TSTP Solution File: ALG127+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG127+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 15:35:16 EDT 2022
% Result : Theorem 6.74s 2.07s
% Output : Proof 16.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG127+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 18:26:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.48/0.59 ____ _
% 0.48/0.59 ___ / __ \_____(_)___ ________ __________
% 0.48/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.48/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.48/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.48/0.59
% 0.48/0.59 A Theorem Prover for First-Order Logic
% 0.48/0.59 (ePrincess v.1.0)
% 0.48/0.59
% 0.48/0.59 (c) Philipp Rümmer, 2009-2015
% 0.48/0.59 (c) Peter Backeman, 2014-2015
% 0.48/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.48/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.48/0.59 Bug reports to peter@backeman.se
% 0.48/0.59
% 0.48/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.48/0.59
% 0.48/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.71/1.20 Prover 0: Preprocessing ...
% 5.14/1.68 Prover 0: Constructing countermodel ...
% 6.74/2.07 Prover 0: proved (1429ms)
% 6.74/2.07
% 6.74/2.07 No countermodel exists, formula is valid
% 6.74/2.07 % SZS status Theorem for theBenchmark
% 6.74/2.07
% 6.74/2.07 Generating proof ... found it (size 2933)
% 14.18/3.92
% 14.18/3.92 % SZS output start Proof for theBenchmark
% 14.18/3.92 Assumed formulas after preprocessing and simplification:
% 14.18/3.92 | (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 = e20) & ~ (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v18) & ~ (v22 = v14) & ~ (v22 = e23) & ~ (v21 = v20) & ~ (v21 = v17) & ~ (v21 = v13) & ~ (v21 = e22) & ~ (v20 = v16) & ~ (v20 = v12) & ~ (v20 = e21) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = e20) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v14) & ~ (v18 = e23) & ~ (v17 = v16) & ~ (v17 = v13) & ~ (v17 = e22) & ~ (v16 = v12) & ~ (v16 = e21) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = e20) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = e23) & ~ (v13 = v12) & ~ (v13 = e22) & ~ (v12 = e21) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v11 = e10) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v10 = e13) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v9 = e12) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v8 = e11) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v7 = e10) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v6 = e13) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v5 = e12) & ~ (v4 = v0) & ~ (v4 = e11) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e10) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e13) & ~ (v1 = v0) & ~ (v1 = e12) & ~ (v0 = e11) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, e13) = v11 & op1(e13, e12) = v10 & op1(e13, e11) = v9 & op1(e13, e10) = v8 & op1(e12, e13) = e10 & op1(e12, e12) = e13 & op1(e12, e11) = e12 & op1(e12, e10) = e11 & op1(e11, e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 & 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) = v44 & h1(v6) = v42 & h1(v5) = v40 & h1(v4) = v38 & h1(v3) = v36 & h1(v2) = v34 & h1(v1) = v32 & h1(v0) = v30 & h1(e13) = v12 & h1(e12) = e20 & h1(e11) = v25 & h1(e10) = v24 & h2(v11) = v82 & h2(v10) = v80 & h2(v9) = v78 & h2(v8) = v76 & h2(v7) = v71 & h2(v6) = v69 & h2(v5) = v67 & h2(v4) = v65 & h2(v3) = v63 & h2(v2) = v61 & h2(v1) = v59 & h2(v0) = v57 & h2(e13) = v17 & h2(e12) = e21 & h2(e11) = v27 & h2(e10) = v26 & h3(v11) = v95 & h3(v10) = v94 & h3(v9) = v93 & h3(v8) = v92 & h3(v7) = v91 & h3(v6) = v90 & h3(v5) = v89 & h3(v4) = v88 & h3(v3) = v87 & h3(v2) = v86 & h3(v1) = v85 & h3(v0) = v84 & h3(e13) = e23 & h3(e12) = e22 & h3(e11) = e21 & h3(e10) = e20 & h4(v11) = v121 & h4(v10) = v119 & h4(v9) = v117 & h4(v8) = v115 & h4(v7) = v110 & h4(v6) = v108 & h4(v5) = v106 & h4(v4) = v104 & h4(v3) = v102 & h4(v2) = v100 & h4(v1) = v98 & h4(v0) = v96 & h4(e13) = v23 & h4(e12) = e23 & h4(e11) = v29 & h4(e10) = v28 & op2(v29, v29) = v107 & op2(v29, v28) = v105 & op2(v29, v23) = v111 & op2(v29, e23) = v109 & op2(v28, v29) = v99 & op2(v28, v28) = v97 & op2(v28, v23) = v103 & op2(v28, e23) = v101 & op2(v27, v27) = v68 & op2(v27, v26) = v66 & op2(v27, v17) = v72 & op2(v27, e21) = v70 & op2(v26, v27) = v60 & op2(v26, v26) = v58 & op2(v26, v17) = v64 & op2(v26, e21) = v62 & op2(v25, v25) = v41 & op2(v25, v24) = v39 & op2(v25, v12) = v45 & op2(v25, e20) = v43 & op2(v24, v25) = v33 & op2(v24, v24) = v31 & op2(v24, v12) = v37 & op2(v24, e20) = v35 & op2(v23, v29) = v118 & op2(v23, v28) = v116 & op2(v23, v23) = v122 & op2(v23, e23) = v120 & op2(v17, v27) = v79 & op2(v17, v26) = v77 & op2(v17, v17) = v83 & op2(v17, e21) = v81 & op2(v12, v25) = v52 & op2(v12, v24) = v50 & op2(v12, v12) = v56 & op2(v12, e20) = v54 & op2(e23, v29) = v113 & op2(e23, v28) = v112 & op2(e23, v28) = v29 & op2(e23, v23) = v114 & op2(e23, v23) = v28 & op2(e23, e23) = v23 & op2(e23, e22) = v22 & op2(e23, e21) = v21 & op2(e23, e20) = v20 & op2(e22, e23) = e20 & op2(e22, e22) = e23 & op2(e22, e21) = e22 & op2(e22, e20) = e21 & op2(e21, v27) = v74 & op2(e21, v26) = v73 & op2(e21, v26) = v27 & op2(e21, v17) = v75 & op2(e21, v17) = v26 & op2(e21, e23) = v19 & op2(e21, e22) = v18 & op2(e21, e21) = v17 & op2(e21, e20) = v16 & op2(e20, v25) = v47 & op2(e20, v24) = v46 & op2(e20, v24) = v25 & op2(e20, v12) = v48 & op2(e20, v12) = v24 & 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 = v28) | ~ (v113 = e23) | ~ (v112 = v29) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 = v98) | ~ (v97 = v96) | ( ~ (v29 = e22) & ~ (v28 = e22) & ~ (v23 = e22)) | ( ~ (v29 = e21) & ~ (v28 = e21) & ~ (v23 = e21)) | ( ~ (v29 = e20) & ~ (v28 = e20))) & ( ~ (v95 = v23) | ~ (v94 = v22) | ~ (v93 = v21) | ~ (v92 = v20) | ~ (v91 = v19) | ~ (v90 = v18) | ~ (v89 = v17) | ~ (v88 = v16) | ~ (v87 = v15) | ~ (v86 = v14) | ~ (v85 = v13) | ~ (v84 = v12)) & ( ~ (v83 = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v26) | ~ (v74 = e21) | ~ (v73 = v27) | ~ (v72 = v71) | ~ (v70 = v69) | ~ (v68 = v67) | ~ (v66 = v65) | ~ (v64 = v63) | ~ (v62 = v61) | ~ (v60 = v59) | ~ (v58 = v57) | ( ~ (v27 = e23) & ~ (v26 = e23) & ~ (v17 = e23)) | ( ~ (v27 = e22) & ~ (v26 = e22)) | ( ~ (v27 = e20) & ~ (v26 = e20) & ~ (v17 = e20))) & ( ~ (v56 = v55) | ~ (v54 = v53) | ~ (v52 = v51) | ~ (v50 = v49) | ~ (v48 = v24) | ~ (v47 = e20) | ~ (v46 = v25) | ~ (v45 = v44) | ~ (v43 = v42) | ~ (v41 = v40) | ~ (v39 = v38) | ~ (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 | v23 = e22 | v23 = e21) & (v23 = e23 | v21 = e23 | v20 = e23) & (v23 = e23 | v19 = e23 | v15 = e23) & (v23 = e22 | v22 = e22 | v20 = e22) & (v23 = e22 | v19 = e22 | v15 = e22) & (v23 = e21 | v22 = e21 | v21 = e21) & (v23 = e21 | v19 = e21 | v15 = e21) & (v22 = e22 | v22 = e21 | v22 = e20) & (v22 = e22 | v18 = e22 | v14 = e22) & (v22 = e21 | v18 = e21 | v14 = e21) & (v22 = e20 | v21 = e20 | v20 = e20) & (v22 = e20 | v18 = e20 | v14 = e20) & (v21 = e23 | v21 = e21 | v21 = e20) & (v21 = e23 | v17 = e23 | v13 = e23) & (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 = e22 | v19 = e21) & (v19 = e23 | v17 = e23 | v16 = e23) & (v19 = e22 | v18 = e22 | v16 = e22) & (v19 = e21 | v18 = e21 | v17 = e21) & (v18 = e22 | v18 = e21 | v18 = e20) & (v18 = e20 | v17 = e20 | v16 = e20) & (v17 = e23 | v17 = e21 | v17 = e20) & (v16 = e23 | v16 = e22 | v16 = e20) & (v15 = e23 | v15 = e22 | v15 = e21) & (v15 = e23 | v13 = e23 | v12 = e23) & (v15 = e22 | v14 = e22 | v12 = e22) & (v15 = e21 | v14 = e21 | v13 = e21) & (v14 = e22 | v14 = e21 | v14 = e20) & (v14 = e20 | v13 = e20 | v12 = e20) & (v13 = e23 | v13 = e21 | v13 = e20) & (v12 = e23 | v12 = e22 | v12 = e20) & (v11 = e13 | v11 = e12 | v11 = e11) & (v11 = e13 | v9 = e13 | v8 = e13) & (v11 = e13 | v7 = e13 | v3 = e13) & (v11 = e12 | v10 = e12 | v8 = e12) & (v11 = e12 | v7 = e12 | v3 = e12) & (v11 = e11 | v10 = e11 | v9 = e11) & (v11 = e11 | v7 = e11 | v3 = e11) & (v10 = e12 | v10 = e11 | v10 = e10) & (v10 = e12 | v6 = e12 | v2 = e12) & (v10 = e11 | v6 = e11 | v2 = e11) & (v10 = e10 | v9 = e10 | v8 = e10) & (v10 = e10 | v6 = e10 | v2 = e10) & (v9 = e13 | v9 = e11 | v9 = e10) & (v9 = e13 | v5 = e13 | v1 = e13) & (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 = e12 | v7 = e11) & (v7 = e13 | v5 = e13 | v4 = e13) & (v7 = e12 | v6 = e12 | v4 = e12) & (v7 = e11 | v6 = e11 | v5 = e11) & (v6 = e12 | v6 = e11 | v6 = e10) & (v6 = e10 | v5 = e10 | v4 = e10) & (v5 = e13 | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e10) & (v3 = e13 | v3 = e12 | v3 = e11) & (v3 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11) & (v2 = e12 | v2 = e11 | v2 = e10) & (v2 = e10 | v1 = e10 | v0 = e10) & (v1 = e13 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12 | v0 = e10) & ((v21 = e23 & ~ (v23 = e21) & ~ (v17 = e21)) | (v20 = e23 & ~ (v12 = e20)) | (v19 = e21 & ~ (v23 = e23) & ~ (v17 = e23)) | (v18 = e21 & ( ~ (v14 = e20) | ~ (v12 = e22))) | (v14 = e20 & ~ (v12 = e22)) | (v13 = e20 & ~ (v17 = e21) & ( ~ (v23 = e21) | ~ (v21 = e23))) | ( ~ (v17 = e21) & ( ~ (v23 = e21) | ~ (v21 = e23)))) & ((v17 = e21 & ( ~ (v23 = e21) | v21 = e23)) | (v12 = e20 & ~ (v17 = e20))) & ((v9 = e13 & ~ (v11 = e11) & ~ (v5 = e11)) | (v8 = e13 & ~ (v0 = e10)) | (v7 = e11 & ~ (v11 = e13) & ~ (v5 = e13)) | (v6 = e11 & ( ~ (v2 = e10) | ~ (v0 = e12))) | (v2 = e10 & ~ (v0 = e12)) | (v1 = e10 & ~ (v5 = e11) & ( ~ (v11 = e11) | ~ (v9 = e13))) | ( ~ (v5 = e11) & ( ~ (v11 = e11) | ~ (v9 = e13)))) & ((v5 = e11 & ( ~ (v11 = e11) | v9 = e13)) | (v0 = e10 & ~ (v5 = e10))))
% 14.59/3.98 | 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:
% 14.59/3.98 | (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 = e20) & ~ (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 = e23) & ~ (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 = e22) & ~ (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 = e20) & ~ (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 = e23) & ~ (all_0_105_105 = all_0_106_106) & ~ (all_0_105_105 = all_0_109_109) & ~ (all_0_105_105 = e22) & ~ (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 = e20) & ~ (all_0_108_108 = all_0_109_109) & ~ (all_0_108_108 = all_0_110_110) & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = all_0_110_110) & ~ (all_0_109_109 = e22) & ~ (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 = e10) & ~ (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 = e13) & ~ (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 = e12) & ~ (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 = e10) & ~ (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 = e13) & ~ (all_0_117_117 = all_0_118_118) & ~ (all_0_117_117 = all_0_121_121) & ~ (all_0_117_117 = e12) & ~ (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 = e10) & ~ (all_0_120_120 = all_0_121_121) & ~ (all_0_120_120 = all_0_122_122) & ~ (all_0_120_120 = e13) & ~ (all_0_121_121 = all_0_122_122) & ~ (all_0_121_121 = e12) & ~ (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(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, e13) = e10 & op1(e12, e12) = e13 & op1(e12, e11) = e12 & op1(e12, e10) = e11 & op1(e11, e13) = all_0_115_115 & op1(e11, e12) = all_0_116_116 & op1(e11, e11) = all_0_117_117 & op1(e11, e10) = all_0_118_118 & 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_78_78 & h1(all_0_116_116) = all_0_80_80 & h1(all_0_117_117) = all_0_82_82 & h1(all_0_118_118) = all_0_84_84 & 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) = e20 & h1(e11) = all_0_97_97 & h1(e10) = all_0_98_98 & h2(all_0_111_111) = all_0_40_40 & h2(all_0_112_112) = all_0_42_42 & h2(all_0_113_113) = all_0_44_44 & h2(all_0_114_114) = all_0_46_46 & h2(all_0_115_115) = all_0_51_51 & h2(all_0_116_116) = all_0_53_53 & h2(all_0_117_117) = all_0_55_55 & h2(all_0_118_118) = all_0_57_57 & h2(all_0_119_119) = all_0_59_59 & h2(all_0_120_120) = all_0_61_61 & h2(all_0_121_121) = all_0_63_63 & h2(all_0_122_122) = all_0_65_65 & h2(e13) = all_0_105_105 & h2(e12) = e21 & h2(e11) = all_0_95_95 & h2(e10) = all_0_96_96 & h3(all_0_111_111) = all_0_27_27 & h3(all_0_112_112) = all_0_28_28 & h3(all_0_113_113) = all_0_29_29 & h3(all_0_114_114) = all_0_30_30 & h3(all_0_115_115) = all_0_31_31 & h3(all_0_116_116) = all_0_32_32 & h3(all_0_117_117) = all_0_33_33 & h3(all_0_118_118) = all_0_34_34 & h3(all_0_119_119) = all_0_35_35 & h3(all_0_120_120) = all_0_36_36 & h3(all_0_121_121) = all_0_37_37 & h3(all_0_122_122) = all_0_38_38 & h3(e13) = e23 & h3(e12) = e22 & h3(e11) = e21 & h3(e10) = e20 & 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_12_12 & h4(all_0_116_116) = all_0_14_14 & h4(all_0_117_117) = all_0_16_16 & h4(all_0_118_118) = all_0_18_18 & 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) = e23 & h4(e11) = all_0_93_93 & h4(e10) = all_0_94_94 & op2(all_0_93_93, all_0_93_93) = all_0_15_15 & op2(all_0_93_93, all_0_94_94) = all_0_17_17 & op2(all_0_93_93, all_0_99_99) = all_0_11_11 & op2(all_0_93_93, e23) = all_0_13_13 & op2(all_0_94_94, all_0_93_93) = all_0_23_23 & 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_21_21 & op2(all_0_95_95, all_0_95_95) = all_0_54_54 & op2(all_0_95_95, all_0_96_96) = all_0_56_56 & op2(all_0_95_95, all_0_105_105) = all_0_50_50 & op2(all_0_95_95, e21) = all_0_52_52 & op2(all_0_96_96, all_0_95_95) = all_0_62_62 & op2(all_0_96_96, all_0_96_96) = all_0_64_64 & op2(all_0_96_96, all_0_105_105) = all_0_58_58 & op2(all_0_96_96, e21) = all_0_60_60 & op2(all_0_97_97, all_0_97_97) = all_0_81_81 & op2(all_0_97_97, all_0_98_98) = all_0_83_83 & op2(all_0_97_97, all_0_110_110) = all_0_77_77 & op2(all_0_97_97, e20) = all_0_79_79 & op2(all_0_98_98, all_0_97_97) = all_0_89_89 & 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_87_87 & op2(all_0_99_99, all_0_93_93) = all_0_4_4 & 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_2_2 & op2(all_0_105_105, all_0_95_95) = all_0_43_43 & op2(all_0_105_105, all_0_96_96) = all_0_45_45 & op2(all_0_105_105, all_0_105_105) = all_0_39_39 & op2(all_0_105_105, e21) = all_0_41_41 & op2(all_0_110_110, all_0_97_97) = all_0_70_70 & 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_68_68 & op2(e23, all_0_93_93) = all_0_9_9 & op2(e23, all_0_94_94) = all_0_10_10 & op2(e23, all_0_94_94) = all_0_93_93 & op2(e23, all_0_99_99) = all_0_8_8 & op2(e23, all_0_99_99) = all_0_94_94 & 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, e23) = e20 & op2(e22, e22) = e23 & op2(e22, e21) = e22 & op2(e22, e20) = e21 & op2(e21, all_0_95_95) = all_0_48_48 & op2(e21, all_0_96_96) = all_0_49_49 & op2(e21, all_0_96_96) = all_0_95_95 & op2(e21, all_0_105_105) = all_0_47_47 & op2(e21, all_0_105_105) = all_0_96_96 & op2(e21, e23) = all_0_103_103 & op2(e21, e22) = all_0_104_104 & op2(e21, e21) = all_0_105_105 & op2(e21, e20) = all_0_106_106 & op2(e20, all_0_97_97) = all_0_75_75 & op2(e20, all_0_98_98) = all_0_76_76 & op2(e20, all_0_98_98) = all_0_97_97 & op2(e20, all_0_110_110) = all_0_74_74 & op2(e20, all_0_110_110) = all_0_98_98 & 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_94_94) | ~ (all_0_9_9 = e23) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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_27_27 = all_0_99_99) | ~ (all_0_28_28 = all_0_100_100) | ~ (all_0_29_29 = all_0_101_101) | ~ (all_0_30_30 = all_0_102_102) | ~ (all_0_31_31 = all_0_103_103) | ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)) & ( ~ (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_96_96) | ~ (all_0_48_48 = e21) | ~ (all_0_49_49 = all_0_95_95) | ~ (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_95_95 = e23) & ~ (all_0_96_96 = e23) & ~ (all_0_105_105 = e23)) | ( ~ (all_0_95_95 = e22) & ~ (all_0_96_96 = e22)) | ( ~ (all_0_95_95 = e20) & ~ (all_0_96_96 = e20) & ~ (all_0_105_105 = e20))) & ( ~ (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_98_98) | ~ (all_0_75_75 = e20) | ~ (all_0_76_76 = all_0_97_97) | ~ (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_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_99_99 = e22 | all_0_99_99 = e21) & (all_0_99_99 = e23 | all_0_101_101 = 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 = e22 | all_0_100_100 = e22 | all_0_102_102 = e22) & (all_0_99_99 = e22 | all_0_103_103 = e22 | all_0_107_107 = e22) & (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_100_100 = e22 | all_0_100_100 = e21 | all_0_100_100 = e20) & (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_100_100 = e20 | all_0_101_101 = e20 | all_0_102_102 = e20) & (all_0_100_100 = e20 | all_0_104_104 = e20 | all_0_108_108 = e20) & (all_0_101_101 = e23 | all_0_101_101 = e21 | all_0_101_101 = e20) & (all_0_101_101 = e23 | all_0_105_105 = e23 | all_0_109_109 = e23) & (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 = e22 | all_0_103_103 = e21) & (all_0_103_103 = e23 | all_0_105_105 = e23 | all_0_106_106 = e23) & (all_0_103_103 = e22 | all_0_104_104 = e22 | all_0_106_106 = e22) & (all_0_103_103 = e21 | all_0_104_104 = e21 | all_0_105_105 = e21) & (all_0_104_104 = e22 | all_0_104_104 = e21 | all_0_104_104 = e20) & (all_0_104_104 = e20 | all_0_105_105 = e20 | all_0_106_106 = e20) & (all_0_105_105 = e23 | 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 = e22 | all_0_107_107 = e21) & (all_0_107_107 = e23 | all_0_109_109 = e23 | all_0_110_110 = e23) & (all_0_107_107 = e22 | all_0_108_108 = e22 | all_0_110_110 = e22) & (all_0_107_107 = e21 | all_0_108_108 = e21 | all_0_109_109 = e21) & (all_0_108_108 = e22 | all_0_108_108 = e21 | all_0_108_108 = e20) & (all_0_108_108 = e20 | all_0_109_109 = e20 | all_0_110_110 = e20) & (all_0_109_109 = e23 | 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 = e12 | all_0_111_111 = e11) & (all_0_111_111 = e13 | all_0_113_113 = 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 = e12 | all_0_112_112 = e12 | all_0_114_114 = e12) & (all_0_111_111 = e12 | all_0_115_115 = e12 | all_0_119_119 = e12) & (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_112_112 = e12 | all_0_112_112 = e11 | all_0_112_112 = e10) & (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_112_112 = e10 | all_0_113_113 = e10 | all_0_114_114 = e10) & (all_0_112_112 = e10 | all_0_116_116 = e10 | all_0_120_120 = e10) & (all_0_113_113 = e13 | all_0_113_113 = e11 | all_0_113_113 = e10) & (all_0_113_113 = e13 | all_0_117_117 = e13 | all_0_121_121 = e13) & (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 = e12 | all_0_115_115 = e11) & (all_0_115_115 = e13 | all_0_117_117 = e13 | all_0_118_118 = e13) & (all_0_115_115 = e12 | all_0_116_116 = e12 | all_0_118_118 = e12) & (all_0_115_115 = e11 | all_0_116_116 = e11 | all_0_117_117 = e11) & (all_0_116_116 = e12 | all_0_116_116 = e11 | all_0_116_116 = e10) & (all_0_116_116 = e10 | all_0_117_117 = e10 | all_0_118_118 = e10) & (all_0_117_117 = e13 | 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 = e12 | all_0_119_119 = e11) & (all_0_119_119 = e13 | all_0_121_121 = e13 | all_0_122_122 = e13) & (all_0_119_119 = e12 | all_0_120_120 = e12 | all_0_122_122 = e12) & (all_0_119_119 = e11 | all_0_120_120 = e11 | all_0_121_121 = e11) & (all_0_120_120 = e12 | all_0_120_120 = e11 | all_0_120_120 = e10) & (all_0_120_120 = e10 | all_0_121_121 = e10 | all_0_122_122 = e10) & (all_0_121_121 = e13 | 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) & ((all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22)) | (all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))) | ( ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)))) & ((all_0_105_105 = e21 & ( ~ (all_0_99_99 = e21) | all_0_101_101 = e23)) | (all_0_110_110 = e20 & ~ (all_0_105_105 = e20))) & ((all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))) | ( ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))) & ((all_0_117_117 = e11 & ( ~ (all_0_111_111 = e11) | all_0_113_113 = e13)) | (all_0_122_122 = e10 & ~ (all_0_117_117 = e10)))
% 14.85/4.01 |
% 14.85/4.01 | Applying alpha-rule on (1) yields:
% 14.85/4.01 | (2) all_0_111_111 = e13 | all_0_113_113 = e13 | all_0_114_114 = e13
% 14.85/4.01 | (3) ~ (all_0_107_107 = all_0_109_109)
% 14.85/4.01 | (4) h2(all_0_120_120) = all_0_61_61
% 14.85/4.01 | (5) h3(e13) = e23
% 14.85/4.01 | (6) h1(all_0_118_118) = all_0_84_84
% 14.85/4.01 | (7) op2(e23, all_0_94_94) = all_0_10_10
% 14.85/4.01 | (8) op2(e20, e20) = all_0_110_110
% 14.85/4.01 | (9) all_0_100_100 = e22 | all_0_100_100 = e21 | all_0_100_100 = e20
% 14.85/4.01 | (10) ~ (all_0_119_119 = all_0_122_122)
% 14.85/4.01 | (11) op2(all_0_95_95, all_0_105_105) = all_0_50_50
% 14.85/4.01 | (12) h3(all_0_122_122) = all_0_38_38
% 14.85/4.01 | (13) h2(all_0_122_122) = all_0_65_65
% 14.85/4.01 | (14) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))) | ( ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 14.85/4.01 | (15) h3(all_0_116_116) = all_0_32_32
% 14.85/4.01 | (16) op2(all_0_105_105, e21) = all_0_41_41
% 14.85/4.01 | (17) all_0_112_112 = e10 | all_0_113_113 = e10 | all_0_114_114 = e10
% 14.85/4.01 | (18) op2(all_0_110_110, all_0_97_97) = all_0_70_70
% 14.85/4.01 | (19) ~ (all_0_113_113 = all_0_117_117)
% 14.85/4.01 | (20) ~ (all_0_116_116 = all_0_118_118)
% 14.85/4.01 | (21) ~ (all_0_119_119 = all_0_121_121)
% 14.85/4.01 | (22) all_0_104_104 = e22 | all_0_104_104 = e21 | all_0_104_104 = e20
% 14.85/4.01 | (23) op2(all_0_96_96, all_0_96_96) = all_0_64_64
% 14.85/4.01 | (24) ~ (all_0_103_103 = e20)
% 14.85/4.01 | (25) ~ (e23 = e22)
% 14.85/4.01 | (26) op2(all_0_96_96, all_0_105_105) = all_0_58_58
% 14.85/4.01 | (27) ~ (all_0_115_115 = all_0_119_119)
% 14.85/4.01 | (28) ~ (all_0_103_103 = all_0_105_105)
% 14.85/4.01 | (29) h3(all_0_113_113) = all_0_29_29
% 14.85/4.01 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 14.85/4.01 | (31) ~ (e21 = e10)
% 14.85/4.01 | (32) h3(all_0_118_118) = all_0_34_34
% 14.85/4.01 | (33) op2(all_0_99_99, e23) = all_0_2_2
% 14.85/4.01 | (34) ~ (all_0_114_114 = all_0_118_118)
% 14.85/4.01 | (35) op2(all_0_98_98, all_0_110_110) = all_0_85_85
% 14.85/4.01 | (36) ~ (all_0_107_107 = e20)
% 14.85/4.01 | (37) ~ (e22 = e11)
% 14.85/4.01 | (38) all_0_107_107 = e22 | all_0_108_108 = e22 | all_0_110_110 = e22
% 14.85/4.01 | (39) op2(e20, e21) = all_0_109_109
% 14.85/4.01 | (40) all_0_110_110 = e23 | all_0_110_110 = e22 | all_0_110_110 = e20
% 14.85/4.01 | (41) ~ (all_0_112_112 = all_0_120_120)
% 14.85/4.01 | (42) ~ (all_0_104_104 = e23)
% 14.85/4.01 | (43) ~ (all_0_102_102 = all_0_110_110)
% 14.85/4.01 | (44) op2(all_0_93_93, all_0_93_93) = all_0_15_15
% 14.85/4.01 | (45) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22)) | (all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))) | ( ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)))
% 14.85/4.01 | (46) all_0_115_115 = e13 | all_0_115_115 = e12 | all_0_115_115 = e11
% 14.85/4.01 | (47) op1(e10, e10) = all_0_122_122
% 14.85/4.01 | (48) all_0_111_111 = e11 | all_0_112_112 = e11 | all_0_113_113 = e11
% 14.85/4.01 | (49) ~ (all_0_120_120 = e13)
% 14.85/4.01 | (50) h2(all_0_121_121) = all_0_63_63
% 14.85/4.01 | (51) all_0_107_107 = e21 | all_0_108_108 = e21 | all_0_109_109 = e21
% 14.85/4.01 | (52) h4(all_0_119_119) = all_0_20_20
% 14.85/4.01 | (53) h2(all_0_113_113) = all_0_44_44
% 14.85/4.01 | (54) h3(e11) = e21
% 14.85/4.01 | (55) ~ (all_0_100_100 = all_0_102_102)
% 14.85/4.01 | (56) op2(e21, all_0_105_105) = all_0_96_96
% 14.85/4.01 | (57) all_0_114_114 = e13 | all_0_118_118 = e13 | all_0_122_122 = e13
% 14.85/4.01 | (58) op1(e13, e13) = all_0_111_111
% 14.85/4.01 | (59) all_0_101_101 = e23 | all_0_101_101 = e21 | all_0_101_101 = e20
% 14.85/4.01 | (60) op2(e20, all_0_97_97) = all_0_75_75
% 14.85/4.01 | (61) all_0_119_119 = e11 | all_0_120_120 = e11 | all_0_121_121 = e11
% 14.85/4.01 | (62) all_0_113_113 = e10 | all_0_117_117 = e10 | all_0_121_121 = e10
% 14.85/4.01 | (63) all_0_103_103 = e23 | all_0_103_103 = e22 | all_0_103_103 = e21
% 14.85/4.01 | (64) op1(e10, e11) = all_0_121_121
% 14.85/4.01 | (65) op2(all_0_94_94, e23) = all_0_21_21
% 14.85/4.01 | (66) ~ (all_0_106_106 = e21)
% 14.85/4.01 | (67) op2(all_0_110_110, e20) = all_0_68_68
% 14.85/4.02 | (68) op2(all_0_95_95, e21) = all_0_52_52
% 14.85/4.02 | (69) op2(all_0_99_99, all_0_93_93) = all_0_4_4
% 14.85/4.02 | (70) h4(e12) = e23
% 14.85/4.02 | (71) ~ (all_0_115_115 = all_0_116_116)
% 14.85/4.02 | (72) op1(e10, e13) = all_0_119_119
% 14.85/4.02 | (73) op2(e23, e21) = all_0_101_101
% 14.85/4.02 | (74) h2(e11) = all_0_95_95
% 14.85/4.02 | (75) op2(e20, e22) = all_0_108_108
% 14.85/4.02 | (76) ~ (all_0_107_107 = all_0_110_110)
% 14.85/4.02 | (77) op2(all_0_105_105, all_0_96_96) = all_0_45_45
% 14.85/4.02 | (78) op2(e22, e23) = e20
% 14.85/4.02 | (79) ~ (all_0_120_120 = all_0_122_122)
% 14.85/4.02 | (80) op1(e13, e11) = all_0_113_113
% 14.85/4.02 | (81) op2(all_0_98_98, e20) = all_0_87_87
% 14.85/4.02 | (82) ~ (all_0_105_105 = all_0_109_109)
% 14.85/4.02 | (83) h1(e11) = all_0_97_97
% 14.85/4.02 | (84) ~ (all_0_116_116 = e13)
% 14.85/4.02 | (85) op1(e12, e13) = e10
% 14.85/4.02 | (86) h1(all_0_116_116) = all_0_80_80
% 14.85/4.02 | (87) op2(e22, e20) = e21
% 14.85/4.02 | (88) all_0_102_102 = e23 | all_0_102_102 = e22 | all_0_102_102 = e20
% 14.85/4.02 | (89) op2(all_0_105_105, all_0_105_105) = all_0_39_39
% 14.85/4.02 | (90) ~ (all_0_104_104 = all_0_108_108)
% 14.85/4.02 | (91) h1(all_0_121_121) = all_0_90_90
% 14.85/4.02 | (92) all_0_115_115 = e12 | all_0_116_116 = e12 | all_0_118_118 = e12
% 14.85/4.02 | (93) h4(all_0_121_121) = all_0_24_24
% 14.85/4.02 | (94) all_0_121_121 = e13 | all_0_121_121 = e11 | all_0_121_121 = e10
% 14.85/4.02 | (95) ~ (all_0_111_111 = all_0_112_112)
% 14.85/4.02 | (96) all_0_111_111 = e13 | all_0_115_115 = e13 | all_0_119_119 = e13
% 14.85/4.02 | (97) h2(all_0_116_116) = all_0_53_53
% 14.85/4.02 | (98) h2(all_0_111_111) = all_0_40_40
% 14.85/4.02 | (99) ~ (all_0_105_105 = all_0_106_106)
% 14.85/4.02 | (100) op2(e23, e23) = all_0_99_99
% 14.85/4.02 | (101) all_0_102_102 = e23 | all_0_106_106 = e23 | all_0_110_110 = e23
% 14.85/4.02 | (102) ~ (all_0_103_103 = all_0_104_104)
% 14.85/4.02 | (103) op1(e11, e13) = all_0_115_115
% 14.85/4.02 | (104) op1(e13, e12) = all_0_112_112
% 14.85/4.02 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 14.85/4.02 | (106) ~ (e23 = e13)
% 14.85/4.02 | (107) op2(all_0_94_94, all_0_93_93) = all_0_23_23
% 14.85/4.02 | (108) ~ (all_0_114_114 = e11)
% 14.85/4.02 | (109) op2(e23, all_0_93_93) = all_0_9_9
% 14.85/4.02 | (110) all_0_111_111 = e11 | all_0_115_115 = e11 | all_0_119_119 = e11
% 14.85/4.02 | (111) h4(all_0_117_117) = all_0_16_16
% 14.85/4.02 | (112) ~ (all_0_101_101 = all_0_109_109)
% 14.85/4.02 | (113) h4(all_0_116_116) = all_0_14_14
% 14.85/4.02 | (114) all_0_112_112 = e10 | all_0_116_116 = e10 | all_0_120_120 = e10
% 14.85/4.02 | (115) op2(e21, e20) = all_0_106_106
% 14.85/4.02 | (116) op2(all_0_99_99, all_0_99_99) = all_0_0_0
% 14.85/4.02 | (117) ~ (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_98_98) | ~ (all_0_75_75 = e20) | ~ (all_0_76_76 = all_0_97_97) | ~ (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_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))
% 14.85/4.02 | (118) ~ (all_0_103_103 = all_0_106_106)
% 14.85/4.02 | (119) all_0_120_120 = e12 | all_0_120_120 = e11 | all_0_120_120 = e10
% 14.85/4.02 | (120) ~ (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_96_96) | ~ (all_0_48_48 = e21) | ~ (all_0_49_49 = all_0_95_95) | ~ (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_95_95 = e23) & ~ (all_0_96_96 = e23) & ~ (all_0_105_105 = e23)) | ( ~ (all_0_95_95 = e22) & ~ (all_0_96_96 = e22)) | ( ~ (all_0_95_95 = e20) & ~ (all_0_96_96 = e20) & ~ (all_0_105_105 = e20))
% 14.85/4.02 | (121) h1(all_0_111_111) = all_0_67_67
% 14.85/4.02 | (122) ~ (e22 = e20)
% 14.85/4.02 | (123) ~ (all_0_103_103 = all_0_107_107)
% 14.85/4.02 | (124) ~ (all_0_108_108 = all_0_109_109)
% 14.85/4.02 | (125) h4(e10) = all_0_94_94
% 14.85/4.02 | (126) op2(e20, all_0_110_110) = all_0_98_98
% 14.85/4.02 | (127) op2(e21, all_0_96_96) = all_0_95_95
% 14.85/4.02 | (128) h1(e10) = all_0_98_98
% 14.85/4.02 | (129) op2(e23, e20) = all_0_102_102
% 14.85/4.02 | (130) ~ (all_0_101_101 = e22)
% 14.85/4.02 | (131) h4(all_0_118_118) = all_0_18_18
% 14.85/4.02 | (132) h2(all_0_112_112) = all_0_42_42
% 14.85/4.02 | (133) h4(all_0_114_114) = all_0_7_7
% 14.85/4.02 | (134) ~ (all_0_107_107 = all_0_108_108)
% 14.85/4.02 | (135) h3(all_0_114_114) = all_0_30_30
% 14.85/4.02 | (136) all_0_119_119 = e13 | all_0_121_121 = e13 | all_0_122_122 = e13
% 14.85/4.03 | (137) op2(e20, all_0_98_98) = all_0_97_97
% 14.85/4.03 | (138) op2(e21, e23) = all_0_103_103
% 14.85/4.03 | (139) ~ (all_0_118_118 = e11)
% 14.85/4.03 | (140) all_0_102_102 = e22 | all_0_106_106 = e22 | all_0_110_110 = e22
% 14.85/4.03 | (141) ~ (all_0_27_27 = all_0_99_99) | ~ (all_0_28_28 = all_0_100_100) | ~ (all_0_29_29 = all_0_101_101) | ~ (all_0_30_30 = all_0_102_102) | ~ (all_0_31_31 = all_0_103_103) | ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 14.85/4.03 | (142) ~ (all_0_117_117 = all_0_121_121)
% 14.85/4.03 | (143) all_0_99_99 = e21 | all_0_103_103 = e21 | all_0_107_107 = e21
% 14.85/4.03 | (144) h4(e13) = all_0_99_99
% 14.85/4.03 | (145) op1(e13, e10) = all_0_114_114
% 14.85/4.03 | (146) all_0_111_111 = e12 | all_0_115_115 = e12 | all_0_119_119 = e12
% 14.85/4.03 | (147) ~ (e21 = e11)
% 14.85/4.03 | (148) ~ (e12 = e10)
% 14.85/4.03 | (149) all_0_111_111 = e12 | all_0_112_112 = e12 | all_0_114_114 = e12
% 14.85/4.03 | (150) op2(all_0_110_110, all_0_98_98) = all_0_72_72
% 14.85/4.03 | (151) ~ (all_0_115_115 = e10)
% 14.85/4.03 | (152) op1(e11, e10) = all_0_118_118
% 14.85/4.03 | (153) op2(all_0_94_94, all_0_99_99) = all_0_19_19
% 14.85/4.03 | (154) ~ (all_0_109_109 = e22)
% 14.85/4.03 | (155) op2(all_0_95_95, all_0_96_96) = all_0_56_56
% 14.85/4.03 | (156) ~ (e20 = e10)
% 14.85/4.03 | (157) all_0_119_119 = e13 | all_0_119_119 = e12 | all_0_119_119 = e11
% 14.85/4.03 | (158) ~ (all_0_116_116 = all_0_120_120)
% 14.85/4.03 | (159) op2(e21, all_0_95_95) = all_0_48_48
% 14.85/4.03 | (160) all_0_109_109 = e23 | all_0_109_109 = e21 | all_0_109_109 = e20
% 14.85/4.03 | (161) h1(all_0_119_119) = all_0_86_86
% 14.85/4.03 | (162) h3(all_0_119_119) = all_0_35_35
% 14.85/4.03 | (163) ~ (all_0_121_121 = all_0_122_122)
% 14.85/4.03 | (164) op2(all_0_93_93, all_0_94_94) = all_0_17_17
% 14.85/4.03 | (165) all_0_100_100 = e20 | all_0_101_101 = e20 | all_0_102_102 = e20
% 14.85/4.03 | (166) all_0_113_113 = e11 | all_0_117_117 = e11 | all_0_121_121 = e11
% 14.85/4.03 | (167) h3(e10) = e20
% 14.85/4.03 | (168) h4(all_0_120_120) = all_0_22_22
% 14.85/4.03 | (169) ~ (all_0_113_113 = all_0_114_114)
% 14.85/4.03 | (170) h3(all_0_115_115) = all_0_31_31
% 14.85/4.03 | (171) h2(e13) = all_0_105_105
% 14.85/4.03 | (172) h2(all_0_115_115) = all_0_51_51
% 14.85/4.03 | (173) ~ (all_0_111_111 = all_0_119_119)
% 14.85/4.03 | (174) all_0_115_115 = e11 | all_0_116_116 = e11 | all_0_117_117 = e11
% 14.85/4.03 | (175) all_0_99_99 = e22 | all_0_103_103 = e22 | all_0_107_107 = e22
% 14.85/4.03 | (176) op2(all_0_99_99, all_0_94_94) = all_0_6_6
% 14.85/4.03 | (177) h1(e12) = e20
% 14.85/4.03 | (178) op2(all_0_97_97, all_0_98_98) = all_0_83_83
% 14.85/4.03 | (179) ~ (e13 = e10)
% 14.85/4.03 | (180) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 14.85/4.03 | (181) all_0_101_101 = e20 | all_0_105_105 = e20 | all_0_109_109 = e20
% 14.85/4.03 | (182) all_0_102_102 = e20 | all_0_106_106 = e20 | all_0_110_110 = e20
% 14.85/4.03 | (183) all_0_100_100 = e21 | all_0_104_104 = e21 | all_0_108_108 = e21
% 14.85/4.03 | (184) h1(all_0_117_117) = all_0_82_82
% 14.85/4.03 | (185) op1(e10, e12) = all_0_120_120
% 14.85/4.03 | (186) op2(all_0_97_97, all_0_110_110) = all_0_77_77
% 14.85/4.03 | (187) all_0_111_111 = e13 | all_0_111_111 = e12 | all_0_111_111 = e11
% 14.85/4.03 | (188) all_0_99_99 = e23 | all_0_99_99 = e22 | all_0_99_99 = e21
% 14.85/4.03 | (189) all_0_116_116 = e10 | all_0_117_117 = e10 | all_0_118_118 = e10
% 14.85/4.03 | (190) h4(all_0_112_112) = all_0_3_3
% 14.85/4.03 | (191) all_0_108_108 = e20 | all_0_109_109 = e20 | all_0_110_110 = e20
% 14.85/4.03 | (192) ~ (e20 = e13)
% 14.85/4.03 | (193) h1(all_0_114_114) = all_0_73_73
% 14.85/4.03 | (194) ~ (all_0_102_102 = e21)
% 14.85/4.03 | (195) h1(all_0_122_122) = all_0_92_92
% 14.85/4.03 | (196) op2(e23, all_0_99_99) = all_0_94_94
% 14.85/4.03 | (197) h2(all_0_119_119) = all_0_59_59
% 14.85/4.03 | (198) ~ (all_0_108_108 = all_0_110_110)
% 14.85/4.03 | (199) ~ (e20 = e11)
% 14.85/4.03 | (200) ~ (all_0_116_116 = all_0_117_117)
% 14.85/4.03 | (201) ~ (all_0_118_118 = all_0_122_122)
% 14.85/4.03 | (202) h2(all_0_117_117) = all_0_55_55
% 14.85/4.03 | (203) ~ (all_0_101_101 = all_0_102_102)
% 14.85/4.03 | (204) op2(all_0_105_105, all_0_95_95) = all_0_43_43
% 14.85/4.03 | (205) ~ (e23 = e10)
% 14.85/4.03 | (206) op2(e21, e21) = all_0_105_105
% 14.85/4.03 | (207) ~ (all_0_112_112 = all_0_113_113)
% 14.85/4.03 | (208) op2(e20, e23) = all_0_107_107
% 14.85/4.03 | (209) all_0_117_117 = e13 | all_0_117_117 = e11 | all_0_117_117 = e10
% 14.85/4.03 | (210) all_0_119_119 = e12 | all_0_120_120 = e12 | all_0_122_122 = e12
% 14.85/4.03 | (211) ~ (all_0_100_100 = all_0_101_101)
% 14.85/4.03 | (212) h3(all_0_120_120) = all_0_36_36
% 14.85/4.03 | (213) h3(all_0_121_121) = all_0_37_37
% 14.85/4.03 | (214) op2(all_0_93_93, e23) = all_0_13_13
% 14.85/4.03 | (215) all_0_112_112 = e12 | all_0_112_112 = e11 | all_0_112_112 = e10
% 14.85/4.03 | (216) h4(all_0_111_111) = all_0_1_1
% 14.85/4.03 | (217) all_0_116_116 = e12 | all_0_116_116 = e11 | all_0_116_116 = e10
% 14.85/4.03 | (218) ~ (all_0_111_111 = all_0_115_115)
% 14.85/4.03 | (219) h2(all_0_118_118) = all_0_57_57
% 14.85/4.03 | (220) ~ (all_0_100_100 = all_0_104_104)
% 14.85/4.03 | (221) ~ (all_0_99_99 = all_0_102_102)
% 14.85/4.03 | (222) ~ (all_0_102_102 = all_0_106_106)
% 14.85/4.03 | (223) op2(e23, all_0_94_94) = all_0_93_93
% 14.85/4.03 | (224) ~ (e22 = e21)
% 14.85/4.03 | (225) op2(e22, e22) = e23
% 14.85/4.03 | (226) ~ (all_0_99_99 = all_0_103_103)
% 14.85/4.03 | (227) op2(all_0_98_98, all_0_97_97) = all_0_89_89
% 14.85/4.03 | (228) h2(e12) = e21
% 14.85/4.03 | (229) all_0_101_101 = e21 | all_0_105_105 = e21 | all_0_109_109 = e21
% 14.85/4.03 | (230) ~ (all_0_117_117 = e12)
% 14.85/4.03 | (231) all_0_122_122 = e13 | all_0_122_122 = e12 | all_0_122_122 = e10
% 14.85/4.03 | (232) ~ (all_0_120_120 = all_0_121_121)
% 14.85/4.03 | (233) ~ (all_0_99_99 = e20)
% 14.85/4.03 | (234) ~ (all_0_112_112 = all_0_114_114)
% 14.85/4.03 | (235) ~ (all_0_101_101 = all_0_105_105)
% 14.85/4.03 | (236) ~ (e23 = e12)
% 14.85/4.03 | (237) all_0_99_99 = e23 | all_0_103_103 = e23 | all_0_107_107 = e23
% 14.85/4.03 | (238) all_0_104_104 = e20 | all_0_105_105 = e20 | all_0_106_106 = e20
% 14.85/4.03 | (239) op2(e20, all_0_98_98) = all_0_76_76
% 14.85/4.03 | (240) (all_0_105_105 = e21 & ( ~ (all_0_99_99 = e21) | all_0_101_101 = e23)) | (all_0_110_110 = e20 & ~ (all_0_105_105 = e20))
% 14.85/4.03 | (241) op2(e20, all_0_110_110) = all_0_74_74
% 14.85/4.03 | (242) ~ (e20 = e12)
% 14.85/4.03 | (243) ~ (e23 = e20)
% 14.85/4.03 | (244) ~ (all_0_104_104 = all_0_105_105)
% 14.85/4.03 | (245) (all_0_117_117 = e11 & ( ~ (all_0_111_111 = e11) | all_0_113_113 = e13)) | (all_0_122_122 = e10 & ~ (all_0_117_117 = e10))
% 14.85/4.03 | (246) h3(all_0_111_111) = all_0_27_27
% 14.85/4.03 | (247) op2(e21, all_0_105_105) = all_0_47_47
% 14.85/4.03 | (248) op2(e23, all_0_99_99) = all_0_8_8
% 14.85/4.04 | (249) all_0_99_99 = e23 | all_0_101_101 = e23 | all_0_102_102 = e23
% 14.85/4.04 | (250) op2(all_0_93_93, all_0_99_99) = all_0_11_11
% 14.85/4.04 | (251) ~ (all_0_99_99 = all_0_101_101)
% 14.85/4.04 | (252) all_0_114_114 = e13 | all_0_114_114 = e12 | all_0_114_114 = e10
% 14.85/4.04 | (253) ~ (e23 = e21)
% 14.85/4.04 | (254) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 14.85/4.04 | (255) all_0_112_112 = e12 | all_0_116_116 = e12 | all_0_120_120 = e12
% 14.85/4.04 | (256) all_0_107_107 = e23 | all_0_107_107 = e22 | all_0_107_107 = e21
% 14.85/4.04 | (257) ~ (e22 = e13)
% 14.85/4.04 | (258) op2(all_0_96_96, e21) = all_0_60_60
% 14.85/4.04 | (259) ~ (e22 = e12)
% 14.85/4.04 | (260) all_0_99_99 = e21 | all_0_100_100 = e21 | all_0_101_101 = e21
% 14.85/4.04 | (261) ~ (e13 = e12)
% 14.85/4.04 | (262) all_0_107_107 = e23 | all_0_109_109 = e23 | all_0_110_110 = e23
% 14.85/4.04 | (263) all_0_101_101 = e23 | all_0_105_105 = e23 | all_0_109_109 = e23
% 14.85/4.04 | (264) ~ (all_0_105_105 = e22)
% 14.85/4.04 | (265) h3(all_0_112_112) = all_0_28_28
% 14.85/4.04 | (266) op2(e23, e22) = all_0_100_100
% 14.85/4.04 | (267) ~ (all_0_115_115 = all_0_118_118)
% 14.85/4.04 | (268) h3(all_0_117_117) = all_0_33_33
% 14.85/4.04 | (269) ~ (all_0_100_100 = e23)
% 14.85/4.04 | (270) op2(e22, e21) = e22
% 14.85/4.04 | (271) ~ (e11 = e10)
% 14.85/4.04 | (272) op1(e12, e11) = e12
% 14.85/4.04 | (273) ~ (all_0_117_117 = all_0_118_118)
% 14.85/4.04 | (274) op2(all_0_95_95, all_0_95_95) = all_0_54_54
% 14.85/4.04 | (275) op2(e21, all_0_96_96) = all_0_49_49
% 14.85/4.04 | (276) ~ (all_0_112_112 = e13)
% 14.85/4.04 | (277) ~ (all_0_113_113 = e12)
% 14.85/4.04 | (278) ~ (all_0_111_111 = all_0_113_113)
% 14.85/4.04 | (279) ~ (all_0_110_110 = e21)
% 14.85/4.04 | (280) h4(e11) = all_0_93_93
% 14.85/4.04 | (281) ~ (all_0_113_113 = all_0_121_121)
% 14.85/4.04 | (282) op2(all_0_98_98, all_0_98_98) = all_0_91_91
% 14.85/4.04 | (283) ~ (all_0_109_109 = all_0_110_110)
% 14.85/4.04 | (284) op2(all_0_97_97, e20) = all_0_79_79
% 14.85/4.04 | (285) h1(all_0_120_120) = all_0_88_88
% 14.85/4.04 | (286) ~ (e23 = e11)
% 14.85/4.04 | (287) ~ (all_0_111_111 = all_0_114_114)
% 14.85/4.04 | (288) all_0_112_112 = e11 | all_0_116_116 = e11 | all_0_120_120 = e11
% 14.85/4.04 | (289) ~ (all_0_99_99 = all_0_100_100)
% 14.85/4.04 | (290) ~ (e12 = e11)
% 14.85/4.04 | (291) all_0_103_103 = e23 | all_0_105_105 = e23 | all_0_106_106 = e23
% 14.85/4.04 | (292) ~ (e21 = e12)
% 14.85/4.04 | (293) all_0_100_100 = e20 | all_0_104_104 = e20 | all_0_108_108 = e20
% 14.85/4.04 | (294) op1(e11, e11) = all_0_117_117
% 14.85/4.04 | (295) all_0_105_105 = e23 | all_0_105_105 = e21 | all_0_105_105 = e20
% 14.85/4.04 | (296) all_0_120_120 = e10 | all_0_121_121 = e10 | all_0_122_122 = e10
% 14.85/4.04 | (297) all_0_115_115 = e13 | all_0_117_117 = e13 | all_0_118_118 = e13
% 14.85/4.04 | (298) op1(e12, e10) = e11
% 14.85/4.04 | (299) h4(all_0_113_113) = all_0_5_5
% 14.85/4.04 | (300) ~ (e21 = e20)
% 14.85/4.04 | (301) all_0_113_113 = e13 | all_0_113_113 = e11 | all_0_113_113 = e10
% 14.85/4.04 | (302) all_0_106_106 = e23 | all_0_106_106 = e22 | all_0_106_106 = e20
% 14.85/4.04 | (303) ~ (all_0_100_100 = all_0_108_108)
% 14.85/4.04 | (304) ~ (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_94_94) | ~ (all_0_9_9 = e23) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 14.85/4.04 | (305) all_0_114_114 = e10 | all_0_118_118 = e10 | all_0_122_122 = e10
% 14.85/4.04 | (306) h3(e12) = e22
% 14.85/4.04 | (307) ~ (e21 = e13)
% 14.85/4.04 | (308) all_0_100_100 = e22 | all_0_104_104 = e22 | all_0_108_108 = e22
% 14.85/4.04 | (309) ~ (all_0_99_99 = all_0_107_107)
% 14.85/4.04 | (310) ~ (all_0_112_112 = all_0_116_116)
% 14.85/4.04 | (311) op2(all_0_96_96, all_0_95_95) = all_0_62_62
% 14.85/4.04 | (312) h2(all_0_114_114) = all_0_46_46
% 14.85/4.04 | (313) h4(all_0_115_115) = all_0_12_12
% 14.85/4.04 | (314) all_0_108_108 = e22 | all_0_108_108 = e21 | all_0_108_108 = e20
% 14.85/4.04 | (315) all_0_99_99 = e22 | all_0_100_100 = e22 | all_0_102_102 = e22
% 14.85/4.04 | (316) ~ (all_0_121_121 = e12)
% 14.85/4.04 | (317) all_0_103_103 = e21 | all_0_104_104 = e21 | all_0_105_105 = e21
% 14.85/4.04 | (318) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 14.85/4.04 | (319) all_0_114_114 = e12 | all_0_118_118 = e12 | all_0_122_122 = e12
% 14.85/4.04 | (320) all_0_113_113 = e13 | all_0_117_117 = e13 | all_0_121_121 = e13
% 14.85/4.04 | (321) h1(e13) = all_0_110_110
% 14.85/4.04 | (322) h1(all_0_115_115) = all_0_78_78
% 14.85/4.04 | (323) ~ (e13 = e11)
% 14.85/4.04 | (324) h1(all_0_113_113) = all_0_71_71
% 14.85/4.04 | (325) op2(all_0_97_97, all_0_97_97) = all_0_81_81
% 14.85/4.04 | (326) ~ (all_0_106_106 = all_0_110_110)
% 14.85/4.04 | (327) all_0_118_118 = e13 | all_0_118_118 = e12 | all_0_118_118 = e10
% 14.85/4.04 | (328) h1(all_0_112_112) = all_0_69_69
% 14.85/4.04 | (329) ~ (all_0_119_119 = e10)
% 14.85/4.04 | (330) h2(e10) = all_0_96_96
% 14.85/4.04 | (331) h4(all_0_122_122) = all_0_26_26
% 14.85/4.04 | (332) ~ (all_0_104_104 = all_0_106_106)
% 14.85/4.04 | (333) ~ (all_0_111_111 = e10)
% 14.85/4.04 | (334) ~ (all_0_108_108 = e23)
% 14.85/4.04 | (335) op1(e12, e12) = e13
% 14.85/4.04 | (336) ~ (all_0_122_122 = e11)
% 14.85/4.04 | (337) ~ (all_0_119_119 = all_0_120_120)
% 14.85/4.04 | (338) op2(all_0_94_94, all_0_94_94) = all_0_25_25
% 14.85/4.04 | (339) op2(e21, e22) = all_0_104_104
% 14.85/4.04 | (340) ~ (all_0_115_115 = all_0_117_117)
% 14.85/4.04 | (341) all_0_103_103 = e22 | all_0_104_104 = e22 | all_0_106_106 = e22
% 14.85/4.04 | (342) op1(e11, e12) = all_0_116_116
% 14.85/4.04 | (343) ~ (all_0_114_114 = all_0_122_122)
% 14.85/4.04 | (344) ~ (e22 = e10)
% 14.85/4.04 | (345) op2(all_0_110_110, all_0_110_110) = all_0_66_66
% 14.85/4.04 | (346) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 14.85/4.04 |
% 14.85/4.04 | Instantiating formula (30) with e23, all_0_94_94, all_0_93_93, all_0_10_10 and discharging atoms op2(e23, all_0_94_94) = all_0_10_10, op2(e23, all_0_94_94) = all_0_93_93, yields:
% 14.85/4.05 | (347) all_0_10_10 = all_0_93_93
% 14.85/4.05 |
% 14.85/4.05 | Instantiating formula (30) with e23, all_0_99_99, all_0_94_94, all_0_8_8 and discharging atoms op2(e23, all_0_99_99) = all_0_8_8, op2(e23, all_0_99_99) = all_0_94_94, yields:
% 14.85/4.05 | (348) all_0_8_8 = all_0_94_94
% 14.85/4.05 |
% 14.85/4.05 | Instantiating formula (30) with e21, all_0_96_96, all_0_95_95, all_0_49_49 and discharging atoms op2(e21, all_0_96_96) = all_0_49_49, op2(e21, all_0_96_96) = all_0_95_95, yields:
% 14.85/4.05 | (349) all_0_49_49 = all_0_95_95
% 14.85/4.05 |
% 14.85/4.05 | Instantiating formula (30) with e21, all_0_105_105, all_0_96_96, all_0_47_47 and discharging atoms op2(e21, all_0_105_105) = all_0_47_47, op2(e21, all_0_105_105) = all_0_96_96, yields:
% 14.85/4.05 | (350) all_0_47_47 = all_0_96_96
% 14.85/4.05 |
% 14.85/4.05 | Instantiating formula (30) with e20, all_0_98_98, all_0_97_97, all_0_76_76 and discharging atoms op2(e20, all_0_98_98) = all_0_76_76, op2(e20, all_0_98_98) = all_0_97_97, yields:
% 14.85/4.05 | (351) all_0_76_76 = all_0_97_97
% 14.85/4.05 |
% 14.85/4.05 | Instantiating formula (30) with e20, all_0_110_110, all_0_98_98, all_0_74_74 and discharging atoms op2(e20, all_0_110_110) = all_0_74_74, op2(e20, all_0_110_110) = all_0_98_98, yields:
% 14.85/4.05 | (352) all_0_74_74 = all_0_98_98
% 14.85/4.05 |
% 14.85/4.05 | From (347) and (7) follows:
% 14.85/4.05 | (223) op2(e23, all_0_94_94) = all_0_93_93
% 14.85/4.05 |
% 14.85/4.05 | From (348) and (248) follows:
% 14.85/4.05 | (196) op2(e23, all_0_99_99) = all_0_94_94
% 14.85/4.05 |
% 14.85/4.05 | From (349) and (275) follows:
% 14.85/4.05 | (127) op2(e21, all_0_96_96) = all_0_95_95
% 14.85/4.05 |
% 14.85/4.05 | From (350) and (247) follows:
% 14.85/4.05 | (56) op2(e21, all_0_105_105) = all_0_96_96
% 14.85/4.05 |
% 14.85/4.05 | From (351) and (239) follows:
% 14.85/4.05 | (137) op2(e20, all_0_98_98) = all_0_97_97
% 14.85/4.05 |
% 14.85/4.05 | From (352) and (241) follows:
% 14.85/4.05 | (126) op2(e20, all_0_110_110) = all_0_98_98
% 14.85/4.05 |
% 14.85/4.05 +-Applying beta-rule and splitting (240), into two cases.
% 14.85/4.05 |-Branch one:
% 14.85/4.05 | (359) all_0_105_105 = e21 & ( ~ (all_0_99_99 = e21) | all_0_101_101 = e23)
% 14.85/4.05 |
% 14.85/4.05 | Applying alpha-rule on (359) yields:
% 14.85/4.05 | (360) all_0_105_105 = e21
% 14.85/4.05 | (361) ~ (all_0_99_99 = e21) | all_0_101_101 = e23
% 14.85/4.05 |
% 14.85/4.05 | Equations (360) can reduce 235 to:
% 14.85/4.05 | (362) ~ (all_0_101_101 = e21)
% 14.85/4.05 |
% 14.85/4.05 | Equations (360) can reduce 28 to:
% 14.85/4.05 | (363) ~ (all_0_103_103 = e21)
% 14.85/4.05 |
% 14.85/4.05 | Equations (360) can reduce 244 to:
% 14.85/4.05 | (364) ~ (all_0_104_104 = e21)
% 14.85/4.05 |
% 14.85/4.05 | Equations (360) can reduce 99 to:
% 14.85/4.05 | (365) ~ (all_0_106_106 = e21)
% 14.85/4.05 |
% 14.85/4.05 | Simplifying 365 yields:
% 14.85/4.05 | (66) ~ (all_0_106_106 = e21)
% 14.85/4.05 |
% 14.85/4.05 | Equations (360) can reduce 264 to:
% 15.15/4.05 | (367) ~ (e22 = e21)
% 15.15/4.05 |
% 15.15/4.05 | Simplifying 367 yields:
% 15.15/4.05 | (224) ~ (e22 = e21)
% 15.15/4.05 |
% 15.15/4.05 | From (360)(360) and (89) follows:
% 15.15/4.05 | (369) op2(e21, e21) = all_0_39_39
% 15.15/4.05 |
% 15.15/4.05 | From (360) and (16) follows:
% 15.15/4.05 | (370) op2(e21, e21) = all_0_41_41
% 15.15/4.05 |
% 15.15/4.05 | From (360) and (56) follows:
% 15.15/4.05 | (371) op2(e21, e21) = all_0_96_96
% 15.15/4.05 |
% 15.15/4.05 | From (360) and (206) follows:
% 15.15/4.05 | (372) op2(e21, e21) = e21
% 15.15/4.05 |
% 15.15/4.05 | Instantiating formula (30) with e21, e21, all_0_41_41, all_0_39_39 and discharging atoms op2(e21, e21) = all_0_39_39, op2(e21, e21) = all_0_41_41, yields:
% 15.15/4.05 | (373) all_0_39_39 = all_0_41_41
% 15.15/4.05 |
% 15.15/4.05 | Instantiating formula (30) with e21, e21, all_0_96_96, all_0_41_41 and discharging atoms op2(e21, e21) = all_0_41_41, op2(e21, e21) = all_0_96_96, yields:
% 15.15/4.05 | (374) all_0_41_41 = all_0_96_96
% 15.15/4.05 |
% 15.15/4.05 | Instantiating formula (30) with e21, e21, e21, all_0_39_39 and discharging atoms op2(e21, e21) = all_0_39_39, op2(e21, e21) = e21, yields:
% 15.15/4.05 | (375) all_0_39_39 = e21
% 15.15/4.05 |
% 15.15/4.05 | Combining equations (373,375) yields a new equation:
% 15.15/4.05 | (376) all_0_41_41 = e21
% 15.15/4.05 |
% 15.15/4.05 | Simplifying 376 yields:
% 15.15/4.05 | (377) all_0_41_41 = e21
% 15.15/4.05 |
% 15.15/4.05 | Combining equations (374,377) yields a new equation:
% 15.15/4.05 | (378) all_0_96_96 = e21
% 15.15/4.05 |
% 15.15/4.05 | Simplifying 378 yields:
% 15.15/4.05 | (379) all_0_96_96 = e21
% 15.15/4.05 |
% 15.15/4.05 | From (379) and (155) follows:
% 15.15/4.05 | (380) op2(all_0_95_95, e21) = all_0_56_56
% 15.15/4.05 |
% 15.15/4.05 | From (379) and (311) follows:
% 15.15/4.05 | (381) op2(e21, all_0_95_95) = all_0_62_62
% 15.15/4.05 |
% 15.15/4.05 | From (379)(379) and (23) follows:
% 15.15/4.05 | (382) op2(e21, e21) = all_0_64_64
% 15.15/4.05 |
% 15.15/4.05 | From (379) and (258) follows:
% 15.15/4.05 | (383) op2(e21, e21) = all_0_60_60
% 15.15/4.05 |
% 15.15/4.05 | From (379) and (127) follows:
% 15.15/4.05 | (384) op2(e21, e21) = all_0_95_95
% 15.15/4.05 |
% 15.15/4.05 | From (379) and (371) follows:
% 15.15/4.05 | (372) op2(e21, e21) = e21
% 15.15/4.05 |
% 15.15/4.05 | Instantiating formula (30) with e21, e21, all_0_60_60, e21 and discharging atoms op2(e21, e21) = all_0_60_60, op2(e21, e21) = e21, yields:
% 15.15/4.05 | (386) all_0_60_60 = e21
% 15.15/4.05 |
% 15.15/4.05 | Instantiating formula (30) with e21, e21, all_0_64_64, all_0_60_60 and discharging atoms op2(e21, e21) = all_0_60_60, op2(e21, e21) = all_0_64_64, yields:
% 15.15/4.05 | (387) all_0_60_60 = all_0_64_64
% 15.15/4.05 |
% 15.15/4.05 | Instantiating formula (30) with e21, e21, all_0_95_95, all_0_60_60 and discharging atoms op2(e21, e21) = all_0_60_60, op2(e21, e21) = all_0_95_95, yields:
% 15.15/4.05 | (388) all_0_60_60 = all_0_95_95
% 15.15/4.05 |
% 15.15/4.05 | Combining equations (386,387) yields a new equation:
% 15.15/4.05 | (389) all_0_64_64 = e21
% 15.15/4.05 |
% 15.15/4.05 | Combining equations (388,387) yields a new equation:
% 15.15/4.05 | (390) all_0_64_64 = all_0_95_95
% 15.15/4.05 |
% 15.15/4.05 | Combining equations (389,390) yields a new equation:
% 15.15/4.05 | (391) all_0_95_95 = e21
% 15.15/4.05 |
% 15.15/4.05 | From (391)(391) and (274) follows:
% 15.15/4.05 | (392) op2(e21, e21) = all_0_54_54
% 15.15/4.05 |
% 15.15/4.05 | From (391) and (380) follows:
% 15.15/4.05 | (393) op2(e21, e21) = all_0_56_56
% 15.15/4.05 |
% 15.15/4.05 | From (391) and (381) follows:
% 15.15/4.05 | (394) op2(e21, e21) = all_0_62_62
% 15.15/4.05 |
% 15.15/4.05 | From (391) and (384) follows:
% 15.15/4.05 | (372) op2(e21, e21) = e21
% 15.15/4.05 |
% 15.15/4.05 | Instantiating formula (30) with e21, e21, all_0_54_54, e21 and discharging atoms op2(e21, e21) = all_0_54_54, op2(e21, e21) = e21, yields:
% 15.15/4.05 | (396) all_0_54_54 = e21
% 15.15/4.05 |
% 15.15/4.05 | Instantiating formula (30) with e21, e21, all_0_56_56, all_0_54_54 and discharging atoms op2(e21, e21) = all_0_54_54, op2(e21, e21) = all_0_56_56, yields:
% 15.15/4.05 | (397) all_0_54_54 = all_0_56_56
% 15.15/4.05 |
% 15.15/4.05 | Instantiating formula (30) with e21, e21, all_0_62_62, all_0_56_56 and discharging atoms op2(e21, e21) = all_0_56_56, op2(e21, e21) = all_0_62_62, yields:
% 15.15/4.05 | (398) all_0_56_56 = all_0_62_62
% 15.15/4.05 |
% 15.15/4.05 | Combining equations (397,396) yields a new equation:
% 15.15/4.05 | (399) all_0_56_56 = e21
% 15.15/4.05 |
% 15.15/4.05 | Simplifying 399 yields:
% 15.15/4.05 | (400) all_0_56_56 = e21
% 15.15/4.06 |
% 15.15/4.06 | Combining equations (398,400) yields a new equation:
% 15.15/4.06 | (401) all_0_62_62 = e21
% 15.15/4.06 |
% 15.15/4.06 | Simplifying 401 yields:
% 15.15/4.06 | (402) all_0_62_62 = e21
% 15.15/4.06 |
% 15.15/4.06 | From (402) and (394) follows:
% 15.15/4.06 | (372) op2(e21, e21) = e21
% 15.15/4.06 |
% 15.15/4.06 +-Applying beta-rule and splitting (245), into two cases.
% 15.15/4.06 |-Branch one:
% 15.15/4.06 | (404) all_0_117_117 = e11 & ( ~ (all_0_111_111 = e11) | all_0_113_113 = e13)
% 15.15/4.06 |
% 15.15/4.06 | Applying alpha-rule on (404) yields:
% 15.15/4.06 | (405) all_0_117_117 = e11
% 15.15/4.06 | (406) ~ (all_0_111_111 = e11) | all_0_113_113 = e13
% 15.15/4.06 |
% 15.15/4.06 | Equations (405) can reduce 19 to:
% 15.15/4.06 | (407) ~ (all_0_113_113 = e11)
% 15.15/4.06 |
% 15.15/4.06 | Equations (405) can reduce 340 to:
% 15.15/4.06 | (408) ~ (all_0_115_115 = e11)
% 15.15/4.06 |
% 15.15/4.06 | Equations (405) can reduce 200 to:
% 15.15/4.06 | (409) ~ (all_0_116_116 = e11)
% 15.15/4.06 |
% 15.15/4.06 | Equations (405) can reduce 230 to:
% 15.15/4.06 | (410) ~ (e12 = e11)
% 15.15/4.06 |
% 15.15/4.06 | Simplifying 410 yields:
% 15.15/4.06 | (290) ~ (e12 = e11)
% 15.15/4.06 |
% 15.15/4.06 | From (405) and (268) follows:
% 15.15/4.06 | (412) h3(e11) = all_0_33_33
% 15.15/4.06 |
% 15.15/4.06 | Instantiating formula (318) with e11, all_0_33_33, e21 and discharging atoms h3(e11) = all_0_33_33, h3(e11) = e21, yields:
% 15.15/4.06 | (413) all_0_33_33 = e21
% 15.15/4.06 |
% 15.15/4.06 | From (413) and (412) follows:
% 15.15/4.06 | (54) h3(e11) = e21
% 15.15/4.06 |
% 15.15/4.06 +-Applying beta-rule and splitting (183), into two cases.
% 15.15/4.06 |-Branch one:
% 15.15/4.06 | (415) all_0_100_100 = e21
% 15.15/4.06 |
% 15.15/4.06 | Equations (415) can reduce 289 to:
% 15.15/4.06 | (416) ~ (all_0_99_99 = e21)
% 15.15/4.06 |
% 15.15/4.06 | Equations (415) can reduce 220 to:
% 15.15/4.06 | (417) ~ (all_0_104_104 = e21)
% 15.15/4.06 |
% 15.15/4.06 | Simplifying 417 yields:
% 15.15/4.06 | (364) ~ (all_0_104_104 = e21)
% 15.15/4.06 |
% 15.15/4.06 +-Applying beta-rule and splitting (143), into two cases.
% 15.15/4.06 |-Branch one:
% 15.15/4.06 | (419) all_0_99_99 = e21
% 15.15/4.06 |
% 15.15/4.06 | Equations (419) can reduce 416 to:
% 15.15/4.06 | (420) $false
% 15.19/4.06 |
% 15.19/4.06 |-The branch is then unsatisfiable
% 15.19/4.06 |-Branch two:
% 15.19/4.06 | (416) ~ (all_0_99_99 = e21)
% 15.19/4.06 | (422) all_0_103_103 = e21 | all_0_107_107 = e21
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (51), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (423) all_0_107_107 = e21
% 15.19/4.06 |
% 15.19/4.06 | Equations (423) can reduce 309 to:
% 15.19/4.06 | (416) ~ (all_0_99_99 = e21)
% 15.19/4.06 |
% 15.19/4.06 | Equations (423) can reduce 123 to:
% 15.19/4.06 | (363) ~ (all_0_103_103 = e21)
% 15.19/4.06 |
% 15.19/4.06 | Equations (423) can reduce 3 to:
% 15.19/4.06 | (426) ~ (all_0_109_109 = e21)
% 15.19/4.06 |
% 15.19/4.06 | Simplifying 426 yields:
% 15.19/4.06 | (427) ~ (all_0_109_109 = e21)
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (63), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (428) all_0_103_103 = e21
% 15.19/4.06 |
% 15.19/4.06 | Equations (428) can reduce 363 to:
% 15.19/4.06 | (420) $false
% 15.19/4.06 |
% 15.19/4.06 |-The branch is then unsatisfiable
% 15.19/4.06 |-Branch two:
% 15.19/4.06 | (363) ~ (all_0_103_103 = e21)
% 15.19/4.06 | (431) all_0_103_103 = e23 | all_0_103_103 = e22
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (22), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (432) all_0_104_104 = e21
% 15.19/4.06 |
% 15.19/4.06 | Equations (432) can reduce 364 to:
% 15.19/4.06 | (420) $false
% 15.19/4.06 |
% 15.19/4.06 |-The branch is then unsatisfiable
% 15.19/4.06 |-Branch two:
% 15.19/4.06 | (364) ~ (all_0_104_104 = e21)
% 15.19/4.06 | (435) all_0_104_104 = e22 | all_0_104_104 = e20
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (188), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (419) all_0_99_99 = e21
% 15.19/4.06 |
% 15.19/4.06 | Equations (419) can reduce 416 to:
% 15.19/4.06 | (420) $false
% 15.19/4.06 |
% 15.19/4.06 |-The branch is then unsatisfiable
% 15.19/4.06 |-Branch two:
% 15.19/4.06 | (416) ~ (all_0_99_99 = e21)
% 15.19/4.06 | (439) all_0_99_99 = e23 | all_0_99_99 = e22
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (160), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (440) all_0_109_109 = e21
% 15.19/4.06 |
% 15.19/4.06 | Equations (440) can reduce 427 to:
% 15.19/4.06 | (420) $false
% 15.19/4.06 |
% 15.19/4.06 |-The branch is then unsatisfiable
% 15.19/4.06 |-Branch two:
% 15.19/4.06 | (427) ~ (all_0_109_109 = e21)
% 15.19/4.06 | (443) all_0_109_109 = e23 | all_0_109_109 = e20
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (238), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (444) all_0_104_104 = e20
% 15.19/4.06 |
% 15.19/4.06 | Equations (444) can reduce 90 to:
% 15.19/4.06 | (445) ~ (all_0_108_108 = e20)
% 15.19/4.06 |
% 15.19/4.06 | Simplifying 445 yields:
% 15.19/4.06 | (446) ~ (all_0_108_108 = e20)
% 15.19/4.06 |
% 15.19/4.06 | Equations (444) can reduce 42 to:
% 15.19/4.06 | (447) ~ (e23 = e20)
% 15.19/4.06 |
% 15.19/4.06 | Simplifying 447 yields:
% 15.19/4.06 | (243) ~ (e23 = e20)
% 15.19/4.06 |
% 15.19/4.06 | Equations (444) can reduce 364 to:
% 15.19/4.06 | (449) ~ (e21 = e20)
% 15.19/4.06 |
% 15.19/4.06 | Simplifying 449 yields:
% 15.19/4.06 | (300) ~ (e21 = e20)
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (308), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (451) all_0_100_100 = e22
% 15.19/4.06 |
% 15.19/4.06 | Combining equations (415,451) yields a new equation:
% 15.19/4.06 | (452) e22 = e21
% 15.19/4.06 |
% 15.19/4.06 | Equations (452) can reduce 224 to:
% 15.19/4.06 | (420) $false
% 15.19/4.06 |
% 15.19/4.06 |-The branch is then unsatisfiable
% 15.19/4.06 |-Branch two:
% 15.19/4.06 | (454) ~ (all_0_100_100 = e22)
% 15.19/4.06 | (455) all_0_104_104 = e22 | all_0_108_108 = e22
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (455), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (456) all_0_104_104 = e22
% 15.19/4.06 |
% 15.19/4.06 | Combining equations (444,456) yields a new equation:
% 15.19/4.06 | (457) e22 = e20
% 15.19/4.06 |
% 15.19/4.06 | Equations (457) can reduce 122 to:
% 15.19/4.06 | (420) $false
% 15.19/4.06 |
% 15.19/4.06 |-The branch is then unsatisfiable
% 15.19/4.06 |-Branch two:
% 15.19/4.06 | (459) ~ (all_0_104_104 = e22)
% 15.19/4.06 | (460) all_0_108_108 = e22
% 15.19/4.06 |
% 15.19/4.06 | Equations (460) can reduce 446 to:
% 15.19/4.06 | (122) ~ (e22 = e20)
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (45), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (462) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22)) | (all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)))
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (462), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (463) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22))
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (463), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (464) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (464), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (465) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23))
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (465), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (466) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20))
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (466), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (467) all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)
% 15.19/4.06 |
% 15.19/4.06 | Applying alpha-rule on (467) yields:
% 15.19/4.06 | (468) all_0_101_101 = e23
% 15.19/4.06 | (416) ~ (all_0_99_99 = e21)
% 15.19/4.06 | (470) ~ (all_0_105_105 = e21)
% 15.19/4.06 |
% 15.19/4.06 | Equations (360) can reduce 470 to:
% 15.19/4.06 | (420) $false
% 15.19/4.06 |
% 15.19/4.06 |-The branch is then unsatisfiable
% 15.19/4.06 |-Branch two:
% 15.19/4.06 | (472) all_0_102_102 = e23 & ~ (all_0_110_110 = e20)
% 15.19/4.06 |
% 15.19/4.06 | Applying alpha-rule on (472) yields:
% 15.19/4.06 | (473) all_0_102_102 = e23
% 15.19/4.06 | (474) ~ (all_0_110_110 = e20)
% 15.19/4.06 |
% 15.19/4.06 +-Applying beta-rule and splitting (182), into two cases.
% 15.19/4.06 |-Branch one:
% 15.19/4.06 | (475) all_0_102_102 = e20
% 15.19/4.06 |
% 15.19/4.06 | Combining equations (475,473) yields a new equation:
% 15.19/4.06 | (476) e23 = e20
% 15.19/4.06 |
% 15.19/4.06 | Equations (476) can reduce 243 to:
% 15.19/4.06 | (420) $false
% 15.19/4.06 |
% 15.19/4.06 |-The branch is then unsatisfiable
% 15.19/4.06 |-Branch two:
% 15.19/4.06 | (478) ~ (all_0_102_102 = e20)
% 15.19/4.06 | (479) all_0_106_106 = e20 | all_0_110_110 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (473) can reduce 478 to:
% 15.19/4.07 | (243) ~ (e23 = e20)
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (191), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (481) all_0_108_108 = e20
% 15.19/4.07 |
% 15.19/4.07 | Combining equations (460,481) yields a new equation:
% 15.19/4.07 | (482) e22 = e20
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 482 yields:
% 15.19/4.07 | (457) e22 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (457) can reduce 122 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (446) ~ (all_0_108_108 = e20)
% 15.19/4.07 | (486) all_0_109_109 = e20 | all_0_110_110 = e20
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (165), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (487) all_0_100_100 = e20
% 15.19/4.07 |
% 15.19/4.07 | Combining equations (415,487) yields a new equation:
% 15.19/4.07 | (488) e21 = e20
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 488 yields:
% 15.19/4.07 | (489) e21 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (489) can reduce 300 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (491) ~ (all_0_100_100 = e20)
% 15.19/4.07 | (492) all_0_101_101 = e20 | all_0_102_102 = e20
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (486), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (493) all_0_109_109 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (493) can reduce 112 to:
% 15.19/4.07 | (494) ~ (all_0_101_101 = e20)
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (492), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (495) all_0_101_101 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (495) can reduce 494 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (494) ~ (all_0_101_101 = e20)
% 15.19/4.07 | (475) all_0_102_102 = e20
% 15.19/4.07 |
% 15.19/4.07 | Combining equations (473,475) yields a new equation:
% 15.19/4.07 | (499) e23 = e20
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 499 yields:
% 15.19/4.07 | (476) e23 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (476) can reduce 243 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (502) ~ (all_0_109_109 = e20)
% 15.19/4.07 | (503) all_0_110_110 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (503) can reduce 474 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (505) all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)
% 15.19/4.07 |
% 15.19/4.07 | Applying alpha-rule on (505) yields:
% 15.19/4.07 | (428) all_0_103_103 = e21
% 15.19/4.07 | (507) ~ (all_0_99_99 = e23)
% 15.19/4.07 | (508) ~ (all_0_105_105 = e23)
% 15.19/4.07 |
% 15.19/4.07 | Equations (428) can reduce 363 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (510) all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 15.19/4.07 |
% 15.19/4.07 | Applying alpha-rule on (510) yields:
% 15.19/4.07 | (432) all_0_104_104 = e21
% 15.19/4.07 | (512) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 15.19/4.07 |
% 15.19/4.07 | Combining equations (444,432) yields a new equation:
% 15.19/4.07 | (489) e21 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (489) can reduce 300 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (515) all_0_108_108 = e20 & ~ (all_0_110_110 = e22)
% 15.19/4.07 |
% 15.19/4.07 | Applying alpha-rule on (515) yields:
% 15.19/4.07 | (481) all_0_108_108 = e20
% 15.19/4.07 | (517) ~ (all_0_110_110 = e22)
% 15.19/4.07 |
% 15.19/4.07 | Combining equations (460,481) yields a new equation:
% 15.19/4.07 | (482) e22 = e20
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 482 yields:
% 15.19/4.07 | (457) e22 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (457) can reduce 122 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (521) all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 15.19/4.07 |
% 15.19/4.07 | Applying alpha-rule on (521) yields:
% 15.19/4.07 | (493) all_0_109_109 = e20
% 15.19/4.07 | (470) ~ (all_0_105_105 = e21)
% 15.19/4.07 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 15.19/4.07 |
% 15.19/4.07 | Equations (360) can reduce 470 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (526) ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 15.19/4.07 |
% 15.19/4.07 | Applying alpha-rule on (526) yields:
% 15.19/4.07 | (470) ~ (all_0_105_105 = e21)
% 15.19/4.07 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 15.19/4.07 |
% 15.19/4.07 | Equations (360) can reduce 470 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (530) ~ (all_0_104_104 = e20)
% 15.19/4.07 | (531) all_0_105_105 = e20 | all_0_106_106 = e20
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (435), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (444) all_0_104_104 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (444) can reduce 530 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (530) ~ (all_0_104_104 = e20)
% 15.19/4.07 | (456) all_0_104_104 = e22
% 15.19/4.07 |
% 15.19/4.07 | Equations (456) can reduce 102 to:
% 15.19/4.07 | (536) ~ (all_0_103_103 = e22)
% 15.19/4.07 |
% 15.19/4.07 | Equations (456) can reduce 332 to:
% 15.19/4.07 | (537) ~ (all_0_106_106 = e22)
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 537 yields:
% 15.19/4.07 | (538) ~ (all_0_106_106 = e22)
% 15.19/4.07 |
% 15.19/4.07 | Equations (456) can reduce 90 to:
% 15.19/4.07 | (539) ~ (all_0_108_108 = e22)
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 539 yields:
% 15.19/4.07 | (540) ~ (all_0_108_108 = e22)
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (431), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (541) all_0_103_103 = e23
% 15.19/4.07 |
% 15.19/4.07 | Equations (541) can reduce 226 to:
% 15.19/4.07 | (507) ~ (all_0_99_99 = e23)
% 15.19/4.07 |
% 15.19/4.07 | Equations (541) can reduce 118 to:
% 15.19/4.07 | (543) ~ (all_0_106_106 = e23)
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 543 yields:
% 15.19/4.07 | (544) ~ (all_0_106_106 = e23)
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (302), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (545) all_0_106_106 = e23
% 15.19/4.07 |
% 15.19/4.07 | Equations (545) can reduce 544 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (544) ~ (all_0_106_106 = e23)
% 15.19/4.07 | (548) all_0_106_106 = e22 | all_0_106_106 = e20
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (439), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (549) all_0_99_99 = e23
% 15.19/4.07 |
% 15.19/4.07 | Equations (549) can reduce 507 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (507) ~ (all_0_99_99 = e23)
% 15.19/4.07 | (552) all_0_99_99 = e22
% 15.19/4.07 |
% 15.19/4.07 | Equations (552) can reduce 221 to:
% 15.19/4.07 | (553) ~ (all_0_102_102 = e22)
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 553 yields:
% 15.19/4.07 | (554) ~ (all_0_102_102 = e22)
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (548), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (555) all_0_106_106 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (555) can reduce 222 to:
% 15.19/4.07 | (478) ~ (all_0_102_102 = e20)
% 15.19/4.07 |
% 15.19/4.07 | Equations (555) can reduce 326 to:
% 15.19/4.07 | (557) ~ (all_0_110_110 = e20)
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 557 yields:
% 15.19/4.07 | (474) ~ (all_0_110_110 = e20)
% 15.19/4.07 |
% 15.19/4.07 | Equations (555) can reduce 66 to:
% 15.19/4.07 | (449) ~ (e21 = e20)
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 449 yields:
% 15.19/4.07 | (300) ~ (e21 = e20)
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (165), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (487) all_0_100_100 = e20
% 15.19/4.07 |
% 15.19/4.07 | Combining equations (415,487) yields a new equation:
% 15.19/4.07 | (488) e21 = e20
% 15.19/4.07 |
% 15.19/4.07 | Simplifying 488 yields:
% 15.19/4.07 | (489) e21 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (489) can reduce 300 to:
% 15.19/4.07 | (420) $false
% 15.19/4.07 |
% 15.19/4.07 |-The branch is then unsatisfiable
% 15.19/4.07 |-Branch two:
% 15.19/4.07 | (491) ~ (all_0_100_100 = e20)
% 15.19/4.07 | (492) all_0_101_101 = e20 | all_0_102_102 = e20
% 15.19/4.07 |
% 15.19/4.07 +-Applying beta-rule and splitting (492), into two cases.
% 15.19/4.07 |-Branch one:
% 15.19/4.07 | (495) all_0_101_101 = e20
% 15.19/4.07 |
% 15.19/4.07 | Equations (495) can reduce 112 to:
% 15.19/4.07 | (568) ~ (all_0_109_109 = e20)
% 15.19/4.08 |
% 15.19/4.08 | Simplifying 568 yields:
% 15.19/4.08 | (502) ~ (all_0_109_109 = e20)
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (191), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (481) all_0_108_108 = e20
% 15.19/4.08 |
% 15.19/4.08 | Equations (481) can reduce 124 to:
% 15.19/4.08 | (568) ~ (all_0_109_109 = e20)
% 15.19/4.08 |
% 15.19/4.08 | Simplifying 568 yields:
% 15.19/4.08 | (502) ~ (all_0_109_109 = e20)
% 15.19/4.08 |
% 15.19/4.08 | Equations (481) can reduce 540 to:
% 15.19/4.08 | (573) ~ (e22 = e20)
% 15.19/4.08 |
% 15.19/4.08 | Simplifying 573 yields:
% 15.19/4.08 | (122) ~ (e22 = e20)
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (140), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (575) all_0_102_102 = e22
% 15.19/4.08 |
% 15.19/4.08 | Equations (575) can reduce 554 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (554) ~ (all_0_102_102 = e22)
% 15.19/4.08 | (578) all_0_106_106 = e22 | all_0_110_110 = e22
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (578), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (579) all_0_106_106 = e22
% 15.19/4.08 |
% 15.19/4.08 | Combining equations (555,579) yields a new equation:
% 15.19/4.08 | (457) e22 = e20
% 15.19/4.08 |
% 15.19/4.08 | Equations (457) can reduce 122 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (538) ~ (all_0_106_106 = e22)
% 15.19/4.08 | (583) all_0_110_110 = e22
% 15.19/4.08 |
% 15.19/4.08 | Equations (583) can reduce 283 to:
% 15.19/4.08 | (154) ~ (all_0_109_109 = e22)
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (101), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (473) all_0_102_102 = e23
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (443), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (586) all_0_109_109 = e23
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (110), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (587) all_0_111_111 = e11
% 15.19/4.08 |
% 15.19/4.08 | Equations (587) can reduce 95 to:
% 15.19/4.08 | (588) ~ (all_0_112_112 = e11)
% 15.19/4.08 |
% 15.19/4.08 | Simplifying 588 yields:
% 15.19/4.08 | (589) ~ (all_0_112_112 = e11)
% 15.19/4.08 |
% 15.19/4.08 | Equations (587) can reduce 218 to:
% 15.19/4.08 | (590) ~ (all_0_115_115 = e11)
% 15.19/4.08 |
% 15.19/4.08 | Simplifying 590 yields:
% 15.19/4.08 | (408) ~ (all_0_115_115 = e11)
% 15.19/4.08 |
% 15.19/4.08 | Equations (587) can reduce 333 to:
% 15.19/4.08 | (271) ~ (e11 = e10)
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (288), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (593) all_0_112_112 = e11
% 15.19/4.08 |
% 15.19/4.08 | Equations (593) can reduce 589 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (589) ~ (all_0_112_112 = e11)
% 15.19/4.08 | (596) all_0_116_116 = e11 | all_0_120_120 = e11
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (596), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (597) all_0_116_116 = e11
% 15.19/4.08 |
% 15.19/4.08 | Equations (597) can reduce 409 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (409) ~ (all_0_116_116 = e11)
% 15.19/4.08 | (600) all_0_120_120 = e11
% 15.19/4.08 |
% 15.19/4.08 | Equations (600) can reduce 158 to:
% 15.19/4.08 | (409) ~ (all_0_116_116 = e11)
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (14), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (602), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (603), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (604), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (605), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (606), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 15.19/4.08 |
% 15.19/4.08 | Applying alpha-rule on (607) yields:
% 15.19/4.08 | (608) all_0_113_113 = e13
% 15.19/4.08 | (609) ~ (all_0_111_111 = e11)
% 15.19/4.08 | (610) ~ (all_0_117_117 = e11)
% 15.19/4.08 |
% 15.19/4.08 | Equations (405) can reduce 610 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 15.19/4.08 |
% 15.19/4.08 | Applying alpha-rule on (612) yields:
% 15.19/4.08 | (613) all_0_114_114 = e13
% 15.19/4.08 | (614) ~ (all_0_122_122 = e10)
% 15.19/4.08 |
% 15.19/4.08 | Equations (613) can reduce 169 to:
% 15.19/4.08 | (615) ~ (all_0_113_113 = e13)
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (320), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (608) all_0_113_113 = e13
% 15.19/4.08 |
% 15.19/4.08 | Equations (608) can reduce 615 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (615) ~ (all_0_113_113 = e13)
% 15.19/4.08 | (619) all_0_117_117 = e13 | all_0_121_121 = e13
% 15.19/4.08 |
% 15.19/4.08 +-Applying beta-rule and splitting (406), into two cases.
% 15.19/4.08 |-Branch one:
% 15.19/4.08 | (609) ~ (all_0_111_111 = e11)
% 15.19/4.08 |
% 15.19/4.08 | Equations (587) can reduce 609 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (587) all_0_111_111 = e11
% 15.19/4.08 | (608) all_0_113_113 = e13
% 15.19/4.08 |
% 15.19/4.08 | Equations (608) can reduce 615 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 15.19/4.08 |
% 15.19/4.08 | Applying alpha-rule on (625) yields:
% 15.19/4.08 | (626) all_0_115_115 = e11
% 15.19/4.08 | (627) ~ (all_0_111_111 = e13)
% 15.19/4.08 | (628) ~ (all_0_117_117 = e13)
% 15.19/4.08 |
% 15.19/4.08 | Equations (626) can reduce 408 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 15.19/4.08 |
% 15.19/4.08 | Applying alpha-rule on (630) yields:
% 15.19/4.08 | (597) all_0_116_116 = e11
% 15.19/4.08 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 15.19/4.08 |
% 15.19/4.08 | Equations (597) can reduce 409 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 15.19/4.08 |
% 15.19/4.08 | Applying alpha-rule on (634) yields:
% 15.19/4.08 | (635) all_0_120_120 = e10
% 15.19/4.08 | (636) ~ (all_0_122_122 = e12)
% 15.19/4.08 |
% 15.19/4.08 | Combining equations (635,600) yields a new equation:
% 15.19/4.08 | (637) e11 = e10
% 15.19/4.08 |
% 15.19/4.08 | Equations (637) can reduce 271 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.19/4.08 |
% 15.19/4.08 | Applying alpha-rule on (639) yields:
% 15.19/4.08 | (640) all_0_121_121 = e10
% 15.19/4.08 | (610) ~ (all_0_117_117 = e11)
% 15.19/4.08 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.19/4.08 |
% 15.19/4.08 | Equations (405) can reduce 610 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.08 |-Branch two:
% 15.19/4.08 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.19/4.08 |
% 15.19/4.08 | Applying alpha-rule on (644) yields:
% 15.19/4.08 | (610) ~ (all_0_117_117 = e11)
% 15.19/4.08 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.19/4.08 |
% 15.19/4.08 | Equations (405) can reduce 610 to:
% 15.19/4.08 | (420) $false
% 15.19/4.08 |
% 15.19/4.08 |-The branch is then unsatisfiable
% 15.19/4.09 |-Branch two:
% 15.19/4.09 | (609) ~ (all_0_111_111 = e11)
% 15.19/4.09 | (649) all_0_115_115 = e11 | all_0_119_119 = e11
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (48), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (587) all_0_111_111 = e11
% 15.19/4.09 |
% 15.19/4.09 | Equations (587) can reduce 609 to:
% 15.19/4.09 | (420) $false
% 15.19/4.09 |
% 15.19/4.09 |-The branch is then unsatisfiable
% 15.19/4.09 |-Branch two:
% 15.19/4.09 | (609) ~ (all_0_111_111 = e11)
% 15.19/4.09 | (653) all_0_112_112 = e11 | all_0_113_113 = e11
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (649), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (626) all_0_115_115 = e11
% 15.19/4.09 |
% 15.19/4.09 | Equations (626) can reduce 408 to:
% 15.19/4.09 | (420) $false
% 15.19/4.09 |
% 15.19/4.09 |-The branch is then unsatisfiable
% 15.19/4.09 |-Branch two:
% 15.19/4.09 | (408) ~ (all_0_115_115 = e11)
% 15.19/4.09 | (657) all_0_119_119 = e11
% 15.19/4.09 |
% 15.19/4.09 | Equations (657) can reduce 27 to:
% 15.19/4.09 | (408) ~ (all_0_115_115 = e11)
% 15.19/4.09 |
% 15.19/4.09 | Equations (657) can reduce 21 to:
% 15.19/4.09 | (659) ~ (all_0_121_121 = e11)
% 15.19/4.09 |
% 15.19/4.09 | Simplifying 659 yields:
% 15.19/4.09 | (660) ~ (all_0_121_121 = e11)
% 15.19/4.09 |
% 15.19/4.09 | Equations (657) can reduce 329 to:
% 15.19/4.09 | (271) ~ (e11 = e10)
% 15.19/4.09 |
% 15.19/4.09 | From (657) and (162) follows:
% 15.19/4.09 | (662) h3(e11) = all_0_35_35
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (653), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (593) all_0_112_112 = e11
% 15.19/4.09 |
% 15.19/4.09 | Equations (593) can reduce 95 to:
% 15.19/4.09 | (609) ~ (all_0_111_111 = e11)
% 15.19/4.09 |
% 15.19/4.09 | Equations (593) can reduce 207 to:
% 15.19/4.09 | (665) ~ (all_0_113_113 = e11)
% 15.19/4.09 |
% 15.19/4.09 | Simplifying 665 yields:
% 15.19/4.09 | (407) ~ (all_0_113_113 = e11)
% 15.19/4.09 |
% 15.19/4.09 | Equations (593) can reduce 310 to:
% 15.19/4.09 | (667) ~ (all_0_116_116 = e11)
% 15.19/4.09 |
% 15.19/4.09 | Simplifying 667 yields:
% 15.19/4.09 | (409) ~ (all_0_116_116 = e11)
% 15.19/4.09 |
% 15.19/4.09 | Equations (593) can reduce 41 to:
% 15.19/4.09 | (669) ~ (all_0_120_120 = e11)
% 15.19/4.09 |
% 15.19/4.09 | Simplifying 669 yields:
% 15.19/4.09 | (670) ~ (all_0_120_120 = e11)
% 15.19/4.09 |
% 15.19/4.09 | From (593) and (265) follows:
% 15.19/4.09 | (671) h3(e11) = all_0_28_28
% 15.19/4.09 |
% 15.19/4.09 | Instantiating formula (318) with e11, all_0_28_28, e21 and discharging atoms h3(e11) = all_0_28_28, h3(e11) = e21, yields:
% 15.19/4.09 | (672) all_0_28_28 = e21
% 15.19/4.09 |
% 15.19/4.09 | Instantiating formula (318) with e11, all_0_35_35, all_0_28_28 and discharging atoms h3(e11) = all_0_28_28, h3(e11) = all_0_35_35, yields:
% 15.19/4.09 | (673) all_0_28_28 = all_0_35_35
% 15.19/4.09 |
% 15.19/4.09 | Combining equations (672,673) yields a new equation:
% 15.19/4.09 | (674) all_0_35_35 = e21
% 15.19/4.09 |
% 15.19/4.09 | Combining equations (674,673) yields a new equation:
% 15.19/4.09 | (672) all_0_28_28 = e21
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (217), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (597) all_0_116_116 = e11
% 15.19/4.09 |
% 15.19/4.09 | Equations (597) can reduce 409 to:
% 15.19/4.09 | (420) $false
% 15.19/4.09 |
% 15.19/4.09 |-The branch is then unsatisfiable
% 15.19/4.09 |-Branch two:
% 15.19/4.09 | (409) ~ (all_0_116_116 = e11)
% 15.19/4.09 | (679) all_0_116_116 = e12 | all_0_116_116 = e10
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (94), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (680) all_0_121_121 = e11
% 15.19/4.09 |
% 15.19/4.09 | Equations (680) can reduce 660 to:
% 15.19/4.09 | (420) $false
% 15.19/4.09 |
% 15.19/4.09 |-The branch is then unsatisfiable
% 15.19/4.09 |-Branch two:
% 15.19/4.09 | (660) ~ (all_0_121_121 = e11)
% 15.19/4.09 | (683) all_0_121_121 = e13 | all_0_121_121 = e10
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (119), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (600) all_0_120_120 = e11
% 15.19/4.09 |
% 15.19/4.09 | Equations (600) can reduce 670 to:
% 15.19/4.09 | (420) $false
% 15.19/4.09 |
% 15.19/4.09 |-The branch is then unsatisfiable
% 15.19/4.09 |-Branch two:
% 15.19/4.09 | (670) ~ (all_0_120_120 = e11)
% 15.19/4.09 | (687) all_0_120_120 = e12 | all_0_120_120 = e10
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (187), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (587) all_0_111_111 = e11
% 15.19/4.09 |
% 15.19/4.09 | Equations (587) can reduce 609 to:
% 15.19/4.09 | (420) $false
% 15.19/4.09 |
% 15.19/4.09 |-The branch is then unsatisfiable
% 15.19/4.09 |-Branch two:
% 15.19/4.09 | (609) ~ (all_0_111_111 = e11)
% 15.19/4.09 | (691) all_0_111_111 = e13 | all_0_111_111 = e12
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (301), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (692) all_0_113_113 = e11
% 15.19/4.09 |
% 15.19/4.09 | Equations (692) can reduce 407 to:
% 15.19/4.09 | (420) $false
% 15.19/4.09 |
% 15.19/4.09 |-The branch is then unsatisfiable
% 15.19/4.09 |-Branch two:
% 15.19/4.09 | (407) ~ (all_0_113_113 = e11)
% 15.19/4.09 | (695) all_0_113_113 = e13 | all_0_113_113 = e10
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (46), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (626) all_0_115_115 = e11
% 15.19/4.09 |
% 15.19/4.09 | Equations (626) can reduce 408 to:
% 15.19/4.09 | (420) $false
% 15.19/4.09 |
% 15.19/4.09 |-The branch is then unsatisfiable
% 15.19/4.09 |-Branch two:
% 15.19/4.09 | (408) ~ (all_0_115_115 = e11)
% 15.19/4.09 | (699) all_0_115_115 = e13 | all_0_115_115 = e12
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (146), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (700) all_0_111_111 = e12
% 15.19/4.09 |
% 15.19/4.09 | Equations (700) can reduce 218 to:
% 15.19/4.09 | (701) ~ (all_0_115_115 = e12)
% 15.19/4.09 |
% 15.19/4.09 | Simplifying 701 yields:
% 15.19/4.09 | (702) ~ (all_0_115_115 = e12)
% 15.19/4.09 |
% 15.19/4.09 | From (700) and (246) follows:
% 15.19/4.09 | (703) h3(e12) = all_0_27_27
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (699), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (704) all_0_115_115 = e13
% 15.19/4.09 |
% 15.19/4.09 | Equations (704) can reduce 702 to:
% 15.19/4.09 | (261) ~ (e13 = e12)
% 15.19/4.09 |
% 15.19/4.09 | Equations (704) can reduce 408 to:
% 15.19/4.09 | (323) ~ (e13 = e11)
% 15.19/4.09 |
% 15.19/4.09 | From (704) and (170) follows:
% 15.19/4.09 | (707) h3(e13) = all_0_31_31
% 15.19/4.09 |
% 15.19/4.09 | Instantiating formula (318) with e13, all_0_31_31, e23 and discharging atoms h3(e13) = all_0_31_31, h3(e13) = e23, yields:
% 15.19/4.09 | (708) all_0_31_31 = e23
% 15.19/4.09 |
% 15.19/4.09 | Instantiating formula (318) with e12, all_0_27_27, e22 and discharging atoms h3(e12) = all_0_27_27, h3(e12) = e22, yields:
% 15.19/4.09 | (709) all_0_27_27 = e22
% 15.19/4.09 |
% 15.19/4.09 | From (708) and (707) follows:
% 15.19/4.09 | (5) h3(e13) = e23
% 15.19/4.09 |
% 15.19/4.09 | From (709) and (703) follows:
% 15.19/4.09 | (306) h3(e12) = e22
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (252), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (613) all_0_114_114 = e13
% 15.19/4.09 |
% 15.19/4.09 | Equations (613) can reduce 169 to:
% 15.19/4.09 | (615) ~ (all_0_113_113 = e13)
% 15.19/4.09 |
% 15.19/4.09 | From (613) and (135) follows:
% 15.19/4.09 | (714) h3(e13) = all_0_30_30
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (695), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (608) all_0_113_113 = e13
% 15.19/4.09 |
% 15.19/4.09 | Equations (608) can reduce 615 to:
% 15.19/4.09 | (420) $false
% 15.19/4.09 |
% 15.19/4.09 |-The branch is then unsatisfiable
% 15.19/4.09 |-Branch two:
% 15.19/4.09 | (615) ~ (all_0_113_113 = e13)
% 15.19/4.09 | (718) all_0_113_113 = e10
% 15.19/4.09 |
% 15.19/4.09 | Equations (718) can reduce 281 to:
% 15.19/4.09 | (719) ~ (all_0_121_121 = e10)
% 15.19/4.09 |
% 15.19/4.09 | Simplifying 719 yields:
% 15.19/4.09 | (720) ~ (all_0_121_121 = e10)
% 15.19/4.09 |
% 15.19/4.09 | From (718) and (29) follows:
% 15.19/4.09 | (721) h3(e10) = all_0_29_29
% 15.19/4.09 |
% 15.19/4.09 +-Applying beta-rule and splitting (683), into two cases.
% 15.19/4.09 |-Branch one:
% 15.19/4.09 | (722) all_0_121_121 = e13
% 15.19/4.09 |
% 15.19/4.09 | Equations (722) can reduce 163 to:
% 15.19/4.09 | (723) ~ (all_0_122_122 = e13)
% 15.19/4.09 |
% 15.19/4.09 | Simplifying 723 yields:
% 15.19/4.09 | (724) ~ (all_0_122_122 = e13)
% 15.19/4.09 |
% 15.19/4.09 | Equations (722) can reduce 660 to:
% 15.19/4.09 | (323) ~ (e13 = e11)
% 15.19/4.09 |
% 15.19/4.09 | Equations (722) can reduce 720 to:
% 15.19/4.09 | (179) ~ (e13 = e10)
% 15.19/4.09 |
% 15.19/4.09 | From (722) and (213) follows:
% 15.19/4.09 | (727) h3(e13) = all_0_37_37
% 15.19/4.09 |
% 15.19/4.10 | Instantiating formula (318) with e13, all_0_30_30, e23 and discharging atoms h3(e13) = all_0_30_30, h3(e13) = e23, yields:
% 15.19/4.10 | (728) all_0_30_30 = e23
% 15.19/4.10 |
% 15.19/4.10 | Instantiating formula (318) with e13, all_0_37_37, all_0_30_30 and discharging atoms h3(e13) = all_0_30_30, h3(e13) = all_0_37_37, yields:
% 15.19/4.10 | (729) all_0_30_30 = all_0_37_37
% 15.19/4.10 |
% 15.19/4.10 | Instantiating formula (318) with e10, all_0_29_29, e20 and discharging atoms h3(e10) = all_0_29_29, h3(e10) = e20, yields:
% 15.19/4.10 | (730) all_0_29_29 = e20
% 15.19/4.10 |
% 15.19/4.10 | Combining equations (728,729) yields a new equation:
% 15.19/4.10 | (731) all_0_37_37 = e23
% 15.19/4.10 |
% 15.19/4.10 | Combining equations (731,729) yields a new equation:
% 15.19/4.10 | (728) all_0_30_30 = e23
% 15.19/4.10 |
% 15.19/4.10 | From (730) and (721) follows:
% 15.19/4.10 | (167) h3(e10) = e20
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (305), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (734) all_0_114_114 = e10
% 15.19/4.10 |
% 15.19/4.10 | Combining equations (734,613) yields a new equation:
% 15.19/4.10 | (735) e13 = e10
% 15.19/4.10 |
% 15.19/4.10 | Equations (735) can reduce 179 to:
% 15.19/4.10 | (420) $false
% 15.19/4.10 |
% 15.19/4.10 |-The branch is then unsatisfiable
% 15.19/4.10 |-Branch two:
% 15.19/4.10 | (737) ~ (all_0_114_114 = e10)
% 15.19/4.10 | (738) all_0_118_118 = e10 | all_0_122_122 = e10
% 15.19/4.10 |
% 15.19/4.10 | Equations (613) can reduce 737 to:
% 15.19/4.10 | (179) ~ (e13 = e10)
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (296), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (635) all_0_120_120 = e10
% 15.19/4.10 |
% 15.19/4.10 | Equations (635) can reduce 158 to:
% 15.19/4.10 | (741) ~ (all_0_116_116 = e10)
% 15.19/4.10 |
% 15.19/4.10 | Equations (635) can reduce 79 to:
% 15.19/4.10 | (742) ~ (all_0_122_122 = e10)
% 15.19/4.10 |
% 15.19/4.10 | Simplifying 742 yields:
% 15.19/4.10 | (614) ~ (all_0_122_122 = e10)
% 15.19/4.10 |
% 15.19/4.10 | From (635) and (212) follows:
% 15.19/4.10 | (744) h3(e10) = all_0_36_36
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (189), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (745) all_0_116_116 = e10
% 15.19/4.10 |
% 15.19/4.10 | Equations (745) can reduce 741 to:
% 15.19/4.10 | (420) $false
% 15.19/4.10 |
% 15.19/4.10 |-The branch is then unsatisfiable
% 15.19/4.10 |-Branch two:
% 15.19/4.10 | (741) ~ (all_0_116_116 = e10)
% 15.19/4.10 | (748) all_0_117_117 = e10 | all_0_118_118 = e10
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (231), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (749) all_0_122_122 = e13
% 15.19/4.10 |
% 15.19/4.10 | Equations (749) can reduce 724 to:
% 15.19/4.10 | (420) $false
% 15.19/4.10 |
% 15.19/4.10 |-The branch is then unsatisfiable
% 15.19/4.10 |-Branch two:
% 15.19/4.10 | (724) ~ (all_0_122_122 = e13)
% 15.19/4.10 | (752) all_0_122_122 = e12 | all_0_122_122 = e10
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (679), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (745) all_0_116_116 = e10
% 15.19/4.10 |
% 15.19/4.10 | Equations (745) can reduce 741 to:
% 15.19/4.10 | (420) $false
% 15.19/4.10 |
% 15.19/4.10 |-The branch is then unsatisfiable
% 15.19/4.10 |-Branch two:
% 15.19/4.10 | (741) ~ (all_0_116_116 = e10)
% 15.19/4.10 | (756) all_0_116_116 = e12
% 15.19/4.10 |
% 15.19/4.10 | From (756) and (15) follows:
% 15.19/4.10 | (757) h3(e12) = all_0_32_32
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (752), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (758) all_0_122_122 = e10
% 15.19/4.10 |
% 15.19/4.10 | Equations (758) can reduce 614 to:
% 15.19/4.10 | (420) $false
% 15.19/4.10 |
% 15.19/4.10 |-The branch is then unsatisfiable
% 15.19/4.10 |-Branch two:
% 15.19/4.10 | (614) ~ (all_0_122_122 = e10)
% 15.19/4.10 | (761) all_0_122_122 = e12
% 15.19/4.10 |
% 15.19/4.10 | Equations (761) can reduce 614 to:
% 15.19/4.10 | (148) ~ (e12 = e10)
% 15.19/4.10 |
% 15.19/4.10 | From (761) and (12) follows:
% 15.19/4.10 | (763) h3(e12) = all_0_38_38
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (738), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (764) all_0_118_118 = e10
% 15.19/4.10 |
% 15.19/4.10 | From (764) and (32) follows:
% 15.19/4.10 | (765) h3(e10) = all_0_34_34
% 15.19/4.10 |
% 15.19/4.10 | Instantiating formula (318) with e12, all_0_32_32, e22 and discharging atoms h3(e12) = all_0_32_32, h3(e12) = e22, yields:
% 15.19/4.10 | (766) all_0_32_32 = e22
% 15.19/4.10 |
% 15.19/4.10 | Instantiating formula (318) with e12, all_0_38_38, all_0_32_32 and discharging atoms h3(e12) = all_0_32_32, h3(e12) = all_0_38_38, yields:
% 15.19/4.10 | (767) all_0_32_32 = all_0_38_38
% 15.19/4.10 |
% 15.19/4.10 | Instantiating formula (318) with e10, all_0_34_34, e20 and discharging atoms h3(e10) = all_0_34_34, h3(e10) = e20, yields:
% 15.19/4.10 | (768) all_0_34_34 = e20
% 15.19/4.10 |
% 15.19/4.10 | Instantiating formula (318) with e10, all_0_36_36, all_0_34_34 and discharging atoms h3(e10) = all_0_34_34, h3(e10) = all_0_36_36, yields:
% 15.19/4.10 | (769) all_0_34_34 = all_0_36_36
% 15.19/4.10 |
% 15.19/4.10 | Combining equations (767,766) yields a new equation:
% 15.19/4.10 | (770) all_0_38_38 = e22
% 15.19/4.10 |
% 15.19/4.10 | Simplifying 770 yields:
% 15.19/4.10 | (771) all_0_38_38 = e22
% 15.19/4.10 |
% 15.19/4.10 | Combining equations (768,769) yields a new equation:
% 15.19/4.10 | (772) all_0_36_36 = e20
% 15.19/4.10 |
% 15.19/4.10 | Combining equations (772,769) yields a new equation:
% 15.19/4.10 | (768) all_0_34_34 = e20
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (141), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (774) ~ (all_0_27_27 = all_0_99_99)
% 15.19/4.10 |
% 15.19/4.10 | Equations (709,552) can reduce 774 to:
% 15.19/4.10 | (420) $false
% 15.19/4.10 |
% 15.19/4.10 |-The branch is then unsatisfiable
% 15.19/4.10 |-Branch two:
% 15.19/4.10 | (776) all_0_27_27 = all_0_99_99
% 15.19/4.10 | (777) ~ (all_0_28_28 = all_0_100_100) | ~ (all_0_29_29 = all_0_101_101) | ~ (all_0_30_30 = all_0_102_102) | ~ (all_0_31_31 = all_0_103_103) | ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (777), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (778) ~ (all_0_28_28 = all_0_100_100)
% 15.19/4.10 |
% 15.19/4.10 | Equations (672,415) can reduce 778 to:
% 15.19/4.10 | (420) $false
% 15.19/4.10 |
% 15.19/4.10 |-The branch is then unsatisfiable
% 15.19/4.10 |-Branch two:
% 15.19/4.10 | (780) all_0_28_28 = all_0_100_100
% 15.19/4.10 | (781) ~ (all_0_29_29 = all_0_101_101) | ~ (all_0_30_30 = all_0_102_102) | ~ (all_0_31_31 = all_0_103_103) | ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (781), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (782) ~ (all_0_29_29 = all_0_101_101)
% 15.19/4.10 |
% 15.19/4.10 | Equations (730,495) can reduce 782 to:
% 15.19/4.10 | (420) $false
% 15.19/4.10 |
% 15.19/4.10 |-The branch is then unsatisfiable
% 15.19/4.10 |-Branch two:
% 15.19/4.10 | (784) all_0_29_29 = all_0_101_101
% 15.19/4.10 | (785) ~ (all_0_30_30 = all_0_102_102) | ~ (all_0_31_31 = all_0_103_103) | ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (785), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (786) ~ (all_0_30_30 = all_0_102_102)
% 15.19/4.10 |
% 15.19/4.10 | Equations (728,473) can reduce 786 to:
% 15.19/4.10 | (420) $false
% 15.19/4.10 |
% 15.19/4.10 |-The branch is then unsatisfiable
% 15.19/4.10 |-Branch two:
% 15.19/4.10 | (788) all_0_30_30 = all_0_102_102
% 15.19/4.10 | (789) ~ (all_0_31_31 = all_0_103_103) | ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 15.19/4.10 |
% 15.19/4.10 +-Applying beta-rule and splitting (789), into two cases.
% 15.19/4.10 |-Branch one:
% 15.19/4.10 | (790) ~ (all_0_31_31 = all_0_103_103)
% 15.19/4.10 |
% 15.19/4.10 | Equations (708,541) can reduce 790 to:
% 15.19/4.10 | (420) $false
% 15.19/4.10 |
% 15.19/4.10 |-The branch is then unsatisfiable
% 15.19/4.10 |-Branch two:
% 15.19/4.10 | (792) all_0_31_31 = all_0_103_103
% 15.19/4.11 | (793) ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 15.19/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (793), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (794) ~ (all_0_32_32 = all_0_104_104)
% 15.38/4.11 |
% 15.38/4.11 | Equations (766,456) can reduce 794 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (796) all_0_32_32 = all_0_104_104
% 15.38/4.11 | (797) ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (797), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (798) ~ (all_0_33_33 = all_0_105_105)
% 15.38/4.11 |
% 15.38/4.11 | Equations (413,360) can reduce 798 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (800) all_0_33_33 = all_0_105_105
% 15.38/4.11 | (801) ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (801), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (802) ~ (all_0_34_34 = all_0_106_106)
% 15.38/4.11 |
% 15.38/4.11 | Equations (768,555) can reduce 802 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (804) all_0_34_34 = all_0_106_106
% 15.38/4.11 | (805) ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (805), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (806) ~ (all_0_35_35 = all_0_107_107)
% 15.38/4.11 |
% 15.38/4.11 | Equations (674,423) can reduce 806 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (808) all_0_35_35 = all_0_107_107
% 15.38/4.11 | (809) ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (809), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (810) ~ (all_0_36_36 = all_0_108_108)
% 15.38/4.11 |
% 15.38/4.11 | Equations (772,481) can reduce 810 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (812) all_0_36_36 = all_0_108_108
% 15.38/4.11 | (813) ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (813), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (814) ~ (all_0_37_37 = all_0_109_109)
% 15.38/4.11 |
% 15.38/4.11 | Equations (731,586) can reduce 814 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (816) all_0_37_37 = all_0_109_109
% 15.38/4.11 | (817) ~ (all_0_38_38 = all_0_110_110)
% 15.38/4.11 |
% 15.38/4.11 | Equations (771,583) can reduce 817 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (819) ~ (all_0_118_118 = e10)
% 15.38/4.11 | (758) all_0_122_122 = e10
% 15.38/4.11 |
% 15.38/4.11 | Combining equations (758,761) yields a new equation:
% 15.38/4.11 | (821) e12 = e10
% 15.38/4.11 |
% 15.38/4.11 | Equations (821) can reduce 148 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (823) ~ (all_0_120_120 = e10)
% 15.38/4.11 | (824) all_0_121_121 = e10 | all_0_122_122 = e10
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (14), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (602), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (603), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (604), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (605), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (606), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 15.38/4.11 |
% 15.38/4.11 | Applying alpha-rule on (607) yields:
% 15.38/4.11 | (608) all_0_113_113 = e13
% 15.38/4.11 | (609) ~ (all_0_111_111 = e11)
% 15.38/4.11 | (610) ~ (all_0_117_117 = e11)
% 15.38/4.11 |
% 15.38/4.11 | Combining equations (718,608) yields a new equation:
% 15.38/4.11 | (735) e13 = e10
% 15.38/4.11 |
% 15.38/4.11 | Equations (735) can reduce 179 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 15.38/4.11 |
% 15.38/4.11 | Applying alpha-rule on (612) yields:
% 15.38/4.11 | (613) all_0_114_114 = e13
% 15.38/4.11 | (614) ~ (all_0_122_122 = e10)
% 15.38/4.11 |
% 15.38/4.11 +-Applying beta-rule and splitting (824), into two cases.
% 15.38/4.11 |-Branch one:
% 15.38/4.11 | (640) all_0_121_121 = e10
% 15.38/4.11 |
% 15.38/4.11 | Combining equations (722,640) yields a new equation:
% 15.38/4.11 | (840) e13 = e10
% 15.38/4.11 |
% 15.38/4.11 | Simplifying 840 yields:
% 15.38/4.11 | (735) e13 = e10
% 15.38/4.11 |
% 15.38/4.11 | Equations (735) can reduce 179 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (720) ~ (all_0_121_121 = e10)
% 15.38/4.11 | (758) all_0_122_122 = e10
% 15.38/4.11 |
% 15.38/4.11 | Equations (758) can reduce 614 to:
% 15.38/4.11 | (420) $false
% 15.38/4.11 |
% 15.38/4.11 |-The branch is then unsatisfiable
% 15.38/4.11 |-Branch two:
% 15.38/4.11 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 15.38/4.11 |
% 15.38/4.11 | Applying alpha-rule on (625) yields:
% 15.38/4.11 | (626) all_0_115_115 = e11
% 15.38/4.11 | (627) ~ (all_0_111_111 = e13)
% 15.38/4.11 | (628) ~ (all_0_117_117 = e13)
% 15.38/4.11 |
% 15.38/4.12 | Combining equations (626,704) yields a new equation:
% 15.38/4.12 | (850) e13 = e11
% 15.38/4.12 |
% 15.38/4.12 | Equations (850) can reduce 323 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 15.38/4.12 |
% 15.38/4.12 | Applying alpha-rule on (630) yields:
% 15.38/4.12 | (597) all_0_116_116 = e11
% 15.38/4.12 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 15.38/4.12 |
% 15.38/4.12 | Equations (597) can reduce 409 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 15.38/4.12 |
% 15.38/4.12 | Applying alpha-rule on (634) yields:
% 15.38/4.12 | (635) all_0_120_120 = e10
% 15.38/4.12 | (636) ~ (all_0_122_122 = e12)
% 15.38/4.12 |
% 15.38/4.12 | Equations (635) can reduce 823 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.38/4.12 |
% 15.38/4.12 | Applying alpha-rule on (639) yields:
% 15.38/4.12 | (640) all_0_121_121 = e10
% 15.38/4.12 | (610) ~ (all_0_117_117 = e11)
% 15.38/4.12 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.38/4.12 |
% 15.38/4.12 | Combining equations (722,640) yields a new equation:
% 15.38/4.12 | (840) e13 = e10
% 15.38/4.12 |
% 15.38/4.12 | Simplifying 840 yields:
% 15.38/4.12 | (735) e13 = e10
% 15.38/4.12 |
% 15.38/4.12 | Equations (735) can reduce 179 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.38/4.12 |
% 15.38/4.12 | Applying alpha-rule on (644) yields:
% 15.38/4.12 | (610) ~ (all_0_117_117 = e11)
% 15.38/4.12 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.38/4.12 |
% 15.38/4.12 | Equations (405) can reduce 610 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (871) ~ (all_0_121_121 = e13)
% 15.38/4.12 | (640) all_0_121_121 = e10
% 15.38/4.12 |
% 15.38/4.12 | Equations (640) can reduce 720 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (874) ~ (all_0_114_114 = e13)
% 15.38/4.12 | (875) all_0_114_114 = e12 | all_0_114_114 = e10
% 15.38/4.12 |
% 15.38/4.12 +-Applying beta-rule and splitting (57), into two cases.
% 15.38/4.12 |-Branch one:
% 15.38/4.12 | (613) all_0_114_114 = e13
% 15.38/4.12 |
% 15.38/4.12 | Equations (613) can reduce 874 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (874) ~ (all_0_114_114 = e13)
% 15.38/4.12 | (879) all_0_118_118 = e13 | all_0_122_122 = e13
% 15.38/4.12 |
% 15.38/4.12 +-Applying beta-rule and splitting (2), into two cases.
% 15.38/4.12 |-Branch one:
% 15.38/4.12 | (880) all_0_111_111 = e13
% 15.38/4.12 |
% 15.38/4.12 | Combining equations (880,700) yields a new equation:
% 15.38/4.12 | (881) e13 = e12
% 15.38/4.12 |
% 15.38/4.12 | Simplifying 881 yields:
% 15.38/4.12 | (882) e13 = e12
% 15.38/4.12 |
% 15.38/4.12 | Equations (882) can reduce 261 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (627) ~ (all_0_111_111 = e13)
% 15.38/4.12 | (885) all_0_113_113 = e13 | all_0_114_114 = e13
% 15.38/4.12 |
% 15.38/4.12 +-Applying beta-rule and splitting (14), into two cases.
% 15.38/4.12 |-Branch one:
% 15.38/4.12 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 15.38/4.12 |
% 15.38/4.12 +-Applying beta-rule and splitting (602), into two cases.
% 15.38/4.12 |-Branch one:
% 15.38/4.12 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 15.38/4.12 |
% 15.38/4.12 +-Applying beta-rule and splitting (603), into two cases.
% 15.38/4.12 |-Branch one:
% 15.38/4.12 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 15.38/4.12 |
% 15.38/4.12 +-Applying beta-rule and splitting (604), into two cases.
% 15.38/4.12 |-Branch one:
% 15.38/4.12 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 15.38/4.12 |
% 15.38/4.12 +-Applying beta-rule and splitting (605), into two cases.
% 15.38/4.12 |-Branch one:
% 15.38/4.12 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 15.38/4.12 |
% 15.38/4.12 +-Applying beta-rule and splitting (606), into two cases.
% 15.38/4.12 |-Branch one:
% 15.38/4.12 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 15.38/4.12 |
% 15.38/4.12 | Applying alpha-rule on (607) yields:
% 15.38/4.12 | (608) all_0_113_113 = e13
% 15.38/4.12 | (609) ~ (all_0_111_111 = e11)
% 15.38/4.12 | (610) ~ (all_0_117_117 = e11)
% 15.38/4.12 |
% 15.38/4.12 | Equations (405) can reduce 610 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 15.38/4.12 |
% 15.38/4.12 | Applying alpha-rule on (612) yields:
% 15.38/4.12 | (613) all_0_114_114 = e13
% 15.38/4.12 | (614) ~ (all_0_122_122 = e10)
% 15.38/4.12 |
% 15.38/4.12 | Equations (613) can reduce 874 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 15.38/4.12 |
% 15.38/4.12 | Applying alpha-rule on (625) yields:
% 15.38/4.12 | (626) all_0_115_115 = e11
% 15.38/4.12 | (627) ~ (all_0_111_111 = e13)
% 15.38/4.12 | (628) ~ (all_0_117_117 = e13)
% 15.38/4.12 |
% 15.38/4.12 | Combining equations (626,704) yields a new equation:
% 15.38/4.12 | (850) e13 = e11
% 15.38/4.12 |
% 15.38/4.12 | Equations (850) can reduce 323 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 15.38/4.12 |
% 15.38/4.12 | Applying alpha-rule on (630) yields:
% 15.38/4.12 | (597) all_0_116_116 = e11
% 15.38/4.12 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 15.38/4.12 |
% 15.38/4.12 | Equations (597) can reduce 409 to:
% 15.38/4.12 | (420) $false
% 15.38/4.12 |
% 15.38/4.12 |-The branch is then unsatisfiable
% 15.38/4.12 |-Branch two:
% 15.38/4.12 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 15.38/4.12 |
% 15.38/4.12 | Applying alpha-rule on (634) yields:
% 15.38/4.12 | (635) all_0_120_120 = e10
% 15.38/4.12 | (636) ~ (all_0_122_122 = e12)
% 15.38/4.12 |
% 15.38/4.12 | Equations (635) can reduce 232 to:
% 15.38/4.12 | (719) ~ (all_0_121_121 = e10)
% 15.38/4.12 |
% 15.38/4.12 | Simplifying 719 yields:
% 15.38/4.12 | (720) ~ (all_0_121_121 = e10)
% 15.38/4.12 |
% 15.38/4.12 | Equations (635) can reduce 49 to:
% 15.38/4.13 | (915) ~ (e13 = e10)
% 15.38/4.13 |
% 15.38/4.13 | Simplifying 915 yields:
% 15.38/4.13 | (179) ~ (e13 = e10)
% 15.38/4.13 |
% 15.38/4.13 | Equations (635) can reduce 670 to:
% 15.38/4.13 | (917) ~ (e11 = e10)
% 15.38/4.13 |
% 15.38/4.13 | Simplifying 917 yields:
% 15.38/4.13 | (271) ~ (e11 = e10)
% 15.38/4.13 |
% 15.38/4.13 +-Applying beta-rule and splitting (62), into two cases.
% 15.38/4.13 |-Branch one:
% 15.38/4.13 | (718) all_0_113_113 = e10
% 15.38/4.13 |
% 15.38/4.13 +-Applying beta-rule and splitting (885), into two cases.
% 15.38/4.13 |-Branch one:
% 15.38/4.13 | (608) all_0_113_113 = e13
% 15.38/4.13 |
% 15.38/4.13 | Combining equations (718,608) yields a new equation:
% 15.38/4.13 | (735) e13 = e10
% 15.38/4.13 |
% 15.38/4.13 | Equations (735) can reduce 179 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (615) ~ (all_0_113_113 = e13)
% 15.38/4.13 | (613) all_0_114_114 = e13
% 15.38/4.13 |
% 15.38/4.13 | Equations (613) can reduce 874 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (926) ~ (all_0_113_113 = e10)
% 15.38/4.13 | (927) all_0_117_117 = e10 | all_0_121_121 = e10
% 15.38/4.13 |
% 15.38/4.13 +-Applying beta-rule and splitting (17), into two cases.
% 15.38/4.13 |-Branch one:
% 15.38/4.13 | (928) all_0_112_112 = e10
% 15.38/4.13 |
% 15.38/4.13 | Combining equations (593,928) yields a new equation:
% 15.38/4.13 | (929) e11 = e10
% 15.38/4.13 |
% 15.38/4.13 | Simplifying 929 yields:
% 15.38/4.13 | (637) e11 = e10
% 15.38/4.13 |
% 15.38/4.13 | Equations (637) can reduce 271 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (932) ~ (all_0_112_112 = e10)
% 15.38/4.13 | (933) all_0_113_113 = e10 | all_0_114_114 = e10
% 15.38/4.13 |
% 15.38/4.13 | Equations (593) can reduce 932 to:
% 15.38/4.13 | (271) ~ (e11 = e10)
% 15.38/4.13 |
% 15.38/4.13 +-Applying beta-rule and splitting (927), into two cases.
% 15.38/4.13 |-Branch one:
% 15.38/4.13 | (935) all_0_117_117 = e10
% 15.38/4.13 |
% 15.38/4.13 | Combining equations (405,935) yields a new equation:
% 15.38/4.13 | (929) e11 = e10
% 15.38/4.13 |
% 15.38/4.13 | Simplifying 929 yields:
% 15.38/4.13 | (637) e11 = e10
% 15.38/4.13 |
% 15.38/4.13 | Equations (637) can reduce 271 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (939) ~ (all_0_117_117 = e10)
% 15.38/4.13 | (640) all_0_121_121 = e10
% 15.38/4.13 |
% 15.38/4.13 | Equations (640) can reduce 720 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.38/4.13 |
% 15.38/4.13 | Applying alpha-rule on (639) yields:
% 15.38/4.13 | (640) all_0_121_121 = e10
% 15.38/4.13 | (610) ~ (all_0_117_117 = e11)
% 15.38/4.13 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.38/4.13 |
% 15.38/4.13 | Equations (405) can reduce 610 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.38/4.13 |
% 15.38/4.13 | Applying alpha-rule on (644) yields:
% 15.38/4.13 | (610) ~ (all_0_117_117 = e11)
% 15.38/4.13 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.38/4.13 |
% 15.38/4.13 | Equations (405) can reduce 610 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (951) ~ (all_0_115_115 = e13)
% 15.38/4.13 | (952) all_0_115_115 = e12
% 15.38/4.13 |
% 15.38/4.13 | Equations (952) can reduce 702 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (954) ~ (all_0_111_111 = e12)
% 15.38/4.13 | (955) all_0_115_115 = e12 | all_0_119_119 = e12
% 15.38/4.13 |
% 15.38/4.13 +-Applying beta-rule and splitting (955), into two cases.
% 15.38/4.13 |-Branch one:
% 15.38/4.13 | (952) all_0_115_115 = e12
% 15.38/4.13 |
% 15.38/4.13 | Equations (952) can reduce 218 to:
% 15.38/4.13 | (954) ~ (all_0_111_111 = e12)
% 15.38/4.13 |
% 15.38/4.13 | Equations (952) can reduce 408 to:
% 15.38/4.13 | (290) ~ (e12 = e11)
% 15.38/4.13 |
% 15.38/4.13 +-Applying beta-rule and splitting (255), into two cases.
% 15.38/4.13 |-Branch one:
% 15.38/4.13 | (959) all_0_112_112 = e12
% 15.38/4.13 |
% 15.38/4.13 | Combining equations (959,593) yields a new equation:
% 15.38/4.13 | (960) e12 = e11
% 15.38/4.13 |
% 15.38/4.13 | Simplifying 960 yields:
% 15.38/4.13 | (961) e12 = e11
% 15.38/4.13 |
% 15.38/4.13 | Equations (961) can reduce 290 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (963) ~ (all_0_112_112 = e12)
% 15.38/4.13 | (964) all_0_116_116 = e12 | all_0_120_120 = e12
% 15.38/4.13 |
% 15.38/4.13 | Equations (593) can reduce 963 to:
% 15.38/4.13 | (410) ~ (e12 = e11)
% 15.38/4.13 |
% 15.38/4.13 | Simplifying 410 yields:
% 15.38/4.13 | (290) ~ (e12 = e11)
% 15.38/4.13 |
% 15.38/4.13 +-Applying beta-rule and splitting (691), into two cases.
% 15.38/4.13 |-Branch one:
% 15.38/4.13 | (880) all_0_111_111 = e13
% 15.38/4.13 |
% 15.38/4.13 | Equations (880) can reduce 278 to:
% 15.38/4.13 | (968) ~ (all_0_113_113 = e13)
% 15.38/4.13 |
% 15.38/4.13 | Simplifying 968 yields:
% 15.38/4.13 | (615) ~ (all_0_113_113 = e13)
% 15.38/4.13 |
% 15.38/4.13 | Equations (880) can reduce 287 to:
% 15.38/4.13 | (970) ~ (all_0_114_114 = e13)
% 15.38/4.13 |
% 15.38/4.13 | Simplifying 970 yields:
% 15.38/4.13 | (874) ~ (all_0_114_114 = e13)
% 15.38/4.13 |
% 15.38/4.13 | Equations (880) can reduce 609 to:
% 15.38/4.13 | (323) ~ (e13 = e11)
% 15.38/4.13 |
% 15.38/4.13 | Equations (880) can reduce 333 to:
% 15.38/4.13 | (179) ~ (e13 = e10)
% 15.38/4.13 |
% 15.38/4.13 +-Applying beta-rule and splitting (320), into two cases.
% 15.38/4.13 |-Branch one:
% 15.38/4.13 | (608) all_0_113_113 = e13
% 15.38/4.13 |
% 15.38/4.13 | Equations (608) can reduce 615 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (615) ~ (all_0_113_113 = e13)
% 15.38/4.13 | (619) all_0_117_117 = e13 | all_0_121_121 = e13
% 15.38/4.13 |
% 15.38/4.13 +-Applying beta-rule and splitting (619), into two cases.
% 15.38/4.13 |-Branch one:
% 15.38/4.13 | (978) all_0_117_117 = e13
% 15.38/4.13 |
% 15.38/4.13 | Combining equations (405,978) yields a new equation:
% 15.38/4.13 | (850) e13 = e11
% 15.38/4.13 |
% 15.38/4.13 | Equations (850) can reduce 323 to:
% 15.38/4.13 | (420) $false
% 15.38/4.13 |
% 15.38/4.13 |-The branch is then unsatisfiable
% 15.38/4.13 |-Branch two:
% 15.38/4.13 | (628) ~ (all_0_117_117 = e13)
% 15.38/4.13 | (722) all_0_121_121 = e13
% 15.38/4.13 |
% 15.38/4.14 | Equations (722) can reduce 281 to:
% 15.38/4.14 | (615) ~ (all_0_113_113 = e13)
% 15.38/4.14 |
% 15.38/4.14 | Equations (722) can reduce 232 to:
% 15.38/4.14 | (49) ~ (all_0_120_120 = e13)
% 15.38/4.14 |
% 15.38/4.14 | Equations (722) can reduce 163 to:
% 15.38/4.14 | (723) ~ (all_0_122_122 = e13)
% 15.38/4.14 |
% 15.38/4.14 | Simplifying 723 yields:
% 15.38/4.14 | (724) ~ (all_0_122_122 = e13)
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (57), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (613) all_0_114_114 = e13
% 15.38/4.14 |
% 15.38/4.14 | Equations (613) can reduce 874 to:
% 15.38/4.14 | (420) $false
% 15.38/4.14 |
% 15.38/4.14 |-The branch is then unsatisfiable
% 15.38/4.14 |-Branch two:
% 15.38/4.14 | (874) ~ (all_0_114_114 = e13)
% 15.38/4.14 | (879) all_0_118_118 = e13 | all_0_122_122 = e13
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (62), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (718) all_0_113_113 = e10
% 15.38/4.14 |
% 15.38/4.14 | Equations (718) can reduce 615 to:
% 15.38/4.14 | (915) ~ (e13 = e10)
% 15.38/4.14 |
% 15.38/4.14 | Simplifying 915 yields:
% 15.38/4.14 | (179) ~ (e13 = e10)
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (14), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (602), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (603), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (604), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (605), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (606), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 15.38/4.14 |
% 15.38/4.14 | Applying alpha-rule on (607) yields:
% 15.38/4.14 | (608) all_0_113_113 = e13
% 15.38/4.14 | (609) ~ (all_0_111_111 = e11)
% 15.38/4.14 | (610) ~ (all_0_117_117 = e11)
% 15.38/4.14 |
% 15.38/4.14 | Combining equations (608,718) yields a new equation:
% 15.38/4.14 | (840) e13 = e10
% 15.38/4.14 |
% 15.38/4.14 | Simplifying 840 yields:
% 15.38/4.14 | (735) e13 = e10
% 15.38/4.14 |
% 15.38/4.14 | Equations (735) can reduce 179 to:
% 15.38/4.14 | (420) $false
% 15.38/4.14 |
% 15.38/4.14 |-The branch is then unsatisfiable
% 15.38/4.14 |-Branch two:
% 15.38/4.14 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 15.38/4.14 |
% 15.38/4.14 | Applying alpha-rule on (612) yields:
% 15.38/4.14 | (613) all_0_114_114 = e13
% 15.38/4.14 | (614) ~ (all_0_122_122 = e10)
% 15.38/4.14 |
% 15.38/4.14 | Equations (613) can reduce 874 to:
% 15.38/4.14 | (420) $false
% 15.38/4.14 |
% 15.38/4.14 |-The branch is then unsatisfiable
% 15.38/4.14 |-Branch two:
% 15.38/4.14 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 15.38/4.14 |
% 15.38/4.14 | Applying alpha-rule on (625) yields:
% 15.38/4.14 | (626) all_0_115_115 = e11
% 15.38/4.14 | (627) ~ (all_0_111_111 = e13)
% 15.38/4.14 | (628) ~ (all_0_117_117 = e13)
% 15.38/4.14 |
% 15.38/4.14 | Combining equations (626,952) yields a new equation:
% 15.38/4.14 | (961) e12 = e11
% 15.38/4.14 |
% 15.38/4.14 | Equations (961) can reduce 290 to:
% 15.38/4.14 | (420) $false
% 15.38/4.14 |
% 15.38/4.14 |-The branch is then unsatisfiable
% 15.38/4.14 |-Branch two:
% 15.38/4.14 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 15.38/4.14 |
% 15.38/4.14 | Applying alpha-rule on (630) yields:
% 15.38/4.14 | (597) all_0_116_116 = e11
% 15.38/4.14 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 15.38/4.14 |
% 15.38/4.14 | Equations (597) can reduce 409 to:
% 15.38/4.14 | (420) $false
% 15.38/4.14 |
% 15.38/4.14 |-The branch is then unsatisfiable
% 15.38/4.14 |-Branch two:
% 15.38/4.14 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 15.38/4.14 |
% 15.38/4.14 | Applying alpha-rule on (634) yields:
% 15.38/4.14 | (635) all_0_120_120 = e10
% 15.38/4.14 | (636) ~ (all_0_122_122 = e12)
% 15.38/4.14 |
% 15.38/4.14 | Equations (635) can reduce 158 to:
% 15.38/4.14 | (741) ~ (all_0_116_116 = e10)
% 15.38/4.14 |
% 15.38/4.14 | Equations (635) can reduce 49 to:
% 15.38/4.14 | (915) ~ (e13 = e10)
% 15.38/4.14 |
% 15.38/4.14 | Simplifying 915 yields:
% 15.38/4.14 | (179) ~ (e13 = e10)
% 15.38/4.14 |
% 15.38/4.14 | Equations (635) can reduce 670 to:
% 15.38/4.14 | (917) ~ (e11 = e10)
% 15.38/4.14 |
% 15.38/4.14 | Simplifying 917 yields:
% 15.38/4.14 | (271) ~ (e11 = e10)
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (189), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (745) all_0_116_116 = e10
% 15.38/4.14 |
% 15.38/4.14 | Equations (745) can reduce 741 to:
% 15.38/4.14 | (420) $false
% 15.38/4.14 |
% 15.38/4.14 |-The branch is then unsatisfiable
% 15.38/4.14 |-Branch two:
% 15.38/4.14 | (741) ~ (all_0_116_116 = e10)
% 15.38/4.14 | (748) all_0_117_117 = e10 | all_0_118_118 = e10
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (231), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (749) all_0_122_122 = e13
% 15.38/4.14 |
% 15.38/4.14 | Equations (749) can reduce 724 to:
% 15.38/4.14 | (420) $false
% 15.38/4.14 |
% 15.38/4.14 |-The branch is then unsatisfiable
% 15.38/4.14 |-Branch two:
% 15.38/4.14 | (724) ~ (all_0_122_122 = e13)
% 15.38/4.14 | (752) all_0_122_122 = e12 | all_0_122_122 = e10
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (748), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (935) all_0_117_117 = e10
% 15.38/4.14 |
% 15.38/4.14 | Combining equations (405,935) yields a new equation:
% 15.38/4.14 | (929) e11 = e10
% 15.38/4.14 |
% 15.38/4.14 | Simplifying 929 yields:
% 15.38/4.14 | (637) e11 = e10
% 15.38/4.14 |
% 15.38/4.14 | Equations (637) can reduce 271 to:
% 15.38/4.14 | (420) $false
% 15.38/4.14 |
% 15.38/4.14 |-The branch is then unsatisfiable
% 15.38/4.14 |-Branch two:
% 15.38/4.14 | (939) ~ (all_0_117_117 = e10)
% 15.38/4.14 | (764) all_0_118_118 = e10
% 15.38/4.14 |
% 15.38/4.14 +-Applying beta-rule and splitting (879), into two cases.
% 15.38/4.14 |-Branch one:
% 15.38/4.14 | (1042) all_0_118_118 = e13
% 15.38/4.14 |
% 15.38/4.14 | Combining equations (764,1042) yields a new equation:
% 15.38/4.14 | (735) e13 = e10
% 15.38/4.14 |
% 15.38/4.14 | Equations (735) can reduce 179 to:
% 15.38/4.14 | (420) $false
% 15.38/4.14 |
% 15.38/4.14 |-The branch is then unsatisfiable
% 15.38/4.14 |-Branch two:
% 15.38/4.14 | (1045) ~ (all_0_118_118 = e13)
% 15.38/4.14 | (749) all_0_122_122 = e13
% 15.38/4.14 |
% 15.38/4.14 | Equations (749) can reduce 724 to:
% 15.38/4.14 | (420) $false
% 15.38/4.14 |
% 15.38/4.14 |-The branch is then unsatisfiable
% 15.54/4.14 |-Branch two:
% 15.54/4.14 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.54/4.14 |
% 15.54/4.15 | Applying alpha-rule on (639) yields:
% 15.54/4.15 | (640) all_0_121_121 = e10
% 15.54/4.15 | (610) ~ (all_0_117_117 = e11)
% 15.54/4.15 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.54/4.15 |
% 15.54/4.15 | Combining equations (722,640) yields a new equation:
% 15.54/4.15 | (840) e13 = e10
% 15.54/4.15 |
% 15.54/4.15 | Simplifying 840 yields:
% 15.54/4.15 | (735) e13 = e10
% 15.54/4.15 |
% 15.54/4.15 | Equations (735) can reduce 179 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.54/4.15 |
% 15.54/4.15 | Applying alpha-rule on (644) yields:
% 15.54/4.15 | (610) ~ (all_0_117_117 = e11)
% 15.54/4.15 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.54/4.15 |
% 15.54/4.15 | Equations (405) can reduce 610 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (926) ~ (all_0_113_113 = e10)
% 15.54/4.15 | (927) all_0_117_117 = e10 | all_0_121_121 = e10
% 15.54/4.15 |
% 15.54/4.15 +-Applying beta-rule and splitting (927), into two cases.
% 15.54/4.15 |-Branch one:
% 15.54/4.15 | (935) all_0_117_117 = e10
% 15.54/4.15 |
% 15.54/4.15 | Combining equations (405,935) yields a new equation:
% 15.54/4.15 | (929) e11 = e10
% 15.54/4.15 |
% 15.54/4.15 | Simplifying 929 yields:
% 15.54/4.15 | (637) e11 = e10
% 15.54/4.15 |
% 15.54/4.15 | Equations (637) can reduce 271 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (939) ~ (all_0_117_117 = e10)
% 15.54/4.15 | (640) all_0_121_121 = e10
% 15.54/4.15 |
% 15.54/4.15 | Combining equations (722,640) yields a new equation:
% 15.54/4.15 | (840) e13 = e10
% 15.54/4.15 |
% 15.54/4.15 | Simplifying 840 yields:
% 15.54/4.15 | (735) e13 = e10
% 15.54/4.15 |
% 15.54/4.15 | Equations (735) can reduce 179 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (627) ~ (all_0_111_111 = e13)
% 15.54/4.15 | (700) all_0_111_111 = e12
% 15.54/4.15 |
% 15.54/4.15 | Equations (700) can reduce 954 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (702) ~ (all_0_115_115 = e12)
% 15.54/4.15 | (1074) all_0_119_119 = e12
% 15.54/4.15 |
% 15.54/4.15 | Combining equations (1074,657) yields a new equation:
% 15.54/4.15 | (960) e12 = e11
% 15.54/4.15 |
% 15.54/4.15 | Simplifying 960 yields:
% 15.54/4.15 | (961) e12 = e11
% 15.54/4.15 |
% 15.54/4.15 | Equations (961) can reduce 290 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (589) ~ (all_0_112_112 = e11)
% 15.54/4.15 | (692) all_0_113_113 = e11
% 15.54/4.15 |
% 15.54/4.15 | Equations (692) can reduce 407 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (1081) ~ (all_0_109_109 = e23)
% 15.54/4.15 | (493) all_0_109_109 = e20
% 15.54/4.15 |
% 15.54/4.15 | Equations (493) can reduce 502 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (1084) ~ (all_0_102_102 = e23)
% 15.54/4.15 | (1085) all_0_106_106 = e23 | all_0_110_110 = e23
% 15.54/4.15 |
% 15.54/4.15 +-Applying beta-rule and splitting (443), into two cases.
% 15.54/4.15 |-Branch one:
% 15.54/4.15 | (586) all_0_109_109 = e23
% 15.54/4.15 |
% 15.54/4.15 | Equations (586) can reduce 154 to:
% 15.54/4.15 | (25) ~ (e23 = e22)
% 15.54/4.15 |
% 15.54/4.15 | Equations (586) can reduce 502 to:
% 15.54/4.15 | (243) ~ (e23 = e20)
% 15.54/4.15 |
% 15.54/4.15 +-Applying beta-rule and splitting (1085), into two cases.
% 15.54/4.15 |-Branch one:
% 15.54/4.15 | (545) all_0_106_106 = e23
% 15.54/4.15 |
% 15.54/4.15 | Combining equations (555,545) yields a new equation:
% 15.54/4.15 | (476) e23 = e20
% 15.54/4.15 |
% 15.54/4.15 | Equations (476) can reduce 243 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (544) ~ (all_0_106_106 = e23)
% 15.54/4.15 | (1093) all_0_110_110 = e23
% 15.54/4.15 |
% 15.54/4.15 | Combining equations (583,1093) yields a new equation:
% 15.54/4.15 | (1094) e23 = e22
% 15.54/4.15 |
% 15.54/4.15 | Equations (1094) can reduce 25 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (1081) ~ (all_0_109_109 = e23)
% 15.54/4.15 | (493) all_0_109_109 = e20
% 15.54/4.15 |
% 15.54/4.15 | Equations (493) can reduce 502 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (446) ~ (all_0_108_108 = e20)
% 15.54/4.15 | (486) all_0_109_109 = e20 | all_0_110_110 = e20
% 15.54/4.15 |
% 15.54/4.15 +-Applying beta-rule and splitting (486), into two cases.
% 15.54/4.15 |-Branch one:
% 15.54/4.15 | (493) all_0_109_109 = e20
% 15.54/4.15 |
% 15.54/4.15 | Equations (493) can reduce 502 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.15 |-Branch two:
% 15.54/4.15 | (502) ~ (all_0_109_109 = e20)
% 15.54/4.15 | (503) all_0_110_110 = e20
% 15.54/4.15 |
% 15.54/4.15 | Equations (503) can reduce 474 to:
% 15.54/4.15 | (420) $false
% 15.54/4.15 |
% 15.54/4.15 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (494) ~ (all_0_101_101 = e20)
% 15.54/4.16 | (475) all_0_102_102 = e20
% 15.54/4.16 |
% 15.54/4.16 | Equations (475) can reduce 478 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (1109) ~ (all_0_106_106 = e20)
% 15.54/4.16 | (579) all_0_106_106 = e22
% 15.54/4.16 |
% 15.54/4.16 | Equations (579) can reduce 538 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (1112) ~ (all_0_103_103 = e23)
% 15.54/4.16 | (1113) all_0_103_103 = e22
% 15.54/4.16 |
% 15.54/4.16 | Equations (1113) can reduce 536 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (1115) ~ (all_0_107_107 = e21)
% 15.54/4.16 | (1116) all_0_108_108 = e21 | all_0_109_109 = e21
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (422), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (428) all_0_103_103 = e21
% 15.54/4.16 |
% 15.54/4.16 | Equations (428) can reduce 363 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (363) ~ (all_0_103_103 = e21)
% 15.54/4.16 | (423) all_0_107_107 = e21
% 15.54/4.16 |
% 15.54/4.16 | Equations (423) can reduce 1115 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (1122) ~ (all_0_100_100 = e21)
% 15.54/4.16 | (1123) all_0_104_104 = e21 | all_0_108_108 = e21
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (260), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (419) all_0_99_99 = e21
% 15.54/4.16 |
% 15.54/4.16 | Equations (419) can reduce 226 to:
% 15.54/4.16 | (1125) ~ (all_0_103_103 = e21)
% 15.54/4.16 |
% 15.54/4.16 | Simplifying 1125 yields:
% 15.54/4.16 | (363) ~ (all_0_103_103 = e21)
% 15.54/4.16 |
% 15.54/4.16 | Equations (419) can reduce 233 to:
% 15.54/4.16 | (300) ~ (e21 = e20)
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (361), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (416) ~ (all_0_99_99 = e21)
% 15.54/4.16 |
% 15.54/4.16 | Equations (419) can reduce 416 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (419) all_0_99_99 = e21
% 15.54/4.16 | (468) all_0_101_101 = e23
% 15.54/4.16 |
% 15.54/4.16 | Equations (468) can reduce 203 to:
% 15.54/4.16 | (1132) ~ (all_0_102_102 = e23)
% 15.54/4.16 |
% 15.54/4.16 | Simplifying 1132 yields:
% 15.54/4.16 | (1084) ~ (all_0_102_102 = e23)
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (181), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (495) all_0_101_101 = e20
% 15.54/4.16 |
% 15.54/4.16 | Combining equations (495,468) yields a new equation:
% 15.54/4.16 | (476) e23 = e20
% 15.54/4.16 |
% 15.54/4.16 | Equations (476) can reduce 243 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (494) ~ (all_0_101_101 = e20)
% 15.54/4.16 | (1138) all_0_105_105 = e20 | all_0_109_109 = e20
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (1138), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (1139) all_0_105_105 = e20
% 15.54/4.16 |
% 15.54/4.16 | Combining equations (1139,360) yields a new equation:
% 15.54/4.16 | (489) e21 = e20
% 15.54/4.16 |
% 15.54/4.16 | Equations (489) can reduce 300 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (1142) ~ (all_0_105_105 = e20)
% 15.54/4.16 | (493) all_0_109_109 = e20
% 15.54/4.16 |
% 15.54/4.16 | Equations (493) can reduce 124 to:
% 15.54/4.16 | (446) ~ (all_0_108_108 = e20)
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (1123), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (432) all_0_104_104 = e21
% 15.54/4.16 |
% 15.54/4.16 | Equations (432) can reduce 364 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (364) ~ (all_0_104_104 = e21)
% 15.54/4.16 | (1148) all_0_108_108 = e21
% 15.54/4.16 |
% 15.54/4.16 | Equations (1148) can reduce 90 to:
% 15.54/4.16 | (364) ~ (all_0_104_104 = e21)
% 15.54/4.16 |
% 15.54/4.16 | Equations (1148) can reduce 446 to:
% 15.54/4.16 | (300) ~ (e21 = e20)
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (45), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (462) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22)) | (all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)))
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (462), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (463) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22))
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (463), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (464) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (464), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (465) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23))
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (465), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (466) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20))
% 15.54/4.16 |
% 15.54/4.16 +-Applying beta-rule and splitting (466), into two cases.
% 15.54/4.16 |-Branch one:
% 15.54/4.16 | (467) all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)
% 15.54/4.16 |
% 15.54/4.16 | Applying alpha-rule on (467) yields:
% 15.54/4.16 | (468) all_0_101_101 = e23
% 15.54/4.16 | (416) ~ (all_0_99_99 = e21)
% 15.54/4.16 | (470) ~ (all_0_105_105 = e21)
% 15.54/4.16 |
% 15.54/4.16 | Equations (360) can reduce 470 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (472) all_0_102_102 = e23 & ~ (all_0_110_110 = e20)
% 15.54/4.16 |
% 15.54/4.16 | Applying alpha-rule on (472) yields:
% 15.54/4.16 | (473) all_0_102_102 = e23
% 15.54/4.16 | (474) ~ (all_0_110_110 = e20)
% 15.54/4.16 |
% 15.54/4.16 | Equations (473) can reduce 1084 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (505) all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)
% 15.54/4.16 |
% 15.54/4.16 | Applying alpha-rule on (505) yields:
% 15.54/4.16 | (428) all_0_103_103 = e21
% 15.54/4.16 | (507) ~ (all_0_99_99 = e23)
% 15.54/4.16 | (508) ~ (all_0_105_105 = e23)
% 15.54/4.16 |
% 15.54/4.16 | Equations (428) can reduce 363 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (510) all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 15.54/4.16 |
% 15.54/4.16 | Applying alpha-rule on (510) yields:
% 15.54/4.16 | (432) all_0_104_104 = e21
% 15.54/4.16 | (512) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 15.54/4.16 |
% 15.54/4.16 | Equations (432) can reduce 364 to:
% 15.54/4.16 | (420) $false
% 15.54/4.16 |
% 15.54/4.16 |-The branch is then unsatisfiable
% 15.54/4.16 |-Branch two:
% 15.54/4.16 | (515) all_0_108_108 = e20 & ~ (all_0_110_110 = e22)
% 15.54/4.16 |
% 15.54/4.17 | Applying alpha-rule on (515) yields:
% 15.54/4.17 | (481) all_0_108_108 = e20
% 15.54/4.17 | (517) ~ (all_0_110_110 = e22)
% 15.54/4.17 |
% 15.54/4.17 | Combining equations (1148,481) yields a new equation:
% 15.54/4.17 | (488) e21 = e20
% 15.54/4.17 |
% 15.54/4.17 | Simplifying 488 yields:
% 15.54/4.17 | (489) e21 = e20
% 15.54/4.17 |
% 15.54/4.17 | Equations (489) can reduce 300 to:
% 15.54/4.17 | (420) $false
% 15.54/4.17 |
% 15.54/4.17 |-The branch is then unsatisfiable
% 15.54/4.17 |-Branch two:
% 15.54/4.17 | (521) all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 15.54/4.17 |
% 15.54/4.17 | Applying alpha-rule on (521) yields:
% 15.54/4.17 | (493) all_0_109_109 = e20
% 15.54/4.17 | (470) ~ (all_0_105_105 = e21)
% 15.54/4.17 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 15.54/4.17 |
% 15.54/4.17 | Equations (360) can reduce 470 to:
% 15.54/4.17 | (420) $false
% 15.54/4.17 |
% 15.54/4.17 |-The branch is then unsatisfiable
% 15.54/4.17 |-Branch two:
% 15.54/4.17 | (526) ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 15.54/4.17 |
% 15.54/4.17 | Applying alpha-rule on (526) yields:
% 15.54/4.17 | (470) ~ (all_0_105_105 = e21)
% 15.54/4.17 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 15.54/4.17 |
% 15.54/4.17 | Equations (360) can reduce 470 to:
% 15.54/4.17 | (420) $false
% 15.54/4.17 |
% 15.54/4.17 |-The branch is then unsatisfiable
% 15.54/4.17 |-Branch two:
% 15.54/4.17 | (416) ~ (all_0_99_99 = e21)
% 15.54/4.17 | (1190) all_0_100_100 = e21 | all_0_101_101 = e21
% 15.54/4.17 |
% 15.54/4.17 +-Applying beta-rule and splitting (143), into two cases.
% 15.54/4.17 |-Branch one:
% 15.54/4.17 | (419) all_0_99_99 = e21
% 15.54/4.17 |
% 15.54/4.17 | Equations (419) can reduce 416 to:
% 15.54/4.17 | (420) $false
% 15.54/4.17 |
% 15.54/4.17 |-The branch is then unsatisfiable
% 15.54/4.17 |-Branch two:
% 15.54/4.17 | (416) ~ (all_0_99_99 = e21)
% 15.54/4.17 | (422) all_0_103_103 = e21 | all_0_107_107 = e21
% 15.54/4.17 |
% 15.54/4.17 +-Applying beta-rule and splitting (1123), into two cases.
% 15.54/4.17 |-Branch one:
% 15.54/4.17 | (432) all_0_104_104 = e21
% 15.54/4.17 |
% 15.54/4.17 | Equations (432) can reduce 364 to:
% 15.54/4.17 | (420) $false
% 15.54/4.17 |
% 15.54/4.17 |-The branch is then unsatisfiable
% 15.54/4.17 |-Branch two:
% 15.54/4.17 | (364) ~ (all_0_104_104 = e21)
% 15.54/4.17 | (1148) all_0_108_108 = e21
% 15.54/4.17 |
% 15.54/4.17 | Equations (1148) can reduce 134 to:
% 15.54/4.17 | (1115) ~ (all_0_107_107 = e21)
% 15.54/4.17 |
% 15.54/4.17 +-Applying beta-rule and splitting (422), into two cases.
% 15.54/4.17 |-Branch one:
% 15.54/4.17 | (428) all_0_103_103 = e21
% 15.54/4.17 |
% 15.54/4.17 | Equations (428) can reduce 363 to:
% 15.54/4.17 | (420) $false
% 15.54/4.17 |
% 15.54/4.17 |-The branch is then unsatisfiable
% 15.54/4.17 |-Branch two:
% 15.54/4.17 | (363) ~ (all_0_103_103 = e21)
% 15.54/4.17 | (423) all_0_107_107 = e21
% 15.54/4.17 |
% 15.54/4.17 | Equations (423) can reduce 1115 to:
% 15.54/4.17 | (420) $false
% 15.54/4.17 |
% 15.54/4.17 |-The branch is then unsatisfiable
% 15.54/4.17 |-Branch two:
% 15.54/4.17 | (1205) all_0_122_122 = e10 & ~ (all_0_117_117 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Applying alpha-rule on (1205) yields:
% 15.54/4.17 | (758) all_0_122_122 = e10
% 15.54/4.17 | (939) ~ (all_0_117_117 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (758) can reduce 201 to:
% 15.54/4.17 | (819) ~ (all_0_118_118 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (758) can reduce 10 to:
% 15.54/4.17 | (329) ~ (all_0_119_119 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (758) can reduce 79 to:
% 15.54/4.17 | (823) ~ (all_0_120_120 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (758) can reduce 163 to:
% 15.54/4.17 | (720) ~ (all_0_121_121 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (758) can reduce 336 to:
% 15.54/4.17 | (917) ~ (e11 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Simplifying 917 yields:
% 15.54/4.17 | (271) ~ (e11 = e10)
% 15.54/4.17 |
% 15.54/4.17 | From (758) and (331) follows:
% 15.54/4.17 | (1214) h4(e10) = all_0_26_26
% 15.54/4.17 |
% 15.54/4.17 +-Applying beta-rule and splitting (62), into two cases.
% 15.54/4.17 |-Branch one:
% 15.54/4.17 | (718) all_0_113_113 = e10
% 15.54/4.17 |
% 15.54/4.17 | Equations (718) can reduce 278 to:
% 15.54/4.17 | (333) ~ (all_0_111_111 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (718) can reduce 207 to:
% 15.54/4.17 | (932) ~ (all_0_112_112 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (718) can reduce 169 to:
% 15.54/4.17 | (1218) ~ (all_0_114_114 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Simplifying 1218 yields:
% 15.54/4.17 | (737) ~ (all_0_114_114 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (718) can reduce 281 to:
% 15.54/4.17 | (719) ~ (all_0_121_121 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Simplifying 719 yields:
% 15.54/4.17 | (720) ~ (all_0_121_121 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (718) can reduce 277 to:
% 15.54/4.17 | (1222) ~ (e12 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Simplifying 1222 yields:
% 15.54/4.17 | (148) ~ (e12 = e10)
% 15.54/4.17 |
% 15.54/4.17 | From (718) and (299) follows:
% 15.54/4.17 | (1224) h4(e10) = all_0_5_5
% 15.54/4.17 |
% 15.54/4.17 +-Applying beta-rule and splitting (189), into two cases.
% 15.54/4.17 |-Branch one:
% 15.54/4.17 | (745) all_0_116_116 = e10
% 15.54/4.17 |
% 15.54/4.17 | Equations (745) can reduce 200 to:
% 15.54/4.17 | (1226) ~ (all_0_117_117 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Simplifying 1226 yields:
% 15.54/4.17 | (939) ~ (all_0_117_117 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (745) can reduce 158 to:
% 15.54/4.17 | (1228) ~ (all_0_120_120 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Simplifying 1228 yields:
% 15.54/4.17 | (823) ~ (all_0_120_120 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Equations (745) can reduce 84 to:
% 15.54/4.17 | (915) ~ (e13 = e10)
% 15.54/4.17 |
% 15.54/4.17 | Simplifying 915 yields:
% 15.54/4.17 | (179) ~ (e13 = e10)
% 15.54/4.17 |
% 15.54/4.17 | From (745) and (113) follows:
% 15.54/4.17 | (1232) h4(e10) = all_0_14_14
% 15.54/4.17 |
% 15.54/4.17 | Instantiating formula (346) with e10, all_0_5_5, all_0_94_94 and discharging atoms h4(e10) = all_0_5_5, h4(e10) = all_0_94_94, yields:
% 15.54/4.17 | (1233) all_0_5_5 = all_0_94_94
% 15.54/4.17 |
% 15.54/4.17 | Instantiating formula (346) with e10, all_0_14_14, all_0_5_5 and discharging atoms h4(e10) = all_0_5_5, h4(e10) = all_0_14_14, yields:
% 15.54/4.17 | (1234) all_0_5_5 = all_0_14_14
% 15.54/4.17 |
% 15.54/4.17 | Instantiating formula (346) with e10, all_0_26_26, all_0_5_5 and discharging atoms h4(e10) = all_0_5_5, h4(e10) = all_0_26_26, yields:
% 15.54/4.18 | (1235) all_0_5_5 = all_0_26_26
% 15.54/4.18 |
% 15.54/4.18 | Combining equations (1235,1234) yields a new equation:
% 15.54/4.18 | (1236) all_0_14_14 = all_0_26_26
% 15.54/4.18 |
% 15.54/4.18 | Combining equations (1233,1234) yields a new equation:
% 15.54/4.18 | (1237) all_0_14_14 = all_0_94_94
% 15.54/4.18 |
% 15.54/4.18 | Combining equations (1237,1236) yields a new equation:
% 15.54/4.18 | (1238) all_0_26_26 = all_0_94_94
% 15.54/4.18 |
% 15.54/4.18 | Combining equations (1238,1236) yields a new equation:
% 15.54/4.18 | (1237) all_0_14_14 = all_0_94_94
% 15.54/4.18 |
% 15.54/4.18 | Combining equations (1237,1234) yields a new equation:
% 15.54/4.18 | (1233) all_0_5_5 = all_0_94_94
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (63), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (428) all_0_103_103 = e21
% 15.54/4.18 |
% 15.54/4.18 | Equations (428) can reduce 363 to:
% 15.54/4.18 | (420) $false
% 15.54/4.18 |
% 15.54/4.18 |-The branch is then unsatisfiable
% 15.54/4.18 |-Branch two:
% 15.54/4.18 | (363) ~ (all_0_103_103 = e21)
% 15.54/4.18 | (431) all_0_103_103 = e23 | all_0_103_103 = e22
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (22), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (432) all_0_104_104 = e21
% 15.54/4.18 |
% 15.54/4.18 | Equations (432) can reduce 364 to:
% 15.54/4.18 | (420) $false
% 15.54/4.18 |
% 15.54/4.18 |-The branch is then unsatisfiable
% 15.54/4.18 |-Branch two:
% 15.54/4.18 | (364) ~ (all_0_104_104 = e21)
% 15.54/4.18 | (435) all_0_104_104 = e22 | all_0_104_104 = e20
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (183), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (415) all_0_100_100 = e21
% 15.54/4.18 |
% 15.54/4.18 | Equations (415) can reduce 289 to:
% 15.54/4.18 | (416) ~ (all_0_99_99 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Equations (415) can reduce 55 to:
% 15.54/4.18 | (1251) ~ (all_0_102_102 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Simplifying 1251 yields:
% 15.54/4.18 | (194) ~ (all_0_102_102 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Equations (415) can reduce 220 to:
% 15.54/4.18 | (417) ~ (all_0_104_104 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Simplifying 417 yields:
% 15.54/4.18 | (364) ~ (all_0_104_104 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Equations (415) can reduce 269 to:
% 15.54/4.18 | (1255) ~ (e23 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Simplifying 1255 yields:
% 15.54/4.18 | (253) ~ (e23 = e21)
% 15.54/4.18 |
% 15.54/4.18 | From (415) and (266) follows:
% 15.54/4.18 | (1257) op2(e23, e22) = e21
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (143), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (419) all_0_99_99 = e21
% 15.54/4.18 |
% 15.54/4.18 | Equations (419) can reduce 416 to:
% 15.54/4.18 | (420) $false
% 15.54/4.18 |
% 15.54/4.18 |-The branch is then unsatisfiable
% 15.54/4.18 |-Branch two:
% 15.54/4.18 | (416) ~ (all_0_99_99 = e21)
% 15.54/4.18 | (422) all_0_103_103 = e21 | all_0_107_107 = e21
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (422), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (428) all_0_103_103 = e21
% 15.54/4.18 |
% 15.54/4.18 | Equations (428) can reduce 363 to:
% 15.54/4.18 | (420) $false
% 15.54/4.18 |
% 15.54/4.18 |-The branch is then unsatisfiable
% 15.54/4.18 |-Branch two:
% 15.54/4.18 | (363) ~ (all_0_103_103 = e21)
% 15.54/4.18 | (423) all_0_107_107 = e21
% 15.54/4.18 |
% 15.54/4.18 | Equations (423) can reduce 309 to:
% 15.54/4.18 | (416) ~ (all_0_99_99 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Equations (423) can reduce 123 to:
% 15.54/4.18 | (363) ~ (all_0_103_103 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Equations (423) can reduce 134 to:
% 15.54/4.18 | (1268) ~ (all_0_108_108 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Simplifying 1268 yields:
% 15.54/4.18 | (1269) ~ (all_0_108_108 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Equations (423) can reduce 76 to:
% 15.54/4.18 | (1270) ~ (all_0_110_110 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Simplifying 1270 yields:
% 15.54/4.18 | (279) ~ (all_0_110_110 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Equations (423) can reduce 36 to:
% 15.54/4.18 | (300) ~ (e21 = e20)
% 15.54/4.18 |
% 15.54/4.18 | From (423) and (208) follows:
% 15.54/4.18 | (1273) op2(e20, e23) = e21
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (188), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (419) all_0_99_99 = e21
% 15.54/4.18 |
% 15.54/4.18 | Equations (419) can reduce 416 to:
% 15.54/4.18 | (420) $false
% 15.54/4.18 |
% 15.54/4.18 |-The branch is then unsatisfiable
% 15.54/4.18 |-Branch two:
% 15.54/4.18 | (416) ~ (all_0_99_99 = e21)
% 15.54/4.18 | (439) all_0_99_99 = e23 | all_0_99_99 = e22
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (314), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (1148) all_0_108_108 = e21
% 15.54/4.18 |
% 15.54/4.18 | Equations (1148) can reduce 1269 to:
% 15.54/4.18 | (420) $false
% 15.54/4.18 |
% 15.54/4.18 |-The branch is then unsatisfiable
% 15.54/4.18 |-Branch two:
% 15.54/4.18 | (1269) ~ (all_0_108_108 = e21)
% 15.54/4.18 | (1281) all_0_108_108 = e22 | all_0_108_108 = e20
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (238), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (444) all_0_104_104 = e20
% 15.54/4.18 |
% 15.54/4.18 | Equations (444) can reduce 332 to:
% 15.54/4.18 | (1283) ~ (all_0_106_106 = e20)
% 15.54/4.18 |
% 15.54/4.18 | Simplifying 1283 yields:
% 15.54/4.18 | (1109) ~ (all_0_106_106 = e20)
% 15.54/4.18 |
% 15.54/4.18 | Equations (444) can reduce 90 to:
% 15.54/4.18 | (445) ~ (all_0_108_108 = e20)
% 15.54/4.18 |
% 15.54/4.18 | Simplifying 445 yields:
% 15.54/4.18 | (446) ~ (all_0_108_108 = e20)
% 15.54/4.18 |
% 15.54/4.18 | Equations (444) can reduce 42 to:
% 15.54/4.18 | (447) ~ (e23 = e20)
% 15.54/4.18 |
% 15.54/4.18 | Simplifying 447 yields:
% 15.54/4.18 | (243) ~ (e23 = e20)
% 15.54/4.18 |
% 15.54/4.18 | Equations (444) can reduce 364 to:
% 15.54/4.18 | (449) ~ (e21 = e20)
% 15.54/4.18 |
% 15.54/4.18 | Simplifying 449 yields:
% 15.54/4.18 | (300) ~ (e21 = e20)
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (308), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (451) all_0_100_100 = e22
% 15.54/4.18 |
% 15.54/4.18 | Combining equations (415,451) yields a new equation:
% 15.54/4.18 | (452) e22 = e21
% 15.54/4.18 |
% 15.54/4.18 | Equations (452) can reduce 224 to:
% 15.54/4.18 | (420) $false
% 15.54/4.18 |
% 15.54/4.18 |-The branch is then unsatisfiable
% 15.54/4.18 |-Branch two:
% 15.54/4.18 | (454) ~ (all_0_100_100 = e22)
% 15.54/4.18 | (455) all_0_104_104 = e22 | all_0_108_108 = e22
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (45), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (462) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22)) | (all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)))
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (462), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (463) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22))
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (463), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (464) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (464), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (465) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23))
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (465), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (466) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20))
% 15.54/4.18 |
% 15.54/4.18 +-Applying beta-rule and splitting (466), into two cases.
% 15.54/4.18 |-Branch one:
% 15.54/4.18 | (467) all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)
% 15.54/4.18 |
% 15.54/4.18 | Applying alpha-rule on (467) yields:
% 15.54/4.18 | (468) all_0_101_101 = e23
% 15.54/4.18 | (416) ~ (all_0_99_99 = e21)
% 15.54/4.19 | (470) ~ (all_0_105_105 = e21)
% 15.54/4.19 |
% 15.54/4.19 | Equations (360) can reduce 470 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (472) all_0_102_102 = e23 & ~ (all_0_110_110 = e20)
% 15.54/4.19 |
% 15.54/4.19 | Applying alpha-rule on (472) yields:
% 15.54/4.19 | (473) all_0_102_102 = e23
% 15.54/4.19 | (474) ~ (all_0_110_110 = e20)
% 15.54/4.19 |
% 15.54/4.19 | Equations (473) can reduce 222 to:
% 15.54/4.19 | (543) ~ (all_0_106_106 = e23)
% 15.54/4.19 |
% 15.54/4.19 | Simplifying 543 yields:
% 15.54/4.19 | (544) ~ (all_0_106_106 = e23)
% 15.54/4.19 |
% 15.54/4.19 | Equations (473) can reduce 43 to:
% 15.54/4.19 | (1311) ~ (all_0_110_110 = e23)
% 15.54/4.19 |
% 15.54/4.19 | Simplifying 1311 yields:
% 15.54/4.19 | (1312) ~ (all_0_110_110 = e23)
% 15.54/4.19 |
% 15.54/4.19 | Equations (473) can reduce 194 to:
% 15.54/4.19 | (253) ~ (e23 = e21)
% 15.54/4.19 |
% 15.54/4.19 +-Applying beta-rule and splitting (182), into two cases.
% 15.54/4.19 |-Branch one:
% 15.54/4.19 | (475) all_0_102_102 = e20
% 15.54/4.19 |
% 15.54/4.19 | Combining equations (473,475) yields a new equation:
% 15.54/4.19 | (499) e23 = e20
% 15.54/4.19 |
% 15.54/4.19 | Simplifying 499 yields:
% 15.54/4.19 | (476) e23 = e20
% 15.54/4.19 |
% 15.54/4.19 | Equations (476) can reduce 243 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (478) ~ (all_0_102_102 = e20)
% 15.54/4.19 | (479) all_0_106_106 = e20 | all_0_110_110 = e20
% 15.54/4.19 |
% 15.54/4.19 | Equations (473) can reduce 478 to:
% 15.54/4.19 | (243) ~ (e23 = e20)
% 15.54/4.19 |
% 15.54/4.19 +-Applying beta-rule and splitting (262), into two cases.
% 15.54/4.19 |-Branch one:
% 15.54/4.19 | (1321) all_0_107_107 = e23
% 15.54/4.19 |
% 15.54/4.19 | Combining equations (1321,423) yields a new equation:
% 15.54/4.19 | (1322) e23 = e21
% 15.54/4.19 |
% 15.54/4.19 | Simplifying 1322 yields:
% 15.54/4.19 | (1323) e23 = e21
% 15.54/4.19 |
% 15.54/4.19 | Equations (1323) can reduce 253 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (1325) ~ (all_0_107_107 = e23)
% 15.54/4.19 | (1326) all_0_109_109 = e23 | all_0_110_110 = e23
% 15.54/4.19 |
% 15.54/4.19 +-Applying beta-rule and splitting (302), into two cases.
% 15.54/4.19 |-Branch one:
% 15.54/4.19 | (545) all_0_106_106 = e23
% 15.54/4.19 |
% 15.54/4.19 | Equations (545) can reduce 544 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (544) ~ (all_0_106_106 = e23)
% 15.54/4.19 | (548) all_0_106_106 = e22 | all_0_106_106 = e20
% 15.54/4.19 |
% 15.54/4.19 +-Applying beta-rule and splitting (548), into two cases.
% 15.54/4.19 |-Branch one:
% 15.54/4.19 | (555) all_0_106_106 = e20
% 15.54/4.19 |
% 15.54/4.19 | Equations (555) can reduce 1109 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (1109) ~ (all_0_106_106 = e20)
% 15.54/4.19 | (579) all_0_106_106 = e22
% 15.54/4.19 |
% 15.54/4.19 | Equations (579) can reduce 1109 to:
% 15.54/4.19 | (122) ~ (e22 = e20)
% 15.54/4.19 |
% 15.54/4.19 +-Applying beta-rule and splitting (455), into two cases.
% 15.54/4.19 |-Branch one:
% 15.54/4.19 | (456) all_0_104_104 = e22
% 15.54/4.19 |
% 15.54/4.19 | Combining equations (444,456) yields a new equation:
% 15.54/4.19 | (457) e22 = e20
% 15.54/4.19 |
% 15.54/4.19 | Equations (457) can reduce 122 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (459) ~ (all_0_104_104 = e22)
% 15.54/4.19 | (460) all_0_108_108 = e22
% 15.54/4.19 |
% 15.54/4.19 | Equations (460) can reduce 446 to:
% 15.54/4.19 | (122) ~ (e22 = e20)
% 15.54/4.19 |
% 15.54/4.19 +-Applying beta-rule and splitting (191), into two cases.
% 15.54/4.19 |-Branch one:
% 15.54/4.19 | (481) all_0_108_108 = e20
% 15.54/4.19 |
% 15.54/4.19 | Combining equations (481,460) yields a new equation:
% 15.54/4.19 | (457) e22 = e20
% 15.54/4.19 |
% 15.54/4.19 | Equations (457) can reduce 122 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (446) ~ (all_0_108_108 = e20)
% 15.54/4.19 | (486) all_0_109_109 = e20 | all_0_110_110 = e20
% 15.54/4.19 |
% 15.54/4.19 +-Applying beta-rule and splitting (486), into two cases.
% 15.54/4.19 |-Branch one:
% 15.54/4.19 | (493) all_0_109_109 = e20
% 15.54/4.19 |
% 15.54/4.19 +-Applying beta-rule and splitting (40), into two cases.
% 15.54/4.19 |-Branch one:
% 15.54/4.19 | (1093) all_0_110_110 = e23
% 15.54/4.19 |
% 15.54/4.19 | Equations (1093) can reduce 1312 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (1312) ~ (all_0_110_110 = e23)
% 15.54/4.19 | (1351) all_0_110_110 = e22 | all_0_110_110 = e20
% 15.54/4.19 |
% 15.54/4.19 +-Applying beta-rule and splitting (1326), into two cases.
% 15.54/4.19 |-Branch one:
% 15.54/4.19 | (586) all_0_109_109 = e23
% 15.54/4.19 |
% 15.54/4.19 | Combining equations (493,586) yields a new equation:
% 15.54/4.19 | (476) e23 = e20
% 15.54/4.19 |
% 15.54/4.19 | Equations (476) can reduce 243 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (1081) ~ (all_0_109_109 = e23)
% 15.54/4.19 | (1093) all_0_110_110 = e23
% 15.54/4.19 |
% 15.54/4.19 | Equations (1093) can reduce 1312 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (502) ~ (all_0_109_109 = e20)
% 15.54/4.19 | (503) all_0_110_110 = e20
% 15.54/4.19 |
% 15.54/4.19 | Equations (503) can reduce 474 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (505) all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)
% 15.54/4.19 |
% 15.54/4.19 | Applying alpha-rule on (505) yields:
% 15.54/4.19 | (428) all_0_103_103 = e21
% 15.54/4.19 | (507) ~ (all_0_99_99 = e23)
% 15.54/4.19 | (508) ~ (all_0_105_105 = e23)
% 15.54/4.19 |
% 15.54/4.19 | Equations (428) can reduce 363 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (510) all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 15.54/4.19 |
% 15.54/4.19 | Applying alpha-rule on (510) yields:
% 15.54/4.19 | (432) all_0_104_104 = e21
% 15.54/4.19 | (512) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 15.54/4.19 |
% 15.54/4.19 | Combining equations (432,444) yields a new equation:
% 15.54/4.19 | (488) e21 = e20
% 15.54/4.19 |
% 15.54/4.19 | Simplifying 488 yields:
% 15.54/4.19 | (489) e21 = e20
% 15.54/4.19 |
% 15.54/4.19 | Equations (489) can reduce 300 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (515) all_0_108_108 = e20 & ~ (all_0_110_110 = e22)
% 15.54/4.19 |
% 15.54/4.19 | Applying alpha-rule on (515) yields:
% 15.54/4.19 | (481) all_0_108_108 = e20
% 15.54/4.19 | (517) ~ (all_0_110_110 = e22)
% 15.54/4.19 |
% 15.54/4.19 | Equations (481) can reduce 446 to:
% 15.54/4.19 | (420) $false
% 15.54/4.19 |
% 15.54/4.19 |-The branch is then unsatisfiable
% 15.54/4.19 |-Branch two:
% 15.54/4.19 | (521) all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 15.54/4.19 |
% 15.54/4.19 | Applying alpha-rule on (521) yields:
% 15.54/4.19 | (493) all_0_109_109 = e20
% 15.54/4.19 | (470) ~ (all_0_105_105 = e21)
% 15.54/4.19 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 15.54/4.19 |
% 15.54/4.20 | Equations (360) can reduce 470 to:
% 15.54/4.20 | (420) $false
% 15.54/4.20 |
% 15.54/4.20 |-The branch is then unsatisfiable
% 15.54/4.20 |-Branch two:
% 15.54/4.20 | (526) ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 15.54/4.20 |
% 15.54/4.20 | Applying alpha-rule on (526) yields:
% 15.54/4.20 | (470) ~ (all_0_105_105 = e21)
% 15.54/4.20 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 15.54/4.20 |
% 15.54/4.20 | Equations (360) can reduce 470 to:
% 15.54/4.20 | (420) $false
% 15.54/4.20 |
% 15.54/4.20 |-The branch is then unsatisfiable
% 15.54/4.20 |-Branch two:
% 15.54/4.20 | (530) ~ (all_0_104_104 = e20)
% 15.54/4.20 | (531) all_0_105_105 = e20 | all_0_106_106 = e20
% 15.54/4.20 |
% 15.54/4.20 +-Applying beta-rule and splitting (531), into two cases.
% 15.54/4.20 |-Branch one:
% 15.54/4.20 | (1139) all_0_105_105 = e20
% 15.54/4.20 |
% 15.54/4.20 | Combining equations (360,1139) yields a new equation:
% 15.54/4.20 | (488) e21 = e20
% 15.54/4.20 |
% 15.54/4.20 | Simplifying 488 yields:
% 15.54/4.20 | (489) e21 = e20
% 15.54/4.20 |
% 15.54/4.20 | Equations (489) can reduce 300 to:
% 15.54/4.20 | (420) $false
% 15.54/4.20 |
% 15.54/4.20 |-The branch is then unsatisfiable
% 15.54/4.20 |-Branch two:
% 15.54/4.20 | (1142) ~ (all_0_105_105 = e20)
% 15.54/4.20 | (555) all_0_106_106 = e20
% 15.54/4.20 |
% 15.54/4.20 | Equations (555) can reduce 222 to:
% 15.54/4.20 | (478) ~ (all_0_102_102 = e20)
% 15.54/4.20 |
% 15.54/4.20 | Equations (555) can reduce 332 to:
% 15.54/4.20 | (530) ~ (all_0_104_104 = e20)
% 15.54/4.20 |
% 15.54/4.20 | Equations (555) can reduce 66 to:
% 15.54/4.20 | (449) ~ (e21 = e20)
% 15.54/4.20 |
% 15.54/4.20 | Simplifying 449 yields:
% 15.54/4.20 | (300) ~ (e21 = e20)
% 15.54/4.20 |
% 15.54/4.20 | From (555) and (115) follows:
% 15.54/4.20 | (1397) op2(e21, e20) = e20
% 15.54/4.20 |
% 15.54/4.20 +-Applying beta-rule and splitting (291), into two cases.
% 15.54/4.20 |-Branch one:
% 15.54/4.20 | (541) all_0_103_103 = e23
% 15.54/4.20 |
% 15.54/4.20 | Equations (541) can reduce 226 to:
% 15.54/4.20 | (507) ~ (all_0_99_99 = e23)
% 15.54/4.20 |
% 15.54/4.20 | Equations (541) can reduce 102 to:
% 15.54/4.20 | (1400) ~ (all_0_104_104 = e23)
% 15.54/4.20 |
% 15.54/4.20 | Simplifying 1400 yields:
% 15.54/4.20 | (42) ~ (all_0_104_104 = e23)
% 15.54/4.20 |
% 15.54/4.20 | Equations (541) can reduce 363 to:
% 15.54/4.20 | (253) ~ (e23 = e21)
% 15.54/4.20 |
% 15.54/4.20 | From (541) and (138) follows:
% 15.54/4.20 | (1403) op2(e21, e23) = e23
% 15.54/4.20 |
% 15.54/4.20 +-Applying beta-rule and splitting (175), into two cases.
% 15.54/4.20 |-Branch one:
% 15.54/4.20 | (552) all_0_99_99 = e22
% 15.54/4.20 |
% 15.54/4.20 | Equations (552) can reduce 251 to:
% 15.54/4.20 | (1405) ~ (all_0_101_101 = e22)
% 15.54/4.20 |
% 15.54/4.20 | Simplifying 1405 yields:
% 15.54/4.20 | (130) ~ (all_0_101_101 = e22)
% 15.54/4.20 |
% 15.54/4.20 | Equations (552) can reduce 507 to:
% 15.54/4.20 | (1407) ~ (e23 = e22)
% 15.54/4.20 |
% 15.54/4.20 | Simplifying 1407 yields:
% 15.54/4.20 | (25) ~ (e23 = e22)
% 15.54/4.20 |
% 15.54/4.20 | Equations (552) can reduce 416 to:
% 15.54/4.20 | (224) ~ (e22 = e21)
% 15.54/4.20 |
% 15.54/4.20 | From (552) and (144) follows:
% 15.54/4.20 | (1410) h4(e13) = e22
% 15.54/4.20 |
% 15.54/4.20 | From (552) and (250) follows:
% 15.54/4.20 | (1411) op2(all_0_93_93, e22) = all_0_11_11
% 15.54/4.20 |
% 15.54/4.20 | From (552) and (153) follows:
% 15.54/4.20 | (1412) op2(all_0_94_94, e22) = all_0_19_19
% 15.54/4.20 |
% 15.54/4.20 | From (552) and (69) follows:
% 15.54/4.20 | (1413) op2(e22, all_0_93_93) = all_0_4_4
% 15.54/4.20 |
% 15.54/4.20 | From (552) and (176) follows:
% 15.54/4.20 | (1414) op2(e22, all_0_94_94) = all_0_6_6
% 15.54/4.20 |
% 15.54/4.20 | From (552)(552) and (116) follows:
% 15.54/4.20 | (1415) op2(e22, e22) = all_0_0_0
% 15.54/4.20 |
% 15.54/4.20 | From (552) and (33) follows:
% 15.54/4.20 | (1416) op2(e22, e23) = all_0_2_2
% 15.54/4.20 |
% 15.54/4.20 | From (552) and (196) follows:
% 15.54/4.20 | (1417) op2(e23, e22) = all_0_94_94
% 15.54/4.20 |
% 15.54/4.20 +-Applying beta-rule and splitting (293), into two cases.
% 15.54/4.20 |-Branch one:
% 15.54/4.20 | (487) all_0_100_100 = e20
% 15.54/4.20 |
% 15.54/4.20 | Combining equations (415,487) yields a new equation:
% 15.54/4.20 | (488) e21 = e20
% 15.54/4.20 |
% 15.54/4.20 | Simplifying 488 yields:
% 15.54/4.20 | (489) e21 = e20
% 15.54/4.20 |
% 15.54/4.20 | Equations (489) can reduce 300 to:
% 15.54/4.20 | (420) $false
% 15.54/4.20 |
% 15.54/4.20 |-The branch is then unsatisfiable
% 15.54/4.20 |-Branch two:
% 15.54/4.20 | (491) ~ (all_0_100_100 = e20)
% 15.54/4.20 | (1423) all_0_104_104 = e20 | all_0_108_108 = e20
% 15.54/4.20 |
% 15.54/4.20 +-Applying beta-rule and splitting (1423), into two cases.
% 15.54/4.20 |-Branch one:
% 15.54/4.20 | (444) all_0_104_104 = e20
% 15.54/4.20 |
% 15.54/4.20 | Equations (444) can reduce 530 to:
% 15.54/4.20 | (420) $false
% 15.54/4.20 |
% 15.54/4.20 |-The branch is then unsatisfiable
% 15.54/4.20 |-Branch two:
% 15.54/4.20 | (530) ~ (all_0_104_104 = e20)
% 15.54/4.20 | (481) all_0_108_108 = e20
% 15.54/4.20 |
% 15.54/4.20 | Equations (481) can reduce 198 to:
% 15.54/4.20 | (557) ~ (all_0_110_110 = e20)
% 15.54/4.20 |
% 15.54/4.20 | Simplifying 557 yields:
% 15.54/4.20 | (474) ~ (all_0_110_110 = e20)
% 15.54/4.20 |
% 15.54/4.20 | Equations (481) can reduce 334 to:
% 15.54/4.20 | (447) ~ (e23 = e20)
% 15.54/4.20 |
% 15.54/4.20 | Simplifying 447 yields:
% 15.54/4.20 | (243) ~ (e23 = e20)
% 15.54/4.20 |
% 15.54/4.20 | Equations (481) can reduce 1269 to:
% 15.54/4.20 | (449) ~ (e21 = e20)
% 15.54/4.20 |
% 15.54/4.20 | Simplifying 449 yields:
% 15.54/4.20 | (300) ~ (e21 = e20)
% 15.54/4.20 |
% 15.54/4.20 | From (481) and (75) follows:
% 15.54/4.20 | (1434) op2(e20, e22) = e20
% 15.54/4.20 |
% 15.54/4.20 +-Applying beta-rule and splitting (308), into two cases.
% 15.54/4.20 |-Branch one:
% 15.54/4.20 | (451) all_0_100_100 = e22
% 15.54/4.20 |
% 15.54/4.20 | Combining equations (451,415) yields a new equation:
% 15.54/4.20 | (1436) e22 = e21
% 15.54/4.20 |
% 15.54/4.20 | Simplifying 1436 yields:
% 15.54/4.20 | (452) e22 = e21
% 15.54/4.20 |
% 15.54/4.20 | Equations (452) can reduce 224 to:
% 15.54/4.20 | (420) $false
% 15.54/4.20 |
% 15.54/4.20 |-The branch is then unsatisfiable
% 15.54/4.20 |-Branch two:
% 15.54/4.20 | (454) ~ (all_0_100_100 = e22)
% 15.54/4.20 | (455) all_0_104_104 = e22 | all_0_108_108 = e22
% 15.54/4.20 |
% 15.54/4.20 +-Applying beta-rule and splitting (165), into two cases.
% 15.54/4.20 |-Branch one:
% 15.54/4.20 | (487) all_0_100_100 = e20
% 15.54/4.20 |
% 15.54/4.20 | Combining equations (487,415) yields a new equation:
% 15.54/4.20 | (489) e21 = e20
% 15.54/4.20 |
% 15.54/4.20 | Equations (489) can reduce 300 to:
% 15.54/4.20 | (420) $false
% 15.54/4.20 |
% 15.54/4.20 |-The branch is then unsatisfiable
% 15.54/4.20 |-Branch two:
% 15.54/4.20 | (491) ~ (all_0_100_100 = e20)
% 15.54/4.20 | (492) all_0_101_101 = e20 | all_0_102_102 = e20
% 15.54/4.20 |
% 15.54/4.20 +-Applying beta-rule and splitting (341), into two cases.
% 15.54/4.20 |-Branch one:
% 15.54/4.20 | (1113) all_0_103_103 = e22
% 15.54/4.20 |
% 15.54/4.20 | Combining equations (541,1113) yields a new equation:
% 15.54/4.21 | (1447) e23 = e22
% 15.54/4.21 |
% 15.54/4.21 | Simplifying 1447 yields:
% 15.54/4.21 | (1094) e23 = e22
% 15.54/4.21 |
% 15.54/4.21 | Equations (1094) can reduce 25 to:
% 15.54/4.21 | (420) $false
% 15.54/4.21 |
% 15.54/4.21 |-The branch is then unsatisfiable
% 15.54/4.21 |-Branch two:
% 15.54/4.21 | (536) ~ (all_0_103_103 = e22)
% 15.54/4.21 | (1451) all_0_104_104 = e22 | all_0_106_106 = e22
% 15.54/4.21 |
% 15.54/4.21 +-Applying beta-rule and splitting (181), into two cases.
% 15.54/4.21 |-Branch one:
% 15.54/4.21 | (495) all_0_101_101 = e20
% 15.54/4.21 |
% 15.54/4.21 | Equations (495) can reduce 112 to:
% 15.54/4.21 | (568) ~ (all_0_109_109 = e20)
% 15.54/4.21 |
% 15.54/4.21 | Simplifying 568 yields:
% 15.54/4.21 | (502) ~ (all_0_109_109 = e20)
% 15.54/4.21 |
% 15.54/4.21 | Equations (495) can reduce 130 to:
% 15.54/4.21 | (573) ~ (e22 = e20)
% 15.54/4.21 |
% 15.54/4.21 | Simplifying 573 yields:
% 15.54/4.21 | (122) ~ (e22 = e20)
% 15.54/4.21 |
% 15.54/4.21 | From (495) and (73) follows:
% 15.54/4.21 | (1457) op2(e23, e21) = e20
% 15.54/4.21 |
% 15.54/4.21 +-Applying beta-rule and splitting (263), into two cases.
% 15.54/4.21 |-Branch one:
% 15.54/4.21 | (468) all_0_101_101 = e23
% 15.54/4.21 |
% 15.54/4.21 | Combining equations (495,468) yields a new equation:
% 15.54/4.21 | (476) e23 = e20
% 15.54/4.21 |
% 15.54/4.21 | Equations (476) can reduce 243 to:
% 15.54/4.21 | (420) $false
% 15.54/4.21 |
% 15.54/4.21 |-The branch is then unsatisfiable
% 15.54/4.21 |-Branch two:
% 15.54/4.21 | (1461) ~ (all_0_101_101 = e23)
% 15.54/4.21 | (1462) all_0_105_105 = e23 | all_0_109_109 = e23
% 15.54/4.21 |
% 15.54/4.21 +-Applying beta-rule and splitting (1462), into two cases.
% 15.54/4.21 |-Branch one:
% 15.54/4.21 | (1463) all_0_105_105 = e23
% 15.54/4.21 |
% 15.54/4.21 | Combining equations (360,1463) yields a new equation:
% 15.54/4.21 | (1323) e23 = e21
% 15.54/4.21 |
% 15.54/4.21 | Equations (1323) can reduce 253 to:
% 15.54/4.21 | (420) $false
% 15.54/4.21 |
% 15.54/4.21 |-The branch is then unsatisfiable
% 15.54/4.21 |-Branch two:
% 15.54/4.21 | (508) ~ (all_0_105_105 = e23)
% 15.54/4.21 | (586) all_0_109_109 = e23
% 15.54/4.21 |
% 15.54/4.21 | Equations (586) can reduce 502 to:
% 15.54/4.21 | (243) ~ (e23 = e20)
% 15.54/4.21 |
% 15.54/4.21 | From (586) and (39) follows:
% 15.54/4.21 | (1469) op2(e20, e21) = e23
% 15.54/4.21 |
% 15.54/4.21 +-Applying beta-rule and splitting (101), into two cases.
% 15.54/4.21 |-Branch one:
% 15.54/4.21 | (473) all_0_102_102 = e23
% 15.54/4.21 |
% 15.54/4.21 | Equations (473) can reduce 43 to:
% 15.54/4.21 | (1311) ~ (all_0_110_110 = e23)
% 15.54/4.21 |
% 15.54/4.21 | Simplifying 1311 yields:
% 15.54/4.21 | (1312) ~ (all_0_110_110 = e23)
% 15.54/4.21 |
% 15.54/4.21 | From (473) and (129) follows:
% 15.54/4.21 | (1473) op2(e23, e20) = e23
% 15.54/4.21 |
% 15.54/4.21 +-Applying beta-rule and splitting (1451), into two cases.
% 15.54/4.21 |-Branch one:
% 15.54/4.21 | (456) all_0_104_104 = e22
% 15.54/4.21 |
% 15.54/4.21 | From (456) and (339) follows:
% 15.54/4.21 | (1475) op2(e21, e22) = e22
% 15.54/4.21 |
% 15.54/4.21 +-Applying beta-rule and splitting (40), into two cases.
% 15.54/4.21 |-Branch one:
% 15.54/4.21 | (1093) all_0_110_110 = e23
% 15.54/4.21 |
% 15.54/4.21 | Equations (1093) can reduce 1312 to:
% 15.54/4.21 | (420) $false
% 15.54/4.21 |
% 15.54/4.21 |-The branch is then unsatisfiable
% 15.54/4.21 |-Branch two:
% 15.54/4.21 | (1312) ~ (all_0_110_110 = e23)
% 15.54/4.21 | (1351) all_0_110_110 = e22 | all_0_110_110 = e20
% 15.54/4.21 |
% 15.54/4.21 +-Applying beta-rule and splitting (1351), into two cases.
% 15.54/4.21 |-Branch one:
% 15.54/4.21 | (503) all_0_110_110 = e20
% 15.54/4.21 |
% 15.54/4.21 | Equations (503) can reduce 474 to:
% 15.54/4.21 | (420) $false
% 15.54/4.21 |
% 15.54/4.21 |-The branch is then unsatisfiable
% 15.54/4.21 |-Branch two:
% 15.54/4.21 | (474) ~ (all_0_110_110 = e20)
% 15.54/4.21 | (583) all_0_110_110 = e22
% 15.54/4.21 |
% 15.54/4.21 | From (583) and (35) follows:
% 15.54/4.21 | (1484) op2(all_0_98_98, e22) = all_0_85_85
% 15.54/4.21 |
% 15.54/4.21 | From (583) and (150) follows:
% 15.54/4.21 | (1485) op2(e22, all_0_98_98) = all_0_72_72
% 15.54/4.21 |
% 15.54/4.21 | From (583)(583) and (345) follows:
% 15.54/4.21 | (1486) op2(e22, e22) = all_0_66_66
% 15.54/4.21 |
% 15.54/4.21 | From (583) and (67) follows:
% 15.54/4.21 | (1487) op2(e22, e20) = all_0_68_68
% 15.54/4.21 |
% 15.54/4.21 | From (583) and (126) follows:
% 15.54/4.21 | (1488) op2(e20, e22) = all_0_98_98
% 15.54/4.21 |
% 15.54/4.21 | From (583) and (8) follows:
% 15.54/4.21 | (1489) op2(e20, e20) = e22
% 15.54/4.21 |
% 15.54/4.21 | Instantiating formula (30) with e23, e22, all_0_94_94, e21 and discharging atoms op2(e23, e22) = all_0_94_94, op2(e23, e22) = e21, yields:
% 15.54/4.21 | (1490) all_0_94_94 = e21
% 15.54/4.21 |
% 15.54/4.21 | Instantiating formula (30) with e22, e23, all_0_2_2, e20 and discharging atoms op2(e22, e23) = all_0_2_2, op2(e22, e23) = e20, yields:
% 15.54/4.21 | (1491) all_0_2_2 = e20
% 15.54/4.21 |
% 15.54/4.21 | Instantiating formula (30) with e22, e22, all_0_0_0, e23 and discharging atoms op2(e22, e22) = all_0_0_0, op2(e22, e22) = e23, yields:
% 15.54/4.21 | (1492) all_0_0_0 = e23
% 15.54/4.21 |
% 15.54/4.21 | Instantiating formula (30) with e22, e22, all_0_66_66, all_0_0_0 and discharging atoms op2(e22, e22) = all_0_0_0, op2(e22, e22) = all_0_66_66, yields:
% 15.54/4.21 | (1493) all_0_0_0 = all_0_66_66
% 15.54/4.21 |
% 15.54/4.21 | Instantiating formula (30) with e22, e20, all_0_68_68, e21 and discharging atoms op2(e22, e20) = all_0_68_68, op2(e22, e20) = e21, yields:
% 15.54/4.21 | (1494) all_0_68_68 = e21
% 15.54/4.21 |
% 15.54/4.21 | Instantiating formula (30) with e20, e22, e20, all_0_98_98 and discharging atoms op2(e20, e22) = all_0_98_98, op2(e20, e22) = e20, yields:
% 15.54/4.21 | (1495) all_0_98_98 = e20
% 15.54/4.21 |
% 15.54/4.21 | Combining equations (1492,1493) yields a new equation:
% 15.54/4.21 | (1496) all_0_66_66 = e23
% 15.54/4.21 |
% 15.54/4.21 | Combining equations (1490,1238) yields a new equation:
% 15.54/4.21 | (1497) all_0_26_26 = e21
% 15.54/4.21 |
% 15.54/4.22 | Combining equations (1490,1237) yields a new equation:
% 15.54/4.22 | (1498) all_0_14_14 = e21
% 15.54/4.22 |
% 15.54/4.22 | Combining equations (1490,348) yields a new equation:
% 15.54/4.22 | (1499) all_0_8_8 = e21
% 15.54/4.22 |
% 15.54/4.22 | Combining equations (1490,1233) yields a new equation:
% 15.54/4.22 | (1500) all_0_5_5 = e21
% 15.54/4.22 |
% 15.54/4.22 | Combining equations (1496,1493) yields a new equation:
% 15.54/4.22 | (1492) all_0_0_0 = e23
% 15.54/4.22 |
% 15.54/4.22 | From (1490) and (164) follows:
% 15.54/4.22 | (1502) op2(all_0_93_93, e21) = all_0_17_17
% 15.54/4.22 |
% 15.54/4.22 | From (1490) and (107) follows:
% 15.54/4.22 | (1503) op2(e21, all_0_93_93) = all_0_23_23
% 15.54/4.22 |
% 15.54/4.22 | From (1490)(1490) and (338) follows:
% 15.54/4.22 | (1504) op2(e21, e21) = all_0_25_25
% 15.54/4.22 |
% 15.54/4.22 | From (1490) and (65) follows:
% 15.54/4.22 | (1505) op2(e21, e23) = all_0_21_21
% 15.54/4.22 |
% 15.54/4.22 | From (1490) and (1412) follows:
% 15.54/4.22 | (1506) op2(e21, e22) = all_0_19_19
% 15.54/4.22 |
% 15.54/4.22 | From (1495) and (178) follows:
% 15.54/4.22 | (1507) op2(all_0_97_97, e20) = all_0_83_83
% 15.54/4.22 |
% 15.54/4.22 | From (1495) and (227) follows:
% 15.54/4.22 | (1508) op2(e20, all_0_97_97) = all_0_89_89
% 15.54/4.22 |
% 15.54/4.22 | From (1495)(1495) and (282) follows:
% 15.54/4.22 | (1509) op2(e20, e20) = all_0_91_91
% 15.54/4.22 |
% 15.54/4.22 | From (1495) and (1484) follows:
% 15.54/4.22 | (1510) op2(e20, e22) = all_0_85_85
% 15.54/4.22 |
% 15.54/4.22 | From (1495) and (81) follows:
% 15.54/4.22 | (1511) op2(e20, e20) = all_0_87_87
% 15.54/4.22 |
% 15.54/4.22 | From (1490) and (223) follows:
% 15.54/4.22 | (1512) op2(e23, e21) = all_0_93_93
% 15.54/4.22 |
% 15.54/4.22 | From (1490) and (1414) follows:
% 15.54/4.22 | (1513) op2(e22, e21) = all_0_6_6
% 15.54/4.22 |
% 15.54/4.22 | From (1495) and (1485) follows:
% 15.54/4.22 | (1514) op2(e22, e20) = all_0_72_72
% 15.54/4.22 |
% 15.54/4.22 | From (1494) and (1487) follows:
% 15.54/4.22 | (87) op2(e22, e20) = e21
% 15.54/4.22 |
% 15.54/4.22 | From (1495) and (137) follows:
% 15.54/4.22 | (1516) op2(e20, e20) = all_0_97_97
% 15.54/4.22 |
% 15.54/4.22 | From (1495) and (1488) follows:
% 15.54/4.22 | (1434) op2(e20, e22) = e20
% 15.54/4.22 |
% 15.54/4.22 | Instantiating formula (30) with e23, e21, all_0_93_93, e20 and discharging atoms op2(e23, e21) = all_0_93_93, op2(e23, e21) = e20, yields:
% 15.54/4.22 | (1518) all_0_93_93 = e20
% 15.54/4.22 |
% 15.54/4.22 | Instantiating formula (30) with e22, e21, all_0_6_6, e22 and discharging atoms op2(e22, e21) = all_0_6_6, op2(e22, e21) = e22, yields:
% 15.54/4.22 | (1519) all_0_6_6 = e22
% 15.54/4.22 |
% 15.54/4.22 | Instantiating formula (30) with e22, e20, all_0_72_72, e21 and discharging atoms op2(e22, e20) = all_0_72_72, op2(e22, e20) = e21, yields:
% 15.54/4.22 | (1520) all_0_72_72 = e21
% 15.54/4.22 |
% 15.54/4.22 | Instantiating formula (30) with e21, e23, all_0_21_21, e23 and discharging atoms op2(e21, e23) = all_0_21_21, op2(e21, e23) = e23, yields:
% 15.54/4.22 | (1521) all_0_21_21 = e23
% 15.54/4.22 |
% 15.54/4.22 | Instantiating formula (30) with e21, e22, all_0_19_19, e22 and discharging atoms op2(e21, e22) = all_0_19_19, op2(e21, e22) = e22, yields:
% 15.54/4.22 | (1522) all_0_19_19 = e22
% 15.54/4.22 |
% 15.54/4.22 | Instantiating formula (30) with e21, e21, all_0_25_25, e21 and discharging atoms op2(e21, e21) = all_0_25_25, op2(e21, e21) = e21, yields:
% 15.54/4.22 | (1523) all_0_25_25 = e21
% 15.54/4.22 |
% 15.54/4.22 | Instantiating formula (30) with e20, e22, all_0_85_85, e20 and discharging atoms op2(e20, e22) = all_0_85_85, op2(e20, e22) = e20, yields:
% 15.54/4.22 | (1524) all_0_85_85 = e20
% 15.54/4.22 |
% 15.54/4.22 | Instantiating formula (30) with e20, e20, all_0_87_87, e22 and discharging atoms op2(e20, e20) = all_0_87_87, op2(e20, e20) = e22, yields:
% 15.54/4.22 | (1525) all_0_87_87 = e22
% 15.54/4.22 |
% 15.54/4.22 | Instantiating formula (30) with e20, e20, all_0_91_91, all_0_87_87 and discharging atoms op2(e20, e20) = all_0_87_87, op2(e20, e20) = all_0_91_91, yields:
% 15.54/4.22 | (1526) all_0_87_87 = all_0_91_91
% 15.54/4.22 |
% 15.54/4.22 | Instantiating formula (30) with e20, e20, all_0_97_97, all_0_87_87 and discharging atoms op2(e20, e20) = all_0_87_87, op2(e20, e20) = all_0_97_97, yields:
% 15.54/4.22 | (1527) all_0_87_87 = all_0_97_97
% 15.54/4.22 |
% 15.54/4.22 | Combining equations (1525,1526) yields a new equation:
% 15.54/4.22 | (1528) all_0_91_91 = e22
% 15.54/4.22 |
% 15.54/4.22 | Combining equations (1527,1526) yields a new equation:
% 15.54/4.23 | (1529) all_0_91_91 = all_0_97_97
% 15.54/4.23 |
% 15.54/4.23 | Combining equations (1528,1529) yields a new equation:
% 15.54/4.23 | (1530) all_0_97_97 = e22
% 15.54/4.23 |
% 15.54/4.23 | Combining equations (1518,347) yields a new equation:
% 15.54/4.23 | (1531) all_0_10_10 = e20
% 15.54/4.23 |
% 15.54/4.23 | From (1518) and (280) follows:
% 15.54/4.23 | (1532) h4(e11) = e20
% 15.54/4.23 |
% 15.54/4.23 | From (1518)(1518) and (44) follows:
% 15.54/4.23 | (1533) op2(e20, e20) = all_0_15_15
% 15.54/4.23 |
% 15.54/4.23 | From (1518) and (214) follows:
% 15.54/4.23 | (1534) op2(e20, e23) = all_0_13_13
% 15.54/4.23 |
% 15.54/4.23 | From (1518) and (1411) follows:
% 15.54/4.23 | (1535) op2(e20, e22) = all_0_11_11
% 15.54/4.23 |
% 15.54/4.23 | From (1518) and (1502) follows:
% 15.54/4.23 | (1536) op2(e20, e21) = all_0_17_17
% 15.54/4.23 |
% 15.54/4.23 | From (1530) and (1507) follows:
% 15.54/4.23 | (1537) op2(e22, e20) = all_0_83_83
% 15.54/4.23 |
% 15.54/4.23 | From (1518) and (109) follows:
% 15.54/4.23 | (1538) op2(e23, e20) = all_0_9_9
% 15.54/4.23 |
% 15.54/4.23 | From (1518) and (1413) follows:
% 15.54/4.23 | (1539) op2(e22, e20) = all_0_4_4
% 15.54/4.23 |
% 15.54/4.23 | From (1520) and (1514) follows:
% 15.54/4.23 | (87) op2(e22, e20) = e21
% 15.54/4.23 |
% 15.54/4.23 | From (1518) and (1503) follows:
% 15.54/4.23 | (1541) op2(e21, e20) = all_0_23_23
% 15.54/4.23 |
% 15.54/4.23 | From (1530) and (1508) follows:
% 15.54/4.23 | (1542) op2(e20, e22) = all_0_89_89
% 15.54/4.23 |
% 15.54/4.23 | From (1524) and (1510) follows:
% 15.54/4.23 | (1434) op2(e20, e22) = e20
% 15.54/4.23 |
% 15.54/4.23 | From (1530) and (1516) follows:
% 15.54/4.23 | (1489) op2(e20, e20) = e22
% 15.54/4.23 |
% 15.54/4.23 | Instantiating formula (30) with e23, e20, all_0_9_9, e23 and discharging atoms op2(e23, e20) = all_0_9_9, op2(e23, e20) = e23, yields:
% 15.54/4.23 | (1545) all_0_9_9 = e23
% 15.54/4.23 |
% 15.54/4.23 | Instantiating formula (30) with e22, e20, all_0_4_4, e21 and discharging atoms op2(e22, e20) = all_0_4_4, op2(e22, e20) = e21, yields:
% 15.54/4.23 | (1546) all_0_4_4 = e21
% 15.54/4.23 |
% 15.54/4.23 | Instantiating formula (30) with e22, e20, all_0_83_83, all_0_4_4 and discharging atoms op2(e22, e20) = all_0_4_4, op2(e22, e20) = all_0_83_83, yields:
% 15.54/4.23 | (1547) all_0_4_4 = all_0_83_83
% 15.54/4.23 |
% 15.54/4.23 | Instantiating formula (30) with e21, e20, all_0_23_23, e20 and discharging atoms op2(e21, e20) = all_0_23_23, op2(e21, e20) = e20, yields:
% 15.54/4.23 | (1548) all_0_23_23 = e20
% 15.54/4.23 |
% 15.54/4.23 | Instantiating formula (30) with e20, e23, all_0_13_13, e21 and discharging atoms op2(e20, e23) = all_0_13_13, op2(e20, e23) = e21, yields:
% 15.54/4.23 | (1549) all_0_13_13 = e21
% 15.54/4.23 |
% 15.54/4.23 | Instantiating formula (30) with e20, e22, all_0_11_11, e20 and discharging atoms op2(e20, e22) = all_0_11_11, op2(e20, e22) = e20, yields:
% 15.54/4.23 | (1550) all_0_11_11 = e20
% 15.54/4.23 |
% 15.54/4.23 | Instantiating formula (30) with e20, e22, all_0_89_89, all_0_11_11 and discharging atoms op2(e20, e22) = all_0_11_11, op2(e20, e22) = all_0_89_89, yields:
% 15.54/4.23 | (1551) all_0_11_11 = all_0_89_89
% 15.54/4.23 |
% 15.54/4.23 | Instantiating formula (30) with e20, e21, all_0_17_17, e23 and discharging atoms op2(e20, e21) = all_0_17_17, op2(e20, e21) = e23, yields:
% 15.54/4.23 | (1552) all_0_17_17 = e23
% 15.54/4.23 |
% 15.54/4.23 | Instantiating formula (30) with e20, e20, all_0_15_15, e22 and discharging atoms op2(e20, e20) = all_0_15_15, op2(e20, e20) = e22, yields:
% 15.54/4.23 | (1553) all_0_15_15 = e22
% 15.54/4.23 |
% 15.54/4.23 | Combining equations (1546,1547) yields a new equation:
% 15.54/4.23 | (1554) all_0_83_83 = e21
% 15.54/4.23 |
% 15.54/4.23 | Combining equations (1550,1551) yields a new equation:
% 15.54/4.23 | (1555) all_0_89_89 = e20
% 15.54/4.23 |
% 15.54/4.23 | Combining equations (1555,1551) yields a new equation:
% 15.54/4.23 | (1550) all_0_11_11 = e20
% 15.54/4.23 |
% 15.54/4.23 | Combining equations (1554,1547) yields a new equation:
% 15.54/4.23 | (1546) all_0_4_4 = e21
% 15.54/4.23 |
% 15.54/4.23 +-Applying beta-rule and splitting (215), into two cases.
% 15.54/4.23 |-Branch one:
% 15.54/4.23 | (593) all_0_112_112 = e11
% 15.54/4.23 |
% 15.54/4.23 | Equations (593) can reduce 95 to:
% 15.54/4.23 | (609) ~ (all_0_111_111 = e11)
% 15.54/4.23 |
% 15.54/4.23 | Equations (593) can reduce 234 to:
% 15.54/4.23 | (1560) ~ (all_0_114_114 = e11)
% 15.54/4.23 |
% 15.54/4.23 | Simplifying 1560 yields:
% 15.54/4.23 | (108) ~ (all_0_114_114 = e11)
% 15.54/4.23 |
% 15.54/4.23 | Equations (593) can reduce 41 to:
% 15.54/4.23 | (669) ~ (all_0_120_120 = e11)
% 15.54/4.23 |
% 15.54/4.23 | Simplifying 669 yields:
% 15.54/4.23 | (670) ~ (all_0_120_120 = e11)
% 15.54/4.23 |
% 15.54/4.23 | Equations (593) can reduce 276 to:
% 15.54/4.23 | (1564) ~ (e13 = e11)
% 15.54/4.23 |
% 15.54/4.23 | Simplifying 1564 yields:
% 15.54/4.23 | (323) ~ (e13 = e11)
% 15.54/4.23 |
% 15.54/4.23 | From (593) and (190) follows:
% 15.54/4.23 | (1566) h4(e11) = all_0_3_3
% 15.54/4.23 |
% 15.54/4.23 +-Applying beta-rule and splitting (119), into two cases.
% 15.54/4.23 |-Branch one:
% 15.54/4.23 | (600) all_0_120_120 = e11
% 15.54/4.23 |
% 15.54/4.23 | Equations (600) can reduce 670 to:
% 15.54/4.23 | (420) $false
% 15.54/4.23 |
% 15.54/4.23 |-The branch is then unsatisfiable
% 15.54/4.23 |-Branch two:
% 15.54/4.24 | (670) ~ (all_0_120_120 = e11)
% 15.54/4.24 | (687) all_0_120_120 = e12 | all_0_120_120 = e10
% 15.54/4.24 |
% 15.54/4.24 +-Applying beta-rule and splitting (255), into two cases.
% 15.54/4.24 |-Branch one:
% 15.54/4.24 | (959) all_0_112_112 = e12
% 15.54/4.24 |
% 15.54/4.24 | Combining equations (593,959) yields a new equation:
% 15.54/4.24 | (961) e12 = e11
% 15.54/4.24 |
% 15.54/4.24 | Equations (961) can reduce 290 to:
% 15.54/4.24 | (420) $false
% 15.54/4.24 |
% 15.54/4.24 |-The branch is then unsatisfiable
% 15.54/4.24 |-Branch two:
% 15.54/4.24 | (963) ~ (all_0_112_112 = e12)
% 15.54/4.24 | (964) all_0_116_116 = e12 | all_0_120_120 = e12
% 15.54/4.24 |
% 15.54/4.24 +-Applying beta-rule and splitting (964), into two cases.
% 15.54/4.24 |-Branch one:
% 15.54/4.24 | (756) all_0_116_116 = e12
% 15.54/4.24 |
% 15.54/4.24 | Combining equations (745,756) yields a new equation:
% 15.54/4.24 | (821) e12 = e10
% 15.54/4.24 |
% 15.54/4.24 | Equations (821) can reduce 148 to:
% 15.54/4.24 | (420) $false
% 15.54/4.24 |
% 15.54/4.24 |-The branch is then unsatisfiable
% 15.54/4.24 |-Branch two:
% 15.54/4.24 | (1579) ~ (all_0_116_116 = e12)
% 15.54/4.24 | (1580) all_0_120_120 = e12
% 15.54/4.24 |
% 15.54/4.24 | Equations (1580) can reduce 337 to:
% 15.92/4.24 | (1581) ~ (all_0_119_119 = e12)
% 15.92/4.24 |
% 15.92/4.24 | Equations (1580) can reduce 670 to:
% 15.92/4.24 | (290) ~ (e12 = e11)
% 15.92/4.24 |
% 15.92/4.24 | Equations (1580) can reduce 823 to:
% 15.92/4.24 | (148) ~ (e12 = e10)
% 15.92/4.24 |
% 15.92/4.24 | From (1580) and (168) follows:
% 15.92/4.24 | (1584) h4(e12) = all_0_22_22
% 15.92/4.24 |
% 15.92/4.24 | Instantiating formula (346) with e12, all_0_22_22, e23 and discharging atoms h4(e12) = all_0_22_22, h4(e12) = e23, yields:
% 15.92/4.24 | (1585) all_0_22_22 = e23
% 15.92/4.24 |
% 15.92/4.24 | Instantiating formula (346) with e11, all_0_3_3, e20 and discharging atoms h4(e11) = all_0_3_3, h4(e11) = e20, yields:
% 15.92/4.24 | (1586) all_0_3_3 = e20
% 15.92/4.24 |
% 15.92/4.24 | From (1585) and (1584) follows:
% 15.92/4.24 | (70) h4(e12) = e23
% 15.92/4.24 |
% 15.92/4.24 | From (1586) and (1566) follows:
% 15.92/4.24 | (1532) h4(e11) = e20
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (174), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (626) all_0_115_115 = e11
% 15.92/4.24 |
% 15.92/4.24 | Equations (626) can reduce 218 to:
% 15.92/4.24 | (609) ~ (all_0_111_111 = e11)
% 15.92/4.24 |
% 15.92/4.24 | Equations (626) can reduce 27 to:
% 15.92/4.24 | (1591) ~ (all_0_119_119 = e11)
% 15.92/4.24 |
% 15.92/4.24 | Simplifying 1591 yields:
% 15.92/4.24 | (1592) ~ (all_0_119_119 = e11)
% 15.92/4.24 |
% 15.92/4.24 | From (626) and (313) follows:
% 15.92/4.24 | (1593) h4(e11) = all_0_12_12
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (157), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (657) all_0_119_119 = e11
% 15.92/4.24 |
% 15.92/4.24 | Equations (657) can reduce 1592 to:
% 15.92/4.24 | (420) $false
% 15.92/4.24 |
% 15.92/4.24 |-The branch is then unsatisfiable
% 15.92/4.24 |-Branch two:
% 15.92/4.24 | (1592) ~ (all_0_119_119 = e11)
% 15.92/4.24 | (1597) all_0_119_119 = e13 | all_0_119_119 = e12
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (1597), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (1598) all_0_119_119 = e13
% 15.92/4.24 |
% 15.92/4.24 | Equations (1598) can reduce 173 to:
% 15.92/4.24 | (627) ~ (all_0_111_111 = e13)
% 15.92/4.24 |
% 15.92/4.24 | Equations (1598) can reduce 1592 to:
% 15.92/4.24 | (323) ~ (e13 = e11)
% 15.92/4.24 |
% 15.92/4.24 | From (1598) and (52) follows:
% 15.92/4.24 | (1601) h4(e13) = all_0_20_20
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (94), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (680) all_0_121_121 = e11
% 15.92/4.24 |
% 15.92/4.24 | From (680) and (93) follows:
% 15.92/4.24 | (1603) h4(e11) = all_0_24_24
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (187), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (587) all_0_111_111 = e11
% 15.92/4.24 |
% 15.92/4.24 | Equations (587) can reduce 609 to:
% 15.92/4.24 | (420) $false
% 15.92/4.24 |
% 15.92/4.24 |-The branch is then unsatisfiable
% 15.92/4.24 |-Branch two:
% 15.92/4.24 | (609) ~ (all_0_111_111 = e11)
% 15.92/4.24 | (691) all_0_111_111 = e13 | all_0_111_111 = e12
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (691), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (880) all_0_111_111 = e13
% 15.92/4.24 |
% 15.92/4.24 | Equations (880) can reduce 627 to:
% 15.92/4.24 | (420) $false
% 15.92/4.24 |
% 15.92/4.24 |-The branch is then unsatisfiable
% 15.92/4.24 |-Branch two:
% 15.92/4.24 | (627) ~ (all_0_111_111 = e13)
% 15.92/4.24 | (700) all_0_111_111 = e12
% 15.92/4.24 |
% 15.92/4.24 | Equations (700) can reduce 287 to:
% 15.92/4.24 | (1612) ~ (all_0_114_114 = e12)
% 15.92/4.24 |
% 15.92/4.24 | Simplifying 1612 yields:
% 15.92/4.24 | (1613) ~ (all_0_114_114 = e12)
% 15.92/4.24 |
% 15.92/4.24 | Equations (700) can reduce 333 to:
% 15.92/4.24 | (148) ~ (e12 = e10)
% 15.92/4.24 |
% 15.92/4.24 | From (700) and (216) follows:
% 15.92/4.24 | (1615) h4(e12) = all_0_1_1
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (252), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (613) all_0_114_114 = e13
% 15.92/4.24 |
% 15.92/4.24 | Equations (613) can reduce 1613 to:
% 15.92/4.24 | (261) ~ (e13 = e12)
% 15.92/4.24 |
% 15.92/4.24 | Equations (613) can reduce 108 to:
% 15.92/4.24 | (323) ~ (e13 = e11)
% 15.92/4.24 |
% 15.92/4.24 | Equations (613) can reduce 737 to:
% 15.92/4.24 | (179) ~ (e13 = e10)
% 15.92/4.24 |
% 15.92/4.24 | From (613) and (133) follows:
% 15.92/4.24 | (1620) h4(e13) = all_0_7_7
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (297), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (704) all_0_115_115 = e13
% 15.92/4.24 |
% 15.92/4.24 | Combining equations (704,626) yields a new equation:
% 15.92/4.24 | (1622) e13 = e11
% 15.92/4.24 |
% 15.92/4.24 | Simplifying 1622 yields:
% 15.92/4.24 | (850) e13 = e11
% 15.92/4.24 |
% 15.92/4.24 | Equations (850) can reduce 323 to:
% 15.92/4.24 | (420) $false
% 15.92/4.24 |
% 15.92/4.24 |-The branch is then unsatisfiable
% 15.92/4.24 |-Branch two:
% 15.92/4.24 | (951) ~ (all_0_115_115 = e13)
% 15.92/4.24 | (1626) all_0_117_117 = e13 | all_0_118_118 = e13
% 15.92/4.24 |
% 15.92/4.24 | Equations (626) can reduce 951 to:
% 15.92/4.24 | (1564) ~ (e13 = e11)
% 15.92/4.24 |
% 15.92/4.24 | Simplifying 1564 yields:
% 15.92/4.24 | (323) ~ (e13 = e11)
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (319), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (1629) all_0_114_114 = e12
% 15.92/4.24 |
% 15.92/4.24 | Combining equations (613,1629) yields a new equation:
% 15.92/4.24 | (881) e13 = e12
% 15.92/4.24 |
% 15.92/4.24 | Simplifying 881 yields:
% 15.92/4.24 | (882) e13 = e12
% 15.92/4.24 |
% 15.92/4.24 | Equations (882) can reduce 261 to:
% 15.92/4.24 | (420) $false
% 15.92/4.24 |
% 15.92/4.24 |-The branch is then unsatisfiable
% 15.92/4.24 |-Branch two:
% 15.92/4.24 | (1613) ~ (all_0_114_114 = e12)
% 15.92/4.24 | (1634) all_0_118_118 = e12 | all_0_122_122 = e12
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (320), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (608) all_0_113_113 = e13
% 15.92/4.24 |
% 15.92/4.24 | Combining equations (718,608) yields a new equation:
% 15.92/4.24 | (735) e13 = e10
% 15.92/4.24 |
% 15.92/4.24 | Equations (735) can reduce 179 to:
% 15.92/4.24 | (420) $false
% 15.92/4.24 |
% 15.92/4.24 |-The branch is then unsatisfiable
% 15.92/4.24 |-Branch two:
% 15.92/4.24 | (615) ~ (all_0_113_113 = e13)
% 15.92/4.24 | (619) all_0_117_117 = e13 | all_0_121_121 = e13
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (1634), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (1640) all_0_118_118 = e12
% 15.92/4.24 |
% 15.92/4.24 | From (1640) and (131) follows:
% 15.92/4.24 | (1641) h4(e12) = all_0_18_18
% 15.92/4.24 |
% 15.92/4.24 +-Applying beta-rule and splitting (619), into two cases.
% 15.92/4.24 |-Branch one:
% 15.92/4.24 | (978) all_0_117_117 = e13
% 15.92/4.24 |
% 15.92/4.24 | From (978) and (111) follows:
% 15.92/4.24 | (1643) h4(e13) = all_0_16_16
% 15.92/4.24 |
% 15.92/4.24 | Instantiating formula (346) with e13, all_0_7_7, e22 and discharging atoms h4(e13) = all_0_7_7, h4(e13) = e22, yields:
% 15.92/4.24 | (1644) all_0_7_7 = e22
% 15.92/4.24 |
% 15.92/4.24 | Instantiating formula (346) with e13, all_0_16_16, all_0_7_7 and discharging atoms h4(e13) = all_0_7_7, h4(e13) = all_0_16_16, yields:
% 15.92/4.24 | (1645) all_0_7_7 = all_0_16_16
% 15.92/4.24 |
% 15.92/4.24 | Instantiating formula (346) with e13, all_0_20_20, all_0_7_7 and discharging atoms h4(e13) = all_0_7_7, h4(e13) = all_0_20_20, yields:
% 15.92/4.24 | (1646) all_0_7_7 = all_0_20_20
% 15.92/4.24 |
% 15.92/4.24 | Instantiating formula (346) with e12, all_0_1_1, e23 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = e23, yields:
% 15.92/4.24 | (1647) all_0_1_1 = e23
% 15.92/4.24 |
% 15.92/4.24 | Instantiating formula (346) with e12, all_0_18_18, all_0_1_1 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = all_0_18_18, yields:
% 15.92/4.24 | (1648) all_0_1_1 = all_0_18_18
% 15.92/4.24 |
% 15.92/4.24 | Instantiating formula (346) with e11, all_0_12_12, e20 and discharging atoms h4(e11) = all_0_12_12, h4(e11) = e20, yields:
% 15.92/4.24 | (1649) all_0_12_12 = e20
% 15.92/4.24 |
% 15.92/4.24 | Instantiating formula (346) with e11, all_0_24_24, all_0_12_12 and discharging atoms h4(e11) = all_0_12_12, h4(e11) = all_0_24_24, yields:
% 15.92/4.24 | (1650) all_0_12_12 = all_0_24_24
% 15.92/4.24 |
% 15.92/4.24 | Combining equations (1647,1648) yields a new equation:
% 15.92/4.24 | (1651) all_0_18_18 = e23
% 15.92/4.24 |
% 15.92/4.24 | Combining equations (1646,1645) yields a new equation:
% 15.92/4.24 | (1652) all_0_16_16 = all_0_20_20
% 15.92/4.24 |
% 15.92/4.24 | Combining equations (1644,1645) yields a new equation:
% 15.92/4.24 | (1653) all_0_16_16 = e22
% 15.92/4.24 |
% 15.92/4.24 | Combining equations (1649,1650) yields a new equation:
% 15.92/4.24 | (1654) all_0_24_24 = e20
% 15.92/4.24 |
% 15.92/4.24 | Combining equations (1652,1653) yields a new equation:
% 15.92/4.24 | (1655) all_0_20_20 = e22
% 15.92/4.24 |
% 15.92/4.24 | Simplifying 1655 yields:
% 15.92/4.24 | (1656) all_0_20_20 = e22
% 15.92/4.24 |
% 15.92/4.24 | Combining equations (1654,1650) yields a new equation:
% 15.92/4.24 | (1649) all_0_12_12 = e20
% 15.92/4.24 |
% 15.92/4.24 | Combining equations (1653,1645) yields a new equation:
% 15.92/4.25 | (1644) all_0_7_7 = e22
% 15.92/4.25 |
% 15.92/4.25 | Combining equations (1651,1648) yields a new equation:
% 15.92/4.25 | (1647) all_0_1_1 = e23
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (304), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1660) ~ (all_0_9_9 = e23)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1545) can reduce 1660 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1545) all_0_9_9 = e23
% 15.92/4.25 | (1663) ~ (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_94_94) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1663), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1664) ~ (all_0_0_0 = all_0_1_1)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1492,1647) can reduce 1664 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1666) all_0_0_0 = all_0_1_1
% 15.92/4.25 | (1667) ~ (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_94_94) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1667), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1668) ~ (all_0_2_2 = all_0_3_3)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1491,1586) can reduce 1668 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1670) all_0_2_2 = all_0_3_3
% 15.92/4.25 | (1671) ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_94_94) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1671), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1672) ~ (all_0_4_4 = all_0_5_5)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1546,1500) can reduce 1672 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1674) all_0_4_4 = all_0_5_5
% 15.92/4.25 | (1675) ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_94_94) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1675), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1676) ~ (all_0_6_6 = all_0_7_7)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1519,1644) can reduce 1676 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1678) all_0_6_6 = all_0_7_7
% 15.92/4.25 | (1679) ~ (all_0_8_8 = all_0_94_94) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1679), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1680) ~ (all_0_8_8 = all_0_94_94)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1499,1490) can reduce 1680 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (348) all_0_8_8 = all_0_94_94
% 15.92/4.25 | (1683) ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 | Combining equations (348,1499) yields a new equation:
% 15.92/4.25 | (1684) all_0_94_94 = e21
% 15.92/4.25 |
% 15.92/4.25 | Simplifying 1684 yields:
% 15.92/4.25 | (1490) all_0_94_94 = e21
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1683), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1686) ~ (all_0_10_10 = all_0_93_93)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1531,1518) can reduce 1686 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (347) all_0_10_10 = all_0_93_93
% 15.92/4.25 | (1689) ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 | Combining equations (1531,347) yields a new equation:
% 15.92/4.25 | (1518) all_0_93_93 = e20
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1689), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1691) ~ (all_0_11_11 = all_0_12_12)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1550,1649) can reduce 1691 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1693) all_0_11_11 = all_0_12_12
% 15.92/4.25 | (1694) ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1694), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1695) ~ (all_0_13_13 = all_0_14_14)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1549,1498) can reduce 1695 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1697) all_0_13_13 = all_0_14_14
% 15.92/4.25 | (1698) ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1698), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1699) ~ (all_0_15_15 = all_0_16_16)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1553,1653) can reduce 1699 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1701) all_0_15_15 = all_0_16_16
% 15.92/4.25 | (1702) ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1702), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1703) ~ (all_0_17_17 = all_0_18_18)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1552,1651) can reduce 1703 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1705) all_0_17_17 = all_0_18_18
% 15.92/4.25 | (1706) ~ (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_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1706), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1707) ~ (all_0_19_19 = all_0_20_20)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1522,1656) can reduce 1707 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1709) all_0_19_19 = all_0_20_20
% 15.92/4.25 | (1710) ~ (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_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1710), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1711) ~ (all_0_21_21 = all_0_22_22)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1521,1585) can reduce 1711 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1713) all_0_21_21 = all_0_22_22
% 15.92/4.25 | (1714) ~ (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_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1714), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1715) ~ (all_0_23_23 = all_0_24_24)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1548,1654) can reduce 1715 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1717) all_0_23_23 = all_0_24_24
% 15.92/4.25 | (1718) ~ (all_0_25_25 = all_0_26_26) | ( ~ (all_0_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1718), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.25 | (1719) ~ (all_0_25_25 = all_0_26_26)
% 15.92/4.25 |
% 15.92/4.25 | Equations (1523,1497) can reduce 1719 to:
% 15.92/4.25 | (420) $false
% 15.92/4.25 |
% 15.92/4.25 |-The branch is then unsatisfiable
% 15.92/4.25 |-Branch two:
% 15.92/4.25 | (1721) all_0_25_25 = all_0_26_26
% 15.92/4.25 | (1722) ( ~ (all_0_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 15.92/4.25 |
% 15.92/4.25 +-Applying beta-rule and splitting (1722), into two cases.
% 15.92/4.25 |-Branch one:
% 15.92/4.26 | (1723) ( ~ (all_0_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = e22)) | ( ~ (all_0_93_93 = e21) & ~ (all_0_94_94 = e21) & ~ (all_0_99_99 = e21))
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (1723), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (1724) ~ (all_0_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = e22)
% 15.92/4.26 |
% 15.92/4.26 | Applying alpha-rule on (1724) yields:
% 15.92/4.26 | (1725) ~ (all_0_93_93 = e22)
% 15.92/4.26 | (1726) ~ (all_0_94_94 = e22)
% 15.92/4.26 | (1727) ~ (all_0_99_99 = e22)
% 15.92/4.26 |
% 15.92/4.26 | Equations (552) can reduce 1727 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (1729) ~ (all_0_93_93 = e21) & ~ (all_0_94_94 = e21) & ~ (all_0_99_99 = e21)
% 15.92/4.26 |
% 15.92/4.26 | Applying alpha-rule on (1729) yields:
% 15.92/4.26 | (1730) ~ (all_0_93_93 = e21)
% 15.92/4.26 | (1731) ~ (all_0_94_94 = e21)
% 15.92/4.26 | (416) ~ (all_0_99_99 = e21)
% 15.92/4.26 |
% 15.92/4.26 | Equations (1490) can reduce 1731 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (1734) ~ (all_0_93_93 = e20) & ~ (all_0_94_94 = e20)
% 15.92/4.26 |
% 15.92/4.26 | Applying alpha-rule on (1734) yields:
% 15.92/4.26 | (1735) ~ (all_0_93_93 = e20)
% 15.92/4.26 | (1736) ~ (all_0_94_94 = e20)
% 15.92/4.26 |
% 15.92/4.26 | Equations (1518) can reduce 1735 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (628) ~ (all_0_117_117 = e13)
% 15.92/4.26 | (722) all_0_121_121 = e13
% 15.92/4.26 |
% 15.92/4.26 | Combining equations (680,722) yields a new equation:
% 15.92/4.26 | (850) e13 = e11
% 15.92/4.26 |
% 15.92/4.26 | Equations (850) can reduce 323 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (1742) ~ (all_0_118_118 = e12)
% 15.92/4.26 | (761) all_0_122_122 = e12
% 15.92/4.26 |
% 15.92/4.26 | Combining equations (761,758) yields a new equation:
% 15.92/4.26 | (1744) e12 = e10
% 15.92/4.26 |
% 15.92/4.26 | Simplifying 1744 yields:
% 15.92/4.26 | (821) e12 = e10
% 15.92/4.26 |
% 15.92/4.26 | Equations (821) can reduce 148 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (874) ~ (all_0_114_114 = e13)
% 15.92/4.26 | (875) all_0_114_114 = e12 | all_0_114_114 = e10
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (319), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (1629) all_0_114_114 = e12
% 15.92/4.26 |
% 15.92/4.26 | Equations (1629) can reduce 1613 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (1613) ~ (all_0_114_114 = e12)
% 15.92/4.26 | (1634) all_0_118_118 = e12 | all_0_122_122 = e12
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (875), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (734) all_0_114_114 = e10
% 15.92/4.26 |
% 15.92/4.26 | Equations (734) can reduce 737 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (737) ~ (all_0_114_114 = e10)
% 15.92/4.26 | (1629) all_0_114_114 = e12
% 15.92/4.26 |
% 15.92/4.26 | Equations (1629) can reduce 1613 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (660) ~ (all_0_121_121 = e11)
% 15.92/4.26 | (683) all_0_121_121 = e13 | all_0_121_121 = e10
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (61), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (657) all_0_119_119 = e11
% 15.92/4.26 |
% 15.92/4.26 | Combining equations (1598,657) yields a new equation:
% 15.92/4.26 | (1622) e13 = e11
% 15.92/4.26 |
% 15.92/4.26 | Simplifying 1622 yields:
% 15.92/4.26 | (850) e13 = e11
% 15.92/4.26 |
% 15.92/4.26 | Equations (850) can reduce 323 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (1592) ~ (all_0_119_119 = e11)
% 15.92/4.26 | (1765) all_0_120_120 = e11 | all_0_121_121 = e11
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (1765), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (600) all_0_120_120 = e11
% 15.92/4.26 |
% 15.92/4.26 | Combining equations (1580,600) yields a new equation:
% 15.92/4.26 | (960) e12 = e11
% 15.92/4.26 |
% 15.92/4.26 | Simplifying 960 yields:
% 15.92/4.26 | (961) e12 = e11
% 15.92/4.26 |
% 15.92/4.26 | Equations (961) can reduce 290 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (670) ~ (all_0_120_120 = e11)
% 15.92/4.26 | (680) all_0_121_121 = e11
% 15.92/4.26 |
% 15.92/4.26 | Equations (680) can reduce 660 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (1773) ~ (all_0_119_119 = e13)
% 15.92/4.26 | (1074) all_0_119_119 = e12
% 15.92/4.26 |
% 15.92/4.26 | Equations (1074) can reduce 1581 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (408) ~ (all_0_115_115 = e11)
% 15.92/4.26 | (1777) all_0_116_116 = e11 | all_0_117_117 = e11
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (110), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (587) all_0_111_111 = e11
% 15.92/4.26 |
% 15.92/4.26 | Equations (587) can reduce 609 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (609) ~ (all_0_111_111 = e11)
% 15.92/4.26 | (649) all_0_115_115 = e11 | all_0_119_119 = e11
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (649), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (626) all_0_115_115 = e11
% 15.92/4.26 |
% 15.92/4.26 | Equations (626) can reduce 408 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (408) ~ (all_0_115_115 = e11)
% 15.92/4.26 | (657) all_0_119_119 = e11
% 15.92/4.26 |
% 15.92/4.26 | Equations (657) can reduce 329 to:
% 15.92/4.26 | (271) ~ (e11 = e10)
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (136), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (1598) all_0_119_119 = e13
% 15.92/4.26 |
% 15.92/4.26 | Combining equations (657,1598) yields a new equation:
% 15.92/4.26 | (850) e13 = e11
% 15.92/4.26 |
% 15.92/4.26 | Equations (850) can reduce 323 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (1773) ~ (all_0_119_119 = e13)
% 15.92/4.26 | (1791) all_0_121_121 = e13 | all_0_122_122 = e13
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (1791), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (722) all_0_121_121 = e13
% 15.92/4.26 |
% 15.92/4.26 | Equations (722) can reduce 720 to:
% 15.92/4.26 | (179) ~ (e13 = e10)
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (209), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (405) all_0_117_117 = e11
% 15.92/4.26 |
% 15.92/4.26 | Equations (405) can reduce 340 to:
% 15.92/4.26 | (408) ~ (all_0_115_115 = e11)
% 15.92/4.26 |
% 15.92/4.26 | Equations (405) can reduce 939 to:
% 15.92/4.26 | (271) ~ (e11 = e10)
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (14), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (602), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (603), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (604), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (605), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 15.92/4.26 |
% 15.92/4.26 +-Applying beta-rule and splitting (606), into two cases.
% 15.92/4.26 |-Branch one:
% 15.92/4.26 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 15.92/4.26 |
% 15.92/4.26 | Applying alpha-rule on (607) yields:
% 15.92/4.26 | (608) all_0_113_113 = e13
% 15.92/4.26 | (609) ~ (all_0_111_111 = e11)
% 15.92/4.26 | (610) ~ (all_0_117_117 = e11)
% 15.92/4.26 |
% 15.92/4.26 | Combining equations (718,608) yields a new equation:
% 15.92/4.26 | (735) e13 = e10
% 15.92/4.26 |
% 15.92/4.26 | Equations (735) can reduce 179 to:
% 15.92/4.26 | (420) $false
% 15.92/4.26 |
% 15.92/4.26 |-The branch is then unsatisfiable
% 15.92/4.26 |-Branch two:
% 15.92/4.26 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 15.92/4.26 |
% 15.92/4.26 | Applying alpha-rule on (612) yields:
% 15.92/4.27 | (613) all_0_114_114 = e13
% 15.92/4.27 | (614) ~ (all_0_122_122 = e10)
% 15.92/4.27 |
% 15.92/4.27 | Equations (758) can reduce 614 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (625) yields:
% 15.92/4.27 | (626) all_0_115_115 = e11
% 15.92/4.27 | (627) ~ (all_0_111_111 = e13)
% 15.92/4.27 | (628) ~ (all_0_117_117 = e13)
% 15.92/4.27 |
% 15.92/4.27 | Equations (626) can reduce 408 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (630) yields:
% 15.92/4.27 | (597) all_0_116_116 = e11
% 15.92/4.27 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (745,597) yields a new equation:
% 15.92/4.27 | (637) e11 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (637) can reduce 271 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (634) yields:
% 15.92/4.27 | (635) all_0_120_120 = e10
% 15.92/4.27 | (636) ~ (all_0_122_122 = e12)
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (1580,635) yields a new equation:
% 15.92/4.27 | (1744) e12 = e10
% 15.92/4.27 |
% 15.92/4.27 | Simplifying 1744 yields:
% 15.92/4.27 | (821) e12 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (821) can reduce 148 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (639) yields:
% 15.92/4.27 | (640) all_0_121_121 = e10
% 15.92/4.27 | (610) ~ (all_0_117_117 = e11)
% 15.92/4.27 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (640,722) yields a new equation:
% 15.92/4.27 | (735) e13 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (735) can reduce 179 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (644) yields:
% 15.92/4.27 | (610) ~ (all_0_117_117 = e11)
% 15.92/4.27 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.92/4.27 |
% 15.92/4.27 | Equations (405) can reduce 610 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (610) ~ (all_0_117_117 = e11)
% 15.92/4.27 | (1839) all_0_117_117 = e13 | all_0_117_117 = e10
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (1777), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (597) all_0_116_116 = e11
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (745,597) yields a new equation:
% 15.92/4.27 | (637) e11 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (637) can reduce 271 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (409) ~ (all_0_116_116 = e11)
% 15.92/4.27 | (405) all_0_117_117 = e11
% 15.92/4.27 |
% 15.92/4.27 | Equations (405) can reduce 610 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (871) ~ (all_0_121_121 = e13)
% 15.92/4.27 | (749) all_0_122_122 = e13
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (749,758) yields a new equation:
% 15.92/4.27 | (840) e13 = e10
% 15.92/4.27 |
% 15.92/4.27 | Simplifying 840 yields:
% 15.92/4.27 | (735) e13 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (735) can reduce 179 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (589) ~ (all_0_112_112 = e11)
% 15.92/4.27 | (1852) all_0_112_112 = e12 | all_0_112_112 = e10
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (288), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (593) all_0_112_112 = e11
% 15.92/4.27 |
% 15.92/4.27 | Equations (593) can reduce 589 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (589) ~ (all_0_112_112 = e11)
% 15.92/4.27 | (596) all_0_116_116 = e11 | all_0_120_120 = e11
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (48), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (587) all_0_111_111 = e11
% 15.92/4.27 |
% 15.92/4.27 | Equations (587) can reduce 218 to:
% 15.92/4.27 | (590) ~ (all_0_115_115 = e11)
% 15.92/4.27 |
% 15.92/4.27 | Simplifying 590 yields:
% 15.92/4.27 | (408) ~ (all_0_115_115 = e11)
% 15.92/4.27 |
% 15.92/4.27 | Equations (587) can reduce 333 to:
% 15.92/4.27 | (271) ~ (e11 = e10)
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (14), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (602), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (603), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (604), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (605), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (606), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (607) yields:
% 15.92/4.27 | (608) all_0_113_113 = e13
% 15.92/4.27 | (609) ~ (all_0_111_111 = e11)
% 15.92/4.27 | (610) ~ (all_0_117_117 = e11)
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (718,608) yields a new equation:
% 15.92/4.27 | (735) e13 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (735) can reduce 179 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (612) yields:
% 15.92/4.27 | (613) all_0_114_114 = e13
% 15.92/4.27 | (614) ~ (all_0_122_122 = e10)
% 15.92/4.27 |
% 15.92/4.27 | Equations (758) can reduce 614 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (625) yields:
% 15.92/4.27 | (626) all_0_115_115 = e11
% 15.92/4.27 | (627) ~ (all_0_111_111 = e13)
% 15.92/4.27 | (628) ~ (all_0_117_117 = e13)
% 15.92/4.27 |
% 15.92/4.27 | Equations (626) can reduce 408 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (630) yields:
% 15.92/4.27 | (597) all_0_116_116 = e11
% 15.92/4.27 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (745,597) yields a new equation:
% 15.92/4.27 | (637) e11 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (637) can reduce 271 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (634) yields:
% 15.92/4.27 | (635) all_0_120_120 = e10
% 15.92/4.27 | (636) ~ (all_0_122_122 = e12)
% 15.92/4.27 |
% 15.92/4.27 | Equations (635) can reduce 823 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (639) yields:
% 15.92/4.27 | (640) all_0_121_121 = e10
% 15.92/4.27 | (610) ~ (all_0_117_117 = e11)
% 15.92/4.27 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.92/4.27 |
% 15.92/4.27 | Equations (640) can reduce 720 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 15.92/4.27 |
% 15.92/4.27 | Applying alpha-rule on (644) yields:
% 15.92/4.27 | (610) ~ (all_0_117_117 = e11)
% 15.92/4.27 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (166), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (692) all_0_113_113 = e11
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (718,692) yields a new equation:
% 15.92/4.27 | (637) e11 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (637) can reduce 271 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (407) ~ (all_0_113_113 = e11)
% 15.92/4.27 | (1902) all_0_117_117 = e11 | all_0_121_121 = e11
% 15.92/4.27 |
% 15.92/4.27 | Equations (718) can reduce 407 to:
% 15.92/4.27 | (917) ~ (e11 = e10)
% 15.92/4.27 |
% 15.92/4.27 | Simplifying 917 yields:
% 15.92/4.27 | (271) ~ (e11 = e10)
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (209), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (405) all_0_117_117 = e11
% 15.92/4.27 |
% 15.92/4.27 | Equations (405) can reduce 610 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (610) ~ (all_0_117_117 = e11)
% 15.92/4.27 | (1839) all_0_117_117 = e13 | all_0_117_117 = e10
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (1839), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (978) all_0_117_117 = e13
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (174), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (626) all_0_115_115 = e11
% 15.92/4.27 |
% 15.92/4.27 | Equations (626) can reduce 408 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (408) ~ (all_0_115_115 = e11)
% 15.92/4.27 | (1777) all_0_116_116 = e11 | all_0_117_117 = e11
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (119), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (600) all_0_120_120 = e11
% 15.92/4.27 |
% 15.92/4.27 | Equations (600) can reduce 49 to:
% 15.92/4.27 | (1564) ~ (e13 = e11)
% 15.92/4.27 |
% 15.92/4.27 | Simplifying 1564 yields:
% 15.92/4.27 | (323) ~ (e13 = e11)
% 15.92/4.27 |
% 15.92/4.27 | Equations (600) can reduce 823 to:
% 15.92/4.27 | (271) ~ (e11 = e10)
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (2), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (880) all_0_111_111 = e13
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (587,880) yields a new equation:
% 15.92/4.27 | (850) e13 = e11
% 15.92/4.27 |
% 15.92/4.27 | Equations (850) can reduce 323 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (627) ~ (all_0_111_111 = e13)
% 15.92/4.27 | (885) all_0_113_113 = e13 | all_0_114_114 = e13
% 15.92/4.27 |
% 15.92/4.27 | Equations (587) can reduce 627 to:
% 15.92/4.27 | (1564) ~ (e13 = e11)
% 15.92/4.27 |
% 15.92/4.27 | Simplifying 1564 yields:
% 15.92/4.27 | (323) ~ (e13 = e11)
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (1777), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (597) all_0_116_116 = e11
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (745,597) yields a new equation:
% 15.92/4.27 | (637) e11 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (637) can reduce 271 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (409) ~ (all_0_116_116 = e11)
% 15.92/4.27 | (405) all_0_117_117 = e11
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (978,405) yields a new equation:
% 15.92/4.27 | (1622) e13 = e11
% 15.92/4.27 |
% 15.92/4.27 | Simplifying 1622 yields:
% 15.92/4.27 | (850) e13 = e11
% 15.92/4.27 |
% 15.92/4.27 | Equations (850) can reduce 323 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (670) ~ (all_0_120_120 = e11)
% 15.92/4.27 | (687) all_0_120_120 = e12 | all_0_120_120 = e10
% 15.92/4.27 |
% 15.92/4.27 +-Applying beta-rule and splitting (596), into two cases.
% 15.92/4.27 |-Branch one:
% 15.92/4.27 | (597) all_0_116_116 = e11
% 15.92/4.27 |
% 15.92/4.27 | Combining equations (745,597) yields a new equation:
% 15.92/4.27 | (637) e11 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (637) can reduce 271 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (409) ~ (all_0_116_116 = e11)
% 15.92/4.27 | (600) all_0_120_120 = e11
% 15.92/4.27 |
% 15.92/4.27 | Equations (600) can reduce 670 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.27 |-Branch two:
% 15.92/4.27 | (628) ~ (all_0_117_117 = e13)
% 15.92/4.27 | (935) all_0_117_117 = e10
% 15.92/4.27 |
% 15.92/4.27 | Equations (935) can reduce 939 to:
% 15.92/4.27 | (420) $false
% 15.92/4.27 |
% 15.92/4.27 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (609) ~ (all_0_111_111 = e11)
% 15.92/4.28 | (653) all_0_112_112 = e11 | all_0_113_113 = e11
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (653), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (593) all_0_112_112 = e11
% 15.92/4.28 |
% 15.92/4.28 | Equations (593) can reduce 589 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (589) ~ (all_0_112_112 = e11)
% 15.92/4.28 | (692) all_0_113_113 = e11
% 15.92/4.28 |
% 15.92/4.28 | Combining equations (692,718) yields a new equation:
% 15.92/4.28 | (929) e11 = e10
% 15.92/4.28 |
% 15.92/4.28 | Simplifying 929 yields:
% 15.92/4.28 | (637) e11 = e10
% 15.92/4.28 |
% 15.92/4.28 | Equations (637) can reduce 271 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (459) ~ (all_0_104_104 = e22)
% 15.92/4.28 | (579) all_0_106_106 = e22
% 15.92/4.28 |
% 15.92/4.28 | Combining equations (555,579) yields a new equation:
% 15.92/4.28 | (457) e22 = e20
% 15.92/4.28 |
% 15.92/4.28 | Equations (457) can reduce 122 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (1084) ~ (all_0_102_102 = e23)
% 15.92/4.28 | (1085) all_0_106_106 = e23 | all_0_110_110 = e23
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (455), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (456) all_0_104_104 = e22
% 15.92/4.28 |
% 15.92/4.28 | Equations (456) can reduce 42 to:
% 15.92/4.28 | (1407) ~ (e23 = e22)
% 15.92/4.28 |
% 15.92/4.28 | Simplifying 1407 yields:
% 15.92/4.28 | (25) ~ (e23 = e22)
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (88), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (473) all_0_102_102 = e23
% 15.92/4.28 |
% 15.92/4.28 | Equations (473) can reduce 1084 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (1084) ~ (all_0_102_102 = e23)
% 15.92/4.28 | (1965) all_0_102_102 = e22 | all_0_102_102 = e20
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (249), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (549) all_0_99_99 = e23
% 15.92/4.28 |
% 15.92/4.28 | Combining equations (552,549) yields a new equation:
% 15.92/4.28 | (1094) e23 = e22
% 15.92/4.28 |
% 15.92/4.28 | Equations (1094) can reduce 25 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (507) ~ (all_0_99_99 = e23)
% 15.92/4.28 | (1970) all_0_101_101 = e23 | all_0_102_102 = e23
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (1970), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (468) all_0_101_101 = e23
% 15.92/4.28 |
% 15.92/4.28 | Combining equations (495,468) yields a new equation:
% 15.92/4.28 | (476) e23 = e20
% 15.92/4.28 |
% 15.92/4.28 | Equations (476) can reduce 243 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (1461) ~ (all_0_101_101 = e23)
% 15.92/4.28 | (473) all_0_102_102 = e23
% 15.92/4.28 |
% 15.92/4.28 | Equations (473) can reduce 1084 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (459) ~ (all_0_104_104 = e22)
% 15.92/4.28 | (460) all_0_108_108 = e22
% 15.92/4.28 |
% 15.92/4.28 | Combining equations (481,460) yields a new equation:
% 15.92/4.28 | (457) e22 = e20
% 15.92/4.28 |
% 15.92/4.28 | Equations (457) can reduce 122 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (494) ~ (all_0_101_101 = e20)
% 15.92/4.28 | (1138) all_0_105_105 = e20 | all_0_109_109 = e20
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (492), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (495) all_0_101_101 = e20
% 15.92/4.28 |
% 15.92/4.28 | Equations (495) can reduce 494 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (494) ~ (all_0_101_101 = e20)
% 15.92/4.28 | (475) all_0_102_102 = e20
% 15.92/4.28 |
% 15.92/4.28 | Equations (475) can reduce 478 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (1727) ~ (all_0_99_99 = e22)
% 15.92/4.28 | (1989) all_0_103_103 = e22 | all_0_107_107 = e22
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (439), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (549) all_0_99_99 = e23
% 15.92/4.28 |
% 15.92/4.28 | Equations (549) can reduce 507 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (507) ~ (all_0_99_99 = e23)
% 15.92/4.28 | (552) all_0_99_99 = e22
% 15.92/4.28 |
% 15.92/4.28 | Equations (552) can reduce 1727 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (1112) ~ (all_0_103_103 = e23)
% 15.92/4.28 | (1996) all_0_105_105 = e23 | all_0_106_106 = e23
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (237), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (549) all_0_99_99 = e23
% 15.92/4.28 |
% 15.92/4.28 | Equations (549) can reduce 251 to:
% 15.92/4.28 | (1998) ~ (all_0_101_101 = e23)
% 15.92/4.28 |
% 15.92/4.28 | Simplifying 1998 yields:
% 15.92/4.28 | (1461) ~ (all_0_101_101 = e23)
% 15.92/4.28 |
% 15.92/4.28 | Equations (549) can reduce 221 to:
% 15.92/4.28 | (1132) ~ (all_0_102_102 = e23)
% 15.92/4.28 |
% 15.92/4.28 | Simplifying 1132 yields:
% 15.92/4.28 | (1084) ~ (all_0_102_102 = e23)
% 15.92/4.28 |
% 15.92/4.28 | Equations (549) can reduce 233 to:
% 15.92/4.28 | (243) ~ (e23 = e20)
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (263), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (468) all_0_101_101 = e23
% 15.92/4.28 |
% 15.92/4.28 | Equations (468) can reduce 1461 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (1461) ~ (all_0_101_101 = e23)
% 15.92/4.28 | (1462) all_0_105_105 = e23 | all_0_109_109 = e23
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (101), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (473) all_0_102_102 = e23
% 15.92/4.28 |
% 15.92/4.28 | Equations (473) can reduce 1084 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (1084) ~ (all_0_102_102 = e23)
% 15.92/4.28 | (1085) all_0_106_106 = e23 | all_0_110_110 = e23
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (1085), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (545) all_0_106_106 = e23
% 15.92/4.28 |
% 15.92/4.28 | Combining equations (555,545) yields a new equation:
% 15.92/4.28 | (476) e23 = e20
% 15.92/4.28 |
% 15.92/4.28 | Equations (476) can reduce 243 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (544) ~ (all_0_106_106 = e23)
% 15.92/4.28 | (1093) all_0_110_110 = e23
% 15.92/4.28 |
% 15.92/4.28 | Equations (1093) can reduce 283 to:
% 15.92/4.28 | (1081) ~ (all_0_109_109 = e23)
% 15.92/4.28 |
% 15.92/4.28 | Equations (1093) can reduce 279 to:
% 15.92/4.28 | (253) ~ (e23 = e21)
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (1462), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (1463) all_0_105_105 = e23
% 15.92/4.28 |
% 15.92/4.28 | Combining equations (360,1463) yields a new equation:
% 15.92/4.28 | (1323) e23 = e21
% 15.92/4.28 |
% 15.92/4.28 | Equations (1323) can reduce 253 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (508) ~ (all_0_105_105 = e23)
% 15.92/4.28 | (586) all_0_109_109 = e23
% 15.92/4.28 |
% 15.92/4.28 | Equations (586) can reduce 1081 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (507) ~ (all_0_99_99 = e23)
% 15.92/4.28 | (2025) all_0_103_103 = e23 | all_0_107_107 = e23
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (2025), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (541) all_0_103_103 = e23
% 15.92/4.28 |
% 15.92/4.28 | Equations (541) can reduce 1112 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (1112) ~ (all_0_103_103 = e23)
% 15.92/4.28 | (1321) all_0_107_107 = e23
% 15.92/4.28 |
% 15.92/4.28 | Combining equations (423,1321) yields a new equation:
% 15.92/4.28 | (1323) e23 = e21
% 15.92/4.28 |
% 15.92/4.28 | Equations (1323) can reduce 253 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (1122) ~ (all_0_100_100 = e21)
% 15.92/4.28 | (1123) all_0_104_104 = e21 | all_0_108_108 = e21
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (1123), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (432) all_0_104_104 = e21
% 15.92/4.28 |
% 15.92/4.28 | Equations (432) can reduce 364 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (364) ~ (all_0_104_104 = e21)
% 15.92/4.28 | (1148) all_0_108_108 = e21
% 15.92/4.28 |
% 15.92/4.28 | Equations (1148) can reduce 303 to:
% 15.92/4.28 | (1122) ~ (all_0_100_100 = e21)
% 15.92/4.28 |
% 15.92/4.28 | Equations (1148) can reduce 90 to:
% 15.92/4.28 | (364) ~ (all_0_104_104 = e21)
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (260), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (419) all_0_99_99 = e21
% 15.92/4.28 |
% 15.92/4.28 | Equations (419) can reduce 251 to:
% 15.92/4.28 | (2041) ~ (all_0_101_101 = e21)
% 15.92/4.28 |
% 15.92/4.28 | Simplifying 2041 yields:
% 15.92/4.28 | (362) ~ (all_0_101_101 = e21)
% 15.92/4.28 |
% 15.92/4.28 | Equations (419) can reduce 226 to:
% 15.92/4.28 | (1125) ~ (all_0_103_103 = e21)
% 15.92/4.28 |
% 15.92/4.28 | Simplifying 1125 yields:
% 15.92/4.28 | (363) ~ (all_0_103_103 = e21)
% 15.92/4.28 |
% 15.92/4.28 | Equations (419) can reduce 233 to:
% 15.92/4.28 | (300) ~ (e21 = e20)
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (45), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (462) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22)) | (all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)))
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (462), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (463) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22))
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (463), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (464) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (464), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (465) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23))
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (465), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (466) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20))
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (466), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (467) all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)
% 15.92/4.28 |
% 15.92/4.28 | Applying alpha-rule on (467) yields:
% 15.92/4.28 | (468) all_0_101_101 = e23
% 15.92/4.28 | (416) ~ (all_0_99_99 = e21)
% 15.92/4.28 | (470) ~ (all_0_105_105 = e21)
% 15.92/4.28 |
% 15.92/4.28 | Equations (360) can reduce 470 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.28 | (472) all_0_102_102 = e23 & ~ (all_0_110_110 = e20)
% 15.92/4.28 |
% 15.92/4.28 | Applying alpha-rule on (472) yields:
% 15.92/4.28 | (473) all_0_102_102 = e23
% 15.92/4.28 | (474) ~ (all_0_110_110 = e20)
% 15.92/4.28 |
% 15.92/4.28 | Equations (473) can reduce 203 to:
% 15.92/4.28 | (1461) ~ (all_0_101_101 = e23)
% 15.92/4.28 |
% 15.92/4.28 +-Applying beta-rule and splitting (59), into two cases.
% 15.92/4.28 |-Branch one:
% 15.92/4.28 | (2060) all_0_101_101 = e21
% 15.92/4.28 |
% 15.92/4.28 | Equations (2060) can reduce 362 to:
% 15.92/4.28 | (420) $false
% 15.92/4.28 |
% 15.92/4.28 |-The branch is then unsatisfiable
% 15.92/4.28 |-Branch two:
% 15.92/4.29 | (362) ~ (all_0_101_101 = e21)
% 15.92/4.29 | (2063) all_0_101_101 = e23 | all_0_101_101 = e20
% 15.92/4.29 |
% 15.92/4.29 +-Applying beta-rule and splitting (191), into two cases.
% 15.92/4.29 |-Branch one:
% 15.92/4.29 | (481) all_0_108_108 = e20
% 15.92/4.29 |
% 15.92/4.29 | Combining equations (1148,481) yields a new equation:
% 15.92/4.29 | (488) e21 = e20
% 15.92/4.29 |
% 15.92/4.29 | Simplifying 488 yields:
% 15.92/4.29 | (489) e21 = e20
% 15.92/4.29 |
% 15.92/4.29 | Equations (489) can reduce 300 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 15.92/4.29 |-Branch two:
% 15.92/4.29 | (446) ~ (all_0_108_108 = e20)
% 15.92/4.29 | (486) all_0_109_109 = e20 | all_0_110_110 = e20
% 15.92/4.29 |
% 15.92/4.29 +-Applying beta-rule and splitting (2063), into two cases.
% 15.92/4.29 |-Branch one:
% 15.92/4.29 | (468) all_0_101_101 = e23
% 15.92/4.29 |
% 15.92/4.29 | Equations (468) can reduce 1461 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 15.92/4.29 |-Branch two:
% 15.92/4.29 | (1461) ~ (all_0_101_101 = e23)
% 15.92/4.29 | (495) all_0_101_101 = e20
% 15.92/4.29 |
% 15.92/4.29 | Equations (495) can reduce 112 to:
% 15.92/4.29 | (568) ~ (all_0_109_109 = e20)
% 15.92/4.29 |
% 15.92/4.29 | Simplifying 568 yields:
% 15.92/4.29 | (502) ~ (all_0_109_109 = e20)
% 15.92/4.29 |
% 15.92/4.29 +-Applying beta-rule and splitting (486), into two cases.
% 15.92/4.29 |-Branch one:
% 15.92/4.29 | (493) all_0_109_109 = e20
% 15.92/4.29 |
% 15.92/4.29 | Equations (493) can reduce 502 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 15.92/4.29 |-Branch two:
% 15.92/4.29 | (502) ~ (all_0_109_109 = e20)
% 15.92/4.29 | (503) all_0_110_110 = e20
% 15.92/4.29 |
% 15.92/4.29 | Equations (503) can reduce 474 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 15.92/4.29 |-Branch two:
% 15.92/4.29 | (505) all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)
% 15.92/4.29 |
% 15.92/4.29 | Applying alpha-rule on (505) yields:
% 15.92/4.29 | (428) all_0_103_103 = e21
% 15.92/4.29 | (507) ~ (all_0_99_99 = e23)
% 15.92/4.29 | (508) ~ (all_0_105_105 = e23)
% 15.92/4.29 |
% 15.92/4.29 | Equations (428) can reduce 363 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 15.92/4.29 |-Branch two:
% 15.92/4.29 | (510) all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 15.92/4.29 |
% 15.92/4.29 | Applying alpha-rule on (510) yields:
% 15.92/4.29 | (432) all_0_104_104 = e21
% 15.92/4.29 | (512) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 15.92/4.29 |
% 15.92/4.29 | Equations (432) can reduce 364 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 15.92/4.29 |-Branch two:
% 15.92/4.29 | (515) all_0_108_108 = e20 & ~ (all_0_110_110 = e22)
% 15.92/4.29 |
% 15.92/4.29 | Applying alpha-rule on (515) yields:
% 15.92/4.29 | (481) all_0_108_108 = e20
% 15.92/4.29 | (517) ~ (all_0_110_110 = e22)
% 15.92/4.29 |
% 15.92/4.29 | Combining equations (481,1148) yields a new equation:
% 15.92/4.29 | (489) e21 = e20
% 15.92/4.29 |
% 15.92/4.29 | Equations (489) can reduce 300 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 15.92/4.29 |-Branch two:
% 15.92/4.29 | (521) all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 15.92/4.29 |
% 15.92/4.29 | Applying alpha-rule on (521) yields:
% 15.92/4.29 | (493) all_0_109_109 = e20
% 15.92/4.29 | (470) ~ (all_0_105_105 = e21)
% 15.92/4.29 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 15.92/4.29 |
% 15.92/4.29 | Equations (360) can reduce 470 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 15.92/4.29 |-Branch two:
% 15.92/4.29 | (526) ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 15.92/4.29 |
% 15.92/4.29 | Applying alpha-rule on (526) yields:
% 15.92/4.29 | (470) ~ (all_0_105_105 = e21)
% 15.92/4.29 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 15.92/4.29 |
% 15.92/4.29 | Equations (360) can reduce 470 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 15.92/4.29 |-Branch two:
% 15.92/4.29 | (416) ~ (all_0_99_99 = e21)
% 15.92/4.29 | (1190) all_0_100_100 = e21 | all_0_101_101 = e21
% 15.92/4.29 |
% 15.92/4.29 +-Applying beta-rule and splitting (1190), into two cases.
% 15.92/4.29 |-Branch one:
% 15.92/4.29 | (415) all_0_100_100 = e21
% 15.92/4.29 |
% 15.92/4.29 | Equations (415) can reduce 1122 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 15.92/4.29 |-Branch two:
% 15.92/4.29 | (1122) ~ (all_0_100_100 = e21)
% 15.92/4.29 | (2060) all_0_101_101 = e21
% 15.92/4.29 |
% 15.92/4.29 | Equations (2060) can reduce 362 to:
% 15.92/4.29 | (420) $false
% 15.92/4.29 |
% 15.92/4.29 |-The branch is then unsatisfiable
% 16.13/4.29 |-Branch two:
% 16.13/4.29 | (741) ~ (all_0_116_116 = e10)
% 16.13/4.29 | (748) all_0_117_117 = e10 | all_0_118_118 = e10
% 16.13/4.29 |
% 16.13/4.29 +-Applying beta-rule and splitting (114), into two cases.
% 16.13/4.29 |-Branch one:
% 16.13/4.29 | (928) all_0_112_112 = e10
% 16.13/4.29 |
% 16.13/4.29 | Equations (928) can reduce 932 to:
% 16.13/4.29 | (420) $false
% 16.13/4.29 |
% 16.13/4.29 |-The branch is then unsatisfiable
% 16.13/4.29 |-Branch two:
% 16.13/4.29 | (932) ~ (all_0_112_112 = e10)
% 16.13/4.29 | (2116) all_0_116_116 = e10 | all_0_120_120 = e10
% 16.13/4.29 |
% 16.13/4.29 +-Applying beta-rule and splitting (2116), into two cases.
% 16.13/4.29 |-Branch one:
% 16.13/4.29 | (745) all_0_116_116 = e10
% 16.13/4.29 |
% 16.13/4.29 | Equations (745) can reduce 741 to:
% 16.13/4.29 | (420) $false
% 16.13/4.29 |
% 16.13/4.29 |-The branch is then unsatisfiable
% 16.13/4.29 |-Branch two:
% 16.13/4.29 | (741) ~ (all_0_116_116 = e10)
% 16.13/4.29 | (635) all_0_120_120 = e10
% 16.13/4.29 |
% 16.13/4.29 | Equations (635) can reduce 823 to:
% 16.13/4.29 | (420) $false
% 16.13/4.29 |
% 16.13/4.29 |-The branch is then unsatisfiable
% 16.13/4.29 |-Branch two:
% 16.13/4.29 | (926) ~ (all_0_113_113 = e10)
% 16.13/4.29 | (927) all_0_117_117 = e10 | all_0_121_121 = e10
% 16.13/4.29 |
% 16.13/4.29 +-Applying beta-rule and splitting (189), into two cases.
% 16.13/4.29 |-Branch one:
% 16.13/4.29 | (745) all_0_116_116 = e10
% 16.13/4.29 |
% 16.13/4.29 | Equations (745) can reduce 200 to:
% 16.13/4.29 | (1226) ~ (all_0_117_117 = e10)
% 16.13/4.29 |
% 16.13/4.29 | Simplifying 1226 yields:
% 16.13/4.29 | (939) ~ (all_0_117_117 = e10)
% 16.13/4.29 |
% 16.13/4.29 +-Applying beta-rule and splitting (927), into two cases.
% 16.13/4.29 |-Branch one:
% 16.13/4.29 | (935) all_0_117_117 = e10
% 16.13/4.29 |
% 16.13/4.29 | Equations (935) can reduce 939 to:
% 16.13/4.29 | (420) $false
% 16.13/4.29 |
% 16.13/4.29 |-The branch is then unsatisfiable
% 16.13/4.29 |-Branch two:
% 16.13/4.29 | (939) ~ (all_0_117_117 = e10)
% 16.13/4.29 | (640) all_0_121_121 = e10
% 16.13/4.29 |
% 16.13/4.29 | Equations (640) can reduce 720 to:
% 16.13/4.29 | (420) $false
% 16.13/4.29 |
% 16.13/4.29 |-The branch is then unsatisfiable
% 16.13/4.29 |-Branch two:
% 16.13/4.29 | (741) ~ (all_0_116_116 = e10)
% 16.13/4.29 | (748) all_0_117_117 = e10 | all_0_118_118 = e10
% 16.13/4.29 |
% 16.13/4.29 +-Applying beta-rule and splitting (748), into two cases.
% 16.13/4.29 |-Branch one:
% 16.13/4.29 | (935) all_0_117_117 = e10
% 16.13/4.29 |
% 16.13/4.29 | Equations (935) can reduce 939 to:
% 16.13/4.29 | (420) $false
% 16.13/4.29 |
% 16.13/4.29 |-The branch is then unsatisfiable
% 16.13/4.29 |-Branch two:
% 16.13/4.29 | (939) ~ (all_0_117_117 = e10)
% 16.13/4.29 | (764) all_0_118_118 = e10
% 16.13/4.29 |
% 16.13/4.29 | Equations (764) can reduce 819 to:
% 16.13/4.29 | (420) $false
% 16.13/4.29 |
% 16.13/4.29 |-The branch is then unsatisfiable
% 16.13/4.29 |-Branch two:
% 16.13/4.29 | (2139) all_0_110_110 = e20 & ~ (all_0_105_105 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Applying alpha-rule on (2139) yields:
% 16.13/4.29 | (503) all_0_110_110 = e20
% 16.13/4.29 | (1142) ~ (all_0_105_105 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (503) can reduce 43 to:
% 16.13/4.29 | (478) ~ (all_0_102_102 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (503) can reduce 326 to:
% 16.13/4.29 | (1109) ~ (all_0_106_106 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (503) can reduce 76 to:
% 16.13/4.29 | (36) ~ (all_0_107_107 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (503) can reduce 279 to:
% 16.13/4.29 | (449) ~ (e21 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Simplifying 449 yields:
% 16.13/4.29 | (300) ~ (e21 = e20)
% 16.13/4.29 |
% 16.13/4.29 | From (503)(503) and (345) follows:
% 16.13/4.29 | (2147) op2(e20, e20) = all_0_66_66
% 16.13/4.29 |
% 16.13/4.29 | From (503) and (67) follows:
% 16.13/4.29 | (2148) op2(e20, e20) = all_0_68_68
% 16.13/4.29 |
% 16.13/4.29 | From (503) and (126) follows:
% 16.13/4.29 | (2149) op2(e20, e20) = all_0_98_98
% 16.13/4.29 |
% 16.13/4.29 | From (503) and (8) follows:
% 16.13/4.29 | (2150) op2(e20, e20) = e20
% 16.13/4.29 |
% 16.13/4.29 +-Applying beta-rule and splitting (238), into two cases.
% 16.13/4.29 |-Branch one:
% 16.13/4.29 | (444) all_0_104_104 = e20
% 16.13/4.29 |
% 16.13/4.29 | Equations (444) can reduce 220 to:
% 16.13/4.29 | (491) ~ (all_0_100_100 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (444) can reduce 332 to:
% 16.13/4.29 | (1283) ~ (all_0_106_106 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Simplifying 1283 yields:
% 16.13/4.29 | (1109) ~ (all_0_106_106 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (444) can reduce 90 to:
% 16.13/4.29 | (445) ~ (all_0_108_108 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Simplifying 445 yields:
% 16.13/4.29 | (446) ~ (all_0_108_108 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (444) can reduce 42 to:
% 16.13/4.29 | (447) ~ (e23 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Simplifying 447 yields:
% 16.13/4.29 | (243) ~ (e23 = e20)
% 16.13/4.29 |
% 16.13/4.29 | From (444) and (339) follows:
% 16.13/4.29 | (2159) op2(e21, e22) = e20
% 16.13/4.29 |
% 16.13/4.29 +-Applying beta-rule and splitting (165), into two cases.
% 16.13/4.29 |-Branch one:
% 16.13/4.29 | (487) all_0_100_100 = e20
% 16.13/4.29 |
% 16.13/4.29 | Equations (487) can reduce 491 to:
% 16.13/4.29 | (420) $false
% 16.13/4.29 |
% 16.13/4.29 |-The branch is then unsatisfiable
% 16.13/4.29 |-Branch two:
% 16.13/4.29 | (491) ~ (all_0_100_100 = e20)
% 16.13/4.29 | (492) all_0_101_101 = e20 | all_0_102_102 = e20
% 16.13/4.29 |
% 16.13/4.29 +-Applying beta-rule and splitting (181), into two cases.
% 16.13/4.29 |-Branch one:
% 16.13/4.29 | (495) all_0_101_101 = e20
% 16.13/4.29 |
% 16.13/4.29 | Equations (495) can reduce 251 to:
% 16.13/4.29 | (233) ~ (all_0_99_99 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (495) can reduce 211 to:
% 16.13/4.29 | (491) ~ (all_0_100_100 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (495) can reduce 203 to:
% 16.13/4.29 | (2167) ~ (all_0_102_102 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Simplifying 2167 yields:
% 16.13/4.29 | (478) ~ (all_0_102_102 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (495) can reduce 235 to:
% 16.13/4.29 | (2169) ~ (all_0_105_105 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Simplifying 2169 yields:
% 16.13/4.29 | (1142) ~ (all_0_105_105 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (495) can reduce 112 to:
% 16.13/4.29 | (568) ~ (all_0_109_109 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Simplifying 568 yields:
% 16.13/4.29 | (502) ~ (all_0_109_109 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Equations (495) can reduce 130 to:
% 16.13/4.29 | (573) ~ (e22 = e20)
% 16.13/4.29 |
% 16.13/4.29 | Simplifying 573 yields:
% 16.13/4.29 | (122) ~ (e22 = e20)
% 16.13/4.29 |
% 16.13/4.29 | From (495) and (73) follows:
% 16.13/4.29 | (1457) op2(e23, e21) = e20
% 16.13/4.29 |
% 16.13/4.29 | Instantiating formula (30) with e20, e20, all_0_68_68, all_0_66_66 and discharging atoms op2(e20, e20) = all_0_66_66, op2(e20, e20) = all_0_68_68, yields:
% 16.13/4.29 | (2176) all_0_66_66 = all_0_68_68
% 16.13/4.29 |
% 16.13/4.29 | Instantiating formula (30) with e20, e20, all_0_98_98, all_0_68_68 and discharging atoms op2(e20, e20) = all_0_68_68, op2(e20, e20) = all_0_98_98, yields:
% 16.13/4.29 | (2177) all_0_68_68 = all_0_98_98
% 16.13/4.29 |
% 16.13/4.29 | Instantiating formula (30) with e20, e20, e20, all_0_66_66 and discharging atoms op2(e20, e20) = all_0_66_66, op2(e20, e20) = e20, yields:
% 16.13/4.29 | (2178) all_0_66_66 = e20
% 16.13/4.29 |
% 16.13/4.30 | Combining equations (2176,2178) yields a new equation:
% 16.13/4.30 | (2179) all_0_68_68 = e20
% 16.13/4.30 |
% 16.13/4.30 | Simplifying 2179 yields:
% 16.13/4.30 | (2180) all_0_68_68 = e20
% 16.13/4.30 |
% 16.13/4.30 | Combining equations (2180,2177) yields a new equation:
% 16.13/4.30 | (1495) all_0_98_98 = e20
% 16.13/4.30 |
% 16.13/4.30 | From (1495) and (178) follows:
% 16.13/4.30 | (1507) op2(all_0_97_97, e20) = all_0_83_83
% 16.13/4.30 |
% 16.13/4.30 | From (1495) and (227) follows:
% 16.13/4.30 | (1508) op2(e20, all_0_97_97) = all_0_89_89
% 16.13/4.30 |
% 16.13/4.30 | From (1495)(1495) and (282) follows:
% 16.13/4.30 | (1509) op2(e20, e20) = all_0_91_91
% 16.13/4.30 |
% 16.13/4.30 | From (1495) and (81) follows:
% 16.13/4.30 | (1511) op2(e20, e20) = all_0_87_87
% 16.13/4.30 |
% 16.13/4.30 | From (1495) and (137) follows:
% 16.13/4.30 | (1516) op2(e20, e20) = all_0_97_97
% 16.13/4.30 |
% 16.13/4.30 | From (1495) and (2149) follows:
% 16.13/4.30 | (2150) op2(e20, e20) = e20
% 16.13/4.30 |
% 16.13/4.30 | Instantiating formula (30) with e20, e20, all_0_87_87, e20 and discharging atoms op2(e20, e20) = all_0_87_87, op2(e20, e20) = e20, yields:
% 16.13/4.30 | (2188) all_0_87_87 = e20
% 16.13/4.30 |
% 16.13/4.30 | Instantiating formula (30) with e20, e20, all_0_91_91, all_0_87_87 and discharging atoms op2(e20, e20) = all_0_87_87, op2(e20, e20) = all_0_91_91, yields:
% 16.13/4.30 | (1526) all_0_87_87 = all_0_91_91
% 16.13/4.30 |
% 16.13/4.30 | Instantiating formula (30) with e20, e20, all_0_97_97, all_0_87_87 and discharging atoms op2(e20, e20) = all_0_87_87, op2(e20, e20) = all_0_97_97, yields:
% 16.13/4.30 | (1527) all_0_87_87 = all_0_97_97
% 16.13/4.30 |
% 16.13/4.30 | Combining equations (2188,1526) yields a new equation:
% 16.13/4.30 | (2191) all_0_91_91 = e20
% 16.13/4.30 |
% 16.13/4.30 | Combining equations (1527,1526) yields a new equation:
% 16.13/4.30 | (1529) all_0_91_91 = all_0_97_97
% 16.13/4.30 |
% 16.13/4.30 | Combining equations (2191,1529) yields a new equation:
% 16.13/4.30 | (2193) all_0_97_97 = e20
% 16.13/4.30 |
% 16.13/4.30 | From (2193)(2193) and (325) follows:
% 16.13/4.30 | (2194) op2(e20, e20) = all_0_81_81
% 16.13/4.30 |
% 16.13/4.30 | From (2193) and (1507) follows:
% 16.13/4.30 | (2195) op2(e20, e20) = all_0_83_83
% 16.13/4.30 |
% 16.13/4.30 | From (2193) and (1508) follows:
% 16.13/4.30 | (2196) op2(e20, e20) = all_0_89_89
% 16.13/4.30 |
% 16.13/4.30 | From (2193) and (1516) follows:
% 16.13/4.30 | (2150) op2(e20, e20) = e20
% 16.13/4.30 |
% 16.13/4.30 | Instantiating formula (30) with e20, e20, all_0_81_81, e20 and discharging atoms op2(e20, e20) = all_0_81_81, op2(e20, e20) = e20, yields:
% 16.13/4.30 | (2198) all_0_81_81 = e20
% 16.13/4.30 |
% 16.13/4.30 | Instantiating formula (30) with e20, e20, all_0_83_83, all_0_81_81 and discharging atoms op2(e20, e20) = all_0_81_81, op2(e20, e20) = all_0_83_83, yields:
% 16.13/4.30 | (2199) all_0_81_81 = all_0_83_83
% 16.13/4.30 |
% 16.13/4.30 | Instantiating formula (30) with e20, e20, all_0_89_89, all_0_83_83 and discharging atoms op2(e20, e20) = all_0_83_83, op2(e20, e20) = all_0_89_89, yields:
% 16.13/4.30 | (2200) all_0_83_83 = all_0_89_89
% 16.13/4.30 |
% 16.13/4.30 | Combining equations (2199,2198) yields a new equation:
% 16.13/4.30 | (2201) all_0_83_83 = e20
% 16.13/4.30 |
% 16.13/4.30 | Simplifying 2201 yields:
% 16.13/4.30 | (2202) all_0_83_83 = e20
% 16.13/4.30 |
% 16.13/4.30 | Combining equations (2200,2202) yields a new equation:
% 16.13/4.30 | (2203) all_0_89_89 = e20
% 16.13/4.30 |
% 16.13/4.30 | Simplifying 2203 yields:
% 16.13/4.30 | (1555) all_0_89_89 = e20
% 16.13/4.30 |
% 16.13/4.30 | From (1555) and (2196) follows:
% 16.13/4.30 | (2150) op2(e20, e20) = e20
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (245), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (404) all_0_117_117 = e11 & ( ~ (all_0_111_111 = e11) | all_0_113_113 = e13)
% 16.13/4.30 |
% 16.13/4.30 | Applying alpha-rule on (404) yields:
% 16.13/4.30 | (405) all_0_117_117 = e11
% 16.13/4.30 | (406) ~ (all_0_111_111 = e11) | all_0_113_113 = e13
% 16.13/4.30 |
% 16.13/4.30 | Equations (405) can reduce 19 to:
% 16.13/4.30 | (407) ~ (all_0_113_113 = e11)
% 16.13/4.30 |
% 16.13/4.30 | Equations (405) can reduce 340 to:
% 16.13/4.30 | (408) ~ (all_0_115_115 = e11)
% 16.13/4.30 |
% 16.13/4.30 | Equations (405) can reduce 142 to:
% 16.13/4.30 | (659) ~ (all_0_121_121 = e11)
% 16.13/4.30 |
% 16.13/4.30 | Simplifying 659 yields:
% 16.13/4.30 | (660) ~ (all_0_121_121 = e11)
% 16.13/4.30 |
% 16.13/4.30 | From (405) and (111) follows:
% 16.13/4.30 | (2213) h4(e11) = all_0_16_16
% 16.13/4.30 |
% 16.13/4.30 | Instantiating formula (346) with e11, all_0_16_16, all_0_93_93 and discharging atoms h4(e11) = all_0_16_16, h4(e11) = all_0_93_93, yields:
% 16.13/4.30 | (2214) all_0_16_16 = all_0_93_93
% 16.13/4.30 |
% 16.13/4.30 | From (2214) and (2213) follows:
% 16.13/4.30 | (280) h4(e11) = all_0_93_93
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (260), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (419) all_0_99_99 = e21
% 16.13/4.30 |
% 16.13/4.30 | Equations (419) can reduce 289 to:
% 16.13/4.30 | (2217) ~ (all_0_100_100 = e21)
% 16.13/4.30 |
% 16.13/4.30 | Simplifying 2217 yields:
% 16.13/4.30 | (1122) ~ (all_0_100_100 = e21)
% 16.13/4.30 |
% 16.13/4.30 | Equations (419) can reduce 221 to:
% 16.13/4.30 | (1251) ~ (all_0_102_102 = e21)
% 16.13/4.30 |
% 16.13/4.30 | Simplifying 1251 yields:
% 16.13/4.30 | (194) ~ (all_0_102_102 = e21)
% 16.13/4.30 |
% 16.13/4.30 | Equations (419) can reduce 233 to:
% 16.13/4.30 | (300) ~ (e21 = e20)
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (9), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (415) all_0_100_100 = e21
% 16.13/4.30 |
% 16.13/4.30 | Equations (415) can reduce 1122 to:
% 16.13/4.30 | (420) $false
% 16.13/4.30 |
% 16.13/4.30 |-The branch is then unsatisfiable
% 16.13/4.30 |-Branch two:
% 16.13/4.30 | (1122) ~ (all_0_100_100 = e21)
% 16.13/4.30 | (2225) all_0_100_100 = e22 | all_0_100_100 = e20
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (183), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (415) all_0_100_100 = e21
% 16.13/4.30 |
% 16.13/4.30 | Equations (415) can reduce 1122 to:
% 16.13/4.30 | (420) $false
% 16.13/4.30 |
% 16.13/4.30 |-The branch is then unsatisfiable
% 16.13/4.30 |-Branch two:
% 16.13/4.30 | (1122) ~ (all_0_100_100 = e21)
% 16.13/4.30 | (1123) all_0_104_104 = e21 | all_0_108_108 = e21
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (1123), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (432) all_0_104_104 = e21
% 16.13/4.30 |
% 16.13/4.30 | Combining equations (432,444) yields a new equation:
% 16.13/4.30 | (488) e21 = e20
% 16.13/4.30 |
% 16.13/4.30 | Simplifying 488 yields:
% 16.13/4.30 | (489) e21 = e20
% 16.13/4.30 |
% 16.13/4.30 | Equations (489) can reduce 300 to:
% 16.13/4.30 | (420) $false
% 16.13/4.30 |
% 16.13/4.30 |-The branch is then unsatisfiable
% 16.13/4.30 |-Branch two:
% 16.13/4.30 | (364) ~ (all_0_104_104 = e21)
% 16.13/4.30 | (1148) all_0_108_108 = e21
% 16.13/4.30 |
% 16.13/4.30 | Equations (1148) can reduce 124 to:
% 16.13/4.30 | (426) ~ (all_0_109_109 = e21)
% 16.13/4.30 |
% 16.13/4.30 | Simplifying 426 yields:
% 16.13/4.30 | (427) ~ (all_0_109_109 = e21)
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (160), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (440) all_0_109_109 = e21
% 16.13/4.30 |
% 16.13/4.30 | Equations (440) can reduce 427 to:
% 16.13/4.30 | (420) $false
% 16.13/4.30 |
% 16.13/4.30 |-The branch is then unsatisfiable
% 16.13/4.30 |-Branch two:
% 16.13/4.30 | (427) ~ (all_0_109_109 = e21)
% 16.13/4.30 | (443) all_0_109_109 = e23 | all_0_109_109 = e20
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (443), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (586) all_0_109_109 = e23
% 16.13/4.30 |
% 16.13/4.30 | Equations (586) can reduce 82 to:
% 16.13/4.30 | (508) ~ (all_0_105_105 = e23)
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (2225), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (487) all_0_100_100 = e20
% 16.13/4.30 |
% 16.13/4.30 | Equations (487) can reduce 491 to:
% 16.13/4.30 | (420) $false
% 16.13/4.30 |
% 16.13/4.30 |-The branch is then unsatisfiable
% 16.13/4.30 |-Branch two:
% 16.13/4.30 | (491) ~ (all_0_100_100 = e20)
% 16.13/4.30 | (451) all_0_100_100 = e22
% 16.13/4.30 |
% 16.13/4.30 | Equations (451) can reduce 491 to:
% 16.13/4.30 | (122) ~ (e22 = e20)
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (295), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (360) all_0_105_105 = e21
% 16.13/4.30 |
% 16.13/4.30 | Equations (360) can reduce 28 to:
% 16.13/4.30 | (363) ~ (all_0_103_103 = e21)
% 16.13/4.30 |
% 16.13/4.30 | Equations (360) can reduce 264 to:
% 16.13/4.30 | (367) ~ (e22 = e21)
% 16.13/4.30 |
% 16.13/4.30 | Simplifying 367 yields:
% 16.13/4.30 | (224) ~ (e22 = e21)
% 16.13/4.30 |
% 16.13/4.30 | Equations (360) can reduce 1142 to:
% 16.13/4.30 | (300) ~ (e21 = e20)
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (38), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (2254) all_0_107_107 = e22
% 16.13/4.30 |
% 16.13/4.30 | Equations (2254) can reduce 123 to:
% 16.13/4.30 | (536) ~ (all_0_103_103 = e22)
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (63), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (428) all_0_103_103 = e21
% 16.13/4.30 |
% 16.13/4.30 | Equations (428) can reduce 363 to:
% 16.13/4.30 | (420) $false
% 16.13/4.30 |
% 16.13/4.30 |-The branch is then unsatisfiable
% 16.13/4.30 |-Branch two:
% 16.13/4.30 | (363) ~ (all_0_103_103 = e21)
% 16.13/4.30 | (431) all_0_103_103 = e23 | all_0_103_103 = e22
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (431), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (541) all_0_103_103 = e23
% 16.13/4.30 |
% 16.13/4.30 | Equations (541) can reduce 118 to:
% 16.13/4.30 | (543) ~ (all_0_106_106 = e23)
% 16.13/4.30 |
% 16.13/4.30 | Simplifying 543 yields:
% 16.13/4.30 | (544) ~ (all_0_106_106 = e23)
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (302), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (545) all_0_106_106 = e23
% 16.13/4.30 |
% 16.13/4.30 | Equations (545) can reduce 544 to:
% 16.13/4.30 | (420) $false
% 16.13/4.30 |
% 16.13/4.30 |-The branch is then unsatisfiable
% 16.13/4.30 |-Branch two:
% 16.13/4.30 | (544) ~ (all_0_106_106 = e23)
% 16.13/4.30 | (548) all_0_106_106 = e22 | all_0_106_106 = e20
% 16.13/4.30 |
% 16.13/4.30 +-Applying beta-rule and splitting (548), into two cases.
% 16.13/4.30 |-Branch one:
% 16.13/4.30 | (555) all_0_106_106 = e20
% 16.13/4.30 |
% 16.13/4.30 | Equations (555) can reduce 1109 to:
% 16.13/4.30 | (420) $false
% 16.13/4.30 |
% 16.13/4.30 |-The branch is then unsatisfiable
% 16.13/4.30 |-Branch two:
% 16.13/4.30 | (1109) ~ (all_0_106_106 = e20)
% 16.13/4.31 | (579) all_0_106_106 = e22
% 16.13/4.31 |
% 16.13/4.31 | Equations (579) can reduce 222 to:
% 16.13/4.31 | (554) ~ (all_0_102_102 = e22)
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (88), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (473) all_0_102_102 = e23
% 16.13/4.31 |
% 16.13/4.31 | Equations (473) can reduce 194 to:
% 16.13/4.31 | (253) ~ (e23 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Equations (473) can reduce 478 to:
% 16.13/4.31 | (243) ~ (e23 = e20)
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (45), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (462) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22)) | (all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)))
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (462), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (463) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22))
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (463), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (464) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (464), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (465) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23))
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (465), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (466) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20))
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (466), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (467) all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Applying alpha-rule on (467) yields:
% 16.13/4.31 | (468) all_0_101_101 = e23
% 16.13/4.31 | (416) ~ (all_0_99_99 = e21)
% 16.13/4.31 | (470) ~ (all_0_105_105 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (495,468) yields a new equation:
% 16.13/4.31 | (476) e23 = e20
% 16.13/4.31 |
% 16.13/4.31 | Equations (476) can reduce 243 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (472) all_0_102_102 = e23 & ~ (all_0_110_110 = e20)
% 16.13/4.31 |
% 16.13/4.31 | Applying alpha-rule on (472) yields:
% 16.13/4.31 | (473) all_0_102_102 = e23
% 16.13/4.31 | (474) ~ (all_0_110_110 = e20)
% 16.13/4.31 |
% 16.13/4.31 | Equations (503) can reduce 474 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (505) all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)
% 16.13/4.31 |
% 16.13/4.31 | Applying alpha-rule on (505) yields:
% 16.13/4.31 | (428) all_0_103_103 = e21
% 16.13/4.31 | (507) ~ (all_0_99_99 = e23)
% 16.13/4.31 | (508) ~ (all_0_105_105 = e23)
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (541,428) yields a new equation:
% 16.13/4.31 | (1322) e23 = e21
% 16.13/4.31 |
% 16.13/4.31 | Simplifying 1322 yields:
% 16.13/4.31 | (1323) e23 = e21
% 16.13/4.31 |
% 16.13/4.31 | Equations (1323) can reduce 253 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (510) all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 16.13/4.31 |
% 16.13/4.31 | Applying alpha-rule on (510) yields:
% 16.13/4.31 | (432) all_0_104_104 = e21
% 16.13/4.31 | (512) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (444,432) yields a new equation:
% 16.13/4.31 | (489) e21 = e20
% 16.13/4.31 |
% 16.13/4.31 | Equations (489) can reduce 300 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (515) all_0_108_108 = e20 & ~ (all_0_110_110 = e22)
% 16.13/4.31 |
% 16.13/4.31 | Applying alpha-rule on (515) yields:
% 16.13/4.31 | (481) all_0_108_108 = e20
% 16.13/4.31 | (517) ~ (all_0_110_110 = e22)
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (1148,481) yields a new equation:
% 16.13/4.31 | (488) e21 = e20
% 16.13/4.31 |
% 16.13/4.31 | Simplifying 488 yields:
% 16.13/4.31 | (489) e21 = e20
% 16.13/4.31 |
% 16.13/4.31 | Equations (489) can reduce 300 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (521) all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 16.13/4.31 |
% 16.13/4.31 | Applying alpha-rule on (521) yields:
% 16.13/4.31 | (493) all_0_109_109 = e20
% 16.13/4.31 | (470) ~ (all_0_105_105 = e21)
% 16.13/4.31 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (586,493) yields a new equation:
% 16.13/4.31 | (499) e23 = e20
% 16.13/4.31 |
% 16.13/4.31 | Simplifying 499 yields:
% 16.13/4.31 | (476) e23 = e20
% 16.13/4.31 |
% 16.13/4.31 | Equations (476) can reduce 243 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (526) ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 16.13/4.31 |
% 16.13/4.31 | Applying alpha-rule on (526) yields:
% 16.13/4.31 | (470) ~ (all_0_105_105 = e21)
% 16.13/4.31 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 16.13/4.31 |
% 16.13/4.31 | Equations (360) can reduce 470 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (1084) ~ (all_0_102_102 = e23)
% 16.13/4.31 | (1965) all_0_102_102 = e22 | all_0_102_102 = e20
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (1965), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (475) all_0_102_102 = e20
% 16.13/4.31 |
% 16.13/4.31 | Equations (475) can reduce 478 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (478) ~ (all_0_102_102 = e20)
% 16.13/4.31 | (575) all_0_102_102 = e22
% 16.13/4.31 |
% 16.13/4.31 | Equations (575) can reduce 554 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (1112) ~ (all_0_103_103 = e23)
% 16.13/4.31 | (1113) all_0_103_103 = e22
% 16.13/4.31 |
% 16.13/4.31 | Equations (1113) can reduce 536 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (2329) ~ (all_0_107_107 = e22)
% 16.13/4.31 | (2330) all_0_108_108 = e22 | all_0_110_110 = e22
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (2330), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (460) all_0_108_108 = e22
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (1148,460) yields a new equation:
% 16.13/4.31 | (452) e22 = e21
% 16.13/4.31 |
% 16.13/4.31 | Equations (452) can reduce 224 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (540) ~ (all_0_108_108 = e22)
% 16.13/4.31 | (583) all_0_110_110 = e22
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (503,583) yields a new equation:
% 16.13/4.31 | (457) e22 = e20
% 16.13/4.31 |
% 16.13/4.31 | Equations (457) can reduce 122 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (470) ~ (all_0_105_105 = e21)
% 16.13/4.31 | (2339) all_0_105_105 = e23 | all_0_105_105 = e20
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (2339), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (1463) all_0_105_105 = e23
% 16.13/4.31 |
% 16.13/4.31 | Equations (1463) can reduce 508 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (508) ~ (all_0_105_105 = e23)
% 16.13/4.31 | (1139) all_0_105_105 = e20
% 16.13/4.31 |
% 16.13/4.31 | Equations (1139) can reduce 1142 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (1081) ~ (all_0_109_109 = e23)
% 16.13/4.31 | (493) all_0_109_109 = e20
% 16.13/4.31 |
% 16.13/4.31 | Equations (493) can reduce 502 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (416) ~ (all_0_99_99 = e21)
% 16.13/4.31 | (1190) all_0_100_100 = e21 | all_0_101_101 = e21
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (1190), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (415) all_0_100_100 = e21
% 16.13/4.31 |
% 16.13/4.31 | Equations (415) can reduce 303 to:
% 16.13/4.31 | (1268) ~ (all_0_108_108 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Simplifying 1268 yields:
% 16.13/4.31 | (1269) ~ (all_0_108_108 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Equations (415) can reduce 269 to:
% 16.13/4.31 | (1255) ~ (e23 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Simplifying 1255 yields:
% 16.13/4.31 | (253) ~ (e23 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Equations (415) can reduce 491 to:
% 16.13/4.31 | (300) ~ (e21 = e20)
% 16.13/4.31 |
% 16.13/4.31 | From (415) and (266) follows:
% 16.13/4.31 | (1257) op2(e23, e22) = e21
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (308), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (451) all_0_100_100 = e22
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (415,451) yields a new equation:
% 16.13/4.31 | (452) e22 = e21
% 16.13/4.31 |
% 16.13/4.31 | Equations (452) can reduce 224 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (454) ~ (all_0_100_100 = e22)
% 16.13/4.31 | (455) all_0_104_104 = e22 | all_0_108_108 = e22
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (455), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (456) all_0_104_104 = e22
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (456,444) yields a new equation:
% 16.13/4.31 | (482) e22 = e20
% 16.13/4.31 |
% 16.13/4.31 | Simplifying 482 yields:
% 16.13/4.31 | (457) e22 = e20
% 16.13/4.31 |
% 16.13/4.31 | Equations (457) can reduce 122 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (459) ~ (all_0_104_104 = e22)
% 16.13/4.31 | (460) all_0_108_108 = e22
% 16.13/4.31 |
% 16.13/4.31 | Equations (460) can reduce 134 to:
% 16.13/4.31 | (2329) ~ (all_0_107_107 = e22)
% 16.13/4.31 |
% 16.13/4.31 | Equations (460) can reduce 124 to:
% 16.13/4.31 | (2369) ~ (all_0_109_109 = e22)
% 16.13/4.31 |
% 16.13/4.31 | Simplifying 2369 yields:
% 16.13/4.31 | (154) ~ (all_0_109_109 = e22)
% 16.13/4.31 |
% 16.13/4.31 | Equations (460) can reduce 1269 to:
% 16.13/4.31 | (224) ~ (e22 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Equations (460) can reduce 446 to:
% 16.13/4.31 | (122) ~ (e22 = e20)
% 16.13/4.31 |
% 16.13/4.31 | From (460) and (75) follows:
% 16.13/4.31 | (2373) op2(e20, e22) = e22
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (229), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (2060) all_0_101_101 = e21
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (495,2060) yields a new equation:
% 16.13/4.31 | (489) e21 = e20
% 16.13/4.31 |
% 16.13/4.31 | Equations (489) can reduce 300 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (362) ~ (all_0_101_101 = e21)
% 16.13/4.31 | (2378) all_0_105_105 = e21 | all_0_109_109 = e21
% 16.13/4.31 |
% 16.13/4.31 | Equations (495) can reduce 362 to:
% 16.13/4.31 | (449) ~ (e21 = e20)
% 16.13/4.31 |
% 16.13/4.31 | Simplifying 449 yields:
% 16.13/4.31 | (300) ~ (e21 = e20)
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (295), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (360) all_0_105_105 = e21
% 16.13/4.31 |
% 16.13/4.31 | Equations (360) can reduce 82 to:
% 16.13/4.31 | (426) ~ (all_0_109_109 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Simplifying 426 yields:
% 16.13/4.31 | (427) ~ (all_0_109_109 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Equations (360) can reduce 264 to:
% 16.13/4.31 | (367) ~ (e22 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Simplifying 367 yields:
% 16.13/4.31 | (224) ~ (e22 = e21)
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (51), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (423) all_0_107_107 = e21
% 16.13/4.31 |
% 16.13/4.31 | Equations (423) can reduce 123 to:
% 16.13/4.31 | (363) ~ (all_0_103_103 = e21)
% 16.13/4.31 |
% 16.13/4.31 | Equations (423) can reduce 36 to:
% 16.13/4.31 | (300) ~ (e21 = e20)
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (262), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (1321) all_0_107_107 = e23
% 16.13/4.31 |
% 16.13/4.31 | Combining equations (423,1321) yields a new equation:
% 16.13/4.31 | (1323) e23 = e21
% 16.13/4.31 |
% 16.13/4.31 | Equations (1323) can reduce 253 to:
% 16.13/4.31 | (420) $false
% 16.13/4.31 |
% 16.13/4.31 |-The branch is then unsatisfiable
% 16.13/4.31 |-Branch two:
% 16.13/4.31 | (1325) ~ (all_0_107_107 = e23)
% 16.13/4.31 | (1326) all_0_109_109 = e23 | all_0_110_110 = e23
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (1326), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (586) all_0_109_109 = e23
% 16.13/4.31 |
% 16.13/4.31 | Equations (586) can reduce 502 to:
% 16.13/4.31 | (243) ~ (e23 = e20)
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (45), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (462) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22)) | (all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)))
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (462), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (463) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22))
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (463), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (464) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 16.13/4.31 |
% 16.13/4.31 +-Applying beta-rule and splitting (464), into two cases.
% 16.13/4.31 |-Branch one:
% 16.13/4.31 | (465) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23))
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (465), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (466) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20))
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (466), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (467) all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)
% 16.13/4.32 |
% 16.13/4.32 | Applying alpha-rule on (467) yields:
% 16.13/4.32 | (468) all_0_101_101 = e23
% 16.13/4.32 | (416) ~ (all_0_99_99 = e21)
% 16.13/4.32 | (470) ~ (all_0_105_105 = e21)
% 16.13/4.32 |
% 16.13/4.32 | Combining equations (495,468) yields a new equation:
% 16.13/4.32 | (476) e23 = e20
% 16.13/4.32 |
% 16.13/4.32 | Equations (476) can reduce 243 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (472) all_0_102_102 = e23 & ~ (all_0_110_110 = e20)
% 16.13/4.32 |
% 16.13/4.32 | Applying alpha-rule on (472) yields:
% 16.13/4.32 | (473) all_0_102_102 = e23
% 16.13/4.32 | (474) ~ (all_0_110_110 = e20)
% 16.13/4.32 |
% 16.13/4.32 | Equations (503) can reduce 474 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (505) all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)
% 16.13/4.32 |
% 16.13/4.32 | Applying alpha-rule on (505) yields:
% 16.13/4.32 | (428) all_0_103_103 = e21
% 16.13/4.32 | (507) ~ (all_0_99_99 = e23)
% 16.13/4.32 | (508) ~ (all_0_105_105 = e23)
% 16.13/4.32 |
% 16.13/4.32 | Equations (428) can reduce 363 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (510) all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 16.13/4.32 |
% 16.13/4.32 | Applying alpha-rule on (510) yields:
% 16.13/4.32 | (432) all_0_104_104 = e21
% 16.13/4.32 | (512) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 16.13/4.32 |
% 16.13/4.32 | Combining equations (444,432) yields a new equation:
% 16.13/4.32 | (489) e21 = e20
% 16.13/4.32 |
% 16.13/4.32 | Equations (489) can reduce 300 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (515) all_0_108_108 = e20 & ~ (all_0_110_110 = e22)
% 16.13/4.32 |
% 16.13/4.32 | Applying alpha-rule on (515) yields:
% 16.13/4.32 | (481) all_0_108_108 = e20
% 16.13/4.32 | (517) ~ (all_0_110_110 = e22)
% 16.13/4.32 |
% 16.13/4.32 | Combining equations (460,481) yields a new equation:
% 16.13/4.32 | (482) e22 = e20
% 16.13/4.32 |
% 16.13/4.32 | Simplifying 482 yields:
% 16.13/4.32 | (457) e22 = e20
% 16.13/4.32 |
% 16.13/4.32 | Equations (457) can reduce 122 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (521) all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 16.13/4.32 |
% 16.13/4.32 | Applying alpha-rule on (521) yields:
% 16.13/4.32 | (493) all_0_109_109 = e20
% 16.13/4.32 | (470) ~ (all_0_105_105 = e21)
% 16.13/4.32 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 16.13/4.32 |
% 16.13/4.32 | Combining equations (586,493) yields a new equation:
% 16.13/4.32 | (499) e23 = e20
% 16.13/4.32 |
% 16.13/4.32 | Simplifying 499 yields:
% 16.13/4.32 | (476) e23 = e20
% 16.13/4.32 |
% 16.13/4.32 | Equations (476) can reduce 243 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (526) ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 16.13/4.32 |
% 16.13/4.32 | Applying alpha-rule on (526) yields:
% 16.13/4.32 | (470) ~ (all_0_105_105 = e21)
% 16.13/4.32 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 16.13/4.32 |
% 16.13/4.32 | Equations (360) can reduce 470 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (1081) ~ (all_0_109_109 = e23)
% 16.13/4.32 | (1093) all_0_110_110 = e23
% 16.13/4.32 |
% 16.13/4.32 | Combining equations (503,1093) yields a new equation:
% 16.13/4.32 | (476) e23 = e20
% 16.13/4.32 |
% 16.13/4.32 | Equations (476) can reduce 243 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (1115) ~ (all_0_107_107 = e21)
% 16.13/4.32 | (1116) all_0_108_108 = e21 | all_0_109_109 = e21
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (1116), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (1148) all_0_108_108 = e21
% 16.13/4.32 |
% 16.13/4.32 | Combining equations (460,1148) yields a new equation:
% 16.13/4.32 | (1436) e22 = e21
% 16.13/4.32 |
% 16.13/4.32 | Simplifying 1436 yields:
% 16.13/4.32 | (452) e22 = e21
% 16.13/4.32 |
% 16.13/4.32 | Equations (452) can reduce 224 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (1269) ~ (all_0_108_108 = e21)
% 16.13/4.32 | (440) all_0_109_109 = e21
% 16.13/4.32 |
% 16.13/4.32 | Equations (440) can reduce 427 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (470) ~ (all_0_105_105 = e21)
% 16.13/4.32 | (2339) all_0_105_105 = e23 | all_0_105_105 = e20
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (317), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (428) all_0_103_103 = e21
% 16.13/4.32 |
% 16.13/4.32 | Equations (428) can reduce 28 to:
% 16.13/4.32 | (2454) ~ (all_0_105_105 = e21)
% 16.13/4.32 |
% 16.13/4.32 | Simplifying 2454 yields:
% 16.13/4.32 | (470) ~ (all_0_105_105 = e21)
% 16.13/4.32 |
% 16.13/4.32 | Equations (428) can reduce 123 to:
% 16.13/4.32 | (2456) ~ (all_0_107_107 = e21)
% 16.13/4.32 |
% 16.13/4.32 | Simplifying 2456 yields:
% 16.13/4.32 | (1115) ~ (all_0_107_107 = e21)
% 16.13/4.32 |
% 16.13/4.32 | From (428) and (138) follows:
% 16.13/4.32 | (2458) op2(e21, e23) = e21
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (51), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (423) all_0_107_107 = e21
% 16.13/4.32 |
% 16.13/4.32 | Equations (423) can reduce 1115 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (1115) ~ (all_0_107_107 = e21)
% 16.13/4.32 | (1116) all_0_108_108 = e21 | all_0_109_109 = e21
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (256), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (423) all_0_107_107 = e21
% 16.13/4.32 |
% 16.13/4.32 | Equations (423) can reduce 1115 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (1115) ~ (all_0_107_107 = e21)
% 16.13/4.32 | (2466) all_0_107_107 = e23 | all_0_107_107 = e22
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (341), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (1113) all_0_103_103 = e22
% 16.13/4.32 |
% 16.13/4.32 | Combining equations (428,1113) yields a new equation:
% 16.13/4.32 | (452) e22 = e21
% 16.13/4.32 |
% 16.13/4.32 | Equations (452) can reduce 224 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (536) ~ (all_0_103_103 = e22)
% 16.13/4.32 | (1451) all_0_104_104 = e22 | all_0_106_106 = e22
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (1451), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (456) all_0_104_104 = e22
% 16.13/4.32 |
% 16.13/4.32 | Combining equations (444,456) yields a new equation:
% 16.13/4.32 | (457) e22 = e20
% 16.13/4.32 |
% 16.13/4.32 | Equations (457) can reduce 122 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (459) ~ (all_0_104_104 = e22)
% 16.13/4.32 | (579) all_0_106_106 = e22
% 16.13/4.32 |
% 16.13/4.32 | Equations (579) can reduce 222 to:
% 16.13/4.32 | (554) ~ (all_0_102_102 = e22)
% 16.13/4.32 |
% 16.13/4.32 | Equations (579) can reduce 99 to:
% 16.13/4.32 | (264) ~ (all_0_105_105 = e22)
% 16.13/4.32 |
% 16.13/4.32 | From (579) and (115) follows:
% 16.13/4.32 | (2479) op2(e21, e20) = e22
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (88), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (473) all_0_102_102 = e23
% 16.13/4.32 |
% 16.13/4.32 | Equations (473) can reduce 478 to:
% 16.13/4.32 | (243) ~ (e23 = e20)
% 16.13/4.32 |
% 16.13/4.32 | From (473) and (129) follows:
% 16.13/4.32 | (1473) op2(e23, e20) = e23
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (2378), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (360) all_0_105_105 = e21
% 16.13/4.32 |
% 16.13/4.32 | Equations (360) can reduce 470 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (470) ~ (all_0_105_105 = e21)
% 16.13/4.32 | (440) all_0_109_109 = e21
% 16.13/4.32 |
% 16.13/4.32 | Equations (440) can reduce 3 to:
% 16.13/4.32 | (1115) ~ (all_0_107_107 = e21)
% 16.13/4.32 |
% 16.13/4.32 | Equations (440) can reduce 154 to:
% 16.13/4.32 | (367) ~ (e22 = e21)
% 16.13/4.32 |
% 16.13/4.32 | Simplifying 367 yields:
% 16.13/4.32 | (224) ~ (e22 = e21)
% 16.13/4.32 |
% 16.13/4.32 | From (440) and (39) follows:
% 16.13/4.32 | (2490) op2(e20, e21) = e21
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (263), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (468) all_0_101_101 = e23
% 16.13/4.32 |
% 16.13/4.32 | Combining equations (495,468) yields a new equation:
% 16.13/4.32 | (476) e23 = e20
% 16.13/4.32 |
% 16.13/4.32 | Equations (476) can reduce 243 to:
% 16.13/4.32 | (420) $false
% 16.13/4.32 |
% 16.13/4.32 |-The branch is then unsatisfiable
% 16.13/4.32 |-Branch two:
% 16.13/4.32 | (1461) ~ (all_0_101_101 = e23)
% 16.13/4.32 | (1462) all_0_105_105 = e23 | all_0_109_109 = e23
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (2466), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (1321) all_0_107_107 = e23
% 16.13/4.32 |
% 16.13/4.32 | Equations (1321) can reduce 1115 to:
% 16.13/4.32 | (253) ~ (e23 = e21)
% 16.13/4.32 |
% 16.13/4.32 | From (1321) and (208) follows:
% 16.13/4.32 | (2498) op2(e20, e23) = e23
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (1462), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (1463) all_0_105_105 = e23
% 16.13/4.32 |
% 16.13/4.32 | Equations (1463) can reduce 264 to:
% 16.13/4.32 | (25) ~ (e23 = e22)
% 16.13/4.32 |
% 16.13/4.32 | From (1463) and (26) follows:
% 16.13/4.32 | (2501) op2(all_0_96_96, e23) = all_0_58_58
% 16.13/4.32 |
% 16.13/4.32 | From (1463) and (77) follows:
% 16.13/4.32 | (2502) op2(e23, all_0_96_96) = all_0_45_45
% 16.13/4.32 |
% 16.13/4.32 | From (1463) and (16) follows:
% 16.13/4.32 | (2503) op2(e23, e21) = all_0_41_41
% 16.13/4.32 |
% 16.13/4.32 | From (1463) and (56) follows:
% 16.13/4.32 | (2504) op2(e21, e23) = all_0_96_96
% 16.13/4.32 |
% 16.13/4.32 | From (1463) and (206) follows:
% 16.13/4.32 | (2505) op2(e21, e21) = e23
% 16.13/4.32 |
% 16.13/4.32 +-Applying beta-rule and splitting (315), into two cases.
% 16.13/4.32 |-Branch one:
% 16.13/4.32 | (552) all_0_99_99 = e22
% 16.13/4.32 |
% 16.13/4.32 | From (552) and (144) follows:
% 16.13/4.32 | (1410) h4(e13) = e22
% 16.13/4.32 |
% 16.13/4.32 | From (552) and (250) follows:
% 16.13/4.32 | (1411) op2(all_0_93_93, e22) = all_0_11_11
% 16.13/4.32 |
% 16.13/4.32 | From (552) and (153) follows:
% 16.13/4.32 | (1412) op2(all_0_94_94, e22) = all_0_19_19
% 16.13/4.32 |
% 16.13/4.32 | From (552) and (69) follows:
% 16.13/4.32 | (1413) op2(e22, all_0_93_93) = all_0_4_4
% 16.13/4.32 |
% 16.13/4.32 | From (552) and (176) follows:
% 16.13/4.32 | (1414) op2(e22, all_0_94_94) = all_0_6_6
% 16.13/4.32 |
% 16.13/4.32 | From (552)(552) and (116) follows:
% 16.13/4.32 | (1415) op2(e22, e22) = all_0_0_0
% 16.13/4.32 |
% 16.13/4.32 | From (552) and (33) follows:
% 16.13/4.32 | (1416) op2(e22, e23) = all_0_2_2
% 16.13/4.32 |
% 16.13/4.32 | From (552) and (196) follows:
% 16.13/4.32 | (1417) op2(e23, e22) = all_0_94_94
% 16.13/4.32 |
% 16.13/4.32 | Instantiating formula (30) with e23, e22, all_0_94_94, e21 and discharging atoms op2(e23, e22) = all_0_94_94, op2(e23, e22) = e21, yields:
% 16.13/4.32 | (1490) all_0_94_94 = e21
% 16.13/4.32 |
% 16.13/4.32 | Instantiating formula (30) with e23, e21, all_0_41_41, e20 and discharging atoms op2(e23, e21) = all_0_41_41, op2(e23, e21) = e20, yields:
% 16.13/4.32 | (2516) all_0_41_41 = e20
% 16.13/4.32 |
% 16.13/4.32 | Instantiating formula (30) with e22, e23, all_0_2_2, e20 and discharging atoms op2(e22, e23) = all_0_2_2, op2(e22, e23) = e20, yields:
% 16.13/4.32 | (1491) all_0_2_2 = e20
% 16.13/4.32 |
% 16.13/4.32 | Instantiating formula (30) with e22, e22, all_0_0_0, e23 and discharging atoms op2(e22, e22) = all_0_0_0, op2(e22, e22) = e23, yields:
% 16.13/4.32 | (1492) all_0_0_0 = e23
% 16.13/4.32 |
% 16.13/4.32 | Instantiating formula (30) with e21, e23, e21, all_0_96_96 and discharging atoms op2(e21, e23) = all_0_96_96, op2(e21, e23) = e21, yields:
% 16.13/4.32 | (379) all_0_96_96 = e21
% 16.13/4.32 |
% 16.13/4.32 | Combining equations (1490,348) yields a new equation:
% 16.13/4.33 | (1499) all_0_8_8 = e21
% 16.13/4.33 |
% 16.13/4.33 | From (1490) and (125) follows:
% 16.13/4.33 | (2521) h4(e10) = e21
% 16.13/4.33 |
% 16.13/4.33 | From (1490) and (164) follows:
% 16.13/4.33 | (1502) op2(all_0_93_93, e21) = all_0_17_17
% 16.13/4.33 |
% 16.13/4.33 | From (1490) and (107) follows:
% 16.13/4.33 | (1503) op2(e21, all_0_93_93) = all_0_23_23
% 16.13/4.33 |
% 16.13/4.33 | From (1490)(1490) and (338) follows:
% 16.13/4.33 | (1504) op2(e21, e21) = all_0_25_25
% 16.13/4.33 |
% 16.13/4.33 | From (1490) and (65) follows:
% 16.13/4.33 | (1505) op2(e21, e23) = all_0_21_21
% 16.13/4.33 |
% 16.13/4.33 | From (1490) and (1412) follows:
% 16.13/4.33 | (1506) op2(e21, e22) = all_0_19_19
% 16.13/4.33 |
% 16.13/4.33 | From (379)(379) and (23) follows:
% 16.13/4.33 | (382) op2(e21, e21) = all_0_64_64
% 16.13/4.33 |
% 16.13/4.33 | From (379) and (2501) follows:
% 16.13/4.33 | (2528) op2(e21, e23) = all_0_58_58
% 16.13/4.33 |
% 16.13/4.33 | From (379) and (258) follows:
% 16.13/4.33 | (383) op2(e21, e21) = all_0_60_60
% 16.13/4.33 |
% 16.13/4.33 | From (1490) and (223) follows:
% 16.13/4.33 | (1512) op2(e23, e21) = all_0_93_93
% 16.13/4.33 |
% 16.13/4.33 | From (379) and (2502) follows:
% 16.13/4.33 | (2531) op2(e23, e21) = all_0_45_45
% 16.13/4.33 |
% 16.13/4.33 | From (2516) and (2503) follows:
% 16.13/4.33 | (1457) op2(e23, e21) = e20
% 16.13/4.33 |
% 16.13/4.33 | From (1490) and (1414) follows:
% 16.13/4.33 | (1513) op2(e22, e21) = all_0_6_6
% 16.13/4.33 |
% 16.13/4.33 | From (379) and (2504) follows:
% 16.13/4.33 | (2458) op2(e21, e23) = e21
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e23, e21, all_0_45_45, e20 and discharging atoms op2(e23, e21) = all_0_45_45, op2(e23, e21) = e20, yields:
% 16.13/4.33 | (2535) all_0_45_45 = e20
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e23, e21, all_0_93_93, all_0_45_45 and discharging atoms op2(e23, e21) = all_0_45_45, op2(e23, e21) = all_0_93_93, yields:
% 16.13/4.33 | (2536) all_0_45_45 = all_0_93_93
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e22, e21, all_0_6_6, e22 and discharging atoms op2(e22, e21) = all_0_6_6, op2(e22, e21) = e22, yields:
% 16.13/4.33 | (1519) all_0_6_6 = e22
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e21, e23, all_0_21_21, e21 and discharging atoms op2(e21, e23) = all_0_21_21, op2(e21, e23) = e21, yields:
% 16.13/4.33 | (2538) all_0_21_21 = e21
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e21, e23, all_0_58_58, all_0_21_21 and discharging atoms op2(e21, e23) = all_0_21_21, op2(e21, e23) = all_0_58_58, yields:
% 16.13/4.33 | (2539) all_0_21_21 = all_0_58_58
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e21, e22, all_0_19_19, e20 and discharging atoms op2(e21, e22) = all_0_19_19, op2(e21, e22) = e20, yields:
% 16.13/4.33 | (2540) all_0_19_19 = e20
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e21, e21, all_0_60_60, e23 and discharging atoms op2(e21, e21) = all_0_60_60, op2(e21, e21) = e23, yields:
% 16.13/4.33 | (2541) all_0_60_60 = e23
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e21, e21, all_0_60_60, all_0_25_25 and discharging atoms op2(e21, e21) = all_0_25_25, op2(e21, e21) = all_0_60_60, yields:
% 16.13/4.33 | (2542) all_0_25_25 = all_0_60_60
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e21, e21, all_0_64_64, all_0_25_25 and discharging atoms op2(e21, e21) = all_0_25_25, op2(e21, e21) = all_0_64_64, yields:
% 16.13/4.33 | (2543) all_0_25_25 = all_0_64_64
% 16.13/4.33 |
% 16.13/4.33 | Combining equations (2538,2539) yields a new equation:
% 16.13/4.33 | (2544) all_0_58_58 = e21
% 16.13/4.33 |
% 16.13/4.33 | Combining equations (2542,2543) yields a new equation:
% 16.13/4.33 | (2545) all_0_60_60 = all_0_64_64
% 16.13/4.33 |
% 16.13/4.33 | Simplifying 2545 yields:
% 16.13/4.33 | (387) all_0_60_60 = all_0_64_64
% 16.13/4.33 |
% 16.13/4.33 | Combining equations (2535,2536) yields a new equation:
% 16.13/4.33 | (1518) all_0_93_93 = e20
% 16.13/4.33 |
% 16.13/4.33 | Combining equations (387,2541) yields a new equation:
% 16.13/4.33 | (2548) all_0_64_64 = e23
% 16.13/4.33 |
% 16.13/4.33 | Simplifying 2548 yields:
% 16.13/4.33 | (2549) all_0_64_64 = e23
% 16.13/4.33 |
% 16.13/4.33 | Combining equations (2549,2543) yields a new equation:
% 16.13/4.33 | (2550) all_0_25_25 = e23
% 16.13/4.33 |
% 16.13/4.33 | Combining equations (2544,2539) yields a new equation:
% 16.13/4.33 | (2538) all_0_21_21 = e21
% 16.13/4.33 |
% 16.13/4.33 | Combining equations (1518,2214) yields a new equation:
% 16.13/4.33 | (2552) all_0_16_16 = e20
% 16.13/4.33 |
% 16.13/4.33 | Combining equations (1518,347) yields a new equation:
% 16.13/4.33 | (1531) all_0_10_10 = e20
% 16.13/4.33 |
% 16.13/4.33 | From (1518) and (280) follows:
% 16.13/4.33 | (1532) h4(e11) = e20
% 16.13/4.33 |
% 16.13/4.33 | From (1518)(1518) and (44) follows:
% 16.13/4.33 | (1533) op2(e20, e20) = all_0_15_15
% 16.13/4.33 |
% 16.13/4.33 | From (1518) and (214) follows:
% 16.13/4.33 | (1534) op2(e20, e23) = all_0_13_13
% 16.13/4.33 |
% 16.13/4.33 | From (1518) and (1411) follows:
% 16.13/4.33 | (1535) op2(e20, e22) = all_0_11_11
% 16.13/4.33 |
% 16.13/4.33 | From (1518) and (1502) follows:
% 16.13/4.33 | (1536) op2(e20, e21) = all_0_17_17
% 16.13/4.33 |
% 16.13/4.33 | From (1518) and (109) follows:
% 16.13/4.33 | (1538) op2(e23, e20) = all_0_9_9
% 16.13/4.33 |
% 16.13/4.33 | From (1518) and (1413) follows:
% 16.13/4.33 | (1539) op2(e22, e20) = all_0_4_4
% 16.13/4.33 |
% 16.13/4.33 | From (1518) and (1503) follows:
% 16.13/4.33 | (1541) op2(e21, e20) = all_0_23_23
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e23, e20, all_0_9_9, e23 and discharging atoms op2(e23, e20) = all_0_9_9, op2(e23, e20) = e23, yields:
% 16.13/4.33 | (1545) all_0_9_9 = e23
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e22, e20, all_0_4_4, e21 and discharging atoms op2(e22, e20) = all_0_4_4, op2(e22, e20) = e21, yields:
% 16.13/4.33 | (1546) all_0_4_4 = e21
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e21, e20, all_0_23_23, e22 and discharging atoms op2(e21, e20) = all_0_23_23, op2(e21, e20) = e22, yields:
% 16.13/4.33 | (2564) all_0_23_23 = e22
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e20, e23, all_0_13_13, e23 and discharging atoms op2(e20, e23) = all_0_13_13, op2(e20, e23) = e23, yields:
% 16.13/4.33 | (2565) all_0_13_13 = e23
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e20, e22, all_0_11_11, e22 and discharging atoms op2(e20, e22) = all_0_11_11, op2(e20, e22) = e22, yields:
% 16.13/4.33 | (2566) all_0_11_11 = e22
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e20, e21, all_0_17_17, e21 and discharging atoms op2(e20, e21) = all_0_17_17, op2(e20, e21) = e21, yields:
% 16.13/4.33 | (2567) all_0_17_17 = e21
% 16.13/4.33 |
% 16.13/4.33 | Instantiating formula (30) with e20, e20, all_0_15_15, e20 and discharging atoms op2(e20, e20) = all_0_15_15, op2(e20, e20) = e20, yields:
% 16.13/4.33 | (2568) all_0_15_15 = e20
% 16.13/4.33 |
% 16.13/4.33 +-Applying beta-rule and splitting (94), into two cases.
% 16.13/4.33 |-Branch one:
% 16.13/4.33 | (680) all_0_121_121 = e11
% 16.13/4.33 |
% 16.13/4.33 | Equations (680) can reduce 660 to:
% 16.13/4.33 | (420) $false
% 16.13/4.33 |
% 16.13/4.33 |-The branch is then unsatisfiable
% 16.13/4.33 |-Branch two:
% 16.13/4.33 | (660) ~ (all_0_121_121 = e11)
% 16.13/4.33 | (683) all_0_121_121 = e13 | all_0_121_121 = e10
% 16.13/4.33 |
% 16.13/4.33 +-Applying beta-rule and splitting (110), into two cases.
% 16.13/4.33 |-Branch one:
% 16.13/4.33 | (587) all_0_111_111 = e11
% 16.13/4.33 |
% 16.13/4.33 | Equations (587) can reduce 218 to:
% 16.13/4.33 | (590) ~ (all_0_115_115 = e11)
% 16.13/4.33 |
% 16.13/4.33 | Simplifying 590 yields:
% 16.13/4.33 | (408) ~ (all_0_115_115 = e11)
% 16.13/4.33 |
% 16.13/4.33 | Equations (587) can reduce 173 to:
% 16.13/4.33 | (1591) ~ (all_0_119_119 = e11)
% 16.13/4.33 |
% 16.13/4.33 | Simplifying 1591 yields:
% 16.13/4.33 | (1592) ~ (all_0_119_119 = e11)
% 16.13/4.33 |
% 16.13/4.33 | Equations (587) can reduce 333 to:
% 16.13/4.33 | (271) ~ (e11 = e10)
% 16.13/4.33 |
% 16.13/4.33 +-Applying beta-rule and splitting (61), into two cases.
% 16.13/4.33 |-Branch one:
% 16.13/4.33 | (657) all_0_119_119 = e11
% 16.13/4.33 |
% 16.13/4.33 | Equations (657) can reduce 1592 to:
% 16.13/4.33 | (420) $false
% 16.13/4.33 |
% 16.13/4.33 |-The branch is then unsatisfiable
% 16.13/4.33 |-Branch two:
% 16.13/4.33 | (1592) ~ (all_0_119_119 = e11)
% 16.13/4.33 | (1765) all_0_120_120 = e11 | all_0_121_121 = e11
% 16.13/4.33 |
% 16.13/4.33 +-Applying beta-rule and splitting (1765), into two cases.
% 16.13/4.33 |-Branch one:
% 16.13/4.34 | (600) all_0_120_120 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (600) can reduce 158 to:
% 16.13/4.34 | (409) ~ (all_0_116_116 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Equations (600) can reduce 232 to:
% 16.13/4.34 | (659) ~ (all_0_121_121 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 659 yields:
% 16.13/4.34 | (660) ~ (all_0_121_121 = e11)
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (406), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (609) ~ (all_0_111_111 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Equations (587) can reduce 609 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (587) all_0_111_111 = e11
% 16.13/4.34 | (608) all_0_113_113 = e13
% 16.13/4.34 |
% 16.13/4.34 | Equations (608) can reduce 169 to:
% 16.13/4.34 | (970) ~ (all_0_114_114 = e13)
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 970 yields:
% 16.13/4.34 | (874) ~ (all_0_114_114 = e13)
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (62), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (718) all_0_113_113 = e10
% 16.13/4.34 |
% 16.13/4.34 | Combining equations (718,608) yields a new equation:
% 16.13/4.34 | (735) e13 = e10
% 16.13/4.34 |
% 16.13/4.34 | Equations (735) can reduce 179 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (926) ~ (all_0_113_113 = e10)
% 16.13/4.34 | (927) all_0_117_117 = e10 | all_0_121_121 = e10
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (927), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (935) all_0_117_117 = e10
% 16.13/4.34 |
% 16.13/4.34 | Combining equations (405,935) yields a new equation:
% 16.13/4.34 | (929) e11 = e10
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 929 yields:
% 16.13/4.34 | (637) e11 = e10
% 16.13/4.34 |
% 16.13/4.34 | Equations (637) can reduce 271 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (939) ~ (all_0_117_117 = e10)
% 16.13/4.34 | (640) all_0_121_121 = e10
% 16.13/4.34 |
% 16.13/4.34 | Equations (640) can reduce 660 to:
% 16.13/4.34 | (917) ~ (e11 = e10)
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 917 yields:
% 16.13/4.34 | (271) ~ (e11 = e10)
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (14), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (602), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (603), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (604), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (605), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (606), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Applying alpha-rule on (607) yields:
% 16.13/4.34 | (608) all_0_113_113 = e13
% 16.13/4.34 | (609) ~ (all_0_111_111 = e11)
% 16.13/4.34 | (610) ~ (all_0_117_117 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Equations (405) can reduce 610 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 16.13/4.34 |
% 16.13/4.34 | Applying alpha-rule on (612) yields:
% 16.13/4.34 | (613) all_0_114_114 = e13
% 16.13/4.34 | (614) ~ (all_0_122_122 = e10)
% 16.13/4.34 |
% 16.13/4.34 | Equations (613) can reduce 874 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 16.13/4.34 |
% 16.13/4.34 | Applying alpha-rule on (625) yields:
% 16.13/4.34 | (626) all_0_115_115 = e11
% 16.13/4.34 | (627) ~ (all_0_111_111 = e13)
% 16.13/4.34 | (628) ~ (all_0_117_117 = e13)
% 16.13/4.34 |
% 16.13/4.34 | Equations (626) can reduce 408 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 16.13/4.34 |
% 16.13/4.34 | Applying alpha-rule on (630) yields:
% 16.13/4.34 | (597) all_0_116_116 = e11
% 16.13/4.34 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 16.13/4.34 |
% 16.13/4.34 | Equations (597) can reduce 409 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 16.13/4.34 |
% 16.13/4.34 | Applying alpha-rule on (634) yields:
% 16.13/4.34 | (635) all_0_120_120 = e10
% 16.13/4.34 | (636) ~ (all_0_122_122 = e12)
% 16.13/4.34 |
% 16.13/4.34 | Combining equations (600,635) yields a new equation:
% 16.13/4.34 | (929) e11 = e10
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 929 yields:
% 16.13/4.34 | (637) e11 = e10
% 16.13/4.34 |
% 16.13/4.34 | Equations (637) can reduce 271 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.13/4.34 |
% 16.13/4.34 | Applying alpha-rule on (639) yields:
% 16.13/4.34 | (640) all_0_121_121 = e10
% 16.13/4.34 | (610) ~ (all_0_117_117 = e11)
% 16.13/4.34 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.13/4.34 |
% 16.13/4.34 | Equations (405) can reduce 610 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.13/4.34 |
% 16.13/4.34 | Applying alpha-rule on (644) yields:
% 16.13/4.34 | (610) ~ (all_0_117_117 = e11)
% 16.13/4.34 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.13/4.34 |
% 16.13/4.34 | Equations (405) can reduce 610 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (670) ~ (all_0_120_120 = e11)
% 16.13/4.34 | (680) all_0_121_121 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (680) can reduce 660 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (609) ~ (all_0_111_111 = e11)
% 16.13/4.34 | (649) all_0_115_115 = e11 | all_0_119_119 = e11
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (48), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (587) all_0_111_111 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (587) can reduce 609 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (609) ~ (all_0_111_111 = e11)
% 16.13/4.34 | (653) all_0_112_112 = e11 | all_0_113_113 = e11
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (653), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (593) all_0_112_112 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (593) can reduce 207 to:
% 16.13/4.34 | (665) ~ (all_0_113_113 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 665 yields:
% 16.13/4.34 | (407) ~ (all_0_113_113 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Equations (593) can reduce 234 to:
% 16.13/4.34 | (1560) ~ (all_0_114_114 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 1560 yields:
% 16.13/4.34 | (108) ~ (all_0_114_114 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Equations (593) can reduce 310 to:
% 16.13/4.34 | (667) ~ (all_0_116_116 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 667 yields:
% 16.13/4.34 | (409) ~ (all_0_116_116 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Equations (593) can reduce 276 to:
% 16.13/4.34 | (1564) ~ (e13 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 1564 yields:
% 16.13/4.34 | (323) ~ (e13 = e11)
% 16.13/4.34 |
% 16.13/4.34 | From (593) and (190) follows:
% 16.13/4.34 | (1566) h4(e11) = all_0_3_3
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (649), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (626) all_0_115_115 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (626) can reduce 408 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (408) ~ (all_0_115_115 = e11)
% 16.13/4.34 | (657) all_0_119_119 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (657) can reduce 173 to:
% 16.13/4.34 | (609) ~ (all_0_111_111 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Equations (657) can reduce 27 to:
% 16.13/4.34 | (408) ~ (all_0_115_115 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Equations (657) can reduce 21 to:
% 16.13/4.34 | (659) ~ (all_0_121_121 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 659 yields:
% 16.13/4.34 | (660) ~ (all_0_121_121 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Equations (657) can reduce 329 to:
% 16.13/4.34 | (271) ~ (e11 = e10)
% 16.13/4.34 |
% 16.13/4.34 | From (657) and (52) follows:
% 16.13/4.34 | (2672) h4(e11) = all_0_20_20
% 16.13/4.34 |
% 16.13/4.34 | Instantiating formula (346) with e11, all_0_3_3, e20 and discharging atoms h4(e11) = all_0_3_3, h4(e11) = e20, yields:
% 16.13/4.34 | (1586) all_0_3_3 = e20
% 16.13/4.34 |
% 16.13/4.34 | Instantiating formula (346) with e11, all_0_20_20, all_0_3_3 and discharging atoms h4(e11) = all_0_3_3, h4(e11) = all_0_20_20, yields:
% 16.13/4.34 | (2674) all_0_3_3 = all_0_20_20
% 16.13/4.34 |
% 16.13/4.34 | Combining equations (1586,2674) yields a new equation:
% 16.13/4.34 | (2675) all_0_20_20 = e20
% 16.13/4.34 |
% 16.13/4.34 | Combining equations (2675,2674) yields a new equation:
% 16.13/4.34 | (1586) all_0_3_3 = e20
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (187), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (587) all_0_111_111 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (587) can reduce 609 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (609) ~ (all_0_111_111 = e11)
% 16.13/4.34 | (691) all_0_111_111 = e13 | all_0_111_111 = e12
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (217), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (597) all_0_116_116 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (597) can reduce 409 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (409) ~ (all_0_116_116 = e11)
% 16.13/4.34 | (679) all_0_116_116 = e12 | all_0_116_116 = e10
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (46), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (626) all_0_115_115 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (626) can reduce 408 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (408) ~ (all_0_115_115 = e11)
% 16.13/4.34 | (699) all_0_115_115 = e13 | all_0_115_115 = e12
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (301), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (692) all_0_113_113 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (692) can reduce 407 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (407) ~ (all_0_113_113 = e11)
% 16.13/4.34 | (695) all_0_113_113 = e13 | all_0_113_113 = e10
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (320), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (608) all_0_113_113 = e13
% 16.13/4.34 |
% 16.13/4.34 | Equations (608) can reduce 278 to:
% 16.13/4.34 | (627) ~ (all_0_111_111 = e13)
% 16.13/4.34 |
% 16.13/4.34 | Equations (608) can reduce 169 to:
% 16.13/4.34 | (970) ~ (all_0_114_114 = e13)
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 970 yields:
% 16.13/4.34 | (874) ~ (all_0_114_114 = e13)
% 16.13/4.34 |
% 16.13/4.34 | Equations (608) can reduce 407 to:
% 16.13/4.34 | (323) ~ (e13 = e11)
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (136), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (1598) all_0_119_119 = e13
% 16.13/4.34 |
% 16.13/4.34 | Combining equations (1598,657) yields a new equation:
% 16.13/4.34 | (1622) e13 = e11
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 1622 yields:
% 16.13/4.34 | (850) e13 = e11
% 16.13/4.34 |
% 16.13/4.34 | Equations (850) can reduce 323 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (1773) ~ (all_0_119_119 = e13)
% 16.13/4.34 | (1791) all_0_121_121 = e13 | all_0_122_122 = e13
% 16.13/4.34 |
% 16.13/4.34 | Equations (657) can reduce 1773 to:
% 16.13/4.34 | (1564) ~ (e13 = e11)
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 1564 yields:
% 16.13/4.34 | (323) ~ (e13 = e11)
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (17), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (928) all_0_112_112 = e10
% 16.13/4.34 |
% 16.13/4.34 | Combining equations (593,928) yields a new equation:
% 16.13/4.34 | (929) e11 = e10
% 16.13/4.34 |
% 16.13/4.34 | Simplifying 929 yields:
% 16.13/4.34 | (637) e11 = e10
% 16.13/4.34 |
% 16.13/4.34 | Equations (637) can reduce 271 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (932) ~ (all_0_112_112 = e10)
% 16.13/4.34 | (933) all_0_113_113 = e10 | all_0_114_114 = e10
% 16.13/4.34 |
% 16.13/4.34 +-Applying beta-rule and splitting (96), into two cases.
% 16.13/4.34 |-Branch one:
% 16.13/4.34 | (880) all_0_111_111 = e13
% 16.13/4.34 |
% 16.13/4.34 | Equations (880) can reduce 627 to:
% 16.13/4.34 | (420) $false
% 16.13/4.34 |
% 16.13/4.34 |-The branch is then unsatisfiable
% 16.13/4.34 |-Branch two:
% 16.13/4.34 | (627) ~ (all_0_111_111 = e13)
% 16.13/4.35 | (2715) all_0_115_115 = e13 | all_0_119_119 = e13
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (933), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (718) all_0_113_113 = e10
% 16.13/4.35 |
% 16.13/4.35 | Combining equations (608,718) yields a new equation:
% 16.13/4.35 | (840) e13 = e10
% 16.13/4.35 |
% 16.13/4.35 | Simplifying 840 yields:
% 16.13/4.35 | (735) e13 = e10
% 16.13/4.35 |
% 16.13/4.35 | Equations (735) can reduce 179 to:
% 16.13/4.35 | (420) $false
% 16.13/4.35 |
% 16.13/4.35 |-The branch is then unsatisfiable
% 16.13/4.35 |-Branch two:
% 16.13/4.35 | (926) ~ (all_0_113_113 = e10)
% 16.13/4.35 | (734) all_0_114_114 = e10
% 16.13/4.35 |
% 16.13/4.35 | Equations (734) can reduce 874 to:
% 16.13/4.35 | (915) ~ (e13 = e10)
% 16.13/4.35 |
% 16.13/4.35 | Simplifying 915 yields:
% 16.13/4.35 | (179) ~ (e13 = e10)
% 16.13/4.35 |
% 16.13/4.35 | Equations (734) can reduce 108 to:
% 16.13/4.35 | (917) ~ (e11 = e10)
% 16.13/4.35 |
% 16.13/4.35 | Simplifying 917 yields:
% 16.13/4.35 | (271) ~ (e11 = e10)
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (62), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (718) all_0_113_113 = e10
% 16.13/4.35 |
% 16.13/4.35 | Combining equations (718,608) yields a new equation:
% 16.13/4.35 | (735) e13 = e10
% 16.13/4.35 |
% 16.13/4.35 | Equations (735) can reduce 179 to:
% 16.13/4.35 | (420) $false
% 16.13/4.35 |
% 16.13/4.35 |-The branch is then unsatisfiable
% 16.13/4.35 |-Branch two:
% 16.13/4.35 | (926) ~ (all_0_113_113 = e10)
% 16.13/4.35 | (927) all_0_117_117 = e10 | all_0_121_121 = e10
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (927), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (935) all_0_117_117 = e10
% 16.13/4.35 |
% 16.13/4.35 | Combining equations (405,935) yields a new equation:
% 16.13/4.35 | (929) e11 = e10
% 16.13/4.35 |
% 16.13/4.35 | Simplifying 929 yields:
% 16.13/4.35 | (637) e11 = e10
% 16.13/4.35 |
% 16.13/4.35 | Equations (637) can reduce 271 to:
% 16.13/4.35 | (420) $false
% 16.13/4.35 |
% 16.13/4.35 |-The branch is then unsatisfiable
% 16.13/4.35 |-Branch two:
% 16.13/4.35 | (939) ~ (all_0_117_117 = e10)
% 16.13/4.35 | (640) all_0_121_121 = e10
% 16.13/4.35 |
% 16.13/4.35 | Equations (640) can reduce 232 to:
% 16.13/4.35 | (823) ~ (all_0_120_120 = e10)
% 16.13/4.35 |
% 16.13/4.35 | Equations (640) can reduce 660 to:
% 16.13/4.35 | (917) ~ (e11 = e10)
% 16.13/4.35 |
% 16.13/4.35 | Simplifying 917 yields:
% 16.13/4.35 | (271) ~ (e11 = e10)
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (2715), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (704) all_0_115_115 = e13
% 16.13/4.35 |
% 16.13/4.35 | Equations (704) can reduce 71 to:
% 16.13/4.35 | (2741) ~ (all_0_116_116 = e13)
% 16.13/4.35 |
% 16.13/4.35 | Simplifying 2741 yields:
% 16.13/4.35 | (84) ~ (all_0_116_116 = e13)
% 16.13/4.35 |
% 16.13/4.35 | Equations (704) can reduce 408 to:
% 16.13/4.35 | (323) ~ (e13 = e11)
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (114), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (928) all_0_112_112 = e10
% 16.13/4.35 |
% 16.13/4.35 | Combining equations (593,928) yields a new equation:
% 16.13/4.35 | (929) e11 = e10
% 16.13/4.35 |
% 16.13/4.35 | Simplifying 929 yields:
% 16.13/4.35 | (637) e11 = e10
% 16.13/4.35 |
% 16.13/4.35 | Equations (637) can reduce 271 to:
% 16.13/4.35 | (420) $false
% 16.13/4.35 |
% 16.13/4.35 |-The branch is then unsatisfiable
% 16.13/4.35 |-Branch two:
% 16.13/4.35 | (932) ~ (all_0_112_112 = e10)
% 16.13/4.35 | (2116) all_0_116_116 = e10 | all_0_120_120 = e10
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (2116), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (745) all_0_116_116 = e10
% 16.13/4.35 |
% 16.13/4.35 | Equations (745) can reduce 158 to:
% 16.13/4.35 | (1228) ~ (all_0_120_120 = e10)
% 16.13/4.35 |
% 16.13/4.35 | Simplifying 1228 yields:
% 16.13/4.35 | (823) ~ (all_0_120_120 = e10)
% 16.13/4.35 |
% 16.13/4.35 | Equations (745) can reduce 84 to:
% 16.13/4.35 | (915) ~ (e13 = e10)
% 16.13/4.35 |
% 16.13/4.35 | Simplifying 915 yields:
% 16.13/4.35 | (179) ~ (e13 = e10)
% 16.13/4.35 |
% 16.13/4.35 | Equations (745) can reduce 409 to:
% 16.13/4.35 | (917) ~ (e11 = e10)
% 16.13/4.35 |
% 16.13/4.35 | Simplifying 917 yields:
% 16.13/4.35 | (271) ~ (e11 = e10)
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (14), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (602), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (603), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (604), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (605), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 16.13/4.35 |
% 16.13/4.35 +-Applying beta-rule and splitting (606), into two cases.
% 16.13/4.35 |-Branch one:
% 16.13/4.35 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 16.13/4.35 |
% 16.38/4.35 | Applying alpha-rule on (607) yields:
% 16.38/4.35 | (608) all_0_113_113 = e13
% 16.38/4.35 | (609) ~ (all_0_111_111 = e11)
% 16.38/4.35 | (610) ~ (all_0_117_117 = e11)
% 16.38/4.35 |
% 16.38/4.35 | Equations (405) can reduce 610 to:
% 16.38/4.35 | (420) $false
% 16.38/4.35 |
% 16.38/4.35 |-The branch is then unsatisfiable
% 16.38/4.35 |-Branch two:
% 16.38/4.35 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 16.38/4.35 |
% 16.38/4.35 | Applying alpha-rule on (612) yields:
% 16.38/4.35 | (613) all_0_114_114 = e13
% 16.38/4.35 | (614) ~ (all_0_122_122 = e10)
% 16.38/4.35 |
% 16.38/4.35 | Combining equations (734,613) yields a new equation:
% 16.38/4.35 | (735) e13 = e10
% 16.38/4.35 |
% 16.38/4.35 | Equations (735) can reduce 179 to:
% 16.38/4.35 | (420) $false
% 16.38/4.35 |
% 16.38/4.35 |-The branch is then unsatisfiable
% 16.38/4.35 |-Branch two:
% 16.38/4.35 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 16.38/4.35 |
% 16.38/4.35 | Applying alpha-rule on (625) yields:
% 16.38/4.35 | (626) all_0_115_115 = e11
% 16.38/4.35 | (627) ~ (all_0_111_111 = e13)
% 16.38/4.35 | (628) ~ (all_0_117_117 = e13)
% 16.38/4.35 |
% 16.38/4.35 | Combining equations (704,626) yields a new equation:
% 16.38/4.35 | (1622) e13 = e11
% 16.38/4.35 |
% 16.38/4.35 | Simplifying 1622 yields:
% 16.38/4.35 | (850) e13 = e11
% 16.38/4.35 |
% 16.38/4.35 | Equations (850) can reduce 323 to:
% 16.38/4.35 | (420) $false
% 16.38/4.35 |
% 16.38/4.35 |-The branch is then unsatisfiable
% 16.38/4.35 |-Branch two:
% 16.38/4.35 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 16.38/4.35 |
% 16.38/4.35 | Applying alpha-rule on (630) yields:
% 16.38/4.35 | (597) all_0_116_116 = e11
% 16.38/4.35 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 16.38/4.35 |
% 16.38/4.35 | Combining equations (745,597) yields a new equation:
% 16.38/4.35 | (637) e11 = e10
% 16.38/4.35 |
% 16.38/4.35 | Equations (637) can reduce 271 to:
% 16.38/4.35 | (420) $false
% 16.38/4.35 |
% 16.38/4.35 |-The branch is then unsatisfiable
% 16.38/4.35 |-Branch two:
% 16.38/4.35 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 16.38/4.35 |
% 16.38/4.35 | Applying alpha-rule on (634) yields:
% 16.38/4.35 | (635) all_0_120_120 = e10
% 16.38/4.35 | (636) ~ (all_0_122_122 = e12)
% 16.38/4.35 |
% 16.38/4.35 | Equations (635) can reduce 823 to:
% 16.38/4.35 | (420) $false
% 16.38/4.35 |
% 16.38/4.35 |-The branch is then unsatisfiable
% 16.38/4.35 |-Branch two:
% 16.38/4.35 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.38/4.35 |
% 16.38/4.35 | Applying alpha-rule on (639) yields:
% 16.38/4.35 | (640) all_0_121_121 = e10
% 16.38/4.35 | (610) ~ (all_0_117_117 = e11)
% 16.38/4.35 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.38/4.35 |
% 16.38/4.35 | Equations (405) can reduce 610 to:
% 16.38/4.35 | (420) $false
% 16.38/4.35 |
% 16.38/4.35 |-The branch is then unsatisfiable
% 16.38/4.35 |-Branch two:
% 16.38/4.35 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.38/4.35 |
% 16.38/4.35 | Applying alpha-rule on (644) yields:
% 16.38/4.35 | (610) ~ (all_0_117_117 = e11)
% 16.38/4.35 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.38/4.35 |
% 16.38/4.35 | Equations (405) can reduce 610 to:
% 16.38/4.35 | (420) $false
% 16.38/4.35 |
% 16.38/4.35 |-The branch is then unsatisfiable
% 16.38/4.35 |-Branch two:
% 16.38/4.35 | (741) ~ (all_0_116_116 = e10)
% 16.38/4.35 | (635) all_0_120_120 = e10
% 16.38/4.35 |
% 16.38/4.35 | Equations (635) can reduce 823 to:
% 16.38/4.35 | (420) $false
% 16.38/4.35 |
% 16.38/4.35 |-The branch is then unsatisfiable
% 16.38/4.35 |-Branch two:
% 16.38/4.35 | (951) ~ (all_0_115_115 = e13)
% 16.38/4.35 | (1598) all_0_119_119 = e13
% 16.38/4.35 |
% 16.38/4.35 | Combining equations (1598,657) yields a new equation:
% 16.38/4.35 | (1622) e13 = e11
% 16.38/4.35 |
% 16.38/4.35 | Simplifying 1622 yields:
% 16.38/4.35 | (850) e13 = e11
% 16.38/4.35 |
% 16.38/4.35 | Equations (850) can reduce 323 to:
% 16.38/4.35 | (420) $false
% 16.38/4.35 |
% 16.38/4.35 |-The branch is then unsatisfiable
% 16.38/4.35 |-Branch two:
% 16.38/4.35 | (615) ~ (all_0_113_113 = e13)
% 16.38/4.35 | (619) all_0_117_117 = e13 | all_0_121_121 = e13
% 16.38/4.35 |
% 16.38/4.35 +-Applying beta-rule and splitting (619), into two cases.
% 16.38/4.35 |-Branch one:
% 16.38/4.35 | (978) all_0_117_117 = e13
% 16.38/4.35 |
% 16.38/4.35 | Combining equations (405,978) yields a new equation:
% 16.38/4.35 | (850) e13 = e11
% 16.38/4.35 |
% 16.38/4.35 | Equations (850) can reduce 323 to:
% 16.38/4.35 | (420) $false
% 16.38/4.35 |
% 16.38/4.35 |-The branch is then unsatisfiable
% 16.38/4.35 |-Branch two:
% 16.38/4.35 | (628) ~ (all_0_117_117 = e13)
% 16.38/4.35 | (722) all_0_121_121 = e13
% 16.38/4.35 |
% 16.38/4.35 | Equations (722) can reduce 281 to:
% 16.38/4.35 | (615) ~ (all_0_113_113 = e13)
% 16.38/4.35 |
% 16.38/4.35 | Equations (722) can reduce 232 to:
% 16.38/4.35 | (49) ~ (all_0_120_120 = e13)
% 16.38/4.35 |
% 16.38/4.35 | Equations (722) can reduce 163 to:
% 16.38/4.35 | (723) ~ (all_0_122_122 = e13)
% 16.38/4.35 |
% 16.38/4.35 | Simplifying 723 yields:
% 16.38/4.35 | (724) ~ (all_0_122_122 = e13)
% 16.38/4.35 |
% 16.38/4.35 | Equations (722) can reduce 316 to:
% 16.38/4.35 | (261) ~ (e13 = e12)
% 16.38/4.35 |
% 16.38/4.35 | From (722) and (93) follows:
% 16.38/4.35 | (2817) h4(e13) = all_0_24_24
% 16.38/4.35 |
% 16.38/4.35 +-Applying beta-rule and splitting (62), into two cases.
% 16.38/4.35 |-Branch one:
% 16.38/4.35 | (718) all_0_113_113 = e10
% 16.38/4.35 |
% 16.38/4.35 | Equations (718) can reduce 169 to:
% 16.38/4.35 | (1218) ~ (all_0_114_114 = e10)
% 16.38/4.35 |
% 16.38/4.35 | Simplifying 1218 yields:
% 16.38/4.35 | (737) ~ (all_0_114_114 = e10)
% 16.38/4.35 |
% 16.38/4.35 | Equations (718) can reduce 615 to:
% 16.38/4.35 | (915) ~ (e13 = e10)
% 16.38/4.35 |
% 16.38/4.35 | Simplifying 915 yields:
% 16.38/4.35 | (179) ~ (e13 = e10)
% 16.38/4.35 |
% 16.38/4.35 | From (718) and (299) follows:
% 16.38/4.35 | (1224) h4(e10) = all_0_5_5
% 16.38/4.35 |
% 16.38/4.35 | Instantiating formula (346) with e13, all_0_24_24, e22 and discharging atoms h4(e13) = all_0_24_24, h4(e13) = e22, yields:
% 16.38/4.35 | (2824) all_0_24_24 = e22
% 16.38/4.35 |
% 16.38/4.35 | Instantiating formula (346) with e10, all_0_5_5, e21 and discharging atoms h4(e10) = all_0_5_5, h4(e10) = e21, yields:
% 16.38/4.35 | (1500) all_0_5_5 = e21
% 16.38/4.35 |
% 16.38/4.35 | From (2824) and (2817) follows:
% 16.38/4.35 | (1410) h4(e13) = e22
% 16.38/4.35 |
% 16.38/4.35 | From (1500) and (1224) follows:
% 16.38/4.36 | (2521) h4(e10) = e21
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (296), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (635) all_0_120_120 = e10
% 16.38/4.36 |
% 16.38/4.36 | Equations (635) can reduce 79 to:
% 16.38/4.36 | (742) ~ (all_0_122_122 = e10)
% 16.38/4.36 |
% 16.38/4.36 | Simplifying 742 yields:
% 16.38/4.36 | (614) ~ (all_0_122_122 = e10)
% 16.38/4.36 |
% 16.38/4.36 | From (635) and (168) follows:
% 16.38/4.36 | (2831) h4(e10) = all_0_22_22
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (231), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (749) all_0_122_122 = e13
% 16.38/4.36 |
% 16.38/4.36 | Equations (749) can reduce 724 to:
% 16.38/4.36 | (420) $false
% 16.38/4.36 |
% 16.38/4.36 |-The branch is then unsatisfiable
% 16.38/4.36 |-Branch two:
% 16.38/4.36 | (724) ~ (all_0_122_122 = e13)
% 16.38/4.36 | (752) all_0_122_122 = e12 | all_0_122_122 = e10
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (305), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (734) all_0_114_114 = e10
% 16.38/4.36 |
% 16.38/4.36 | Equations (734) can reduce 737 to:
% 16.38/4.36 | (420) $false
% 16.38/4.36 |
% 16.38/4.36 |-The branch is then unsatisfiable
% 16.38/4.36 |-Branch two:
% 16.38/4.36 | (737) ~ (all_0_114_114 = e10)
% 16.38/4.36 | (738) all_0_118_118 = e10 | all_0_122_122 = e10
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (738), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (764) all_0_118_118 = e10
% 16.38/4.36 |
% 16.38/4.36 | Equations (764) can reduce 267 to:
% 16.38/4.36 | (151) ~ (all_0_115_115 = e10)
% 16.38/4.36 |
% 16.38/4.36 | Equations (764) can reduce 20 to:
% 16.38/4.36 | (741) ~ (all_0_116_116 = e10)
% 16.38/4.36 |
% 16.38/4.36 | Equations (764) can reduce 201 to:
% 16.38/4.36 | (742) ~ (all_0_122_122 = e10)
% 16.38/4.36 |
% 16.38/4.36 | Simplifying 742 yields:
% 16.38/4.36 | (614) ~ (all_0_122_122 = e10)
% 16.38/4.36 |
% 16.38/4.36 | From (764) and (131) follows:
% 16.38/4.36 | (2845) h4(e10) = all_0_18_18
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (679), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (745) all_0_116_116 = e10
% 16.38/4.36 |
% 16.38/4.36 | Equations (745) can reduce 741 to:
% 16.38/4.36 | (420) $false
% 16.38/4.36 |
% 16.38/4.36 |-The branch is then unsatisfiable
% 16.38/4.36 |-Branch two:
% 16.38/4.36 | (741) ~ (all_0_116_116 = e10)
% 16.38/4.36 | (756) all_0_116_116 = e12
% 16.38/4.36 |
% 16.38/4.36 | Equations (756) can reduce 71 to:
% 16.38/4.36 | (702) ~ (all_0_115_115 = e12)
% 16.38/4.36 |
% 16.38/4.36 | From (756) and (113) follows:
% 16.38/4.36 | (2851) h4(e12) = all_0_14_14
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (752), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (758) all_0_122_122 = e10
% 16.38/4.36 |
% 16.38/4.36 | Equations (758) can reduce 614 to:
% 16.38/4.36 | (420) $false
% 16.38/4.36 |
% 16.38/4.36 |-The branch is then unsatisfiable
% 16.38/4.36 |-Branch two:
% 16.38/4.36 | (614) ~ (all_0_122_122 = e10)
% 16.38/4.36 | (761) all_0_122_122 = e12
% 16.38/4.36 |
% 16.38/4.36 | From (761) and (331) follows:
% 16.38/4.36 | (2856) h4(e12) = all_0_26_26
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (297), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (704) all_0_115_115 = e13
% 16.38/4.36 |
% 16.38/4.36 | Equations (704) can reduce 218 to:
% 16.38/4.36 | (627) ~ (all_0_111_111 = e13)
% 16.38/4.36 |
% 16.38/4.36 | Equations (704) can reduce 408 to:
% 16.38/4.36 | (323) ~ (e13 = e11)
% 16.38/4.36 |
% 16.38/4.36 | Equations (704) can reduce 151 to:
% 16.38/4.36 | (179) ~ (e13 = e10)
% 16.38/4.36 |
% 16.38/4.36 | From (704) and (313) follows:
% 16.38/4.36 | (2861) h4(e13) = all_0_12_12
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (146), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (700) all_0_111_111 = e12
% 16.38/4.36 |
% 16.38/4.36 | Equations (700) can reduce 609 to:
% 16.38/4.36 | (290) ~ (e12 = e11)
% 16.38/4.36 |
% 16.38/4.36 | From (700) and (216) follows:
% 16.38/4.36 | (1615) h4(e12) = all_0_1_1
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (57), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (613) all_0_114_114 = e13
% 16.38/4.36 |
% 16.38/4.36 | From (613) and (133) follows:
% 16.38/4.36 | (1620) h4(e13) = all_0_7_7
% 16.38/4.36 |
% 16.38/4.36 | Instantiating formula (346) with e13, all_0_7_7, e22 and discharging atoms h4(e13) = all_0_7_7, h4(e13) = e22, yields:
% 16.38/4.36 | (1644) all_0_7_7 = e22
% 16.38/4.36 |
% 16.38/4.36 | Instantiating formula (346) with e13, all_0_12_12, all_0_7_7 and discharging atoms h4(e13) = all_0_7_7, h4(e13) = all_0_12_12, yields:
% 16.38/4.36 | (2868) all_0_7_7 = all_0_12_12
% 16.38/4.36 |
% 16.38/4.36 | Instantiating formula (346) with e12, all_0_14_14, e23 and discharging atoms h4(e12) = all_0_14_14, h4(e12) = e23, yields:
% 16.38/4.36 | (2869) all_0_14_14 = e23
% 16.38/4.36 |
% 16.38/4.36 | Instantiating formula (346) with e12, all_0_14_14, all_0_1_1 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = all_0_14_14, yields:
% 16.38/4.36 | (2870) all_0_1_1 = all_0_14_14
% 16.38/4.36 |
% 16.38/4.36 | Instantiating formula (346) with e12, all_0_26_26, all_0_1_1 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = all_0_26_26, yields:
% 16.38/4.36 | (2871) all_0_1_1 = all_0_26_26
% 16.38/4.36 |
% 16.38/4.36 | Instantiating formula (346) with e10, all_0_18_18, e21 and discharging atoms h4(e10) = all_0_18_18, h4(e10) = e21, yields:
% 16.38/4.36 | (2872) all_0_18_18 = e21
% 16.38/4.36 |
% 16.38/4.36 | Instantiating formula (346) with e10, all_0_22_22, all_0_18_18 and discharging atoms h4(e10) = all_0_18_18, h4(e10) = all_0_22_22, yields:
% 16.38/4.36 | (2873) all_0_18_18 = all_0_22_22
% 16.38/4.36 |
% 16.38/4.36 | Combining equations (2870,2871) yields a new equation:
% 16.38/4.36 | (2874) all_0_14_14 = all_0_26_26
% 16.38/4.36 |
% 16.38/4.36 | Simplifying 2874 yields:
% 16.38/4.36 | (1236) all_0_14_14 = all_0_26_26
% 16.38/4.36 |
% 16.38/4.36 | Combining equations (1644,2868) yields a new equation:
% 16.38/4.36 | (2876) all_0_12_12 = e22
% 16.38/4.36 |
% 16.38/4.36 | Combining equations (2869,1236) yields a new equation:
% 16.38/4.36 | (2877) all_0_26_26 = e23
% 16.38/4.36 |
% 16.38/4.36 | Combining equations (2873,2872) yields a new equation:
% 16.38/4.36 | (2878) all_0_22_22 = e21
% 16.38/4.36 |
% 16.38/4.36 | Simplifying 2878 yields:
% 16.38/4.36 | (2879) all_0_22_22 = e21
% 16.38/4.36 |
% 16.38/4.36 | Combining equations (2877,1236) yields a new equation:
% 16.38/4.36 | (2869) all_0_14_14 = e23
% 16.38/4.36 |
% 16.38/4.36 | Combining equations (2876,2868) yields a new equation:
% 16.38/4.36 | (1644) all_0_7_7 = e22
% 16.38/4.36 |
% 16.38/4.36 | Combining equations (2877,2871) yields a new equation:
% 16.38/4.36 | (1647) all_0_1_1 = e23
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (304), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (1660) ~ (all_0_9_9 = e23)
% 16.38/4.36 |
% 16.38/4.36 | Equations (1545) can reduce 1660 to:
% 16.38/4.36 | (420) $false
% 16.38/4.36 |
% 16.38/4.36 |-The branch is then unsatisfiable
% 16.38/4.36 |-Branch two:
% 16.38/4.36 | (1545) all_0_9_9 = e23
% 16.38/4.36 | (1663) ~ (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_94_94) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (1663), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (1664) ~ (all_0_0_0 = all_0_1_1)
% 16.38/4.36 |
% 16.38/4.36 | Equations (1492,1647) can reduce 1664 to:
% 16.38/4.36 | (420) $false
% 16.38/4.36 |
% 16.38/4.36 |-The branch is then unsatisfiable
% 16.38/4.36 |-Branch two:
% 16.38/4.36 | (1666) all_0_0_0 = all_0_1_1
% 16.38/4.36 | (1667) ~ (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_94_94) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (1667), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (1668) ~ (all_0_2_2 = all_0_3_3)
% 16.38/4.36 |
% 16.38/4.36 | Equations (1491,1586) can reduce 1668 to:
% 16.38/4.36 | (420) $false
% 16.38/4.36 |
% 16.38/4.36 |-The branch is then unsatisfiable
% 16.38/4.36 |-Branch two:
% 16.38/4.36 | (1670) all_0_2_2 = all_0_3_3
% 16.38/4.36 | (1671) ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_94_94) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (1671), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (1672) ~ (all_0_4_4 = all_0_5_5)
% 16.38/4.36 |
% 16.38/4.36 | Equations (1546,1500) can reduce 1672 to:
% 16.38/4.36 | (420) $false
% 16.38/4.36 |
% 16.38/4.36 |-The branch is then unsatisfiable
% 16.38/4.36 |-Branch two:
% 16.38/4.36 | (1674) all_0_4_4 = all_0_5_5
% 16.38/4.36 | (1675) ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_94_94) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.36 |
% 16.38/4.36 +-Applying beta-rule and splitting (1675), into two cases.
% 16.38/4.36 |-Branch one:
% 16.38/4.36 | (1676) ~ (all_0_6_6 = all_0_7_7)
% 16.38/4.36 |
% 16.38/4.36 | Equations (1519,1644) can reduce 1676 to:
% 16.38/4.36 | (420) $false
% 16.38/4.36 |
% 16.38/4.36 |-The branch is then unsatisfiable
% 16.38/4.36 |-Branch two:
% 16.38/4.36 | (1678) all_0_6_6 = all_0_7_7
% 16.38/4.37 | (1679) ~ (all_0_8_8 = all_0_94_94) | ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1679), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1680) ~ (all_0_8_8 = all_0_94_94)
% 16.38/4.37 |
% 16.38/4.37 | Equations (1499,1490) can reduce 1680 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (348) all_0_8_8 = all_0_94_94
% 16.38/4.37 | (1683) ~ (all_0_10_10 = all_0_93_93) | ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 | Combining equations (348,1499) yields a new equation:
% 16.38/4.37 | (1684) all_0_94_94 = e21
% 16.38/4.37 |
% 16.38/4.37 | Simplifying 1684 yields:
% 16.38/4.37 | (1490) all_0_94_94 = e21
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1683), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1686) ~ (all_0_10_10 = all_0_93_93)
% 16.38/4.37 |
% 16.38/4.37 | Equations (1531,1518) can reduce 1686 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (347) all_0_10_10 = all_0_93_93
% 16.38/4.37 | (1689) ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 | Combining equations (1531,347) yields a new equation:
% 16.38/4.37 | (1518) all_0_93_93 = e20
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1689), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1691) ~ (all_0_11_11 = all_0_12_12)
% 16.38/4.37 |
% 16.38/4.37 | Equations (2566,2876) can reduce 1691 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (1693) all_0_11_11 = all_0_12_12
% 16.38/4.37 | (1694) ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1694), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1695) ~ (all_0_13_13 = all_0_14_14)
% 16.38/4.37 |
% 16.38/4.37 | Equations (2565,2869) can reduce 1695 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (1697) all_0_13_13 = all_0_14_14
% 16.38/4.37 | (1698) ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1698), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1699) ~ (all_0_15_15 = all_0_16_16)
% 16.38/4.37 |
% 16.38/4.37 | Equations (2568,2552) can reduce 1699 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (1701) all_0_15_15 = all_0_16_16
% 16.38/4.37 | (1702) ~ (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_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1702), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1703) ~ (all_0_17_17 = all_0_18_18)
% 16.38/4.37 |
% 16.38/4.37 | Equations (2567,2872) can reduce 1703 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (1705) all_0_17_17 = all_0_18_18
% 16.38/4.37 | (1706) ~ (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_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1706), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1707) ~ (all_0_19_19 = all_0_20_20)
% 16.38/4.37 |
% 16.38/4.37 | Equations (2540,2675) can reduce 1707 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (1709) all_0_19_19 = all_0_20_20
% 16.38/4.37 | (1710) ~ (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_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1710), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1711) ~ (all_0_21_21 = all_0_22_22)
% 16.38/4.37 |
% 16.38/4.37 | Equations (2538,2879) can reduce 1711 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (1713) all_0_21_21 = all_0_22_22
% 16.38/4.37 | (1714) ~ (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_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1714), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1715) ~ (all_0_23_23 = all_0_24_24)
% 16.38/4.37 |
% 16.38/4.37 | Equations (2564,2824) can reduce 1715 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (1717) all_0_23_23 = all_0_24_24
% 16.38/4.37 | (1718) ~ (all_0_25_25 = all_0_26_26) | ( ~ (all_0_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1718), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1719) ~ (all_0_25_25 = all_0_26_26)
% 16.38/4.37 |
% 16.38/4.37 | Equations (2550,2877) can reduce 1719 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (1721) all_0_25_25 = all_0_26_26
% 16.38/4.37 | (1722) ( ~ (all_0_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = 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))
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1722), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1723) ( ~ (all_0_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = e22)) | ( ~ (all_0_93_93 = e21) & ~ (all_0_94_94 = e21) & ~ (all_0_99_99 = e21))
% 16.38/4.37 |
% 16.38/4.37 +-Applying beta-rule and splitting (1723), into two cases.
% 16.38/4.37 |-Branch one:
% 16.38/4.37 | (1724) ~ (all_0_93_93 = e22) & ~ (all_0_94_94 = e22) & ~ (all_0_99_99 = e22)
% 16.38/4.37 |
% 16.38/4.37 | Applying alpha-rule on (1724) yields:
% 16.38/4.37 | (1725) ~ (all_0_93_93 = e22)
% 16.38/4.37 | (1726) ~ (all_0_94_94 = e22)
% 16.38/4.37 | (1727) ~ (all_0_99_99 = e22)
% 16.38/4.37 |
% 16.38/4.37 | Equations (552) can reduce 1727 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (1729) ~ (all_0_93_93 = e21) & ~ (all_0_94_94 = e21) & ~ (all_0_99_99 = e21)
% 16.38/4.37 |
% 16.38/4.37 | Applying alpha-rule on (1729) yields:
% 16.38/4.37 | (1730) ~ (all_0_93_93 = e21)
% 16.38/4.37 | (1731) ~ (all_0_94_94 = e21)
% 16.38/4.37 | (416) ~ (all_0_99_99 = e21)
% 16.38/4.37 |
% 16.38/4.37 | Equations (1490) can reduce 1731 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.37 |-Branch two:
% 16.38/4.37 | (1734) ~ (all_0_93_93 = e20) & ~ (all_0_94_94 = e20)
% 16.38/4.37 |
% 16.38/4.37 | Applying alpha-rule on (1734) yields:
% 16.38/4.37 | (1735) ~ (all_0_93_93 = e20)
% 16.38/4.37 | (1736) ~ (all_0_94_94 = e20)
% 16.38/4.37 |
% 16.38/4.37 | Equations (1518) can reduce 1735 to:
% 16.38/4.37 | (420) $false
% 16.38/4.37 |
% 16.38/4.37 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (874) ~ (all_0_114_114 = e13)
% 16.38/4.38 | (879) all_0_118_118 = e13 | all_0_122_122 = e13
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (252), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (613) all_0_114_114 = e13
% 16.38/4.38 |
% 16.38/4.38 | Equations (613) can reduce 874 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (874) ~ (all_0_114_114 = e13)
% 16.38/4.38 | (875) all_0_114_114 = e12 | all_0_114_114 = e10
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (14), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (602), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (603), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (604), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (605), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (606), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 16.38/4.38 |
% 16.38/4.38 | Applying alpha-rule on (607) yields:
% 16.38/4.38 | (608) all_0_113_113 = e13
% 16.38/4.38 | (609) ~ (all_0_111_111 = e11)
% 16.38/4.38 | (610) ~ (all_0_117_117 = e11)
% 16.38/4.38 |
% 16.38/4.38 | Combining equations (718,608) yields a new equation:
% 16.38/4.38 | (735) e13 = e10
% 16.38/4.38 |
% 16.38/4.38 | Equations (735) can reduce 179 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 16.38/4.38 |
% 16.38/4.38 | Applying alpha-rule on (612) yields:
% 16.38/4.38 | (613) all_0_114_114 = e13
% 16.38/4.38 | (614) ~ (all_0_122_122 = e10)
% 16.38/4.38 |
% 16.38/4.38 | Equations (613) can reduce 874 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 16.38/4.38 |
% 16.38/4.38 | Applying alpha-rule on (625) yields:
% 16.38/4.38 | (626) all_0_115_115 = e11
% 16.38/4.38 | (627) ~ (all_0_111_111 = e13)
% 16.38/4.38 | (628) ~ (all_0_117_117 = e13)
% 16.38/4.38 |
% 16.38/4.38 | Combining equations (704,626) yields a new equation:
% 16.38/4.38 | (1622) e13 = e11
% 16.38/4.38 |
% 16.38/4.38 | Simplifying 1622 yields:
% 16.38/4.38 | (850) e13 = e11
% 16.38/4.38 |
% 16.38/4.38 | Equations (850) can reduce 323 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 16.38/4.38 |
% 16.38/4.38 | Applying alpha-rule on (630) yields:
% 16.38/4.38 | (597) all_0_116_116 = e11
% 16.38/4.38 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 16.38/4.38 |
% 16.38/4.38 | Combining equations (756,597) yields a new equation:
% 16.38/4.38 | (960) e12 = e11
% 16.38/4.38 |
% 16.38/4.38 | Simplifying 960 yields:
% 16.38/4.38 | (961) e12 = e11
% 16.38/4.38 |
% 16.38/4.38 | Equations (961) can reduce 290 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 16.38/4.38 |
% 16.38/4.38 | Applying alpha-rule on (634) yields:
% 16.38/4.38 | (635) all_0_120_120 = e10
% 16.38/4.38 | (636) ~ (all_0_122_122 = e12)
% 16.38/4.38 |
% 16.38/4.38 | Equations (761) can reduce 636 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.38/4.38 |
% 16.38/4.38 | Applying alpha-rule on (639) yields:
% 16.38/4.38 | (640) all_0_121_121 = e10
% 16.38/4.38 | (610) ~ (all_0_117_117 = e11)
% 16.38/4.38 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.38/4.38 |
% 16.38/4.38 | Combining equations (722,640) yields a new equation:
% 16.38/4.38 | (840) e13 = e10
% 16.38/4.38 |
% 16.38/4.38 | Simplifying 840 yields:
% 16.38/4.38 | (735) e13 = e10
% 16.38/4.38 |
% 16.38/4.38 | Equations (735) can reduce 179 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.38/4.38 |
% 16.38/4.38 | Applying alpha-rule on (644) yields:
% 16.38/4.38 | (610) ~ (all_0_117_117 = e11)
% 16.38/4.38 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.38/4.38 |
% 16.38/4.38 | Equations (405) can reduce 610 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (954) ~ (all_0_111_111 = e12)
% 16.38/4.38 | (955) all_0_115_115 = e12 | all_0_119_119 = e12
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (2), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (880) all_0_111_111 = e13
% 16.38/4.38 |
% 16.38/4.38 | Equations (880) can reduce 627 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (627) ~ (all_0_111_111 = e13)
% 16.38/4.38 | (885) all_0_113_113 = e13 | all_0_114_114 = e13
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (149), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (700) all_0_111_111 = e12
% 16.38/4.38 |
% 16.38/4.38 | Equations (700) can reduce 954 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (954) ~ (all_0_111_111 = e12)
% 16.38/4.38 | (3019) all_0_112_112 = e12 | all_0_114_114 = e12
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (691), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (880) all_0_111_111 = e13
% 16.38/4.38 |
% 16.38/4.38 | Equations (880) can reduce 627 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (627) ~ (all_0_111_111 = e13)
% 16.38/4.38 | (700) all_0_111_111 = e12
% 16.38/4.38 |
% 16.38/4.38 | Equations (700) can reduce 954 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.38/4.38 | (951) ~ (all_0_115_115 = e13)
% 16.38/4.38 | (1626) all_0_117_117 = e13 | all_0_118_118 = e13
% 16.38/4.38 |
% 16.38/4.38 +-Applying beta-rule and splitting (699), into two cases.
% 16.38/4.38 |-Branch one:
% 16.38/4.38 | (704) all_0_115_115 = e13
% 16.38/4.38 |
% 16.38/4.38 | Equations (704) can reduce 951 to:
% 16.38/4.38 | (420) $false
% 16.38/4.38 |
% 16.38/4.38 |-The branch is then unsatisfiable
% 16.38/4.38 |-Branch two:
% 16.51/4.38 | (951) ~ (all_0_115_115 = e13)
% 16.51/4.38 | (952) all_0_115_115 = e12
% 16.51/4.38 |
% 16.51/4.38 | Equations (952) can reduce 702 to:
% 16.51/4.38 | (420) $false
% 16.51/4.38 |
% 16.51/4.38 |-The branch is then unsatisfiable
% 16.51/4.38 |-Branch two:
% 16.51/4.38 | (819) ~ (all_0_118_118 = e10)
% 16.51/4.38 | (758) all_0_122_122 = e10
% 16.51/4.38 |
% 16.51/4.38 | Equations (758) can reduce 614 to:
% 16.51/4.38 | (420) $false
% 16.51/4.38 |
% 16.51/4.38 |-The branch is then unsatisfiable
% 16.51/4.38 |-Branch two:
% 16.51/4.38 | (823) ~ (all_0_120_120 = e10)
% 16.51/4.38 | (824) all_0_121_121 = e10 | all_0_122_122 = e10
% 16.51/4.38 |
% 16.51/4.38 +-Applying beta-rule and splitting (14), into two cases.
% 16.51/4.38 |-Branch one:
% 16.51/4.38 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 16.51/4.38 |
% 16.51/4.38 +-Applying beta-rule and splitting (602), into two cases.
% 16.51/4.38 |-Branch one:
% 16.51/4.38 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 16.51/4.38 |
% 16.51/4.38 +-Applying beta-rule and splitting (603), into two cases.
% 16.51/4.38 |-Branch one:
% 16.51/4.38 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 16.51/4.38 |
% 16.51/4.38 +-Applying beta-rule and splitting (604), into two cases.
% 16.51/4.38 |-Branch one:
% 16.51/4.38 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 16.51/4.38 |
% 16.51/4.38 +-Applying beta-rule and splitting (605), into two cases.
% 16.51/4.38 |-Branch one:
% 16.51/4.38 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 16.51/4.38 |
% 16.51/4.38 +-Applying beta-rule and splitting (606), into two cases.
% 16.51/4.38 |-Branch one:
% 16.51/4.38 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 16.51/4.38 |
% 16.51/4.38 | Applying alpha-rule on (607) yields:
% 16.51/4.38 | (608) all_0_113_113 = e13
% 16.51/4.38 | (609) ~ (all_0_111_111 = e11)
% 16.51/4.38 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.38 |
% 16.51/4.38 | Combining equations (718,608) yields a new equation:
% 16.51/4.38 | (735) e13 = e10
% 16.51/4.38 |
% 16.51/4.38 | Equations (735) can reduce 179 to:
% 16.51/4.38 | (420) $false
% 16.51/4.38 |
% 16.51/4.38 |-The branch is then unsatisfiable
% 16.51/4.38 |-Branch two:
% 16.51/4.38 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 16.51/4.38 |
% 16.51/4.38 | Applying alpha-rule on (612) yields:
% 16.51/4.38 | (613) all_0_114_114 = e13
% 16.51/4.38 | (614) ~ (all_0_122_122 = e10)
% 16.51/4.38 |
% 16.51/4.38 | Equations (613) can reduce 737 to:
% 16.51/4.38 | (179) ~ (e13 = e10)
% 16.51/4.38 |
% 16.51/4.38 +-Applying beta-rule and splitting (305), into two cases.
% 16.51/4.38 |-Branch one:
% 16.51/4.38 | (734) all_0_114_114 = e10
% 16.51/4.38 |
% 16.51/4.38 | Combining equations (613,734) yields a new equation:
% 16.51/4.38 | (840) e13 = e10
% 16.51/4.38 |
% 16.51/4.38 | Simplifying 840 yields:
% 16.51/4.38 | (735) e13 = e10
% 16.51/4.38 |
% 16.51/4.38 | Equations (735) can reduce 179 to:
% 16.51/4.38 | (420) $false
% 16.51/4.38 |
% 16.51/4.38 |-The branch is then unsatisfiable
% 16.51/4.38 |-Branch two:
% 16.51/4.38 | (737) ~ (all_0_114_114 = e10)
% 16.51/4.38 | (738) all_0_118_118 = e10 | all_0_122_122 = e10
% 16.51/4.38 |
% 16.51/4.38 | Equations (613) can reduce 737 to:
% 16.51/4.38 | (179) ~ (e13 = e10)
% 16.51/4.38 |
% 16.51/4.38 +-Applying beta-rule and splitting (824), into two cases.
% 16.51/4.38 |-Branch one:
% 16.51/4.38 | (640) all_0_121_121 = e10
% 16.51/4.38 |
% 16.51/4.38 | Combining equations (640,722) yields a new equation:
% 16.51/4.38 | (735) e13 = e10
% 16.51/4.38 |
% 16.51/4.38 | Equations (735) can reduce 179 to:
% 16.51/4.38 | (420) $false
% 16.51/4.38 |
% 16.51/4.38 |-The branch is then unsatisfiable
% 16.51/4.38 |-Branch two:
% 16.51/4.38 | (720) ~ (all_0_121_121 = e10)
% 16.51/4.38 | (758) all_0_122_122 = e10
% 16.51/4.38 |
% 16.51/4.38 | Equations (758) can reduce 614 to:
% 16.51/4.38 | (420) $false
% 16.51/4.38 |
% 16.51/4.38 |-The branch is then unsatisfiable
% 16.51/4.38 |-Branch two:
% 16.51/4.38 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 16.51/4.38 |
% 16.51/4.38 | Applying alpha-rule on (625) yields:
% 16.51/4.38 | (626) all_0_115_115 = e11
% 16.51/4.38 | (627) ~ (all_0_111_111 = e13)
% 16.51/4.38 | (628) ~ (all_0_117_117 = e13)
% 16.51/4.38 |
% 16.51/4.38 | Equations (626) can reduce 408 to:
% 16.51/4.38 | (420) $false
% 16.51/4.38 |
% 16.51/4.38 |-The branch is then unsatisfiable
% 16.51/4.38 |-Branch two:
% 16.51/4.38 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 16.51/4.38 |
% 16.51/4.38 | Applying alpha-rule on (630) yields:
% 16.51/4.38 | (597) all_0_116_116 = e11
% 16.51/4.38 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 16.51/4.38 |
% 16.51/4.38 | Equations (597) can reduce 409 to:
% 16.51/4.38 | (420) $false
% 16.51/4.38 |
% 16.51/4.38 |-The branch is then unsatisfiable
% 16.51/4.38 |-Branch two:
% 16.51/4.39 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 16.51/4.39 |
% 16.51/4.39 | Applying alpha-rule on (634) yields:
% 16.51/4.39 | (635) all_0_120_120 = e10
% 16.51/4.39 | (636) ~ (all_0_122_122 = e12)
% 16.51/4.39 |
% 16.51/4.39 | Equations (635) can reduce 823 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.51/4.39 |
% 16.51/4.39 | Applying alpha-rule on (639) yields:
% 16.51/4.39 | (640) all_0_121_121 = e10
% 16.51/4.39 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.39 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.51/4.39 |
% 16.51/4.39 | Combining equations (722,640) yields a new equation:
% 16.51/4.39 | (840) e13 = e10
% 16.51/4.39 |
% 16.51/4.39 | Simplifying 840 yields:
% 16.51/4.39 | (735) e13 = e10
% 16.51/4.39 |
% 16.51/4.39 | Equations (735) can reduce 179 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.51/4.39 |
% 16.51/4.39 | Applying alpha-rule on (644) yields:
% 16.51/4.39 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.39 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.51/4.39 |
% 16.51/4.39 | Equations (405) can reduce 610 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (926) ~ (all_0_113_113 = e10)
% 16.51/4.39 | (927) all_0_117_117 = e10 | all_0_121_121 = e10
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (17), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (928) all_0_112_112 = e10
% 16.51/4.39 |
% 16.51/4.39 | Combining equations (593,928) yields a new equation:
% 16.51/4.39 | (929) e11 = e10
% 16.51/4.39 |
% 16.51/4.39 | Simplifying 929 yields:
% 16.51/4.39 | (637) e11 = e10
% 16.51/4.39 |
% 16.51/4.39 | Equations (637) can reduce 271 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (932) ~ (all_0_112_112 = e10)
% 16.51/4.39 | (933) all_0_113_113 = e10 | all_0_114_114 = e10
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (933), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (718) all_0_113_113 = e10
% 16.51/4.39 |
% 16.51/4.39 | Equations (718) can reduce 926 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (926) ~ (all_0_113_113 = e10)
% 16.51/4.39 | (734) all_0_114_114 = e10
% 16.51/4.39 |
% 16.51/4.39 | Equations (734) can reduce 169 to:
% 16.51/4.39 | (926) ~ (all_0_113_113 = e10)
% 16.51/4.39 |
% 16.51/4.39 | Equations (734) can reduce 34 to:
% 16.51/4.39 | (3102) ~ (all_0_118_118 = e10)
% 16.51/4.39 |
% 16.51/4.39 | Simplifying 3102 yields:
% 16.51/4.39 | (819) ~ (all_0_118_118 = e10)
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (149), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (700) all_0_111_111 = e12
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (231), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (749) all_0_122_122 = e13
% 16.51/4.39 |
% 16.51/4.39 | Equations (749) can reduce 724 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (724) ~ (all_0_122_122 = e13)
% 16.51/4.39 | (752) all_0_122_122 = e12 | all_0_122_122 = e10
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (14), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (602), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (603), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (604), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (605), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (606), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 16.51/4.39 |
% 16.51/4.39 | Applying alpha-rule on (607) yields:
% 16.51/4.39 | (608) all_0_113_113 = e13
% 16.51/4.39 | (609) ~ (all_0_111_111 = e11)
% 16.51/4.39 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.39 |
% 16.51/4.39 | Equations (405) can reduce 610 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 16.51/4.39 |
% 16.51/4.39 | Applying alpha-rule on (612) yields:
% 16.51/4.39 | (613) all_0_114_114 = e13
% 16.51/4.39 | (614) ~ (all_0_122_122 = e10)
% 16.51/4.39 |
% 16.51/4.39 | Combining equations (613,734) yields a new equation:
% 16.51/4.39 | (840) e13 = e10
% 16.51/4.39 |
% 16.51/4.39 | Simplifying 840 yields:
% 16.51/4.39 | (735) e13 = e10
% 16.51/4.39 |
% 16.51/4.39 | Equations (735) can reduce 179 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 16.51/4.39 |
% 16.51/4.39 | Applying alpha-rule on (625) yields:
% 16.51/4.39 | (626) all_0_115_115 = e11
% 16.51/4.39 | (627) ~ (all_0_111_111 = e13)
% 16.51/4.39 | (628) ~ (all_0_117_117 = e13)
% 16.51/4.39 |
% 16.51/4.39 | Equations (626) can reduce 408 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 16.51/4.39 |
% 16.51/4.39 | Applying alpha-rule on (630) yields:
% 16.51/4.39 | (597) all_0_116_116 = e11
% 16.51/4.39 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 16.51/4.39 |
% 16.51/4.39 | Equations (597) can reduce 409 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 16.51/4.39 |
% 16.51/4.39 | Applying alpha-rule on (634) yields:
% 16.51/4.39 | (635) all_0_120_120 = e10
% 16.51/4.39 | (636) ~ (all_0_122_122 = e12)
% 16.51/4.39 |
% 16.51/4.39 | Equations (635) can reduce 49 to:
% 16.51/4.39 | (915) ~ (e13 = e10)
% 16.51/4.39 |
% 16.51/4.39 | Simplifying 915 yields:
% 16.51/4.39 | (179) ~ (e13 = e10)
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (2), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (880) all_0_111_111 = e13
% 16.51/4.39 |
% 16.51/4.39 | Combining equations (700,880) yields a new equation:
% 16.51/4.39 | (882) e13 = e12
% 16.51/4.39 |
% 16.51/4.39 | Equations (882) can reduce 261 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (627) ~ (all_0_111_111 = e13)
% 16.51/4.39 | (885) all_0_113_113 = e13 | all_0_114_114 = e13
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (57), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (613) all_0_114_114 = e13
% 16.51/4.39 |
% 16.51/4.39 | Combining equations (613,734) yields a new equation:
% 16.51/4.39 | (840) e13 = e10
% 16.51/4.39 |
% 16.51/4.39 | Simplifying 840 yields:
% 16.51/4.39 | (735) e13 = e10
% 16.51/4.39 |
% 16.51/4.39 | Equations (735) can reduce 179 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (874) ~ (all_0_114_114 = e13)
% 16.51/4.39 | (879) all_0_118_118 = e13 | all_0_122_122 = e13
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (879), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (1042) all_0_118_118 = e13
% 16.51/4.39 |
% 16.51/4.39 | Equations (1042) can reduce 819 to:
% 16.51/4.39 | (179) ~ (e13 = e10)
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (885), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (608) all_0_113_113 = e13
% 16.51/4.39 |
% 16.51/4.39 | Equations (608) can reduce 615 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (615) ~ (all_0_113_113 = e13)
% 16.51/4.39 | (613) all_0_114_114 = e13
% 16.51/4.39 |
% 16.51/4.39 | Combining equations (734,613) yields a new equation:
% 16.51/4.39 | (735) e13 = e10
% 16.51/4.39 |
% 16.51/4.39 | Equations (735) can reduce 179 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (1045) ~ (all_0_118_118 = e13)
% 16.51/4.39 | (749) all_0_122_122 = e13
% 16.51/4.39 |
% 16.51/4.39 | Equations (749) can reduce 724 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.51/4.39 |
% 16.51/4.39 | Applying alpha-rule on (639) yields:
% 16.51/4.39 | (640) all_0_121_121 = e10
% 16.51/4.39 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.39 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.51/4.39 |
% 16.51/4.39 | Combining equations (722,640) yields a new equation:
% 16.51/4.39 | (840) e13 = e10
% 16.51/4.39 |
% 16.51/4.39 | Simplifying 840 yields:
% 16.51/4.39 | (735) e13 = e10
% 16.51/4.39 |
% 16.51/4.39 | Equations (735) can reduce 179 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.51/4.39 |
% 16.51/4.39 | Applying alpha-rule on (644) yields:
% 16.51/4.39 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.39 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.51/4.39 |
% 16.51/4.39 | Equations (405) can reduce 610 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (954) ~ (all_0_111_111 = e12)
% 16.51/4.39 | (3019) all_0_112_112 = e12 | all_0_114_114 = e12
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (691), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (880) all_0_111_111 = e13
% 16.51/4.39 |
% 16.51/4.39 | Equations (880) can reduce 278 to:
% 16.51/4.39 | (968) ~ (all_0_113_113 = e13)
% 16.51/4.39 |
% 16.51/4.39 | Simplifying 968 yields:
% 16.51/4.39 | (615) ~ (all_0_113_113 = e13)
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (695), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (608) all_0_113_113 = e13
% 16.51/4.39 |
% 16.51/4.39 | Equations (608) can reduce 615 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (615) ~ (all_0_113_113 = e13)
% 16.51/4.39 | (718) all_0_113_113 = e10
% 16.51/4.39 |
% 16.51/4.39 | Equations (718) can reduce 926 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (627) ~ (all_0_111_111 = e13)
% 16.51/4.39 | (700) all_0_111_111 = e12
% 16.51/4.39 |
% 16.51/4.39 | Equations (700) can reduce 954 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (589) ~ (all_0_112_112 = e11)
% 16.51/4.39 | (692) all_0_113_113 = e11
% 16.51/4.39 |
% 16.51/4.39 | Equations (692) can reduce 407 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (1727) ~ (all_0_99_99 = e22)
% 16.51/4.39 | (3189) all_0_100_100 = e22 | all_0_102_102 = e22
% 16.51/4.39 |
% 16.51/4.39 +-Applying beta-rule and splitting (3189), into two cases.
% 16.51/4.39 |-Branch one:
% 16.51/4.39 | (451) all_0_100_100 = e22
% 16.51/4.39 |
% 16.51/4.39 | Combining equations (451,415) yields a new equation:
% 16.51/4.39 | (1436) e22 = e21
% 16.51/4.39 |
% 16.51/4.39 | Simplifying 1436 yields:
% 16.51/4.39 | (452) e22 = e21
% 16.51/4.39 |
% 16.51/4.39 | Equations (452) can reduce 224 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (454) ~ (all_0_100_100 = e22)
% 16.51/4.39 | (575) all_0_102_102 = e22
% 16.51/4.39 |
% 16.51/4.39 | Combining equations (473,575) yields a new equation:
% 16.51/4.39 | (1447) e23 = e22
% 16.51/4.39 |
% 16.51/4.39 | Simplifying 1447 yields:
% 16.51/4.39 | (1094) e23 = e22
% 16.51/4.39 |
% 16.51/4.39 | Equations (1094) can reduce 25 to:
% 16.51/4.39 | (420) $false
% 16.51/4.39 |
% 16.51/4.39 |-The branch is then unsatisfiable
% 16.51/4.39 |-Branch two:
% 16.51/4.39 | (508) ~ (all_0_105_105 = e23)
% 16.51/4.40 | (586) all_0_109_109 = e23
% 16.51/4.40 |
% 16.51/4.40 | Combining equations (440,586) yields a new equation:
% 16.51/4.40 | (1323) e23 = e21
% 16.51/4.40 |
% 16.51/4.40 | Equations (1323) can reduce 253 to:
% 16.51/4.40 | (420) $false
% 16.51/4.40 |
% 16.51/4.40 |-The branch is then unsatisfiable
% 16.51/4.40 |-Branch two:
% 16.51/4.40 | (1325) ~ (all_0_107_107 = e23)
% 16.51/4.40 | (2254) all_0_107_107 = e22
% 16.51/4.40 |
% 16.51/4.40 | Equations (2254) can reduce 2329 to:
% 16.51/4.40 | (420) $false
% 16.51/4.40 |
% 16.51/4.40 |-The branch is then unsatisfiable
% 16.51/4.40 |-Branch two:
% 16.51/4.40 | (1084) ~ (all_0_102_102 = e23)
% 16.51/4.40 | (1965) all_0_102_102 = e22 | all_0_102_102 = e20
% 16.51/4.40 |
% 16.51/4.40 +-Applying beta-rule and splitting (1965), into two cases.
% 16.51/4.40 |-Branch one:
% 16.51/4.40 | (475) all_0_102_102 = e20
% 16.51/4.40 |
% 16.51/4.40 | Equations (475) can reduce 478 to:
% 16.51/4.40 | (420) $false
% 16.51/4.40 |
% 16.51/4.40 |-The branch is then unsatisfiable
% 16.51/4.40 |-Branch two:
% 16.51/4.40 | (478) ~ (all_0_102_102 = e20)
% 16.51/4.40 | (575) all_0_102_102 = e22
% 16.51/4.40 |
% 16.51/4.40 | Equations (575) can reduce 554 to:
% 16.51/4.40 | (420) $false
% 16.51/4.40 |
% 16.51/4.40 |-The branch is then unsatisfiable
% 16.51/4.40 |-Branch two:
% 16.51/4.40 | (363) ~ (all_0_103_103 = e21)
% 16.51/4.40 | (3214) all_0_104_104 = e21 | all_0_105_105 = e21
% 16.51/4.40 |
% 16.51/4.40 +-Applying beta-rule and splitting (2339), into two cases.
% 16.51/4.40 |-Branch one:
% 16.51/4.40 | (1463) all_0_105_105 = e23
% 16.51/4.40 |
% 16.51/4.40 | Equations (1463) can reduce 470 to:
% 16.51/4.40 | (253) ~ (e23 = e21)
% 16.51/4.40 |
% 16.51/4.40 +-Applying beta-rule and splitting (3214), into two cases.
% 16.51/4.40 |-Branch one:
% 16.51/4.40 | (432) all_0_104_104 = e21
% 16.51/4.40 |
% 16.51/4.40 | Combining equations (444,432) yields a new equation:
% 16.51/4.40 | (489) e21 = e20
% 16.51/4.40 |
% 16.51/4.40 | Equations (489) can reduce 300 to:
% 16.51/4.40 | (420) $false
% 16.51/4.40 |
% 16.51/4.40 |-The branch is then unsatisfiable
% 16.51/4.40 |-Branch two:
% 16.51/4.40 | (364) ~ (all_0_104_104 = e21)
% 16.51/4.40 | (360) all_0_105_105 = e21
% 16.51/4.40 |
% 16.51/4.40 | Combining equations (1463,360) yields a new equation:
% 16.51/4.40 | (1322) e23 = e21
% 16.51/4.40 |
% 16.51/4.40 | Simplifying 1322 yields:
% 16.51/4.40 | (1323) e23 = e21
% 16.51/4.40 |
% 16.51/4.40 | Equations (1323) can reduce 253 to:
% 16.51/4.40 | (420) $false
% 16.51/4.40 |
% 16.51/4.40 |-The branch is then unsatisfiable
% 16.51/4.40 |-Branch two:
% 16.51/4.40 | (508) ~ (all_0_105_105 = e23)
% 16.51/4.40 | (1139) all_0_105_105 = e20
% 16.51/4.40 |
% 16.51/4.40 | Equations (1139) can reduce 1142 to:
% 16.51/4.40 | (420) $false
% 16.51/4.40 |
% 16.51/4.40 |-The branch is then unsatisfiable
% 16.51/4.40 |-Branch two:
% 16.51/4.40 | (1122) ~ (all_0_100_100 = e21)
% 16.51/4.40 | (2060) all_0_101_101 = e21
% 16.51/4.40 |
% 16.51/4.40 | Combining equations (495,2060) yields a new equation:
% 16.51/4.40 | (489) e21 = e20
% 16.51/4.40 |
% 16.51/4.40 | Equations (489) can reduce 300 to:
% 16.51/4.40 | (420) $false
% 16.51/4.40 |
% 16.51/4.40 |-The branch is then unsatisfiable
% 16.51/4.40 |-Branch two:
% 16.51/4.40 | (1205) all_0_122_122 = e10 & ~ (all_0_117_117 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Applying alpha-rule on (1205) yields:
% 16.51/4.40 | (758) all_0_122_122 = e10
% 16.51/4.40 | (939) ~ (all_0_117_117 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Equations (758) can reduce 343 to:
% 16.51/4.40 | (737) ~ (all_0_114_114 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Equations (758) can reduce 201 to:
% 16.51/4.40 | (819) ~ (all_0_118_118 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Equations (758) can reduce 10 to:
% 16.51/4.40 | (329) ~ (all_0_119_119 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Equations (758) can reduce 336 to:
% 16.51/4.40 | (917) ~ (e11 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Simplifying 917 yields:
% 16.51/4.40 | (271) ~ (e11 = e10)
% 16.51/4.40 |
% 16.51/4.40 | From (758) and (12) follows:
% 16.51/4.40 | (3240) h3(e10) = all_0_38_38
% 16.51/4.40 |
% 16.51/4.40 +-Applying beta-rule and splitting (189), into two cases.
% 16.51/4.40 |-Branch one:
% 16.51/4.40 | (745) all_0_116_116 = e10
% 16.51/4.40 |
% 16.51/4.40 | Equations (745) can reduce 310 to:
% 16.51/4.40 | (932) ~ (all_0_112_112 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Equations (745) can reduce 20 to:
% 16.51/4.40 | (3102) ~ (all_0_118_118 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Simplifying 3102 yields:
% 16.51/4.40 | (819) ~ (all_0_118_118 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Equations (745) can reduce 158 to:
% 16.51/4.40 | (1228) ~ (all_0_120_120 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Simplifying 1228 yields:
% 16.51/4.40 | (823) ~ (all_0_120_120 = e10)
% 16.51/4.40 |
% 16.51/4.40 | From (745) and (15) follows:
% 16.51/4.40 | (3247) h3(e10) = all_0_32_32
% 16.51/4.40 |
% 16.51/4.40 +-Applying beta-rule and splitting (62), into two cases.
% 16.51/4.40 |-Branch one:
% 16.51/4.40 | (718) all_0_113_113 = e10
% 16.51/4.40 |
% 16.51/4.40 | Equations (718) can reduce 278 to:
% 16.51/4.40 | (333) ~ (all_0_111_111 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Equations (718) can reduce 207 to:
% 16.51/4.40 | (932) ~ (all_0_112_112 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Equations (718) can reduce 19 to:
% 16.51/4.40 | (1226) ~ (all_0_117_117 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Simplifying 1226 yields:
% 16.51/4.40 | (939) ~ (all_0_117_117 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Equations (718) can reduce 281 to:
% 16.51/4.40 | (719) ~ (all_0_121_121 = e10)
% 16.51/4.40 |
% 16.51/4.40 | Simplifying 719 yields:
% 16.51/4.40 | (720) ~ (all_0_121_121 = e10)
% 16.51/4.40 |
% 16.51/4.40 | From (718) and (29) follows:
% 16.51/4.40 | (721) h3(e10) = all_0_29_29
% 16.51/4.40 |
% 16.51/4.40 | Instantiating formula (318) with e10, all_0_32_32, e20 and discharging atoms h3(e10) = all_0_32_32, h3(e10) = e20, yields:
% 16.51/4.40 | (3256) all_0_32_32 = e20
% 16.51/4.40 |
% 16.51/4.40 | Instantiating formula (318) with e10, all_0_32_32, all_0_29_29 and discharging atoms h3(e10) = all_0_29_29, h3(e10) = all_0_32_32, yields:
% 16.51/4.40 | (3257) all_0_29_29 = all_0_32_32
% 16.51/4.40 |
% 16.51/4.40 | Instantiating formula (318) with e10, all_0_38_38, all_0_29_29 and discharging atoms h3(e10) = all_0_29_29, h3(e10) = all_0_38_38, yields:
% 16.51/4.40 | (3258) all_0_29_29 = all_0_38_38
% 16.51/4.40 |
% 16.51/4.40 | Combining equations (3257,3258) yields a new equation:
% 16.51/4.40 | (3259) all_0_32_32 = all_0_38_38
% 16.51/4.40 |
% 16.51/4.40 | Simplifying 3259 yields:
% 16.51/4.40 | (767) all_0_32_32 = all_0_38_38
% 16.51/4.40 |
% 16.51/4.40 | Combining equations (3256,767) yields a new equation:
% 16.51/4.40 | (3261) all_0_38_38 = e20
% 16.51/4.40 |
% 16.51/4.40 | Combining equations (3261,767) yields a new equation:
% 16.51/4.41 | (3256) all_0_32_32 = e20
% 16.51/4.41 |
% 16.51/4.41 | Combining equations (3261,3258) yields a new equation:
% 16.51/4.41 | (730) all_0_29_29 = e20
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (260), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (419) all_0_99_99 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (419) can reduce 289 to:
% 16.51/4.41 | (2217) ~ (all_0_100_100 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 2217 yields:
% 16.51/4.41 | (1122) ~ (all_0_100_100 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Equations (419) can reduce 226 to:
% 16.51/4.41 | (1125) ~ (all_0_103_103 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 1125 yields:
% 16.51/4.41 | (363) ~ (all_0_103_103 = e21)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (9), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (415) all_0_100_100 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (415) can reduce 1122 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (1122) ~ (all_0_100_100 = e21)
% 16.51/4.41 | (2225) all_0_100_100 = e22 | all_0_100_100 = e20
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (2225), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (487) all_0_100_100 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (487) can reduce 491 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (491) ~ (all_0_100_100 = e20)
% 16.51/4.41 | (451) all_0_100_100 = e22
% 16.51/4.41 |
% 16.51/4.41 | Equations (451) can reduce 303 to:
% 16.51/4.41 | (539) ~ (all_0_108_108 = e22)
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 539 yields:
% 16.51/4.41 | (540) ~ (all_0_108_108 = e22)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (314), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (1148) all_0_108_108 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (1148) can reduce 124 to:
% 16.51/4.41 | (426) ~ (all_0_109_109 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 426 yields:
% 16.51/4.41 | (427) ~ (all_0_109_109 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Equations (1148) can reduce 446 to:
% 16.51/4.41 | (300) ~ (e21 = e20)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (160), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (440) all_0_109_109 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (440) can reduce 427 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (427) ~ (all_0_109_109 = e21)
% 16.51/4.41 | (443) all_0_109_109 = e23 | all_0_109_109 = e20
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (229), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (2060) all_0_101_101 = e21
% 16.51/4.41 |
% 16.51/4.41 | Combining equations (495,2060) yields a new equation:
% 16.51/4.41 | (489) e21 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (489) can reduce 300 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (362) ~ (all_0_101_101 = e21)
% 16.51/4.41 | (2378) all_0_105_105 = e21 | all_0_109_109 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (495) can reduce 362 to:
% 16.51/4.41 | (449) ~ (e21 = e20)
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 449 yields:
% 16.51/4.41 | (300) ~ (e21 = e20)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (317), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (428) all_0_103_103 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (428) can reduce 363 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (363) ~ (all_0_103_103 = e21)
% 16.51/4.41 | (3214) all_0_104_104 = e21 | all_0_105_105 = e21
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (3214), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (432) all_0_104_104 = e21
% 16.51/4.41 |
% 16.51/4.41 | Combining equations (432,444) yields a new equation:
% 16.51/4.41 | (488) e21 = e20
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 488 yields:
% 16.51/4.41 | (489) e21 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (489) can reduce 300 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (364) ~ (all_0_104_104 = e21)
% 16.51/4.41 | (360) all_0_105_105 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (360) can reduce 28 to:
% 16.51/4.41 | (363) ~ (all_0_103_103 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Equations (360) can reduce 1142 to:
% 16.51/4.41 | (300) ~ (e21 = e20)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (443), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (586) all_0_109_109 = e23
% 16.51/4.41 |
% 16.51/4.41 | Equations (586) can reduce 502 to:
% 16.51/4.41 | (243) ~ (e23 = e20)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (63), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (428) all_0_103_103 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (428) can reduce 363 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (363) ~ (all_0_103_103 = e21)
% 16.51/4.41 | (431) all_0_103_103 = e23 | all_0_103_103 = e22
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (45), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (462) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22)) | (all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)))
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (462), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (463) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22))
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (463), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (464) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (464), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (465) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23))
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (465), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (466) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20))
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (466), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (467) all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Applying alpha-rule on (467) yields:
% 16.51/4.41 | (468) all_0_101_101 = e23
% 16.51/4.41 | (416) ~ (all_0_99_99 = e21)
% 16.51/4.41 | (470) ~ (all_0_105_105 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Combining equations (495,468) yields a new equation:
% 16.51/4.41 | (476) e23 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (476) can reduce 243 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (472) all_0_102_102 = e23 & ~ (all_0_110_110 = e20)
% 16.51/4.41 |
% 16.51/4.41 | Applying alpha-rule on (472) yields:
% 16.51/4.41 | (473) all_0_102_102 = e23
% 16.51/4.41 | (474) ~ (all_0_110_110 = e20)
% 16.51/4.41 |
% 16.51/4.41 | Equations (503) can reduce 474 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (505) all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)
% 16.51/4.41 |
% 16.51/4.41 | Applying alpha-rule on (505) yields:
% 16.51/4.41 | (428) all_0_103_103 = e21
% 16.51/4.41 | (507) ~ (all_0_99_99 = e23)
% 16.51/4.41 | (508) ~ (all_0_105_105 = e23)
% 16.51/4.41 |
% 16.51/4.41 | Equations (428) can reduce 363 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (510) all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 16.51/4.41 |
% 16.51/4.41 | Applying alpha-rule on (510) yields:
% 16.51/4.41 | (432) all_0_104_104 = e21
% 16.51/4.41 | (512) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 16.51/4.41 |
% 16.51/4.41 | Combining equations (444,432) yields a new equation:
% 16.51/4.41 | (489) e21 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (489) can reduce 300 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (515) all_0_108_108 = e20 & ~ (all_0_110_110 = e22)
% 16.51/4.41 |
% 16.51/4.41 | Applying alpha-rule on (515) yields:
% 16.51/4.41 | (481) all_0_108_108 = e20
% 16.51/4.41 | (517) ~ (all_0_110_110 = e22)
% 16.51/4.41 |
% 16.51/4.41 | Combining equations (1148,481) yields a new equation:
% 16.51/4.41 | (488) e21 = e20
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 488 yields:
% 16.51/4.41 | (489) e21 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (489) can reduce 300 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (521) all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 16.51/4.41 |
% 16.51/4.41 | Applying alpha-rule on (521) yields:
% 16.51/4.41 | (493) all_0_109_109 = e20
% 16.51/4.41 | (470) ~ (all_0_105_105 = e21)
% 16.51/4.41 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 16.51/4.41 |
% 16.51/4.41 | Combining equations (586,493) yields a new equation:
% 16.51/4.41 | (499) e23 = e20
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 499 yields:
% 16.51/4.41 | (476) e23 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (476) can reduce 243 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (526) ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 16.51/4.41 |
% 16.51/4.41 | Applying alpha-rule on (526) yields:
% 16.51/4.41 | (470) ~ (all_0_105_105 = e21)
% 16.51/4.41 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 16.51/4.41 |
% 16.51/4.41 | Equations (360) can reduce 470 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (1081) ~ (all_0_109_109 = e23)
% 16.51/4.41 | (493) all_0_109_109 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (493) can reduce 502 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (1269) ~ (all_0_108_108 = e21)
% 16.51/4.41 | (1281) all_0_108_108 = e22 | all_0_108_108 = e20
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (1281), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (481) all_0_108_108 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (481) can reduce 446 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (446) ~ (all_0_108_108 = e20)
% 16.51/4.41 | (460) all_0_108_108 = e22
% 16.51/4.41 |
% 16.51/4.41 | Equations (460) can reduce 540 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (416) ~ (all_0_99_99 = e21)
% 16.51/4.41 | (1190) all_0_100_100 = e21 | all_0_101_101 = e21
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (1190), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (415) all_0_100_100 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (415) can reduce 289 to:
% 16.51/4.41 | (416) ~ (all_0_99_99 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Equations (415) can reduce 303 to:
% 16.51/4.41 | (1268) ~ (all_0_108_108 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 1268 yields:
% 16.51/4.41 | (1269) ~ (all_0_108_108 = e21)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (314), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (1148) all_0_108_108 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (1148) can reduce 1269 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (1269) ~ (all_0_108_108 = e21)
% 16.51/4.41 | (1281) all_0_108_108 = e22 | all_0_108_108 = e20
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (1281), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (481) all_0_108_108 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (481) can reduce 446 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (446) ~ (all_0_108_108 = e20)
% 16.51/4.41 | (460) all_0_108_108 = e22
% 16.51/4.41 |
% 16.51/4.41 | Equations (460) can reduce 134 to:
% 16.51/4.41 | (2329) ~ (all_0_107_107 = e22)
% 16.51/4.41 |
% 16.51/4.41 | Equations (460) can reduce 124 to:
% 16.51/4.41 | (2369) ~ (all_0_109_109 = e22)
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 2369 yields:
% 16.51/4.41 | (154) ~ (all_0_109_109 = e22)
% 16.51/4.41 |
% 16.51/4.41 | Equations (460) can reduce 1269 to:
% 16.51/4.41 | (224) ~ (e22 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Equations (460) can reduce 446 to:
% 16.51/4.41 | (122) ~ (e22 = e20)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (143), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (419) all_0_99_99 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (419) can reduce 416 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (416) ~ (all_0_99_99 = e21)
% 16.51/4.41 | (422) all_0_103_103 = e21 | all_0_107_107 = e21
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (256), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (423) all_0_107_107 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (423) can reduce 123 to:
% 16.51/4.41 | (363) ~ (all_0_103_103 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Equations (423) can reduce 36 to:
% 16.51/4.41 | (300) ~ (e21 = e20)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (317), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (428) all_0_103_103 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (428) can reduce 363 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (363) ~ (all_0_103_103 = e21)
% 16.51/4.41 | (3214) all_0_104_104 = e21 | all_0_105_105 = e21
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (229), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (2060) all_0_101_101 = e21
% 16.51/4.41 |
% 16.51/4.41 | Combining equations (495,2060) yields a new equation:
% 16.51/4.41 | (489) e21 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (489) can reduce 300 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (362) ~ (all_0_101_101 = e21)
% 16.51/4.41 | (2378) all_0_105_105 = e21 | all_0_109_109 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (495) can reduce 362 to:
% 16.51/4.41 | (449) ~ (e21 = e20)
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 449 yields:
% 16.51/4.41 | (300) ~ (e21 = e20)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (3214), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (432) all_0_104_104 = e21
% 16.51/4.41 |
% 16.51/4.41 | Combining equations (444,432) yields a new equation:
% 16.51/4.41 | (489) e21 = e20
% 16.51/4.41 |
% 16.51/4.41 | Equations (489) can reduce 300 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (364) ~ (all_0_104_104 = e21)
% 16.51/4.41 | (360) all_0_105_105 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (360) can reduce 28 to:
% 16.51/4.41 | (363) ~ (all_0_103_103 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Equations (360) can reduce 82 to:
% 16.51/4.41 | (426) ~ (all_0_109_109 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Simplifying 426 yields:
% 16.51/4.41 | (427) ~ (all_0_109_109 = e21)
% 16.51/4.41 |
% 16.51/4.41 | Equations (360) can reduce 1142 to:
% 16.51/4.41 | (300) ~ (e21 = e20)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (160), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (440) all_0_109_109 = e21
% 16.51/4.41 |
% 16.51/4.41 | Equations (440) can reduce 427 to:
% 16.51/4.41 | (420) $false
% 16.51/4.41 |
% 16.51/4.41 |-The branch is then unsatisfiable
% 16.51/4.41 |-Branch two:
% 16.51/4.41 | (427) ~ (all_0_109_109 = e21)
% 16.51/4.41 | (443) all_0_109_109 = e23 | all_0_109_109 = e20
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (443), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (586) all_0_109_109 = e23
% 16.51/4.41 |
% 16.51/4.41 | Equations (586) can reduce 502 to:
% 16.51/4.41 | (243) ~ (e23 = e20)
% 16.51/4.41 |
% 16.51/4.41 +-Applying beta-rule and splitting (45), into two cases.
% 16.51/4.41 |-Branch one:
% 16.51/4.41 | (462) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22)) | (all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)))
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (462), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (463) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_108_108 = e20 & ~ (all_0_110_110 = e22))
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (463), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (464) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)) | (all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (464), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (465) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20)) | (all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23))
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (465), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (466) (all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)) | (all_0_102_102 = e23 & ~ (all_0_110_110 = e20))
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (466), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (467) all_0_101_101 = e23 & ~ (all_0_99_99 = e21) & ~ (all_0_105_105 = e21)
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (467) yields:
% 16.51/4.42 | (468) all_0_101_101 = e23
% 16.51/4.42 | (416) ~ (all_0_99_99 = e21)
% 16.51/4.42 | (470) ~ (all_0_105_105 = e21)
% 16.51/4.42 |
% 16.51/4.42 | Combining equations (495,468) yields a new equation:
% 16.51/4.42 | (476) e23 = e20
% 16.51/4.42 |
% 16.51/4.42 | Equations (476) can reduce 243 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (472) all_0_102_102 = e23 & ~ (all_0_110_110 = e20)
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (472) yields:
% 16.51/4.42 | (473) all_0_102_102 = e23
% 16.51/4.42 | (474) ~ (all_0_110_110 = e20)
% 16.51/4.42 |
% 16.51/4.42 | Equations (503) can reduce 474 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (505) all_0_103_103 = e21 & ~ (all_0_99_99 = e23) & ~ (all_0_105_105 = e23)
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (505) yields:
% 16.51/4.42 | (428) all_0_103_103 = e21
% 16.51/4.42 | (507) ~ (all_0_99_99 = e23)
% 16.51/4.42 | (508) ~ (all_0_105_105 = e23)
% 16.51/4.42 |
% 16.51/4.42 | Equations (428) can reduce 363 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (510) all_0_104_104 = e21 & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (510) yields:
% 16.51/4.42 | (432) all_0_104_104 = e21
% 16.51/4.42 | (512) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 16.51/4.42 |
% 16.51/4.42 | Combining equations (444,432) yields a new equation:
% 16.51/4.42 | (489) e21 = e20
% 16.51/4.42 |
% 16.51/4.42 | Equations (489) can reduce 300 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (515) all_0_108_108 = e20 & ~ (all_0_110_110 = e22)
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (515) yields:
% 16.51/4.42 | (481) all_0_108_108 = e20
% 16.51/4.42 | (517) ~ (all_0_110_110 = e22)
% 16.51/4.42 |
% 16.51/4.42 | Combining equations (460,481) yields a new equation:
% 16.51/4.42 | (482) e22 = e20
% 16.51/4.42 |
% 16.51/4.42 | Simplifying 482 yields:
% 16.51/4.42 | (457) e22 = e20
% 16.51/4.42 |
% 16.51/4.42 | Equations (457) can reduce 122 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (521) all_0_109_109 = e20 & ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (521) yields:
% 16.51/4.42 | (493) all_0_109_109 = e20
% 16.51/4.42 | (470) ~ (all_0_105_105 = e21)
% 16.51/4.42 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 16.51/4.42 |
% 16.51/4.42 | Combining equations (586,493) yields a new equation:
% 16.51/4.42 | (499) e23 = e20
% 16.51/4.42 |
% 16.51/4.42 | Simplifying 499 yields:
% 16.51/4.42 | (476) e23 = e20
% 16.51/4.42 |
% 16.51/4.42 | Equations (476) can reduce 243 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (526) ~ (all_0_105_105 = e21) & ( ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23))
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (526) yields:
% 16.51/4.42 | (470) ~ (all_0_105_105 = e21)
% 16.51/4.42 | (524) ~ (all_0_99_99 = e21) | ~ (all_0_101_101 = e23)
% 16.51/4.42 |
% 16.51/4.42 | Equations (360) can reduce 470 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (1081) ~ (all_0_109_109 = e23)
% 16.51/4.42 | (493) all_0_109_109 = e20
% 16.51/4.42 |
% 16.51/4.42 | Equations (493) can reduce 502 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (1115) ~ (all_0_107_107 = e21)
% 16.51/4.42 | (2466) all_0_107_107 = e23 | all_0_107_107 = e22
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (51), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (423) all_0_107_107 = e21
% 16.51/4.42 |
% 16.51/4.42 | Equations (423) can reduce 1115 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (1115) ~ (all_0_107_107 = e21)
% 16.51/4.42 | (1116) all_0_108_108 = e21 | all_0_109_109 = e21
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (422), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (428) all_0_103_103 = e21
% 16.51/4.42 |
% 16.51/4.42 | Equations (428) can reduce 28 to:
% 16.51/4.42 | (2454) ~ (all_0_105_105 = e21)
% 16.51/4.42 |
% 16.51/4.42 | Simplifying 2454 yields:
% 16.51/4.42 | (470) ~ (all_0_105_105 = e21)
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (295), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (360) all_0_105_105 = e21
% 16.51/4.42 |
% 16.51/4.42 | Equations (360) can reduce 470 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (470) ~ (all_0_105_105 = e21)
% 16.51/4.42 | (2339) all_0_105_105 = e23 | all_0_105_105 = e20
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (1116), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (1148) all_0_108_108 = e21
% 16.51/4.42 |
% 16.51/4.42 | Combining equations (1148,460) yields a new equation:
% 16.51/4.42 | (452) e22 = e21
% 16.51/4.42 |
% 16.51/4.42 | Equations (452) can reduce 224 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (1269) ~ (all_0_108_108 = e21)
% 16.51/4.42 | (440) all_0_109_109 = e21
% 16.51/4.42 |
% 16.51/4.42 | Equations (440) can reduce 154 to:
% 16.51/4.42 | (367) ~ (e22 = e21)
% 16.51/4.42 |
% 16.51/4.42 | Simplifying 367 yields:
% 16.51/4.42 | (224) ~ (e22 = e21)
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (2466), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (1321) all_0_107_107 = e23
% 16.51/4.42 |
% 16.51/4.42 | Equations (1321) can reduce 309 to:
% 16.51/4.42 | (507) ~ (all_0_99_99 = e23)
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (2339), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (1463) all_0_105_105 = e23
% 16.51/4.42 |
% 16.51/4.42 | Equations (1463) can reduce 264 to:
% 16.51/4.42 | (25) ~ (e23 = e22)
% 16.51/4.42 |
% 16.51/4.42 | Equations (1463) can reduce 1142 to:
% 16.51/4.42 | (243) ~ (e23 = e20)
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (101), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (473) all_0_102_102 = e23
% 16.51/4.42 |
% 16.51/4.42 | Equations (473) can reduce 221 to:
% 16.51/4.42 | (507) ~ (all_0_99_99 = e23)
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (315), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (552) all_0_99_99 = e22
% 16.51/4.42 |
% 16.51/4.42 | Equations (552) can reduce 507 to:
% 16.51/4.42 | (1407) ~ (e23 = e22)
% 16.51/4.42 |
% 16.51/4.42 | Simplifying 1407 yields:
% 16.51/4.42 | (25) ~ (e23 = e22)
% 16.51/4.42 |
% 16.51/4.42 | Equations (552) can reduce 233 to:
% 16.51/4.42 | (122) ~ (e22 = e20)
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (140), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (575) all_0_102_102 = e22
% 16.51/4.42 |
% 16.51/4.42 | Combining equations (473,575) yields a new equation:
% 16.51/4.42 | (1447) e23 = e22
% 16.51/4.42 |
% 16.51/4.42 | Simplifying 1447 yields:
% 16.51/4.42 | (1094) e23 = e22
% 16.51/4.42 |
% 16.51/4.42 | Equations (1094) can reduce 25 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (554) ~ (all_0_102_102 = e22)
% 16.51/4.42 | (578) all_0_106_106 = e22 | all_0_110_110 = e22
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (578), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (579) all_0_106_106 = e22
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (209), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (405) all_0_117_117 = e11
% 16.51/4.42 |
% 16.51/4.42 | Equations (405) can reduce 340 to:
% 16.51/4.42 | (408) ~ (all_0_115_115 = e11)
% 16.51/4.42 |
% 16.51/4.42 | Equations (405) can reduce 142 to:
% 16.51/4.42 | (659) ~ (all_0_121_121 = e11)
% 16.51/4.42 |
% 16.51/4.42 | Simplifying 659 yields:
% 16.51/4.42 | (660) ~ (all_0_121_121 = e11)
% 16.51/4.42 |
% 16.51/4.42 | Equations (405) can reduce 939 to:
% 16.51/4.42 | (271) ~ (e11 = e10)
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (94), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (680) all_0_121_121 = e11
% 16.51/4.42 |
% 16.51/4.42 | Equations (680) can reduce 660 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (660) ~ (all_0_121_121 = e11)
% 16.51/4.42 | (683) all_0_121_121 = e13 | all_0_121_121 = e10
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (683), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (722) all_0_121_121 = e13
% 16.51/4.42 |
% 16.51/4.42 | Equations (722) can reduce 720 to:
% 16.51/4.42 | (179) ~ (e13 = e10)
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (14), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (602) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12)) | (all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)))
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (602), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (603) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))) | (all_0_120_120 = e10 & ~ (all_0_122_122 = e12))
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (603), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (604) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)))
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (604), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (605) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10)) | (all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13))
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (605), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (606) (all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)) | (all_0_114_114 = e13 & ~ (all_0_122_122 = e10))
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (606), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (607) all_0_113_113 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_117_117 = e11)
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (607) yields:
% 16.51/4.42 | (608) all_0_113_113 = e13
% 16.51/4.42 | (609) ~ (all_0_111_111 = e11)
% 16.51/4.42 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.42 |
% 16.51/4.42 | Combining equations (718,608) yields a new equation:
% 16.51/4.42 | (735) e13 = e10
% 16.51/4.42 |
% 16.51/4.42 | Equations (735) can reduce 179 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (612) all_0_114_114 = e13 & ~ (all_0_122_122 = e10)
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (612) yields:
% 16.51/4.42 | (613) all_0_114_114 = e13
% 16.51/4.42 | (614) ~ (all_0_122_122 = e10)
% 16.51/4.42 |
% 16.51/4.42 | Equations (758) can reduce 614 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (625) all_0_115_115 = e11 & ~ (all_0_111_111 = e13) & ~ (all_0_117_117 = e13)
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (625) yields:
% 16.51/4.42 | (626) all_0_115_115 = e11
% 16.51/4.42 | (627) ~ (all_0_111_111 = e13)
% 16.51/4.42 | (628) ~ (all_0_117_117 = e13)
% 16.51/4.42 |
% 16.51/4.42 | Equations (626) can reduce 408 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (630) all_0_116_116 = e11 & ( ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12))
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (630) yields:
% 16.51/4.42 | (597) all_0_116_116 = e11
% 16.51/4.42 | (632) ~ (all_0_120_120 = e10) | ~ (all_0_122_122 = e12)
% 16.51/4.42 |
% 16.51/4.42 | Combining equations (745,597) yields a new equation:
% 16.51/4.42 | (637) e11 = e10
% 16.51/4.42 |
% 16.51/4.42 | Equations (637) can reduce 271 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (634) all_0_120_120 = e10 & ~ (all_0_122_122 = e12)
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (634) yields:
% 16.51/4.42 | (635) all_0_120_120 = e10
% 16.51/4.42 | (636) ~ (all_0_122_122 = e12)
% 16.51/4.42 |
% 16.51/4.42 | Equations (635) can reduce 823 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (639) all_0_121_121 = e10 & ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (639) yields:
% 16.51/4.42 | (640) all_0_121_121 = e10
% 16.51/4.42 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.42 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.51/4.42 |
% 16.51/4.42 | Combining equations (722,640) yields a new equation:
% 16.51/4.42 | (840) e13 = e10
% 16.51/4.42 |
% 16.51/4.42 | Simplifying 840 yields:
% 16.51/4.42 | (735) e13 = e10
% 16.51/4.42 |
% 16.51/4.42 | Equations (735) can reduce 179 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (644) ~ (all_0_117_117 = e11) & ( ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13))
% 16.51/4.42 |
% 16.51/4.42 | Applying alpha-rule on (644) yields:
% 16.51/4.42 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.42 | (642) ~ (all_0_111_111 = e11) | ~ (all_0_113_113 = e13)
% 16.51/4.42 |
% 16.51/4.42 | Equations (405) can reduce 610 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (871) ~ (all_0_121_121 = e13)
% 16.51/4.42 | (640) all_0_121_121 = e10
% 16.51/4.42 |
% 16.51/4.42 | Equations (640) can reduce 720 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.42 | (1839) all_0_117_117 = e13 | all_0_117_117 = e10
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (166), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (692) all_0_113_113 = e11
% 16.51/4.42 |
% 16.51/4.42 | Combining equations (718,692) yields a new equation:
% 16.51/4.42 | (637) e11 = e10
% 16.51/4.42 |
% 16.51/4.42 | Equations (637) can reduce 271 to:
% 16.51/4.42 | (420) $false
% 16.51/4.42 |
% 16.51/4.42 |-The branch is then unsatisfiable
% 16.51/4.42 |-Branch two:
% 16.51/4.42 | (407) ~ (all_0_113_113 = e11)
% 16.51/4.42 | (1902) all_0_117_117 = e11 | all_0_121_121 = e11
% 16.51/4.42 |
% 16.51/4.42 +-Applying beta-rule and splitting (174), into two cases.
% 16.51/4.42 |-Branch one:
% 16.51/4.42 | (626) all_0_115_115 = e11
% 16.51/4.42 |
% 16.51/4.42 | Equations (626) can reduce 218 to:
% 16.51/4.42 | (609) ~ (all_0_111_111 = e11)
% 16.51/4.42 |
% 16.51/4.42 | Equations (626) can reduce 340 to:
% 16.51/4.42 | (3562) ~ (all_0_117_117 = e11)
% 16.51/4.42 |
% 16.51/4.42 | Simplifying 3562 yields:
% 16.51/4.42 | (610) ~ (all_0_117_117 = e11)
% 16.51/4.42 |
% 16.51/4.42 | From (626) and (170) follows:
% 16.51/4.43 | (3564) h3(e11) = all_0_31_31
% 16.51/4.43 |
% 16.51/4.43 +-Applying beta-rule and splitting (1839), into two cases.
% 16.51/4.43 |-Branch one:
% 16.51/4.43 | (978) all_0_117_117 = e13
% 16.51/4.43 |
% 16.51/4.43 | Equations (978) can reduce 273 to:
% 16.51/4.43 | (3566) ~ (all_0_118_118 = e13)
% 16.51/4.43 |
% 16.51/4.43 | Simplifying 3566 yields:
% 16.51/4.43 | (1045) ~ (all_0_118_118 = e13)
% 16.51/4.43 |
% 16.51/4.43 | Equations (978) can reduce 142 to:
% 16.51/4.43 | (3568) ~ (all_0_121_121 = e13)
% 16.51/4.43 |
% 16.51/4.43 | Simplifying 3568 yields:
% 16.51/4.43 | (871) ~ (all_0_121_121 = e13)
% 16.51/4.43 |
% 16.51/4.43 | Equations (978) can reduce 230 to:
% 16.51/4.43 | (261) ~ (e13 = e12)
% 16.51/4.43 |
% 16.51/4.43 | Equations (978) can reduce 610 to:
% 16.51/4.43 | (323) ~ (e13 = e11)
% 16.51/4.43 |
% 16.51/4.43 | Equations (978) can reduce 939 to:
% 16.51/4.43 | (179) ~ (e13 = e10)
% 16.51/4.43 |
% 16.51/4.43 | From (978) and (268) follows:
% 16.51/4.43 | (3573) h3(e13) = all_0_33_33
% 16.51/4.43 |
% 16.51/4.43 +-Applying beta-rule and splitting (48), into two cases.
% 16.51/4.43 |-Branch one:
% 16.51/4.43 | (587) all_0_111_111 = e11
% 16.51/4.43 |
% 16.51/4.43 | Equations (587) can reduce 609 to:
% 16.51/4.43 | (420) $false
% 16.51/4.43 |
% 16.51/4.43 |-The branch is then unsatisfiable
% 16.51/4.43 |-Branch two:
% 16.51/4.43 | (609) ~ (all_0_111_111 = e11)
% 16.51/4.43 | (653) all_0_112_112 = e11 | all_0_113_113 = e11
% 16.51/4.43 |
% 16.51/4.43 +-Applying beta-rule and splitting (136), into two cases.
% 16.51/4.43 |-Branch one:
% 16.51/4.43 | (1598) all_0_119_119 = e13
% 16.51/4.43 |
% 16.51/4.43 | Equations (1598) can reduce 337 to:
% 16.51/4.43 | (3579) ~ (all_0_120_120 = e13)
% 16.51/4.43 |
% 16.51/4.43 | Simplifying 3579 yields:
% 16.51/4.43 | (49) ~ (all_0_120_120 = e13)
% 16.51/4.43 |
% 16.51/4.43 | Equations (1598) can reduce 21 to:
% 16.51/4.43 | (3568) ~ (all_0_121_121 = e13)
% 16.51/4.43 |
% 16.51/4.43 | Simplifying 3568 yields:
% 16.51/4.43 | (871) ~ (all_0_121_121 = e13)
% 16.51/4.43 |
% 16.51/4.43 | Equations (1598) can reduce 329 to:
% 16.51/4.43 | (179) ~ (e13 = e10)
% 16.51/4.43 |
% 16.51/4.43 | From (1598) and (162) follows:
% 16.51/4.43 | (3584) h3(e13) = all_0_35_35
% 16.51/4.43 |
% 16.51/4.43 +-Applying beta-rule and splitting (327), into two cases.
% 16.51/4.43 |-Branch one:
% 16.51/4.43 | (1042) all_0_118_118 = e13
% 16.51/4.43 |
% 16.51/4.43 | Equations (1042) can reduce 1045 to:
% 16.51/4.43 | (420) $false
% 16.51/4.43 |
% 16.51/4.43 |-The branch is then unsatisfiable
% 16.51/4.43 |-Branch two:
% 16.51/4.43 | (1045) ~ (all_0_118_118 = e13)
% 16.51/4.43 | (3588) all_0_118_118 = e12 | all_0_118_118 = e10
% 16.51/4.43 |
% 16.51/4.43 +-Applying beta-rule and splitting (210), into two cases.
% 16.51/4.43 |-Branch one:
% 16.51/4.43 | (1074) all_0_119_119 = e12
% 16.51/4.43 |
% 16.51/4.43 | Combining equations (1074,1598) yields a new equation:
% 16.51/4.43 | (882) e13 = e12
% 16.51/4.43 |
% 16.51/4.43 | Equations (882) can reduce 261 to:
% 16.51/4.43 | (420) $false
% 16.51/4.43 |
% 16.51/4.43 |-The branch is then unsatisfiable
% 16.51/4.43 |-Branch two:
% 16.51/4.43 | (1581) ~ (all_0_119_119 = e12)
% 16.51/4.43 | (3593) all_0_120_120 = e12 | all_0_122_122 = e12
% 16.51/4.43 |
% 16.51/4.43 +-Applying beta-rule and splitting (3588), into two cases.
% 16.51/4.43 |-Branch one:
% 16.51/4.43 | (764) all_0_118_118 = e10
% 16.51/4.43 |
% 16.51/4.43 | Equations (764) can reduce 819 to:
% 16.51/4.43 | (420) $false
% 16.51/4.43 |
% 16.51/4.43 |-The branch is then unsatisfiable
% 16.51/4.43 |-Branch two:
% 16.51/4.43 | (819) ~ (all_0_118_118 = e10)
% 16.51/4.43 | (1640) all_0_118_118 = e12
% 16.51/4.43 |
% 16.51/4.43 | Equations (1640) can reduce 819 to:
% 16.51/4.43 | (148) ~ (e12 = e10)
% 16.51/4.43 |
% 16.51/4.43 | From (1640) and (32) follows:
% 16.72/4.43 | (3599) h3(e12) = all_0_34_34
% 16.72/4.43 |
% 16.72/4.43 +-Applying beta-rule and splitting (94), into two cases.
% 16.72/4.43 |-Branch one:
% 16.72/4.43 | (680) all_0_121_121 = e11
% 16.72/4.43 |
% 16.72/4.43 | Equations (680) can reduce 316 to:
% 16.72/4.43 | (410) ~ (e12 = e11)
% 16.72/4.43 |
% 16.72/4.43 | Simplifying 410 yields:
% 16.72/4.43 | (290) ~ (e12 = e11)
% 16.72/4.43 |
% 16.72/4.43 | Equations (680) can reduce 720 to:
% 16.72/4.43 | (271) ~ (e11 = e10)
% 16.72/4.43 |
% 16.72/4.43 | From (680) and (213) follows:
% 16.72/4.43 | (3604) h3(e11) = all_0_37_37
% 16.72/4.43 |
% 16.72/4.43 +-Applying beta-rule and splitting (288), into two cases.
% 16.72/4.43 |-Branch one:
% 16.72/4.43 | (593) all_0_112_112 = e11
% 16.72/4.43 |
% 16.72/4.43 | Equations (593) can reduce 41 to:
% 16.72/4.43 | (669) ~ (all_0_120_120 = e11)
% 16.72/4.43 |
% 16.72/4.43 | Simplifying 669 yields:
% 16.72/4.43 | (670) ~ (all_0_120_120 = e11)
% 16.72/4.43 |
% 16.72/4.43 | From (593) and (265) follows:
% 16.72/4.43 | (671) h3(e11) = all_0_28_28
% 16.72/4.43 |
% 16.72/4.43 +-Applying beta-rule and splitting (119), into two cases.
% 16.72/4.43 |-Branch one:
% 16.72/4.43 | (600) all_0_120_120 = e11
% 16.72/4.43 |
% 16.72/4.43 | Equations (600) can reduce 670 to:
% 16.72/4.43 | (420) $false
% 16.72/4.43 |
% 16.72/4.43 |-The branch is then unsatisfiable
% 16.72/4.43 |-Branch two:
% 16.72/4.43 | (670) ~ (all_0_120_120 = e11)
% 16.72/4.43 | (687) all_0_120_120 = e12 | all_0_120_120 = e10
% 16.72/4.43 |
% 16.72/4.43 +-Applying beta-rule and splitting (255), into two cases.
% 16.72/4.43 |-Branch one:
% 16.72/4.43 | (959) all_0_112_112 = e12
% 16.72/4.43 |
% 16.72/4.43 | Combining equations (593,959) yields a new equation:
% 16.72/4.43 | (961) e12 = e11
% 16.72/4.43 |
% 16.72/4.43 | Equations (961) can reduce 290 to:
% 16.72/4.43 | (420) $false
% 16.72/4.43 |
% 16.72/4.43 |-The branch is then unsatisfiable
% 16.72/4.43 |-Branch two:
% 16.72/4.43 | (963) ~ (all_0_112_112 = e12)
% 16.72/4.43 | (964) all_0_116_116 = e12 | all_0_120_120 = e12
% 16.72/4.43 |
% 16.72/4.43 +-Applying beta-rule and splitting (146), into two cases.
% 16.72/4.43 |-Branch one:
% 16.72/4.43 | (700) all_0_111_111 = e12
% 16.72/4.43 |
% 16.72/4.43 | Equations (700) can reduce 333 to:
% 16.72/4.43 | (148) ~ (e12 = e10)
% 16.72/4.43 |
% 16.72/4.43 | From (700) and (246) follows:
% 16.72/4.43 | (703) h3(e12) = all_0_27_27
% 16.72/4.43 |
% 16.72/4.43 +-Applying beta-rule and splitting (252), into two cases.
% 16.72/4.43 |-Branch one:
% 16.72/4.43 | (613) all_0_114_114 = e13
% 16.72/4.43 |
% 16.72/4.43 | From (613) and (135) follows:
% 16.72/4.43 | (714) h3(e13) = all_0_30_30
% 16.72/4.43 |
% 16.72/4.43 +-Applying beta-rule and splitting (687), into two cases.
% 16.72/4.43 |-Branch one:
% 16.72/4.43 | (635) all_0_120_120 = e10
% 16.72/4.43 |
% 16.72/4.43 | Equations (635) can reduce 823 to:
% 16.72/4.43 | (420) $false
% 16.72/4.43 |
% 16.72/4.43 |-The branch is then unsatisfiable
% 16.72/4.43 |-Branch two:
% 16.72/4.43 | (823) ~ (all_0_120_120 = e10)
% 16.72/4.43 | (1580) all_0_120_120 = e12
% 16.72/4.43 |
% 16.72/4.43 | From (1580) and (212) follows:
% 16.72/4.43 | (3627) h3(e12) = all_0_36_36
% 16.72/4.43 |
% 16.72/4.43 | Instantiating formula (318) with e13, all_0_30_30, e23 and discharging atoms h3(e13) = all_0_30_30, h3(e13) = e23, yields:
% 16.72/4.43 | (728) all_0_30_30 = e23
% 16.72/4.43 |
% 16.72/4.43 | Instantiating formula (318) with e13, all_0_33_33, all_0_30_30 and discharging atoms h3(e13) = all_0_30_30, h3(e13) = all_0_33_33, yields:
% 16.72/4.43 | (3629) all_0_30_30 = all_0_33_33
% 16.72/4.43 |
% 16.72/4.43 | Instantiating formula (318) with e13, all_0_35_35, all_0_30_30 and discharging atoms h3(e13) = all_0_30_30, h3(e13) = all_0_35_35, yields:
% 16.72/4.43 | (3630) all_0_30_30 = all_0_35_35
% 16.72/4.43 |
% 16.72/4.43 | Instantiating formula (318) with e12, all_0_34_34, e22 and discharging atoms h3(e12) = all_0_34_34, h3(e12) = e22, yields:
% 16.72/4.43 | (3631) all_0_34_34 = e22
% 16.72/4.43 |
% 16.72/4.43 | Instantiating formula (318) with e12, all_0_34_34, all_0_27_27 and discharging atoms h3(e12) = all_0_27_27, h3(e12) = all_0_34_34, yields:
% 16.72/4.43 | (3632) all_0_27_27 = all_0_34_34
% 16.72/4.43 |
% 16.72/4.43 | Instantiating formula (318) with e12, all_0_36_36, all_0_27_27 and discharging atoms h3(e12) = all_0_27_27, h3(e12) = all_0_36_36, yields:
% 16.72/4.43 | (3633) all_0_27_27 = all_0_36_36
% 16.72/4.43 |
% 16.72/4.43 | Instantiating formula (318) with e11, all_0_28_28, e21 and discharging atoms h3(e11) = all_0_28_28, h3(e11) = e21, yields:
% 16.72/4.43 | (672) all_0_28_28 = e21
% 16.72/4.43 |
% 16.72/4.43 | Instantiating formula (318) with e11, all_0_31_31, all_0_28_28 and discharging atoms h3(e11) = all_0_28_28, h3(e11) = all_0_31_31, yields:
% 16.72/4.43 | (3635) all_0_28_28 = all_0_31_31
% 16.72/4.43 |
% 16.72/4.43 | Instantiating formula (318) with e11, all_0_37_37, all_0_28_28 and discharging atoms h3(e11) = all_0_28_28, h3(e11) = all_0_37_37, yields:
% 16.72/4.43 | (3636) all_0_28_28 = all_0_37_37
% 16.72/4.43 |
% 16.72/4.43 | Combining equations (3632,3633) yields a new equation:
% 16.72/4.43 | (3637) all_0_34_34 = all_0_36_36
% 16.72/4.43 |
% 16.72/4.43 | Simplifying 3637 yields:
% 16.72/4.43 | (769) all_0_34_34 = all_0_36_36
% 16.72/4.43 |
% 16.72/4.43 | Combining equations (3636,3635) yields a new equation:
% 16.72/4.43 | (3639) all_0_31_31 = all_0_37_37
% 16.72/4.43 |
% 16.72/4.43 | Combining equations (672,3635) yields a new equation:
% 16.72/4.43 | (3640) all_0_31_31 = e21
% 16.72/4.43 |
% 16.72/4.43 | Combining equations (3630,3629) yields a new equation:
% 16.72/4.43 | (3641) all_0_33_33 = all_0_35_35
% 16.72/4.43 |
% 16.72/4.43 | Combining equations (728,3629) yields a new equation:
% 16.72/4.43 | (3642) all_0_33_33 = e23
% 16.72/4.43 |
% 16.72/4.43 | Combining equations (3640,3639) yields a new equation:
% 16.72/4.43 | (3643) all_0_37_37 = e21
% 16.72/4.43 |
% 16.72/4.43 | Combining equations (3642,3641) yields a new equation:
% 16.72/4.44 | (3644) all_0_35_35 = e23
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (3631,769) yields a new equation:
% 16.72/4.44 | (3645) all_0_36_36 = e22
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (3645,769) yields a new equation:
% 16.72/4.44 | (3631) all_0_34_34 = e22
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (3644,3641) yields a new equation:
% 16.72/4.44 | (3642) all_0_33_33 = e23
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (3643,3639) yields a new equation:
% 16.72/4.44 | (3640) all_0_31_31 = e21
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (3642,3629) yields a new equation:
% 16.72/4.44 | (728) all_0_30_30 = e23
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (3640,3635) yields a new equation:
% 16.72/4.44 | (672) all_0_28_28 = e21
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (3645,3633) yields a new equation:
% 16.72/4.44 | (709) all_0_27_27 = e22
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (141), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (774) ~ (all_0_27_27 = all_0_99_99)
% 16.72/4.44 |
% 16.72/4.44 | Equations (709,552) can reduce 774 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (776) all_0_27_27 = all_0_99_99
% 16.72/4.44 | (777) ~ (all_0_28_28 = all_0_100_100) | ~ (all_0_29_29 = all_0_101_101) | ~ (all_0_30_30 = all_0_102_102) | ~ (all_0_31_31 = all_0_103_103) | ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (777), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (778) ~ (all_0_28_28 = all_0_100_100)
% 16.72/4.44 |
% 16.72/4.44 | Equations (672,415) can reduce 778 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (780) all_0_28_28 = all_0_100_100
% 16.72/4.44 | (781) ~ (all_0_29_29 = all_0_101_101) | ~ (all_0_30_30 = all_0_102_102) | ~ (all_0_31_31 = all_0_103_103) | ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (781), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (782) ~ (all_0_29_29 = all_0_101_101)
% 16.72/4.44 |
% 16.72/4.44 | Equations (730,495) can reduce 782 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (784) all_0_29_29 = all_0_101_101
% 16.72/4.44 | (785) ~ (all_0_30_30 = all_0_102_102) | ~ (all_0_31_31 = all_0_103_103) | ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (785), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (786) ~ (all_0_30_30 = all_0_102_102)
% 16.72/4.44 |
% 16.72/4.44 | Equations (728,473) can reduce 786 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (788) all_0_30_30 = all_0_102_102
% 16.72/4.44 | (789) ~ (all_0_31_31 = all_0_103_103) | ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (789), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (790) ~ (all_0_31_31 = all_0_103_103)
% 16.72/4.44 |
% 16.72/4.44 | Equations (3640,428) can reduce 790 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (792) all_0_31_31 = all_0_103_103
% 16.72/4.44 | (793) ~ (all_0_32_32 = all_0_104_104) | ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (793), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (794) ~ (all_0_32_32 = all_0_104_104)
% 16.72/4.44 |
% 16.72/4.44 | Equations (3256,444) can reduce 794 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (796) all_0_32_32 = all_0_104_104
% 16.72/4.44 | (797) ~ (all_0_33_33 = all_0_105_105) | ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (797), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (798) ~ (all_0_33_33 = all_0_105_105)
% 16.72/4.44 |
% 16.72/4.44 | Equations (3642,1463) can reduce 798 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (800) all_0_33_33 = all_0_105_105
% 16.72/4.44 | (801) ~ (all_0_34_34 = all_0_106_106) | ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (801), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (802) ~ (all_0_34_34 = all_0_106_106)
% 16.72/4.44 |
% 16.72/4.44 | Equations (3631,579) can reduce 802 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (804) all_0_34_34 = all_0_106_106
% 16.72/4.44 | (805) ~ (all_0_35_35 = all_0_107_107) | ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (805), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (806) ~ (all_0_35_35 = all_0_107_107)
% 16.72/4.44 |
% 16.72/4.44 | Equations (3644,1321) can reduce 806 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (808) all_0_35_35 = all_0_107_107
% 16.72/4.44 | (809) ~ (all_0_36_36 = all_0_108_108) | ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (809), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (810) ~ (all_0_36_36 = all_0_108_108)
% 16.72/4.44 |
% 16.72/4.44 | Equations (3645,460) can reduce 810 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (812) all_0_36_36 = all_0_108_108
% 16.72/4.44 | (813) ~ (all_0_37_37 = all_0_109_109) | ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (813), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (814) ~ (all_0_37_37 = all_0_109_109)
% 16.72/4.44 |
% 16.72/4.44 | Equations (3643,440) can reduce 814 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (816) all_0_37_37 = all_0_109_109
% 16.72/4.44 | (817) ~ (all_0_38_38 = all_0_110_110)
% 16.72/4.44 |
% 16.72/4.44 | Equations (3261,503) can reduce 817 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (874) ~ (all_0_114_114 = e13)
% 16.72/4.44 | (875) all_0_114_114 = e12 | all_0_114_114 = e10
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (57), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (613) all_0_114_114 = e13
% 16.72/4.44 |
% 16.72/4.44 | Equations (613) can reduce 874 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (874) ~ (all_0_114_114 = e13)
% 16.72/4.44 | (879) all_0_118_118 = e13 | all_0_122_122 = e13
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (3593), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (1580) all_0_120_120 = e12
% 16.72/4.44 |
% 16.72/4.44 | Equations (1580) can reduce 49 to:
% 16.72/4.44 | (3704) ~ (e13 = e12)
% 16.72/4.44 |
% 16.72/4.44 | Simplifying 3704 yields:
% 16.72/4.44 | (261) ~ (e13 = e12)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (879), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (1042) all_0_118_118 = e13
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (1640,1042) yields a new equation:
% 16.72/4.44 | (882) e13 = e12
% 16.72/4.44 |
% 16.72/4.44 | Equations (882) can reduce 261 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (1045) ~ (all_0_118_118 = e13)
% 16.72/4.44 | (749) all_0_122_122 = e13
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (758,749) yields a new equation:
% 16.72/4.44 | (735) e13 = e10
% 16.72/4.44 |
% 16.72/4.44 | Equations (735) can reduce 179 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (3713) ~ (all_0_120_120 = e12)
% 16.72/4.44 | (761) all_0_122_122 = e12
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (761,758) yields a new equation:
% 16.72/4.44 | (1744) e12 = e10
% 16.72/4.44 |
% 16.72/4.44 | Simplifying 1744 yields:
% 16.72/4.44 | (821) e12 = e10
% 16.72/4.44 |
% 16.72/4.44 | Equations (821) can reduce 148 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (954) ~ (all_0_111_111 = e12)
% 16.72/4.44 | (955) all_0_115_115 = e12 | all_0_119_119 = e12
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (964), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (756) all_0_116_116 = e12
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (745,756) yields a new equation:
% 16.72/4.44 | (821) e12 = e10
% 16.72/4.44 |
% 16.72/4.44 | Equations (821) can reduce 148 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (1579) ~ (all_0_116_116 = e12)
% 16.72/4.44 | (1580) all_0_120_120 = e12
% 16.72/4.44 |
% 16.72/4.44 | Equations (1580) can reduce 49 to:
% 16.72/4.44 | (3704) ~ (e13 = e12)
% 16.72/4.44 |
% 16.72/4.44 | Simplifying 3704 yields:
% 16.72/4.44 | (261) ~ (e13 = e12)
% 16.72/4.44 |
% 16.72/4.44 | Equations (1580) can reduce 670 to:
% 16.72/4.44 | (290) ~ (e12 = e11)
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (955), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (952) all_0_115_115 = e12
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (626,952) yields a new equation:
% 16.72/4.44 | (961) e12 = e11
% 16.72/4.44 |
% 16.72/4.44 | Equations (961) can reduce 290 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (702) ~ (all_0_115_115 = e12)
% 16.72/4.44 | (1074) all_0_119_119 = e12
% 16.72/4.44 |
% 16.72/4.44 | Combining equations (1074,1598) yields a new equation:
% 16.72/4.44 | (882) e13 = e12
% 16.72/4.44 |
% 16.72/4.44 | Equations (882) can reduce 261 to:
% 16.72/4.44 | (420) $false
% 16.72/4.44 |
% 16.72/4.44 |-The branch is then unsatisfiable
% 16.72/4.44 |-Branch two:
% 16.72/4.44 | (589) ~ (all_0_112_112 = e11)
% 16.72/4.44 | (596) all_0_116_116 = e11 | all_0_120_120 = e11
% 16.72/4.44 |
% 16.72/4.44 +-Applying beta-rule and splitting (215), into two cases.
% 16.72/4.44 |-Branch one:
% 16.72/4.44 | (593) all_0_112_112 = e11
% 16.72/4.44 |
% 16.72/4.45 | Equations (593) can reduce 589 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (589) ~ (all_0_112_112 = e11)
% 16.72/4.45 | (1852) all_0_112_112 = e12 | all_0_112_112 = e10
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (653), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (593) all_0_112_112 = e11
% 16.72/4.45 |
% 16.72/4.45 | Equations (593) can reduce 589 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (589) ~ (all_0_112_112 = e11)
% 16.72/4.45 | (692) all_0_113_113 = e11
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (718,692) yields a new equation:
% 16.72/4.45 | (637) e11 = e10
% 16.72/4.45 |
% 16.72/4.45 | Equations (637) can reduce 271 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (660) ~ (all_0_121_121 = e11)
% 16.72/4.45 | (683) all_0_121_121 = e13 | all_0_121_121 = e10
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (683), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (722) all_0_121_121 = e13
% 16.72/4.45 |
% 16.72/4.45 | Equations (722) can reduce 871 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (871) ~ (all_0_121_121 = e13)
% 16.72/4.45 | (640) all_0_121_121 = e10
% 16.72/4.45 |
% 16.72/4.45 | Equations (640) can reduce 720 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (1773) ~ (all_0_119_119 = e13)
% 16.72/4.45 | (1791) all_0_121_121 = e13 | all_0_122_122 = e13
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (1902), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (405) all_0_117_117 = e11
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (978,405) yields a new equation:
% 16.72/4.45 | (1622) e13 = e11
% 16.72/4.45 |
% 16.72/4.45 | Simplifying 1622 yields:
% 16.72/4.45 | (850) e13 = e11
% 16.72/4.45 |
% 16.72/4.45 | Equations (850) can reduce 323 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (610) ~ (all_0_117_117 = e11)
% 16.72/4.45 | (680) all_0_121_121 = e11
% 16.72/4.45 |
% 16.72/4.45 | Equations (680) can reduce 871 to:
% 16.72/4.45 | (1564) ~ (e13 = e11)
% 16.72/4.45 |
% 16.72/4.45 | Simplifying 1564 yields:
% 16.72/4.45 | (323) ~ (e13 = e11)
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (1791), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (722) all_0_121_121 = e13
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (680,722) yields a new equation:
% 16.72/4.45 | (850) e13 = e11
% 16.72/4.45 |
% 16.72/4.45 | Equations (850) can reduce 323 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (871) ~ (all_0_121_121 = e13)
% 16.72/4.45 | (749) all_0_122_122 = e13
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (749,758) yields a new equation:
% 16.72/4.45 | (840) e13 = e10
% 16.72/4.45 |
% 16.72/4.45 | Simplifying 840 yields:
% 16.72/4.45 | (735) e13 = e10
% 16.72/4.45 |
% 16.72/4.45 | Equations (735) can reduce 179 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (628) ~ (all_0_117_117 = e13)
% 16.72/4.45 | (935) all_0_117_117 = e10
% 16.72/4.45 |
% 16.72/4.45 | Equations (935) can reduce 939 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (408) ~ (all_0_115_115 = e11)
% 16.72/4.45 | (1777) all_0_116_116 = e11 | all_0_117_117 = e11
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (1839), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (978) all_0_117_117 = e13
% 16.72/4.45 |
% 16.72/4.45 | Equations (978) can reduce 340 to:
% 16.72/4.45 | (951) ~ (all_0_115_115 = e13)
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (46), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (626) all_0_115_115 = e11
% 16.72/4.45 |
% 16.72/4.45 | Equations (626) can reduce 408 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (408) ~ (all_0_115_115 = e11)
% 16.72/4.45 | (699) all_0_115_115 = e13 | all_0_115_115 = e12
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (699), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (704) all_0_115_115 = e13
% 16.72/4.45 |
% 16.72/4.45 | Equations (704) can reduce 951 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (951) ~ (all_0_115_115 = e13)
% 16.72/4.45 | (952) all_0_115_115 = e12
% 16.72/4.45 |
% 16.72/4.45 | Equations (952) can reduce 27 to:
% 16.72/4.45 | (3787) ~ (all_0_119_119 = e12)
% 16.72/4.45 |
% 16.72/4.45 | Simplifying 3787 yields:
% 16.72/4.45 | (1581) ~ (all_0_119_119 = e12)
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (288), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (593) all_0_112_112 = e11
% 16.72/4.45 |
% 16.72/4.45 | Equations (593) can reduce 276 to:
% 16.72/4.45 | (1564) ~ (e13 = e11)
% 16.72/4.45 |
% 16.72/4.45 | Simplifying 1564 yields:
% 16.72/4.45 | (323) ~ (e13 = e11)
% 16.72/4.45 |
% 16.72/4.45 | Equations (593) can reduce 932 to:
% 16.72/4.45 | (271) ~ (e11 = e10)
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (1777), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (597) all_0_116_116 = e11
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (597,745) yields a new equation:
% 16.72/4.45 | (929) e11 = e10
% 16.72/4.45 |
% 16.72/4.45 | Simplifying 929 yields:
% 16.72/4.45 | (637) e11 = e10
% 16.72/4.45 |
% 16.72/4.45 | Equations (637) can reduce 271 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (409) ~ (all_0_116_116 = e11)
% 16.72/4.45 | (405) all_0_117_117 = e11
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (405,978) yields a new equation:
% 16.72/4.45 | (850) e13 = e11
% 16.72/4.45 |
% 16.72/4.45 | Equations (850) can reduce 323 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (589) ~ (all_0_112_112 = e11)
% 16.72/4.45 | (596) all_0_116_116 = e11 | all_0_120_120 = e11
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (215), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (593) all_0_112_112 = e11
% 16.72/4.45 |
% 16.72/4.45 | Equations (593) can reduce 589 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (589) ~ (all_0_112_112 = e11)
% 16.72/4.45 | (1852) all_0_112_112 = e12 | all_0_112_112 = e10
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (210), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (1074) all_0_119_119 = e12
% 16.72/4.45 |
% 16.72/4.45 | Equations (1074) can reduce 1581 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (1581) ~ (all_0_119_119 = e12)
% 16.72/4.45 | (3593) all_0_120_120 = e12 | all_0_122_122 = e12
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (1852), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (928) all_0_112_112 = e10
% 16.72/4.45 |
% 16.72/4.45 | Equations (928) can reduce 932 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (932) ~ (all_0_112_112 = e10)
% 16.72/4.45 | (959) all_0_112_112 = e12
% 16.72/4.45 |
% 16.72/4.45 | Equations (959) can reduce 41 to:
% 16.72/4.45 | (3815) ~ (all_0_120_120 = e12)
% 16.72/4.45 |
% 16.72/4.45 | Simplifying 3815 yields:
% 16.72/4.45 | (3713) ~ (all_0_120_120 = e12)
% 16.72/4.45 |
% 16.72/4.45 | Equations (959) can reduce 932 to:
% 16.72/4.45 | (148) ~ (e12 = e10)
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (3593), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (1580) all_0_120_120 = e12
% 16.72/4.45 |
% 16.72/4.45 | Equations (1580) can reduce 3713 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (3713) ~ (all_0_120_120 = e12)
% 16.72/4.45 | (761) all_0_122_122 = e12
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (758,761) yields a new equation:
% 16.72/4.45 | (821) e12 = e10
% 16.72/4.45 |
% 16.72/4.45 | Equations (821) can reduce 148 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (628) ~ (all_0_117_117 = e13)
% 16.72/4.45 | (935) all_0_117_117 = e10
% 16.72/4.45 |
% 16.72/4.45 | Equations (935) can reduce 939 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (538) ~ (all_0_106_106 = e22)
% 16.72/4.45 | (583) all_0_110_110 = e22
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (583,503) yields a new equation:
% 16.72/4.45 | (482) e22 = e20
% 16.72/4.45 |
% 16.72/4.45 | Simplifying 482 yields:
% 16.72/4.45 | (457) e22 = e20
% 16.72/4.45 |
% 16.72/4.45 | Equations (457) can reduce 122 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (1727) ~ (all_0_99_99 = e22)
% 16.72/4.45 | (3189) all_0_100_100 = e22 | all_0_102_102 = e22
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (3189), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (451) all_0_100_100 = e22
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (415,451) yields a new equation:
% 16.72/4.45 | (452) e22 = e21
% 16.72/4.45 |
% 16.72/4.45 | Equations (452) can reduce 224 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (454) ~ (all_0_100_100 = e22)
% 16.72/4.45 | (575) all_0_102_102 = e22
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (473,575) yields a new equation:
% 16.72/4.45 | (1447) e23 = e22
% 16.72/4.45 |
% 16.72/4.45 | Simplifying 1447 yields:
% 16.72/4.45 | (1094) e23 = e22
% 16.72/4.45 |
% 16.72/4.45 | Equations (1094) can reduce 25 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (1084) ~ (all_0_102_102 = e23)
% 16.72/4.45 | (1085) all_0_106_106 = e23 | all_0_110_110 = e23
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (249), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (549) all_0_99_99 = e23
% 16.72/4.45 |
% 16.72/4.45 | Equations (549) can reduce 507 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (507) ~ (all_0_99_99 = e23)
% 16.72/4.45 | (1970) all_0_101_101 = e23 | all_0_102_102 = e23
% 16.72/4.45 |
% 16.72/4.45 +-Applying beta-rule and splitting (1970), into two cases.
% 16.72/4.45 |-Branch one:
% 16.72/4.45 | (468) all_0_101_101 = e23
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (495,468) yields a new equation:
% 16.72/4.45 | (476) e23 = e20
% 16.72/4.45 |
% 16.72/4.45 | Equations (476) can reduce 243 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (1461) ~ (all_0_101_101 = e23)
% 16.72/4.45 | (473) all_0_102_102 = e23
% 16.72/4.45 |
% 16.72/4.45 | Equations (473) can reduce 1084 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (508) ~ (all_0_105_105 = e23)
% 16.72/4.45 | (1139) all_0_105_105 = e20
% 16.72/4.45 |
% 16.72/4.45 | Equations (1139) can reduce 1142 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (1325) ~ (all_0_107_107 = e23)
% 16.72/4.45 | (2254) all_0_107_107 = e22
% 16.72/4.45 |
% 16.72/4.45 | Equations (2254) can reduce 2329 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (363) ~ (all_0_103_103 = e21)
% 16.72/4.45 | (423) all_0_107_107 = e21
% 16.72/4.45 |
% 16.72/4.45 | Equations (423) can reduce 1115 to:
% 16.72/4.45 | (420) $false
% 16.72/4.45 |
% 16.72/4.45 |-The branch is then unsatisfiable
% 16.72/4.45 |-Branch two:
% 16.72/4.45 | (1122) ~ (all_0_100_100 = e21)
% 16.72/4.45 | (2060) all_0_101_101 = e21
% 16.72/4.45 |
% 16.72/4.45 | Combining equations (495,2060) yields a new equation:
% 16.72/4.45 | (489) e21 = e20
% 16.72/4.45 |
% 16.72/4.45 | Equations (489) can reduce 300 to:
% 16.72/4.46 | (420) $false
% 16.72/4.46 |
% 16.72/4.46 |-The branch is then unsatisfiable
% 16.72/4.46 |-Branch two:
% 16.72/4.46 | (926) ~ (all_0_113_113 = e10)
% 16.72/4.46 | (927) all_0_117_117 = e10 | all_0_121_121 = e10
% 16.72/4.46 |
% 16.72/4.46 +-Applying beta-rule and splitting (17), into two cases.
% 16.72/4.46 |-Branch one:
% 16.72/4.46 | (928) all_0_112_112 = e10
% 16.72/4.46 |
% 16.72/4.46 | Equations (928) can reduce 932 to:
% 16.72/4.46 | (420) $false
% 16.72/4.46 |
% 16.72/4.46 |-The branch is then unsatisfiable
% 16.72/4.46 |-Branch two:
% 16.72/4.46 | (932) ~ (all_0_112_112 = e10)
% 16.72/4.46 | (933) all_0_113_113 = e10 | all_0_114_114 = e10
% 16.72/4.46 |
% 16.72/4.46 +-Applying beta-rule and splitting (933), into two cases.
% 16.72/4.46 |-Branch one:
% 16.72/4.46 | (718) all_0_113_113 = e10
% 16.72/4.46 |
% 16.72/4.46 | Equations (718) can reduce 926 to:
% 16.72/4.46 | (420) $false
% 16.72/4.46 |
% 16.72/4.46 |-The branch is then unsatisfiable
% 16.72/4.46 |-Branch two:
% 16.72/4.46 | (926) ~ (all_0_113_113 = e10)
% 16.72/4.46 | (734) all_0_114_114 = e10
% 16.72/4.46 |
% 16.72/4.46 | Equations (734) can reduce 737 to:
% 16.72/4.46 | (420) $false
% 16.72/4.46 |
% 16.72/4.46 |-The branch is then unsatisfiable
% 16.72/4.46 |-Branch two:
% 16.72/4.46 | (741) ~ (all_0_116_116 = e10)
% 16.72/4.46 | (748) all_0_117_117 = e10 | all_0_118_118 = e10
% 16.72/4.46 |
% 16.72/4.46 +-Applying beta-rule and splitting (748), into two cases.
% 16.72/4.46 |-Branch one:
% 16.72/4.46 | (935) all_0_117_117 = e10
% 16.72/4.46 |
% 16.72/4.46 | Equations (935) can reduce 939 to:
% 16.72/4.46 | (420) $false
% 16.72/4.46 |
% 16.72/4.46 |-The branch is then unsatisfiable
% 16.72/4.46 |-Branch two:
% 16.72/4.46 | (939) ~ (all_0_117_117 = e10)
% 16.72/4.46 | (764) all_0_118_118 = e10
% 16.72/4.46 |
% 16.72/4.46 | Equations (764) can reduce 819 to:
% 16.72/4.46 | (420) $false
% 16.72/4.46 |
% 16.72/4.46 |-The branch is then unsatisfiable
% 16.72/4.46 |-Branch two:
% 16.72/4.46 | (494) ~ (all_0_101_101 = e20)
% 16.72/4.46 | (1138) all_0_105_105 = e20 | all_0_109_109 = e20
% 16.72/4.46 |
% 16.72/4.46 +-Applying beta-rule and splitting (492), into two cases.
% 16.72/4.46 |-Branch one:
% 16.72/4.46 | (495) all_0_101_101 = e20
% 16.72/4.46 |
% 16.72/4.46 | Equations (495) can reduce 494 to:
% 16.72/4.46 | (420) $false
% 16.72/4.46 |
% 16.72/4.46 |-The branch is then unsatisfiable
% 16.72/4.46 |-Branch two:
% 16.72/4.46 | (494) ~ (all_0_101_101 = e20)
% 16.72/4.46 | (475) all_0_102_102 = e20
% 16.72/4.46 |
% 16.72/4.46 | Equations (475) can reduce 478 to:
% 16.72/4.46 | (420) $false
% 16.72/4.46 |
% 16.72/4.46 |-The branch is then unsatisfiable
% 16.72/4.46 |-Branch two:
% 16.72/4.46 | (530) ~ (all_0_104_104 = e20)
% 16.72/4.46 | (531) all_0_105_105 = e20 | all_0_106_106 = e20
% 16.72/4.46 |
% 16.72/4.46 +-Applying beta-rule and splitting (531), into two cases.
% 16.72/4.46 |-Branch one:
% 16.72/4.46 | (1139) all_0_105_105 = e20
% 16.72/4.46 |
% 16.72/4.46 | Equations (1139) can reduce 1142 to:
% 16.72/4.46 | (420) $false
% 16.72/4.46 |
% 16.72/4.46 |-The branch is then unsatisfiable
% 16.72/4.46 |-Branch two:
% 16.72/4.46 | (1142) ~ (all_0_105_105 = e20)
% 16.72/4.46 | (555) all_0_106_106 = e20
% 16.72/4.46 |
% 16.72/4.46 | Equations (555) can reduce 1109 to:
% 16.72/4.46 | (420) $false
% 16.72/4.46 |
% 16.72/4.46 |-The branch is then unsatisfiable
% 16.72/4.46 % SZS output end Proof for theBenchmark
% 16.72/4.46
% 16.72/4.46 3856ms
%------------------------------------------------------------------------------