TSTP Solution File: ALG125+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:35:15 EDT 2022
% Result : Theorem 6.05s 1.93s
% Output : Proof 10.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 05:56:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.54/0.59 ____ _
% 0.54/0.59 ___ / __ \_____(_)___ ________ __________
% 0.54/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.59
% 0.54/0.59 A Theorem Prover for First-Order Logic
% 0.54/0.60 (ePrincess v.1.0)
% 0.54/0.60
% 0.54/0.60 (c) Philipp Rümmer, 2009-2015
% 0.54/0.60 (c) Peter Backeman, 2014-2015
% 0.54/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.60 Bug reports to peter@backeman.se
% 0.54/0.60
% 0.54/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.60
% 0.54/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.65/1.18 Prover 0: Preprocessing ...
% 4.79/1.64 Prover 0: Constructing countermodel ...
% 6.05/1.93 Prover 0: proved (1278ms)
% 6.05/1.93
% 6.05/1.93 No countermodel exists, formula is valid
% 6.05/1.93 % SZS status Theorem for theBenchmark
% 6.05/1.93
% 6.05/1.93 Generating proof ... found it (size 550)
% 9.85/2.87
% 9.85/2.87 % SZS output start Proof for theBenchmark
% 9.85/2.87 Assumed formulas after preprocessing and simplification:
% 9.85/2.87 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ? [v84] : ? [v85] : ? [v86] : ? [v87] : ? [v88] : ? [v89] : ? [v90] : ? [v91] : ? [v92] : ? [v93] : ? [v94] : ? [v95] : ? [v96] : ? [v97] : ? [v98] : ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ? [v111] : ? [v112] : ? [v113] : ? [v114] : ? [v115] : ? [v116] : ? [v117] : ? [v118] : ? [v119] : ? [v120] : ? [v121] : ? [v122] : ? [v123] : ? [v124] : ? [v125] : ? [v126] : ( ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v13) & ~ (v19 = e21) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v14) & ~ (v18 = v12) & ~ (v18 = e20) & ~ (v17 = v16) & ~ (v17 = v11) & ~ (v17 = e23) & ~ (v17 = e20) & ~ (v16 = v10) & ~ (v16 = e22) & ~ (v16 = e21) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = e21) & ~ (v15 = e20) & ~ (v14 = v12) & ~ (v14 = e21) & ~ (v14 = e20) & ~ (v13 = v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = e21) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = e20) & ~ (v11 = v10) & ~ (v11 = e23) & ~ (v11 = e20) & ~ (v10 = e22) & ~ (v10 = e21) & ~ (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v3) & ~ (v9 = e11) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v4) & ~ (v8 = v2) & ~ (v8 = e10) & ~ (v7 = v6) & ~ (v7 = v1) & ~ (v7 = e13) & ~ (v7 = e10) & ~ (v6 = v0) & ~ (v6 = e12) & ~ (v6 = e11) & ~ (v5 = v4) & ~ (v5 = v3) & ~ (v5 = e11) & ~ (v5 = e10) & ~ (v4 = v2) & ~ (v4 = e11) & ~ (v4 = e10) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e11) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e10) & ~ (v1 = v0) & ~ (v1 = e13) & ~ (v1 = e10) & ~ (v0 = e12) & ~ (v0 = e11) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, v9) = v29 & op1(e13, v5) = v25 & op1(e13, v3) = v23 & op1(e13, e13) = e11 & op1(e13, e12) = e10 & op1(e13, e11) = e13 & op1(e13, e10) = e12 & op1(e12, v8) = v28 & op1(e12, v4) = v24 & op1(e12, v2) = v22 & op1(e12, e13) = v9 & op1(e12, e12) = v8 & op1(e12, e11) = v7 & op1(e12, e10) = v6 & op1(e11, v7) = v27 & op1(e11, v1) = v21 & op1(e11, e13) = v5 & op1(e11, e12) = v4 & op1(e11, e11) = e10 & op1(e11, e10) = e11 & op1(e10, v6) = v26 & op1(e10, v0) = v20 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v9) = v65 & h1(v8) = v63 & h1(v7) = v61 & h1(v6) = v59 & h1(v5) = v57 & h1(v4) = v55 & h1(v3) = v51 & h1(v2) = v49 & h1(v1) = v47 & h1(v0) = v45 & h1(e13) = e20 & h1(e12) = v41 & h1(e11) = v10 & h1(e10) = v40 & h2(v9) = v88 & h2(v8) = v86 & h2(v7) = v84 & h2(v6) = v82 & h2(v5) = v81 & h2(v4) = v79 & h2(v3) = v76 & h2(v2) = v74 & h2(v1) = v72 & h2(v0) = v70 & h2(e13) = e21 & h2(e12) = v42 & h2(e11) = e20 & h2(e10) = v10 & h3(v9) = v112 & h3(v8) = v110 & h3(v7) = v108 & h3(v6) = v106 & h3(v5) = v104 & h3(v4) = v102 & h3(v3) = v98 & h3(v2) = v96 & h3(v1) = v94 & h3(v0) = v92 & h3(e13) = e22 & h3(e12) = v44 & h3(e11) = v18 & h3(e10) = v43 & h4(v9) = v126 & h4(v8) = v125 & h4(v7) = v124 & h4(v6) = v123 & h4(v5) = v122 & h4(v4) = v121 & h4(v3) = v120 & h4(v2) = v119 & h4(v1) = v118 & h4(v0) = v117 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(v44, v44) = v111 & op2(v44, v43) = v107 & op2(v44, v18) = v109 & op2(v44, e22) = v113 & op2(v43, v44) = v97 & op2(v43, v43) = v93 & op2(v43, v18) = v95 & op2(v43, e22) = v99 & op2(v42, v42) = v87 & op2(v42, v10) = v83 & op2(v42, e21) = v89 & op2(v42, e20) = v85 & op2(v41, v41) = v64 & op2(v41, v40) = v60 & op2(v41, v10) = v62 & op2(v41, e20) = v66 & op2(v40, v41) = v50 & op2(v40, v40) = v46 & op2(v40, v10) = v48 & op2(v40, e20) = v52 & op2(v18, v44) = v103 & op2(v18, v43) = v100 & op2(v18, v18) = v101 & op2(v18, v18) = v43 & op2(v18, e22) = v105 & op2(v10, v42) = v75 & op2(v10, v41) = v56 & op2(v10, v40) = v53 & op2(v10, v10) = v71 & op2(v10, v10) = v54 & op2(v10, v10) = v40 & op2(v10, e21) = v77 & op2(v10, e20) = v73 & op2(v10, e20) = v58 & op2(e23, v19) = v39 & op2(e23, v15) = v35 & op2(e23, v13) = v33 & op2(e23, e23) = e21 & op2(e23, e22) = e20 & op2(e23, e21) = e23 & op2(e23, e20) = e22 & op2(e22, v44) = v116 & op2(e22, v43) = v114 & op2(e22, v43) = v44 & op2(e22, v18) = v115 & op2(e22, v18) = v38 & op2(e22, v14) = v34 & op2(e22, v12) = v32 & op2(e22, e23) = v19 & op2(e22, e22) = v18 & op2(e22, e21) = v17 & op2(e22, e20) = v16 & op2(e21, v42) = v91 & op2(e21, v17) = v37 & op2(e21, v11) = v31 & op2(e21, v10) = v90 & op2(e21, v10) = v42 & op2(e21, e23) = v15 & op2(e21, e22) = v14 & op2(e21, e21) = e20 & op2(e21, e20) = e21 & op2(e20, v42) = v80 & op2(e20, v41) = v69 & op2(e20, v40) = v67 & op2(e20, v40) = v41 & op2(e20, v16) = v36 & op2(e20, v10) = v78 & op2(e20, v10) = v68 & op2(e20, v10) = v30 & op2(e20, e23) = v13 & op2(e20, e22) = v12 & op2(e20, e21) = v11 & op2(e20, e20) = v10 & ! [v127] : ! [v128] : ! [v129] : ! [v130] : (v128 = v127 | ~ (op1(v130, v129) = v128) | ~ (op1(v130, v129) = v127)) & ! [v127] : ! [v128] : ! [v129] : ! [v130] : (v128 = v127 | ~ (op2(v130, v129) = v128) | ~ (op2(v130, v129) = v127)) & ! [v127] : ! [v128] : ! [v129] : (v128 = v127 | ~ (h1(v129) = v128) | ~ (h1(v129) = v127)) & ! [v127] : ! [v128] : ! [v129] : (v128 = v127 | ~ (h2(v129) = v128) | ~ (h2(v129) = v127)) & ! [v127] : ! [v128] : ! [v129] : (v128 = v127 | ~ (h3(v129) = v128) | ~ (h3(v129) = v127)) & ! [v127] : ! [v128] : ! [v129] : (v128 = v127 | ~ (h4(v129) = v128) | ~ (h4(v129) = v127)) & ( ~ (v126 = v19) | ~ (v125 = v18) | ~ (v124 = v17) | ~ (v123 = v16) | ~ (v122 = v15) | ~ (v121 = v14) | ~ (v120 = v13) | ~ (v119 = v12) | ~ (v118 = v11) | ~ (v117 = v10)) & ( ~ (v116 = v43) | ~ (v115 = e22) | ~ (v114 = v44) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v43) | ~ (v100 = v18) | ~ (v99 = v98) | ~ (v97 = v96) | ~ (v95 = v94) | ~ (v93 = v92) | ( ~ (v44 = e23) & ~ (v43 = e23) & ~ (v18 = e23)) | ( ~ (v44 = e21) & ~ (v43 = e21) & ~ (v18 = e21)) | ( ~ (v44 = e20) & ~ (v43 = e20))) & ( ~ (v91 = e23) | ~ (v90 = e22) | ~ (v89 = v88) | ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 = v11) | ~ (v80 = v79) | ~ (v78 = e20) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v42 = e22) | ~ (v10 = e23)) & ( ~ (v69 = v40) | ~ (v68 = e20) | ~ (v67 = v41) | ~ (v66 = v65) | ~ (v64 = v63) | ~ (v62 = v61) | ~ (v60 = v59) | ~ (v58 = v57) | ~ (v56 = v55) | ~ (v54 = v40) | ~ (v53 = v10) | ~ (v52 = v51) | ~ (v50 = v49) | ~ (v48 = v47) | ~ (v46 = v45) | ( ~ (v41 = e23) & ~ (v40 = e23) & ~ (v10 = e23)) | ( ~ (v41 = e22) & ~ (v40 = e22)) | ( ~ (v41 = e21) & ~ (v40 = e21))) & ( ~ (v18 = e23) | v19 = e22) & ( ~ (v18 = e21) | v17 = e22) & ( ~ (v10 = e23) | v13 = e20) & ( ~ (v8 = e13) | v9 = e12) & ( ~ (v8 = e11) | v7 = e12) & ( ~ (v0 = e13) | v3 = e10) & (v19 = e23 | v19 = e22 | v19 = e20) & (v19 = e23 | v18 = e23 | v16 = e23) & (v19 = e23 | v15 = e23 | v13 = e23) & (v19 = e22 | v18 = e22 | v17 = e22) & (v19 = e22 | v15 = e22 | v13 = e22) & (v19 = e20 | v16 = e20) & (v19 = e20 | v13 = e20) & (v18 = e23 | v18 = e22 | v18 = e21) & (v18 = e23 | v14 = e23 | v12 = e23) & (v18 = e22 | v14 = e22 | v12 = e22) & (v18 = e22 | v10 = e20) & (v18 = e21 | v17 = e21) & (v18 = e21 | v12 = e21) & (v17 = e22 | v17 = e21) & (v17 = e22 | v11 = e22) & (v17 = e21 | v11 = e21) & (v16 = e23 | v16 = e20) & (v16 = e23 | v10 = e23) & (v16 = e20 | v10 = e20) & (v15 = e23 | v15 = e22) & (v15 = e23 | v14 = e23) & (v15 = e22 | v14 = e22) & (v14 = e23 | v14 = e22) & (v13 = e23 | v13 = e22 | v13 = e20) & (v13 = e23 | v12 = e23 | v10 = e23) & (v13 = e22 | v12 = e22 | v11 = e22) & (v13 = e20 | v10 = e20) & (v12 = e23 | v12 = e22 | v12 = e21) & (v12 = e21 | v11 = e21) & (v11 = e22 | v11 = e21) & (v10 = e23 | v10 = e20) & (v9 = e13 | v9 = e12 | v9 = e10) & (v9 = e13 | v8 = e13 | v6 = e13) & (v9 = e13 | v5 = e13 | v3 = e13) & (v9 = e12 | v8 = e12 | v7 = e12) & (v9 = e12 | v5 = e12 | v3 = e12) & (v9 = e10 | v6 = e10) & (v9 = e10 | v3 = e10) & (v8 = e13 | v8 = e12 | v8 = e11) & (v8 = e13 | v4 = e13 | v2 = e13) & (v8 = e12 | v4 = e12 | v2 = e12) & (v8 = e12 | v0 = e10) & (v8 = e11 | v7 = e11) & (v8 = e11 | v2 = e11) & (v7 = e12 | v7 = e11) & (v7 = e12 | v1 = e12) & (v7 = e11 | v1 = e11) & (v6 = e13 | v6 = e10) & (v6 = e13 | v0 = e13) & (v6 = e10 | v0 = e10) & (v5 = e13 | v5 = e12) & (v5 = e13 | v4 = e13) & (v5 = e12 | v4 = e12) & (v4 = e13 | v4 = e12) & (v3 = e13 | v3 = e12 | v3 = e10) & (v3 = e13 | v2 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12) & (v3 = e10 | v0 = e10) & (v2 = e13 | v2 = e12 | v2 = e11) & (v2 = e11 | v1 = e11) & (v1 = e12 | v1 = e11) & (v0 = e13 | v0 = e10) & (( ~ (v39 = v19) & ~ (v38 = v18) & ~ (v37 = v17) & ~ (v36 = v16)) | ( ~ (v35 = v15) & ~ (v34 = v14) & ~ (v11 = e21)) | ( ~ (v33 = v13) & ~ (v32 = v12) & ~ (v31 = v11) & ~ (v30 = v10)) | ( ~ (v16 = e20) & ~ (v15 = e23) & ~ (v12 = e22))) & (( ~ (v29 = v9) & ~ (v28 = v8) & ~ (v27 = v7) & ~ (v26 = v6)) | ( ~ (v25 = v5) & ~ (v24 = v4) & ~ (v1 = e11)) | ( ~ (v23 = v3) & ~ (v22 = v2) & ~ (v21 = v1) & ~ (v20 = v0)) | ( ~ (v6 = e10) & ~ (v5 = e13) & ~ (v2 = e12))))
% 10.15/2.93 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87, all_0_88_88, all_0_89_89, all_0_90_90, all_0_91_91, all_0_92_92, all_0_93_93, all_0_94_94, all_0_95_95, all_0_96_96, all_0_97_97, all_0_98_98, all_0_99_99, all_0_100_100, all_0_101_101, all_0_102_102, all_0_103_103, all_0_104_104, all_0_105_105, all_0_106_106, all_0_107_107, all_0_108_108, all_0_109_109, all_0_110_110, all_0_111_111, all_0_112_112, all_0_113_113, all_0_114_114, all_0_115_115, all_0_116_116, all_0_117_117, all_0_118_118, all_0_119_119, all_0_120_120, all_0_121_121, all_0_122_122, all_0_123_123, all_0_124_124, all_0_125_125, all_0_126_126 yields:
% 10.15/2.93 | (1) ~ (all_0_107_107 = all_0_108_108) & ~ (all_0_107_107 = all_0_109_109) & ~ (all_0_107_107 = all_0_110_110) & ~ (all_0_107_107 = all_0_111_111) & ~ (all_0_107_107 = all_0_113_113) & ~ (all_0_107_107 = e21) & ~ (all_0_108_108 = all_0_109_109) & ~ (all_0_108_108 = all_0_110_110) & ~ (all_0_108_108 = all_0_112_112) & ~ (all_0_108_108 = all_0_114_114) & ~ (all_0_108_108 = e20) & ~ (all_0_109_109 = all_0_110_110) & ~ (all_0_109_109 = all_0_115_115) & ~ (all_0_109_109 = e23) & ~ (all_0_109_109 = e20) & ~ (all_0_110_110 = all_0_116_116) & ~ (all_0_110_110 = e22) & ~ (all_0_110_110 = e21) & ~ (all_0_111_111 = all_0_112_112) & ~ (all_0_111_111 = all_0_113_113) & ~ (all_0_111_111 = e21) & ~ (all_0_111_111 = e20) & ~ (all_0_112_112 = all_0_114_114) & ~ (all_0_112_112 = e21) & ~ (all_0_112_112 = e20) & ~ (all_0_113_113 = all_0_114_114) & ~ (all_0_113_113 = all_0_115_115) & ~ (all_0_113_113 = all_0_116_116) & ~ (all_0_113_113 = e21) & ~ (all_0_114_114 = all_0_115_115) & ~ (all_0_114_114 = all_0_116_116) & ~ (all_0_114_114 = e20) & ~ (all_0_115_115 = all_0_116_116) & ~ (all_0_115_115 = e23) & ~ (all_0_115_115 = e20) & ~ (all_0_116_116 = e22) & ~ (all_0_116_116 = e21) & ~ (all_0_117_117 = all_0_118_118) & ~ (all_0_117_117 = all_0_119_119) & ~ (all_0_117_117 = all_0_120_120) & ~ (all_0_117_117 = all_0_121_121) & ~ (all_0_117_117 = all_0_123_123) & ~ (all_0_117_117 = e11) & ~ (all_0_118_118 = all_0_119_119) & ~ (all_0_118_118 = all_0_120_120) & ~ (all_0_118_118 = all_0_122_122) & ~ (all_0_118_118 = all_0_124_124) & ~ (all_0_118_118 = e10) & ~ (all_0_119_119 = all_0_120_120) & ~ (all_0_119_119 = all_0_125_125) & ~ (all_0_119_119 = e13) & ~ (all_0_119_119 = e10) & ~ (all_0_120_120 = all_0_126_126) & ~ (all_0_120_120 = e12) & ~ (all_0_120_120 = e11) & ~ (all_0_121_121 = all_0_122_122) & ~ (all_0_121_121 = all_0_123_123) & ~ (all_0_121_121 = e11) & ~ (all_0_121_121 = e10) & ~ (all_0_122_122 = all_0_124_124) & ~ (all_0_122_122 = e11) & ~ (all_0_122_122 = e10) & ~ (all_0_123_123 = all_0_124_124) & ~ (all_0_123_123 = all_0_125_125) & ~ (all_0_123_123 = all_0_126_126) & ~ (all_0_123_123 = e11) & ~ (all_0_124_124 = all_0_125_125) & ~ (all_0_124_124 = all_0_126_126) & ~ (all_0_124_124 = e10) & ~ (all_0_125_125 = all_0_126_126) & ~ (all_0_125_125 = e13) & ~ (all_0_125_125 = e10) & ~ (all_0_126_126 = e12) & ~ (all_0_126_126 = e11) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, all_0_117_117) = all_0_97_97 & op1(e13, all_0_121_121) = all_0_101_101 & op1(e13, all_0_123_123) = all_0_103_103 & op1(e13, e13) = e11 & op1(e13, e12) = e10 & op1(e13, e11) = e13 & op1(e13, e10) = e12 & op1(e12, all_0_118_118) = all_0_98_98 & op1(e12, all_0_122_122) = all_0_102_102 & op1(e12, all_0_124_124) = all_0_104_104 & op1(e12, e13) = all_0_117_117 & op1(e12, e12) = all_0_118_118 & op1(e12, e11) = all_0_119_119 & op1(e12, e10) = all_0_120_120 & op1(e11, all_0_119_119) = all_0_99_99 & op1(e11, all_0_125_125) = all_0_105_105 & op1(e11, e13) = all_0_121_121 & op1(e11, e12) = all_0_122_122 & op1(e11, e11) = e10 & op1(e11, e10) = e11 & op1(e10, all_0_120_120) = all_0_100_100 & op1(e10, all_0_126_126) = all_0_106_106 & op1(e10, e13) = all_0_123_123 & op1(e10, e12) = all_0_124_124 & op1(e10, e11) = all_0_125_125 & op1(e10, e10) = all_0_126_126 & h1(all_0_117_117) = all_0_61_61 & h1(all_0_118_118) = all_0_63_63 & h1(all_0_119_119) = all_0_65_65 & h1(all_0_120_120) = all_0_67_67 & h1(all_0_121_121) = all_0_69_69 & h1(all_0_122_122) = all_0_71_71 & h1(all_0_123_123) = all_0_75_75 & h1(all_0_124_124) = all_0_77_77 & h1(all_0_125_125) = all_0_79_79 & h1(all_0_126_126) = all_0_81_81 & h1(e13) = e20 & h1(e12) = all_0_85_85 & h1(e11) = all_0_116_116 & h1(e10) = all_0_86_86 & h2(all_0_117_117) = all_0_38_38 & h2(all_0_118_118) = all_0_40_40 & h2(all_0_119_119) = all_0_42_42 & h2(all_0_120_120) = all_0_44_44 & h2(all_0_121_121) = all_0_45_45 & h2(all_0_122_122) = all_0_47_47 & h2(all_0_123_123) = all_0_50_50 & h2(all_0_124_124) = all_0_52_52 & h2(all_0_125_125) = all_0_54_54 & h2(all_0_126_126) = all_0_56_56 & h2(e13) = e21 & h2(e12) = all_0_84_84 & h2(e11) = e20 & h2(e10) = all_0_116_116 & h3(all_0_117_117) = all_0_14_14 & h3(all_0_118_118) = all_0_16_16 & h3(all_0_119_119) = all_0_18_18 & h3(all_0_120_120) = all_0_20_20 & h3(all_0_121_121) = all_0_22_22 & h3(all_0_122_122) = all_0_24_24 & h3(all_0_123_123) = all_0_28_28 & h3(all_0_124_124) = all_0_30_30 & h3(all_0_125_125) = all_0_32_32 & h3(all_0_126_126) = all_0_34_34 & h3(e13) = e22 & h3(e12) = all_0_82_82 & h3(e11) = all_0_108_108 & h3(e10) = all_0_83_83 & h4(all_0_117_117) = all_0_0_0 & h4(all_0_118_118) = all_0_1_1 & h4(all_0_119_119) = all_0_2_2 & h4(all_0_120_120) = all_0_3_3 & h4(all_0_121_121) = all_0_4_4 & h4(all_0_122_122) = all_0_5_5 & h4(all_0_123_123) = all_0_6_6 & h4(all_0_124_124) = all_0_7_7 & h4(all_0_125_125) = all_0_8_8 & h4(all_0_126_126) = all_0_9_9 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(all_0_82_82, all_0_82_82) = all_0_15_15 & op2(all_0_82_82, all_0_83_83) = all_0_19_19 & op2(all_0_82_82, all_0_108_108) = all_0_17_17 & op2(all_0_82_82, e22) = all_0_13_13 & op2(all_0_83_83, all_0_82_82) = all_0_29_29 & op2(all_0_83_83, all_0_83_83) = all_0_33_33 & op2(all_0_83_83, all_0_108_108) = all_0_31_31 & op2(all_0_83_83, e22) = all_0_27_27 & op2(all_0_84_84, all_0_84_84) = all_0_39_39 & op2(all_0_84_84, all_0_116_116) = all_0_43_43 & op2(all_0_84_84, e21) = all_0_37_37 & op2(all_0_84_84, e20) = all_0_41_41 & op2(all_0_85_85, all_0_85_85) = all_0_62_62 & op2(all_0_85_85, all_0_86_86) = all_0_66_66 & op2(all_0_85_85, all_0_116_116) = all_0_64_64 & op2(all_0_85_85, e20) = all_0_60_60 & op2(all_0_86_86, all_0_85_85) = all_0_76_76 & op2(all_0_86_86, all_0_86_86) = all_0_80_80 & op2(all_0_86_86, all_0_116_116) = all_0_78_78 & op2(all_0_86_86, e20) = all_0_74_74 & op2(all_0_108_108, all_0_82_82) = all_0_23_23 & op2(all_0_108_108, all_0_83_83) = all_0_26_26 & op2(all_0_108_108, all_0_108_108) = all_0_25_25 & op2(all_0_108_108, all_0_108_108) = all_0_83_83 & op2(all_0_108_108, e22) = all_0_21_21 & op2(all_0_116_116, all_0_84_84) = all_0_51_51 & op2(all_0_116_116, all_0_85_85) = all_0_70_70 & op2(all_0_116_116, all_0_86_86) = all_0_73_73 & op2(all_0_116_116, all_0_116_116) = all_0_55_55 & op2(all_0_116_116, all_0_116_116) = all_0_72_72 & op2(all_0_116_116, all_0_116_116) = all_0_86_86 & op2(all_0_116_116, e21) = all_0_49_49 & op2(all_0_116_116, e20) = all_0_53_53 & op2(all_0_116_116, e20) = all_0_68_68 & op2(e23, all_0_107_107) = all_0_87_87 & op2(e23, all_0_111_111) = all_0_91_91 & op2(e23, all_0_113_113) = all_0_93_93 & op2(e23, e23) = e21 & op2(e23, e22) = e20 & op2(e23, e21) = e23 & op2(e23, e20) = e22 & op2(e22, all_0_82_82) = all_0_10_10 & op2(e22, all_0_83_83) = all_0_12_12 & op2(e22, all_0_83_83) = all_0_82_82 & op2(e22, all_0_108_108) = all_0_11_11 & op2(e22, all_0_108_108) = all_0_88_88 & op2(e22, all_0_112_112) = all_0_92_92 & op2(e22, all_0_114_114) = all_0_94_94 & op2(e22, e23) = all_0_107_107 & op2(e22, e22) = all_0_108_108 & op2(e22, e21) = all_0_109_109 & op2(e22, e20) = all_0_110_110 & op2(e21, all_0_84_84) = all_0_35_35 & op2(e21, all_0_109_109) = all_0_89_89 & op2(e21, all_0_115_115) = all_0_95_95 & op2(e21, all_0_116_116) = all_0_36_36 & op2(e21, all_0_116_116) = all_0_84_84 & op2(e21, e23) = all_0_111_111 & op2(e21, e22) = all_0_112_112 & op2(e21, e21) = e20 & op2(e21, e20) = e21 & op2(e20, all_0_84_84) = all_0_46_46 & op2(e20, all_0_85_85) = all_0_57_57 & op2(e20, all_0_86_86) = all_0_59_59 & op2(e20, all_0_86_86) = all_0_85_85 & op2(e20, all_0_110_110) = all_0_90_90 & op2(e20, all_0_116_116) = all_0_48_48 & op2(e20, all_0_116_116) = all_0_58_58 & op2(e20, all_0_116_116) = all_0_96_96 & op2(e20, e23) = all_0_113_113 & op2(e20, e22) = all_0_114_114 & op2(e20, e21) = all_0_115_115 & op2(e20, e20) = all_0_116_116 & ! [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_107_107) | ~ (all_0_1_1 = all_0_108_108) | ~ (all_0_2_2 = all_0_109_109) | ~ (all_0_3_3 = all_0_110_110) | ~ (all_0_4_4 = all_0_111_111) | ~ (all_0_5_5 = all_0_112_112) | ~ (all_0_6_6 = all_0_113_113) | ~ (all_0_7_7 = all_0_114_114) | ~ (all_0_8_8 = all_0_115_115) | ~ (all_0_9_9 = all_0_116_116)) & ( ~ (all_0_10_10 = all_0_83_83) | ~ (all_0_11_11 = e22) | ~ (all_0_12_12 = all_0_82_82) | ~ (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_83_83) | ~ (all_0_26_26 = all_0_108_108) | ~ (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_82_82 = e23) & ~ (all_0_83_83 = e23) & ~ (all_0_108_108 = e23)) | ( ~ (all_0_82_82 = e21) & ~ (all_0_83_83 = e21) & ~ (all_0_108_108 = e21)) | ( ~ (all_0_82_82 = e20) & ~ (all_0_83_83 = e20))) & ( ~ (all_0_35_35 = e23) | ~ (all_0_36_36 = e22) | ~ (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_115_115) | ~ (all_0_46_46 = all_0_47_47) | ~ (all_0_48_48 = e20) | ~ (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_84_84 = e22) | ~ (all_0_116_116 = e23)) & ( ~ (all_0_57_57 = all_0_86_86) | ~ (all_0_58_58 = e20) | ~ (all_0_59_59 = all_0_85_85) | ~ (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_86_86) | ~ (all_0_73_73 = all_0_116_116) | ~ (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_85_85 = e23) & ~ (all_0_86_86 = e23) & ~ (all_0_116_116 = e23)) | ( ~ (all_0_85_85 = e22) & ~ (all_0_86_86 = e22)) | ( ~ (all_0_85_85 = e21) & ~ (all_0_86_86 = e21))) & ( ~ (all_0_108_108 = e23) | all_0_107_107 = e22) & ( ~ (all_0_108_108 = e21) | all_0_109_109 = e22) & ( ~ (all_0_116_116 = e23) | all_0_113_113 = e20) & ( ~ (all_0_118_118 = e13) | all_0_117_117 = e12) & ( ~ (all_0_118_118 = e11) | all_0_119_119 = e12) & ( ~ (all_0_126_126 = e13) | all_0_123_123 = e10) & (all_0_107_107 = e23 | all_0_107_107 = e22 | all_0_107_107 = e20) & (all_0_107_107 = e23 | all_0_108_108 = e23 | all_0_110_110 = e23) & (all_0_107_107 = e23 | all_0_111_111 = e23 | all_0_113_113 = e23) & (all_0_107_107 = e22 | all_0_108_108 = e22 | all_0_109_109 = e22) & (all_0_107_107 = e22 | all_0_111_111 = e22 | all_0_113_113 = e22) & (all_0_107_107 = e20 | all_0_110_110 = e20) & (all_0_107_107 = e20 | all_0_113_113 = e20) & (all_0_108_108 = e23 | all_0_108_108 = e22 | all_0_108_108 = e21) & (all_0_108_108 = e23 | all_0_112_112 = e23 | all_0_114_114 = e23) & (all_0_108_108 = e22 | all_0_112_112 = e22 | all_0_114_114 = e22) & (all_0_108_108 = e22 | all_0_116_116 = e20) & (all_0_108_108 = e21 | all_0_109_109 = e21) & (all_0_108_108 = e21 | all_0_114_114 = e21) & (all_0_109_109 = e22 | all_0_109_109 = e21) & (all_0_109_109 = e22 | all_0_115_115 = e22) & (all_0_109_109 = e21 | all_0_115_115 = e21) & (all_0_110_110 = e23 | all_0_110_110 = e20) & (all_0_110_110 = e23 | all_0_116_116 = e23) & (all_0_110_110 = e20 | all_0_116_116 = e20) & (all_0_111_111 = e23 | all_0_111_111 = e22) & (all_0_111_111 = e23 | all_0_112_112 = e23) & (all_0_111_111 = e22 | all_0_112_112 = e22) & (all_0_112_112 = e23 | all_0_112_112 = e22) & (all_0_113_113 = e23 | all_0_113_113 = e22 | all_0_113_113 = e20) & (all_0_113_113 = e23 | all_0_114_114 = e23 | all_0_116_116 = e23) & (all_0_113_113 = e22 | all_0_114_114 = e22 | all_0_115_115 = e22) & (all_0_113_113 = e20 | all_0_116_116 = e20) & (all_0_114_114 = e23 | all_0_114_114 = e22 | all_0_114_114 = e21) & (all_0_114_114 = e21 | all_0_115_115 = e21) & (all_0_115_115 = e22 | all_0_115_115 = e21) & (all_0_116_116 = e23 | all_0_116_116 = e20) & (all_0_117_117 = e13 | all_0_117_117 = e12 | all_0_117_117 = e10) & (all_0_117_117 = e13 | all_0_118_118 = e13 | all_0_120_120 = e13) & (all_0_117_117 = e13 | all_0_121_121 = e13 | all_0_123_123 = e13) & (all_0_117_117 = e12 | all_0_118_118 = e12 | all_0_119_119 = e12) & (all_0_117_117 = e12 | all_0_121_121 = e12 | all_0_123_123 = e12) & (all_0_117_117 = e10 | all_0_120_120 = e10) & (all_0_117_117 = e10 | all_0_123_123 = e10) & (all_0_118_118 = e13 | all_0_118_118 = e12 | all_0_118_118 = e11) & (all_0_118_118 = e13 | all_0_122_122 = e13 | all_0_124_124 = e13) & (all_0_118_118 = e12 | all_0_122_122 = e12 | all_0_124_124 = e12) & (all_0_118_118 = e12 | all_0_126_126 = e10) & (all_0_118_118 = e11 | all_0_119_119 = e11) & (all_0_118_118 = e11 | all_0_124_124 = e11) & (all_0_119_119 = e12 | all_0_119_119 = e11) & (all_0_119_119 = e12 | all_0_125_125 = e12) & (all_0_119_119 = e11 | all_0_125_125 = e11) & (all_0_120_120 = e13 | all_0_120_120 = e10) & (all_0_120_120 = e13 | all_0_126_126 = e13) & (all_0_120_120 = e10 | all_0_126_126 = e10) & (all_0_121_121 = e13 | all_0_121_121 = e12) & (all_0_121_121 = e13 | all_0_122_122 = e13) & (all_0_121_121 = e12 | all_0_122_122 = e12) & (all_0_122_122 = e13 | all_0_122_122 = e12) & (all_0_123_123 = e13 | all_0_123_123 = e12 | all_0_123_123 = e10) & (all_0_123_123 = e13 | all_0_124_124 = e13 | all_0_126_126 = e13) & (all_0_123_123 = e12 | all_0_124_124 = e12 | all_0_125_125 = e12) & (all_0_123_123 = e10 | all_0_126_126 = e10) & (all_0_124_124 = e13 | all_0_124_124 = e12 | all_0_124_124 = e11) & (all_0_124_124 = e11 | all_0_125_125 = e11) & (all_0_125_125 = e12 | all_0_125_125 = e11) & (all_0_126_126 = e13 | all_0_126_126 = e10) & (( ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)) | ( ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21)) | ( ~ (all_0_93_93 = all_0_113_113) & ~ (all_0_94_94 = all_0_114_114) & ~ (all_0_95_95 = all_0_115_115) & ~ (all_0_96_96 = all_0_116_116)) | ( ~ (all_0_110_110 = e20) & ~ (all_0_111_111 = e23) & ~ (all_0_114_114 = e22))) & (( ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)) | ( ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11)) | ( ~ (all_0_103_103 = all_0_123_123) & ~ (all_0_104_104 = all_0_124_124) & ~ (all_0_105_105 = all_0_125_125) & ~ (all_0_106_106 = all_0_126_126)) | ( ~ (all_0_120_120 = e10) & ~ (all_0_121_121 = e13) & ~ (all_0_124_124 = e12)))
% 10.15/2.94 |
% 10.15/2.94 | Applying alpha-rule on (1) yields:
% 10.15/2.94 | (2) ~ (all_0_125_125 = e13)
% 10.15/2.94 | (3) ~ (all_0_117_117 = all_0_120_120)
% 10.15/2.94 | (4) op2(e22, e22) = all_0_108_108
% 10.15/2.94 | (5) op1(e12, e11) = all_0_119_119
% 10.15/2.94 | (6) ~ (all_0_111_111 = e21)
% 10.15/2.94 | (7) all_0_121_121 = e13 | all_0_122_122 = e13
% 10.15/2.94 | (8) ~ (all_0_115_115 = all_0_116_116)
% 10.15/2.94 | (9) ~ (all_0_120_120 = e11)
% 10.15/2.94 | (10) all_0_117_117 = e10 | all_0_123_123 = e10
% 10.15/2.94 | (11) op1(e13, all_0_117_117) = all_0_97_97
% 10.15/2.94 | (12) op2(e21, all_0_84_84) = all_0_35_35
% 10.15/2.94 | (13) h1(all_0_123_123) = all_0_75_75
% 10.15/2.94 | (14) h4(e12) = e22
% 10.15/2.94 | (15) op2(e21, e23) = all_0_111_111
% 10.15/2.94 | (16) ~ (all_0_123_123 = all_0_126_126)
% 10.15/2.94 | (17) op1(e12, all_0_124_124) = all_0_104_104
% 10.15/2.94 | (18) op2(all_0_83_83, all_0_108_108) = all_0_31_31
% 10.15/2.94 | (19) op1(e11, all_0_119_119) = all_0_99_99
% 10.15/2.94 | (20) all_0_107_107 = e23 | all_0_108_108 = e23 | all_0_110_110 = e23
% 10.15/2.94 | (21) all_0_118_118 = e11 | all_0_124_124 = e11
% 10.15/2.94 | (22) all_0_108_108 = e22 | all_0_112_112 = e22 | all_0_114_114 = e22
% 10.15/2.94 | (23) ~ (e23 = e22)
% 10.15/2.94 | (24) ~ (e21 = e10)
% 10.15/2.94 | (25) h4(all_0_118_118) = all_0_1_1
% 10.15/2.94 | (26) ~ (all_0_118_118 = all_0_124_124)
% 10.15/2.94 | (27) op2(e20, all_0_116_116) = all_0_58_58
% 10.15/2.94 | (28) op2(e22, all_0_83_83) = all_0_82_82
% 10.15/2.94 | (29) h1(all_0_121_121) = all_0_69_69
% 10.15/2.94 | (30) ~ (all_0_108_108 = all_0_109_109)
% 10.15/2.94 | (31) op2(all_0_116_116, e20) = all_0_53_53
% 10.15/2.94 | (32) op2(e22, e23) = all_0_107_107
% 10.15/2.94 | (33) ~ (all_0_111_111 = all_0_112_112)
% 10.15/2.94 | (34) op2(all_0_82_82, all_0_82_82) = all_0_15_15
% 10.15/2.94 | (35) ~ (e22 = e11)
% 10.15/2.94 | (36) op2(all_0_116_116, all_0_116_116) = all_0_55_55
% 10.15/2.94 | (37) h3(all_0_122_122) = all_0_24_24
% 10.15/2.94 | (38) ~ (all_0_107_107 = all_0_113_113)
% 10.15/2.94 | (39) ~ (all_0_121_121 = all_0_122_122)
% 10.15/2.94 | (40) ~ (all_0_109_109 = e20)
% 10.15/2.94 | (41) h2(e11) = e20
% 10.15/2.94 | (42) ~ (all_0_107_107 = all_0_108_108)
% 10.15/2.94 | (43) all_0_120_120 = e13 | all_0_120_120 = e10
% 10.15/2.94 | (44) h1(all_0_126_126) = all_0_81_81
% 10.15/2.94 | (45) op2(e21, all_0_116_116) = all_0_36_36
% 10.15/2.94 | (46) ~ (all_0_119_119 = e10)
% 10.15/2.94 | (47) ~ (all_0_117_117 = all_0_121_121)
% 10.15/2.94 | (48) op2(all_0_116_116, all_0_85_85) = all_0_70_70
% 10.15/2.95 | (49) op2(e21, all_0_109_109) = all_0_89_89
% 10.15/2.95 | (50) op1(e13, e13) = e11
% 10.15/2.95 | (51) ~ (all_0_118_118 = e10)
% 10.15/2.95 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 10.15/2.95 | (53) ~ (all_0_110_110 = e22)
% 10.15/2.95 | (54) h4(all_0_123_123) = all_0_6_6
% 10.15/2.95 | (55) ~ (all_0_121_121 = e10)
% 10.15/2.95 | (56) op2(all_0_85_85, e20) = all_0_60_60
% 10.15/2.95 | (57) op2(e20, e23) = all_0_113_113
% 10.15/2.95 | (58) op2(e20, all_0_85_85) = all_0_57_57
% 10.15/2.95 | (59) ~ (all_0_111_111 = all_0_113_113)
% 10.15/2.95 | (60) h1(all_0_122_122) = all_0_71_71
% 10.15/2.95 | (61) ~ (all_0_123_123 = e11)
% 10.15/2.95 | (62) all_0_113_113 = e23 | all_0_114_114 = e23 | all_0_116_116 = e23
% 10.15/2.95 | (63) ~ (all_0_110_110 = all_0_116_116)
% 10.15/2.95 | (64) op1(e13, e12) = e10
% 10.15/2.95 | (65) ~ (all_0_107_107 = all_0_109_109)
% 10.15/2.95 | (66) all_0_118_118 = e12 | all_0_126_126 = e10
% 10.15/2.95 | (67) ~ (all_0_108_108 = all_0_114_114)
% 10.15/2.95 | (68) op2(e20, all_0_110_110) = all_0_90_90
% 10.15/2.95 | (69) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 10.15/2.95 | (70) h2(all_0_126_126) = all_0_56_56
% 10.15/2.95 | (71) op2(e22, e21) = all_0_109_109
% 10.15/2.95 | (72) op2(e20, e20) = all_0_116_116
% 10.15/2.95 | (73) all_0_124_124 = e13 | all_0_124_124 = e12 | all_0_124_124 = e11
% 10.15/2.95 | (74) h3(all_0_123_123) = all_0_28_28
% 10.15/2.95 | (75) op1(e12, all_0_118_118) = all_0_98_98
% 10.15/2.95 | (76) ~ (all_0_111_111 = e20)
% 10.15/2.95 | (77) ~ (all_0_113_113 = all_0_115_115)
% 10.15/2.95 | (78) op2(all_0_84_84, e21) = all_0_37_37
% 10.15/2.95 | (79) op1(e10, e12) = all_0_124_124
% 10.15/2.95 | (80) all_0_109_109 = e22 | all_0_115_115 = e22
% 10.15/2.95 | (81) all_0_123_123 = e10 | all_0_126_126 = e10
% 10.15/2.95 | (82) h4(all_0_121_121) = all_0_4_4
% 10.15/2.95 | (83) h1(e12) = all_0_85_85
% 10.15/2.95 | (84) ~ (all_0_108_108 = e23) | all_0_107_107 = e22
% 10.15/2.95 | (85) h3(e13) = e22
% 10.15/2.95 | (86) all_0_126_126 = e13 | all_0_126_126 = e10
% 10.15/2.95 | (87) all_0_110_110 = e23 | all_0_116_116 = e23
% 10.15/2.95 | (88) ~ (e23 = e13)
% 10.15/2.95 | (89) h4(all_0_125_125) = all_0_8_8
% 10.15/2.95 | (90) ~ (all_0_125_125 = e10)
% 10.15/2.95 | (91) op2(all_0_116_116, e21) = all_0_49_49
% 10.15/2.95 | (92) op2(all_0_116_116, e20) = all_0_68_68
% 10.15/2.95 | (93) op2(e23, all_0_113_113) = all_0_93_93
% 10.15/2.95 | (94) all_0_114_114 = e21 | all_0_115_115 = e21
% 10.15/2.95 | (95) ~ (all_0_121_121 = all_0_123_123)
% 10.15/2.95 | (96) ~ (all_0_118_118 = all_0_119_119)
% 10.15/2.95 | (97) op2(e23, all_0_111_111) = all_0_91_91
% 10.15/2.95 | (98) ~ (e22 = e20)
% 10.15/2.95 | (99) h3(all_0_118_118) = all_0_16_16
% 10.15/2.95 | (100) op2(e22, all_0_83_83) = all_0_12_12
% 10.15/2.95 | (101) all_0_107_107 = e22 | all_0_111_111 = e22 | all_0_113_113 = e22
% 10.15/2.95 | (102) all_0_119_119 = e11 | all_0_125_125 = e11
% 10.15/2.95 | (103) all_0_125_125 = e12 | all_0_125_125 = e11
% 10.15/2.95 | (104) op2(all_0_108_108, all_0_82_82) = all_0_23_23
% 10.15/2.95 | (105) ~ (all_0_115_115 = e23)
% 10.15/2.95 | (106) op1(e12, e10) = all_0_120_120
% 10.15/2.95 | (107) all_0_118_118 = e12 | all_0_122_122 = e12 | all_0_124_124 = e12
% 10.15/2.95 | (108) all_0_109_109 = e21 | all_0_115_115 = e21
% 10.15/2.95 | (109) all_0_120_120 = e10 | all_0_126_126 = e10
% 10.15/2.95 | (110) op2(e22, all_0_112_112) = all_0_92_92
% 10.15/2.95 | (111) h4(all_0_124_124) = all_0_7_7
% 10.15/2.95 | (112) h3(all_0_126_126) = all_0_34_34
% 10.15/2.95 | (113) all_0_117_117 = e10 | all_0_120_120 = e10
% 10.15/2.95 | (114) h4(e11) = e21
% 10.15/2.95 | (115) op2(e20, all_0_84_84) = all_0_46_46
% 10.15/2.95 | (116) h1(all_0_120_120) = all_0_67_67
% 10.15/2.95 | (117) all_0_107_107 = e23 | all_0_111_111 = e23 | all_0_113_113 = e23
% 10.15/2.95 | (118) all_0_113_113 = e23 | all_0_113_113 = e22 | all_0_113_113 = e20
% 10.15/2.95 | (119) ~ (all_0_113_113 = all_0_114_114)
% 10.15/2.95 | (120) h4(all_0_122_122) = all_0_5_5
% 10.15/2.95 | (121) ~ (all_0_126_126 = e13) | all_0_123_123 = e10
% 10.15/2.95 | (122) op2(e22, e20) = all_0_110_110
% 10.15/2.95 | (123) op1(e10, e11) = all_0_125_125
% 10.15/2.95 | (124) op2(e20, all_0_116_116) = all_0_48_48
% 10.15/2.95 | (125) all_0_114_114 = e23 | all_0_114_114 = e22 | all_0_114_114 = e21
% 10.15/2.95 | (126) ~ (all_0_113_113 = all_0_116_116)
% 10.15/2.95 | (127) ~ (all_0_119_119 = all_0_120_120)
% 10.15/2.95 | (128) op2(e20, all_0_116_116) = all_0_96_96
% 10.15/2.95 | (129) ~ (all_0_109_109 = all_0_115_115)
% 10.15/2.95 | (130) h2(e13) = e21
% 10.15/2.95 | (131) ~ (all_0_107_107 = all_0_110_110)
% 10.15/2.95 | (132) ~ (e21 = e11)
% 10.15/2.95 | (133) ~ (all_0_122_122 = e10)
% 10.15/2.95 | (134) ~ (e12 = e10)
% 10.15/2.95 | (135) all_0_118_118 = e13 | all_0_118_118 = e12 | all_0_118_118 = e11
% 10.15/2.95 | (136) ~ (e20 = e10)
% 10.15/2.95 | (137) ~ (all_0_120_120 = e12)
% 10.15/2.95 | (138) h1(e11) = all_0_116_116
% 10.15/2.95 | (139) h1(all_0_124_124) = all_0_77_77
% 10.15/2.95 | (140) op2(all_0_82_82, all_0_108_108) = all_0_17_17
% 10.15/2.95 | (141) ~ (all_0_126_126 = e11)
% 10.15/2.96 | (142) ~ (all_0_120_120 = all_0_126_126)
% 10.15/2.96 | (143) all_0_107_107 = e23 | all_0_107_107 = e22 | all_0_107_107 = e20
% 10.15/2.96 | (144) all_0_110_110 = e23 | all_0_110_110 = e20
% 10.15/2.96 | (145) op1(e10, all_0_120_120) = all_0_100_100
% 10.15/2.96 | (146) ~ (all_0_35_35 = e23) | ~ (all_0_36_36 = e22) | ~ (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_115_115) | ~ (all_0_46_46 = all_0_47_47) | ~ (all_0_48_48 = e20) | ~ (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_84_84 = e22) | ~ (all_0_116_116 = e23)
% 10.15/2.96 | (147) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 10.15/2.96 | (148) all_0_118_118 = e11 | all_0_119_119 = e11
% 10.15/2.96 | (149) ~ (all_0_118_118 = all_0_122_122)
% 10.15/2.96 | (150) h3(all_0_119_119) = all_0_18_18
% 10.15/2.96 | (151) op2(all_0_116_116, all_0_86_86) = all_0_73_73
% 10.15/2.96 | (152) ~ (all_0_108_108 = all_0_110_110)
% 10.15/2.96 | (153) all_0_107_107 = e22 | all_0_108_108 = e22 | all_0_109_109 = e22
% 10.15/2.96 | (154) ~ (all_0_112_112 = e21)
% 10.15/2.96 | (155) op2(e22, all_0_82_82) = all_0_10_10
% 10.15/2.96 | (156) op1(e13, all_0_123_123) = all_0_103_103
% 10.15/2.96 | (157) h2(all_0_120_120) = all_0_44_44
% 10.15/2.96 | (158) ~ (all_0_115_115 = e20)
% 10.15/2.96 | (159) h2(all_0_121_121) = all_0_45_45
% 10.15/2.96 | (160) op2(e23, e21) = e23
% 10.15/2.96 | (161) op2(e23, all_0_107_107) = all_0_87_87
% 10.15/2.96 | (162) ~ (all_0_108_108 = e21) | all_0_109_109 = e22
% 10.15/2.96 | (163) op2(e21, e20) = e21
% 10.15/2.96 | (164) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 10.15/2.96 | (165) op2(all_0_108_108, all_0_108_108) = all_0_25_25
% 10.15/2.96 | (166) all_0_108_108 = e23 | all_0_108_108 = e22 | all_0_108_108 = e21
% 10.15/2.96 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 10.15/2.96 | (168) ~ (e13 = e10)
% 10.15/2.96 | (169) op2(e23, e22) = e20
% 10.15/2.96 | (170) ~ (all_0_10_10 = all_0_83_83) | ~ (all_0_11_11 = e22) | ~ (all_0_12_12 = all_0_82_82) | ~ (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_83_83) | ~ (all_0_26_26 = all_0_108_108) | ~ (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_82_82 = e23) & ~ (all_0_83_83 = e23) & ~ (all_0_108_108 = e23)) | ( ~ (all_0_82_82 = e21) & ~ (all_0_83_83 = e21) & ~ (all_0_108_108 = e21)) | ( ~ (all_0_82_82 = e20) & ~ (all_0_83_83 = e20))
% 10.44/2.96 | (171) all_0_117_117 = e13 | all_0_118_118 = e13 | all_0_120_120 = e13
% 10.44/2.96 | (172) op1(e13, e11) = e13
% 10.44/2.96 | (173) ~ (all_0_118_118 = e13) | all_0_117_117 = e12
% 10.44/2.96 | (174) op1(e11, e13) = all_0_121_121
% 10.44/2.96 | (175) op1(e11, e12) = all_0_122_122
% 10.44/2.96 | (176) h1(all_0_119_119) = all_0_65_65
% 10.44/2.96 | (177) all_0_108_108 = e22 | all_0_116_116 = e20
% 10.44/2.96 | (178) all_0_113_113 = e22 | all_0_114_114 = e22 | all_0_115_115 = e22
% 10.44/2.96 | (179) ~ (all_0_118_118 = all_0_120_120)
% 10.44/2.96 | (180) op1(e11, e10) = e11
% 10.44/2.96 | (181) ~ (e20 = e13)
% 10.44/2.96 | (182) ~ (all_0_116_116 = e21)
% 10.44/2.96 | (183) op1(e11, all_0_125_125) = all_0_105_105
% 10.44/2.96 | (184) op2(e20, e21) = all_0_115_115
% 10.44/2.96 | (185) op2(e21, e21) = e20
% 10.44/2.96 | (186) ~ (e20 = e11)
% 10.44/2.96 | (187) h1(all_0_118_118) = all_0_63_63
% 10.44/2.96 | (188) op2(all_0_108_108, all_0_83_83) = all_0_26_26
% 10.44/2.96 | (189) all_0_118_118 = e13 | all_0_122_122 = e13 | all_0_124_124 = e13
% 10.44/2.96 | (190) h3(all_0_117_117) = all_0_14_14
% 10.44/2.96 | (191) all_0_120_120 = e13 | all_0_126_126 = e13
% 10.44/2.96 | (192) h3(all_0_124_124) = all_0_30_30
% 10.44/2.96 | (193) h3(e11) = all_0_108_108
% 10.44/2.96 | (194) op2(all_0_86_86, e20) = all_0_74_74
% 10.44/2.96 | (195) op2(all_0_83_83, all_0_83_83) = all_0_33_33
% 10.44/2.96 | (196) ~ (e23 = e10)
% 10.44/2.96 | (197) h1(all_0_117_117) = all_0_61_61
% 10.44/2.96 | (198) ~ (all_0_119_119 = all_0_125_125)
% 10.44/2.96 | (199) all_0_115_115 = e22 | all_0_115_115 = e21
% 10.44/2.96 | (200) ( ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)) | ( ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21)) | ( ~ (all_0_93_93 = all_0_113_113) & ~ (all_0_94_94 = all_0_114_114) & ~ (all_0_95_95 = all_0_115_115) & ~ (all_0_96_96 = all_0_116_116)) | ( ~ (all_0_110_110 = e20) & ~ (all_0_111_111 = e23) & ~ (all_0_114_114 = e22))
% 10.44/2.96 | (201) all_0_121_121 = e12 | all_0_122_122 = e12
% 10.44/2.96 | (202) all_0_123_123 = e13 | all_0_123_123 = e12 | all_0_123_123 = e10
% 10.44/2.96 | (203) ~ (all_0_116_116 = e23) | all_0_113_113 = e20
% 10.44/2.96 | (204) ~ (all_0_114_114 = all_0_116_116)
% 10.44/2.96 | (205) h1(e13) = e20
% 10.44/2.96 | (206) h4(all_0_117_117) = all_0_0_0
% 10.44/2.96 | (207) h4(all_0_119_119) = all_0_2_2
% 10.44/2.96 | (208) h3(e10) = all_0_83_83
% 10.44/2.96 | (209) ~ (all_0_123_123 = all_0_125_125)
% 10.44/2.96 | (210) all_0_108_108 = e21 | all_0_109_109 = e21
% 10.44/2.96 | (211) ~ (all_0_57_57 = all_0_86_86) | ~ (all_0_58_58 = e20) | ~ (all_0_59_59 = all_0_85_85) | ~ (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_86_86) | ~ (all_0_73_73 = all_0_116_116) | ~ (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_85_85 = e23) & ~ (all_0_86_86 = e23) & ~ (all_0_116_116 = e23)) | ( ~ (all_0_85_85 = e22) & ~ (all_0_86_86 = e22)) | ( ~ (all_0_85_85 = e21) & ~ (all_0_86_86 = e21))
% 10.44/2.96 | (212) h1(all_0_125_125) = all_0_79_79
% 10.44/2.96 | (213) op2(all_0_84_84, e20) = all_0_41_41
% 10.44/2.96 | (214) op2(all_0_82_82, e22) = all_0_13_13
% 10.44/2.96 | (215) ~ (all_0_123_123 = all_0_124_124)
% 10.44/2.96 | (216) h2(all_0_117_117) = all_0_38_38
% 10.44/2.96 | (217) h2(all_0_124_124) = all_0_52_52
% 10.44/2.96 | (218) ~ (all_0_121_121 = e11)
% 10.44/2.96 | (219) ~ (e22 = e21)
% 10.44/2.96 | (220) ~ (all_0_124_124 = all_0_126_126)
% 10.44/2.96 | (221) op2(all_0_85_85, all_0_86_86) = all_0_66_66
% 10.44/2.97 | (222) ~ (all_0_108_108 = all_0_112_112)
% 10.44/2.97 | (223) h2(e12) = all_0_84_84
% 10.44/2.97 | (224) ~ (all_0_117_117 = all_0_119_119)
% 10.44/2.97 | (225) ~ (all_0_119_119 = e13)
% 10.44/2.97 | (226) op1(e13, all_0_121_121) = all_0_101_101
% 10.44/2.97 | (227) all_0_119_119 = e12 | all_0_125_125 = e12
% 10.44/2.97 | (228) ~ (all_0_114_114 = e20)
% 10.44/2.97 | (229) op2(all_0_116_116, all_0_116_116) = all_0_72_72
% 10.44/2.97 | (230) ~ (e23 = e12)
% 10.44/2.97 | (231) all_0_113_113 = e20 | all_0_116_116 = e20
% 10.44/2.97 | (232) all_0_107_107 = e20 | all_0_113_113 = e20
% 10.44/2.97 | (233) op1(e11, e11) = e10
% 10.44/2.97 | (234) all_0_109_109 = e22 | all_0_109_109 = e21
% 10.44/2.97 | (235) all_0_124_124 = e11 | all_0_125_125 = e11
% 10.44/2.97 | (236) ~ (all_0_116_116 = e22)
% 10.44/2.97 | (237) ~ (e20 = e12)
% 10.44/2.97 | (238) ~ (all_0_117_117 = e11)
% 10.44/2.97 | (239) ~ (e23 = e20)
% 10.44/2.97 | (240) all_0_117_117 = e12 | all_0_121_121 = e12 | all_0_123_123 = e12
% 10.44/2.97 | (241) op1(e12, e13) = all_0_117_117
% 10.44/2.97 | (242) all_0_122_122 = e13 | all_0_122_122 = e12
% 10.44/2.97 | (243) op1(e10, e13) = all_0_123_123
% 10.44/2.97 | (244) h4(all_0_120_120) = all_0_3_3
% 10.44/2.97 | (245) all_0_108_108 = e23 | all_0_112_112 = e23 | all_0_114_114 = e23
% 10.44/2.97 | (246) ~ (all_0_109_109 = e23)
% 10.44/2.97 | (247) all_0_121_121 = e13 | all_0_121_121 = e12
% 10.44/2.97 | (248) h4(e10) = e20
% 10.44/2.97 | (249) op2(all_0_83_83, e22) = all_0_27_27
% 10.44/2.97 | (250) ~ (all_0_117_117 = all_0_118_118)
% 10.44/2.97 | (251) ~ (e23 = e21)
% 10.44/2.97 | (252) all_0_117_117 = e13 | all_0_117_117 = e12 | all_0_117_117 = e10
% 10.44/2.97 | (253) ~ (e22 = e13)
% 10.44/2.97 | (254) op1(e10, all_0_126_126) = all_0_106_106
% 10.44/2.97 | (255) op2(all_0_83_83, all_0_82_82) = all_0_29_29
% 10.44/2.97 | (256) ~ (e22 = e12)
% 10.44/2.97 | (257) ~ (all_0_124_124 = e10)
% 10.44/2.97 | (258) h3(e12) = all_0_82_82
% 10.44/2.97 | (259) ~ (all_0_107_107 = all_0_111_111)
% 10.44/2.97 | (260) ~ (e13 = e12)
% 10.44/2.97 | (261) op2(all_0_116_116, all_0_84_84) = all_0_51_51
% 10.44/2.97 | (262) h2(e10) = all_0_116_116
% 10.44/2.97 | (263) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 10.44/2.97 | (264) h3(all_0_125_125) = all_0_32_32
% 10.44/2.97 | (265) all_0_110_110 = e20 | all_0_116_116 = e20
% 10.44/2.97 | (266) op2(e20, all_0_86_86) = all_0_59_59
% 10.44/2.97 | (267) op2(all_0_108_108, e22) = all_0_21_21
% 10.44/2.97 | (268) op2(all_0_85_85, all_0_85_85) = all_0_62_62
% 10.44/2.97 | (269) all_0_111_111 = e23 | all_0_111_111 = e22
% 10.44/2.97 | (270) all_0_117_117 = e13 | all_0_121_121 = e13 | all_0_123_123 = e13
% 10.44/2.97 | (271) ~ (e11 = e10)
% 10.44/2.97 | (272) ~ (all_0_114_114 = all_0_115_115)
% 10.44/2.97 | (273) op2(e21, all_0_115_115) = all_0_95_95
% 10.44/2.97 | (274) h2(all_0_118_118) = all_0_40_40
% 10.44/2.97 | (275) h2(all_0_122_122) = all_0_47_47
% 10.44/2.97 | (276) op2(e21, e22) = all_0_112_112
% 10.44/2.97 | (277) ~ (all_0_109_109 = all_0_110_110)
% 10.44/2.97 | (278) h3(all_0_120_120) = all_0_20_20
% 10.44/2.97 | (279) all_0_117_117 = e12 | all_0_118_118 = e12 | all_0_119_119 = e12
% 10.44/2.97 | (280) op2(all_0_84_84, all_0_116_116) = all_0_43_43
% 10.44/2.97 | (281) ~ (all_0_122_122 = e11)
% 10.44/2.97 | (282) ~ (all_0_107_107 = e21)
% 10.44/2.97 | (283) ~ (e23 = e11)
% 10.44/2.97 | (284) op2(all_0_86_86, all_0_116_116) = all_0_78_78
% 10.44/2.97 | (285) ~ (all_0_108_108 = e20)
% 10.44/2.97 | (286) ~ (all_0_113_113 = e21)
% 10.44/2.97 | (287) op2(e20, e22) = all_0_114_114
% 10.44/2.97 | (288) ~ (e12 = e11)
% 10.44/2.97 | (289) op2(all_0_82_82, all_0_83_83) = all_0_19_19
% 10.44/2.97 | (290) h2(all_0_119_119) = all_0_42_42
% 10.44/2.97 | (291) op2(e21, all_0_116_116) = all_0_84_84
% 10.44/2.97 | (292) ~ (all_0_122_122 = all_0_124_124)
% 10.44/2.97 | (293) ~ (e21 = e12)
% 10.44/2.97 | (294) ~ (all_0_117_117 = all_0_123_123)
% 10.44/2.97 | (295) op2(e22, all_0_108_108) = all_0_11_11
% 10.44/2.97 | (296) h1(e10) = all_0_86_86
% 10.44/2.97 | (297) all_0_107_107 = e20 | all_0_110_110 = e20
% 10.44/2.97 | (298) ~ (e21 = e20)
% 10.44/2.97 | (299) op1(e10, e10) = all_0_126_126
% 10.44/2.97 | (300) op2(all_0_86_86, all_0_86_86) = all_0_80_80
% 10.44/2.97 | (301) ~ (all_0_124_124 = all_0_125_125)
% 10.44/2.97 | (302) op2(e22, all_0_114_114) = all_0_94_94
% 10.44/2.97 | (303) ~ (all_0_112_112 = e20)
% 10.44/2.97 | (304) ~ (all_0_110_110 = e21)
% 10.44/2.97 | (305) all_0_123_123 = e12 | all_0_124_124 = e12 | all_0_125_125 = e12
% 10.44/2.97 | (306) op2(e23, e20) = e22
% 10.44/2.97 | (307) ~ (e21 = e13)
% 10.44/2.97 | (308) ~ (all_0_125_125 = all_0_126_126)
% 10.44/2.97 | (309) op1(e13, e10) = e12
% 10.44/2.97 | (310) op2(e22, all_0_108_108) = all_0_88_88
% 10.44/2.97 | (311) all_0_111_111 = e22 | all_0_112_112 = e22
% 10.44/2.97 | (312) op2(all_0_116_116, all_0_116_116) = all_0_86_86
% 10.44/2.97 | (313) op2(all_0_84_84, all_0_84_84) = all_0_39_39
% 10.44/2.97 | (314) ~ (e13 = e11)
% 10.44/2.97 | (315) op1(e12, e12) = all_0_118_118
% 10.44/2.97 | (316) ~ (all_0_118_118 = e11) | all_0_119_119 = e12
% 10.44/2.97 | (317) all_0_108_108 = e21 | all_0_114_114 = e21
% 10.44/2.97 | (318) all_0_123_123 = e13 | all_0_124_124 = e13 | all_0_126_126 = e13
% 10.44/2.97 | (319) h2(all_0_125_125) = all_0_54_54
% 10.44/2.97 | (320) op2(all_0_85_85, all_0_116_116) = all_0_64_64
% 10.44/2.97 | (321) h4(e13) = e23
% 10.44/2.97 | (322) op2(all_0_108_108, all_0_108_108) = all_0_83_83
% 10.44/2.97 | (323) op2(all_0_86_86, all_0_85_85) = all_0_76_76
% 10.44/2.98 | (324) op2(e20, all_0_86_86) = all_0_85_85
% 10.44/2.98 | (325) ~ (all_0_112_112 = all_0_114_114)
% 10.44/2.98 | (326) ~ (all_0_0_0 = all_0_107_107) | ~ (all_0_1_1 = all_0_108_108) | ~ (all_0_2_2 = all_0_109_109) | ~ (all_0_3_3 = all_0_110_110) | ~ (all_0_4_4 = all_0_111_111) | ~ (all_0_5_5 = all_0_112_112) | ~ (all_0_6_6 = all_0_113_113) | ~ (all_0_7_7 = all_0_114_114) | ~ (all_0_8_8 = all_0_115_115) | ~ (all_0_9_9 = all_0_116_116)
% 10.44/2.98 | (327) all_0_112_112 = e23 | all_0_112_112 = e22
% 10.44/2.98 | (328) all_0_111_111 = e23 | all_0_112_112 = e23
% 10.44/2.98 | (329) ~ (all_0_126_126 = e12)
% 10.44/2.98 | (330) all_0_116_116 = e23 | all_0_116_116 = e20
% 10.44/2.98 | (331) op1(e12, all_0_122_122) = all_0_102_102
% 10.44/2.98 | (332) h4(all_0_126_126) = all_0_9_9
% 10.44/2.98 | (333) ~ (e22 = e10)
% 10.44/2.98 | (334) h2(all_0_123_123) = all_0_50_50
% 10.44/2.98 | (335) ( ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)) | ( ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11)) | ( ~ (all_0_103_103 = all_0_123_123) & ~ (all_0_104_104 = all_0_124_124) & ~ (all_0_105_105 = all_0_125_125) & ~ (all_0_106_106 = all_0_126_126)) | ( ~ (all_0_120_120 = e10) & ~ (all_0_121_121 = e13) & ~ (all_0_124_124 = e12))
% 10.44/2.98 | (336) op2(e23, e23) = e21
% 10.44/2.98 | (337) all_0_119_119 = e12 | all_0_119_119 = e11
% 10.44/2.98 | (338) h3(all_0_121_121) = all_0_22_22
% 10.44/2.98 |
% 10.44/2.98 | Instantiating formula (167) with all_0_108_108, all_0_108_108, all_0_83_83, all_0_25_25 and discharging atoms op2(all_0_108_108, all_0_108_108) = all_0_25_25, op2(all_0_108_108, all_0_108_108) = all_0_83_83, yields:
% 10.44/2.98 | (339) all_0_25_25 = all_0_83_83
% 10.44/2.98 |
% 10.44/2.98 | Instantiating formula (167) with all_0_116_116, all_0_116_116, all_0_72_72, all_0_55_55 and discharging atoms op2(all_0_116_116, all_0_116_116) = all_0_55_55, op2(all_0_116_116, all_0_116_116) = all_0_72_72, yields:
% 10.44/2.98 | (340) all_0_55_55 = all_0_72_72
% 10.44/2.98 |
% 10.44/2.98 | Instantiating formula (167) with all_0_116_116, all_0_116_116, all_0_86_86, all_0_55_55 and discharging atoms op2(all_0_116_116, all_0_116_116) = all_0_55_55, op2(all_0_116_116, all_0_116_116) = all_0_86_86, yields:
% 10.44/2.98 | (341) all_0_55_55 = all_0_86_86
% 10.44/2.98 |
% 10.44/2.98 | Instantiating formula (167) with all_0_116_116, e20, all_0_68_68, all_0_53_53 and discharging atoms op2(all_0_116_116, e20) = all_0_53_53, op2(all_0_116_116, e20) = all_0_68_68, yields:
% 10.44/2.98 | (342) all_0_53_53 = all_0_68_68
% 10.44/2.98 |
% 10.44/2.98 | Instantiating formula (167) with e22, all_0_108_108, all_0_88_88, all_0_11_11 and discharging atoms op2(e22, all_0_108_108) = all_0_11_11, op2(e22, all_0_108_108) = all_0_88_88, yields:
% 10.44/2.98 | (343) all_0_11_11 = all_0_88_88
% 10.44/2.98 |
% 10.44/2.98 | Instantiating formula (167) with e20, all_0_116_116, all_0_58_58, all_0_48_48 and discharging atoms op2(e20, all_0_116_116) = all_0_48_48, op2(e20, all_0_116_116) = all_0_58_58, yields:
% 10.44/2.98 | (344) all_0_48_48 = all_0_58_58
% 10.44/2.98 |
% 10.44/2.98 | Instantiating formula (167) with e20, all_0_116_116, all_0_96_96, all_0_48_48 and discharging atoms op2(e20, all_0_116_116) = all_0_48_48, op2(e20, all_0_116_116) = all_0_96_96, yields:
% 10.44/2.98 | (345) all_0_48_48 = all_0_96_96
% 10.44/2.98 |
% 10.44/2.98 | Combining equations (345,344) yields a new equation:
% 10.44/2.98 | (346) all_0_58_58 = all_0_96_96
% 10.44/2.98 |
% 10.44/2.98 | Combining equations (340,341) yields a new equation:
% 10.44/2.98 | (347) all_0_72_72 = all_0_86_86
% 10.44/2.98 |
% 10.44/2.98 | Simplifying 347 yields:
% 10.44/2.98 | (348) all_0_72_72 = all_0_86_86
% 10.44/2.98 |
% 10.44/2.98 | From (339) and (165) follows:
% 10.44/2.98 | (322) op2(all_0_108_108, all_0_108_108) = all_0_83_83
% 10.44/2.98 |
% 10.44/2.98 | From (348) and (229) follows:
% 10.44/2.98 | (312) op2(all_0_116_116, all_0_116_116) = all_0_86_86
% 10.44/2.98 |
% 10.44/2.98 | From (342) and (31) follows:
% 10.44/2.98 | (92) op2(all_0_116_116, e20) = all_0_68_68
% 10.44/2.98 |
% 10.44/2.98 | From (343) and (295) follows:
% 10.44/2.98 | (310) op2(e22, all_0_108_108) = all_0_88_88
% 10.44/2.98 |
% 10.44/2.98 | From (346) and (27) follows:
% 10.44/2.98 | (128) op2(e20, all_0_116_116) = all_0_96_96
% 10.44/2.98 |
% 10.44/2.98 +-Applying beta-rule and splitting (234), into two cases.
% 10.44/2.98 |-Branch one:
% 10.44/2.98 | (354) all_0_109_109 = e22
% 10.44/2.98 |
% 10.44/2.98 | Equations (354) can reduce 65 to:
% 10.44/2.98 | (355) ~ (all_0_107_107 = e22)
% 10.44/2.98 |
% 10.44/2.98 | Equations (354) can reduce 30 to:
% 10.44/2.98 | (356) ~ (all_0_108_108 = e22)
% 10.44/2.98 |
% 10.44/2.98 | Equations (354) can reduce 129 to:
% 10.44/2.98 | (357) ~ (all_0_115_115 = e22)
% 10.44/2.98 |
% 10.44/2.98 | Simplifying 357 yields:
% 10.44/2.98 | (358) ~ (all_0_115_115 = e22)
% 10.44/2.98 |
% 10.44/2.98 | From (354) and (49) follows:
% 10.44/2.98 | (359) op2(e21, e22) = all_0_89_89
% 10.44/2.98 |
% 10.44/2.98 +-Applying beta-rule and splitting (84), into two cases.
% 10.44/2.98 |-Branch one:
% 10.44/2.98 | (360) ~ (all_0_108_108 = e23)
% 10.44/2.98 |
% 10.44/2.98 +-Applying beta-rule and splitting (166), into two cases.
% 10.44/2.98 |-Branch one:
% 10.44/2.98 | (361) all_0_108_108 = e22
% 10.44/2.98 |
% 10.44/2.98 | Equations (361) can reduce 356 to:
% 10.44/2.98 | (362) $false
% 10.44/2.98 |
% 10.44/2.98 |-The branch is then unsatisfiable
% 10.44/2.98 |-Branch two:
% 10.44/2.98 | (356) ~ (all_0_108_108 = e22)
% 10.44/2.98 | (364) all_0_108_108 = e23 | all_0_108_108 = e21
% 10.44/2.98 |
% 10.44/2.98 +-Applying beta-rule and splitting (364), into two cases.
% 10.44/2.98 |-Branch one:
% 10.44/2.98 | (365) all_0_108_108 = e23
% 10.44/2.98 |
% 10.44/2.98 | Equations (365) can reduce 360 to:
% 10.44/2.98 | (362) $false
% 10.44/2.98 |
% 10.44/2.98 |-The branch is then unsatisfiable
% 10.44/2.98 |-Branch two:
% 10.44/2.98 | (360) ~ (all_0_108_108 = e23)
% 10.44/2.98 | (368) all_0_108_108 = e21
% 10.44/2.98 |
% 10.44/2.98 | From (368) and (267) follows:
% 10.44/2.98 | (369) op2(e21, e22) = all_0_21_21
% 10.44/2.98 |
% 10.44/2.98 +-Applying beta-rule and splitting (199), into two cases.
% 10.44/2.98 |-Branch one:
% 10.44/2.98 | (370) all_0_115_115 = e22
% 10.44/2.99 |
% 10.44/2.99 | Equations (370) can reduce 358 to:
% 10.44/2.99 | (362) $false
% 10.44/2.99 |
% 10.44/2.99 |-The branch is then unsatisfiable
% 10.44/2.99 |-Branch two:
% 10.44/2.99 | (358) ~ (all_0_115_115 = e22)
% 10.44/2.99 | (373) all_0_115_115 = e21
% 10.44/2.99 |
% 10.44/2.99 | Equations (373) can reduce 105 to:
% 10.44/2.99 | (374) ~ (e23 = e21)
% 10.44/2.99 |
% 10.44/2.99 | Simplifying 374 yields:
% 10.44/2.99 | (251) ~ (e23 = e21)
% 10.44/2.99 |
% 10.44/2.99 | Equations (373) can reduce 358 to:
% 10.44/2.99 | (376) ~ (e22 = e21)
% 10.44/2.99 |
% 10.44/2.99 | Simplifying 376 yields:
% 10.44/2.99 | (219) ~ (e22 = e21)
% 10.44/2.99 |
% 10.44/2.99 +-Applying beta-rule and splitting (177), into two cases.
% 10.44/2.99 |-Branch one:
% 10.44/2.99 | (361) all_0_108_108 = e22
% 10.44/2.99 |
% 10.44/2.99 | Combining equations (368,361) yields a new equation:
% 10.44/2.99 | (379) e22 = e21
% 10.44/2.99 |
% 10.44/2.99 | Equations (379) can reduce 219 to:
% 10.44/2.99 | (362) $false
% 10.44/2.99 |
% 10.44/2.99 |-The branch is then unsatisfiable
% 10.44/2.99 |-Branch two:
% 10.44/2.99 | (356) ~ (all_0_108_108 = e22)
% 10.44/2.99 | (382) all_0_116_116 = e20
% 10.44/2.99 |
% 10.44/2.99 | Equations (382) can reduce 126 to:
% 10.44/2.99 | (383) ~ (all_0_113_113 = e20)
% 10.44/2.99 |
% 10.44/2.99 | From (382)(382) and (312) follows:
% 10.44/2.99 | (384) op2(e20, e20) = all_0_86_86
% 10.44/2.99 |
% 10.44/2.99 | From (382) and (92) follows:
% 10.44/2.99 | (385) op2(e20, e20) = all_0_68_68
% 10.44/2.99 |
% 10.44/2.99 | From (382) and (128) follows:
% 10.44/2.99 | (386) op2(e20, e20) = all_0_96_96
% 10.44/2.99 |
% 10.44/2.99 | From (382) and (72) follows:
% 10.44/2.99 | (387) op2(e20, e20) = e20
% 10.44/2.99 |
% 10.44/2.99 +-Applying beta-rule and splitting (232), into two cases.
% 10.44/2.99 |-Branch one:
% 10.44/2.99 | (388) all_0_107_107 = e20
% 10.44/2.99 |
% 10.44/2.99 | Equations (388) can reduce 38 to:
% 10.44/2.99 | (389) ~ (all_0_113_113 = e20)
% 10.44/2.99 |
% 10.44/2.99 | Simplifying 389 yields:
% 10.44/2.99 | (383) ~ (all_0_113_113 = e20)
% 10.44/2.99 |
% 10.44/2.99 +-Applying beta-rule and splitting (20), into two cases.
% 10.44/2.99 |-Branch one:
% 10.44/2.99 | (391) all_0_107_107 = e23
% 10.44/2.99 |
% 10.44/2.99 | Combining equations (388,391) yields a new equation:
% 10.44/2.99 | (392) e23 = e20
% 10.44/2.99 |
% 10.44/2.99 | Equations (392) can reduce 239 to:
% 10.44/2.99 | (362) $false
% 10.44/2.99 |
% 10.44/2.99 |-The branch is then unsatisfiable
% 10.44/2.99 |-Branch two:
% 10.44/2.99 | (394) ~ (all_0_107_107 = e23)
% 10.44/2.99 | (395) all_0_108_108 = e23 | all_0_110_110 = e23
% 10.44/2.99 |
% 10.44/2.99 +-Applying beta-rule and splitting (395), into two cases.
% 10.44/2.99 |-Branch one:
% 10.44/2.99 | (365) all_0_108_108 = e23
% 10.44/2.99 |
% 10.44/2.99 | Combining equations (368,365) yields a new equation:
% 10.44/2.99 | (397) e23 = e21
% 10.44/2.99 |
% 10.44/2.99 | Equations (397) can reduce 251 to:
% 10.44/2.99 | (362) $false
% 10.44/2.99 |
% 10.44/2.99 |-The branch is then unsatisfiable
% 10.44/2.99 |-Branch two:
% 10.44/2.99 | (360) ~ (all_0_108_108 = e23)
% 10.44/2.99 | (400) all_0_110_110 = e23
% 10.44/2.99 |
% 10.44/2.99 | From (400) and (68) follows:
% 10.44/2.99 | (401) op2(e20, e23) = all_0_90_90
% 10.44/2.99 |
% 10.44/2.99 | Instantiating formula (167) with e21, e22, all_0_21_21, all_0_112_112 and discharging atoms op2(e21, e22) = all_0_21_21, op2(e21, e22) = all_0_112_112, yields:
% 10.44/2.99 | (402) all_0_21_21 = all_0_112_112
% 10.44/2.99 |
% 10.44/2.99 | Instantiating formula (167) with e21, e22, all_0_89_89, all_0_21_21 and discharging atoms op2(e21, e22) = all_0_21_21, op2(e21, e22) = all_0_89_89, yields:
% 10.44/2.99 | (403) all_0_21_21 = all_0_89_89
% 10.44/2.99 |
% 10.44/2.99 | Instantiating formula (167) with e20, e23, all_0_90_90, all_0_113_113 and discharging atoms op2(e20, e23) = all_0_90_90, op2(e20, e23) = all_0_113_113, yields:
% 10.44/2.99 | (404) all_0_90_90 = all_0_113_113
% 10.44/2.99 |
% 10.44/2.99 | Instantiating formula (167) with e20, e20, all_0_86_86, all_0_68_68 and discharging atoms op2(e20, e20) = all_0_68_68, op2(e20, e20) = all_0_86_86, yields:
% 10.44/2.99 | (405) all_0_68_68 = all_0_86_86
% 10.44/2.99 |
% 10.44/2.99 | Instantiating formula (167) with e20, e20, all_0_96_96, all_0_68_68 and discharging atoms op2(e20, e20) = all_0_68_68, op2(e20, e20) = all_0_96_96, yields:
% 10.44/2.99 | (406) all_0_68_68 = all_0_96_96
% 10.44/2.99 |
% 10.44/2.99 | Instantiating formula (167) with e20, e20, e20, all_0_68_68 and discharging atoms op2(e20, e20) = all_0_68_68, op2(e20, e20) = e20, yields:
% 10.44/2.99 | (407) all_0_68_68 = e20
% 10.44/2.99 |
% 10.44/2.99 | Combining equations (402,403) yields a new equation:
% 10.44/2.99 | (408) all_0_89_89 = all_0_112_112
% 10.44/2.99 |
% 10.44/2.99 | Combining equations (407,405) yields a new equation:
% 10.44/2.99 | (409) all_0_86_86 = e20
% 10.44/2.99 |
% 10.44/2.99 | Combining equations (406,405) yields a new equation:
% 10.44/2.99 | (410) all_0_86_86 = all_0_96_96
% 10.44/2.99 |
% 10.44/2.99 | Combining equations (409,410) yields a new equation:
% 10.44/2.99 | (411) all_0_96_96 = e20
% 10.44/2.99 |
% 10.44/2.99 +-Applying beta-rule and splitting (327), into two cases.
% 10.44/2.99 |-Branch one:
% 10.44/2.99 | (412) all_0_112_112 = e22
% 10.44/2.99 |
% 10.44/2.99 | Combining equations (412,408) yields a new equation:
% 10.44/2.99 | (413) all_0_89_89 = e22
% 10.44/2.99 |
% 10.44/2.99 | Equations (412) can reduce 33 to:
% 10.44/2.99 | (414) ~ (all_0_111_111 = e22)
% 10.44/2.99 |
% 10.44/2.99 +-Applying beta-rule and splitting (200), into two cases.
% 10.44/2.99 |-Branch one:
% 10.44/2.99 | (415) ( ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)) | ( ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21)) | ( ~ (all_0_93_93 = all_0_113_113) & ~ (all_0_94_94 = all_0_114_114) & ~ (all_0_95_95 = all_0_115_115) & ~ (all_0_96_96 = all_0_116_116))
% 10.44/2.99 |
% 10.44/2.99 +-Applying beta-rule and splitting (415), into two cases.
% 10.44/2.99 |-Branch one:
% 10.44/2.99 | (416) ( ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)) | ( ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21))
% 10.44/2.99 |
% 10.44/2.99 +-Applying beta-rule and splitting (416), into two cases.
% 10.44/2.99 |-Branch one:
% 10.44/2.99 | (417) ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)
% 10.44/2.99 |
% 10.44/2.99 | Applying alpha-rule on (417) yields:
% 10.44/2.99 | (418) ~ (all_0_87_87 = all_0_107_107)
% 10.44/2.99 | (419) ~ (all_0_88_88 = all_0_108_108)
% 10.44/2.99 | (420) ~ (all_0_89_89 = all_0_109_109)
% 10.44/2.99 | (421) ~ (all_0_90_90 = all_0_110_110)
% 10.44/2.99 |
% 10.44/2.99 | Equations (413,354) can reduce 420 to:
% 10.44/2.99 | (362) $false
% 10.44/2.99 |
% 10.44/2.99 |-The branch is then unsatisfiable
% 10.44/2.99 |-Branch two:
% 10.44/2.99 | (423) ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21)
% 10.44/2.99 |
% 10.44/2.99 | Applying alpha-rule on (423) yields:
% 10.44/3.00 | (424) ~ (all_0_91_91 = all_0_111_111)
% 10.44/3.00 | (425) ~ (all_0_92_92 = all_0_112_112)
% 10.44/3.00 | (426) ~ (all_0_115_115 = e21)
% 10.44/3.00 |
% 10.44/3.00 | Equations (373) can reduce 426 to:
% 10.44/3.00 | (362) $false
% 10.44/3.00 |
% 10.44/3.00 |-The branch is then unsatisfiable
% 10.44/3.00 |-Branch two:
% 10.44/3.00 | (428) ~ (all_0_93_93 = all_0_113_113) & ~ (all_0_94_94 = all_0_114_114) & ~ (all_0_95_95 = all_0_115_115) & ~ (all_0_96_96 = all_0_116_116)
% 10.44/3.00 |
% 10.44/3.00 | Applying alpha-rule on (428) yields:
% 10.44/3.00 | (429) ~ (all_0_93_93 = all_0_113_113)
% 10.44/3.00 | (430) ~ (all_0_94_94 = all_0_114_114)
% 10.44/3.00 | (431) ~ (all_0_95_95 = all_0_115_115)
% 10.44/3.00 | (432) ~ (all_0_96_96 = all_0_116_116)
% 10.44/3.00 |
% 10.44/3.00 | Equations (411,382) can reduce 432 to:
% 10.44/3.00 | (362) $false
% 10.44/3.00 |
% 10.44/3.00 |-The branch is then unsatisfiable
% 10.44/3.00 |-Branch two:
% 10.44/3.00 | (434) ~ (all_0_110_110 = e20) & ~ (all_0_111_111 = e23) & ~ (all_0_114_114 = e22)
% 10.44/3.00 |
% 10.44/3.00 | Applying alpha-rule on (434) yields:
% 10.44/3.00 | (435) ~ (all_0_110_110 = e20)
% 10.44/3.00 | (436) ~ (all_0_111_111 = e23)
% 10.44/3.00 | (437) ~ (all_0_114_114 = e22)
% 10.44/3.00 |
% 10.44/3.00 +-Applying beta-rule and splitting (269), into two cases.
% 10.44/3.00 |-Branch one:
% 10.44/3.00 | (438) all_0_111_111 = e22
% 10.44/3.00 |
% 10.44/3.00 | Equations (438) can reduce 414 to:
% 10.44/3.00 | (362) $false
% 10.44/3.00 |
% 10.44/3.00 |-The branch is then unsatisfiable
% 10.44/3.00 |-Branch two:
% 10.44/3.00 | (414) ~ (all_0_111_111 = e22)
% 10.44/3.00 | (441) all_0_111_111 = e23
% 10.44/3.00 |
% 10.44/3.00 | Equations (441) can reduce 436 to:
% 10.44/3.00 | (362) $false
% 10.44/3.00 |
% 10.44/3.00 |-The branch is then unsatisfiable
% 10.44/3.00 |-Branch two:
% 10.44/3.00 | (443) ~ (all_0_112_112 = e22)
% 10.44/3.00 | (444) all_0_112_112 = e23
% 10.44/3.00 |
% 10.44/3.00 | Equations (444) can reduce 33 to:
% 10.44/3.00 | (436) ~ (all_0_111_111 = e23)
% 10.44/3.00 |
% 10.44/3.00 | Equations (444) can reduce 443 to:
% 10.44/3.00 | (23) ~ (e23 = e22)
% 10.44/3.00 |
% 10.44/3.00 +-Applying beta-rule and splitting (311), into two cases.
% 10.44/3.00 |-Branch one:
% 10.44/3.00 | (438) all_0_111_111 = e22
% 10.44/3.00 |
% 10.44/3.00 | Equations (438) can reduce 59 to:
% 10.44/3.00 | (448) ~ (all_0_113_113 = e22)
% 10.44/3.00 |
% 10.44/3.00 | Simplifying 448 yields:
% 10.44/3.00 | (449) ~ (all_0_113_113 = e22)
% 10.44/3.00 |
% 10.44/3.00 | Equations (438) can reduce 436 to:
% 10.44/3.00 | (450) ~ (e23 = e22)
% 10.44/3.00 |
% 10.44/3.00 | Simplifying 450 yields:
% 10.44/3.00 | (23) ~ (e23 = e22)
% 10.44/3.00 |
% 10.44/3.00 | Equations (438) can reduce 6 to:
% 10.44/3.00 | (219) ~ (e22 = e21)
% 10.44/3.00 |
% 10.44/3.00 +-Applying beta-rule and splitting (118), into two cases.
% 10.44/3.00 |-Branch one:
% 10.44/3.00 | (453) all_0_113_113 = e22
% 10.44/3.00 |
% 10.44/3.00 | Equations (453) can reduce 449 to:
% 10.44/3.00 | (362) $false
% 10.44/3.00 |
% 10.44/3.00 |-The branch is then unsatisfiable
% 10.44/3.00 |-Branch two:
% 10.44/3.00 | (449) ~ (all_0_113_113 = e22)
% 10.44/3.00 | (456) all_0_113_113 = e23 | all_0_113_113 = e20
% 10.44/3.00 |
% 10.44/3.00 +-Applying beta-rule and splitting (22), into two cases.
% 10.44/3.00 |-Branch one:
% 10.44/3.00 | (361) all_0_108_108 = e22
% 10.44/3.00 |
% 10.44/3.00 | Combining equations (368,361) yields a new equation:
% 10.44/3.00 | (379) e22 = e21
% 10.44/3.00 |
% 10.44/3.00 | Equations (379) can reduce 219 to:
% 10.44/3.00 | (362) $false
% 10.44/3.00 |
% 10.44/3.00 |-The branch is then unsatisfiable
% 10.44/3.00 |-Branch two:
% 10.44/3.00 | (356) ~ (all_0_108_108 = e22)
% 10.44/3.00 | (461) all_0_112_112 = e22 | all_0_114_114 = e22
% 10.44/3.00 |
% 10.44/3.00 +-Applying beta-rule and splitting (461), into two cases.
% 10.44/3.00 |-Branch one:
% 10.44/3.00 | (412) all_0_112_112 = e22
% 10.44/3.00 |
% 10.44/3.00 | Combining equations (444,412) yields a new equation:
% 10.44/3.00 | (463) e23 = e22
% 10.44/3.00 |
% 10.44/3.00 | Simplifying 463 yields:
% 10.44/3.00 | (464) e23 = e22
% 10.44/3.00 |
% 10.44/3.00 | Equations (464) can reduce 23 to:
% 10.44/3.00 | (362) $false
% 10.44/3.00 |
% 10.44/3.00 |-The branch is then unsatisfiable
% 10.44/3.00 |-Branch two:
% 10.44/3.00 | (443) ~ (all_0_112_112 = e22)
% 10.44/3.00 | (467) all_0_114_114 = e22
% 10.44/3.00 |
% 10.44/3.00 +-Applying beta-rule and splitting (200), into two cases.
% 10.44/3.00 |-Branch one:
% 10.44/3.00 | (415) ( ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)) | ( ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21)) | ( ~ (all_0_93_93 = all_0_113_113) & ~ (all_0_94_94 = all_0_114_114) & ~ (all_0_95_95 = all_0_115_115) & ~ (all_0_96_96 = all_0_116_116))
% 10.44/3.00 |
% 10.44/3.00 +-Applying beta-rule and splitting (415), into two cases.
% 10.44/3.00 |-Branch one:
% 10.44/3.00 | (416) ( ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)) | ( ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21))
% 10.44/3.00 |
% 10.44/3.00 +-Applying beta-rule and splitting (416), into two cases.
% 10.44/3.00 |-Branch one:
% 10.44/3.00 | (417) ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)
% 10.44/3.00 |
% 10.44/3.00 | Applying alpha-rule on (417) yields:
% 10.44/3.00 | (418) ~ (all_0_87_87 = all_0_107_107)
% 10.44/3.00 | (419) ~ (all_0_88_88 = all_0_108_108)
% 10.44/3.00 | (420) ~ (all_0_89_89 = all_0_109_109)
% 10.44/3.00 | (421) ~ (all_0_90_90 = all_0_110_110)
% 10.44/3.00 |
% 10.44/3.00 | Equations (404,400) can reduce 421 to:
% 10.44/3.00 | (475) ~ (all_0_113_113 = e23)
% 10.44/3.00 |
% 10.44/3.00 +-Applying beta-rule and splitting (456), into two cases.
% 10.44/3.00 |-Branch one:
% 10.44/3.00 | (476) all_0_113_113 = e20
% 10.44/3.00 |
% 10.44/3.00 | Equations (476) can reduce 383 to:
% 10.44/3.00 | (362) $false
% 10.44/3.00 |
% 10.44/3.00 |-The branch is then unsatisfiable
% 10.44/3.00 |-Branch two:
% 10.44/3.00 | (383) ~ (all_0_113_113 = e20)
% 10.44/3.00 | (479) all_0_113_113 = e23
% 10.44/3.00 |
% 10.44/3.00 | Equations (479) can reduce 475 to:
% 10.44/3.00 | (362) $false
% 10.44/3.00 |
% 10.44/3.01 |-The branch is then unsatisfiable
% 10.44/3.01 |-Branch two:
% 10.44/3.01 | (423) ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21)
% 10.44/3.01 |
% 10.44/3.01 | Applying alpha-rule on (423) yields:
% 10.44/3.01 | (424) ~ (all_0_91_91 = all_0_111_111)
% 10.44/3.01 | (425) ~ (all_0_92_92 = all_0_112_112)
% 10.44/3.01 | (426) ~ (all_0_115_115 = e21)
% 10.44/3.01 |
% 10.44/3.01 | Equations (373) can reduce 426 to:
% 10.44/3.01 | (362) $false
% 10.44/3.01 |
% 10.44/3.01 |-The branch is then unsatisfiable
% 10.44/3.01 |-Branch two:
% 10.44/3.01 | (428) ~ (all_0_93_93 = all_0_113_113) & ~ (all_0_94_94 = all_0_114_114) & ~ (all_0_95_95 = all_0_115_115) & ~ (all_0_96_96 = all_0_116_116)
% 10.44/3.01 |
% 10.44/3.01 | Applying alpha-rule on (428) yields:
% 10.44/3.01 | (429) ~ (all_0_93_93 = all_0_113_113)
% 10.44/3.01 | (430) ~ (all_0_94_94 = all_0_114_114)
% 10.44/3.01 | (431) ~ (all_0_95_95 = all_0_115_115)
% 10.44/3.01 | (432) ~ (all_0_96_96 = all_0_116_116)
% 10.44/3.01 |
% 10.44/3.01 | Equations (411,382) can reduce 432 to:
% 10.44/3.01 | (362) $false
% 10.44/3.01 |
% 10.44/3.01 |-The branch is then unsatisfiable
% 10.44/3.01 |-Branch two:
% 10.44/3.01 | (434) ~ (all_0_110_110 = e20) & ~ (all_0_111_111 = e23) & ~ (all_0_114_114 = e22)
% 10.44/3.01 |
% 10.44/3.01 | Applying alpha-rule on (434) yields:
% 10.44/3.01 | (435) ~ (all_0_110_110 = e20)
% 10.44/3.01 | (436) ~ (all_0_111_111 = e23)
% 10.44/3.01 | (437) ~ (all_0_114_114 = e22)
% 10.44/3.01 |
% 10.44/3.01 | Equations (467) can reduce 437 to:
% 10.44/3.01 | (362) $false
% 10.44/3.01 |
% 10.44/3.01 |-The branch is then unsatisfiable
% 10.44/3.01 |-Branch two:
% 10.44/3.01 | (414) ~ (all_0_111_111 = e22)
% 10.44/3.01 | (412) all_0_112_112 = e22
% 10.44/3.01 |
% 10.44/3.01 | Combining equations (444,412) yields a new equation:
% 10.44/3.01 | (463) e23 = e22
% 10.44/3.01 |
% 10.44/3.01 | Simplifying 463 yields:
% 10.44/3.01 | (464) e23 = e22
% 10.44/3.01 |
% 10.44/3.01 | Equations (464) can reduce 23 to:
% 10.44/3.01 | (362) $false
% 10.44/3.01 |
% 10.44/3.01 |-The branch is then unsatisfiable
% 10.44/3.01 |-Branch two:
% 10.44/3.01 | (502) ~ (all_0_107_107 = e20)
% 10.44/3.01 | (476) all_0_113_113 = e20
% 10.44/3.01 |
% 10.44/3.01 | Equations (476) can reduce 383 to:
% 10.44/3.01 | (362) $false
% 10.44/3.01 |
% 10.44/3.01 |-The branch is then unsatisfiable
% 10.44/3.01 |-Branch two:
% 10.44/3.01 | (365) all_0_108_108 = e23
% 10.44/3.01 | (506) all_0_107_107 = e22
% 10.44/3.01 |
% 10.44/3.01 | Equations (506) can reduce 355 to:
% 10.44/3.01 | (362) $false
% 10.44/3.01 |
% 10.44/3.01 |-The branch is then unsatisfiable
% 10.44/3.01 |-Branch two:
% 10.44/3.01 | (508) ~ (all_0_109_109 = e22)
% 10.44/3.01 | (509) all_0_109_109 = e21
% 10.44/3.01 |
% 10.44/3.01 | Equations (509) can reduce 30 to:
% 10.44/3.01 | (510) ~ (all_0_108_108 = e21)
% 10.44/3.01 |
% 10.44/3.01 | Equations (509) can reduce 277 to:
% 10.44/3.01 | (511) ~ (all_0_110_110 = e21)
% 10.44/3.01 |
% 10.44/3.01 | Simplifying 511 yields:
% 10.44/3.01 | (304) ~ (all_0_110_110 = e21)
% 10.44/3.01 |
% 10.44/3.01 | Equations (509) can reduce 508 to:
% 10.44/3.01 | (376) ~ (e22 = e21)
% 10.44/3.01 |
% 10.44/3.01 | Simplifying 376 yields:
% 10.44/3.01 | (219) ~ (e22 = e21)
% 10.44/3.01 |
% 10.44/3.01 | From (509) and (71) follows:
% 10.44/3.01 | (515) op2(e22, e21) = e21
% 10.44/3.01 |
% 10.44/3.01 +-Applying beta-rule and splitting (80), into two cases.
% 10.44/3.01 |-Branch one:
% 10.44/3.01 | (354) all_0_109_109 = e22
% 10.44/3.01 |
% 10.44/3.01 | Combining equations (509,354) yields a new equation:
% 10.44/3.01 | (379) e22 = e21
% 10.44/3.01 |
% 10.44/3.01 | Equations (379) can reduce 219 to:
% 10.44/3.01 | (362) $false
% 10.44/3.01 |
% 10.44/3.01 |-The branch is then unsatisfiable
% 10.44/3.01 |-Branch two:
% 10.44/3.01 | (508) ~ (all_0_109_109 = e22)
% 10.44/3.01 | (370) all_0_115_115 = e22
% 10.44/3.01 |
% 10.44/3.01 | Equations (370) can reduce 8 to:
% 10.44/3.01 | (521) ~ (all_0_116_116 = e22)
% 10.44/3.01 |
% 10.44/3.01 | Simplifying 521 yields:
% 10.44/3.01 | (236) ~ (all_0_116_116 = e22)
% 10.44/3.01 |
% 10.44/3.01 +-Applying beta-rule and splitting (317), into two cases.
% 10.44/3.01 |-Branch one:
% 10.44/3.01 | (368) all_0_108_108 = e21
% 10.44/3.01 |
% 10.44/3.01 | Equations (368) can reduce 510 to:
% 10.44/3.01 | (362) $false
% 10.44/3.01 |
% 10.44/3.01 |-The branch is then unsatisfiable
% 10.44/3.01 |-Branch two:
% 10.44/3.01 | (510) ~ (all_0_108_108 = e21)
% 10.44/3.01 | (526) all_0_114_114 = e21
% 10.44/3.01 |
% 10.44/3.01 | Equations (526) can reduce 67 to:
% 10.44/3.01 | (510) ~ (all_0_108_108 = e21)
% 10.44/3.01 |
% 10.44/3.01 | From (526) and (302) follows:
% 10.44/3.01 | (528) op2(e22, e21) = all_0_94_94
% 10.44/3.01 |
% 10.44/3.02 | Instantiating formula (167) with e22, e21, e21, all_0_94_94 and discharging atoms op2(e22, e21) = all_0_94_94, op2(e22, e21) = e21, yields:
% 10.44/3.02 | (529) all_0_94_94 = e21
% 10.44/3.02 |
% 10.44/3.02 +-Applying beta-rule and splitting (311), into two cases.
% 10.44/3.02 |-Branch one:
% 10.44/3.02 | (438) all_0_111_111 = e22
% 10.44/3.02 |
% 10.44/3.02 | Equations (438) can reduce 33 to:
% 10.44/3.02 | (531) ~ (all_0_112_112 = e22)
% 10.44/3.02 |
% 10.44/3.02 | Simplifying 531 yields:
% 10.44/3.02 | (443) ~ (all_0_112_112 = e22)
% 10.44/3.02 |
% 10.44/3.02 +-Applying beta-rule and splitting (327), into two cases.
% 10.44/3.02 |-Branch one:
% 10.44/3.02 | (412) all_0_112_112 = e22
% 10.44/3.02 |
% 10.44/3.02 | Equations (412) can reduce 443 to:
% 10.44/3.02 | (362) $false
% 10.44/3.02 |
% 10.44/3.02 |-The branch is then unsatisfiable
% 10.44/3.02 |-Branch two:
% 10.44/3.02 | (443) ~ (all_0_112_112 = e22)
% 10.44/3.02 | (444) all_0_112_112 = e23
% 10.44/3.02 |
% 10.44/3.02 | Equations (444) can reduce 222 to:
% 10.44/3.02 | (360) ~ (all_0_108_108 = e23)
% 10.44/3.02 |
% 10.44/3.02 | From (444) and (110) follows:
% 10.44/3.02 | (538) op2(e22, e23) = all_0_92_92
% 10.44/3.02 |
% 10.44/3.02 +-Applying beta-rule and splitting (166), into two cases.
% 10.44/3.02 |-Branch one:
% 10.44/3.02 | (361) all_0_108_108 = e22
% 10.44/3.02 |
% 10.44/3.02 | From (361)(361) and (322) follows:
% 10.44/3.02 | (540) op2(e22, e22) = all_0_83_83
% 10.44/3.02 |
% 10.44/3.02 | From (361) and (267) follows:
% 10.44/3.02 | (541) op2(e22, e22) = all_0_21_21
% 10.44/3.02 |
% 10.44/3.02 | From (361) and (310) follows:
% 10.44/3.02 | (542) op2(e22, e22) = all_0_88_88
% 10.44/3.02 |
% 10.44/3.02 | From (361) and (4) follows:
% 10.44/3.02 | (543) op2(e22, e22) = e22
% 10.44/3.02 |
% 10.44/3.02 | Instantiating formula (167) with e22, e23, all_0_92_92, all_0_107_107 and discharging atoms op2(e22, e23) = all_0_92_92, op2(e22, e23) = all_0_107_107, yields:
% 10.44/3.02 | (544) all_0_92_92 = all_0_107_107
% 10.44/3.02 |
% 10.44/3.02 | Instantiating formula (167) with e22, e22, all_0_83_83, all_0_21_21 and discharging atoms op2(e22, e22) = all_0_21_21, op2(e22, e22) = all_0_83_83, yields:
% 10.44/3.02 | (545) all_0_21_21 = all_0_83_83
% 10.44/3.02 |
% 10.44/3.02 | Instantiating formula (167) with e22, e22, all_0_88_88, all_0_83_83 and discharging atoms op2(e22, e22) = all_0_83_83, op2(e22, e22) = all_0_88_88, yields:
% 10.44/3.02 | (546) all_0_83_83 = all_0_88_88
% 10.44/3.02 |
% 10.44/3.02 | Instantiating formula (167) with e22, e22, e22, all_0_21_21 and discharging atoms op2(e22, e22) = all_0_21_21, op2(e22, e22) = e22, yields:
% 10.44/3.02 | (547) all_0_21_21 = e22
% 10.44/3.02 |
% 10.44/3.02 | Combining equations (545,547) yields a new equation:
% 10.44/3.02 | (548) all_0_83_83 = e22
% 10.44/3.02 |
% 10.44/3.02 | Simplifying 548 yields:
% 10.44/3.02 | (549) all_0_83_83 = e22
% 10.44/3.02 |
% 10.44/3.02 | Combining equations (546,549) yields a new equation:
% 10.44/3.02 | (550) all_0_88_88 = e22
% 10.44/3.02 |
% 10.44/3.02 | Simplifying 550 yields:
% 10.44/3.02 | (551) all_0_88_88 = e22
% 10.44/3.02 |
% 10.44/3.02 +-Applying beta-rule and splitting (144), into two cases.
% 10.44/3.02 |-Branch one:
% 10.44/3.02 | (552) all_0_110_110 = e20
% 10.44/3.02 |
% 10.44/3.02 | Equations (552) can reduce 63 to:
% 10.44/3.02 | (553) ~ (all_0_116_116 = e20)
% 10.44/3.02 |
% 10.44/3.02 | Simplifying 553 yields:
% 10.44/3.02 | (554) ~ (all_0_116_116 = e20)
% 10.44/3.02 |
% 10.44/3.02 +-Applying beta-rule and splitting (330), into two cases.
% 10.44/3.02 |-Branch one:
% 10.44/3.02 | (382) all_0_116_116 = e20
% 10.44/3.02 |
% 10.44/3.02 | Equations (382) can reduce 554 to:
% 10.44/3.02 | (362) $false
% 10.44/3.02 |
% 10.44/3.02 |-The branch is then unsatisfiable
% 10.44/3.02 |-Branch two:
% 10.44/3.02 | (554) ~ (all_0_116_116 = e20)
% 10.44/3.02 | (558) all_0_116_116 = e23
% 10.44/3.02 |
% 10.44/3.02 | Equations (558) can reduce 126 to:
% 10.44/3.02 | (475) ~ (all_0_113_113 = e23)
% 10.44/3.02 |
% 10.44/3.02 | Equations (558) can reduce 236 to:
% 10.44/3.02 | (23) ~ (e23 = e22)
% 10.44/3.02 |
% 10.44/3.02 +-Applying beta-rule and splitting (203), into two cases.
% 10.44/3.02 |-Branch one:
% 10.44/3.02 | (561) ~ (all_0_116_116 = e23)
% 10.44/3.02 |
% 10.44/3.02 | Equations (558) can reduce 561 to:
% 10.44/3.02 | (362) $false
% 10.44/3.02 |
% 10.44/3.02 |-The branch is then unsatisfiable
% 10.44/3.02 |-Branch two:
% 10.44/3.02 | (558) all_0_116_116 = e23
% 10.44/3.02 | (476) all_0_113_113 = e20
% 10.44/3.02 |
% 10.44/3.02 | Equations (476) can reduce 475 to:
% 10.44/3.02 | (565) ~ (e23 = e20)
% 10.44/3.02 |
% 10.44/3.02 | Simplifying 565 yields:
% 10.44/3.02 | (239) ~ (e23 = e20)
% 10.44/3.02 |
% 10.44/3.02 +-Applying beta-rule and splitting (117), into two cases.
% 10.44/3.02 |-Branch one:
% 10.44/3.02 | (391) all_0_107_107 = e23
% 10.44/3.02 |
% 10.44/3.02 | Combining equations (391,544) yields a new equation:
% 10.44/3.02 | (568) all_0_92_92 = e23
% 10.44/3.02 |
% 10.44/3.02 +-Applying beta-rule and splitting (200), into two cases.
% 10.44/3.02 |-Branch one:
% 10.44/3.02 | (415) ( ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)) | ( ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21)) | ( ~ (all_0_93_93 = all_0_113_113) & ~ (all_0_94_94 = all_0_114_114) & ~ (all_0_95_95 = all_0_115_115) & ~ (all_0_96_96 = all_0_116_116))
% 10.44/3.02 |
% 10.44/3.02 +-Applying beta-rule and splitting (415), into two cases.
% 10.44/3.02 |-Branch one:
% 10.44/3.02 | (416) ( ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)) | ( ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21))
% 10.44/3.02 |
% 10.44/3.02 +-Applying beta-rule and splitting (416), into two cases.
% 10.44/3.02 |-Branch one:
% 10.44/3.02 | (417) ~ (all_0_87_87 = all_0_107_107) & ~ (all_0_88_88 = all_0_108_108) & ~ (all_0_89_89 = all_0_109_109) & ~ (all_0_90_90 = all_0_110_110)
% 10.44/3.02 |
% 10.44/3.02 | Applying alpha-rule on (417) yields:
% 10.44/3.02 | (418) ~ (all_0_87_87 = all_0_107_107)
% 10.44/3.02 | (419) ~ (all_0_88_88 = all_0_108_108)
% 10.44/3.02 | (420) ~ (all_0_89_89 = all_0_109_109)
% 10.44/3.03 | (421) ~ (all_0_90_90 = all_0_110_110)
% 10.44/3.03 |
% 10.44/3.03 | Equations (551,361) can reduce 419 to:
% 10.44/3.03 | (362) $false
% 10.44/3.03 |
% 10.44/3.03 |-The branch is then unsatisfiable
% 10.44/3.03 |-Branch two:
% 10.44/3.03 | (423) ~ (all_0_91_91 = all_0_111_111) & ~ (all_0_92_92 = all_0_112_112) & ~ (all_0_115_115 = e21)
% 10.44/3.03 |
% 10.44/3.03 | Applying alpha-rule on (423) yields:
% 10.44/3.03 | (424) ~ (all_0_91_91 = all_0_111_111)
% 10.44/3.03 | (425) ~ (all_0_92_92 = all_0_112_112)
% 10.44/3.03 | (426) ~ (all_0_115_115 = e21)
% 10.44/3.03 |
% 10.44/3.03 | Equations (568,444) can reduce 425 to:
% 10.44/3.03 | (362) $false
% 10.44/3.03 |
% 10.44/3.03 |-The branch is then unsatisfiable
% 10.44/3.03 |-Branch two:
% 10.44/3.03 | (428) ~ (all_0_93_93 = all_0_113_113) & ~ (all_0_94_94 = all_0_114_114) & ~ (all_0_95_95 = all_0_115_115) & ~ (all_0_96_96 = all_0_116_116)
% 10.44/3.03 |
% 10.44/3.03 | Applying alpha-rule on (428) yields:
% 10.44/3.03 | (429) ~ (all_0_93_93 = all_0_113_113)
% 10.44/3.03 | (430) ~ (all_0_94_94 = all_0_114_114)
% 10.44/3.03 | (431) ~ (all_0_95_95 = all_0_115_115)
% 10.44/3.03 | (432) ~ (all_0_96_96 = all_0_116_116)
% 10.44/3.03 |
% 10.44/3.03 | Equations (529,526) can reduce 430 to:
% 10.44/3.03 | (362) $false
% 10.44/3.03 |
% 10.44/3.03 |-The branch is then unsatisfiable
% 10.44/3.03 |-Branch two:
% 10.44/3.03 | (434) ~ (all_0_110_110 = e20) & ~ (all_0_111_111 = e23) & ~ (all_0_114_114 = e22)
% 10.44/3.03 |
% 10.44/3.03 | Applying alpha-rule on (434) yields:
% 10.44/3.03 | (435) ~ (all_0_110_110 = e20)
% 10.44/3.03 | (436) ~ (all_0_111_111 = e23)
% 10.44/3.03 | (437) ~ (all_0_114_114 = e22)
% 10.44/3.03 |
% 10.44/3.03 | Equations (552) can reduce 435 to:
% 10.44/3.03 | (362) $false
% 10.44/3.03 |
% 10.44/3.03 |-The branch is then unsatisfiable
% 10.44/3.03 |-Branch two:
% 10.44/3.03 | (394) ~ (all_0_107_107 = e23)
% 10.44/3.03 | (594) all_0_111_111 = e23 | all_0_113_113 = e23
% 10.44/3.03 |
% 10.44/3.03 +-Applying beta-rule and splitting (594), into two cases.
% 10.44/3.03 |-Branch one:
% 10.44/3.03 | (441) all_0_111_111 = e23
% 10.44/3.03 |
% 10.44/3.03 | Combining equations (441,438) yields a new equation:
% 10.44/3.03 | (463) e23 = e22
% 10.44/3.03 |
% 10.44/3.03 | Simplifying 463 yields:
% 10.44/3.03 | (464) e23 = e22
% 10.44/3.03 |
% 10.44/3.03 | Equations (464) can reduce 23 to:
% 10.44/3.03 | (362) $false
% 10.44/3.03 |
% 10.44/3.03 |-The branch is then unsatisfiable
% 10.44/3.03 |-Branch two:
% 10.44/3.03 | (436) ~ (all_0_111_111 = e23)
% 10.44/3.03 | (479) all_0_113_113 = e23
% 10.44/3.03 |
% 10.44/3.03 | Combining equations (479,476) yields a new equation:
% 10.44/3.03 | (601) e23 = e20
% 10.44/3.03 |
% 10.44/3.03 | Simplifying 601 yields:
% 10.44/3.03 | (392) e23 = e20
% 10.44/3.03 |
% 10.44/3.03 | Equations (392) can reduce 239 to:
% 10.44/3.03 | (362) $false
% 10.44/3.03 |
% 10.44/3.03 |-The branch is then unsatisfiable
% 10.44/3.03 |-Branch two:
% 10.44/3.03 | (435) ~ (all_0_110_110 = e20)
% 10.44/3.03 | (400) all_0_110_110 = e23
% 10.44/3.03 |
% 10.44/3.03 | Equations (400) can reduce 131 to:
% 10.44/3.03 | (394) ~ (all_0_107_107 = e23)
% 10.44/3.03 |
% 10.44/3.03 | Equations (400) can reduce 63 to:
% 10.44/3.03 | (607) ~ (all_0_116_116 = e23)
% 10.44/3.03 |
% 10.44/3.03 | Simplifying 607 yields:
% 10.44/3.03 | (561) ~ (all_0_116_116 = e23)
% 10.44/3.03 |
% 10.44/3.03 | Equations (400) can reduce 304 to:
% 10.44/3.03 | (251) ~ (e23 = e21)
% 10.44/3.03 |
% 10.44/3.03 +-Applying beta-rule and splitting (330), into two cases.
% 10.44/3.03 |-Branch one:
% 10.44/3.03 | (382) all_0_116_116 = e20
% 10.44/3.03 |
% 10.44/3.03 | Equations (382) can reduce 126 to:
% 10.44/3.03 | (383) ~ (all_0_113_113 = e20)
% 10.44/3.03 |
% 10.44/3.03 +-Applying beta-rule and splitting (232), into two cases.
% 10.44/3.03 |-Branch one:
% 10.44/3.03 | (388) all_0_107_107 = e20
% 10.44/3.03 |
% 10.44/3.03 | Equations (388) can reduce 394 to:
% 10.44/3.03 | (565) ~ (e23 = e20)
% 10.44/3.03 |
% 10.44/3.03 | Simplifying 565 yields:
% 10.44/3.03 | (239) ~ (e23 = e20)
% 10.44/3.03 |
% 10.44/3.03 +-Applying beta-rule and splitting (62), into two cases.
% 10.44/3.03 |-Branch one:
% 10.44/3.03 | (479) all_0_113_113 = e23
% 10.44/3.03 |
% 10.44/3.03 +-Applying beta-rule and splitting (66), into two cases.
% 10.44/3.03 |-Branch one:
% 10.44/3.03 | (616) all_0_118_118 = e12
% 10.44/3.03 |
% 10.44/3.03 | Equations (616) can reduce 96 to:
% 10.44/3.03 | (617) ~ (all_0_119_119 = e12)
% 10.44/3.03 |
% 10.44/3.03 | Simplifying 617 yields:
% 10.44/3.03 | (618) ~ (all_0_119_119 = e12)
% 10.44/3.03 |
% 10.44/3.03 | Equations (616) can reduce 149 to:
% 10.44/3.03 | (619) ~ (all_0_122_122 = e12)
% 10.44/3.03 |
% 10.44/3.03 | Simplifying 619 yields:
% 10.44/3.03 | (620) ~ (all_0_122_122 = e12)
% 10.44/3.03 |
% 10.44/3.03 | From (616) and (75) follows:
% 10.44/3.03 | (621) op1(e12, e12) = all_0_98_98
% 10.44/3.03 |
% 10.44/3.03 | From (616) and (315) follows:
% 10.44/3.03 | (622) op1(e12, e12) = e12
% 10.44/3.03 |
% 10.44/3.03 | From (616) and (25) follows:
% 10.44/3.03 | (623) h4(e12) = all_0_1_1
% 10.44/3.03 |
% 10.44/3.03 +-Applying beta-rule and splitting (227), into two cases.
% 10.44/3.03 |-Branch one:
% 10.44/3.04 | (624) all_0_119_119 = e12
% 10.44/3.04 |
% 10.44/3.04 | Equations (624) can reduce 618 to:
% 10.44/3.04 | (362) $false
% 10.44/3.04 |
% 10.44/3.04 |-The branch is then unsatisfiable
% 10.44/3.04 |-Branch two:
% 10.44/3.04 | (618) ~ (all_0_119_119 = e12)
% 10.44/3.04 | (627) all_0_125_125 = e12
% 10.44/3.04 |
% 10.44/3.04 | Equations (627) can reduce 198 to:
% 10.44/3.04 | (618) ~ (all_0_119_119 = e12)
% 10.44/3.04 |
% 10.44/3.04 | Equations (627) can reduce 308 to:
% 10.44/3.04 | (629) ~ (all_0_126_126 = e12)
% 10.44/3.04 |
% 10.44/3.04 | Simplifying 629 yields:
% 10.44/3.04 | (329) ~ (all_0_126_126 = e12)
% 10.44/3.04 |
% 10.44/3.04 | From (627) and (89) follows:
% 10.44/3.04 | (631) h4(e12) = all_0_8_8
% 10.44/3.04 |
% 10.44/3.04 +-Applying beta-rule and splitting (242), into two cases.
% 10.44/3.04 |-Branch one:
% 10.44/3.04 | (632) all_0_122_122 = e12
% 10.44/3.04 |
% 10.44/3.04 | Equations (632) can reduce 620 to:
% 10.44/3.04 | (362) $false
% 10.44/3.04 |
% 10.44/3.04 |-The branch is then unsatisfiable
% 10.44/3.04 |-Branch two:
% 10.44/3.04 | (620) ~ (all_0_122_122 = e12)
% 10.44/3.04 | (635) all_0_122_122 = e13
% 10.44/3.04 |
% 10.44/3.04 | Equations (635) can reduce 620 to:
% 10.44/3.04 | (260) ~ (e13 = e12)
% 10.44/3.04 |
% 10.44/3.04 | From (635) and (331) follows:
% 10.44/3.04 | (637) op1(e12, e13) = all_0_102_102
% 10.44/3.04 |
% 10.44/3.04 | From (635) and (120) follows:
% 10.44/3.04 | (638) h4(e13) = all_0_5_5
% 10.44/3.04 |
% 10.44/3.04 +-Applying beta-rule and splitting (201), into two cases.
% 10.44/3.04 |-Branch one:
% 10.44/3.04 | (639) all_0_121_121 = e12
% 10.44/3.04 |
% 10.44/3.04 | From (639) and (82) follows:
% 10.44/3.04 | (640) h4(e12) = all_0_4_4
% 10.44/3.04 |
% 10.44/3.04 +-Applying beta-rule and splitting (337), into two cases.
% 10.44/3.04 |-Branch one:
% 10.44/3.04 | (624) all_0_119_119 = e12
% 10.44/3.04 |
% 10.44/3.04 | Equations (624) can reduce 618 to:
% 10.44/3.04 | (362) $false
% 10.44/3.04 |
% 10.44/3.04 |-The branch is then unsatisfiable
% 10.44/3.04 |-Branch two:
% 10.44/3.04 | (618) ~ (all_0_119_119 = e12)
% 10.44/3.04 | (644) all_0_119_119 = e11
% 10.44/3.04 |
% 10.44/3.04 | Equations (644) can reduce 127 to:
% 10.44/3.04 | (645) ~ (all_0_120_120 = e11)
% 10.44/3.04 |
% 10.44/3.04 | Simplifying 645 yields:
% 10.44/3.04 | (9) ~ (all_0_120_120 = e11)
% 10.44/3.04 |
% 10.44/3.04 | Equations (644) can reduce 618 to:
% 10.44/3.04 | (647) ~ (e12 = e11)
% 10.44/3.04 |
% 10.44/3.04 | Simplifying 647 yields:
% 10.44/3.04 | (288) ~ (e12 = e11)
% 10.44/3.04 |
% 10.44/3.04 | From (644) and (5) follows:
% 10.44/3.04 | (649) op1(e12, e11) = e11
% 10.44/3.04 |
% 10.44/3.04 | From (644) and (207) follows:
% 10.44/3.04 | (650) h4(e11) = all_0_2_2
% 10.44/3.04 |
% 10.44/3.04 +-Applying beta-rule and splitting (235), into two cases.
% 10.44/3.04 |-Branch one:
% 10.44/3.04 | (651) all_0_124_124 = e11
% 10.44/3.04 |
% 10.44/3.04 | From (651) and (17) follows:
% 10.44/3.04 | (652) op1(e12, e11) = all_0_104_104
% 10.44/3.04 |
% 10.44/3.04 | From (651) and (111) follows:
% 10.44/3.04 | (653) h4(e11) = all_0_7_7
% 10.44/3.04 |
% 10.44/3.04 | Instantiating formula (52) with e12, e13, all_0_102_102, all_0_117_117 and discharging atoms op1(e12, e13) = all_0_102_102, op1(e12, e13) = all_0_117_117, yields:
% 10.44/3.04 | (654) all_0_102_102 = all_0_117_117
% 10.44/3.04 |
% 10.44/3.04 | Instantiating formula (52) with e12, e12, e12, all_0_98_98 and discharging atoms op1(e12, e12) = all_0_98_98, op1(e12, e12) = e12, yields:
% 10.44/3.04 | (655) all_0_98_98 = e12
% 10.44/3.04 |
% 10.44/3.04 | Instantiating formula (52) with e12, e11, e11, all_0_104_104 and discharging atoms op1(e12, e11) = all_0_104_104, op1(e12, e11) = e11, yields:
% 10.44/3.04 | (656) all_0_104_104 = e11
% 10.44/3.04 |
% 10.44/3.04 | Instantiating formula (263) with e13, all_0_5_5, e23 and discharging atoms h4(e13) = all_0_5_5, h4(e13) = e23, yields:
% 10.44/3.04 | (657) all_0_5_5 = e23
% 10.44/3.04 |
% 10.44/3.04 | Instantiating formula (263) with e12, all_0_4_4, e22 and discharging atoms h4(e12) = all_0_4_4, h4(e12) = e22, yields:
% 10.44/3.04 | (658) all_0_4_4 = e22
% 10.44/3.04 |
% 10.44/3.04 | Instantiating formula (263) with e12, all_0_4_4, all_0_1_1 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = all_0_4_4, yields:
% 10.44/3.04 | (659) all_0_1_1 = all_0_4_4
% 10.44/3.04 |
% 10.44/3.04 | Instantiating formula (263) with e12, all_0_8_8, all_0_1_1 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = all_0_8_8, yields:
% 10.44/3.04 | (660) all_0_1_1 = all_0_8_8
% 10.44/3.04 |
% 10.44/3.04 | Instantiating formula (263) with e11, all_0_2_2, e21 and discharging atoms h4(e11) = all_0_2_2, h4(e11) = e21, yields:
% 10.44/3.04 | (661) all_0_2_2 = e21
% 10.44/3.04 |
% 10.44/3.04 | Instantiating formula (263) with e11, all_0_7_7, all_0_2_2 and discharging atoms h4(e11) = all_0_2_2, h4(e11) = all_0_7_7, yields:
% 10.44/3.04 | (662) all_0_2_2 = all_0_7_7
% 10.44/3.04 |
% 10.44/3.04 | Combining equations (659,660) yields a new equation:
% 10.44/3.04 | (663) all_0_4_4 = all_0_8_8
% 10.44/3.04 |
% 10.44/3.04 | Simplifying 663 yields:
% 10.44/3.04 | (664) all_0_4_4 = all_0_8_8
% 10.44/3.04 |
% 10.44/3.04 | Combining equations (661,662) yields a new equation:
% 10.44/3.04 | (665) all_0_7_7 = e21
% 10.44/3.04 |
% 10.44/3.04 | Combining equations (664,658) yields a new equation:
% 10.44/3.04 | (666) all_0_8_8 = e22
% 10.44/3.04 |
% 10.44/3.04 | Simplifying 666 yields:
% 10.44/3.04 | (667) all_0_8_8 = e22
% 10.44/3.04 |
% 10.44/3.04 | Combining equations (665,662) yields a new equation:
% 10.44/3.04 | (661) all_0_2_2 = e21
% 10.44/3.04 |
% 10.44/3.05 | Combining equations (667,660) yields a new equation:
% 10.44/3.05 | (669) all_0_1_1 = e22
% 10.44/3.05 |
% 10.44/3.05 | From (657) and (638) follows:
% 10.44/3.05 | (321) h4(e13) = e23
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (121), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (671) ~ (all_0_126_126 = e13)
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (318), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (672) all_0_123_123 = e13
% 10.44/3.05 |
% 10.44/3.05 | Equations (672) can reduce 16 to:
% 10.44/3.05 | (673) ~ (all_0_126_126 = e13)
% 10.44/3.05 |
% 10.44/3.05 | Simplifying 673 yields:
% 10.44/3.05 | (671) ~ (all_0_126_126 = e13)
% 10.44/3.05 |
% 10.44/3.05 | From (672) and (54) follows:
% 10.44/3.05 | (675) h4(e13) = all_0_6_6
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (191), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (676) all_0_120_120 = e13
% 10.44/3.05 |
% 10.44/3.05 | Equations (676) can reduce 142 to:
% 10.44/3.05 | (673) ~ (all_0_126_126 = e13)
% 10.44/3.05 |
% 10.44/3.05 | Simplifying 673 yields:
% 10.44/3.05 | (671) ~ (all_0_126_126 = e13)
% 10.44/3.05 |
% 10.44/3.05 | From (676) and (244) follows:
% 10.44/3.05 | (679) h4(e13) = all_0_3_3
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (86), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (680) all_0_126_126 = e13
% 10.44/3.05 |
% 10.44/3.05 | Equations (680) can reduce 671 to:
% 10.44/3.05 | (362) $false
% 10.44/3.05 |
% 10.44/3.05 |-The branch is then unsatisfiable
% 10.44/3.05 |-Branch two:
% 10.44/3.05 | (671) ~ (all_0_126_126 = e13)
% 10.44/3.05 | (683) all_0_126_126 = e10
% 10.44/3.05 |
% 10.44/3.05 | Equations (683) can reduce 671 to:
% 10.44/3.05 | (684) ~ (e13 = e10)
% 10.44/3.05 |
% 10.44/3.05 | Simplifying 684 yields:
% 10.44/3.05 | (168) ~ (e13 = e10)
% 10.44/3.05 |
% 10.44/3.05 | From (683) and (332) follows:
% 10.44/3.05 | (686) h4(e10) = all_0_9_9
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (10), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (687) all_0_117_117 = e10
% 10.44/3.05 |
% 10.44/3.05 | From (687) and (206) follows:
% 10.44/3.05 | (688) h4(e10) = all_0_0_0
% 10.44/3.05 |
% 10.44/3.05 | Instantiating formula (263) with e13, all_0_3_3, e23 and discharging atoms h4(e13) = all_0_3_3, h4(e13) = e23, yields:
% 10.44/3.05 | (689) all_0_3_3 = e23
% 10.44/3.05 |
% 10.44/3.05 | Instantiating formula (263) with e13, all_0_6_6, all_0_3_3 and discharging atoms h4(e13) = all_0_3_3, h4(e13) = all_0_6_6, yields:
% 10.44/3.05 | (690) all_0_3_3 = all_0_6_6
% 10.44/3.05 |
% 10.44/3.05 | Instantiating formula (263) with e10, all_0_0_0, e20 and discharging atoms h4(e10) = all_0_0_0, h4(e10) = e20, yields:
% 10.44/3.05 | (691) all_0_0_0 = e20
% 10.44/3.05 |
% 10.44/3.05 | Instantiating formula (263) with e10, all_0_9_9, all_0_0_0 and discharging atoms h4(e10) = all_0_0_0, h4(e10) = all_0_9_9, yields:
% 10.44/3.05 | (692) all_0_0_0 = all_0_9_9
% 10.44/3.05 |
% 10.44/3.05 | Combining equations (691,692) yields a new equation:
% 10.44/3.05 | (693) all_0_9_9 = e20
% 10.44/3.05 |
% 10.44/3.05 | Combining equations (690,689) yields a new equation:
% 10.44/3.05 | (694) all_0_6_6 = e23
% 10.44/3.05 |
% 10.44/3.05 | Simplifying 694 yields:
% 10.44/3.05 | (695) all_0_6_6 = e23
% 10.44/3.05 |
% 10.44/3.05 | Combining equations (693,692) yields a new equation:
% 10.44/3.05 | (691) all_0_0_0 = e20
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (326), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (697) ~ (all_0_0_0 = all_0_107_107)
% 10.44/3.05 |
% 10.44/3.05 | Equations (691,388) can reduce 697 to:
% 10.44/3.05 | (362) $false
% 10.44/3.05 |
% 10.44/3.05 |-The branch is then unsatisfiable
% 10.44/3.05 |-Branch two:
% 10.44/3.05 | (699) all_0_0_0 = all_0_107_107
% 10.44/3.05 | (700) ~ (all_0_1_1 = all_0_108_108) | ~ (all_0_2_2 = all_0_109_109) | ~ (all_0_3_3 = all_0_110_110) | ~ (all_0_4_4 = all_0_111_111) | ~ (all_0_5_5 = all_0_112_112) | ~ (all_0_6_6 = all_0_113_113) | ~ (all_0_7_7 = all_0_114_114) | ~ (all_0_8_8 = all_0_115_115) | ~ (all_0_9_9 = all_0_116_116)
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (700), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (701) ~ (all_0_1_1 = all_0_108_108)
% 10.44/3.05 |
% 10.44/3.05 | Equations (669,361) can reduce 701 to:
% 10.44/3.05 | (362) $false
% 10.44/3.05 |
% 10.44/3.05 |-The branch is then unsatisfiable
% 10.44/3.05 |-Branch two:
% 10.44/3.05 | (703) all_0_1_1 = all_0_108_108
% 10.44/3.05 | (704) ~ (all_0_2_2 = all_0_109_109) | ~ (all_0_3_3 = all_0_110_110) | ~ (all_0_4_4 = all_0_111_111) | ~ (all_0_5_5 = all_0_112_112) | ~ (all_0_6_6 = all_0_113_113) | ~ (all_0_7_7 = all_0_114_114) | ~ (all_0_8_8 = all_0_115_115) | ~ (all_0_9_9 = all_0_116_116)
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (704), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (705) ~ (all_0_2_2 = all_0_109_109)
% 10.44/3.05 |
% 10.44/3.05 | Equations (661,509) can reduce 705 to:
% 10.44/3.05 | (362) $false
% 10.44/3.05 |
% 10.44/3.05 |-The branch is then unsatisfiable
% 10.44/3.05 |-Branch two:
% 10.44/3.05 | (707) all_0_2_2 = all_0_109_109
% 10.44/3.05 | (708) ~ (all_0_3_3 = all_0_110_110) | ~ (all_0_4_4 = all_0_111_111) | ~ (all_0_5_5 = all_0_112_112) | ~ (all_0_6_6 = all_0_113_113) | ~ (all_0_7_7 = all_0_114_114) | ~ (all_0_8_8 = all_0_115_115) | ~ (all_0_9_9 = all_0_116_116)
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (708), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (709) ~ (all_0_3_3 = all_0_110_110)
% 10.44/3.05 |
% 10.44/3.05 | Equations (689,400) can reduce 709 to:
% 10.44/3.05 | (362) $false
% 10.44/3.05 |
% 10.44/3.05 |-The branch is then unsatisfiable
% 10.44/3.05 |-Branch two:
% 10.44/3.05 | (711) all_0_3_3 = all_0_110_110
% 10.44/3.05 | (712) ~ (all_0_4_4 = all_0_111_111) | ~ (all_0_5_5 = all_0_112_112) | ~ (all_0_6_6 = all_0_113_113) | ~ (all_0_7_7 = all_0_114_114) | ~ (all_0_8_8 = all_0_115_115) | ~ (all_0_9_9 = all_0_116_116)
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (712), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (713) ~ (all_0_4_4 = all_0_111_111)
% 10.44/3.05 |
% 10.44/3.05 | Equations (658,438) can reduce 713 to:
% 10.44/3.05 | (362) $false
% 10.44/3.05 |
% 10.44/3.05 |-The branch is then unsatisfiable
% 10.44/3.05 |-Branch two:
% 10.44/3.05 | (715) all_0_4_4 = all_0_111_111
% 10.44/3.05 | (716) ~ (all_0_5_5 = all_0_112_112) | ~ (all_0_6_6 = all_0_113_113) | ~ (all_0_7_7 = all_0_114_114) | ~ (all_0_8_8 = all_0_115_115) | ~ (all_0_9_9 = all_0_116_116)
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (716), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (717) ~ (all_0_5_5 = all_0_112_112)
% 10.44/3.05 |
% 10.44/3.05 | Equations (657,444) can reduce 717 to:
% 10.44/3.05 | (362) $false
% 10.44/3.05 |
% 10.44/3.05 |-The branch is then unsatisfiable
% 10.44/3.05 |-Branch two:
% 10.44/3.05 | (719) all_0_5_5 = all_0_112_112
% 10.44/3.05 | (720) ~ (all_0_6_6 = all_0_113_113) | ~ (all_0_7_7 = all_0_114_114) | ~ (all_0_8_8 = all_0_115_115) | ~ (all_0_9_9 = all_0_116_116)
% 10.44/3.05 |
% 10.44/3.05 +-Applying beta-rule and splitting (720), into two cases.
% 10.44/3.05 |-Branch one:
% 10.44/3.05 | (721) ~ (all_0_6_6 = all_0_113_113)
% 10.44/3.06 |
% 10.44/3.06 | Equations (695,479) can reduce 721 to:
% 10.44/3.06 | (362) $false
% 10.44/3.06 |
% 10.44/3.06 |-The branch is then unsatisfiable
% 10.44/3.06 |-Branch two:
% 10.44/3.06 | (723) all_0_6_6 = all_0_113_113
% 10.44/3.06 | (724) ~ (all_0_7_7 = all_0_114_114) | ~ (all_0_8_8 = all_0_115_115) | ~ (all_0_9_9 = all_0_116_116)
% 10.44/3.06 |
% 10.44/3.06 +-Applying beta-rule and splitting (724), into two cases.
% 10.44/3.06 |-Branch one:
% 10.44/3.06 | (725) ~ (all_0_7_7 = all_0_114_114)
% 10.92/3.06 |
% 10.92/3.06 | Equations (665,526) can reduce 725 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (727) all_0_7_7 = all_0_114_114
% 10.92/3.06 | (728) ~ (all_0_8_8 = all_0_115_115) | ~ (all_0_9_9 = all_0_116_116)
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (728), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (729) ~ (all_0_8_8 = all_0_115_115)
% 10.92/3.06 |
% 10.92/3.06 | Equations (667,370) can reduce 729 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (731) all_0_8_8 = all_0_115_115
% 10.92/3.06 | (732) ~ (all_0_9_9 = all_0_116_116)
% 10.92/3.06 |
% 10.92/3.06 | Equations (693,382) can reduce 732 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (734) ~ (all_0_117_117 = e10)
% 10.92/3.06 | (735) all_0_123_123 = e10
% 10.92/3.06 |
% 10.92/3.06 | Combining equations (672,735) yields a new equation:
% 10.92/3.06 | (736) e13 = e10
% 10.92/3.06 |
% 10.92/3.06 | Simplifying 736 yields:
% 10.92/3.06 | (737) e13 = e10
% 10.92/3.06 |
% 10.92/3.06 | Equations (737) can reduce 168 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (739) ~ (all_0_120_120 = e13)
% 10.92/3.06 | (680) all_0_126_126 = e13
% 10.92/3.06 |
% 10.92/3.06 | Equations (680) can reduce 671 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (742) ~ (all_0_123_123 = e13)
% 10.92/3.06 | (743) all_0_124_124 = e13 | all_0_126_126 = e13
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (191), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (676) all_0_120_120 = e13
% 10.92/3.06 |
% 10.92/3.06 | Equations (676) can reduce 3 to:
% 10.92/3.06 | (745) ~ (all_0_117_117 = e13)
% 10.92/3.06 |
% 10.92/3.06 | Equations (676) can reduce 142 to:
% 10.92/3.06 | (673) ~ (all_0_126_126 = e13)
% 10.92/3.06 |
% 10.92/3.06 | Simplifying 673 yields:
% 10.92/3.06 | (671) ~ (all_0_126_126 = e13)
% 10.92/3.06 |
% 10.92/3.06 | Equations (676) can reduce 9 to:
% 10.92/3.06 | (314) ~ (e13 = e11)
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (86), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (680) all_0_126_126 = e13
% 10.92/3.06 |
% 10.92/3.06 | Equations (680) can reduce 671 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (671) ~ (all_0_126_126 = e13)
% 10.92/3.06 | (683) all_0_126_126 = e10
% 10.92/3.06 |
% 10.92/3.06 | Equations (683) can reduce 16 to:
% 10.92/3.06 | (753) ~ (all_0_123_123 = e10)
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (270), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (754) all_0_117_117 = e13
% 10.92/3.06 |
% 10.92/3.06 | Equations (754) can reduce 745 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (745) ~ (all_0_117_117 = e13)
% 10.92/3.06 | (757) all_0_121_121 = e13 | all_0_123_123 = e13
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (10), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (687) all_0_117_117 = e10
% 10.92/3.06 |
% 10.92/3.06 | Equations (687) can reduce 745 to:
% 10.92/3.06 | (684) ~ (e13 = e10)
% 10.92/3.06 |
% 10.92/3.06 | Simplifying 684 yields:
% 10.92/3.06 | (168) ~ (e13 = e10)
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (743), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (761) all_0_124_124 = e13
% 10.92/3.06 |
% 10.92/3.06 | Combining equations (651,761) yields a new equation:
% 10.92/3.06 | (762) e13 = e11
% 10.92/3.06 |
% 10.92/3.06 | Equations (762) can reduce 314 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (764) ~ (all_0_124_124 = e13)
% 10.92/3.06 | (680) all_0_126_126 = e13
% 10.92/3.06 |
% 10.92/3.06 | Combining equations (683,680) yields a new equation:
% 10.92/3.06 | (737) e13 = e10
% 10.92/3.06 |
% 10.92/3.06 | Equations (737) can reduce 168 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (734) ~ (all_0_117_117 = e10)
% 10.92/3.06 | (735) all_0_123_123 = e10
% 10.92/3.06 |
% 10.92/3.06 | Equations (735) can reduce 753 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (739) ~ (all_0_120_120 = e13)
% 10.92/3.06 | (680) all_0_126_126 = e13
% 10.92/3.06 |
% 10.92/3.06 | Equations (680) can reduce 671 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (680) all_0_126_126 = e13
% 10.92/3.06 | (735) all_0_123_123 = e10
% 10.92/3.06 |
% 10.92/3.06 | Equations (680) can reduce 142 to:
% 10.92/3.06 | (739) ~ (all_0_120_120 = e13)
% 10.92/3.06 |
% 10.92/3.06 | Equations (680) can reduce 329 to:
% 10.92/3.06 | (260) ~ (e13 = e12)
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (43), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (676) all_0_120_120 = e13
% 10.92/3.06 |
% 10.92/3.06 | Equations (676) can reduce 739 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (739) ~ (all_0_120_120 = e13)
% 10.92/3.06 | (781) all_0_120_120 = e10
% 10.92/3.06 |
% 10.92/3.06 | Equations (781) can reduce 739 to:
% 10.92/3.06 | (684) ~ (e13 = e10)
% 10.92/3.06 |
% 10.92/3.06 | Simplifying 684 yields:
% 10.92/3.06 | (168) ~ (e13 = e10)
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (171), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (754) all_0_117_117 = e13
% 10.92/3.06 |
% 10.92/3.06 | Combining equations (754,654) yields a new equation:
% 10.92/3.06 | (785) all_0_102_102 = e13
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (335), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (786) ( ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)) | ( ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11)) | ( ~ (all_0_103_103 = all_0_123_123) & ~ (all_0_104_104 = all_0_124_124) & ~ (all_0_105_105 = all_0_125_125) & ~ (all_0_106_106 = all_0_126_126))
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (786), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (787) ( ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)) | ( ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11))
% 10.92/3.06 |
% 10.92/3.06 +-Applying beta-rule and splitting (787), into two cases.
% 10.92/3.06 |-Branch one:
% 10.92/3.06 | (788) ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)
% 10.92/3.06 |
% 10.92/3.06 | Applying alpha-rule on (788) yields:
% 10.92/3.06 | (789) ~ (all_0_97_97 = all_0_117_117)
% 10.92/3.06 | (790) ~ (all_0_98_98 = all_0_118_118)
% 10.92/3.06 | (791) ~ (all_0_99_99 = all_0_119_119)
% 10.92/3.06 | (792) ~ (all_0_100_100 = all_0_120_120)
% 10.92/3.06 |
% 10.92/3.06 | Equations (655,616) can reduce 790 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.06 |-The branch is then unsatisfiable
% 10.92/3.06 |-Branch two:
% 10.92/3.06 | (794) ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11)
% 10.92/3.06 |
% 10.92/3.06 | Applying alpha-rule on (794) yields:
% 10.92/3.06 | (795) ~ (all_0_101_101 = all_0_121_121)
% 10.92/3.06 | (796) ~ (all_0_102_102 = all_0_122_122)
% 10.92/3.06 | (797) ~ (all_0_125_125 = e11)
% 10.92/3.06 |
% 10.92/3.06 | Equations (785,635) can reduce 796 to:
% 10.92/3.06 | (362) $false
% 10.92/3.06 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (799) ~ (all_0_103_103 = all_0_123_123) & ~ (all_0_104_104 = all_0_124_124) & ~ (all_0_105_105 = all_0_125_125) & ~ (all_0_106_106 = all_0_126_126)
% 10.92/3.07 |
% 10.92/3.07 | Applying alpha-rule on (799) yields:
% 10.92/3.07 | (800) ~ (all_0_103_103 = all_0_123_123)
% 10.92/3.07 | (801) ~ (all_0_104_104 = all_0_124_124)
% 10.92/3.07 | (802) ~ (all_0_105_105 = all_0_125_125)
% 10.92/3.07 | (803) ~ (all_0_106_106 = all_0_126_126)
% 10.92/3.07 |
% 10.92/3.07 | Equations (656,651) can reduce 801 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (805) ~ (all_0_120_120 = e10) & ~ (all_0_121_121 = e13) & ~ (all_0_124_124 = e12)
% 10.92/3.07 |
% 10.92/3.07 | Applying alpha-rule on (805) yields:
% 10.92/3.07 | (806) ~ (all_0_120_120 = e10)
% 10.92/3.07 | (807) ~ (all_0_121_121 = e13)
% 10.92/3.07 | (808) ~ (all_0_124_124 = e12)
% 10.92/3.07 |
% 10.92/3.07 | Equations (781) can reduce 806 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (745) ~ (all_0_117_117 = e13)
% 10.92/3.07 | (811) all_0_118_118 = e13 | all_0_120_120 = e13
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (811), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (812) all_0_118_118 = e13
% 10.92/3.07 |
% 10.92/3.07 | Combining equations (812,616) yields a new equation:
% 10.92/3.07 | (813) e13 = e12
% 10.92/3.07 |
% 10.92/3.07 | Simplifying 813 yields:
% 10.92/3.07 | (814) e13 = e12
% 10.92/3.07 |
% 10.92/3.07 | Equations (814) can reduce 260 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (816) ~ (all_0_118_118 = e13)
% 10.92/3.07 | (676) all_0_120_120 = e13
% 10.92/3.07 |
% 10.92/3.07 | Combining equations (781,676) yields a new equation:
% 10.92/3.07 | (737) e13 = e10
% 10.92/3.07 |
% 10.92/3.07 | Equations (737) can reduce 168 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (820) ~ (all_0_124_124 = e11)
% 10.92/3.07 | (821) all_0_125_125 = e11
% 10.92/3.07 |
% 10.92/3.07 | Combining equations (821,627) yields a new equation:
% 10.92/3.07 | (822) e12 = e11
% 10.92/3.07 |
% 10.92/3.07 | Equations (822) can reduce 288 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (824) ~ (all_0_121_121 = e12)
% 10.92/3.07 | (632) all_0_122_122 = e12
% 10.92/3.07 |
% 10.92/3.07 | Combining equations (635,632) yields a new equation:
% 10.92/3.07 | (813) e13 = e12
% 10.92/3.07 |
% 10.92/3.07 | Simplifying 813 yields:
% 10.92/3.07 | (814) e13 = e12
% 10.92/3.07 |
% 10.92/3.07 | Equations (814) can reduce 260 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (829) ~ (all_0_118_118 = e12)
% 10.92/3.07 | (683) all_0_126_126 = e10
% 10.92/3.07 |
% 10.92/3.07 | Equations (683) can reduce 142 to:
% 10.92/3.07 | (806) ~ (all_0_120_120 = e10)
% 10.92/3.07 |
% 10.92/3.07 | Equations (683) can reduce 329 to:
% 10.92/3.07 | (832) ~ (e12 = e10)
% 10.92/3.07 |
% 10.92/3.07 | Simplifying 832 yields:
% 10.92/3.07 | (134) ~ (e12 = e10)
% 10.92/3.07 |
% 10.92/3.07 | From (683) and (254) follows:
% 10.92/3.07 | (834) op1(e10, e10) = all_0_106_106
% 10.92/3.07 |
% 10.92/3.07 | From (683) and (299) follows:
% 10.92/3.07 | (835) op1(e10, e10) = e10
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (43), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (676) all_0_120_120 = e13
% 10.92/3.07 |
% 10.92/3.07 | Equations (676) can reduce 127 to:
% 10.92/3.07 | (225) ~ (all_0_119_119 = e13)
% 10.92/3.07 |
% 10.92/3.07 | Equations (676) can reduce 806 to:
% 10.92/3.07 | (168) ~ (e13 = e10)
% 10.92/3.07 |
% 10.92/3.07 | From (676) and (145) follows:
% 10.92/3.07 | (839) op1(e10, e13) = all_0_100_100
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (113), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (687) all_0_117_117 = e10
% 10.92/3.07 |
% 10.92/3.07 | Equations (687) can reduce 294 to:
% 10.92/3.07 | (841) ~ (all_0_123_123 = e10)
% 10.92/3.07 |
% 10.92/3.07 | Simplifying 841 yields:
% 10.92/3.07 | (753) ~ (all_0_123_123 = e10)
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (279), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (843) all_0_117_117 = e12
% 10.92/3.07 |
% 10.92/3.07 | Combining equations (687,843) yields a new equation:
% 10.92/3.07 | (844) e12 = e10
% 10.92/3.07 |
% 10.92/3.07 | Equations (844) can reduce 134 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (846) ~ (all_0_117_117 = e12)
% 10.92/3.07 | (847) all_0_118_118 = e12 | all_0_119_119 = e12
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (847), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (616) all_0_118_118 = e12
% 10.92/3.07 |
% 10.92/3.07 | Equations (616) can reduce 829 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (829) ~ (all_0_118_118 = e12)
% 10.92/3.07 | (624) all_0_119_119 = e12
% 10.92/3.07 |
% 10.92/3.07 | Equations (624) can reduce 198 to:
% 10.92/3.07 | (852) ~ (all_0_125_125 = e12)
% 10.92/3.07 |
% 10.92/3.07 | Simplifying 852 yields:
% 10.92/3.07 | (853) ~ (all_0_125_125 = e12)
% 10.92/3.07 |
% 10.92/3.07 | Equations (624) can reduce 225 to:
% 10.92/3.07 | (854) ~ (e13 = e12)
% 10.92/3.07 |
% 10.92/3.07 | Simplifying 854 yields:
% 10.92/3.07 | (260) ~ (e13 = e12)
% 10.92/3.07 |
% 10.92/3.07 | From (624) and (19) follows:
% 10.92/3.07 | (856) op1(e11, e12) = all_0_99_99
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (103), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (627) all_0_125_125 = e12
% 10.92/3.07 |
% 10.92/3.07 | Equations (627) can reduce 853 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (853) ~ (all_0_125_125 = e12)
% 10.92/3.07 | (821) all_0_125_125 = e11
% 10.92/3.07 |
% 10.92/3.07 | Equations (821) can reduce 853 to:
% 10.92/3.07 | (647) ~ (e12 = e11)
% 10.92/3.07 |
% 10.92/3.07 | Simplifying 647 yields:
% 10.92/3.07 | (288) ~ (e12 = e11)
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (148), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (863) all_0_118_118 = e11
% 10.92/3.07 |
% 10.92/3.07 | Equations (863) can reduce 26 to:
% 10.92/3.07 | (864) ~ (all_0_124_124 = e11)
% 10.92/3.07 |
% 10.92/3.07 | Simplifying 864 yields:
% 10.92/3.07 | (820) ~ (all_0_124_124 = e11)
% 10.92/3.07 |
% 10.92/3.07 | Instantiating formula (52) with e11, e12, all_0_99_99, all_0_122_122 and discharging atoms op1(e11, e12) = all_0_99_99, op1(e11, e12) = all_0_122_122, yields:
% 10.92/3.07 | (866) all_0_99_99 = all_0_122_122
% 10.92/3.07 |
% 10.92/3.07 | Instantiating formula (52) with e10, e13, all_0_100_100, all_0_123_123 and discharging atoms op1(e10, e13) = all_0_100_100, op1(e10, e13) = all_0_123_123, yields:
% 10.92/3.07 | (867) all_0_100_100 = all_0_123_123
% 10.92/3.07 |
% 10.92/3.07 | Instantiating formula (52) with e10, e10, e10, all_0_106_106 and discharging atoms op1(e10, e10) = all_0_106_106, op1(e10, e10) = e10, yields:
% 10.92/3.07 | (868) all_0_106_106 = e10
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (7), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (869) all_0_121_121 = e13
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (201), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (639) all_0_121_121 = e12
% 10.92/3.07 |
% 10.92/3.07 | Combining equations (869,639) yields a new equation:
% 10.92/3.07 | (813) e13 = e12
% 10.92/3.07 |
% 10.92/3.07 | Simplifying 813 yields:
% 10.92/3.07 | (814) e13 = e12
% 10.92/3.07 |
% 10.92/3.07 | Equations (814) can reduce 260 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (824) ~ (all_0_121_121 = e12)
% 10.92/3.07 | (632) all_0_122_122 = e12
% 10.92/3.07 |
% 10.92/3.07 | Combining equations (632,866) yields a new equation:
% 10.92/3.07 | (876) all_0_99_99 = e12
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (335), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (786) ( ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)) | ( ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11)) | ( ~ (all_0_103_103 = all_0_123_123) & ~ (all_0_104_104 = all_0_124_124) & ~ (all_0_105_105 = all_0_125_125) & ~ (all_0_106_106 = all_0_126_126))
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (786), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (787) ( ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)) | ( ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11))
% 10.92/3.07 |
% 10.92/3.07 +-Applying beta-rule and splitting (787), into two cases.
% 10.92/3.07 |-Branch one:
% 10.92/3.07 | (788) ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)
% 10.92/3.07 |
% 10.92/3.07 | Applying alpha-rule on (788) yields:
% 10.92/3.07 | (789) ~ (all_0_97_97 = all_0_117_117)
% 10.92/3.07 | (790) ~ (all_0_98_98 = all_0_118_118)
% 10.92/3.07 | (791) ~ (all_0_99_99 = all_0_119_119)
% 10.92/3.07 | (792) ~ (all_0_100_100 = all_0_120_120)
% 10.92/3.07 |
% 10.92/3.07 | Equations (876,624) can reduce 791 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (794) ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11)
% 10.92/3.07 |
% 10.92/3.07 | Applying alpha-rule on (794) yields:
% 10.92/3.07 | (795) ~ (all_0_101_101 = all_0_121_121)
% 10.92/3.07 | (796) ~ (all_0_102_102 = all_0_122_122)
% 10.92/3.07 | (797) ~ (all_0_125_125 = e11)
% 10.92/3.07 |
% 10.92/3.07 | Equations (821) can reduce 797 to:
% 10.92/3.07 | (362) $false
% 10.92/3.07 |
% 10.92/3.07 |-The branch is then unsatisfiable
% 10.92/3.07 |-Branch two:
% 10.92/3.07 | (799) ~ (all_0_103_103 = all_0_123_123) & ~ (all_0_104_104 = all_0_124_124) & ~ (all_0_105_105 = all_0_125_125) & ~ (all_0_106_106 = all_0_126_126)
% 10.92/3.07 |
% 10.92/3.07 | Applying alpha-rule on (799) yields:
% 10.92/3.07 | (800) ~ (all_0_103_103 = all_0_123_123)
% 10.92/3.08 | (801) ~ (all_0_104_104 = all_0_124_124)
% 10.92/3.08 | (802) ~ (all_0_105_105 = all_0_125_125)
% 10.92/3.08 | (803) ~ (all_0_106_106 = all_0_126_126)
% 10.92/3.08 |
% 10.92/3.08 | Equations (868,683) can reduce 803 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (805) ~ (all_0_120_120 = e10) & ~ (all_0_121_121 = e13) & ~ (all_0_124_124 = e12)
% 10.92/3.08 |
% 10.92/3.08 | Applying alpha-rule on (805) yields:
% 10.92/3.08 | (806) ~ (all_0_120_120 = e10)
% 10.92/3.08 | (807) ~ (all_0_121_121 = e13)
% 10.92/3.08 | (808) ~ (all_0_124_124 = e12)
% 10.92/3.08 |
% 10.92/3.08 | Equations (869) can reduce 807 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (807) ~ (all_0_121_121 = e13)
% 10.92/3.08 | (635) all_0_122_122 = e13
% 10.92/3.08 |
% 10.92/3.08 | Equations (635) can reduce 39 to:
% 10.92/3.08 | (807) ~ (all_0_121_121 = e13)
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (247), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (639) all_0_121_121 = e12
% 10.92/3.08 |
% 10.92/3.08 | Equations (639) can reduce 95 to:
% 10.92/3.08 | (905) ~ (all_0_123_123 = e12)
% 10.92/3.08 |
% 10.92/3.08 | Simplifying 905 yields:
% 10.92/3.08 | (906) ~ (all_0_123_123 = e12)
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (318), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (672) all_0_123_123 = e13
% 10.92/3.08 |
% 10.92/3.08 | Combining equations (672,867) yields a new equation:
% 10.92/3.08 | (908) all_0_100_100 = e13
% 10.92/3.08 |
% 10.92/3.08 | Equations (672) can reduce 215 to:
% 10.92/3.08 | (909) ~ (all_0_124_124 = e13)
% 10.92/3.08 |
% 10.92/3.08 | Simplifying 909 yields:
% 10.92/3.08 | (764) ~ (all_0_124_124 = e13)
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (73), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (911) all_0_124_124 = e12
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (335), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (786) ( ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)) | ( ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11)) | ( ~ (all_0_103_103 = all_0_123_123) & ~ (all_0_104_104 = all_0_124_124) & ~ (all_0_105_105 = all_0_125_125) & ~ (all_0_106_106 = all_0_126_126))
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (786), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (787) ( ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)) | ( ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11))
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (787), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (788) ~ (all_0_97_97 = all_0_117_117) & ~ (all_0_98_98 = all_0_118_118) & ~ (all_0_99_99 = all_0_119_119) & ~ (all_0_100_100 = all_0_120_120)
% 10.92/3.08 |
% 10.92/3.08 | Applying alpha-rule on (788) yields:
% 10.92/3.08 | (789) ~ (all_0_97_97 = all_0_117_117)
% 10.92/3.08 | (790) ~ (all_0_98_98 = all_0_118_118)
% 10.92/3.08 | (791) ~ (all_0_99_99 = all_0_119_119)
% 10.92/3.08 | (792) ~ (all_0_100_100 = all_0_120_120)
% 10.92/3.08 |
% 10.92/3.08 | Equations (908,676) can reduce 792 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (794) ~ (all_0_101_101 = all_0_121_121) & ~ (all_0_102_102 = all_0_122_122) & ~ (all_0_125_125 = e11)
% 10.92/3.08 |
% 10.92/3.08 | Applying alpha-rule on (794) yields:
% 10.92/3.08 | (795) ~ (all_0_101_101 = all_0_121_121)
% 10.92/3.08 | (796) ~ (all_0_102_102 = all_0_122_122)
% 10.92/3.08 | (797) ~ (all_0_125_125 = e11)
% 10.92/3.08 |
% 10.92/3.08 | Equations (821) can reduce 797 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (799) ~ (all_0_103_103 = all_0_123_123) & ~ (all_0_104_104 = all_0_124_124) & ~ (all_0_105_105 = all_0_125_125) & ~ (all_0_106_106 = all_0_126_126)
% 10.92/3.08 |
% 10.92/3.08 | Applying alpha-rule on (799) yields:
% 10.92/3.08 | (800) ~ (all_0_103_103 = all_0_123_123)
% 10.92/3.08 | (801) ~ (all_0_104_104 = all_0_124_124)
% 10.92/3.08 | (802) ~ (all_0_105_105 = all_0_125_125)
% 10.92/3.08 | (803) ~ (all_0_106_106 = all_0_126_126)
% 10.92/3.08 |
% 10.92/3.08 | Equations (868,683) can reduce 803 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (805) ~ (all_0_120_120 = e10) & ~ (all_0_121_121 = e13) & ~ (all_0_124_124 = e12)
% 10.92/3.08 |
% 10.92/3.08 | Applying alpha-rule on (805) yields:
% 10.92/3.08 | (806) ~ (all_0_120_120 = e10)
% 10.92/3.08 | (807) ~ (all_0_121_121 = e13)
% 10.92/3.08 | (808) ~ (all_0_124_124 = e12)
% 10.92/3.08 |
% 10.92/3.08 | Equations (911) can reduce 808 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (808) ~ (all_0_124_124 = e12)
% 10.92/3.08 | (937) all_0_124_124 = e13 | all_0_124_124 = e11
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (937), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (761) all_0_124_124 = e13
% 10.92/3.08 |
% 10.92/3.08 | Equations (761) can reduce 764 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (764) ~ (all_0_124_124 = e13)
% 10.92/3.08 | (651) all_0_124_124 = e11
% 10.92/3.08 |
% 10.92/3.08 | Equations (651) can reduce 820 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (742) ~ (all_0_123_123 = e13)
% 10.92/3.08 | (743) all_0_124_124 = e13 | all_0_126_126 = e13
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (202), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (945) all_0_123_123 = e12
% 10.92/3.08 |
% 10.92/3.08 | Equations (945) can reduce 906 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (906) ~ (all_0_123_123 = e12)
% 10.92/3.08 | (948) all_0_123_123 = e13 | all_0_123_123 = e10
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (948), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (672) all_0_123_123 = e13
% 10.92/3.08 |
% 10.92/3.08 | Equations (672) can reduce 742 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (742) ~ (all_0_123_123 = e13)
% 10.92/3.08 | (735) all_0_123_123 = e10
% 10.92/3.08 |
% 10.92/3.08 | Equations (735) can reduce 753 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (824) ~ (all_0_121_121 = e12)
% 10.92/3.08 | (869) all_0_121_121 = e13
% 10.92/3.08 |
% 10.92/3.08 | Equations (869) can reduce 807 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (957) ~ (all_0_118_118 = e11)
% 10.92/3.08 | (644) all_0_119_119 = e11
% 10.92/3.08 |
% 10.92/3.08 | Combining equations (624,644) yields a new equation:
% 10.92/3.08 | (959) e12 = e11
% 10.92/3.08 |
% 10.92/3.08 | Simplifying 959 yields:
% 10.92/3.08 | (822) e12 = e11
% 10.92/3.08 |
% 10.92/3.08 | Equations (822) can reduce 288 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (734) ~ (all_0_117_117 = e10)
% 10.92/3.08 | (781) all_0_120_120 = e10
% 10.92/3.08 |
% 10.92/3.08 | Combining equations (781,676) yields a new equation:
% 10.92/3.08 | (737) e13 = e10
% 10.92/3.08 |
% 10.92/3.08 | Equations (737) can reduce 168 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (739) ~ (all_0_120_120 = e13)
% 10.92/3.08 | (781) all_0_120_120 = e10
% 10.92/3.08 |
% 10.92/3.08 | Equations (781) can reduce 806 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (475) ~ (all_0_113_113 = e23)
% 10.92/3.08 | (970) all_0_114_114 = e23 | all_0_116_116 = e23
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (970), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (971) all_0_114_114 = e23
% 10.92/3.08 |
% 10.92/3.08 | Combining equations (971,526) yields a new equation:
% 10.92/3.08 | (972) e23 = e21
% 10.92/3.08 |
% 10.92/3.08 | Simplifying 972 yields:
% 10.92/3.08 | (397) e23 = e21
% 10.92/3.08 |
% 10.92/3.08 | Equations (397) can reduce 251 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (975) ~ (all_0_114_114 = e23)
% 10.92/3.08 | (558) all_0_116_116 = e23
% 10.92/3.08 |
% 10.92/3.08 | Combining equations (382,558) yields a new equation:
% 10.92/3.08 | (392) e23 = e20
% 10.92/3.08 |
% 10.92/3.08 | Equations (392) can reduce 239 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (502) ~ (all_0_107_107 = e20)
% 10.92/3.08 | (476) all_0_113_113 = e20
% 10.92/3.08 |
% 10.92/3.08 | Equations (476) can reduce 383 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (554) ~ (all_0_116_116 = e20)
% 10.92/3.08 | (558) all_0_116_116 = e23
% 10.92/3.08 |
% 10.92/3.08 | Equations (558) can reduce 561 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (356) ~ (all_0_108_108 = e22)
% 10.92/3.08 | (364) all_0_108_108 = e23 | all_0_108_108 = e21
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (364), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (365) all_0_108_108 = e23
% 10.92/3.08 |
% 10.92/3.08 | Equations (365) can reduce 360 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (360) ~ (all_0_108_108 = e23)
% 10.92/3.08 | (368) all_0_108_108 = e21
% 10.92/3.08 |
% 10.92/3.08 | Equations (368) can reduce 510 to:
% 10.92/3.08 | (362) $false
% 10.92/3.08 |
% 10.92/3.08 |-The branch is then unsatisfiable
% 10.92/3.08 |-Branch two:
% 10.92/3.08 | (414) ~ (all_0_111_111 = e22)
% 10.92/3.08 | (412) all_0_112_112 = e22
% 10.92/3.08 |
% 10.92/3.08 | Equations (412) can reduce 222 to:
% 10.92/3.08 | (356) ~ (all_0_108_108 = e22)
% 10.92/3.08 |
% 10.92/3.08 | Equations (412) can reduce 33 to:
% 10.92/3.08 | (414) ~ (all_0_111_111 = e22)
% 10.92/3.08 |
% 10.92/3.08 +-Applying beta-rule and splitting (177), into two cases.
% 10.92/3.08 |-Branch one:
% 10.92/3.08 | (361) all_0_108_108 = e22
% 10.92/3.09 |
% 10.92/3.09 | Equations (361) can reduce 356 to:
% 10.92/3.09 | (362) $false
% 10.92/3.09 |
% 10.92/3.09 |-The branch is then unsatisfiable
% 10.92/3.09 |-Branch two:
% 10.92/3.09 | (356) ~ (all_0_108_108 = e22)
% 10.92/3.09 | (382) all_0_116_116 = e20
% 10.92/3.09 |
% 10.92/3.09 | Equations (382) can reduce 63 to:
% 10.92/3.09 | (435) ~ (all_0_110_110 = e20)
% 10.92/3.09 |
% 10.92/3.09 +-Applying beta-rule and splitting (144), into two cases.
% 10.92/3.09 |-Branch one:
% 10.92/3.09 | (552) all_0_110_110 = e20
% 10.92/3.09 |
% 10.92/3.09 | Equations (552) can reduce 435 to:
% 10.92/3.09 | (362) $false
% 10.92/3.09 |
% 10.92/3.09 |-The branch is then unsatisfiable
% 10.92/3.09 |-Branch two:
% 10.92/3.09 | (435) ~ (all_0_110_110 = e20)
% 10.92/3.09 | (400) all_0_110_110 = e23
% 10.92/3.09 |
% 10.92/3.09 | Equations (400) can reduce 152 to:
% 10.92/3.09 | (360) ~ (all_0_108_108 = e23)
% 10.92/3.09 |
% 10.92/3.09 +-Applying beta-rule and splitting (269), into two cases.
% 10.92/3.09 |-Branch one:
% 10.92/3.09 | (438) all_0_111_111 = e22
% 10.92/3.09 |
% 10.92/3.09 | Equations (438) can reduce 414 to:
% 10.92/3.09 | (362) $false
% 10.92/3.09 |
% 10.92/3.09 |-The branch is then unsatisfiable
% 10.92/3.09 |-Branch two:
% 10.92/3.09 | (414) ~ (all_0_111_111 = e22)
% 10.92/3.09 | (441) all_0_111_111 = e23
% 10.92/3.09 |
% 10.92/3.09 | Equations (441) can reduce 414 to:
% 10.92/3.09 | (23) ~ (e23 = e22)
% 10.92/3.09 |
% 10.92/3.09 | Equations (441) can reduce 6 to:
% 10.92/3.09 | (251) ~ (e23 = e21)
% 10.92/3.09 |
% 10.92/3.09 +-Applying beta-rule and splitting (245), into two cases.
% 10.92/3.09 |-Branch one:
% 10.92/3.09 | (365) all_0_108_108 = e23
% 10.92/3.09 |
% 10.92/3.09 | Equations (365) can reduce 360 to:
% 10.92/3.09 | (362) $false
% 10.92/3.09 |
% 10.92/3.09 |-The branch is then unsatisfiable
% 10.92/3.09 |-Branch two:
% 10.92/3.09 | (360) ~ (all_0_108_108 = e23)
% 10.92/3.09 | (1015) all_0_112_112 = e23 | all_0_114_114 = e23
% 10.92/3.09 |
% 10.92/3.09 +-Applying beta-rule and splitting (1015), into two cases.
% 10.92/3.09 |-Branch one:
% 10.92/3.09 | (444) all_0_112_112 = e23
% 10.92/3.09 |
% 10.92/3.09 | Combining equations (444,412) yields a new equation:
% 10.92/3.09 | (463) e23 = e22
% 10.92/3.09 |
% 10.92/3.09 | Simplifying 463 yields:
% 10.92/3.09 | (464) e23 = e22
% 10.92/3.09 |
% 10.92/3.09 | Equations (464) can reduce 23 to:
% 10.92/3.09 | (362) $false
% 10.92/3.09 |
% 10.92/3.09 |-The branch is then unsatisfiable
% 10.92/3.09 |-Branch two:
% 10.92/3.09 | (1020) ~ (all_0_112_112 = e23)
% 10.92/3.09 | (971) all_0_114_114 = e23
% 10.92/3.09 |
% 10.92/3.09 | Combining equations (526,971) yields a new equation:
% 10.92/3.09 | (397) e23 = e21
% 10.92/3.09 |
% 10.92/3.09 | Equations (397) can reduce 251 to:
% 10.92/3.09 | (362) $false
% 10.92/3.09 |
% 10.92/3.09 |-The branch is then unsatisfiable
% 10.92/3.09 % SZS output end Proof for theBenchmark
% 10.92/3.09
% 10.92/3.09 2482ms
%------------------------------------------------------------------------------