%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : LAT289+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n020.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 : Sun Jul 17 04:32:28 EDT 2022 % Result : Theorem 5.87s 1.92s % Output : Proof 8.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : LAT289+1 : TPTP v8.1.0. Released v3.4.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n020.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Wed Jun 29 19:18:01 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.56 ____ _ % 0.19/0.56 ___ / __ \_____(_)___ ________ __________ % 0.19/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.56 % 0.19/0.56 A Theorem Prover for First-Order Logic % 0.19/0.56 (ePrincess v.1.0) % 0.19/0.56 % 0.19/0.56 (c) Philipp Rümmer, 2009-2015 % 0.19/0.56 (c) Peter Backeman, 2014-2015 % 0.19/0.56 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.56 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.56 Bug reports to peter@backeman.se % 0.19/0.56 % 0.19/0.56 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.56 % 0.19/0.56 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.65/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.07/1.03 Prover 0: Preprocessing ... % 3.64/1.41 Prover 0: Warning: ignoring some quantifiers % 3.64/1.45 Prover 0: Constructing countermodel ... % 5.87/1.92 Prover 0: proved (1301ms) % 5.87/1.92 % 5.87/1.92 No countermodel exists, formula is valid % 5.87/1.92 % SZS status Theorem for theBenchmark % 5.87/1.92 % 5.87/1.92 Generating proof ... Warning: ignoring some quantifiers % 8.53/2.52 found it (size 88) % 8.53/2.52 % 8.53/2.52 % SZS output start Proof for theBenchmark % 8.53/2.52 Assumed formulas after preprocessing and simplification: % 8.53/2.52 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k7_lopclset(v0) = v2 & k9_lopclset(v0) = v4 & k8_funct_2(v1, v3, v4, v5) = v6 & u1_struct_0(v0) = v1 & k1_zfmisc_1(v2) = v3 & l2_lattices(v10) & l1_struct_0(v11) & l1_struct_0(v9) & l1_lattices(v12) & v16_lattices(v14) & v15_lattices(v14) & v14_lattices(v14) & v13_lattices(v14) & v12_lattices(v14) & v11_lattices(v14) & v9_lattices(v14) & v8_lattices(v14) & v7_lattices(v14) & v6_lattices(v14) & v5_lattices(v14) & v4_lattices(v14) & v1_xboole_0(k1_xboole_0) & v1_finset_1(v15) & v5_membered(v13) & v5_membered(k1_xboole_0) & v4_membered(v13) & v4_membered(k1_xboole_0) & v3_membered(v13) & v3_membered(k1_xboole_0) & v2_membered(v13) & v2_membered(k1_xboole_0) & v1_membered(v13) & v1_membered(k1_xboole_0) & r2_hidden(v5, v7) & v1_filter_0(v7, v0) & m1_filter_0(v7, v0) & m1_subset_1(v5, v1) & l3_lattices(v14) & l3_lattices(v8) & l3_lattices(v0) & v17_lattices(v14) & v17_lattices(v0) & v10_lattices(v14) & v10_lattices(v0) & ~ v1_xboole_0(v15) & ~ v1_xboole_0(v13) & ~ r2_hidden(v7, v6) & ~ v3_realset2(v14) & ~ v3_realset2(v0) & ~ v3_struct_0(v14) & ~ v3_struct_0(v9) & ~ v3_struct_0(v0) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v17 = v16 | ~ (k8_funct_2(v21, v20, v19, v18) = v17) | ~ (k8_funct_2(v21, v20, v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k8_funct_2(v16, v17, v18, v19) = v20) | ~ v1_funct_2(v18, v16, v17) | ~ v1_funct_1(v18) | ~ m1_relset_1(v18, v16, v17) | ~ m1_subset_1(v19, v16) | k1_funct_1(v18, v19) = v20 | v1_xboole_0(v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k8_funct_2(v16, v17, v18, v19) = v20) | ~ v1_funct_2(v18, v16, v17) | ~ v1_funct_1(v18) | ~ m1_relset_1(v18, v16, v17) | ~ m1_subset_1(v19, v16) | v1_xboole_0(v16) | m1_subset_1(v20, v17)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (k1_funct_1(v19, v18) = v17) | ~ (k1_funct_1(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (k2_zfmisc_1(v19, v18) = v17) | ~ (k2_zfmisc_1(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k2_zfmisc_1(v16, v17) = v19) | ~ m2_relset_1(v18, v16, v17) | ? [v20] : (k1_zfmisc_1(v19) = v20 & m1_subset_1(v18, v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) | ~ v1_xboole_0(v18) | ~ r2_hidden(v16, v17) | ~ m1_subset_1(v17, v19)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) | ~ r2_hidden(v16, v17) | ~ m1_subset_1(v17, v19) | m1_subset_1(v16, v18)) & ? [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k2_zfmisc_1(v17, v18) = v19) | v1_relat_1(v16) | ? [v20] : (k1_zfmisc_1(v19) = v20 & ~ m1_subset_1(v16, v20))) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (k7_lopclset(v18) = v17) | ~ (k7_lopclset(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (k9_lopclset(v18) = v17) | ~ (k9_lopclset(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (k8_lopclset(v18) = v17) | ~ (k8_lopclset(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (a_1_1_lopclset(v18) = v17) | ~ (a_1_1_lopclset(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (u1_struct_0(v18) = v17) | ~ (u1_struct_0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (k1_zfmisc_1(v18) = v17) | ~ (k1_zfmisc_1(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (a_1_1_lopclset(v17) = v18) | ~ r2_hidden(v16, v18) | ~ l3_lattices(v17) | ~ v17_lattices(v17) | ~ v10_lattices(v17) | v3_realset2(v17) | v3_struct_0(v17) | (v1_filter_0(v16, v17) & m1_filter_0(v16, v17))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (a_1_1_lopclset(v17) = v18) | ~ v1_filter_0(v16, v17) | ~ m1_filter_0(v16, v17) | ~ l3_lattices(v17) | ~ v17_lattices(v17) | ~ v10_lattices(v17) | r2_hidden(v16, v18) | v3_realset2(v17) | v3_struct_0(v17)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_zfmisc_1(v16, v17) = v18) | ~ v1_finset_1(v17) | ~ v1_finset_1(v16) | v1_finset_1(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) | ~ r1_tarski(v16, v17) | m1_subset_1(v16, v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) | ~ m1_subset_1(v16, v18) | r1_tarski(v16, v17)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v1_finset_1(v16) | ~ m1_subset_1(v18, v17) | v1_finset_1(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v5_membered(v16) | ~ m1_subset_1(v18, v17) | v5_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v5_membered(v16) | ~ m1_subset_1(v18, v17) | v4_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v5_membered(v16) | ~ m1_subset_1(v18, v17) | v3_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v5_membered(v16) | ~ m1_subset_1(v18, v17) | v2_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v5_membered(v16) | ~ m1_subset_1(v18, v17) | v1_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v4_membered(v16) | ~ m1_subset_1(v18, v17) | v4_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v4_membered(v16) | ~ m1_subset_1(v18, v17) | v3_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v4_membered(v16) | ~ m1_subset_1(v18, v17) | v2_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v4_membered(v16) | ~ m1_subset_1(v18, v17) | v1_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v3_membered(v16) | ~ m1_subset_1(v18, v17) | v3_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v3_membered(v16) | ~ m1_subset_1(v18, v17) | v2_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v3_membered(v16) | ~ m1_subset_1(v18, v17) | v1_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v2_membered(v16) | ~ m1_subset_1(v18, v17) | v2_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v2_membered(v16) | ~ m1_subset_1(v18, v17) | v1_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v1_membered(v16) | ~ m1_subset_1(v18, v17) | v1_membered(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ m2_relset_1(v18, v16, v17) | m1_relset_1(v18, v16, v17)) & ! [v16] : ! [v17] : ! [v18] : ( ~ v1_xboole_0(v18) | ~ v1_funct_2(v18, v16, v17) | ~ v1_funct_1(v18) | ~ m1_relset_1(v18, v16, v17) | v1_xboole_0(v17) | v1_xboole_0(v16)) & ! [v16] : ! [v17] : ! [v18] : ( ~ v1_funct_2(v18, v16, v17) | ~ v1_funct_1(v18) | ~ m1_relset_1(v18, v16, v17) | v1_xboole_0(v17) | v1_xboole_0(v16) | v1_partfun1(v18, v16, v17)) & ! [v16] : ! [v17] : ! [v18] : ( ~ v1_funct_2(v18, v16, v17) | ~ v1_funct_1(v18) | ~ m1_relset_1(v18, v16, v17) | v1_xboole_0(v17) | v1_partfun1(v18, v16, v17)) & ! [v16] : ! [v17] : ! [v18] : ( ~ v1_partfun1(v18, v16, v17) | ~ v1_funct_1(v18) | ~ m1_relset_1(v18, v16, v17) | v1_funct_2(v18, v16, v17)) & ! [v16] : ! [v17] : ! [v18] : ( ~ m1_relset_1(v18, v16, v17) | m2_relset_1(v18, v16, v17)) & ! [v16] : ! [v17] : (v17 = v16 | ~ v1_xboole_0(v17) | ~ v1_xboole_0(v16)) & ! [v16] : ! [v17] : ( ~ (k7_lopclset(v16) = v17) | ~ v1_xboole_0(v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (k7_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | a_1_1_lopclset(v16) = v17 | v3_realset2(v16) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (k7_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : ? [v20] : (k9_lopclset(v16) = v18 & u1_struct_0(v16) = v19 & k1_zfmisc_1(v17) = v20 & m2_relset_1(v18, v19, v20) & v1_funct_2(v18, v19, v20) & v1_funct_1(v18))) & ! [v16] : ! [v17] : ( ~ (k7_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : ? [v20] : (u1_struct_0(v16) = v18 & k1_zfmisc_1(v19) = v20 & k1_zfmisc_1(v18) = v19 & m1_subset_1(v17, v20))) & ! [v16] : ! [v17] : ( ~ (k9_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | k8_lopclset(v16) = v17 | v3_realset2(v16) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (k9_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v1_funct_1(v17) | v3_realset2(v16) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (k9_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : ? [v20] : (k7_lopclset(v16) = v19 & u1_struct_0(v16) = v18 & k1_zfmisc_1(v19) = v20 & m2_relset_1(v17, v18, v20) & v1_funct_2(v17, v18, v20))) & ! [v16] : ! [v17] : ( ~ (k8_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | k9_lopclset(v16) = v17 | v3_realset2(v16) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (k8_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v1_relat_1(v17) | v3_realset2(v16) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (k8_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v1_funct_1(v17) | v3_realset2(v16) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (k8_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) | ? [v18] : (u1_struct_0(v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_funct_1(v17, v19) = v20) | ~ r2_hidden(v21, v20) | ~ m1_filter_0(v21, v16) | ~ m1_subset_1(v19, v18) | r2_hidden(v19, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_funct_1(v17, v19) = v20) | ~ r2_hidden(v21, v20) | ~ m1_filter_0(v21, v16) | ~ m1_subset_1(v19, v18) | v1_filter_0(v21, v16)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_funct_1(v17, v19) = v20) | ~ r2_hidden(v19, v21) | ~ v1_filter_0(v21, v16) | ~ m1_filter_0(v21, v16) | ~ m1_subset_1(v19, v18) | r2_hidden(v21, v20)))) & ! [v16] : ! [v17] : ( ~ (a_1_1_lopclset(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | k7_lopclset(v16) = v17 | v3_realset2(v16) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l1_struct_0(v16) | ~ v1_xboole_0(v17) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l1_struct_0(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : (k1_zfmisc_1(v17) = v18 & m1_subset_1(v19, v18) & ~ v1_xboole_0(v19))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : ? [v20] : (k7_lopclset(v16) = v19 & k9_lopclset(v16) = v18 & k1_zfmisc_1(v19) = v20 & m2_relset_1(v18, v17, v20) & v1_funct_2(v18, v17, v20) & v1_funct_1(v18))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : ? [v20] : (k7_lopclset(v16) = v18 & k1_zfmisc_1(v19) = v20 & k1_zfmisc_1(v17) = v19 & m1_subset_1(v18, v20))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l3_lattices(v16) | ~ v17_lattices(v16) | ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) | ? [v18] : (k8_lopclset(v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_funct_1(v18, v19) = v20) | ~ r2_hidden(v21, v20) | ~ m1_filter_0(v21, v16) | ~ m1_subset_1(v19, v17) | r2_hidden(v19, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_funct_1(v18, v19) = v20) | ~ r2_hidden(v21, v20) | ~ m1_filter_0(v21, v16) | ~ m1_subset_1(v19, v17) | v1_filter_0(v21, v16)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_funct_1(v18, v19) = v20) | ~ r2_hidden(v19, v21) | ~ v1_filter_0(v21, v16) | ~ m1_filter_0(v21, v16) | ~ m1_subset_1(v19, v17) | r2_hidden(v21, v20)))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l3_lattices(v16) | ~ v10_lattices(v16) | v3_struct_0(v16) | ? [v18] : (k1_zfmisc_1(v17) = v18 & ! [v19] : ( ~ v1_xboole_0(v19) | ~ m1_filter_0(v19, v16)) & ! [v19] : ( ~ m1_filter_0(v19, v16) | m1_subset_1(v19, v18)))) & ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v1_xboole_0(v17)) & ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | v3_finsub_1(v17)) & ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | v1_finsub_1(v17)) & ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | v4_finsub_1(v17)) & ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | v1_xboole_0(v16) | ? [v18] : (v1_finset_1(v18) & m1_subset_1(v18, v17) & ~ v1_xboole_0(v18))) & ! [v16] : ! [v17] : ( ~ v1_xboole_0(v17) | ~ r2_hidden(v16, v17)) & ! [v16] : ! [v17] : ( ~ v5_membered(v16) | ~ m1_subset_1(v17, v16) | v4_ordinal2(v17)) & ! [v16] : ! [v17] : ( ~ v5_membered(v16) | ~ m1_subset_1(v17, v16) | v1_int_1(v17)) & ! [v16] : ! [v17] : ( ~ v5_membered(v16) | ~ m1_subset_1(v17, v16) | v1_rat_1(v17)) & ! [v16] : ! [v17] : ( ~ v5_membered(v16) | ~ m1_subset_1(v17, v16) | v1_xreal_0(v17)) & ! [v16] : ! [v17] : ( ~ v5_membered(v16) | ~ m1_subset_1(v17, v16) | v1_xcmplx_0(v17)) & ! [v16] : ! [v17] : ( ~ v4_membered(v16) | ~ m1_subset_1(v17, v16) | v1_int_1(v17)) & ! [v16] : ! [v17] : ( ~ v4_membered(v16) | ~ m1_subset_1(v17, v16) | v1_rat_1(v17)) & ! [v16] : ! [v17] : ( ~ v4_membered(v16) | ~ m1_subset_1(v17, v16) | v1_xreal_0(v17)) & ! [v16] : ! [v17] : ( ~ v4_membered(v16) | ~ m1_subset_1(v17, v16) | v1_xcmplx_0(v17)) & ! [v16] : ! [v17] : ( ~ v3_membered(v16) | ~ m1_subset_1(v17, v16) | v1_rat_1(v17)) & ! [v16] : ! [v17] : ( ~ v3_membered(v16) | ~ m1_subset_1(v17, v16) | v1_xreal_0(v17)) & ! [v16] : ! [v17] : ( ~ v3_membered(v16) | ~ m1_subset_1(v17, v16) | v1_xcmplx_0(v17)) & ! [v16] : ! [v17] : ( ~ v2_membered(v16) | ~ m1_subset_1(v17, v16) | v1_xreal_0(v17)) & ! [v16] : ! [v17] : ( ~ v2_membered(v16) | ~ m1_subset_1(v17, v16) | v1_xcmplx_0(v17)) & ! [v16] : ! [v17] : ( ~ v1_membered(v16) | ~ m1_subset_1(v17, v16) | v1_xcmplx_0(v17)) & ! [v16] : ! [v17] : ( ~ r2_hidden(v17, v16) | ~ r2_hidden(v16, v17)) & ! [v16] : ! [v17] : ( ~ r2_hidden(v16, v17) | m1_subset_1(v16, v17)) & ! [v16] : ! [v17] : ( ~ m1_subset_1(v16, v17) | v1_xboole_0(v17) | r2_hidden(v16, v17)) & ! [v16] : (v16 = k1_xboole_0 | ~ v1_xboole_0(v16)) & ! [v16] : ( ~ v3_finsub_1(v16) | ~ v1_finsub_1(v16) | v4_finsub_1(v16)) & ! [v16] : ( ~ v4_finsub_1(v16) | v3_finsub_1(v16)) & ! [v16] : ( ~ v4_finsub_1(v16) | v1_finsub_1(v16)) & ! [v16] : ( ~ l2_lattices(v16) | l1_struct_0(v16)) & ! [v16] : ( ~ l1_lattices(v16) | l1_struct_0(v16)) & ! [v16] : ( ~ v16_lattices(v16) | ~ v15_lattices(v16) | ~ v11_lattices(v16) | ~ l3_lattices(v16) | v17_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v15_lattices(v16) | ~ l3_lattices(v16) | v14_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v15_lattices(v16) | ~ l3_lattices(v16) | v13_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v14_lattices(v16) | ~ v13_lattices(v16) | ~ l3_lattices(v16) | v15_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v11_lattices(v16) | ~ l3_lattices(v16) | ~ v10_lattices(v16) | v12_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v11_lattices(v16) | ~ l3_lattices(v16) | ~ v10_lattices(v16) | v9_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v11_lattices(v16) | ~ l3_lattices(v16) | ~ v10_lattices(v16) | v8_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v11_lattices(v16) | ~ l3_lattices(v16) | ~ v10_lattices(v16) | v7_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v11_lattices(v16) | ~ l3_lattices(v16) | ~ v10_lattices(v16) | v6_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v11_lattices(v16) | ~ l3_lattices(v16) | ~ v10_lattices(v16) | v5_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v11_lattices(v16) | ~ l3_lattices(v16) | ~ v10_lattices(v16) | v4_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v9_lattices(v16) | ~ v8_lattices(v16) | ~ v7_lattices(v16) | ~ v6_lattices(v16) | ~ v5_lattices(v16) | ~ v4_lattices(v16) | ~ l3_lattices(v16) | v10_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v1_xboole_0(v16) | v1_finset_1(v16)) & ! [v16] : ( ~ v1_xboole_0(v16) | v5_membered(v16)) & ! [v16] : ( ~ v1_xboole_0(v16) | v4_membered(v16)) & ! [v16] : ( ~ v1_xboole_0(v16) | v3_membered(v16)) & ! [v16] : ( ~ v1_xboole_0(v16) | v2_membered(v16)) & ! [v16] : ( ~ v1_xboole_0(v16) | v1_membered(v16)) & ! [v16] : ( ~ v5_membered(v16) | v4_membered(v16)) & ! [v16] : ( ~ v4_membered(v16) | v3_membered(v16)) & ! [v16] : ( ~ v3_membered(v16) | v2_membered(v16)) & ! [v16] : ( ~ v2_membered(v16) | v1_membered(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v17_lattices(v16) | v16_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v17_lattices(v16) | v15_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v17_lattices(v16) | v14_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v17_lattices(v16) | v13_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v17_lattices(v16) | v11_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v9_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v8_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v7_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v6_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v5_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v4_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v3_struct_0(v16) | ? [v17] : m1_filter_0(v17, v16)) & ! [v16] : ( ~ l3_lattices(v16) | l2_lattices(v16)) & ! [v16] : ( ~ l3_lattices(v16) | l1_lattices(v16)) & ? [v16] : ? [v17] : ? [v18] : m2_relset_1(v18, v16, v17) & ? [v16] : ? [v17] : ? [v18] : m1_relset_1(v18, v16, v17) & ? [v16] : ? [v17] : ? [v18] : (v1_relat_1(v18) & v1_funct_2(v18, v16, v17) & v1_funct_1(v18) & m1_relset_1(v18, v16, v17)) & ? [v16] : ? [v17] : ? [v18] : (v1_relat_1(v18) & v1_funct_1(v18) & m1_relset_1(v18, v16, v17)) & ? [v16] : ? [v17] : (v17 = v16 | ? [v18] : (( ~ r2_hidden(v18, v17) | ~ r2_hidden(v18, v16)) & (r2_hidden(v18, v17) | r2_hidden(v18, v16)))) & ? [v16] : ? [v17] : m1_subset_1(v17, v16) & ? [v16] : r1_tarski(v16, v16)) % 8.53/2.59 | 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 yields: % 8.53/2.59 | (1) k7_lopclset(all_0_15_15) = all_0_13_13 & k9_lopclset(all_0_15_15) = all_0_11_11 & k8_funct_2(all_0_14_14, all_0_12_12, all_0_11_11, all_0_10_10) = all_0_9_9 & u1_struct_0(all_0_15_15) = all_0_14_14 & k1_zfmisc_1(all_0_13_13) = all_0_12_12 & l2_lattices(all_0_5_5) & l1_struct_0(all_0_4_4) & l1_struct_0(all_0_6_6) & l1_lattices(all_0_3_3) & v16_lattices(all_0_1_1) & v15_lattices(all_0_1_1) & v14_lattices(all_0_1_1) & v13_lattices(all_0_1_1) & v12_lattices(all_0_1_1) & v11_lattices(all_0_1_1) & v9_lattices(all_0_1_1) & v8_lattices(all_0_1_1) & v7_lattices(all_0_1_1) & v6_lattices(all_0_1_1) & v5_lattices(all_0_1_1) & v4_lattices(all_0_1_1) & v1_xboole_0(k1_xboole_0) & v1_finset_1(all_0_0_0) & v5_membered(all_0_2_2) & v5_membered(k1_xboole_0) & v4_membered(all_0_2_2) & v4_membered(k1_xboole_0) & v3_membered(all_0_2_2) & v3_membered(k1_xboole_0) & v2_membered(all_0_2_2) & v2_membered(k1_xboole_0) & v1_membered(all_0_2_2) & v1_membered(k1_xboole_0) & r2_hidden(all_0_10_10, all_0_8_8) & v1_filter_0(all_0_8_8, all_0_15_15) & m1_filter_0(all_0_8_8, all_0_15_15) & m1_subset_1(all_0_10_10, all_0_14_14) & l3_lattices(all_0_1_1) & l3_lattices(all_0_7_7) & l3_lattices(all_0_15_15) & v17_lattices(all_0_1_1) & v17_lattices(all_0_15_15) & v10_lattices(all_0_1_1) & v10_lattices(all_0_15_15) & ~ v1_xboole_0(all_0_0_0) & ~ v1_xboole_0(all_0_2_2) & ~ r2_hidden(all_0_8_8, all_0_9_9) & ~ v3_realset2(all_0_1_1) & ~ v3_realset2(all_0_15_15) & ~ v3_struct_0(all_0_1_1) & ~ v3_struct_0(all_0_6_6) & ~ v3_struct_0(all_0_15_15) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k8_funct_2(v5, v4, v3, v2) = v1) | ~ (k8_funct_2(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | ~ m1_subset_1(v3, v0) | k1_funct_1(v2, v3) = v4 | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | ~ m1_subset_1(v3, v0) | v1_xboole_0(v0) | m1_subset_1(v4, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ m2_relset_1(v2, v0, v1) | ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) | ? [v4] : (k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v0, v4))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k7_lopclset(v2) = v1) | ~ (k7_lopclset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k9_lopclset(v2) = v1) | ~ (k9_lopclset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k8_lopclset(v2) = v1) | ~ (k8_lopclset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (a_1_1_lopclset(v2) = v1) | ~ (a_1_1_lopclset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (a_1_1_lopclset(v1) = v2) | ~ r2_hidden(v0, v2) | ~ l3_lattices(v1) | ~ v17_lattices(v1) | ~ v10_lattices(v1) | v3_realset2(v1) | v3_struct_0(v1) | (v1_filter_0(v0, v1) & m1_filter_0(v0, v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (a_1_1_lopclset(v1) = v2) | ~ v1_filter_0(v0, v1) | ~ m1_filter_0(v0, v1) | ~ l3_lattices(v1) | ~ v17_lattices(v1) | ~ v10_lattices(v1) | r2_hidden(v0, v2) | v3_realset2(v1) | v3_struct_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_finset_1(v1) | ~ v1_finset_1(v0) | v1_finset_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_finset_1(v0) | ~ m1_subset_1(v2, v1) | v1_finset_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v5_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_xboole_0(v2) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0) | v1_partfun1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_partfun1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_partfun1(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_funct_2(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (k7_lopclset(v0) = v1) | ~ v1_xboole_0(v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k7_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | a_1_1_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k7_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k9_lopclset(v0) = v2 & u1_struct_0(v0) = v3 & k1_zfmisc_1(v1) = v4 & m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3, v4) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (k7_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v4))) & ! [v0] : ! [v1] : ( ~ (k9_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | k8_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k9_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v1_funct_1(v1) | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k9_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k7_lopclset(v0) = v3 & u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4))) & ! [v0] : ! [v1] : ( ~ (k8_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | k9_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k8_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v1_relat_1(v1) | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k8_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v1_funct_1(v1) | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k8_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ r2_hidden(v5, v4) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v2) | r2_hidden(v3, v5)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ r2_hidden(v5, v4) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v2) | v1_filter_0(v5, v0)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ r2_hidden(v3, v5) | ~ v1_filter_0(v5, v0) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v2) | r2_hidden(v5, v4)))) & ! [v0] : ! [v1] : ( ~ (a_1_1_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | k7_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k7_lopclset(v0) = v3 & k9_lopclset(v0) = v2 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v2, v1, v4) & v1_funct_2(v2, v1, v4) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k7_lopclset(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v1) = v3 & m1_subset_1(v2, v4))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : (k8_lopclset(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) | ~ r2_hidden(v5, v4) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v1) | r2_hidden(v3, v5)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) | ~ r2_hidden(v5, v4) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v1) | v1_filter_0(v5, v0)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) | ~ r2_hidden(v3, v5) | ~ v1_filter_0(v5, v0) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v1) | r2_hidden(v5, v4)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_filter_0(v3, v0)) & ! [v3] : ( ~ m1_filter_0(v3, v0) | m1_subset_1(v3, v2)))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v3_finsub_1(v1)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_finsub_1(v1)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v4_finsub_1(v1)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (v1_finset_1(v2) & m1_subset_1(v2, v1) & ~ v1_xboole_0(v2))) & ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v4_ordinal2(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v1_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) & ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ v3_finsub_1(v0) | ~ v1_finsub_1(v0) | v4_finsub_1(v0)) & ! [v0] : ( ~ v4_finsub_1(v0) | v3_finsub_1(v0)) & ! [v0] : ( ~ v4_finsub_1(v0) | v1_finsub_1(v0)) & ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ v11_lattices(v0) | ~ l3_lattices(v0) | v17_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v15_lattices(v0) | ~ l3_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v15_lattices(v0) | ~ l3_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v14_lattices(v0) | ~ v13_lattices(v0) | ~ l3_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v12_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v7_lattices(v0) | ~ v6_lattices(v0) | ~ v5_lattices(v0) | ~ v4_lattices(v0) | ~ l3_lattices(v0) | v10_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v1_finset_1(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0)) & ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0)) & ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0)) & ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0)) & ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v17_lattices(v0) | v16_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v17_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v17_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v17_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v17_lattices(v0) | v11_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v1] : m1_filter_0(v1, v0)) & ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0)) & ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0)) & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : (v1_relat_1(v2) & v1_funct_2(v2, v0, v1) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1)) & ? [v0] : ? [v1] : ? [v2] : (v1_relat_1(v2) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1)) & ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : (( ~ r2_hidden(v2, v1) | ~ r2_hidden(v2, v0)) & (r2_hidden(v2, v1) | r2_hidden(v2, v0)))) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0) % 8.97/2.61 | % 8.97/2.61 | Applying alpha-rule on (1) yields: % 8.97/2.61 | (2) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) % 8.97/2.61 | (3) l3_lattices(all_0_1_1) % 8.97/2.61 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) % 8.97/2.61 | (5) ? [v0] : ? [v1] : ? [v2] : (v1_relat_1(v2) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1)) % 8.97/2.61 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k7_lopclset(v2) = v1) | ~ (k7_lopclset(v2) = v0)) % 8.97/2.61 | (7) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0)) % 8.97/2.61 | (8) v4_lattices(all_0_1_1) % 8.97/2.61 | (9) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) % 8.97/2.61 | (10) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1)) % 8.97/2.61 | (11) ~ r2_hidden(all_0_8_8, all_0_9_9) % 8.97/2.62 | (12) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) % 8.97/2.62 | (13) v2_membered(all_0_2_2) % 8.97/2.62 | (14) ! [v0] : ! [v1] : ( ~ (k7_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | a_1_1_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) % 8.97/2.62 | (15) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v4_finsub_1(v1)) % 8.97/2.62 | (16) ! [v0] : ( ~ v15_lattices(v0) | ~ l3_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0)) % 8.97/2.62 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | ~ m1_subset_1(v3, v0) | k1_funct_1(v2, v3) = v4 | v1_xboole_0(v0)) % 8.97/2.62 | (18) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v1] : m1_filter_0(v1, v0)) % 8.97/2.62 | (19) v4_membered(all_0_2_2) % 8.97/2.62 | (20) ! [v0] : ( ~ v15_lattices(v0) | ~ l3_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0)) % 8.97/2.62 | (21) ! [v0] : ! [v1] : ( ~ (k8_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v1_funct_1(v1) | v3_realset2(v0) | v3_struct_0(v0)) % 8.97/2.62 | (22) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v3_finsub_1(v1)) % 8.97/2.62 | (23) v4_membered(k1_xboole_0) % 8.97/2.62 | (24) ! [v0] : ( ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v7_lattices(v0) | ~ v6_lattices(v0) | ~ v5_lattices(v0) | ~ v4_lattices(v0) | ~ l3_lattices(v0) | v10_lattices(v0) | v3_struct_0(v0)) % 8.97/2.62 | (25) v9_lattices(all_0_1_1) % 8.97/2.62 | (26) ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0)) % 8.97/2.62 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) % 8.97/2.62 | (28) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v12_lattices(v0) | v3_struct_0(v0)) % 8.97/2.62 | (29) ! [v0] : ! [v1] : ( ~ (a_1_1_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | k7_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) % 8.97/2.62 | (30) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) | ? [v4] : (k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v0, v4))) % 8.97/2.62 | (31) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1)) % 8.97/2.62 | (32) v2_membered(k1_xboole_0) % 8.97/2.62 | (33) l3_lattices(all_0_7_7) % 8.97/2.62 | (34) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0)) % 8.97/2.62 | (35) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) % 8.97/2.62 | (36) v10_lattices(all_0_1_1) % 8.97/2.62 | (37) v5_membered(all_0_2_2) % 8.97/2.62 | (38) v7_lattices(all_0_1_1) % 8.97/2.62 | (39) ~ v1_xboole_0(all_0_2_2) % 8.97/2.62 | (40) l3_lattices(all_0_15_15) % 8.97/2.62 | (41) ? [v0] : ? [v1] : ? [v2] : (v1_relat_1(v2) & v1_funct_2(v2, v0, v1) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1)) % 8.97/2.62 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_finset_1(v1) | ~ v1_finset_1(v0) | v1_finset_1(v2)) % 8.97/2.62 | (43) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) % 8.97/2.62 | (44) ! [v0] : ( ~ l3_lattices(v0) | ~ v17_lattices(v0) | v16_lattices(v0) | v3_struct_0(v0)) % 8.97/2.62 | (45) ! [v0] : ( ~ l3_lattices(v0) | ~ v17_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0)) % 8.97/2.62 | (46) ! [v0] : ( ~ v3_finsub_1(v0) | ~ v1_finsub_1(v0) | v4_finsub_1(v0)) % 8.97/2.63 | (47) u1_struct_0(all_0_15_15) = all_0_14_14 % 8.97/2.63 | (48) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0)) % 8.97/2.63 | (49) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) % 8.97/2.63 | (50) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) % 8.97/2.63 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) % 8.97/2.63 | (52) ! [v0] : ( ~ l3_lattices(v0) | ~ v17_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0)) % 8.97/2.63 | (53) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) % 8.97/2.63 | (54) ! [v0] : ! [v1] : ( ~ (k9_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v1_funct_1(v1) | v3_realset2(v0) | v3_struct_0(v0)) % 8.97/2.63 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) % 8.97/2.63 | (56) ! [v0] : ! [v1] : ( ~ (k9_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k7_lopclset(v0) = v3 & u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4))) % 8.97/2.63 | (57) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) % 8.97/2.63 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k9_lopclset(v2) = v1) | ~ (k9_lopclset(v2) = v0)) % 8.97/2.63 | (59) ! [v0] : ( ~ v14_lattices(v0) | ~ v13_lattices(v0) | ~ l3_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0)) % 8.97/2.63 | (60) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) % 8.97/2.63 | (61) l1_struct_0(all_0_4_4) % 8.97/2.63 | (62) ! [v0] : ! [v1] : ! [v2] : ( ~ (a_1_1_lopclset(v1) = v2) | ~ r2_hidden(v0, v2) | ~ l3_lattices(v1) | ~ v17_lattices(v1) | ~ v10_lattices(v1) | v3_realset2(v1) | v3_struct_0(v1) | (v1_filter_0(v0, v1) & m1_filter_0(v0, v1))) % 8.97/2.63 | (63) ! [v0] : ( ~ l3_lattices(v0) | ~ v17_lattices(v0) | v11_lattices(v0) | v3_struct_0(v0)) % 8.97/2.63 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_partfun1(v2, v0, v1)) % 8.97/2.63 | (65) k9_lopclset(all_0_15_15) = all_0_11_11 % 8.97/2.63 | (66) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) % 8.97/2.63 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) % 8.97/2.63 | (68) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) % 8.97/2.63 | (69) r2_hidden(all_0_10_10, all_0_8_8) % 8.97/2.63 | (70) ! [v0] : ( ~ l3_lattices(v0) | ~ v17_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0)) % 8.97/2.63 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) % 8.97/2.63 | (72) l1_struct_0(all_0_6_6) % 8.97/2.63 | (73) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) % 8.97/2.63 | (74) v13_lattices(all_0_1_1) % 8.97/2.63 | (75) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) % 8.97/2.63 | (76) l1_lattices(all_0_3_3) % 8.97/2.63 | (77) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (v1_finset_1(v2) & m1_subset_1(v2, v1) & ~ v1_xboole_0(v2))) % 8.97/2.63 | (78) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) % 8.97/2.63 | (79) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) % 8.97/2.63 | (80) k8_funct_2(all_0_14_14, all_0_12_12, all_0_11_11, all_0_10_10) = all_0_9_9 % 8.97/2.63 | (81) ! [v0] : ( ~ v1_xboole_0(v0) | v1_finset_1(v0)) % 8.97/2.63 | (82) ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0)) % 8.97/2.63 | (83) ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0)) % 8.97/2.63 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (a_1_1_lopclset(v2) = v1) | ~ (a_1_1_lopclset(v2) = v0)) % 8.97/2.63 | (85) v5_membered(k1_xboole_0) % 8.97/2.63 | (86) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) % 8.97/2.63 | (87) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : (( ~ r2_hidden(v2, v1) | ~ r2_hidden(v2, v0)) & (r2_hidden(v2, v1) | r2_hidden(v2, v0)))) % 8.97/2.63 | (88) ! [v0] : ! [v1] : ( ~ (k7_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v4))) % 8.97/2.63 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k8_lopclset(v2) = v1) | ~ (k8_lopclset(v2) = v0)) % 8.97/2.63 | (90) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) % 8.97/2.63 | (91) m1_subset_1(all_0_10_10, all_0_14_14) % 8.97/2.63 | (92) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) % 8.97/2.63 | (93) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) % 8.97/2.64 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 8.97/2.64 | (95) ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0)) % 8.97/2.64 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) % 8.97/2.64 | (97) v1_xboole_0(k1_xboole_0) % 8.97/2.64 | (98) k1_zfmisc_1(all_0_13_13) = all_0_12_12 % 8.97/2.64 | (99) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_finsub_1(v1)) % 8.97/2.64 | (100) v3_membered(k1_xboole_0) % 8.97/2.64 | (101) ! [v0] : ! [v1] : ( ~ (k8_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | k9_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) % 8.97/2.64 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | ~ m1_subset_1(v3, v0) | v1_xboole_0(v0) | m1_subset_1(v4, v1)) % 8.97/2.64 | (103) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) % 8.97/2.64 | (104) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) % 8.97/2.64 | (105) ! [v0] : ( ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ v11_lattices(v0) | ~ l3_lattices(v0) | v17_lattices(v0) | v3_struct_0(v0)) % 8.97/2.64 | (106) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0) | v1_partfun1(v2, v0, v1)) % 8.97/2.64 | (107) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : (k8_lopclset(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) | ~ r2_hidden(v5, v4) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v1) | r2_hidden(v3, v5)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) | ~ r2_hidden(v5, v4) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v1) | v1_filter_0(v5, v0)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) | ~ r2_hidden(v3, v5) | ~ v1_filter_0(v5, v0) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v1) | r2_hidden(v5, v4)))) % 8.97/2.64 | (108) v12_lattices(all_0_1_1) % 8.97/2.64 | (109) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) % 8.97/2.64 | (110) v14_lattices(all_0_1_1) % 8.97/2.64 | (111) ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0)) % 8.97/2.64 | (112) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) % 8.97/2.64 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 8.97/2.64 | (114) ~ v3_realset2(all_0_1_1) % 8.97/2.64 | (115) v10_lattices(all_0_15_15) % 8.97/2.64 | (116) ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0)) % 8.97/2.64 | (117) ! [v0] : ( ~ v4_finsub_1(v0) | v3_finsub_1(v0)) % 8.97/2.64 | (118) ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0)) % 8.97/2.64 | (119) ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0)) % 8.97/2.64 | (120) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_filter_0(v3, v0)) & ! [v3] : ( ~ m1_filter_0(v3, v0) | m1_subset_1(v3, v2)))) % 8.97/2.64 | (121) ? [v0] : ? [v1] : m1_subset_1(v1, v0) % 8.97/2.64 | (122) ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0)) % 8.97/2.64 | (123) ! [v0] : ! [v1] : ( ~ (k8_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v1_relat_1(v1) | v3_realset2(v0) | v3_struct_0(v0)) % 8.97/2.64 | (124) l2_lattices(all_0_5_5) % 8.97/2.64 | (125) ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0)) % 8.97/2.64 | (126) ~ v3_struct_0(all_0_6_6) % 8.97/2.64 | (127) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) % 8.97/2.64 | (128) m1_filter_0(all_0_8_8, all_0_15_15) % 8.97/2.64 | (129) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) % 8.97/2.64 | (130) ~ v3_struct_0(all_0_1_1) % 8.97/2.64 | (131) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0)) % 8.97/2.64 | (132) ! [v0] : ! [v1] : ( ~ v1_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) % 8.97/2.64 | (133) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k7_lopclset(v0) = v3 & k9_lopclset(v0) = v2 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v2, v1, v4) & v1_funct_2(v2, v1, v4) & v1_funct_1(v2))) % 8.97/2.64 | (134) k7_lopclset(all_0_15_15) = all_0_13_13 % 8.97/2.64 | (135) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) % 8.97/2.64 | (136) ? [v0] : r1_tarski(v0, v0) % 8.97/2.64 | (137) ! [v0] : ! [v1] : ! [v2] : ( ~ (a_1_1_lopclset(v1) = v2) | ~ v1_filter_0(v0, v1) | ~ m1_filter_0(v0, v1) | ~ l3_lattices(v1) | ~ v17_lattices(v1) | ~ v10_lattices(v1) | r2_hidden(v0, v2) | v3_realset2(v1) | v3_struct_0(v1)) % 8.97/2.64 | (138) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1)) % 8.97/2.64 | (139) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) % 8.97/2.64 | (140) ~ v3_realset2(all_0_15_15) % 8.97/2.64 | (141) v1_finset_1(all_0_0_0) % 8.97/2.64 | (142) v15_lattices(all_0_1_1) % 8.97/2.64 | (143) ! [v0] : ! [v1] : ( ~ (k7_lopclset(v0) = v1) | ~ v1_xboole_0(v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0)) % 8.97/2.64 | (144) v8_lattices(all_0_1_1) % 8.97/2.64 | (145) ! [v0] : ! [v1] : ( ~ (k8_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ r2_hidden(v5, v4) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v2) | r2_hidden(v3, v5)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ r2_hidden(v5, v4) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v2) | v1_filter_0(v5, v0)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ r2_hidden(v3, v5) | ~ v1_filter_0(v5, v0) | ~ m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v2) | r2_hidden(v5, v4)))) % 8.97/2.64 | (146) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) % 8.97/2.64 | (147) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) % 8.97/2.64 | (148) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_finset_1(v0) | ~ m1_subset_1(v2, v1) | v1_finset_1(v2)) % 8.97/2.64 | (149) v3_membered(all_0_2_2) % 8.97/2.64 | (150) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_partfun1(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_funct_2(v2, v0, v1)) % 8.97/2.64 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ m2_relset_1(v2, v0, v1) | ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4))) % 8.97/2.64 | (152) v1_membered(k1_xboole_0) % 8.97/2.64 | (153) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v4_ordinal2(v1)) % 8.97/2.64 | (154) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) % 8.97/2.64 | (155) v16_lattices(all_0_1_1) % 8.97/2.64 | (156) v5_lattices(all_0_1_1) % 8.97/2.64 | (157) v1_membered(all_0_2_2) % 8.97/2.65 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3)) % 8.97/2.65 | (159) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_xboole_0(v2) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0)) % 8.97/2.65 | (160) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k7_lopclset(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v1) = v3 & m1_subset_1(v2, v4))) % 8.97/2.65 | (161) ! [v0] : ! [v1] : ( ~ (k7_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k9_lopclset(v0) = v2 & u1_struct_0(v0) = v3 & k1_zfmisc_1(v1) = v4 & m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3, v4) & v1_funct_1(v2))) % 8.97/2.65 | (162) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) % 8.97/2.65 | (163) v11_lattices(all_0_1_1) % 8.97/2.65 | (164) ~ v1_xboole_0(all_0_0_0) % 8.97/2.65 | (165) v17_lattices(all_0_1_1) % 8.97/2.65 | (166) ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0)) % 8.97/2.65 | (167) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) % 8.97/2.65 | (168) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) % 8.97/2.65 | (169) ~ v3_struct_0(all_0_15_15) % 8.97/2.65 | (170) ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0)) % 8.97/2.65 | (171) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) % 8.97/2.65 | (172) ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0)) % 8.97/2.65 | (173) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) % 8.97/2.65 | (174) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) % 8.97/2.65 | (175) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v5_membered(v2)) % 8.97/2.65 | (176) v1_filter_0(all_0_8_8, all_0_15_15) % 8.97/2.65 | (177) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) % 8.97/2.65 | (178) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) % 8.97/2.65 | (179) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0)) % 8.97/2.65 | (180) ! [v0] : ( ~ v4_finsub_1(v0) | v1_finsub_1(v0)) % 8.97/2.65 | (181) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0)) % 8.97/2.65 | (182) ! [v0] : ! [v1] : ( ~ (k9_lopclset(v0) = v1) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | k8_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) % 8.97/2.65 | (183) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) % 8.97/2.65 | (184) v6_lattices(all_0_1_1) % 8.97/2.65 | (185) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k8_funct_2(v5, v4, v3, v2) = v1) | ~ (k8_funct_2(v5, v4, v3, v2) = v0)) % 8.97/2.65 | (186) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) % 8.97/2.65 | (187) v17_lattices(all_0_15_15) % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (73) with all_0_14_14, all_0_10_10 and discharging atoms m1_subset_1(all_0_10_10, all_0_14_14), yields: % 8.97/2.65 | (188) v1_xboole_0(all_0_14_14) | r2_hidden(all_0_10_10, all_0_14_14) % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (125) with all_0_15_15 and discharging atoms l3_lattices(all_0_15_15), yields: % 8.97/2.65 | (189) l1_lattices(all_0_15_15) % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (161) with all_0_13_13, all_0_15_15 and discharging atoms k7_lopclset(all_0_15_15) = all_0_13_13, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_realset2(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields: % 8.97/2.65 | (190) ? [v0] : ? [v1] : ? [v2] : (k9_lopclset(all_0_15_15) = v0 & u1_struct_0(all_0_15_15) = v1 & k1_zfmisc_1(all_0_13_13) = v2 & m2_relset_1(v0, v1, v2) & v1_funct_2(v0, v1, v2) & v1_funct_1(v0)) % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (88) with all_0_13_13, all_0_15_15 and discharging atoms k7_lopclset(all_0_15_15) = all_0_13_13, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_realset2(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields: % 8.97/2.65 | (191) ? [v0] : ? [v1] : ? [v2] : (u1_struct_0(all_0_15_15) = v0 & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & m1_subset_1(all_0_13_13, v2)) % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (182) with all_0_11_11, all_0_15_15 and discharging atoms k9_lopclset(all_0_15_15) = all_0_11_11, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_realset2(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields: % 8.97/2.65 | (192) k8_lopclset(all_0_15_15) = all_0_11_11 % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (56) with all_0_11_11, all_0_15_15 and discharging atoms k9_lopclset(all_0_15_15) = all_0_11_11, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_realset2(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields: % 8.97/2.65 | (193) ? [v0] : ? [v1] : ? [v2] : (k7_lopclset(all_0_15_15) = v1 & u1_struct_0(all_0_15_15) = v0 & k1_zfmisc_1(v1) = v2 & m2_relset_1(all_0_11_11, v0, v2) & v1_funct_2(all_0_11_11, v0, v2)) % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (133) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_realset2(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields: % 8.97/2.65 | (194) ? [v0] : ? [v1] : ? [v2] : (k7_lopclset(all_0_15_15) = v1 & k9_lopclset(all_0_15_15) = v0 & k1_zfmisc_1(v1) = v2 & m2_relset_1(v0, all_0_14_14, v2) & v1_funct_2(v0, all_0_14_14, v2) & v1_funct_1(v0)) % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (160) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_realset2(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields: % 8.97/2.65 | (195) ? [v0] : ? [v1] : ? [v2] : (k7_lopclset(all_0_15_15) = v0 & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(all_0_14_14) = v1 & m1_subset_1(v0, v2)) % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (107) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_realset2(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields: % 8.97/2.65 | (196) ? [v0] : (k8_lopclset(all_0_15_15) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_funct_1(v0, v1) = v2) | ~ r2_hidden(v3, v2) | ~ m1_filter_0(v3, all_0_15_15) | ~ m1_subset_1(v1, all_0_14_14) | r2_hidden(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_funct_1(v0, v1) = v2) | ~ r2_hidden(v3, v2) | ~ m1_filter_0(v3, all_0_15_15) | ~ m1_subset_1(v1, all_0_14_14) | v1_filter_0(v3, all_0_15_15)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_funct_1(v0, v1) = v2) | ~ r2_hidden(v1, v3) | ~ v1_filter_0(v3, all_0_15_15) | ~ m1_filter_0(v3, all_0_15_15) | ~ m1_subset_1(v1, all_0_14_14) | r2_hidden(v3, v2))) % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (120) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l3_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields: % 8.97/2.65 | (197) ? [v0] : (k1_zfmisc_1(all_0_14_14) = v0 & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_filter_0(v1, all_0_15_15)) & ! [v1] : ( ~ m1_filter_0(v1, all_0_15_15) | m1_subset_1(v1, v0))) % 8.97/2.65 | % 8.97/2.65 | Instantiating (197) with all_26_0_35 yields: % 8.97/2.65 | (198) k1_zfmisc_1(all_0_14_14) = all_26_0_35 & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_filter_0(v0, all_0_15_15)) & ! [v0] : ( ~ m1_filter_0(v0, all_0_15_15) | m1_subset_1(v0, all_26_0_35)) % 8.97/2.65 | % 8.97/2.65 | Applying alpha-rule on (198) yields: % 8.97/2.65 | (199) k1_zfmisc_1(all_0_14_14) = all_26_0_35 % 8.97/2.65 | (200) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_filter_0(v0, all_0_15_15)) % 8.97/2.65 | (201) ! [v0] : ( ~ m1_filter_0(v0, all_0_15_15) | m1_subset_1(v0, all_26_0_35)) % 8.97/2.65 | % 8.97/2.65 | Instantiating formula (201) with all_0_8_8 and discharging atoms m1_filter_0(all_0_8_8, all_0_15_15), yields: % 8.97/2.65 | (202) m1_subset_1(all_0_8_8, all_26_0_35) % 8.97/2.65 | % 8.97/2.65 | Instantiating (194) with all_30_0_36, all_30_1_37, all_30_2_38 yields: % 8.97/2.65 | (203) k7_lopclset(all_0_15_15) = all_30_1_37 & k9_lopclset(all_0_15_15) = all_30_2_38 & k1_zfmisc_1(all_30_1_37) = all_30_0_36 & m2_relset_1(all_30_2_38, all_0_14_14, all_30_0_36) & v1_funct_2(all_30_2_38, all_0_14_14, all_30_0_36) & v1_funct_1(all_30_2_38) % 8.97/2.65 | % 8.97/2.66 | Applying alpha-rule on (203) yields: % 8.97/2.66 | (204) v1_funct_1(all_30_2_38) % 8.97/2.66 | (205) k1_zfmisc_1(all_30_1_37) = all_30_0_36 % 8.97/2.66 | (206) m2_relset_1(all_30_2_38, all_0_14_14, all_30_0_36) % 8.97/2.66 | (207) k7_lopclset(all_0_15_15) = all_30_1_37 % 8.97/2.66 | (208) k9_lopclset(all_0_15_15) = all_30_2_38 % 8.97/2.66 | (209) v1_funct_2(all_30_2_38, all_0_14_14, all_30_0_36) % 8.97/2.66 | % 8.97/2.66 | Instantiating (193) with all_34_0_40, all_34_1_41, all_34_2_42 yields: % 8.97/2.66 | (210) k7_lopclset(all_0_15_15) = all_34_1_41 & u1_struct_0(all_0_15_15) = all_34_2_42 & k1_zfmisc_1(all_34_1_41) = all_34_0_40 & m2_relset_1(all_0_11_11, all_34_2_42, all_34_0_40) & v1_funct_2(all_0_11_11, all_34_2_42, all_34_0_40) % 8.97/2.66 | % 8.97/2.66 | Applying alpha-rule on (210) yields: % 8.97/2.66 | (211) k1_zfmisc_1(all_34_1_41) = all_34_0_40 % 8.97/2.66 | (212) u1_struct_0(all_0_15_15) = all_34_2_42 % 8.97/2.66 | (213) v1_funct_2(all_0_11_11, all_34_2_42, all_34_0_40) % 8.97/2.66 | (214) k7_lopclset(all_0_15_15) = all_34_1_41 % 8.97/2.66 | (215) m2_relset_1(all_0_11_11, all_34_2_42, all_34_0_40) % 8.97/2.66 | % 8.97/2.66 | Instantiating (196) with all_36_0_43 yields: % 8.97/2.66 | (216) k8_lopclset(all_0_15_15) = all_36_0_43 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) | ~ r2_hidden(v2, v1) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_0_14_14) | r2_hidden(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) | ~ r2_hidden(v2, v1) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_0_14_14) | v1_filter_0(v2, all_0_15_15)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) | ~ r2_hidden(v0, v2) | ~ v1_filter_0(v2, all_0_15_15) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_0_14_14) | r2_hidden(v2, v1)) % 8.97/2.66 | % 8.97/2.66 | Applying alpha-rule on (216) yields: % 8.97/2.66 | (217) k8_lopclset(all_0_15_15) = all_36_0_43 % 8.97/2.66 | (218) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) | ~ r2_hidden(v2, v1) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_0_14_14) | r2_hidden(v0, v2)) % 8.97/2.66 | (219) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) | ~ r2_hidden(v2, v1) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_0_14_14) | v1_filter_0(v2, all_0_15_15)) % 8.97/2.66 | (220) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) | ~ r2_hidden(v0, v2) | ~ v1_filter_0(v2, all_0_15_15) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_0_14_14) | r2_hidden(v2, v1)) % 8.97/2.66 | % 8.97/2.66 | Instantiating (191) with all_39_0_44, all_39_1_45, all_39_2_46 yields: % 8.97/2.66 | (221) u1_struct_0(all_0_15_15) = all_39_2_46 & k1_zfmisc_1(all_39_1_45) = all_39_0_44 & k1_zfmisc_1(all_39_2_46) = all_39_1_45 & m1_subset_1(all_0_13_13, all_39_0_44) % 8.97/2.66 | % 8.97/2.66 | Applying alpha-rule on (221) yields: % 8.97/2.66 | (222) u1_struct_0(all_0_15_15) = all_39_2_46 % 8.97/2.66 | (223) k1_zfmisc_1(all_39_1_45) = all_39_0_44 % 8.97/2.66 | (224) k1_zfmisc_1(all_39_2_46) = all_39_1_45 % 8.97/2.66 | (225) m1_subset_1(all_0_13_13, all_39_0_44) % 8.97/2.66 | % 8.97/2.66 | Instantiating (195) with all_41_0_47, all_41_1_48, all_41_2_49 yields: % 8.97/2.66 | (226) k7_lopclset(all_0_15_15) = all_41_2_49 & k1_zfmisc_1(all_41_1_48) = all_41_0_47 & k1_zfmisc_1(all_0_14_14) = all_41_1_48 & m1_subset_1(all_41_2_49, all_41_0_47) % 8.97/2.66 | % 8.97/2.66 | Applying alpha-rule on (226) yields: % 8.97/2.66 | (227) k7_lopclset(all_0_15_15) = all_41_2_49 % 8.97/2.66 | (228) k1_zfmisc_1(all_41_1_48) = all_41_0_47 % 8.97/2.66 | (229) k1_zfmisc_1(all_0_14_14) = all_41_1_48 % 8.97/2.66 | (230) m1_subset_1(all_41_2_49, all_41_0_47) % 8.97/2.66 | % 8.97/2.66 | Instantiating (190) with all_43_0_50, all_43_1_51, all_43_2_52 yields: % 8.97/2.66 | (231) k9_lopclset(all_0_15_15) = all_43_2_52 & u1_struct_0(all_0_15_15) = all_43_1_51 & k1_zfmisc_1(all_0_13_13) = all_43_0_50 & m2_relset_1(all_43_2_52, all_43_1_51, all_43_0_50) & v1_funct_2(all_43_2_52, all_43_1_51, all_43_0_50) & v1_funct_1(all_43_2_52) % 8.97/2.66 | % 8.97/2.66 | Applying alpha-rule on (231) yields: % 8.97/2.66 | (232) k1_zfmisc_1(all_0_13_13) = all_43_0_50 % 8.97/2.66 | (233) v1_funct_2(all_43_2_52, all_43_1_51, all_43_0_50) % 8.97/2.66 | (234) v1_funct_1(all_43_2_52) % 8.97/2.66 | (235) u1_struct_0(all_0_15_15) = all_43_1_51 % 8.97/2.66 | (236) m2_relset_1(all_43_2_52, all_43_1_51, all_43_0_50) % 8.97/2.66 | (237) k9_lopclset(all_0_15_15) = all_43_2_52 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (6) with all_0_15_15, all_41_2_49, all_0_13_13 and discharging atoms k7_lopclset(all_0_15_15) = all_41_2_49, k7_lopclset(all_0_15_15) = all_0_13_13, yields: % 8.97/2.66 | (238) all_41_2_49 = all_0_13_13 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (6) with all_0_15_15, all_34_1_41, all_41_2_49 and discharging atoms k7_lopclset(all_0_15_15) = all_41_2_49, k7_lopclset(all_0_15_15) = all_34_1_41, yields: % 8.97/2.66 | (239) all_41_2_49 = all_34_1_41 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (6) with all_0_15_15, all_30_1_37, all_41_2_49 and discharging atoms k7_lopclset(all_0_15_15) = all_41_2_49, k7_lopclset(all_0_15_15) = all_30_1_37, yields: % 8.97/2.66 | (240) all_41_2_49 = all_30_1_37 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (58) with all_0_15_15, all_43_2_52, all_0_11_11 and discharging atoms k9_lopclset(all_0_15_15) = all_43_2_52, k9_lopclset(all_0_15_15) = all_0_11_11, yields: % 8.97/2.66 | (241) all_43_2_52 = all_0_11_11 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (58) with all_0_15_15, all_30_2_38, all_43_2_52 and discharging atoms k9_lopclset(all_0_15_15) = all_43_2_52, k9_lopclset(all_0_15_15) = all_30_2_38, yields: % 8.97/2.66 | (242) all_43_2_52 = all_30_2_38 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (89) with all_0_15_15, all_0_11_11, all_36_0_43 and discharging atoms k8_lopclset(all_0_15_15) = all_36_0_43, k8_lopclset(all_0_15_15) = all_0_11_11, yields: % 8.97/2.66 | (243) all_36_0_43 = all_0_11_11 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (113) with all_0_15_15, all_43_1_51, all_0_14_14 and discharging atoms u1_struct_0(all_0_15_15) = all_43_1_51, u1_struct_0(all_0_15_15) = all_0_14_14, yields: % 8.97/2.66 | (244) all_43_1_51 = all_0_14_14 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (113) with all_0_15_15, all_39_2_46, all_43_1_51 and discharging atoms u1_struct_0(all_0_15_15) = all_43_1_51, u1_struct_0(all_0_15_15) = all_39_2_46, yields: % 8.97/2.66 | (245) all_43_1_51 = all_39_2_46 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (113) with all_0_15_15, all_34_2_42, all_43_1_51 and discharging atoms u1_struct_0(all_0_15_15) = all_43_1_51, u1_struct_0(all_0_15_15) = all_34_2_42, yields: % 8.97/2.66 | (246) all_43_1_51 = all_34_2_42 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (94) with all_0_13_13, all_43_0_50, all_0_12_12 and discharging atoms k1_zfmisc_1(all_0_13_13) = all_43_0_50, k1_zfmisc_1(all_0_13_13) = all_0_12_12, yields: % 8.97/2.66 | (247) all_43_0_50 = all_0_12_12 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (94) with all_0_14_14, all_26_0_35, all_41_1_48 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_41_1_48, k1_zfmisc_1(all_0_14_14) = all_26_0_35, yields: % 8.97/2.66 | (248) all_41_1_48 = all_26_0_35 % 8.97/2.66 | % 8.97/2.66 | Combining equations (246,245) yields a new equation: % 8.97/2.66 | (249) all_39_2_46 = all_34_2_42 % 8.97/2.66 | % 8.97/2.66 | Combining equations (244,245) yields a new equation: % 8.97/2.66 | (250) all_39_2_46 = all_0_14_14 % 8.97/2.66 | % 8.97/2.66 | Combining equations (241,242) yields a new equation: % 8.97/2.66 | (251) all_30_2_38 = all_0_11_11 % 8.97/2.66 | % 8.97/2.66 | Combining equations (238,239) yields a new equation: % 8.97/2.66 | (252) all_34_1_41 = all_0_13_13 % 8.97/2.66 | % 8.97/2.66 | Combining equations (240,239) yields a new equation: % 8.97/2.66 | (253) all_34_1_41 = all_30_1_37 % 8.97/2.66 | % 8.97/2.66 | Combining equations (249,250) yields a new equation: % 8.97/2.66 | (254) all_34_2_42 = all_0_14_14 % 8.97/2.66 | % 8.97/2.66 | Simplifying 254 yields: % 8.97/2.66 | (255) all_34_2_42 = all_0_14_14 % 8.97/2.66 | % 8.97/2.66 | Combining equations (253,252) yields a new equation: % 8.97/2.66 | (256) all_30_1_37 = all_0_13_13 % 8.97/2.66 | % 8.97/2.66 | Simplifying 256 yields: % 8.97/2.66 | (257) all_30_1_37 = all_0_13_13 % 8.97/2.66 | % 8.97/2.66 | From (243) and (217) follows: % 8.97/2.66 | (192) k8_lopclset(all_0_15_15) = all_0_11_11 % 8.97/2.66 | % 8.97/2.66 | From (255) and (212) follows: % 8.97/2.66 | (47) u1_struct_0(all_0_15_15) = all_0_14_14 % 8.97/2.66 | % 8.97/2.66 | From (250) and (224) follows: % 8.97/2.66 | (260) k1_zfmisc_1(all_0_14_14) = all_39_1_45 % 8.97/2.66 | % 8.97/2.66 | From (252) and (211) follows: % 8.97/2.66 | (261) k1_zfmisc_1(all_0_13_13) = all_34_0_40 % 8.97/2.66 | % 8.97/2.66 | From (257) and (205) follows: % 8.97/2.66 | (262) k1_zfmisc_1(all_0_13_13) = all_30_0_36 % 8.97/2.66 | % 8.97/2.66 | From (247) and (232) follows: % 8.97/2.66 | (98) k1_zfmisc_1(all_0_13_13) = all_0_12_12 % 8.97/2.66 | % 8.97/2.66 | From (248) and (229) follows: % 8.97/2.66 | (199) k1_zfmisc_1(all_0_14_14) = all_26_0_35 % 8.97/2.66 | % 8.97/2.66 | From (251) and (206) follows: % 8.97/2.66 | (265) m2_relset_1(all_0_11_11, all_0_14_14, all_30_0_36) % 8.97/2.66 | % 8.97/2.66 | From (251) and (209) follows: % 8.97/2.66 | (266) v1_funct_2(all_0_11_11, all_0_14_14, all_30_0_36) % 8.97/2.66 | % 8.97/2.66 | From (251) and (204) follows: % 8.97/2.66 | (267) v1_funct_1(all_0_11_11) % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (94) with all_0_13_13, all_34_0_40, all_0_12_12 and discharging atoms k1_zfmisc_1(all_0_13_13) = all_34_0_40, k1_zfmisc_1(all_0_13_13) = all_0_12_12, yields: % 8.97/2.66 | (268) all_34_0_40 = all_0_12_12 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (94) with all_0_13_13, all_30_0_36, all_34_0_40 and discharging atoms k1_zfmisc_1(all_0_13_13) = all_34_0_40, k1_zfmisc_1(all_0_13_13) = all_30_0_36, yields: % 8.97/2.66 | (269) all_34_0_40 = all_30_0_36 % 8.97/2.66 | % 8.97/2.66 | Instantiating formula (94) with all_0_14_14, all_39_1_45, all_26_0_35 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_39_1_45, k1_zfmisc_1(all_0_14_14) = all_26_0_35, yields: % 8.97/2.66 | (270) all_39_1_45 = all_26_0_35 % 8.97/2.66 | % 8.97/2.66 | Combining equations (269,268) yields a new equation: % 8.97/2.66 | (271) all_30_0_36 = all_0_12_12 % 8.97/2.66 | % 8.97/2.66 | Simplifying 271 yields: % 8.97/2.66 | (272) all_30_0_36 = all_0_12_12 % 8.97/2.66 | % 8.97/2.66 | From (270) and (260) follows: % 8.97/2.66 | (199) k1_zfmisc_1(all_0_14_14) = all_26_0_35 % 8.97/2.66 | % 8.97/2.66 | From (272) and (265) follows: % 8.97/2.67 | (274) m2_relset_1(all_0_11_11, all_0_14_14, all_0_12_12) % 8.97/2.67 | % 8.97/2.67 | From (272) and (266) follows: % 8.97/2.67 | (275) v1_funct_2(all_0_11_11, all_0_14_14, all_0_12_12) % 8.97/2.67 | % 8.97/2.67 | Instantiating formula (145) with all_0_11_11, all_0_15_15 and discharging atoms k8_lopclset(all_0_15_15) = all_0_11_11, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_realset2(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields: % 8.97/2.67 | (276) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_funct_1(all_0_11_11, v1) = v2) | ~ r2_hidden(v3, v2) | ~ m1_filter_0(v3, all_0_15_15) | ~ m1_subset_1(v1, v0) | r2_hidden(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_funct_1(all_0_11_11, v1) = v2) | ~ r2_hidden(v3, v2) | ~ m1_filter_0(v3, all_0_15_15) | ~ m1_subset_1(v1, v0) | v1_filter_0(v3, all_0_15_15)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_funct_1(all_0_11_11, v1) = v2) | ~ r2_hidden(v1, v3) | ~ v1_filter_0(v3, all_0_15_15) | ~ m1_filter_0(v3, all_0_15_15) | ~ m1_subset_1(v1, v0) | r2_hidden(v3, v2))) % 8.97/2.67 | % 8.97/2.67 | Instantiating formula (147) with all_0_11_11, all_0_12_12, all_0_14_14 and discharging atoms m2_relset_1(all_0_11_11, all_0_14_14, all_0_12_12), yields: % 8.97/2.67 | (277) m1_relset_1(all_0_11_11, all_0_14_14, all_0_12_12) % 8.97/2.67 | % 8.97/2.67 | Instantiating formula (172) with all_0_15_15 and discharging atoms l1_lattices(all_0_15_15), yields: % 8.97/2.67 | (278) l1_struct_0(all_0_15_15) % 8.97/2.67 | % 8.97/2.67 | Instantiating (276) with all_63_0_53 yields: % 8.97/2.67 | (279) u1_struct_0(all_0_15_15) = all_63_0_53 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) | ~ r2_hidden(v2, v1) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_63_0_53) | r2_hidden(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) | ~ r2_hidden(v2, v1) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_63_0_53) | v1_filter_0(v2, all_0_15_15)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) | ~ r2_hidden(v0, v2) | ~ v1_filter_0(v2, all_0_15_15) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_63_0_53) | r2_hidden(v2, v1)) % 8.97/2.67 | % 8.97/2.67 | Applying alpha-rule on (279) yields: % 8.97/2.67 | (280) u1_struct_0(all_0_15_15) = all_63_0_53 % 8.97/2.67 | (281) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) | ~ r2_hidden(v2, v1) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_63_0_53) | r2_hidden(v0, v2)) % 8.97/2.67 | (282) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) | ~ r2_hidden(v2, v1) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_63_0_53) | v1_filter_0(v2, all_0_15_15)) % 8.97/2.67 | (283) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) | ~ r2_hidden(v0, v2) | ~ v1_filter_0(v2, all_0_15_15) | ~ m1_filter_0(v2, all_0_15_15) | ~ m1_subset_1(v0, all_63_0_53) | r2_hidden(v2, v1)) % 8.97/2.67 | % 8.97/2.67 | Instantiating formula (113) with all_0_15_15, all_63_0_53, all_0_14_14 and discharging atoms u1_struct_0(all_0_15_15) = all_63_0_53, u1_struct_0(all_0_15_15) = all_0_14_14, yields: % 8.97/2.67 | (284) all_63_0_53 = all_0_14_14 % 8.97/2.67 | % 8.97/2.67 | From (284) and (280) follows: % 8.97/2.67 | (47) u1_struct_0(all_0_15_15) = all_0_14_14 % 8.97/2.67 | % 8.97/2.67 | Instantiating formula (129) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l1_struct_0(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields: % 8.97/2.67 | (286) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_14_14) = v0 & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 8.97/2.67 | % 8.97/2.67 | Instantiating formula (17) with all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_14_14 and discharging atoms k8_funct_2(all_0_14_14, all_0_12_12, all_0_11_11, all_0_10_10) = all_0_9_9, v1_funct_2(all_0_11_11, all_0_14_14, all_0_12_12), v1_funct_1(all_0_11_11), m1_relset_1(all_0_11_11, all_0_14_14, all_0_12_12), m1_subset_1(all_0_10_10, all_0_14_14), yields: % 8.97/2.67 | (287) k1_funct_1(all_0_11_11, all_0_10_10) = all_0_9_9 | v1_xboole_0(all_0_14_14) % 8.97/2.67 | % 8.97/2.67 | Instantiating (286) with all_76_0_54, all_76_1_55 yields: % 8.97/2.67 | (288) k1_zfmisc_1(all_0_14_14) = all_76_1_55 & m1_subset_1(all_76_0_54, all_76_1_55) & ~ v1_xboole_0(all_76_0_54) % 8.97/2.67 | % 8.97/2.67 | Applying alpha-rule on (288) yields: % 8.97/2.67 | (289) k1_zfmisc_1(all_0_14_14) = all_76_1_55 % 8.97/2.67 | (290) m1_subset_1(all_76_0_54, all_76_1_55) % 8.97/2.67 | (291) ~ v1_xboole_0(all_76_0_54) % 8.97/2.67 | % 8.97/2.67 | Instantiating formula (94) with all_0_14_14, all_76_1_55, all_26_0_35 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_76_1_55, k1_zfmisc_1(all_0_14_14) = all_26_0_35, yields: % 8.97/2.67 | (292) all_76_1_55 = all_26_0_35 % 8.97/2.67 | % 8.97/2.67 | From (292) and (289) follows: % 8.97/2.67 | (199) k1_zfmisc_1(all_0_14_14) = all_26_0_35 % 8.97/2.67 | % 8.97/2.67 +-Applying beta-rule and splitting (188), into two cases. % 8.97/2.67 |-Branch one: % 8.97/2.67 | (294) v1_xboole_0(all_0_14_14) % 8.97/2.67 | % 8.97/2.67 | Instantiating formula (158) with all_26_0_35, all_0_14_14, all_0_8_8, all_0_10_10 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_26_0_35, v1_xboole_0(all_0_14_14), r2_hidden(all_0_10_10, all_0_8_8), m1_subset_1(all_0_8_8, all_26_0_35), yields: % 8.97/2.67 | (295) $false % 8.97/2.67 | % 8.97/2.67 |-The branch is then unsatisfiable % 8.97/2.67 |-Branch two: % 8.97/2.67 | (296) ~ v1_xboole_0(all_0_14_14) % 8.97/2.67 | (297) r2_hidden(all_0_10_10, all_0_14_14) % 8.97/2.67 | % 8.97/2.67 +-Applying beta-rule and splitting (287), into two cases. % 8.97/2.67 |-Branch one: % 8.97/2.67 | (294) v1_xboole_0(all_0_14_14) % 8.97/2.67 | % 8.97/2.67 | Using (294) and (296) yields: % 8.97/2.67 | (295) $false % 8.97/2.67 | % 8.97/2.67 |-The branch is then unsatisfiable % 8.97/2.67 |-Branch two: % 8.97/2.67 | (296) ~ v1_xboole_0(all_0_14_14) % 8.97/2.67 | (301) k1_funct_1(all_0_11_11, all_0_10_10) = all_0_9_9 % 8.97/2.67 | % 8.97/2.67 | Instantiating formula (220) with all_0_8_8, all_0_9_9, all_0_10_10 and discharging atoms r2_hidden(all_0_10_10, all_0_8_8), v1_filter_0(all_0_8_8, all_0_15_15), m1_filter_0(all_0_8_8, all_0_15_15), m1_subset_1(all_0_10_10, all_0_14_14), ~ r2_hidden(all_0_8_8, all_0_9_9), yields: % 8.97/2.67 | (302) ~ (k1_funct_1(all_36_0_43, all_0_10_10) = all_0_9_9) % 8.97/2.67 | % 8.97/2.67 | From (243) and (302) follows: % 8.97/2.67 | (303) ~ (k1_funct_1(all_0_11_11, all_0_10_10) = all_0_9_9) % 8.97/2.67 | % 8.97/2.67 | Using (301) and (303) yields: % 8.97/2.67 | (295) $false % 8.97/2.67 | % 8.97/2.67 |-The branch is then unsatisfiable % 8.97/2.67 % SZS output end Proof for theBenchmark % 8.97/2.67 % 8.97/2.67 2097ms %------------------------------------------------------------------------------