TSTP Solution File: ALG128+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG128+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.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 8.00s 2.35s
% Output : Proof 21.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG128+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n019.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 : Thu Jun 9 06:58:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.57 ____ _
% 0.18/0.57 ___ / __ \_____(_)___ ________ __________
% 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.57
% 0.18/0.57 A Theorem Prover for First-Order Logic
% 0.18/0.57 (ePrincess v.1.0)
% 0.18/0.57
% 0.18/0.57 (c) Philipp Rümmer, 2009-2015
% 0.18/0.57 (c) Peter Backeman, 2014-2015
% 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57 Bug reports to peter@backeman.se
% 0.18/0.57
% 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57
% 0.18/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.18/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.85/1.22 Prover 0: Preprocessing ...
% 5.26/1.76 Prover 0: Constructing countermodel ...
% 8.00/2.35 Prover 0: proved (1728ms)
% 8.00/2.35
% 8.00/2.35 No countermodel exists, formula is valid
% 8.00/2.35 % SZS status Theorem for theBenchmark
% 8.00/2.35
% 8.00/2.35 Generating proof ... found it (size 5470)
% 18.16/4.68
% 18.16/4.68 % SZS output start Proof for theBenchmark
% 18.16/4.68 Assumed formulas after preprocessing and simplification:
% 18.16/4.69 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ? [v84] : ? [v85] : ? [v86] : ? [v87] : ? [v88] : ? [v89] : ? [v90] : ? [v91] : ? [v92] : ? [v93] : ? [v94] : ? [v95] : ? [v96] : ? [v97] : ? [v98] : ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ? [v111] : ? [v112] : ? [v113] : ? [v114] : ? [v115] : ? [v116] : ? [v117] : ? [v118] : ? [v119] : ? [v120] : ? [v121] : ? [v122] : ? [v123] : ( ~ (v25 = v24) & ~ (v25 = v23) & ~ (v25 = v22) & ~ (v25 = v21) & ~ (v25 = v19) & ~ (v25 = v16) & ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v18) & ~ (v24 = v15) & ~ (v24 = e21) & ~ (v23 = v22) & ~ (v23 = v14) & ~ (v23 = e23) & ~ (v23 = e20) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v13) & ~ (v21 = v20) & ~ (v21 = v19) & ~ (v21 = v16) & ~ (v21 = e23) & ~ (v21 = e21) & ~ (v20 = v17) & ~ (v20 = v13) & ~ (v20 = e23) & ~ (v20 = e21) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = e20) & ~ (v18 = v17) & ~ (v18 = v15) & ~ (v18 = e21) & ~ (v18 = e20) & ~ (v17 = v13) & ~ (v17 = e20) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = e21) & ~ (v14 = v13) & ~ (v14 = e23) & ~ (v14 = e20) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v9) & ~ (v12 = v8) & ~ (v12 = v6) & ~ (v12 = v3) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v5) & ~ (v11 = v2) & ~ (v11 = e11) & ~ (v10 = v9) & ~ (v10 = v1) & ~ (v10 = e13) & ~ (v10 = e10) & ~ (v9 = v7) & ~ (v9 = v4) & ~ (v9 = v0) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v3) & ~ (v8 = e13) & ~ (v8 = e11) & ~ (v7 = v4) & ~ (v7 = v0) & ~ (v7 = e13) & ~ (v7 = e11) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v3) & ~ (v6 = e10) & ~ (v5 = v4) & ~ (v5 = v2) & ~ (v5 = e11) & ~ (v5 = e10) & ~ (v4 = v0) & ~ (v4 = e10) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e11) & ~ (v1 = v0) & ~ (v1 = e13) & ~ (v1 = e10) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, e13) = v12 & op1(e13, e12) = v11 & op1(e13, e11) = v10 & op1(e13, e10) = v9 & op1(e12, e13) = v8 & op1(e12, e12) = e11 & op1(e12, e11) = e13 & op1(e12, e10) = v7 & op1(e11, e13) = v6 & op1(e11, e12) = v5 & op1(e11, e11) = e10 & op1(e11, e10) = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v12) = v56 & h1(v11) = v54 & h1(v10) = v52 & h1(v9) = v50 & h1(v8) = v48 & h1(v7) = v45 & h1(v6) = v43 & h1(v5) = v41 & h1(v4) = v38 & h1(v3) = v36 & h1(v2) = v34 & h1(v1) = v32 & h1(v0) = v30 & h1(e13) = v27 & h1(e12) = e20 & h1(e11) = v13 & h1(e10) = v26 & h2(v12) = v81 & h2(v11) = v79 & h2(v10) = v77 & h2(v9) = v75 & h2(v8) = v73 & h2(v7) = v71 & h2(v6) = v69 & h2(v5) = v68 & h2(v4) = v66 & h2(v3) = v64 & h2(v2) = v62 & h2(v1) = v60 & h2(v0) = v58 & h2(e13) = v17 & h2(e12) = e21 & h2(e11) = e20 & h2(e10) = v13 & h3(v12) = v95 & h3(v11) = v94 & h3(v10) = v93 & h3(v9) = v92 & h3(v8) = v91 & h3(v7) = v90 & h3(v6) = v89 & h3(v5) = v88 & h3(v4) = v87 & h3(v3) = v86 & h3(v2) = v85 & h3(v1) = v84 & h3(v0) = v83 & h3(e13) = e23 & h3(e12) = e22 & h3(e11) = e21 & h3(e10) = e20 & h4(v12) = v122 & h4(v11) = v120 & h4(v10) = v118 & h4(v9) = v116 & h4(v8) = v114 & h4(v7) = v111 & h4(v6) = v109 & h4(v5) = v107 & h4(v4) = v104 & h4(v3) = v102 & h4(v2) = v100 & h4(v1) = v98 & h4(v0) = v96 & h4(e13) = v29 & h4(e12) = e23 & h4(e11) = v25 & h4(e10) = v28 & op2(v29, v29) = v123 & op2(v29, v28) = v117 & op2(v29, v25) = v119 & op2(v29, e23) = v121 & op2(v28, v29) = v103 & op2(v28, v28) = v97 & op2(v28, v25) = v99 & op2(v28, e23) = v101 & op2(v27, v27) = v57 & op2(v27, v26) = v51 & op2(v27, v13) = v53 & op2(v27, e20) = v55 & op2(v26, v27) = v37 & op2(v26, v26) = v31 & op2(v26, v13) = v33 & op2(v26, e20) = v35 & op2(v25, v29) = v110 & op2(v25, v28) = v105 & op2(v25, v25) = v106 & op2(v25, v25) = v28 & op2(v25, e23) = v108 & op2(v17, v17) = v82 & op2(v17, v13) = v76 & op2(v17, e21) = v80 & op2(v17, e20) = v78 & op2(v13, v27) = v44 & op2(v13, v26) = v39 & op2(v13, v17) = v65 & op2(v13, v13) = v59 & op2(v13, v13) = v40 & op2(v13, v13) = v26 & op2(v13, e21) = v63 & op2(v13, e20) = v61 & op2(v13, e20) = v42 & op2(e23, v29) = v115 & op2(e23, v28) = v112 & op2(e23, v25) = v113 & op2(e23, v25) = v29 & op2(e23, e23) = v25 & op2(e23, e22) = v24 & op2(e23, e21) = v23 & op2(e23, e20) = v22 & op2(e22, e23) = v21 & op2(e22, e22) = e21 & op2(e22, e21) = e23 & op2(e22, e20) = v20 & op2(e21, v17) = v74 & op2(e21, v13) = v72 & op2(e21, e23) = v19 & op2(e21, e22) = v18 & op2(e21, e21) = e20 & op2(e21, e20) = v17 & op2(e20, v27) = v49 & op2(e20, v26) = v46 & op2(e20, v17) = v70 & op2(e20, v13) = v67 & op2(e20, v13) = v47 & op2(e20, v13) = v27 & op2(e20, e23) = v16 & op2(e20, e22) = v15 & op2(e20, e21) = v14 & op2(e20, e20) = v13 & ! [v124] : ! [v125] : ! [v126] : ! [v127] : (v125 = v124 | ~ (op1(v127, v126) = v125) | ~ (op1(v127, v126) = v124)) & ! [v124] : ! [v125] : ! [v126] : ! [v127] : (v125 = v124 | ~ (op2(v127, v126) = v125) | ~ (op2(v127, v126) = v124)) & ! [v124] : ! [v125] : ! [v126] : (v125 = v124 | ~ (h1(v126) = v125) | ~ (h1(v126) = v124)) & ! [v124] : ! [v125] : ! [v126] : (v125 = v124 | ~ (h2(v126) = v125) | ~ (h2(v126) = v124)) & ! [v124] : ! [v125] : ! [v126] : (v125 = v124 | ~ (h3(v126) = v125) | ~ (h3(v126) = v124)) & ! [v124] : ! [v125] : ! [v126] : (v125 = v124 | ~ (h4(v126) = v125) | ~ (h4(v126) = v124)) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 = v29) | ~ (v112 = v111) | ~ (v110 = v109) | ~ (v108 = v107) | ~ (v106 = v28) | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 = v98) | ~ (v97 = v96) | ( ~ (v29 = e22) & ~ (v28 = e22) & ~ (v25 = e22)) | ( ~ (v29 = e21) & ~ (v28 = e21) & ~ (v25 = e21)) | ( ~ (v29 = e20) & ~ (v28 = e20) & ~ (v25 = e20))) & ( ~ (v95 = v25) | ~ (v94 = v24) | ~ (v93 = v23) | ~ (v92 = v22) | ~ (v91 = v21) | ~ (v90 = v20) | ~ (v89 = v19) | ~ (v88 = v18) | ~ (v87 = v17) | ~ (v86 = v16) | ~ (v85 = v15) | ~ (v84 = v14) | ~ (v83 = v13)) & ( ~ (v82 = v81) | ~ (v80 = v79) | ~ (v78 = v77) | ~ (v76 = v75) | ~ (v74 = v73) | ~ (v72 = v71) | ~ (v70 = v69) | ~ (v68 = v14) | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v62) | ~ (v61 = v60) | ~ (v59 = v58) | ( ~ (v17 = e23) & ~ (v13 = e23)) | ( ~ (v17 = e22) & ~ (v13 = e22))) & ( ~ (v57 = v56) | ~ (v55 = v54) | ~ (v53 = v52) | ~ (v51 = v50) | ~ (v49 = v48) | ~ (v47 = v27) | ~ (v46 = v45) | ~ (v44 = v43) | ~ (v42 = v41) | ~ (v40 = v26) | ~ (v39 = v38) | ~ (v37 = v36) | ~ (v35 = v34) | ~ (v33 = v32) | ~ (v31 = v30) | ( ~ (v27 = e23) & ~ (v26 = e23) & ~ (v13 = e23)) | ( ~ (v27 = e22) & ~ (v26 = e22) & ~ (v13 = e22)) | ( ~ (v27 = e21) & ~ (v26 = e21) & ~ (v13 = e21))) & (v25 = e23 | v25 = e22 | v25 = e21 | v25 = e20) & (v25 = e23 | v24 = e23 | v22 = e23) & (v25 = e23 | v19 = e23 | v16 = e23) & (v25 = e22 | v24 = e22 | v23 = e22 | v22 = e22) & (v25 = e22 | v21 = e22 | v19 = e22 | v16 = e22) & (v25 = e21 | v23 = e21 | v22 = e21) & (v25 = e21 | v19 = e21 | v16 = e21) & (v25 = e20 | v24 = e20 | v22 = e20) & (v25 = e20 | v21 = e20 | v16 = e20) & (v24 = e23 | v24 = e22 | v24 = e20) & (v24 = e23 | v18 = e23 | v15 = e23) & (v24 = e22 | v18 = e22 | v15 = e22) & (v24 = e20 | v15 = e20) & (v23 = e22 | v23 = e21) & (v23 = e22 | v14 = e22) & (v23 = e21 | v14 = e21) & (v22 = e23 | v22 = e22 | v22 = e21 | v22 = e20) & (v22 = e23 | v17 = e23 | v13 = e23) & (v22 = e22 | v20 = e22 | v17 = e22 | v13 = e22) & (v22 = e21 | v17 = e21 | v13 = e21) & (v22 = e20 | v20 = e20 | v13 = e20) & (v21 = e22 | v21 = e20) & (v21 = e22 | v20 = e22) & (v21 = e20 | v20 = e20) & (v20 = e22 | v20 = e20) & (v19 = e23 | v19 = e22 | v19 = e21) & (v19 = e23 | v18 = e23 | v17 = e23) & (v19 = e22 | v18 = e22 | v17 = e22) & (v19 = e21 | v17 = e21) & (v18 = e23 | v18 = e22) & (v17 = e23 | v17 = e22 | v17 = e21) & (v16 = e23 | v16 = e22 | v16 = e21 | v16 = e20) & (v16 = e23 | v15 = e23 | v13 = e23) & (v16 = e22 | v15 = e22 | v14 = e22 | v13 = e22) & (v16 = e21 | v14 = e21 | v13 = e21) & (v16 = e20 | v15 = e20 | v13 = e20) & (v15 = e23 | v15 = e22 | v15 = e20) & (v14 = e22 | v14 = e21) & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v12 = e13 | v11 = e13 | v9 = e13) & (v12 = e13 | v6 = e13 | v3 = e13) & (v12 = e12 | v11 = e12 | v10 = e12 | v9 = e12) & (v12 = e12 | v8 = e12 | v6 = e12 | v3 = e12) & (v12 = e11 | v10 = e11 | v9 = e11) & (v12 = e11 | v6 = e11 | v3 = e11) & (v12 = e10 | v11 = e10 | v9 = e10) & (v12 = e10 | v8 = e10 | v3 = e10) & (v11 = e13 | v11 = e12 | v11 = e10) & (v11 = e13 | v5 = e13 | v2 = e13) & (v11 = e12 | v5 = e12 | v2 = e12) & (v11 = e10 | v2 = e10) & (v10 = e12 | v10 = e11) & (v10 = e12 | v1 = e12) & (v10 = e11 | v1 = e11) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v9 = e13 | v4 = e13 | v0 = e13) & (v9 = e12 | v7 = e12 | v4 = e12 | v0 = e12) & (v9 = e11 | v4 = e11 | v0 = e11) & (v9 = e10 | v7 = e10 | v0 = e10) & (v8 = e12 | v8 = e10) & (v8 = e12 | v7 = e12) & (v8 = e10 | v7 = e10) & (v7 = e12 | v7 = e10) & (v6 = e13 | v6 = e12 | v6 = e11) & (v6 = e13 | v5 = e13 | v4 = e13) & (v6 = e12 | v5 = e12 | v4 = e12) & (v6 = e11 | v4 = e11) & (v5 = e13 | v5 = e12) & (v4 = e13 | v4 = e12 | v4 = e11) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v3 = e13 | v2 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v1 = e11 | v0 = e11) & (v3 = e10 | v2 = e10 | v0 = e10) & (v2 = e13 | v2 = e12 | v2 = e10) & (v1 = e12 | v1 = e11) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10) & ((v25 = e23 & ( ~ (v13 = e23) | v16 = e20)) | (v25 = e22 & v24 = e23 & ( ~ (v13 = e22) | v15 = e20)) | (v25 = e20 & v22 = e23 & v17 = e21) | (v17 = e21 & v13 = e20 & ( ~ (v25 = e20) | v22 = e23)) | (v17 = e21 & ( ~ (v25 = e20) | v22 = e23)) | (v16 = e20 & v13 = e23) | (v15 = e20 & v13 = e22 & ( ~ (v25 = e22) | v24 = e23))) & ((v24 = e22 & v21 = e22 & ~ (v25 = e23) & ( ~ (v25 = e20) | ~ (v22 = e23))) | (v23 = e21 & v19 = e21 & ~ (v25 = e23) & ( ~ (v25 = e22) | ~ (v24 = e23)) & ( ~ (v25 = e20) | ~ (v22 = e23))) | (v22 = e23 & v16 = e23 & ~ (v13 = e20) & ( ~ (v15 = e20) | ~ (v13 = e22))) | (v22 = e20 & v16 = e20 & ~ (v25 = e23) & ( ~ (v25 = e22) | ~ (v24 = e23))) | (v20 = e22 & v15 = e22 & ~ (v13 = e20) & ( ~ (v16 = e20) | ~ (v13 = e23))) | (v20 = e20 & v15 = e20) | (v17 = e21 & v14 = e21 & ~ (v13 = e20) & ( ~ (v16 = e20) | ~ (v13 = e23)) & ( ~ (v15 = e20) | ~ (v13 = e22)))) & ((v12 = e13 & ( ~ (v0 = e13) | v3 = e10)) | (v12 = e12 & v11 = e13 & ( ~ (v0 = e12) | v2 = e10)) | (v12 = e10 & v9 = e13 & v4 = e11) | (v4 = e11 & v0 = e10 & ( ~ (v12 = e10) | v9 = e13)) | (v4 = e11 & ( ~ (v12 = e10) | v9 = e13)) | (v3 = e10 & v0 = e13) | (v2 = e10 & v0 = e12 & ( ~ (v12 = e12) | v11 = e13))) & ((v11 = e12 & v8 = e12 & ~ (v12 = e13) & ( ~ (v12 = e10) | ~ (v9 = e13))) | (v10 = e11 & v6 = e11 & ~ (v12 = e13) & ( ~ (v12 = e12) | ~ (v11 = e13)) & ( ~ (v12 = e10) | ~ (v9 = e13))) | (v9 = e13 & v3 = e13 & ~ (v0 = e10) & ( ~ (v2 = e10) | ~ (v0 = e12))) | (v9 = e10 & v3 = e10 & ~ (v12 = e13) & ( ~ (v12 = e12) | ~ (v11 = e13))) | (v7 = e12 & v2 = e12 & ~ (v0 = e10) & ( ~ (v3 = e10) | ~ (v0 = e13))) | (v7 = e10 & v2 = e10) | (v4 = e11 & v1 = e11 & ~ (v0 = e10) & ( ~ (v3 = e10) | ~ (v0 = e13)) & ( ~ (v2 = e10) | ~ (v0 = e12)))))
% 18.16/4.75 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87, all_0_88_88, all_0_89_89, all_0_90_90, all_0_91_91, all_0_92_92, all_0_93_93, all_0_94_94, all_0_95_95, all_0_96_96, all_0_97_97, all_0_98_98, all_0_99_99, all_0_100_100, all_0_101_101, all_0_102_102, all_0_103_103, all_0_104_104, all_0_105_105, all_0_106_106, all_0_107_107, all_0_108_108, all_0_109_109, all_0_110_110, all_0_111_111, all_0_112_112, all_0_113_113, all_0_114_114, all_0_115_115, all_0_116_116, all_0_117_117, all_0_118_118, all_0_119_119, all_0_120_120, all_0_121_121, all_0_122_122, all_0_123_123 yields:
% 18.16/4.75 | (1) ~ (all_0_98_98 = all_0_99_99) & ~ (all_0_98_98 = all_0_100_100) & ~ (all_0_98_98 = all_0_101_101) & ~ (all_0_98_98 = all_0_102_102) & ~ (all_0_98_98 = all_0_104_104) & ~ (all_0_98_98 = all_0_107_107) & ~ (all_0_99_99 = all_0_100_100) & ~ (all_0_99_99 = all_0_101_101) & ~ (all_0_99_99 = all_0_105_105) & ~ (all_0_99_99 = all_0_108_108) & ~ (all_0_99_99 = e21) & ~ (all_0_100_100 = all_0_101_101) & ~ (all_0_100_100 = all_0_109_109) & ~ (all_0_100_100 = e23) & ~ (all_0_100_100 = e20) & ~ (all_0_101_101 = all_0_103_103) & ~ (all_0_101_101 = all_0_106_106) & ~ (all_0_101_101 = all_0_110_110) & ~ (all_0_102_102 = all_0_103_103) & ~ (all_0_102_102 = all_0_104_104) & ~ (all_0_102_102 = all_0_107_107) & ~ (all_0_102_102 = e23) & ~ (all_0_102_102 = e21) & ~ (all_0_103_103 = all_0_106_106) & ~ (all_0_103_103 = all_0_110_110) & ~ (all_0_103_103 = e23) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = all_0_105_105) & ~ (all_0_104_104 = all_0_106_106) & ~ (all_0_104_104 = all_0_107_107) & ~ (all_0_104_104 = e20) & ~ (all_0_105_105 = all_0_106_106) & ~ (all_0_105_105 = all_0_108_108) & ~ (all_0_105_105 = e21) & ~ (all_0_105_105 = e20) & ~ (all_0_106_106 = all_0_110_110) & ~ (all_0_106_106 = e20) & ~ (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_108_108 = all_0_109_109) & ~ (all_0_108_108 = all_0_110_110) & ~ (all_0_108_108 = e21) & ~ (all_0_109_109 = all_0_110_110) & ~ (all_0_109_109 = e23) & ~ (all_0_109_109 = e20) & ~ (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_117_117) & ~ (all_0_111_111 = all_0_120_120) & ~ (all_0_112_112 = all_0_113_113) & ~ (all_0_112_112 = all_0_114_114) & ~ (all_0_112_112 = all_0_118_118) & ~ (all_0_112_112 = all_0_121_121) & ~ (all_0_112_112 = e11) & ~ (all_0_113_113 = all_0_114_114) & ~ (all_0_113_113 = all_0_122_122) & ~ (all_0_113_113 = e13) & ~ (all_0_113_113 = e10) & ~ (all_0_114_114 = all_0_116_116) & ~ (all_0_114_114 = all_0_119_119) & ~ (all_0_114_114 = all_0_123_123) & ~ (all_0_115_115 = all_0_116_116) & ~ (all_0_115_115 = all_0_117_117) & ~ (all_0_115_115 = all_0_120_120) & ~ (all_0_115_115 = e13) & ~ (all_0_115_115 = e11) & ~ (all_0_116_116 = all_0_119_119) & ~ (all_0_116_116 = all_0_123_123) & ~ (all_0_116_116 = e13) & ~ (all_0_116_116 = e11) & ~ (all_0_117_117 = all_0_118_118) & ~ (all_0_117_117 = all_0_119_119) & ~ (all_0_117_117 = all_0_120_120) & ~ (all_0_117_117 = e10) & ~ (all_0_118_118 = all_0_119_119) & ~ (all_0_118_118 = all_0_121_121) & ~ (all_0_118_118 = e11) & ~ (all_0_118_118 = e10) & ~ (all_0_119_119 = all_0_123_123) & ~ (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 = all_0_123_123) & ~ (all_0_121_121 = all_0_122_122) & ~ (all_0_121_121 = all_0_123_123) & ~ (all_0_121_121 = e11) & ~ (all_0_122_122 = all_0_123_123) & ~ (all_0_122_122 = e13) & ~ (all_0_122_122 = e10) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, e13) = 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) = all_0_115_115 & op1(e12, e12) = e11 & op1(e12, e11) = e13 & op1(e12, e10) = all_0_116_116 & op1(e11, e13) = all_0_117_117 & op1(e11, e12) = all_0_118_118 & op1(e11, e11) = e10 & op1(e11, e10) = all_0_119_119 & op1(e10, e13) = all_0_120_120 & op1(e10, e12) = all_0_121_121 & op1(e10, e11) = all_0_122_122 & op1(e10, e10) = all_0_123_123 & h1(all_0_111_111) = all_0_67_67 & h1(all_0_112_112) = all_0_69_69 & h1(all_0_113_113) = all_0_71_71 & h1(all_0_114_114) = all_0_73_73 & h1(all_0_115_115) = all_0_75_75 & h1(all_0_116_116) = all_0_78_78 & h1(all_0_117_117) = all_0_80_80 & h1(all_0_118_118) = all_0_82_82 & h1(all_0_119_119) = all_0_85_85 & h1(all_0_120_120) = all_0_87_87 & h1(all_0_121_121) = all_0_89_89 & h1(all_0_122_122) = all_0_91_91 & h1(all_0_123_123) = all_0_93_93 & h1(e13) = all_0_96_96 & h1(e12) = e20 & h1(e11) = all_0_110_110 & h1(e10) = all_0_97_97 & h2(all_0_111_111) = all_0_42_42 & h2(all_0_112_112) = all_0_44_44 & h2(all_0_113_113) = all_0_46_46 & h2(all_0_114_114) = all_0_48_48 & h2(all_0_115_115) = all_0_50_50 & h2(all_0_116_116) = all_0_52_52 & h2(all_0_117_117) = all_0_54_54 & h2(all_0_118_118) = all_0_55_55 & h2(all_0_119_119) = all_0_57_57 & h2(all_0_120_120) = all_0_59_59 & h2(all_0_121_121) = all_0_61_61 & h2(all_0_122_122) = all_0_63_63 & h2(all_0_123_123) = all_0_65_65 & h2(e13) = all_0_106_106 & h2(e12) = e21 & h2(e11) = e20 & h2(e10) = all_0_110_110 & h3(all_0_111_111) = all_0_28_28 & h3(all_0_112_112) = all_0_29_29 & h3(all_0_113_113) = all_0_30_30 & h3(all_0_114_114) = all_0_31_31 & h3(all_0_115_115) = all_0_32_32 & h3(all_0_116_116) = all_0_33_33 & h3(all_0_117_117) = all_0_34_34 & h3(all_0_118_118) = all_0_35_35 & h3(all_0_119_119) = all_0_36_36 & h3(all_0_120_120) = all_0_37_37 & h3(all_0_121_121) = all_0_38_38 & h3(all_0_122_122) = all_0_39_39 & h3(all_0_123_123) = all_0_40_40 & 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_9_9 & h4(all_0_116_116) = all_0_12_12 & h4(all_0_117_117) = all_0_14_14 & h4(all_0_118_118) = all_0_16_16 & h4(all_0_119_119) = all_0_19_19 & h4(all_0_120_120) = all_0_21_21 & h4(all_0_121_121) = all_0_23_23 & h4(all_0_122_122) = all_0_25_25 & h4(all_0_123_123) = all_0_27_27 & h4(e13) = all_0_94_94 & h4(e12) = e23 & h4(e11) = all_0_98_98 & h4(e10) = all_0_95_95 & op2(all_0_94_94, all_0_94_94) = all_0_0_0 & op2(all_0_94_94, all_0_95_95) = all_0_6_6 & op2(all_0_94_94, all_0_98_98) = all_0_4_4 & op2(all_0_94_94, e23) = all_0_2_2 & op2(all_0_95_95, all_0_94_94) = all_0_20_20 & op2(all_0_95_95, all_0_95_95) = all_0_26_26 & op2(all_0_95_95, all_0_98_98) = all_0_24_24 & op2(all_0_95_95, e23) = all_0_22_22 & op2(all_0_96_96, all_0_96_96) = all_0_66_66 & op2(all_0_96_96, all_0_97_97) = all_0_72_72 & op2(all_0_96_96, all_0_110_110) = all_0_70_70 & op2(all_0_96_96, e20) = all_0_68_68 & op2(all_0_97_97, all_0_96_96) = all_0_86_86 & op2(all_0_97_97, all_0_97_97) = all_0_92_92 & op2(all_0_97_97, all_0_110_110) = all_0_90_90 & op2(all_0_97_97, e20) = all_0_88_88 & op2(all_0_98_98, all_0_94_94) = all_0_13_13 & op2(all_0_98_98, all_0_95_95) = all_0_18_18 & op2(all_0_98_98, all_0_98_98) = all_0_17_17 & op2(all_0_98_98, all_0_98_98) = all_0_95_95 & op2(all_0_98_98, e23) = all_0_15_15 & op2(all_0_106_106, all_0_106_106) = all_0_41_41 & op2(all_0_106_106, all_0_110_110) = all_0_47_47 & op2(all_0_106_106, e21) = all_0_43_43 & op2(all_0_106_106, e20) = all_0_45_45 & op2(all_0_110_110, all_0_96_96) = all_0_79_79 & op2(all_0_110_110, all_0_97_97) = all_0_84_84 & op2(all_0_110_110, all_0_106_106) = all_0_58_58 & op2(all_0_110_110, all_0_110_110) = all_0_64_64 & op2(all_0_110_110, all_0_110_110) = all_0_83_83 & op2(all_0_110_110, all_0_110_110) = all_0_97_97 & op2(all_0_110_110, e21) = all_0_60_60 & op2(all_0_110_110, e20) = all_0_62_62 & op2(all_0_110_110, e20) = all_0_81_81 & op2(e23, all_0_94_94) = all_0_8_8 & op2(e23, all_0_95_95) = all_0_11_11 & op2(e23, all_0_98_98) = all_0_10_10 & op2(e23, all_0_98_98) = all_0_94_94 & op2(e23, e23) = all_0_98_98 & op2(e23, e22) = all_0_99_99 & op2(e23, e21) = all_0_100_100 & op2(e23, e20) = all_0_101_101 & op2(e22, e23) = all_0_102_102 & op2(e22, e22) = e21 & op2(e22, e21) = e23 & op2(e22, e20) = all_0_103_103 & op2(e21, all_0_106_106) = all_0_49_49 & op2(e21, all_0_110_110) = all_0_51_51 & op2(e21, e23) = all_0_104_104 & op2(e21, e22) = all_0_105_105 & op2(e21, e21) = e20 & op2(e21, e20) = all_0_106_106 & op2(e20, all_0_96_96) = all_0_74_74 & op2(e20, all_0_97_97) = all_0_77_77 & op2(e20, all_0_106_106) = all_0_53_53 & op2(e20, all_0_110_110) = all_0_56_56 & op2(e20, all_0_110_110) = all_0_76_76 & op2(e20, all_0_110_110) = all_0_96_96 & op2(e20, e23) = all_0_107_107 & op2(e20, e22) = all_0_108_108 & op2(e20, e21) = all_0_109_109 & op2(e20, e20) = all_0_110_110 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))) & ( ~ (all_0_28_28 = all_0_98_98) | ~ (all_0_29_29 = all_0_99_99) | ~ (all_0_30_30 = all_0_100_100) | ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)) & ( ~ (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_109_109) | ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))) & ( ~ (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_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))) & (all_0_98_98 = e23 | all_0_98_98 = e22 | all_0_98_98 = e21 | all_0_98_98 = e20) & (all_0_98_98 = e23 | all_0_99_99 = e23 | all_0_101_101 = e23) & (all_0_98_98 = e23 | all_0_104_104 = e23 | all_0_107_107 = e23) & (all_0_98_98 = e22 | all_0_99_99 = e22 | all_0_100_100 = e22 | all_0_101_101 = e22) & (all_0_98_98 = e22 | all_0_102_102 = e22 | all_0_104_104 = e22 | all_0_107_107 = e22) & (all_0_98_98 = e21 | all_0_100_100 = e21 | all_0_101_101 = e21) & (all_0_98_98 = e21 | all_0_104_104 = e21 | all_0_107_107 = e21) & (all_0_98_98 = e20 | all_0_99_99 = e20 | all_0_101_101 = e20) & (all_0_98_98 = e20 | all_0_102_102 = e20 | all_0_107_107 = e20) & (all_0_99_99 = e23 | all_0_99_99 = e22 | all_0_99_99 = e20) & (all_0_99_99 = e23 | all_0_105_105 = e23 | all_0_108_108 = e23) & (all_0_99_99 = e22 | all_0_105_105 = e22 | all_0_108_108 = e22) & (all_0_99_99 = e20 | all_0_108_108 = e20) & (all_0_100_100 = e22 | all_0_100_100 = e21) & (all_0_100_100 = e22 | all_0_109_109 = e22) & (all_0_100_100 = e21 | all_0_109_109 = e21) & (all_0_101_101 = e23 | all_0_101_101 = e22 | all_0_101_101 = e21 | all_0_101_101 = e20) & (all_0_101_101 = e23 | all_0_106_106 = e23 | all_0_110_110 = e23) & (all_0_101_101 = e22 | all_0_103_103 = e22 | all_0_106_106 = e22 | all_0_110_110 = e22) & (all_0_101_101 = e21 | all_0_106_106 = e21 | all_0_110_110 = e21) & (all_0_101_101 = e20 | all_0_103_103 = e20 | all_0_110_110 = e20) & (all_0_102_102 = e22 | all_0_102_102 = e20) & (all_0_102_102 = e22 | all_0_103_103 = e22) & (all_0_102_102 = e20 | all_0_103_103 = e20) & (all_0_103_103 = e22 | all_0_103_103 = e20) & (all_0_104_104 = e23 | all_0_104_104 = e22 | all_0_104_104 = e21) & (all_0_104_104 = e23 | all_0_105_105 = e23 | all_0_106_106 = e23) & (all_0_104_104 = e22 | all_0_105_105 = e22 | all_0_106_106 = e22) & (all_0_104_104 = e21 | all_0_106_106 = e21) & (all_0_105_105 = e23 | all_0_105_105 = e22) & (all_0_106_106 = e23 | all_0_106_106 = e22 | all_0_106_106 = e21) & (all_0_107_107 = e23 | all_0_107_107 = e22 | all_0_107_107 = e21 | all_0_107_107 = e20) & (all_0_107_107 = e23 | all_0_108_108 = e23 | all_0_110_110 = e23) & (all_0_107_107 = e22 | all_0_108_108 = e22 | all_0_109_109 = e22 | all_0_110_110 = e22) & (all_0_107_107 = e21 | all_0_109_109 = e21 | all_0_110_110 = e21) & (all_0_107_107 = e20 | all_0_108_108 = e20 | all_0_110_110 = e20) & (all_0_108_108 = e23 | all_0_108_108 = e22 | all_0_108_108 = e20) & (all_0_109_109 = e22 | all_0_109_109 = e21) & (all_0_110_110 = e23 | all_0_110_110 = e22 | all_0_110_110 = e21 | all_0_110_110 = e20) & (all_0_111_111 = e13 | all_0_111_111 = e12 | all_0_111_111 = e11 | all_0_111_111 = e10) & (all_0_111_111 = e13 | all_0_112_112 = e13 | all_0_114_114 = e13) & (all_0_111_111 = e13 | all_0_117_117 = e13 | all_0_120_120 = e13) & (all_0_111_111 = e12 | all_0_112_112 = e12 | all_0_113_113 = e12 | all_0_114_114 = e12) & (all_0_111_111 = e12 | all_0_115_115 = e12 | all_0_117_117 = e12 | all_0_120_120 = e12) & (all_0_111_111 = e11 | all_0_113_113 = e11 | all_0_114_114 = e11) & (all_0_111_111 = e11 | all_0_117_117 = e11 | all_0_120_120 = e11) & (all_0_111_111 = e10 | all_0_112_112 = e10 | all_0_114_114 = e10) & (all_0_111_111 = e10 | all_0_115_115 = e10 | all_0_120_120 = e10) & (all_0_112_112 = e13 | all_0_112_112 = e12 | all_0_112_112 = e10) & (all_0_112_112 = e13 | all_0_118_118 = e13 | all_0_121_121 = e13) & (all_0_112_112 = e12 | all_0_118_118 = e12 | all_0_121_121 = e12) & (all_0_112_112 = e10 | all_0_121_121 = e10) & (all_0_113_113 = e12 | all_0_113_113 = e11) & (all_0_113_113 = e12 | all_0_122_122 = e12) & (all_0_113_113 = e11 | all_0_122_122 = e11) & (all_0_114_114 = e13 | all_0_114_114 = e12 | all_0_114_114 = e11 | all_0_114_114 = e10) & (all_0_114_114 = e13 | all_0_119_119 = e13 | all_0_123_123 = e13) & (all_0_114_114 = e12 | all_0_116_116 = e12 | all_0_119_119 = e12 | all_0_123_123 = e12) & (all_0_114_114 = e11 | all_0_119_119 = e11 | all_0_123_123 = e11) & (all_0_114_114 = e10 | all_0_116_116 = e10 | all_0_123_123 = e10) & (all_0_115_115 = e12 | all_0_115_115 = e10) & (all_0_115_115 = e12 | all_0_116_116 = e12) & (all_0_115_115 = e10 | all_0_116_116 = e10) & (all_0_116_116 = e12 | all_0_116_116 = e10) & (all_0_117_117 = e13 | all_0_117_117 = e12 | all_0_117_117 = e11) & (all_0_117_117 = e13 | all_0_118_118 = e13 | all_0_119_119 = e13) & (all_0_117_117 = e12 | all_0_118_118 = e12 | all_0_119_119 = e12) & (all_0_117_117 = e11 | all_0_119_119 = e11) & (all_0_118_118 = e13 | all_0_118_118 = e12) & (all_0_119_119 = e13 | all_0_119_119 = e12 | all_0_119_119 = e11) & (all_0_120_120 = e13 | all_0_120_120 = e12 | all_0_120_120 = e11 | all_0_120_120 = e10) & (all_0_120_120 = e13 | all_0_121_121 = e13 | all_0_123_123 = e13) & (all_0_120_120 = e12 | all_0_121_121 = e12 | all_0_122_122 = e12 | all_0_123_123 = e12) & (all_0_120_120 = e11 | all_0_122_122 = e11 | all_0_123_123 = e11) & (all_0_120_120 = e10 | all_0_121_121 = e10 | all_0_123_123 = e10) & (all_0_121_121 = e13 | all_0_121_121 = e12 | all_0_121_121 = e10) & (all_0_122_122 = e12 | all_0_122_122 = e11) & (all_0_123_123 = e13 | all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10) & ((all_0_98_98 = e23 & ( ~ (all_0_110_110 = e23) | all_0_107_107 = e20)) | (all_0_98_98 = e22 & all_0_99_99 = e23 & ( ~ (all_0_110_110 = e22) | all_0_108_108 = e20)) | (all_0_98_98 = e20 & all_0_101_101 = e23 & all_0_106_106 = e21) | (all_0_106_106 = e21 & all_0_110_110 = e20 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23)) | (all_0_106_106 = e21 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23)) | (all_0_107_107 = e20 & all_0_110_110 = e23) | (all_0_108_108 = e20 & all_0_110_110 = e22 & ( ~ (all_0_98_98 = e22) | all_0_99_99 = e23))) & ((all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))) | (all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23))) | (all_0_103_103 = e20 & all_0_108_108 = e20) | (all_0_106_106 = e21 & all_0_109_109 = e21 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))) & ((all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13) | (all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13))) & ((all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10) | (all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))))
% 18.16/4.77 |
% 18.16/4.77 | Applying alpha-rule on (1) yields:
% 18.16/4.77 | (2) op2(e23, e20) = all_0_101_101
% 18.16/4.77 | (3) h1(all_0_120_120) = all_0_87_87
% 18.16/4.77 | (4) op1(e10, e12) = all_0_121_121
% 18.16/4.77 | (5) ~ (all_0_120_120 = all_0_121_121)
% 18.16/4.77 | (6) all_0_111_111 = e13 | all_0_117_117 = e13 | all_0_120_120 = e13
% 18.16/4.77 | (7) ~ (all_0_113_113 = e13)
% 18.16/4.77 | (8) op2(all_0_110_110, all_0_110_110) = all_0_64_64
% 18.16/4.77 | (9) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13) | (all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13))
% 18.16/4.77 | (10) ~ (all_0_104_104 = all_0_107_107)
% 18.16/4.77 | (11) op2(e20, e21) = all_0_109_109
% 18.16/4.77 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 18.16/4.77 | (13) h3(all_0_113_113) = all_0_30_30
% 18.16/4.77 | (14) ~ (all_0_118_118 = all_0_121_121)
% 18.16/4.77 | (15) op2(e21, e20) = all_0_106_106
% 18.16/4.77 | (16) ~ (all_0_120_120 = all_0_122_122)
% 18.16/4.77 | (17) h4(all_0_112_112) = all_0_3_3
% 18.16/4.77 | (18) op2(e23, all_0_98_98) = all_0_10_10
% 18.16/4.77 | (19) op2(e21, all_0_110_110) = all_0_51_51
% 18.16/4.77 | (20) op2(all_0_98_98, all_0_98_98) = all_0_17_17
% 18.16/4.77 | (21) ~ (all_0_106_106 = all_0_110_110)
% 18.16/4.77 | (22) op2(all_0_97_97, all_0_110_110) = all_0_90_90
% 18.16/4.77 | (23) ~ (all_0_121_121 = e11)
% 18.16/4.77 | (24) ~ (all_0_111_111 = all_0_112_112)
% 18.16/4.77 | (25) all_0_102_102 = e20 | all_0_103_103 = e20
% 18.16/4.77 | (26) op2(all_0_110_110, all_0_97_97) = all_0_84_84
% 18.16/4.77 | (27) h3(all_0_122_122) = all_0_39_39
% 18.16/4.77 | (28) ~ (all_0_112_112 = e11)
% 18.16/4.77 | (29) h3(all_0_121_121) = all_0_38_38
% 18.16/4.77 | (30) all_0_107_107 = e21 | all_0_109_109 = e21 | all_0_110_110 = e21
% 18.16/4.77 | (31) ~ (e23 = e22)
% 18.16/4.77 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 18.16/4.77 | (33) op2(e22, e23) = all_0_102_102
% 18.16/4.77 | (34) all_0_103_103 = e22 | all_0_103_103 = e20
% 18.16/4.77 | (35) ~ (all_0_120_120 = all_0_123_123)
% 18.16/4.77 | (36) all_0_100_100 = e22 | all_0_109_109 = e22
% 18.16/4.77 | (37) h1(e11) = all_0_110_110
% 18.16/4.77 | (38) all_0_98_98 = e20 | all_0_99_99 = e20 | all_0_101_101 = e20
% 18.16/4.77 | (39) ~ (e21 = e10)
% 18.16/4.77 | (40) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))) | (all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23))) | (all_0_103_103 = e20 & all_0_108_108 = e20) | (all_0_106_106 = e21 & all_0_109_109 = e21 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 18.16/4.78 | (41) op2(all_0_110_110, all_0_96_96) = all_0_79_79
% 18.16/4.78 | (42) all_0_98_98 = e23 | all_0_98_98 = e22 | all_0_98_98 = e21 | all_0_98_98 = e20
% 18.16/4.78 | (43) all_0_123_123 = e13 | all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 18.16/4.78 | (44) op1(e12, e11) = e13
% 18.16/4.78 | (45) all_0_120_120 = e11 | all_0_122_122 = e11 | all_0_123_123 = e11
% 18.16/4.78 | (46) ~ (all_0_112_112 = all_0_118_118)
% 18.16/4.78 | (47) ~ (e22 = e11)
% 18.16/4.78 | (48) h2(all_0_119_119) = all_0_57_57
% 18.16/4.78 | (49) op2(e20, all_0_110_110) = all_0_56_56
% 18.16/4.78 | (50) all_0_111_111 = e10 | all_0_112_112 = e10 | all_0_114_114 = e10
% 18.16/4.78 | (51) op2(e20, e20) = all_0_110_110
% 18.16/4.78 | (52) all_0_114_114 = e12 | all_0_116_116 = e12 | all_0_119_119 = e12 | all_0_123_123 = e12
% 18.16/4.78 | (53) all_0_99_99 = e22 | all_0_105_105 = e22 | all_0_108_108 = e22
% 18.16/4.78 | (54) ~ (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_109_109) | ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 18.16/4.78 | (55) ~ (all_0_108_108 = all_0_110_110)
% 18.16/4.78 | (56) op1(e13, e12) = all_0_112_112
% 18.16/4.78 | (57) all_0_104_104 = e23 | all_0_104_104 = e22 | all_0_104_104 = e21
% 18.16/4.78 | (58) ~ (all_0_102_102 = e23)
% 18.16/4.78 | (59) ~ (all_0_99_99 = all_0_101_101)
% 18.16/4.78 | (60) h2(all_0_116_116) = all_0_52_52
% 18.16/4.78 | (61) op1(e12, e13) = all_0_115_115
% 18.16/4.78 | (62) all_0_121_121 = e13 | all_0_121_121 = e12 | all_0_121_121 = e10
% 18.16/4.78 | (63) ~ (all_0_116_116 = e13)
% 18.16/4.78 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 18.16/4.78 | (65) ~ (all_0_111_111 = all_0_114_114)
% 18.16/4.78 | (66) ~ (all_0_105_105 = all_0_106_106)
% 18.16/4.78 | (67) h3(all_0_118_118) = all_0_35_35
% 18.16/4.78 | (68) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 18.16/4.78 | (69) ~ (all_0_116_116 = e11)
% 18.16/4.78 | (70) op1(e11, e12) = all_0_118_118
% 18.16/4.78 | (71) all_0_114_114 = e10 | all_0_116_116 = e10 | all_0_123_123 = e10
% 18.16/4.78 | (72) op2(all_0_106_106, all_0_110_110) = all_0_47_47
% 18.16/4.78 | (73) h2(e13) = all_0_106_106
% 18.16/4.78 | (74) op2(all_0_110_110, e21) = all_0_60_60
% 18.16/4.78 | (75) h4(all_0_117_117) = all_0_14_14
% 18.16/4.78 | (76) h2(all_0_112_112) = all_0_44_44
% 18.16/4.78 | (77) ~ (all_0_122_122 = e10)
% 18.16/4.78 | (78) ~ (all_0_116_116 = all_0_119_119)
% 18.16/4.78 | (79) op2(all_0_106_106, all_0_106_106) = all_0_41_41
% 18.16/4.78 | (80) ~ (all_0_102_102 = all_0_103_103)
% 18.16/4.78 | (81) ~ (all_0_98_98 = all_0_99_99)
% 18.16/4.78 | (82) op2(all_0_110_110, e20) = all_0_62_62
% 18.16/4.78 | (83) all_0_111_111 = e10 | all_0_115_115 = e10 | all_0_120_120 = e10
% 18.16/4.78 | (84) op2(all_0_94_94, all_0_98_98) = all_0_4_4
% 18.16/4.78 | (85) h2(all_0_111_111) = all_0_42_42
% 18.16/4.78 | (86) op2(all_0_96_96, all_0_110_110) = all_0_70_70
% 18.16/4.78 | (87) op2(all_0_94_94, all_0_95_95) = all_0_6_6
% 18.16/4.78 | (88) op2(all_0_98_98, all_0_95_95) = all_0_18_18
% 18.16/4.78 | (89) h3(all_0_123_123) = all_0_40_40
% 18.64/4.78 | (90) h3(all_0_115_115) = all_0_32_32
% 18.64/4.78 | (91) ~ (all_0_117_117 = all_0_119_119)
% 18.64/4.78 | (92) ~ (all_0_28_28 = all_0_98_98) | ~ (all_0_29_29 = all_0_99_99) | ~ (all_0_30_30 = all_0_100_100) | ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 18.64/4.78 | (93) op1(e11, e11) = e10
% 18.64/4.78 | (94) ~ (all_0_108_108 = e21)
% 18.64/4.78 | (95) ~ (all_0_100_100 = e20)
% 18.64/4.78 | (96) all_0_120_120 = e10 | all_0_121_121 = e10 | all_0_123_123 = e10
% 18.64/4.78 | (97) ~ (all_0_105_105 = all_0_108_108)
% 18.64/4.78 | (98) op1(e10, e10) = all_0_123_123
% 18.64/4.78 | (99) all_0_104_104 = e23 | all_0_105_105 = e23 | all_0_106_106 = e23
% 18.64/4.78 | (100) op2(e21, e22) = all_0_105_105
% 18.64/4.78 | (101) ~ (e23 = e13)
% 18.64/4.78 | (102) all_0_117_117 = e12 | all_0_118_118 = e12 | all_0_119_119 = e12
% 18.64/4.79 | (103) op2(all_0_94_94, e23) = all_0_2_2
% 18.64/4.79 | (104) ~ (all_0_98_98 = all_0_101_101)
% 18.64/4.79 | (105) all_0_101_101 = e22 | all_0_103_103 = e22 | all_0_106_106 = e22 | all_0_110_110 = e22
% 18.64/4.79 | (106) h1(all_0_119_119) = all_0_85_85
% 18.64/4.79 | (107) all_0_107_107 = e20 | all_0_108_108 = e20 | all_0_110_110 = e20
% 18.64/4.79 | (108) op2(e20, all_0_96_96) = all_0_74_74
% 18.64/4.79 | (109) h1(all_0_118_118) = all_0_82_82
% 18.64/4.79 | (110) all_0_111_111 = e13 | all_0_111_111 = e12 | all_0_111_111 = e11 | all_0_111_111 = e10
% 18.64/4.79 | (111) ~ (e22 = e20)
% 18.64/4.79 | (112) all_0_113_113 = e11 | all_0_122_122 = e11
% 18.64/4.79 | (113) ~ (all_0_104_104 = all_0_105_105)
% 18.64/4.79 | (114) op2(all_0_96_96, all_0_96_96) = all_0_66_66
% 18.64/4.79 | (115) op2(e23, all_0_98_98) = all_0_94_94
% 18.64/4.79 | (116) op1(e11, e13) = all_0_117_117
% 18.64/4.79 | (117) op1(e12, e12) = e11
% 18.64/4.79 | (118) ~ (all_0_122_122 = all_0_123_123)
% 18.64/4.79 | (119) h1(all_0_115_115) = all_0_75_75
% 18.64/4.79 | (120) op2(all_0_106_106, e21) = all_0_43_43
% 18.64/4.79 | (121) ~ (all_0_115_115 = e13)
% 18.64/4.79 | (122) ~ (all_0_102_102 = e21)
% 18.64/4.79 | (123) all_0_117_117 = e13 | all_0_117_117 = e12 | all_0_117_117 = e11
% 18.64/4.79 | (124) all_0_112_112 = e10 | all_0_121_121 = e10
% 18.64/4.79 | (125) all_0_115_115 = e10 | all_0_116_116 = e10
% 18.64/4.79 | (126) ~ (all_0_116_116 = all_0_123_123)
% 18.64/4.79 | (127) h4(all_0_120_120) = all_0_21_21
% 18.64/4.79 | (128) all_0_104_104 = e22 | all_0_105_105 = e22 | all_0_106_106 = e22
% 18.64/4.79 | (129) h2(e12) = e21
% 18.64/4.79 | (130) ~ (all_0_100_100 = all_0_109_109)
% 18.64/4.79 | (131) ~ (all_0_104_104 = e20)
% 18.64/4.79 | (132) all_0_111_111 = e13 | all_0_112_112 = e13 | all_0_114_114 = e13
% 18.64/4.79 | (133) h3(all_0_119_119) = all_0_36_36
% 18.64/4.79 | (134) op1(e13, e13) = all_0_111_111
% 18.64/4.79 | (135) all_0_113_113 = e12 | all_0_113_113 = e11
% 18.64/4.79 | (136) h3(all_0_117_117) = all_0_34_34
% 18.64/4.79 | (137) all_0_101_101 = e21 | all_0_106_106 = e21 | all_0_110_110 = e21
% 18.64/4.79 | (138) ~ (all_0_107_107 = all_0_108_108)
% 18.64/4.79 | (139) h2(all_0_122_122) = all_0_63_63
% 18.64/4.79 | (140) ~ (all_0_121_121 = all_0_122_122)
% 18.64/4.79 | (141) op1(e13, e11) = all_0_113_113
% 18.64/4.79 | (142) op2(all_0_97_97, e20) = all_0_88_88
% 18.64/4.79 | (143) ~ (all_0_99_99 = e21)
% 18.64/4.79 | (144) op2(all_0_97_97, all_0_97_97) = all_0_92_92
% 18.64/4.79 | (145) ~ (e21 = e11)
% 18.64/4.79 | (146) all_0_99_99 = e23 | all_0_105_105 = e23 | all_0_108_108 = e23
% 18.64/4.79 | (147) ~ (e12 = e10)
% 18.64/4.79 | (148) ~ (all_0_103_103 = e23)
% 18.64/4.79 | (149) ~ (e20 = e10)
% 18.64/4.79 | (150) ~ (all_0_119_119 = all_0_123_123)
% 18.64/4.79 | (151) h2(all_0_123_123) = all_0_65_65
% 18.64/4.79 | (152) ~ (all_0_115_115 = all_0_117_117)
% 18.64/4.79 | (153) ~ (all_0_118_118 = e11)
% 18.64/4.79 | (154) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 18.64/4.79 | (155) all_0_111_111 = e11 | all_0_117_117 = e11 | all_0_120_120 = e11
% 18.64/4.79 | (156) ~ (all_0_98_98 = all_0_107_107)
% 18.64/4.79 | (157) ~ (all_0_102_102 = all_0_104_104)
% 18.64/4.79 | (158) h4(e13) = all_0_94_94
% 18.64/4.79 | (159) ~ (all_0_119_119 = e10)
% 18.64/4.79 | (160) op2(all_0_98_98, e23) = all_0_15_15
% 18.64/4.79 | (161) ~ (all_0_99_99 = all_0_108_108)
% 18.64/4.79 | (162) h1(all_0_121_121) = all_0_89_89
% 18.64/4.79 | (163) h4(e11) = all_0_98_98
% 18.64/4.79 | (164) h3(all_0_112_112) = all_0_29_29
% 18.64/4.79 | (165) all_0_98_98 = e23 | all_0_104_104 = e23 | all_0_107_107 = e23
% 18.64/4.79 | (166) all_0_99_99 = e23 | all_0_99_99 = e22 | all_0_99_99 = e20
% 18.64/4.79 | (167) ~ (all_0_111_111 = all_0_117_117)
% 18.64/4.79 | (168) ~ (all_0_105_105 = e20)
% 18.64/4.79 | (169) h2(all_0_121_121) = all_0_61_61
% 18.64/4.79 | (170) op2(e20, all_0_97_97) = all_0_77_77
% 18.64/4.79 | (171) op2(e20, e23) = all_0_107_107
% 18.64/4.79 | (172) all_0_111_111 = e11 | all_0_113_113 = e11 | all_0_114_114 = e11
% 18.64/4.79 | (173) all_0_117_117 = e11 | all_0_119_119 = e11
% 18.64/4.79 | (174) all_0_106_106 = e23 | all_0_106_106 = e22 | all_0_106_106 = e21
% 18.64/4.79 | (175) op2(e22, e21) = e23
% 18.64/4.80 | (176) h4(e12) = e23
% 18.64/4.80 | (177) op1(e10, e13) = all_0_120_120
% 18.64/4.80 | (178) op2(e23, e21) = all_0_100_100
% 18.64/4.80 | (179) all_0_107_107 = e23 | all_0_108_108 = e23 | all_0_110_110 = e23
% 18.64/4.80 | (180) op2(all_0_95_95, all_0_95_95) = all_0_26_26
% 18.64/4.80 | (181) h1(e13) = all_0_96_96
% 18.64/4.80 | (182) all_0_122_122 = e12 | all_0_122_122 = e11
% 18.64/4.80 | (183) all_0_101_101 = e20 | all_0_103_103 = e20 | all_0_110_110 = e20
% 18.64/4.80 | (184) h1(all_0_112_112) = all_0_69_69
% 18.64/4.80 | (185) op2(all_0_97_97, all_0_96_96) = all_0_86_86
% 18.64/4.80 | (186) ~ (all_0_111_111 = all_0_113_113)
% 18.64/4.80 | (187) all_0_98_98 = e22 | all_0_102_102 = e22 | all_0_104_104 = e22 | all_0_107_107 = e22
% 18.64/4.80 | (188) ~ (all_0_109_109 = e20)
% 18.64/4.80 | (189) ~ (e13 = e10)
% 18.64/4.80 | (190) op2(e20, e22) = all_0_108_108
% 18.64/4.80 | (191) ~ (all_0_101_101 = all_0_103_103)
% 18.64/4.80 | (192) ~ (all_0_102_102 = all_0_107_107)
% 18.64/4.80 | (193) all_0_119_119 = e13 | all_0_119_119 = e12 | all_0_119_119 = e11
% 18.64/4.80 | (194) ~ (all_0_109_109 = e23)
% 18.64/4.80 | (195) ~ (all_0_114_114 = all_0_116_116)
% 18.64/4.80 | (196) op2(e23, e23) = all_0_98_98
% 18.64/4.80 | (197) ~ (all_0_100_100 = e23)
% 18.64/4.80 | (198) all_0_98_98 = e23 | all_0_99_99 = e23 | all_0_101_101 = e23
% 18.64/4.80 | (199) h1(e12) = e20
% 18.64/4.80 | (200) ~ (all_0_113_113 = all_0_122_122)
% 18.64/4.80 | (201) ~ (e20 = e13)
% 18.64/4.80 | (202) ~ (all_0_99_99 = all_0_105_105)
% 18.64/4.80 | (203) op2(all_0_95_95, all_0_94_94) = all_0_20_20
% 18.64/4.80 | (204) all_0_120_120 = e13 | all_0_120_120 = e12 | all_0_120_120 = e11 | all_0_120_120 = e10
% 18.64/4.80 | (205) ~ (all_0_103_103 = e21)
% 18.64/4.80 | (206) ~ (all_0_98_98 = all_0_104_104)
% 18.64/4.80 | (207) ~ (all_0_112_112 = all_0_114_114)
% 18.64/4.80 | (208) ~ (all_0_112_112 = all_0_121_121)
% 18.64/4.80 | (209) ~ (e20 = e11)
% 18.64/4.80 | (210) (all_0_98_98 = e23 & ( ~ (all_0_110_110 = e23) | all_0_107_107 = e20)) | (all_0_98_98 = e22 & all_0_99_99 = e23 & ( ~ (all_0_110_110 = e22) | all_0_108_108 = e20)) | (all_0_98_98 = e20 & all_0_101_101 = e23 & all_0_106_106 = e21) | (all_0_106_106 = e21 & all_0_110_110 = e20 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23)) | (all_0_106_106 = e21 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23)) | (all_0_107_107 = e20 & all_0_110_110 = e23) | (all_0_108_108 = e20 & all_0_110_110 = e22 & ( ~ (all_0_98_98 = e22) | all_0_99_99 = e23))
% 18.64/4.80 | (211) op1(e12, e10) = all_0_116_116
% 18.64/4.80 | (212) ~ (all_0_118_118 = all_0_119_119)
% 18.64/4.80 | (213) op2(all_0_110_110, all_0_106_106) = all_0_58_58
% 18.64/4.80 | (214) ~ (all_0_107_107 = all_0_110_110)
% 18.64/4.80 | (215) op1(e10, e11) = all_0_122_122
% 18.64/4.80 | (216) h4(all_0_115_115) = all_0_9_9
% 18.64/4.80 | (217) h3(all_0_116_116) = all_0_33_33
% 18.64/4.80 | (218) all_0_111_111 = e12 | all_0_112_112 = e12 | all_0_113_113 = e12 | all_0_114_114 = e12
% 18.64/4.80 | (219) ~ (all_0_117_117 = e10)
% 18.64/4.80 | (220) all_0_104_104 = e21 | all_0_106_106 = e21
% 18.64/4.80 | (221) h2(all_0_115_115) = all_0_50_50
% 18.64/4.80 | (222) h1(all_0_111_111) = all_0_67_67
% 18.64/4.80 | (223) ~ (e23 = e10)
% 18.64/4.80 | (224) all_0_117_117 = e13 | all_0_118_118 = e13 | all_0_119_119 = e13
% 18.64/4.80 | (225) all_0_112_112 = e12 | all_0_118_118 = e12 | all_0_121_121 = e12
% 18.64/4.80 | (226) h1(all_0_116_116) = all_0_78_78
% 18.64/4.80 | (227) h4(all_0_122_122) = all_0_25_25
% 18.64/4.80 | (228) all_0_102_102 = e22 | all_0_103_103 = e22
% 18.64/4.80 | (229) h2(all_0_120_120) = all_0_59_59
% 18.64/4.80 | (230) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10) | (all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 18.76/4.80 | (231) h1(all_0_122_122) = all_0_91_91
% 18.76/4.80 | (232) op2(e20, all_0_106_106) = all_0_53_53
% 18.76/4.80 | (233) op2(all_0_110_110, all_0_110_110) = all_0_83_83
% 18.76/4.80 | (234) op2(e21, e21) = e20
% 18.76/4.80 | (235) all_0_110_110 = e23 | all_0_110_110 = e22 | all_0_110_110 = e21 | all_0_110_110 = e20
% 18.76/4.80 | (236) ~ (all_0_105_105 = e21)
% 18.76/4.80 | (237) all_0_101_101 = e23 | all_0_106_106 = e23 | all_0_110_110 = e23
% 18.76/4.80 | (238) h3(e13) = e23
% 18.76/4.80 | (239) all_0_101_101 = e23 | all_0_101_101 = e22 | all_0_101_101 = e21 | all_0_101_101 = e20
% 18.76/4.80 | (240) all_0_99_99 = e20 | all_0_108_108 = e20
% 18.76/4.80 | (241) ~ (e22 = e21)
% 18.76/4.80 | (242) all_0_107_107 = e22 | all_0_108_108 = e22 | all_0_109_109 = e22 | all_0_110_110 = e22
% 18.76/4.80 | (243) ~ (all_0_99_99 = all_0_100_100)
% 18.76/4.80 | (244) ~ (all_0_117_117 = all_0_118_118)
% 18.76/4.80 | (245) h4(all_0_113_113) = all_0_5_5
% 18.76/4.80 | (246) ~ (all_0_106_106 = e20)
% 18.76/4.80 | (247) h2(all_0_113_113) = all_0_46_46
% 18.76/4.80 | (248) ~ (e23 = e12)
% 18.76/4.80 | (249) h4(all_0_123_123) = all_0_27_27
% 18.76/4.80 | (250) op2(all_0_110_110, all_0_110_110) = all_0_97_97
% 18.76/4.80 | (251) all_0_114_114 = e11 | all_0_119_119 = e11 | all_0_123_123 = e11
% 18.76/4.80 | (252) op2(e21, all_0_106_106) = all_0_49_49
% 18.76/4.80 | (253) op2(e23, all_0_94_94) = all_0_8_8
% 18.76/4.80 | (254) h4(all_0_119_119) = all_0_19_19
% 18.76/4.80 | (255) ~ (all_0_115_115 = e11)
% 18.76/4.80 | (256) ~ (all_0_115_115 = all_0_120_120)
% 18.76/4.80 | (257) op2(all_0_95_95, all_0_98_98) = all_0_24_24
% 18.76/4.80 | (258) h3(all_0_120_120) = all_0_37_37
% 18.76/4.80 | (259) all_0_98_98 = e21 | all_0_100_100 = e21 | all_0_101_101 = e21
% 18.76/4.80 | (260) ~ (e20 = e12)
% 18.76/4.80 | (261) all_0_108_108 = e23 | all_0_108_108 = e22 | all_0_108_108 = e20
% 18.76/4.80 | (262) ~ (e23 = e20)
% 18.76/4.80 | (263) h3(e10) = e20
% 18.76/4.80 | (264) all_0_114_114 = e13 | all_0_119_119 = e13 | all_0_123_123 = e13
% 18.76/4.80 | (265) ~ (all_0_98_98 = all_0_102_102)
% 18.76/4.80 | (266) all_0_114_114 = e13 | all_0_114_114 = e12 | all_0_114_114 = e11 | all_0_114_114 = e10
% 18.76/4.80 | (267) ~ (all_0_114_114 = all_0_123_123)
% 18.76/4.80 | (268) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 18.76/4.80 | (269) op2(all_0_98_98, all_0_98_98) = all_0_95_95
% 18.76/4.80 | (270) ~ (all_0_111_111 = all_0_120_120)
% 18.76/4.80 | (271) op2(e22, e20) = all_0_103_103
% 18.76/4.80 | (272) h2(all_0_118_118) = all_0_55_55
% 18.76/4.80 | (273) op2(all_0_98_98, all_0_94_94) = all_0_13_13
% 18.76/4.80 | (274) h1(all_0_114_114) = all_0_73_73
% 18.76/4.81 | (275) ~ (e23 = e21)
% 18.76/4.81 | (276) ~ (e22 = e13)
% 18.76/4.81 | (277) ~ (e22 = e12)
% 18.76/4.81 | (278) ~ (e13 = e12)
% 18.76/4.81 | (279) h4(e10) = all_0_95_95
% 18.76/4.81 | (280) h2(e10) = all_0_110_110
% 18.76/4.81 | (281) op1(e11, e10) = all_0_119_119
% 18.76/4.81 | (282) all_0_105_105 = e23 | all_0_105_105 = e22
% 18.76/4.81 | (283) ~ (all_0_113_113 = all_0_114_114)
% 18.76/4.81 | (284) ~ (e11 = e10)
% 18.76/4.81 | (285) all_0_116_116 = e12 | all_0_116_116 = e10
% 18.76/4.81 | (286) ~ (all_0_111_111 = all_0_115_115)
% 18.76/4.81 | (287) all_0_102_102 = e22 | all_0_102_102 = e20
% 18.76/4.81 | (288) all_0_100_100 = e21 | all_0_109_109 = e21
% 18.76/4.81 | (289) ~ (all_0_108_108 = all_0_109_109)
% 18.76/4.81 | (290) ~ (all_0_118_118 = e10)
% 18.76/4.81 | (291) op2(all_0_95_95, e23) = all_0_22_22
% 18.76/4.81 | (292) ~ (all_0_121_121 = all_0_123_123)
% 18.76/4.81 | (293) ~ (all_0_122_122 = e13)
% 18.76/4.81 | (294) ~ (e23 = e11)
% 18.76/4.81 | (295) ~ (all_0_109_109 = all_0_110_110)
% 18.76/4.81 | (296) h1(all_0_117_117) = all_0_80_80
% 18.76/4.81 | (297) h3(e12) = e22
% 18.76/4.81 | (298) op2(e21, e23) = all_0_104_104
% 18.76/4.81 | (299) ~ (e12 = e11)
% 18.76/4.81 | (300) h3(all_0_114_114) = all_0_31_31
% 18.76/4.81 | (301) op2(all_0_110_110, e20) = all_0_81_81
% 18.76/4.81 | (302) ~ (e21 = e12)
% 18.76/4.81 | (303) ~ (all_0_117_117 = all_0_120_120)
% 18.76/4.81 | (304) all_0_100_100 = e22 | all_0_100_100 = e21
% 18.76/4.81 | (305) ~ (all_0_112_112 = all_0_113_113)
% 18.76/4.81 | (306) h1(all_0_113_113) = all_0_71_71
% 18.76/4.81 | (307) all_0_98_98 = e21 | all_0_104_104 = e21 | all_0_107_107 = e21
% 18.76/4.81 | (308) ~ (all_0_104_104 = all_0_106_106)
% 18.76/4.81 | (309) all_0_98_98 = e20 | all_0_102_102 = e20 | all_0_107_107 = e20
% 18.76/4.81 | (310) h1(all_0_123_123) = all_0_93_93
% 18.76/4.81 | (311) h2(all_0_117_117) = all_0_54_54
% 18.76/4.81 | (312) ~ (e21 = e20)
% 18.76/4.81 | (313) op2(e22, e22) = e21
% 18.76/4.81 | (314) h4(all_0_111_111) = all_0_1_1
% 18.76/4.81 | (315) h4(all_0_116_116) = all_0_12_12
% 18.76/4.81 | (316) op2(all_0_96_96, all_0_97_97) = all_0_72_72
% 18.76/4.81 | (317) h4(all_0_118_118) = all_0_16_16
% 18.76/4.81 | (318) h4(all_0_114_114) = all_0_7_7
% 18.76/4.81 | (319) ~ (e21 = e13)
% 18.76/4.81 | (320) all_0_98_98 = e22 | all_0_99_99 = e22 | all_0_100_100 = e22 | all_0_101_101 = e22
% 18.76/4.81 | (321) all_0_118_118 = e13 | all_0_118_118 = e12
% 18.76/4.81 | (322) h1(e10) = all_0_97_97
% 18.76/4.81 | (323) ~ (all_0_113_113 = e10)
% 18.76/4.81 | (324) ~ (all_0_103_103 = all_0_110_110)
% 18.76/4.81 | (325) ~ (all_0_100_100 = all_0_101_101)
% 18.76/4.81 | (326) all_0_115_115 = e12 | all_0_115_115 = e10
% 18.76/4.81 | (327) all_0_111_111 = e12 | all_0_115_115 = e12 | all_0_117_117 = e12 | all_0_120_120 = e12
% 18.76/4.81 | (328) ~ (all_0_103_103 = all_0_106_106)
% 18.76/4.81 | (329) op2(e23, all_0_95_95) = all_0_11_11
% 18.76/4.81 | (330) op2(e20, all_0_110_110) = all_0_96_96
% 18.76/4.81 | (331) h4(all_0_121_121) = all_0_23_23
% 18.76/4.81 | (332) h2(all_0_114_114) = all_0_48_48
% 18.76/4.81 | (333) h2(e11) = e20
% 18.76/4.81 | (334) all_0_109_109 = e22 | all_0_109_109 = e21
% 18.76/4.81 | (335) all_0_112_112 = e13 | all_0_112_112 = e12 | all_0_112_112 = e10
% 18.76/4.81 | (336) ~ (all_0_107_107 = all_0_109_109)
% 18.76/4.81 | (337) all_0_120_120 = e12 | all_0_121_121 = e12 | all_0_122_122 = e12 | all_0_123_123 = e12
% 18.76/4.81 | (338) all_0_113_113 = e12 | all_0_122_122 = e12
% 18.76/4.81 | (339) ~ (all_0_101_101 = all_0_106_106)
% 18.76/4.81 | (340) all_0_115_115 = e12 | all_0_116_116 = e12
% 18.76/4.81 | (341) ~ (e13 = e11)
% 18.76/4.81 | (342) ~ (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_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.76/4.81 | (343) op2(all_0_94_94, all_0_94_94) = all_0_0_0
% 18.76/4.81 | (344) ~ (all_0_101_101 = all_0_110_110)
% 18.76/4.81 | (345) op2(all_0_106_106, e20) = all_0_45_45
% 18.76/4.81 | (346) all_0_107_107 = e23 | all_0_107_107 = e22 | all_0_107_107 = e21 | all_0_107_107 = e20
% 18.76/4.81 | (347) op1(e13, e10) = all_0_114_114
% 18.76/4.81 | (348) op2(all_0_96_96, e20) = all_0_68_68
% 18.76/4.81 | (349) ~ (all_0_115_115 = all_0_116_116)
% 18.76/4.81 | (350) op2(e20, all_0_110_110) = all_0_76_76
% 18.76/4.81 | (351) op2(e23, e22) = all_0_99_99
% 18.76/4.81 | (352) h3(all_0_111_111) = all_0_28_28
% 18.76/4.81 | (353) h3(e11) = e21
% 18.76/4.81 | (354) all_0_112_112 = e13 | all_0_118_118 = e13 | all_0_121_121 = e13
% 18.76/4.81 | (355) ~ (e22 = e10)
% 18.76/4.81 | (356) ~ (all_0_98_98 = all_0_100_100)
% 18.76/4.81 | (357) all_0_120_120 = e13 | all_0_121_121 = e13 | all_0_123_123 = e13
% 18.76/4.81 | (358) ~ (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_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 18.76/4.81 | (359) ~ (all_0_114_114 = all_0_119_119)
% 18.76/4.81 |
% 18.76/4.81 | Instantiating formula (64) with all_0_98_98, all_0_98_98, all_0_95_95, all_0_17_17 and discharging atoms op2(all_0_98_98, all_0_98_98) = all_0_17_17, op2(all_0_98_98, all_0_98_98) = all_0_95_95, yields:
% 18.76/4.81 | (360) all_0_17_17 = all_0_95_95
% 18.76/4.81 |
% 18.76/4.81 | Instantiating formula (64) with all_0_110_110, all_0_110_110, all_0_83_83, all_0_64_64 and discharging atoms op2(all_0_110_110, all_0_110_110) = all_0_64_64, op2(all_0_110_110, all_0_110_110) = all_0_83_83, yields:
% 18.76/4.81 | (361) all_0_64_64 = all_0_83_83
% 18.76/4.81 |
% 18.76/4.81 | Instantiating formula (64) with all_0_110_110, all_0_110_110, all_0_97_97, all_0_64_64 and discharging atoms op2(all_0_110_110, all_0_110_110) = all_0_64_64, op2(all_0_110_110, all_0_110_110) = all_0_97_97, yields:
% 18.76/4.81 | (362) all_0_64_64 = all_0_97_97
% 18.76/4.81 |
% 18.76/4.81 | Instantiating formula (64) with all_0_110_110, e20, all_0_81_81, all_0_62_62 and discharging atoms op2(all_0_110_110, e20) = all_0_62_62, op2(all_0_110_110, e20) = all_0_81_81, yields:
% 18.76/4.81 | (363) all_0_62_62 = all_0_81_81
% 18.76/4.81 |
% 18.76/4.81 | Instantiating formula (64) with e23, all_0_98_98, all_0_94_94, all_0_10_10 and discharging atoms op2(e23, all_0_98_98) = all_0_10_10, op2(e23, all_0_98_98) = all_0_94_94, yields:
% 18.76/4.81 | (364) all_0_10_10 = all_0_94_94
% 18.76/4.81 |
% 18.76/4.81 | Instantiating formula (64) with e20, all_0_110_110, all_0_76_76, all_0_56_56 and discharging atoms op2(e20, all_0_110_110) = all_0_56_56, op2(e20, all_0_110_110) = all_0_76_76, yields:
% 18.76/4.81 | (365) all_0_56_56 = all_0_76_76
% 18.76/4.81 |
% 18.76/4.82 | Instantiating formula (64) with e20, all_0_110_110, all_0_96_96, all_0_56_56 and discharging atoms op2(e20, all_0_110_110) = all_0_56_56, op2(e20, all_0_110_110) = all_0_96_96, yields:
% 18.76/4.82 | (366) all_0_56_56 = all_0_96_96
% 18.76/4.82 |
% 18.76/4.82 | Combining equations (366,365) yields a new equation:
% 18.76/4.82 | (367) all_0_76_76 = all_0_96_96
% 18.76/4.82 |
% 18.76/4.82 | Combining equations (362,361) yields a new equation:
% 18.76/4.82 | (368) all_0_83_83 = all_0_97_97
% 18.76/4.82 |
% 18.76/4.82 | Combining equations (368,361) yields a new equation:
% 18.76/4.82 | (362) all_0_64_64 = all_0_97_97
% 18.76/4.82 |
% 18.76/4.82 | Combining equations (367,365) yields a new equation:
% 18.76/4.82 | (366) all_0_56_56 = all_0_96_96
% 18.76/4.82 |
% 18.76/4.82 | From (360) and (20) follows:
% 18.76/4.82 | (269) op2(all_0_98_98, all_0_98_98) = all_0_95_95
% 18.76/4.82 |
% 18.76/4.82 | From (368) and (233) follows:
% 18.76/4.82 | (250) op2(all_0_110_110, all_0_110_110) = all_0_97_97
% 18.76/4.82 |
% 18.76/4.82 | From (363) and (82) follows:
% 18.76/4.82 | (301) op2(all_0_110_110, e20) = all_0_81_81
% 18.76/4.82 |
% 18.76/4.82 | From (364) and (18) follows:
% 18.76/4.82 | (115) op2(e23, all_0_98_98) = all_0_94_94
% 18.76/4.82 |
% 18.76/4.82 | From (367) and (350) follows:
% 18.76/4.82 | (330) op2(e20, all_0_110_110) = all_0_96_96
% 18.76/4.82 |
% 18.76/4.82 +-Applying beta-rule and splitting (240), into two cases.
% 18.76/4.82 |-Branch one:
% 18.76/4.82 | (376) all_0_99_99 = e20
% 18.76/4.82 |
% 18.76/4.82 | Equations (376) can reduce 81 to:
% 18.76/4.82 | (377) ~ (all_0_98_98 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Equations (376) can reduce 243 to:
% 18.76/4.82 | (378) ~ (all_0_100_100 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Simplifying 378 yields:
% 18.76/4.82 | (95) ~ (all_0_100_100 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Equations (376) can reduce 59 to:
% 18.76/4.82 | (380) ~ (all_0_101_101 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Simplifying 380 yields:
% 18.76/4.82 | (381) ~ (all_0_101_101 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Equations (376) can reduce 202 to:
% 18.76/4.82 | (382) ~ (all_0_105_105 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Simplifying 382 yields:
% 18.76/4.82 | (168) ~ (all_0_105_105 = e20)
% 18.76/4.82 |
% 18.76/4.82 | From (376) and (351) follows:
% 18.76/4.82 | (384) op2(e23, e22) = e20
% 18.76/4.82 |
% 18.76/4.82 +-Applying beta-rule and splitting (34), into two cases.
% 18.76/4.82 |-Branch one:
% 18.76/4.82 | (385) all_0_103_103 = e20
% 18.76/4.82 |
% 18.76/4.82 | Equations (385) can reduce 191 to:
% 18.76/4.82 | (381) ~ (all_0_101_101 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Equations (385) can reduce 80 to:
% 18.76/4.82 | (387) ~ (all_0_102_102 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Equations (385) can reduce 148 to:
% 18.76/4.82 | (388) ~ (e23 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Simplifying 388 yields:
% 18.76/4.82 | (262) ~ (e23 = e20)
% 18.76/4.82 |
% 18.76/4.82 | From (385) and (271) follows:
% 18.76/4.82 | (390) op2(e22, e20) = e20
% 18.76/4.82 |
% 18.76/4.82 +-Applying beta-rule and splitting (287), into two cases.
% 18.76/4.82 |-Branch one:
% 18.76/4.82 | (391) all_0_102_102 = e20
% 18.76/4.82 |
% 18.76/4.82 | Equations (391) can reduce 387 to:
% 18.76/4.82 | (392) $false
% 18.76/4.82 |
% 18.76/4.82 |-The branch is then unsatisfiable
% 18.76/4.82 |-Branch two:
% 18.76/4.82 | (387) ~ (all_0_102_102 = e20)
% 18.76/4.82 | (394) all_0_102_102 = e22
% 18.76/4.82 |
% 18.76/4.82 | Equations (394) can reduce 265 to:
% 18.76/4.82 | (395) ~ (all_0_98_98 = e22)
% 18.76/4.82 |
% 18.76/4.82 | Equations (394) can reduce 157 to:
% 18.76/4.82 | (396) ~ (all_0_104_104 = e22)
% 18.76/4.82 |
% 18.76/4.82 | Simplifying 396 yields:
% 18.76/4.82 | (397) ~ (all_0_104_104 = e22)
% 18.76/4.82 |
% 18.76/4.82 | Equations (394) can reduce 122 to:
% 18.76/4.82 | (241) ~ (e22 = e21)
% 18.76/4.82 |
% 18.76/4.82 | Equations (394) can reduce 387 to:
% 18.76/4.82 | (111) ~ (e22 = e20)
% 18.76/4.82 |
% 18.76/4.82 | From (394) and (33) follows:
% 18.76/4.82 | (400) op2(e22, e23) = e22
% 18.76/4.82 |
% 18.76/4.82 +-Applying beta-rule and splitting (107), into two cases.
% 18.76/4.82 |-Branch one:
% 18.76/4.82 | (401) all_0_107_107 = e20
% 18.76/4.82 |
% 18.76/4.82 | Equations (401) can reduce 138 to:
% 18.76/4.82 | (402) ~ (all_0_108_108 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Simplifying 402 yields:
% 18.76/4.82 | (403) ~ (all_0_108_108 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Equations (401) can reduce 336 to:
% 18.76/4.82 | (404) ~ (all_0_109_109 = e20)
% 18.76/4.82 |
% 18.76/4.82 | Simplifying 404 yields:
% 18.76/4.82 | (188) ~ (all_0_109_109 = e20)
% 18.76/4.82 |
% 18.76/4.82 | From (401) and (171) follows:
% 18.76/4.82 | (406) op2(e20, e23) = e20
% 18.76/4.82 |
% 18.76/4.82 +-Applying beta-rule and splitting (304), into two cases.
% 18.76/4.82 |-Branch one:
% 18.76/4.82 | (407) all_0_100_100 = e22
% 18.76/4.82 |
% 18.76/4.82 | Equations (407) can reduce 325 to:
% 18.76/4.82 | (408) ~ (all_0_101_101 = e22)
% 18.76/4.82 |
% 18.76/4.82 | Simplifying 408 yields:
% 18.76/4.82 | (409) ~ (all_0_101_101 = e22)
% 18.76/4.82 |
% 18.76/4.82 | Equations (407) can reduce 130 to:
% 18.76/4.82 | (410) ~ (all_0_109_109 = e22)
% 18.76/4.82 |
% 18.76/4.82 | Simplifying 410 yields:
% 18.76/4.82 | (411) ~ (all_0_109_109 = e22)
% 18.76/4.82 |
% 18.76/4.82 | Equations (407) can reduce 95 to:
% 18.76/4.82 | (111) ~ (e22 = e20)
% 18.76/4.82 |
% 18.76/4.82 | From (407) and (178) follows:
% 18.76/4.82 | (413) op2(e23, e21) = e22
% 18.76/4.82 |
% 18.76/4.82 +-Applying beta-rule and splitting (40), into two cases.
% 18.76/4.82 |-Branch one:
% 18.76/4.82 | (414) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))) | (all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23))) | (all_0_103_103 = e20 & all_0_108_108 = e20)
% 18.76/4.82 |
% 18.76/4.82 +-Applying beta-rule and splitting (414), into two cases.
% 18.76/4.82 |-Branch one:
% 18.76/4.82 | (415) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))) | (all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)))
% 18.76/4.83 |
% 18.76/4.83 +-Applying beta-rule and splitting (415), into two cases.
% 18.76/4.83 |-Branch one:
% 18.76/4.83 | (416) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)))
% 18.76/4.83 |
% 18.76/4.83 +-Applying beta-rule and splitting (416), into two cases.
% 18.76/4.83 |-Branch one:
% 18.76/4.83 | (417) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 18.76/4.83 |
% 18.76/4.83 +-Applying beta-rule and splitting (417), into two cases.
% 18.76/4.83 |-Branch one:
% 18.76/4.83 | (418) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)))
% 18.76/4.83 |
% 18.76/4.83 +-Applying beta-rule and splitting (418), into two cases.
% 18.76/4.83 |-Branch one:
% 18.76/4.83 | (419) all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))
% 18.76/4.83 |
% 18.76/4.83 | Applying alpha-rule on (419) yields:
% 18.76/4.83 | (420) all_0_99_99 = e22
% 18.76/4.83 | (394) all_0_102_102 = e22
% 18.76/4.83 | (422) ~ (all_0_98_98 = e23)
% 18.76/4.83 | (423) ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)
% 18.76/4.83 |
% 18.76/4.83 | Combining equations (420,376) yields a new equation:
% 18.76/4.83 | (424) e22 = e20
% 18.76/4.83 |
% 18.76/4.83 | Simplifying 424 yields:
% 18.76/4.83 | (425) e22 = e20
% 18.76/4.83 |
% 18.76/4.83 | Equations (425) can reduce 111 to:
% 18.76/4.83 | (392) $false
% 18.76/4.83 |
% 18.76/4.83 |-The branch is then unsatisfiable
% 18.76/4.83 |-Branch two:
% 18.76/4.83 | (427) all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))
% 18.76/4.83 |
% 18.76/4.83 | Applying alpha-rule on (427) yields:
% 18.76/4.83 | (428) all_0_100_100 = e21
% 18.76/4.83 | (429) ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)
% 18.76/4.83 | (422) ~ (all_0_98_98 = e23)
% 18.76/4.83 | (431) all_0_104_104 = e21
% 18.76/4.83 | (423) ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)
% 18.76/4.83 |
% 18.76/4.83 | Combining equations (428,407) yields a new equation:
% 18.76/4.83 | (433) e22 = e21
% 18.76/4.83 |
% 18.76/4.83 | Equations (433) can reduce 241 to:
% 18.76/4.83 | (392) $false
% 18.76/4.83 |
% 18.76/4.83 |-The branch is then unsatisfiable
% 18.76/4.83 |-Branch two:
% 18.76/4.83 | (435) all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 18.76/4.83 |
% 18.76/4.83 | Applying alpha-rule on (435) yields:
% 18.76/4.83 | (436) all_0_101_101 = e23
% 18.76/4.83 | (437) all_0_107_107 = e23
% 18.76/4.83 | (438) ~ (all_0_110_110 = e20)
% 18.76/4.83 | (439) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 18.76/4.83 |
% 18.76/4.83 | Combining equations (401,437) yields a new equation:
% 18.76/4.83 | (440) e23 = e20
% 18.76/4.83 |
% 18.76/4.83 | Equations (440) can reduce 262 to:
% 18.76/4.83 | (392) $false
% 18.76/4.83 |
% 18.76/4.83 |-The branch is then unsatisfiable
% 18.76/4.83 |-Branch two:
% 18.76/4.83 | (442) all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))
% 18.76/4.83 |
% 18.76/4.83 | Applying alpha-rule on (442) yields:
% 18.76/4.83 | (443) all_0_101_101 = e20
% 18.76/4.83 | (401) all_0_107_107 = e20
% 18.76/4.83 | (422) ~ (all_0_98_98 = e23)
% 18.76/4.83 | (429) ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)
% 18.76/4.83 |
% 18.76/4.83 | Equations (443) can reduce 381 to:
% 18.76/4.83 | (392) $false
% 18.76/4.83 |
% 18.76/4.83 |-The branch is then unsatisfiable
% 18.76/4.83 |-Branch two:
% 18.76/4.83 | (448) all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23))
% 18.76/4.83 |
% 18.76/4.83 | Applying alpha-rule on (448) yields:
% 18.76/4.83 | (449) all_0_103_103 = e22
% 18.76/4.83 | (450) all_0_108_108 = e22
% 18.76/4.83 | (438) ~ (all_0_110_110 = e20)
% 18.76/4.83 | (452) ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)
% 18.76/4.83 |
% 18.76/4.83 | Combining equations (385,449) yields a new equation:
% 18.76/4.83 | (425) e22 = e20
% 18.76/4.83 |
% 18.76/4.83 | Equations (425) can reduce 111 to:
% 18.76/4.83 | (392) $false
% 18.76/4.83 |
% 18.76/4.83 |-The branch is then unsatisfiable
% 18.76/4.83 |-Branch two:
% 18.76/4.83 | (455) all_0_103_103 = e20 & all_0_108_108 = e20
% 18.76/4.83 |
% 18.76/4.83 | Applying alpha-rule on (455) yields:
% 18.76/4.83 | (385) all_0_103_103 = e20
% 18.76/4.83 | (457) all_0_108_108 = e20
% 18.76/4.83 |
% 18.76/4.83 | Equations (457) can reduce 403 to:
% 18.76/4.83 | (392) $false
% 18.76/4.83 |
% 18.76/4.83 |-The branch is then unsatisfiable
% 18.76/4.83 |-Branch two:
% 18.76/4.83 | (459) all_0_106_106 = e21 & all_0_109_109 = e21 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 18.76/4.83 |
% 18.76/4.83 | Applying alpha-rule on (459) yields:
% 18.76/4.83 | (438) ~ (all_0_110_110 = e20)
% 18.76/4.83 | (452) ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)
% 18.76/4.83 | (462) all_0_109_109 = e21
% 18.76/4.83 | (439) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 18.76/4.83 | (464) all_0_106_106 = e21
% 18.76/4.83 |
% 18.76/4.83 | Equations (464) can reduce 339 to:
% 18.76/4.83 | (465) ~ (all_0_101_101 = e21)
% 18.76/4.83 |
% 18.76/4.83 | Equations (464) can reduce 66 to:
% 18.76/4.83 | (236) ~ (all_0_105_105 = e21)
% 18.76/4.83 |
% 18.76/4.83 | Equations (462) can reduce 411 to:
% 18.76/4.83 | (467) ~ (e22 = e21)
% 18.76/4.83 |
% 18.76/4.83 | Simplifying 467 yields:
% 18.76/4.83 | (241) ~ (e22 = e21)
% 18.76/4.83 |
% 18.76/4.83 | From (464)(464) and (79) follows:
% 18.76/4.83 | (469) op2(e21, e21) = all_0_41_41
% 18.76/4.83 |
% 18.76/4.83 | From (464) and (72) follows:
% 18.76/4.83 | (470) op2(e21, all_0_110_110) = all_0_47_47
% 18.76/4.83 |
% 18.76/4.83 | From (464) and (120) follows:
% 18.76/4.83 | (471) op2(e21, e21) = all_0_43_43
% 18.76/4.83 |
% 18.76/4.83 | From (464) and (345) follows:
% 18.76/4.83 | (472) op2(e21, e20) = all_0_45_45
% 18.76/4.83 |
% 18.76/4.83 | From (464) and (213) follows:
% 18.76/4.83 | (473) op2(all_0_110_110, e21) = all_0_58_58
% 18.76/4.83 |
% 18.76/4.83 | From (464) and (252) follows:
% 18.91/4.83 | (474) op2(e21, e21) = all_0_49_49
% 18.91/4.83 |
% 18.91/4.83 | From (464) and (15) follows:
% 18.91/4.83 | (475) op2(e21, e20) = e21
% 18.91/4.83 |
% 18.91/4.83 | From (464) and (232) follows:
% 18.91/4.83 | (476) op2(e20, e21) = all_0_53_53
% 18.91/4.83 |
% 18.91/4.83 | From (462) and (11) follows:
% 18.91/4.83 | (477) op2(e20, e21) = e21
% 18.91/4.83 |
% 18.91/4.83 +-Applying beta-rule and splitting (452), into two cases.
% 18.91/4.83 |-Branch one:
% 18.91/4.83 | (478) ~ (all_0_107_107 = e20)
% 18.91/4.83 |
% 18.91/4.83 | Equations (401) can reduce 478 to:
% 18.91/4.83 | (392) $false
% 18.91/4.83 |
% 18.91/4.83 |-The branch is then unsatisfiable
% 18.91/4.83 |-Branch two:
% 18.91/4.83 | (401) all_0_107_107 = e20
% 18.91/4.83 | (481) ~ (all_0_110_110 = e23)
% 18.91/4.83 |
% 18.91/4.83 +-Applying beta-rule and splitting (239), into two cases.
% 18.91/4.83 |-Branch one:
% 18.91/4.83 | (443) all_0_101_101 = e20
% 18.91/4.83 |
% 18.91/4.83 | Equations (443) can reduce 381 to:
% 18.91/4.83 | (392) $false
% 18.91/4.83 |
% 18.91/4.83 |-The branch is then unsatisfiable
% 18.91/4.83 |-Branch two:
% 18.91/4.83 | (381) ~ (all_0_101_101 = e20)
% 18.91/4.83 | (485) all_0_101_101 = e23 | all_0_101_101 = e22 | all_0_101_101 = e21
% 18.91/4.83 |
% 18.91/4.83 +-Applying beta-rule and splitting (485), into two cases.
% 18.91/4.83 |-Branch one:
% 18.91/4.83 | (436) all_0_101_101 = e23
% 18.91/4.83 |
% 18.91/4.83 | Equations (436) can reduce 465 to:
% 18.91/4.83 | (275) ~ (e23 = e21)
% 18.91/4.83 |
% 18.91/4.83 | From (436) and (2) follows:
% 18.91/4.83 | (488) op2(e23, e20) = e23
% 18.91/4.83 |
% 18.91/4.83 +-Applying beta-rule and splitting (128), into two cases.
% 18.91/4.83 |-Branch one:
% 18.91/4.83 | (489) all_0_104_104 = e22
% 18.91/4.83 |
% 18.91/4.83 | Equations (489) can reduce 397 to:
% 18.91/4.83 | (392) $false
% 18.91/4.83 |
% 18.91/4.83 |-The branch is then unsatisfiable
% 18.91/4.83 |-Branch two:
% 18.91/4.83 | (397) ~ (all_0_104_104 = e22)
% 18.91/4.83 | (492) all_0_105_105 = e22 | all_0_106_106 = e22
% 18.91/4.83 |
% 18.91/4.83 +-Applying beta-rule and splitting (259), into two cases.
% 18.91/4.83 |-Branch one:
% 18.91/4.83 | (493) all_0_98_98 = e21
% 18.91/4.83 |
% 18.91/4.83 | Equations (493) can reduce 206 to:
% 18.91/4.83 | (494) ~ (all_0_104_104 = e21)
% 18.91/4.83 |
% 18.91/4.83 | Simplifying 494 yields:
% 18.91/4.83 | (495) ~ (all_0_104_104 = e21)
% 18.91/4.83 |
% 18.91/4.83 | From (493) and (163) follows:
% 18.91/4.83 | (496) h4(e11) = e21
% 18.91/4.83 |
% 18.91/4.83 | From (493) and (84) follows:
% 18.91/4.83 | (497) op2(all_0_94_94, e21) = all_0_4_4
% 18.91/4.83 |
% 18.91/4.83 | From (493) and (257) follows:
% 18.91/4.83 | (498) op2(all_0_95_95, e21) = all_0_24_24
% 18.91/4.83 |
% 18.91/4.83 | From (493) and (273) follows:
% 18.91/4.84 | (499) op2(e21, all_0_94_94) = all_0_13_13
% 18.91/4.84 |
% 18.91/4.84 | From (493) and (88) follows:
% 18.91/4.84 | (500) op2(e21, all_0_95_95) = all_0_18_18
% 18.91/4.84 |
% 18.91/4.84 | From (493)(493) and (269) follows:
% 18.91/4.84 | (501) op2(e21, e21) = all_0_95_95
% 18.91/4.84 |
% 18.91/4.84 | From (493) and (160) follows:
% 18.91/4.84 | (502) op2(e21, e23) = all_0_15_15
% 18.91/4.84 |
% 18.91/4.84 | From (493) and (115) follows:
% 18.91/4.84 | (503) op2(e23, e21) = all_0_94_94
% 18.91/4.84 |
% 18.91/4.84 | From (493) and (196) follows:
% 18.91/4.84 | (504) op2(e23, e23) = e21
% 18.91/4.84 |
% 18.91/4.84 +-Applying beta-rule and splitting (57), into two cases.
% 18.91/4.84 |-Branch one:
% 18.91/4.84 | (505) all_0_104_104 = e23
% 18.91/4.84 |
% 18.91/4.84 | Equations (505) can reduce 113 to:
% 18.91/4.84 | (506) ~ (all_0_105_105 = e23)
% 18.91/4.84 |
% 18.91/4.84 | Simplifying 506 yields:
% 18.91/4.84 | (507) ~ (all_0_105_105 = e23)
% 18.91/4.84 |
% 18.91/4.84 | From (505) and (298) follows:
% 18.91/4.84 | (508) op2(e21, e23) = e23
% 18.91/4.84 |
% 18.91/4.84 +-Applying beta-rule and splitting (282), into two cases.
% 18.91/4.84 |-Branch one:
% 18.91/4.84 | (509) all_0_105_105 = e23
% 18.91/4.84 |
% 18.91/4.84 | Equations (509) can reduce 507 to:
% 18.91/4.84 | (392) $false
% 18.91/4.84 |
% 18.91/4.84 |-The branch is then unsatisfiable
% 18.91/4.84 |-Branch two:
% 18.91/4.84 | (507) ~ (all_0_105_105 = e23)
% 18.91/4.84 | (512) all_0_105_105 = e22
% 18.91/4.84 |
% 18.91/4.84 | Equations (512) can reduce 97 to:
% 18.91/4.84 | (513) ~ (all_0_108_108 = e22)
% 18.91/4.84 |
% 18.91/4.84 | Simplifying 513 yields:
% 18.91/4.84 | (514) ~ (all_0_108_108 = e22)
% 18.91/4.84 |
% 18.91/4.84 | Equations (512) can reduce 236 to:
% 18.91/4.84 | (241) ~ (e22 = e21)
% 18.91/4.84 |
% 18.91/4.84 | Equations (512) can reduce 168 to:
% 18.91/4.84 | (111) ~ (e22 = e20)
% 18.91/4.84 |
% 18.91/4.84 | From (512) and (100) follows:
% 18.91/4.84 | (517) op2(e21, e22) = e22
% 18.91/4.84 |
% 18.91/4.84 +-Applying beta-rule and splitting (261), into two cases.
% 18.91/4.84 |-Branch one:
% 18.91/4.84 | (457) all_0_108_108 = e20
% 18.91/4.84 |
% 18.91/4.84 | Equations (457) can reduce 403 to:
% 18.91/4.84 | (392) $false
% 18.91/4.84 |
% 18.91/4.84 |-The branch is then unsatisfiable
% 18.91/4.84 |-Branch two:
% 18.91/4.84 | (403) ~ (all_0_108_108 = e20)
% 18.91/4.84 | (521) all_0_108_108 = e23 | all_0_108_108 = e22
% 18.91/4.84 |
% 18.91/4.84 +-Applying beta-rule and splitting (521), into two cases.
% 18.91/4.84 |-Branch one:
% 18.91/4.84 | (522) all_0_108_108 = e23
% 18.91/4.84 |
% 18.91/4.84 | Equations (522) can reduce 514 to:
% 18.91/4.84 | (31) ~ (e23 = e22)
% 18.91/4.84 |
% 18.91/4.84 | From (522) and (190) follows:
% 18.91/4.84 | (524) op2(e20, e22) = e23
% 18.91/4.84 |
% 18.91/4.84 +-Applying beta-rule and splitting (105), into two cases.
% 18.91/4.84 |-Branch one:
% 18.91/4.84 | (525) all_0_101_101 = e22
% 18.91/4.84 |
% 18.91/4.84 | Combining equations (436,525) yields a new equation:
% 18.91/4.84 | (526) e23 = e22
% 18.91/4.84 |
% 18.91/4.84 | Simplifying 526 yields:
% 18.91/4.84 | (527) e23 = e22
% 18.91/4.84 |
% 18.91/4.84 | Equations (527) can reduce 31 to:
% 18.91/4.84 | (392) $false
% 18.91/4.84 |
% 18.91/4.84 |-The branch is then unsatisfiable
% 18.91/4.84 |-Branch two:
% 18.91/4.84 | (409) ~ (all_0_101_101 = e22)
% 18.91/4.84 | (530) all_0_103_103 = e22 | all_0_106_106 = e22 | all_0_110_110 = e22
% 18.91/4.84 |
% 18.91/4.84 | Equations (436) can reduce 409 to:
% 18.91/4.84 | (31) ~ (e23 = e22)
% 18.91/4.84 |
% 18.91/4.84 +-Applying beta-rule and splitting (242), into two cases.
% 18.91/4.84 |-Branch one:
% 18.91/4.84 | (532) all_0_107_107 = e22
% 18.91/4.84 |
% 18.91/4.84 | Combining equations (532,401) yields a new equation:
% 18.91/4.84 | (424) e22 = e20
% 18.91/4.84 |
% 18.91/4.84 | Simplifying 424 yields:
% 18.91/4.84 | (425) e22 = e20
% 18.91/4.84 |
% 18.91/4.84 | Equations (425) can reduce 111 to:
% 18.91/4.84 | (392) $false
% 18.91/4.84 |
% 18.91/4.84 |-The branch is then unsatisfiable
% 18.91/4.84 |-Branch two:
% 18.91/4.84 | (536) ~ (all_0_107_107 = e22)
% 18.91/4.84 | (537) all_0_108_108 = e22 | all_0_109_109 = e22 | all_0_110_110 = e22
% 18.91/4.84 |
% 18.91/4.84 +-Applying beta-rule and splitting (537), into two cases.
% 18.91/4.84 |-Branch one:
% 18.91/4.84 | (450) all_0_108_108 = e22
% 18.91/4.84 |
% 18.91/4.84 | Combining equations (522,450) yields a new equation:
% 18.91/4.84 | (526) e23 = e22
% 18.91/4.84 |
% 18.91/4.84 | Simplifying 526 yields:
% 18.91/4.84 | (527) e23 = e22
% 18.91/4.84 |
% 18.91/4.84 | Equations (527) can reduce 31 to:
% 18.91/4.84 | (392) $false
% 18.91/4.84 |
% 18.91/4.84 |-The branch is then unsatisfiable
% 18.91/4.84 |-Branch two:
% 18.91/4.84 | (514) ~ (all_0_108_108 = e22)
% 18.91/4.84 | (543) all_0_109_109 = e22 | all_0_110_110 = e22
% 18.91/4.84 |
% 18.91/4.84 +-Applying beta-rule and splitting (543), into two cases.
% 18.91/4.84 |-Branch one:
% 18.91/4.84 | (544) all_0_109_109 = e22
% 18.91/4.84 |
% 18.91/4.84 | Combining equations (544,462) yields a new equation:
% 18.91/4.84 | (545) e22 = e21
% 18.91/4.84 |
% 18.91/4.84 | Simplifying 545 yields:
% 18.91/4.84 | (433) e22 = e21
% 18.91/4.84 |
% 18.91/4.84 | Equations (433) can reduce 241 to:
% 18.91/4.84 | (392) $false
% 18.91/4.84 |
% 18.91/4.84 |-The branch is then unsatisfiable
% 18.91/4.84 |-Branch two:
% 18.91/4.84 | (411) ~ (all_0_109_109 = e22)
% 18.91/4.84 | (549) all_0_110_110 = e22
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (37) follows:
% 18.91/4.84 | (550) h1(e11) = e22
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (86) follows:
% 18.91/4.84 | (551) op2(all_0_96_96, e22) = all_0_70_70
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (22) follows:
% 18.91/4.84 | (552) op2(all_0_97_97, e22) = all_0_90_90
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (41) follows:
% 18.91/4.84 | (553) op2(e22, all_0_96_96) = all_0_79_79
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (26) follows:
% 18.91/4.84 | (554) op2(e22, all_0_97_97) = all_0_84_84
% 18.91/4.84 |
% 18.91/4.84 | From (549)(549) and (250) follows:
% 18.91/4.84 | (555) op2(e22, e22) = all_0_97_97
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (473) follows:
% 18.91/4.84 | (556) op2(e22, e21) = all_0_58_58
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (74) follows:
% 18.91/4.84 | (557) op2(e22, e21) = all_0_60_60
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (301) follows:
% 18.91/4.84 | (558) op2(e22, e20) = all_0_81_81
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (470) follows:
% 18.91/4.84 | (559) op2(e21, e22) = all_0_47_47
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (19) follows:
% 18.91/4.84 | (560) op2(e21, e22) = all_0_51_51
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (330) follows:
% 18.91/4.84 | (561) op2(e20, e22) = all_0_96_96
% 18.91/4.84 |
% 18.91/4.84 | From (549) and (51) follows:
% 18.91/4.84 | (562) op2(e20, e20) = e22
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e23, e21, e22, all_0_94_94 and discharging atoms op2(e23, e21) = all_0_94_94, op2(e23, e21) = e22, yields:
% 18.91/4.84 | (563) all_0_94_94 = e22
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e22, e22, all_0_97_97, e21 and discharging atoms op2(e22, e22) = all_0_97_97, op2(e22, e22) = e21, yields:
% 18.91/4.84 | (564) all_0_97_97 = e21
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e22, e21, all_0_58_58, e23 and discharging atoms op2(e22, e21) = all_0_58_58, op2(e22, e21) = e23, yields:
% 18.91/4.84 | (565) all_0_58_58 = e23
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e22, e21, all_0_60_60, all_0_58_58 and discharging atoms op2(e22, e21) = all_0_58_58, op2(e22, e21) = all_0_60_60, yields:
% 18.91/4.84 | (566) all_0_58_58 = all_0_60_60
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e22, e20, all_0_81_81, e20 and discharging atoms op2(e22, e20) = all_0_81_81, op2(e22, e20) = e20, yields:
% 18.91/4.84 | (567) all_0_81_81 = e20
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e21, e23, e23, all_0_15_15 and discharging atoms op2(e21, e23) = all_0_15_15, op2(e21, e23) = e23, yields:
% 18.91/4.84 | (568) all_0_15_15 = e23
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e21, e22, all_0_51_51, all_0_47_47 and discharging atoms op2(e21, e22) = all_0_47_47, op2(e21, e22) = all_0_51_51, yields:
% 18.91/4.84 | (569) all_0_47_47 = all_0_51_51
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e21, e22, e22, all_0_47_47 and discharging atoms op2(e21, e22) = all_0_47_47, op2(e21, e22) = e22, yields:
% 18.91/4.84 | (570) all_0_47_47 = e22
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e21, e21, all_0_41_41, e20 and discharging atoms op2(e21, e21) = all_0_41_41, op2(e21, e21) = e20, yields:
% 18.91/4.84 | (571) all_0_41_41 = e20
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e21, e21, all_0_43_43, all_0_41_41 and discharging atoms op2(e21, e21) = all_0_41_41, op2(e21, e21) = all_0_43_43, yields:
% 18.91/4.84 | (572) all_0_41_41 = all_0_43_43
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e21, e21, all_0_49_49, all_0_43_43 and discharging atoms op2(e21, e21) = all_0_43_43, op2(e21, e21) = all_0_49_49, yields:
% 18.91/4.84 | (573) all_0_43_43 = all_0_49_49
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e21, e21, all_0_95_95, all_0_49_49 and discharging atoms op2(e21, e21) = all_0_49_49, op2(e21, e21) = all_0_95_95, yields:
% 18.91/4.84 | (574) all_0_49_49 = all_0_95_95
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e21, e20, e21, all_0_45_45 and discharging atoms op2(e21, e20) = all_0_45_45, op2(e21, e20) = e21, yields:
% 18.91/4.84 | (575) all_0_45_45 = e21
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e20, e22, e23, all_0_96_96 and discharging atoms op2(e20, e22) = all_0_96_96, op2(e20, e22) = e23, yields:
% 18.91/4.84 | (576) all_0_96_96 = e23
% 18.91/4.84 |
% 18.91/4.84 | Instantiating formula (64) with e20, e21, e21, all_0_53_53 and discharging atoms op2(e20, e21) = all_0_53_53, op2(e20, e21) = e21, yields:
% 18.91/4.84 | (577) all_0_53_53 = e21
% 18.91/4.84 |
% 18.91/4.84 | Combining equations (572,571) yields a new equation:
% 18.91/4.84 | (578) all_0_43_43 = e20
% 18.91/4.84 |
% 18.91/4.84 | Simplifying 578 yields:
% 18.91/4.84 | (579) all_0_43_43 = e20
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (573,579) yields a new equation:
% 18.91/4.85 | (580) all_0_49_49 = e20
% 18.91/4.85 |
% 18.91/4.85 | Simplifying 580 yields:
% 18.91/4.85 | (581) all_0_49_49 = e20
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (569,570) yields a new equation:
% 18.91/4.85 | (582) all_0_51_51 = e22
% 18.91/4.85 |
% 18.91/4.85 | Simplifying 582 yields:
% 18.91/4.85 | (583) all_0_51_51 = e22
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (574,581) yields a new equation:
% 18.91/4.85 | (584) all_0_95_95 = e20
% 18.91/4.85 |
% 18.91/4.85 | Simplifying 584 yields:
% 18.91/4.85 | (585) all_0_95_95 = e20
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (565,566) yields a new equation:
% 18.91/4.85 | (586) all_0_60_60 = e23
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (564,368) yields a new equation:
% 18.91/4.85 | (587) all_0_83_83 = e21
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (576,367) yields a new equation:
% 18.91/4.85 | (588) all_0_76_76 = e23
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (585,360) yields a new equation:
% 18.91/4.85 | (589) all_0_17_17 = e20
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (563,364) yields a new equation:
% 18.91/4.85 | (590) all_0_10_10 = e22
% 18.91/4.85 |
% 18.91/4.85 | From (576) and (181) follows:
% 18.91/4.85 | (591) h1(e13) = e23
% 18.91/4.85 |
% 18.91/4.85 | From (564) and (322) follows:
% 18.91/4.85 | (592) h1(e10) = e21
% 18.91/4.85 |
% 18.91/4.85 | From (563) and (158) follows:
% 18.91/4.85 | (593) h4(e13) = e22
% 18.91/4.85 |
% 18.91/4.85 | From (585) and (279) follows:
% 18.91/4.85 | (594) h4(e10) = e20
% 18.91/4.85 |
% 18.91/4.85 | From (563)(563) and (343) follows:
% 18.91/4.85 | (595) op2(e22, e22) = all_0_0_0
% 18.91/4.85 |
% 18.91/4.85 | From (563)(585) and (87) follows:
% 18.91/4.85 | (596) op2(e22, e20) = all_0_6_6
% 18.91/4.85 |
% 18.91/4.85 | From (563) and (103) follows:
% 18.91/4.85 | (597) op2(e22, e23) = all_0_2_2
% 18.91/4.85 |
% 18.91/4.85 | From (563) and (497) follows:
% 18.91/4.85 | (598) op2(e22, e21) = all_0_4_4
% 18.91/4.85 |
% 18.91/4.85 | From (585)(563) and (203) follows:
% 18.91/4.85 | (599) op2(e20, e22) = all_0_20_20
% 18.91/4.85 |
% 18.91/4.85 | From (585)(585) and (180) follows:
% 18.91/4.85 | (600) op2(e20, e20) = all_0_26_26
% 18.91/4.85 |
% 18.91/4.85 | From (585) and (291) follows:
% 18.91/4.85 | (601) op2(e20, e23) = all_0_22_22
% 18.91/4.85 |
% 18.91/4.85 | From (585) and (498) follows:
% 18.91/4.85 | (602) op2(e20, e21) = all_0_24_24
% 18.91/4.85 |
% 18.91/4.85 | From (576)(576) and (114) follows:
% 18.91/4.85 | (603) op2(e23, e23) = all_0_66_66
% 18.91/4.85 |
% 18.91/4.85 | From (576)(564) and (316) follows:
% 18.91/4.85 | (604) op2(e23, e21) = all_0_72_72
% 18.91/4.85 |
% 18.91/4.85 | From (576) and (551) follows:
% 18.91/4.85 | (605) op2(e23, e22) = all_0_70_70
% 18.91/4.85 |
% 18.91/4.85 | From (576) and (348) follows:
% 18.91/4.85 | (606) op2(e23, e20) = all_0_68_68
% 18.91/4.85 |
% 18.91/4.85 | From (564)(576) and (185) follows:
% 18.91/4.85 | (607) op2(e21, e23) = all_0_86_86
% 18.91/4.85 |
% 18.91/4.85 | From (564)(564) and (144) follows:
% 18.91/4.85 | (608) op2(e21, e21) = all_0_92_92
% 18.91/4.85 |
% 18.91/4.85 | From (564) and (552) follows:
% 18.91/4.85 | (609) op2(e21, e22) = all_0_90_90
% 18.91/4.85 |
% 18.91/4.85 | From (564) and (142) follows:
% 18.91/4.85 | (610) op2(e21, e20) = all_0_88_88
% 18.91/4.85 |
% 18.91/4.85 | From (563) and (253) follows:
% 18.91/4.85 | (611) op2(e23, e22) = all_0_8_8
% 18.91/4.85 |
% 18.91/4.85 | From (585) and (329) follows:
% 18.91/4.85 | (612) op2(e23, e20) = all_0_11_11
% 18.91/4.85 |
% 18.91/4.85 | From (563) and (503) follows:
% 18.91/4.85 | (413) op2(e23, e21) = e22
% 18.91/4.85 |
% 18.91/4.85 | From (576) and (553) follows:
% 18.91/4.85 | (614) op2(e22, e23) = all_0_79_79
% 18.91/4.85 |
% 18.91/4.85 | From (564) and (554) follows:
% 18.91/4.85 | (615) op2(e22, e21) = all_0_84_84
% 18.91/4.85 |
% 18.91/4.85 | From (564) and (555) follows:
% 18.91/4.85 | (313) op2(e22, e22) = e21
% 18.91/4.85 |
% 18.91/4.85 | From (586) and (557) follows:
% 18.91/4.85 | (175) op2(e22, e21) = e23
% 18.91/4.85 |
% 18.91/4.85 | From (567) and (558) follows:
% 18.91/4.85 | (390) op2(e22, e20) = e20
% 18.91/4.85 |
% 18.91/4.85 | From (563) and (499) follows:
% 18.91/4.85 | (619) op2(e21, e22) = all_0_13_13
% 18.91/4.85 |
% 18.91/4.85 | From (585) and (500) follows:
% 18.91/4.85 | (620) op2(e21, e20) = all_0_18_18
% 18.91/4.85 |
% 18.91/4.85 | From (568) and (502) follows:
% 18.91/4.85 | (508) op2(e21, e23) = e23
% 18.91/4.85 |
% 18.91/4.85 | From (583) and (560) follows:
% 18.91/4.85 | (517) op2(e21, e22) = e22
% 18.91/4.85 |
% 18.91/4.85 | From (585) and (501) follows:
% 18.91/4.85 | (234) op2(e21, e21) = e20
% 18.91/4.85 |
% 18.91/4.85 | From (575) and (472) follows:
% 18.91/4.85 | (475) op2(e21, e20) = e21
% 18.91/4.85 |
% 18.91/4.85 | From (576) and (108) follows:
% 18.91/4.85 | (625) op2(e20, e23) = all_0_74_74
% 18.91/4.85 |
% 18.91/4.85 | From (564) and (170) follows:
% 18.91/4.85 | (626) op2(e20, e21) = all_0_77_77
% 18.91/4.85 |
% 18.91/4.85 | From (576) and (561) follows:
% 18.91/4.85 | (524) op2(e20, e22) = e23
% 18.91/4.85 |
% 18.91/4.85 | From (577) and (476) follows:
% 18.91/4.85 | (477) op2(e20, e21) = e21
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e23, e23, all_0_66_66, e21 and discharging atoms op2(e23, e23) = all_0_66_66, op2(e23, e23) = e21, yields:
% 18.91/4.85 | (629) all_0_66_66 = e21
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e23, e22, all_0_8_8, e20 and discharging atoms op2(e23, e22) = all_0_8_8, op2(e23, e22) = e20, yields:
% 18.91/4.85 | (630) all_0_8_8 = e20
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e23, e22, all_0_70_70, all_0_8_8 and discharging atoms op2(e23, e22) = all_0_8_8, op2(e23, e22) = all_0_70_70, yields:
% 18.91/4.85 | (631) all_0_8_8 = all_0_70_70
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e23, e21, all_0_72_72, e22 and discharging atoms op2(e23, e21) = all_0_72_72, op2(e23, e21) = e22, yields:
% 18.91/4.85 | (632) all_0_72_72 = e22
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e23, e20, all_0_11_11, e23 and discharging atoms op2(e23, e20) = all_0_11_11, op2(e23, e20) = e23, yields:
% 18.91/4.85 | (633) all_0_11_11 = e23
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e23, e20, all_0_68_68, all_0_11_11 and discharging atoms op2(e23, e20) = all_0_11_11, op2(e23, e20) = all_0_68_68, yields:
% 18.91/4.85 | (634) all_0_11_11 = all_0_68_68
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e22, e23, all_0_2_2, e22 and discharging atoms op2(e22, e23) = all_0_2_2, op2(e22, e23) = e22, yields:
% 18.91/4.85 | (635) all_0_2_2 = e22
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e22, e23, all_0_79_79, all_0_2_2 and discharging atoms op2(e22, e23) = all_0_2_2, op2(e22, e23) = all_0_79_79, yields:
% 18.91/4.85 | (636) all_0_2_2 = all_0_79_79
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e22, e22, all_0_0_0, e21 and discharging atoms op2(e22, e22) = all_0_0_0, op2(e22, e22) = e21, yields:
% 18.91/4.85 | (637) all_0_0_0 = e21
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e22, e21, all_0_4_4, e23 and discharging atoms op2(e22, e21) = all_0_4_4, op2(e22, e21) = e23, yields:
% 18.91/4.85 | (638) all_0_4_4 = e23
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e22, e21, all_0_84_84, all_0_4_4 and discharging atoms op2(e22, e21) = all_0_4_4, op2(e22, e21) = all_0_84_84, yields:
% 18.91/4.85 | (639) all_0_4_4 = all_0_84_84
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e22, e20, all_0_6_6, e20 and discharging atoms op2(e22, e20) = all_0_6_6, op2(e22, e20) = e20, yields:
% 18.91/4.85 | (640) all_0_6_6 = e20
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e21, e23, all_0_86_86, e23 and discharging atoms op2(e21, e23) = all_0_86_86, op2(e21, e23) = e23, yields:
% 18.91/4.85 | (641) all_0_86_86 = e23
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e21, e22, all_0_13_13, e22 and discharging atoms op2(e21, e22) = all_0_13_13, op2(e21, e22) = e22, yields:
% 18.91/4.85 | (642) all_0_13_13 = e22
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e21, e22, all_0_90_90, all_0_13_13 and discharging atoms op2(e21, e22) = all_0_13_13, op2(e21, e22) = all_0_90_90, yields:
% 18.91/4.85 | (643) all_0_13_13 = all_0_90_90
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e21, e21, all_0_92_92, e20 and discharging atoms op2(e21, e21) = all_0_92_92, op2(e21, e21) = e20, yields:
% 18.91/4.85 | (644) all_0_92_92 = e20
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e21, e20, all_0_18_18, e21 and discharging atoms op2(e21, e20) = all_0_18_18, op2(e21, e20) = e21, yields:
% 18.91/4.85 | (645) all_0_18_18 = e21
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e21, e20, all_0_88_88, all_0_18_18 and discharging atoms op2(e21, e20) = all_0_18_18, op2(e21, e20) = all_0_88_88, yields:
% 18.91/4.85 | (646) all_0_18_18 = all_0_88_88
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e20, e23, all_0_22_22, e20 and discharging atoms op2(e20, e23) = all_0_22_22, op2(e20, e23) = e20, yields:
% 18.91/4.85 | (647) all_0_22_22 = e20
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e20, e23, all_0_74_74, all_0_22_22 and discharging atoms op2(e20, e23) = all_0_22_22, op2(e20, e23) = all_0_74_74, yields:
% 18.91/4.85 | (648) all_0_22_22 = all_0_74_74
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e20, e22, all_0_20_20, e23 and discharging atoms op2(e20, e22) = all_0_20_20, op2(e20, e22) = e23, yields:
% 18.91/4.85 | (649) all_0_20_20 = e23
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e20, e21, all_0_24_24, e21 and discharging atoms op2(e20, e21) = all_0_24_24, op2(e20, e21) = e21, yields:
% 18.91/4.85 | (650) all_0_24_24 = e21
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e20, e21, all_0_77_77, all_0_24_24 and discharging atoms op2(e20, e21) = all_0_24_24, op2(e20, e21) = all_0_77_77, yields:
% 18.91/4.85 | (651) all_0_24_24 = all_0_77_77
% 18.91/4.85 |
% 18.91/4.85 | Instantiating formula (64) with e20, e20, all_0_26_26, e22 and discharging atoms op2(e20, e20) = all_0_26_26, op2(e20, e20) = e22, yields:
% 18.91/4.85 | (652) all_0_26_26 = e22
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (635,636) yields a new equation:
% 18.91/4.85 | (653) all_0_79_79 = e22
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (638,639) yields a new equation:
% 18.91/4.85 | (654) all_0_84_84 = e23
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (630,631) yields a new equation:
% 18.91/4.85 | (655) all_0_70_70 = e20
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (634,633) yields a new equation:
% 18.91/4.85 | (656) all_0_68_68 = e23
% 18.91/4.85 |
% 18.91/4.85 | Simplifying 656 yields:
% 18.91/4.85 | (657) all_0_68_68 = e23
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (642,643) yields a new equation:
% 18.91/4.85 | (658) all_0_90_90 = e22
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (645,646) yields a new equation:
% 18.91/4.85 | (659) all_0_88_88 = e21
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (648,647) yields a new equation:
% 18.91/4.85 | (660) all_0_74_74 = e20
% 18.91/4.85 |
% 18.91/4.85 | Simplifying 660 yields:
% 18.91/4.85 | (661) all_0_74_74 = e20
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (650,651) yields a new equation:
% 18.91/4.85 | (662) all_0_77_77 = e21
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (662,651) yields a new equation:
% 18.91/4.85 | (650) all_0_24_24 = e21
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (659,646) yields a new equation:
% 18.91/4.85 | (645) all_0_18_18 = e21
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (658,643) yields a new equation:
% 18.91/4.85 | (642) all_0_13_13 = e22
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (655,631) yields a new equation:
% 18.91/4.85 | (630) all_0_8_8 = e20
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (654,639) yields a new equation:
% 18.91/4.85 | (638) all_0_4_4 = e23
% 18.91/4.85 |
% 18.91/4.85 | Combining equations (653,636) yields a new equation:
% 18.91/4.85 | (635) all_0_2_2 = e22
% 18.91/4.85 |
% 18.91/4.85 +-Applying beta-rule and splitting (125), into two cases.
% 18.91/4.85 |-Branch one:
% 18.91/4.85 | (669) all_0_115_115 = e10
% 18.91/4.85 |
% 18.91/4.85 | Equations (669) can reduce 286 to:
% 18.91/4.85 | (670) ~ (all_0_111_111 = e10)
% 18.91/4.85 |
% 18.91/4.85 | Equations (669) can reduce 152 to:
% 18.91/4.85 | (671) ~ (all_0_117_117 = e10)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 671 yields:
% 18.91/4.86 | (219) ~ (all_0_117_117 = e10)
% 18.91/4.86 |
% 18.91/4.86 | Equations (669) can reduce 256 to:
% 18.91/4.86 | (673) ~ (all_0_120_120 = e10)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 673 yields:
% 18.91/4.86 | (674) ~ (all_0_120_120 = e10)
% 18.91/4.86 |
% 18.91/4.86 | Equations (669) can reduce 121 to:
% 18.91/4.86 | (675) ~ (e13 = e10)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 675 yields:
% 18.91/4.86 | (189) ~ (e13 = e10)
% 18.91/4.86 |
% 18.91/4.86 | From (669) and (216) follows:
% 18.91/4.86 | (677) h4(e10) = all_0_9_9
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (340), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (678) all_0_115_115 = e12
% 18.91/4.86 |
% 18.91/4.86 | Combining equations (669,678) yields a new equation:
% 18.91/4.86 | (679) e12 = e10
% 18.91/4.86 |
% 18.91/4.86 | Equations (679) can reduce 147 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.86 | (681) ~ (all_0_115_115 = e12)
% 18.91/4.86 | (682) all_0_116_116 = e12
% 18.91/4.86 |
% 18.91/4.86 | Equations (682) can reduce 195 to:
% 18.91/4.86 | (683) ~ (all_0_114_114 = e12)
% 18.91/4.86 |
% 18.91/4.86 | Equations (682) can reduce 78 to:
% 18.91/4.86 | (684) ~ (all_0_119_119 = e12)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 684 yields:
% 18.91/4.86 | (685) ~ (all_0_119_119 = e12)
% 18.91/4.86 |
% 18.91/4.86 | Equations (682) can reduce 126 to:
% 18.91/4.86 | (686) ~ (all_0_123_123 = e12)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 686 yields:
% 18.91/4.86 | (687) ~ (all_0_123_123 = e12)
% 18.91/4.86 |
% 18.91/4.86 | From (682) and (315) follows:
% 18.91/4.86 | (688) h4(e12) = all_0_12_12
% 18.91/4.86 |
% 18.91/4.86 | Instantiating formula (32) with e12, all_0_12_12, e23 and discharging atoms h4(e12) = all_0_12_12, h4(e12) = e23, yields:
% 18.91/4.86 | (689) all_0_12_12 = e23
% 18.91/4.86 |
% 18.91/4.86 | Instantiating formula (32) with e10, all_0_9_9, e20 and discharging atoms h4(e10) = all_0_9_9, h4(e10) = e20, yields:
% 18.91/4.86 | (690) all_0_9_9 = e20
% 18.91/4.86 |
% 18.91/4.86 | From (689) and (688) follows:
% 18.91/4.86 | (176) h4(e12) = e23
% 18.91/4.86 |
% 18.91/4.86 | From (690) and (677) follows:
% 18.91/4.86 | (594) h4(e10) = e20
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (338), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (693) all_0_113_113 = e12
% 18.91/4.86 |
% 18.91/4.86 | Equations (693) can reduce 305 to:
% 18.91/4.86 | (694) ~ (all_0_112_112 = e12)
% 18.91/4.86 |
% 18.91/4.86 | Equations (693) can reduce 200 to:
% 18.91/4.86 | (695) ~ (all_0_122_122 = e12)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 695 yields:
% 18.91/4.86 | (696) ~ (all_0_122_122 = e12)
% 18.91/4.86 |
% 18.91/4.86 | Equations (693) can reduce 323 to:
% 18.91/4.86 | (147) ~ (e12 = e10)
% 18.91/4.86 |
% 18.91/4.86 | From (693) and (245) follows:
% 18.91/4.86 | (698) h4(e12) = all_0_5_5
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (182), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (699) all_0_122_122 = e12
% 18.91/4.86 |
% 18.91/4.86 | Equations (699) can reduce 696 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.86 | (696) ~ (all_0_122_122 = e12)
% 18.91/4.86 | (702) all_0_122_122 = e11
% 18.91/4.86 |
% 18.91/4.86 | Equations (702) can reduce 140 to:
% 18.91/4.86 | (23) ~ (all_0_121_121 = e11)
% 18.91/4.86 |
% 18.91/4.86 | Equations (702) can reduce 118 to:
% 18.91/4.86 | (704) ~ (all_0_123_123 = e11)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 704 yields:
% 18.91/4.86 | (705) ~ (all_0_123_123 = e11)
% 18.91/4.86 |
% 18.91/4.86 | Equations (702) can reduce 696 to:
% 18.91/4.86 | (706) ~ (e12 = e11)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 706 yields:
% 18.91/4.86 | (299) ~ (e12 = e11)
% 18.91/4.86 |
% 18.91/4.86 | From (702) and (227) follows:
% 18.91/4.86 | (708) h4(e11) = all_0_25_25
% 18.91/4.86 |
% 18.91/4.86 | Instantiating formula (32) with e12, all_0_5_5, e23 and discharging atoms h4(e12) = all_0_5_5, h4(e12) = e23, yields:
% 18.91/4.86 | (709) all_0_5_5 = e23
% 18.91/4.86 |
% 18.91/4.86 | Instantiating formula (32) with e11, all_0_25_25, e21 and discharging atoms h4(e11) = all_0_25_25, h4(e11) = e21, yields:
% 18.91/4.86 | (710) all_0_25_25 = e21
% 18.91/4.86 |
% 18.91/4.86 | From (709) and (698) follows:
% 18.91/4.86 | (176) h4(e12) = e23
% 18.91/4.86 |
% 18.91/4.86 | From (710) and (708) follows:
% 18.91/4.86 | (496) h4(e11) = e21
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (124), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (713) all_0_112_112 = e10
% 18.91/4.86 |
% 18.91/4.86 | Equations (713) can reduce 207 to:
% 18.91/4.86 | (714) ~ (all_0_114_114 = e10)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 714 yields:
% 18.91/4.86 | (715) ~ (all_0_114_114 = e10)
% 18.91/4.86 |
% 18.91/4.86 | Equations (713) can reduce 694 to:
% 18.91/4.86 | (716) ~ (e12 = e10)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 716 yields:
% 18.91/4.86 | (147) ~ (e12 = e10)
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (71), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (718) all_0_114_114 = e10
% 18.91/4.86 |
% 18.91/4.86 | Equations (718) can reduce 715 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.86 | (715) ~ (all_0_114_114 = e10)
% 18.91/4.86 | (721) all_0_116_116 = e10 | all_0_123_123 = e10
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (721), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (722) all_0_116_116 = e10
% 18.91/4.86 |
% 18.91/4.86 | Combining equations (722,682) yields a new equation:
% 18.91/4.86 | (679) e12 = e10
% 18.91/4.86 |
% 18.91/4.86 | Equations (679) can reduce 147 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.86 | (725) ~ (all_0_116_116 = e10)
% 18.91/4.86 | (726) all_0_123_123 = e10
% 18.91/4.86 |
% 18.91/4.86 | Equations (726) can reduce 35 to:
% 18.91/4.86 | (674) ~ (all_0_120_120 = e10)
% 18.91/4.86 |
% 18.91/4.86 | Equations (726) can reduce 687 to:
% 18.91/4.86 | (716) ~ (e12 = e10)
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 716 yields:
% 18.91/4.86 | (147) ~ (e12 = e10)
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (230), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (730), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (731), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (732), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (733), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 18.91/4.86 |
% 18.91/4.86 +-Applying beta-rule and splitting (734), into two cases.
% 18.91/4.86 |-Branch one:
% 18.91/4.86 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 18.91/4.86 |
% 18.91/4.86 | Applying alpha-rule on (735) yields:
% 18.91/4.86 | (736) all_0_112_112 = e12
% 18.91/4.86 | (678) all_0_115_115 = e12
% 18.91/4.86 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.86 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 18.91/4.86 |
% 18.91/4.86 | Combining equations (669,678) yields a new equation:
% 18.91/4.86 | (679) e12 = e10
% 18.91/4.86 |
% 18.91/4.86 | Equations (679) can reduce 147 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.86 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 18.91/4.86 |
% 18.91/4.86 | Applying alpha-rule on (742) yields:
% 18.91/4.86 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 18.91/4.86 | (744) all_0_117_117 = e11
% 18.91/4.86 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 18.91/4.86 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.86 | (747) all_0_113_113 = e11
% 18.91/4.86 |
% 18.91/4.86 | Combining equations (693,747) yields a new equation:
% 18.91/4.86 | (748) e12 = e11
% 18.91/4.86 |
% 18.91/4.86 | Simplifying 748 yields:
% 18.91/4.86 | (749) e12 = e11
% 18.91/4.86 |
% 18.91/4.86 | Equations (749) can reduce 299 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.86 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 18.91/4.86 |
% 18.91/4.86 | Applying alpha-rule on (751) yields:
% 18.91/4.86 | (752) all_0_114_114 = e13
% 18.91/4.86 | (753) all_0_120_120 = e13
% 18.91/4.86 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.86 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 18.91/4.86 |
% 18.91/4.86 | Equations (726) can reduce 754 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.86 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 18.91/4.86 |
% 18.91/4.86 | Applying alpha-rule on (757) yields:
% 18.91/4.86 | (718) all_0_114_114 = e10
% 18.91/4.86 | (759) all_0_120_120 = e10
% 18.91/4.86 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.86 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 18.91/4.86 |
% 18.91/4.86 | Equations (759) can reduce 674 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.86 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 18.91/4.86 |
% 18.91/4.86 | Applying alpha-rule on (763) yields:
% 18.91/4.86 | (682) all_0_116_116 = e12
% 18.91/4.86 | (765) all_0_121_121 = e12
% 18.91/4.86 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.86 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 18.91/4.86 |
% 18.91/4.86 | Equations (726) can reduce 754 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.86 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 18.91/4.86 |
% 18.91/4.86 | Applying alpha-rule on (769) yields:
% 18.91/4.86 | (722) all_0_116_116 = e10
% 18.91/4.86 | (771) all_0_121_121 = e10
% 18.91/4.86 |
% 18.91/4.86 | Combining equations (722,682) yields a new equation:
% 18.91/4.86 | (679) e12 = e10
% 18.91/4.86 |
% 18.91/4.86 | Equations (679) can reduce 147 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.86 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 18.91/4.86 |
% 18.91/4.86 | Applying alpha-rule on (774) yields:
% 18.91/4.86 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 18.91/4.86 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.86 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 18.91/4.86 | (702) all_0_122_122 = e11
% 18.91/4.86 | (779) all_0_119_119 = e11
% 18.91/4.86 |
% 18.91/4.86 | Equations (726) can reduce 754 to:
% 18.91/4.86 | (392) $false
% 18.91/4.86 |
% 18.91/4.86 |-The branch is then unsatisfiable
% 18.91/4.86 |-Branch two:
% 18.91/4.87 | (781) ~ (all_0_112_112 = e10)
% 18.91/4.87 | (771) all_0_121_121 = e10
% 18.91/4.87 |
% 18.91/4.87 | Equations (771) can reduce 208 to:
% 18.91/4.87 | (781) ~ (all_0_112_112 = e10)
% 18.91/4.87 |
% 18.91/4.87 | Equations (771) can reduce 23 to:
% 18.91/4.87 | (784) ~ (e11 = e10)
% 18.91/4.87 |
% 18.91/4.87 | Simplifying 784 yields:
% 18.91/4.87 | (284) ~ (e11 = e10)
% 18.91/4.87 |
% 18.91/4.87 | From (771) and (331) follows:
% 18.91/4.87 | (786) h4(e10) = all_0_23_23
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (50), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (787) all_0_111_111 = e10
% 18.91/4.87 |
% 18.91/4.87 | Equations (787) can reduce 670 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (670) ~ (all_0_111_111 = e10)
% 18.91/4.87 | (790) all_0_112_112 = e10 | all_0_114_114 = e10
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (337), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (791) all_0_120_120 = e12
% 18.91/4.87 |
% 18.91/4.87 | Equations (791) can reduce 303 to:
% 18.91/4.87 | (792) ~ (all_0_117_117 = e12)
% 18.91/4.87 |
% 18.91/4.87 | From (791) and (127) follows:
% 18.91/4.87 | (793) h4(e12) = all_0_21_21
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (790), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (713) all_0_112_112 = e10
% 18.91/4.87 |
% 18.91/4.87 | Equations (713) can reduce 781 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (781) ~ (all_0_112_112 = e10)
% 18.91/4.87 | (718) all_0_114_114 = e10
% 18.91/4.87 |
% 18.91/4.87 | Equations (718) can reduce 207 to:
% 18.91/4.87 | (781) ~ (all_0_112_112 = e10)
% 18.91/4.87 |
% 18.91/4.87 | Equations (718) can reduce 359 to:
% 18.91/4.87 | (799) ~ (all_0_119_119 = e10)
% 18.91/4.87 |
% 18.91/4.87 | Simplifying 799 yields:
% 18.91/4.87 | (159) ~ (all_0_119_119 = e10)
% 18.91/4.87 |
% 18.91/4.87 | From (718) and (318) follows:
% 18.91/4.87 | (801) h4(e10) = all_0_7_7
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (251), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (802) all_0_114_114 = e11
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (718,802) yields a new equation:
% 18.91/4.87 | (803) e11 = e10
% 18.91/4.87 |
% 18.91/4.87 | Equations (803) can reduce 284 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (805) ~ (all_0_114_114 = e11)
% 18.91/4.87 | (806) all_0_119_119 = e11 | all_0_123_123 = e11
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (806), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (779) all_0_119_119 = e11
% 18.91/4.87 |
% 18.91/4.87 | Equations (779) can reduce 212 to:
% 18.91/4.87 | (153) ~ (all_0_118_118 = e11)
% 18.91/4.87 |
% 18.91/4.87 | Equations (779) can reduce 685 to:
% 18.91/4.87 | (706) ~ (e12 = e11)
% 18.91/4.87 |
% 18.91/4.87 | Simplifying 706 yields:
% 18.91/4.87 | (299) ~ (e12 = e11)
% 18.91/4.87 |
% 18.91/4.87 | Equations (779) can reduce 159 to:
% 18.91/4.87 | (284) ~ (e11 = e10)
% 18.91/4.87 |
% 18.91/4.87 | From (779) and (254) follows:
% 18.91/4.87 | (812) h4(e11) = all_0_19_19
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (102), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (813) all_0_117_117 = e12
% 18.91/4.87 |
% 18.91/4.87 | Equations (813) can reduce 792 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (792) ~ (all_0_117_117 = e12)
% 18.91/4.87 | (816) all_0_118_118 = e12 | all_0_119_119 = e12
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (123), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (817) all_0_117_117 = e13
% 18.91/4.87 |
% 18.91/4.87 | Equations (817) can reduce 244 to:
% 18.91/4.87 | (818) ~ (all_0_118_118 = e13)
% 18.91/4.87 |
% 18.91/4.87 | Simplifying 818 yields:
% 18.91/4.87 | (819) ~ (all_0_118_118 = e13)
% 18.91/4.87 |
% 18.91/4.87 | From (817) and (75) follows:
% 18.91/4.87 | (820) h4(e13) = all_0_14_14
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (321), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (821) all_0_118_118 = e13
% 18.91/4.87 |
% 18.91/4.87 | Equations (821) can reduce 819 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (819) ~ (all_0_118_118 = e13)
% 18.91/4.87 | (824) all_0_118_118 = e12
% 18.91/4.87 |
% 18.91/4.87 | Equations (824) can reduce 46 to:
% 18.91/4.87 | (694) ~ (all_0_112_112 = e12)
% 18.91/4.87 |
% 18.91/4.87 | Equations (824) can reduce 153 to:
% 18.91/4.87 | (299) ~ (e12 = e11)
% 18.91/4.87 |
% 18.91/4.87 | From (824) and (317) follows:
% 18.91/4.87 | (827) h4(e12) = all_0_16_16
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (354), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (828) all_0_112_112 = e13
% 18.91/4.87 |
% 18.91/4.87 | Equations (828) can reduce 694 to:
% 18.91/4.87 | (278) ~ (e13 = e12)
% 18.91/4.87 |
% 18.91/4.87 | Equations (828) can reduce 781 to:
% 18.91/4.87 | (189) ~ (e13 = e10)
% 18.91/4.87 |
% 18.91/4.87 | From (828) and (17) follows:
% 18.91/4.87 | (831) h4(e13) = all_0_3_3
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (43), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (832) all_0_123_123 = e13
% 18.91/4.87 |
% 18.91/4.87 | From (832) and (249) follows:
% 18.91/4.87 | (833) h4(e13) = all_0_27_27
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (172), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (834) all_0_111_111 = e11
% 18.91/4.87 |
% 18.91/4.87 | From (834) and (314) follows:
% 18.91/4.87 | (835) h4(e11) = all_0_1_1
% 18.91/4.87 |
% 18.91/4.87 | Instantiating formula (32) with e13, all_0_14_14, e22 and discharging atoms h4(e13) = all_0_14_14, h4(e13) = e22, yields:
% 18.91/4.87 | (836) all_0_14_14 = e22
% 18.91/4.87 |
% 18.91/4.87 | Instantiating formula (32) with e13, all_0_14_14, all_0_3_3 and discharging atoms h4(e13) = all_0_3_3, h4(e13) = all_0_14_14, yields:
% 18.91/4.87 | (837) all_0_3_3 = all_0_14_14
% 18.91/4.87 |
% 18.91/4.87 | Instantiating formula (32) with e13, all_0_27_27, all_0_3_3 and discharging atoms h4(e13) = all_0_3_3, h4(e13) = all_0_27_27, yields:
% 18.91/4.87 | (838) all_0_3_3 = all_0_27_27
% 18.91/4.87 |
% 18.91/4.87 | Instantiating formula (32) with e12, all_0_16_16, e23 and discharging atoms h4(e12) = all_0_16_16, h4(e12) = e23, yields:
% 18.91/4.87 | (839) all_0_16_16 = e23
% 18.91/4.87 |
% 18.91/4.87 | Instantiating formula (32) with e12, all_0_21_21, all_0_16_16 and discharging atoms h4(e12) = all_0_16_16, h4(e12) = all_0_21_21, yields:
% 18.91/4.87 | (840) all_0_16_16 = all_0_21_21
% 18.91/4.87 |
% 18.91/4.87 | Instantiating formula (32) with e11, all_0_1_1, e21 and discharging atoms h4(e11) = all_0_1_1, h4(e11) = e21, yields:
% 18.91/4.87 | (841) all_0_1_1 = e21
% 18.91/4.87 |
% 18.91/4.87 | Instantiating formula (32) with e11, all_0_19_19, all_0_1_1 and discharging atoms h4(e11) = all_0_1_1, h4(e11) = all_0_19_19, yields:
% 18.91/4.87 | (842) all_0_1_1 = all_0_19_19
% 18.91/4.87 |
% 18.91/4.87 | Instantiating formula (32) with e10, all_0_7_7, e20 and discharging atoms h4(e10) = all_0_7_7, h4(e10) = e20, yields:
% 18.91/4.87 | (843) all_0_7_7 = e20
% 18.91/4.87 |
% 18.91/4.87 | Instantiating formula (32) with e10, all_0_23_23, all_0_7_7 and discharging atoms h4(e10) = all_0_7_7, h4(e10) = all_0_23_23, yields:
% 18.91/4.87 | (844) all_0_7_7 = all_0_23_23
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (841,842) yields a new equation:
% 18.91/4.87 | (845) all_0_19_19 = e21
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (837,838) yields a new equation:
% 18.91/4.87 | (846) all_0_14_14 = all_0_27_27
% 18.91/4.87 |
% 18.91/4.87 | Simplifying 846 yields:
% 18.91/4.87 | (847) all_0_14_14 = all_0_27_27
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (843,844) yields a new equation:
% 18.91/4.87 | (848) all_0_23_23 = e20
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (836,847) yields a new equation:
% 18.91/4.87 | (849) all_0_27_27 = e22
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (839,840) yields a new equation:
% 18.91/4.87 | (850) all_0_21_21 = e23
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (850,840) yields a new equation:
% 18.91/4.87 | (839) all_0_16_16 = e23
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (849,847) yields a new equation:
% 18.91/4.87 | (836) all_0_14_14 = e22
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (848,844) yields a new equation:
% 18.91/4.87 | (843) all_0_7_7 = e20
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (849,838) yields a new equation:
% 18.91/4.87 | (854) all_0_3_3 = e22
% 18.91/4.87 |
% 18.91/4.87 | Combining equations (845,842) yields a new equation:
% 18.91/4.87 | (841) all_0_1_1 = e21
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (342), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (856) ~ (all_0_0_0 = all_0_1_1)
% 18.91/4.87 |
% 18.91/4.87 | Equations (637,841) can reduce 856 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (858) all_0_0_0 = all_0_1_1
% 18.91/4.87 | (859) ~ (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_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (859), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (860) ~ (all_0_2_2 = all_0_3_3)
% 18.91/4.87 |
% 18.91/4.87 | Equations (635,854) can reduce 860 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (862) all_0_2_2 = all_0_3_3
% 18.91/4.87 | (863) ~ (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_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (863), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (864) ~ (all_0_4_4 = all_0_5_5)
% 18.91/4.87 |
% 18.91/4.87 | Equations (638,709) can reduce 864 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (866) all_0_4_4 = all_0_5_5
% 18.91/4.87 | (867) ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (867), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (868) ~ (all_0_6_6 = all_0_7_7)
% 18.91/4.87 |
% 18.91/4.87 | Equations (640,843) can reduce 868 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (870) all_0_6_6 = all_0_7_7
% 18.91/4.87 | (871) ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (871), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (872) ~ (all_0_8_8 = all_0_9_9)
% 18.91/4.87 |
% 18.91/4.87 | Equations (630,690) can reduce 872 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (874) all_0_8_8 = all_0_9_9
% 18.91/4.87 | (875) ~ (all_0_10_10 = all_0_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.87 |
% 18.91/4.87 +-Applying beta-rule and splitting (875), into two cases.
% 18.91/4.87 |-Branch one:
% 18.91/4.87 | (876) ~ (all_0_10_10 = all_0_94_94)
% 18.91/4.87 |
% 18.91/4.87 | Equations (590,563) can reduce 876 to:
% 18.91/4.87 | (392) $false
% 18.91/4.87 |
% 18.91/4.87 |-The branch is then unsatisfiable
% 18.91/4.87 |-Branch two:
% 18.91/4.87 | (364) all_0_10_10 = all_0_94_94
% 18.91/4.87 | (879) ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.87 |
% 18.91/4.88 | Combining equations (364,590) yields a new equation:
% 18.91/4.88 | (880) all_0_94_94 = e22
% 18.91/4.88 |
% 18.91/4.88 | Simplifying 880 yields:
% 18.91/4.88 | (563) all_0_94_94 = e22
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (879), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (882) ~ (all_0_11_11 = all_0_12_12)
% 18.91/4.88 |
% 18.91/4.88 | Equations (633,689) can reduce 882 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (884) all_0_11_11 = all_0_12_12
% 18.91/4.88 | (885) ~ (all_0_13_13 = all_0_14_14) | ~ (all_0_15_15 = all_0_16_16) | ~ (all_0_17_17 = all_0_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (885), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (886) ~ (all_0_13_13 = all_0_14_14)
% 18.91/4.88 |
% 18.91/4.88 | Equations (642,836) can reduce 886 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (888) all_0_13_13 = all_0_14_14
% 18.91/4.88 | (889) ~ (all_0_15_15 = all_0_16_16) | ~ (all_0_17_17 = all_0_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (889), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (890) ~ (all_0_15_15 = all_0_16_16)
% 18.91/4.88 |
% 18.91/4.88 | Equations (568,839) can reduce 890 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (892) all_0_15_15 = all_0_16_16
% 18.91/4.88 | (893) ~ (all_0_17_17 = all_0_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (893), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (894) ~ (all_0_17_17 = all_0_95_95)
% 18.91/4.88 |
% 18.91/4.88 | Equations (589,585) can reduce 894 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (360) all_0_17_17 = all_0_95_95
% 18.91/4.88 | (897) ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.88 |
% 18.91/4.88 | Combining equations (360,589) yields a new equation:
% 18.91/4.88 | (584) all_0_95_95 = e20
% 18.91/4.88 |
% 18.91/4.88 | Simplifying 584 yields:
% 18.91/4.88 | (585) all_0_95_95 = e20
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (897), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (900) ~ (all_0_18_18 = all_0_19_19)
% 18.91/4.88 |
% 18.91/4.88 | Equations (645,845) can reduce 900 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (902) all_0_18_18 = all_0_19_19
% 18.91/4.88 | (903) ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (903), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (904) ~ (all_0_20_20 = all_0_21_21)
% 18.91/4.88 |
% 18.91/4.88 | Equations (649,850) can reduce 904 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (906) all_0_20_20 = all_0_21_21
% 18.91/4.88 | (907) ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (907), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (908) ~ (all_0_22_22 = all_0_23_23)
% 18.91/4.88 |
% 18.91/4.88 | Equations (647,848) can reduce 908 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (910) all_0_22_22 = all_0_23_23
% 18.91/4.88 | (911) ~ (all_0_24_24 = all_0_25_25) | ~ (all_0_26_26 = all_0_27_27) | ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (911), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (912) ~ (all_0_24_24 = all_0_25_25)
% 18.91/4.88 |
% 18.91/4.88 | Equations (650,710) can reduce 912 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (914) all_0_24_24 = all_0_25_25
% 18.91/4.88 | (915) ~ (all_0_26_26 = all_0_27_27) | ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (915), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (916) ~ (all_0_26_26 = all_0_27_27)
% 18.91/4.88 |
% 18.91/4.88 | Equations (652,849) can reduce 916 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (918) all_0_26_26 = all_0_27_27
% 18.91/4.88 | (919) ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (919), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (920) ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21))
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (920), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (921) ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)
% 18.91/4.88 |
% 18.91/4.88 | Applying alpha-rule on (921) yields:
% 18.91/4.88 | (922) ~ (all_0_94_94 = e22)
% 18.91/4.88 | (923) ~ (all_0_95_95 = e22)
% 18.91/4.88 | (395) ~ (all_0_98_98 = e22)
% 18.91/4.88 |
% 18.91/4.88 | Equations (563) can reduce 922 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (926) ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)
% 18.91/4.88 |
% 18.91/4.88 | Applying alpha-rule on (926) yields:
% 18.91/4.88 | (927) ~ (all_0_94_94 = e21)
% 18.91/4.88 | (928) ~ (all_0_95_95 = e21)
% 18.91/4.88 | (929) ~ (all_0_98_98 = e21)
% 18.91/4.88 |
% 18.91/4.88 | Equations (493) can reduce 929 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (931) ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20)
% 18.91/4.88 |
% 18.91/4.88 | Applying alpha-rule on (931) yields:
% 18.91/4.88 | (932) ~ (all_0_94_94 = e20)
% 18.91/4.88 | (933) ~ (all_0_95_95 = e20)
% 18.91/4.88 | (377) ~ (all_0_98_98 = e20)
% 18.91/4.88 |
% 18.91/4.88 | Equations (585) can reduce 933 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (936) ~ (all_0_111_111 = e11)
% 18.91/4.88 | (937) all_0_113_113 = e11 | all_0_114_114 = e11
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (937), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (747) all_0_113_113 = e11
% 18.91/4.88 |
% 18.91/4.88 | Combining equations (693,747) yields a new equation:
% 18.91/4.88 | (748) e12 = e11
% 18.91/4.88 |
% 18.91/4.88 | Simplifying 748 yields:
% 18.91/4.88 | (749) e12 = e11
% 18.91/4.88 |
% 18.91/4.88 | Equations (749) can reduce 299 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (942) ~ (all_0_113_113 = e11)
% 18.91/4.88 | (802) all_0_114_114 = e11
% 18.91/4.88 |
% 18.91/4.88 | Combining equations (718,802) yields a new equation:
% 18.91/4.88 | (803) e11 = e10
% 18.91/4.88 |
% 18.91/4.88 | Equations (803) can reduce 284 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (946) ~ (all_0_123_123 = e13)
% 18.91/4.88 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (264), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (752) all_0_114_114 = e13
% 18.91/4.88 |
% 18.91/4.88 | Combining equations (752,718) yields a new equation:
% 18.91/4.88 | (949) e13 = e10
% 18.91/4.88 |
% 18.91/4.88 | Simplifying 949 yields:
% 18.91/4.88 | (950) e13 = e10
% 18.91/4.88 |
% 18.91/4.88 | Equations (950) can reduce 189 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (952) ~ (all_0_114_114 = e13)
% 18.91/4.88 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 18.91/4.88 |
% 18.91/4.88 | Equations (718) can reduce 952 to:
% 18.91/4.88 | (675) ~ (e13 = e10)
% 18.91/4.88 |
% 18.91/4.88 | Simplifying 675 yields:
% 18.91/4.88 | (189) ~ (e13 = e10)
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (357), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (753) all_0_120_120 = e13
% 18.91/4.88 |
% 18.91/4.88 | Combining equations (791,753) yields a new equation:
% 18.91/4.88 | (957) e13 = e12
% 18.91/4.88 |
% 18.91/4.88 | Equations (957) can reduce 278 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (959) ~ (all_0_120_120 = e13)
% 18.91/4.88 | (960) all_0_121_121 = e13 | all_0_123_123 = e13
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (960), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (961) all_0_121_121 = e13
% 18.91/4.88 |
% 18.91/4.88 | Combining equations (771,961) yields a new equation:
% 18.91/4.88 | (950) e13 = e10
% 18.91/4.88 |
% 18.91/4.88 | Equations (950) can reduce 189 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (964) ~ (all_0_121_121 = e13)
% 18.91/4.88 | (832) all_0_123_123 = e13
% 18.91/4.88 |
% 18.91/4.88 | Equations (832) can reduce 946 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (967) ~ (all_0_112_112 = e13)
% 18.91/4.88 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (335), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (828) all_0_112_112 = e13
% 18.91/4.88 |
% 18.91/4.88 | Equations (828) can reduce 967 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (967) ~ (all_0_112_112 = e13)
% 18.91/4.88 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (972), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (736) all_0_112_112 = e12
% 18.91/4.88 |
% 18.91/4.88 | Equations (736) can reduce 694 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (694) ~ (all_0_112_112 = e12)
% 18.91/4.88 | (713) all_0_112_112 = e10
% 18.91/4.88 |
% 18.91/4.88 | Equations (713) can reduce 781 to:
% 18.91/4.88 | (392) $false
% 18.91/4.88 |
% 18.91/4.88 |-The branch is then unsatisfiable
% 18.91/4.88 |-Branch two:
% 18.91/4.88 | (978) ~ (all_0_117_117 = e13)
% 18.91/4.88 | (979) all_0_117_117 = e12 | all_0_117_117 = e11
% 18.91/4.88 |
% 18.91/4.88 +-Applying beta-rule and splitting (172), into two cases.
% 18.91/4.88 |-Branch one:
% 18.91/4.88 | (834) all_0_111_111 = e11
% 18.91/4.88 |
% 18.91/4.88 | Equations (834) can reduce 167 to:
% 18.91/4.88 | (981) ~ (all_0_117_117 = e11)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 981 yields:
% 18.91/4.89 | (982) ~ (all_0_117_117 = e11)
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (979), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (813) all_0_117_117 = e12
% 18.91/4.89 |
% 18.91/4.89 | Equations (813) can reduce 792 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (792) ~ (all_0_117_117 = e12)
% 18.91/4.89 | (744) all_0_117_117 = e11
% 18.91/4.89 |
% 18.91/4.89 | Equations (744) can reduce 982 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (936) ~ (all_0_111_111 = e11)
% 18.91/4.89 | (937) all_0_113_113 = e11 | all_0_114_114 = e11
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (937), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (747) all_0_113_113 = e11
% 18.91/4.89 |
% 18.91/4.89 | Combining equations (693,747) yields a new equation:
% 18.91/4.89 | (748) e12 = e11
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 748 yields:
% 18.91/4.89 | (749) e12 = e11
% 18.91/4.89 |
% 18.91/4.89 | Equations (749) can reduce 299 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (942) ~ (all_0_113_113 = e11)
% 18.91/4.89 | (802) all_0_114_114 = e11
% 18.91/4.89 |
% 18.91/4.89 | Combining equations (718,802) yields a new equation:
% 18.91/4.89 | (803) e11 = e10
% 18.91/4.89 |
% 18.91/4.89 | Equations (803) can reduce 284 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (998) ~ (all_0_119_119 = e11)
% 18.91/4.89 | (999) all_0_123_123 = e11
% 18.91/4.89 |
% 18.91/4.89 | Equations (999) can reduce 705 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (1001) ~ (all_0_120_120 = e12)
% 18.91/4.89 | (1002) all_0_121_121 = e12 | all_0_122_122 = e12 | all_0_123_123 = e12
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (1002), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (765) all_0_121_121 = e12
% 18.91/4.89 |
% 18.91/4.89 | Combining equations (765,771) yields a new equation:
% 18.91/4.89 | (1004) e12 = e10
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 1004 yields:
% 18.91/4.89 | (679) e12 = e10
% 18.91/4.89 |
% 18.91/4.89 | Equations (679) can reduce 147 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (1007) ~ (all_0_121_121 = e12)
% 18.91/4.89 | (1008) all_0_122_122 = e12 | all_0_123_123 = e12
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (1008), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (699) all_0_122_122 = e12
% 18.91/4.89 |
% 18.91/4.89 | Combining equations (702,699) yields a new equation:
% 18.91/4.89 | (749) e12 = e11
% 18.91/4.89 |
% 18.91/4.89 | Equations (749) can reduce 299 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (696) ~ (all_0_122_122 = e12)
% 18.91/4.89 | (1013) all_0_123_123 = e12
% 18.91/4.89 |
% 18.91/4.89 | Equations (1013) can reduce 687 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (1015) ~ (all_0_113_113 = e12)
% 18.91/4.89 | (699) all_0_122_122 = e12
% 18.91/4.89 |
% 18.91/4.89 | Equations (699) can reduce 200 to:
% 18.91/4.89 | (1015) ~ (all_0_113_113 = e12)
% 18.91/4.89 |
% 18.91/4.89 | Equations (699) can reduce 140 to:
% 18.91/4.89 | (1007) ~ (all_0_121_121 = e12)
% 18.91/4.89 |
% 18.91/4.89 | Equations (699) can reduce 118 to:
% 18.91/4.89 | (686) ~ (all_0_123_123 = e12)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 686 yields:
% 18.91/4.89 | (687) ~ (all_0_123_123 = e12)
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (135), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (693) all_0_113_113 = e12
% 18.91/4.89 |
% 18.91/4.89 | Equations (693) can reduce 1015 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (1015) ~ (all_0_113_113 = e12)
% 18.91/4.89 | (747) all_0_113_113 = e11
% 18.91/4.89 |
% 18.91/4.89 | Equations (747) can reduce 7 to:
% 18.91/4.89 | (1025) ~ (e13 = e11)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 1025 yields:
% 18.91/4.89 | (341) ~ (e13 = e11)
% 18.91/4.89 |
% 18.91/4.89 | Equations (747) can reduce 1015 to:
% 18.91/4.89 | (706) ~ (e12 = e11)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 706 yields:
% 18.91/4.89 | (299) ~ (e12 = e11)
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (124), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (713) all_0_112_112 = e10
% 18.91/4.89 |
% 18.91/4.89 | Equations (713) can reduce 207 to:
% 18.91/4.89 | (714) ~ (all_0_114_114 = e10)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 714 yields:
% 18.91/4.89 | (715) ~ (all_0_114_114 = e10)
% 18.91/4.89 |
% 18.91/4.89 | Equations (713) can reduce 46 to:
% 18.91/4.89 | (1032) ~ (all_0_118_118 = e10)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 1032 yields:
% 18.91/4.89 | (290) ~ (all_0_118_118 = e10)
% 18.91/4.89 |
% 18.91/4.89 | Equations (713) can reduce 208 to:
% 18.91/4.89 | (1034) ~ (all_0_121_121 = e10)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 1034 yields:
% 18.91/4.89 | (1035) ~ (all_0_121_121 = e10)
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (96), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (759) all_0_120_120 = e10
% 18.91/4.89 |
% 18.91/4.89 | Equations (759) can reduce 674 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (674) ~ (all_0_120_120 = e10)
% 18.91/4.89 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (71), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (718) all_0_114_114 = e10
% 18.91/4.89 |
% 18.91/4.89 | Equations (718) can reduce 715 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (715) ~ (all_0_114_114 = e10)
% 18.91/4.89 | (721) all_0_116_116 = e10 | all_0_123_123 = e10
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (62), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (961) all_0_121_121 = e13
% 18.91/4.89 |
% 18.91/4.89 | Equations (961) can reduce 14 to:
% 18.91/4.89 | (819) ~ (all_0_118_118 = e13)
% 18.91/4.89 |
% 18.91/4.89 | Equations (961) can reduce 5 to:
% 18.91/4.89 | (959) ~ (all_0_120_120 = e13)
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (321), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (821) all_0_118_118 = e13
% 18.91/4.89 |
% 18.91/4.89 | Equations (821) can reduce 819 to:
% 18.91/4.89 | (392) $false
% 18.91/4.89 |
% 18.91/4.89 |-The branch is then unsatisfiable
% 18.91/4.89 |-Branch two:
% 18.91/4.89 | (819) ~ (all_0_118_118 = e13)
% 18.91/4.89 | (824) all_0_118_118 = e12
% 18.91/4.89 |
% 18.91/4.89 | Equations (824) can reduce 244 to:
% 18.91/4.89 | (792) ~ (all_0_117_117 = e12)
% 18.91/4.89 |
% 18.91/4.89 | Equations (824) can reduce 819 to:
% 18.91/4.89 | (1052) ~ (e13 = e12)
% 18.91/4.89 |
% 18.91/4.89 | Simplifying 1052 yields:
% 18.91/4.89 | (278) ~ (e13 = e12)
% 18.91/4.89 |
% 18.91/4.89 | Equations (824) can reduce 153 to:
% 18.91/4.89 | (299) ~ (e12 = e11)
% 18.91/4.89 |
% 18.91/4.89 | Equations (824) can reduce 290 to:
% 18.91/4.89 | (147) ~ (e12 = e10)
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (230), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (730), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (731), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (732), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (733), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 18.91/4.89 |
% 18.91/4.89 +-Applying beta-rule and splitting (734), into two cases.
% 18.91/4.89 |-Branch one:
% 18.91/4.89 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 18.91/4.89 |
% 18.91/4.89 | Applying alpha-rule on (735) yields:
% 18.91/4.89 | (736) all_0_112_112 = e12
% 18.91/4.89 | (678) all_0_115_115 = e12
% 18.91/4.89 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.89 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 18.91/4.89 |
% 18.91/4.89 | Combining equations (669,678) yields a new equation:
% 18.91/4.89 | (679) e12 = e10
% 18.91/4.89 |
% 18.91/4.90 | Equations (679) can reduce 147 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 18.91/4.90 |
% 18.91/4.90 | Applying alpha-rule on (742) yields:
% 18.91/4.90 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 18.91/4.90 | (744) all_0_117_117 = e11
% 18.91/4.90 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 18.91/4.90 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.90 | (747) all_0_113_113 = e11
% 18.91/4.90 |
% 18.91/4.90 | Equations (744) can reduce 303 to:
% 18.91/4.90 | (1074) ~ (all_0_120_120 = e11)
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 1074 yields:
% 18.91/4.90 | (1075) ~ (all_0_120_120 = e11)
% 18.91/4.90 |
% 18.91/4.90 | Equations (744) can reduce 792 to:
% 18.91/4.90 | (706) ~ (e12 = e11)
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 706 yields:
% 18.91/4.90 | (299) ~ (e12 = e11)
% 18.91/4.90 |
% 18.91/4.90 | Equations (744) can reduce 219 to:
% 18.91/4.90 | (284) ~ (e11 = e10)
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (45), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (1079) all_0_120_120 = e11
% 18.91/4.90 |
% 18.91/4.90 | Equations (1079) can reduce 1075 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (1075) ~ (all_0_120_120 = e11)
% 18.91/4.90 | (1082) all_0_122_122 = e11 | all_0_123_123 = e11
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (721), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (722) all_0_116_116 = e10
% 18.91/4.90 |
% 18.91/4.90 | Combining equations (682,722) yields a new equation:
% 18.91/4.90 | (1004) e12 = e10
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 1004 yields:
% 18.91/4.90 | (679) e12 = e10
% 18.91/4.90 |
% 18.91/4.90 | Equations (679) can reduce 147 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (725) ~ (all_0_116_116 = e10)
% 18.91/4.90 | (726) all_0_123_123 = e10
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (1082), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (702) all_0_122_122 = e11
% 18.91/4.90 |
% 18.91/4.90 | Combining equations (699,702) yields a new equation:
% 18.91/4.90 | (748) e12 = e11
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 748 yields:
% 18.91/4.90 | (749) e12 = e11
% 18.91/4.90 |
% 18.91/4.90 | Equations (749) can reduce 299 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (1093) ~ (all_0_122_122 = e11)
% 18.91/4.90 | (999) all_0_123_123 = e11
% 18.91/4.90 |
% 18.91/4.90 | Combining equations (999,726) yields a new equation:
% 18.91/4.90 | (1095) e11 = e10
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 1095 yields:
% 18.91/4.90 | (803) e11 = e10
% 18.91/4.90 |
% 18.91/4.90 | Equations (803) can reduce 284 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 18.91/4.90 |
% 18.91/4.90 | Applying alpha-rule on (751) yields:
% 18.91/4.90 | (752) all_0_114_114 = e13
% 18.91/4.90 | (753) all_0_120_120 = e13
% 18.91/4.90 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.90 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 18.91/4.90 |
% 18.91/4.90 | Equations (753) can reduce 959 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 18.91/4.90 |
% 18.91/4.90 | Applying alpha-rule on (757) yields:
% 18.91/4.90 | (718) all_0_114_114 = e10
% 18.91/4.90 | (759) all_0_120_120 = e10
% 18.91/4.90 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.90 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 18.91/4.90 |
% 18.91/4.90 | Equations (759) can reduce 674 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 18.91/4.90 |
% 18.91/4.90 | Applying alpha-rule on (763) yields:
% 18.91/4.90 | (682) all_0_116_116 = e12
% 18.91/4.90 | (765) all_0_121_121 = e12
% 18.91/4.90 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.90 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 18.91/4.90 |
% 18.91/4.90 | Combining equations (765,961) yields a new equation:
% 18.91/4.90 | (957) e13 = e12
% 18.91/4.90 |
% 18.91/4.90 | Equations (957) can reduce 278 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 18.91/4.90 |
% 18.91/4.90 | Applying alpha-rule on (769) yields:
% 18.91/4.90 | (722) all_0_116_116 = e10
% 18.91/4.90 | (771) all_0_121_121 = e10
% 18.91/4.90 |
% 18.91/4.90 | Combining equations (722,682) yields a new equation:
% 18.91/4.90 | (679) e12 = e10
% 18.91/4.90 |
% 18.91/4.90 | Equations (679) can reduce 147 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 18.91/4.90 |
% 18.91/4.90 | Applying alpha-rule on (774) yields:
% 18.91/4.90 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 18.91/4.90 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.90 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 18.91/4.90 | (702) all_0_122_122 = e11
% 18.91/4.90 | (779) all_0_119_119 = e11
% 18.91/4.90 |
% 18.91/4.90 | Combining equations (699,702) yields a new equation:
% 18.91/4.90 | (748) e12 = e11
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 748 yields:
% 18.91/4.90 | (749) e12 = e11
% 18.91/4.90 |
% 18.91/4.90 | Equations (749) can reduce 299 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (964) ~ (all_0_121_121 = e13)
% 18.91/4.90 | (1132) all_0_121_121 = e12 | all_0_121_121 = e10
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (1039), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (771) all_0_121_121 = e10
% 18.91/4.90 |
% 18.91/4.90 | Equations (771) can reduce 1035 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (1035) ~ (all_0_121_121 = e10)
% 18.91/4.90 | (726) all_0_123_123 = e10
% 18.91/4.90 |
% 18.91/4.90 | Equations (726) can reduce 292 to:
% 18.91/4.90 | (1035) ~ (all_0_121_121 = e10)
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (1132), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (765) all_0_121_121 = e12
% 18.91/4.90 |
% 18.91/4.90 | Equations (765) can reduce 1007 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (1007) ~ (all_0_121_121 = e12)
% 18.91/4.90 | (771) all_0_121_121 = e10
% 18.91/4.90 |
% 18.91/4.90 | Equations (771) can reduce 1035 to:
% 18.91/4.90 | (392) $false
% 18.91/4.90 |
% 18.91/4.90 |-The branch is then unsatisfiable
% 18.91/4.90 |-Branch two:
% 18.91/4.90 | (781) ~ (all_0_112_112 = e10)
% 18.91/4.90 | (771) all_0_121_121 = e10
% 18.91/4.90 |
% 18.91/4.90 | Equations (771) can reduce 5 to:
% 18.91/4.90 | (674) ~ (all_0_120_120 = e10)
% 18.91/4.90 |
% 18.91/4.90 | Equations (771) can reduce 292 to:
% 18.91/4.90 | (1146) ~ (all_0_123_123 = e10)
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 1146 yields:
% 18.91/4.90 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.90 |
% 18.91/4.90 | Equations (771) can reduce 1007 to:
% 18.91/4.90 | (716) ~ (e12 = e10)
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 716 yields:
% 18.91/4.90 | (147) ~ (e12 = e10)
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (71), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (718) all_0_114_114 = e10
% 18.91/4.90 |
% 18.91/4.90 | Equations (718) can reduce 267 to:
% 18.91/4.90 | (1146) ~ (all_0_123_123 = e10)
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 1146 yields:
% 18.91/4.90 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.90 |
% 18.91/4.90 | Equations (718) can reduce 683 to:
% 18.91/4.90 | (716) ~ (e12 = e10)
% 18.91/4.90 |
% 18.91/4.90 | Simplifying 716 yields:
% 18.91/4.90 | (147) ~ (e12 = e10)
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (230), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (730), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (731), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (732), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 18.91/4.90 |
% 18.91/4.90 +-Applying beta-rule and splitting (733), into two cases.
% 18.91/4.90 |-Branch one:
% 18.91/4.90 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (734), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 18.91/4.91 |
% 18.91/4.91 | Applying alpha-rule on (735) yields:
% 18.91/4.91 | (736) all_0_112_112 = e12
% 18.91/4.91 | (678) all_0_115_115 = e12
% 18.91/4.91 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.91 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (669,678) yields a new equation:
% 18.91/4.91 | (679) e12 = e10
% 18.91/4.91 |
% 18.91/4.91 | Equations (679) can reduce 147 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 18.91/4.91 |
% 18.91/4.91 | Applying alpha-rule on (742) yields:
% 18.91/4.91 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 18.91/4.91 | (744) all_0_117_117 = e11
% 18.91/4.91 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 18.91/4.91 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.91 | (747) all_0_113_113 = e11
% 18.91/4.91 |
% 18.91/4.91 | Equations (744) can reduce 91 to:
% 18.91/4.91 | (1173) ~ (all_0_119_119 = e11)
% 18.91/4.91 |
% 18.91/4.91 | Simplifying 1173 yields:
% 18.91/4.91 | (998) ~ (all_0_119_119 = e11)
% 18.91/4.91 |
% 18.91/4.91 | Equations (744) can reduce 219 to:
% 18.91/4.91 | (284) ~ (e11 = e10)
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (132), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (1176) all_0_111_111 = e13
% 18.91/4.91 |
% 18.91/4.91 | Equations (1176) can reduce 738 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.91 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (251), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (802) all_0_114_114 = e11
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (802,718) yields a new equation:
% 18.91/4.91 | (1095) e11 = e10
% 18.91/4.91 |
% 18.91/4.91 | Simplifying 1095 yields:
% 18.91/4.91 | (803) e11 = e10
% 18.91/4.91 |
% 18.91/4.91 | Equations (803) can reduce 284 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (805) ~ (all_0_114_114 = e11)
% 18.91/4.91 | (806) all_0_119_119 = e11 | all_0_123_123 = e11
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (806), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (779) all_0_119_119 = e11
% 18.91/4.91 |
% 18.91/4.91 | Equations (779) can reduce 998 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (998) ~ (all_0_119_119 = e11)
% 18.91/4.91 | (999) all_0_123_123 = e11
% 18.91/4.91 |
% 18.91/4.91 | Equations (999) can reduce 150 to:
% 18.91/4.91 | (998) ~ (all_0_119_119 = e11)
% 18.91/4.91 |
% 18.91/4.91 | Equations (999) can reduce 687 to:
% 18.91/4.91 | (706) ~ (e12 = e11)
% 18.91/4.91 |
% 18.91/4.91 | Simplifying 706 yields:
% 18.91/4.91 | (299) ~ (e12 = e11)
% 18.91/4.91 |
% 18.91/4.91 | Equations (999) can reduce 754 to:
% 18.91/4.91 | (284) ~ (e11 = e10)
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (264), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (752) all_0_114_114 = e13
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (752,718) yields a new equation:
% 18.91/4.91 | (949) e13 = e10
% 18.91/4.91 |
% 18.91/4.91 | Simplifying 949 yields:
% 18.91/4.91 | (950) e13 = e10
% 18.91/4.91 |
% 18.91/4.91 | Equations (950) can reduce 189 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (952) ~ (all_0_114_114 = e13)
% 18.91/4.91 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 18.91/4.91 |
% 18.91/4.91 | Equations (718) can reduce 952 to:
% 18.91/4.91 | (675) ~ (e13 = e10)
% 18.91/4.91 |
% 18.91/4.91 | Simplifying 675 yields:
% 18.91/4.91 | (189) ~ (e13 = e10)
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (6), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (1176) all_0_111_111 = e13
% 18.91/4.91 |
% 18.91/4.91 | Equations (1176) can reduce 738 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.91 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (9), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (1206) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13)
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (1206), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (1207) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (1207), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (1208) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (1208), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (1209) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11)
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (1209), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (1210) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10))
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (1210), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (1211) all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)
% 18.91/4.91 |
% 18.91/4.91 | Applying alpha-rule on (1211) yields:
% 18.91/4.91 | (1176) all_0_111_111 = e13
% 18.91/4.91 | (1213) ~ (all_0_123_123 = e13) | all_0_120_120 = e10
% 18.91/4.91 |
% 18.91/4.91 | Equations (1176) can reduce 738 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (1215) all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)
% 18.91/4.91 |
% 18.91/4.91 | Applying alpha-rule on (1215) yields:
% 18.91/4.91 | (1216) all_0_111_111 = e12
% 18.91/4.91 | (828) all_0_112_112 = e13
% 18.91/4.91 | (1218) ~ (all_0_123_123 = e12) | all_0_121_121 = e10
% 18.91/4.91 |
% 18.91/4.91 +-Applying beta-rule and splitting (745), into two cases.
% 18.91/4.91 |-Branch one:
% 18.91/4.91 | (1219) ~ (all_0_111_111 = e12)
% 18.91/4.91 |
% 18.91/4.91 | Equations (1216) can reduce 1219 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (1216) all_0_111_111 = e12
% 18.91/4.91 | (967) ~ (all_0_112_112 = e13)
% 18.91/4.91 |
% 18.91/4.91 | Equations (828) can reduce 967 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (1224) all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11
% 18.91/4.91 |
% 18.91/4.91 | Applying alpha-rule on (1224) yields:
% 18.91/4.91 | (787) all_0_111_111 = e10
% 18.91/4.91 | (752) all_0_114_114 = e13
% 18.91/4.91 | (779) all_0_119_119 = e11
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (752,718) yields a new equation:
% 18.91/4.91 | (949) e13 = e10
% 18.91/4.91 |
% 18.91/4.91 | Simplifying 949 yields:
% 18.91/4.91 | (950) e13 = e10
% 18.91/4.91 |
% 18.91/4.91 | Equations (950) can reduce 189 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (1231) all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 18.91/4.91 |
% 18.91/4.91 | Applying alpha-rule on (1231) yields:
% 18.91/4.91 | (779) all_0_119_119 = e11
% 18.91/4.91 | (726) all_0_123_123 = e10
% 18.91/4.91 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (726,999) yields a new equation:
% 18.91/4.91 | (803) e11 = e10
% 18.91/4.91 |
% 18.91/4.91 | Equations (803) can reduce 284 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (1237) all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 18.91/4.91 |
% 18.91/4.91 | Applying alpha-rule on (1237) yields:
% 18.91/4.91 | (779) all_0_119_119 = e11
% 18.91/4.91 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 18.91/4.91 |
% 18.91/4.91 | Equations (779) can reduce 998 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (1241) all_0_120_120 = e10 & all_0_123_123 = e13
% 18.91/4.91 |
% 18.91/4.91 | Applying alpha-rule on (1241) yields:
% 18.91/4.91 | (759) all_0_120_120 = e10
% 18.91/4.91 | (832) all_0_123_123 = e13
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (832,999) yields a new equation:
% 18.91/4.91 | (1244) e13 = e11
% 18.91/4.91 |
% 18.91/4.91 | Simplifying 1244 yields:
% 18.91/4.91 | (1245) e13 = e11
% 18.91/4.91 |
% 18.91/4.91 | Equations (1245) can reduce 341 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (1247) all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13)
% 18.91/4.91 |
% 18.91/4.91 | Applying alpha-rule on (1247) yields:
% 18.91/4.91 | (771) all_0_121_121 = e10
% 18.91/4.91 | (1013) all_0_123_123 = e12
% 18.91/4.91 | (1250) ~ (all_0_111_111 = e12) | all_0_112_112 = e13
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (1013,999) yields a new equation:
% 18.91/4.91 | (748) e12 = e11
% 18.91/4.91 |
% 18.91/4.91 | Simplifying 748 yields:
% 18.91/4.91 | (749) e12 = e11
% 18.91/4.91 |
% 18.91/4.91 | Equations (749) can reduce 299 to:
% 18.91/4.91 | (392) $false
% 18.91/4.91 |
% 18.91/4.91 |-The branch is then unsatisfiable
% 18.91/4.91 |-Branch two:
% 18.91/4.91 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 18.91/4.91 |
% 18.91/4.91 | Applying alpha-rule on (751) yields:
% 18.91/4.91 | (752) all_0_114_114 = e13
% 18.91/4.91 | (753) all_0_120_120 = e13
% 18.91/4.91 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.91 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 18.91/4.91 |
% 18.91/4.91 | Combining equations (752,718) yields a new equation:
% 18.91/4.91 | (949) e13 = e10
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 949 yields:
% 18.91/4.92 | (950) e13 = e10
% 18.91/4.92 |
% 18.91/4.92 | Equations (950) can reduce 189 to:
% 18.91/4.92 | (392) $false
% 18.91/4.92 |
% 18.91/4.92 |-The branch is then unsatisfiable
% 18.91/4.92 |-Branch two:
% 18.91/4.92 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 18.91/4.92 |
% 18.91/4.92 | Applying alpha-rule on (757) yields:
% 18.91/4.92 | (718) all_0_114_114 = e10
% 18.91/4.92 | (759) all_0_120_120 = e10
% 18.91/4.92 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.92 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 18.91/4.92 |
% 18.91/4.92 | Equations (759) can reduce 674 to:
% 18.91/4.92 | (392) $false
% 18.91/4.92 |
% 18.91/4.92 |-The branch is then unsatisfiable
% 18.91/4.92 |-Branch two:
% 18.91/4.92 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 18.91/4.92 |
% 18.91/4.92 | Applying alpha-rule on (763) yields:
% 18.91/4.92 | (682) all_0_116_116 = e12
% 18.91/4.92 | (765) all_0_121_121 = e12
% 18.91/4.92 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.92 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 18.91/4.92 |
% 18.91/4.92 | Combining equations (771,765) yields a new equation:
% 18.91/4.92 | (679) e12 = e10
% 18.91/4.92 |
% 18.91/4.92 | Equations (679) can reduce 147 to:
% 18.91/4.92 | (392) $false
% 18.91/4.92 |
% 18.91/4.92 |-The branch is then unsatisfiable
% 18.91/4.92 |-Branch two:
% 18.91/4.92 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 18.91/4.92 |
% 18.91/4.92 | Applying alpha-rule on (769) yields:
% 18.91/4.92 | (722) all_0_116_116 = e10
% 18.91/4.92 | (771) all_0_121_121 = e10
% 18.91/4.92 |
% 18.91/4.92 | Combining equations (722,682) yields a new equation:
% 18.91/4.92 | (679) e12 = e10
% 18.91/4.92 |
% 18.91/4.92 | Equations (679) can reduce 147 to:
% 18.91/4.92 | (392) $false
% 18.91/4.92 |
% 18.91/4.92 |-The branch is then unsatisfiable
% 18.91/4.92 |-Branch two:
% 18.91/4.92 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 18.91/4.92 |
% 18.91/4.92 | Applying alpha-rule on (774) yields:
% 18.91/4.92 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 18.91/4.92 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.92 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 18.91/4.92 | (702) all_0_122_122 = e11
% 18.91/4.92 | (779) all_0_119_119 = e11
% 18.91/4.92 |
% 18.91/4.92 | Combining equations (702,699) yields a new equation:
% 18.91/4.92 | (749) e12 = e11
% 18.91/4.92 |
% 18.91/4.92 | Equations (749) can reduce 299 to:
% 18.91/4.92 | (392) $false
% 18.91/4.92 |
% 18.91/4.92 |-The branch is then unsatisfiable
% 18.91/4.92 |-Branch two:
% 18.91/4.92 | (715) ~ (all_0_114_114 = e10)
% 18.91/4.92 | (721) all_0_116_116 = e10 | all_0_123_123 = e10
% 18.91/4.92 |
% 18.91/4.92 +-Applying beta-rule and splitting (721), into two cases.
% 18.91/4.92 |-Branch one:
% 18.91/4.92 | (722) all_0_116_116 = e10
% 18.91/4.92 |
% 18.91/4.92 | Combining equations (682,722) yields a new equation:
% 18.91/4.92 | (1004) e12 = e10
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 1004 yields:
% 18.91/4.92 | (679) e12 = e10
% 18.91/4.92 |
% 18.91/4.92 | Equations (679) can reduce 147 to:
% 18.91/4.92 | (392) $false
% 18.91/4.92 |
% 18.91/4.92 |-The branch is then unsatisfiable
% 18.91/4.92 |-Branch two:
% 18.91/4.92 | (725) ~ (all_0_116_116 = e10)
% 18.91/4.92 | (726) all_0_123_123 = e10
% 18.91/4.92 |
% 18.91/4.92 | Equations (726) can reduce 754 to:
% 18.91/4.92 | (392) $false
% 18.91/4.92 |
% 18.91/4.92 |-The branch is then unsatisfiable
% 18.91/4.92 |-Branch two:
% 18.91/4.92 | (1297) ~ (all_0_115_115 = e10)
% 18.91/4.92 | (722) all_0_116_116 = e10
% 18.91/4.92 |
% 18.91/4.92 | Equations (722) can reduce 195 to:
% 18.91/4.92 | (715) ~ (all_0_114_114 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Equations (722) can reduce 349 to:
% 18.91/4.92 | (1297) ~ (all_0_115_115 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Equations (722) can reduce 78 to:
% 18.91/4.92 | (799) ~ (all_0_119_119 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 799 yields:
% 18.91/4.92 | (159) ~ (all_0_119_119 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Equations (722) can reduce 126 to:
% 18.91/4.92 | (1146) ~ (all_0_123_123 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 1146 yields:
% 18.91/4.92 | (754) ~ (all_0_123_123 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Equations (722) can reduce 63 to:
% 18.91/4.92 | (675) ~ (e13 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 675 yields:
% 18.91/4.92 | (189) ~ (e13 = e10)
% 18.91/4.92 |
% 18.91/4.92 | From (722) and (226) follows:
% 18.91/4.92 | (1307) h1(e10) = all_0_78_78
% 18.91/4.92 |
% 18.91/4.92 | From (722) and (217) follows:
% 18.91/4.92 | (1308) h3(e10) = all_0_33_33
% 18.91/4.92 |
% 18.91/4.92 +-Applying beta-rule and splitting (326), into two cases.
% 18.91/4.92 |-Branch one:
% 18.91/4.92 | (678) all_0_115_115 = e12
% 18.91/4.92 |
% 18.91/4.92 | Equations (678) can reduce 286 to:
% 18.91/4.92 | (1219) ~ (all_0_111_111 = e12)
% 18.91/4.92 |
% 18.91/4.92 | Equations (678) can reduce 152 to:
% 18.91/4.92 | (1311) ~ (all_0_117_117 = e12)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 1311 yields:
% 18.91/4.92 | (792) ~ (all_0_117_117 = e12)
% 18.91/4.92 |
% 18.91/4.92 | Equations (678) can reduce 256 to:
% 18.91/4.92 | (1313) ~ (all_0_120_120 = e12)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 1313 yields:
% 18.91/4.92 | (1001) ~ (all_0_120_120 = e12)
% 18.91/4.92 |
% 18.91/4.92 | From (678) and (119) follows:
% 18.91/4.92 | (1315) h1(e12) = all_0_75_75
% 18.91/4.92 |
% 18.91/4.92 | From (678) and (90) follows:
% 18.91/4.92 | (1316) h3(e12) = all_0_32_32
% 18.91/4.92 |
% 18.91/4.92 | Instantiating formula (154) with e12, all_0_75_75, e20 and discharging atoms h1(e12) = all_0_75_75, h1(e12) = e20, yields:
% 18.91/4.92 | (1317) all_0_75_75 = e20
% 18.91/4.92 |
% 18.91/4.92 | Instantiating formula (154) with e10, all_0_78_78, e21 and discharging atoms h1(e10) = all_0_78_78, h1(e10) = e21, yields:
% 18.91/4.92 | (1318) all_0_78_78 = e21
% 18.91/4.92 |
% 18.91/4.92 | Instantiating formula (68) with e12, all_0_32_32, e22 and discharging atoms h3(e12) = all_0_32_32, h3(e12) = e22, yields:
% 18.91/4.92 | (1319) all_0_32_32 = e22
% 18.91/4.92 |
% 18.91/4.92 | Instantiating formula (68) with e10, all_0_33_33, e20 and discharging atoms h3(e10) = all_0_33_33, h3(e10) = e20, yields:
% 18.91/4.92 | (1320) all_0_33_33 = e20
% 18.91/4.92 |
% 18.91/4.92 | From (1317) and (1315) follows:
% 18.91/4.92 | (199) h1(e12) = e20
% 18.91/4.92 |
% 18.91/4.92 | From (1318) and (1307) follows:
% 18.91/4.92 | (592) h1(e10) = e21
% 18.91/4.92 |
% 18.91/4.92 | From (1319) and (1316) follows:
% 18.91/4.92 | (297) h3(e12) = e22
% 18.91/4.92 |
% 18.91/4.92 | From (1320) and (1308) follows:
% 18.91/4.92 | (263) h3(e10) = e20
% 18.91/4.92 |
% 18.91/4.92 +-Applying beta-rule and splitting (338), into two cases.
% 18.91/4.92 |-Branch one:
% 18.91/4.92 | (693) all_0_113_113 = e12
% 18.91/4.92 |
% 18.91/4.92 | Equations (693) can reduce 186 to:
% 18.91/4.92 | (1219) ~ (all_0_111_111 = e12)
% 18.91/4.92 |
% 18.91/4.92 | Equations (693) can reduce 305 to:
% 18.91/4.92 | (694) ~ (all_0_112_112 = e12)
% 18.91/4.92 |
% 18.91/4.92 | Equations (693) can reduce 283 to:
% 18.91/4.92 | (1328) ~ (all_0_114_114 = e12)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 1328 yields:
% 18.91/4.92 | (683) ~ (all_0_114_114 = e12)
% 18.91/4.92 |
% 18.91/4.92 | Equations (693) can reduce 200 to:
% 18.91/4.92 | (695) ~ (all_0_122_122 = e12)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 695 yields:
% 18.91/4.92 | (696) ~ (all_0_122_122 = e12)
% 18.91/4.92 |
% 18.91/4.92 | Equations (693) can reduce 323 to:
% 18.91/4.92 | (147) ~ (e12 = e10)
% 18.91/4.92 |
% 18.91/4.92 | From (693) and (306) follows:
% 18.91/4.92 | (1333) h1(e12) = all_0_71_71
% 18.91/4.92 |
% 18.91/4.92 | From (693) and (13) follows:
% 18.91/4.92 | (1334) h3(e12) = all_0_30_30
% 18.91/4.92 |
% 18.91/4.92 +-Applying beta-rule and splitting (182), into two cases.
% 18.91/4.92 |-Branch one:
% 18.91/4.92 | (699) all_0_122_122 = e12
% 18.91/4.92 |
% 18.91/4.92 | Equations (699) can reduce 696 to:
% 18.91/4.92 | (392) $false
% 18.91/4.92 |
% 18.91/4.92 |-The branch is then unsatisfiable
% 18.91/4.92 |-Branch two:
% 18.91/4.92 | (696) ~ (all_0_122_122 = e12)
% 18.91/4.92 | (702) all_0_122_122 = e11
% 18.91/4.92 |
% 18.91/4.92 | Equations (702) can reduce 140 to:
% 18.91/4.92 | (23) ~ (all_0_121_121 = e11)
% 18.91/4.92 |
% 18.91/4.92 | Equations (702) can reduce 696 to:
% 18.91/4.92 | (706) ~ (e12 = e11)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 706 yields:
% 18.91/4.92 | (299) ~ (e12 = e11)
% 18.91/4.92 |
% 18.91/4.92 | From (702) and (231) follows:
% 18.91/4.92 | (1342) h1(e11) = all_0_91_91
% 18.91/4.92 |
% 18.91/4.92 | From (702) and (27) follows:
% 18.91/4.92 | (1343) h3(e11) = all_0_39_39
% 18.91/4.92 |
% 18.91/4.92 | Instantiating formula (154) with e12, all_0_71_71, e20 and discharging atoms h1(e12) = all_0_71_71, h1(e12) = e20, yields:
% 18.91/4.92 | (1344) all_0_71_71 = e20
% 18.91/4.92 |
% 18.91/4.92 | Instantiating formula (154) with e11, all_0_91_91, e22 and discharging atoms h1(e11) = all_0_91_91, h1(e11) = e22, yields:
% 18.91/4.92 | (1345) all_0_91_91 = e22
% 18.91/4.92 |
% 18.91/4.92 | Instantiating formula (68) with e12, all_0_30_30, e22 and discharging atoms h3(e12) = all_0_30_30, h3(e12) = e22, yields:
% 18.91/4.92 | (1346) all_0_30_30 = e22
% 18.91/4.92 |
% 18.91/4.92 | Instantiating formula (68) with e11, all_0_39_39, e21 and discharging atoms h3(e11) = all_0_39_39, h3(e11) = e21, yields:
% 18.91/4.92 | (1347) all_0_39_39 = e21
% 18.91/4.92 |
% 18.91/4.92 | From (1344) and (1333) follows:
% 18.91/4.92 | (199) h1(e12) = e20
% 18.91/4.92 |
% 18.91/4.92 | From (1345) and (1342) follows:
% 18.91/4.92 | (550) h1(e11) = e22
% 18.91/4.92 |
% 18.91/4.92 | From (1346) and (1334) follows:
% 18.91/4.92 | (297) h3(e12) = e22
% 18.91/4.92 |
% 18.91/4.92 | From (1347) and (1343) follows:
% 18.91/4.92 | (353) h3(e11) = e21
% 18.91/4.92 |
% 18.91/4.92 +-Applying beta-rule and splitting (124), into two cases.
% 18.91/4.92 |-Branch one:
% 18.91/4.92 | (713) all_0_112_112 = e10
% 18.91/4.92 |
% 18.91/4.92 | Equations (713) can reduce 207 to:
% 18.91/4.92 | (714) ~ (all_0_114_114 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 714 yields:
% 18.91/4.92 | (715) ~ (all_0_114_114 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Equations (713) can reduce 46 to:
% 18.91/4.92 | (1032) ~ (all_0_118_118 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 1032 yields:
% 18.91/4.92 | (290) ~ (all_0_118_118 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Equations (713) can reduce 208 to:
% 18.91/4.92 | (1034) ~ (all_0_121_121 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 1034 yields:
% 18.91/4.92 | (1035) ~ (all_0_121_121 = e10)
% 18.91/4.92 |
% 18.91/4.92 | From (713) and (164) follows:
% 18.91/4.92 | (1359) h3(e10) = all_0_29_29
% 18.91/4.92 |
% 18.91/4.92 +-Applying beta-rule and splitting (96), into two cases.
% 18.91/4.92 |-Branch one:
% 18.91/4.92 | (759) all_0_120_120 = e10
% 18.91/4.92 |
% 18.91/4.92 | Equations (759) can reduce 5 to:
% 18.91/4.92 | (1034) ~ (all_0_121_121 = e10)
% 18.91/4.92 |
% 18.91/4.92 | Simplifying 1034 yields:
% 18.91/4.92 | (1035) ~ (all_0_121_121 = e10)
% 18.91/4.92 |
% 18.91/4.93 | Equations (759) can reduce 1001 to:
% 18.91/4.93 | (716) ~ (e12 = e10)
% 18.91/4.93 |
% 18.91/4.93 | Simplifying 716 yields:
% 18.91/4.93 | (147) ~ (e12 = e10)
% 18.91/4.93 |
% 18.91/4.93 | From (759) and (258) follows:
% 18.91/4.93 | (1365) h3(e10) = all_0_37_37
% 18.91/4.93 |
% 18.91/4.93 +-Applying beta-rule and splitting (230), into two cases.
% 18.91/4.93 |-Branch one:
% 18.91/4.93 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 18.91/4.93 |
% 18.91/4.93 +-Applying beta-rule and splitting (730), into two cases.
% 18.91/4.93 |-Branch one:
% 18.91/4.93 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 18.91/4.93 |
% 18.91/4.93 +-Applying beta-rule and splitting (731), into two cases.
% 18.91/4.93 |-Branch one:
% 18.91/4.93 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 18.91/4.93 |
% 18.91/4.93 +-Applying beta-rule and splitting (732), into two cases.
% 18.91/4.93 |-Branch one:
% 18.91/4.93 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 18.91/4.93 |
% 18.91/4.93 +-Applying beta-rule and splitting (733), into two cases.
% 18.91/4.93 |-Branch one:
% 18.91/4.93 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 18.91/4.93 |
% 18.91/4.93 +-Applying beta-rule and splitting (734), into two cases.
% 18.91/4.93 |-Branch one:
% 18.91/4.93 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 18.91/4.93 |
% 18.91/4.93 | Applying alpha-rule on (735) yields:
% 18.91/4.93 | (736) all_0_112_112 = e12
% 18.91/4.93 | (678) all_0_115_115 = e12
% 18.91/4.93 | (738) ~ (all_0_111_111 = e13)
% 18.91/4.93 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 18.91/4.93 |
% 18.91/4.93 | Combining equations (713,736) yields a new equation:
% 18.91/4.93 | (679) e12 = e10
% 18.91/4.93 |
% 19.37/4.93 | Equations (679) can reduce 147 to:
% 19.37/4.93 | (392) $false
% 19.37/4.93 |
% 19.37/4.93 |-The branch is then unsatisfiable
% 19.37/4.93 |-Branch two:
% 19.37/4.93 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 19.37/4.93 |
% 19.37/4.93 | Applying alpha-rule on (742) yields:
% 19.37/4.93 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 19.37/4.93 | (744) all_0_117_117 = e11
% 19.37/4.93 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 19.37/4.93 | (738) ~ (all_0_111_111 = e13)
% 19.37/4.93 | (747) all_0_113_113 = e11
% 19.37/4.93 |
% 19.37/4.93 | Combining equations (747,693) yields a new equation:
% 19.37/4.93 | (749) e12 = e11
% 19.37/4.93 |
% 19.37/4.93 | Equations (749) can reduce 299 to:
% 19.37/4.93 | (392) $false
% 19.37/4.93 |
% 19.37/4.93 |-The branch is then unsatisfiable
% 19.37/4.93 |-Branch two:
% 19.37/4.93 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 19.37/4.93 |
% 19.37/4.93 | Applying alpha-rule on (751) yields:
% 19.37/4.93 | (752) all_0_114_114 = e13
% 19.37/4.93 | (753) all_0_120_120 = e13
% 19.37/4.93 | (754) ~ (all_0_123_123 = e10)
% 19.37/4.93 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 19.37/4.93 |
% 19.37/4.93 | Combining equations (759,753) yields a new equation:
% 19.37/4.93 | (950) e13 = e10
% 19.37/4.93 |
% 19.37/4.93 | Equations (950) can reduce 189 to:
% 19.37/4.93 | (392) $false
% 19.37/4.93 |
% 19.37/4.93 |-The branch is then unsatisfiable
% 19.37/4.93 |-Branch two:
% 19.37/4.93 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 19.37/4.93 |
% 19.37/4.93 | Applying alpha-rule on (757) yields:
% 19.37/4.93 | (718) all_0_114_114 = e10
% 19.37/4.93 | (759) all_0_120_120 = e10
% 19.37/4.93 | (738) ~ (all_0_111_111 = e13)
% 19.37/4.93 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 19.37/4.93 |
% 19.37/4.93 | Equations (718) can reduce 715 to:
% 19.37/4.93 | (392) $false
% 19.37/4.93 |
% 19.37/4.93 |-The branch is then unsatisfiable
% 19.37/4.93 |-Branch two:
% 19.37/4.93 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 19.37/4.93 |
% 19.37/4.93 | Applying alpha-rule on (763) yields:
% 19.37/4.93 | (682) all_0_116_116 = e12
% 19.37/4.93 | (765) all_0_121_121 = e12
% 19.37/4.93 | (754) ~ (all_0_123_123 = e10)
% 19.37/4.93 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 19.37/4.93 |
% 19.37/4.93 | Combining equations (682,722) yields a new equation:
% 19.37/4.93 | (1004) e12 = e10
% 19.37/4.93 |
% 19.37/4.93 | Simplifying 1004 yields:
% 19.37/4.93 | (679) e12 = e10
% 19.37/4.93 |
% 19.37/4.93 | Equations (679) can reduce 147 to:
% 19.37/4.93 | (392) $false
% 19.37/4.93 |
% 19.37/4.93 |-The branch is then unsatisfiable
% 19.37/4.93 |-Branch two:
% 19.37/4.93 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 19.37/4.93 |
% 19.37/4.93 | Applying alpha-rule on (769) yields:
% 19.37/4.93 | (722) all_0_116_116 = e10
% 19.37/4.93 | (771) all_0_121_121 = e10
% 19.37/4.93 |
% 19.37/4.93 | Equations (771) can reduce 1035 to:
% 19.37/4.93 | (392) $false
% 19.37/4.93 |
% 19.37/4.93 |-The branch is then unsatisfiable
% 19.37/4.93 |-Branch two:
% 19.37/4.93 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 19.37/4.93 |
% 19.37/4.93 | Applying alpha-rule on (774) yields:
% 19.37/4.93 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 19.37/4.93 | (754) ~ (all_0_123_123 = e10)
% 19.37/4.93 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 19.37/4.93 | (702) all_0_122_122 = e11
% 19.37/4.93 | (779) all_0_119_119 = e11
% 19.37/4.93 |
% 19.37/4.93 | Equations (779) can reduce 359 to:
% 19.37/4.93 | (805) ~ (all_0_114_114 = e11)
% 19.37/4.93 |
% 19.37/4.93 | Equations (779) can reduce 91 to:
% 19.37/4.93 | (982) ~ (all_0_117_117 = e11)
% 19.37/4.93 |
% 19.37/4.93 | Equations (779) can reduce 212 to:
% 19.37/4.93 | (153) ~ (all_0_118_118 = e11)
% 19.37/4.93 |
% 19.37/4.93 | From (779) and (133) follows:
% 19.37/4.93 | (1420) h3(e11) = all_0_36_36
% 19.37/4.93 |
% 19.37/4.93 +-Applying beta-rule and splitting (123), into two cases.
% 19.37/4.93 |-Branch one:
% 19.37/4.93 | (817) all_0_117_117 = e13
% 19.37/4.93 |
% 19.37/4.93 | Equations (817) can reduce 244 to:
% 19.37/4.93 | (818) ~ (all_0_118_118 = e13)
% 19.37/4.93 |
% 19.37/4.93 | Simplifying 818 yields:
% 19.37/4.93 | (819) ~ (all_0_118_118 = e13)
% 19.37/4.93 |
% 19.37/4.93 | From (817) and (136) follows:
% 19.37/4.93 | (1424) h3(e13) = all_0_34_34
% 19.37/4.93 |
% 19.37/4.93 +-Applying beta-rule and splitting (321), into two cases.
% 19.37/4.93 |-Branch one:
% 19.37/4.93 | (821) all_0_118_118 = e13
% 19.37/4.93 |
% 19.37/4.93 | Equations (821) can reduce 819 to:
% 19.37/4.93 | (392) $false
% 19.37/4.93 |
% 19.37/4.93 |-The branch is then unsatisfiable
% 19.37/4.93 |-Branch two:
% 19.37/4.93 | (819) ~ (all_0_118_118 = e13)
% 19.37/4.93 | (824) all_0_118_118 = e12
% 19.37/4.93 |
% 19.37/4.93 | Equations (824) can reduce 14 to:
% 19.37/4.93 | (1429) ~ (all_0_121_121 = e12)
% 19.37/4.93 |
% 19.37/4.93 | Simplifying 1429 yields:
% 19.37/4.93 | (1007) ~ (all_0_121_121 = e12)
% 19.37/4.93 |
% 19.37/4.93 | Equations (824) can reduce 153 to:
% 19.37/4.93 | (299) ~ (e12 = e11)
% 19.37/4.93 |
% 19.37/4.93 | Equations (824) can reduce 290 to:
% 19.37/4.93 | (147) ~ (e12 = e10)
% 19.37/4.93 |
% 19.37/4.93 | From (824) and (67) follows:
% 19.37/4.93 | (1433) h3(e12) = all_0_35_35
% 19.37/4.93 |
% 19.37/4.93 +-Applying beta-rule and splitting (155), into two cases.
% 19.37/4.93 |-Branch one:
% 19.37/4.93 | (834) all_0_111_111 = e11
% 19.37/4.93 |
% 19.37/4.93 | Equations (834) can reduce 1219 to:
% 19.37/4.93 | (706) ~ (e12 = e11)
% 19.37/4.93 |
% 19.37/4.93 | Simplifying 706 yields:
% 19.37/4.93 | (299) ~ (e12 = e11)
% 19.37/4.93 |
% 19.37/4.93 | From (834) and (352) follows:
% 19.37/4.93 | (1437) h3(e11) = all_0_28_28
% 19.37/4.93 |
% 19.37/4.93 +-Applying beta-rule and splitting (62), into two cases.
% 19.37/4.93 |-Branch one:
% 19.37/4.93 | (961) all_0_121_121 = e13
% 19.37/4.93 |
% 19.37/4.93 | Equations (961) can reduce 292 to:
% 19.37/4.93 | (1439) ~ (all_0_123_123 = e13)
% 19.37/4.93 |
% 19.37/4.93 | Simplifying 1439 yields:
% 19.37/4.93 | (946) ~ (all_0_123_123 = e13)
% 19.37/4.93 |
% 19.37/4.93 | Equations (961) can reduce 23 to:
% 19.37/4.93 | (341) ~ (e13 = e11)
% 19.37/4.93 |
% 19.37/4.93 | From (961) and (29) follows:
% 19.37/4.93 | (1442) h3(e13) = all_0_38_38
% 19.37/4.93 |
% 19.37/4.93 +-Applying beta-rule and splitting (337), into two cases.
% 19.37/4.93 |-Branch one:
% 19.37/4.93 | (791) all_0_120_120 = e12
% 19.37/4.93 |
% 19.37/4.93 | Combining equations (791,759) yields a new equation:
% 19.37/4.93 | (1004) e12 = e10
% 19.37/4.93 |
% 19.37/4.93 | Simplifying 1004 yields:
% 19.37/4.93 | (679) e12 = e10
% 19.37/4.93 |
% 19.37/4.93 | Equations (679) can reduce 147 to:
% 19.37/4.93 | (392) $false
% 19.37/4.93 |
% 19.37/4.93 |-The branch is then unsatisfiable
% 19.37/4.93 |-Branch two:
% 19.37/4.93 | (1001) ~ (all_0_120_120 = e12)
% 19.37/4.93 | (1002) all_0_121_121 = e12 | all_0_122_122 = e12 | all_0_123_123 = e12
% 19.37/4.93 |
% 19.37/4.93 | Equations (759) can reduce 1001 to:
% 19.37/4.93 | (716) ~ (e12 = e10)
% 19.37/4.93 |
% 19.37/4.93 | Simplifying 716 yields:
% 19.37/4.93 | (147) ~ (e12 = e10)
% 19.37/4.93 |
% 19.37/4.93 +-Applying beta-rule and splitting (132), into two cases.
% 19.37/4.93 |-Branch one:
% 19.37/4.93 | (1176) all_0_111_111 = e13
% 19.37/4.93 |
% 19.37/4.94 | Combining equations (834,1176) yields a new equation:
% 19.37/4.94 | (1245) e13 = e11
% 19.37/4.94 |
% 19.37/4.94 | Equations (1245) can reduce 341 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (738) ~ (all_0_111_111 = e13)
% 19.37/4.94 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 19.37/4.94 |
% 19.37/4.94 | Equations (834) can reduce 738 to:
% 19.37/4.94 | (1025) ~ (e13 = e11)
% 19.37/4.94 |
% 19.37/4.94 | Simplifying 1025 yields:
% 19.37/4.94 | (341) ~ (e13 = e11)
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (43), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (832) all_0_123_123 = e13
% 19.37/4.94 |
% 19.37/4.94 | Equations (832) can reduce 946 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (946) ~ (all_0_123_123 = e13)
% 19.37/4.94 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (264), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (752) all_0_114_114 = e13
% 19.37/4.94 |
% 19.37/4.94 | Equations (752) can reduce 683 to:
% 19.37/4.94 | (278) ~ (e13 = e12)
% 19.37/4.94 |
% 19.37/4.94 | From (752) and (300) follows:
% 19.37/4.94 | (1464) h3(e13) = all_0_31_31
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (52), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1465) all_0_114_114 = e12
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (1465,752) yields a new equation:
% 19.37/4.94 | (957) e13 = e12
% 19.37/4.94 |
% 19.37/4.94 | Equations (957) can reduce 278 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (683) ~ (all_0_114_114 = e12)
% 19.37/4.94 | (1469) all_0_116_116 = e12 | all_0_119_119 = e12 | all_0_123_123 = e12
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (1469), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (682) all_0_116_116 = e12
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (682,722) yields a new equation:
% 19.37/4.94 | (1004) e12 = e10
% 19.37/4.94 |
% 19.37/4.94 | Simplifying 1004 yields:
% 19.37/4.94 | (679) e12 = e10
% 19.37/4.94 |
% 19.37/4.94 | Equations (679) can reduce 147 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (1474) ~ (all_0_116_116 = e12)
% 19.37/4.94 | (1475) all_0_119_119 = e12 | all_0_123_123 = e12
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (1475), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1476) all_0_119_119 = e12
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (779,1476) yields a new equation:
% 19.37/4.94 | (749) e12 = e11
% 19.37/4.94 |
% 19.37/4.94 | Equations (749) can reduce 299 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (685) ~ (all_0_119_119 = e12)
% 19.37/4.94 | (1013) all_0_123_123 = e12
% 19.37/4.94 |
% 19.37/4.94 | From (1013) and (89) follows:
% 19.37/4.94 | (1481) h3(e12) = all_0_40_40
% 19.37/4.94 |
% 19.37/4.94 | Instantiating formula (68) with e13, all_0_31_31, e23 and discharging atoms h3(e13) = all_0_31_31, h3(e13) = e23, yields:
% 19.37/4.94 | (1482) all_0_31_31 = e23
% 19.37/4.94 |
% 19.37/4.94 | Instantiating formula (68) with e13, all_0_34_34, all_0_31_31 and discharging atoms h3(e13) = all_0_31_31, h3(e13) = all_0_34_34, yields:
% 19.37/4.94 | (1483) all_0_31_31 = all_0_34_34
% 19.37/4.94 |
% 19.37/4.94 | Instantiating formula (68) with e13, all_0_38_38, all_0_34_34 and discharging atoms h3(e13) = all_0_34_34, h3(e13) = all_0_38_38, yields:
% 19.37/4.94 | (1484) all_0_34_34 = all_0_38_38
% 19.37/4.94 |
% 19.37/4.94 | Instantiating formula (68) with e12, all_0_35_35, e22 and discharging atoms h3(e12) = all_0_35_35, h3(e12) = e22, yields:
% 19.37/4.94 | (1485) all_0_35_35 = e22
% 19.37/4.94 |
% 19.37/4.94 | Instantiating formula (68) with e12, all_0_40_40, all_0_35_35 and discharging atoms h3(e12) = all_0_35_35, h3(e12) = all_0_40_40, yields:
% 19.37/4.94 | (1486) all_0_35_35 = all_0_40_40
% 19.37/4.94 |
% 19.37/4.94 | Instantiating formula (68) with e11, all_0_28_28, e21 and discharging atoms h3(e11) = all_0_28_28, h3(e11) = e21, yields:
% 19.37/4.94 | (1487) all_0_28_28 = e21
% 19.37/4.94 |
% 19.37/4.94 | Instantiating formula (68) with e11, all_0_36_36, all_0_28_28 and discharging atoms h3(e11) = all_0_28_28, h3(e11) = all_0_36_36, yields:
% 19.37/4.94 | (1488) all_0_28_28 = all_0_36_36
% 19.37/4.94 |
% 19.37/4.94 | Instantiating formula (68) with e10, all_0_29_29, e20 and discharging atoms h3(e10) = all_0_29_29, h3(e10) = e20, yields:
% 19.37/4.94 | (1489) all_0_29_29 = e20
% 19.37/4.94 |
% 19.37/4.94 | Instantiating formula (68) with e10, all_0_37_37, all_0_29_29 and discharging atoms h3(e10) = all_0_29_29, h3(e10) = all_0_37_37, yields:
% 19.37/4.94 | (1490) all_0_29_29 = all_0_37_37
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (1487,1488) yields a new equation:
% 19.37/4.94 | (1491) all_0_36_36 = e21
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (1489,1490) yields a new equation:
% 19.37/4.94 | (1492) all_0_37_37 = e20
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (1483,1482) yields a new equation:
% 19.37/4.94 | (1493) all_0_34_34 = e23
% 19.37/4.94 |
% 19.37/4.94 | Simplifying 1493 yields:
% 19.37/4.94 | (1494) all_0_34_34 = e23
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (1484,1494) yields a new equation:
% 19.37/4.94 | (1495) all_0_38_38 = e23
% 19.37/4.94 |
% 19.37/4.94 | Simplifying 1495 yields:
% 19.37/4.94 | (1496) all_0_38_38 = e23
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (1485,1486) yields a new equation:
% 19.37/4.94 | (1497) all_0_40_40 = e22
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (1497,1486) yields a new equation:
% 19.37/4.94 | (1485) all_0_35_35 = e22
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (1492,1490) yields a new equation:
% 19.37/4.94 | (1489) all_0_29_29 = e20
% 19.37/4.94 |
% 19.37/4.94 | Combining equations (1491,1488) yields a new equation:
% 19.37/4.94 | (1487) all_0_28_28 = e21
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (92), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1501) ~ (all_0_28_28 = all_0_98_98)
% 19.37/4.94 |
% 19.37/4.94 | Equations (1487,493) can reduce 1501 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (1503) all_0_28_28 = all_0_98_98
% 19.37/4.94 | (1504) ~ (all_0_29_29 = all_0_99_99) | ~ (all_0_30_30 = all_0_100_100) | ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (1504), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1505) ~ (all_0_29_29 = all_0_99_99)
% 19.37/4.94 |
% 19.37/4.94 | Equations (1489,376) can reduce 1505 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (1507) all_0_29_29 = all_0_99_99
% 19.37/4.94 | (1508) ~ (all_0_30_30 = all_0_100_100) | ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (1508), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1509) ~ (all_0_30_30 = all_0_100_100)
% 19.37/4.94 |
% 19.37/4.94 | Equations (1346,407) can reduce 1509 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (1511) all_0_30_30 = all_0_100_100
% 19.37/4.94 | (1512) ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (1512), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1513) ~ (all_0_31_31 = all_0_101_101)
% 19.37/4.94 |
% 19.37/4.94 | Equations (1482,436) can reduce 1513 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (1515) all_0_31_31 = all_0_101_101
% 19.37/4.94 | (1516) ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (1516), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1517) ~ (all_0_32_32 = all_0_102_102)
% 19.37/4.94 |
% 19.37/4.94 | Equations (1319,394) can reduce 1517 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (1519) all_0_32_32 = all_0_102_102
% 19.37/4.94 | (1520) ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (1520), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1521) ~ (all_0_33_33 = all_0_103_103)
% 19.37/4.94 |
% 19.37/4.94 | Equations (1320,385) can reduce 1521 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (1523) all_0_33_33 = all_0_103_103
% 19.37/4.94 | (1524) ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (1524), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1525) ~ (all_0_34_34 = all_0_104_104)
% 19.37/4.94 |
% 19.37/4.94 | Equations (1494,505) can reduce 1525 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (1527) all_0_34_34 = all_0_104_104
% 19.37/4.94 | (1528) ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (1528), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1529) ~ (all_0_35_35 = all_0_105_105)
% 19.37/4.94 |
% 19.37/4.94 | Equations (1485,512) can reduce 1529 to:
% 19.37/4.94 | (392) $false
% 19.37/4.94 |
% 19.37/4.94 |-The branch is then unsatisfiable
% 19.37/4.94 |-Branch two:
% 19.37/4.94 | (1531) all_0_35_35 = all_0_105_105
% 19.37/4.94 | (1532) ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.94 |
% 19.37/4.94 +-Applying beta-rule and splitting (1532), into two cases.
% 19.37/4.94 |-Branch one:
% 19.37/4.94 | (1533) ~ (all_0_36_36 = all_0_106_106)
% 19.37/4.94 |
% 19.37/4.95 | Equations (1491,464) can reduce 1533 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (1535) all_0_36_36 = all_0_106_106
% 19.37/4.95 | (1536) ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (1536), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (1537) ~ (all_0_37_37 = all_0_107_107)
% 19.37/4.95 |
% 19.37/4.95 | Equations (1492,401) can reduce 1537 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (1539) all_0_37_37 = all_0_107_107
% 19.37/4.95 | (1540) ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (1540), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (1541) ~ (all_0_38_38 = all_0_108_108)
% 19.37/4.95 |
% 19.37/4.95 | Equations (1496,522) can reduce 1541 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (1543) all_0_38_38 = all_0_108_108
% 19.37/4.95 | (1544) ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (1544), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (1545) ~ (all_0_39_39 = all_0_109_109)
% 19.37/4.95 |
% 19.37/4.95 | Equations (1347,462) can reduce 1545 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (1547) all_0_39_39 = all_0_109_109
% 19.37/4.95 | (1548) ~ (all_0_40_40 = all_0_110_110)
% 19.37/4.95 |
% 19.37/4.95 | Equations (1497,549) can reduce 1548 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (952) ~ (all_0_114_114 = e13)
% 19.37/4.95 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (953), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (1552) all_0_119_119 = e13
% 19.37/4.95 |
% 19.37/4.95 | Combining equations (1552,779) yields a new equation:
% 19.37/4.95 | (1244) e13 = e11
% 19.37/4.95 |
% 19.37/4.95 | Simplifying 1244 yields:
% 19.37/4.95 | (1245) e13 = e11
% 19.37/4.95 |
% 19.37/4.95 | Equations (1245) can reduce 341 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (1556) ~ (all_0_119_119 = e13)
% 19.37/4.95 | (832) all_0_123_123 = e13
% 19.37/4.95 |
% 19.37/4.95 | Equations (832) can reduce 946 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (964) ~ (all_0_121_121 = e13)
% 19.37/4.95 | (1132) all_0_121_121 = e12 | all_0_121_121 = e10
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (337), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (791) all_0_120_120 = e12
% 19.37/4.95 |
% 19.37/4.95 | Combining equations (791,759) yields a new equation:
% 19.37/4.95 | (1004) e12 = e10
% 19.37/4.95 |
% 19.37/4.95 | Simplifying 1004 yields:
% 19.37/4.95 | (679) e12 = e10
% 19.37/4.95 |
% 19.37/4.95 | Equations (679) can reduce 147 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (1001) ~ (all_0_120_120 = e12)
% 19.37/4.95 | (1002) all_0_121_121 = e12 | all_0_122_122 = e12 | all_0_123_123 = e12
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (1002), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (765) all_0_121_121 = e12
% 19.37/4.95 |
% 19.37/4.95 | Equations (765) can reduce 1007 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (1007) ~ (all_0_121_121 = e12)
% 19.37/4.95 | (1008) all_0_122_122 = e12 | all_0_123_123 = e12
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (1132), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (765) all_0_121_121 = e12
% 19.37/4.95 |
% 19.37/4.95 | Equations (765) can reduce 1007 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (1007) ~ (all_0_121_121 = e12)
% 19.37/4.95 | (771) all_0_121_121 = e10
% 19.37/4.95 |
% 19.37/4.95 | Equations (771) can reduce 1035 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (936) ~ (all_0_111_111 = e11)
% 19.37/4.95 | (1577) all_0_117_117 = e11 | all_0_120_120 = e11
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (172), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (834) all_0_111_111 = e11
% 19.37/4.95 |
% 19.37/4.95 | Equations (834) can reduce 936 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (936) ~ (all_0_111_111 = e11)
% 19.37/4.95 | (937) all_0_113_113 = e11 | all_0_114_114 = e11
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (937), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (747) all_0_113_113 = e11
% 19.37/4.95 |
% 19.37/4.95 | Combining equations (693,747) yields a new equation:
% 19.37/4.95 | (748) e12 = e11
% 19.37/4.95 |
% 19.37/4.95 | Simplifying 748 yields:
% 19.37/4.95 | (749) e12 = e11
% 19.37/4.95 |
% 19.37/4.95 | Equations (749) can reduce 299 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (942) ~ (all_0_113_113 = e11)
% 19.37/4.95 | (802) all_0_114_114 = e11
% 19.37/4.95 |
% 19.37/4.95 | Equations (802) can reduce 805 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (978) ~ (all_0_117_117 = e13)
% 19.37/4.95 | (979) all_0_117_117 = e12 | all_0_117_117 = e11
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (979), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (813) all_0_117_117 = e12
% 19.37/4.95 |
% 19.37/4.95 | Equations (813) can reduce 792 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (792) ~ (all_0_117_117 = e12)
% 19.37/4.95 | (744) all_0_117_117 = e11
% 19.37/4.95 |
% 19.37/4.95 | Equations (744) can reduce 982 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (674) ~ (all_0_120_120 = e10)
% 19.37/4.95 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (1039), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (771) all_0_121_121 = e10
% 19.37/4.95 |
% 19.37/4.95 | Equations (771) can reduce 1035 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (1035) ~ (all_0_121_121 = e10)
% 19.37/4.95 | (726) all_0_123_123 = e10
% 19.37/4.95 |
% 19.37/4.95 | Equations (726) can reduce 754 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (781) ~ (all_0_112_112 = e10)
% 19.37/4.95 | (771) all_0_121_121 = e10
% 19.37/4.95 |
% 19.37/4.95 | Equations (771) can reduce 208 to:
% 19.37/4.95 | (781) ~ (all_0_112_112 = e10)
% 19.37/4.95 |
% 19.37/4.95 | Equations (771) can reduce 14 to:
% 19.37/4.95 | (290) ~ (all_0_118_118 = e10)
% 19.37/4.95 |
% 19.37/4.95 | Equations (771) can reduce 5 to:
% 19.37/4.95 | (674) ~ (all_0_120_120 = e10)
% 19.37/4.95 |
% 19.37/4.95 | Equations (771) can reduce 23 to:
% 19.37/4.95 | (784) ~ (e11 = e10)
% 19.37/4.95 |
% 19.37/4.95 | Simplifying 784 yields:
% 19.37/4.95 | (284) ~ (e11 = e10)
% 19.37/4.95 |
% 19.37/4.95 | From (771) and (162) follows:
% 19.37/4.95 | (1610) h1(e10) = all_0_89_89
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (225), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (736) all_0_112_112 = e12
% 19.37/4.95 |
% 19.37/4.95 | Equations (736) can reduce 694 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (694) ~ (all_0_112_112 = e12)
% 19.37/4.95 | (1614) all_0_118_118 = e12 | all_0_121_121 = e12
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (1614), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (824) all_0_118_118 = e12
% 19.37/4.95 |
% 19.37/4.95 | Equations (824) can reduce 46 to:
% 19.37/4.95 | (694) ~ (all_0_112_112 = e12)
% 19.37/4.95 |
% 19.37/4.95 | Equations (824) can reduce 212 to:
% 19.37/4.95 | (684) ~ (all_0_119_119 = e12)
% 19.37/4.95 |
% 19.37/4.95 | Simplifying 684 yields:
% 19.37/4.95 | (685) ~ (all_0_119_119 = e12)
% 19.37/4.95 |
% 19.37/4.95 | Equations (824) can reduce 153 to:
% 19.37/4.95 | (299) ~ (e12 = e11)
% 19.37/4.95 |
% 19.37/4.95 | Equations (824) can reduce 290 to:
% 19.37/4.95 | (147) ~ (e12 = e10)
% 19.37/4.95 |
% 19.37/4.95 | From (824) and (109) follows:
% 19.37/4.95 | (1621) h1(e12) = all_0_82_82
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (354), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (828) all_0_112_112 = e13
% 19.37/4.95 |
% 19.37/4.95 | From (828) and (184) follows:
% 19.37/4.95 | (1623) h1(e13) = all_0_69_69
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (83), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (787) all_0_111_111 = e10
% 19.37/4.95 |
% 19.37/4.95 | Equations (787) can reduce 270 to:
% 19.37/4.95 | (673) ~ (all_0_120_120 = e10)
% 19.37/4.95 |
% 19.37/4.95 | Simplifying 673 yields:
% 19.37/4.95 | (674) ~ (all_0_120_120 = e10)
% 19.37/4.95 |
% 19.37/4.95 | Equations (787) can reduce 1219 to:
% 19.37/4.95 | (716) ~ (e12 = e10)
% 19.37/4.95 |
% 19.37/4.95 | Simplifying 716 yields:
% 19.37/4.95 | (147) ~ (e12 = e10)
% 19.37/4.95 |
% 19.37/4.95 | From (787) and (222) follows:
% 19.37/4.95 | (1629) h1(e10) = all_0_67_67
% 19.37/4.95 |
% 19.37/4.95 +-Applying beta-rule and splitting (155), into two cases.
% 19.37/4.95 |-Branch one:
% 19.37/4.95 | (834) all_0_111_111 = e11
% 19.37/4.95 |
% 19.37/4.95 | Combining equations (787,834) yields a new equation:
% 19.37/4.95 | (803) e11 = e10
% 19.37/4.95 |
% 19.37/4.95 | Equations (803) can reduce 284 to:
% 19.37/4.95 | (392) $false
% 19.37/4.95 |
% 19.37/4.95 |-The branch is then unsatisfiable
% 19.37/4.95 |-Branch two:
% 19.37/4.95 | (936) ~ (all_0_111_111 = e11)
% 19.37/4.95 | (1577) all_0_117_117 = e11 | all_0_120_120 = e11
% 19.37/4.95 |
% 19.37/4.96 | Equations (787) can reduce 936 to:
% 19.37/4.96 | (784) ~ (e11 = e10)
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 784 yields:
% 19.37/4.96 | (284) ~ (e11 = e10)
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (172), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (834) all_0_111_111 = e11
% 19.37/4.96 |
% 19.37/4.96 | Combining equations (787,834) yields a new equation:
% 19.37/4.96 | (803) e11 = e10
% 19.37/4.96 |
% 19.37/4.96 | Equations (803) can reduce 284 to:
% 19.37/4.96 | (392) $false
% 19.37/4.96 |
% 19.37/4.96 |-The branch is then unsatisfiable
% 19.37/4.96 |-Branch two:
% 19.37/4.96 | (936) ~ (all_0_111_111 = e11)
% 19.37/4.96 | (937) all_0_113_113 = e11 | all_0_114_114 = e11
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (937), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (747) all_0_113_113 = e11
% 19.37/4.96 |
% 19.37/4.96 | Combining equations (693,747) yields a new equation:
% 19.37/4.96 | (748) e12 = e11
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 748 yields:
% 19.37/4.96 | (749) e12 = e11
% 19.37/4.96 |
% 19.37/4.96 | Equations (749) can reduce 299 to:
% 19.37/4.96 | (392) $false
% 19.37/4.96 |
% 19.37/4.96 |-The branch is then unsatisfiable
% 19.37/4.96 |-Branch two:
% 19.37/4.96 | (942) ~ (all_0_113_113 = e11)
% 19.37/4.96 | (802) all_0_114_114 = e11
% 19.37/4.96 |
% 19.37/4.96 | Equations (802) can reduce 359 to:
% 19.37/4.96 | (1173) ~ (all_0_119_119 = e11)
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 1173 yields:
% 19.37/4.96 | (998) ~ (all_0_119_119 = e11)
% 19.37/4.96 |
% 19.37/4.96 | From (802) and (274) follows:
% 19.37/4.96 | (1650) h1(e11) = all_0_73_73
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (173), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (744) all_0_117_117 = e11
% 19.37/4.96 |
% 19.37/4.96 | Equations (744) can reduce 91 to:
% 19.37/4.96 | (1173) ~ (all_0_119_119 = e11)
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 1173 yields:
% 19.37/4.96 | (998) ~ (all_0_119_119 = e11)
% 19.37/4.96 |
% 19.37/4.96 | Equations (744) can reduce 303 to:
% 19.37/4.96 | (1074) ~ (all_0_120_120 = e11)
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 1074 yields:
% 19.37/4.96 | (1075) ~ (all_0_120_120 = e11)
% 19.37/4.96 |
% 19.37/4.96 | From (744) and (296) follows:
% 19.37/4.96 | (1656) h1(e11) = all_0_80_80
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (193), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (1552) all_0_119_119 = e13
% 19.37/4.96 |
% 19.37/4.96 | Equations (1552) can reduce 150 to:
% 19.37/4.96 | (1439) ~ (all_0_123_123 = e13)
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 1439 yields:
% 19.37/4.96 | (946) ~ (all_0_123_123 = e13)
% 19.37/4.96 |
% 19.37/4.96 | Equations (1552) can reduce 159 to:
% 19.37/4.96 | (189) ~ (e13 = e10)
% 19.37/4.96 |
% 19.37/4.96 | From (1552) and (106) follows:
% 19.37/4.96 | (1661) h1(e13) = all_0_85_85
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (6), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (1176) all_0_111_111 = e13
% 19.37/4.96 |
% 19.37/4.96 | Combining equations (787,1176) yields a new equation:
% 19.37/4.96 | (950) e13 = e10
% 19.37/4.96 |
% 19.37/4.96 | Equations (950) can reduce 189 to:
% 19.37/4.96 | (392) $false
% 19.37/4.96 |
% 19.37/4.96 |-The branch is then unsatisfiable
% 19.37/4.96 |-Branch two:
% 19.37/4.96 | (738) ~ (all_0_111_111 = e13)
% 19.37/4.96 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 19.37/4.96 |
% 19.37/4.96 | Equations (787) can reduce 738 to:
% 19.37/4.96 | (675) ~ (e13 = e10)
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 675 yields:
% 19.37/4.96 | (189) ~ (e13 = e10)
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (43), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (832) all_0_123_123 = e13
% 19.37/4.96 |
% 19.37/4.96 | Equations (832) can reduce 946 to:
% 19.37/4.96 | (392) $false
% 19.37/4.96 |
% 19.37/4.96 |-The branch is then unsatisfiable
% 19.37/4.96 |-Branch two:
% 19.37/4.96 | (946) ~ (all_0_123_123 = e13)
% 19.37/4.96 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (337), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (791) all_0_120_120 = e12
% 19.37/4.96 |
% 19.37/4.96 | Equations (791) can reduce 1001 to:
% 19.37/4.96 | (392) $false
% 19.37/4.96 |
% 19.37/4.96 |-The branch is then unsatisfiable
% 19.37/4.96 |-Branch two:
% 19.37/4.96 | (1001) ~ (all_0_120_120 = e12)
% 19.37/4.96 | (1002) all_0_121_121 = e12 | all_0_122_122 = e12 | all_0_123_123 = e12
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (204), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (753) all_0_120_120 = e13
% 19.37/4.96 |
% 19.37/4.96 | Equations (753) can reduce 1075 to:
% 19.37/4.96 | (341) ~ (e13 = e11)
% 19.37/4.96 |
% 19.37/4.96 | Equations (753) can reduce 674 to:
% 19.37/4.96 | (189) ~ (e13 = e10)
% 19.37/4.96 |
% 19.37/4.96 | From (753) and (3) follows:
% 19.37/4.96 | (1680) h1(e13) = all_0_87_87
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (1002), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (765) all_0_121_121 = e12
% 19.37/4.96 |
% 19.37/4.96 | Combining equations (765,771) yields a new equation:
% 19.37/4.96 | (1004) e12 = e10
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 1004 yields:
% 19.37/4.96 | (679) e12 = e10
% 19.37/4.96 |
% 19.37/4.96 | Equations (679) can reduce 147 to:
% 19.37/4.96 | (392) $false
% 19.37/4.96 |
% 19.37/4.96 |-The branch is then unsatisfiable
% 19.37/4.96 |-Branch two:
% 19.37/4.96 | (1007) ~ (all_0_121_121 = e12)
% 19.37/4.96 | (1008) all_0_122_122 = e12 | all_0_123_123 = e12
% 19.37/4.96 |
% 19.37/4.96 | Equations (771) can reduce 1007 to:
% 19.37/4.96 | (716) ~ (e12 = e10)
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 716 yields:
% 19.37/4.96 | (147) ~ (e12 = e10)
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (947), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (1013) all_0_123_123 = e12
% 19.37/4.96 |
% 19.37/4.96 | From (1013) and (310) follows:
% 19.37/4.96 | (1690) h1(e12) = all_0_93_93
% 19.37/4.96 |
% 19.37/4.96 | Instantiating formula (154) with e13, all_0_69_69, e23 and discharging atoms h1(e13) = all_0_69_69, h1(e13) = e23, yields:
% 19.37/4.96 | (1691) all_0_69_69 = e23
% 19.37/4.96 |
% 19.37/4.96 | Instantiating formula (154) with e13, all_0_85_85, all_0_69_69 and discharging atoms h1(e13) = all_0_69_69, h1(e13) = all_0_85_85, yields:
% 19.37/4.96 | (1692) all_0_69_69 = all_0_85_85
% 19.37/4.96 |
% 19.37/4.96 | Instantiating formula (154) with e13, all_0_87_87, all_0_85_85 and discharging atoms h1(e13) = all_0_85_85, h1(e13) = all_0_87_87, yields:
% 19.37/4.96 | (1693) all_0_85_85 = all_0_87_87
% 19.37/4.96 |
% 19.37/4.96 | Instantiating formula (154) with e12, all_0_82_82, e20 and discharging atoms h1(e12) = all_0_82_82, h1(e12) = e20, yields:
% 19.37/4.96 | (1694) all_0_82_82 = e20
% 19.37/4.96 |
% 19.37/4.96 | Instantiating formula (154) with e12, all_0_93_93, all_0_82_82 and discharging atoms h1(e12) = all_0_82_82, h1(e12) = all_0_93_93, yields:
% 19.37/4.96 | (1695) all_0_82_82 = all_0_93_93
% 19.37/4.96 |
% 19.37/4.96 | Instantiating formula (154) with e11, all_0_73_73, e22 and discharging atoms h1(e11) = all_0_73_73, h1(e11) = e22, yields:
% 19.37/4.96 | (1696) all_0_73_73 = e22
% 19.37/4.96 |
% 19.37/4.96 | Instantiating formula (154) with e11, all_0_80_80, all_0_73_73 and discharging atoms h1(e11) = all_0_73_73, h1(e11) = all_0_80_80, yields:
% 19.37/4.96 | (1697) all_0_73_73 = all_0_80_80
% 19.37/4.96 |
% 19.37/4.96 | Instantiating formula (154) with e10, all_0_67_67, e21 and discharging atoms h1(e10) = all_0_67_67, h1(e10) = e21, yields:
% 19.37/4.96 | (1698) all_0_67_67 = e21
% 19.37/4.96 |
% 19.37/4.96 | Instantiating formula (154) with e10, all_0_89_89, all_0_67_67 and discharging atoms h1(e10) = all_0_67_67, h1(e10) = all_0_89_89, yields:
% 19.37/4.96 | (1699) all_0_67_67 = all_0_89_89
% 19.37/4.96 |
% 19.37/4.96 | Combining equations (1699,1698) yields a new equation:
% 19.37/4.96 | (1700) all_0_89_89 = e21
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 1700 yields:
% 19.37/4.96 | (1701) all_0_89_89 = e21
% 19.37/4.96 |
% 19.37/4.96 | Combining equations (1692,1691) yields a new equation:
% 19.37/4.96 | (1702) all_0_85_85 = e23
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 1702 yields:
% 19.37/4.96 | (1703) all_0_85_85 = e23
% 19.37/4.96 |
% 19.37/4.96 | Combining equations (1697,1696) yields a new equation:
% 19.37/4.96 | (1704) all_0_80_80 = e22
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 1704 yields:
% 19.37/4.96 | (1705) all_0_80_80 = e22
% 19.37/4.96 |
% 19.37/4.96 | Combining equations (1694,1695) yields a new equation:
% 19.37/4.96 | (1706) all_0_93_93 = e20
% 19.37/4.96 |
% 19.37/4.96 | Combining equations (1693,1703) yields a new equation:
% 19.37/4.96 | (1707) all_0_87_87 = e23
% 19.37/4.96 |
% 19.37/4.96 | Simplifying 1707 yields:
% 19.37/4.96 | (1708) all_0_87_87 = e23
% 19.37/4.96 |
% 19.37/4.96 | Combining equations (1706,1695) yields a new equation:
% 19.37/4.96 | (1694) all_0_82_82 = e20
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (358), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (1710) ~ (all_0_66_66 = all_0_67_67)
% 19.37/4.96 |
% 19.37/4.96 | Equations (629,1698) can reduce 1710 to:
% 19.37/4.96 | (392) $false
% 19.37/4.96 |
% 19.37/4.96 |-The branch is then unsatisfiable
% 19.37/4.96 |-Branch two:
% 19.37/4.96 | (1712) all_0_66_66 = all_0_67_67
% 19.37/4.96 | (1713) ~ (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_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (1713), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (1714) ~ (all_0_68_68 = all_0_69_69)
% 19.37/4.96 |
% 19.37/4.96 | Equations (657,1691) can reduce 1714 to:
% 19.37/4.96 | (392) $false
% 19.37/4.96 |
% 19.37/4.96 |-The branch is then unsatisfiable
% 19.37/4.96 |-Branch two:
% 19.37/4.96 | (1716) all_0_68_68 = all_0_69_69
% 19.37/4.96 | (1717) ~ (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_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.96 |
% 19.37/4.96 +-Applying beta-rule and splitting (1717), into two cases.
% 19.37/4.96 |-Branch one:
% 19.37/4.96 | (1718) ~ (all_0_70_70 = all_0_71_71)
% 19.37/4.96 |
% 19.37/4.96 | Equations (655,1344) can reduce 1718 to:
% 19.37/4.96 | (392) $false
% 19.37/4.96 |
% 19.37/4.96 |-The branch is then unsatisfiable
% 19.37/4.96 |-Branch two:
% 19.37/4.96 | (1720) all_0_70_70 = all_0_71_71
% 19.37/4.96 | (1721) ~ (all_0_72_72 = all_0_73_73) | ~ (all_0_74_74 = all_0_75_75) | ~ (all_0_76_76 = all_0_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1721), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1722) ~ (all_0_72_72 = all_0_73_73)
% 19.37/4.97 |
% 19.37/4.97 | Equations (632,1696) can reduce 1722 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1724) all_0_72_72 = all_0_73_73
% 19.37/4.97 | (1725) ~ (all_0_74_74 = all_0_75_75) | ~ (all_0_76_76 = all_0_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1725), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1726) ~ (all_0_74_74 = all_0_75_75)
% 19.37/4.97 |
% 19.37/4.97 | Equations (661,1317) can reduce 1726 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1728) all_0_74_74 = all_0_75_75
% 19.37/4.97 | (1729) ~ (all_0_76_76 = all_0_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1729), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1730) ~ (all_0_76_76 = all_0_96_96)
% 19.37/4.97 |
% 19.37/4.97 | Equations (588,576) can reduce 1730 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (367) all_0_76_76 = all_0_96_96
% 19.37/4.97 | (1733) ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 | Combining equations (588,367) yields a new equation:
% 19.37/4.97 | (576) all_0_96_96 = e23
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1733), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1735) ~ (all_0_77_77 = all_0_78_78)
% 19.37/4.97 |
% 19.37/4.97 | Equations (662,1318) can reduce 1735 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1737) all_0_77_77 = all_0_78_78
% 19.37/4.97 | (1738) ~ (all_0_79_79 = all_0_80_80) | ~ (all_0_81_81 = all_0_82_82) | ~ (all_0_83_83 = all_0_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1738), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1739) ~ (all_0_79_79 = all_0_80_80)
% 19.37/4.97 |
% 19.37/4.97 | Equations (653,1705) can reduce 1739 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1741) all_0_79_79 = all_0_80_80
% 19.37/4.97 | (1742) ~ (all_0_81_81 = all_0_82_82) | ~ (all_0_83_83 = all_0_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1742), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1743) ~ (all_0_81_81 = all_0_82_82)
% 19.37/4.97 |
% 19.37/4.97 | Equations (567,1694) can reduce 1743 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1745) all_0_81_81 = all_0_82_82
% 19.37/4.97 | (1746) ~ (all_0_83_83 = all_0_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1746), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1747) ~ (all_0_83_83 = all_0_97_97)
% 19.37/4.97 |
% 19.37/4.97 | Equations (587,564) can reduce 1747 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (368) all_0_83_83 = all_0_97_97
% 19.37/4.97 | (1750) ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 | Combining equations (587,368) yields a new equation:
% 19.37/4.97 | (564) all_0_97_97 = e21
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1750), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1752) ~ (all_0_84_84 = all_0_85_85)
% 19.37/4.97 |
% 19.37/4.97 | Equations (654,1703) can reduce 1752 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1754) all_0_84_84 = all_0_85_85
% 19.37/4.97 | (1755) ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1755), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1756) ~ (all_0_86_86 = all_0_87_87)
% 19.37/4.97 |
% 19.37/4.97 | Equations (641,1708) can reduce 1756 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1758) all_0_86_86 = all_0_87_87
% 19.37/4.97 | (1759) ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1759), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1760) ~ (all_0_88_88 = all_0_89_89)
% 19.37/4.97 |
% 19.37/4.97 | Equations (659,1701) can reduce 1760 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1762) all_0_88_88 = all_0_89_89
% 19.37/4.97 | (1763) ~ (all_0_90_90 = all_0_91_91) | ~ (all_0_92_92 = all_0_93_93) | ( ~ (all_0_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1763), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1764) ~ (all_0_90_90 = all_0_91_91)
% 19.37/4.97 |
% 19.37/4.97 | Equations (658,1345) can reduce 1764 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1766) all_0_90_90 = all_0_91_91
% 19.37/4.97 | (1767) ~ (all_0_92_92 = all_0_93_93) | ( ~ (all_0_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1767), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1768) ~ (all_0_92_92 = all_0_93_93)
% 19.37/4.97 |
% 19.37/4.97 | Equations (644,1706) can reduce 1768 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1770) all_0_92_92 = all_0_93_93
% 19.37/4.97 | (1771) ( ~ (all_0_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1771), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1772) ( ~ (all_0_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22))
% 19.37/4.97 |
% 19.37/4.97 +-Applying beta-rule and splitting (1772), into two cases.
% 19.37/4.97 |-Branch one:
% 19.37/4.97 | (1773) ~ (all_0_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)
% 19.37/4.97 |
% 19.37/4.97 | Applying alpha-rule on (1773) yields:
% 19.37/4.97 | (1774) ~ (all_0_96_96 = e23)
% 19.37/4.97 | (1775) ~ (all_0_97_97 = e23)
% 19.37/4.97 | (481) ~ (all_0_110_110 = e23)
% 19.37/4.97 |
% 19.37/4.97 | Equations (576) can reduce 1774 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1778) ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)
% 19.37/4.97 |
% 19.37/4.97 | Applying alpha-rule on (1778) yields:
% 19.37/4.97 | (1779) ~ (all_0_96_96 = e22)
% 19.37/4.97 | (1780) ~ (all_0_97_97 = e22)
% 19.37/4.97 | (1781) ~ (all_0_110_110 = e22)
% 19.37/4.97 |
% 19.37/4.97 | Equations (549) can reduce 1781 to:
% 19.37/4.97 | (392) $false
% 19.37/4.97 |
% 19.37/4.97 |-The branch is then unsatisfiable
% 19.37/4.97 |-Branch two:
% 19.37/4.97 | (1783) ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21)
% 19.37/4.97 |
% 19.37/4.97 | Applying alpha-rule on (1783) yields:
% 19.37/4.97 | (1784) ~ (all_0_96_96 = e21)
% 19.37/4.97 | (1785) ~ (all_0_97_97 = e21)
% 19.37/4.97 | (1786) ~ (all_0_110_110 = e21)
% 19.37/4.97 |
% 19.37/4.98 | Equations (564) can reduce 1785 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (687) ~ (all_0_123_123 = e12)
% 19.37/4.98 | (1789) all_0_123_123 = e11 | all_0_123_123 = e10
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (9), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (1206) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13)
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (1206), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (1207) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (1207), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (1208) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (1208), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (1209) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11)
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (1209), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (1210) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10))
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (1210), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (1211) all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)
% 19.37/4.98 |
% 19.37/4.98 | Applying alpha-rule on (1211) yields:
% 19.37/4.98 | (1176) all_0_111_111 = e13
% 19.37/4.98 | (1213) ~ (all_0_123_123 = e13) | all_0_120_120 = e10
% 19.37/4.98 |
% 19.37/4.98 | Combining equations (787,1176) yields a new equation:
% 19.37/4.98 | (950) e13 = e10
% 19.37/4.98 |
% 19.37/4.98 | Equations (950) can reduce 189 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (1215) all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)
% 19.37/4.98 |
% 19.37/4.98 | Applying alpha-rule on (1215) yields:
% 19.37/4.98 | (1216) all_0_111_111 = e12
% 19.37/4.98 | (828) all_0_112_112 = e13
% 19.37/4.98 | (1218) ~ (all_0_123_123 = e12) | all_0_121_121 = e10
% 19.37/4.98 |
% 19.37/4.98 | Combining equations (1216,787) yields a new equation:
% 19.37/4.98 | (1004) e12 = e10
% 19.37/4.98 |
% 19.37/4.98 | Simplifying 1004 yields:
% 19.37/4.98 | (679) e12 = e10
% 19.37/4.98 |
% 19.37/4.98 | Equations (679) can reduce 147 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (1224) all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11
% 19.37/4.98 |
% 19.37/4.98 | Applying alpha-rule on (1224) yields:
% 19.37/4.98 | (787) all_0_111_111 = e10
% 19.37/4.98 | (752) all_0_114_114 = e13
% 19.37/4.98 | (779) all_0_119_119 = e11
% 19.37/4.98 |
% 19.37/4.98 | Combining equations (779,1552) yields a new equation:
% 19.37/4.98 | (1245) e13 = e11
% 19.37/4.98 |
% 19.37/4.98 | Equations (1245) can reduce 341 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (1231) all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 19.37/4.98 |
% 19.37/4.98 | Applying alpha-rule on (1231) yields:
% 19.37/4.98 | (779) all_0_119_119 = e11
% 19.37/4.98 | (726) all_0_123_123 = e10
% 19.37/4.98 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 19.37/4.98 |
% 19.37/4.98 | Combining equations (779,1552) yields a new equation:
% 19.37/4.98 | (1245) e13 = e11
% 19.37/4.98 |
% 19.37/4.98 | Equations (1245) can reduce 341 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (1237) all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 19.37/4.98 |
% 19.37/4.98 | Applying alpha-rule on (1237) yields:
% 19.37/4.98 | (779) all_0_119_119 = e11
% 19.37/4.98 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 19.37/4.98 |
% 19.37/4.98 | Combining equations (1552,779) yields a new equation:
% 19.37/4.98 | (1244) e13 = e11
% 19.37/4.98 |
% 19.37/4.98 | Simplifying 1244 yields:
% 19.37/4.98 | (1245) e13 = e11
% 19.37/4.98 |
% 19.37/4.98 | Equations (1245) can reduce 341 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (1241) all_0_120_120 = e10 & all_0_123_123 = e13
% 19.37/4.98 |
% 19.37/4.98 | Applying alpha-rule on (1241) yields:
% 19.37/4.98 | (759) all_0_120_120 = e10
% 19.37/4.98 | (832) all_0_123_123 = e13
% 19.37/4.98 |
% 19.37/4.98 | Combining equations (759,753) yields a new equation:
% 19.37/4.98 | (950) e13 = e10
% 19.37/4.98 |
% 19.37/4.98 | Equations (950) can reduce 189 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (1247) all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13)
% 19.37/4.98 |
% 19.37/4.98 | Applying alpha-rule on (1247) yields:
% 19.37/4.98 | (771) all_0_121_121 = e10
% 19.37/4.98 | (1013) all_0_123_123 = e12
% 19.37/4.98 | (1250) ~ (all_0_111_111 = e12) | all_0_112_112 = e13
% 19.37/4.98 |
% 19.37/4.98 | Equations (1013) can reduce 687 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (959) ~ (all_0_120_120 = e13)
% 19.37/4.98 | (1836) all_0_120_120 = e12 | all_0_120_120 = e11 | all_0_120_120 = e10
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (357), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (753) all_0_120_120 = e13
% 19.37/4.98 |
% 19.37/4.98 | Equations (753) can reduce 959 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (959) ~ (all_0_120_120 = e13)
% 19.37/4.98 | (960) all_0_121_121 = e13 | all_0_123_123 = e13
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (960), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (961) all_0_121_121 = e13
% 19.37/4.98 |
% 19.37/4.98 | Combining equations (961,771) yields a new equation:
% 19.37/4.98 | (949) e13 = e10
% 19.37/4.98 |
% 19.37/4.98 | Simplifying 949 yields:
% 19.37/4.98 | (950) e13 = e10
% 19.37/4.98 |
% 19.37/4.98 | Equations (950) can reduce 189 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (964) ~ (all_0_121_121 = e13)
% 19.37/4.98 | (832) all_0_123_123 = e13
% 19.37/4.98 |
% 19.37/4.98 | Equations (832) can reduce 946 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (1556) ~ (all_0_119_119 = e13)
% 19.37/4.98 | (1849) all_0_119_119 = e12 | all_0_119_119 = e11
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (1849), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (1476) all_0_119_119 = e12
% 19.37/4.98 |
% 19.37/4.98 | Equations (1476) can reduce 685 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (685) ~ (all_0_119_119 = e12)
% 19.37/4.98 | (779) all_0_119_119 = e11
% 19.37/4.98 |
% 19.37/4.98 | Equations (779) can reduce 998 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (982) ~ (all_0_117_117 = e11)
% 19.37/4.98 | (779) all_0_119_119 = e11
% 19.37/4.98 |
% 19.37/4.98 | Equations (779) can reduce 998 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (670) ~ (all_0_111_111 = e10)
% 19.37/4.98 | (1859) all_0_115_115 = e10 | all_0_120_120 = e10
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (1859), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (669) all_0_115_115 = e10
% 19.37/4.98 |
% 19.37/4.98 | Combining equations (669,678) yields a new equation:
% 19.37/4.98 | (679) e12 = e10
% 19.37/4.98 |
% 19.37/4.98 | Equations (679) can reduce 147 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (1297) ~ (all_0_115_115 = e10)
% 19.37/4.98 | (759) all_0_120_120 = e10
% 19.37/4.98 |
% 19.37/4.98 | Equations (759) can reduce 674 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (967) ~ (all_0_112_112 = e13)
% 19.37/4.98 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (335), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (828) all_0_112_112 = e13
% 19.37/4.98 |
% 19.37/4.98 | Equations (828) can reduce 967 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (967) ~ (all_0_112_112 = e13)
% 19.37/4.98 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 19.37/4.98 |
% 19.37/4.98 +-Applying beta-rule and splitting (972), into two cases.
% 19.37/4.98 |-Branch one:
% 19.37/4.98 | (736) all_0_112_112 = e12
% 19.37/4.98 |
% 19.37/4.98 | Equations (736) can reduce 694 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (694) ~ (all_0_112_112 = e12)
% 19.37/4.98 | (713) all_0_112_112 = e10
% 19.37/4.98 |
% 19.37/4.98 | Equations (713) can reduce 781 to:
% 19.37/4.98 | (392) $false
% 19.37/4.98 |
% 19.37/4.98 |-The branch is then unsatisfiable
% 19.37/4.98 |-Branch two:
% 19.37/4.98 | (1877) ~ (all_0_118_118 = e12)
% 19.37/4.98 | (765) all_0_121_121 = e12
% 19.37/4.98 |
% 19.37/4.99 | Combining equations (765,771) yields a new equation:
% 19.37/4.99 | (1004) e12 = e10
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 1004 yields:
% 19.37/4.99 | (679) e12 = e10
% 19.37/4.99 |
% 19.37/4.99 | Equations (679) can reduce 147 to:
% 19.37/4.99 | (392) $false
% 19.37/4.99 |
% 19.37/4.99 |-The branch is then unsatisfiable
% 19.37/4.99 |-Branch two:
% 19.37/4.99 | (1015) ~ (all_0_113_113 = e12)
% 19.37/4.99 | (699) all_0_122_122 = e12
% 19.37/4.99 |
% 19.37/4.99 | Equations (699) can reduce 200 to:
% 19.37/4.99 | (1015) ~ (all_0_113_113 = e12)
% 19.37/4.99 |
% 19.37/4.99 | Equations (699) can reduce 16 to:
% 19.37/4.99 | (1001) ~ (all_0_120_120 = e12)
% 19.37/4.99 |
% 19.37/4.99 | Equations (699) can reduce 118 to:
% 19.37/4.99 | (686) ~ (all_0_123_123 = e12)
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 686 yields:
% 19.37/4.99 | (687) ~ (all_0_123_123 = e12)
% 19.37/4.99 |
% 19.37/4.99 | Equations (699) can reduce 293 to:
% 19.37/4.99 | (1052) ~ (e13 = e12)
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 1052 yields:
% 19.37/4.99 | (278) ~ (e13 = e12)
% 19.37/4.99 |
% 19.37/4.99 | Equations (699) can reduce 77 to:
% 19.37/4.99 | (147) ~ (e12 = e10)
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (135), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (693) all_0_113_113 = e12
% 19.37/4.99 |
% 19.37/4.99 | Equations (693) can reduce 1015 to:
% 19.37/4.99 | (392) $false
% 19.37/4.99 |
% 19.37/4.99 |-The branch is then unsatisfiable
% 19.37/4.99 |-Branch two:
% 19.37/4.99 | (1015) ~ (all_0_113_113 = e12)
% 19.37/4.99 | (747) all_0_113_113 = e11
% 19.37/4.99 |
% 19.37/4.99 | Equations (747) can reduce 283 to:
% 19.37/4.99 | (1895) ~ (all_0_114_114 = e11)
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 1895 yields:
% 19.37/4.99 | (805) ~ (all_0_114_114 = e11)
% 19.37/4.99 |
% 19.37/4.99 | Equations (747) can reduce 1015 to:
% 19.37/4.99 | (706) ~ (e12 = e11)
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 706 yields:
% 19.37/4.99 | (299) ~ (e12 = e11)
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (124), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (713) all_0_112_112 = e10
% 19.37/4.99 |
% 19.37/4.99 | Equations (713) can reduce 24 to:
% 19.37/4.99 | (670) ~ (all_0_111_111 = e10)
% 19.37/4.99 |
% 19.37/4.99 | Equations (713) can reduce 207 to:
% 19.37/4.99 | (714) ~ (all_0_114_114 = e10)
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 714 yields:
% 19.37/4.99 | (715) ~ (all_0_114_114 = e10)
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (218), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (1216) all_0_111_111 = e12
% 19.37/4.99 |
% 19.37/4.99 | Equations (1216) can reduce 1219 to:
% 19.37/4.99 | (392) $false
% 19.37/4.99 |
% 19.37/4.99 |-The branch is then unsatisfiable
% 19.37/4.99 |-Branch two:
% 19.37/4.99 | (1219) ~ (all_0_111_111 = e12)
% 19.37/4.99 | (1906) all_0_112_112 = e12 | all_0_113_113 = e12 | all_0_114_114 = e12
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (1906), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (736) all_0_112_112 = e12
% 19.37/4.99 |
% 19.37/4.99 | Combining equations (736,713) yields a new equation:
% 19.37/4.99 | (1004) e12 = e10
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 1004 yields:
% 19.37/4.99 | (679) e12 = e10
% 19.37/4.99 |
% 19.37/4.99 | Equations (679) can reduce 147 to:
% 19.37/4.99 | (392) $false
% 19.37/4.99 |
% 19.37/4.99 |-The branch is then unsatisfiable
% 19.37/4.99 |-Branch two:
% 19.37/4.99 | (694) ~ (all_0_112_112 = e12)
% 19.37/4.99 | (1912) all_0_113_113 = e12 | all_0_114_114 = e12
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (1912), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (693) all_0_113_113 = e12
% 19.37/4.99 |
% 19.37/4.99 | Combining equations (693,747) yields a new equation:
% 19.37/4.99 | (748) e12 = e11
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 748 yields:
% 19.37/4.99 | (749) e12 = e11
% 19.37/4.99 |
% 19.37/4.99 | Equations (749) can reduce 299 to:
% 19.37/4.99 | (392) $false
% 19.37/4.99 |
% 19.37/4.99 |-The branch is then unsatisfiable
% 19.37/4.99 |-Branch two:
% 19.37/4.99 | (1015) ~ (all_0_113_113 = e12)
% 19.37/4.99 | (1465) all_0_114_114 = e12
% 19.37/4.99 |
% 19.37/4.99 | Equations (1465) can reduce 805 to:
% 19.37/4.99 | (299) ~ (e12 = e11)
% 19.37/4.99 |
% 19.37/4.99 | Equations (1465) can reduce 715 to:
% 19.37/4.99 | (147) ~ (e12 = e10)
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (83), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (787) all_0_111_111 = e10
% 19.37/4.99 |
% 19.37/4.99 | Equations (787) can reduce 670 to:
% 19.37/4.99 | (392) $false
% 19.37/4.99 |
% 19.37/4.99 |-The branch is then unsatisfiable
% 19.37/4.99 |-Branch two:
% 19.37/4.99 | (670) ~ (all_0_111_111 = e10)
% 19.37/4.99 | (1859) all_0_115_115 = e10 | all_0_120_120 = e10
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (1859), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (669) all_0_115_115 = e10
% 19.37/4.99 |
% 19.37/4.99 | Combining equations (678,669) yields a new equation:
% 19.37/4.99 | (1004) e12 = e10
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 1004 yields:
% 19.37/4.99 | (679) e12 = e10
% 19.37/4.99 |
% 19.37/4.99 | Equations (679) can reduce 147 to:
% 19.37/4.99 | (392) $false
% 19.37/4.99 |
% 19.37/4.99 |-The branch is then unsatisfiable
% 19.37/4.99 |-Branch two:
% 19.37/4.99 | (1297) ~ (all_0_115_115 = e10)
% 19.37/4.99 | (759) all_0_120_120 = e10
% 19.37/4.99 |
% 19.37/4.99 | Equations (759) can reduce 5 to:
% 19.37/4.99 | (1034) ~ (all_0_121_121 = e10)
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 1034 yields:
% 19.37/4.99 | (1035) ~ (all_0_121_121 = e10)
% 19.37/4.99 |
% 19.37/4.99 | Equations (759) can reduce 1001 to:
% 19.37/4.99 | (716) ~ (e12 = e10)
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 716 yields:
% 19.37/4.99 | (147) ~ (e12 = e10)
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (132), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (1176) all_0_111_111 = e13
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (225), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (736) all_0_112_112 = e12
% 19.37/4.99 |
% 19.37/4.99 | Combining equations (736,713) yields a new equation:
% 19.37/4.99 | (1004) e12 = e10
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 1004 yields:
% 19.37/4.99 | (679) e12 = e10
% 19.37/4.99 |
% 19.37/4.99 | Equations (679) can reduce 147 to:
% 19.37/4.99 | (392) $false
% 19.37/4.99 |
% 19.37/4.99 |-The branch is then unsatisfiable
% 19.37/4.99 |-Branch two:
% 19.37/4.99 | (694) ~ (all_0_112_112 = e12)
% 19.37/4.99 | (1614) all_0_118_118 = e12 | all_0_121_121 = e12
% 19.37/4.99 |
% 19.37/4.99 | Equations (713) can reduce 694 to:
% 19.37/4.99 | (716) ~ (e12 = e10)
% 19.37/4.99 |
% 19.37/4.99 | Simplifying 716 yields:
% 19.37/4.99 | (147) ~ (e12 = e10)
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (230), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (730), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (731), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (732), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (733), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 19.37/4.99 |
% 19.37/4.99 +-Applying beta-rule and splitting (734), into two cases.
% 19.37/4.99 |-Branch one:
% 19.37/4.99 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 19.37/4.99 |
% 19.37/4.99 | Applying alpha-rule on (735) yields:
% 19.37/4.99 | (736) all_0_112_112 = e12
% 19.37/4.99 | (678) all_0_115_115 = e12
% 19.37/4.99 | (738) ~ (all_0_111_111 = e13)
% 19.37/4.99 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 19.37/4.99 |
% 19.37/4.99 | Combining equations (736,713) yields a new equation:
% 19.37/4.99 | (1004) e12 = e10
% 19.66/4.99 |
% 19.66/4.99 | Simplifying 1004 yields:
% 19.66/4.99 | (679) e12 = e10
% 19.66/4.99 |
% 19.66/4.99 | Equations (679) can reduce 147 to:
% 19.66/4.99 | (392) $false
% 19.66/4.99 |
% 19.66/4.99 |-The branch is then unsatisfiable
% 19.66/4.99 |-Branch two:
% 19.66/4.99 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 19.66/4.99 |
% 19.66/4.99 | Applying alpha-rule on (742) yields:
% 19.66/4.99 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 19.66/4.99 | (744) all_0_117_117 = e11
% 19.66/4.99 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 19.66/4.99 | (738) ~ (all_0_111_111 = e13)
% 19.66/4.99 | (747) all_0_113_113 = e11
% 19.66/4.99 |
% 19.66/4.99 | Equations (1176) can reduce 738 to:
% 19.66/4.99 | (392) $false
% 19.66/4.99 |
% 19.66/4.99 |-The branch is then unsatisfiable
% 19.66/4.99 |-Branch two:
% 19.66/4.99 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 19.66/4.99 |
% 19.66/4.99 | Applying alpha-rule on (751) yields:
% 19.66/4.99 | (752) all_0_114_114 = e13
% 19.66/4.99 | (753) all_0_120_120 = e13
% 19.66/4.99 | (754) ~ (all_0_123_123 = e10)
% 19.66/4.99 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 19.66/4.99 |
% 19.66/4.99 | Combining equations (752,1465) yields a new equation:
% 19.66/4.99 | (1969) e13 = e12
% 19.66/4.99 |
% 19.66/4.99 | Simplifying 1969 yields:
% 19.66/4.99 | (957) e13 = e12
% 19.66/4.99 |
% 19.66/4.99 | Combining equations (753,759) yields a new equation:
% 19.66/4.99 | (949) e13 = e10
% 19.66/4.99 |
% 19.66/4.99 | Simplifying 949 yields:
% 19.66/4.99 | (950) e13 = e10
% 19.66/4.99 |
% 19.66/4.99 | Combining equations (957,950) yields a new equation:
% 19.66/4.99 | (1004) e12 = e10
% 19.66/4.99 |
% 19.66/4.99 | Simplifying 1004 yields:
% 19.66/4.99 | (679) e12 = e10
% 19.66/4.99 |
% 19.66/4.99 | Equations (679) can reduce 147 to:
% 19.66/4.99 | (392) $false
% 19.66/4.99 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 19.66/5.00 |
% 19.66/5.00 | Applying alpha-rule on (757) yields:
% 19.66/5.00 | (718) all_0_114_114 = e10
% 19.66/5.00 | (759) all_0_120_120 = e10
% 19.66/5.00 | (738) ~ (all_0_111_111 = e13)
% 19.66/5.00 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 19.66/5.00 |
% 19.66/5.00 | Combining equations (718,1465) yields a new equation:
% 19.66/5.00 | (679) e12 = e10
% 19.66/5.00 |
% 19.66/5.00 | Equations (679) can reduce 147 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 19.66/5.00 |
% 19.66/5.00 | Applying alpha-rule on (763) yields:
% 19.66/5.00 | (682) all_0_116_116 = e12
% 19.66/5.00 | (765) all_0_121_121 = e12
% 19.66/5.00 | (754) ~ (all_0_123_123 = e10)
% 19.66/5.00 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 19.66/5.00 |
% 19.66/5.00 | Combining equations (722,682) yields a new equation:
% 19.66/5.00 | (679) e12 = e10
% 19.66/5.00 |
% 19.66/5.00 | Equations (679) can reduce 147 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 19.66/5.00 |
% 19.66/5.00 | Applying alpha-rule on (769) yields:
% 19.66/5.00 | (722) all_0_116_116 = e10
% 19.66/5.00 | (771) all_0_121_121 = e10
% 19.66/5.00 |
% 19.66/5.00 | Equations (771) can reduce 1035 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 19.66/5.00 |
% 19.66/5.00 | Applying alpha-rule on (774) yields:
% 19.66/5.00 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 19.66/5.00 | (754) ~ (all_0_123_123 = e10)
% 19.66/5.00 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 19.66/5.00 | (702) all_0_122_122 = e11
% 19.66/5.00 | (779) all_0_119_119 = e11
% 19.66/5.00 |
% 19.66/5.00 | Combining equations (699,702) yields a new equation:
% 19.66/5.00 | (748) e12 = e11
% 19.66/5.00 |
% 19.66/5.00 | Simplifying 748 yields:
% 19.66/5.00 | (749) e12 = e11
% 19.66/5.00 |
% 19.66/5.00 | Equations (749) can reduce 299 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (738) ~ (all_0_111_111 = e13)
% 19.66/5.00 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (1179), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (828) all_0_112_112 = e13
% 19.66/5.00 |
% 19.66/5.00 | Combining equations (828,713) yields a new equation:
% 19.66/5.00 | (949) e13 = e10
% 19.66/5.00 |
% 19.66/5.00 | Simplifying 949 yields:
% 19.66/5.00 | (950) e13 = e10
% 19.66/5.00 |
% 19.66/5.00 | Equations (950) can reduce 189 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (967) ~ (all_0_112_112 = e13)
% 19.66/5.00 | (752) all_0_114_114 = e13
% 19.66/5.00 |
% 19.66/5.00 | Combining equations (1465,752) yields a new equation:
% 19.66/5.00 | (957) e13 = e12
% 19.66/5.00 |
% 19.66/5.00 | Equations (957) can reduce 278 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (781) ~ (all_0_112_112 = e10)
% 19.66/5.00 | (771) all_0_121_121 = e10
% 19.66/5.00 |
% 19.66/5.00 | Equations (771) can reduce 208 to:
% 19.66/5.00 | (781) ~ (all_0_112_112 = e10)
% 19.66/5.00 |
% 19.66/5.00 | Equations (771) can reduce 292 to:
% 19.66/5.00 | (1146) ~ (all_0_123_123 = e10)
% 19.66/5.00 |
% 19.66/5.00 | Simplifying 1146 yields:
% 19.66/5.00 | (754) ~ (all_0_123_123 = e10)
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (50), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (787) all_0_111_111 = e10
% 19.66/5.00 |
% 19.66/5.00 | Equations (787) can reduce 24 to:
% 19.66/5.00 | (2019) ~ (all_0_112_112 = e10)
% 19.66/5.00 |
% 19.66/5.00 | Simplifying 2019 yields:
% 19.66/5.00 | (781) ~ (all_0_112_112 = e10)
% 19.66/5.00 |
% 19.66/5.00 | Equations (787) can reduce 270 to:
% 19.66/5.00 | (673) ~ (all_0_120_120 = e10)
% 19.66/5.00 |
% 19.66/5.00 | Simplifying 673 yields:
% 19.66/5.00 | (674) ~ (all_0_120_120 = e10)
% 19.66/5.00 |
% 19.66/5.00 | Equations (787) can reduce 1219 to:
% 19.66/5.00 | (716) ~ (e12 = e10)
% 19.66/5.00 |
% 19.66/5.00 | Simplifying 716 yields:
% 19.66/5.00 | (147) ~ (e12 = e10)
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (9), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (1206) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13)
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (1206), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (1207) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (1207), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (1208) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (1208), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (1209) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11)
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (1209), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (1210) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10))
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (1210), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (1211) all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)
% 19.66/5.00 |
% 19.66/5.00 | Applying alpha-rule on (1211) yields:
% 19.66/5.00 | (1176) all_0_111_111 = e13
% 19.66/5.00 | (1213) ~ (all_0_123_123 = e13) | all_0_120_120 = e10
% 19.66/5.00 |
% 19.66/5.00 | Combining equations (1176,787) yields a new equation:
% 19.66/5.00 | (949) e13 = e10
% 19.66/5.00 |
% 19.66/5.00 | Simplifying 949 yields:
% 19.66/5.00 | (950) e13 = e10
% 19.66/5.00 |
% 19.66/5.00 | Equations (950) can reduce 189 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (1215) all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)
% 19.66/5.00 |
% 19.66/5.00 | Applying alpha-rule on (1215) yields:
% 19.66/5.00 | (1216) all_0_111_111 = e12
% 19.66/5.00 | (828) all_0_112_112 = e13
% 19.66/5.00 | (1218) ~ (all_0_123_123 = e12) | all_0_121_121 = e10
% 19.66/5.00 |
% 19.66/5.00 | Combining equations (1216,787) yields a new equation:
% 19.66/5.00 | (1004) e12 = e10
% 19.66/5.00 |
% 19.66/5.00 | Simplifying 1004 yields:
% 19.66/5.00 | (679) e12 = e10
% 19.66/5.00 |
% 19.66/5.00 | Equations (679) can reduce 147 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (1224) all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11
% 19.66/5.00 |
% 19.66/5.00 | Applying alpha-rule on (1224) yields:
% 19.66/5.00 | (787) all_0_111_111 = e10
% 19.66/5.00 | (752) all_0_114_114 = e13
% 19.66/5.00 | (779) all_0_119_119 = e11
% 19.66/5.00 |
% 19.66/5.00 | Equations (752) can reduce 207 to:
% 19.66/5.00 | (967) ~ (all_0_112_112 = e13)
% 19.66/5.00 |
% 19.66/5.00 | Equations (779) can reduce 91 to:
% 19.66/5.00 | (982) ~ (all_0_117_117 = e11)
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (335), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (828) all_0_112_112 = e13
% 19.66/5.00 |
% 19.66/5.00 | Equations (828) can reduce 967 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (967) ~ (all_0_112_112 = e13)
% 19.66/5.00 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (102), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (813) all_0_117_117 = e12
% 19.66/5.00 |
% 19.66/5.00 | Equations (813) can reduce 792 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (792) ~ (all_0_117_117 = e12)
% 19.66/5.00 | (816) all_0_118_118 = e12 | all_0_119_119 = e12
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (972), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (736) all_0_112_112 = e12
% 19.66/5.00 |
% 19.66/5.00 | Equations (736) can reduce 46 to:
% 19.66/5.00 | (2058) ~ (all_0_118_118 = e12)
% 19.66/5.00 |
% 19.66/5.00 | Simplifying 2058 yields:
% 19.66/5.00 | (1877) ~ (all_0_118_118 = e12)
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (321), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (821) all_0_118_118 = e13
% 19.66/5.00 |
% 19.66/5.00 | Equations (821) can reduce 244 to:
% 19.66/5.00 | (978) ~ (all_0_117_117 = e13)
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (123), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (817) all_0_117_117 = e13
% 19.66/5.00 |
% 19.66/5.00 | Equations (817) can reduce 978 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (978) ~ (all_0_117_117 = e13)
% 19.66/5.00 | (979) all_0_117_117 = e12 | all_0_117_117 = e11
% 19.66/5.00 |
% 19.66/5.00 +-Applying beta-rule and splitting (979), into two cases.
% 19.66/5.00 |-Branch one:
% 19.66/5.00 | (813) all_0_117_117 = e12
% 19.66/5.00 |
% 19.66/5.00 | Equations (813) can reduce 792 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (792) ~ (all_0_117_117 = e12)
% 19.66/5.00 | (744) all_0_117_117 = e11
% 19.66/5.00 |
% 19.66/5.00 | Equations (744) can reduce 982 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (819) ~ (all_0_118_118 = e13)
% 19.66/5.00 | (824) all_0_118_118 = e12
% 19.66/5.00 |
% 19.66/5.00 | Equations (824) can reduce 1877 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (694) ~ (all_0_112_112 = e12)
% 19.66/5.00 | (713) all_0_112_112 = e10
% 19.66/5.00 |
% 19.66/5.00 | Equations (713) can reduce 781 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (1231) all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 19.66/5.00 |
% 19.66/5.00 | Applying alpha-rule on (1231) yields:
% 19.66/5.00 | (779) all_0_119_119 = e11
% 19.66/5.00 | (726) all_0_123_123 = e10
% 19.66/5.00 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 19.66/5.00 |
% 19.66/5.00 | Equations (726) can reduce 754 to:
% 19.66/5.00 | (392) $false
% 19.66/5.00 |
% 19.66/5.00 |-The branch is then unsatisfiable
% 19.66/5.00 |-Branch two:
% 19.66/5.00 | (1237) all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 19.66/5.00 |
% 19.66/5.00 | Applying alpha-rule on (1237) yields:
% 19.66/5.00 | (779) all_0_119_119 = e11
% 19.66/5.00 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 19.66/5.00 |
% 19.66/5.01 +-Applying beta-rule and splitting (102), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (813) all_0_117_117 = e12
% 19.66/5.01 |
% 19.66/5.01 | Equations (813) can reduce 792 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (792) ~ (all_0_117_117 = e12)
% 19.66/5.01 | (816) all_0_118_118 = e12 | all_0_119_119 = e12
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (1234), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (670) ~ (all_0_111_111 = e10)
% 19.66/5.01 |
% 19.66/5.01 | Equations (787) can reduce 670 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (787) all_0_111_111 = e10
% 19.66/5.01 | (752) all_0_114_114 = e13
% 19.66/5.01 |
% 19.66/5.01 | Equations (752) can reduce 207 to:
% 19.66/5.01 | (967) ~ (all_0_112_112 = e13)
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (335), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (828) all_0_112_112 = e13
% 19.66/5.01 |
% 19.66/5.01 | Equations (828) can reduce 967 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (967) ~ (all_0_112_112 = e13)
% 19.66/5.01 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (816), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (824) all_0_118_118 = e12
% 19.66/5.01 |
% 19.66/5.01 | Equations (824) can reduce 46 to:
% 19.66/5.01 | (694) ~ (all_0_112_112 = e12)
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (972), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (736) all_0_112_112 = e12
% 19.66/5.01 |
% 19.66/5.01 | Equations (736) can reduce 694 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (694) ~ (all_0_112_112 = e12)
% 19.66/5.01 | (713) all_0_112_112 = e10
% 19.66/5.01 |
% 19.66/5.01 | Equations (713) can reduce 781 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (1877) ~ (all_0_118_118 = e12)
% 19.66/5.01 | (1476) all_0_119_119 = e12
% 19.66/5.01 |
% 19.66/5.01 | Combining equations (779,1476) yields a new equation:
% 19.66/5.01 | (749) e12 = e11
% 19.66/5.01 |
% 19.66/5.01 | Equations (749) can reduce 299 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (1241) all_0_120_120 = e10 & all_0_123_123 = e13
% 19.66/5.01 |
% 19.66/5.01 | Applying alpha-rule on (1241) yields:
% 19.66/5.01 | (759) all_0_120_120 = e10
% 19.66/5.01 | (832) all_0_123_123 = e13
% 19.66/5.01 |
% 19.66/5.01 | Equations (759) can reduce 674 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (1247) all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13)
% 19.66/5.01 |
% 19.66/5.01 | Applying alpha-rule on (1247) yields:
% 19.66/5.01 | (771) all_0_121_121 = e10
% 19.66/5.01 | (1013) all_0_123_123 = e12
% 19.66/5.01 | (1250) ~ (all_0_111_111 = e12) | all_0_112_112 = e13
% 19.66/5.01 |
% 19.66/5.01 | Equations (1013) can reduce 687 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (670) ~ (all_0_111_111 = e10)
% 19.66/5.01 | (790) all_0_112_112 = e10 | all_0_114_114 = e10
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (790), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (713) all_0_112_112 = e10
% 19.66/5.01 |
% 19.66/5.01 | Equations (713) can reduce 781 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (781) ~ (all_0_112_112 = e10)
% 19.66/5.01 | (718) all_0_114_114 = e10
% 19.66/5.01 |
% 19.66/5.01 | Equations (718) can reduce 715 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (681) ~ (all_0_115_115 = e12)
% 19.66/5.01 | (669) all_0_115_115 = e10
% 19.66/5.01 |
% 19.66/5.01 | Equations (669) can reduce 1297 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (2128) ~ (all_0_108_108 = e23)
% 19.66/5.01 | (450) all_0_108_108 = e22
% 19.66/5.01 |
% 19.66/5.01 | Equations (450) can reduce 514 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (2131) ~ (all_0_104_104 = e23)
% 19.66/5.01 | (2132) all_0_104_104 = e22 | all_0_104_104 = e21
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (2132), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (489) all_0_104_104 = e22
% 19.66/5.01 |
% 19.66/5.01 | Equations (489) can reduce 397 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (397) ~ (all_0_104_104 = e22)
% 19.66/5.01 | (431) all_0_104_104 = e21
% 19.66/5.01 |
% 19.66/5.01 | Equations (431) can reduce 495 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (929) ~ (all_0_98_98 = e21)
% 19.66/5.01 | (2139) all_0_100_100 = e21 | all_0_101_101 = e21
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (2139), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (428) all_0_100_100 = e21
% 19.66/5.01 |
% 19.66/5.01 | Combining equations (407,428) yields a new equation:
% 19.66/5.01 | (545) e22 = e21
% 19.66/5.01 |
% 19.66/5.01 | Simplifying 545 yields:
% 19.66/5.01 | (433) e22 = e21
% 19.66/5.01 |
% 19.66/5.01 | Equations (433) can reduce 241 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (2144) ~ (all_0_100_100 = e21)
% 19.66/5.01 | (2145) all_0_101_101 = e21
% 19.66/5.01 |
% 19.66/5.01 | Combining equations (436,2145) yields a new equation:
% 19.66/5.01 | (2146) e23 = e21
% 19.66/5.01 |
% 19.66/5.01 | Simplifying 2146 yields:
% 19.66/5.01 | (2147) e23 = e21
% 19.66/5.01 |
% 19.66/5.01 | Equations (2147) can reduce 275 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (2149) ~ (all_0_101_101 = e23)
% 19.66/5.01 | (2150) all_0_101_101 = e22 | all_0_101_101 = e21
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (2150), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (525) all_0_101_101 = e22
% 19.66/5.01 |
% 19.66/5.01 | Equations (525) can reduce 409 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (409) ~ (all_0_101_101 = e22)
% 19.66/5.01 | (2145) all_0_101_101 = e21
% 19.66/5.01 |
% 19.66/5.01 | Equations (2145) can reduce 465 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (2156) ~ (all_0_100_100 = e22)
% 19.66/5.01 | (428) all_0_100_100 = e21
% 19.66/5.01 |
% 19.66/5.01 | Equations (428) can reduce 130 to:
% 19.66/5.01 | (2158) ~ (all_0_109_109 = e21)
% 19.66/5.01 |
% 19.66/5.01 | Simplifying 2158 yields:
% 19.66/5.01 | (2159) ~ (all_0_109_109 = e21)
% 19.66/5.01 |
% 19.66/5.01 | Equations (428) can reduce 2156 to:
% 19.66/5.01 | (467) ~ (e22 = e21)
% 19.66/5.01 |
% 19.66/5.01 | Simplifying 467 yields:
% 19.66/5.01 | (241) ~ (e22 = e21)
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (36), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (407) all_0_100_100 = e22
% 19.66/5.01 |
% 19.66/5.01 | Combining equations (428,407) yields a new equation:
% 19.66/5.01 | (433) e22 = e21
% 19.66/5.01 |
% 19.66/5.01 | Equations (433) can reduce 241 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (2156) ~ (all_0_100_100 = e22)
% 19.66/5.01 | (544) all_0_109_109 = e22
% 19.66/5.01 |
% 19.66/5.01 | Equations (544) can reduce 289 to:
% 19.66/5.01 | (514) ~ (all_0_108_108 = e22)
% 19.66/5.01 |
% 19.66/5.01 | Equations (544) can reduce 2159 to:
% 19.66/5.01 | (241) ~ (e22 = e21)
% 19.66/5.01 |
% 19.66/5.01 | Equations (544) can reduce 188 to:
% 19.66/5.01 | (111) ~ (e22 = e20)
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (40), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (414) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))) | (all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23))) | (all_0_103_103 = e20 & all_0_108_108 = e20)
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (414), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (415) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))) | (all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)))
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (415), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (416) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)))
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (416), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (417) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (417), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (418) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)))
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (418), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (419) all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))
% 19.66/5.01 |
% 19.66/5.01 | Applying alpha-rule on (419) yields:
% 19.66/5.01 | (420) all_0_99_99 = e22
% 19.66/5.01 | (394) all_0_102_102 = e22
% 19.66/5.01 | (422) ~ (all_0_98_98 = e23)
% 19.66/5.01 | (423) ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)
% 19.66/5.01 |
% 19.66/5.01 | Combining equations (420,376) yields a new equation:
% 19.66/5.01 | (424) e22 = e20
% 19.66/5.01 |
% 19.66/5.01 | Simplifying 424 yields:
% 19.66/5.01 | (425) e22 = e20
% 19.66/5.01 |
% 19.66/5.01 | Equations (425) can reduce 111 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (427) all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))
% 19.66/5.01 |
% 19.66/5.01 | Applying alpha-rule on (427) yields:
% 19.66/5.01 | (428) all_0_100_100 = e21
% 19.66/5.01 | (429) ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)
% 19.66/5.01 | (422) ~ (all_0_98_98 = e23)
% 19.66/5.01 | (431) all_0_104_104 = e21
% 19.66/5.01 | (423) ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)
% 19.66/5.01 |
% 19.66/5.01 | Equations (431) can reduce 113 to:
% 19.66/5.01 | (2189) ~ (all_0_105_105 = e21)
% 19.66/5.01 |
% 19.66/5.01 | Simplifying 2189 yields:
% 19.66/5.01 | (236) ~ (all_0_105_105 = e21)
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (261), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (457) all_0_108_108 = e20
% 19.66/5.01 |
% 19.66/5.01 | Equations (457) can reduce 403 to:
% 19.66/5.01 | (392) $false
% 19.66/5.01 |
% 19.66/5.01 |-The branch is then unsatisfiable
% 19.66/5.01 |-Branch two:
% 19.66/5.01 | (403) ~ (all_0_108_108 = e20)
% 19.66/5.01 | (521) all_0_108_108 = e23 | all_0_108_108 = e22
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (521), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (522) all_0_108_108 = e23
% 19.66/5.01 |
% 19.66/5.01 | Equations (522) can reduce 97 to:
% 19.66/5.01 | (507) ~ (all_0_105_105 = e23)
% 19.66/5.01 |
% 19.66/5.01 | Equations (522) can reduce 403 to:
% 19.66/5.01 | (262) ~ (e23 = e20)
% 19.66/5.01 |
% 19.66/5.01 +-Applying beta-rule and splitting (320), into two cases.
% 19.66/5.01 |-Branch one:
% 19.66/5.01 | (2198) all_0_98_98 = e22
% 19.66/5.02 |
% 19.66/5.02 | Equations (2198) can reduce 395 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (395) ~ (all_0_98_98 = e22)
% 19.66/5.02 | (2201) all_0_99_99 = e22 | all_0_100_100 = e22 | all_0_101_101 = e22
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (282), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (509) all_0_105_105 = e23
% 19.66/5.02 |
% 19.66/5.02 | Equations (509) can reduce 507 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (507) ~ (all_0_105_105 = e23)
% 19.66/5.02 | (512) all_0_105_105 = e22
% 19.66/5.02 |
% 19.66/5.02 | Equations (512) can reduce 507 to:
% 19.66/5.02 | (2206) ~ (e23 = e22)
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 2206 yields:
% 19.66/5.02 | (31) ~ (e23 = e22)
% 19.66/5.02 |
% 19.66/5.02 | Equations (512) can reduce 236 to:
% 19.66/5.02 | (241) ~ (e22 = e21)
% 19.66/5.02 |
% 19.66/5.02 | Equations (512) can reduce 168 to:
% 19.66/5.02 | (111) ~ (e22 = e20)
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (2201), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (420) all_0_99_99 = e22
% 19.66/5.02 |
% 19.66/5.02 | Combining equations (420,376) yields a new equation:
% 19.66/5.02 | (424) e22 = e20
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 424 yields:
% 19.66/5.02 | (425) e22 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (425) can reduce 111 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (2214) ~ (all_0_99_99 = e22)
% 19.66/5.02 | (2215) all_0_100_100 = e22 | all_0_101_101 = e22
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (2215), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (407) all_0_100_100 = e22
% 19.66/5.02 |
% 19.66/5.02 | Combining equations (428,407) yields a new equation:
% 19.66/5.02 | (433) e22 = e21
% 19.66/5.02 |
% 19.66/5.02 | Equations (433) can reduce 241 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (2156) ~ (all_0_100_100 = e22)
% 19.66/5.02 | (525) all_0_101_101 = e22
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (198), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (2221) all_0_98_98 = e23
% 19.66/5.02 |
% 19.66/5.02 | Equations (2221) can reduce 422 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (422) ~ (all_0_98_98 = e23)
% 19.66/5.02 | (2224) all_0_99_99 = e23 | all_0_101_101 = e23
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (2224), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (2225) all_0_99_99 = e23
% 19.66/5.02 |
% 19.66/5.02 | Combining equations (2225,376) yields a new equation:
% 19.66/5.02 | (2226) e23 = e20
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 2226 yields:
% 19.66/5.02 | (440) e23 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (440) can reduce 262 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (2229) ~ (all_0_99_99 = e23)
% 19.66/5.02 | (436) all_0_101_101 = e23
% 19.66/5.02 |
% 19.66/5.02 | Combining equations (525,436) yields a new equation:
% 19.66/5.02 | (527) e23 = e22
% 19.66/5.02 |
% 19.66/5.02 | Equations (527) can reduce 31 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (2128) ~ (all_0_108_108 = e23)
% 19.66/5.02 | (450) all_0_108_108 = e22
% 19.66/5.02 |
% 19.66/5.02 | Equations (450) can reduce 514 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (435) all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 19.66/5.02 |
% 19.66/5.02 | Applying alpha-rule on (435) yields:
% 19.66/5.02 | (436) all_0_101_101 = e23
% 19.66/5.02 | (437) all_0_107_107 = e23
% 19.66/5.02 | (438) ~ (all_0_110_110 = e20)
% 19.66/5.02 | (439) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 19.66/5.02 |
% 19.66/5.02 | Combining equations (437,401) yields a new equation:
% 19.66/5.02 | (2226) e23 = e20
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 2226 yields:
% 19.66/5.02 | (440) e23 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (440) can reduce 262 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (442) all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))
% 19.66/5.02 |
% 19.66/5.02 | Applying alpha-rule on (442) yields:
% 19.66/5.02 | (443) all_0_101_101 = e20
% 19.66/5.02 | (401) all_0_107_107 = e20
% 19.66/5.02 | (422) ~ (all_0_98_98 = e23)
% 19.66/5.02 | (429) ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)
% 19.66/5.02 |
% 19.66/5.02 | Equations (443) can reduce 381 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (448) all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23))
% 19.66/5.02 |
% 19.66/5.02 | Applying alpha-rule on (448) yields:
% 19.66/5.02 | (449) all_0_103_103 = e22
% 19.66/5.02 | (450) all_0_108_108 = e22
% 19.66/5.02 | (438) ~ (all_0_110_110 = e20)
% 19.66/5.02 | (452) ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)
% 19.66/5.02 |
% 19.66/5.02 | Combining equations (449,385) yields a new equation:
% 19.66/5.02 | (424) e22 = e20
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 424 yields:
% 19.66/5.02 | (425) e22 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (425) can reduce 111 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (455) all_0_103_103 = e20 & all_0_108_108 = e20
% 19.66/5.02 |
% 19.66/5.02 | Applying alpha-rule on (455) yields:
% 19.66/5.02 | (385) all_0_103_103 = e20
% 19.66/5.02 | (457) all_0_108_108 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (457) can reduce 403 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (459) all_0_106_106 = e21 & all_0_109_109 = e21 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 19.66/5.02 |
% 19.66/5.02 | Applying alpha-rule on (459) yields:
% 19.66/5.02 | (438) ~ (all_0_110_110 = e20)
% 19.66/5.02 | (452) ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)
% 19.66/5.02 | (462) all_0_109_109 = e21
% 19.66/5.02 | (439) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 19.66/5.02 | (464) all_0_106_106 = e21
% 19.66/5.02 |
% 19.66/5.02 | Combining equations (544,462) yields a new equation:
% 19.66/5.02 | (545) e22 = e21
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 545 yields:
% 19.66/5.02 | (433) e22 = e21
% 19.66/5.02 |
% 19.66/5.02 | Equations (433) can reduce 241 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (478) ~ (all_0_107_107 = e20)
% 19.66/5.02 | (2272) all_0_108_108 = e20 | all_0_110_110 = e20
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (309), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (2273) all_0_98_98 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (2273) can reduce 377 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (377) ~ (all_0_98_98 = e20)
% 19.66/5.02 | (2276) all_0_102_102 = e20 | all_0_107_107 = e20
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (2276), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (391) all_0_102_102 = e20
% 19.66/5.02 |
% 19.66/5.02 | Combining equations (394,391) yields a new equation:
% 19.66/5.02 | (424) e22 = e20
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 424 yields:
% 19.66/5.02 | (425) e22 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (425) can reduce 111 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (387) ~ (all_0_102_102 = e20)
% 19.66/5.02 | (401) all_0_107_107 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (401) can reduce 478 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (2284) ~ (all_0_103_103 = e20)
% 19.66/5.02 | (449) all_0_103_103 = e22
% 19.66/5.02 |
% 19.66/5.02 | Equations (449) can reduce 80 to:
% 19.66/5.02 | (2286) ~ (all_0_102_102 = e22)
% 19.66/5.02 |
% 19.66/5.02 | Equations (449) can reduce 324 to:
% 19.66/5.02 | (2287) ~ (all_0_110_110 = e22)
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 2287 yields:
% 19.66/5.02 | (1781) ~ (all_0_110_110 = e22)
% 19.66/5.02 |
% 19.66/5.02 | Equations (449) can reduce 205 to:
% 19.66/5.02 | (241) ~ (e22 = e21)
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (287), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (391) all_0_102_102 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (391) can reduce 157 to:
% 19.66/5.02 | (2291) ~ (all_0_104_104 = e20)
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 2291 yields:
% 19.66/5.02 | (131) ~ (all_0_104_104 = e20)
% 19.66/5.02 |
% 19.66/5.02 | Equations (391) can reduce 2286 to:
% 19.66/5.02 | (2293) ~ (e22 = e20)
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 2293 yields:
% 19.66/5.02 | (111) ~ (e22 = e20)
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (183), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (443) all_0_101_101 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (443) can reduce 381 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (381) ~ (all_0_101_101 = e20)
% 19.66/5.02 | (2298) all_0_103_103 = e20 | all_0_110_110 = e20
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (2298), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (385) all_0_103_103 = e20
% 19.66/5.02 |
% 19.66/5.02 | Combining equations (385,449) yields a new equation:
% 19.66/5.02 | (425) e22 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (425) can reduce 111 to:
% 19.66/5.02 | (392) $false
% 19.66/5.02 |
% 19.66/5.02 |-The branch is then unsatisfiable
% 19.66/5.02 |-Branch two:
% 19.66/5.02 | (2284) ~ (all_0_103_103 = e20)
% 19.66/5.02 | (2303) all_0_110_110 = e20
% 19.66/5.02 |
% 19.66/5.02 | Equations (2303) can reduce 214 to:
% 19.66/5.02 | (478) ~ (all_0_107_107 = e20)
% 19.66/5.02 |
% 19.66/5.02 | Equations (2303) can reduce 1781 to:
% 19.66/5.02 | (2293) ~ (e22 = e20)
% 19.66/5.02 |
% 19.66/5.02 | Simplifying 2293 yields:
% 19.66/5.02 | (111) ~ (e22 = e20)
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (40), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (414) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))) | (all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23))) | (all_0_103_103 = e20 & all_0_108_108 = e20)
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (414), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (415) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))) | (all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)))
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (415), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (416) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)))
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (416), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (417) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (417), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (418) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)))
% 19.66/5.02 |
% 19.66/5.02 +-Applying beta-rule and splitting (418), into two cases.
% 19.66/5.02 |-Branch one:
% 19.66/5.02 | (419) all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))
% 19.66/5.02 |
% 19.66/5.02 | Applying alpha-rule on (419) yields:
% 19.66/5.02 | (420) all_0_99_99 = e22
% 19.66/5.02 | (394) all_0_102_102 = e22
% 19.66/5.03 | (422) ~ (all_0_98_98 = e23)
% 19.66/5.03 | (423) ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)
% 19.66/5.03 |
% 19.66/5.03 | Combining equations (394,391) yields a new equation:
% 19.66/5.03 | (424) e22 = e20
% 19.66/5.03 |
% 19.66/5.03 | Simplifying 424 yields:
% 19.66/5.03 | (425) e22 = e20
% 19.66/5.03 |
% 19.66/5.03 | Equations (425) can reduce 111 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (427) all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))
% 19.66/5.03 |
% 19.66/5.03 | Applying alpha-rule on (427) yields:
% 19.66/5.03 | (428) all_0_100_100 = e21
% 19.66/5.03 | (429) ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)
% 19.66/5.03 | (422) ~ (all_0_98_98 = e23)
% 19.66/5.03 | (431) all_0_104_104 = e21
% 19.66/5.03 | (423) ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)
% 19.66/5.03 |
% 19.66/5.03 | Equations (428) can reduce 130 to:
% 19.66/5.03 | (2158) ~ (all_0_109_109 = e21)
% 19.66/5.03 |
% 19.66/5.03 | Simplifying 2158 yields:
% 19.66/5.03 | (2159) ~ (all_0_109_109 = e21)
% 19.66/5.03 |
% 19.66/5.03 | Equations (431) can reduce 10 to:
% 19.66/5.03 | (2328) ~ (all_0_107_107 = e21)
% 19.66/5.03 |
% 19.66/5.03 | Simplifying 2328 yields:
% 19.66/5.03 | (2329) ~ (all_0_107_107 = e21)
% 19.66/5.03 |
% 19.66/5.03 | Equations (431) can reduce 131 to:
% 19.66/5.03 | (312) ~ (e21 = e20)
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (36), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (407) all_0_100_100 = e22
% 19.66/5.03 |
% 19.66/5.03 | Combining equations (428,407) yields a new equation:
% 19.66/5.03 | (433) e22 = e21
% 19.66/5.03 |
% 19.66/5.03 | Equations (433) can reduce 241 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (2156) ~ (all_0_100_100 = e22)
% 19.66/5.03 | (544) all_0_109_109 = e22
% 19.66/5.03 |
% 19.66/5.03 | Equations (544) can reduce 2159 to:
% 19.66/5.03 | (241) ~ (e22 = e21)
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (30), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (2337) all_0_107_107 = e21
% 19.66/5.03 |
% 19.66/5.03 | Equations (2337) can reduce 2329 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (2329) ~ (all_0_107_107 = e21)
% 19.66/5.03 | (2340) all_0_109_109 = e21 | all_0_110_110 = e21
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (2340), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (462) all_0_109_109 = e21
% 19.66/5.03 |
% 19.66/5.03 | Combining equations (544,462) yields a new equation:
% 19.66/5.03 | (545) e22 = e21
% 19.66/5.03 |
% 19.66/5.03 | Simplifying 545 yields:
% 19.66/5.03 | (433) e22 = e21
% 19.66/5.03 |
% 19.66/5.03 | Equations (433) can reduce 241 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (2159) ~ (all_0_109_109 = e21)
% 19.66/5.03 | (2346) all_0_110_110 = e21
% 19.66/5.03 |
% 19.66/5.03 | Combining equations (2303,2346) yields a new equation:
% 19.66/5.03 | (2347) e21 = e20
% 19.66/5.03 |
% 19.66/5.03 | Equations (2347) can reduce 312 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (435) all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 19.66/5.03 |
% 19.66/5.03 | Applying alpha-rule on (435) yields:
% 19.66/5.03 | (436) all_0_101_101 = e23
% 19.66/5.03 | (437) all_0_107_107 = e23
% 19.66/5.03 | (438) ~ (all_0_110_110 = e20)
% 19.66/5.03 | (439) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 19.66/5.03 |
% 19.66/5.03 | Equations (2303) can reduce 438 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (442) all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))
% 19.66/5.03 |
% 19.66/5.03 | Applying alpha-rule on (442) yields:
% 19.66/5.03 | (443) all_0_101_101 = e20
% 19.66/5.03 | (401) all_0_107_107 = e20
% 19.66/5.03 | (422) ~ (all_0_98_98 = e23)
% 19.66/5.03 | (429) ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)
% 19.66/5.03 |
% 19.66/5.03 | Equations (401) can reduce 478 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (448) all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23))
% 19.66/5.03 |
% 19.66/5.03 | Applying alpha-rule on (448) yields:
% 19.66/5.03 | (449) all_0_103_103 = e22
% 19.66/5.03 | (450) all_0_108_108 = e22
% 19.66/5.03 | (438) ~ (all_0_110_110 = e20)
% 19.66/5.03 | (452) ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)
% 19.66/5.03 |
% 19.66/5.03 | Equations (2303) can reduce 438 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (455) all_0_103_103 = e20 & all_0_108_108 = e20
% 19.66/5.03 |
% 19.66/5.03 | Applying alpha-rule on (455) yields:
% 19.66/5.03 | (385) all_0_103_103 = e20
% 19.66/5.03 | (457) all_0_108_108 = e20
% 19.66/5.03 |
% 19.66/5.03 | Combining equations (385,449) yields a new equation:
% 19.66/5.03 | (425) e22 = e20
% 19.66/5.03 |
% 19.66/5.03 | Equations (425) can reduce 111 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (459) all_0_106_106 = e21 & all_0_109_109 = e21 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 19.66/5.03 |
% 19.66/5.03 | Applying alpha-rule on (459) yields:
% 19.66/5.03 | (438) ~ (all_0_110_110 = e20)
% 19.66/5.03 | (452) ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)
% 19.66/5.03 | (462) all_0_109_109 = e21
% 19.66/5.03 | (439) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 19.66/5.03 | (464) all_0_106_106 = e21
% 19.66/5.03 |
% 19.66/5.03 | Equations (2303) can reduce 438 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (387) ~ (all_0_102_102 = e20)
% 19.66/5.03 | (394) all_0_102_102 = e22
% 19.66/5.03 |
% 19.66/5.03 | Equations (394) can reduce 2286 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (2382) ~ (all_0_99_99 = e20)
% 19.66/5.03 | (457) all_0_108_108 = e20
% 19.66/5.03 |
% 19.66/5.03 | Equations (457) can reduce 161 to:
% 19.66/5.03 | (2382) ~ (all_0_99_99 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Equations (457) can reduce 97 to:
% 19.66/5.03 | (168) ~ (all_0_105_105 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Equations (457) can reduce 138 to:
% 19.66/5.03 | (478) ~ (all_0_107_107 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Equations (457) can reduce 289 to:
% 19.66/5.03 | (404) ~ (all_0_109_109 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Simplifying 404 yields:
% 19.66/5.03 | (188) ~ (all_0_109_109 = e20)
% 19.66/5.03 |
% 19.66/5.03 | From (457) and (190) follows:
% 19.66/5.03 | (2389) op2(e20, e22) = e20
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (287), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (391) all_0_102_102 = e20
% 19.66/5.03 |
% 19.66/5.03 | Equations (391) can reduce 265 to:
% 19.66/5.03 | (377) ~ (all_0_98_98 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Equations (391) can reduce 80 to:
% 19.66/5.03 | (2392) ~ (all_0_103_103 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Simplifying 2392 yields:
% 19.66/5.03 | (2284) ~ (all_0_103_103 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Equations (391) can reduce 192 to:
% 19.66/5.03 | (2394) ~ (all_0_107_107 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Simplifying 2394 yields:
% 19.66/5.03 | (478) ~ (all_0_107_107 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Equations (391) can reduce 58 to:
% 19.66/5.03 | (388) ~ (e23 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Simplifying 388 yields:
% 19.66/5.03 | (262) ~ (e23 = e20)
% 19.66/5.03 |
% 19.66/5.03 | From (391) and (33) follows:
% 19.66/5.03 | (2398) op2(e22, e23) = e20
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (34), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (385) all_0_103_103 = e20
% 19.66/5.03 |
% 19.66/5.03 | Equations (385) can reduce 2284 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (2284) ~ (all_0_103_103 = e20)
% 19.66/5.03 | (449) all_0_103_103 = e22
% 19.66/5.03 |
% 19.66/5.03 | Equations (449) can reduce 324 to:
% 19.66/5.03 | (2287) ~ (all_0_110_110 = e22)
% 19.66/5.03 |
% 19.66/5.03 | Simplifying 2287 yields:
% 19.66/5.03 | (1781) ~ (all_0_110_110 = e22)
% 19.66/5.03 |
% 19.66/5.03 | From (449) and (271) follows:
% 19.66/5.03 | (2405) op2(e22, e20) = e22
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (38), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (2273) all_0_98_98 = e20
% 19.66/5.03 |
% 19.66/5.03 | Equations (2273) can reduce 377 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (377) ~ (all_0_98_98 = e20)
% 19.66/5.03 | (2409) all_0_99_99 = e20 | all_0_101_101 = e20
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (2409), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (376) all_0_99_99 = e20
% 19.66/5.03 |
% 19.66/5.03 | Equations (376) can reduce 2382 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (2382) ~ (all_0_99_99 = e20)
% 19.66/5.03 | (443) all_0_101_101 = e20
% 19.66/5.03 |
% 19.66/5.03 | Equations (443) can reduce 104 to:
% 19.66/5.03 | (377) ~ (all_0_98_98 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Equations (443) can reduce 59 to:
% 19.66/5.03 | (2382) ~ (all_0_99_99 = e20)
% 19.66/5.03 |
% 19.66/5.03 | Equations (443) can reduce 325 to:
% 19.66/5.03 | (95) ~ (all_0_100_100 = e20)
% 19.66/5.03 |
% 19.66/5.03 | From (443) and (2) follows:
% 19.66/5.03 | (2417) op2(e23, e20) = e20
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (334), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (544) all_0_109_109 = e22
% 19.66/5.03 |
% 19.66/5.03 | Equations (544) can reduce 130 to:
% 19.66/5.03 | (2156) ~ (all_0_100_100 = e22)
% 19.66/5.03 |
% 19.66/5.03 | Equations (544) can reduce 336 to:
% 19.66/5.03 | (536) ~ (all_0_107_107 = e22)
% 19.66/5.03 |
% 19.66/5.03 | Equations (544) can reduce 188 to:
% 19.66/5.03 | (111) ~ (e22 = e20)
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (304), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (407) all_0_100_100 = e22
% 19.66/5.03 |
% 19.66/5.03 | Equations (407) can reduce 2156 to:
% 19.66/5.03 | (392) $false
% 19.66/5.03 |
% 19.66/5.03 |-The branch is then unsatisfiable
% 19.66/5.03 |-Branch two:
% 19.66/5.03 | (2156) ~ (all_0_100_100 = e22)
% 19.66/5.03 | (428) all_0_100_100 = e21
% 19.66/5.03 |
% 19.66/5.03 | Equations (428) can reduce 2156 to:
% 19.66/5.03 | (467) ~ (e22 = e21)
% 19.66/5.03 |
% 19.66/5.03 | Simplifying 467 yields:
% 19.66/5.03 | (241) ~ (e22 = e21)
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (40), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (414) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))) | (all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23))) | (all_0_103_103 = e20 & all_0_108_108 = e20)
% 19.66/5.03 |
% 19.66/5.03 +-Applying beta-rule and splitting (414), into two cases.
% 19.66/5.03 |-Branch one:
% 19.66/5.03 | (415) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))) | (all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)))
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (415), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (416) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))) | (all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)))
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (416), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (417) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)))
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (417), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (418) (all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))) | (all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)))
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (418), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (419) all_0_99_99 = e22 & all_0_102_102 = e22 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))
% 19.66/5.04 |
% 19.66/5.04 | Applying alpha-rule on (419) yields:
% 19.66/5.04 | (420) all_0_99_99 = e22
% 19.66/5.04 | (394) all_0_102_102 = e22
% 19.66/5.04 | (422) ~ (all_0_98_98 = e23)
% 19.66/5.04 | (423) ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)
% 19.66/5.04 |
% 19.66/5.04 | Combining equations (391,394) yields a new equation:
% 19.66/5.04 | (425) e22 = e20
% 19.66/5.04 |
% 19.66/5.04 | Equations (425) can reduce 111 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (427) all_0_100_100 = e21 & all_0_104_104 = e21 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)) & ( ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23))
% 19.66/5.04 |
% 19.66/5.04 | Applying alpha-rule on (427) yields:
% 19.66/5.04 | (428) all_0_100_100 = e21
% 19.66/5.04 | (429) ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)
% 19.66/5.04 | (422) ~ (all_0_98_98 = e23)
% 19.66/5.04 | (431) all_0_104_104 = e21
% 19.66/5.04 | (423) ~ (all_0_98_98 = e20) | ~ (all_0_101_101 = e23)
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (187), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (2198) all_0_98_98 = e22
% 19.66/5.04 |
% 19.66/5.04 | Equations (2198) can reduce 81 to:
% 19.66/5.04 | (2447) ~ (all_0_99_99 = e22)
% 19.66/5.04 |
% 19.66/5.04 | Simplifying 2447 yields:
% 19.66/5.04 | (2214) ~ (all_0_99_99 = e22)
% 19.66/5.04 |
% 19.66/5.04 | Equations (2198) can reduce 377 to:
% 19.66/5.04 | (111) ~ (e22 = e20)
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (53), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (420) all_0_99_99 = e22
% 19.66/5.04 |
% 19.66/5.04 | Equations (420) can reduce 2214 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (2214) ~ (all_0_99_99 = e22)
% 19.66/5.04 | (2453) all_0_105_105 = e22 | all_0_108_108 = e22
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (2453), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (512) all_0_105_105 = e22
% 19.66/5.04 |
% 19.66/5.04 | Equations (512) can reduce 202 to:
% 19.66/5.04 | (2214) ~ (all_0_99_99 = e22)
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (429), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (2229) ~ (all_0_99_99 = e23)
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (166), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (376) all_0_99_99 = e20
% 19.66/5.04 |
% 19.66/5.04 | Equations (376) can reduce 2382 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (2382) ~ (all_0_99_99 = e20)
% 19.66/5.04 | (2460) all_0_99_99 = e23 | all_0_99_99 = e22
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (2460), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (2225) all_0_99_99 = e23
% 19.66/5.04 |
% 19.66/5.04 | Equations (2225) can reduce 2229 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (2229) ~ (all_0_99_99 = e23)
% 19.66/5.04 | (420) all_0_99_99 = e22
% 19.66/5.04 |
% 19.66/5.04 | Equations (420) can reduce 2214 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (2225) all_0_99_99 = e23
% 19.66/5.04 | (395) ~ (all_0_98_98 = e22)
% 19.66/5.04 |
% 19.66/5.04 | Equations (2198) can reduce 395 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (2469) ~ (all_0_105_105 = e22)
% 19.66/5.04 | (450) all_0_108_108 = e22
% 19.66/5.04 |
% 19.66/5.04 | Combining equations (457,450) yields a new equation:
% 19.66/5.04 | (425) e22 = e20
% 19.66/5.04 |
% 19.66/5.04 | Equations (425) can reduce 111 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (395) ~ (all_0_98_98 = e22)
% 19.66/5.04 | (2474) all_0_102_102 = e22 | all_0_104_104 = e22 | all_0_107_107 = e22
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (2474), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (394) all_0_102_102 = e22
% 19.66/5.04 |
% 19.66/5.04 | Combining equations (391,394) yields a new equation:
% 19.66/5.04 | (425) e22 = e20
% 19.66/5.04 |
% 19.66/5.04 | Equations (425) can reduce 111 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (2286) ~ (all_0_102_102 = e22)
% 19.66/5.04 | (2479) all_0_104_104 = e22 | all_0_107_107 = e22
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (2479), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (489) all_0_104_104 = e22
% 19.66/5.04 |
% 19.66/5.04 | Combining equations (489,431) yields a new equation:
% 19.66/5.04 | (545) e22 = e21
% 19.66/5.04 |
% 19.66/5.04 | Simplifying 545 yields:
% 19.66/5.04 | (433) e22 = e21
% 19.66/5.04 |
% 19.66/5.04 | Equations (433) can reduce 241 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (397) ~ (all_0_104_104 = e22)
% 19.66/5.04 | (532) all_0_107_107 = e22
% 19.66/5.04 |
% 19.66/5.04 | Equations (532) can reduce 536 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (435) all_0_101_101 = e23 & all_0_107_107 = e23 & ~ (all_0_110_110 = e20) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 19.66/5.04 |
% 19.66/5.04 | Applying alpha-rule on (435) yields:
% 19.66/5.04 | (436) all_0_101_101 = e23
% 19.66/5.04 | (437) all_0_107_107 = e23
% 19.66/5.04 | (438) ~ (all_0_110_110 = e20)
% 19.66/5.04 | (439) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 19.66/5.04 |
% 19.66/5.04 | Combining equations (443,436) yields a new equation:
% 19.66/5.04 | (440) e23 = e20
% 19.66/5.04 |
% 19.66/5.04 | Equations (440) can reduce 262 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (442) all_0_101_101 = e20 & all_0_107_107 = e20 & ~ (all_0_98_98 = e23) & ( ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23))
% 19.66/5.04 |
% 19.66/5.04 | Applying alpha-rule on (442) yields:
% 19.66/5.04 | (443) all_0_101_101 = e20
% 19.66/5.04 | (401) all_0_107_107 = e20
% 19.66/5.04 | (422) ~ (all_0_98_98 = e23)
% 19.66/5.04 | (429) ~ (all_0_98_98 = e22) | ~ (all_0_99_99 = e23)
% 19.66/5.04 |
% 19.66/5.04 | Equations (401) can reduce 478 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (448) all_0_103_103 = e22 & all_0_108_108 = e22 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23))
% 19.66/5.04 |
% 19.66/5.04 | Applying alpha-rule on (448) yields:
% 19.66/5.04 | (449) all_0_103_103 = e22
% 19.66/5.04 | (450) all_0_108_108 = e22
% 19.66/5.04 | (438) ~ (all_0_110_110 = e20)
% 19.66/5.04 | (452) ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)
% 19.66/5.04 |
% 19.66/5.04 | Combining equations (450,457) yields a new equation:
% 19.66/5.04 | (424) e22 = e20
% 19.66/5.04 |
% 19.66/5.04 | Simplifying 424 yields:
% 19.66/5.04 | (425) e22 = e20
% 19.66/5.04 |
% 19.66/5.04 | Equations (425) can reduce 111 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (455) all_0_103_103 = e20 & all_0_108_108 = e20
% 19.66/5.04 |
% 19.66/5.04 | Applying alpha-rule on (455) yields:
% 19.66/5.04 | (385) all_0_103_103 = e20
% 19.66/5.04 | (457) all_0_108_108 = e20
% 19.66/5.04 |
% 19.66/5.04 | Combining equations (385,449) yields a new equation:
% 19.66/5.04 | (425) e22 = e20
% 19.66/5.04 |
% 19.66/5.04 | Equations (425) can reduce 111 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (459) all_0_106_106 = e21 & all_0_109_109 = e21 & ~ (all_0_110_110 = e20) & ( ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)) & ( ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22))
% 19.66/5.04 |
% 19.66/5.04 | Applying alpha-rule on (459) yields:
% 19.66/5.04 | (438) ~ (all_0_110_110 = e20)
% 19.66/5.04 | (452) ~ (all_0_107_107 = e20) | ~ (all_0_110_110 = e23)
% 19.66/5.04 | (462) all_0_109_109 = e21
% 19.66/5.04 | (439) ~ (all_0_108_108 = e20) | ~ (all_0_110_110 = e22)
% 19.66/5.04 | (464) all_0_106_106 = e21
% 19.66/5.04 |
% 19.66/5.04 | Combining equations (462,544) yields a new equation:
% 19.66/5.04 | (433) e22 = e21
% 19.66/5.04 |
% 19.66/5.04 | Equations (433) can reduce 241 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (411) ~ (all_0_109_109 = e22)
% 19.66/5.04 | (462) all_0_109_109 = e21
% 19.66/5.04 |
% 19.66/5.04 | Equations (462) can reduce 130 to:
% 19.66/5.04 | (2144) ~ (all_0_100_100 = e21)
% 19.66/5.04 |
% 19.66/5.04 | Equations (462) can reduce 336 to:
% 19.66/5.04 | (2329) ~ (all_0_107_107 = e21)
% 19.66/5.04 |
% 19.66/5.04 | Equations (462) can reduce 188 to:
% 19.66/5.04 | (312) ~ (e21 = e20)
% 19.66/5.04 |
% 19.66/5.04 | From (462) and (11) follows:
% 19.66/5.04 | (477) op2(e20, e21) = e21
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (304), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (407) all_0_100_100 = e22
% 19.66/5.04 |
% 19.66/5.04 | Equations (407) can reduce 243 to:
% 19.66/5.04 | (2214) ~ (all_0_99_99 = e22)
% 19.66/5.04 |
% 19.66/5.04 | Equations (407) can reduce 2144 to:
% 19.66/5.04 | (241) ~ (e22 = e21)
% 19.66/5.04 |
% 19.66/5.04 | Equations (407) can reduce 95 to:
% 19.66/5.04 | (111) ~ (e22 = e20)
% 19.66/5.04 |
% 19.66/5.04 | From (407) and (178) follows:
% 19.66/5.04 | (413) op2(e23, e21) = e22
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (242), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (532) all_0_107_107 = e22
% 19.66/5.04 |
% 19.66/5.04 | Equations (532) can reduce 2329 to:
% 19.66/5.04 | (241) ~ (e22 = e21)
% 19.66/5.04 |
% 19.66/5.04 | From (532) and (171) follows:
% 19.66/5.04 | (2534) op2(e20, e23) = e22
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (259), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (493) all_0_98_98 = e21
% 19.66/5.04 |
% 19.66/5.04 | Equations (493) can reduce 81 to:
% 19.66/5.04 | (2536) ~ (all_0_99_99 = e21)
% 19.66/5.04 |
% 19.66/5.04 | Simplifying 2536 yields:
% 19.66/5.04 | (143) ~ (all_0_99_99 = e21)
% 19.66/5.04 |
% 19.66/5.04 | Equations (493) can reduce 206 to:
% 19.66/5.04 | (494) ~ (all_0_104_104 = e21)
% 19.66/5.04 |
% 19.66/5.04 | Simplifying 494 yields:
% 19.66/5.04 | (495) ~ (all_0_104_104 = e21)
% 19.66/5.04 |
% 19.66/5.04 | From (493) and (163) follows:
% 19.66/5.04 | (496) h4(e11) = e21
% 19.66/5.04 |
% 19.66/5.04 | From (493) and (84) follows:
% 19.66/5.04 | (497) op2(all_0_94_94, e21) = all_0_4_4
% 19.66/5.04 |
% 19.66/5.04 | From (493) and (257) follows:
% 19.66/5.04 | (498) op2(all_0_95_95, e21) = all_0_24_24
% 19.66/5.04 |
% 19.66/5.04 | From (493) and (273) follows:
% 19.66/5.04 | (499) op2(e21, all_0_94_94) = all_0_13_13
% 19.66/5.04 |
% 19.66/5.04 | From (493) and (88) follows:
% 19.66/5.04 | (500) op2(e21, all_0_95_95) = all_0_18_18
% 19.66/5.04 |
% 19.66/5.04 | From (493)(493) and (269) follows:
% 19.66/5.04 | (501) op2(e21, e21) = all_0_95_95
% 19.66/5.04 |
% 19.66/5.04 | From (493) and (160) follows:
% 19.66/5.04 | (502) op2(e21, e23) = all_0_15_15
% 19.66/5.04 |
% 19.66/5.04 | From (493) and (115) follows:
% 19.66/5.04 | (503) op2(e23, e21) = all_0_94_94
% 19.66/5.04 |
% 19.66/5.04 | From (493) and (196) follows:
% 19.66/5.04 | (504) op2(e23, e23) = e21
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (220), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (431) all_0_104_104 = e21
% 19.66/5.04 |
% 19.66/5.04 | Equations (431) can reduce 495 to:
% 19.66/5.04 | (392) $false
% 19.66/5.04 |
% 19.66/5.04 |-The branch is then unsatisfiable
% 19.66/5.04 |-Branch two:
% 19.66/5.04 | (495) ~ (all_0_104_104 = e21)
% 19.66/5.04 | (464) all_0_106_106 = e21
% 19.66/5.04 |
% 19.66/5.04 | Equations (464) can reduce 308 to:
% 19.66/5.04 | (495) ~ (all_0_104_104 = e21)
% 19.66/5.04 |
% 19.66/5.04 | From (464) and (15) follows:
% 19.66/5.04 | (475) op2(e21, e20) = e21
% 19.66/5.04 |
% 19.66/5.04 +-Applying beta-rule and splitting (166), into two cases.
% 19.66/5.04 |-Branch one:
% 19.66/5.04 | (376) all_0_99_99 = e20
% 19.66/5.04 |
% 19.66/5.05 | Equations (376) can reduce 2382 to:
% 19.66/5.05 | (392) $false
% 19.66/5.05 |
% 19.66/5.05 |-The branch is then unsatisfiable
% 19.66/5.05 |-Branch two:
% 19.66/5.05 | (2382) ~ (all_0_99_99 = e20)
% 19.66/5.05 | (2460) all_0_99_99 = e23 | all_0_99_99 = e22
% 19.66/5.05 |
% 19.66/5.05 +-Applying beta-rule and splitting (2460), into two cases.
% 19.66/5.05 |-Branch one:
% 19.66/5.05 | (2225) all_0_99_99 = e23
% 19.66/5.05 |
% 19.66/5.05 | Equations (2225) can reduce 202 to:
% 19.66/5.05 | (506) ~ (all_0_105_105 = e23)
% 19.66/5.05 |
% 19.66/5.05 | Simplifying 506 yields:
% 19.66/5.05 | (507) ~ (all_0_105_105 = e23)
% 19.66/5.05 |
% 19.66/5.05 | Equations (2225) can reduce 143 to:
% 19.66/5.05 | (275) ~ (e23 = e21)
% 19.66/5.05 |
% 19.66/5.05 | Equations (2225) can reduce 2382 to:
% 19.66/5.05 | (262) ~ (e23 = e20)
% 19.66/5.05 |
% 19.66/5.05 | From (2225) and (351) follows:
% 19.66/5.05 | (2564) op2(e23, e22) = e23
% 19.66/5.05 |
% 19.66/5.05 +-Applying beta-rule and splitting (282), into two cases.
% 19.66/5.05 |-Branch one:
% 19.66/5.05 | (509) all_0_105_105 = e23
% 19.66/5.05 |
% 19.66/5.05 | Equations (509) can reduce 507 to:
% 19.66/5.05 | (392) $false
% 19.66/5.05 |
% 19.66/5.05 |-The branch is then unsatisfiable
% 19.66/5.05 |-Branch two:
% 19.66/5.05 | (507) ~ (all_0_105_105 = e23)
% 19.66/5.05 | (512) all_0_105_105 = e22
% 19.66/5.05 |
% 19.66/5.05 | Equations (512) can reduce 113 to:
% 19.66/5.05 | (397) ~ (all_0_104_104 = e22)
% 19.66/5.05 |
% 19.66/5.05 | From (512) and (100) follows:
% 19.66/5.05 | (517) op2(e21, e22) = e22
% 19.66/5.05 |
% 19.66/5.05 +-Applying beta-rule and splitting (237), into two cases.
% 19.66/5.05 |-Branch one:
% 19.66/5.05 | (436) all_0_101_101 = e23
% 19.66/5.05 |
% 19.66/5.05 | Combining equations (443,436) yields a new equation:
% 19.66/5.05 | (440) e23 = e20
% 19.66/5.05 |
% 19.66/5.05 | Equations (440) can reduce 262 to:
% 19.66/5.05 | (392) $false
% 19.66/5.05 |
% 19.66/5.05 |-The branch is then unsatisfiable
% 19.66/5.05 |-Branch two:
% 19.66/5.05 | (2149) ~ (all_0_101_101 = e23)
% 19.66/5.05 | (2575) all_0_106_106 = e23 | all_0_110_110 = e23
% 19.66/5.05 |
% 19.66/5.05 +-Applying beta-rule and splitting (2575), into two cases.
% 19.66/5.05 |-Branch one:
% 19.66/5.05 | (2576) all_0_106_106 = e23
% 19.66/5.05 |
% 19.66/5.05 | Combining equations (464,2576) yields a new equation:
% 19.66/5.05 | (2147) e23 = e21
% 19.66/5.05 |
% 19.66/5.05 | Equations (2147) can reduce 275 to:
% 19.66/5.05 | (392) $false
% 19.66/5.05 |
% 19.66/5.05 |-The branch is then unsatisfiable
% 19.66/5.05 |-Branch two:
% 19.66/5.05 | (2579) ~ (all_0_106_106 = e23)
% 19.66/5.05 | (2580) all_0_110_110 = e23
% 19.66/5.05 |
% 19.66/5.05 | From (2580) and (37) follows:
% 19.66/5.05 | (2581) h1(e11) = e23
% 19.66/5.05 |
% 19.66/5.05 | From (2580) and (86) follows:
% 19.66/5.05 | (2582) op2(all_0_96_96, e23) = all_0_70_70
% 19.66/5.05 |
% 19.66/5.05 | From (2580) and (22) follows:
% 19.66/5.05 | (2583) op2(all_0_97_97, e23) = all_0_90_90
% 19.66/5.05 |
% 19.66/5.05 | From (2580) and (41) follows:
% 19.66/5.05 | (2584) op2(e23, all_0_96_96) = all_0_79_79
% 19.66/5.05 |
% 19.66/5.05 | From (2580) and (26) follows:
% 19.66/5.05 | (2585) op2(e23, all_0_97_97) = all_0_84_84
% 19.66/5.05 |
% 19.66/5.05 | From (2580)(2580) and (250) follows:
% 19.66/5.05 | (2586) op2(e23, e23) = all_0_97_97
% 19.66/5.05 |
% 19.66/5.05 | From (2580) and (301) follows:
% 19.66/5.05 | (2587) op2(e23, e20) = all_0_81_81
% 19.66/5.05 |
% 19.66/5.05 | From (2580) and (330) follows:
% 19.66/5.05 | (2588) op2(e20, e23) = all_0_96_96
% 19.66/5.05 |
% 19.66/5.05 | From (2580) and (51) follows:
% 19.66/5.05 | (2589) op2(e20, e20) = e23
% 19.66/5.05 |
% 19.66/5.05 +-Applying beta-rule and splitting (57), into two cases.
% 19.66/5.05 |-Branch one:
% 19.66/5.05 | (505) all_0_104_104 = e23
% 19.66/5.05 |
% 19.66/5.05 | From (505) and (298) follows:
% 19.66/5.05 | (508) op2(e21, e23) = e23
% 19.66/5.05 |
% 19.66/5.05 | Instantiating formula (64) with e23, e23, e21, all_0_97_97 and discharging atoms op2(e23, e23) = all_0_97_97, op2(e23, e23) = e21, yields:
% 19.66/5.05 | (564) all_0_97_97 = e21
% 19.66/5.05 |
% 19.66/5.05 | Instantiating formula (64) with e23, e21, e22, all_0_94_94 and discharging atoms op2(e23, e21) = all_0_94_94, op2(e23, e21) = e22, yields:
% 19.66/5.05 | (563) all_0_94_94 = e22
% 19.66/5.05 |
% 19.66/5.05 | Instantiating formula (64) with e23, e20, all_0_81_81, e20 and discharging atoms op2(e23, e20) = all_0_81_81, op2(e23, e20) = e20, yields:
% 19.66/5.05 | (567) all_0_81_81 = e20
% 19.66/5.05 |
% 19.66/5.05 | Instantiating formula (64) with e21, e23, e23, all_0_15_15 and discharging atoms op2(e21, e23) = all_0_15_15, op2(e21, e23) = e23, yields:
% 19.66/5.05 | (568) all_0_15_15 = e23
% 19.66/5.05 |
% 19.66/5.05 | Instantiating formula (64) with e21, e21, all_0_95_95, e20 and discharging atoms op2(e21, e21) = all_0_95_95, op2(e21, e21) = e20, yields:
% 19.66/5.05 | (585) all_0_95_95 = e20
% 19.66/5.05 |
% 19.66/5.05 | Instantiating formula (64) with e20, e23, e22, all_0_96_96 and discharging atoms op2(e20, e23) = all_0_96_96, op2(e20, e23) = e22, yields:
% 19.66/5.05 | (2597) all_0_96_96 = e22
% 19.66/5.05 |
% 19.66/5.05 | Combining equations (564,368) yields a new equation:
% 19.66/5.05 | (587) all_0_83_83 = e21
% 19.66/5.05 |
% 19.66/5.05 | Combining equations (2597,367) yields a new equation:
% 19.66/5.05 | (2599) all_0_76_76 = e22
% 19.66/5.05 |
% 19.66/5.05 | Combining equations (585,360) yields a new equation:
% 19.66/5.05 | (589) all_0_17_17 = e20
% 19.66/5.05 |
% 19.66/5.05 | Combining equations (563,364) yields a new equation:
% 19.66/5.05 | (590) all_0_10_10 = e22
% 19.66/5.05 |
% 19.66/5.05 | From (2597) and (181) follows:
% 19.66/5.05 | (2602) h1(e13) = e22
% 19.66/5.05 |
% 19.66/5.05 | From (564) and (322) follows:
% 19.66/5.05 | (592) h1(e10) = e21
% 19.66/5.05 |
% 19.66/5.05 | From (563) and (158) follows:
% 19.66/5.05 | (593) h4(e13) = e22
% 19.66/5.05 |
% 19.66/5.05 | From (585) and (279) follows:
% 19.66/5.05 | (594) h4(e10) = e20
% 19.66/5.05 |
% 19.66/5.05 | From (563)(563) and (343) follows:
% 19.66/5.05 | (595) op2(e22, e22) = all_0_0_0
% 19.66/5.05 |
% 19.66/5.05 | From (563)(585) and (87) follows:
% 19.66/5.05 | (596) op2(e22, e20) = all_0_6_6
% 19.66/5.05 |
% 19.66/5.05 | From (563) and (103) follows:
% 19.66/5.05 | (597) op2(e22, e23) = all_0_2_2
% 19.66/5.05 |
% 19.66/5.05 | From (563) and (497) follows:
% 19.66/5.05 | (598) op2(e22, e21) = all_0_4_4
% 19.66/5.05 |
% 19.66/5.05 | From (585)(563) and (203) follows:
% 19.66/5.05 | (599) op2(e20, e22) = all_0_20_20
% 19.66/5.05 |
% 19.66/5.05 | From (585)(585) and (180) follows:
% 19.66/5.05 | (600) op2(e20, e20) = all_0_26_26
% 19.66/5.05 |
% 19.66/5.05 | From (585) and (291) follows:
% 19.66/5.05 | (601) op2(e20, e23) = all_0_22_22
% 19.66/5.05 |
% 19.66/5.05 | From (585) and (498) follows:
% 19.66/5.05 | (602) op2(e20, e21) = all_0_24_24
% 19.66/5.05 |
% 19.66/5.05 | From (2597)(2597) and (114) follows:
% 19.66/5.05 | (2614) op2(e22, e22) = all_0_66_66
% 19.66/5.05 |
% 19.66/5.05 | From (2597)(564) and (316) follows:
% 19.66/5.05 | (2615) op2(e22, e21) = all_0_72_72
% 19.66/5.05 |
% 19.66/5.05 | From (2597) and (2582) follows:
% 19.66/5.05 | (2616) op2(e22, e23) = all_0_70_70
% 19.66/5.05 |
% 19.66/5.05 | From (2597) and (348) follows:
% 19.66/5.05 | (2617) op2(e22, e20) = all_0_68_68
% 19.66/5.05 |
% 19.66/5.05 | From (564)(2597) and (185) follows:
% 19.66/5.05 | (2618) op2(e21, e22) = all_0_86_86
% 19.66/5.05 |
% 19.66/5.05 | From (564)(564) and (144) follows:
% 19.66/5.05 | (608) op2(e21, e21) = all_0_92_92
% 19.66/5.05 |
% 19.66/5.05 | From (564) and (2583) follows:
% 19.66/5.05 | (2620) op2(e21, e23) = all_0_90_90
% 19.66/5.05 |
% 19.66/5.05 | From (564) and (142) follows:
% 19.66/5.05 | (610) op2(e21, e20) = all_0_88_88
% 19.66/5.05 |
% 19.66/5.05 | From (563) and (253) follows:
% 19.66/5.05 | (611) op2(e23, e22) = all_0_8_8
% 19.66/5.05 |
% 19.66/5.05 | From (585) and (329) follows:
% 19.66/5.05 | (612) op2(e23, e20) = all_0_11_11
% 19.66/5.05 |
% 19.66/5.05 | From (2597) and (2584) follows:
% 19.66/5.05 | (2624) op2(e23, e22) = all_0_79_79
% 19.66/5.05 |
% 19.66/5.05 | From (564) and (2585) follows:
% 19.66/5.05 | (2625) op2(e23, e21) = all_0_84_84
% 19.66/5.05 |
% 19.66/5.05 | From (563) and (503) follows:
% 19.66/5.05 | (413) op2(e23, e21) = e22
% 19.66/5.05 |
% 19.66/5.05 | From (567) and (2587) follows:
% 19.66/5.05 | (2417) op2(e23, e20) = e20
% 19.66/5.05 |
% 19.66/5.05 | From (563) and (499) follows:
% 19.66/5.05 | (619) op2(e21, e22) = all_0_13_13
% 19.66/5.05 |
% 19.66/5.05 | From (585) and (500) follows:
% 19.66/5.05 | (620) op2(e21, e20) = all_0_18_18
% 19.66/5.05 |
% 19.66/5.05 | From (568) and (502) follows:
% 19.66/5.05 | (508) op2(e21, e23) = e23
% 19.66/5.05 |
% 19.66/5.05 | From (585) and (501) follows:
% 19.66/5.05 | (234) op2(e21, e21) = e20
% 19.66/5.06 |
% 19.66/5.06 | From (2597) and (108) follows:
% 19.66/5.06 | (2632) op2(e20, e22) = all_0_74_74
% 19.66/5.06 |
% 19.66/5.06 | From (564) and (170) follows:
% 19.66/5.06 | (626) op2(e20, e21) = all_0_77_77
% 19.66/5.06 |
% 19.66/5.06 | From (2597) and (2588) follows:
% 19.66/5.06 | (2534) op2(e20, e23) = e22
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e23, e22, all_0_8_8, e23 and discharging atoms op2(e23, e22) = all_0_8_8, op2(e23, e22) = e23, yields:
% 19.66/5.06 | (2635) all_0_8_8 = e23
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e23, e22, all_0_79_79, all_0_8_8 and discharging atoms op2(e23, e22) = all_0_8_8, op2(e23, e22) = all_0_79_79, yields:
% 19.66/5.06 | (2636) all_0_8_8 = all_0_79_79
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e23, e21, all_0_84_84, e22 and discharging atoms op2(e23, e21) = all_0_84_84, op2(e23, e21) = e22, yields:
% 19.66/5.06 | (2637) all_0_84_84 = e22
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e23, e20, all_0_11_11, e20 and discharging atoms op2(e23, e20) = all_0_11_11, op2(e23, e20) = e20, yields:
% 19.66/5.06 | (2638) all_0_11_11 = e20
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e22, e23, all_0_2_2, e20 and discharging atoms op2(e22, e23) = all_0_2_2, op2(e22, e23) = e20, yields:
% 19.66/5.06 | (2639) all_0_2_2 = e20
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e22, e23, all_0_70_70, all_0_2_2 and discharging atoms op2(e22, e23) = all_0_2_2, op2(e22, e23) = all_0_70_70, yields:
% 19.66/5.06 | (2640) all_0_2_2 = all_0_70_70
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e22, e22, all_0_0_0, e21 and discharging atoms op2(e22, e22) = all_0_0_0, op2(e22, e22) = e21, yields:
% 19.66/5.06 | (637) all_0_0_0 = e21
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) 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:
% 19.66/5.06 | (2642) all_0_0_0 = all_0_66_66
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e22, e21, all_0_4_4, e23 and discharging atoms op2(e22, e21) = all_0_4_4, op2(e22, e21) = e23, yields:
% 19.66/5.06 | (638) all_0_4_4 = e23
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e22, e21, all_0_72_72, all_0_4_4 and discharging atoms op2(e22, e21) = all_0_4_4, op2(e22, e21) = all_0_72_72, yields:
% 19.66/5.06 | (2644) all_0_4_4 = all_0_72_72
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e22, e20, all_0_6_6, e22 and discharging atoms op2(e22, e20) = all_0_6_6, op2(e22, e20) = e22, yields:
% 19.66/5.06 | (2645) all_0_6_6 = e22
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e22, e20, all_0_68_68, all_0_6_6 and discharging atoms op2(e22, e20) = all_0_6_6, op2(e22, e20) = all_0_68_68, yields:
% 19.66/5.06 | (2646) all_0_6_6 = all_0_68_68
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e21, e23, all_0_90_90, e23 and discharging atoms op2(e21, e23) = all_0_90_90, op2(e21, e23) = e23, yields:
% 19.66/5.06 | (2647) all_0_90_90 = e23
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e21, e22, all_0_13_13, e22 and discharging atoms op2(e21, e22) = all_0_13_13, op2(e21, e22) = e22, yields:
% 19.66/5.06 | (642) all_0_13_13 = e22
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e21, e22, all_0_86_86, all_0_13_13 and discharging atoms op2(e21, e22) = all_0_13_13, op2(e21, e22) = all_0_86_86, yields:
% 19.66/5.06 | (2649) all_0_13_13 = all_0_86_86
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e21, e21, all_0_92_92, e20 and discharging atoms op2(e21, e21) = all_0_92_92, op2(e21, e21) = e20, yields:
% 19.66/5.06 | (644) all_0_92_92 = e20
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e21, e20, all_0_18_18, e21 and discharging atoms op2(e21, e20) = all_0_18_18, op2(e21, e20) = e21, yields:
% 19.66/5.06 | (645) all_0_18_18 = e21
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e21, e20, all_0_88_88, all_0_18_18 and discharging atoms op2(e21, e20) = all_0_18_18, op2(e21, e20) = all_0_88_88, yields:
% 19.66/5.06 | (646) all_0_18_18 = all_0_88_88
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e20, e23, all_0_22_22, e22 and discharging atoms op2(e20, e23) = all_0_22_22, op2(e20, e23) = e22, yields:
% 19.66/5.06 | (2653) all_0_22_22 = e22
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e20, e22, all_0_20_20, e20 and discharging atoms op2(e20, e22) = all_0_20_20, op2(e20, e22) = e20, yields:
% 19.66/5.06 | (2654) all_0_20_20 = e20
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e20, e22, all_0_74_74, all_0_20_20 and discharging atoms op2(e20, e22) = all_0_20_20, op2(e20, e22) = all_0_74_74, yields:
% 19.66/5.06 | (2655) all_0_20_20 = all_0_74_74
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e20, e21, all_0_24_24, e21 and discharging atoms op2(e20, e21) = all_0_24_24, op2(e20, e21) = e21, yields:
% 19.66/5.06 | (650) all_0_24_24 = e21
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e20, e21, all_0_77_77, all_0_24_24 and discharging atoms op2(e20, e21) = all_0_24_24, op2(e20, e21) = all_0_77_77, yields:
% 19.66/5.06 | (651) all_0_24_24 = all_0_77_77
% 19.66/5.06 |
% 19.66/5.06 | Instantiating formula (64) with e20, e20, all_0_26_26, e23 and discharging atoms op2(e20, e20) = all_0_26_26, op2(e20, e20) = e23, yields:
% 19.66/5.06 | (2658) all_0_26_26 = e23
% 19.66/5.06 |
% 19.66/5.06 | Combining equations (637,2642) yields a new equation:
% 19.66/5.06 | (629) all_0_66_66 = e21
% 19.66/5.06 |
% 19.66/5.06 | Combining equations (2640,2639) yields a new equation:
% 19.66/5.06 | (2660) all_0_70_70 = e20
% 19.66/5.06 |
% 19.66/5.06 | Simplifying 2660 yields:
% 19.66/5.06 | (655) all_0_70_70 = e20
% 19.66/5.06 |
% 19.66/5.06 | Combining equations (638,2644) yields a new equation:
% 19.66/5.06 | (2662) all_0_72_72 = e23
% 19.66/5.06 |
% 19.66/5.06 | Combining equations (2646,2645) yields a new equation:
% 19.66/5.06 | (2663) all_0_68_68 = e22
% 19.66/5.06 |
% 19.66/5.06 | Simplifying 2663 yields:
% 19.66/5.06 | (2664) all_0_68_68 = e22
% 19.66/5.06 |
% 19.66/5.06 | Combining equations (2635,2636) yields a new equation:
% 19.66/5.06 | (2665) all_0_79_79 = e23
% 19.66/5.06 |
% 19.66/5.06 | Combining equations (642,2649) yields a new equation:
% 19.66/5.06 | (2666) all_0_86_86 = e22
% 19.66/5.06 |
% 19.66/5.06 | Combining equations (646,645) yields a new equation:
% 19.66/5.06 | (2667) all_0_88_88 = e21
% 19.66/5.06 |
% 19.66/5.06 | Simplifying 2667 yields:
% 19.66/5.06 | (659) all_0_88_88 = e21
% 19.66/5.06 |
% 19.66/5.06 | Combining equations (2655,2654) yields a new equation:
% 19.66/5.06 | (660) all_0_74_74 = e20
% 19.66/5.06 |
% 19.66/5.06 | Simplifying 660 yields:
% 19.66/5.06 | (661) all_0_74_74 = e20
% 19.66/5.06 |
% 19.94/5.06 | Combining equations (651,650) yields a new equation:
% 19.94/5.06 | (2671) all_0_77_77 = e21
% 19.94/5.06 |
% 19.94/5.06 | Simplifying 2671 yields:
% 19.94/5.06 | (662) all_0_77_77 = e21
% 19.94/5.06 |
% 19.94/5.06 | Combining equations (2666,2649) yields a new equation:
% 19.94/5.06 | (642) all_0_13_13 = e22
% 19.94/5.06 |
% 19.94/5.06 | Combining equations (2665,2636) yields a new equation:
% 19.94/5.06 | (2635) all_0_8_8 = e23
% 19.94/5.06 |
% 19.94/5.06 | Combining equations (2662,2644) yields a new equation:
% 19.94/5.06 | (638) all_0_4_4 = e23
% 19.94/5.06 |
% 19.94/5.06 | Combining equations (629,2642) yields a new equation:
% 19.94/5.06 | (637) all_0_0_0 = e21
% 19.94/5.06 |
% 19.94/5.06 +-Applying beta-rule and splitting (182), into two cases.
% 19.94/5.06 |-Branch one:
% 19.94/5.06 | (699) all_0_122_122 = e12
% 19.94/5.06 |
% 19.94/5.06 | Equations (699) can reduce 200 to:
% 19.94/5.06 | (1015) ~ (all_0_113_113 = e12)
% 19.94/5.06 |
% 19.94/5.06 | Equations (699) can reduce 16 to:
% 19.94/5.06 | (1001) ~ (all_0_120_120 = e12)
% 19.94/5.06 |
% 19.94/5.06 | Equations (699) can reduce 140 to:
% 19.94/5.06 | (1007) ~ (all_0_121_121 = e12)
% 19.94/5.06 |
% 19.94/5.06 +-Applying beta-rule and splitting (135), into two cases.
% 19.94/5.06 |-Branch one:
% 19.94/5.06 | (693) all_0_113_113 = e12
% 19.94/5.06 |
% 19.94/5.06 | Equations (693) can reduce 1015 to:
% 19.94/5.06 | (392) $false
% 19.94/5.06 |
% 19.94/5.06 |-The branch is then unsatisfiable
% 19.94/5.06 |-Branch two:
% 19.94/5.06 | (1015) ~ (all_0_113_113 = e12)
% 19.94/5.06 | (747) all_0_113_113 = e11
% 19.94/5.06 |
% 19.94/5.06 | Equations (747) can reduce 186 to:
% 19.94/5.06 | (936) ~ (all_0_111_111 = e11)
% 19.94/5.06 |
% 19.94/5.06 | Equations (747) can reduce 305 to:
% 19.94/5.06 | (28) ~ (all_0_112_112 = e11)
% 19.94/5.06 |
% 19.94/5.06 | Equations (747) can reduce 283 to:
% 19.94/5.06 | (1895) ~ (all_0_114_114 = e11)
% 19.94/5.06 |
% 19.94/5.06 | Simplifying 1895 yields:
% 19.94/5.06 | (805) ~ (all_0_114_114 = e11)
% 19.94/5.06 |
% 19.94/5.06 +-Applying beta-rule and splitting (340), into two cases.
% 19.94/5.06 |-Branch one:
% 19.94/5.06 | (678) all_0_115_115 = e12
% 19.94/5.06 |
% 19.94/5.06 | Equations (678) can reduce 286 to:
% 19.94/5.06 | (1219) ~ (all_0_111_111 = e12)
% 19.94/5.06 |
% 19.94/5.06 | Equations (678) can reduce 349 to:
% 19.94/5.06 | (2691) ~ (all_0_116_116 = e12)
% 19.94/5.06 |
% 19.94/5.06 | Simplifying 2691 yields:
% 19.94/5.06 | (1474) ~ (all_0_116_116 = e12)
% 19.94/5.06 |
% 19.94/5.06 | Equations (678) can reduce 152 to:
% 19.94/5.06 | (1311) ~ (all_0_117_117 = e12)
% 19.94/5.06 |
% 19.94/5.06 | Simplifying 1311 yields:
% 19.94/5.06 | (792) ~ (all_0_117_117 = e12)
% 19.94/5.06 |
% 19.94/5.06 | Equations (678) can reduce 256 to:
% 19.94/5.06 | (1313) ~ (all_0_120_120 = e12)
% 19.94/5.06 |
% 19.94/5.06 | Simplifying 1313 yields:
% 19.94/5.06 | (1001) ~ (all_0_120_120 = e12)
% 19.94/5.06 |
% 19.94/5.06 | Equations (678) can reduce 121 to:
% 19.94/5.06 | (1052) ~ (e13 = e12)
% 19.94/5.06 |
% 19.94/5.06 | Simplifying 1052 yields:
% 19.94/5.06 | (278) ~ (e13 = e12)
% 19.94/5.06 |
% 19.94/5.06 +-Applying beta-rule and splitting (285), into two cases.
% 19.94/5.06 |-Branch one:
% 19.94/5.06 | (682) all_0_116_116 = e12
% 19.94/5.06 |
% 19.94/5.06 | Equations (682) can reduce 1474 to:
% 19.94/5.06 | (392) $false
% 19.94/5.06 |
% 19.94/5.06 |-The branch is then unsatisfiable
% 19.94/5.06 |-Branch two:
% 19.94/5.06 | (1474) ~ (all_0_116_116 = e12)
% 19.94/5.06 | (722) all_0_116_116 = e10
% 19.94/5.06 |
% 19.94/5.06 | Equations (722) can reduce 78 to:
% 19.94/5.06 | (799) ~ (all_0_119_119 = e10)
% 19.94/5.06 |
% 19.94/5.06 | Simplifying 799 yields:
% 19.94/5.06 | (159) ~ (all_0_119_119 = e10)
% 19.94/5.06 |
% 19.94/5.06 | Equations (722) can reduce 126 to:
% 19.94/5.06 | (1146) ~ (all_0_123_123 = e10)
% 19.94/5.06 |
% 19.94/5.06 | Simplifying 1146 yields:
% 19.94/5.06 | (754) ~ (all_0_123_123 = e10)
% 19.94/5.06 |
% 19.94/5.06 | Equations (722) can reduce 63 to:
% 19.94/5.06 | (675) ~ (e13 = e10)
% 19.94/5.06 |
% 19.94/5.06 | Simplifying 675 yields:
% 19.94/5.06 | (189) ~ (e13 = e10)
% 19.94/5.06 |
% 19.94/5.07 | Equations (722) can reduce 1474 to:
% 19.94/5.07 | (716) ~ (e12 = e10)
% 19.94/5.07 |
% 19.94/5.07 | Simplifying 716 yields:
% 19.94/5.07 | (147) ~ (e12 = e10)
% 19.94/5.07 |
% 19.94/5.07 +-Applying beta-rule and splitting (321), into two cases.
% 19.94/5.07 |-Branch one:
% 19.94/5.07 | (821) all_0_118_118 = e13
% 19.94/5.07 |
% 19.94/5.07 | Equations (821) can reduce 46 to:
% 19.94/5.07 | (967) ~ (all_0_112_112 = e13)
% 19.94/5.07 |
% 19.94/5.07 | Equations (821) can reduce 14 to:
% 19.95/5.07 | (2713) ~ (all_0_121_121 = e13)
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 2713 yields:
% 19.95/5.07 | (964) ~ (all_0_121_121 = e13)
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (102), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (813) all_0_117_117 = e12
% 19.95/5.07 |
% 19.95/5.07 | Equations (813) can reduce 792 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (792) ~ (all_0_117_117 = e12)
% 19.95/5.07 | (816) all_0_118_118 = e12 | all_0_119_119 = e12
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (225), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (736) all_0_112_112 = e12
% 19.95/5.07 |
% 19.95/5.07 | Equations (736) can reduce 208 to:
% 19.95/5.07 | (1429) ~ (all_0_121_121 = e12)
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 1429 yields:
% 19.95/5.07 | (1007) ~ (all_0_121_121 = e12)
% 19.95/5.07 |
% 19.95/5.07 | Equations (736) can reduce 967 to:
% 19.95/5.07 | (1052) ~ (e13 = e12)
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 1052 yields:
% 19.95/5.07 | (278) ~ (e13 = e12)
% 19.95/5.07 |
% 19.95/5.07 | Equations (736) can reduce 28 to:
% 19.95/5.07 | (299) ~ (e12 = e11)
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (124), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (713) all_0_112_112 = e10
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (713,736) yields a new equation:
% 19.95/5.07 | (679) e12 = e10
% 19.95/5.07 |
% 19.95/5.07 | Equations (679) can reduce 147 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (781) ~ (all_0_112_112 = e10)
% 19.95/5.07 | (771) all_0_121_121 = e10
% 19.95/5.07 |
% 19.95/5.07 | Equations (771) can reduce 5 to:
% 19.95/5.07 | (674) ~ (all_0_120_120 = e10)
% 19.95/5.07 |
% 19.95/5.07 | Equations (771) can reduce 964 to:
% 19.95/5.07 | (675) ~ (e13 = e10)
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 675 yields:
% 19.95/5.07 | (189) ~ (e13 = e10)
% 19.95/5.07 |
% 19.95/5.07 | Equations (771) can reduce 1007 to:
% 19.95/5.07 | (716) ~ (e12 = e10)
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 716 yields:
% 19.95/5.07 | (147) ~ (e12 = e10)
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (83), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (787) all_0_111_111 = e10
% 19.95/5.07 |
% 19.95/5.07 | Equations (787) can reduce 270 to:
% 19.95/5.07 | (673) ~ (all_0_120_120 = e10)
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 673 yields:
% 19.95/5.07 | (674) ~ (all_0_120_120 = e10)
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (816), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (824) all_0_118_118 = e12
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (821,824) yields a new equation:
% 19.95/5.07 | (1969) e13 = e12
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 1969 yields:
% 19.95/5.07 | (957) e13 = e12
% 19.95/5.07 |
% 19.95/5.07 | Equations (957) can reduce 278 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (1877) ~ (all_0_118_118 = e12)
% 19.95/5.07 | (1476) all_0_119_119 = e12
% 19.95/5.07 |
% 19.95/5.07 | Equations (1476) can reduce 91 to:
% 19.95/5.07 | (792) ~ (all_0_117_117 = e12)
% 19.95/5.07 |
% 19.95/5.07 | Equations (1476) can reduce 150 to:
% 19.95/5.07 | (686) ~ (all_0_123_123 = e12)
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 686 yields:
% 19.95/5.07 | (687) ~ (all_0_123_123 = e12)
% 19.95/5.07 |
% 19.95/5.07 | Equations (1476) can reduce 159 to:
% 19.95/5.07 | (147) ~ (e12 = e10)
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (173), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (744) all_0_117_117 = e11
% 19.95/5.07 |
% 19.95/5.07 | Equations (744) can reduce 792 to:
% 19.95/5.07 | (706) ~ (e12 = e11)
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 706 yields:
% 19.95/5.07 | (299) ~ (e12 = e11)
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (6), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (1176) all_0_111_111 = e13
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (1176,787) yields a new equation:
% 19.95/5.07 | (949) e13 = e10
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 949 yields:
% 19.95/5.07 | (950) e13 = e10
% 19.95/5.07 |
% 19.95/5.07 | Equations (950) can reduce 189 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (738) ~ (all_0_111_111 = e13)
% 19.95/5.07 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 19.95/5.07 |
% 19.95/5.07 | Equations (787) can reduce 738 to:
% 19.95/5.07 | (675) ~ (e13 = e10)
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 675 yields:
% 19.95/5.07 | (189) ~ (e13 = e10)
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (132), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (1176) all_0_111_111 = e13
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (1176,787) yields a new equation:
% 19.95/5.07 | (949) e13 = e10
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 949 yields:
% 19.95/5.07 | (950) e13 = e10
% 19.95/5.07 |
% 19.95/5.07 | Equations (950) can reduce 189 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (738) ~ (all_0_111_111 = e13)
% 19.95/5.07 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 19.95/5.07 |
% 19.95/5.07 | Equations (787) can reduce 738 to:
% 19.95/5.07 | (675) ~ (e13 = e10)
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 675 yields:
% 19.95/5.07 | (189) ~ (e13 = e10)
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (9), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (1206) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13)
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (1206), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (1207) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (1207), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (1208) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (1208), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (1209) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11)
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (1209), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (1210) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10))
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (1210), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (1211) all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)
% 19.95/5.07 |
% 19.95/5.07 | Applying alpha-rule on (1211) yields:
% 19.95/5.07 | (1176) all_0_111_111 = e13
% 19.95/5.07 | (1213) ~ (all_0_123_123 = e13) | all_0_120_120 = e10
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (1176,787) yields a new equation:
% 19.95/5.07 | (949) e13 = e10
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 949 yields:
% 19.95/5.07 | (950) e13 = e10
% 19.95/5.07 |
% 19.95/5.07 | Equations (950) can reduce 189 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (1215) all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)
% 19.95/5.07 |
% 19.95/5.07 | Applying alpha-rule on (1215) yields:
% 19.95/5.07 | (1216) all_0_111_111 = e12
% 19.95/5.07 | (828) all_0_112_112 = e13
% 19.95/5.07 | (1218) ~ (all_0_123_123 = e12) | all_0_121_121 = e10
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (1216,787) yields a new equation:
% 19.95/5.07 | (1004) e12 = e10
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 1004 yields:
% 19.95/5.07 | (679) e12 = e10
% 19.95/5.07 |
% 19.95/5.07 | Equations (679) can reduce 147 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (1224) all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11
% 19.95/5.07 |
% 19.95/5.07 | Applying alpha-rule on (1224) yields:
% 19.95/5.07 | (787) all_0_111_111 = e10
% 19.95/5.07 | (752) all_0_114_114 = e13
% 19.95/5.07 | (779) all_0_119_119 = e11
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (779,1476) yields a new equation:
% 19.95/5.07 | (749) e12 = e11
% 19.95/5.07 |
% 19.95/5.07 | Equations (749) can reduce 299 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (1231) all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 19.95/5.07 |
% 19.95/5.07 | Applying alpha-rule on (1231) yields:
% 19.95/5.07 | (779) all_0_119_119 = e11
% 19.95/5.07 | (726) all_0_123_123 = e10
% 19.95/5.07 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (779,1476) yields a new equation:
% 19.95/5.07 | (749) e12 = e11
% 19.95/5.07 |
% 19.95/5.07 | Equations (749) can reduce 299 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (1237) all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 19.95/5.07 |
% 19.95/5.07 | Applying alpha-rule on (1237) yields:
% 19.95/5.07 | (779) all_0_119_119 = e11
% 19.95/5.07 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (779,1476) yields a new equation:
% 19.95/5.07 | (749) e12 = e11
% 19.95/5.07 |
% 19.95/5.07 | Equations (749) can reduce 299 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (1241) all_0_120_120 = e10 & all_0_123_123 = e13
% 19.95/5.07 |
% 19.95/5.07 | Applying alpha-rule on (1241) yields:
% 19.95/5.07 | (759) all_0_120_120 = e10
% 19.95/5.07 | (832) all_0_123_123 = e13
% 19.95/5.07 |
% 19.95/5.07 | Equations (759) can reduce 674 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (1247) all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13)
% 19.95/5.07 |
% 19.95/5.07 | Applying alpha-rule on (1247) yields:
% 19.95/5.07 | (771) all_0_121_121 = e10
% 19.95/5.07 | (1013) all_0_123_123 = e12
% 19.95/5.07 | (1250) ~ (all_0_111_111 = e12) | all_0_112_112 = e13
% 19.95/5.07 |
% 19.95/5.07 | Equations (1013) can reduce 687 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (982) ~ (all_0_117_117 = e11)
% 19.95/5.07 | (779) all_0_119_119 = e11
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (779,1476) yields a new equation:
% 19.95/5.07 | (749) e12 = e11
% 19.95/5.07 |
% 19.95/5.07 | Equations (749) can reduce 299 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (670) ~ (all_0_111_111 = e10)
% 19.95/5.07 | (1859) all_0_115_115 = e10 | all_0_120_120 = e10
% 19.95/5.07 |
% 19.95/5.07 +-Applying beta-rule and splitting (1859), into two cases.
% 19.95/5.07 |-Branch one:
% 19.95/5.07 | (669) all_0_115_115 = e10
% 19.95/5.07 |
% 19.95/5.07 | Combining equations (678,669) yields a new equation:
% 19.95/5.07 | (1004) e12 = e10
% 19.95/5.07 |
% 19.95/5.07 | Simplifying 1004 yields:
% 19.95/5.07 | (679) e12 = e10
% 19.95/5.07 |
% 19.95/5.07 | Equations (679) can reduce 147 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (1297) ~ (all_0_115_115 = e10)
% 19.95/5.07 | (759) all_0_120_120 = e10
% 19.95/5.07 |
% 19.95/5.07 | Equations (759) can reduce 674 to:
% 19.95/5.07 | (392) $false
% 19.95/5.07 |
% 19.95/5.07 |-The branch is then unsatisfiable
% 19.95/5.07 |-Branch two:
% 19.95/5.07 | (694) ~ (all_0_112_112 = e12)
% 19.95/5.07 | (1614) all_0_118_118 = e12 | all_0_121_121 = e12
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (1614), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (824) all_0_118_118 = e12
% 19.95/5.08 |
% 19.95/5.08 | Combining equations (824,821) yields a new equation:
% 19.95/5.08 | (957) e13 = e12
% 19.95/5.08 |
% 19.95/5.08 | Equations (957) can reduce 278 to:
% 19.95/5.08 | (392) $false
% 19.95/5.08 |
% 19.95/5.08 |-The branch is then unsatisfiable
% 19.95/5.08 |-Branch two:
% 19.95/5.08 | (1877) ~ (all_0_118_118 = e12)
% 19.95/5.08 | (765) all_0_121_121 = e12
% 19.95/5.08 |
% 19.95/5.08 | Equations (765) can reduce 1007 to:
% 19.95/5.08 | (392) $false
% 19.95/5.08 |
% 19.95/5.08 |-The branch is then unsatisfiable
% 19.95/5.08 |-Branch two:
% 19.95/5.08 | (819) ~ (all_0_118_118 = e13)
% 19.95/5.08 | (824) all_0_118_118 = e12
% 19.95/5.08 |
% 19.95/5.08 | Equations (824) can reduce 46 to:
% 19.95/5.08 | (694) ~ (all_0_112_112 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Equations (824) can reduce 244 to:
% 19.95/5.08 | (792) ~ (all_0_117_117 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Equations (824) can reduce 14 to:
% 19.95/5.08 | (1429) ~ (all_0_121_121 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 1429 yields:
% 19.95/5.08 | (1007) ~ (all_0_121_121 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Equations (824) can reduce 819 to:
% 19.95/5.08 | (1052) ~ (e13 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 1052 yields:
% 19.95/5.08 | (278) ~ (e13 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Equations (824) can reduce 153 to:
% 19.95/5.08 | (299) ~ (e12 = e11)
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (52), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (1465) all_0_114_114 = e12
% 19.95/5.08 |
% 19.95/5.08 | Equations (1465) can reduce 65 to:
% 19.95/5.08 | (1219) ~ (all_0_111_111 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Equations (1465) can reduce 207 to:
% 19.95/5.08 | (694) ~ (all_0_112_112 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Equations (1465) can reduce 359 to:
% 19.95/5.08 | (684) ~ (all_0_119_119 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 684 yields:
% 19.95/5.08 | (685) ~ (all_0_119_119 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Equations (1465) can reduce 267 to:
% 19.95/5.08 | (686) ~ (all_0_123_123 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 686 yields:
% 19.95/5.08 | (687) ~ (all_0_123_123 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Equations (1465) can reduce 805 to:
% 19.95/5.08 | (299) ~ (e12 = e11)
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (124), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (713) all_0_112_112 = e10
% 19.95/5.08 |
% 19.95/5.08 | Equations (713) can reduce 208 to:
% 19.95/5.08 | (1034) ~ (all_0_121_121 = e10)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 1034 yields:
% 19.95/5.08 | (1035) ~ (all_0_121_121 = e10)
% 19.95/5.08 |
% 19.95/5.08 | Equations (713) can reduce 28 to:
% 19.95/5.08 | (784) ~ (e11 = e10)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 784 yields:
% 19.95/5.08 | (284) ~ (e11 = e10)
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (354), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (828) all_0_112_112 = e13
% 19.95/5.08 |
% 19.95/5.08 | Combining equations (828,713) yields a new equation:
% 19.95/5.08 | (949) e13 = e10
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 949 yields:
% 19.95/5.08 | (950) e13 = e10
% 19.95/5.08 |
% 19.95/5.08 | Equations (950) can reduce 189 to:
% 19.95/5.08 | (392) $false
% 19.95/5.08 |
% 19.95/5.08 |-The branch is then unsatisfiable
% 19.95/5.08 |-Branch two:
% 19.95/5.08 | (967) ~ (all_0_112_112 = e13)
% 19.95/5.08 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (968), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (821) all_0_118_118 = e13
% 19.95/5.08 |
% 19.95/5.08 | Combining equations (824,821) yields a new equation:
% 19.95/5.08 | (957) e13 = e12
% 19.95/5.08 |
% 19.95/5.08 | Equations (957) can reduce 278 to:
% 19.95/5.08 | (392) $false
% 19.95/5.08 |
% 19.95/5.08 |-The branch is then unsatisfiable
% 19.95/5.08 |-Branch two:
% 19.95/5.08 | (819) ~ (all_0_118_118 = e13)
% 19.95/5.08 | (961) all_0_121_121 = e13
% 19.95/5.08 |
% 19.95/5.08 | Equations (961) can reduce 5 to:
% 19.95/5.08 | (959) ~ (all_0_120_120 = e13)
% 19.95/5.08 |
% 19.95/5.08 | Equations (961) can reduce 292 to:
% 19.95/5.08 | (1439) ~ (all_0_123_123 = e13)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 1439 yields:
% 19.95/5.08 | (946) ~ (all_0_123_123 = e13)
% 19.95/5.08 |
% 19.95/5.08 | Equations (961) can reduce 1007 to:
% 19.95/5.08 | (278) ~ (e13 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Equations (961) can reduce 1035 to:
% 19.95/5.08 | (189) ~ (e13 = e10)
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (96), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (759) all_0_120_120 = e10
% 19.95/5.08 |
% 19.95/5.08 | Equations (759) can reduce 270 to:
% 19.95/5.08 | (670) ~ (all_0_111_111 = e10)
% 19.95/5.08 |
% 19.95/5.08 | Equations (759) can reduce 35 to:
% 19.95/5.08 | (1146) ~ (all_0_123_123 = e10)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 1146 yields:
% 19.95/5.08 | (754) ~ (all_0_123_123 = e10)
% 19.95/5.08 |
% 19.95/5.08 | Equations (759) can reduce 959 to:
% 19.95/5.08 | (675) ~ (e13 = e10)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 675 yields:
% 19.95/5.08 | (189) ~ (e13 = e10)
% 19.95/5.08 |
% 19.95/5.08 | Equations (759) can reduce 1001 to:
% 19.95/5.08 | (716) ~ (e12 = e10)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 716 yields:
% 19.95/5.08 | (147) ~ (e12 = e10)
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (132), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (1176) all_0_111_111 = e13
% 19.95/5.08 |
% 19.95/5.08 | Equations (1176) can reduce 670 to:
% 19.95/5.08 | (189) ~ (e13 = e10)
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (45), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (1079) all_0_120_120 = e11
% 19.95/5.08 |
% 19.95/5.08 | Combining equations (1079,759) yields a new equation:
% 19.95/5.08 | (1095) e11 = e10
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 1095 yields:
% 19.95/5.08 | (803) e11 = e10
% 19.95/5.08 |
% 19.95/5.08 | Equations (803) can reduce 284 to:
% 19.95/5.08 | (392) $false
% 19.95/5.08 |
% 19.95/5.08 |-The branch is then unsatisfiable
% 19.95/5.08 |-Branch two:
% 19.95/5.08 | (1075) ~ (all_0_120_120 = e11)
% 19.95/5.08 | (1082) all_0_122_122 = e11 | all_0_123_123 = e11
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (1082), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (702) all_0_122_122 = e11
% 19.95/5.08 |
% 19.95/5.08 | Combining equations (702,699) yields a new equation:
% 19.95/5.08 | (749) e12 = e11
% 19.95/5.08 |
% 19.95/5.08 | Equations (749) can reduce 299 to:
% 19.95/5.08 | (392) $false
% 19.95/5.08 |
% 19.95/5.08 |-The branch is then unsatisfiable
% 19.95/5.08 |-Branch two:
% 19.95/5.08 | (1093) ~ (all_0_122_122 = e11)
% 19.95/5.08 | (999) all_0_123_123 = e11
% 19.95/5.08 |
% 19.95/5.08 | Equations (999) can reduce 150 to:
% 19.95/5.08 | (998) ~ (all_0_119_119 = e11)
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (173), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (744) all_0_117_117 = e11
% 19.95/5.08 |
% 19.95/5.08 | Equations (744) can reduce 792 to:
% 19.95/5.08 | (706) ~ (e12 = e11)
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 706 yields:
% 19.95/5.08 | (299) ~ (e12 = e11)
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (230), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (730), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (731), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (732), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (733), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 19.95/5.08 |
% 19.95/5.08 +-Applying beta-rule and splitting (734), into two cases.
% 19.95/5.08 |-Branch one:
% 19.95/5.08 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 19.95/5.08 |
% 19.95/5.08 | Applying alpha-rule on (735) yields:
% 19.95/5.08 | (736) all_0_112_112 = e12
% 19.95/5.08 | (678) all_0_115_115 = e12
% 19.95/5.08 | (738) ~ (all_0_111_111 = e13)
% 19.95/5.08 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 19.95/5.08 |
% 19.95/5.08 | Combining equations (736,713) yields a new equation:
% 19.95/5.08 | (1004) e12 = e10
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 1004 yields:
% 19.95/5.08 | (679) e12 = e10
% 19.95/5.08 |
% 19.95/5.08 | Equations (679) can reduce 147 to:
% 19.95/5.08 | (392) $false
% 19.95/5.08 |
% 19.95/5.08 |-The branch is then unsatisfiable
% 19.95/5.08 |-Branch two:
% 19.95/5.08 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 19.95/5.08 |
% 19.95/5.08 | Applying alpha-rule on (742) yields:
% 19.95/5.08 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 19.95/5.08 | (744) all_0_117_117 = e11
% 19.95/5.08 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 19.95/5.08 | (738) ~ (all_0_111_111 = e13)
% 19.95/5.08 | (747) all_0_113_113 = e11
% 19.95/5.08 |
% 19.95/5.08 | Equations (1176) can reduce 738 to:
% 19.95/5.08 | (392) $false
% 19.95/5.08 |
% 19.95/5.08 |-The branch is then unsatisfiable
% 19.95/5.08 |-Branch two:
% 19.95/5.08 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 19.95/5.08 |
% 19.95/5.08 | Applying alpha-rule on (751) yields:
% 19.95/5.08 | (752) all_0_114_114 = e13
% 19.95/5.08 | (753) all_0_120_120 = e13
% 19.95/5.08 | (754) ~ (all_0_123_123 = e10)
% 19.95/5.08 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 19.95/5.08 |
% 19.95/5.08 | Combining equations (752,1465) yields a new equation:
% 19.95/5.08 | (1969) e13 = e12
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 1969 yields:
% 19.95/5.08 | (957) e13 = e12
% 19.95/5.08 |
% 19.95/5.08 | Combining equations (759,753) yields a new equation:
% 19.95/5.08 | (950) e13 = e10
% 19.95/5.08 |
% 19.95/5.08 | Combining equations (957,950) yields a new equation:
% 19.95/5.08 | (1004) e12 = e10
% 19.95/5.08 |
% 19.95/5.08 | Simplifying 1004 yields:
% 19.95/5.08 | (679) e12 = e10
% 19.95/5.08 |
% 19.95/5.08 | Equations (679) can reduce 147 to:
% 19.95/5.08 | (392) $false
% 19.95/5.08 |
% 19.95/5.08 |-The branch is then unsatisfiable
% 19.95/5.08 |-Branch two:
% 19.95/5.08 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 19.95/5.08 |
% 19.95/5.08 | Applying alpha-rule on (757) yields:
% 19.95/5.08 | (718) all_0_114_114 = e10
% 19.95/5.08 | (759) all_0_120_120 = e10
% 19.95/5.08 | (738) ~ (all_0_111_111 = e13)
% 19.95/5.08 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 19.95/5.08 |
% 19.95/5.08 | Combining equations (718,1465) yields a new equation:
% 19.95/5.08 | (679) e12 = e10
% 19.95/5.08 |
% 19.95/5.08 | Equations (679) can reduce 147 to:
% 19.95/5.08 | (392) $false
% 19.95/5.08 |
% 19.95/5.08 |-The branch is then unsatisfiable
% 19.95/5.08 |-Branch two:
% 19.95/5.08 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 19.95/5.08 |
% 19.95/5.08 | Applying alpha-rule on (763) yields:
% 19.95/5.08 | (682) all_0_116_116 = e12
% 19.95/5.08 | (765) all_0_121_121 = e12
% 19.95/5.08 | (754) ~ (all_0_123_123 = e10)
% 19.95/5.09 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (722,682) yields a new equation:
% 19.95/5.09 | (679) e12 = e10
% 19.95/5.09 |
% 19.95/5.09 | Equations (679) can reduce 147 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (769) yields:
% 19.95/5.09 | (722) all_0_116_116 = e10
% 19.95/5.09 | (771) all_0_121_121 = e10
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (771,961) yields a new equation:
% 19.95/5.09 | (950) e13 = e10
% 19.95/5.09 |
% 19.95/5.09 | Equations (950) can reduce 189 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (774) yields:
% 19.95/5.09 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 19.95/5.09 | (754) ~ (all_0_123_123 = e10)
% 19.95/5.09 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 19.95/5.09 | (702) all_0_122_122 = e11
% 19.95/5.09 | (779) all_0_119_119 = e11
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (699,702) yields a new equation:
% 19.95/5.09 | (748) e12 = e11
% 19.95/5.09 |
% 19.95/5.09 | Simplifying 748 yields:
% 19.95/5.09 | (749) e12 = e11
% 19.95/5.09 |
% 19.95/5.09 | Equations (749) can reduce 299 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (982) ~ (all_0_117_117 = e11)
% 19.95/5.09 | (779) all_0_119_119 = e11
% 19.95/5.09 |
% 19.95/5.09 | Equations (779) can reduce 998 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (738) ~ (all_0_111_111 = e13)
% 19.95/5.09 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (9), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (1206) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13)
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (1206), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (1207) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (1207), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (1208) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (1208), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (1209) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11)
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (1209), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (1210) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10))
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (1210), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (1211) all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (1211) yields:
% 19.95/5.09 | (1176) all_0_111_111 = e13
% 19.95/5.09 | (1213) ~ (all_0_123_123 = e13) | all_0_120_120 = e10
% 19.95/5.09 |
% 19.95/5.09 | Equations (1176) can reduce 738 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (1215) all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (1215) yields:
% 19.95/5.09 | (1216) all_0_111_111 = e12
% 19.95/5.09 | (828) all_0_112_112 = e13
% 19.95/5.09 | (1218) ~ (all_0_123_123 = e12) | all_0_121_121 = e10
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (828,713) yields a new equation:
% 19.95/5.09 | (949) e13 = e10
% 19.95/5.09 |
% 19.95/5.09 | Simplifying 949 yields:
% 19.95/5.09 | (950) e13 = e10
% 19.95/5.09 |
% 19.95/5.09 | Equations (950) can reduce 189 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (1224) all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (1224) yields:
% 19.95/5.09 | (787) all_0_111_111 = e10
% 19.95/5.09 | (752) all_0_114_114 = e13
% 19.95/5.09 | (779) all_0_119_119 = e11
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (1465,752) yields a new equation:
% 19.95/5.09 | (957) e13 = e12
% 19.95/5.09 |
% 19.95/5.09 | Equations (957) can reduce 278 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (1231) all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (1231) yields:
% 19.95/5.09 | (779) all_0_119_119 = e11
% 19.95/5.09 | (726) all_0_123_123 = e10
% 19.95/5.09 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 19.95/5.09 |
% 19.95/5.09 | Equations (726) can reduce 754 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (1237) all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (1237) yields:
% 19.95/5.09 | (779) all_0_119_119 = e11
% 19.95/5.09 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 19.95/5.09 |
% 19.95/5.09 | Equations (779) can reduce 91 to:
% 19.95/5.09 | (982) ~ (all_0_117_117 = e11)
% 19.95/5.09 |
% 19.95/5.09 | Equations (779) can reduce 685 to:
% 19.95/5.09 | (706) ~ (e12 = e11)
% 19.95/5.09 |
% 19.95/5.09 | Simplifying 706 yields:
% 19.95/5.09 | (299) ~ (e12 = e11)
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (230), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (730), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (731), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (732), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (733), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 19.95/5.09 |
% 19.95/5.09 +-Applying beta-rule and splitting (734), into two cases.
% 19.95/5.09 |-Branch one:
% 19.95/5.09 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (735) yields:
% 19.95/5.09 | (736) all_0_112_112 = e12
% 19.95/5.09 | (678) all_0_115_115 = e12
% 19.95/5.09 | (738) ~ (all_0_111_111 = e13)
% 19.95/5.09 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (736,713) yields a new equation:
% 19.95/5.09 | (1004) e12 = e10
% 19.95/5.09 |
% 19.95/5.09 | Simplifying 1004 yields:
% 19.95/5.09 | (679) e12 = e10
% 19.95/5.09 |
% 19.95/5.09 | Equations (679) can reduce 147 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (742) yields:
% 19.95/5.09 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 19.95/5.09 | (744) all_0_117_117 = e11
% 19.95/5.09 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 19.95/5.09 | (738) ~ (all_0_111_111 = e13)
% 19.95/5.09 | (747) all_0_113_113 = e11
% 19.95/5.09 |
% 19.95/5.09 | Equations (744) can reduce 982 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (751) yields:
% 19.95/5.09 | (752) all_0_114_114 = e13
% 19.95/5.09 | (753) all_0_120_120 = e13
% 19.95/5.09 | (754) ~ (all_0_123_123 = e10)
% 19.95/5.09 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (1465,752) yields a new equation:
% 19.95/5.09 | (957) e13 = e12
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (759,753) yields a new equation:
% 19.95/5.09 | (950) e13 = e10
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (957,950) yields a new equation:
% 19.95/5.09 | (1004) e12 = e10
% 19.95/5.09 |
% 19.95/5.09 | Simplifying 1004 yields:
% 19.95/5.09 | (679) e12 = e10
% 19.95/5.09 |
% 19.95/5.09 | Equations (679) can reduce 147 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (757) yields:
% 19.95/5.09 | (718) all_0_114_114 = e10
% 19.95/5.09 | (759) all_0_120_120 = e10
% 19.95/5.09 | (738) ~ (all_0_111_111 = e13)
% 19.95/5.09 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (1465,718) yields a new equation:
% 19.95/5.09 | (1004) e12 = e10
% 19.95/5.09 |
% 19.95/5.09 | Simplifying 1004 yields:
% 19.95/5.09 | (679) e12 = e10
% 19.95/5.09 |
% 19.95/5.09 | Equations (679) can reduce 147 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.09 |-The branch is then unsatisfiable
% 19.95/5.09 |-Branch two:
% 19.95/5.09 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 19.95/5.09 |
% 19.95/5.09 | Applying alpha-rule on (763) yields:
% 19.95/5.09 | (682) all_0_116_116 = e12
% 19.95/5.09 | (765) all_0_121_121 = e12
% 19.95/5.09 | (754) ~ (all_0_123_123 = e10)
% 19.95/5.09 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 19.95/5.09 |
% 19.95/5.09 | Combining equations (682,722) yields a new equation:
% 19.95/5.09 | (1004) e12 = e10
% 19.95/5.09 |
% 19.95/5.09 | Simplifying 1004 yields:
% 19.95/5.09 | (679) e12 = e10
% 19.95/5.09 |
% 19.95/5.09 | Equations (679) can reduce 147 to:
% 19.95/5.09 | (392) $false
% 19.95/5.09 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 19.95/5.10 |
% 19.95/5.10 | Applying alpha-rule on (769) yields:
% 19.95/5.10 | (722) all_0_116_116 = e10
% 19.95/5.10 | (771) all_0_121_121 = e10
% 19.95/5.10 |
% 19.95/5.10 | Combining equations (771,961) yields a new equation:
% 19.95/5.10 | (950) e13 = e10
% 19.95/5.10 |
% 19.95/5.10 | Equations (950) can reduce 189 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 19.95/5.10 |
% 19.95/5.10 | Applying alpha-rule on (774) yields:
% 19.95/5.10 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 19.95/5.10 | (754) ~ (all_0_123_123 = e10)
% 19.95/5.10 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 19.95/5.10 | (702) all_0_122_122 = e11
% 19.95/5.10 | (779) all_0_119_119 = e11
% 19.95/5.10 |
% 19.95/5.10 | Combining equations (699,702) yields a new equation:
% 19.95/5.10 | (748) e12 = e11
% 19.95/5.10 |
% 19.95/5.10 | Simplifying 748 yields:
% 19.95/5.10 | (749) e12 = e11
% 19.95/5.10 |
% 19.95/5.10 | Equations (749) can reduce 299 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (1241) all_0_120_120 = e10 & all_0_123_123 = e13
% 19.95/5.10 |
% 19.95/5.10 | Applying alpha-rule on (1241) yields:
% 19.95/5.10 | (759) all_0_120_120 = e10
% 19.95/5.10 | (832) all_0_123_123 = e13
% 19.95/5.10 |
% 19.95/5.10 | Equations (832) can reduce 946 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (1247) all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13)
% 19.95/5.10 |
% 19.95/5.10 | Applying alpha-rule on (1247) yields:
% 19.95/5.10 | (771) all_0_121_121 = e10
% 19.95/5.10 | (1013) all_0_123_123 = e12
% 19.95/5.10 | (1250) ~ (all_0_111_111 = e12) | all_0_112_112 = e13
% 19.95/5.10 |
% 19.95/5.10 | Combining equations (771,961) yields a new equation:
% 19.95/5.10 | (950) e13 = e10
% 19.95/5.10 |
% 19.95/5.10 | Equations (950) can reduce 189 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (674) ~ (all_0_120_120 = e10)
% 19.95/5.10 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 19.95/5.10 |
% 19.95/5.10 +-Applying beta-rule and splitting (110), into two cases.
% 19.95/5.10 |-Branch one:
% 19.95/5.10 | (1176) all_0_111_111 = e13
% 19.95/5.10 |
% 19.95/5.10 | Equations (1176) can reduce 167 to:
% 19.95/5.10 | (3065) ~ (all_0_117_117 = e13)
% 19.95/5.10 |
% 19.95/5.10 | Simplifying 3065 yields:
% 19.95/5.10 | (978) ~ (all_0_117_117 = e13)
% 19.95/5.10 |
% 19.95/5.10 | Equations (1176) can reduce 1219 to:
% 19.95/5.10 | (278) ~ (e13 = e12)
% 19.95/5.10 |
% 19.95/5.10 +-Applying beta-rule and splitting (43), into two cases.
% 19.95/5.10 |-Branch one:
% 19.95/5.10 | (832) all_0_123_123 = e13
% 19.95/5.10 |
% 19.95/5.10 | Equations (832) can reduce 946 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (946) ~ (all_0_123_123 = e13)
% 19.95/5.10 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 19.95/5.10 |
% 19.95/5.10 +-Applying beta-rule and splitting (947), into two cases.
% 19.95/5.10 |-Branch one:
% 19.95/5.10 | (1013) all_0_123_123 = e12
% 19.95/5.10 |
% 19.95/5.10 | Equations (1013) can reduce 687 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (687) ~ (all_0_123_123 = e12)
% 19.95/5.10 | (1789) all_0_123_123 = e11 | all_0_123_123 = e10
% 19.95/5.10 |
% 19.95/5.10 +-Applying beta-rule and splitting (1789), into two cases.
% 19.95/5.10 |-Branch one:
% 19.95/5.10 | (726) all_0_123_123 = e10
% 19.95/5.10 |
% 19.95/5.10 | Equations (726) can reduce 754 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (754) ~ (all_0_123_123 = e10)
% 19.95/5.10 | (999) all_0_123_123 = e11
% 19.95/5.10 |
% 19.95/5.10 | Equations (999) can reduce 150 to:
% 19.95/5.10 | (998) ~ (all_0_119_119 = e11)
% 19.95/5.10 |
% 19.95/5.10 +-Applying beta-rule and splitting (173), into two cases.
% 19.95/5.10 |-Branch one:
% 19.95/5.10 | (744) all_0_117_117 = e11
% 19.95/5.10 |
% 19.95/5.10 | Equations (744) can reduce 978 to:
% 19.95/5.10 | (1025) ~ (e13 = e11)
% 19.95/5.10 |
% 19.95/5.10 | Simplifying 1025 yields:
% 19.95/5.10 | (341) ~ (e13 = e11)
% 19.95/5.10 |
% 19.95/5.10 | Equations (744) can reduce 219 to:
% 19.95/5.10 | (284) ~ (e11 = e10)
% 19.95/5.10 |
% 19.95/5.10 +-Applying beta-rule and splitting (224), into two cases.
% 19.95/5.10 |-Branch one:
% 19.95/5.10 | (817) all_0_117_117 = e13
% 19.95/5.10 |
% 19.95/5.10 | Combining equations (744,817) yields a new equation:
% 19.95/5.10 | (1245) e13 = e11
% 19.95/5.10 |
% 19.95/5.10 | Equations (1245) can reduce 341 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (978) ~ (all_0_117_117 = e13)
% 19.95/5.10 | (3089) all_0_118_118 = e13 | all_0_119_119 = e13
% 19.95/5.10 |
% 19.95/5.10 +-Applying beta-rule and splitting (193), into two cases.
% 19.95/5.10 |-Branch one:
% 19.95/5.10 | (1552) all_0_119_119 = e13
% 19.95/5.10 |
% 19.95/5.10 | Equations (1552) can reduce 159 to:
% 19.95/5.10 | (189) ~ (e13 = e10)
% 19.95/5.10 |
% 19.95/5.10 +-Applying beta-rule and splitting (1039), into two cases.
% 19.95/5.10 |-Branch one:
% 19.95/5.10 | (771) all_0_121_121 = e10
% 19.95/5.10 |
% 19.95/5.10 | Combining equations (771,961) yields a new equation:
% 19.95/5.10 | (950) e13 = e10
% 19.95/5.10 |
% 19.95/5.10 | Equations (950) can reduce 189 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (1035) ~ (all_0_121_121 = e10)
% 19.95/5.10 | (726) all_0_123_123 = e10
% 19.95/5.10 |
% 19.95/5.10 | Combining equations (999,726) yields a new equation:
% 19.95/5.10 | (1095) e11 = e10
% 19.95/5.10 |
% 19.95/5.10 | Simplifying 1095 yields:
% 19.95/5.10 | (803) e11 = e10
% 19.95/5.10 |
% 19.95/5.10 | Equations (803) can reduce 284 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (1556) ~ (all_0_119_119 = e13)
% 19.95/5.10 | (1849) all_0_119_119 = e12 | all_0_119_119 = e11
% 19.95/5.10 |
% 19.95/5.10 +-Applying beta-rule and splitting (3089), into two cases.
% 19.95/5.10 |-Branch one:
% 19.95/5.10 | (821) all_0_118_118 = e13
% 19.95/5.10 |
% 19.95/5.10 | Combining equations (824,821) yields a new equation:
% 19.95/5.10 | (957) e13 = e12
% 19.95/5.10 |
% 19.95/5.10 | Equations (957) can reduce 278 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (819) ~ (all_0_118_118 = e13)
% 19.95/5.10 | (1552) all_0_119_119 = e13
% 19.95/5.10 |
% 19.95/5.10 | Equations (1552) can reduce 1556 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (982) ~ (all_0_117_117 = e11)
% 19.95/5.10 | (779) all_0_119_119 = e11
% 19.95/5.10 |
% 19.95/5.10 | Equations (779) can reduce 998 to:
% 19.95/5.10 | (392) $false
% 19.95/5.10 |
% 19.95/5.10 |-The branch is then unsatisfiable
% 19.95/5.10 |-Branch two:
% 19.95/5.10 | (738) ~ (all_0_111_111 = e13)
% 20.10/5.10 | (3112) all_0_111_111 = e12 | all_0_111_111 = e11 | all_0_111_111 = e10
% 20.10/5.10 |
% 20.10/5.10 +-Applying beta-rule and splitting (6), into two cases.
% 20.10/5.10 |-Branch one:
% 20.10/5.10 | (1176) all_0_111_111 = e13
% 20.10/5.10 |
% 20.10/5.10 | Equations (1176) can reduce 738 to:
% 20.10/5.10 | (392) $false
% 20.10/5.10 |
% 20.10/5.10 |-The branch is then unsatisfiable
% 20.10/5.10 |-Branch two:
% 20.10/5.10 | (738) ~ (all_0_111_111 = e13)
% 20.10/5.10 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 20.10/5.10 |
% 20.10/5.10 +-Applying beta-rule and splitting (132), into two cases.
% 20.10/5.10 |-Branch one:
% 20.10/5.10 | (1176) all_0_111_111 = e13
% 20.10/5.10 |
% 20.10/5.10 | Equations (1176) can reduce 738 to:
% 20.10/5.10 | (392) $false
% 20.10/5.10 |
% 20.10/5.10 |-The branch is then unsatisfiable
% 20.10/5.10 |-Branch two:
% 20.10/5.10 | (738) ~ (all_0_111_111 = e13)
% 20.10/5.10 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 20.10/5.10 |
% 20.10/5.10 +-Applying beta-rule and splitting (1179), into two cases.
% 20.10/5.10 |-Branch one:
% 20.10/5.10 | (828) all_0_112_112 = e13
% 20.10/5.10 |
% 20.10/5.10 | Combining equations (828,713) yields a new equation:
% 20.10/5.10 | (949) e13 = e10
% 20.10/5.10 |
% 20.10/5.10 | Simplifying 949 yields:
% 20.10/5.10 | (950) e13 = e10
% 20.10/5.10 |
% 20.10/5.10 | Equations (950) can reduce 189 to:
% 20.10/5.10 | (392) $false
% 20.10/5.10 |
% 20.10/5.10 |-The branch is then unsatisfiable
% 20.10/5.10 |-Branch two:
% 20.10/5.10 | (967) ~ (all_0_112_112 = e13)
% 20.10/5.10 | (752) all_0_114_114 = e13
% 20.10/5.10 |
% 20.10/5.10 | Combining equations (1465,752) yields a new equation:
% 20.10/5.10 | (957) e13 = e12
% 20.10/5.10 |
% 20.10/5.10 | Equations (957) can reduce 278 to:
% 20.10/5.10 | (392) $false
% 20.10/5.10 |
% 20.10/5.10 |-The branch is then unsatisfiable
% 20.10/5.10 |-Branch two:
% 20.10/5.10 | (781) ~ (all_0_112_112 = e10)
% 20.10/5.10 | (771) all_0_121_121 = e10
% 20.10/5.10 |
% 20.10/5.10 | Equations (771) can reduce 208 to:
% 20.10/5.10 | (781) ~ (all_0_112_112 = e10)
% 20.10/5.10 |
% 20.10/5.10 | Equations (771) can reduce 292 to:
% 20.10/5.10 | (1146) ~ (all_0_123_123 = e10)
% 20.10/5.10 |
% 20.10/5.10 | Simplifying 1146 yields:
% 20.10/5.10 | (754) ~ (all_0_123_123 = e10)
% 20.10/5.10 |
% 20.10/5.10 | Equations (771) can reduce 1007 to:
% 20.10/5.10 | (716) ~ (e12 = e10)
% 20.10/5.10 |
% 20.10/5.10 | Simplifying 716 yields:
% 20.10/5.10 | (147) ~ (e12 = e10)
% 20.10/5.10 |
% 20.10/5.10 +-Applying beta-rule and splitting (50), into two cases.
% 20.10/5.10 |-Branch one:
% 20.10/5.10 | (787) all_0_111_111 = e10
% 20.10/5.10 |
% 20.10/5.10 | Equations (787) can reduce 24 to:
% 20.10/5.10 | (2019) ~ (all_0_112_112 = e10)
% 20.10/5.10 |
% 20.10/5.10 | Simplifying 2019 yields:
% 20.10/5.10 | (781) ~ (all_0_112_112 = e10)
% 20.10/5.10 |
% 20.10/5.10 | Equations (787) can reduce 270 to:
% 20.10/5.10 | (673) ~ (all_0_120_120 = e10)
% 20.10/5.10 |
% 20.10/5.10 | Simplifying 673 yields:
% 20.10/5.10 | (674) ~ (all_0_120_120 = e10)
% 20.10/5.10 |
% 20.10/5.10 | Equations (787) can reduce 1219 to:
% 20.10/5.10 | (716) ~ (e12 = e10)
% 20.10/5.10 |
% 20.10/5.10 | Simplifying 716 yields:
% 20.10/5.10 | (147) ~ (e12 = e10)
% 20.10/5.10 |
% 20.10/5.10 +-Applying beta-rule and splitting (354), into two cases.
% 20.10/5.10 |-Branch one:
% 20.10/5.10 | (828) all_0_112_112 = e13
% 20.10/5.10 |
% 20.10/5.10 | Equations (828) can reduce 694 to:
% 20.10/5.10 | (278) ~ (e13 = e12)
% 20.10/5.10 |
% 20.10/5.10 | Equations (828) can reduce 28 to:
% 20.10/5.10 | (341) ~ (e13 = e11)
% 20.10/5.10 |
% 20.10/5.10 | Equations (828) can reduce 781 to:
% 20.10/5.10 | (189) ~ (e13 = e10)
% 20.10/5.10 |
% 20.10/5.10 +-Applying beta-rule and splitting (9), into two cases.
% 20.10/5.10 |-Branch one:
% 20.10/5.10 | (1206) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13)
% 20.10/5.10 |
% 20.10/5.10 +-Applying beta-rule and splitting (1206), into two cases.
% 20.10/5.10 |-Branch one:
% 20.10/5.10 | (1207) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 20.10/5.10 |
% 20.10/5.10 +-Applying beta-rule and splitting (1207), into two cases.
% 20.10/5.10 |-Branch one:
% 20.10/5.10 | (1208) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (1208), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (1209) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11)
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (1209), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (1210) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10))
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (1210), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (1211) all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)
% 20.10/5.11 |
% 20.10/5.11 | Applying alpha-rule on (1211) yields:
% 20.10/5.11 | (1176) all_0_111_111 = e13
% 20.10/5.11 | (1213) ~ (all_0_123_123 = e13) | all_0_120_120 = e10
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (1176,787) yields a new equation:
% 20.10/5.11 | (949) e13 = e10
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 949 yields:
% 20.10/5.11 | (950) e13 = e10
% 20.10/5.11 |
% 20.10/5.11 | Equations (950) can reduce 189 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (1215) all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)
% 20.10/5.11 |
% 20.10/5.11 | Applying alpha-rule on (1215) yields:
% 20.10/5.11 | (1216) all_0_111_111 = e12
% 20.10/5.11 | (828) all_0_112_112 = e13
% 20.10/5.11 | (1218) ~ (all_0_123_123 = e12) | all_0_121_121 = e10
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (1216,787) yields a new equation:
% 20.10/5.11 | (1004) e12 = e10
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 1004 yields:
% 20.10/5.11 | (679) e12 = e10
% 20.10/5.11 |
% 20.10/5.11 | Equations (679) can reduce 147 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (1224) all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11
% 20.10/5.11 |
% 20.10/5.11 | Applying alpha-rule on (1224) yields:
% 20.10/5.11 | (787) all_0_111_111 = e10
% 20.10/5.11 | (752) all_0_114_114 = e13
% 20.10/5.11 | (779) all_0_119_119 = e11
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (752,1465) yields a new equation:
% 20.10/5.11 | (1969) e13 = e12
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 1969 yields:
% 20.10/5.11 | (957) e13 = e12
% 20.10/5.11 |
% 20.10/5.11 | Equations (957) can reduce 278 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (1231) all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 20.10/5.11 |
% 20.10/5.11 | Applying alpha-rule on (1231) yields:
% 20.10/5.11 | (779) all_0_119_119 = e11
% 20.10/5.11 | (726) all_0_123_123 = e10
% 20.10/5.11 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (726) can reduce 754 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (1237) all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 20.10/5.11 |
% 20.10/5.11 | Applying alpha-rule on (1237) yields:
% 20.10/5.11 | (779) all_0_119_119 = e11
% 20.10/5.11 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (123), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (817) all_0_117_117 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (817) can reduce 792 to:
% 20.10/5.11 | (278) ~ (e13 = e12)
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (264), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (752) all_0_114_114 = e13
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (752,1465) yields a new equation:
% 20.10/5.11 | (1969) e13 = e12
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 1969 yields:
% 20.10/5.11 | (957) e13 = e12
% 20.10/5.11 |
% 20.10/5.11 | Equations (957) can reduce 278 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (952) ~ (all_0_114_114 = e13)
% 20.10/5.11 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (1465) can reduce 952 to:
% 20.10/5.11 | (1052) ~ (e13 = e12)
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 1052 yields:
% 20.10/5.11 | (278) ~ (e13 = e12)
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (1234), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (670) ~ (all_0_111_111 = e10)
% 20.10/5.11 |
% 20.10/5.11 | Equations (787) can reduce 670 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (787) all_0_111_111 = e10
% 20.10/5.11 | (752) all_0_114_114 = e13
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (752,1465) yields a new equation:
% 20.10/5.11 | (1969) e13 = e12
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 1969 yields:
% 20.10/5.11 | (957) e13 = e12
% 20.10/5.11 |
% 20.10/5.11 | Equations (957) can reduce 278 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (978) ~ (all_0_117_117 = e13)
% 20.10/5.11 | (979) all_0_117_117 = e12 | all_0_117_117 = e11
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (264), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (752) all_0_114_114 = e13
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (752,1465) yields a new equation:
% 20.10/5.11 | (1969) e13 = e12
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 1969 yields:
% 20.10/5.11 | (957) e13 = e12
% 20.10/5.11 |
% 20.10/5.11 | Equations (957) can reduce 278 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (952) ~ (all_0_114_114 = e13)
% 20.10/5.11 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (6), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (1176) all_0_111_111 = e13
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (1176,787) yields a new equation:
% 20.10/5.11 | (949) e13 = e10
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 949 yields:
% 20.10/5.11 | (950) e13 = e10
% 20.10/5.11 |
% 20.10/5.11 | Equations (950) can reduce 189 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (738) ~ (all_0_111_111 = e13)
% 20.10/5.11 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (224), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (817) all_0_117_117 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (817) can reduce 978 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (978) ~ (all_0_117_117 = e13)
% 20.10/5.11 | (3089) all_0_118_118 = e13 | all_0_119_119 = e13
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (43), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (832) all_0_123_123 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (832) can reduce 35 to:
% 20.10/5.11 | (959) ~ (all_0_120_120 = e13)
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (1205), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (817) all_0_117_117 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (817) can reduce 978 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (978) ~ (all_0_117_117 = e13)
% 20.10/5.11 | (753) all_0_120_120 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (753) can reduce 959 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (946) ~ (all_0_123_123 = e13)
% 20.10/5.11 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (953), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (1552) all_0_119_119 = e13
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (1552,779) yields a new equation:
% 20.10/5.11 | (1244) e13 = e11
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 1244 yields:
% 20.10/5.11 | (1245) e13 = e11
% 20.10/5.11 |
% 20.10/5.11 | Equations (1245) can reduce 341 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (1556) ~ (all_0_119_119 = e13)
% 20.10/5.11 | (832) all_0_123_123 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (832) can reduce 946 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (1241) all_0_120_120 = e10 & all_0_123_123 = e13
% 20.10/5.11 |
% 20.10/5.11 | Applying alpha-rule on (1241) yields:
% 20.10/5.11 | (759) all_0_120_120 = e10
% 20.10/5.11 | (832) all_0_123_123 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (759) can reduce 674 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (1247) all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13)
% 20.10/5.11 |
% 20.10/5.11 | Applying alpha-rule on (1247) yields:
% 20.10/5.11 | (771) all_0_121_121 = e10
% 20.10/5.11 | (1013) all_0_123_123 = e12
% 20.10/5.11 | (1250) ~ (all_0_111_111 = e12) | all_0_112_112 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (1013) can reduce 687 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (967) ~ (all_0_112_112 = e13)
% 20.10/5.11 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (132), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (1176) all_0_111_111 = e13
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (1176,787) yields a new equation:
% 20.10/5.11 | (949) e13 = e10
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 949 yields:
% 20.10/5.11 | (950) e13 = e10
% 20.10/5.11 |
% 20.10/5.11 | Equations (950) can reduce 189 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (738) ~ (all_0_111_111 = e13)
% 20.10/5.11 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (1179), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (828) all_0_112_112 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (828) can reduce 967 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (967) ~ (all_0_112_112 = e13)
% 20.10/5.11 | (752) all_0_114_114 = e13
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (1465,752) yields a new equation:
% 20.10/5.11 | (957) e13 = e12
% 20.10/5.11 |
% 20.10/5.11 | Equations (957) can reduce 278 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (670) ~ (all_0_111_111 = e10)
% 20.10/5.11 | (790) all_0_112_112 = e10 | all_0_114_114 = e10
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (790), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (713) all_0_112_112 = e10
% 20.10/5.11 |
% 20.10/5.11 | Equations (713) can reduce 781 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (781) ~ (all_0_112_112 = e10)
% 20.10/5.11 | (718) all_0_114_114 = e10
% 20.10/5.11 |
% 20.10/5.11 | Combining equations (718,1465) yields a new equation:
% 20.10/5.11 | (679) e12 = e10
% 20.10/5.11 |
% 20.10/5.11 | Equations (679) can reduce 147 to:
% 20.10/5.11 | (392) $false
% 20.10/5.11 |
% 20.10/5.11 |-The branch is then unsatisfiable
% 20.10/5.11 |-Branch two:
% 20.10/5.11 | (683) ~ (all_0_114_114 = e12)
% 20.10/5.11 | (1469) all_0_116_116 = e12 | all_0_119_119 = e12 | all_0_123_123 = e12
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (266), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (752) all_0_114_114 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (752) can reduce 359 to:
% 20.10/5.11 | (3265) ~ (all_0_119_119 = e13)
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 3265 yields:
% 20.10/5.11 | (1556) ~ (all_0_119_119 = e13)
% 20.10/5.11 |
% 20.10/5.11 | Equations (752) can reduce 267 to:
% 20.10/5.11 | (1439) ~ (all_0_123_123 = e13)
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 1439 yields:
% 20.10/5.11 | (946) ~ (all_0_123_123 = e13)
% 20.10/5.11 |
% 20.10/5.11 | Equations (752) can reduce 683 to:
% 20.10/5.11 | (278) ~ (e13 = e12)
% 20.10/5.11 |
% 20.10/5.11 | Equations (752) can reduce 805 to:
% 20.10/5.11 | (341) ~ (e13 = e11)
% 20.10/5.11 |
% 20.10/5.11 +-Applying beta-rule and splitting (224), into two cases.
% 20.10/5.11 |-Branch one:
% 20.10/5.11 | (817) all_0_117_117 = e13
% 20.10/5.11 |
% 20.10/5.11 | Equations (817) can reduce 91 to:
% 20.10/5.11 | (3265) ~ (all_0_119_119 = e13)
% 20.10/5.11 |
% 20.10/5.11 | Simplifying 3265 yields:
% 20.10/5.11 | (1556) ~ (all_0_119_119 = e13)
% 20.10/5.12 |
% 20.10/5.12 | Equations (817) can reduce 303 to:
% 20.10/5.12 | (3274) ~ (all_0_120_120 = e13)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 3274 yields:
% 20.10/5.12 | (959) ~ (all_0_120_120 = e13)
% 20.10/5.12 |
% 20.10/5.12 | Equations (817) can reduce 219 to:
% 20.10/5.12 | (189) ~ (e13 = e10)
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (155), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (834) all_0_111_111 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (834) can reduce 936 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (936) ~ (all_0_111_111 = e11)
% 20.10/5.12 | (1577) all_0_117_117 = e11 | all_0_120_120 = e11
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (1577), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (744) all_0_117_117 = e11
% 20.10/5.12 |
% 20.10/5.12 | Combining equations (744,817) yields a new equation:
% 20.10/5.12 | (1245) e13 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (1245) can reduce 341 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (982) ~ (all_0_117_117 = e11)
% 20.10/5.12 | (1079) all_0_120_120 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (1079) can reduce 959 to:
% 20.10/5.12 | (1025) ~ (e13 = e11)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 1025 yields:
% 20.10/5.12 | (341) ~ (e13 = e11)
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (173), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (744) all_0_117_117 = e11
% 20.10/5.12 |
% 20.10/5.12 | Combining equations (817,744) yields a new equation:
% 20.10/5.12 | (1244) e13 = e11
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 1244 yields:
% 20.10/5.12 | (1245) e13 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (1245) can reduce 341 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (982) ~ (all_0_117_117 = e11)
% 20.10/5.12 | (779) all_0_119_119 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (779) can reduce 1556 to:
% 20.10/5.12 | (1025) ~ (e13 = e11)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 1025 yields:
% 20.10/5.12 | (341) ~ (e13 = e11)
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (357), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (753) all_0_120_120 = e13
% 20.10/5.12 |
% 20.10/5.12 | Combining equations (1079,753) yields a new equation:
% 20.10/5.12 | (1245) e13 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (1245) can reduce 341 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (959) ~ (all_0_120_120 = e13)
% 20.10/5.12 | (960) all_0_121_121 = e13 | all_0_123_123 = e13
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (960), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (961) all_0_121_121 = e13
% 20.10/5.12 |
% 20.10/5.12 | Equations (961) can reduce 208 to:
% 20.10/5.12 | (967) ~ (all_0_112_112 = e13)
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (124), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (713) all_0_112_112 = e10
% 20.10/5.12 |
% 20.10/5.12 | Equations (713) can reduce 967 to:
% 20.10/5.12 | (675) ~ (e13 = e10)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 675 yields:
% 20.10/5.12 | (189) ~ (e13 = e10)
% 20.10/5.12 |
% 20.10/5.12 | Equations (713) can reduce 28 to:
% 20.10/5.12 | (784) ~ (e11 = e10)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 784 yields:
% 20.10/5.12 | (284) ~ (e11 = e10)
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (96), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (759) all_0_120_120 = e10
% 20.10/5.12 |
% 20.10/5.12 | Combining equations (759,1079) yields a new equation:
% 20.10/5.12 | (803) e11 = e10
% 20.10/5.12 |
% 20.10/5.12 | Equations (803) can reduce 284 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (674) ~ (all_0_120_120 = e10)
% 20.10/5.12 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (1039), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (771) all_0_121_121 = e10
% 20.10/5.12 |
% 20.10/5.12 | Combining equations (771,961) yields a new equation:
% 20.10/5.12 | (950) e13 = e10
% 20.10/5.12 |
% 20.10/5.12 | Equations (950) can reduce 189 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (1035) ~ (all_0_121_121 = e10)
% 20.10/5.12 | (726) all_0_123_123 = e10
% 20.10/5.12 |
% 20.10/5.12 | Equations (726) can reduce 754 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (781) ~ (all_0_112_112 = e10)
% 20.10/5.12 | (771) all_0_121_121 = e10
% 20.10/5.12 |
% 20.10/5.12 | Combining equations (961,771) yields a new equation:
% 20.10/5.12 | (949) e13 = e10
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 949 yields:
% 20.10/5.12 | (950) e13 = e10
% 20.10/5.12 |
% 20.10/5.12 | Equations (950) can reduce 189 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (964) ~ (all_0_121_121 = e13)
% 20.10/5.12 | (832) all_0_123_123 = e13
% 20.10/5.12 |
% 20.10/5.12 | Equations (832) can reduce 946 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (978) ~ (all_0_117_117 = e13)
% 20.10/5.12 | (3089) all_0_118_118 = e13 | all_0_119_119 = e13
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (3089), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (821) all_0_118_118 = e13
% 20.10/5.12 |
% 20.10/5.12 | Combining equations (824,821) yields a new equation:
% 20.10/5.12 | (957) e13 = e12
% 20.10/5.12 |
% 20.10/5.12 | Equations (957) can reduce 278 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (819) ~ (all_0_118_118 = e13)
% 20.10/5.12 | (1552) all_0_119_119 = e13
% 20.10/5.12 |
% 20.10/5.12 | Equations (1552) can reduce 1556 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (952) ~ (all_0_114_114 = e13)
% 20.10/5.12 | (3336) all_0_114_114 = e12 | all_0_114_114 = e11 | all_0_114_114 = e10
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (3336), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (1465) all_0_114_114 = e12
% 20.10/5.12 |
% 20.10/5.12 | Equations (1465) can reduce 683 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (683) ~ (all_0_114_114 = e12)
% 20.10/5.12 | (3340) all_0_114_114 = e11 | all_0_114_114 = e10
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (218), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (1216) all_0_111_111 = e12
% 20.10/5.12 |
% 20.10/5.12 | Equations (1216) can reduce 1219 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (1219) ~ (all_0_111_111 = e12)
% 20.10/5.12 | (1906) all_0_112_112 = e12 | all_0_113_113 = e12 | all_0_114_114 = e12
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (1906), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (736) all_0_112_112 = e12
% 20.10/5.12 |
% 20.10/5.12 | Equations (736) can reduce 694 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (694) ~ (all_0_112_112 = e12)
% 20.10/5.12 | (1912) all_0_113_113 = e12 | all_0_114_114 = e12
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (1912), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (693) all_0_113_113 = e12
% 20.10/5.12 |
% 20.10/5.12 | Combining equations (693,747) yields a new equation:
% 20.10/5.12 | (748) e12 = e11
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 748 yields:
% 20.10/5.12 | (749) e12 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (749) can reduce 299 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (1015) ~ (all_0_113_113 = e12)
% 20.10/5.12 | (1465) all_0_114_114 = e12
% 20.10/5.12 |
% 20.10/5.12 | Equations (1465) can reduce 683 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (681) ~ (all_0_115_115 = e12)
% 20.10/5.12 | (682) all_0_116_116 = e12
% 20.10/5.12 |
% 20.10/5.12 | Equations (682) can reduce 195 to:
% 20.10/5.12 | (683) ~ (all_0_114_114 = e12)
% 20.10/5.12 |
% 20.10/5.12 | Equations (682) can reduce 349 to:
% 20.10/5.12 | (681) ~ (all_0_115_115 = e12)
% 20.10/5.12 |
% 20.10/5.12 | Equations (682) can reduce 78 to:
% 20.10/5.12 | (684) ~ (all_0_119_119 = e12)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 684 yields:
% 20.10/5.12 | (685) ~ (all_0_119_119 = e12)
% 20.10/5.12 |
% 20.10/5.12 | Equations (682) can reduce 126 to:
% 20.10/5.12 | (686) ~ (all_0_123_123 = e12)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 686 yields:
% 20.10/5.12 | (687) ~ (all_0_123_123 = e12)
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (326), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (678) all_0_115_115 = e12
% 20.10/5.12 |
% 20.10/5.12 | Equations (678) can reduce 681 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (681) ~ (all_0_115_115 = e12)
% 20.10/5.12 | (669) all_0_115_115 = e10
% 20.10/5.12 |
% 20.10/5.12 | Equations (669) can reduce 152 to:
% 20.10/5.12 | (671) ~ (all_0_117_117 = e10)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 671 yields:
% 20.10/5.12 | (219) ~ (all_0_117_117 = e10)
% 20.10/5.12 |
% 20.10/5.12 | Equations (669) can reduce 256 to:
% 20.10/5.12 | (673) ~ (all_0_120_120 = e10)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 673 yields:
% 20.10/5.12 | (674) ~ (all_0_120_120 = e10)
% 20.10/5.12 |
% 20.10/5.12 | Equations (669) can reduce 121 to:
% 20.10/5.12 | (675) ~ (e13 = e10)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 675 yields:
% 20.10/5.12 | (189) ~ (e13 = e10)
% 20.10/5.12 |
% 20.10/5.12 | Equations (669) can reduce 681 to:
% 20.10/5.12 | (716) ~ (e12 = e10)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 716 yields:
% 20.10/5.12 | (147) ~ (e12 = e10)
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (321), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (821) all_0_118_118 = e13
% 20.10/5.12 |
% 20.10/5.12 | Equations (821) can reduce 244 to:
% 20.10/5.12 | (978) ~ (all_0_117_117 = e13)
% 20.10/5.12 |
% 20.10/5.12 | Equations (821) can reduce 212 to:
% 20.10/5.12 | (3265) ~ (all_0_119_119 = e13)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 3265 yields:
% 20.10/5.12 | (1556) ~ (all_0_119_119 = e13)
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (193), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (1552) all_0_119_119 = e13
% 20.10/5.12 |
% 20.10/5.12 | Equations (1552) can reduce 1556 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (1556) ~ (all_0_119_119 = e13)
% 20.10/5.12 | (1849) all_0_119_119 = e12 | all_0_119_119 = e11
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (1849), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (1476) all_0_119_119 = e12
% 20.10/5.12 |
% 20.10/5.12 | Equations (1476) can reduce 685 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (685) ~ (all_0_119_119 = e12)
% 20.10/5.12 | (779) all_0_119_119 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (779) can reduce 91 to:
% 20.10/5.12 | (982) ~ (all_0_117_117 = e11)
% 20.10/5.12 |
% 20.10/5.12 | Equations (779) can reduce 1556 to:
% 20.10/5.12 | (1025) ~ (e13 = e11)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 1025 yields:
% 20.10/5.12 | (341) ~ (e13 = e11)
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (155), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (834) all_0_111_111 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (834) can reduce 936 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (936) ~ (all_0_111_111 = e11)
% 20.10/5.12 | (1577) all_0_117_117 = e11 | all_0_120_120 = e11
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (1577), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (744) all_0_117_117 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (744) can reduce 982 to:
% 20.10/5.12 | (392) $false
% 20.10/5.12 |
% 20.10/5.12 |-The branch is then unsatisfiable
% 20.10/5.12 |-Branch two:
% 20.10/5.12 | (982) ~ (all_0_117_117 = e11)
% 20.10/5.12 | (1079) all_0_120_120 = e11
% 20.10/5.12 |
% 20.10/5.12 | Equations (1079) can reduce 303 to:
% 20.10/5.12 | (982) ~ (all_0_117_117 = e11)
% 20.10/5.12 |
% 20.10/5.12 | Equations (1079) can reduce 1001 to:
% 20.10/5.12 | (706) ~ (e12 = e11)
% 20.10/5.12 |
% 20.10/5.12 | Simplifying 706 yields:
% 20.10/5.12 | (299) ~ (e12 = e11)
% 20.10/5.12 |
% 20.10/5.12 | Equations (1079) can reduce 674 to:
% 20.10/5.12 | (284) ~ (e11 = e10)
% 20.10/5.12 |
% 20.10/5.12 +-Applying beta-rule and splitting (218), into two cases.
% 20.10/5.12 |-Branch one:
% 20.10/5.12 | (1216) all_0_111_111 = e12
% 20.10/5.12 |
% 20.10/5.13 | Equations (1216) can reduce 167 to:
% 20.10/5.13 | (1311) ~ (all_0_117_117 = e12)
% 20.10/5.13 |
% 20.10/5.13 | Simplifying 1311 yields:
% 20.10/5.13 | (792) ~ (all_0_117_117 = e12)
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (123), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (817) all_0_117_117 = e13
% 20.10/5.13 |
% 20.10/5.13 | Equations (817) can reduce 978 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (978) ~ (all_0_117_117 = e13)
% 20.10/5.13 | (979) all_0_117_117 = e12 | all_0_117_117 = e11
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (979), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (813) all_0_117_117 = e12
% 20.10/5.13 |
% 20.10/5.13 | Equations (813) can reduce 792 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (792) ~ (all_0_117_117 = e12)
% 20.10/5.13 | (744) all_0_117_117 = e11
% 20.10/5.13 |
% 20.10/5.13 | Equations (744) can reduce 982 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (1219) ~ (all_0_111_111 = e12)
% 20.10/5.13 | (1906) all_0_112_112 = e12 | all_0_113_113 = e12 | all_0_114_114 = e12
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (102), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (813) all_0_117_117 = e12
% 20.10/5.13 |
% 20.10/5.13 | Equations (813) can reduce 982 to:
% 20.10/5.13 | (299) ~ (e12 = e11)
% 20.10/5.13 |
% 20.10/5.13 | Equations (813) can reduce 219 to:
% 20.10/5.13 | (147) ~ (e12 = e10)
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (230), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (730), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (731), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (732), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (733), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (734), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.10/5.13 |
% 20.10/5.13 | Applying alpha-rule on (735) yields:
% 20.10/5.13 | (736) all_0_112_112 = e12
% 20.10/5.13 | (678) all_0_115_115 = e12
% 20.10/5.13 | (738) ~ (all_0_111_111 = e13)
% 20.10/5.13 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.10/5.13 |
% 20.10/5.13 | Combining equations (678,669) yields a new equation:
% 20.10/5.13 | (1004) e12 = e10
% 20.10/5.13 |
% 20.10/5.13 | Simplifying 1004 yields:
% 20.10/5.13 | (679) e12 = e10
% 20.10/5.13 |
% 20.10/5.13 | Equations (679) can reduce 147 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.10/5.13 |
% 20.10/5.13 | Applying alpha-rule on (742) yields:
% 20.10/5.13 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.10/5.13 | (744) all_0_117_117 = e11
% 20.10/5.13 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.10/5.13 | (738) ~ (all_0_111_111 = e13)
% 20.10/5.13 | (747) all_0_113_113 = e11
% 20.10/5.13 |
% 20.10/5.13 | Combining equations (744,813) yields a new equation:
% 20.10/5.13 | (749) e12 = e11
% 20.10/5.13 |
% 20.10/5.13 | Equations (749) can reduce 299 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.10/5.13 |
% 20.10/5.13 | Applying alpha-rule on (751) yields:
% 20.10/5.13 | (752) all_0_114_114 = e13
% 20.10/5.13 | (753) all_0_120_120 = e13
% 20.10/5.13 | (754) ~ (all_0_123_123 = e10)
% 20.10/5.13 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.10/5.13 |
% 20.10/5.13 | Combining equations (1079,753) yields a new equation:
% 20.10/5.13 | (1245) e13 = e11
% 20.10/5.13 |
% 20.10/5.13 | Equations (1245) can reduce 341 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.10/5.13 |
% 20.10/5.13 | Applying alpha-rule on (757) yields:
% 20.10/5.13 | (718) all_0_114_114 = e10
% 20.10/5.13 | (759) all_0_120_120 = e10
% 20.10/5.13 | (738) ~ (all_0_111_111 = e13)
% 20.10/5.13 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.10/5.13 |
% 20.10/5.13 | Combining equations (1079,759) yields a new equation:
% 20.10/5.13 | (1095) e11 = e10
% 20.10/5.13 |
% 20.10/5.13 | Simplifying 1095 yields:
% 20.10/5.13 | (803) e11 = e10
% 20.10/5.13 |
% 20.10/5.13 | Equations (803) can reduce 284 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.10/5.13 |
% 20.10/5.13 | Applying alpha-rule on (763) yields:
% 20.10/5.13 | (682) all_0_116_116 = e12
% 20.10/5.13 | (765) all_0_121_121 = e12
% 20.10/5.13 | (754) ~ (all_0_123_123 = e10)
% 20.10/5.13 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.10/5.13 |
% 20.10/5.13 | Equations (765) can reduce 1007 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.10/5.13 |
% 20.10/5.13 | Applying alpha-rule on (769) yields:
% 20.10/5.13 | (722) all_0_116_116 = e10
% 20.10/5.13 | (771) all_0_121_121 = e10
% 20.10/5.13 |
% 20.10/5.13 | Combining equations (682,722) yields a new equation:
% 20.10/5.13 | (1004) e12 = e10
% 20.10/5.13 |
% 20.10/5.13 | Simplifying 1004 yields:
% 20.10/5.13 | (679) e12 = e10
% 20.10/5.13 |
% 20.10/5.13 | Equations (679) can reduce 147 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.10/5.13 |
% 20.10/5.13 | Applying alpha-rule on (774) yields:
% 20.10/5.13 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.10/5.13 | (754) ~ (all_0_123_123 = e10)
% 20.10/5.13 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.10/5.13 | (702) all_0_122_122 = e11
% 20.10/5.13 | (779) all_0_119_119 = e11
% 20.10/5.13 |
% 20.10/5.13 | Combining equations (702,699) yields a new equation:
% 20.10/5.13 | (749) e12 = e11
% 20.10/5.13 |
% 20.10/5.13 | Equations (749) can reduce 299 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (792) ~ (all_0_117_117 = e12)
% 20.10/5.13 | (816) all_0_118_118 = e12 | all_0_119_119 = e12
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (327), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (1216) all_0_111_111 = e12
% 20.10/5.13 |
% 20.10/5.13 | Equations (1216) can reduce 1219 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (1219) ~ (all_0_111_111 = e12)
% 20.10/5.13 | (3481) all_0_115_115 = e12 | all_0_117_117 = e12 | all_0_120_120 = e12
% 20.10/5.13 |
% 20.10/5.13 +-Applying beta-rule and splitting (3481), into two cases.
% 20.10/5.13 |-Branch one:
% 20.10/5.13 | (678) all_0_115_115 = e12
% 20.10/5.13 |
% 20.10/5.13 | Combining equations (678,669) yields a new equation:
% 20.10/5.13 | (1004) e12 = e10
% 20.10/5.13 |
% 20.10/5.13 | Simplifying 1004 yields:
% 20.10/5.13 | (679) e12 = e10
% 20.10/5.13 |
% 20.10/5.13 | Equations (679) can reduce 147 to:
% 20.10/5.13 | (392) $false
% 20.10/5.13 |
% 20.10/5.13 |-The branch is then unsatisfiable
% 20.10/5.13 |-Branch two:
% 20.10/5.13 | (681) ~ (all_0_115_115 = e12)
% 20.22/5.13 | (3487) all_0_117_117 = e12 | all_0_120_120 = e12
% 20.22/5.13 |
% 20.22/5.13 +-Applying beta-rule and splitting (3487), into two cases.
% 20.22/5.13 |-Branch one:
% 20.22/5.13 | (813) all_0_117_117 = e12
% 20.22/5.13 |
% 20.22/5.13 | Equations (813) can reduce 792 to:
% 20.22/5.13 | (392) $false
% 20.22/5.13 |
% 20.22/5.13 |-The branch is then unsatisfiable
% 20.22/5.13 |-Branch two:
% 20.22/5.13 | (792) ~ (all_0_117_117 = e12)
% 20.22/5.13 | (791) all_0_120_120 = e12
% 20.22/5.13 |
% 20.22/5.13 | Combining equations (1079,791) yields a new equation:
% 20.22/5.13 | (749) e12 = e11
% 20.22/5.13 |
% 20.22/5.13 | Equations (749) can reduce 299 to:
% 20.22/5.13 | (392) $false
% 20.22/5.13 |
% 20.22/5.13 |-The branch is then unsatisfiable
% 20.22/5.13 |-Branch two:
% 20.22/5.13 | (819) ~ (all_0_118_118 = e13)
% 20.22/5.13 | (824) all_0_118_118 = e12
% 20.22/5.13 |
% 20.22/5.13 | Equations (824) can reduce 46 to:
% 20.22/5.13 | (694) ~ (all_0_112_112 = e12)
% 20.22/5.13 |
% 20.22/5.13 | Equations (824) can reduce 212 to:
% 20.22/5.13 | (684) ~ (all_0_119_119 = e12)
% 20.22/5.13 |
% 20.22/5.13 | Simplifying 684 yields:
% 20.22/5.13 | (685) ~ (all_0_119_119 = e12)
% 20.22/5.13 |
% 20.22/5.13 | Equations (824) can reduce 14 to:
% 20.22/5.13 | (1429) ~ (all_0_121_121 = e12)
% 20.22/5.13 |
% 20.22/5.13 | Simplifying 1429 yields:
% 20.22/5.13 | (1007) ~ (all_0_121_121 = e12)
% 20.22/5.13 |
% 20.22/5.13 | Equations (824) can reduce 819 to:
% 20.22/5.13 | (1052) ~ (e13 = e12)
% 20.22/5.13 |
% 20.22/5.13 | Simplifying 1052 yields:
% 20.22/5.13 | (278) ~ (e13 = e12)
% 20.22/5.13 |
% 20.22/5.13 | Equations (824) can reduce 153 to:
% 20.22/5.13 | (299) ~ (e12 = e11)
% 20.22/5.13 |
% 20.22/5.13 +-Applying beta-rule and splitting (218), into two cases.
% 20.22/5.13 |-Branch one:
% 20.22/5.13 | (1216) all_0_111_111 = e12
% 20.22/5.13 |
% 20.22/5.13 | Equations (1216) can reduce 65 to:
% 20.22/5.13 | (1328) ~ (all_0_114_114 = e12)
% 20.22/5.13 |
% 20.22/5.13 | Simplifying 1328 yields:
% 20.22/5.13 | (683) ~ (all_0_114_114 = e12)
% 20.22/5.13 |
% 20.22/5.13 | Equations (1216) can reduce 936 to:
% 20.22/5.13 | (299) ~ (e12 = e11)
% 20.22/5.13 |
% 20.22/5.13 +-Applying beta-rule and splitting (124), into two cases.
% 20.22/5.13 |-Branch one:
% 20.22/5.13 | (713) all_0_112_112 = e10
% 20.22/5.13 |
% 20.22/5.13 | Equations (713) can reduce 208 to:
% 20.22/5.13 | (1034) ~ (all_0_121_121 = e10)
% 20.22/5.13 |
% 20.22/5.13 | Simplifying 1034 yields:
% 20.22/5.13 | (1035) ~ (all_0_121_121 = e10)
% 20.22/5.13 |
% 20.22/5.13 | Equations (713) can reduce 28 to:
% 20.22/5.13 | (784) ~ (e11 = e10)
% 20.22/5.13 |
% 20.22/5.13 | Simplifying 784 yields:
% 20.22/5.13 | (284) ~ (e11 = e10)
% 20.22/5.13 |
% 20.22/5.13 +-Applying beta-rule and splitting (96), into two cases.
% 20.22/5.13 |-Branch one:
% 20.22/5.13 | (759) all_0_120_120 = e10
% 20.22/5.13 |
% 20.22/5.13 | Equations (759) can reduce 674 to:
% 20.22/5.13 | (392) $false
% 20.22/5.13 |
% 20.22/5.13 |-The branch is then unsatisfiable
% 20.22/5.13 |-Branch two:
% 20.22/5.13 | (674) ~ (all_0_120_120 = e10)
% 20.22/5.13 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 20.22/5.13 |
% 20.22/5.13 +-Applying beta-rule and splitting (1039), into two cases.
% 20.22/5.13 |-Branch one:
% 20.22/5.14 | (771) all_0_121_121 = e10
% 20.22/5.14 |
% 20.22/5.14 | Equations (771) can reduce 1035 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (1035) ~ (all_0_121_121 = e10)
% 20.22/5.14 | (726) all_0_123_123 = e10
% 20.22/5.14 |
% 20.22/5.14 | Equations (726) can reduce 267 to:
% 20.22/5.14 | (715) ~ (all_0_114_114 = e10)
% 20.22/5.14 |
% 20.22/5.14 | Equations (726) can reduce 150 to:
% 20.22/5.14 | (159) ~ (all_0_119_119 = e10)
% 20.22/5.14 |
% 20.22/5.14 | Equations (726) can reduce 687 to:
% 20.22/5.14 | (716) ~ (e12 = e10)
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 716 yields:
% 20.22/5.14 | (147) ~ (e12 = e10)
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (45), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (1079) all_0_120_120 = e11
% 20.22/5.14 |
% 20.22/5.14 | Equations (1079) can reduce 303 to:
% 20.22/5.14 | (982) ~ (all_0_117_117 = e11)
% 20.22/5.14 |
% 20.22/5.14 | Equations (1079) can reduce 5 to:
% 20.22/5.14 | (3527) ~ (all_0_121_121 = e11)
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 3527 yields:
% 20.22/5.14 | (23) ~ (all_0_121_121 = e11)
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (173), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (744) all_0_117_117 = e11
% 20.22/5.14 |
% 20.22/5.14 | Equations (744) can reduce 982 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (982) ~ (all_0_117_117 = e11)
% 20.22/5.14 | (779) all_0_119_119 = e11
% 20.22/5.14 |
% 20.22/5.14 | Equations (779) can reduce 91 to:
% 20.22/5.14 | (982) ~ (all_0_117_117 = e11)
% 20.22/5.14 |
% 20.22/5.14 | Equations (779) can reduce 685 to:
% 20.22/5.14 | (706) ~ (e12 = e11)
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 706 yields:
% 20.22/5.14 | (299) ~ (e12 = e11)
% 20.22/5.14 |
% 20.22/5.14 | Equations (779) can reduce 159 to:
% 20.22/5.14 | (284) ~ (e11 = e10)
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (132), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (1176) all_0_111_111 = e13
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (1176,1216) yields a new equation:
% 20.22/5.14 | (1969) e13 = e12
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 1969 yields:
% 20.22/5.14 | (957) e13 = e12
% 20.22/5.14 |
% 20.22/5.14 | Equations (957) can reduce 278 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.14 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (264), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (752) all_0_114_114 = e13
% 20.22/5.14 |
% 20.22/5.14 | Equations (752) can reduce 683 to:
% 20.22/5.14 | (278) ~ (e13 = e12)
% 20.22/5.14 |
% 20.22/5.14 | Equations (752) can reduce 715 to:
% 20.22/5.14 | (189) ~ (e13 = e10)
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (6), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (1176) all_0_111_111 = e13
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (1176,1216) yields a new equation:
% 20.22/5.14 | (1969) e13 = e12
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 1969 yields:
% 20.22/5.14 | (957) e13 = e12
% 20.22/5.14 |
% 20.22/5.14 | Equations (957) can reduce 278 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.14 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 20.22/5.14 |
% 20.22/5.14 | Equations (1216) can reduce 738 to:
% 20.22/5.14 | (1052) ~ (e13 = e12)
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 1052 yields:
% 20.22/5.14 | (278) ~ (e13 = e12)
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (354), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (828) all_0_112_112 = e13
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (828,713) yields a new equation:
% 20.22/5.14 | (949) e13 = e10
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 949 yields:
% 20.22/5.14 | (950) e13 = e10
% 20.22/5.14 |
% 20.22/5.14 | Equations (950) can reduce 189 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.14 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (62), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (961) all_0_121_121 = e13
% 20.22/5.14 |
% 20.22/5.14 | Equations (961) can reduce 1007 to:
% 20.22/5.14 | (278) ~ (e13 = e12)
% 20.22/5.14 |
% 20.22/5.14 | Equations (961) can reduce 23 to:
% 20.22/5.14 | (341) ~ (e13 = e11)
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (230), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (730), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (731), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (732), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (733), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (734), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.14 |
% 20.22/5.14 | Applying alpha-rule on (735) yields:
% 20.22/5.14 | (736) all_0_112_112 = e12
% 20.22/5.14 | (678) all_0_115_115 = e12
% 20.22/5.14 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.14 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (678,669) yields a new equation:
% 20.22/5.14 | (1004) e12 = e10
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 1004 yields:
% 20.22/5.14 | (679) e12 = e10
% 20.22/5.14 |
% 20.22/5.14 | Equations (679) can reduce 147 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.14 |
% 20.22/5.14 | Applying alpha-rule on (742) yields:
% 20.22/5.14 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.14 | (744) all_0_117_117 = e11
% 20.22/5.14 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.14 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.14 | (747) all_0_113_113 = e11
% 20.22/5.14 |
% 20.22/5.14 | Equations (744) can reduce 982 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.14 |
% 20.22/5.14 | Applying alpha-rule on (751) yields:
% 20.22/5.14 | (752) all_0_114_114 = e13
% 20.22/5.14 | (753) all_0_120_120 = e13
% 20.22/5.14 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.14 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (1079,753) yields a new equation:
% 20.22/5.14 | (1245) e13 = e11
% 20.22/5.14 |
% 20.22/5.14 | Equations (1245) can reduce 341 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.22/5.14 |
% 20.22/5.14 | Applying alpha-rule on (757) yields:
% 20.22/5.14 | (718) all_0_114_114 = e10
% 20.22/5.14 | (759) all_0_120_120 = e10
% 20.22/5.14 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.14 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (1079,759) yields a new equation:
% 20.22/5.14 | (1095) e11 = e10
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 1095 yields:
% 20.22/5.14 | (803) e11 = e10
% 20.22/5.14 |
% 20.22/5.14 | Equations (803) can reduce 284 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.22/5.14 |
% 20.22/5.14 | Applying alpha-rule on (763) yields:
% 20.22/5.14 | (682) all_0_116_116 = e12
% 20.22/5.14 | (765) all_0_121_121 = e12
% 20.22/5.14 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.14 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (765,961) yields a new equation:
% 20.22/5.14 | (957) e13 = e12
% 20.22/5.14 |
% 20.22/5.14 | Equations (957) can reduce 278 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.22/5.14 |
% 20.22/5.14 | Applying alpha-rule on (769) yields:
% 20.22/5.14 | (722) all_0_116_116 = e10
% 20.22/5.14 | (771) all_0_121_121 = e10
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (682,722) yields a new equation:
% 20.22/5.14 | (1004) e12 = e10
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 1004 yields:
% 20.22/5.14 | (679) e12 = e10
% 20.22/5.14 |
% 20.22/5.14 | Equations (679) can reduce 147 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.14 |
% 20.22/5.14 | Applying alpha-rule on (774) yields:
% 20.22/5.14 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.14 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.14 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.14 | (702) all_0_122_122 = e11
% 20.22/5.14 | (779) all_0_119_119 = e11
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (699,702) yields a new equation:
% 20.22/5.14 | (748) e12 = e11
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 748 yields:
% 20.22/5.14 | (749) e12 = e11
% 20.22/5.14 |
% 20.22/5.14 | Equations (749) can reduce 299 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (964) ~ (all_0_121_121 = e13)
% 20.22/5.14 | (1132) all_0_121_121 = e12 | all_0_121_121 = e10
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (968), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (821) all_0_118_118 = e13
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (824,821) yields a new equation:
% 20.22/5.14 | (957) e13 = e12
% 20.22/5.14 |
% 20.22/5.14 | Equations (957) can reduce 278 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (819) ~ (all_0_118_118 = e13)
% 20.22/5.14 | (961) all_0_121_121 = e13
% 20.22/5.14 |
% 20.22/5.14 | Equations (961) can reduce 964 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (952) ~ (all_0_114_114 = e13)
% 20.22/5.14 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (1179), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (828) all_0_112_112 = e13
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (828,713) yields a new equation:
% 20.22/5.14 | (949) e13 = e10
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 949 yields:
% 20.22/5.14 | (950) e13 = e10
% 20.22/5.14 |
% 20.22/5.14 | Equations (950) can reduce 189 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.14 | (752) all_0_114_114 = e13
% 20.22/5.14 |
% 20.22/5.14 | Equations (752) can reduce 952 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (1075) ~ (all_0_120_120 = e11)
% 20.22/5.14 | (1082) all_0_122_122 = e11 | all_0_123_123 = e11
% 20.22/5.14 |
% 20.22/5.14 +-Applying beta-rule and splitting (1082), into two cases.
% 20.22/5.14 |-Branch one:
% 20.22/5.14 | (702) all_0_122_122 = e11
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (699,702) yields a new equation:
% 20.22/5.14 | (748) e12 = e11
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 748 yields:
% 20.22/5.14 | (749) e12 = e11
% 20.22/5.14 |
% 20.22/5.14 | Equations (749) can reduce 299 to:
% 20.22/5.14 | (392) $false
% 20.22/5.14 |
% 20.22/5.14 |-The branch is then unsatisfiable
% 20.22/5.14 |-Branch two:
% 20.22/5.14 | (1093) ~ (all_0_122_122 = e11)
% 20.22/5.14 | (999) all_0_123_123 = e11
% 20.22/5.14 |
% 20.22/5.14 | Combining equations (999,726) yields a new equation:
% 20.22/5.14 | (1095) e11 = e10
% 20.22/5.14 |
% 20.22/5.14 | Simplifying 1095 yields:
% 20.22/5.14 | (803) e11 = e10
% 20.22/5.14 |
% 20.22/5.15 | Equations (803) can reduce 284 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (781) ~ (all_0_112_112 = e10)
% 20.22/5.15 | (771) all_0_121_121 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (771) can reduce 5 to:
% 20.22/5.15 | (674) ~ (all_0_120_120 = e10)
% 20.22/5.15 |
% 20.22/5.15 | Equations (771) can reduce 292 to:
% 20.22/5.15 | (1146) ~ (all_0_123_123 = e10)
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 1146 yields:
% 20.22/5.15 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.15 |
% 20.22/5.15 | Equations (771) can reduce 1007 to:
% 20.22/5.15 | (716) ~ (e12 = e10)
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 716 yields:
% 20.22/5.15 | (147) ~ (e12 = e10)
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (71), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (718) all_0_114_114 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (718) can reduce 207 to:
% 20.22/5.15 | (781) ~ (all_0_112_112 = e10)
% 20.22/5.15 |
% 20.22/5.15 | Equations (718) can reduce 683 to:
% 20.22/5.15 | (716) ~ (e12 = e10)
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 716 yields:
% 20.22/5.15 | (147) ~ (e12 = e10)
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (132), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (1176) all_0_111_111 = e13
% 20.22/5.15 |
% 20.22/5.15 | Combining equations (1176,1216) yields a new equation:
% 20.22/5.15 | (1969) e13 = e12
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 1969 yields:
% 20.22/5.15 | (957) e13 = e12
% 20.22/5.15 |
% 20.22/5.15 | Equations (957) can reduce 278 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.15 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (1179), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (828) all_0_112_112 = e13
% 20.22/5.15 |
% 20.22/5.15 | Equations (828) can reduce 781 to:
% 20.22/5.15 | (189) ~ (e13 = e10)
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (230), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (730), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (731), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (732), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (733), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (734), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.15 |
% 20.22/5.15 | Applying alpha-rule on (735) yields:
% 20.22/5.15 | (736) all_0_112_112 = e12
% 20.22/5.15 | (678) all_0_115_115 = e12
% 20.22/5.15 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.15 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.15 |
% 20.22/5.15 | Combining equations (678,669) yields a new equation:
% 20.22/5.15 | (1004) e12 = e10
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 1004 yields:
% 20.22/5.15 | (679) e12 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (679) can reduce 147 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.15 |
% 20.22/5.15 | Applying alpha-rule on (742) yields:
% 20.22/5.15 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.15 | (744) all_0_117_117 = e11
% 20.22/5.15 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.15 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.15 | (747) all_0_113_113 = e11
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (745), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (1219) ~ (all_0_111_111 = e12)
% 20.22/5.15 |
% 20.22/5.15 | Equations (1216) can reduce 1219 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (1216) all_0_111_111 = e12
% 20.22/5.15 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.15 |
% 20.22/5.15 | Equations (828) can reduce 967 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.15 |
% 20.22/5.15 | Applying alpha-rule on (751) yields:
% 20.22/5.15 | (752) all_0_114_114 = e13
% 20.22/5.15 | (753) all_0_120_120 = e13
% 20.22/5.15 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.15 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.15 |
% 20.22/5.15 | Combining equations (752,718) yields a new equation:
% 20.22/5.15 | (949) e13 = e10
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 949 yields:
% 20.22/5.15 | (950) e13 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (950) can reduce 189 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.22/5.15 |
% 20.22/5.15 | Applying alpha-rule on (757) yields:
% 20.22/5.15 | (718) all_0_114_114 = e10
% 20.22/5.15 | (759) all_0_120_120 = e10
% 20.22/5.15 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.15 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.15 |
% 20.22/5.15 | Equations (759) can reduce 674 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.22/5.15 |
% 20.22/5.15 | Applying alpha-rule on (763) yields:
% 20.22/5.15 | (682) all_0_116_116 = e12
% 20.22/5.15 | (765) all_0_121_121 = e12
% 20.22/5.15 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.15 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.15 |
% 20.22/5.15 | Combining equations (771,765) yields a new equation:
% 20.22/5.15 | (679) e12 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (679) can reduce 147 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.22/5.15 |
% 20.22/5.15 | Applying alpha-rule on (769) yields:
% 20.22/5.15 | (722) all_0_116_116 = e10
% 20.22/5.15 | (771) all_0_121_121 = e10
% 20.22/5.15 |
% 20.22/5.15 | Combining equations (682,722) yields a new equation:
% 20.22/5.15 | (1004) e12 = e10
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 1004 yields:
% 20.22/5.15 | (679) e12 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (679) can reduce 147 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.15 |
% 20.22/5.15 | Applying alpha-rule on (774) yields:
% 20.22/5.15 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.15 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.15 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.15 | (702) all_0_122_122 = e11
% 20.22/5.15 | (779) all_0_119_119 = e11
% 20.22/5.15 |
% 20.22/5.15 | Combining equations (702,699) yields a new equation:
% 20.22/5.15 | (749) e12 = e11
% 20.22/5.15 |
% 20.22/5.15 | Equations (749) can reduce 299 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.15 | (752) all_0_114_114 = e13
% 20.22/5.15 |
% 20.22/5.15 | Combining equations (718,752) yields a new equation:
% 20.22/5.15 | (950) e13 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (950) can reduce 189 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (715) ~ (all_0_114_114 = e10)
% 20.22/5.15 | (721) all_0_116_116 = e10 | all_0_123_123 = e10
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (50), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (787) all_0_111_111 = e10
% 20.22/5.15 |
% 20.22/5.15 | Combining equations (787,1216) yields a new equation:
% 20.22/5.15 | (679) e12 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (679) can reduce 147 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (670) ~ (all_0_111_111 = e10)
% 20.22/5.15 | (790) all_0_112_112 = e10 | all_0_114_114 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (1216) can reduce 670 to:
% 20.22/5.15 | (147) ~ (e12 = e10)
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (721), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (722) all_0_116_116 = e10
% 20.22/5.15 |
% 20.22/5.15 | Combining equations (682,722) yields a new equation:
% 20.22/5.15 | (1004) e12 = e10
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 1004 yields:
% 20.22/5.15 | (679) e12 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (679) can reduce 147 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (725) ~ (all_0_116_116 = e10)
% 20.22/5.15 | (726) all_0_123_123 = e10
% 20.22/5.15 |
% 20.22/5.15 | Equations (726) can reduce 754 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (1219) ~ (all_0_111_111 = e12)
% 20.22/5.15 | (1906) all_0_112_112 = e12 | all_0_113_113 = e12 | all_0_114_114 = e12
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (1906), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (736) all_0_112_112 = e12
% 20.22/5.15 |
% 20.22/5.15 | Equations (736) can reduce 694 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (694) ~ (all_0_112_112 = e12)
% 20.22/5.15 | (1912) all_0_113_113 = e12 | all_0_114_114 = e12
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (1912), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (693) all_0_113_113 = e12
% 20.22/5.15 |
% 20.22/5.15 | Combining equations (693,747) yields a new equation:
% 20.22/5.15 | (748) e12 = e11
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 748 yields:
% 20.22/5.15 | (749) e12 = e11
% 20.22/5.15 |
% 20.22/5.15 | Equations (749) can reduce 299 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (1015) ~ (all_0_113_113 = e12)
% 20.22/5.15 | (1465) all_0_114_114 = e12
% 20.22/5.15 |
% 20.22/5.15 | Equations (1465) can reduce 683 to:
% 20.22/5.15 | (392) $false
% 20.22/5.15 |
% 20.22/5.15 |-The branch is then unsatisfiable
% 20.22/5.15 |-Branch two:
% 20.22/5.15 | (696) ~ (all_0_122_122 = e12)
% 20.22/5.15 | (702) all_0_122_122 = e11
% 20.22/5.15 |
% 20.22/5.15 | Equations (702) can reduce 16 to:
% 20.22/5.15 | (1075) ~ (all_0_120_120 = e11)
% 20.22/5.15 |
% 20.22/5.15 | Equations (702) can reduce 140 to:
% 20.22/5.15 | (23) ~ (all_0_121_121 = e11)
% 20.22/5.15 |
% 20.22/5.15 | Equations (702) can reduce 293 to:
% 20.22/5.15 | (1025) ~ (e13 = e11)
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 1025 yields:
% 20.22/5.15 | (341) ~ (e13 = e11)
% 20.22/5.15 |
% 20.22/5.15 | Equations (702) can reduce 696 to:
% 20.22/5.15 | (706) ~ (e12 = e11)
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 706 yields:
% 20.22/5.15 | (299) ~ (e12 = e11)
% 20.22/5.15 |
% 20.22/5.15 | From (702) and (231) follows:
% 20.22/5.15 | (1342) h1(e11) = all_0_91_91
% 20.22/5.15 |
% 20.22/5.15 | From (702) and (27) follows:
% 20.22/5.15 | (1343) h3(e11) = all_0_39_39
% 20.22/5.15 |
% 20.22/5.15 | From (702) and (227) follows:
% 20.22/5.15 | (708) h4(e11) = all_0_25_25
% 20.22/5.15 |
% 20.22/5.15 +-Applying beta-rule and splitting (338), into two cases.
% 20.22/5.15 |-Branch one:
% 20.22/5.15 | (693) all_0_113_113 = e12
% 20.22/5.15 |
% 20.22/5.15 | Equations (693) can reduce 186 to:
% 20.22/5.15 | (1219) ~ (all_0_111_111 = e12)
% 20.22/5.15 |
% 20.22/5.15 | Equations (693) can reduce 305 to:
% 20.22/5.15 | (694) ~ (all_0_112_112 = e12)
% 20.22/5.15 |
% 20.22/5.15 | Equations (693) can reduce 283 to:
% 20.22/5.15 | (1328) ~ (all_0_114_114 = e12)
% 20.22/5.15 |
% 20.22/5.15 | Simplifying 1328 yields:
% 20.22/5.15 | (683) ~ (all_0_114_114 = e12)
% 20.22/5.15 |
% 20.22/5.15 | Equations (693) can reduce 323 to:
% 20.22/5.15 | (147) ~ (e12 = e10)
% 20.22/5.15 |
% 20.22/5.15 | From (693) and (306) follows:
% 20.22/5.15 | (1333) h1(e12) = all_0_71_71
% 20.22/5.16 |
% 20.22/5.16 | From (693) and (13) follows:
% 20.22/5.16 | (1334) h3(e12) = all_0_30_30
% 20.22/5.16 |
% 20.22/5.16 | From (693) and (245) follows:
% 20.22/5.16 | (698) h4(e12) = all_0_5_5
% 20.22/5.16 |
% 20.22/5.16 | Instantiating formula (154) with e12, all_0_71_71, e20 and discharging atoms h1(e12) = all_0_71_71, h1(e12) = e20, yields:
% 20.22/5.16 | (1344) all_0_71_71 = e20
% 20.22/5.16 |
% 20.22/5.16 | Instantiating formula (154) with e11, all_0_91_91, e23 and discharging atoms h1(e11) = all_0_91_91, h1(e11) = e23, yields:
% 20.22/5.16 | (3779) all_0_91_91 = e23
% 20.22/5.16 |
% 20.22/5.16 | Instantiating formula (68) with e12, all_0_30_30, e22 and discharging atoms h3(e12) = all_0_30_30, h3(e12) = e22, yields:
% 20.22/5.16 | (1346) all_0_30_30 = e22
% 20.22/5.16 |
% 20.22/5.16 | Instantiating formula (68) with e11, all_0_39_39, e21 and discharging atoms h3(e11) = all_0_39_39, h3(e11) = e21, yields:
% 20.22/5.16 | (1347) all_0_39_39 = e21
% 20.22/5.16 |
% 20.22/5.16 | Instantiating formula (32) with e12, all_0_5_5, e23 and discharging atoms h4(e12) = all_0_5_5, h4(e12) = e23, yields:
% 20.22/5.16 | (709) all_0_5_5 = e23
% 20.22/5.16 |
% 20.22/5.16 | Instantiating formula (32) with e11, all_0_25_25, e21 and discharging atoms h4(e11) = all_0_25_25, h4(e11) = e21, yields:
% 20.22/5.16 | (710) all_0_25_25 = e21
% 20.22/5.16 |
% 20.22/5.16 | From (1344) and (1333) follows:
% 20.22/5.16 | (199) h1(e12) = e20
% 20.22/5.16 |
% 20.22/5.16 | From (3779) and (1342) follows:
% 20.22/5.16 | (2581) h1(e11) = e23
% 20.22/5.16 |
% 20.22/5.16 | From (1346) and (1334) follows:
% 20.22/5.16 | (297) h3(e12) = e22
% 20.22/5.16 |
% 20.22/5.16 | From (1347) and (1343) follows:
% 20.22/5.16 | (353) h3(e11) = e21
% 20.22/5.16 |
% 20.22/5.16 | From (709) and (698) follows:
% 20.22/5.16 | (176) h4(e12) = e23
% 20.22/5.16 |
% 20.22/5.16 | From (710) and (708) follows:
% 20.22/5.16 | (496) h4(e11) = e21
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (125), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (669) all_0_115_115 = e10
% 20.22/5.16 |
% 20.22/5.16 | Equations (669) can reduce 349 to:
% 20.22/5.16 | (3791) ~ (all_0_116_116 = e10)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 3791 yields:
% 20.22/5.16 | (725) ~ (all_0_116_116 = e10)
% 20.22/5.16 |
% 20.22/5.16 | Equations (669) can reduce 152 to:
% 20.22/5.16 | (671) ~ (all_0_117_117 = e10)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 671 yields:
% 20.22/5.16 | (219) ~ (all_0_117_117 = e10)
% 20.22/5.16 |
% 20.22/5.16 | Equations (669) can reduce 256 to:
% 20.22/5.16 | (673) ~ (all_0_120_120 = e10)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 673 yields:
% 20.22/5.16 | (674) ~ (all_0_120_120 = e10)
% 20.22/5.16 |
% 20.22/5.16 | From (669) and (90) follows:
% 20.22/5.16 | (3797) h3(e10) = all_0_32_32
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (340), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (678) all_0_115_115 = e12
% 20.22/5.16 |
% 20.22/5.16 | Combining equations (669,678) yields a new equation:
% 20.22/5.16 | (679) e12 = e10
% 20.22/5.16 |
% 20.22/5.16 | Equations (679) can reduce 147 to:
% 20.22/5.16 | (392) $false
% 20.22/5.16 |
% 20.22/5.16 |-The branch is then unsatisfiable
% 20.22/5.16 |-Branch two:
% 20.22/5.16 | (681) ~ (all_0_115_115 = e12)
% 20.22/5.16 | (682) all_0_116_116 = e12
% 20.22/5.16 |
% 20.22/5.16 | Equations (682) can reduce 78 to:
% 20.22/5.16 | (684) ~ (all_0_119_119 = e12)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 684 yields:
% 20.22/5.16 | (685) ~ (all_0_119_119 = e12)
% 20.22/5.16 |
% 20.22/5.16 | Equations (682) can reduce 63 to:
% 20.22/5.16 | (1052) ~ (e13 = e12)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 1052 yields:
% 20.22/5.16 | (278) ~ (e13 = e12)
% 20.22/5.16 |
% 20.22/5.16 | Equations (682) can reduce 725 to:
% 20.22/5.16 | (147) ~ (e12 = e10)
% 20.22/5.16 |
% 20.22/5.16 | From (682) and (217) follows:
% 20.22/5.16 | (3808) h3(e12) = all_0_33_33
% 20.22/5.16 |
% 20.22/5.16 | Instantiating formula (68) with e12, all_0_33_33, e22 and discharging atoms h3(e12) = all_0_33_33, h3(e12) = e22, yields:
% 20.22/5.16 | (3809) all_0_33_33 = e22
% 20.22/5.16 |
% 20.22/5.16 | Instantiating formula (68) with e10, all_0_32_32, e20 and discharging atoms h3(e10) = all_0_32_32, h3(e10) = e20, yields:
% 20.22/5.16 | (3810) all_0_32_32 = e20
% 20.22/5.16 |
% 20.22/5.16 | From (3809) and (3808) follows:
% 20.22/5.16 | (297) h3(e12) = e22
% 20.22/5.16 |
% 20.22/5.16 | From (3810) and (3797) follows:
% 20.22/5.16 | (263) h3(e10) = e20
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (321), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (821) all_0_118_118 = e13
% 20.22/5.16 |
% 20.22/5.16 | Equations (821) can reduce 46 to:
% 20.22/5.16 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.16 |
% 20.22/5.16 | Equations (821) can reduce 212 to:
% 20.22/5.16 | (3265) ~ (all_0_119_119 = e13)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 3265 yields:
% 20.22/5.16 | (1556) ~ (all_0_119_119 = e13)
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (193), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (1552) all_0_119_119 = e13
% 20.22/5.16 |
% 20.22/5.16 | Equations (1552) can reduce 1556 to:
% 20.22/5.16 | (392) $false
% 20.22/5.16 |
% 20.22/5.16 |-The branch is then unsatisfiable
% 20.22/5.16 |-Branch two:
% 20.22/5.16 | (1556) ~ (all_0_119_119 = e13)
% 20.22/5.16 | (1849) all_0_119_119 = e12 | all_0_119_119 = e11
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (1849), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (1476) all_0_119_119 = e12
% 20.22/5.16 |
% 20.22/5.16 | Equations (1476) can reduce 685 to:
% 20.22/5.16 | (392) $false
% 20.22/5.16 |
% 20.22/5.16 |-The branch is then unsatisfiable
% 20.22/5.16 |-Branch two:
% 20.22/5.16 | (685) ~ (all_0_119_119 = e12)
% 20.22/5.16 | (779) all_0_119_119 = e11
% 20.22/5.16 |
% 20.22/5.16 | Equations (779) can reduce 359 to:
% 20.22/5.16 | (805) ~ (all_0_114_114 = e11)
% 20.22/5.16 |
% 20.22/5.16 | Equations (779) can reduce 685 to:
% 20.22/5.16 | (706) ~ (e12 = e11)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 706 yields:
% 20.22/5.16 | (299) ~ (e12 = e11)
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (172), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (834) all_0_111_111 = e11
% 20.22/5.16 |
% 20.22/5.16 | Equations (834) can reduce 167 to:
% 20.22/5.16 | (981) ~ (all_0_117_117 = e11)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 981 yields:
% 20.22/5.16 | (982) ~ (all_0_117_117 = e11)
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (335), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (828) all_0_112_112 = e13
% 20.22/5.16 |
% 20.22/5.16 | Equations (828) can reduce 967 to:
% 20.22/5.16 | (392) $false
% 20.22/5.16 |
% 20.22/5.16 |-The branch is then unsatisfiable
% 20.22/5.16 |-Branch two:
% 20.22/5.16 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.16 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (102), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (813) all_0_117_117 = e12
% 20.22/5.16 |
% 20.22/5.16 | Equations (813) can reduce 982 to:
% 20.22/5.16 | (299) ~ (e12 = e11)
% 20.22/5.16 |
% 20.22/5.16 | Equations (813) can reduce 219 to:
% 20.22/5.16 | (147) ~ (e12 = e10)
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (230), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (730), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (731), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (732), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (733), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (734), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.16 |
% 20.22/5.16 | Applying alpha-rule on (735) yields:
% 20.22/5.16 | (736) all_0_112_112 = e12
% 20.22/5.16 | (678) all_0_115_115 = e12
% 20.22/5.16 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.16 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.16 |
% 20.22/5.16 | Combining equations (669,678) yields a new equation:
% 20.22/5.16 | (679) e12 = e10
% 20.22/5.16 |
% 20.22/5.16 | Equations (679) can reduce 147 to:
% 20.22/5.16 | (392) $false
% 20.22/5.16 |
% 20.22/5.16 |-The branch is then unsatisfiable
% 20.22/5.16 |-Branch two:
% 20.22/5.16 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.16 |
% 20.22/5.16 | Applying alpha-rule on (742) yields:
% 20.22/5.16 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.16 | (744) all_0_117_117 = e11
% 20.22/5.16 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.16 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.16 | (747) all_0_113_113 = e11
% 20.22/5.16 |
% 20.22/5.16 | Combining equations (813,744) yields a new equation:
% 20.22/5.16 | (748) e12 = e11
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 748 yields:
% 20.22/5.16 | (749) e12 = e11
% 20.22/5.16 |
% 20.22/5.16 | Equations (749) can reduce 299 to:
% 20.22/5.16 | (392) $false
% 20.22/5.16 |
% 20.22/5.16 |-The branch is then unsatisfiable
% 20.22/5.16 |-Branch two:
% 20.22/5.16 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.16 |
% 20.22/5.16 | Applying alpha-rule on (751) yields:
% 20.22/5.16 | (752) all_0_114_114 = e13
% 20.22/5.16 | (753) all_0_120_120 = e13
% 20.22/5.16 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.16 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.16 |
% 20.22/5.16 | Equations (752) can reduce 207 to:
% 20.22/5.16 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (972), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (736) all_0_112_112 = e12
% 20.22/5.16 |
% 20.22/5.16 | Equations (736) can reduce 694 to:
% 20.22/5.16 | (392) $false
% 20.22/5.16 |
% 20.22/5.16 |-The branch is then unsatisfiable
% 20.22/5.16 |-Branch two:
% 20.22/5.16 | (694) ~ (all_0_112_112 = e12)
% 20.22/5.16 | (713) all_0_112_112 = e10
% 20.22/5.16 |
% 20.22/5.16 | Equations (713) can reduce 967 to:
% 20.22/5.16 | (675) ~ (e13 = e10)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 675 yields:
% 20.22/5.16 | (189) ~ (e13 = e10)
% 20.22/5.16 |
% 20.22/5.16 | Equations (713) can reduce 694 to:
% 20.22/5.16 | (716) ~ (e12 = e10)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 716 yields:
% 20.22/5.16 | (147) ~ (e12 = e10)
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (71), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (718) all_0_114_114 = e10
% 20.22/5.16 |
% 20.22/5.16 | Combining equations (752,718) yields a new equation:
% 20.22/5.16 | (949) e13 = e10
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 949 yields:
% 20.22/5.16 | (950) e13 = e10
% 20.22/5.16 |
% 20.22/5.16 | Equations (950) can reduce 189 to:
% 20.22/5.16 | (392) $false
% 20.22/5.16 |
% 20.22/5.16 |-The branch is then unsatisfiable
% 20.22/5.16 |-Branch two:
% 20.22/5.16 | (715) ~ (all_0_114_114 = e10)
% 20.22/5.16 | (721) all_0_116_116 = e10 | all_0_123_123 = e10
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (225), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (736) all_0_112_112 = e12
% 20.22/5.16 |
% 20.22/5.16 | Combining equations (713,736) yields a new equation:
% 20.22/5.16 | (679) e12 = e10
% 20.22/5.16 |
% 20.22/5.16 | Equations (679) can reduce 147 to:
% 20.22/5.16 | (392) $false
% 20.22/5.16 |
% 20.22/5.16 |-The branch is then unsatisfiable
% 20.22/5.16 |-Branch two:
% 20.22/5.16 | (694) ~ (all_0_112_112 = e12)
% 20.22/5.16 | (1614) all_0_118_118 = e12 | all_0_121_121 = e12
% 20.22/5.16 |
% 20.22/5.16 | Equations (713) can reduce 694 to:
% 20.22/5.16 | (716) ~ (e12 = e10)
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 716 yields:
% 20.22/5.16 | (147) ~ (e12 = e10)
% 20.22/5.16 |
% 20.22/5.16 +-Applying beta-rule and splitting (721), into two cases.
% 20.22/5.16 |-Branch one:
% 20.22/5.16 | (722) all_0_116_116 = e10
% 20.22/5.16 |
% 20.22/5.16 | Combining equations (682,722) yields a new equation:
% 20.22/5.16 | (1004) e12 = e10
% 20.22/5.16 |
% 20.22/5.16 | Simplifying 1004 yields:
% 20.22/5.16 | (679) e12 = e10
% 20.22/5.16 |
% 20.22/5.16 | Equations (679) can reduce 147 to:
% 20.22/5.16 | (392) $false
% 20.22/5.16 |
% 20.22/5.16 |-The branch is then unsatisfiable
% 20.22/5.16 |-Branch two:
% 20.22/5.16 | (725) ~ (all_0_116_116 = e10)
% 20.22/5.17 | (726) all_0_123_123 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (726) can reduce 754 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.22/5.17 |
% 20.22/5.17 | Applying alpha-rule on (757) yields:
% 20.22/5.17 | (718) all_0_114_114 = e10
% 20.22/5.17 | (759) all_0_120_120 = e10
% 20.22/5.17 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.17 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.17 |
% 20.22/5.17 | Equations (759) can reduce 674 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.22/5.17 |
% 20.22/5.17 | Applying alpha-rule on (763) yields:
% 20.22/5.17 | (682) all_0_116_116 = e12
% 20.22/5.17 | (765) all_0_121_121 = e12
% 20.22/5.17 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.17 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.17 |
% 20.22/5.17 | Equations (765) can reduce 208 to:
% 20.22/5.17 | (694) ~ (all_0_112_112 = e12)
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (124), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (713) all_0_112_112 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (713) can reduce 694 to:
% 20.22/5.17 | (716) ~ (e12 = e10)
% 20.22/5.17 |
% 20.22/5.17 | Simplifying 716 yields:
% 20.22/5.17 | (147) ~ (e12 = e10)
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (96), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (759) all_0_120_120 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (759) can reduce 674 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (674) ~ (all_0_120_120 = e10)
% 20.22/5.17 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (1039), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (771) all_0_121_121 = e10
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (771,765) yields a new equation:
% 20.22/5.17 | (679) e12 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (679) can reduce 147 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (1035) ~ (all_0_121_121 = e10)
% 20.22/5.17 | (726) all_0_123_123 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (726) can reduce 754 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (781) ~ (all_0_112_112 = e10)
% 20.22/5.17 | (771) all_0_121_121 = e10
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (765,771) yields a new equation:
% 20.22/5.17 | (1004) e12 = e10
% 20.22/5.17 |
% 20.22/5.17 | Simplifying 1004 yields:
% 20.22/5.17 | (679) e12 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (679) can reduce 147 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.22/5.17 |
% 20.22/5.17 | Applying alpha-rule on (769) yields:
% 20.22/5.17 | (722) all_0_116_116 = e10
% 20.22/5.17 | (771) all_0_121_121 = e10
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (722,682) yields a new equation:
% 20.22/5.17 | (679) e12 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (679) can reduce 147 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.17 |
% 20.22/5.17 | Applying alpha-rule on (774) yields:
% 20.22/5.17 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.17 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.17 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.17 | (702) all_0_122_122 = e11
% 20.22/5.17 | (779) all_0_119_119 = e11
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (972), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (736) all_0_112_112 = e12
% 20.22/5.17 |
% 20.22/5.17 | Equations (736) can reduce 694 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (694) ~ (all_0_112_112 = e12)
% 20.22/5.17 | (713) all_0_112_112 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (713) can reduce 208 to:
% 20.22/5.17 | (1034) ~ (all_0_121_121 = e10)
% 20.22/5.17 |
% 20.22/5.17 | Simplifying 1034 yields:
% 20.22/5.17 | (1035) ~ (all_0_121_121 = e10)
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (96), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (759) all_0_120_120 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (759) can reduce 674 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (674) ~ (all_0_120_120 = e10)
% 20.22/5.17 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (1039), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (771) all_0_121_121 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (771) can reduce 1035 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (1035) ~ (all_0_121_121 = e10)
% 20.22/5.17 | (726) all_0_123_123 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (726) can reduce 754 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (792) ~ (all_0_117_117 = e12)
% 20.22/5.17 | (816) all_0_118_118 = e12 | all_0_119_119 = e12
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (225), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (736) all_0_112_112 = e12
% 20.22/5.17 |
% 20.22/5.17 | Equations (736) can reduce 694 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (694) ~ (all_0_112_112 = e12)
% 20.22/5.17 | (1614) all_0_118_118 = e12 | all_0_121_121 = e12
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (1614), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (824) all_0_118_118 = e12
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (824,821) yields a new equation:
% 20.22/5.17 | (957) e13 = e12
% 20.22/5.17 |
% 20.22/5.17 | Equations (957) can reduce 278 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (1877) ~ (all_0_118_118 = e12)
% 20.22/5.17 | (765) all_0_121_121 = e12
% 20.22/5.17 |
% 20.22/5.17 | Equations (765) can reduce 208 to:
% 20.22/5.17 | (694) ~ (all_0_112_112 = e12)
% 20.22/5.17 |
% 20.22/5.17 | Equations (765) can reduce 5 to:
% 20.22/5.17 | (1001) ~ (all_0_120_120 = e12)
% 20.22/5.17 |
% 20.22/5.17 | Equations (765) can reduce 23 to:
% 20.22/5.17 | (299) ~ (e12 = e11)
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (124), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (713) all_0_112_112 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (713) can reduce 694 to:
% 20.22/5.17 | (716) ~ (e12 = e10)
% 20.22/5.17 |
% 20.22/5.17 | Simplifying 716 yields:
% 20.22/5.17 | (147) ~ (e12 = e10)
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (230), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (730), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (731), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (732), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (733), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (734), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.17 |
% 20.22/5.17 | Applying alpha-rule on (735) yields:
% 20.22/5.17 | (736) all_0_112_112 = e12
% 20.22/5.17 | (678) all_0_115_115 = e12
% 20.22/5.17 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.17 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (678,669) yields a new equation:
% 20.22/5.17 | (1004) e12 = e10
% 20.22/5.17 |
% 20.22/5.17 | Simplifying 1004 yields:
% 20.22/5.17 | (679) e12 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (679) can reduce 147 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.17 |
% 20.22/5.17 | Applying alpha-rule on (742) yields:
% 20.22/5.17 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.17 | (744) all_0_117_117 = e11
% 20.22/5.17 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.17 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.17 | (747) all_0_113_113 = e11
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (747,693) yields a new equation:
% 20.22/5.17 | (749) e12 = e11
% 20.22/5.17 |
% 20.22/5.17 | Equations (749) can reduce 299 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.17 |
% 20.22/5.17 | Applying alpha-rule on (751) yields:
% 20.22/5.17 | (752) all_0_114_114 = e13
% 20.22/5.17 | (753) all_0_120_120 = e13
% 20.22/5.17 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.17 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.17 |
% 20.22/5.17 | Equations (753) can reduce 1001 to:
% 20.22/5.17 | (278) ~ (e13 = e12)
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (327), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (1216) all_0_111_111 = e12
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (834,1216) yields a new equation:
% 20.22/5.17 | (749) e12 = e11
% 20.22/5.17 |
% 20.22/5.17 | Equations (749) can reduce 299 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (1219) ~ (all_0_111_111 = e12)
% 20.22/5.17 | (3481) all_0_115_115 = e12 | all_0_117_117 = e12 | all_0_120_120 = e12
% 20.22/5.17 |
% 20.22/5.17 | Equations (834) can reduce 1219 to:
% 20.22/5.17 | (706) ~ (e12 = e11)
% 20.22/5.17 |
% 20.22/5.17 | Simplifying 706 yields:
% 20.22/5.17 | (299) ~ (e12 = e11)
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (816), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (824) all_0_118_118 = e12
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (824,821) yields a new equation:
% 20.22/5.17 | (957) e13 = e12
% 20.22/5.17 |
% 20.22/5.17 | Equations (957) can reduce 278 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (1877) ~ (all_0_118_118 = e12)
% 20.22/5.17 | (1476) all_0_119_119 = e12
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (779,1476) yields a new equation:
% 20.22/5.17 | (749) e12 = e11
% 20.22/5.17 |
% 20.22/5.17 | Equations (749) can reduce 299 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.22/5.17 |
% 20.22/5.17 | Applying alpha-rule on (757) yields:
% 20.22/5.17 | (718) all_0_114_114 = e10
% 20.22/5.17 | (759) all_0_120_120 = e10
% 20.22/5.17 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.17 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.17 |
% 20.22/5.17 | Equations (759) can reduce 674 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.22/5.17 |
% 20.22/5.17 | Applying alpha-rule on (763) yields:
% 20.22/5.17 | (682) all_0_116_116 = e12
% 20.22/5.17 | (765) all_0_121_121 = e12
% 20.22/5.17 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.17 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (96), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (759) all_0_120_120 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (759) can reduce 674 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (674) ~ (all_0_120_120 = e10)
% 20.22/5.17 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (327), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (1216) all_0_111_111 = e12
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (834,1216) yields a new equation:
% 20.22/5.17 | (749) e12 = e11
% 20.22/5.17 |
% 20.22/5.17 | Equations (749) can reduce 299 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (1219) ~ (all_0_111_111 = e12)
% 20.22/5.17 | (3481) all_0_115_115 = e12 | all_0_117_117 = e12 | all_0_120_120 = e12
% 20.22/5.17 |
% 20.22/5.17 +-Applying beta-rule and splitting (3481), into two cases.
% 20.22/5.17 |-Branch one:
% 20.22/5.17 | (678) all_0_115_115 = e12
% 20.22/5.17 |
% 20.22/5.17 | Combining equations (669,678) yields a new equation:
% 20.22/5.17 | (679) e12 = e10
% 20.22/5.17 |
% 20.22/5.17 | Equations (679) can reduce 147 to:
% 20.22/5.17 | (392) $false
% 20.22/5.17 |
% 20.22/5.17 |-The branch is then unsatisfiable
% 20.22/5.17 |-Branch two:
% 20.22/5.17 | (681) ~ (all_0_115_115 = e12)
% 20.22/5.18 | (3487) all_0_117_117 = e12 | all_0_120_120 = e12
% 20.22/5.18 |
% 20.22/5.18 | Equations (669) can reduce 681 to:
% 20.22/5.18 | (716) ~ (e12 = e10)
% 20.22/5.18 |
% 20.22/5.18 | Simplifying 716 yields:
% 20.22/5.18 | (147) ~ (e12 = e10)
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (1039), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (771) all_0_121_121 = e10
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (771,765) yields a new equation:
% 20.22/5.18 | (679) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (679) can reduce 147 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (1035) ~ (all_0_121_121 = e10)
% 20.22/5.18 | (726) all_0_123_123 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (726) can reduce 754 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.22/5.18 |
% 20.22/5.18 | Applying alpha-rule on (769) yields:
% 20.22/5.18 | (722) all_0_116_116 = e10
% 20.22/5.18 | (771) all_0_121_121 = e10
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (771,765) yields a new equation:
% 20.22/5.18 | (679) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (679) can reduce 147 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.18 |
% 20.22/5.18 | Applying alpha-rule on (774) yields:
% 20.22/5.18 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.18 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.18 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.18 | (702) all_0_122_122 = e11
% 20.22/5.18 | (779) all_0_119_119 = e11
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (96), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (759) all_0_120_120 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (759) can reduce 674 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (674) ~ (all_0_120_120 = e10)
% 20.22/5.18 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (327), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (1216) all_0_111_111 = e12
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (834,1216) yields a new equation:
% 20.22/5.18 | (749) e12 = e11
% 20.22/5.18 |
% 20.22/5.18 | Equations (749) can reduce 299 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (1219) ~ (all_0_111_111 = e12)
% 20.22/5.18 | (3481) all_0_115_115 = e12 | all_0_117_117 = e12 | all_0_120_120 = e12
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (3481), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (678) all_0_115_115 = e12
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (669,678) yields a new equation:
% 20.22/5.18 | (679) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (679) can reduce 147 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (681) ~ (all_0_115_115 = e12)
% 20.22/5.18 | (3487) all_0_117_117 = e12 | all_0_120_120 = e12
% 20.22/5.18 |
% 20.22/5.18 | Equations (669) can reduce 681 to:
% 20.22/5.18 | (716) ~ (e12 = e10)
% 20.22/5.18 |
% 20.22/5.18 | Simplifying 716 yields:
% 20.22/5.18 | (147) ~ (e12 = e10)
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (1039), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (771) all_0_121_121 = e10
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (771,765) yields a new equation:
% 20.22/5.18 | (679) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (679) can reduce 147 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (1035) ~ (all_0_121_121 = e10)
% 20.22/5.18 | (726) all_0_123_123 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (726) can reduce 754 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (781) ~ (all_0_112_112 = e10)
% 20.22/5.18 | (771) all_0_121_121 = e10
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (765,771) yields a new equation:
% 20.22/5.18 | (1004) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Simplifying 1004 yields:
% 20.22/5.18 | (679) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (679) can reduce 147 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (936) ~ (all_0_111_111 = e11)
% 20.22/5.18 | (937) all_0_113_113 = e11 | all_0_114_114 = e11
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (937), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (747) all_0_113_113 = e11
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (747,693) yields a new equation:
% 20.22/5.18 | (749) e12 = e11
% 20.22/5.18 |
% 20.22/5.18 | Equations (749) can reduce 299 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (942) ~ (all_0_113_113 = e11)
% 20.22/5.18 | (802) all_0_114_114 = e11
% 20.22/5.18 |
% 20.22/5.18 | Equations (802) can reduce 805 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (819) ~ (all_0_118_118 = e13)
% 20.22/5.18 | (824) all_0_118_118 = e12
% 20.22/5.18 |
% 20.22/5.18 | Equations (824) can reduce 244 to:
% 20.22/5.18 | (792) ~ (all_0_117_117 = e12)
% 20.22/5.18 |
% 20.22/5.18 | Equations (824) can reduce 212 to:
% 20.22/5.18 | (684) ~ (all_0_119_119 = e12)
% 20.22/5.18 |
% 20.22/5.18 | Simplifying 684 yields:
% 20.22/5.18 | (685) ~ (all_0_119_119 = e12)
% 20.22/5.18 |
% 20.22/5.18 | Equations (824) can reduce 819 to:
% 20.22/5.18 | (1052) ~ (e13 = e12)
% 20.22/5.18 |
% 20.22/5.18 | Simplifying 1052 yields:
% 20.22/5.18 | (278) ~ (e13 = e12)
% 20.22/5.18 |
% 20.22/5.18 | Equations (824) can reduce 290 to:
% 20.22/5.18 | (147) ~ (e12 = e10)
% 20.22/5.18 |
% 20.22/5.18 | From (824) and (67) follows:
% 20.22/5.18 | (1433) h3(e12) = all_0_35_35
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (327), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (1216) all_0_111_111 = e12
% 20.22/5.18 |
% 20.22/5.18 | Equations (1216) can reduce 1219 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (1219) ~ (all_0_111_111 = e12)
% 20.22/5.18 | (3481) all_0_115_115 = e12 | all_0_117_117 = e12 | all_0_120_120 = e12
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (3481), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (678) all_0_115_115 = e12
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (678,669) yields a new equation:
% 20.22/5.18 | (1004) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Simplifying 1004 yields:
% 20.22/5.18 | (679) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (679) can reduce 147 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (681) ~ (all_0_115_115 = e12)
% 20.22/5.18 | (3487) all_0_117_117 = e12 | all_0_120_120 = e12
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (3487), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (813) all_0_117_117 = e12
% 20.22/5.18 |
% 20.22/5.18 | Equations (813) can reduce 792 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (792) ~ (all_0_117_117 = e12)
% 20.22/5.18 | (791) all_0_120_120 = e12
% 20.22/5.18 |
% 20.22/5.18 | Equations (791) can reduce 5 to:
% 20.22/5.18 | (1429) ~ (all_0_121_121 = e12)
% 20.22/5.18 |
% 20.22/5.18 | Simplifying 1429 yields:
% 20.22/5.18 | (1007) ~ (all_0_121_121 = e12)
% 20.22/5.18 |
% 20.22/5.18 | Equations (791) can reduce 35 to:
% 20.22/5.18 | (686) ~ (all_0_123_123 = e12)
% 20.22/5.18 |
% 20.22/5.18 | Simplifying 686 yields:
% 20.22/5.18 | (687) ~ (all_0_123_123 = e12)
% 20.22/5.18 |
% 20.22/5.18 | Equations (791) can reduce 1075 to:
% 20.22/5.18 | (299) ~ (e12 = e11)
% 20.22/5.18 |
% 20.22/5.18 | Equations (791) can reduce 674 to:
% 20.22/5.18 | (147) ~ (e12 = e10)
% 20.22/5.18 |
% 20.22/5.18 | From (791) and (258) follows:
% 20.22/5.18 | (4115) h3(e12) = all_0_37_37
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (230), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (730), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (731), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (732), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (733), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.22/5.18 |
% 20.22/5.18 +-Applying beta-rule and splitting (734), into two cases.
% 20.22/5.18 |-Branch one:
% 20.22/5.18 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.18 |
% 20.22/5.18 | Applying alpha-rule on (735) yields:
% 20.22/5.18 | (736) all_0_112_112 = e12
% 20.22/5.18 | (678) all_0_115_115 = e12
% 20.22/5.18 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.18 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (669,678) yields a new equation:
% 20.22/5.18 | (679) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (679) can reduce 147 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.18 |
% 20.22/5.18 | Applying alpha-rule on (742) yields:
% 20.22/5.18 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.18 | (744) all_0_117_117 = e11
% 20.22/5.18 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.18 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.18 | (747) all_0_113_113 = e11
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (747,693) yields a new equation:
% 20.22/5.18 | (749) e12 = e11
% 20.22/5.18 |
% 20.22/5.18 | Equations (749) can reduce 299 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.18 |
% 20.22/5.18 | Applying alpha-rule on (751) yields:
% 20.22/5.18 | (752) all_0_114_114 = e13
% 20.22/5.18 | (753) all_0_120_120 = e13
% 20.22/5.18 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.18 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (791,753) yields a new equation:
% 20.22/5.18 | (957) e13 = e12
% 20.22/5.18 |
% 20.22/5.18 | Equations (957) can reduce 278 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.22/5.18 |
% 20.22/5.18 | Applying alpha-rule on (757) yields:
% 20.22/5.18 | (718) all_0_114_114 = e10
% 20.22/5.18 | (759) all_0_120_120 = e10
% 20.22/5.18 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.18 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.18 |
% 20.22/5.18 | Combining equations (791,759) yields a new equation:
% 20.22/5.18 | (1004) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Simplifying 1004 yields:
% 20.22/5.18 | (679) e12 = e10
% 20.22/5.18 |
% 20.22/5.18 | Equations (679) can reduce 147 to:
% 20.22/5.18 | (392) $false
% 20.22/5.18 |
% 20.22/5.18 |-The branch is then unsatisfiable
% 20.22/5.18 |-Branch two:
% 20.22/5.18 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.22/5.19 |
% 20.22/5.19 | Applying alpha-rule on (763) yields:
% 20.22/5.19 | (682) all_0_116_116 = e12
% 20.22/5.19 | (765) all_0_121_121 = e12
% 20.22/5.19 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.19 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.19 |
% 20.22/5.19 | Equations (765) can reduce 1007 to:
% 20.22/5.19 | (392) $false
% 20.22/5.19 |
% 20.22/5.19 |-The branch is then unsatisfiable
% 20.22/5.19 |-Branch two:
% 20.22/5.19 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.22/5.19 |
% 20.22/5.19 | Applying alpha-rule on (769) yields:
% 20.22/5.19 | (722) all_0_116_116 = e10
% 20.22/5.19 | (771) all_0_121_121 = e10
% 20.22/5.19 |
% 20.22/5.19 | Combining equations (722,682) yields a new equation:
% 20.22/5.19 | (679) e12 = e10
% 20.22/5.19 |
% 20.22/5.19 | Equations (679) can reduce 147 to:
% 20.22/5.19 | (392) $false
% 20.22/5.19 |
% 20.22/5.19 |-The branch is then unsatisfiable
% 20.22/5.19 |-Branch two:
% 20.22/5.19 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.19 |
% 20.22/5.19 | Applying alpha-rule on (774) yields:
% 20.22/5.19 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.19 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.19 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.19 | (702) all_0_122_122 = e11
% 20.22/5.19 | (779) all_0_119_119 = e11
% 20.22/5.19 |
% 20.22/5.19 | Equations (779) can reduce 359 to:
% 20.22/5.19 | (805) ~ (all_0_114_114 = e11)
% 20.22/5.19 |
% 20.22/5.19 | Equations (779) can reduce 150 to:
% 20.22/5.19 | (704) ~ (all_0_123_123 = e11)
% 20.22/5.19 |
% 20.22/5.19 | Simplifying 704 yields:
% 20.22/5.19 | (705) ~ (all_0_123_123 = e11)
% 20.22/5.19 |
% 20.22/5.19 | Equations (779) can reduce 685 to:
% 20.22/5.19 | (706) ~ (e12 = e11)
% 20.22/5.19 |
% 20.22/5.19 | Simplifying 706 yields:
% 20.22/5.19 | (299) ~ (e12 = e11)
% 20.22/5.19 |
% 20.22/5.19 | From (779) and (133) follows:
% 20.22/5.19 | (1420) h3(e11) = all_0_36_36
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (172), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (834) all_0_111_111 = e11
% 20.22/5.19 |
% 20.22/5.19 | From (834) and (352) follows:
% 20.22/5.19 | (1437) h3(e11) = all_0_28_28
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (224), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (817) all_0_117_117 = e13
% 20.22/5.19 |
% 20.22/5.19 | From (817) and (136) follows:
% 20.22/5.19 | (1424) h3(e13) = all_0_34_34
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (43), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (832) all_0_123_123 = e13
% 20.22/5.19 |
% 20.22/5.19 | Equations (832) can reduce 292 to:
% 20.22/5.19 | (964) ~ (all_0_121_121 = e13)
% 20.22/5.19 |
% 20.22/5.19 | Equations (832) can reduce 705 to:
% 20.22/5.19 | (341) ~ (e13 = e11)
% 20.22/5.19 |
% 20.22/5.19 | Equations (832) can reduce 754 to:
% 20.22/5.19 | (189) ~ (e13 = e10)
% 20.22/5.19 |
% 20.22/5.19 | From (832) and (89) follows:
% 20.22/5.19 | (4182) h3(e13) = all_0_40_40
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (71), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (718) all_0_114_114 = e10
% 20.22/5.19 |
% 20.22/5.19 | Equations (718) can reduce 207 to:
% 20.22/5.19 | (781) ~ (all_0_112_112 = e10)
% 20.22/5.19 |
% 20.22/5.19 | From (718) and (300) follows:
% 20.22/5.19 | (4185) h3(e10) = all_0_31_31
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (124), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (713) all_0_112_112 = e10
% 20.22/5.19 |
% 20.22/5.19 | Equations (713) can reduce 781 to:
% 20.22/5.19 | (392) $false
% 20.22/5.19 |
% 20.22/5.19 |-The branch is then unsatisfiable
% 20.22/5.19 |-Branch two:
% 20.22/5.19 | (781) ~ (all_0_112_112 = e10)
% 20.22/5.19 | (771) all_0_121_121 = e10
% 20.22/5.19 |
% 20.22/5.19 | Equations (771) can reduce 964 to:
% 20.22/5.19 | (675) ~ (e13 = e10)
% 20.22/5.19 |
% 20.22/5.19 | Simplifying 675 yields:
% 20.22/5.19 | (189) ~ (e13 = e10)
% 20.22/5.19 |
% 20.22/5.19 | From (771) and (29) follows:
% 20.22/5.19 | (4192) h3(e10) = all_0_38_38
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (335), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (828) all_0_112_112 = e13
% 20.22/5.19 |
% 20.22/5.19 | From (828) and (164) follows:
% 20.22/5.19 | (4194) h3(e13) = all_0_29_29
% 20.22/5.19 |
% 20.22/5.19 | Instantiating formula (68) with e13, all_0_34_34, e23 and discharging atoms h3(e13) = all_0_34_34, h3(e13) = e23, yields:
% 20.22/5.19 | (1494) all_0_34_34 = e23
% 20.22/5.19 |
% 20.22/5.19 | Instantiating formula (68) with e13, all_0_34_34, all_0_29_29 and discharging atoms h3(e13) = all_0_29_29, h3(e13) = all_0_34_34, yields:
% 20.22/5.19 | (4196) all_0_29_29 = all_0_34_34
% 20.22/5.19 |
% 20.22/5.19 | Instantiating formula (68) with e13, all_0_40_40, all_0_29_29 and discharging atoms h3(e13) = all_0_29_29, h3(e13) = all_0_40_40, yields:
% 20.22/5.19 | (4197) all_0_29_29 = all_0_40_40
% 20.22/5.19 |
% 20.22/5.19 | Instantiating formula (68) with e12, all_0_35_35, e22 and discharging atoms h3(e12) = all_0_35_35, h3(e12) = e22, yields:
% 20.22/5.19 | (1485) all_0_35_35 = e22
% 20.22/5.19 |
% 20.22/5.19 | Instantiating formula (68) with e12, all_0_37_37, all_0_35_35 and discharging atoms h3(e12) = all_0_35_35, h3(e12) = all_0_37_37, yields:
% 20.22/5.19 | (4199) all_0_35_35 = all_0_37_37
% 20.22/5.19 |
% 20.22/5.19 | Instantiating formula (68) with e11, all_0_28_28, e21 and discharging atoms h3(e11) = all_0_28_28, h3(e11) = e21, yields:
% 20.22/5.19 | (1487) all_0_28_28 = e21
% 20.22/5.19 |
% 20.22/5.19 | Instantiating formula (68) with e11, all_0_36_36, all_0_28_28 and discharging atoms h3(e11) = all_0_28_28, h3(e11) = all_0_36_36, yields:
% 20.22/5.19 | (1488) all_0_28_28 = all_0_36_36
% 20.22/5.19 |
% 20.22/5.19 | Instantiating formula (68) with e10, all_0_31_31, e20 and discharging atoms h3(e10) = all_0_31_31, h3(e10) = e20, yields:
% 20.22/5.19 | (4202) all_0_31_31 = e20
% 20.22/5.19 |
% 20.22/5.19 | Instantiating formula (68) with e10, all_0_38_38, all_0_31_31 and discharging atoms h3(e10) = all_0_31_31, h3(e10) = all_0_38_38, yields:
% 20.22/5.19 | (4203) all_0_31_31 = all_0_38_38
% 20.22/5.19 |
% 20.22/5.19 | Combining equations (1487,1488) yields a new equation:
% 20.22/5.19 | (1491) all_0_36_36 = e21
% 20.22/5.19 |
% 20.22/5.19 | Combining equations (4196,4197) yields a new equation:
% 20.22/5.19 | (4205) all_0_34_34 = all_0_40_40
% 20.22/5.19 |
% 20.22/5.19 | Simplifying 4205 yields:
% 20.22/5.19 | (4206) all_0_34_34 = all_0_40_40
% 20.22/5.19 |
% 20.22/5.19 | Combining equations (4203,4202) yields a new equation:
% 20.22/5.19 | (4207) all_0_38_38 = e20
% 20.22/5.19 |
% 20.22/5.19 | Simplifying 4207 yields:
% 20.22/5.19 | (4208) all_0_38_38 = e20
% 20.22/5.19 |
% 20.22/5.19 | Combining equations (1494,4206) yields a new equation:
% 20.22/5.19 | (4209) all_0_40_40 = e23
% 20.22/5.19 |
% 20.22/5.19 | Combining equations (1485,4199) yields a new equation:
% 20.22/5.19 | (4210) all_0_37_37 = e22
% 20.22/5.19 |
% 20.22/5.19 | Combining equations (4210,4199) yields a new equation:
% 20.22/5.19 | (1485) all_0_35_35 = e22
% 20.22/5.19 |
% 20.22/5.19 | Combining equations (4209,4206) yields a new equation:
% 20.22/5.19 | (1494) all_0_34_34 = e23
% 20.22/5.19 |
% 20.22/5.19 | Combining equations (4209,4197) yields a new equation:
% 20.22/5.19 | (4213) all_0_29_29 = e23
% 20.22/5.19 |
% 20.22/5.19 | Combining equations (1491,1488) yields a new equation:
% 20.22/5.19 | (1487) all_0_28_28 = e21
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (92), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (1501) ~ (all_0_28_28 = all_0_98_98)
% 20.22/5.19 |
% 20.22/5.19 | Equations (1487,493) can reduce 1501 to:
% 20.22/5.19 | (392) $false
% 20.22/5.19 |
% 20.22/5.19 |-The branch is then unsatisfiable
% 20.22/5.19 |-Branch two:
% 20.22/5.19 | (1503) all_0_28_28 = all_0_98_98
% 20.22/5.19 | (1504) ~ (all_0_29_29 = all_0_99_99) | ~ (all_0_30_30 = all_0_100_100) | ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (1504), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (1505) ~ (all_0_29_29 = all_0_99_99)
% 20.22/5.19 |
% 20.22/5.19 | Equations (4213,2225) can reduce 1505 to:
% 20.22/5.19 | (392) $false
% 20.22/5.19 |
% 20.22/5.19 |-The branch is then unsatisfiable
% 20.22/5.19 |-Branch two:
% 20.22/5.19 | (1507) all_0_29_29 = all_0_99_99
% 20.22/5.19 | (1508) ~ (all_0_30_30 = all_0_100_100) | ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (1508), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (1509) ~ (all_0_30_30 = all_0_100_100)
% 20.22/5.19 |
% 20.22/5.19 | Equations (1346,407) can reduce 1509 to:
% 20.22/5.19 | (392) $false
% 20.22/5.19 |
% 20.22/5.19 |-The branch is then unsatisfiable
% 20.22/5.19 |-Branch two:
% 20.22/5.19 | (1511) all_0_30_30 = all_0_100_100
% 20.22/5.19 | (1512) ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (1512), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (1513) ~ (all_0_31_31 = all_0_101_101)
% 20.22/5.19 |
% 20.22/5.19 | Equations (4202,443) can reduce 1513 to:
% 20.22/5.19 | (392) $false
% 20.22/5.19 |
% 20.22/5.19 |-The branch is then unsatisfiable
% 20.22/5.19 |-Branch two:
% 20.22/5.19 | (1515) all_0_31_31 = all_0_101_101
% 20.22/5.19 | (1516) ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (1516), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (1517) ~ (all_0_32_32 = all_0_102_102)
% 20.22/5.19 |
% 20.22/5.19 | Equations (3810,391) can reduce 1517 to:
% 20.22/5.19 | (392) $false
% 20.22/5.19 |
% 20.22/5.19 |-The branch is then unsatisfiable
% 20.22/5.19 |-Branch two:
% 20.22/5.19 | (1519) all_0_32_32 = all_0_102_102
% 20.22/5.19 | (1520) ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.19 |
% 20.22/5.19 +-Applying beta-rule and splitting (1520), into two cases.
% 20.22/5.19 |-Branch one:
% 20.22/5.19 | (1521) ~ (all_0_33_33 = all_0_103_103)
% 20.22/5.20 |
% 20.22/5.20 | Equations (3809,449) can reduce 1521 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (1523) all_0_33_33 = all_0_103_103
% 20.22/5.20 | (1524) ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (1524), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (1525) ~ (all_0_34_34 = all_0_104_104)
% 20.22/5.20 |
% 20.22/5.20 | Equations (1494,505) can reduce 1525 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (1527) all_0_34_34 = all_0_104_104
% 20.22/5.20 | (1528) ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (1528), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (1529) ~ (all_0_35_35 = all_0_105_105)
% 20.22/5.20 |
% 20.22/5.20 | Equations (1485,512) can reduce 1529 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (1531) all_0_35_35 = all_0_105_105
% 20.22/5.20 | (1532) ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (1532), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (1533) ~ (all_0_36_36 = all_0_106_106)
% 20.22/5.20 |
% 20.22/5.20 | Equations (1491,464) can reduce 1533 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (1535) all_0_36_36 = all_0_106_106
% 20.22/5.20 | (1536) ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (1536), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (1537) ~ (all_0_37_37 = all_0_107_107)
% 20.22/5.20 |
% 20.22/5.20 | Equations (4210,532) can reduce 1537 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (1539) all_0_37_37 = all_0_107_107
% 20.22/5.20 | (1540) ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (1540), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (1541) ~ (all_0_38_38 = all_0_108_108)
% 20.22/5.20 |
% 20.22/5.20 | Equations (4208,457) can reduce 1541 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (1543) all_0_38_38 = all_0_108_108
% 20.22/5.20 | (1544) ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (1544), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (1545) ~ (all_0_39_39 = all_0_109_109)
% 20.22/5.20 |
% 20.22/5.20 | Equations (1347,462) can reduce 1545 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (1547) all_0_39_39 = all_0_109_109
% 20.22/5.20 | (1548) ~ (all_0_40_40 = all_0_110_110)
% 20.22/5.20 |
% 20.22/5.20 | Equations (4209,2580) can reduce 1548 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.20 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (354), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (828) all_0_112_112 = e13
% 20.22/5.20 |
% 20.22/5.20 | Equations (828) can reduce 967 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.20 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (132), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (1176) all_0_111_111 = e13
% 20.22/5.20 |
% 20.22/5.20 | Combining equations (834,1176) yields a new equation:
% 20.22/5.20 | (1245) e13 = e11
% 20.22/5.20 |
% 20.22/5.20 | Equations (1245) can reduce 341 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.20 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (1179), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (828) all_0_112_112 = e13
% 20.22/5.20 |
% 20.22/5.20 | Equations (828) can reduce 967 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.20 | (752) all_0_114_114 = e13
% 20.22/5.20 |
% 20.22/5.20 | Combining equations (718,752) yields a new equation:
% 20.22/5.20 | (950) e13 = e10
% 20.22/5.20 |
% 20.22/5.20 | Equations (950) can reduce 189 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (715) ~ (all_0_114_114 = e10)
% 20.22/5.20 | (721) all_0_116_116 = e10 | all_0_123_123 = e10
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (721), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (722) all_0_116_116 = e10
% 20.22/5.20 |
% 20.22/5.20 | Combining equations (722,682) yields a new equation:
% 20.22/5.20 | (679) e12 = e10
% 20.22/5.20 |
% 20.22/5.20 | Equations (679) can reduce 147 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (725) ~ (all_0_116_116 = e10)
% 20.22/5.20 | (726) all_0_123_123 = e10
% 20.22/5.20 |
% 20.22/5.20 | Combining equations (832,726) yields a new equation:
% 20.22/5.20 | (949) e13 = e10
% 20.22/5.20 |
% 20.22/5.20 | Simplifying 949 yields:
% 20.22/5.20 | (950) e13 = e10
% 20.22/5.20 |
% 20.22/5.20 | Equations (950) can reduce 189 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (946) ~ (all_0_123_123 = e13)
% 20.22/5.20 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (947), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (1013) all_0_123_123 = e12
% 20.22/5.20 |
% 20.22/5.20 | Equations (1013) can reduce 687 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (687) ~ (all_0_123_123 = e12)
% 20.22/5.20 | (1789) all_0_123_123 = e11 | all_0_123_123 = e10
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (1789), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (726) all_0_123_123 = e10
% 20.22/5.20 |
% 20.22/5.20 | Equations (726) can reduce 754 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.20 | (999) all_0_123_123 = e11
% 20.22/5.20 |
% 20.22/5.20 | Equations (999) can reduce 705 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (978) ~ (all_0_117_117 = e13)
% 20.22/5.20 | (3089) all_0_118_118 = e13 | all_0_119_119 = e13
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (3089), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (821) all_0_118_118 = e13
% 20.22/5.20 |
% 20.22/5.20 | Combining equations (824,821) yields a new equation:
% 20.22/5.20 | (957) e13 = e12
% 20.22/5.20 |
% 20.22/5.20 | Equations (957) can reduce 278 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (819) ~ (all_0_118_118 = e13)
% 20.22/5.20 | (1552) all_0_119_119 = e13
% 20.22/5.20 |
% 20.22/5.20 | Combining equations (779,1552) yields a new equation:
% 20.22/5.20 | (1245) e13 = e11
% 20.22/5.20 |
% 20.22/5.20 | Equations (1245) can reduce 341 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (936) ~ (all_0_111_111 = e11)
% 20.22/5.20 | (937) all_0_113_113 = e11 | all_0_114_114 = e11
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (937), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (747) all_0_113_113 = e11
% 20.22/5.20 |
% 20.22/5.20 | Combining equations (693,747) yields a new equation:
% 20.22/5.20 | (748) e12 = e11
% 20.22/5.20 |
% 20.22/5.20 | Simplifying 748 yields:
% 20.22/5.20 | (749) e12 = e11
% 20.22/5.20 |
% 20.22/5.20 | Equations (749) can reduce 299 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (942) ~ (all_0_113_113 = e11)
% 20.22/5.20 | (802) all_0_114_114 = e11
% 20.22/5.20 |
% 20.22/5.20 | Equations (802) can reduce 805 to:
% 20.22/5.20 | (392) $false
% 20.22/5.20 |
% 20.22/5.20 |-The branch is then unsatisfiable
% 20.22/5.20 |-Branch two:
% 20.22/5.20 | (1297) ~ (all_0_115_115 = e10)
% 20.22/5.20 | (722) all_0_116_116 = e10
% 20.22/5.20 |
% 20.22/5.20 | Equations (722) can reduce 195 to:
% 20.22/5.20 | (715) ~ (all_0_114_114 = e10)
% 20.22/5.20 |
% 20.22/5.20 | Equations (722) can reduce 349 to:
% 20.22/5.20 | (1297) ~ (all_0_115_115 = e10)
% 20.22/5.20 |
% 20.22/5.20 | Equations (722) can reduce 78 to:
% 20.22/5.20 | (799) ~ (all_0_119_119 = e10)
% 20.22/5.20 |
% 20.22/5.20 | Simplifying 799 yields:
% 20.22/5.20 | (159) ~ (all_0_119_119 = e10)
% 20.22/5.20 |
% 20.22/5.20 | Equations (722) can reduce 63 to:
% 20.22/5.20 | (675) ~ (e13 = e10)
% 20.22/5.20 |
% 20.22/5.20 | Simplifying 675 yields:
% 20.22/5.20 | (189) ~ (e13 = e10)
% 20.22/5.20 |
% 20.22/5.20 | From (722) and (226) follows:
% 20.22/5.20 | (1307) h1(e10) = all_0_78_78
% 20.22/5.20 |
% 20.22/5.20 | From (722) and (315) follows:
% 20.22/5.20 | (4329) h4(e10) = all_0_12_12
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (326), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (678) all_0_115_115 = e12
% 20.22/5.20 |
% 20.22/5.20 | Equations (678) can reduce 286 to:
% 20.22/5.20 | (1219) ~ (all_0_111_111 = e12)
% 20.22/5.20 |
% 20.22/5.20 | Equations (678) can reduce 152 to:
% 20.22/5.20 | (1311) ~ (all_0_117_117 = e12)
% 20.22/5.20 |
% 20.22/5.20 | Simplifying 1311 yields:
% 20.22/5.20 | (792) ~ (all_0_117_117 = e12)
% 20.22/5.20 |
% 20.22/5.20 | Equations (678) can reduce 256 to:
% 20.22/5.20 | (1313) ~ (all_0_120_120 = e12)
% 20.22/5.20 |
% 20.22/5.20 | Simplifying 1313 yields:
% 20.22/5.20 | (1001) ~ (all_0_120_120 = e12)
% 20.22/5.20 |
% 20.22/5.20 | Equations (678) can reduce 255 to:
% 20.22/5.20 | (299) ~ (e12 = e11)
% 20.22/5.20 |
% 20.22/5.20 | From (678) and (119) follows:
% 20.22/5.20 | (1315) h1(e12) = all_0_75_75
% 20.22/5.20 |
% 20.22/5.20 | From (678) and (216) follows:
% 20.22/5.20 | (4338) h4(e12) = all_0_9_9
% 20.22/5.20 |
% 20.22/5.20 | Instantiating formula (154) with e12, all_0_75_75, e20 and discharging atoms h1(e12) = all_0_75_75, h1(e12) = e20, yields:
% 20.22/5.20 | (1317) all_0_75_75 = e20
% 20.22/5.20 |
% 20.22/5.20 | Instantiating formula (154) with e10, all_0_78_78, e21 and discharging atoms h1(e10) = all_0_78_78, h1(e10) = e21, yields:
% 20.22/5.20 | (1318) all_0_78_78 = e21
% 20.22/5.20 |
% 20.22/5.20 | Instantiating formula (32) with e12, all_0_9_9, e23 and discharging atoms h4(e12) = all_0_9_9, h4(e12) = e23, yields:
% 20.22/5.20 | (4341) all_0_9_9 = e23
% 20.22/5.20 |
% 20.22/5.20 | Instantiating formula (32) with e10, all_0_12_12, e20 and discharging atoms h4(e10) = all_0_12_12, h4(e10) = e20, yields:
% 20.22/5.20 | (4342) all_0_12_12 = e20
% 20.22/5.20 |
% 20.22/5.20 | From (1317) and (1315) follows:
% 20.22/5.20 | (199) h1(e12) = e20
% 20.22/5.20 |
% 20.22/5.20 | From (1318) and (1307) follows:
% 20.22/5.20 | (592) h1(e10) = e21
% 20.22/5.20 |
% 20.22/5.20 | From (4341) and (4338) follows:
% 20.22/5.20 | (176) h4(e12) = e23
% 20.22/5.20 |
% 20.22/5.20 | From (4342) and (4329) follows:
% 20.22/5.20 | (594) h4(e10) = e20
% 20.22/5.20 |
% 20.22/5.20 +-Applying beta-rule and splitting (124), into two cases.
% 20.22/5.20 |-Branch one:
% 20.22/5.20 | (713) all_0_112_112 = e10
% 20.22/5.20 |
% 20.22/5.20 | Equations (713) can reduce 24 to:
% 20.22/5.20 | (670) ~ (all_0_111_111 = e10)
% 20.22/5.20 |
% 20.22/5.20 | Equations (713) can reduce 207 to:
% 20.22/5.20 | (714) ~ (all_0_114_114 = e10)
% 20.22/5.20 |
% 20.22/5.20 | Simplifying 714 yields:
% 20.22/5.21 | (715) ~ (all_0_114_114 = e10)
% 20.22/5.21 |
% 20.22/5.21 | Equations (713) can reduce 46 to:
% 20.22/5.21 | (1032) ~ (all_0_118_118 = e10)
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 1032 yields:
% 20.22/5.21 | (290) ~ (all_0_118_118 = e10)
% 20.22/5.21 |
% 20.22/5.21 | Equations (713) can reduce 694 to:
% 20.22/5.21 | (716) ~ (e12 = e10)
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 716 yields:
% 20.22/5.21 | (147) ~ (e12 = e10)
% 20.22/5.21 |
% 20.22/5.21 | From (713) and (17) follows:
% 20.22/5.21 | (4355) h4(e10) = all_0_3_3
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (96), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (759) all_0_120_120 = e10
% 20.22/5.21 |
% 20.22/5.21 | Equations (759) can reduce 303 to:
% 20.22/5.21 | (219) ~ (all_0_117_117 = e10)
% 20.22/5.21 |
% 20.22/5.21 | Equations (759) can reduce 5 to:
% 20.22/5.21 | (1034) ~ (all_0_121_121 = e10)
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 1034 yields:
% 20.22/5.21 | (1035) ~ (all_0_121_121 = e10)
% 20.22/5.21 |
% 20.22/5.21 | Equations (759) can reduce 1001 to:
% 20.22/5.21 | (716) ~ (e12 = e10)
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 716 yields:
% 20.22/5.21 | (147) ~ (e12 = e10)
% 20.22/5.21 |
% 20.22/5.21 | From (759) and (127) follows:
% 20.22/5.21 | (4362) h4(e10) = all_0_21_21
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (230), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (730), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (731), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (732), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (733), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (734), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.21 |
% 20.22/5.21 | Applying alpha-rule on (735) yields:
% 20.22/5.21 | (736) all_0_112_112 = e12
% 20.22/5.21 | (678) all_0_115_115 = e12
% 20.22/5.21 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.21 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (713,736) yields a new equation:
% 20.22/5.21 | (679) e12 = e10
% 20.22/5.21 |
% 20.22/5.21 | Equations (679) can reduce 147 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.22/5.21 |
% 20.22/5.21 | Applying alpha-rule on (742) yields:
% 20.22/5.21 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.22/5.21 | (744) all_0_117_117 = e11
% 20.22/5.21 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.21 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.21 | (747) all_0_113_113 = e11
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (747,693) yields a new equation:
% 20.22/5.21 | (749) e12 = e11
% 20.22/5.21 |
% 20.22/5.21 | Equations (749) can reduce 299 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.21 |
% 20.22/5.21 | Applying alpha-rule on (751) yields:
% 20.22/5.21 | (752) all_0_114_114 = e13
% 20.22/5.21 | (753) all_0_120_120 = e13
% 20.22/5.21 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.21 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (753,759) yields a new equation:
% 20.22/5.21 | (949) e13 = e10
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 949 yields:
% 20.22/5.21 | (950) e13 = e10
% 20.22/5.21 |
% 20.22/5.21 | Equations (950) can reduce 189 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.22/5.21 |
% 20.22/5.21 | Applying alpha-rule on (757) yields:
% 20.22/5.21 | (718) all_0_114_114 = e10
% 20.22/5.21 | (759) all_0_120_120 = e10
% 20.22/5.21 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.21 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.22/5.21 |
% 20.22/5.21 | Equations (718) can reduce 715 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.22/5.21 |
% 20.22/5.21 | Applying alpha-rule on (763) yields:
% 20.22/5.21 | (682) all_0_116_116 = e12
% 20.22/5.21 | (765) all_0_121_121 = e12
% 20.22/5.21 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.21 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (682,722) yields a new equation:
% 20.22/5.21 | (1004) e12 = e10
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 1004 yields:
% 20.22/5.21 | (679) e12 = e10
% 20.22/5.21 |
% 20.22/5.21 | Equations (679) can reduce 147 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.22/5.21 |
% 20.22/5.21 | Applying alpha-rule on (769) yields:
% 20.22/5.21 | (722) all_0_116_116 = e10
% 20.22/5.21 | (771) all_0_121_121 = e10
% 20.22/5.21 |
% 20.22/5.21 | Equations (771) can reduce 1035 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.22/5.21 |
% 20.22/5.21 | Applying alpha-rule on (774) yields:
% 20.22/5.21 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.22/5.21 | (754) ~ (all_0_123_123 = e10)
% 20.22/5.21 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.22/5.21 | (702) all_0_122_122 = e11
% 20.22/5.21 | (779) all_0_119_119 = e11
% 20.22/5.21 |
% 20.22/5.21 | Equations (779) can reduce 91 to:
% 20.22/5.21 | (982) ~ (all_0_117_117 = e11)
% 20.22/5.21 |
% 20.22/5.21 | Equations (779) can reduce 159 to:
% 20.22/5.21 | (284) ~ (e11 = e10)
% 20.22/5.21 |
% 20.22/5.21 | From (779) and (254) follows:
% 20.22/5.21 | (812) h4(e11) = all_0_19_19
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (123), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (817) all_0_117_117 = e13
% 20.22/5.21 |
% 20.22/5.21 | Equations (817) can reduce 167 to:
% 20.22/5.21 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.21 |
% 20.22/5.21 | Equations (817) can reduce 244 to:
% 20.22/5.21 | (818) ~ (all_0_118_118 = e13)
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 818 yields:
% 20.22/5.21 | (819) ~ (all_0_118_118 = e13)
% 20.22/5.21 |
% 20.22/5.21 | Equations (817) can reduce 219 to:
% 20.22/5.21 | (189) ~ (e13 = e10)
% 20.22/5.21 |
% 20.22/5.21 | From (817) and (75) follows:
% 20.22/5.21 | (820) h4(e13) = all_0_14_14
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (321), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (821) all_0_118_118 = e13
% 20.22/5.21 |
% 20.22/5.21 | Equations (821) can reduce 819 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (819) ~ (all_0_118_118 = e13)
% 20.22/5.21 | (824) all_0_118_118 = e12
% 20.22/5.21 |
% 20.22/5.21 | Equations (824) can reduce 819 to:
% 20.22/5.21 | (1052) ~ (e13 = e12)
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 1052 yields:
% 20.22/5.21 | (278) ~ (e13 = e12)
% 20.22/5.21 |
% 20.22/5.21 | Equations (824) can reduce 290 to:
% 20.22/5.21 | (147) ~ (e12 = e10)
% 20.22/5.21 |
% 20.22/5.21 | From (824) and (317) follows:
% 20.22/5.21 | (827) h4(e12) = all_0_16_16
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (132), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (1176) all_0_111_111 = e13
% 20.22/5.21 |
% 20.22/5.21 | Equations (1176) can reduce 738 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (738) ~ (all_0_111_111 = e13)
% 20.22/5.21 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (354), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (828) all_0_112_112 = e13
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (713,828) yields a new equation:
% 20.22/5.21 | (950) e13 = e10
% 20.22/5.21 |
% 20.22/5.21 | Equations (950) can reduce 189 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.21 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (155), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (834) all_0_111_111 = e11
% 20.22/5.21 |
% 20.22/5.21 | Equations (834) can reduce 1219 to:
% 20.22/5.21 | (706) ~ (e12 = e11)
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 706 yields:
% 20.22/5.21 | (299) ~ (e12 = e11)
% 20.22/5.21 |
% 20.22/5.21 | From (834) and (314) follows:
% 20.22/5.21 | (835) h4(e11) = all_0_1_1
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (968), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (821) all_0_118_118 = e13
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (821,824) yields a new equation:
% 20.22/5.21 | (1969) e13 = e12
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 1969 yields:
% 20.22/5.21 | (957) e13 = e12
% 20.22/5.21 |
% 20.22/5.21 | Equations (957) can reduce 278 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (819) ~ (all_0_118_118 = e13)
% 20.22/5.21 | (961) all_0_121_121 = e13
% 20.22/5.21 |
% 20.22/5.21 | Equations (961) can reduce 1035 to:
% 20.22/5.21 | (189) ~ (e13 = e10)
% 20.22/5.21 |
% 20.22/5.21 | From (961) and (331) follows:
% 20.22/5.21 | (4452) h4(e13) = all_0_23_23
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (264), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (752) all_0_114_114 = e13
% 20.22/5.21 |
% 20.22/5.21 | Equations (752) can reduce 683 to:
% 20.22/5.21 | (278) ~ (e13 = e12)
% 20.22/5.21 |
% 20.22/5.21 | From (752) and (318) follows:
% 20.22/5.21 | (4455) h4(e13) = all_0_7_7
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (337), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (791) all_0_120_120 = e12
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (759,791) yields a new equation:
% 20.22/5.21 | (679) e12 = e10
% 20.22/5.21 |
% 20.22/5.21 | Equations (679) can reduce 147 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (1001) ~ (all_0_120_120 = e12)
% 20.22/5.21 | (1002) all_0_121_121 = e12 | all_0_122_122 = e12 | all_0_123_123 = e12
% 20.22/5.21 |
% 20.22/5.21 | Equations (759) can reduce 1001 to:
% 20.22/5.21 | (716) ~ (e12 = e10)
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 716 yields:
% 20.22/5.21 | (147) ~ (e12 = e10)
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (52), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (1465) all_0_114_114 = e12
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (1465,752) yields a new equation:
% 20.22/5.21 | (957) e13 = e12
% 20.22/5.21 |
% 20.22/5.21 | Equations (957) can reduce 278 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (683) ~ (all_0_114_114 = e12)
% 20.22/5.21 | (1469) all_0_116_116 = e12 | all_0_119_119 = e12 | all_0_123_123 = e12
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (1469), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (682) all_0_116_116 = e12
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (682,722) yields a new equation:
% 20.22/5.21 | (1004) e12 = e10
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 1004 yields:
% 20.22/5.21 | (679) e12 = e10
% 20.22/5.21 |
% 20.22/5.21 | Equations (679) can reduce 147 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (1474) ~ (all_0_116_116 = e12)
% 20.22/5.21 | (1475) all_0_119_119 = e12 | all_0_123_123 = e12
% 20.22/5.21 |
% 20.22/5.21 +-Applying beta-rule and splitting (1475), into two cases.
% 20.22/5.21 |-Branch one:
% 20.22/5.21 | (1476) all_0_119_119 = e12
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (1476,779) yields a new equation:
% 20.22/5.21 | (748) e12 = e11
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 748 yields:
% 20.22/5.21 | (749) e12 = e11
% 20.22/5.21 |
% 20.22/5.21 | Equations (749) can reduce 299 to:
% 20.22/5.21 | (392) $false
% 20.22/5.21 |
% 20.22/5.21 |-The branch is then unsatisfiable
% 20.22/5.21 |-Branch two:
% 20.22/5.21 | (685) ~ (all_0_119_119 = e12)
% 20.22/5.21 | (1013) all_0_123_123 = e12
% 20.22/5.21 |
% 20.22/5.21 | From (1013) and (249) follows:
% 20.22/5.21 | (4480) h4(e12) = all_0_27_27
% 20.22/5.21 |
% 20.22/5.21 | Instantiating formula (32) with e13, all_0_14_14, e22 and discharging atoms h4(e13) = all_0_14_14, h4(e13) = e22, yields:
% 20.22/5.21 | (836) all_0_14_14 = e22
% 20.22/5.21 |
% 20.22/5.21 | Instantiating formula (32) with e13, all_0_14_14, all_0_7_7 and discharging atoms h4(e13) = all_0_7_7, h4(e13) = all_0_14_14, yields:
% 20.22/5.21 | (4482) all_0_7_7 = all_0_14_14
% 20.22/5.21 |
% 20.22/5.21 | Instantiating formula (32) with e13, all_0_23_23, all_0_7_7 and discharging atoms h4(e13) = all_0_7_7, h4(e13) = all_0_23_23, yields:
% 20.22/5.21 | (844) all_0_7_7 = all_0_23_23
% 20.22/5.21 |
% 20.22/5.21 | Instantiating formula (32) with e12, all_0_16_16, e23 and discharging atoms h4(e12) = all_0_16_16, h4(e12) = e23, yields:
% 20.22/5.21 | (839) all_0_16_16 = e23
% 20.22/5.21 |
% 20.22/5.21 | Instantiating formula (32) with e12, all_0_27_27, all_0_16_16 and discharging atoms h4(e12) = all_0_16_16, h4(e12) = all_0_27_27, yields:
% 20.22/5.21 | (4485) all_0_16_16 = all_0_27_27
% 20.22/5.21 |
% 20.22/5.21 | Instantiating formula (32) with e11, all_0_1_1, e21 and discharging atoms h4(e11) = all_0_1_1, h4(e11) = e21, yields:
% 20.22/5.21 | (841) all_0_1_1 = e21
% 20.22/5.21 |
% 20.22/5.21 | Instantiating formula (32) with e11, all_0_19_19, all_0_1_1 and discharging atoms h4(e11) = all_0_1_1, h4(e11) = all_0_19_19, yields:
% 20.22/5.21 | (842) all_0_1_1 = all_0_19_19
% 20.22/5.21 |
% 20.22/5.21 | Instantiating formula (32) with e10, all_0_3_3, e20 and discharging atoms h4(e10) = all_0_3_3, h4(e10) = e20, yields:
% 20.22/5.21 | (4488) all_0_3_3 = e20
% 20.22/5.21 |
% 20.22/5.21 | Instantiating formula (32) with e10, all_0_21_21, all_0_3_3 and discharging atoms h4(e10) = all_0_3_3, h4(e10) = all_0_21_21, yields:
% 20.22/5.21 | (4489) all_0_3_3 = all_0_21_21
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (842,841) yields a new equation:
% 20.22/5.21 | (4490) all_0_19_19 = e21
% 20.22/5.21 |
% 20.22/5.21 | Simplifying 4490 yields:
% 20.22/5.21 | (845) all_0_19_19 = e21
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (4488,4489) yields a new equation:
% 20.22/5.21 | (4492) all_0_21_21 = e20
% 20.22/5.21 |
% 20.22/5.21 | Combining equations (4482,844) yields a new equation:
% 20.22/5.21 | (4493) all_0_14_14 = all_0_23_23
% 20.22/5.21 |
% 20.22/5.22 | Simplifying 4493 yields:
% 20.22/5.22 | (4494) all_0_14_14 = all_0_23_23
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (836,4494) yields a new equation:
% 20.22/5.22 | (4495) all_0_23_23 = e22
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (839,4485) yields a new equation:
% 20.22/5.22 | (4496) all_0_27_27 = e23
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (4496,4485) yields a new equation:
% 20.22/5.22 | (839) all_0_16_16 = e23
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (4495,4494) yields a new equation:
% 20.22/5.22 | (836) all_0_14_14 = e22
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (4495,844) yields a new equation:
% 20.22/5.22 | (4499) all_0_7_7 = e22
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (4492,4489) yields a new equation:
% 20.22/5.22 | (4488) all_0_3_3 = e20
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (342), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (856) ~ (all_0_0_0 = all_0_1_1)
% 20.22/5.22 |
% 20.22/5.22 | Equations (637,841) can reduce 856 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (858) all_0_0_0 = all_0_1_1
% 20.22/5.22 | (859) ~ (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_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (859), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (860) ~ (all_0_2_2 = all_0_3_3)
% 20.22/5.22 |
% 20.22/5.22 | Equations (2639,4488) can reduce 860 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (862) all_0_2_2 = all_0_3_3
% 20.22/5.22 | (863) ~ (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_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (863), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (864) ~ (all_0_4_4 = all_0_5_5)
% 20.22/5.22 |
% 20.22/5.22 | Equations (638,709) can reduce 864 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (866) all_0_4_4 = all_0_5_5
% 20.22/5.22 | (867) ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (867), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (868) ~ (all_0_6_6 = all_0_7_7)
% 20.22/5.22 |
% 20.22/5.22 | Equations (2645,4499) can reduce 868 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (870) all_0_6_6 = all_0_7_7
% 20.22/5.22 | (871) ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (871), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (872) ~ (all_0_8_8 = all_0_9_9)
% 20.22/5.22 |
% 20.22/5.22 | Equations (2635,4341) can reduce 872 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (874) all_0_8_8 = all_0_9_9
% 20.22/5.22 | (875) ~ (all_0_10_10 = all_0_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (875), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (876) ~ (all_0_10_10 = all_0_94_94)
% 20.22/5.22 |
% 20.22/5.22 | Equations (590,563) can reduce 876 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (364) all_0_10_10 = all_0_94_94
% 20.22/5.22 | (879) ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (590,364) yields a new equation:
% 20.22/5.22 | (563) all_0_94_94 = e22
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (879), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (882) ~ (all_0_11_11 = all_0_12_12)
% 20.22/5.22 |
% 20.22/5.22 | Equations (2638,4342) can reduce 882 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (884) all_0_11_11 = all_0_12_12
% 20.22/5.22 | (885) ~ (all_0_13_13 = all_0_14_14) | ~ (all_0_15_15 = all_0_16_16) | ~ (all_0_17_17 = all_0_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (885), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (886) ~ (all_0_13_13 = all_0_14_14)
% 20.22/5.22 |
% 20.22/5.22 | Equations (642,836) can reduce 886 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (888) all_0_13_13 = all_0_14_14
% 20.22/5.22 | (889) ~ (all_0_15_15 = all_0_16_16) | ~ (all_0_17_17 = all_0_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (889), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (890) ~ (all_0_15_15 = all_0_16_16)
% 20.22/5.22 |
% 20.22/5.22 | Equations (568,839) can reduce 890 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (892) all_0_15_15 = all_0_16_16
% 20.22/5.22 | (893) ~ (all_0_17_17 = all_0_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (893), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (894) ~ (all_0_17_17 = all_0_95_95)
% 20.22/5.22 |
% 20.22/5.22 | Equations (589,585) can reduce 894 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (360) all_0_17_17 = all_0_95_95
% 20.22/5.22 | (897) ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (360,589) yields a new equation:
% 20.22/5.22 | (584) all_0_95_95 = e20
% 20.22/5.22 |
% 20.22/5.22 | Simplifying 584 yields:
% 20.22/5.22 | (585) all_0_95_95 = e20
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (897), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (900) ~ (all_0_18_18 = all_0_19_19)
% 20.22/5.22 |
% 20.22/5.22 | Equations (645,845) can reduce 900 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (902) all_0_18_18 = all_0_19_19
% 20.22/5.22 | (903) ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (903), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (904) ~ (all_0_20_20 = all_0_21_21)
% 20.22/5.22 |
% 20.22/5.22 | Equations (2654,4492) can reduce 904 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (906) all_0_20_20 = all_0_21_21
% 20.22/5.22 | (907) ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (907), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (908) ~ (all_0_22_22 = all_0_23_23)
% 20.22/5.22 |
% 20.22/5.22 | Equations (2653,4495) can reduce 908 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (910) all_0_22_22 = all_0_23_23
% 20.22/5.22 | (911) ~ (all_0_24_24 = all_0_25_25) | ~ (all_0_26_26 = all_0_27_27) | ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (911), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (912) ~ (all_0_24_24 = all_0_25_25)
% 20.22/5.22 |
% 20.22/5.22 | Equations (650,710) can reduce 912 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (914) all_0_24_24 = all_0_25_25
% 20.22/5.22 | (915) ~ (all_0_26_26 = all_0_27_27) | ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (915), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (916) ~ (all_0_26_26 = all_0_27_27)
% 20.22/5.22 |
% 20.22/5.22 | Equations (2658,4496) can reduce 916 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (918) all_0_26_26 = all_0_27_27
% 20.22/5.22 | (919) ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (919), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (920) ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21))
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (920), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (921) ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)
% 20.22/5.22 |
% 20.22/5.22 | Applying alpha-rule on (921) yields:
% 20.22/5.22 | (922) ~ (all_0_94_94 = e22)
% 20.22/5.22 | (923) ~ (all_0_95_95 = e22)
% 20.22/5.22 | (395) ~ (all_0_98_98 = e22)
% 20.22/5.22 |
% 20.22/5.22 | Equations (563) can reduce 922 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (926) ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)
% 20.22/5.22 |
% 20.22/5.22 | Applying alpha-rule on (926) yields:
% 20.22/5.22 | (927) ~ (all_0_94_94 = e21)
% 20.22/5.22 | (928) ~ (all_0_95_95 = e21)
% 20.22/5.22 | (929) ~ (all_0_98_98 = e21)
% 20.22/5.22 |
% 20.22/5.22 | Equations (493) can reduce 929 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (931) ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20)
% 20.22/5.22 |
% 20.22/5.22 | Applying alpha-rule on (931) yields:
% 20.22/5.22 | (932) ~ (all_0_94_94 = e20)
% 20.22/5.22 | (933) ~ (all_0_95_95 = e20)
% 20.22/5.22 | (377) ~ (all_0_98_98 = e20)
% 20.22/5.22 |
% 20.22/5.22 | Equations (585) can reduce 933 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (952) ~ (all_0_114_114 = e13)
% 20.22/5.22 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (266), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (752) all_0_114_114 = e13
% 20.22/5.22 |
% 20.22/5.22 | Equations (752) can reduce 952 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (952) ~ (all_0_114_114 = e13)
% 20.22/5.22 | (3336) all_0_114_114 = e12 | all_0_114_114 = e11 | all_0_114_114 = e10
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (1179), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (828) all_0_112_112 = e13
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (713,828) yields a new equation:
% 20.22/5.22 | (950) e13 = e10
% 20.22/5.22 |
% 20.22/5.22 | Equations (950) can reduce 189 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (967) ~ (all_0_112_112 = e13)
% 20.22/5.22 | (752) all_0_114_114 = e13
% 20.22/5.22 |
% 20.22/5.22 | Equations (752) can reduce 952 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (936) ~ (all_0_111_111 = e11)
% 20.22/5.22 | (1577) all_0_117_117 = e11 | all_0_120_120 = e11
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (968), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (821) all_0_118_118 = e13
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (821,824) yields a new equation:
% 20.22/5.22 | (1969) e13 = e12
% 20.22/5.22 |
% 20.22/5.22 | Simplifying 1969 yields:
% 20.22/5.22 | (957) e13 = e12
% 20.22/5.22 |
% 20.22/5.22 | Equations (957) can reduce 278 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (819) ~ (all_0_118_118 = e13)
% 20.22/5.22 | (961) all_0_121_121 = e13
% 20.22/5.22 |
% 20.22/5.22 | Equations (961) can reduce 23 to:
% 20.22/5.22 | (341) ~ (e13 = e11)
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (1577), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (744) all_0_117_117 = e11
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (817,744) yields a new equation:
% 20.22/5.22 | (1244) e13 = e11
% 20.22/5.22 |
% 20.22/5.22 | Simplifying 1244 yields:
% 20.22/5.22 | (1245) e13 = e11
% 20.22/5.22 |
% 20.22/5.22 | Equations (1245) can reduce 341 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (982) ~ (all_0_117_117 = e11)
% 20.22/5.22 | (1079) all_0_120_120 = e11
% 20.22/5.22 |
% 20.22/5.22 | Combining equations (1079,759) yields a new equation:
% 20.22/5.22 | (1095) e11 = e10
% 20.22/5.22 |
% 20.22/5.22 | Simplifying 1095 yields:
% 20.22/5.22 | (803) e11 = e10
% 20.22/5.22 |
% 20.22/5.22 | Equations (803) can reduce 284 to:
% 20.22/5.22 | (392) $false
% 20.22/5.22 |
% 20.22/5.22 |-The branch is then unsatisfiable
% 20.22/5.22 |-Branch two:
% 20.22/5.22 | (978) ~ (all_0_117_117 = e13)
% 20.22/5.22 | (979) all_0_117_117 = e12 | all_0_117_117 = e11
% 20.22/5.22 |
% 20.22/5.22 +-Applying beta-rule and splitting (979), into two cases.
% 20.22/5.22 |-Branch one:
% 20.22/5.22 | (813) all_0_117_117 = e12
% 20.22/5.22 |
% 20.22/5.22 | Equations (813) can reduce 792 to:
% 20.22/5.23 | (392) $false
% 20.22/5.23 |
% 20.22/5.23 |-The branch is then unsatisfiable
% 20.22/5.23 |-Branch two:
% 20.22/5.23 | (792) ~ (all_0_117_117 = e12)
% 20.22/5.23 | (744) all_0_117_117 = e11
% 20.22/5.23 |
% 20.22/5.23 | Equations (744) can reduce 982 to:
% 20.22/5.23 | (392) $false
% 20.22/5.23 |
% 20.22/5.23 |-The branch is then unsatisfiable
% 20.22/5.23 |-Branch two:
% 20.22/5.23 | (674) ~ (all_0_120_120 = e10)
% 20.22/5.23 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 20.22/5.23 |
% 20.22/5.23 +-Applying beta-rule and splitting (83), into two cases.
% 20.22/5.23 |-Branch one:
% 20.22/5.23 | (787) all_0_111_111 = e10
% 20.22/5.23 |
% 20.22/5.23 | Equations (787) can reduce 670 to:
% 20.22/5.23 | (392) $false
% 20.22/5.23 |
% 20.22/5.23 |-The branch is then unsatisfiable
% 20.22/5.23 |-Branch two:
% 20.22/5.23 | (670) ~ (all_0_111_111 = e10)
% 20.22/5.23 | (1859) all_0_115_115 = e10 | all_0_120_120 = e10
% 20.22/5.23 |
% 20.22/5.23 +-Applying beta-rule and splitting (1859), into two cases.
% 20.22/5.23 |-Branch one:
% 20.22/5.23 | (669) all_0_115_115 = e10
% 20.22/5.23 |
% 20.22/5.23 | Combining equations (669,678) yields a new equation:
% 20.22/5.23 | (679) e12 = e10
% 20.22/5.23 |
% 20.22/5.23 | Equations (679) can reduce 147 to:
% 20.22/5.23 | (392) $false
% 20.22/5.23 |
% 20.22/5.23 |-The branch is then unsatisfiable
% 20.22/5.23 |-Branch two:
% 20.22/5.23 | (1297) ~ (all_0_115_115 = e10)
% 20.22/5.23 | (759) all_0_120_120 = e10
% 20.22/5.23 |
% 20.22/5.23 | Equations (759) can reduce 674 to:
% 20.22/5.23 | (392) $false
% 20.22/5.23 |
% 20.22/5.23 |-The branch is then unsatisfiable
% 20.22/5.23 |-Branch two:
% 20.22/5.23 | (781) ~ (all_0_112_112 = e10)
% 20.22/5.23 | (771) all_0_121_121 = e10
% 20.22/5.23 |
% 20.22/5.23 | Equations (771) can reduce 208 to:
% 20.22/5.23 | (781) ~ (all_0_112_112 = e10)
% 20.22/5.23 |
% 20.22/5.23 | Equations (771) can reduce 14 to:
% 20.22/5.23 | (290) ~ (all_0_118_118 = e10)
% 20.22/5.23 |
% 20.22/5.23 | From (771) and (162) follows:
% 20.22/5.23 | (1610) h1(e10) = all_0_89_89
% 20.22/5.23 |
% 20.22/5.23 +-Applying beta-rule and splitting (50), into two cases.
% 20.22/5.23 |-Branch one:
% 20.22/5.23 | (787) all_0_111_111 = e10
% 20.22/5.23 |
% 20.22/5.23 | Equations (787) can reduce 24 to:
% 20.22/5.23 | (2019) ~ (all_0_112_112 = e10)
% 20.22/5.23 |
% 20.22/5.23 | Simplifying 2019 yields:
% 20.22/5.23 | (781) ~ (all_0_112_112 = e10)
% 20.22/5.23 |
% 20.22/5.23 | Equations (787) can reduce 167 to:
% 20.22/5.23 | (671) ~ (all_0_117_117 = e10)
% 20.22/5.23 |
% 20.22/5.23 | Simplifying 671 yields:
% 20.22/5.23 | (219) ~ (all_0_117_117 = e10)
% 20.22/5.23 |
% 20.22/5.23 | From (787) and (222) follows:
% 20.22/5.23 | (1629) h1(e10) = all_0_67_67
% 20.22/5.23 |
% 20.22/5.23 +-Applying beta-rule and splitting (225), into two cases.
% 20.22/5.23 |-Branch one:
% 20.22/5.23 | (736) all_0_112_112 = e12
% 20.22/5.23 |
% 20.22/5.23 | Equations (736) can reduce 694 to:
% 20.22/5.23 | (392) $false
% 20.22/5.23 |
% 20.22/5.23 |-The branch is then unsatisfiable
% 20.22/5.23 |-Branch two:
% 20.22/5.23 | (694) ~ (all_0_112_112 = e12)
% 20.22/5.23 | (1614) all_0_118_118 = e12 | all_0_121_121 = e12
% 20.22/5.23 |
% 20.22/5.23 +-Applying beta-rule and splitting (337), into two cases.
% 20.22/5.23 |-Branch one:
% 20.22/5.23 | (791) all_0_120_120 = e12
% 20.22/5.23 |
% 20.22/5.23 | Equations (791) can reduce 1001 to:
% 20.22/5.23 | (392) $false
% 20.22/5.23 |
% 20.22/5.23 |-The branch is then unsatisfiable
% 20.22/5.23 |-Branch two:
% 20.22/5.23 | (1001) ~ (all_0_120_120 = e12)
% 20.22/5.23 | (1002) all_0_121_121 = e12 | all_0_122_122 = e12 | all_0_123_123 = e12
% 20.22/5.23 |
% 20.22/5.23 +-Applying beta-rule and splitting (335), into two cases.
% 20.22/5.23 |-Branch one:
% 20.22/5.23 | (828) all_0_112_112 = e13
% 20.22/5.23 |
% 20.22/5.23 | Equations (828) can reduce 207 to:
% 20.22/5.23 | (4649) ~ (all_0_114_114 = e13)
% 20.22/5.23 |
% 20.22/5.23 | Simplifying 4649 yields:
% 20.22/5.23 | (952) ~ (all_0_114_114 = e13)
% 20.22/5.23 |
% 20.22/5.23 | Equations (828) can reduce 46 to:
% 20.22/5.23 | (818) ~ (all_0_118_118 = e13)
% 20.22/5.23 |
% 20.22/5.23 | Simplifying 818 yields:
% 20.22/5.23 | (819) ~ (all_0_118_118 = e13)
% 20.22/5.23 |
% 20.22/5.23 | Equations (828) can reduce 781 to:
% 20.22/5.23 | (189) ~ (e13 = e10)
% 20.22/5.23 |
% 20.22/5.23 | From (828) and (184) follows:
% 20.22/5.23 | (1623) h1(e13) = all_0_69_69
% 20.22/5.23 |
% 20.22/5.23 +-Applying beta-rule and splitting (321), into two cases.
% 20.22/5.23 |-Branch one:
% 20.22/5.23 | (821) all_0_118_118 = e13
% 20.22/5.23 |
% 20.22/5.23 | Equations (821) can reduce 819 to:
% 20.22/5.23 | (392) $false
% 20.22/5.23 |
% 20.22/5.23 |-The branch is then unsatisfiable
% 20.22/5.23 |-Branch two:
% 20.22/5.23 | (819) ~ (all_0_118_118 = e13)
% 20.22/5.23 | (824) all_0_118_118 = e12
% 20.22/5.23 |
% 20.22/5.23 | Equations (824) can reduce 244 to:
% 20.22/5.23 | (792) ~ (all_0_117_117 = e12)
% 20.22/5.23 |
% 20.22/5.23 | Equations (824) can reduce 819 to:
% 20.22/5.23 | (1052) ~ (e13 = e12)
% 20.22/5.23 |
% 20.22/5.23 | Simplifying 1052 yields:
% 20.22/5.23 | (278) ~ (e13 = e12)
% 20.22/5.23 |
% 20.22/5.23 | Equations (824) can reduce 153 to:
% 20.22/5.23 | (299) ~ (e12 = e11)
% 20.22/5.23 |
% 20.22/5.23 | Equations (824) can reduce 290 to:
% 20.22/5.23 | (147) ~ (e12 = e10)
% 20.22/5.23 |
% 20.22/5.23 | From (824) and (109) follows:
% 20.22/5.23 | (1621) h1(e12) = all_0_82_82
% 20.22/5.23 |
% 20.22/5.23 +-Applying beta-rule and splitting (1002), into two cases.
% 20.22/5.23 |-Branch one:
% 20.22/5.23 | (765) all_0_121_121 = e12
% 20.22/5.23 |
% 20.22/5.23 | Combining equations (771,765) yields a new equation:
% 20.22/5.23 | (679) e12 = e10
% 20.22/5.23 |
% 20.22/5.23 | Equations (679) can reduce 147 to:
% 20.22/5.23 | (392) $false
% 20.22/5.23 |
% 20.22/5.23 |-The branch is then unsatisfiable
% 20.22/5.23 |-Branch two:
% 20.22/5.23 | (1007) ~ (all_0_121_121 = e12)
% 20.22/5.23 | (1008) all_0_122_122 = e12 | all_0_123_123 = e12
% 20.22/5.23 |
% 20.22/5.23 +-Applying beta-rule and splitting (1008), into two cases.
% 20.22/5.23 |-Branch one:
% 20.22/5.23 | (699) all_0_122_122 = e12
% 20.22/5.23 |
% 20.22/5.23 | Combining equations (702,699) yields a new equation:
% 20.22/5.23 | (749) e12 = e11
% 20.22/5.23 |
% 20.22/5.23 | Equations (749) can reduce 299 to:
% 20.22/5.23 | (392) $false
% 20.22/5.23 |
% 20.22/5.23 |-The branch is then unsatisfiable
% 20.22/5.23 |-Branch two:
% 20.22/5.23 | (696) ~ (all_0_122_122 = e12)
% 20.22/5.23 | (1013) all_0_123_123 = e12
% 20.22/5.23 |
% 20.22/5.23 | Equations (1013) can reduce 35 to:
% 20.22/5.23 | (1001) ~ (all_0_120_120 = e12)
% 20.22/5.23 |
% 20.22/5.23 | From (1013) and (310) follows:
% 20.40/5.23 | (1690) h1(e12) = all_0_93_93
% 20.40/5.23 |
% 20.40/5.23 +-Applying beta-rule and splitting (357), into two cases.
% 20.40/5.23 |-Branch one:
% 20.40/5.23 | (753) all_0_120_120 = e13
% 20.40/5.23 |
% 20.40/5.23 | Equations (753) can reduce 303 to:
% 20.40/5.23 | (978) ~ (all_0_117_117 = e13)
% 20.40/5.23 |
% 20.40/5.23 | Equations (753) can reduce 1001 to:
% 20.40/5.23 | (278) ~ (e13 = e12)
% 20.40/5.23 |
% 20.40/5.23 | From (753) and (3) follows:
% 20.40/5.23 | (1680) h1(e13) = all_0_87_87
% 20.40/5.23 |
% 20.40/5.23 +-Applying beta-rule and splitting (123), into two cases.
% 20.40/5.23 |-Branch one:
% 20.40/5.23 | (817) all_0_117_117 = e13
% 20.40/5.23 |
% 20.40/5.23 | Equations (817) can reduce 978 to:
% 20.40/5.23 | (392) $false
% 20.40/5.23 |
% 20.40/5.23 |-The branch is then unsatisfiable
% 20.40/5.23 |-Branch two:
% 20.40/5.23 | (978) ~ (all_0_117_117 = e13)
% 20.40/5.23 | (979) all_0_117_117 = e12 | all_0_117_117 = e11
% 20.40/5.23 |
% 20.40/5.23 +-Applying beta-rule and splitting (264), into two cases.
% 20.40/5.23 |-Branch one:
% 20.40/5.23 | (752) all_0_114_114 = e13
% 20.40/5.23 |
% 20.40/5.23 | Equations (752) can reduce 952 to:
% 20.40/5.23 | (392) $false
% 20.40/5.23 |
% 20.40/5.23 |-The branch is then unsatisfiable
% 20.40/5.23 |-Branch two:
% 20.40/5.23 | (952) ~ (all_0_114_114 = e13)
% 20.40/5.23 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 20.40/5.23 |
% 20.40/5.23 +-Applying beta-rule and splitting (979), into two cases.
% 20.40/5.23 |-Branch one:
% 20.40/5.23 | (813) all_0_117_117 = e12
% 20.40/5.23 |
% 20.40/5.23 | Equations (813) can reduce 792 to:
% 20.40/5.23 | (392) $false
% 20.40/5.23 |
% 20.40/5.23 |-The branch is then unsatisfiable
% 20.40/5.23 |-Branch two:
% 20.40/5.23 | (792) ~ (all_0_117_117 = e12)
% 20.40/5.23 | (744) all_0_117_117 = e11
% 20.40/5.23 |
% 20.40/5.23 | Equations (744) can reduce 792 to:
% 20.40/5.23 | (706) ~ (e12 = e11)
% 20.40/5.23 |
% 20.40/5.23 | Simplifying 706 yields:
% 20.40/5.23 | (299) ~ (e12 = e11)
% 20.40/5.23 |
% 20.40/5.23 | Equations (744) can reduce 219 to:
% 20.40/5.23 | (284) ~ (e11 = e10)
% 20.40/5.23 |
% 20.40/5.23 | From (744) and (296) follows:
% 20.40/5.23 | (1656) h1(e11) = all_0_80_80
% 20.40/5.23 |
% 20.40/5.23 +-Applying beta-rule and splitting (953), into two cases.
% 20.40/5.23 |-Branch one:
% 20.40/5.23 | (1552) all_0_119_119 = e13
% 20.40/5.23 |
% 20.40/5.23 | From (1552) and (106) follows:
% 20.40/5.23 | (1661) h1(e13) = all_0_85_85
% 20.40/5.23 |
% 20.40/5.23 +-Applying beta-rule and splitting (172), into two cases.
% 20.40/5.23 |-Branch one:
% 20.40/5.23 | (834) all_0_111_111 = e11
% 20.40/5.23 |
% 20.40/5.23 | Combining equations (834,787) yields a new equation:
% 20.40/5.23 | (1095) e11 = e10
% 20.40/5.23 |
% 20.40/5.23 | Simplifying 1095 yields:
% 20.40/5.23 | (803) e11 = e10
% 20.40/5.23 |
% 20.40/5.23 | Equations (803) can reduce 284 to:
% 20.40/5.23 | (392) $false
% 20.40/5.23 |
% 20.40/5.23 |-The branch is then unsatisfiable
% 20.40/5.23 |-Branch two:
% 20.40/5.23 | (936) ~ (all_0_111_111 = e11)
% 20.40/5.23 | (937) all_0_113_113 = e11 | all_0_114_114 = e11
% 20.40/5.23 |
% 20.40/5.23 +-Applying beta-rule and splitting (251), into two cases.
% 20.40/5.23 |-Branch one:
% 20.40/5.23 | (802) all_0_114_114 = e11
% 20.40/5.23 |
% 20.40/5.23 | From (802) and (274) follows:
% 20.40/5.23 | (1650) h1(e11) = all_0_73_73
% 20.40/5.23 |
% 20.40/5.23 | Instantiating formula (154) with e13, all_0_69_69, e22 and discharging atoms h1(e13) = all_0_69_69, h1(e13) = e22, yields:
% 20.40/5.23 | (4707) all_0_69_69 = e22
% 20.40/5.23 |
% 20.40/5.23 | Instantiating formula (154) with e13, all_0_85_85, all_0_69_69 and discharging atoms h1(e13) = all_0_69_69, h1(e13) = all_0_85_85, yields:
% 20.40/5.23 | (1692) all_0_69_69 = all_0_85_85
% 20.40/5.23 |
% 20.40/5.23 | Instantiating formula (154) with e13, all_0_87_87, all_0_85_85 and discharging atoms h1(e13) = all_0_85_85, h1(e13) = all_0_87_87, yields:
% 20.40/5.23 | (1693) all_0_85_85 = all_0_87_87
% 20.40/5.23 |
% 20.40/5.23 | Instantiating formula (154) with e12, all_0_82_82, e20 and discharging atoms h1(e12) = all_0_82_82, h1(e12) = e20, yields:
% 20.40/5.23 | (1694) all_0_82_82 = e20
% 20.40/5.23 |
% 20.40/5.23 | Instantiating formula (154) with e12, all_0_93_93, all_0_82_82 and discharging atoms h1(e12) = all_0_82_82, h1(e12) = all_0_93_93, yields:
% 20.40/5.23 | (1695) all_0_82_82 = all_0_93_93
% 20.40/5.23 |
% 20.40/5.23 | Instantiating formula (154) with e11, all_0_73_73, e23 and discharging atoms h1(e11) = all_0_73_73, h1(e11) = e23, yields:
% 20.40/5.23 | (4712) all_0_73_73 = e23
% 20.40/5.23 |
% 20.40/5.23 | Instantiating formula (154) with e11, all_0_80_80, all_0_73_73 and discharging atoms h1(e11) = all_0_73_73, h1(e11) = all_0_80_80, yields:
% 20.40/5.23 | (1697) all_0_73_73 = all_0_80_80
% 20.40/5.23 |
% 20.40/5.23 | Instantiating formula (154) with e10, all_0_67_67, e21 and discharging atoms h1(e10) = all_0_67_67, h1(e10) = e21, yields:
% 20.40/5.23 | (1698) all_0_67_67 = e21
% 20.40/5.23 |
% 20.40/5.23 | Instantiating formula (154) with e10, all_0_89_89, all_0_67_67 and discharging atoms h1(e10) = all_0_67_67, h1(e10) = all_0_89_89, yields:
% 20.40/5.23 | (1699) all_0_67_67 = all_0_89_89
% 20.40/5.23 |
% 20.40/5.23 | Combining equations (1699,1698) yields a new equation:
% 20.40/5.23 | (1700) all_0_89_89 = e21
% 20.40/5.23 |
% 20.40/5.23 | Simplifying 1700 yields:
% 20.40/5.23 | (1701) all_0_89_89 = e21
% 20.40/5.23 |
% 20.40/5.23 | Combining equations (1692,4707) yields a new equation:
% 20.40/5.23 | (4718) all_0_85_85 = e22
% 20.40/5.23 |
% 20.40/5.23 | Simplifying 4718 yields:
% 20.40/5.23 | (4719) all_0_85_85 = e22
% 20.40/5.23 |
% 20.40/5.23 | Combining equations (1697,4712) yields a new equation:
% 20.40/5.23 | (4720) all_0_80_80 = e23
% 20.40/5.23 |
% 20.40/5.23 | Simplifying 4720 yields:
% 20.40/5.23 | (4721) all_0_80_80 = e23
% 20.40/5.23 |
% 20.40/5.23 | Combining equations (1694,1695) yields a new equation:
% 20.40/5.23 | (1706) all_0_93_93 = e20
% 20.40/5.23 |
% 20.40/5.23 | Combining equations (4719,1693) yields a new equation:
% 20.40/5.23 | (4723) all_0_87_87 = e22
% 20.40/5.23 |
% 20.40/5.23 | Combining equations (4723,1693) yields a new equation:
% 20.40/5.23 | (4719) all_0_85_85 = e22
% 20.40/5.23 |
% 20.40/5.23 | Combining equations (1706,1695) yields a new equation:
% 20.40/5.23 | (1694) all_0_82_82 = e20
% 20.40/5.23 |
% 20.40/5.23 +-Applying beta-rule and splitting (358), into two cases.
% 20.40/5.23 |-Branch one:
% 20.40/5.23 | (1710) ~ (all_0_66_66 = all_0_67_67)
% 20.40/5.23 |
% 20.40/5.23 | Equations (629,1698) can reduce 1710 to:
% 20.40/5.23 | (392) $false
% 20.40/5.23 |
% 20.40/5.23 |-The branch is then unsatisfiable
% 20.40/5.23 |-Branch two:
% 20.40/5.23 | (1712) all_0_66_66 = all_0_67_67
% 20.40/5.23 | (1713) ~ (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_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.23 |
% 20.40/5.23 +-Applying beta-rule and splitting (1713), into two cases.
% 20.40/5.23 |-Branch one:
% 20.40/5.23 | (1714) ~ (all_0_68_68 = all_0_69_69)
% 20.40/5.23 |
% 20.40/5.23 | Equations (2664,4707) can reduce 1714 to:
% 20.40/5.23 | (392) $false
% 20.40/5.23 |
% 20.40/5.23 |-The branch is then unsatisfiable
% 20.40/5.23 |-Branch two:
% 20.40/5.23 | (1716) all_0_68_68 = all_0_69_69
% 20.40/5.23 | (1717) ~ (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_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.23 |
% 20.40/5.23 +-Applying beta-rule and splitting (1717), into two cases.
% 20.40/5.23 |-Branch one:
% 20.40/5.23 | (1718) ~ (all_0_70_70 = all_0_71_71)
% 20.40/5.23 |
% 20.40/5.23 | Equations (655,1344) can reduce 1718 to:
% 20.40/5.23 | (392) $false
% 20.40/5.23 |
% 20.40/5.23 |-The branch is then unsatisfiable
% 20.40/5.23 |-Branch two:
% 20.40/5.23 | (1720) all_0_70_70 = all_0_71_71
% 20.40/5.23 | (1721) ~ (all_0_72_72 = all_0_73_73) | ~ (all_0_74_74 = all_0_75_75) | ~ (all_0_76_76 = all_0_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1721), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1722) ~ (all_0_72_72 = all_0_73_73)
% 20.40/5.24 |
% 20.40/5.24 | Equations (2662,4712) can reduce 1722 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1724) all_0_72_72 = all_0_73_73
% 20.40/5.24 | (1725) ~ (all_0_74_74 = all_0_75_75) | ~ (all_0_76_76 = all_0_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1725), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1726) ~ (all_0_74_74 = all_0_75_75)
% 20.40/5.24 |
% 20.40/5.24 | Equations (661,1317) can reduce 1726 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1728) all_0_74_74 = all_0_75_75
% 20.40/5.24 | (1729) ~ (all_0_76_76 = all_0_96_96) | ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1729), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1730) ~ (all_0_76_76 = all_0_96_96)
% 20.40/5.24 |
% 20.40/5.24 | Equations (2599,2597) can reduce 1730 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (367) all_0_76_76 = all_0_96_96
% 20.40/5.24 | (1733) ~ (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_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 | Combining equations (2599,367) yields a new equation:
% 20.40/5.24 | (2597) all_0_96_96 = e22
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1733), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1735) ~ (all_0_77_77 = all_0_78_78)
% 20.40/5.24 |
% 20.40/5.24 | Equations (662,1318) can reduce 1735 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1737) all_0_77_77 = all_0_78_78
% 20.40/5.24 | (1738) ~ (all_0_79_79 = all_0_80_80) | ~ (all_0_81_81 = all_0_82_82) | ~ (all_0_83_83 = all_0_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1738), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1739) ~ (all_0_79_79 = all_0_80_80)
% 20.40/5.24 |
% 20.40/5.24 | Equations (2665,4721) can reduce 1739 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1741) all_0_79_79 = all_0_80_80
% 20.40/5.24 | (1742) ~ (all_0_81_81 = all_0_82_82) | ~ (all_0_83_83 = all_0_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1742), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1743) ~ (all_0_81_81 = all_0_82_82)
% 20.40/5.24 |
% 20.40/5.24 | Equations (567,1694) can reduce 1743 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1745) all_0_81_81 = all_0_82_82
% 20.40/5.24 | (1746) ~ (all_0_83_83 = all_0_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1746), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1747) ~ (all_0_83_83 = all_0_97_97)
% 20.40/5.24 |
% 20.40/5.24 | Equations (587,564) can reduce 1747 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (368) all_0_83_83 = all_0_97_97
% 20.40/5.24 | (1750) ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 | Combining equations (587,368) yields a new equation:
% 20.40/5.24 | (564) all_0_97_97 = e21
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1750), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1752) ~ (all_0_84_84 = all_0_85_85)
% 20.40/5.24 |
% 20.40/5.24 | Equations (2637,4719) can reduce 1752 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1754) all_0_84_84 = all_0_85_85
% 20.40/5.24 | (1755) ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1755), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1756) ~ (all_0_86_86 = all_0_87_87)
% 20.40/5.24 |
% 20.40/5.24 | Equations (2666,4723) can reduce 1756 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1758) all_0_86_86 = all_0_87_87
% 20.40/5.24 | (1759) ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1759), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1760) ~ (all_0_88_88 = all_0_89_89)
% 20.40/5.24 |
% 20.40/5.24 | Equations (659,1701) can reduce 1760 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1762) all_0_88_88 = all_0_89_89
% 20.40/5.24 | (1763) ~ (all_0_90_90 = all_0_91_91) | ~ (all_0_92_92 = all_0_93_93) | ( ~ (all_0_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1763), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1764) ~ (all_0_90_90 = all_0_91_91)
% 20.40/5.24 |
% 20.40/5.24 | Equations (2647,3779) can reduce 1764 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1766) all_0_90_90 = all_0_91_91
% 20.40/5.24 | (1767) ~ (all_0_92_92 = all_0_93_93) | ( ~ (all_0_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1767), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1768) ~ (all_0_92_92 = all_0_93_93)
% 20.40/5.24 |
% 20.40/5.24 | Equations (644,1706) can reduce 1768 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1770) all_0_92_92 = all_0_93_93
% 20.40/5.24 | (1771) ( ~ (all_0_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1771), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1772) ( ~ (all_0_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22))
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (1772), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1773) ~ (all_0_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_110_110 = e23)
% 20.40/5.24 |
% 20.40/5.24 | Applying alpha-rule on (1773) yields:
% 20.40/5.24 | (1774) ~ (all_0_96_96 = e23)
% 20.40/5.24 | (1775) ~ (all_0_97_97 = e23)
% 20.40/5.24 | (481) ~ (all_0_110_110 = e23)
% 20.40/5.24 |
% 20.40/5.24 | Equations (2580) can reduce 481 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1778) ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_110_110 = e22)
% 20.40/5.24 |
% 20.40/5.24 | Applying alpha-rule on (1778) yields:
% 20.40/5.24 | (1779) ~ (all_0_96_96 = e22)
% 20.40/5.24 | (1780) ~ (all_0_97_97 = e22)
% 20.40/5.24 | (1781) ~ (all_0_110_110 = e22)
% 20.40/5.24 |
% 20.40/5.24 | Equations (2597) can reduce 1779 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1783) ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_110_110 = e21)
% 20.40/5.24 |
% 20.40/5.24 | Applying alpha-rule on (1783) yields:
% 20.40/5.24 | (1784) ~ (all_0_96_96 = e21)
% 20.40/5.24 | (1785) ~ (all_0_97_97 = e21)
% 20.40/5.24 | (1786) ~ (all_0_110_110 = e21)
% 20.40/5.24 |
% 20.40/5.24 | Equations (564) can reduce 1785 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (805) ~ (all_0_114_114 = e11)
% 20.40/5.24 | (806) all_0_119_119 = e11 | all_0_123_123 = e11
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (937), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (747) all_0_113_113 = e11
% 20.40/5.24 |
% 20.40/5.24 | Combining equations (747,693) yields a new equation:
% 20.40/5.24 | (749) e12 = e11
% 20.40/5.24 |
% 20.40/5.24 | Equations (749) can reduce 299 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (942) ~ (all_0_113_113 = e11)
% 20.40/5.24 | (802) all_0_114_114 = e11
% 20.40/5.24 |
% 20.40/5.24 | Equations (802) can reduce 805 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (1556) ~ (all_0_119_119 = e13)
% 20.40/5.24 | (832) all_0_123_123 = e13
% 20.40/5.24 |
% 20.40/5.24 | Combining equations (1013,832) yields a new equation:
% 20.40/5.24 | (957) e13 = e12
% 20.40/5.24 |
% 20.40/5.24 | Equations (957) can reduce 278 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (959) ~ (all_0_120_120 = e13)
% 20.40/5.24 | (960) all_0_121_121 = e13 | all_0_123_123 = e13
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (6), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (1176) all_0_111_111 = e13
% 20.40/5.24 |
% 20.40/5.24 | Combining equations (787,1176) yields a new equation:
% 20.40/5.24 | (950) e13 = e10
% 20.40/5.24 |
% 20.40/5.24 | Equations (950) can reduce 189 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (738) ~ (all_0_111_111 = e13)
% 20.40/5.24 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 20.40/5.24 |
% 20.40/5.24 | Equations (787) can reduce 738 to:
% 20.40/5.24 | (675) ~ (e13 = e10)
% 20.40/5.24 |
% 20.40/5.24 | Simplifying 675 yields:
% 20.40/5.24 | (189) ~ (e13 = e10)
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (960), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (961) all_0_121_121 = e13
% 20.40/5.24 |
% 20.40/5.24 | Combining equations (771,961) yields a new equation:
% 20.40/5.24 | (950) e13 = e10
% 20.40/5.24 |
% 20.40/5.24 | Equations (950) can reduce 189 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (964) ~ (all_0_121_121 = e13)
% 20.40/5.24 | (832) all_0_123_123 = e13
% 20.40/5.24 |
% 20.40/5.24 | Combining equations (832,1013) yields a new equation:
% 20.40/5.24 | (1969) e13 = e12
% 20.40/5.24 |
% 20.40/5.24 | Simplifying 1969 yields:
% 20.40/5.24 | (957) e13 = e12
% 20.40/5.24 |
% 20.40/5.24 | Equations (957) can reduce 278 to:
% 20.40/5.24 | (392) $false
% 20.40/5.24 |
% 20.40/5.24 |-The branch is then unsatisfiable
% 20.40/5.24 |-Branch two:
% 20.40/5.24 | (967) ~ (all_0_112_112 = e13)
% 20.40/5.24 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 20.40/5.24 |
% 20.40/5.24 +-Applying beta-rule and splitting (972), into two cases.
% 20.40/5.24 |-Branch one:
% 20.40/5.24 | (736) all_0_112_112 = e12
% 20.40/5.24 |
% 20.40/5.25 | Equations (736) can reduce 694 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (694) ~ (all_0_112_112 = e12)
% 20.40/5.25 | (713) all_0_112_112 = e10
% 20.40/5.25 |
% 20.40/5.25 | Equations (713) can reduce 781 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (670) ~ (all_0_111_111 = e10)
% 20.40/5.25 | (790) all_0_112_112 = e10 | all_0_114_114 = e10
% 20.40/5.25 |
% 20.40/5.25 +-Applying beta-rule and splitting (790), into two cases.
% 20.40/5.25 |-Branch one:
% 20.40/5.25 | (713) all_0_112_112 = e10
% 20.40/5.25 |
% 20.40/5.25 | Equations (713) can reduce 781 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (781) ~ (all_0_112_112 = e10)
% 20.40/5.25 | (718) all_0_114_114 = e10
% 20.40/5.25 |
% 20.40/5.25 | Equations (718) can reduce 715 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (681) ~ (all_0_115_115 = e12)
% 20.40/5.25 | (669) all_0_115_115 = e10
% 20.40/5.25 |
% 20.40/5.25 | Equations (669) can reduce 1297 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (1015) ~ (all_0_113_113 = e12)
% 20.40/5.25 | (699) all_0_122_122 = e12
% 20.40/5.25 |
% 20.40/5.25 | Combining equations (702,699) yields a new equation:
% 20.40/5.25 | (749) e12 = e11
% 20.40/5.25 |
% 20.40/5.25 | Equations (749) can reduce 299 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (2131) ~ (all_0_104_104 = e23)
% 20.40/5.25 | (2132) all_0_104_104 = e22 | all_0_104_104 = e21
% 20.40/5.25 |
% 20.40/5.25 +-Applying beta-rule and splitting (2132), into two cases.
% 20.40/5.25 |-Branch one:
% 20.40/5.25 | (489) all_0_104_104 = e22
% 20.40/5.25 |
% 20.40/5.25 | Equations (489) can reduce 397 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (397) ~ (all_0_104_104 = e22)
% 20.40/5.25 | (431) all_0_104_104 = e21
% 20.40/5.25 |
% 20.40/5.25 | Equations (431) can reduce 495 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (2229) ~ (all_0_99_99 = e23)
% 20.40/5.25 | (420) all_0_99_99 = e22
% 20.40/5.25 |
% 20.40/5.25 | Equations (420) can reduce 2214 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (929) ~ (all_0_98_98 = e21)
% 20.40/5.25 | (2139) all_0_100_100 = e21 | all_0_101_101 = e21
% 20.40/5.25 |
% 20.40/5.25 +-Applying beta-rule and splitting (2139), into two cases.
% 20.40/5.25 |-Branch one:
% 20.40/5.25 | (428) all_0_100_100 = e21
% 20.40/5.25 |
% 20.40/5.25 | Combining equations (428,407) yields a new equation:
% 20.40/5.25 | (433) e22 = e21
% 20.40/5.25 |
% 20.40/5.25 | Equations (433) can reduce 241 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (2144) ~ (all_0_100_100 = e21)
% 20.40/5.25 | (2145) all_0_101_101 = e21
% 20.40/5.25 |
% 20.40/5.25 | Combining equations (443,2145) yields a new equation:
% 20.40/5.25 | (2347) e21 = e20
% 20.40/5.25 |
% 20.40/5.25 | Equations (2347) can reduce 312 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (536) ~ (all_0_107_107 = e22)
% 20.40/5.25 | (537) all_0_108_108 = e22 | all_0_109_109 = e22 | all_0_110_110 = e22
% 20.40/5.25 |
% 20.40/5.25 +-Applying beta-rule and splitting (537), into two cases.
% 20.40/5.25 |-Branch one:
% 20.40/5.25 | (450) all_0_108_108 = e22
% 20.40/5.25 |
% 20.40/5.25 | Combining equations (457,450) yields a new equation:
% 20.40/5.25 | (425) e22 = e20
% 20.40/5.25 |
% 20.40/5.25 | Equations (425) can reduce 111 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (514) ~ (all_0_108_108 = e22)
% 20.40/5.25 | (543) all_0_109_109 = e22 | all_0_110_110 = e22
% 20.40/5.25 |
% 20.40/5.25 +-Applying beta-rule and splitting (543), into two cases.
% 20.40/5.25 |-Branch one:
% 20.40/5.25 | (544) all_0_109_109 = e22
% 20.40/5.25 |
% 20.40/5.25 | Combining equations (544,462) yields a new equation:
% 20.40/5.25 | (545) e22 = e21
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 545 yields:
% 20.40/5.25 | (433) e22 = e21
% 20.40/5.25 |
% 20.40/5.25 | Equations (433) can reduce 241 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (411) ~ (all_0_109_109 = e22)
% 20.40/5.25 | (549) all_0_110_110 = e22
% 20.40/5.25 |
% 20.40/5.25 | Equations (549) can reduce 1781 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (2156) ~ (all_0_100_100 = e22)
% 20.40/5.25 | (428) all_0_100_100 = e21
% 20.40/5.25 |
% 20.40/5.25 | Equations (428) can reduce 2144 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (387) ~ (all_0_102_102 = e20)
% 20.40/5.25 | (394) all_0_102_102 = e22
% 20.40/5.25 |
% 20.40/5.25 | Equations (394) can reduce 80 to:
% 20.40/5.25 | (4892) ~ (all_0_103_103 = e22)
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 4892 yields:
% 20.40/5.25 | (4893) ~ (all_0_103_103 = e22)
% 20.40/5.25 |
% 20.40/5.25 | Equations (394) can reduce 157 to:
% 20.40/5.25 | (396) ~ (all_0_104_104 = e22)
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 396 yields:
% 20.40/5.25 | (397) ~ (all_0_104_104 = e22)
% 20.40/5.25 |
% 20.40/5.25 | Equations (394) can reduce 192 to:
% 20.40/5.25 | (4896) ~ (all_0_107_107 = e22)
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 4896 yields:
% 20.40/5.25 | (536) ~ (all_0_107_107 = e22)
% 20.40/5.25 |
% 20.40/5.25 | Equations (394) can reduce 387 to:
% 20.40/5.25 | (111) ~ (e22 = e20)
% 20.40/5.25 |
% 20.40/5.25 | From (394) and (33) follows:
% 20.40/5.25 | (400) op2(e22, e23) = e22
% 20.40/5.25 |
% 20.40/5.25 +-Applying beta-rule and splitting (25), into two cases.
% 20.40/5.25 |-Branch one:
% 20.40/5.25 | (391) all_0_102_102 = e20
% 20.40/5.25 |
% 20.40/5.25 | Combining equations (394,391) yields a new equation:
% 20.40/5.25 | (424) e22 = e20
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 424 yields:
% 20.40/5.25 | (425) e22 = e20
% 20.40/5.25 |
% 20.40/5.25 | Equations (425) can reduce 111 to:
% 20.40/5.25 | (392) $false
% 20.40/5.25 |
% 20.40/5.25 |-The branch is then unsatisfiable
% 20.40/5.25 |-Branch two:
% 20.40/5.25 | (387) ~ (all_0_102_102 = e20)
% 20.40/5.25 | (385) all_0_103_103 = e20
% 20.40/5.25 |
% 20.40/5.25 | Equations (385) can reduce 328 to:
% 20.40/5.25 | (4906) ~ (all_0_106_106 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 4906 yields:
% 20.40/5.25 | (246) ~ (all_0_106_106 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Equations (385) can reduce 324 to:
% 20.40/5.25 | (4908) ~ (all_0_110_110 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 4908 yields:
% 20.40/5.25 | (438) ~ (all_0_110_110 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Equations (385) can reduce 148 to:
% 20.40/5.25 | (388) ~ (e23 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 388 yields:
% 20.40/5.25 | (262) ~ (e23 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Equations (385) can reduce 4893 to:
% 20.40/5.25 | (2293) ~ (e22 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 2293 yields:
% 20.40/5.25 | (111) ~ (e22 = e20)
% 20.40/5.25 |
% 20.40/5.25 | From (385) and (271) follows:
% 20.40/5.25 | (390) op2(e22, e20) = e20
% 20.40/5.25 |
% 20.40/5.25 +-Applying beta-rule and splitting (38), into two cases.
% 20.40/5.25 |-Branch one:
% 20.40/5.25 | (2273) all_0_98_98 = e20
% 20.40/5.25 |
% 20.40/5.25 | Equations (2273) can reduce 81 to:
% 20.40/5.25 | (4916) ~ (all_0_99_99 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 4916 yields:
% 20.40/5.25 | (2382) ~ (all_0_99_99 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Equations (2273) can reduce 356 to:
% 20.40/5.25 | (378) ~ (all_0_100_100 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 378 yields:
% 20.40/5.25 | (95) ~ (all_0_100_100 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Equations (2273) can reduce 156 to:
% 20.40/5.25 | (2394) ~ (all_0_107_107 = e20)
% 20.40/5.25 |
% 20.40/5.25 | Simplifying 2394 yields:
% 20.40/5.25 | (478) ~ (all_0_107_107 = e20)
% 20.40/5.25 |
% 20.40/5.25 | From (2273) and (163) follows:
% 20.40/5.25 | (4922) h4(e11) = e20
% 20.40/5.25 |
% 20.40/5.25 | From (2273) and (84) follows:
% 20.40/5.25 | (4923) op2(all_0_94_94, e20) = all_0_4_4
% 20.40/5.25 |
% 20.40/5.25 | From (2273) and (257) follows:
% 20.40/5.25 | (4924) op2(all_0_95_95, e20) = all_0_24_24
% 20.40/5.25 |
% 20.40/5.25 | From (2273) and (273) follows:
% 20.40/5.25 | (4925) op2(e20, all_0_94_94) = all_0_13_13
% 20.40/5.25 |
% 20.40/5.25 | From (2273) and (88) follows:
% 20.40/5.25 | (4926) op2(e20, all_0_95_95) = all_0_18_18
% 20.40/5.25 |
% 20.40/5.25 | From (2273)(2273) and (269) follows:
% 20.40/5.25 | (4927) op2(e20, e20) = all_0_95_95
% 20.40/5.25 |
% 20.40/5.25 | From (2273) and (160) follows:
% 20.40/5.25 | (4928) op2(e20, e23) = all_0_15_15
% 20.40/5.25 |
% 20.40/5.25 | From (2273) and (115) follows:
% 20.40/5.25 | (4929) op2(e23, e20) = all_0_94_94
% 20.40/5.25 |
% 20.40/5.25 | From (2273) and (196) follows:
% 20.40/5.25 | (4930) op2(e23, e23) = e20
% 20.40/5.25 |
% 20.40/5.25 | Instantiating formula (64) with e23, e20, all_0_94_94, all_0_101_101 and discharging atoms op2(e23, e20) = all_0_94_94, op2(e23, e20) = all_0_101_101, yields:
% 20.40/5.25 | (4931) all_0_94_94 = all_0_101_101
% 20.40/5.25 |
% 20.40/5.25 | Instantiating formula (64) with e20, e23, all_0_15_15, all_0_107_107 and discharging atoms op2(e20, e23) = all_0_15_15, op2(e20, e23) = all_0_107_107, yields:
% 20.40/5.25 | (4932) all_0_15_15 = all_0_107_107
% 20.40/5.25 |
% 20.40/5.25 | Instantiating formula (64) with e20, e20, all_0_95_95, all_0_110_110 and discharging atoms op2(e20, e20) = all_0_95_95, op2(e20, e20) = all_0_110_110, yields:
% 20.40/5.25 | (4933) all_0_95_95 = all_0_110_110
% 20.40/5.25 |
% 20.40/5.25 | Combining equations (4933,360) yields a new equation:
% 20.40/5.25 | (4934) all_0_17_17 = all_0_110_110
% 20.40/5.25 |
% 20.40/5.25 | Combining equations (4931,364) yields a new equation:
% 20.40/5.25 | (4935) all_0_10_10 = all_0_101_101
% 20.40/5.25 |
% 20.40/5.25 | From (4931) and (158) follows:
% 20.40/5.25 | (4936) h4(e13) = all_0_101_101
% 20.40/5.25 |
% 20.40/5.25 | From (4933) and (279) follows:
% 20.40/5.25 | (4937) h4(e10) = all_0_110_110
% 20.40/5.25 |
% 20.40/5.25 | From (4931)(4931) and (343) follows:
% 20.40/5.25 | (4938) op2(all_0_101_101, all_0_101_101) = all_0_0_0
% 20.40/5.25 |
% 20.40/5.25 | From (4931)(4933) and (87) follows:
% 20.40/5.26 | (4939) op2(all_0_101_101, all_0_110_110) = all_0_6_6
% 20.40/5.26 |
% 20.40/5.26 | From (4931) and (103) follows:
% 20.40/5.26 | (4940) op2(all_0_101_101, e23) = all_0_2_2
% 20.40/5.26 |
% 20.40/5.26 | From (4931) and (4923) follows:
% 20.40/5.26 | (4941) op2(all_0_101_101, e20) = all_0_4_4
% 20.40/5.26 |
% 20.40/5.26 | From (4933)(4931) and (203) follows:
% 20.40/5.26 | (4942) op2(all_0_110_110, all_0_101_101) = all_0_20_20
% 20.40/5.26 |
% 20.40/5.26 | From (4933)(4933) and (180) follows:
% 20.40/5.26 | (4943) op2(all_0_110_110, all_0_110_110) = all_0_26_26
% 20.40/5.26 |
% 20.40/5.26 | From (4933) and (291) follows:
% 20.40/5.26 | (4944) op2(all_0_110_110, e23) = all_0_22_22
% 20.40/5.26 |
% 20.40/5.26 | From (4933) and (4924) follows:
% 20.40/5.26 | (4945) op2(all_0_110_110, e20) = all_0_24_24
% 20.40/5.26 |
% 20.40/5.26 | From (4931) and (253) follows:
% 20.40/5.26 | (4946) op2(e23, all_0_101_101) = all_0_8_8
% 20.40/5.26 |
% 20.40/5.26 | From (4933) and (329) follows:
% 20.40/5.26 | (4947) op2(e23, all_0_110_110) = all_0_11_11
% 20.40/5.26 |
% 20.40/5.26 | From (4931) and (4929) follows:
% 20.40/5.26 | (2) op2(e23, e20) = all_0_101_101
% 20.40/5.26 |
% 20.40/5.26 | From (4931) and (4925) follows:
% 20.40/5.26 | (4949) op2(e20, all_0_101_101) = all_0_13_13
% 20.40/5.26 |
% 20.40/5.26 | From (4933) and (4926) follows:
% 20.40/5.26 | (4950) op2(e20, all_0_110_110) = all_0_18_18
% 20.40/5.26 |
% 20.40/5.26 | From (4932) and (4928) follows:
% 20.40/5.26 | (171) op2(e20, e23) = all_0_107_107
% 20.40/5.26 |
% 20.40/5.26 | Instantiating formula (64) with all_0_110_110, all_0_110_110, all_0_26_26, all_0_97_97 and discharging atoms op2(all_0_110_110, all_0_110_110) = all_0_26_26, op2(all_0_110_110, all_0_110_110) = all_0_97_97, yields:
% 20.40/5.26 | (4952) all_0_26_26 = all_0_97_97
% 20.40/5.26 |
% 20.40/5.26 | Instantiating formula (64) with all_0_110_110, e20, all_0_24_24, all_0_81_81 and discharging atoms op2(all_0_110_110, e20) = all_0_24_24, op2(all_0_110_110, e20) = all_0_81_81, yields:
% 20.40/5.26 | (4953) all_0_24_24 = all_0_81_81
% 20.40/5.26 |
% 20.40/5.26 | Instantiating formula (64) with e20, all_0_110_110, all_0_18_18, all_0_96_96 and discharging atoms op2(e20, all_0_110_110) = all_0_18_18, op2(e20, all_0_110_110) = all_0_96_96, yields:
% 20.40/5.26 | (4954) all_0_18_18 = all_0_96_96
% 20.40/5.26 |
% 20.40/5.26 | From (4952) and (4943) follows:
% 20.40/5.26 | (250) op2(all_0_110_110, all_0_110_110) = all_0_97_97
% 20.40/5.26 |
% 20.40/5.26 | From (4953) and (4945) follows:
% 20.40/5.26 | (301) op2(all_0_110_110, e20) = all_0_81_81
% 20.40/5.26 |
% 20.40/5.26 | From (4954) and (4950) follows:
% 20.40/5.26 | (330) op2(e20, all_0_110_110) = all_0_96_96
% 20.40/5.26 |
% 20.40/5.26 +-Applying beta-rule and splitting (334), into two cases.
% 20.40/5.26 |-Branch one:
% 20.40/5.26 | (544) all_0_109_109 = e22
% 20.40/5.26 |
% 20.40/5.26 | Equations (544) can reduce 130 to:
% 20.40/5.26 | (2156) ~ (all_0_100_100 = e22)
% 20.40/5.26 |
% 20.40/5.26 | Equations (544) can reduce 336 to:
% 20.40/5.26 | (536) ~ (all_0_107_107 = e22)
% 20.40/5.26 |
% 20.40/5.26 | Equations (544) can reduce 295 to:
% 20.40/5.26 | (2287) ~ (all_0_110_110 = e22)
% 20.40/5.26 |
% 20.40/5.26 | Simplifying 2287 yields:
% 20.40/5.26 | (1781) ~ (all_0_110_110 = e22)
% 20.40/5.26 |
% 20.40/5.26 | Equations (544) can reduce 194 to:
% 20.40/5.26 | (2206) ~ (e23 = e22)
% 20.40/5.26 |
% 20.40/5.26 | Simplifying 2206 yields:
% 20.40/5.26 | (31) ~ (e23 = e22)
% 20.40/5.26 |
% 20.40/5.26 | Equations (544) can reduce 188 to:
% 20.40/5.26 | (111) ~ (e22 = e20)
% 20.40/5.26 |
% 20.40/5.26 +-Applying beta-rule and splitting (304), into two cases.
% 20.40/5.26 |-Branch one:
% 20.40/5.26 | (407) all_0_100_100 = e22
% 20.40/5.26 |
% 20.40/5.26 | Equations (407) can reduce 2156 to:
% 20.40/5.26 | (392) $false
% 20.40/5.26 |
% 20.40/5.26 |-The branch is then unsatisfiable
% 20.40/5.26 |-Branch two:
% 20.40/5.26 | (2156) ~ (all_0_100_100 = e22)
% 20.40/5.26 | (428) all_0_100_100 = e21
% 20.40/5.26 |
% 20.40/5.26 | Equations (428) can reduce 2156 to:
% 20.40/5.26 | (467) ~ (e22 = e21)
% 20.40/5.26 |
% 20.40/5.26 | Simplifying 467 yields:
% 20.40/5.26 | (241) ~ (e22 = e21)
% 20.40/5.26 |
% 20.40/5.26 +-Applying beta-rule and splitting (210), into two cases.
% 20.40/5.26 |-Branch one:
% 20.40/5.26 | (4972) (all_0_98_98 = e23 & ( ~ (all_0_110_110 = e23) | all_0_107_107 = e20)) | (all_0_98_98 = e22 & all_0_99_99 = e23 & ( ~ (all_0_110_110 = e22) | all_0_108_108 = e20)) | (all_0_98_98 = e20 & all_0_101_101 = e23 & all_0_106_106 = e21) | (all_0_106_106 = e21 & all_0_110_110 = e20 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23)) | (all_0_106_106 = e21 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23)) | (all_0_107_107 = e20 & all_0_110_110 = e23)
% 20.40/5.26 |
% 20.40/5.26 +-Applying beta-rule and splitting (4972), into two cases.
% 20.40/5.26 |-Branch one:
% 20.40/5.26 | (4973) (all_0_98_98 = e23 & ( ~ (all_0_110_110 = e23) | all_0_107_107 = e20)) | (all_0_98_98 = e22 & all_0_99_99 = e23 & ( ~ (all_0_110_110 = e22) | all_0_108_108 = e20)) | (all_0_98_98 = e20 & all_0_101_101 = e23 & all_0_106_106 = e21) | (all_0_106_106 = e21 & all_0_110_110 = e20 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23)) | (all_0_106_106 = e21 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23))
% 20.40/5.26 |
% 20.40/5.26 +-Applying beta-rule and splitting (4973), into two cases.
% 20.40/5.26 |-Branch one:
% 20.40/5.26 | (4974) (all_0_98_98 = e23 & ( ~ (all_0_110_110 = e23) | all_0_107_107 = e20)) | (all_0_98_98 = e22 & all_0_99_99 = e23 & ( ~ (all_0_110_110 = e22) | all_0_108_108 = e20)) | (all_0_98_98 = e20 & all_0_101_101 = e23 & all_0_106_106 = e21) | (all_0_106_106 = e21 & all_0_110_110 = e20 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23))
% 20.40/5.26 |
% 20.40/5.26 +-Applying beta-rule and splitting (4974), into two cases.
% 20.40/5.26 |-Branch one:
% 20.40/5.26 | (4975) (all_0_98_98 = e23 & ( ~ (all_0_110_110 = e23) | all_0_107_107 = e20)) | (all_0_98_98 = e22 & all_0_99_99 = e23 & ( ~ (all_0_110_110 = e22) | all_0_108_108 = e20)) | (all_0_98_98 = e20 & all_0_101_101 = e23 & all_0_106_106 = e21)
% 20.40/5.26 |
% 20.40/5.26 +-Applying beta-rule and splitting (4975), into two cases.
% 20.40/5.26 |-Branch one:
% 20.40/5.26 | (4976) (all_0_98_98 = e23 & ( ~ (all_0_110_110 = e23) | all_0_107_107 = e20)) | (all_0_98_98 = e22 & all_0_99_99 = e23 & ( ~ (all_0_110_110 = e22) | all_0_108_108 = e20))
% 20.40/5.26 |
% 20.40/5.26 +-Applying beta-rule and splitting (4976), into two cases.
% 20.40/5.26 |-Branch one:
% 20.40/5.26 | (4977) all_0_98_98 = e23 & ( ~ (all_0_110_110 = e23) | all_0_107_107 = e20)
% 20.40/5.26 |
% 20.40/5.26 | Applying alpha-rule on (4977) yields:
% 20.40/5.26 | (2221) all_0_98_98 = e23
% 20.40/5.26 | (4979) ~ (all_0_110_110 = e23) | all_0_107_107 = e20
% 20.40/5.26 |
% 20.40/5.26 | Combining equations (2273,2221) yields a new equation:
% 20.40/5.26 | (440) e23 = e20
% 20.40/5.26 |
% 20.40/5.26 | Equations (440) can reduce 262 to:
% 20.40/5.26 | (392) $false
% 20.40/5.26 |
% 20.40/5.26 |-The branch is then unsatisfiable
% 20.40/5.26 |-Branch two:
% 20.40/5.26 | (4982) all_0_98_98 = e22 & all_0_99_99 = e23 & ( ~ (all_0_110_110 = e22) | all_0_108_108 = e20)
% 20.40/5.26 |
% 20.40/5.26 | Applying alpha-rule on (4982) yields:
% 20.40/5.26 | (2198) all_0_98_98 = e22
% 20.40/5.26 | (2225) all_0_99_99 = e23
% 20.40/5.26 | (4985) ~ (all_0_110_110 = e22) | all_0_108_108 = e20
% 20.40/5.26 |
% 20.40/5.26 | Combining equations (2273,2198) yields a new equation:
% 20.40/5.26 | (425) e22 = e20
% 20.40/5.26 |
% 20.40/5.26 | Equations (425) can reduce 111 to:
% 20.40/5.26 | (392) $false
% 20.40/5.26 |
% 20.40/5.26 |-The branch is then unsatisfiable
% 20.40/5.26 |-Branch two:
% 20.40/5.26 | (4988) all_0_98_98 = e20 & all_0_101_101 = e23 & all_0_106_106 = e21
% 20.40/5.26 |
% 20.40/5.26 | Applying alpha-rule on (4988) yields:
% 20.40/5.26 | (2273) all_0_98_98 = e20
% 20.40/5.26 | (436) all_0_101_101 = e23
% 20.40/5.26 | (464) all_0_106_106 = e21
% 20.40/5.26 |
% 20.40/5.26 | Equations (464) can reduce 308 to:
% 20.40/5.26 | (495) ~ (all_0_104_104 = e21)
% 20.40/5.26 |
% 20.40/5.26 | Equations (464) can reduce 246 to:
% 20.40/5.26 | (312) ~ (e21 = e20)
% 20.40/5.26 |
% 20.40/5.26 +-Applying beta-rule and splitting (320), into two cases.
% 20.40/5.26 |-Branch one:
% 20.40/5.26 | (2198) all_0_98_98 = e22
% 20.40/5.26 |
% 20.40/5.27 | Combining equations (2273,2198) yields a new equation:
% 20.40/5.27 | (425) e22 = e20
% 20.40/5.27 |
% 20.40/5.27 | Equations (425) can reduce 111 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (395) ~ (all_0_98_98 = e22)
% 20.40/5.27 | (2201) all_0_99_99 = e22 | all_0_100_100 = e22 | all_0_101_101 = e22
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (2201), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (420) all_0_99_99 = e22
% 20.40/5.27 |
% 20.40/5.27 | Equations (420) can reduce 202 to:
% 20.40/5.27 | (5000) ~ (all_0_105_105 = e22)
% 20.40/5.27 |
% 20.40/5.27 | Simplifying 5000 yields:
% 20.40/5.27 | (2469) ~ (all_0_105_105 = e22)
% 20.40/5.27 |
% 20.40/5.27 | Equations (420) can reduce 2382 to:
% 20.40/5.27 | (111) ~ (e22 = e20)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (282), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (509) all_0_105_105 = e23
% 20.40/5.27 |
% 20.40/5.27 | Equations (509) can reduce 2469 to:
% 20.40/5.27 | (31) ~ (e23 = e22)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (307), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (493) all_0_98_98 = e21
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (2273,493) yields a new equation:
% 20.40/5.27 | (2347) e21 = e20
% 20.40/5.27 |
% 20.40/5.27 | Equations (2347) can reduce 312 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (929) ~ (all_0_98_98 = e21)
% 20.40/5.27 | (5009) all_0_104_104 = e21 | all_0_107_107 = e21
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (5009), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (431) all_0_104_104 = e21
% 20.40/5.27 |
% 20.40/5.27 | Equations (431) can reduce 495 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (495) ~ (all_0_104_104 = e21)
% 20.40/5.27 | (2337) all_0_107_107 = e21
% 20.40/5.27 |
% 20.40/5.27 | Equations (2337) can reduce 536 to:
% 20.40/5.27 | (467) ~ (e22 = e21)
% 20.40/5.27 |
% 20.40/5.27 | Simplifying 467 yields:
% 20.40/5.27 | (241) ~ (e22 = e21)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (105), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (525) all_0_101_101 = e22
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (436,525) yields a new equation:
% 20.40/5.27 | (526) e23 = e22
% 20.40/5.27 |
% 20.40/5.27 | Simplifying 526 yields:
% 20.40/5.27 | (527) e23 = e22
% 20.40/5.27 |
% 20.40/5.27 | Equations (527) can reduce 31 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (409) ~ (all_0_101_101 = e22)
% 20.40/5.27 | (530) all_0_103_103 = e22 | all_0_106_106 = e22 | all_0_110_110 = e22
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (530), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (449) all_0_103_103 = e22
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (385,449) yields a new equation:
% 20.40/5.27 | (425) e22 = e20
% 20.40/5.27 |
% 20.40/5.27 | Equations (425) can reduce 111 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (4893) ~ (all_0_103_103 = e22)
% 20.40/5.27 | (5026) all_0_106_106 = e22 | all_0_110_110 = e22
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (5026), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (5027) all_0_106_106 = e22
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (464,5027) yields a new equation:
% 20.40/5.27 | (433) e22 = e21
% 20.40/5.27 |
% 20.40/5.27 | Equations (433) can reduce 241 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (5030) ~ (all_0_106_106 = e22)
% 20.40/5.27 | (549) all_0_110_110 = e22
% 20.40/5.27 |
% 20.40/5.27 | Equations (549) can reduce 1781 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (507) ~ (all_0_105_105 = e23)
% 20.40/5.27 | (512) all_0_105_105 = e22
% 20.40/5.27 |
% 20.40/5.27 | Equations (512) can reduce 2469 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (2214) ~ (all_0_99_99 = e22)
% 20.40/5.27 | (2215) all_0_100_100 = e22 | all_0_101_101 = e22
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (2215), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (407) all_0_100_100 = e22
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (428,407) yields a new equation:
% 20.40/5.27 | (433) e22 = e21
% 20.40/5.27 |
% 20.40/5.27 | Equations (433) can reduce 241 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (2156) ~ (all_0_100_100 = e22)
% 20.40/5.27 | (525) all_0_101_101 = e22
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (525,436) yields a new equation:
% 20.40/5.27 | (527) e23 = e22
% 20.40/5.27 |
% 20.40/5.27 | Equations (527) can reduce 31 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (5045) all_0_106_106 = e21 & all_0_110_110 = e20 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23)
% 20.40/5.27 |
% 20.40/5.27 | Applying alpha-rule on (5045) yields:
% 20.40/5.27 | (464) all_0_106_106 = e21
% 20.40/5.27 | (2303) all_0_110_110 = e20
% 20.40/5.27 | (5048) ~ (all_0_98_98 = e20) | all_0_101_101 = e23
% 20.40/5.27 |
% 20.40/5.27 | Equations (2303) can reduce 438 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (5050) all_0_106_106 = e21 & ( ~ (all_0_98_98 = e20) | all_0_101_101 = e23)
% 20.40/5.27 |
% 20.40/5.27 | Applying alpha-rule on (5050) yields:
% 20.40/5.27 | (464) all_0_106_106 = e21
% 20.40/5.27 | (5048) ~ (all_0_98_98 = e20) | all_0_101_101 = e23
% 20.40/5.27 |
% 20.40/5.27 | Equations (464) can reduce 308 to:
% 20.40/5.27 | (495) ~ (all_0_104_104 = e21)
% 20.40/5.27 |
% 20.40/5.27 | Equations (464) can reduce 66 to:
% 20.40/5.27 | (236) ~ (all_0_105_105 = e21)
% 20.40/5.27 |
% 20.40/5.27 | Equations (464) can reduce 246 to:
% 20.40/5.27 | (312) ~ (e21 = e20)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (57), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (505) all_0_104_104 = e23
% 20.40/5.27 |
% 20.40/5.27 | Equations (505) can reduce 113 to:
% 20.40/5.27 | (506) ~ (all_0_105_105 = e23)
% 20.40/5.27 |
% 20.40/5.27 | Simplifying 506 yields:
% 20.40/5.27 | (507) ~ (all_0_105_105 = e23)
% 20.40/5.27 |
% 20.40/5.27 | Equations (505) can reduce 495 to:
% 20.40/5.27 | (275) ~ (e23 = e21)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (307), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (493) all_0_98_98 = e21
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (2273,493) yields a new equation:
% 20.40/5.27 | (2347) e21 = e20
% 20.40/5.27 |
% 20.40/5.27 | Equations (2347) can reduce 312 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (929) ~ (all_0_98_98 = e21)
% 20.40/5.27 | (5009) all_0_104_104 = e21 | all_0_107_107 = e21
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (5009), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (431) all_0_104_104 = e21
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (431,505) yields a new equation:
% 20.40/5.27 | (2147) e23 = e21
% 20.40/5.27 |
% 20.40/5.27 | Equations (2147) can reduce 275 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (495) ~ (all_0_104_104 = e21)
% 20.40/5.27 | (2337) all_0_107_107 = e21
% 20.40/5.27 |
% 20.40/5.27 | Equations (2337) can reduce 214 to:
% 20.40/5.27 | (5070) ~ (all_0_110_110 = e21)
% 20.40/5.27 |
% 20.40/5.27 | Simplifying 5070 yields:
% 20.40/5.27 | (1786) ~ (all_0_110_110 = e21)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (282), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (509) all_0_105_105 = e23
% 20.40/5.27 |
% 20.40/5.27 | Equations (509) can reduce 507 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (507) ~ (all_0_105_105 = e23)
% 20.40/5.27 | (512) all_0_105_105 = e22
% 20.40/5.27 |
% 20.40/5.27 | Equations (512) can reduce 236 to:
% 20.40/5.27 | (241) ~ (e22 = e21)
% 20.40/5.27 |
% 20.40/5.27 | Equations (512) can reduce 168 to:
% 20.40/5.27 | (111) ~ (e22 = e20)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (235), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (2303) all_0_110_110 = e20
% 20.40/5.27 |
% 20.40/5.27 | Equations (2303) can reduce 438 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (438) ~ (all_0_110_110 = e20)
% 20.40/5.27 | (5081) all_0_110_110 = e23 | all_0_110_110 = e22 | all_0_110_110 = e21
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (5081), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (2580) all_0_110_110 = e23
% 20.40/5.27 |
% 20.40/5.27 | Equations (2580) can reduce 344 to:
% 20.40/5.27 | (2149) ~ (all_0_101_101 = e23)
% 20.40/5.27 |
% 20.40/5.27 | Equations (2580) can reduce 1781 to:
% 20.40/5.27 | (31) ~ (e23 = e22)
% 20.40/5.27 |
% 20.40/5.27 | Equations (2580) can reduce 438 to:
% 20.40/5.27 | (262) ~ (e23 = e20)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (105), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (525) all_0_101_101 = e22
% 20.40/5.27 |
% 20.40/5.27 | Equations (525) can reduce 59 to:
% 20.40/5.27 | (2214) ~ (all_0_99_99 = e22)
% 20.40/5.27 |
% 20.40/5.27 | Equations (525) can reduce 2149 to:
% 20.40/5.27 | (2206) ~ (e23 = e22)
% 20.40/5.27 |
% 20.40/5.27 | Simplifying 2206 yields:
% 20.40/5.27 | (31) ~ (e23 = e22)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (198), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (2221) all_0_98_98 = e23
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (2273,2221) yields a new equation:
% 20.40/5.27 | (440) e23 = e20
% 20.40/5.27 |
% 20.40/5.27 | Equations (440) can reduce 262 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (422) ~ (all_0_98_98 = e23)
% 20.40/5.27 | (2224) all_0_99_99 = e23 | all_0_101_101 = e23
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (2224), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (2225) all_0_99_99 = e23
% 20.40/5.27 |
% 20.40/5.27 | Equations (2225) can reduce 2214 to:
% 20.40/5.27 | (31) ~ (e23 = e22)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (5048), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (377) ~ (all_0_98_98 = e20)
% 20.40/5.27 |
% 20.40/5.27 | Equations (2273) can reduce 377 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (2273) all_0_98_98 = e20
% 20.40/5.27 | (436) all_0_101_101 = e23
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (525,436) yields a new equation:
% 20.40/5.27 | (527) e23 = e22
% 20.40/5.27 |
% 20.40/5.27 | Equations (527) can reduce 31 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (2229) ~ (all_0_99_99 = e23)
% 20.40/5.27 | (436) all_0_101_101 = e23
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (525,436) yields a new equation:
% 20.40/5.27 | (527) e23 = e22
% 20.40/5.27 |
% 20.40/5.27 | Equations (527) can reduce 31 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (409) ~ (all_0_101_101 = e22)
% 20.40/5.27 | (530) all_0_103_103 = e22 | all_0_106_106 = e22 | all_0_110_110 = e22
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (530), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (449) all_0_103_103 = e22
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (385,449) yields a new equation:
% 20.40/5.27 | (425) e22 = e20
% 20.40/5.27 |
% 20.40/5.27 | Equations (425) can reduce 111 to:
% 20.40/5.27 | (392) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (4893) ~ (all_0_103_103 = e22)
% 20.40/5.28 | (5026) all_0_106_106 = e22 | all_0_110_110 = e22
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (5026), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (5027) all_0_106_106 = e22
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (464,5027) yields a new equation:
% 20.40/5.28 | (433) e22 = e21
% 20.40/5.28 |
% 20.40/5.28 | Equations (433) can reduce 241 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (5030) ~ (all_0_106_106 = e22)
% 20.40/5.28 | (549) all_0_110_110 = e22
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (2580,549) yields a new equation:
% 20.40/5.28 | (526) e23 = e22
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 526 yields:
% 20.40/5.28 | (527) e23 = e22
% 20.40/5.28 |
% 20.40/5.28 | Equations (527) can reduce 31 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (481) ~ (all_0_110_110 = e23)
% 20.40/5.28 | (5123) all_0_110_110 = e22 | all_0_110_110 = e21
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (5123), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (549) all_0_110_110 = e22
% 20.40/5.28 |
% 20.40/5.28 | Equations (549) can reduce 1781 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (1781) ~ (all_0_110_110 = e22)
% 20.40/5.28 | (2346) all_0_110_110 = e21
% 20.40/5.28 |
% 20.40/5.28 | Equations (2346) can reduce 1786 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (2131) ~ (all_0_104_104 = e23)
% 20.40/5.28 | (2132) all_0_104_104 = e22 | all_0_104_104 = e21
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (2132), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (489) all_0_104_104 = e22
% 20.40/5.28 |
% 20.40/5.28 | Equations (489) can reduce 397 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (397) ~ (all_0_104_104 = e22)
% 20.40/5.28 | (431) all_0_104_104 = e21
% 20.40/5.28 |
% 20.40/5.28 | Equations (431) can reduce 495 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (5136) all_0_107_107 = e20 & all_0_110_110 = e23
% 20.40/5.28 |
% 20.40/5.28 | Applying alpha-rule on (5136) yields:
% 20.40/5.28 | (401) all_0_107_107 = e20
% 20.40/5.28 | (2580) all_0_110_110 = e23
% 20.40/5.28 |
% 20.40/5.28 | Equations (401) can reduce 478 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (5140) all_0_108_108 = e20 & all_0_110_110 = e22 & ( ~ (all_0_98_98 = e22) | all_0_99_99 = e23)
% 20.40/5.28 |
% 20.40/5.28 | Applying alpha-rule on (5140) yields:
% 20.40/5.28 | (457) all_0_108_108 = e20
% 20.40/5.28 | (549) all_0_110_110 = e22
% 20.40/5.28 | (5143) ~ (all_0_98_98 = e22) | all_0_99_99 = e23
% 20.40/5.28 |
% 20.40/5.28 | Equations (549) can reduce 1781 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (411) ~ (all_0_109_109 = e22)
% 20.40/5.28 | (462) all_0_109_109 = e21
% 20.40/5.28 |
% 20.40/5.28 | Equations (462) can reduce 130 to:
% 20.40/5.28 | (2144) ~ (all_0_100_100 = e21)
% 20.40/5.28 |
% 20.40/5.28 | Equations (462) can reduce 295 to:
% 20.40/5.28 | (5070) ~ (all_0_110_110 = e21)
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 5070 yields:
% 20.40/5.28 | (1786) ~ (all_0_110_110 = e21)
% 20.40/5.28 |
% 20.40/5.28 | Equations (462) can reduce 411 to:
% 20.40/5.28 | (467) ~ (e22 = e21)
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 467 yields:
% 20.40/5.28 | (241) ~ (e22 = e21)
% 20.40/5.28 |
% 20.40/5.28 | Equations (462) can reduce 188 to:
% 20.40/5.28 | (312) ~ (e21 = e20)
% 20.40/5.28 |
% 20.40/5.28 | From (462) and (11) follows:
% 20.40/5.28 | (477) op2(e20, e21) = e21
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (36), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (407) all_0_100_100 = e22
% 20.40/5.28 |
% 20.40/5.28 | Equations (407) can reduce 243 to:
% 20.40/5.28 | (2214) ~ (all_0_99_99 = e22)
% 20.40/5.28 |
% 20.40/5.28 | Equations (407) can reduce 2144 to:
% 20.40/5.28 | (241) ~ (e22 = e21)
% 20.40/5.28 |
% 20.40/5.28 | Equations (407) can reduce 95 to:
% 20.40/5.28 | (111) ~ (e22 = e20)
% 20.40/5.28 |
% 20.40/5.28 | From (407) and (178) follows:
% 20.40/5.28 | (413) op2(e23, e21) = e22
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (259), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (493) all_0_98_98 = e21
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (2273,493) yields a new equation:
% 20.40/5.28 | (2347) e21 = e20
% 20.40/5.28 |
% 20.40/5.28 | Equations (2347) can reduce 312 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (929) ~ (all_0_98_98 = e21)
% 20.40/5.28 | (2139) all_0_100_100 = e21 | all_0_101_101 = e21
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (242), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (532) all_0_107_107 = e22
% 20.40/5.28 |
% 20.40/5.28 | Equations (532) can reduce 536 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (536) ~ (all_0_107_107 = e22)
% 20.40/5.28 | (537) all_0_108_108 = e22 | all_0_109_109 = e22 | all_0_110_110 = e22
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (537), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (450) all_0_108_108 = e22
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (457,450) yields a new equation:
% 20.40/5.28 | (425) e22 = e20
% 20.40/5.28 |
% 20.40/5.28 | Equations (425) can reduce 111 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (514) ~ (all_0_108_108 = e22)
% 20.40/5.28 | (543) all_0_109_109 = e22 | all_0_110_110 = e22
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (543), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (544) all_0_109_109 = e22
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (544,462) yields a new equation:
% 20.40/5.28 | (545) e22 = e21
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 545 yields:
% 20.40/5.28 | (433) e22 = e21
% 20.40/5.28 |
% 20.40/5.28 | Equations (433) can reduce 241 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (411) ~ (all_0_109_109 = e22)
% 20.40/5.28 | (549) all_0_110_110 = e22
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (549,4933) yields a new equation:
% 20.40/5.28 | (5179) all_0_95_95 = e22
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (549,4934) yields a new equation:
% 20.40/5.28 | (5180) all_0_17_17 = e22
% 20.40/5.28 |
% 20.40/5.28 | Equations (549) can reduce 1786 to:
% 20.40/5.28 | (241) ~ (e22 = e21)
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (280) follows:
% 20.40/5.28 | (5182) h2(e10) = e22
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (4937) follows:
% 20.40/5.28 | (5183) h4(e10) = e22
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (4939) follows:
% 20.40/5.28 | (5184) op2(all_0_101_101, e22) = all_0_6_6
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (72) follows:
% 20.40/5.28 | (5185) op2(all_0_106_106, e22) = all_0_47_47
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (4942) follows:
% 20.40/5.28 | (5186) op2(e22, all_0_101_101) = all_0_20_20
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (213) follows:
% 20.40/5.28 | (5187) op2(e22, all_0_106_106) = all_0_58_58
% 20.40/5.28 |
% 20.40/5.28 | From (549)(549) and (250) follows:
% 20.40/5.28 | (555) op2(e22, e22) = all_0_97_97
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (4944) follows:
% 20.40/5.28 | (5189) op2(e22, e23) = all_0_22_22
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (74) follows:
% 20.40/5.28 | (557) op2(e22, e21) = all_0_60_60
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (301) follows:
% 20.40/5.28 | (558) op2(e22, e20) = all_0_81_81
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (4947) follows:
% 20.40/5.28 | (5192) op2(e23, e22) = all_0_11_11
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (19) follows:
% 20.40/5.28 | (560) op2(e21, e22) = all_0_51_51
% 20.40/5.28 |
% 20.40/5.28 | From (549) and (330) follows:
% 20.40/5.28 | (561) op2(e20, e22) = all_0_96_96
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (2139), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (428) all_0_100_100 = e21
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (428,407) yields a new equation:
% 20.40/5.28 | (433) e22 = e21
% 20.40/5.28 |
% 20.40/5.28 | Equations (433) can reduce 241 to:
% 20.40/5.28 | (392) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (2144) ~ (all_0_100_100 = e21)
% 20.40/5.28 | (2145) all_0_101_101 = e21
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (2145,4931) yields a new equation:
% 20.40/5.28 | (5200) all_0_94_94 = e21
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (2145,4935) yields a new equation:
% 20.40/5.28 | (5201) all_0_10_10 = e21
% 20.40/5.28 |
% 20.40/5.28 | Equations (2145) can reduce 59 to:
% 20.40/5.28 | (143) ~ (all_0_99_99 = e21)
% 20.40/5.28 |
% 20.40/5.28 | From (2145) and (4936) follows:
% 20.40/5.29 | (5203) h4(e13) = e21
% 20.40/5.29 |
% 20.40/5.29 | From (2145)(2145) and (4938) follows:
% 20.40/5.29 | (5204) op2(e21, e21) = all_0_0_0
% 20.40/5.29 |
% 20.40/5.29 | From (2145) and (4940) follows:
% 20.40/5.29 | (5205) op2(e21, e23) = all_0_2_2
% 20.40/5.29 |
% 20.40/5.29 | From (2145) and (5184) follows:
% 20.40/5.29 | (5206) op2(e21, e22) = all_0_6_6
% 20.40/5.29 |
% 20.40/5.29 | From (2145) and (4941) follows:
% 20.40/5.29 | (5207) op2(e21, e20) = all_0_4_4
% 20.40/5.29 |
% 20.40/5.29 | From (2145) and (4946) follows:
% 20.40/5.29 | (5208) op2(e23, e21) = all_0_8_8
% 20.40/5.29 |
% 20.40/5.29 | From (2145) and (2) follows:
% 20.40/5.29 | (5209) op2(e23, e20) = e21
% 20.40/5.29 |
% 20.40/5.29 | From (2145) and (5186) follows:
% 20.40/5.29 | (5210) op2(e22, e21) = all_0_20_20
% 20.40/5.29 |
% 20.40/5.29 | From (2145) and (4949) follows:
% 20.40/5.29 | (5211) op2(e20, e21) = all_0_13_13
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (166), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (376) all_0_99_99 = e20
% 20.40/5.29 |
% 20.40/5.29 | Equations (376) can reduce 2382 to:
% 20.40/5.29 | (392) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (2382) ~ (all_0_99_99 = e20)
% 20.40/5.29 | (2460) all_0_99_99 = e23 | all_0_99_99 = e22
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (2460), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (2225) all_0_99_99 = e23
% 20.40/5.29 |
% 20.40/5.29 | Equations (2225) can reduce 202 to:
% 20.40/5.29 | (506) ~ (all_0_105_105 = e23)
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 506 yields:
% 20.40/5.29 | (507) ~ (all_0_105_105 = e23)
% 20.40/5.29 |
% 20.40/5.29 | Equations (2225) can reduce 143 to:
% 20.40/5.29 | (275) ~ (e23 = e21)
% 20.40/5.29 |
% 20.40/5.29 | From (2225) and (351) follows:
% 20.40/5.29 | (2564) op2(e23, e22) = e23
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (282), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (509) all_0_105_105 = e23
% 20.40/5.29 |
% 20.40/5.29 | Equations (509) can reduce 507 to:
% 20.40/5.29 | (392) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (507) ~ (all_0_105_105 = e23)
% 20.40/5.29 | (512) all_0_105_105 = e22
% 20.40/5.29 |
% 20.40/5.29 | Equations (512) can reduce 113 to:
% 20.40/5.29 | (397) ~ (all_0_104_104 = e22)
% 20.40/5.29 |
% 20.40/5.29 | Equations (512) can reduce 507 to:
% 20.40/5.29 | (2206) ~ (e23 = e22)
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 2206 yields:
% 20.40/5.29 | (31) ~ (e23 = e22)
% 20.40/5.29 |
% 20.40/5.29 | From (512) and (100) follows:
% 20.40/5.29 | (517) op2(e21, e22) = e22
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (174), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (2576) all_0_106_106 = e23
% 20.40/5.29 |
% 20.40/5.29 | Equations (2576) can reduce 308 to:
% 20.40/5.29 | (2131) ~ (all_0_104_104 = e23)
% 20.40/5.29 |
% 20.40/5.29 | Equations (2576) can reduce 246 to:
% 20.40/5.29 | (262) ~ (e23 = e20)
% 20.40/5.29 |
% 20.40/5.29 | From (2576) and (73) follows:
% 20.40/5.29 | (5232) h2(e13) = e23
% 20.40/5.29 |
% 20.40/5.29 | From (2576)(2576) and (79) follows:
% 20.40/5.29 | (5233) op2(e23, e23) = all_0_41_41
% 20.40/5.29 |
% 20.40/5.29 | From (2576) and (5185) follows:
% 20.40/5.29 | (5234) op2(e23, e22) = all_0_47_47
% 20.40/5.29 |
% 20.40/5.29 | From (2576) and (120) follows:
% 20.40/5.29 | (5235) op2(e23, e21) = all_0_43_43
% 20.40/5.29 |
% 20.40/5.29 | From (2576) and (345) follows:
% 20.40/5.29 | (5236) op2(e23, e20) = all_0_45_45
% 20.40/5.29 |
% 20.40/5.29 | From (2576) and (5187) follows:
% 20.40/5.29 | (5237) op2(e22, e23) = all_0_58_58
% 20.40/5.29 |
% 20.40/5.29 | From (2576) and (252) follows:
% 20.40/5.29 | (5238) op2(e21, e23) = all_0_49_49
% 20.40/5.29 |
% 20.40/5.29 | From (2576) and (15) follows:
% 20.40/5.29 | (5239) op2(e21, e20) = e23
% 20.40/5.29 |
% 20.40/5.29 | From (2576) and (232) follows:
% 20.40/5.29 | (5240) op2(e20, e23) = all_0_53_53
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (57), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (505) all_0_104_104 = e23
% 20.40/5.29 |
% 20.40/5.29 | Equations (505) can reduce 2131 to:
% 20.40/5.29 | (392) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (2131) ~ (all_0_104_104 = e23)
% 20.40/5.29 | (2132) all_0_104_104 = e22 | all_0_104_104 = e21
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (346), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (401) all_0_107_107 = e20
% 20.40/5.29 |
% 20.40/5.29 | Equations (401) can reduce 478 to:
% 20.40/5.29 | (392) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (478) ~ (all_0_107_107 = e20)
% 20.40/5.29 | (5248) all_0_107_107 = e23 | all_0_107_107 = e22 | all_0_107_107 = e21
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (5248), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (437) all_0_107_107 = e23
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (437,4932) yields a new equation:
% 20.40/5.29 | (568) all_0_15_15 = e23
% 20.40/5.29 |
% 20.40/5.29 | From (437) and (171) follows:
% 20.40/5.29 | (5251) op2(e20, e23) = e23
% 20.40/5.29 |
% 20.55/5.29 +-Applying beta-rule and splitting (2132), into two cases.
% 20.55/5.29 |-Branch one:
% 20.55/5.29 | (489) all_0_104_104 = e22
% 20.55/5.29 |
% 20.55/5.29 | Equations (489) can reduce 397 to:
% 20.55/5.29 | (392) $false
% 20.55/5.29 |
% 20.55/5.29 |-The branch is then unsatisfiable
% 20.55/5.29 |-Branch two:
% 20.55/5.29 | (397) ~ (all_0_104_104 = e22)
% 20.55/5.29 | (431) all_0_104_104 = e21
% 20.55/5.29 |
% 20.55/5.29 | From (431) and (298) follows:
% 20.55/5.29 | (5256) op2(e21, e23) = e21
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e23, e23, all_0_41_41, e20 and discharging atoms op2(e23, e23) = all_0_41_41, op2(e23, e23) = e20, yields:
% 20.55/5.29 | (571) all_0_41_41 = e20
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e23, e22, all_0_47_47, all_0_11_11 and discharging atoms op2(e23, e22) = all_0_11_11, op2(e23, e22) = all_0_47_47, yields:
% 20.55/5.29 | (5258) all_0_11_11 = all_0_47_47
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e23, e22, e23, all_0_11_11 and discharging atoms op2(e23, e22) = all_0_11_11, op2(e23, e22) = e23, yields:
% 20.55/5.29 | (633) all_0_11_11 = e23
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e23, e21, all_0_43_43, all_0_8_8 and discharging atoms op2(e23, e21) = all_0_8_8, op2(e23, e21) = all_0_43_43, yields:
% 20.55/5.29 | (5260) all_0_8_8 = all_0_43_43
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e23, e21, e22, all_0_8_8 and discharging atoms op2(e23, e21) = all_0_8_8, op2(e23, e21) = e22, yields:
% 20.55/5.29 | (5261) all_0_8_8 = e22
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e23, e20, e21, all_0_45_45 and discharging atoms op2(e23, e20) = all_0_45_45, op2(e23, e20) = e21, yields:
% 20.55/5.29 | (575) all_0_45_45 = e21
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e22, e23, all_0_22_22, e22 and discharging atoms op2(e22, e23) = all_0_22_22, op2(e22, e23) = e22, yields:
% 20.55/5.29 | (2653) all_0_22_22 = e22
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e22, e23, all_0_58_58, all_0_22_22 and discharging atoms op2(e22, e23) = all_0_22_22, op2(e22, e23) = all_0_58_58, yields:
% 20.55/5.29 | (5264) all_0_22_22 = all_0_58_58
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e22, e22, all_0_97_97, e21 and discharging atoms op2(e22, e22) = all_0_97_97, op2(e22, e22) = e21, yields:
% 20.55/5.29 | (564) all_0_97_97 = e21
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e22, e21, all_0_20_20, e23 and discharging atoms op2(e22, e21) = all_0_20_20, op2(e22, e21) = e23, yields:
% 20.55/5.29 | (649) all_0_20_20 = e23
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e22, e21, all_0_60_60, all_0_20_20 and discharging atoms op2(e22, e21) = all_0_20_20, op2(e22, e21) = all_0_60_60, yields:
% 20.55/5.29 | (5267) all_0_20_20 = all_0_60_60
% 20.55/5.29 |
% 20.55/5.29 | Instantiating formula (64) with e22, e20, all_0_81_81, e20 and discharging atoms op2(e22, e20) = all_0_81_81, op2(e22, e20) = e20, yields:
% 20.55/5.29 | (567) all_0_81_81 = e20
% 20.55/5.29 |
% 20.55/5.30 | Instantiating formula (64) with e21, e23, all_0_49_49, all_0_2_2 and discharging atoms op2(e21, e23) = all_0_2_2, op2(e21, e23) = all_0_49_49, yields:
% 20.55/5.30 | (5269) all_0_2_2 = all_0_49_49
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (64) with e21, e23, e21, all_0_2_2 and discharging atoms op2(e21, e23) = all_0_2_2, op2(e21, e23) = e21, yields:
% 20.55/5.30 | (5270) all_0_2_2 = e21
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (64) with e21, e22, all_0_51_51, all_0_6_6 and discharging atoms op2(e21, e22) = all_0_6_6, op2(e21, e22) = all_0_51_51, yields:
% 20.55/5.30 | (5271) all_0_6_6 = all_0_51_51
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (64) with e21, e22, e22, all_0_6_6 and discharging atoms op2(e21, e22) = all_0_6_6, op2(e21, e22) = e22, yields:
% 20.55/5.30 | (2645) all_0_6_6 = e22
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (64) with e21, e21, all_0_0_0, e20 and discharging atoms op2(e21, e21) = all_0_0_0, op2(e21, e21) = e20, yields:
% 20.55/5.30 | (5273) all_0_0_0 = e20
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (64) with e21, e20, e23, all_0_4_4 and discharging atoms op2(e21, e20) = all_0_4_4, op2(e21, e20) = e23, yields:
% 20.55/5.30 | (638) all_0_4_4 = e23
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (64) with e20, e23, e23, all_0_53_53 and discharging atoms op2(e20, e23) = all_0_53_53, op2(e20, e23) = e23, yields:
% 20.55/5.30 | (5275) all_0_53_53 = e23
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (64) with e20, e22, all_0_96_96, e20 and discharging atoms op2(e20, e22) = all_0_96_96, op2(e20, e22) = e20, yields:
% 20.55/5.30 | (5276) all_0_96_96 = e20
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (64) with e20, e21, e21, all_0_13_13 and discharging atoms op2(e20, e21) = all_0_13_13, op2(e20, e21) = e21, yields:
% 20.55/5.30 | (5277) all_0_13_13 = e21
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (5270,5269) yields a new equation:
% 20.55/5.30 | (5278) all_0_49_49 = e21
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (5271,2645) yields a new equation:
% 20.55/5.30 | (582) all_0_51_51 = e22
% 20.55/5.30 |
% 20.55/5.30 | Simplifying 582 yields:
% 20.55/5.30 | (583) all_0_51_51 = e22
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (5260,5261) yields a new equation:
% 20.55/5.30 | (5281) all_0_43_43 = e22
% 20.55/5.30 |
% 20.55/5.30 | Simplifying 5281 yields:
% 20.55/5.30 | (5282) all_0_43_43 = e22
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (5258,633) yields a new equation:
% 20.55/5.30 | (5283) all_0_47_47 = e23
% 20.55/5.30 |
% 20.55/5.30 | Simplifying 5283 yields:
% 20.55/5.30 | (5284) all_0_47_47 = e23
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (649,5267) yields a new equation:
% 20.55/5.30 | (586) all_0_60_60 = e23
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (2653,5264) yields a new equation:
% 20.55/5.30 | (5286) all_0_58_58 = e22
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (564,362) yields a new equation:
% 20.55/5.30 | (5287) all_0_64_64 = e21
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (567,363) yields a new equation:
% 20.55/5.30 | (5288) all_0_62_62 = e20
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (5276,366) yields a new equation:
% 20.55/5.30 | (5289) all_0_56_56 = e20
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (564,4952) yields a new equation:
% 20.55/5.30 | (5290) all_0_26_26 = e21
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (567,4953) yields a new equation:
% 20.55/5.30 | (5291) all_0_24_24 = e20
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (5286,5264) yields a new equation:
% 20.55/5.30 | (2653) all_0_22_22 = e22
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (586,5267) yields a new equation:
% 20.55/5.30 | (649) all_0_20_20 = e23
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (5276,4954) yields a new equation:
% 20.55/5.30 | (5294) all_0_18_18 = e20
% 20.55/5.30 |
% 20.55/5.30 | Combining equations (5278,5269) yields a new equation:
% 20.55/5.30 | (5270) all_0_2_2 = e21
% 20.55/5.30 |
% 20.55/5.30 +-Applying beta-rule and splitting (338), into two cases.
% 20.55/5.30 |-Branch one:
% 20.55/5.30 | (693) all_0_113_113 = e12
% 20.55/5.30 |
% 20.55/5.30 | Equations (693) can reduce 186 to:
% 20.55/5.30 | (1219) ~ (all_0_111_111 = e12)
% 20.55/5.30 |
% 20.55/5.30 | Equations (693) can reduce 305 to:
% 20.55/5.30 | (694) ~ (all_0_112_112 = e12)
% 20.55/5.30 |
% 20.55/5.30 | Equations (693) can reduce 283 to:
% 20.55/5.30 | (1328) ~ (all_0_114_114 = e12)
% 20.55/5.30 |
% 20.55/5.30 | Simplifying 1328 yields:
% 20.55/5.30 | (683) ~ (all_0_114_114 = e12)
% 20.55/5.30 |
% 20.55/5.30 | Equations (693) can reduce 200 to:
% 20.55/5.30 | (695) ~ (all_0_122_122 = e12)
% 20.55/5.30 |
% 20.55/5.30 | Simplifying 695 yields:
% 20.55/5.30 | (696) ~ (all_0_122_122 = e12)
% 20.55/5.30 |
% 20.55/5.30 | Equations (693) can reduce 323 to:
% 20.55/5.30 | (147) ~ (e12 = e10)
% 20.55/5.30 |
% 20.55/5.30 | From (693) and (247) follows:
% 20.55/5.30 | (5304) h2(e12) = all_0_46_46
% 20.55/5.30 |
% 20.55/5.30 | From (693) and (13) follows:
% 20.55/5.30 | (1334) h3(e12) = all_0_30_30
% 20.55/5.30 |
% 20.55/5.30 | From (693) and (245) follows:
% 20.55/5.30 | (698) h4(e12) = all_0_5_5
% 20.55/5.30 |
% 20.55/5.30 +-Applying beta-rule and splitting (182), into two cases.
% 20.55/5.30 |-Branch one:
% 20.55/5.30 | (699) all_0_122_122 = e12
% 20.55/5.30 |
% 20.55/5.30 | Equations (699) can reduce 696 to:
% 20.55/5.30 | (392) $false
% 20.55/5.30 |
% 20.55/5.30 |-The branch is then unsatisfiable
% 20.55/5.30 |-Branch two:
% 20.55/5.30 | (696) ~ (all_0_122_122 = e12)
% 20.55/5.30 | (702) all_0_122_122 = e11
% 20.55/5.30 |
% 20.55/5.30 | Equations (702) can reduce 16 to:
% 20.55/5.30 | (1075) ~ (all_0_120_120 = e11)
% 20.55/5.30 |
% 20.55/5.30 | Equations (702) can reduce 140 to:
% 20.55/5.30 | (23) ~ (all_0_121_121 = e11)
% 20.55/5.30 |
% 20.55/5.30 | Equations (702) can reduce 293 to:
% 20.55/5.30 | (1025) ~ (e13 = e11)
% 20.55/5.30 |
% 20.55/5.30 | Simplifying 1025 yields:
% 20.55/5.30 | (341) ~ (e13 = e11)
% 20.55/5.30 |
% 20.55/5.30 | From (702) and (139) follows:
% 20.55/5.30 | (5315) h2(e11) = all_0_63_63
% 20.55/5.30 |
% 20.55/5.30 | From (702) and (27) follows:
% 20.55/5.30 | (1343) h3(e11) = all_0_39_39
% 20.55/5.30 |
% 20.55/5.30 | From (702) and (227) follows:
% 20.55/5.30 | (708) h4(e11) = all_0_25_25
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (12) with e12, all_0_46_46, e21 and discharging atoms h2(e12) = all_0_46_46, h2(e12) = e21, yields:
% 20.55/5.30 | (5318) all_0_46_46 = e21
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (12) with e11, all_0_63_63, e20 and discharging atoms h2(e11) = all_0_63_63, h2(e11) = e20, yields:
% 20.55/5.30 | (5319) all_0_63_63 = e20
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (68) with e12, all_0_30_30, e22 and discharging atoms h3(e12) = all_0_30_30, h3(e12) = e22, yields:
% 20.55/5.30 | (1346) all_0_30_30 = e22
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (68) with e11, all_0_39_39, e21 and discharging atoms h3(e11) = all_0_39_39, h3(e11) = e21, yields:
% 20.55/5.30 | (1347) all_0_39_39 = e21
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (32) with e12, all_0_5_5, e23 and discharging atoms h4(e12) = all_0_5_5, h4(e12) = e23, yields:
% 20.55/5.30 | (709) all_0_5_5 = e23
% 20.55/5.30 |
% 20.55/5.30 | Instantiating formula (32) with e11, all_0_25_25, e20 and discharging atoms h4(e11) = all_0_25_25, h4(e11) = e20, yields:
% 20.55/5.30 | (5323) all_0_25_25 = e20
% 20.55/5.30 |
% 20.55/5.30 | From (5318) and (5304) follows:
% 20.55/5.30 | (129) h2(e12) = e21
% 20.55/5.30 |
% 20.55/5.30 | From (5319) and (5315) follows:
% 20.55/5.30 | (333) h2(e11) = e20
% 20.55/5.30 |
% 20.55/5.30 | From (1346) and (1334) follows:
% 20.55/5.30 | (297) h3(e12) = e22
% 20.55/5.30 |
% 20.55/5.30 | From (1347) and (1343) follows:
% 20.55/5.30 | (353) h3(e11) = e21
% 20.55/5.30 |
% 20.55/5.30 | From (709) and (698) follows:
% 20.55/5.30 | (176) h4(e12) = e23
% 20.55/5.30 |
% 20.55/5.30 | From (5323) and (708) follows:
% 20.55/5.31 | (4922) h4(e11) = e20
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (285), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (682) all_0_116_116 = e12
% 20.55/5.31 |
% 20.55/5.31 | Equations (682) can reduce 195 to:
% 20.55/5.31 | (683) ~ (all_0_114_114 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (682) can reduce 78 to:
% 20.55/5.31 | (684) ~ (all_0_119_119 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 684 yields:
% 20.55/5.31 | (685) ~ (all_0_119_119 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (682) can reduce 126 to:
% 20.55/5.31 | (686) ~ (all_0_123_123 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 686 yields:
% 20.55/5.31 | (687) ~ (all_0_123_123 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (682) can reduce 63 to:
% 20.55/5.31 | (1052) ~ (e13 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 1052 yields:
% 20.55/5.31 | (278) ~ (e13 = e12)
% 20.55/5.31 |
% 20.55/5.31 | From (682) and (315) follows:
% 20.55/5.31 | (688) h4(e12) = all_0_12_12
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (125), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (669) all_0_115_115 = e10
% 20.55/5.31 |
% 20.55/5.31 | Equations (669) can reduce 286 to:
% 20.55/5.31 | (670) ~ (all_0_111_111 = e10)
% 20.55/5.31 |
% 20.55/5.31 | Equations (669) can reduce 152 to:
% 20.55/5.31 | (671) ~ (all_0_117_117 = e10)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 671 yields:
% 20.55/5.31 | (219) ~ (all_0_117_117 = e10)
% 20.55/5.31 |
% 20.55/5.31 | Equations (669) can reduce 256 to:
% 20.55/5.31 | (673) ~ (all_0_120_120 = e10)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 673 yields:
% 20.55/5.31 | (674) ~ (all_0_120_120 = e10)
% 20.55/5.31 |
% 20.55/5.31 | From (669) and (216) follows:
% 20.55/5.31 | (677) h4(e10) = all_0_9_9
% 20.55/5.31 |
% 20.55/5.31 | Instantiating formula (32) with e12, all_0_12_12, e23 and discharging atoms h4(e12) = all_0_12_12, h4(e12) = e23, yields:
% 20.55/5.31 | (689) all_0_12_12 = e23
% 20.55/5.31 |
% 20.55/5.31 | Instantiating formula (32) with e10, all_0_9_9, e22 and discharging atoms h4(e10) = all_0_9_9, h4(e10) = e22, yields:
% 20.55/5.31 | (5347) all_0_9_9 = e22
% 20.55/5.31 |
% 20.55/5.31 | From (689) and (688) follows:
% 20.55/5.31 | (176) h4(e12) = e23
% 20.55/5.31 |
% 20.55/5.31 | From (5347) and (677) follows:
% 20.55/5.31 | (5183) h4(e10) = e22
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (321), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (821) all_0_118_118 = e13
% 20.55/5.31 |
% 20.55/5.31 | Equations (821) can reduce 46 to:
% 20.55/5.31 | (967) ~ (all_0_112_112 = e13)
% 20.55/5.31 |
% 20.55/5.31 | Equations (821) can reduce 244 to:
% 20.55/5.31 | (978) ~ (all_0_117_117 = e13)
% 20.55/5.31 |
% 20.55/5.31 | Equations (821) can reduce 212 to:
% 20.55/5.31 | (3265) ~ (all_0_119_119 = e13)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 3265 yields:
% 20.55/5.31 | (1556) ~ (all_0_119_119 = e13)
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (335), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (828) all_0_112_112 = e13
% 20.55/5.31 |
% 20.55/5.31 | Equations (828) can reduce 967 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (967) ~ (all_0_112_112 = e13)
% 20.55/5.31 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (225), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (736) all_0_112_112 = e12
% 20.55/5.31 |
% 20.55/5.31 | Equations (736) can reduce 694 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (694) ~ (all_0_112_112 = e12)
% 20.55/5.31 | (1614) all_0_118_118 = e12 | all_0_121_121 = e12
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (193), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (1552) all_0_119_119 = e13
% 20.55/5.31 |
% 20.55/5.31 | Equations (1552) can reduce 1556 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (1556) ~ (all_0_119_119 = e13)
% 20.55/5.31 | (1849) all_0_119_119 = e12 | all_0_119_119 = e11
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (1849), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (1476) all_0_119_119 = e12
% 20.55/5.31 |
% 20.55/5.31 | Equations (1476) can reduce 685 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (685) ~ (all_0_119_119 = e12)
% 20.55/5.31 | (779) all_0_119_119 = e11
% 20.55/5.31 |
% 20.55/5.31 | Equations (779) can reduce 1556 to:
% 20.55/5.31 | (1025) ~ (e13 = e11)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 1025 yields:
% 20.55/5.31 | (341) ~ (e13 = e11)
% 20.55/5.31 |
% 20.55/5.31 | Equations (779) can reduce 685 to:
% 20.55/5.31 | (706) ~ (e12 = e11)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 706 yields:
% 20.55/5.31 | (299) ~ (e12 = e11)
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (102), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (813) all_0_117_117 = e12
% 20.55/5.31 |
% 20.55/5.31 | Equations (813) can reduce 978 to:
% 20.55/5.31 | (1052) ~ (e13 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 1052 yields:
% 20.55/5.31 | (278) ~ (e13 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (813) can reduce 219 to:
% 20.55/5.31 | (147) ~ (e12 = e10)
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (1614), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (824) all_0_118_118 = e12
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (821,824) yields a new equation:
% 20.55/5.31 | (1969) e13 = e12
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 1969 yields:
% 20.55/5.31 | (957) e13 = e12
% 20.55/5.31 |
% 20.55/5.31 | Equations (957) can reduce 278 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (1877) ~ (all_0_118_118 = e12)
% 20.55/5.31 | (765) all_0_121_121 = e12
% 20.55/5.31 |
% 20.55/5.31 | Equations (765) can reduce 208 to:
% 20.55/5.31 | (694) ~ (all_0_112_112 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (765) can reduce 292 to:
% 20.55/5.31 | (686) ~ (all_0_123_123 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 686 yields:
% 20.55/5.31 | (687) ~ (all_0_123_123 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (765) can reduce 23 to:
% 20.55/5.31 | (299) ~ (e12 = e11)
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (124), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (713) all_0_112_112 = e10
% 20.55/5.31 |
% 20.55/5.31 | Equations (713) can reduce 967 to:
% 20.55/5.31 | (675) ~ (e13 = e10)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 675 yields:
% 20.55/5.31 | (189) ~ (e13 = e10)
% 20.55/5.31 |
% 20.55/5.31 | Equations (713) can reduce 694 to:
% 20.55/5.31 | (716) ~ (e12 = e10)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 716 yields:
% 20.55/5.31 | (147) ~ (e12 = e10)
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (96), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (759) all_0_120_120 = e10
% 20.55/5.31 |
% 20.55/5.31 | Equations (759) can reduce 674 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (674) ~ (all_0_120_120 = e10)
% 20.55/5.31 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (1039), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (771) all_0_121_121 = e10
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (771,765) yields a new equation:
% 20.55/5.31 | (679) e12 = e10
% 20.55/5.31 |
% 20.55/5.31 | Equations (679) can reduce 147 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (1035) ~ (all_0_121_121 = e10)
% 20.55/5.31 | (726) all_0_123_123 = e10
% 20.55/5.31 |
% 20.55/5.31 | Equations (726) can reduce 267 to:
% 20.55/5.31 | (715) ~ (all_0_114_114 = e10)
% 20.55/5.31 |
% 20.55/5.31 | Equations (726) can reduce 687 to:
% 20.55/5.31 | (716) ~ (e12 = e10)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 716 yields:
% 20.55/5.31 | (147) ~ (e12 = e10)
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (264), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (752) all_0_114_114 = e13
% 20.55/5.31 |
% 20.55/5.31 | Equations (752) can reduce 715 to:
% 20.55/5.31 | (189) ~ (e13 = e10)
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (230), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (730), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (731), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (732), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (733), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (734), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.55/5.31 |
% 20.55/5.31 | Applying alpha-rule on (735) yields:
% 20.55/5.31 | (736) all_0_112_112 = e12
% 20.55/5.31 | (678) all_0_115_115 = e12
% 20.55/5.31 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.31 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (669,678) yields a new equation:
% 20.55/5.31 | (679) e12 = e10
% 20.55/5.31 |
% 20.55/5.31 | Equations (679) can reduce 147 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.55/5.31 |
% 20.55/5.31 | Applying alpha-rule on (742) yields:
% 20.55/5.31 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.55/5.31 | (744) all_0_117_117 = e11
% 20.55/5.31 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.55/5.31 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.31 | (747) all_0_113_113 = e11
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (813,744) yields a new equation:
% 20.55/5.31 | (748) e12 = e11
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 748 yields:
% 20.55/5.31 | (749) e12 = e11
% 20.55/5.31 |
% 20.55/5.31 | Equations (749) can reduce 299 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.55/5.31 |
% 20.55/5.31 | Applying alpha-rule on (751) yields:
% 20.55/5.31 | (752) all_0_114_114 = e13
% 20.55/5.31 | (753) all_0_120_120 = e13
% 20.55/5.31 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.31 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (726) can reduce 754 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.55/5.31 |
% 20.55/5.31 | Applying alpha-rule on (757) yields:
% 20.55/5.31 | (718) all_0_114_114 = e10
% 20.55/5.31 | (759) all_0_120_120 = e10
% 20.55/5.31 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.31 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (718,752) yields a new equation:
% 20.55/5.31 | (950) e13 = e10
% 20.55/5.31 |
% 20.55/5.31 | Equations (950) can reduce 189 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.55/5.31 |
% 20.55/5.31 | Applying alpha-rule on (763) yields:
% 20.55/5.31 | (682) all_0_116_116 = e12
% 20.55/5.31 | (765) all_0_121_121 = e12
% 20.55/5.31 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.31 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.55/5.31 |
% 20.55/5.31 | Equations (726) can reduce 754 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.55/5.31 |
% 20.55/5.31 | Applying alpha-rule on (769) yields:
% 20.55/5.31 | (722) all_0_116_116 = e10
% 20.55/5.31 | (771) all_0_121_121 = e10
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (771,765) yields a new equation:
% 20.55/5.31 | (679) e12 = e10
% 20.55/5.31 |
% 20.55/5.31 | Equations (679) can reduce 147 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.55/5.31 |
% 20.55/5.31 | Applying alpha-rule on (774) yields:
% 20.55/5.31 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.55/5.31 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.31 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.55/5.31 | (702) all_0_122_122 = e11
% 20.55/5.31 | (779) all_0_119_119 = e11
% 20.55/5.31 |
% 20.55/5.31 | Equations (726) can reduce 754 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (952) ~ (all_0_114_114 = e13)
% 20.55/5.31 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (953), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (1552) all_0_119_119 = e13
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (779,1552) yields a new equation:
% 20.55/5.31 | (1245) e13 = e11
% 20.55/5.31 |
% 20.55/5.31 | Equations (1245) can reduce 341 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (1556) ~ (all_0_119_119 = e13)
% 20.55/5.31 | (832) all_0_123_123 = e13
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (726,832) yields a new equation:
% 20.55/5.31 | (950) e13 = e10
% 20.55/5.31 |
% 20.55/5.31 | Equations (950) can reduce 189 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (781) ~ (all_0_112_112 = e10)
% 20.55/5.31 | (771) all_0_121_121 = e10
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (765,771) yields a new equation:
% 20.55/5.31 | (1004) e12 = e10
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 1004 yields:
% 20.55/5.31 | (679) e12 = e10
% 20.55/5.31 |
% 20.55/5.31 | Equations (679) can reduce 147 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (792) ~ (all_0_117_117 = e12)
% 20.55/5.31 | (816) all_0_118_118 = e12 | all_0_119_119 = e12
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (816), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.31 | (824) all_0_118_118 = e12
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (824,821) yields a new equation:
% 20.55/5.31 | (957) e13 = e12
% 20.55/5.31 |
% 20.55/5.31 | Equations (957) can reduce 278 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (1877) ~ (all_0_118_118 = e12)
% 20.55/5.31 | (1476) all_0_119_119 = e12
% 20.55/5.31 |
% 20.55/5.31 | Combining equations (1476,779) yields a new equation:
% 20.55/5.31 | (748) e12 = e11
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 748 yields:
% 20.55/5.31 | (749) e12 = e11
% 20.55/5.31 |
% 20.55/5.31 | Equations (749) can reduce 299 to:
% 20.55/5.31 | (392) $false
% 20.55/5.31 |
% 20.55/5.31 |-The branch is then unsatisfiable
% 20.55/5.31 |-Branch two:
% 20.55/5.31 | (819) ~ (all_0_118_118 = e13)
% 20.55/5.31 | (824) all_0_118_118 = e12
% 20.55/5.31 |
% 20.55/5.31 | Equations (824) can reduce 46 to:
% 20.55/5.31 | (694) ~ (all_0_112_112 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (824) can reduce 244 to:
% 20.55/5.31 | (792) ~ (all_0_117_117 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (824) can reduce 212 to:
% 20.55/5.31 | (684) ~ (all_0_119_119 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 684 yields:
% 20.55/5.31 | (685) ~ (all_0_119_119 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (824) can reduce 14 to:
% 20.55/5.31 | (1429) ~ (all_0_121_121 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 1429 yields:
% 20.55/5.31 | (1007) ~ (all_0_121_121 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (824) can reduce 819 to:
% 20.55/5.31 | (1052) ~ (e13 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Simplifying 1052 yields:
% 20.55/5.31 | (278) ~ (e13 = e12)
% 20.55/5.31 |
% 20.55/5.31 | Equations (824) can reduce 153 to:
% 20.55/5.31 | (299) ~ (e12 = e11)
% 20.55/5.31 |
% 20.55/5.31 | Equations (824) can reduce 290 to:
% 20.55/5.31 | (147) ~ (e12 = e10)
% 20.55/5.31 |
% 20.55/5.31 | From (824) and (317) follows:
% 20.55/5.31 | (827) h4(e12) = all_0_16_16
% 20.55/5.31 |
% 20.55/5.31 +-Applying beta-rule and splitting (337), into two cases.
% 20.55/5.31 |-Branch one:
% 20.55/5.32 | (791) all_0_120_120 = e12
% 20.55/5.32 |
% 20.55/5.32 | Equations (791) can reduce 270 to:
% 20.55/5.32 | (1219) ~ (all_0_111_111 = e12)
% 20.55/5.32 |
% 20.55/5.32 | Equations (791) can reduce 5 to:
% 20.55/5.32 | (1429) ~ (all_0_121_121 = e12)
% 20.55/5.32 |
% 20.55/5.32 | Simplifying 1429 yields:
% 20.55/5.32 | (1007) ~ (all_0_121_121 = e12)
% 20.55/5.32 |
% 20.55/5.32 | Equations (791) can reduce 1075 to:
% 20.55/5.32 | (299) ~ (e12 = e11)
% 20.55/5.32 |
% 20.55/5.32 | Equations (791) can reduce 674 to:
% 20.55/5.32 | (147) ~ (e12 = e10)
% 20.55/5.32 |
% 20.55/5.32 | From (791) and (127) follows:
% 20.55/5.32 | (793) h4(e12) = all_0_21_21
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (230), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (730), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (731), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (732), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (733), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (734), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.55/5.32 |
% 20.55/5.32 | Applying alpha-rule on (735) yields:
% 20.55/5.32 | (736) all_0_112_112 = e12
% 20.55/5.32 | (678) all_0_115_115 = e12
% 20.55/5.32 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.32 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (669,678) yields a new equation:
% 20.55/5.32 | (679) e12 = e10
% 20.55/5.32 |
% 20.55/5.32 | Equations (679) can reduce 147 to:
% 20.55/5.32 | (392) $false
% 20.55/5.32 |
% 20.55/5.32 |-The branch is then unsatisfiable
% 20.55/5.32 |-Branch two:
% 20.55/5.32 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.55/5.32 |
% 20.55/5.32 | Applying alpha-rule on (742) yields:
% 20.55/5.32 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.55/5.32 | (744) all_0_117_117 = e11
% 20.55/5.32 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.55/5.32 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.32 | (747) all_0_113_113 = e11
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (747,693) yields a new equation:
% 20.55/5.32 | (749) e12 = e11
% 20.55/5.32 |
% 20.55/5.32 | Equations (749) can reduce 299 to:
% 20.55/5.32 | (392) $false
% 20.55/5.32 |
% 20.55/5.32 |-The branch is then unsatisfiable
% 20.55/5.32 |-Branch two:
% 20.55/5.32 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.55/5.32 |
% 20.55/5.32 | Applying alpha-rule on (751) yields:
% 20.55/5.32 | (752) all_0_114_114 = e13
% 20.55/5.32 | (753) all_0_120_120 = e13
% 20.55/5.32 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.32 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (753,791) yields a new equation:
% 20.55/5.32 | (1969) e13 = e12
% 20.55/5.32 |
% 20.55/5.32 | Simplifying 1969 yields:
% 20.55/5.32 | (957) e13 = e12
% 20.55/5.32 |
% 20.55/5.32 | Equations (957) can reduce 278 to:
% 20.55/5.32 | (392) $false
% 20.55/5.32 |
% 20.55/5.32 |-The branch is then unsatisfiable
% 20.55/5.32 |-Branch two:
% 20.55/5.32 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.55/5.32 |
% 20.55/5.32 | Applying alpha-rule on (757) yields:
% 20.55/5.32 | (718) all_0_114_114 = e10
% 20.55/5.32 | (759) all_0_120_120 = e10
% 20.55/5.32 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.32 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (759,791) yields a new equation:
% 20.55/5.32 | (679) e12 = e10
% 20.55/5.32 |
% 20.55/5.32 | Equations (679) can reduce 147 to:
% 20.55/5.32 | (392) $false
% 20.55/5.32 |
% 20.55/5.32 |-The branch is then unsatisfiable
% 20.55/5.32 |-Branch two:
% 20.55/5.32 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.55/5.32 |
% 20.55/5.32 | Applying alpha-rule on (763) yields:
% 20.55/5.32 | (682) all_0_116_116 = e12
% 20.55/5.32 | (765) all_0_121_121 = e12
% 20.55/5.32 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.32 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.55/5.32 |
% 20.55/5.32 | Equations (765) can reduce 1007 to:
% 20.55/5.32 | (392) $false
% 20.55/5.32 |
% 20.55/5.32 |-The branch is then unsatisfiable
% 20.55/5.32 |-Branch two:
% 20.55/5.32 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.55/5.32 |
% 20.55/5.32 | Applying alpha-rule on (769) yields:
% 20.55/5.32 | (722) all_0_116_116 = e10
% 20.55/5.32 | (771) all_0_121_121 = e10
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (682,722) yields a new equation:
% 20.55/5.32 | (1004) e12 = e10
% 20.55/5.32 |
% 20.55/5.32 | Simplifying 1004 yields:
% 20.55/5.32 | (679) e12 = e10
% 20.55/5.32 |
% 20.55/5.32 | Equations (679) can reduce 147 to:
% 20.55/5.32 | (392) $false
% 20.55/5.32 |
% 20.55/5.32 |-The branch is then unsatisfiable
% 20.55/5.32 |-Branch two:
% 20.55/5.32 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.55/5.32 |
% 20.55/5.32 | Applying alpha-rule on (774) yields:
% 20.55/5.32 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.55/5.32 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.32 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.55/5.32 | (702) all_0_122_122 = e11
% 20.55/5.32 | (779) all_0_119_119 = e11
% 20.55/5.32 |
% 20.55/5.32 | Equations (779) can reduce 91 to:
% 20.55/5.32 | (982) ~ (all_0_117_117 = e11)
% 20.55/5.32 |
% 20.55/5.32 | Equations (779) can reduce 685 to:
% 20.55/5.32 | (706) ~ (e12 = e11)
% 20.55/5.32 |
% 20.55/5.32 | Simplifying 706 yields:
% 20.55/5.32 | (299) ~ (e12 = e11)
% 20.55/5.32 |
% 20.55/5.32 | From (779) and (254) follows:
% 20.55/5.32 | (812) h4(e11) = all_0_19_19
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (224), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (817) all_0_117_117 = e13
% 20.55/5.32 |
% 20.55/5.32 | Equations (817) can reduce 167 to:
% 20.55/5.32 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.32 |
% 20.55/5.32 | Equations (817) can reduce 982 to:
% 20.55/5.32 | (341) ~ (e13 = e11)
% 20.55/5.32 |
% 20.55/5.32 | Equations (817) can reduce 219 to:
% 20.55/5.32 | (189) ~ (e13 = e10)
% 20.55/5.32 |
% 20.55/5.32 | From (817) and (75) follows:
% 20.55/5.32 | (820) h4(e13) = all_0_14_14
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (96), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (759) all_0_120_120 = e10
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (791,759) yields a new equation:
% 20.55/5.32 | (1004) e12 = e10
% 20.55/5.32 |
% 20.55/5.32 | Simplifying 1004 yields:
% 20.55/5.32 | (679) e12 = e10
% 20.55/5.32 |
% 20.55/5.32 | Equations (679) can reduce 147 to:
% 20.55/5.32 | (392) $false
% 20.55/5.32 |
% 20.55/5.32 |-The branch is then unsatisfiable
% 20.55/5.32 |-Branch two:
% 20.55/5.32 | (674) ~ (all_0_120_120 = e10)
% 20.55/5.32 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (43), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (832) all_0_123_123 = e13
% 20.55/5.32 |
% 20.55/5.32 | Equations (832) can reduce 267 to:
% 20.55/5.32 | (952) ~ (all_0_114_114 = e13)
% 20.55/5.32 |
% 20.55/5.32 | Equations (832) can reduce 754 to:
% 20.55/5.32 | (189) ~ (e13 = e10)
% 20.55/5.32 |
% 20.55/5.32 | From (832) and (249) follows:
% 20.55/5.32 | (833) h4(e13) = all_0_27_27
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (1039), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (771) all_0_121_121 = e10
% 20.55/5.32 |
% 20.55/5.32 | Equations (771) can reduce 208 to:
% 20.55/5.32 | (781) ~ (all_0_112_112 = e10)
% 20.55/5.32 |
% 20.55/5.32 | From (771) and (331) follows:
% 20.55/5.32 | (786) h4(e10) = all_0_23_23
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (50), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (787) all_0_111_111 = e10
% 20.55/5.32 |
% 20.55/5.32 | Equations (787) can reduce 670 to:
% 20.55/5.32 | (392) $false
% 20.55/5.32 |
% 20.55/5.32 |-The branch is then unsatisfiable
% 20.55/5.32 |-Branch two:
% 20.55/5.32 | (670) ~ (all_0_111_111 = e10)
% 20.55/5.32 | (790) all_0_112_112 = e10 | all_0_114_114 = e10
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (71), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (718) all_0_114_114 = e10
% 20.55/5.32 |
% 20.55/5.32 | Equations (718) can reduce 207 to:
% 20.55/5.32 | (781) ~ (all_0_112_112 = e10)
% 20.55/5.32 |
% 20.55/5.32 | From (718) and (318) follows:
% 20.55/5.32 | (801) h4(e10) = all_0_7_7
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (335), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (828) all_0_112_112 = e13
% 20.55/5.32 |
% 20.55/5.32 | Equations (828) can reduce 28 to:
% 20.55/5.32 | (341) ~ (e13 = e11)
% 20.55/5.32 |
% 20.55/5.32 | From (828) and (17) follows:
% 20.55/5.32 | (831) h4(e13) = all_0_3_3
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (172), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (834) all_0_111_111 = e11
% 20.55/5.32 |
% 20.55/5.32 | From (834) and (314) follows:
% 20.55/5.32 | (835) h4(e11) = all_0_1_1
% 20.55/5.32 |
% 20.55/5.32 | Instantiating formula (32) with e13, all_0_14_14, e21 and discharging atoms h4(e13) = all_0_14_14, h4(e13) = e21, yields:
% 20.55/5.32 | (5591) all_0_14_14 = e21
% 20.55/5.32 |
% 20.55/5.32 | Instantiating formula (32) with e13, all_0_14_14, all_0_3_3 and discharging atoms h4(e13) = all_0_3_3, h4(e13) = all_0_14_14, yields:
% 20.55/5.32 | (837) all_0_3_3 = all_0_14_14
% 20.55/5.32 |
% 20.55/5.32 | Instantiating formula (32) with e13, all_0_27_27, all_0_3_3 and discharging atoms h4(e13) = all_0_3_3, h4(e13) = all_0_27_27, yields:
% 20.55/5.32 | (838) all_0_3_3 = all_0_27_27
% 20.55/5.32 |
% 20.55/5.32 | Instantiating formula (32) with e12, all_0_16_16, e23 and discharging atoms h4(e12) = all_0_16_16, h4(e12) = e23, yields:
% 20.55/5.32 | (839) all_0_16_16 = e23
% 20.55/5.32 |
% 20.55/5.32 | Instantiating formula (32) with e12, all_0_21_21, all_0_16_16 and discharging atoms h4(e12) = all_0_16_16, h4(e12) = all_0_21_21, yields:
% 20.55/5.32 | (840) all_0_16_16 = all_0_21_21
% 20.55/5.32 |
% 20.55/5.32 | Instantiating formula (32) with e11, all_0_1_1, e20 and discharging atoms h4(e11) = all_0_1_1, h4(e11) = e20, yields:
% 20.55/5.32 | (5596) all_0_1_1 = e20
% 20.55/5.32 |
% 20.55/5.32 | Instantiating formula (32) with e11, all_0_19_19, all_0_1_1 and discharging atoms h4(e11) = all_0_1_1, h4(e11) = all_0_19_19, yields:
% 20.55/5.32 | (842) all_0_1_1 = all_0_19_19
% 20.55/5.32 |
% 20.55/5.32 | Instantiating formula (32) with e10, all_0_7_7, e22 and discharging atoms h4(e10) = all_0_7_7, h4(e10) = e22, yields:
% 20.55/5.32 | (4499) all_0_7_7 = e22
% 20.55/5.32 |
% 20.55/5.32 | Instantiating formula (32) with e10, all_0_23_23, all_0_7_7 and discharging atoms h4(e10) = all_0_7_7, h4(e10) = all_0_23_23, yields:
% 20.55/5.32 | (844) all_0_7_7 = all_0_23_23
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (5596,842) yields a new equation:
% 20.55/5.32 | (5600) all_0_19_19 = e20
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (837,838) yields a new equation:
% 20.55/5.32 | (846) all_0_14_14 = all_0_27_27
% 20.55/5.32 |
% 20.55/5.32 | Simplifying 846 yields:
% 20.55/5.32 | (847) all_0_14_14 = all_0_27_27
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (4499,844) yields a new equation:
% 20.55/5.32 | (4495) all_0_23_23 = e22
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (5591,847) yields a new equation:
% 20.55/5.32 | (5604) all_0_27_27 = e21
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (839,840) yields a new equation:
% 20.55/5.32 | (850) all_0_21_21 = e23
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (850,840) yields a new equation:
% 20.55/5.32 | (839) all_0_16_16 = e23
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (5604,847) yields a new equation:
% 20.55/5.32 | (5591) all_0_14_14 = e21
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (4495,844) yields a new equation:
% 20.55/5.32 | (4499) all_0_7_7 = e22
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (5604,838) yields a new equation:
% 20.55/5.32 | (5609) all_0_3_3 = e21
% 20.55/5.32 |
% 20.55/5.32 | Combining equations (5600,842) yields a new equation:
% 20.55/5.32 | (5596) all_0_1_1 = e20
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (342), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (856) ~ (all_0_0_0 = all_0_1_1)
% 20.55/5.32 |
% 20.55/5.32 | Equations (5273,5596) can reduce 856 to:
% 20.55/5.32 | (392) $false
% 20.55/5.32 |
% 20.55/5.32 |-The branch is then unsatisfiable
% 20.55/5.32 |-Branch two:
% 20.55/5.32 | (858) all_0_0_0 = all_0_1_1
% 20.55/5.32 | (859) ~ (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_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.32 |
% 20.55/5.32 +-Applying beta-rule and splitting (859), into two cases.
% 20.55/5.32 |-Branch one:
% 20.55/5.32 | (860) ~ (all_0_2_2 = all_0_3_3)
% 20.55/5.32 |
% 20.55/5.32 | Equations (5270,5609) can reduce 860 to:
% 20.55/5.32 | (392) $false
% 20.55/5.32 |
% 20.55/5.32 |-The branch is then unsatisfiable
% 20.55/5.32 |-Branch two:
% 20.55/5.32 | (862) all_0_2_2 = all_0_3_3
% 20.55/5.32 | (863) ~ (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_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (863), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (864) ~ (all_0_4_4 = all_0_5_5)
% 20.55/5.33 |
% 20.55/5.33 | Equations (638,709) can reduce 864 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (866) all_0_4_4 = all_0_5_5
% 20.55/5.33 | (867) ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (867), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (868) ~ (all_0_6_6 = all_0_7_7)
% 20.55/5.33 |
% 20.55/5.33 | Equations (2645,4499) can reduce 868 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (870) all_0_6_6 = all_0_7_7
% 20.55/5.33 | (871) ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (871), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (872) ~ (all_0_8_8 = all_0_9_9)
% 20.55/5.33 |
% 20.55/5.33 | Equations (5261,5347) can reduce 872 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (874) all_0_8_8 = all_0_9_9
% 20.55/5.33 | (875) ~ (all_0_10_10 = all_0_94_94) | ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (875), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (876) ~ (all_0_10_10 = all_0_94_94)
% 20.55/5.33 |
% 20.55/5.33 | Equations (5201,5200) can reduce 876 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (364) all_0_10_10 = all_0_94_94
% 20.55/5.33 | (879) ~ (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_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 | Combining equations (364,5201) yields a new equation:
% 20.55/5.33 | (5635) all_0_94_94 = e21
% 20.55/5.33 |
% 20.55/5.33 | Simplifying 5635 yields:
% 20.55/5.33 | (5200) all_0_94_94 = e21
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (879), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (882) ~ (all_0_11_11 = all_0_12_12)
% 20.55/5.33 |
% 20.55/5.33 | Equations (633,689) can reduce 882 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (884) all_0_11_11 = all_0_12_12
% 20.55/5.33 | (885) ~ (all_0_13_13 = all_0_14_14) | ~ (all_0_15_15 = all_0_16_16) | ~ (all_0_17_17 = all_0_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (885), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (886) ~ (all_0_13_13 = all_0_14_14)
% 20.55/5.33 |
% 20.55/5.33 | Equations (5277,5591) can reduce 886 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (888) all_0_13_13 = all_0_14_14
% 20.55/5.33 | (889) ~ (all_0_15_15 = all_0_16_16) | ~ (all_0_17_17 = all_0_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (889), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (890) ~ (all_0_15_15 = all_0_16_16)
% 20.55/5.33 |
% 20.55/5.33 | Equations (568,839) can reduce 890 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (892) all_0_15_15 = all_0_16_16
% 20.55/5.33 | (893) ~ (all_0_17_17 = all_0_95_95) | ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (893), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (894) ~ (all_0_17_17 = all_0_95_95)
% 20.55/5.33 |
% 20.55/5.33 | Equations (5180,5179) can reduce 894 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (360) all_0_17_17 = all_0_95_95
% 20.55/5.33 | (897) ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 | Combining equations (360,5180) yields a new equation:
% 20.55/5.33 | (5653) all_0_95_95 = e22
% 20.55/5.33 |
% 20.55/5.33 | Simplifying 5653 yields:
% 20.55/5.33 | (5179) all_0_95_95 = e22
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (897), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (900) ~ (all_0_18_18 = all_0_19_19)
% 20.55/5.33 |
% 20.55/5.33 | Equations (5294,5600) can reduce 900 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (902) all_0_18_18 = all_0_19_19
% 20.55/5.33 | (903) ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (903), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (904) ~ (all_0_20_20 = all_0_21_21)
% 20.55/5.33 |
% 20.55/5.33 | Equations (649,850) can reduce 904 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (906) all_0_20_20 = all_0_21_21
% 20.55/5.33 | (907) ~ (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_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (907), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (908) ~ (all_0_22_22 = all_0_23_23)
% 20.55/5.33 |
% 20.55/5.33 | Equations (2653,4495) can reduce 908 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (910) all_0_22_22 = all_0_23_23
% 20.55/5.33 | (911) ~ (all_0_24_24 = all_0_25_25) | ~ (all_0_26_26 = all_0_27_27) | ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (911), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (912) ~ (all_0_24_24 = all_0_25_25)
% 20.55/5.33 |
% 20.55/5.33 | Equations (5291,5323) can reduce 912 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (914) all_0_24_24 = all_0_25_25
% 20.55/5.33 | (915) ~ (all_0_26_26 = all_0_27_27) | ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (915), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (916) ~ (all_0_26_26 = all_0_27_27)
% 20.55/5.33 |
% 20.55/5.33 | Equations (5290,5604) can reduce 916 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (918) all_0_26_26 = all_0_27_27
% 20.55/5.33 | (919) ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (919), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (920) ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21))
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (920), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (921) ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_98_98 = e22)
% 20.55/5.33 |
% 20.55/5.33 | Applying alpha-rule on (921) yields:
% 20.55/5.33 | (922) ~ (all_0_94_94 = e22)
% 20.55/5.33 | (923) ~ (all_0_95_95 = e22)
% 20.55/5.33 | (395) ~ (all_0_98_98 = e22)
% 20.55/5.33 |
% 20.55/5.33 | Equations (5179) can reduce 923 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (926) ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_98_98 = e21)
% 20.55/5.33 |
% 20.55/5.33 | Applying alpha-rule on (926) yields:
% 20.55/5.33 | (927) ~ (all_0_94_94 = e21)
% 20.55/5.33 | (928) ~ (all_0_95_95 = e21)
% 20.55/5.33 | (929) ~ (all_0_98_98 = e21)
% 20.55/5.33 |
% 20.55/5.33 | Equations (5200) can reduce 927 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (931) ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_98_98 = e20)
% 20.55/5.33 |
% 20.55/5.33 | Applying alpha-rule on (931) yields:
% 20.55/5.33 | (932) ~ (all_0_94_94 = e20)
% 20.55/5.33 | (933) ~ (all_0_95_95 = e20)
% 20.55/5.33 | (377) ~ (all_0_98_98 = e20)
% 20.55/5.33 |
% 20.55/5.33 | Equations (2273) can reduce 377 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (936) ~ (all_0_111_111 = e11)
% 20.55/5.33 | (937) all_0_113_113 = e11 | all_0_114_114 = e11
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (155), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (834) all_0_111_111 = e11
% 20.55/5.33 |
% 20.55/5.33 | Equations (834) can reduce 936 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (936) ~ (all_0_111_111 = e11)
% 20.55/5.33 | (1577) all_0_117_117 = e11 | all_0_120_120 = e11
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (1577), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (744) all_0_117_117 = e11
% 20.55/5.33 |
% 20.55/5.33 | Combining equations (817,744) yields a new equation:
% 20.55/5.33 | (1244) e13 = e11
% 20.55/5.33 |
% 20.55/5.33 | Simplifying 1244 yields:
% 20.55/5.33 | (1245) e13 = e11
% 20.55/5.33 |
% 20.55/5.33 | Equations (1245) can reduce 341 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (982) ~ (all_0_117_117 = e11)
% 20.55/5.33 | (1079) all_0_120_120 = e11
% 20.55/5.33 |
% 20.55/5.33 | Combining equations (791,1079) yields a new equation:
% 20.55/5.33 | (748) e12 = e11
% 20.55/5.33 |
% 20.55/5.33 | Simplifying 748 yields:
% 20.55/5.33 | (749) e12 = e11
% 20.55/5.33 |
% 20.55/5.33 | Equations (749) can reduce 299 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (967) ~ (all_0_112_112 = e13)
% 20.55/5.33 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (972), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (736) all_0_112_112 = e12
% 20.55/5.33 |
% 20.55/5.33 | Equations (736) can reduce 694 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (694) ~ (all_0_112_112 = e12)
% 20.55/5.33 | (713) all_0_112_112 = e10
% 20.55/5.33 |
% 20.55/5.33 | Equations (713) can reduce 781 to:
% 20.55/5.33 | (392) $false
% 20.55/5.33 |
% 20.55/5.33 |-The branch is then unsatisfiable
% 20.55/5.33 |-Branch two:
% 20.55/5.33 | (715) ~ (all_0_114_114 = e10)
% 20.55/5.33 | (721) all_0_116_116 = e10 | all_0_123_123 = e10
% 20.55/5.33 |
% 20.55/5.33 +-Applying beta-rule and splitting (335), into two cases.
% 20.55/5.33 |-Branch one:
% 20.55/5.33 | (828) all_0_112_112 = e13
% 20.55/5.33 |
% 20.55/5.34 | Equations (828) can reduce 781 to:
% 20.55/5.34 | (189) ~ (e13 = e10)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (790), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (713) all_0_112_112 = e10
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (828,713) yields a new equation:
% 20.55/5.34 | (949) e13 = e10
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 949 yields:
% 20.55/5.34 | (950) e13 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (950) can reduce 189 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (781) ~ (all_0_112_112 = e10)
% 20.55/5.34 | (718) all_0_114_114 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (718) can reduce 715 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (967) ~ (all_0_112_112 = e13)
% 20.55/5.34 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (155), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (834) all_0_111_111 = e11
% 20.55/5.34 |
% 20.55/5.34 | Equations (834) can reduce 738 to:
% 20.55/5.34 | (1025) ~ (e13 = e11)
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 1025 yields:
% 20.55/5.34 | (341) ~ (e13 = e11)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (132), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (1176) all_0_111_111 = e13
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (834,1176) yields a new equation:
% 20.55/5.34 | (1245) e13 = e11
% 20.55/5.34 |
% 20.55/5.34 | Equations (1245) can reduce 341 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.34 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (354), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (828) all_0_112_112 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (828) can reduce 967 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (967) ~ (all_0_112_112 = e13)
% 20.55/5.34 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (266), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (752) all_0_114_114 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (752) can reduce 952 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (952) ~ (all_0_114_114 = e13)
% 20.55/5.34 | (3336) all_0_114_114 = e12 | all_0_114_114 = e11 | all_0_114_114 = e10
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (1179), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (828) all_0_112_112 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (828) can reduce 967 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (967) ~ (all_0_112_112 = e13)
% 20.55/5.34 | (752) all_0_114_114 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (752) can reduce 952 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (936) ~ (all_0_111_111 = e11)
% 20.55/5.34 | (1577) all_0_117_117 = e11 | all_0_120_120 = e11
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (110), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (1176) all_0_111_111 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (1176) can reduce 738 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.34 | (3112) all_0_111_111 = e12 | all_0_111_111 = e11 | all_0_111_111 = e10
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (3112), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (1216) all_0_111_111 = e12
% 20.55/5.34 |
% 20.55/5.34 | Equations (1216) can reduce 1219 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (1219) ~ (all_0_111_111 = e12)
% 20.55/5.34 | (5756) all_0_111_111 = e11 | all_0_111_111 = e10
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (172), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (834) all_0_111_111 = e11
% 20.55/5.34 |
% 20.55/5.34 | Equations (834) can reduce 936 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (936) ~ (all_0_111_111 = e11)
% 20.55/5.34 | (937) all_0_113_113 = e11 | all_0_114_114 = e11
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (5756), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (787) all_0_111_111 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (787) can reduce 670 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (670) ~ (all_0_111_111 = e10)
% 20.55/5.34 | (834) all_0_111_111 = e11
% 20.55/5.34 |
% 20.55/5.34 | Equations (834) can reduce 936 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (1035) ~ (all_0_121_121 = e10)
% 20.55/5.34 | (726) all_0_123_123 = e10
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (832,726) yields a new equation:
% 20.55/5.34 | (949) e13 = e10
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 949 yields:
% 20.55/5.34 | (950) e13 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (950) can reduce 189 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (946) ~ (all_0_123_123 = e13)
% 20.55/5.34 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (264), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (752) all_0_114_114 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (752) can reduce 207 to:
% 20.55/5.34 | (967) ~ (all_0_112_112 = e13)
% 20.55/5.34 |
% 20.55/5.34 | Equations (752) can reduce 683 to:
% 20.55/5.34 | (278) ~ (e13 = e12)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (71), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (718) all_0_114_114 = e10
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (752,718) yields a new equation:
% 20.55/5.34 | (949) e13 = e10
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 949 yields:
% 20.55/5.34 | (950) e13 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (950) can reduce 189 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (715) ~ (all_0_114_114 = e10)
% 20.55/5.34 | (721) all_0_116_116 = e10 | all_0_123_123 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (752) can reduce 715 to:
% 20.55/5.34 | (189) ~ (e13 = e10)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (335), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (828) all_0_112_112 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (828) can reduce 967 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (967) ~ (all_0_112_112 = e13)
% 20.55/5.34 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (354), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (828) all_0_112_112 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (828) can reduce 967 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (967) ~ (all_0_112_112 = e13)
% 20.55/5.34 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (357), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (753) all_0_120_120 = e13
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (753,791) yields a new equation:
% 20.55/5.34 | (1969) e13 = e12
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 1969 yields:
% 20.55/5.34 | (957) e13 = e12
% 20.55/5.34 |
% 20.55/5.34 | Equations (957) can reduce 278 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (959) ~ (all_0_120_120 = e13)
% 20.55/5.34 | (960) all_0_121_121 = e13 | all_0_123_123 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (791) can reduce 959 to:
% 20.55/5.34 | (1052) ~ (e13 = e12)
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 1052 yields:
% 20.55/5.34 | (278) ~ (e13 = e12)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (968), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (821) all_0_118_118 = e13
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (824,821) yields a new equation:
% 20.55/5.34 | (957) e13 = e12
% 20.55/5.34 |
% 20.55/5.34 | Equations (957) can reduce 278 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (819) ~ (all_0_118_118 = e13)
% 20.55/5.34 | (961) all_0_121_121 = e13
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (124), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (713) all_0_112_112 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (713) can reduce 694 to:
% 20.55/5.34 | (716) ~ (e12 = e10)
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 716 yields:
% 20.55/5.34 | (147) ~ (e12 = e10)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (721), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (722) all_0_116_116 = e10
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (682,722) yields a new equation:
% 20.55/5.34 | (1004) e12 = e10
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 1004 yields:
% 20.55/5.34 | (679) e12 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (679) can reduce 147 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (725) ~ (all_0_116_116 = e10)
% 20.55/5.34 | (726) all_0_123_123 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (726) can reduce 754 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (781) ~ (all_0_112_112 = e10)
% 20.55/5.34 | (771) all_0_121_121 = e10
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (961,771) yields a new equation:
% 20.55/5.34 | (949) e13 = e10
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 949 yields:
% 20.55/5.34 | (950) e13 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (950) can reduce 189 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (952) ~ (all_0_114_114 = e13)
% 20.55/5.34 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (953), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (1552) all_0_119_119 = e13
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (779,1552) yields a new equation:
% 20.55/5.34 | (1245) e13 = e11
% 20.55/5.34 |
% 20.55/5.34 | Equations (1245) can reduce 341 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (1556) ~ (all_0_119_119 = e13)
% 20.55/5.34 | (832) all_0_123_123 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (832) can reduce 946 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (978) ~ (all_0_117_117 = e13)
% 20.55/5.34 | (3089) all_0_118_118 = e13 | all_0_119_119 = e13
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (3089), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (821) all_0_118_118 = e13
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (824,821) yields a new equation:
% 20.55/5.34 | (957) e13 = e12
% 20.55/5.34 |
% 20.55/5.34 | Equations (957) can reduce 278 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (819) ~ (all_0_118_118 = e13)
% 20.55/5.34 | (1552) all_0_119_119 = e13
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (779,1552) yields a new equation:
% 20.55/5.34 | (1245) e13 = e11
% 20.55/5.34 |
% 20.55/5.34 | Equations (1245) can reduce 341 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (1001) ~ (all_0_120_120 = e12)
% 20.55/5.34 | (1002) all_0_121_121 = e12 | all_0_122_122 = e12 | all_0_123_123 = e12
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (1002), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (765) all_0_121_121 = e12
% 20.55/5.34 |
% 20.55/5.34 | Equations (765) can reduce 1007 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (1007) ~ (all_0_121_121 = e12)
% 20.55/5.34 | (1008) all_0_122_122 = e12 | all_0_123_123 = e12
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (327), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (1216) all_0_111_111 = e12
% 20.55/5.34 |
% 20.55/5.34 | Equations (1216) can reduce 1219 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (1219) ~ (all_0_111_111 = e12)
% 20.55/5.34 | (3481) all_0_115_115 = e12 | all_0_117_117 = e12 | all_0_120_120 = e12
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (204), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (753) all_0_120_120 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (753) can reduce 5 to:
% 20.55/5.34 | (2713) ~ (all_0_121_121 = e13)
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 2713 yields:
% 20.55/5.34 | (964) ~ (all_0_121_121 = e13)
% 20.55/5.34 |
% 20.55/5.34 | Equations (753) can reduce 1001 to:
% 20.55/5.34 | (278) ~ (e13 = e12)
% 20.55/5.34 |
% 20.55/5.34 | Equations (753) can reduce 674 to:
% 20.55/5.34 | (189) ~ (e13 = e10)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (354), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (828) all_0_112_112 = e13
% 20.55/5.34 |
% 20.55/5.34 | Equations (828) can reduce 207 to:
% 20.55/5.34 | (4649) ~ (all_0_114_114 = e13)
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 4649 yields:
% 20.55/5.34 | (952) ~ (all_0_114_114 = e13)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (124), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (713) all_0_112_112 = e10
% 20.55/5.34 |
% 20.55/5.34 | Combining equations (713,828) yields a new equation:
% 20.55/5.34 | (950) e13 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (950) can reduce 189 to:
% 20.55/5.34 | (392) $false
% 20.55/5.34 |
% 20.55/5.34 |-The branch is then unsatisfiable
% 20.55/5.34 |-Branch two:
% 20.55/5.34 | (781) ~ (all_0_112_112 = e10)
% 20.55/5.34 | (771) all_0_121_121 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (771) can reduce 292 to:
% 20.55/5.34 | (1146) ~ (all_0_123_123 = e10)
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 1146 yields:
% 20.55/5.34 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.34 |
% 20.55/5.34 | Equations (771) can reduce 1007 to:
% 20.55/5.34 | (716) ~ (e12 = e10)
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 716 yields:
% 20.55/5.34 | (147) ~ (e12 = e10)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (71), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (718) all_0_114_114 = e10
% 20.55/5.34 |
% 20.55/5.34 | Equations (718) can reduce 952 to:
% 20.55/5.34 | (675) ~ (e13 = e10)
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 675 yields:
% 20.55/5.34 | (189) ~ (e13 = e10)
% 20.55/5.34 |
% 20.55/5.34 | Equations (718) can reduce 683 to:
% 20.55/5.34 | (716) ~ (e12 = e10)
% 20.55/5.34 |
% 20.55/5.34 | Simplifying 716 yields:
% 20.55/5.34 | (147) ~ (e12 = e10)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (230), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (730), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.55/5.34 |
% 20.55/5.34 +-Applying beta-rule and splitting (731), into two cases.
% 20.55/5.34 |-Branch one:
% 20.55/5.34 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (732), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (733), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (734), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (735) yields:
% 20.55/5.35 | (736) all_0_112_112 = e12
% 20.55/5.35 | (678) all_0_115_115 = e12
% 20.55/5.35 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.35 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (678,669) yields a new equation:
% 20.55/5.35 | (1004) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 1004 yields:
% 20.55/5.35 | (679) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Equations (679) can reduce 147 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (742) yields:
% 20.55/5.35 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.55/5.35 | (744) all_0_117_117 = e11
% 20.55/5.35 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.55/5.35 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.35 | (747) all_0_113_113 = e11
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (693,747) yields a new equation:
% 20.55/5.35 | (748) e12 = e11
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 748 yields:
% 20.55/5.35 | (749) e12 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (749) can reduce 299 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (751) yields:
% 20.55/5.35 | (752) all_0_114_114 = e13
% 20.55/5.35 | (753) all_0_120_120 = e13
% 20.55/5.35 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.35 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (718,752) yields a new equation:
% 20.55/5.35 | (950) e13 = e10
% 20.55/5.35 |
% 20.55/5.35 | Equations (950) can reduce 189 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (757) yields:
% 20.55/5.35 | (718) all_0_114_114 = e10
% 20.55/5.35 | (759) all_0_120_120 = e10
% 20.55/5.35 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.35 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (753,759) yields a new equation:
% 20.55/5.35 | (949) e13 = e10
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 949 yields:
% 20.55/5.35 | (950) e13 = e10
% 20.55/5.35 |
% 20.55/5.35 | Equations (950) can reduce 189 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (763) yields:
% 20.55/5.35 | (682) all_0_116_116 = e12
% 20.55/5.35 | (765) all_0_121_121 = e12
% 20.55/5.35 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.35 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (765,771) yields a new equation:
% 20.55/5.35 | (1004) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 1004 yields:
% 20.55/5.35 | (679) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Equations (679) can reduce 147 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (769) yields:
% 20.55/5.35 | (722) all_0_116_116 = e10
% 20.55/5.35 | (771) all_0_121_121 = e10
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (722,682) yields a new equation:
% 20.55/5.35 | (679) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Equations (679) can reduce 147 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (774) yields:
% 20.55/5.35 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.55/5.35 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.35 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.55/5.35 | (702) all_0_122_122 = e11
% 20.55/5.35 | (779) all_0_119_119 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (779) can reduce 685 to:
% 20.55/5.35 | (706) ~ (e12 = e11)
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 706 yields:
% 20.55/5.35 | (299) ~ (e12 = e11)
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (1008), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (699) all_0_122_122 = e12
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (702,699) yields a new equation:
% 20.55/5.35 | (749) e12 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (749) can reduce 299 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (696) ~ (all_0_122_122 = e12)
% 20.55/5.35 | (1013) all_0_123_123 = e12
% 20.55/5.35 |
% 20.55/5.35 | Equations (1013) can reduce 687 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (715) ~ (all_0_114_114 = e10)
% 20.55/5.35 | (721) all_0_116_116 = e10 | all_0_123_123 = e10
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (721), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (722) all_0_116_116 = e10
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (682,722) yields a new equation:
% 20.55/5.35 | (1004) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 1004 yields:
% 20.55/5.35 | (679) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Equations (679) can reduce 147 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (725) ~ (all_0_116_116 = e10)
% 20.55/5.35 | (726) all_0_123_123 = e10
% 20.55/5.35 |
% 20.55/5.35 | Equations (726) can reduce 754 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (967) ~ (all_0_112_112 = e13)
% 20.55/5.35 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (968), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (821) all_0_118_118 = e13
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (821,824) yields a new equation:
% 20.55/5.35 | (1969) e13 = e12
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 1969 yields:
% 20.55/5.35 | (957) e13 = e12
% 20.55/5.35 |
% 20.55/5.35 | Equations (957) can reduce 278 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (819) ~ (all_0_118_118 = e13)
% 20.55/5.35 | (961) all_0_121_121 = e13
% 20.55/5.35 |
% 20.55/5.35 | Equations (961) can reduce 964 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (959) ~ (all_0_120_120 = e13)
% 20.55/5.35 | (1836) all_0_120_120 = e12 | all_0_120_120 = e11 | all_0_120_120 = e10
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (230), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (730), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (731), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (732), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (733), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (734), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (735) yields:
% 20.55/5.35 | (736) all_0_112_112 = e12
% 20.55/5.35 | (678) all_0_115_115 = e12
% 20.55/5.35 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.35 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (678,669) yields a new equation:
% 20.55/5.35 | (1004) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 1004 yields:
% 20.55/5.35 | (679) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Equations (679) can reduce 147 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (742) yields:
% 20.55/5.35 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.55/5.35 | (744) all_0_117_117 = e11
% 20.55/5.35 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.55/5.35 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.35 | (747) all_0_113_113 = e11
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (747,693) yields a new equation:
% 20.55/5.35 | (749) e12 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (749) can reduce 299 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (751) yields:
% 20.55/5.35 | (752) all_0_114_114 = e13
% 20.55/5.35 | (753) all_0_120_120 = e13
% 20.55/5.35 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.35 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.55/5.35 |
% 20.55/5.35 | Equations (753) can reduce 959 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (757) yields:
% 20.55/5.35 | (718) all_0_114_114 = e10
% 20.55/5.35 | (759) all_0_120_120 = e10
% 20.55/5.35 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.35 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.55/5.35 |
% 20.55/5.35 | Equations (759) can reduce 674 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (763) yields:
% 20.55/5.35 | (682) all_0_116_116 = e12
% 20.55/5.35 | (765) all_0_121_121 = e12
% 20.55/5.35 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.35 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.55/5.35 |
% 20.55/5.35 | Equations (765) can reduce 1007 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (769) yields:
% 20.55/5.35 | (722) all_0_116_116 = e10
% 20.55/5.35 | (771) all_0_121_121 = e10
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (682,722) yields a new equation:
% 20.55/5.35 | (1004) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 1004 yields:
% 20.55/5.35 | (679) e12 = e10
% 20.55/5.35 |
% 20.55/5.35 | Equations (679) can reduce 147 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.55/5.35 |
% 20.55/5.35 | Applying alpha-rule on (774) yields:
% 20.55/5.35 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.55/5.35 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.35 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.55/5.35 | (702) all_0_122_122 = e11
% 20.55/5.35 | (779) all_0_119_119 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (779) can reduce 91 to:
% 20.55/5.35 | (982) ~ (all_0_117_117 = e11)
% 20.55/5.35 |
% 20.55/5.35 | Equations (779) can reduce 150 to:
% 20.55/5.35 | (704) ~ (all_0_123_123 = e11)
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 704 yields:
% 20.55/5.35 | (705) ~ (all_0_123_123 = e11)
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (43), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (832) all_0_123_123 = e13
% 20.55/5.35 |
% 20.55/5.35 | Equations (832) can reduce 35 to:
% 20.55/5.35 | (959) ~ (all_0_120_120 = e13)
% 20.55/5.35 |
% 20.55/5.35 | Equations (832) can reduce 705 to:
% 20.55/5.35 | (341) ~ (e13 = e11)
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (155), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (834) all_0_111_111 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (834) can reduce 1219 to:
% 20.55/5.35 | (706) ~ (e12 = e11)
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 706 yields:
% 20.55/5.35 | (299) ~ (e12 = e11)
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (6), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (1176) all_0_111_111 = e13
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (834,1176) yields a new equation:
% 20.55/5.35 | (1245) e13 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (1245) can reduce 341 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.35 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (1205), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (817) all_0_117_117 = e13
% 20.55/5.35 |
% 20.55/5.35 | Equations (817) can reduce 792 to:
% 20.55/5.35 | (278) ~ (e13 = e12)
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (1008), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (699) all_0_122_122 = e12
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (699,702) yields a new equation:
% 20.55/5.35 | (748) e12 = e11
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 748 yields:
% 20.55/5.35 | (749) e12 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (749) can reduce 299 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (696) ~ (all_0_122_122 = e12)
% 20.55/5.35 | (1013) all_0_123_123 = e12
% 20.55/5.35 |
% 20.55/5.35 | Combining equations (832,1013) yields a new equation:
% 20.55/5.35 | (1969) e13 = e12
% 20.55/5.35 |
% 20.55/5.35 | Simplifying 1969 yields:
% 20.55/5.35 | (957) e13 = e12
% 20.55/5.35 |
% 20.55/5.35 | Equations (957) can reduce 278 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (978) ~ (all_0_117_117 = e13)
% 20.55/5.35 | (753) all_0_120_120 = e13
% 20.55/5.35 |
% 20.55/5.35 | Equations (753) can reduce 959 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (936) ~ (all_0_111_111 = e11)
% 20.55/5.35 | (1577) all_0_117_117 = e11 | all_0_120_120 = e11
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (1577), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (744) all_0_117_117 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (744) can reduce 982 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (982) ~ (all_0_117_117 = e11)
% 20.55/5.35 | (1079) all_0_120_120 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (1079) can reduce 1075 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (946) ~ (all_0_123_123 = e13)
% 20.55/5.35 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (947), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (1013) all_0_123_123 = e12
% 20.55/5.35 |
% 20.55/5.35 | Equations (1013) can reduce 687 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (687) ~ (all_0_123_123 = e12)
% 20.55/5.35 | (1789) all_0_123_123 = e11 | all_0_123_123 = e10
% 20.55/5.35 |
% 20.55/5.35 +-Applying beta-rule and splitting (1789), into two cases.
% 20.55/5.35 |-Branch one:
% 20.55/5.35 | (726) all_0_123_123 = e10
% 20.55/5.35 |
% 20.55/5.35 | Equations (726) can reduce 754 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.35 |-Branch two:
% 20.55/5.35 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.35 | (999) all_0_123_123 = e11
% 20.55/5.35 |
% 20.55/5.35 | Equations (999) can reduce 705 to:
% 20.55/5.35 | (392) $false
% 20.55/5.35 |
% 20.55/5.35 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (1297) ~ (all_0_115_115 = e10)
% 20.55/5.36 | (722) all_0_116_116 = e10
% 20.55/5.36 |
% 20.55/5.36 | Combining equations (682,722) yields a new equation:
% 20.55/5.36 | (1004) e12 = e10
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 1004 yields:
% 20.55/5.36 | (679) e12 = e10
% 20.55/5.36 |
% 20.55/5.36 | Equations (679) can reduce 147 to:
% 20.55/5.36 | (392) $false
% 20.55/5.36 |
% 20.55/5.36 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (1474) ~ (all_0_116_116 = e12)
% 20.55/5.36 | (722) all_0_116_116 = e10
% 20.55/5.36 |
% 20.55/5.36 | Equations (722) can reduce 195 to:
% 20.55/5.36 | (715) ~ (all_0_114_114 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Equations (722) can reduce 78 to:
% 20.55/5.36 | (799) ~ (all_0_119_119 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 799 yields:
% 20.55/5.36 | (159) ~ (all_0_119_119 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Equations (722) can reduce 126 to:
% 20.55/5.36 | (1146) ~ (all_0_123_123 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 1146 yields:
% 20.55/5.36 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Equations (722) can reduce 63 to:
% 20.55/5.36 | (675) ~ (e13 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 675 yields:
% 20.55/5.36 | (189) ~ (e13 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Equations (722) can reduce 1474 to:
% 20.55/5.36 | (716) ~ (e12 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 716 yields:
% 20.55/5.36 | (147) ~ (e12 = e10)
% 20.55/5.36 |
% 20.55/5.36 | From (722) and (60) follows:
% 20.55/5.36 | (6065) h2(e10) = all_0_52_52
% 20.55/5.36 |
% 20.55/5.36 | From (722) and (217) follows:
% 20.55/5.36 | (1308) h3(e10) = all_0_33_33
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (340), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (678) all_0_115_115 = e12
% 20.55/5.36 |
% 20.55/5.36 | Equations (678) can reduce 256 to:
% 20.55/5.36 | (1313) ~ (all_0_120_120 = e12)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 1313 yields:
% 20.55/5.36 | (1001) ~ (all_0_120_120 = e12)
% 20.55/5.36 |
% 20.55/5.36 | Equations (678) can reduce 255 to:
% 20.55/5.36 | (299) ~ (e12 = e11)
% 20.55/5.36 |
% 20.55/5.36 | From (678) and (221) follows:
% 20.55/5.36 | (6071) h2(e12) = all_0_50_50
% 20.55/5.36 |
% 20.55/5.36 | From (678) and (90) follows:
% 20.55/5.36 | (1316) h3(e12) = all_0_32_32
% 20.55/5.36 |
% 20.55/5.36 | Instantiating formula (12) with e12, all_0_50_50, e21 and discharging atoms h2(e12) = all_0_50_50, h2(e12) = e21, yields:
% 20.55/5.36 | (6073) all_0_50_50 = e21
% 20.55/5.36 |
% 20.55/5.36 | Instantiating formula (12) with e10, all_0_52_52, e22 and discharging atoms h2(e10) = all_0_52_52, h2(e10) = e22, yields:
% 20.55/5.36 | (6074) all_0_52_52 = e22
% 20.55/5.36 |
% 20.55/5.36 | Instantiating formula (68) with e12, all_0_32_32, e22 and discharging atoms h3(e12) = all_0_32_32, h3(e12) = e22, yields:
% 20.55/5.36 | (1319) all_0_32_32 = e22
% 20.55/5.36 |
% 20.55/5.36 | Instantiating formula (68) with e10, all_0_33_33, e20 and discharging atoms h3(e10) = all_0_33_33, h3(e10) = e20, yields:
% 20.55/5.36 | (1320) all_0_33_33 = e20
% 20.55/5.36 |
% 20.55/5.36 | From (6073) and (6071) follows:
% 20.55/5.36 | (129) h2(e12) = e21
% 20.55/5.36 |
% 20.55/5.36 | From (6074) and (6065) follows:
% 20.55/5.36 | (5182) h2(e10) = e22
% 20.55/5.36 |
% 20.55/5.36 | From (1319) and (1316) follows:
% 20.55/5.36 | (297) h3(e12) = e22
% 20.55/5.36 |
% 20.55/5.36 | From (1320) and (1308) follows:
% 20.55/5.36 | (263) h3(e10) = e20
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (124), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (713) all_0_112_112 = e10
% 20.55/5.36 |
% 20.55/5.36 | Equations (713) can reduce 207 to:
% 20.55/5.36 | (714) ~ (all_0_114_114 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 714 yields:
% 20.55/5.36 | (715) ~ (all_0_114_114 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Equations (713) can reduce 208 to:
% 20.55/5.36 | (1034) ~ (all_0_121_121 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 1034 yields:
% 20.55/5.36 | (1035) ~ (all_0_121_121 = e10)
% 20.55/5.36 |
% 20.55/5.36 | From (713) and (76) follows:
% 20.55/5.36 | (6086) h2(e10) = all_0_44_44
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (96), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (759) all_0_120_120 = e10
% 20.55/5.36 |
% 20.55/5.36 | Equations (759) can reduce 5 to:
% 20.55/5.36 | (1034) ~ (all_0_121_121 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 1034 yields:
% 20.55/5.36 | (1035) ~ (all_0_121_121 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Equations (759) can reduce 1001 to:
% 20.55/5.36 | (716) ~ (e12 = e10)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 716 yields:
% 20.55/5.36 | (147) ~ (e12 = e10)
% 20.55/5.36 |
% 20.55/5.36 | From (759) and (229) follows:
% 20.55/5.36 | (6092) h2(e10) = all_0_59_59
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (230), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (730), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (731), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (732), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (733), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (734), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.55/5.36 |
% 20.55/5.36 | Applying alpha-rule on (735) yields:
% 20.55/5.36 | (736) all_0_112_112 = e12
% 20.55/5.36 | (678) all_0_115_115 = e12
% 20.55/5.36 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.36 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.55/5.36 |
% 20.55/5.36 | Combining equations (736,713) yields a new equation:
% 20.55/5.36 | (1004) e12 = e10
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 1004 yields:
% 20.55/5.36 | (679) e12 = e10
% 20.55/5.36 |
% 20.55/5.36 | Equations (679) can reduce 147 to:
% 20.55/5.36 | (392) $false
% 20.55/5.36 |
% 20.55/5.36 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 20.55/5.36 |
% 20.55/5.36 | Applying alpha-rule on (742) yields:
% 20.55/5.36 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 20.55/5.36 | (744) all_0_117_117 = e11
% 20.55/5.36 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.55/5.36 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.36 | (747) all_0_113_113 = e11
% 20.55/5.36 |
% 20.55/5.36 | Combining equations (693,747) yields a new equation:
% 20.55/5.36 | (748) e12 = e11
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 748 yields:
% 20.55/5.36 | (749) e12 = e11
% 20.55/5.36 |
% 20.55/5.36 | Equations (749) can reduce 299 to:
% 20.55/5.36 | (392) $false
% 20.55/5.36 |
% 20.55/5.36 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.55/5.36 |
% 20.55/5.36 | Applying alpha-rule on (751) yields:
% 20.55/5.36 | (752) all_0_114_114 = e13
% 20.55/5.36 | (753) all_0_120_120 = e13
% 20.55/5.36 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.36 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.55/5.36 |
% 20.55/5.36 | Combining equations (759,753) yields a new equation:
% 20.55/5.36 | (950) e13 = e10
% 20.55/5.36 |
% 20.55/5.36 | Equations (950) can reduce 189 to:
% 20.55/5.36 | (392) $false
% 20.55/5.36 |
% 20.55/5.36 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 20.55/5.36 |
% 20.55/5.36 | Applying alpha-rule on (757) yields:
% 20.55/5.36 | (718) all_0_114_114 = e10
% 20.55/5.36 | (759) all_0_120_120 = e10
% 20.55/5.36 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.36 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 20.55/5.36 |
% 20.55/5.36 | Equations (718) can reduce 715 to:
% 20.55/5.36 | (392) $false
% 20.55/5.36 |
% 20.55/5.36 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 20.55/5.36 |
% 20.55/5.36 | Applying alpha-rule on (763) yields:
% 20.55/5.36 | (682) all_0_116_116 = e12
% 20.55/5.36 | (765) all_0_121_121 = e12
% 20.55/5.36 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.36 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.55/5.36 |
% 20.55/5.36 | Combining equations (722,682) yields a new equation:
% 20.55/5.36 | (679) e12 = e10
% 20.55/5.36 |
% 20.55/5.36 | Equations (679) can reduce 147 to:
% 20.55/5.36 | (392) $false
% 20.55/5.36 |
% 20.55/5.36 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 20.55/5.36 |
% 20.55/5.36 | Applying alpha-rule on (769) yields:
% 20.55/5.36 | (722) all_0_116_116 = e10
% 20.55/5.36 | (771) all_0_121_121 = e10
% 20.55/5.36 |
% 20.55/5.36 | Equations (771) can reduce 1035 to:
% 20.55/5.36 | (392) $false
% 20.55/5.36 |
% 20.55/5.36 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 20.55/5.36 |
% 20.55/5.36 | Applying alpha-rule on (774) yields:
% 20.55/5.36 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 20.55/5.36 | (754) ~ (all_0_123_123 = e10)
% 20.55/5.36 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 20.55/5.36 | (702) all_0_122_122 = e11
% 20.55/5.36 | (779) all_0_119_119 = e11
% 20.55/5.36 |
% 20.55/5.36 | Equations (779) can reduce 359 to:
% 20.55/5.36 | (805) ~ (all_0_114_114 = e11)
% 20.55/5.36 |
% 20.55/5.36 | Equations (779) can reduce 91 to:
% 20.55/5.36 | (982) ~ (all_0_117_117 = e11)
% 20.55/5.36 |
% 20.55/5.36 | Equations (779) can reduce 150 to:
% 20.55/5.36 | (704) ~ (all_0_123_123 = e11)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 704 yields:
% 20.55/5.36 | (705) ~ (all_0_123_123 = e11)
% 20.55/5.36 |
% 20.55/5.36 | Equations (779) can reduce 159 to:
% 20.55/5.36 | (284) ~ (e11 = e10)
% 20.55/5.36 |
% 20.55/5.36 | From (779) and (48) follows:
% 20.55/5.36 | (6150) h2(e11) = all_0_57_57
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (266), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (752) all_0_114_114 = e13
% 20.55/5.36 |
% 20.55/5.36 | Equations (752) can reduce 65 to:
% 20.55/5.36 | (738) ~ (all_0_111_111 = e13)
% 20.55/5.36 |
% 20.55/5.36 | Equations (752) can reduce 267 to:
% 20.55/5.36 | (1439) ~ (all_0_123_123 = e13)
% 20.55/5.36 |
% 20.55/5.36 | Simplifying 1439 yields:
% 20.55/5.36 | (946) ~ (all_0_123_123 = e13)
% 20.55/5.36 |
% 20.55/5.36 | Equations (752) can reduce 715 to:
% 20.55/5.36 | (189) ~ (e13 = e10)
% 20.55/5.36 |
% 20.55/5.36 | From (752) and (332) follows:
% 20.55/5.36 | (6156) h2(e13) = all_0_48_48
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (43), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (832) all_0_123_123 = e13
% 20.55/5.36 |
% 20.55/5.36 | Equations (832) can reduce 946 to:
% 20.55/5.36 | (392) $false
% 20.55/5.36 |
% 20.55/5.36 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (946) ~ (all_0_123_123 = e13)
% 20.55/5.36 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (357), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (753) all_0_120_120 = e13
% 20.55/5.36 |
% 20.55/5.36 | Combining equations (759,753) yields a new equation:
% 20.55/5.36 | (950) e13 = e10
% 20.55/5.36 |
% 20.55/5.36 | Equations (950) can reduce 189 to:
% 20.55/5.36 | (392) $false
% 20.55/5.36 |
% 20.55/5.36 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (959) ~ (all_0_120_120 = e13)
% 20.55/5.36 | (960) all_0_121_121 = e13 | all_0_123_123 = e13
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (960), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (961) all_0_121_121 = e13
% 20.55/5.36 |
% 20.55/5.36 | Equations (961) can reduce 14 to:
% 20.55/5.36 | (819) ~ (all_0_118_118 = e13)
% 20.55/5.36 |
% 20.55/5.36 | Equations (961) can reduce 1035 to:
% 20.55/5.36 | (189) ~ (e13 = e10)
% 20.55/5.36 |
% 20.55/5.36 | From (961) and (169) follows:
% 20.55/5.36 | (6169) h2(e13) = all_0_61_61
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (321), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (821) all_0_118_118 = e13
% 20.55/5.36 |
% 20.55/5.36 | Equations (821) can reduce 819 to:
% 20.55/5.36 | (392) $false
% 20.55/5.36 |
% 20.55/5.36 |-The branch is then unsatisfiable
% 20.55/5.36 |-Branch two:
% 20.55/5.36 | (819) ~ (all_0_118_118 = e13)
% 20.55/5.36 | (824) all_0_118_118 = e12
% 20.55/5.36 |
% 20.55/5.36 | From (824) and (272) follows:
% 20.55/5.36 | (6174) h2(e12) = all_0_55_55
% 20.55/5.36 |
% 20.55/5.36 +-Applying beta-rule and splitting (224), into two cases.
% 20.55/5.36 |-Branch one:
% 20.55/5.36 | (817) all_0_117_117 = e13
% 20.55/5.36 |
% 20.55/5.36 | Equations (817) can reduce 982 to:
% 20.55/5.36 | (341) ~ (e13 = e11)
% 20.55/5.36 |
% 20.55/5.36 | From (817) and (311) follows:
% 20.55/5.37 | (6177) h2(e13) = all_0_54_54
% 20.55/5.37 |
% 20.55/5.37 +-Applying beta-rule and splitting (947), into two cases.
% 20.55/5.37 |-Branch one:
% 20.55/5.37 | (1013) all_0_123_123 = e12
% 20.55/5.37 |
% 20.55/5.37 | From (1013) and (151) follows:
% 20.55/5.37 | (6179) h2(e12) = all_0_65_65
% 20.55/5.37 |
% 20.55/5.37 +-Applying beta-rule and splitting (155), into two cases.
% 20.55/5.37 |-Branch one:
% 20.55/5.37 | (834) all_0_111_111 = e11
% 20.55/5.37 |
% 20.55/5.37 | From (834) and (85) follows:
% 20.55/5.37 | (6181) h2(e11) = all_0_42_42
% 20.55/5.37 |
% 20.55/5.37 | Instantiating formula (12) with e13, all_0_48_48, e23 and discharging atoms h2(e13) = all_0_48_48, h2(e13) = e23, yields:
% 20.55/5.37 | (6182) all_0_48_48 = e23
% 20.55/5.37 |
% 20.55/5.37 | Instantiating formula (12) with e13, all_0_54_54, all_0_48_48 and discharging atoms h2(e13) = all_0_48_48, h2(e13) = all_0_54_54, yields:
% 20.55/5.37 | (6183) all_0_48_48 = all_0_54_54
% 20.55/5.37 |
% 20.55/5.37 | Instantiating formula (12) with e13, all_0_61_61, all_0_48_48 and discharging atoms h2(e13) = all_0_48_48, h2(e13) = all_0_61_61, yields:
% 20.55/5.37 | (6184) all_0_48_48 = all_0_61_61
% 20.55/5.37 |
% 20.55/5.37 | Instantiating formula (12) with e12, all_0_55_55, e21 and discharging atoms h2(e12) = all_0_55_55, h2(e12) = e21, yields:
% 20.55/5.37 | (6185) all_0_55_55 = e21
% 20.55/5.37 |
% 20.55/5.37 | Instantiating formula (12) with e12, all_0_65_65, all_0_55_55 and discharging atoms h2(e12) = all_0_55_55, h2(e12) = all_0_65_65, yields:
% 20.55/5.37 | (6186) all_0_55_55 = all_0_65_65
% 20.55/5.37 |
% 20.55/5.37 | Instantiating formula (12) with e11, all_0_42_42, e20 and discharging atoms h2(e11) = all_0_42_42, h2(e11) = e20, yields:
% 20.55/5.37 | (6187) all_0_42_42 = e20
% 20.55/5.37 |
% 20.55/5.37 | Instantiating formula (12) with e11, all_0_57_57, all_0_42_42 and discharging atoms h2(e11) = all_0_42_42, h2(e11) = all_0_57_57, yields:
% 20.55/5.37 | (6188) all_0_42_42 = all_0_57_57
% 20.55/5.37 |
% 20.55/5.37 | Instantiating formula (12) with e10, all_0_44_44, e22 and discharging atoms h2(e10) = all_0_44_44, h2(e10) = e22, yields:
% 20.55/5.37 | (6189) all_0_44_44 = e22
% 20.55/5.37 |
% 20.55/5.37 | Instantiating formula (12) with e10, all_0_59_59, all_0_44_44 and discharging atoms h2(e10) = all_0_44_44, h2(e10) = all_0_59_59, yields:
% 20.55/5.37 | (6190) all_0_44_44 = all_0_59_59
% 20.55/5.37 |
% 20.55/5.37 | Combining equations (6187,6188) yields a new equation:
% 20.55/5.37 | (6191) all_0_57_57 = e20
% 20.55/5.37 |
% 20.55/5.37 | Combining equations (6190,6189) yields a new equation:
% 20.55/5.37 | (6192) all_0_59_59 = e22
% 20.55/5.37 |
% 20.55/5.37 | Simplifying 6192 yields:
% 20.55/5.37 | (6193) all_0_59_59 = e22
% 20.55/5.37 |
% 20.55/5.37 | Combining equations (6184,6183) yields a new equation:
% 20.55/5.37 | (6194) all_0_54_54 = all_0_61_61
% 20.55/5.37 |
% 20.55/5.37 | Combining equations (6182,6183) yields a new equation:
% 20.55/5.37 | (6195) all_0_54_54 = e23
% 20.55/5.37 |
% 20.55/5.37 | Combining equations (6194,6195) yields a new equation:
% 20.55/5.37 | (6196) all_0_61_61 = e23
% 20.55/5.37 |
% 20.55/5.37 | Simplifying 6196 yields:
% 20.55/5.37 | (6197) all_0_61_61 = e23
% 20.55/5.37 |
% 20.55/5.37 | Combining equations (6185,6186) yields a new equation:
% 20.55/5.37 | (6198) all_0_65_65 = e21
% 20.55/5.37 |
% 20.55/5.37 | Combining equations (6198,6186) yields a new equation:
% 20.55/5.37 | (6185) all_0_55_55 = e21
% 20.55/5.37 |
% 20.55/5.37 | Combining equations (6195,6183) yields a new equation:
% 20.55/5.37 | (6182) all_0_48_48 = e23
% 20.55/5.37 |
% 20.55/5.37 | Combining equations (6191,6188) yields a new equation:
% 20.55/5.37 | (6187) all_0_42_42 = e20
% 20.55/5.37 |
% 20.55/5.37 +-Applying beta-rule and splitting (54), into two cases.
% 20.55/5.37 |-Branch one:
% 20.55/5.37 | (6202) ~ (all_0_41_41 = all_0_42_42)
% 20.55/5.37 |
% 20.55/5.37 | Equations (571,6187) can reduce 6202 to:
% 20.55/5.37 | (392) $false
% 20.55/5.37 |
% 20.55/5.37 |-The branch is then unsatisfiable
% 20.55/5.37 |-Branch two:
% 20.55/5.37 | (6204) all_0_41_41 = all_0_42_42
% 20.55/5.37 | (6205) ~ (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_109_109) | ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.55/5.37 |
% 20.55/5.37 +-Applying beta-rule and splitting (6205), into two cases.
% 20.55/5.37 |-Branch one:
% 20.55/5.37 | (6206) ~ (all_0_43_43 = all_0_44_44)
% 20.55/5.37 |
% 20.55/5.37 | Equations (5282,6189) can reduce 6206 to:
% 20.55/5.37 | (392) $false
% 20.55/5.37 |
% 20.55/5.37 |-The branch is then unsatisfiable
% 20.55/5.37 |-Branch two:
% 20.55/5.37 | (6208) all_0_43_43 = all_0_44_44
% 20.55/5.38 | (6209) ~ (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_109_109) | ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.55/5.38 |
% 20.55/5.38 +-Applying beta-rule and splitting (6209), into two cases.
% 20.55/5.38 |-Branch one:
% 20.55/5.38 | (6210) ~ (all_0_45_45 = all_0_46_46)
% 20.55/5.38 |
% 20.55/5.38 | Equations (575,5318) can reduce 6210 to:
% 20.55/5.38 | (392) $false
% 20.55/5.38 |
% 20.55/5.38 |-The branch is then unsatisfiable
% 20.55/5.38 |-Branch two:
% 20.55/5.38 | (6212) all_0_45_45 = all_0_46_46
% 20.55/5.38 | (6213) ~ (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_109_109) | ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.55/5.38 |
% 20.55/5.38 +-Applying beta-rule and splitting (6213), into two cases.
% 20.55/5.38 |-Branch one:
% 20.55/5.38 | (6214) ~ (all_0_47_47 = all_0_48_48)
% 20.55/5.38 |
% 20.55/5.38 | Equations (5284,6182) can reduce 6214 to:
% 20.55/5.38 | (392) $false
% 20.55/5.38 |
% 20.55/5.38 |-The branch is then unsatisfiable
% 20.55/5.38 |-Branch two:
% 20.55/5.38 | (6216) all_0_47_47 = all_0_48_48
% 20.55/5.38 | (6217) ~ (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_109_109) | ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.55/5.38 |
% 20.55/5.38 +-Applying beta-rule and splitting (6217), into two cases.
% 20.55/5.38 |-Branch one:
% 20.55/5.38 | (6218) ~ (all_0_49_49 = all_0_50_50)
% 20.55/5.38 |
% 20.84/5.38 | Equations (5278,6073) can reduce 6218 to:
% 20.84/5.38 | (392) $false
% 20.84/5.38 |
% 20.84/5.38 |-The branch is then unsatisfiable
% 20.84/5.38 |-Branch two:
% 20.84/5.38 | (6220) all_0_49_49 = all_0_50_50
% 20.84/5.38 | (6221) ~ (all_0_51_51 = all_0_52_52) | ~ (all_0_53_53 = all_0_54_54) | ~ (all_0_55_55 = all_0_109_109) | ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.84/5.38 |
% 20.84/5.38 +-Applying beta-rule and splitting (6221), into two cases.
% 20.84/5.38 |-Branch one:
% 20.84/5.38 | (6222) ~ (all_0_51_51 = all_0_52_52)
% 20.84/5.38 |
% 20.84/5.38 | Equations (583,6074) can reduce 6222 to:
% 20.84/5.38 | (392) $false
% 20.84/5.38 |
% 20.84/5.38 |-The branch is then unsatisfiable
% 20.84/5.38 |-Branch two:
% 20.84/5.38 | (6224) all_0_51_51 = all_0_52_52
% 20.84/5.38 | (6225) ~ (all_0_53_53 = all_0_54_54) | ~ (all_0_55_55 = all_0_109_109) | ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.84/5.38 |
% 20.84/5.38 +-Applying beta-rule and splitting (6225), into two cases.
% 20.84/5.38 |-Branch one:
% 20.84/5.38 | (6226) ~ (all_0_53_53 = all_0_54_54)
% 20.84/5.38 |
% 20.84/5.38 | Equations (5275,6195) can reduce 6226 to:
% 20.84/5.38 | (392) $false
% 20.84/5.38 |
% 20.84/5.38 |-The branch is then unsatisfiable
% 20.84/5.38 |-Branch two:
% 20.84/5.38 | (6228) all_0_53_53 = all_0_54_54
% 20.84/5.38 | (6229) ~ (all_0_55_55 = all_0_109_109) | ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.84/5.38 |
% 20.84/5.38 +-Applying beta-rule and splitting (6229), into two cases.
% 20.84/5.38 |-Branch one:
% 20.84/5.38 | (6230) ~ (all_0_55_55 = all_0_109_109)
% 20.84/5.38 |
% 20.84/5.38 | Equations (6185,462) can reduce 6230 to:
% 20.84/5.38 | (392) $false
% 20.84/5.38 |
% 20.84/5.38 |-The branch is then unsatisfiable
% 20.84/5.38 |-Branch two:
% 20.84/5.38 | (6232) all_0_55_55 = all_0_109_109
% 20.89/5.38 | (6233) ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.89/5.38 |
% 20.89/5.38 +-Applying beta-rule and splitting (6233), into two cases.
% 20.89/5.38 |-Branch one:
% 20.89/5.38 | (6234) ~ (all_0_56_56 = all_0_57_57)
% 20.89/5.38 |
% 20.89/5.38 | Equations (5289,6191) can reduce 6234 to:
% 20.89/5.38 | (392) $false
% 20.89/5.38 |
% 20.89/5.38 |-The branch is then unsatisfiable
% 20.89/5.38 |-Branch two:
% 20.89/5.38 | (6236) all_0_56_56 = all_0_57_57
% 20.89/5.38 | (6237) ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.89/5.38 |
% 20.89/5.38 +-Applying beta-rule and splitting (6237), into two cases.
% 20.89/5.38 |-Branch one:
% 20.89/5.38 | (6238) ~ (all_0_58_58 = all_0_59_59)
% 20.89/5.38 |
% 20.89/5.38 | Equations (5286,6193) can reduce 6238 to:
% 20.89/5.38 | (392) $false
% 20.89/5.38 |
% 20.89/5.38 |-The branch is then unsatisfiable
% 20.89/5.38 |-Branch two:
% 20.89/5.38 | (6240) all_0_58_58 = all_0_59_59
% 20.89/5.38 | (6241) ~ (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_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.89/5.38 |
% 20.89/5.38 +-Applying beta-rule and splitting (6241), into two cases.
% 20.89/5.38 |-Branch one:
% 20.89/5.39 | (6242) ~ (all_0_60_60 = all_0_61_61)
% 20.89/5.39 |
% 20.89/5.39 | Equations (586,6197) can reduce 6242 to:
% 20.89/5.39 | (392) $false
% 20.89/5.39 |
% 20.89/5.39 |-The branch is then unsatisfiable
% 20.89/5.39 |-Branch two:
% 20.89/5.39 | (6244) all_0_60_60 = all_0_61_61
% 20.89/5.39 | (6245) ~ (all_0_62_62 = all_0_63_63) | ~ (all_0_64_64 = all_0_65_65) | ( ~ (all_0_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.89/5.39 |
% 20.89/5.39 +-Applying beta-rule and splitting (6245), into two cases.
% 20.89/5.39 |-Branch one:
% 20.89/5.39 | (6246) ~ (all_0_62_62 = all_0_63_63)
% 20.89/5.39 |
% 20.89/5.39 | Equations (5288,5319) can reduce 6246 to:
% 20.89/5.39 | (392) $false
% 20.89/5.39 |
% 20.89/5.39 |-The branch is then unsatisfiable
% 20.89/5.39 |-Branch two:
% 20.89/5.39 | (6248) all_0_62_62 = all_0_63_63
% 20.89/5.39 | (6249) ~ (all_0_64_64 = all_0_65_65) | ( ~ (all_0_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.89/5.39 |
% 20.89/5.39 +-Applying beta-rule and splitting (6249), into two cases.
% 20.89/5.39 |-Branch one:
% 20.89/5.39 | (6250) ~ (all_0_64_64 = all_0_65_65)
% 20.89/5.39 |
% 20.89/5.39 | Equations (5287,6198) can reduce 6250 to:
% 20.89/5.39 | (392) $false
% 20.89/5.39 |
% 20.89/5.39 |-The branch is then unsatisfiable
% 20.89/5.39 |-Branch two:
% 20.89/5.39 | (6252) all_0_64_64 = all_0_65_65
% 20.89/5.39 | (6253) ( ~ (all_0_106_106 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22))
% 20.89/5.39 |
% 20.89/5.39 +-Applying beta-rule and splitting (6253), into two cases.
% 20.89/5.39 |-Branch one:
% 20.89/5.39 | (6254) ~ (all_0_106_106 = e23) & ~ (all_0_110_110 = e23)
% 20.89/5.39 |
% 20.89/5.39 | Applying alpha-rule on (6254) yields:
% 20.89/5.39 | (2579) ~ (all_0_106_106 = e23)
% 20.89/5.39 | (481) ~ (all_0_110_110 = e23)
% 20.89/5.39 |
% 20.89/5.39 | Equations (2576) can reduce 2579 to:
% 20.89/5.39 | (392) $false
% 20.89/5.39 |
% 20.89/5.39 |-The branch is then unsatisfiable
% 20.89/5.39 |-Branch two:
% 20.89/5.39 | (6258) ~ (all_0_106_106 = e22) & ~ (all_0_110_110 = e22)
% 20.89/5.39 |
% 20.89/5.39 | Applying alpha-rule on (6258) yields:
% 20.89/5.39 | (5030) ~ (all_0_106_106 = e22)
% 20.89/5.39 | (1781) ~ (all_0_110_110 = e22)
% 20.89/5.39 |
% 20.89/5.39 | Equations (549) can reduce 1781 to:
% 20.89/5.39 | (392) $false
% 20.89/5.39 |
% 20.89/5.39 |-The branch is then unsatisfiable
% 20.89/5.39 |-Branch two:
% 20.89/5.39 | (936) ~ (all_0_111_111 = e11)
% 20.89/5.39 | (1577) all_0_117_117 = e11 | all_0_120_120 = e11
% 20.89/5.39 |
% 20.89/5.39 +-Applying beta-rule and splitting (1577), into two cases.
% 20.89/5.39 |-Branch one:
% 20.89/5.39 | (744) all_0_117_117 = e11
% 20.89/5.39 |
% 20.89/5.39 | Combining equations (744,817) yields a new equation:
% 20.89/5.39 | (1245) e13 = e11
% 20.89/5.39 |
% 20.89/5.39 | Equations (1245) can reduce 341 to:
% 20.89/5.39 | (392) $false
% 20.89/5.39 |
% 20.89/5.39 |-The branch is then unsatisfiable
% 20.89/5.39 |-Branch two:
% 20.89/5.39 | (982) ~ (all_0_117_117 = e11)
% 20.89/5.39 | (1079) all_0_120_120 = e11
% 20.89/5.39 |
% 20.89/5.39 | Combining equations (759,1079) yields a new equation:
% 20.89/5.39 | (803) e11 = e10
% 20.89/5.39 |
% 20.89/5.39 | Equations (803) can reduce 284 to:
% 20.89/5.39 | (392) $false
% 20.89/5.39 |
% 20.89/5.39 |-The branch is then unsatisfiable
% 20.89/5.39 |-Branch two:
% 20.89/5.39 | (687) ~ (all_0_123_123 = e12)
% 20.89/5.39 | (1789) all_0_123_123 = e11 | all_0_123_123 = e10
% 20.89/5.39 |
% 20.89/5.39 +-Applying beta-rule and splitting (1789), into two cases.
% 20.89/5.39 |-Branch one:
% 20.89/5.39 | (726) all_0_123_123 = e10
% 20.89/5.39 |
% 20.89/5.39 | Equations (726) can reduce 754 to:
% 20.89/5.39 | (392) $false
% 20.89/5.39 |
% 20.89/5.39 |-The branch is then unsatisfiable
% 20.89/5.39 |-Branch two:
% 20.89/5.39 | (754) ~ (all_0_123_123 = e10)
% 20.89/5.39 | (999) all_0_123_123 = e11
% 20.89/5.39 |
% 20.89/5.39 | Equations (999) can reduce 705 to:
% 20.89/5.39 | (392) $false
% 20.89/5.39 |
% 20.89/5.39 |-The branch is then unsatisfiable
% 20.89/5.39 |-Branch two:
% 20.89/5.39 | (978) ~ (all_0_117_117 = e13)
% 20.89/5.39 | (3089) all_0_118_118 = e13 | all_0_119_119 = e13
% 20.89/5.39 |
% 20.89/5.39 +-Applying beta-rule and splitting (6), into two cases.
% 20.89/5.39 |-Branch one:
% 20.89/5.39 | (1176) all_0_111_111 = e13
% 20.89/5.39 |
% 20.89/5.39 | Equations (1176) can reduce 738 to:
% 20.89/5.39 | (392) $false
% 20.89/5.39 |
% 20.89/5.39 |-The branch is then unsatisfiable
% 20.89/5.39 |-Branch two:
% 20.89/5.39 | (738) ~ (all_0_111_111 = e13)
% 20.89/5.40 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (123), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (817) all_0_117_117 = e13
% 20.89/5.40 |
% 20.89/5.40 | Equations (817) can reduce 978 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (978) ~ (all_0_117_117 = e13)
% 20.89/5.40 | (979) all_0_117_117 = e12 | all_0_117_117 = e11
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (1205), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (817) all_0_117_117 = e13
% 20.89/5.40 |
% 20.89/5.40 | Equations (817) can reduce 978 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (978) ~ (all_0_117_117 = e13)
% 20.89/5.40 | (753) all_0_120_120 = e13
% 20.89/5.40 |
% 20.89/5.40 | Combining equations (753,759) yields a new equation:
% 20.89/5.40 | (949) e13 = e10
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 949 yields:
% 20.89/5.40 | (950) e13 = e10
% 20.89/5.40 |
% 20.89/5.40 | Equations (950) can reduce 189 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (964) ~ (all_0_121_121 = e13)
% 20.89/5.40 | (832) all_0_123_123 = e13
% 20.89/5.40 |
% 20.89/5.40 | Equations (832) can reduce 946 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (952) ~ (all_0_114_114 = e13)
% 20.89/5.40 | (3336) all_0_114_114 = e12 | all_0_114_114 = e11 | all_0_114_114 = e10
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (3336), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (1465) all_0_114_114 = e12
% 20.89/5.40 |
% 20.89/5.40 | Equations (1465) can reduce 683 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (683) ~ (all_0_114_114 = e12)
% 20.89/5.40 | (3340) all_0_114_114 = e11 | all_0_114_114 = e10
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (3340), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (718) all_0_114_114 = e10
% 20.89/5.40 |
% 20.89/5.40 | Equations (718) can reduce 715 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (715) ~ (all_0_114_114 = e10)
% 20.89/5.40 | (802) all_0_114_114 = e11
% 20.89/5.40 |
% 20.89/5.40 | Equations (802) can reduce 805 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (674) ~ (all_0_120_120 = e10)
% 20.89/5.40 | (1039) all_0_121_121 = e10 | all_0_123_123 = e10
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (1039), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (771) all_0_121_121 = e10
% 20.89/5.40 |
% 20.89/5.40 | Equations (771) can reduce 1035 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (1035) ~ (all_0_121_121 = e10)
% 20.89/5.40 | (726) all_0_123_123 = e10
% 20.89/5.40 |
% 20.89/5.40 | Equations (726) can reduce 754 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (781) ~ (all_0_112_112 = e10)
% 20.89/5.40 | (771) all_0_121_121 = e10
% 20.89/5.40 |
% 20.89/5.40 | Equations (771) can reduce 208 to:
% 20.89/5.40 | (781) ~ (all_0_112_112 = e10)
% 20.89/5.40 |
% 20.89/5.40 | Equations (771) can reduce 14 to:
% 20.89/5.40 | (290) ~ (all_0_118_118 = e10)
% 20.89/5.40 |
% 20.89/5.40 | From (771) and (29) follows:
% 20.89/5.40 | (4192) h3(e10) = all_0_38_38
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (50), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (787) all_0_111_111 = e10
% 20.89/5.40 |
% 20.89/5.40 | Equations (787) can reduce 24 to:
% 20.89/5.40 | (2019) ~ (all_0_112_112 = e10)
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 2019 yields:
% 20.89/5.40 | (781) ~ (all_0_112_112 = e10)
% 20.89/5.40 |
% 20.89/5.40 | Equations (787) can reduce 65 to:
% 20.89/5.40 | (714) ~ (all_0_114_114 = e10)
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 714 yields:
% 20.89/5.40 | (715) ~ (all_0_114_114 = e10)
% 20.89/5.40 |
% 20.89/5.40 | From (787) and (352) follows:
% 20.89/5.40 | (6326) h3(e10) = all_0_28_28
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (335), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (828) all_0_112_112 = e13
% 20.89/5.40 |
% 20.89/5.40 | Equations (828) can reduce 207 to:
% 20.89/5.40 | (4649) ~ (all_0_114_114 = e13)
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 4649 yields:
% 20.89/5.40 | (952) ~ (all_0_114_114 = e13)
% 20.89/5.40 |
% 20.89/5.40 | Equations (828) can reduce 46 to:
% 20.89/5.40 | (818) ~ (all_0_118_118 = e13)
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 818 yields:
% 20.89/5.40 | (819) ~ (all_0_118_118 = e13)
% 20.89/5.40 |
% 20.89/5.40 | From (828) and (164) follows:
% 20.89/5.40 | (4194) h3(e13) = all_0_29_29
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (321), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (821) all_0_118_118 = e13
% 20.89/5.40 |
% 20.89/5.40 | Equations (821) can reduce 819 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (819) ~ (all_0_118_118 = e13)
% 20.89/5.40 | (824) all_0_118_118 = e12
% 20.89/5.40 |
% 20.89/5.40 | Equations (824) can reduce 244 to:
% 20.89/5.40 | (792) ~ (all_0_117_117 = e12)
% 20.89/5.40 |
% 20.89/5.40 | Equations (824) can reduce 819 to:
% 20.89/5.40 | (1052) ~ (e13 = e12)
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 1052 yields:
% 20.89/5.40 | (278) ~ (e13 = e12)
% 20.89/5.40 |
% 20.89/5.40 | Equations (824) can reduce 290 to:
% 20.89/5.40 | (147) ~ (e12 = e10)
% 20.89/5.40 |
% 20.89/5.40 | From (824) and (67) follows:
% 20.89/5.40 | (1433) h3(e12) = all_0_35_35
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (266), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (752) all_0_114_114 = e13
% 20.89/5.40 |
% 20.89/5.40 | Equations (752) can reduce 952 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (952) ~ (all_0_114_114 = e13)
% 20.89/5.40 | (3336) all_0_114_114 = e12 | all_0_114_114 = e11 | all_0_114_114 = e10
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (3336), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (1465) all_0_114_114 = e12
% 20.89/5.40 |
% 20.89/5.40 | Equations (1465) can reduce 683 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (683) ~ (all_0_114_114 = e12)
% 20.89/5.40 | (3340) all_0_114_114 = e11 | all_0_114_114 = e10
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (3340), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (718) all_0_114_114 = e10
% 20.89/5.40 |
% 20.89/5.40 | Equations (718) can reduce 715 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (715) ~ (all_0_114_114 = e10)
% 20.89/5.40 | (802) all_0_114_114 = e11
% 20.89/5.40 |
% 20.89/5.40 | Equations (802) can reduce 359 to:
% 20.89/5.40 | (1173) ~ (all_0_119_119 = e11)
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 1173 yields:
% 20.89/5.40 | (998) ~ (all_0_119_119 = e11)
% 20.89/5.40 |
% 20.89/5.40 | Equations (802) can reduce 952 to:
% 20.89/5.40 | (1025) ~ (e13 = e11)
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 1025 yields:
% 20.89/5.40 | (341) ~ (e13 = e11)
% 20.89/5.40 |
% 20.89/5.40 | From (802) and (300) follows:
% 20.89/5.40 | (6358) h3(e11) = all_0_31_31
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (173), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (744) all_0_117_117 = e11
% 20.89/5.40 |
% 20.89/5.40 | Equations (744) can reduce 792 to:
% 20.89/5.40 | (706) ~ (e12 = e11)
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 706 yields:
% 20.89/5.40 | (299) ~ (e12 = e11)
% 20.89/5.40 |
% 20.89/5.40 | From (744) and (136) follows:
% 20.89/5.40 | (6362) h3(e11) = all_0_34_34
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (224), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (817) all_0_117_117 = e13
% 20.89/5.40 |
% 20.89/5.40 | Combining equations (817,744) yields a new equation:
% 20.89/5.40 | (1244) e13 = e11
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 1244 yields:
% 20.89/5.40 | (1245) e13 = e11
% 20.89/5.40 |
% 20.89/5.40 | Equations (1245) can reduce 341 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (978) ~ (all_0_117_117 = e13)
% 20.89/5.40 | (3089) all_0_118_118 = e13 | all_0_119_119 = e13
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (3089), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (821) all_0_118_118 = e13
% 20.89/5.40 |
% 20.89/5.40 | Combining equations (821,824) yields a new equation:
% 20.89/5.40 | (1969) e13 = e12
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 1969 yields:
% 20.89/5.40 | (957) e13 = e12
% 20.89/5.40 |
% 20.89/5.40 | Equations (957) can reduce 278 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (819) ~ (all_0_118_118 = e13)
% 20.89/5.40 | (1552) all_0_119_119 = e13
% 20.89/5.40 |
% 20.89/5.40 | Equations (1552) can reduce 150 to:
% 20.89/5.40 | (1439) ~ (all_0_123_123 = e13)
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 1439 yields:
% 20.89/5.40 | (946) ~ (all_0_123_123 = e13)
% 20.89/5.40 |
% 20.89/5.40 | Equations (1552) can reduce 159 to:
% 20.89/5.40 | (189) ~ (e13 = e10)
% 20.89/5.40 |
% 20.89/5.40 | From (1552) and (133) follows:
% 20.89/5.40 | (6378) h3(e13) = all_0_36_36
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (357), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (753) all_0_120_120 = e13
% 20.89/5.40 |
% 20.89/5.40 | Equations (753) can reduce 1001 to:
% 20.89/5.40 | (278) ~ (e13 = e12)
% 20.89/5.40 |
% 20.89/5.40 | From (753) and (258) follows:
% 20.89/5.40 | (6381) h3(e13) = all_0_37_37
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (337), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (791) all_0_120_120 = e12
% 20.89/5.40 |
% 20.89/5.40 | Combining equations (791,753) yields a new equation:
% 20.89/5.40 | (957) e13 = e12
% 20.89/5.40 |
% 20.89/5.40 | Equations (957) can reduce 278 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (1001) ~ (all_0_120_120 = e12)
% 20.89/5.40 | (1002) all_0_121_121 = e12 | all_0_122_122 = e12 | all_0_123_123 = e12
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (52), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (1465) all_0_114_114 = e12
% 20.89/5.40 |
% 20.89/5.40 | Combining equations (1465,802) yields a new equation:
% 20.89/5.40 | (748) e12 = e11
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 748 yields:
% 20.89/5.40 | (749) e12 = e11
% 20.89/5.40 |
% 20.89/5.40 | Equations (749) can reduce 299 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (683) ~ (all_0_114_114 = e12)
% 20.89/5.40 | (1469) all_0_116_116 = e12 | all_0_119_119 = e12 | all_0_123_123 = e12
% 20.89/5.40 |
% 20.89/5.40 | Equations (802) can reduce 683 to:
% 20.89/5.40 | (706) ~ (e12 = e11)
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 706 yields:
% 20.89/5.40 | (299) ~ (e12 = e11)
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (1002), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (765) all_0_121_121 = e12
% 20.89/5.40 |
% 20.89/5.40 | Combining equations (765,771) yields a new equation:
% 20.89/5.40 | (1004) e12 = e10
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 1004 yields:
% 20.89/5.40 | (679) e12 = e10
% 20.89/5.40 |
% 20.89/5.40 | Equations (679) can reduce 147 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (1007) ~ (all_0_121_121 = e12)
% 20.89/5.40 | (1008) all_0_122_122 = e12 | all_0_123_123 = e12
% 20.89/5.40 |
% 20.89/5.40 +-Applying beta-rule and splitting (1008), into two cases.
% 20.89/5.40 |-Branch one:
% 20.89/5.40 | (699) all_0_122_122 = e12
% 20.89/5.40 |
% 20.89/5.40 | Combining equations (699,702) yields a new equation:
% 20.89/5.40 | (748) e12 = e11
% 20.89/5.40 |
% 20.89/5.40 | Simplifying 748 yields:
% 20.89/5.40 | (749) e12 = e11
% 20.89/5.40 |
% 20.89/5.40 | Equations (749) can reduce 299 to:
% 20.89/5.40 | (392) $false
% 20.89/5.40 |
% 20.89/5.40 |-The branch is then unsatisfiable
% 20.89/5.40 |-Branch two:
% 20.89/5.40 | (696) ~ (all_0_122_122 = e12)
% 20.89/5.40 | (1013) all_0_123_123 = e12
% 20.89/5.40 |
% 20.89/5.40 | From (1013) and (89) follows:
% 20.89/5.40 | (1481) h3(e12) = all_0_40_40
% 20.89/5.40 |
% 20.89/5.40 | Instantiating formula (68) with e13, all_0_29_29, e23 and discharging atoms h3(e13) = all_0_29_29, h3(e13) = e23, yields:
% 20.89/5.40 | (4213) all_0_29_29 = e23
% 20.89/5.40 |
% 20.89/5.40 | Instantiating formula (68) with e13, all_0_36_36, all_0_29_29 and discharging atoms h3(e13) = all_0_29_29, h3(e13) = all_0_36_36, yields:
% 20.89/5.40 | (6409) all_0_29_29 = all_0_36_36
% 20.89/5.40 |
% 20.89/5.40 | Instantiating formula (68) with e13, all_0_37_37, all_0_29_29 and discharging atoms h3(e13) = all_0_29_29, h3(e13) = all_0_37_37, yields:
% 20.89/5.40 | (1490) all_0_29_29 = all_0_37_37
% 20.89/5.40 |
% 20.89/5.40 | Instantiating formula (68) with e12, all_0_35_35, e22 and discharging atoms h3(e12) = all_0_35_35, h3(e12) = e22, yields:
% 20.89/5.40 | (1485) all_0_35_35 = e22
% 20.89/5.40 |
% 20.89/5.40 | Instantiating formula (68) with e12, all_0_40_40, all_0_35_35 and discharging atoms h3(e12) = all_0_35_35, h3(e12) = all_0_40_40, yields:
% 20.89/5.40 | (1486) all_0_35_35 = all_0_40_40
% 20.89/5.40 |
% 20.89/5.40 | Instantiating formula (68) with e11, all_0_31_31, e21 and discharging atoms h3(e11) = all_0_31_31, h3(e11) = e21, yields:
% 20.89/5.40 | (6413) all_0_31_31 = e21
% 20.89/5.40 |
% 20.89/5.40 | Instantiating formula (68) with e11, all_0_34_34, all_0_31_31 and discharging atoms h3(e11) = all_0_31_31, h3(e11) = all_0_34_34, yields:
% 20.89/5.40 | (1483) all_0_31_31 = all_0_34_34
% 20.89/5.40 |
% 20.89/5.40 | Instantiating formula (68) with e10, all_0_28_28, e20 and discharging atoms h3(e10) = all_0_28_28, h3(e10) = e20, yields:
% 20.89/5.40 | (6415) all_0_28_28 = e20
% 20.89/5.40 |
% 20.89/5.40 | Instantiating formula (68) with e10, all_0_38_38, all_0_28_28 and discharging atoms h3(e10) = all_0_28_28, h3(e10) = all_0_38_38, yields:
% 20.89/5.41 | (6416) all_0_28_28 = all_0_38_38
% 20.89/5.41 |
% 20.89/5.41 | Combining equations (6415,6416) yields a new equation:
% 20.89/5.41 | (4208) all_0_38_38 = e20
% 20.89/5.41 |
% 20.89/5.41 | Combining equations (1490,6409) yields a new equation:
% 20.89/5.41 | (6418) all_0_36_36 = all_0_37_37
% 20.89/5.41 |
% 20.89/5.41 | Combining equations (4213,6409) yields a new equation:
% 20.89/5.41 | (6419) all_0_36_36 = e23
% 20.89/5.41 |
% 20.89/5.41 | Combining equations (6413,1483) yields a new equation:
% 20.89/5.41 | (6420) all_0_34_34 = e21
% 20.89/5.41 |
% 20.89/5.41 | Combining equations (1485,1486) yields a new equation:
% 20.89/5.41 | (1497) all_0_40_40 = e22
% 20.89/5.41 |
% 20.89/5.41 | Combining equations (6418,6419) yields a new equation:
% 20.89/5.41 | (6422) all_0_37_37 = e23
% 20.89/5.41 |
% 20.89/5.41 | Simplifying 6422 yields:
% 20.89/5.41 | (6423) all_0_37_37 = e23
% 20.89/5.41 |
% 20.89/5.41 | Combining equations (1497,1486) yields a new equation:
% 20.89/5.41 | (1485) all_0_35_35 = e22
% 20.89/5.41 |
% 20.89/5.41 | Combining equations (6420,1483) yields a new equation:
% 20.89/5.41 | (6413) all_0_31_31 = e21
% 20.89/5.41 |
% 20.89/5.41 | Combining equations (6419,6409) yields a new equation:
% 20.89/5.41 | (4213) all_0_29_29 = e23
% 20.89/5.41 |
% 20.89/5.41 | Combining equations (4208,6416) yields a new equation:
% 20.89/5.41 | (6415) all_0_28_28 = e20
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (92), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1501) ~ (all_0_28_28 = all_0_98_98)
% 20.89/5.41 |
% 20.89/5.41 | Equations (6415,2273) can reduce 1501 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1503) all_0_28_28 = all_0_98_98
% 20.89/5.41 | (1504) ~ (all_0_29_29 = all_0_99_99) | ~ (all_0_30_30 = all_0_100_100) | ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1504), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1505) ~ (all_0_29_29 = all_0_99_99)
% 20.89/5.41 |
% 20.89/5.41 | Equations (4213,2225) can reduce 1505 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1507) all_0_29_29 = all_0_99_99
% 20.89/5.41 | (1508) ~ (all_0_30_30 = all_0_100_100) | ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1508), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1509) ~ (all_0_30_30 = all_0_100_100)
% 20.89/5.41 |
% 20.89/5.41 | Equations (1346,407) can reduce 1509 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1511) all_0_30_30 = all_0_100_100
% 20.89/5.41 | (1512) ~ (all_0_31_31 = all_0_101_101) | ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1512), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1513) ~ (all_0_31_31 = all_0_101_101)
% 20.89/5.41 |
% 20.89/5.41 | Equations (6413,2145) can reduce 1513 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1515) all_0_31_31 = all_0_101_101
% 20.89/5.41 | (1516) ~ (all_0_32_32 = all_0_102_102) | ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1516), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1517) ~ (all_0_32_32 = all_0_102_102)
% 20.89/5.41 |
% 20.89/5.41 | Equations (1319,394) can reduce 1517 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1519) all_0_32_32 = all_0_102_102
% 20.89/5.41 | (1520) ~ (all_0_33_33 = all_0_103_103) | ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1520), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1521) ~ (all_0_33_33 = all_0_103_103)
% 20.89/5.41 |
% 20.89/5.41 | Equations (1320,385) can reduce 1521 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1523) all_0_33_33 = all_0_103_103
% 20.89/5.41 | (1524) ~ (all_0_34_34 = all_0_104_104) | ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1524), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1525) ~ (all_0_34_34 = all_0_104_104)
% 20.89/5.41 |
% 20.89/5.41 | Equations (6420,431) can reduce 1525 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1527) all_0_34_34 = all_0_104_104
% 20.89/5.41 | (1528) ~ (all_0_35_35 = all_0_105_105) | ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1528), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1529) ~ (all_0_35_35 = all_0_105_105)
% 20.89/5.41 |
% 20.89/5.41 | Equations (1485,512) can reduce 1529 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1531) all_0_35_35 = all_0_105_105
% 20.89/5.41 | (1532) ~ (all_0_36_36 = all_0_106_106) | ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1532), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1533) ~ (all_0_36_36 = all_0_106_106)
% 20.89/5.41 |
% 20.89/5.41 | Equations (6419,2576) can reduce 1533 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1535) all_0_36_36 = all_0_106_106
% 20.89/5.41 | (1536) ~ (all_0_37_37 = all_0_107_107) | ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1536), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1537) ~ (all_0_37_37 = all_0_107_107)
% 20.89/5.41 |
% 20.89/5.41 | Equations (6423,437) can reduce 1537 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1539) all_0_37_37 = all_0_107_107
% 20.89/5.41 | (1540) ~ (all_0_38_38 = all_0_108_108) | ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1540), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1541) ~ (all_0_38_38 = all_0_108_108)
% 20.89/5.41 |
% 20.89/5.41 | Equations (4208,457) can reduce 1541 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1543) all_0_38_38 = all_0_108_108
% 20.89/5.41 | (1544) ~ (all_0_39_39 = all_0_109_109) | ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (1544), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (1545) ~ (all_0_39_39 = all_0_109_109)
% 20.89/5.41 |
% 20.89/5.41 | Equations (1347,462) can reduce 1545 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (1547) all_0_39_39 = all_0_109_109
% 20.89/5.41 | (1548) ~ (all_0_40_40 = all_0_110_110)
% 20.89/5.41 |
% 20.89/5.41 | Equations (1497,549) can reduce 1548 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (959) ~ (all_0_120_120 = e13)
% 20.89/5.41 | (960) all_0_121_121 = e13 | all_0_123_123 = e13
% 20.89/5.41 |
% 20.89/5.41 +-Applying beta-rule and splitting (43), into two cases.
% 20.89/5.41 |-Branch one:
% 20.89/5.41 | (832) all_0_123_123 = e13
% 20.89/5.41 |
% 20.89/5.41 | Equations (832) can reduce 946 to:
% 20.89/5.41 | (392) $false
% 20.89/5.41 |
% 20.89/5.41 |-The branch is then unsatisfiable
% 20.89/5.41 |-Branch two:
% 20.89/5.41 | (946) ~ (all_0_123_123 = e13)
% 20.89/5.41 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 20.89/5.41 |
% 20.89/5.42 +-Applying beta-rule and splitting (960), into two cases.
% 20.89/5.42 |-Branch one:
% 20.89/5.42 | (961) all_0_121_121 = e13
% 20.89/5.42 |
% 20.89/5.42 | Combining equations (771,961) yields a new equation:
% 20.89/5.42 | (950) e13 = e10
% 20.89/5.42 |
% 20.89/5.42 | Equations (950) can reduce 189 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 20.89/5.42 |-Branch two:
% 20.89/5.42 | (964) ~ (all_0_121_121 = e13)
% 20.89/5.42 | (832) all_0_123_123 = e13
% 20.89/5.42 |
% 20.89/5.42 | Equations (832) can reduce 946 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 20.89/5.42 |-Branch two:
% 20.89/5.42 | (982) ~ (all_0_117_117 = e11)
% 20.89/5.42 | (779) all_0_119_119 = e11
% 20.89/5.42 |
% 20.89/5.42 | Equations (779) can reduce 998 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 20.89/5.42 |-Branch two:
% 20.89/5.42 | (967) ~ (all_0_112_112 = e13)
% 20.89/5.42 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 20.89/5.42 |
% 20.89/5.42 +-Applying beta-rule and splitting (225), into two cases.
% 20.89/5.42 |-Branch one:
% 20.89/5.42 | (736) all_0_112_112 = e12
% 20.89/5.42 |
% 20.89/5.42 | Equations (736) can reduce 694 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 20.89/5.42 |-Branch two:
% 20.89/5.42 | (694) ~ (all_0_112_112 = e12)
% 20.89/5.42 | (1614) all_0_118_118 = e12 | all_0_121_121 = e12
% 20.89/5.42 |
% 20.89/5.42 +-Applying beta-rule and splitting (972), into two cases.
% 20.89/5.42 |-Branch one:
% 20.89/5.42 | (736) all_0_112_112 = e12
% 20.89/5.42 |
% 20.89/5.42 | Equations (736) can reduce 694 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 20.89/5.42 |-Branch two:
% 20.89/5.42 | (694) ~ (all_0_112_112 = e12)
% 20.89/5.42 | (713) all_0_112_112 = e10
% 20.89/5.42 |
% 20.89/5.42 | Equations (713) can reduce 781 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 20.89/5.42 |-Branch two:
% 20.89/5.42 | (670) ~ (all_0_111_111 = e10)
% 20.89/5.42 | (790) all_0_112_112 = e10 | all_0_114_114 = e10
% 20.89/5.42 |
% 20.89/5.42 +-Applying beta-rule and splitting (335), into two cases.
% 20.89/5.42 |-Branch one:
% 20.89/5.42 | (828) all_0_112_112 = e13
% 20.89/5.42 |
% 20.89/5.42 | Equations (828) can reduce 781 to:
% 20.89/5.42 | (189) ~ (e13 = e10)
% 20.89/5.42 |
% 20.89/5.42 +-Applying beta-rule and splitting (790), into two cases.
% 20.89/5.42 |-Branch one:
% 20.89/5.42 | (713) all_0_112_112 = e10
% 20.89/5.42 |
% 20.89/5.42 | Combining equations (828,713) yields a new equation:
% 20.89/5.42 | (949) e13 = e10
% 20.89/5.42 |
% 20.89/5.42 | Simplifying 949 yields:
% 20.89/5.42 | (950) e13 = e10
% 20.89/5.42 |
% 20.89/5.42 | Equations (950) can reduce 189 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 20.89/5.42 |-Branch two:
% 20.89/5.42 | (781) ~ (all_0_112_112 = e10)
% 20.89/5.42 | (718) all_0_114_114 = e10
% 20.89/5.42 |
% 20.89/5.42 | Equations (718) can reduce 715 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 20.89/5.42 |-Branch two:
% 20.89/5.42 | (967) ~ (all_0_112_112 = e13)
% 20.89/5.42 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 20.89/5.42 |
% 20.89/5.42 +-Applying beta-rule and splitting (972), into two cases.
% 20.89/5.42 |-Branch one:
% 20.89/5.42 | (736) all_0_112_112 = e12
% 20.89/5.42 |
% 20.89/5.42 | Equations (736) can reduce 694 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 20.89/5.42 |-Branch two:
% 20.89/5.42 | (694) ~ (all_0_112_112 = e12)
% 20.89/5.42 | (713) all_0_112_112 = e10
% 20.89/5.42 |
% 20.89/5.42 | Equations (713) can reduce 781 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 20.89/5.42 |-Branch two:
% 20.89/5.42 | (681) ~ (all_0_115_115 = e12)
% 20.89/5.42 | (682) all_0_116_116 = e12
% 20.89/5.42 |
% 20.89/5.42 | Combining equations (722,682) yields a new equation:
% 20.89/5.42 | (679) e12 = e10
% 20.89/5.42 |
% 20.89/5.42 | Equations (679) can reduce 147 to:
% 20.89/5.42 | (392) $false
% 20.89/5.42 |
% 20.89/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (1015) ~ (all_0_113_113 = e12)
% 21.00/5.42 | (699) all_0_122_122 = e12
% 21.00/5.42 |
% 21.00/5.42 | Equations (699) can reduce 140 to:
% 21.00/5.42 | (1007) ~ (all_0_121_121 = e12)
% 21.00/5.42 |
% 21.00/5.42 | Equations (699) can reduce 118 to:
% 21.00/5.42 | (686) ~ (all_0_123_123 = e12)
% 21.00/5.42 |
% 21.00/5.42 | Simplifying 686 yields:
% 21.00/5.42 | (687) ~ (all_0_123_123 = e12)
% 21.00/5.42 |
% 21.00/5.42 | Equations (699) can reduce 77 to:
% 21.00/5.42 | (147) ~ (e12 = e10)
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (112), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (747) all_0_113_113 = e11
% 21.00/5.42 |
% 21.00/5.42 | Equations (747) can reduce 305 to:
% 21.00/5.42 | (28) ~ (all_0_112_112 = e11)
% 21.00/5.42 |
% 21.00/5.42 | Equations (747) can reduce 283 to:
% 21.00/5.42 | (1895) ~ (all_0_114_114 = e11)
% 21.00/5.42 |
% 21.00/5.42 | Simplifying 1895 yields:
% 21.00/5.42 | (805) ~ (all_0_114_114 = e11)
% 21.00/5.42 |
% 21.00/5.42 | Equations (747) can reduce 7 to:
% 21.00/5.42 | (1025) ~ (e13 = e11)
% 21.00/5.42 |
% 21.00/5.42 | Simplifying 1025 yields:
% 21.00/5.42 | (341) ~ (e13 = e11)
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (124), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (713) all_0_112_112 = e10
% 21.00/5.42 |
% 21.00/5.42 | Equations (713) can reduce 207 to:
% 21.00/5.42 | (714) ~ (all_0_114_114 = e10)
% 21.00/5.42 |
% 21.00/5.42 | Simplifying 714 yields:
% 21.00/5.42 | (715) ~ (all_0_114_114 = e10)
% 21.00/5.42 |
% 21.00/5.42 | Equations (713) can reduce 46 to:
% 21.00/5.42 | (1032) ~ (all_0_118_118 = e10)
% 21.00/5.42 |
% 21.00/5.42 | Simplifying 1032 yields:
% 21.00/5.42 | (290) ~ (all_0_118_118 = e10)
% 21.00/5.42 |
% 21.00/5.42 | Equations (713) can reduce 208 to:
% 21.00/5.42 | (1034) ~ (all_0_121_121 = e10)
% 21.00/5.42 |
% 21.00/5.42 | Simplifying 1034 yields:
% 21.00/5.42 | (1035) ~ (all_0_121_121 = e10)
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (62), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (961) all_0_121_121 = e13
% 21.00/5.42 |
% 21.00/5.42 | Equations (961) can reduce 14 to:
% 21.00/5.42 | (819) ~ (all_0_118_118 = e13)
% 21.00/5.42 |
% 21.00/5.42 | Equations (961) can reduce 5 to:
% 21.00/5.42 | (959) ~ (all_0_120_120 = e13)
% 21.00/5.42 |
% 21.00/5.42 | Equations (961) can reduce 292 to:
% 21.00/5.42 | (1439) ~ (all_0_123_123 = e13)
% 21.00/5.42 |
% 21.00/5.42 | Simplifying 1439 yields:
% 21.00/5.42 | (946) ~ (all_0_123_123 = e13)
% 21.00/5.42 |
% 21.00/5.42 | Equations (961) can reduce 1035 to:
% 21.00/5.42 | (189) ~ (e13 = e10)
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (321), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (821) all_0_118_118 = e13
% 21.00/5.42 |
% 21.00/5.42 | Equations (821) can reduce 819 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (819) ~ (all_0_118_118 = e13)
% 21.00/5.42 | (824) all_0_118_118 = e12
% 21.00/5.42 |
% 21.00/5.42 | Equations (824) can reduce 819 to:
% 21.00/5.42 | (1052) ~ (e13 = e12)
% 21.00/5.42 |
% 21.00/5.42 | Simplifying 1052 yields:
% 21.00/5.42 | (278) ~ (e13 = e12)
% 21.00/5.42 |
% 21.00/5.42 | Equations (824) can reduce 153 to:
% 21.00/5.42 | (299) ~ (e12 = e11)
% 21.00/5.42 |
% 21.00/5.42 | Equations (824) can reduce 290 to:
% 21.00/5.42 | (147) ~ (e12 = e10)
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (230), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (730), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (731), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (732), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (733), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (734), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 21.00/5.42 |
% 21.00/5.42 | Applying alpha-rule on (735) yields:
% 21.00/5.42 | (736) all_0_112_112 = e12
% 21.00/5.42 | (678) all_0_115_115 = e12
% 21.00/5.42 | (738) ~ (all_0_111_111 = e13)
% 21.00/5.42 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 21.00/5.42 |
% 21.00/5.42 | Combining equations (736,713) yields a new equation:
% 21.00/5.42 | (1004) e12 = e10
% 21.00/5.42 |
% 21.00/5.42 | Simplifying 1004 yields:
% 21.00/5.42 | (679) e12 = e10
% 21.00/5.42 |
% 21.00/5.42 | Equations (679) can reduce 147 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 21.00/5.42 |
% 21.00/5.42 | Applying alpha-rule on (742) yields:
% 21.00/5.42 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 21.00/5.42 | (744) all_0_117_117 = e11
% 21.00/5.42 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 21.00/5.42 | (738) ~ (all_0_111_111 = e13)
% 21.00/5.42 | (747) all_0_113_113 = e11
% 21.00/5.42 |
% 21.00/5.42 | Equations (744) can reduce 91 to:
% 21.00/5.42 | (1173) ~ (all_0_119_119 = e11)
% 21.00/5.42 |
% 21.00/5.42 | Simplifying 1173 yields:
% 21.00/5.42 | (998) ~ (all_0_119_119 = e11)
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (6), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (1176) all_0_111_111 = e13
% 21.00/5.42 |
% 21.00/5.42 | Equations (1176) can reduce 738 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (738) ~ (all_0_111_111 = e13)
% 21.00/5.42 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (132), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (1176) all_0_111_111 = e13
% 21.00/5.42 |
% 21.00/5.42 | Equations (1176) can reduce 738 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (738) ~ (all_0_111_111 = e13)
% 21.00/5.42 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (9), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (1206) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13)
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (1206), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (1207) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (1207), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (1208) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (1208), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (1209) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11)
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (1209), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (1210) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10))
% 21.00/5.42 |
% 21.00/5.42 +-Applying beta-rule and splitting (1210), into two cases.
% 21.00/5.42 |-Branch one:
% 21.00/5.42 | (1211) all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)
% 21.00/5.42 |
% 21.00/5.42 | Applying alpha-rule on (1211) yields:
% 21.00/5.42 | (1176) all_0_111_111 = e13
% 21.00/5.42 | (1213) ~ (all_0_123_123 = e13) | all_0_120_120 = e10
% 21.00/5.42 |
% 21.00/5.42 | Equations (1176) can reduce 738 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (1215) all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)
% 21.00/5.42 |
% 21.00/5.42 | Applying alpha-rule on (1215) yields:
% 21.00/5.42 | (1216) all_0_111_111 = e12
% 21.00/5.42 | (828) all_0_112_112 = e13
% 21.00/5.42 | (1218) ~ (all_0_123_123 = e12) | all_0_121_121 = e10
% 21.00/5.42 |
% 21.00/5.42 | Combining equations (713,828) yields a new equation:
% 21.00/5.42 | (950) e13 = e10
% 21.00/5.42 |
% 21.00/5.42 | Equations (950) can reduce 189 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (1224) all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11
% 21.00/5.42 |
% 21.00/5.42 | Applying alpha-rule on (1224) yields:
% 21.00/5.42 | (787) all_0_111_111 = e10
% 21.00/5.42 | (752) all_0_114_114 = e13
% 21.00/5.42 | (779) all_0_119_119 = e11
% 21.00/5.42 |
% 21.00/5.42 | Equations (779) can reduce 998 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (1231) all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 21.00/5.42 |
% 21.00/5.42 | Applying alpha-rule on (1231) yields:
% 21.00/5.42 | (779) all_0_119_119 = e11
% 21.00/5.42 | (726) all_0_123_123 = e10
% 21.00/5.42 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 21.00/5.42 |
% 21.00/5.42 | Equations (779) can reduce 998 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (1237) all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 21.00/5.42 |
% 21.00/5.42 | Applying alpha-rule on (1237) yields:
% 21.00/5.42 | (779) all_0_119_119 = e11
% 21.00/5.42 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 21.00/5.42 |
% 21.00/5.42 | Equations (779) can reduce 998 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (1241) all_0_120_120 = e10 & all_0_123_123 = e13
% 21.00/5.42 |
% 21.00/5.42 | Applying alpha-rule on (1241) yields:
% 21.00/5.42 | (759) all_0_120_120 = e10
% 21.00/5.42 | (832) all_0_123_123 = e13
% 21.00/5.42 |
% 21.00/5.42 | Equations (832) can reduce 946 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.42 | (1247) all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13)
% 21.00/5.42 |
% 21.00/5.42 | Applying alpha-rule on (1247) yields:
% 21.00/5.42 | (771) all_0_121_121 = e10
% 21.00/5.42 | (1013) all_0_123_123 = e12
% 21.00/5.42 | (1250) ~ (all_0_111_111 = e12) | all_0_112_112 = e13
% 21.00/5.42 |
% 21.00/5.42 | Combining equations (771,961) yields a new equation:
% 21.00/5.42 | (950) e13 = e10
% 21.00/5.42 |
% 21.00/5.42 | Equations (950) can reduce 189 to:
% 21.00/5.42 | (392) $false
% 21.00/5.42 |
% 21.00/5.42 |-The branch is then unsatisfiable
% 21.00/5.42 |-Branch two:
% 21.00/5.43 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 21.00/5.43 |
% 21.00/5.43 | Applying alpha-rule on (751) yields:
% 21.00/5.43 | (752) all_0_114_114 = e13
% 21.00/5.43 | (753) all_0_120_120 = e13
% 21.00/5.43 | (754) ~ (all_0_123_123 = e10)
% 21.00/5.43 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Equations (753) can reduce 959 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 21.00/5.43 |
% 21.00/5.43 | Applying alpha-rule on (757) yields:
% 21.00/5.43 | (718) all_0_114_114 = e10
% 21.00/5.43 | (759) all_0_120_120 = e10
% 21.00/5.43 | (738) ~ (all_0_111_111 = e13)
% 21.00/5.43 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 21.00/5.43 |
% 21.00/5.43 | Equations (718) can reduce 715 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 21.00/5.43 |
% 21.00/5.43 | Applying alpha-rule on (763) yields:
% 21.00/5.43 | (682) all_0_116_116 = e12
% 21.00/5.43 | (765) all_0_121_121 = e12
% 21.00/5.43 | (754) ~ (all_0_123_123 = e10)
% 21.00/5.43 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 21.00/5.43 |
% 21.00/5.43 | Combining equations (765,961) yields a new equation:
% 21.00/5.43 | (957) e13 = e12
% 21.00/5.43 |
% 21.00/5.43 | Equations (957) can reduce 278 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 21.00/5.43 |
% 21.00/5.43 | Applying alpha-rule on (769) yields:
% 21.00/5.43 | (722) all_0_116_116 = e10
% 21.00/5.43 | (771) all_0_121_121 = e10
% 21.00/5.43 |
% 21.00/5.43 | Combining equations (771,961) yields a new equation:
% 21.00/5.43 | (950) e13 = e10
% 21.00/5.43 |
% 21.00/5.43 | Equations (950) can reduce 189 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 21.00/5.43 |
% 21.00/5.43 | Applying alpha-rule on (774) yields:
% 21.00/5.43 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 21.00/5.43 | (754) ~ (all_0_123_123 = e10)
% 21.00/5.43 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 21.00/5.43 | (702) all_0_122_122 = e11
% 21.00/5.43 | (779) all_0_119_119 = e11
% 21.00/5.43 |
% 21.00/5.43 | Combining equations (702,699) yields a new equation:
% 21.00/5.43 | (749) e12 = e11
% 21.00/5.43 |
% 21.00/5.43 | Equations (749) can reduce 299 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (964) ~ (all_0_121_121 = e13)
% 21.00/5.43 | (1132) all_0_121_121 = e12 | all_0_121_121 = e10
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (225), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (736) all_0_112_112 = e12
% 21.00/5.43 |
% 21.00/5.43 | Combining equations (736,713) yields a new equation:
% 21.00/5.43 | (1004) e12 = e10
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 1004 yields:
% 21.00/5.43 | (679) e12 = e10
% 21.00/5.43 |
% 21.00/5.43 | Equations (679) can reduce 147 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (694) ~ (all_0_112_112 = e12)
% 21.00/5.43 | (1614) all_0_118_118 = e12 | all_0_121_121 = e12
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (1614), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (824) all_0_118_118 = e12
% 21.00/5.43 |
% 21.00/5.43 | Equations (824) can reduce 14 to:
% 21.00/5.43 | (1429) ~ (all_0_121_121 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 1429 yields:
% 21.00/5.43 | (1007) ~ (all_0_121_121 = e12)
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (1132), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (765) all_0_121_121 = e12
% 21.00/5.43 |
% 21.00/5.43 | Equations (765) can reduce 1007 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (1007) ~ (all_0_121_121 = e12)
% 21.00/5.43 | (771) all_0_121_121 = e10
% 21.00/5.43 |
% 21.00/5.43 | Equations (771) can reduce 1035 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (1877) ~ (all_0_118_118 = e12)
% 21.00/5.43 | (765) all_0_121_121 = e12
% 21.00/5.43 |
% 21.00/5.43 | Equations (765) can reduce 1007 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (781) ~ (all_0_112_112 = e10)
% 21.00/5.43 | (771) all_0_121_121 = e10
% 21.00/5.43 |
% 21.00/5.43 | Equations (771) can reduce 208 to:
% 21.00/5.43 | (781) ~ (all_0_112_112 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Equations (771) can reduce 5 to:
% 21.00/5.43 | (674) ~ (all_0_120_120 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Equations (771) can reduce 1007 to:
% 21.00/5.43 | (716) ~ (e12 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 716 yields:
% 21.00/5.43 | (147) ~ (e12 = e10)
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (326), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (678) all_0_115_115 = e12
% 21.00/5.43 |
% 21.00/5.43 | Equations (678) can reduce 286 to:
% 21.00/5.43 | (1219) ~ (all_0_111_111 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Equations (678) can reduce 349 to:
% 21.00/5.43 | (2691) ~ (all_0_116_116 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 2691 yields:
% 21.00/5.43 | (1474) ~ (all_0_116_116 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Equations (678) can reduce 152 to:
% 21.00/5.43 | (1311) ~ (all_0_117_117 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 1311 yields:
% 21.00/5.43 | (792) ~ (all_0_117_117 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Equations (678) can reduce 256 to:
% 21.00/5.43 | (1313) ~ (all_0_120_120 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 1313 yields:
% 21.00/5.43 | (1001) ~ (all_0_120_120 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Equations (678) can reduce 121 to:
% 21.00/5.43 | (1052) ~ (e13 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 1052 yields:
% 21.00/5.43 | (278) ~ (e13 = e12)
% 21.00/5.43 |
% 21.00/5.43 | Equations (678) can reduce 255 to:
% 21.00/5.43 | (299) ~ (e12 = e11)
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (125), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (669) all_0_115_115 = e10
% 21.00/5.43 |
% 21.00/5.43 | Combining equations (678,669) yields a new equation:
% 21.00/5.43 | (1004) e12 = e10
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 1004 yields:
% 21.00/5.43 | (679) e12 = e10
% 21.00/5.43 |
% 21.00/5.43 | Equations (679) can reduce 147 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (1297) ~ (all_0_115_115 = e10)
% 21.00/5.43 | (722) all_0_116_116 = e10
% 21.00/5.43 |
% 21.00/5.43 | Equations (722) can reduce 78 to:
% 21.00/5.43 | (799) ~ (all_0_119_119 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 799 yields:
% 21.00/5.43 | (159) ~ (all_0_119_119 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Equations (722) can reduce 126 to:
% 21.00/5.43 | (1146) ~ (all_0_123_123 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 1146 yields:
% 21.00/5.43 | (754) ~ (all_0_123_123 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Equations (722) can reduce 63 to:
% 21.00/5.43 | (675) ~ (e13 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 675 yields:
% 21.00/5.43 | (189) ~ (e13 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Equations (722) can reduce 1474 to:
% 21.00/5.43 | (716) ~ (e12 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 716 yields:
% 21.00/5.43 | (147) ~ (e12 = e10)
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (83), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (787) all_0_111_111 = e10
% 21.00/5.43 |
% 21.00/5.43 | Equations (787) can reduce 65 to:
% 21.00/5.43 | (714) ~ (all_0_114_114 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 714 yields:
% 21.00/5.43 | (715) ~ (all_0_114_114 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Equations (787) can reduce 270 to:
% 21.00/5.43 | (673) ~ (all_0_120_120 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 673 yields:
% 21.00/5.43 | (674) ~ (all_0_120_120 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Equations (787) can reduce 1219 to:
% 21.00/5.43 | (716) ~ (e12 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 716 yields:
% 21.00/5.43 | (147) ~ (e12 = e10)
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (9), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (1206) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13)
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (1206), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (1207) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (1207), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (1208) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (1208), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (1209) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11)
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (1209), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (1210) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10))
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (1210), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (1211) all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Applying alpha-rule on (1211) yields:
% 21.00/5.43 | (1176) all_0_111_111 = e13
% 21.00/5.43 | (1213) ~ (all_0_123_123 = e13) | all_0_120_120 = e10
% 21.00/5.43 |
% 21.00/5.43 | Combining equations (1176,787) yields a new equation:
% 21.00/5.43 | (949) e13 = e10
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 949 yields:
% 21.00/5.43 | (950) e13 = e10
% 21.00/5.43 |
% 21.00/5.43 | Equations (950) can reduce 189 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (1215) all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)
% 21.00/5.43 |
% 21.00/5.43 | Applying alpha-rule on (1215) yields:
% 21.00/5.43 | (1216) all_0_111_111 = e12
% 21.00/5.43 | (828) all_0_112_112 = e13
% 21.00/5.43 | (1218) ~ (all_0_123_123 = e12) | all_0_121_121 = e10
% 21.00/5.43 |
% 21.00/5.43 | Combining equations (1216,787) yields a new equation:
% 21.00/5.43 | (1004) e12 = e10
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 1004 yields:
% 21.00/5.43 | (679) e12 = e10
% 21.00/5.43 |
% 21.00/5.43 | Equations (679) can reduce 147 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (1224) all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11
% 21.00/5.43 |
% 21.00/5.43 | Applying alpha-rule on (1224) yields:
% 21.00/5.43 | (787) all_0_111_111 = e10
% 21.00/5.43 | (752) all_0_114_114 = e13
% 21.00/5.43 | (779) all_0_119_119 = e11
% 21.00/5.43 |
% 21.00/5.43 | Equations (752) can reduce 207 to:
% 21.00/5.43 | (967) ~ (all_0_112_112 = e13)
% 21.00/5.43 |
% 21.00/5.43 | Equations (752) can reduce 715 to:
% 21.00/5.43 | (189) ~ (e13 = e10)
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (354), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (828) all_0_112_112 = e13
% 21.00/5.43 |
% 21.00/5.43 | Equations (828) can reduce 967 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (967) ~ (all_0_112_112 = e13)
% 21.00/5.43 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (968), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (821) all_0_118_118 = e13
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (102), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (813) all_0_117_117 = e12
% 21.00/5.43 |
% 21.00/5.43 | Equations (813) can reduce 792 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (792) ~ (all_0_117_117 = e12)
% 21.00/5.43 | (816) all_0_118_118 = e12 | all_0_119_119 = e12
% 21.00/5.43 |
% 21.00/5.43 +-Applying beta-rule and splitting (816), into two cases.
% 21.00/5.43 |-Branch one:
% 21.00/5.43 | (824) all_0_118_118 = e12
% 21.00/5.43 |
% 21.00/5.43 | Combining equations (821,824) yields a new equation:
% 21.00/5.43 | (1969) e13 = e12
% 21.00/5.43 |
% 21.00/5.43 | Simplifying 1969 yields:
% 21.00/5.43 | (957) e13 = e12
% 21.00/5.43 |
% 21.00/5.43 | Equations (957) can reduce 278 to:
% 21.00/5.43 | (392) $false
% 21.00/5.43 |
% 21.00/5.43 |-The branch is then unsatisfiable
% 21.00/5.43 |-Branch two:
% 21.00/5.43 | (1877) ~ (all_0_118_118 = e12)
% 21.00/5.43 | (1476) all_0_119_119 = e12
% 21.00/5.43 |
% 21.00/5.43 | Combining equations (1476,779) yields a new equation:
% 21.04/5.43 | (748) e12 = e11
% 21.04/5.43 |
% 21.04/5.43 | Simplifying 748 yields:
% 21.04/5.43 | (749) e12 = e11
% 21.04/5.43 |
% 21.04/5.43 | Equations (749) can reduce 299 to:
% 21.04/5.43 | (392) $false
% 21.04/5.43 |
% 21.04/5.43 |-The branch is then unsatisfiable
% 21.04/5.43 |-Branch two:
% 21.04/5.43 | (819) ~ (all_0_118_118 = e13)
% 21.04/5.43 | (961) all_0_121_121 = e13
% 21.04/5.43 |
% 21.04/5.43 | Combining equations (771,961) yields a new equation:
% 21.04/5.43 | (950) e13 = e10
% 21.04/5.43 |
% 21.04/5.43 | Equations (950) can reduce 189 to:
% 21.04/5.43 | (392) $false
% 21.04/5.43 |
% 21.04/5.43 |-The branch is then unsatisfiable
% 21.04/5.43 |-Branch two:
% 21.04/5.43 | (1231) all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 21.04/5.43 |
% 21.04/5.43 | Applying alpha-rule on (1231) yields:
% 21.04/5.43 | (779) all_0_119_119 = e11
% 21.04/5.43 | (726) all_0_123_123 = e10
% 21.04/5.43 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 21.04/5.43 |
% 21.04/5.43 | Equations (726) can reduce 754 to:
% 21.04/5.43 | (392) $false
% 21.04/5.43 |
% 21.04/5.43 |-The branch is then unsatisfiable
% 21.04/5.43 |-Branch two:
% 21.04/5.43 | (1237) all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 21.04/5.43 |
% 21.04/5.43 | Applying alpha-rule on (1237) yields:
% 21.04/5.43 | (779) all_0_119_119 = e11
% 21.04/5.43 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 21.04/5.43 |
% 21.04/5.43 | Equations (779) can reduce 91 to:
% 21.04/5.43 | (982) ~ (all_0_117_117 = e11)
% 21.04/5.43 |
% 21.04/5.43 | Equations (779) can reduce 159 to:
% 21.04/5.43 | (284) ~ (e11 = e10)
% 21.04/5.43 |
% 21.04/5.43 +-Applying beta-rule and splitting (52), into two cases.
% 21.04/5.43 |-Branch one:
% 21.04/5.43 | (1465) all_0_114_114 = e12
% 21.04/5.43 |
% 21.04/5.43 +-Applying beta-rule and splitting (264), into two cases.
% 21.04/5.43 |-Branch one:
% 21.04/5.43 | (752) all_0_114_114 = e13
% 21.04/5.43 |
% 21.04/5.43 | Combining equations (1465,752) yields a new equation:
% 21.04/5.43 | (957) e13 = e12
% 21.04/5.43 |
% 21.04/5.43 | Equations (957) can reduce 278 to:
% 21.04/5.43 | (392) $false
% 21.04/5.43 |
% 21.04/5.43 |-The branch is then unsatisfiable
% 21.04/5.43 |-Branch two:
% 21.04/5.43 | (952) ~ (all_0_114_114 = e13)
% 21.04/5.43 | (953) all_0_119_119 = e13 | all_0_123_123 = e13
% 21.04/5.43 |
% 21.04/5.43 | Equations (1465) can reduce 952 to:
% 21.04/5.43 | (1052) ~ (e13 = e12)
% 21.04/5.43 |
% 21.04/5.43 | Simplifying 1052 yields:
% 21.04/5.43 | (278) ~ (e13 = e12)
% 21.04/5.43 |
% 21.04/5.43 +-Applying beta-rule and splitting (1234), into two cases.
% 21.04/5.43 |-Branch one:
% 21.04/5.43 | (670) ~ (all_0_111_111 = e10)
% 21.04/5.43 |
% 21.04/5.43 | Equations (787) can reduce 670 to:
% 21.04/5.43 | (392) $false
% 21.04/5.43 |
% 21.04/5.43 |-The branch is then unsatisfiable
% 21.04/5.43 |-Branch two:
% 21.04/5.43 | (787) all_0_111_111 = e10
% 21.04/5.43 | (752) all_0_114_114 = e13
% 21.04/5.43 |
% 21.04/5.43 | Combining equations (1465,752) yields a new equation:
% 21.04/5.43 | (957) e13 = e12
% 21.04/5.43 |
% 21.04/5.43 | Equations (957) can reduce 278 to:
% 21.04/5.43 | (392) $false
% 21.04/5.43 |
% 21.04/5.43 |-The branch is then unsatisfiable
% 21.04/5.43 |-Branch two:
% 21.04/5.43 | (683) ~ (all_0_114_114 = e12)
% 21.04/5.43 | (1469) all_0_116_116 = e12 | all_0_119_119 = e12 | all_0_123_123 = e12
% 21.04/5.43 |
% 21.04/5.43 +-Applying beta-rule and splitting (155), into two cases.
% 21.04/5.43 |-Branch one:
% 21.04/5.43 | (834) all_0_111_111 = e11
% 21.04/5.43 |
% 21.04/5.43 | Combining equations (834,787) yields a new equation:
% 21.04/5.43 | (1095) e11 = e10
% 21.04/5.43 |
% 21.04/5.43 | Simplifying 1095 yields:
% 21.04/5.43 | (803) e11 = e10
% 21.04/5.43 |
% 21.04/5.43 | Equations (803) can reduce 284 to:
% 21.04/5.43 | (392) $false
% 21.04/5.43 |
% 21.04/5.43 |-The branch is then unsatisfiable
% 21.04/5.43 |-Branch two:
% 21.04/5.43 | (936) ~ (all_0_111_111 = e11)
% 21.04/5.43 | (1577) all_0_117_117 = e11 | all_0_120_120 = e11
% 21.04/5.43 |
% 21.04/5.43 +-Applying beta-rule and splitting (1577), into two cases.
% 21.04/5.43 |-Branch one:
% 21.04/5.43 | (744) all_0_117_117 = e11
% 21.04/5.43 |
% 21.04/5.43 | Equations (744) can reduce 982 to:
% 21.04/5.43 | (392) $false
% 21.04/5.43 |
% 21.04/5.43 |-The branch is then unsatisfiable
% 21.04/5.43 |-Branch two:
% 21.04/5.43 | (982) ~ (all_0_117_117 = e11)
% 21.04/5.43 | (1079) all_0_120_120 = e11
% 21.04/5.43 |
% 21.04/5.43 | Equations (1079) can reduce 1001 to:
% 21.04/5.43 | (706) ~ (e12 = e11)
% 21.04/5.43 |
% 21.04/5.43 | Simplifying 706 yields:
% 21.04/5.43 | (299) ~ (e12 = e11)
% 21.04/5.43 |
% 21.04/5.43 +-Applying beta-rule and splitting (1469), into two cases.
% 21.04/5.43 |-Branch one:
% 21.04/5.43 | (682) all_0_116_116 = e12
% 21.04/5.43 |
% 21.04/5.43 | Combining equations (722,682) yields a new equation:
% 21.04/5.44 | (679) e12 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (679) can reduce 147 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (1474) ~ (all_0_116_116 = e12)
% 21.04/5.44 | (1475) all_0_119_119 = e12 | all_0_123_123 = e12
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (1475), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1476) all_0_119_119 = e12
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (779,1476) yields a new equation:
% 21.04/5.44 | (749) e12 = e11
% 21.04/5.44 |
% 21.04/5.44 | Equations (749) can reduce 299 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (685) ~ (all_0_119_119 = e12)
% 21.04/5.44 | (1013) all_0_123_123 = e12
% 21.04/5.44 |
% 21.04/5.44 | Equations (1013) can reduce 687 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (1241) all_0_120_120 = e10 & all_0_123_123 = e13
% 21.04/5.44 |
% 21.04/5.44 | Applying alpha-rule on (1241) yields:
% 21.04/5.44 | (759) all_0_120_120 = e10
% 21.04/5.44 | (832) all_0_123_123 = e13
% 21.04/5.44 |
% 21.04/5.44 | Equations (759) can reduce 674 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (1247) all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13)
% 21.04/5.44 |
% 21.04/5.44 | Applying alpha-rule on (1247) yields:
% 21.04/5.44 | (771) all_0_121_121 = e10
% 21.04/5.44 | (1013) all_0_123_123 = e12
% 21.04/5.44 | (1250) ~ (all_0_111_111 = e12) | all_0_112_112 = e13
% 21.04/5.44 |
% 21.04/5.44 | Equations (1013) can reduce 687 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (670) ~ (all_0_111_111 = e10)
% 21.04/5.44 | (1859) all_0_115_115 = e10 | all_0_120_120 = e10
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (1859), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (669) all_0_115_115 = e10
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (669,678) yields a new equation:
% 21.04/5.44 | (679) e12 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (679) can reduce 147 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (1297) ~ (all_0_115_115 = e10)
% 21.04/5.44 | (759) all_0_120_120 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (759) can reduce 674 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (681) ~ (all_0_115_115 = e12)
% 21.04/5.44 | (669) all_0_115_115 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (669) can reduce 286 to:
% 21.04/5.44 | (670) ~ (all_0_111_111 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Equations (669) can reduce 152 to:
% 21.04/5.44 | (671) ~ (all_0_117_117 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 671 yields:
% 21.04/5.44 | (219) ~ (all_0_117_117 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Equations (669) can reduce 256 to:
% 21.04/5.44 | (673) ~ (all_0_120_120 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 673 yields:
% 21.04/5.44 | (674) ~ (all_0_120_120 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Equations (669) can reduce 121 to:
% 21.04/5.44 | (675) ~ (e13 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 675 yields:
% 21.04/5.44 | (189) ~ (e13 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Equations (669) can reduce 681 to:
% 21.04/5.44 | (716) ~ (e12 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 716 yields:
% 21.04/5.44 | (147) ~ (e12 = e10)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (340), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (678) all_0_115_115 = e12
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (669,678) yields a new equation:
% 21.04/5.44 | (679) e12 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (679) can reduce 147 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (681) ~ (all_0_115_115 = e12)
% 21.04/5.44 | (682) all_0_116_116 = e12
% 21.04/5.44 |
% 21.04/5.44 | Equations (682) can reduce 195 to:
% 21.04/5.44 | (683) ~ (all_0_114_114 = e12)
% 21.04/5.44 |
% 21.04/5.44 | Equations (682) can reduce 78 to:
% 21.04/5.44 | (684) ~ (all_0_119_119 = e12)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 684 yields:
% 21.04/5.44 | (685) ~ (all_0_119_119 = e12)
% 21.04/5.44 |
% 21.04/5.44 | Equations (682) can reduce 126 to:
% 21.04/5.44 | (686) ~ (all_0_123_123 = e12)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 686 yields:
% 21.04/5.44 | (687) ~ (all_0_123_123 = e12)
% 21.04/5.44 |
% 21.04/5.44 | Equations (682) can reduce 63 to:
% 21.04/5.44 | (1052) ~ (e13 = e12)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 1052 yields:
% 21.04/5.44 | (278) ~ (e13 = e12)
% 21.04/5.44 |
% 21.04/5.44 | Equations (682) can reduce 69 to:
% 21.04/5.44 | (299) ~ (e12 = e11)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (50), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (787) all_0_111_111 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (787) can reduce 670 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (670) ~ (all_0_111_111 = e10)
% 21.04/5.44 | (790) all_0_112_112 = e10 | all_0_114_114 = e10
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (71), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (718) all_0_114_114 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (718) can reduce 359 to:
% 21.04/5.44 | (799) ~ (all_0_119_119 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 799 yields:
% 21.04/5.44 | (159) ~ (all_0_119_119 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Equations (718) can reduce 683 to:
% 21.04/5.44 | (716) ~ (e12 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 716 yields:
% 21.04/5.44 | (147) ~ (e12 = e10)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (230), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (730) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))) | (all_0_116_116 = e10 & all_0_121_121 = e10)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (730), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (731) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))) | (all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)))
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (731), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (732) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))) | (all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)))
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (732), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (733) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)))
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (733), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (734) (all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))) | (all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)))
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (734), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (735) all_0_112_112 = e12 & all_0_115_115 = e12 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 21.04/5.44 |
% 21.04/5.44 | Applying alpha-rule on (735) yields:
% 21.04/5.44 | (736) all_0_112_112 = e12
% 21.04/5.44 | (678) all_0_115_115 = e12
% 21.04/5.44 | (738) ~ (all_0_111_111 = e13)
% 21.04/5.44 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (669,678) yields a new equation:
% 21.04/5.44 | (679) e12 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (679) can reduce 147 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (742) all_0_113_113 = e11 & all_0_117_117 = e11 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)) & ( ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13))
% 21.04/5.44 |
% 21.04/5.44 | Applying alpha-rule on (742) yields:
% 21.04/5.44 | (739) ~ (all_0_111_111 = e10) | ~ (all_0_114_114 = e13)
% 21.04/5.44 | (744) all_0_117_117 = e11
% 21.04/5.44 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 21.04/5.44 | (738) ~ (all_0_111_111 = e13)
% 21.04/5.44 | (747) all_0_113_113 = e11
% 21.04/5.44 |
% 21.04/5.44 | Equations (744) can reduce 91 to:
% 21.04/5.44 | (1173) ~ (all_0_119_119 = e11)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 1173 yields:
% 21.04/5.44 | (998) ~ (all_0_119_119 = e11)
% 21.04/5.44 |
% 21.04/5.44 | Equations (744) can reduce 303 to:
% 21.04/5.44 | (1074) ~ (all_0_120_120 = e11)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 1074 yields:
% 21.04/5.44 | (1075) ~ (all_0_120_120 = e11)
% 21.04/5.44 |
% 21.04/5.44 | Equations (744) can reduce 219 to:
% 21.04/5.44 | (284) ~ (e11 = e10)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (102), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (813) all_0_117_117 = e12
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (813,744) yields a new equation:
% 21.04/5.44 | (748) e12 = e11
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 748 yields:
% 21.04/5.44 | (749) e12 = e11
% 21.04/5.44 |
% 21.04/5.44 | Equations (749) can reduce 299 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (792) ~ (all_0_117_117 = e12)
% 21.04/5.44 | (816) all_0_118_118 = e12 | all_0_119_119 = e12
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (45), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1079) all_0_120_120 = e11
% 21.04/5.44 |
% 21.04/5.44 | Equations (1079) can reduce 1075 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (1075) ~ (all_0_120_120 = e11)
% 21.04/5.44 | (1082) all_0_122_122 = e11 | all_0_123_123 = e11
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (816), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (824) all_0_118_118 = e12
% 21.04/5.44 |
% 21.04/5.44 | Equations (824) can reduce 46 to:
% 21.04/5.44 | (694) ~ (all_0_112_112 = e12)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (335), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (828) all_0_112_112 = e13
% 21.04/5.44 |
% 21.04/5.44 | Equations (828) can reduce 694 to:
% 21.04/5.44 | (278) ~ (e13 = e12)
% 21.04/5.44 |
% 21.04/5.44 | Equations (828) can reduce 28 to:
% 21.04/5.44 | (341) ~ (e13 = e11)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (224), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (817) all_0_117_117 = e13
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (744,817) yields a new equation:
% 21.04/5.44 | (1245) e13 = e11
% 21.04/5.44 |
% 21.04/5.44 | Equations (1245) can reduce 341 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (978) ~ (all_0_117_117 = e13)
% 21.04/5.44 | (3089) all_0_118_118 = e13 | all_0_119_119 = e13
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (251), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (802) all_0_114_114 = e11
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (718,802) yields a new equation:
% 21.04/5.44 | (803) e11 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (803) can reduce 284 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (805) ~ (all_0_114_114 = e11)
% 21.04/5.44 | (806) all_0_119_119 = e11 | all_0_123_123 = e11
% 21.04/5.44 |
% 21.04/5.44 | Equations (718) can reduce 805 to:
% 21.04/5.44 | (784) ~ (e11 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 784 yields:
% 21.04/5.44 | (284) ~ (e11 = e10)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (3089), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (821) all_0_118_118 = e13
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (821,824) yields a new equation:
% 21.04/5.44 | (1969) e13 = e12
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 1969 yields:
% 21.04/5.44 | (957) e13 = e12
% 21.04/5.44 |
% 21.04/5.44 | Equations (957) can reduce 278 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (819) ~ (all_0_118_118 = e13)
% 21.04/5.44 | (1552) all_0_119_119 = e13
% 21.04/5.44 |
% 21.04/5.44 | Equations (1552) can reduce 150 to:
% 21.04/5.44 | (1439) ~ (all_0_123_123 = e13)
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 1439 yields:
% 21.04/5.44 | (946) ~ (all_0_123_123 = e13)
% 21.04/5.44 |
% 21.04/5.44 | Equations (1552) can reduce 159 to:
% 21.04/5.44 | (189) ~ (e13 = e10)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (357), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (753) all_0_120_120 = e13
% 21.04/5.44 |
% 21.04/5.44 | Equations (753) can reduce 270 to:
% 21.04/5.44 | (738) ~ (all_0_111_111 = e13)
% 21.04/5.44 |
% 21.04/5.44 | Equations (753) can reduce 1075 to:
% 21.04/5.44 | (341) ~ (e13 = e11)
% 21.04/5.44 |
% 21.04/5.44 | Equations (753) can reduce 674 to:
% 21.04/5.44 | (189) ~ (e13 = e10)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (745), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1219) ~ (all_0_111_111 = e12)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (218), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1216) all_0_111_111 = e12
% 21.04/5.44 |
% 21.04/5.44 | Equations (1216) can reduce 1219 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (1219) ~ (all_0_111_111 = e12)
% 21.04/5.44 | (1906) all_0_112_112 = e12 | all_0_113_113 = e12 | all_0_114_114 = e12
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (110), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1176) all_0_111_111 = e13
% 21.04/5.44 |
% 21.04/5.44 | Equations (1176) can reduce 738 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (738) ~ (all_0_111_111 = e13)
% 21.04/5.44 | (3112) all_0_111_111 = e12 | all_0_111_111 = e11 | all_0_111_111 = e10
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (327), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1216) all_0_111_111 = e12
% 21.04/5.44 |
% 21.04/5.44 | Equations (1216) can reduce 1219 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (1219) ~ (all_0_111_111 = e12)
% 21.04/5.44 | (3481) all_0_115_115 = e12 | all_0_117_117 = e12 | all_0_120_120 = e12
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (9), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1206) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (1206), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1207) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (1207), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1208) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (1208), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1209) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11)
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (1209), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1210) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10))
% 21.04/5.44 |
% 21.04/5.44 +-Applying beta-rule and splitting (1210), into two cases.
% 21.04/5.44 |-Branch one:
% 21.04/5.44 | (1211) all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Applying alpha-rule on (1211) yields:
% 21.04/5.44 | (1176) all_0_111_111 = e13
% 21.04/5.44 | (1213) ~ (all_0_123_123 = e13) | all_0_120_120 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (1176) can reduce 738 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (1215) all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)
% 21.04/5.44 |
% 21.04/5.44 | Applying alpha-rule on (1215) yields:
% 21.04/5.44 | (1216) all_0_111_111 = e12
% 21.04/5.44 | (828) all_0_112_112 = e13
% 21.04/5.44 | (1218) ~ (all_0_123_123 = e12) | all_0_121_121 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (1216) can reduce 1219 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (1224) all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11
% 21.04/5.44 |
% 21.04/5.44 | Applying alpha-rule on (1224) yields:
% 21.04/5.44 | (787) all_0_111_111 = e10
% 21.04/5.44 | (752) all_0_114_114 = e13
% 21.04/5.44 | (779) all_0_119_119 = e11
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (752,718) yields a new equation:
% 21.04/5.44 | (949) e13 = e10
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 949 yields:
% 21.04/5.44 | (950) e13 = e10
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (1552,779) yields a new equation:
% 21.04/5.44 | (1244) e13 = e11
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 1244 yields:
% 21.04/5.44 | (1245) e13 = e11
% 21.04/5.44 |
% 21.04/5.44 | Combining equations (1245,950) yields a new equation:
% 21.04/5.44 | (1095) e11 = e10
% 21.04/5.44 |
% 21.04/5.44 | Simplifying 1095 yields:
% 21.04/5.44 | (803) e11 = e10
% 21.04/5.44 |
% 21.04/5.44 | Equations (803) can reduce 284 to:
% 21.04/5.44 | (392) $false
% 21.04/5.44 |
% 21.04/5.44 |-The branch is then unsatisfiable
% 21.04/5.44 |-Branch two:
% 21.04/5.44 | (1231) all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 21.04/5.44 |
% 21.04/5.45 | Applying alpha-rule on (1231) yields:
% 21.04/5.45 | (779) all_0_119_119 = e11
% 21.04/5.45 | (726) all_0_123_123 = e10
% 21.04/5.45 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (779,1552) yields a new equation:
% 21.04/5.45 | (1245) e13 = e11
% 21.04/5.45 |
% 21.04/5.45 | Equations (1245) can reduce 341 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1237) all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (1237) yields:
% 21.04/5.45 | (779) all_0_119_119 = e11
% 21.04/5.45 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (1552,779) yields a new equation:
% 21.04/5.45 | (1244) e13 = e11
% 21.04/5.45 |
% 21.04/5.45 | Simplifying 1244 yields:
% 21.04/5.45 | (1245) e13 = e11
% 21.04/5.45 |
% 21.04/5.45 | Equations (1245) can reduce 341 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1241) all_0_120_120 = e10 & all_0_123_123 = e13
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (1241) yields:
% 21.04/5.45 | (759) all_0_120_120 = e10
% 21.04/5.45 | (832) all_0_123_123 = e13
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (759,753) yields a new equation:
% 21.04/5.45 | (950) e13 = e10
% 21.04/5.45 |
% 21.04/5.45 | Equations (950) can reduce 189 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1247) all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13)
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (1247) yields:
% 21.04/5.45 | (771) all_0_121_121 = e10
% 21.04/5.45 | (1013) all_0_123_123 = e12
% 21.04/5.45 | (1250) ~ (all_0_111_111 = e12) | all_0_112_112 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (1013) can reduce 687 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1216) all_0_111_111 = e12
% 21.04/5.45 | (967) ~ (all_0_112_112 = e13)
% 21.04/5.45 |
% 21.04/5.45 | Equations (828) can reduce 967 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (959) ~ (all_0_120_120 = e13)
% 21.04/5.45 | (960) all_0_121_121 = e13 | all_0_123_123 = e13
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (43), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (832) all_0_123_123 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (832) can reduce 946 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (946) ~ (all_0_123_123 = e13)
% 21.04/5.45 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (960), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (961) all_0_121_121 = e13
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (771,961) yields a new equation:
% 21.04/5.45 | (950) e13 = e10
% 21.04/5.45 |
% 21.04/5.45 | Equations (950) can reduce 189 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (964) ~ (all_0_121_121 = e13)
% 21.04/5.45 | (832) all_0_123_123 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (832) can reduce 946 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (967) ~ (all_0_112_112 = e13)
% 21.04/5.45 | (972) all_0_112_112 = e12 | all_0_112_112 = e10
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (224), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (817) all_0_117_117 = e13
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (744,817) yields a new equation:
% 21.04/5.45 | (1245) e13 = e11
% 21.04/5.45 |
% 21.04/5.45 | Equations (1245) can reduce 341 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (978) ~ (all_0_117_117 = e13)
% 21.04/5.45 | (3089) all_0_118_118 = e13 | all_0_119_119 = e13
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (354), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (828) all_0_112_112 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (828) can reduce 967 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (967) ~ (all_0_112_112 = e13)
% 21.04/5.45 | (968) all_0_118_118 = e13 | all_0_121_121 = e13
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (193), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (1552) all_0_119_119 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (1552) can reduce 150 to:
% 21.04/5.45 | (1439) ~ (all_0_123_123 = e13)
% 21.04/5.45 |
% 21.04/5.45 | Simplifying 1439 yields:
% 21.04/5.45 | (946) ~ (all_0_123_123 = e13)
% 21.04/5.45 |
% 21.04/5.45 | Equations (1552) can reduce 998 to:
% 21.04/5.45 | (341) ~ (e13 = e11)
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (251), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (802) all_0_114_114 = e11
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (802,718) yields a new equation:
% 21.04/5.45 | (1095) e11 = e10
% 21.04/5.45 |
% 21.04/5.45 | Simplifying 1095 yields:
% 21.04/5.45 | (803) e11 = e10
% 21.04/5.45 |
% 21.04/5.45 | Equations (803) can reduce 284 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (805) ~ (all_0_114_114 = e11)
% 21.04/5.45 | (806) all_0_119_119 = e11 | all_0_123_123 = e11
% 21.04/5.45 |
% 21.04/5.45 | Equations (718) can reduce 805 to:
% 21.04/5.45 | (784) ~ (e11 = e10)
% 21.04/5.45 |
% 21.04/5.45 | Simplifying 784 yields:
% 21.04/5.45 | (284) ~ (e11 = e10)
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (43), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (832) all_0_123_123 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (832) can reduce 946 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (946) ~ (all_0_123_123 = e13)
% 21.04/5.45 | (947) all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (132), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (1176) all_0_111_111 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (1176) can reduce 738 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (738) ~ (all_0_111_111 = e13)
% 21.04/5.45 | (1179) all_0_112_112 = e13 | all_0_114_114 = e13
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (6), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (1176) all_0_111_111 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (1176) can reduce 738 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (738) ~ (all_0_111_111 = e13)
% 21.04/5.45 | (1205) all_0_117_117 = e13 | all_0_120_120 = e13
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (110), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (1176) all_0_111_111 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (1176) can reduce 738 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (738) ~ (all_0_111_111 = e13)
% 21.04/5.45 | (3112) all_0_111_111 = e12 | all_0_111_111 = e11 | all_0_111_111 = e10
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (9), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (1206) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_120_120 = e10 & all_0_123_123 = e13)
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (1206), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (1207) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)) | (all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (1207), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (1208) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11) | (all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13))
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (1208), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (1209) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)) | (all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11)
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (1209), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (1210) (all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)) | (all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10))
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (1210), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (1211) all_0_111_111 = e13 & ( ~ (all_0_123_123 = e13) | all_0_120_120 = e10)
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (1211) yields:
% 21.04/5.45 | (1176) all_0_111_111 = e13
% 21.04/5.45 | (1213) ~ (all_0_123_123 = e13) | all_0_120_120 = e10
% 21.04/5.45 |
% 21.04/5.45 | Equations (1176) can reduce 738 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1215) all_0_111_111 = e12 & all_0_112_112 = e13 & ( ~ (all_0_123_123 = e12) | all_0_121_121 = e10)
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (1215) yields:
% 21.04/5.45 | (1216) all_0_111_111 = e12
% 21.04/5.45 | (828) all_0_112_112 = e13
% 21.04/5.45 | (1218) ~ (all_0_123_123 = e12) | all_0_121_121 = e10
% 21.04/5.45 |
% 21.04/5.45 | Equations (828) can reduce 967 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1224) all_0_111_111 = e10 & all_0_114_114 = e13 & all_0_119_119 = e11
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (1224) yields:
% 21.04/5.45 | (787) all_0_111_111 = e10
% 21.04/5.45 | (752) all_0_114_114 = e13
% 21.04/5.45 | (779) all_0_119_119 = e11
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (752,718) yields a new equation:
% 21.04/5.45 | (949) e13 = e10
% 21.04/5.45 |
% 21.04/5.45 | Simplifying 949 yields:
% 21.04/5.45 | (950) e13 = e10
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (1552,779) yields a new equation:
% 21.04/5.45 | (1244) e13 = e11
% 21.04/5.45 |
% 21.04/5.45 | Simplifying 1244 yields:
% 21.04/5.45 | (1245) e13 = e11
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (1245,950) yields a new equation:
% 21.04/5.45 | (1095) e11 = e10
% 21.04/5.45 |
% 21.04/5.45 | Simplifying 1095 yields:
% 21.04/5.45 | (803) e11 = e10
% 21.04/5.45 |
% 21.04/5.45 | Equations (803) can reduce 284 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1231) all_0_119_119 = e11 & all_0_123_123 = e10 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (1231) yields:
% 21.04/5.45 | (779) all_0_119_119 = e11
% 21.04/5.45 | (726) all_0_123_123 = e10
% 21.04/5.45 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (1552,779) yields a new equation:
% 21.04/5.45 | (1244) e13 = e11
% 21.04/5.45 |
% 21.04/5.45 | Simplifying 1244 yields:
% 21.04/5.45 | (1245) e13 = e11
% 21.04/5.45 |
% 21.04/5.45 | Equations (1245) can reduce 341 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1237) all_0_119_119 = e11 & ( ~ (all_0_111_111 = e10) | all_0_114_114 = e13)
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (1237) yields:
% 21.04/5.45 | (779) all_0_119_119 = e11
% 21.04/5.45 | (1234) ~ (all_0_111_111 = e10) | all_0_114_114 = e13
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (779,1552) yields a new equation:
% 21.04/5.45 | (1245) e13 = e11
% 21.04/5.45 |
% 21.04/5.45 | Equations (1245) can reduce 341 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1241) all_0_120_120 = e10 & all_0_123_123 = e13
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (1241) yields:
% 21.04/5.45 | (759) all_0_120_120 = e10
% 21.04/5.45 | (832) all_0_123_123 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (832) can reduce 946 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1247) all_0_121_121 = e10 & all_0_123_123 = e12 & ( ~ (all_0_111_111 = e12) | all_0_112_112 = e13)
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (1247) yields:
% 21.04/5.45 | (771) all_0_121_121 = e10
% 21.04/5.45 | (1013) all_0_123_123 = e12
% 21.04/5.45 | (1250) ~ (all_0_111_111 = e12) | all_0_112_112 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (1013) can reduce 687 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1556) ~ (all_0_119_119 = e13)
% 21.04/5.45 | (1849) all_0_119_119 = e12 | all_0_119_119 = e11
% 21.04/5.45 |
% 21.04/5.45 +-Applying beta-rule and splitting (3089), into two cases.
% 21.04/5.45 |-Branch one:
% 21.04/5.45 | (821) all_0_118_118 = e13
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (824,821) yields a new equation:
% 21.04/5.45 | (957) e13 = e12
% 21.04/5.45 |
% 21.04/5.45 | Equations (957) can reduce 278 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (819) ~ (all_0_118_118 = e13)
% 21.04/5.45 | (1552) all_0_119_119 = e13
% 21.04/5.45 |
% 21.04/5.45 | Equations (1552) can reduce 1556 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (1877) ~ (all_0_118_118 = e12)
% 21.04/5.45 | (1476) all_0_119_119 = e12
% 21.04/5.45 |
% 21.04/5.45 | Equations (1476) can reduce 685 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (751) all_0_114_114 = e13 & all_0_120_120 = e13 & ~ (all_0_123_123 = e10) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (751) yields:
% 21.04/5.45 | (752) all_0_114_114 = e13
% 21.04/5.45 | (753) all_0_120_120 = e13
% 21.04/5.45 | (754) ~ (all_0_123_123 = e10)
% 21.04/5.45 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (752,718) yields a new equation:
% 21.04/5.45 | (949) e13 = e10
% 21.04/5.45 |
% 21.04/5.45 | Simplifying 949 yields:
% 21.04/5.45 | (950) e13 = e10
% 21.04/5.45 |
% 21.04/5.45 | Equations (950) can reduce 189 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (757) all_0_114_114 = e10 & all_0_120_120 = e10 & ~ (all_0_111_111 = e13) & ( ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13))
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (757) yields:
% 21.04/5.45 | (718) all_0_114_114 = e10
% 21.04/5.45 | (759) all_0_120_120 = e10
% 21.04/5.45 | (738) ~ (all_0_111_111 = e13)
% 21.04/5.45 | (745) ~ (all_0_111_111 = e12) | ~ (all_0_112_112 = e13)
% 21.04/5.45 |
% 21.04/5.45 | Equations (759) can reduce 674 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (763) all_0_116_116 = e12 & all_0_121_121 = e12 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13))
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (763) yields:
% 21.04/5.45 | (682) all_0_116_116 = e12
% 21.04/5.45 | (765) all_0_121_121 = e12
% 21.04/5.45 | (754) ~ (all_0_123_123 = e10)
% 21.04/5.45 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (771,765) yields a new equation:
% 21.04/5.45 | (679) e12 = e10
% 21.04/5.45 |
% 21.04/5.45 | Equations (679) can reduce 147 to:
% 21.04/5.45 | (392) $false
% 21.04/5.45 |
% 21.04/5.45 |-The branch is then unsatisfiable
% 21.04/5.45 |-Branch two:
% 21.04/5.45 | (769) all_0_116_116 = e10 & all_0_121_121 = e10
% 21.04/5.45 |
% 21.04/5.45 | Applying alpha-rule on (769) yields:
% 21.04/5.45 | (722) all_0_116_116 = e10
% 21.04/5.45 | (771) all_0_121_121 = e10
% 21.04/5.45 |
% 21.04/5.45 | Combining equations (722,682) yields a new equation:
% 21.04/5.45 | (679) e12 = e10
% 21.04/5.45 |
% 21.04/5.46 | Equations (679) can reduce 147 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (774) all_0_119_119 = e11 & all_0_122_122 = e11 & ~ (all_0_123_123 = e10) & ( ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)) & ( ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12))
% 21.04/5.46 |
% 21.04/5.46 | Applying alpha-rule on (774) yields:
% 21.04/5.46 | (767) ~ (all_0_120_120 = e10) | ~ (all_0_123_123 = e13)
% 21.04/5.46 | (754) ~ (all_0_123_123 = e10)
% 21.04/5.46 | (755) ~ (all_0_121_121 = e10) | ~ (all_0_123_123 = e12)
% 21.04/5.46 | (702) all_0_122_122 = e11
% 21.04/5.46 | (779) all_0_119_119 = e11
% 21.04/5.46 |
% 21.04/5.46 | Combining equations (702,699) yields a new equation:
% 21.04/5.46 | (749) e12 = e11
% 21.04/5.46 |
% 21.04/5.46 | Equations (749) can reduce 299 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (715) ~ (all_0_114_114 = e10)
% 21.04/5.46 | (721) all_0_116_116 = e10 | all_0_123_123 = e10
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (266), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (752) all_0_114_114 = e13
% 21.04/5.46 |
% 21.04/5.46 | Equations (752) can reduce 715 to:
% 21.04/5.46 | (189) ~ (e13 = e10)
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (790), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (713) all_0_112_112 = e10
% 21.04/5.46 |
% 21.04/5.46 | Equations (713) can reduce 781 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (781) ~ (all_0_112_112 = e10)
% 21.04/5.46 | (718) all_0_114_114 = e10
% 21.04/5.46 |
% 21.04/5.46 | Combining equations (718,752) yields a new equation:
% 21.04/5.46 | (950) e13 = e10
% 21.04/5.46 |
% 21.04/5.46 | Equations (950) can reduce 189 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (952) ~ (all_0_114_114 = e13)
% 21.04/5.46 | (3336) all_0_114_114 = e12 | all_0_114_114 = e11 | all_0_114_114 = e10
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (3336), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (1465) all_0_114_114 = e12
% 21.04/5.46 |
% 21.04/5.46 | Equations (1465) can reduce 683 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (683) ~ (all_0_114_114 = e12)
% 21.04/5.46 | (3340) all_0_114_114 = e11 | all_0_114_114 = e10
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (3340), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (718) all_0_114_114 = e10
% 21.04/5.46 |
% 21.04/5.46 | Equations (718) can reduce 715 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (715) ~ (all_0_114_114 = e10)
% 21.04/5.46 | (802) all_0_114_114 = e11
% 21.04/5.46 |
% 21.04/5.46 | Equations (802) can reduce 805 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (942) ~ (all_0_113_113 = e11)
% 21.04/5.46 | (702) all_0_122_122 = e11
% 21.04/5.46 |
% 21.04/5.46 | Combining equations (699,702) yields a new equation:
% 21.04/5.46 | (748) e12 = e11
% 21.04/5.46 |
% 21.04/5.46 | Simplifying 748 yields:
% 21.04/5.46 | (749) e12 = e11
% 21.04/5.46 |
% 21.04/5.46 | Equations (749) can reduce 299 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (7154) ~ (all_0_107_107 = e23)
% 21.04/5.46 | (7155) all_0_107_107 = e22 | all_0_107_107 = e21
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (2132), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (489) all_0_104_104 = e22
% 21.04/5.46 |
% 21.04/5.46 | Equations (489) can reduce 397 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (397) ~ (all_0_104_104 = e22)
% 21.04/5.46 | (431) all_0_104_104 = e21
% 21.04/5.46 |
% 21.04/5.46 | Equations (431) can reduce 2131 to:
% 21.04/5.46 | (7160) ~ (e23 = e21)
% 21.04/5.46 |
% 21.04/5.46 | Simplifying 7160 yields:
% 21.04/5.46 | (275) ~ (e23 = e21)
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (179), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (437) all_0_107_107 = e23
% 21.04/5.46 |
% 21.04/5.46 | Equations (437) can reduce 7154 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (7154) ~ (all_0_107_107 = e23)
% 21.04/5.46 | (7165) all_0_108_108 = e23 | all_0_110_110 = e23
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (165), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (2221) all_0_98_98 = e23
% 21.04/5.46 |
% 21.04/5.46 | Combining equations (2273,2221) yields a new equation:
% 21.04/5.46 | (440) e23 = e20
% 21.04/5.46 |
% 21.04/5.46 | Equations (440) can reduce 262 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (422) ~ (all_0_98_98 = e23)
% 21.04/5.46 | (7170) all_0_104_104 = e23 | all_0_107_107 = e23
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (7170), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (505) all_0_104_104 = e23
% 21.04/5.46 |
% 21.04/5.46 | Combining equations (431,505) yields a new equation:
% 21.04/5.46 | (2147) e23 = e21
% 21.04/5.46 |
% 21.04/5.46 | Equations (2147) can reduce 275 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (2131) ~ (all_0_104_104 = e23)
% 21.04/5.46 | (437) all_0_107_107 = e23
% 21.04/5.46 |
% 21.04/5.46 | Equations (437) can reduce 7154 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (2579) ~ (all_0_106_106 = e23)
% 21.04/5.46 | (7178) all_0_106_106 = e22 | all_0_106_106 = e21
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (237), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (436) all_0_101_101 = e23
% 21.04/5.46 |
% 21.04/5.46 | Combining equations (2145,436) yields a new equation:
% 21.04/5.46 | (2147) e23 = e21
% 21.04/5.46 |
% 21.04/5.46 | Equations (2147) can reduce 275 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (2149) ~ (all_0_101_101 = e23)
% 21.04/5.46 | (2575) all_0_106_106 = e23 | all_0_110_110 = e23
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (2575), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (2576) all_0_106_106 = e23
% 21.04/5.46 |
% 21.04/5.46 | Equations (2576) can reduce 2579 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (2579) ~ (all_0_106_106 = e23)
% 21.04/5.46 | (2580) all_0_110_110 = e23
% 21.04/5.46 |
% 21.04/5.46 | Combining equations (2580,549) yields a new equation:
% 21.04/5.46 | (526) e23 = e22
% 21.04/5.46 |
% 21.04/5.46 | Simplifying 526 yields:
% 21.04/5.46 | (527) e23 = e22
% 21.04/5.46 |
% 21.04/5.46 | Equations (527) can reduce 31 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (2229) ~ (all_0_99_99 = e23)
% 21.04/5.46 | (420) all_0_99_99 = e22
% 21.04/5.46 |
% 21.04/5.46 | Equations (420) can reduce 2214 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (2156) ~ (all_0_100_100 = e22)
% 21.04/5.46 | (544) all_0_109_109 = e22
% 21.04/5.46 |
% 21.04/5.46 | Combining equations (544,462) yields a new equation:
% 21.04/5.46 | (545) e22 = e21
% 21.04/5.46 |
% 21.04/5.46 | Simplifying 545 yields:
% 21.04/5.46 | (433) e22 = e21
% 21.04/5.46 |
% 21.04/5.46 | Equations (433) can reduce 241 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (377) ~ (all_0_98_98 = e20)
% 21.04/5.46 | (2409) all_0_99_99 = e20 | all_0_101_101 = e20
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (309), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (2273) all_0_98_98 = e20
% 21.04/5.46 |
% 21.04/5.46 | Equations (2273) can reduce 377 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (377) ~ (all_0_98_98 = e20)
% 21.04/5.46 | (2276) all_0_102_102 = e20 | all_0_107_107 = e20
% 21.04/5.46 |
% 21.04/5.46 +-Applying beta-rule and splitting (2276), into two cases.
% 21.04/5.46 |-Branch one:
% 21.04/5.46 | (391) all_0_102_102 = e20
% 21.04/5.46 |
% 21.04/5.46 | Combining equations (391,394) yields a new equation:
% 21.04/5.46 | (425) e22 = e20
% 21.04/5.46 |
% 21.04/5.46 | Equations (425) can reduce 111 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 |-Branch two:
% 21.04/5.46 | (387) ~ (all_0_102_102 = e20)
% 21.04/5.46 | (401) all_0_107_107 = e20
% 21.04/5.46 |
% 21.04/5.46 | Equations (401) can reduce 478 to:
% 21.04/5.46 | (392) $false
% 21.04/5.46 |
% 21.04/5.46 |-The branch is then unsatisfiable
% 21.04/5.46 % SZS output end Proof for theBenchmark
% 21.04/5.46
% 21.04/5.46 4879ms
%------------------------------------------------------------------------------