%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : LAT379+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n008.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 04:33:58 EDT 2022 % Result : Theorem 5.26s 1.87s % Output : Proof 13.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : LAT379+1 : TPTP v8.1.0. Released v3.4.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n008.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 29 13:37:08 EDT 2022 % 0.12/0.34 % CPUTime : % 0.55/0.60 ____ _ % 0.55/0.60 ___ / __ \_____(_)___ ________ __________ % 0.55/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.55/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.55/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.55/0.60 % 0.55/0.60 A Theorem Prover for First-Order Logic % 0.55/0.60 (ePrincess v.1.0) % 0.55/0.60 % 0.55/0.60 (c) Philipp Rümmer, 2009-2015 % 0.55/0.60 (c) Peter Backeman, 2014-2015 % 0.55/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.55/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.55/0.60 Bug reports to peter@backeman.se % 0.55/0.60 % 0.55/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.55/0.60 % 0.55/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.72/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.02/1.05 Prover 0: Preprocessing ... % 3.33/1.45 Prover 0: Warning: ignoring some quantifiers % 3.68/1.49 Prover 0: Constructing countermodel ... % 5.26/1.87 Prover 0: proved (1221ms) % 5.26/1.87 % 5.26/1.87 No countermodel exists, formula is valid % 5.26/1.87 % SZS status Theorem for theBenchmark % 5.26/1.87 % 5.26/1.87 Generating proof ... Warning: ignoring some quantifiers % 12.62/3.56 found it (size 146) % 12.62/3.56 % 12.62/3.56 % SZS output start Proof for theBenchmark % 12.62/3.56 Assumed formulas after preprocessing and simplification: % 12.62/3.56 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (u1_struct_0(v2) = v3 & u1_struct_0(v0) = v1 & l1_struct_0(v12) & l1_struct_0(v5) & v2_funct_1(v6) & v1_setfam_1(v8) & v1_relat_1(v10) & v1_relat_1(v7) & v1_relat_1(v6) & v1_finset_1(v11) & v1_xboole_0(v7) & v1_xboole_0(k1_xboole_0) & v5_membered(v9) & v5_membered(k1_xboole_0) & v4_membered(v9) & v4_membered(k1_xboole_0) & v3_membered(v9) & v3_membered(k1_xboole_0) & v2_membered(v9) & v2_membered(k1_xboole_0) & v1_membered(v9) & v1_membered(k1_xboole_0) & v4_waybel34(v4, v0, v2) & m2_relset_1(v4, v1, v3) & v1_funct_2(v4, v1, v3) & v1_funct_1(v10) & v1_funct_1(v7) & v1_funct_1(v6) & v1_funct_1(v4) & l1_orders_2(v13) & l1_orders_2(v2) & l1_orders_2(v0) & ~ v1_xboole_0(v11) & ~ v1_xboole_0(v9) & ~ v1_xboole_0(v8) & ~ v3_struct_0(v5) & ~ v3_struct_0(v2) & ~ v3_struct_0(v0) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (u1_struct_0(v16) = v17) | ~ (u1_struct_0(v14) = v15) | ~ (k2_struct_0(v14, v19, v20) = v21) | ~ m1_subset_1(v20, v15) | ~ m1_subset_1(v19, v15) | ~ v20_waybel_0(v18, v14, v16) | ~ m2_relset_1(v18, v15, v17) | ~ v1_funct_2(v18, v15, v17) | ~ v1_funct_1(v18) | ~ l1_orders_2(v16) | ~ l1_orders_2(v14) | r4_waybel_0(v14, v16, v18, v21) | v3_struct_0(v16) | v3_struct_0(v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = v14 | ~ (k2_struct_0(v18, v17, v16) = v15) | ~ (k2_struct_0(v18, v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_tarski(v15, v16) = v18) | ~ (u1_struct_0(v14) = v17) | ~ l1_struct_0(v14) | ~ m1_subset_1(v16, v17) | ~ m1_subset_1(v15, v17) | k2_struct_0(v14, v15, v16) = v18 | v3_struct_0(v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v16) = v17) | ~ (u1_struct_0(v14) = v15) | ~ m2_relset_1(v18, v15, v17) | ~ v1_funct_2(v18, v15, v17) | ~ v1_funct_1(v18) | ~ l1_orders_2(v16) | ~ l1_orders_2(v14) | v20_waybel_0(v18, v14, v16) | v3_struct_0(v16) | v3_struct_0(v14) | ? [v19] : ? [v20] : ? [v21] : (k2_struct_0(v14, v19, v20) = v21 & m1_subset_1(v20, v15) & m1_subset_1(v19, v15) & ~ r4_waybel_0(v14, v16, v18, v21))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (k2_tarski(v17, v16) = v15) | ~ (k2_tarski(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (k2_zfmisc_1(v17, v16) = v15) | ~ (k2_zfmisc_1(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k2_struct_0(v14, v16, v15) = v17) | ~ l1_struct_0(v14) | v3_struct_0(v14) | ? [v18] : ? [v19] : (u1_struct_0(v14) = v18 & k2_struct_0(v14, v15, v16) = v19 & (v19 = v17 | ~ m1_subset_1(v16, v18) | ~ m1_subset_1(v15, v18)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k2_struct_0(v14, v15, v16) = v17) | ~ l1_struct_0(v14) | v3_struct_0(v14) | ? [v18] : ? [v19] : (k2_tarski(v15, v16) = v19 & u1_struct_0(v14) = v18 & (v19 = v17 | ~ m1_subset_1(v16, v18) | ~ m1_subset_1(v15, v18)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k2_struct_0(v14, v15, v16) = v17) | ~ l1_struct_0(v14) | v3_struct_0(v14) | ? [v18] : ? [v19] : (u1_struct_0(v14) = v18 & k2_struct_0(v14, v16, v15) = v19 & (v19 = v17 | ~ m1_subset_1(v16, v18) | ~ m1_subset_1(v15, v18)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k2_struct_0(v14, v15, v16) = v17) | ~ l1_struct_0(v14) | v3_struct_0(v14) | ? [v18] : ? [v19] : (u1_struct_0(v14) = v18 & k1_zfmisc_1(v18) = v19 & ( ~ m1_subset_1(v16, v18) | ~ m1_subset_1(v15, v18) | m1_subset_1(v17, v19)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k2_zfmisc_1(v14, v15) = v17) | ~ m2_relset_1(v16, v14, v15) | ? [v18] : (k1_zfmisc_1(v17) = v18 & m1_subset_1(v16, v18))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v1_xboole_0(v16) | ~ m1_subset_1(v15, v17) | ~ r2_hidden(v14, v15)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ m1_subset_1(v15, v17) | ~ r2_hidden(v14, v15) | m1_subset_1(v14, v16)) & ? [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k2_zfmisc_1(v15, v16) = v17) | v1_relat_1(v14) | ? [v18] : (k1_zfmisc_1(v17) = v18 & ~ m1_subset_1(v14, v18))) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (k1_pre_topc(v16) = v15) | ~ (k1_pre_topc(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (u1_struct_0(v16) = v15) | ~ (u1_struct_0(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (k1_zfmisc_1(v16) = v15) | ~ (k1_zfmisc_1(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v15, v14) = v16) | k2_tarski(v14, v15) = v16) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_xboole_0(v16) | v1_xboole_0(v15) | v1_xboole_0(v14)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_xboole_0(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v4_ordinal2(v15) | ~ v4_ordinal2(v14) | v5_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v4_ordinal2(v15) | ~ v4_ordinal2(v14) | v4_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v4_ordinal2(v15) | ~ v4_ordinal2(v14) | v3_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v4_ordinal2(v15) | ~ v4_ordinal2(v14) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v4_ordinal2(v15) | ~ v4_ordinal2(v14) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_int_1(v15) | ~ v1_int_1(v14) | v4_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_int_1(v15) | ~ v1_int_1(v14) | v3_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_int_1(v15) | ~ v1_int_1(v14) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_int_1(v15) | ~ v1_int_1(v14) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_rat_1(v15) | ~ v1_rat_1(v14) | v3_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_rat_1(v15) | ~ v1_rat_1(v14) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_rat_1(v15) | ~ v1_rat_1(v14) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_xreal_0(v15) | ~ v1_xreal_0(v14) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_xreal_0(v15) | ~ v1_xreal_0(v14) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | ~ v1_xcmplx_0(v15) | ~ v1_xcmplx_0(v14) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | k2_tarski(v15, v14) = v16) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | v1_setfam_1(v16) | v1_xboole_0(v15) | v1_xboole_0(v14)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_tarski(v14, v15) = v16) | v1_finset_1(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k2_zfmisc_1(v14, v15) = v16) | ~ v1_finset_1(v15) | ~ v1_finset_1(v14) | v1_finset_1(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ r1_tarski(v14, v15) | m1_subset_1(v14, v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ m1_subset_1(v14, v16) | r1_tarski(v14, v15)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v1_finset_1(v14) | ~ m1_subset_1(v16, v15) | v1_finset_1(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v5_membered(v14) | ~ m1_subset_1(v16, v15) | v5_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v5_membered(v14) | ~ m1_subset_1(v16, v15) | v4_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v5_membered(v14) | ~ m1_subset_1(v16, v15) | v3_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v5_membered(v14) | ~ m1_subset_1(v16, v15) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v5_membered(v14) | ~ m1_subset_1(v16, v15) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v4_membered(v14) | ~ m1_subset_1(v16, v15) | v4_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v4_membered(v14) | ~ m1_subset_1(v16, v15) | v3_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v4_membered(v14) | ~ m1_subset_1(v16, v15) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v4_membered(v14) | ~ m1_subset_1(v16, v15) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v3_membered(v14) | ~ m1_subset_1(v16, v15) | v3_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v3_membered(v14) | ~ m1_subset_1(v16, v15) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v3_membered(v14) | ~ m1_subset_1(v16, v15) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v2_membered(v14) | ~ m1_subset_1(v16, v15) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v2_membered(v14) | ~ m1_subset_1(v16, v15) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ m1_subset_1(v16, v15) | ~ v1_membered(v14) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ m1_relset_1(v16, v14, v15) | m2_relset_1(v16, v14, v15)) & ! [v14] : ! [v15] : ! [v16] : ( ~ m2_relset_1(v16, v14, v15) | m1_relset_1(v16, v14, v15)) & ! [v14] : ! [v15] : (v15 = v14 | ~ v1_xboole_0(v15) | ~ v1_xboole_0(v14)) & ! [v14] : ! [v15] : (v15 = k1_xboole_0 | ~ (k1_pre_topc(v14) = v15) | ~ l1_struct_0(v14)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_struct_0(v14) | v1_xboole_0(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_struct_0(v14) | v5_membered(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_struct_0(v14) | v4_membered(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_struct_0(v14) | v3_membered(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_struct_0(v14) | v2_membered(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_struct_0(v14) | v1_membered(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_struct_0(v14) | ? [v16] : ? [v17] : (u1_struct_0(v14) = v16 & k1_zfmisc_1(v16) = v17 & m1_subset_1(v15, v17))) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v13_waybel_0(v15, v14)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v12_waybel_0(v15, v14)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v2_waybel_0(v15, v14)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v1_waybel_0(v15, v14)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v5_orders_2(v15, v14)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v1_finset_1(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v1_xboole_0(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v5_membered(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v4_membered(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v3_membered(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v2_membered(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v1_membered(v15)) & ! [v14] : ! [v15] : ( ~ (k1_pre_topc(v14) = v15) | ~ l1_orders_2(v14) | v3_struct_0(v14) | ? [v16] : (u1_struct_0(v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (u1_struct_0(v17) = v18) | ~ r4_waybel_0(v14, v17, v19, v15) | ~ m2_relset_1(v19, v16, v18) | ~ v1_funct_2(v19, v16, v18) | ~ v1_funct_1(v19) | ~ l1_orders_2(v17) | v5_waybel34(v19, v14, v17) | v3_struct_0(v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (u1_struct_0(v17) = v18) | ~ v5_waybel34(v19, v14, v17) | ~ m2_relset_1(v19, v16, v18) | ~ v1_funct_2(v19, v16, v18) | ~ v1_funct_1(v19) | ~ l1_orders_2(v17) | r4_waybel_0(v14, v17, v19, v15) | v3_struct_0(v17)))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_struct_0(v14) | ~ v1_xboole_0(v15) | v3_struct_0(v14)) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_struct_0(v14) | v3_struct_0(v14) | ? [v16] : ? [v17] : (k1_zfmisc_1(v15) = v16 & m1_subset_1(v17, v16) & ~ v1_xboole_0(v17))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_struct_0(v14) | ? [v16] : ? [v17] : (k1_pre_topc(v14) = v16 & k1_zfmisc_1(v15) = v17 & m1_subset_1(v16, v17))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_orders_2(v14) | v3_struct_0(v14) | ? [v16] : ? [v17] : (k1_zfmisc_1(v15) = v16 & v13_waybel_0(v17, v14) & v12_waybel_0(v17, v14) & m1_subset_1(v17, v16) & ~ v1_xboole_0(v17))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_orders_2(v14) | v3_struct_0(v14) | ? [v16] : (k1_pre_topc(v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (u1_struct_0(v17) = v18) | ~ r4_waybel_0(v14, v17, v19, v16) | ~ m2_relset_1(v19, v15, v18) | ~ v1_funct_2(v19, v15, v18) | ~ v1_funct_1(v19) | ~ l1_orders_2(v17) | v5_waybel34(v19, v14, v17) | v3_struct_0(v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (u1_struct_0(v17) = v18) | ~ v5_waybel34(v19, v14, v17) | ~ m2_relset_1(v19, v15, v18) | ~ v1_funct_2(v19, v15, v18) | ~ v1_funct_1(v19) | ~ l1_orders_2(v17) | r4_waybel_0(v14, v17, v19, v16) | v3_struct_0(v17)))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_orders_2(v14) | v3_struct_0(v14) | ? [v16] : (k1_zfmisc_1(v15) = v16 & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (u1_struct_0(v17) = v18) | ~ v1_finset_1(v20) | ~ m1_subset_1(v20, v16) | ~ v4_waybel34(v19, v14, v17) | ~ m2_relset_1(v19, v15, v18) | ~ v1_funct_2(v19, v15, v18) | ~ v1_funct_1(v19) | ~ l1_orders_2(v17) | r4_waybel_0(v14, v17, v19, v20) | v3_struct_0(v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (u1_struct_0(v17) = v18) | ~ m2_relset_1(v19, v15, v18) | ~ v1_funct_2(v19, v15, v18) | ~ v1_funct_1(v19) | ~ l1_orders_2(v17) | v4_waybel34(v19, v14, v17) | v3_struct_0(v17) | ? [v20] : (v1_finset_1(v20) & m1_subset_1(v20, v16) & ~ r4_waybel_0(v14, v17, v19, v20))))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_orders_2(v14) | ? [v16] : ? [v17] : (k1_zfmisc_1(v15) = v16 & v13_waybel_0(v17, v14) & v12_waybel_0(v17, v14) & m1_subset_1(v17, v16))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_orders_2(v14) | ? [v16] : ? [v17] : (k1_zfmisc_1(v15) = v16 & v2_waybel_0(v17, v14) & v1_waybel_0(v17, v14) & m1_subset_1(v17, v16))) & ! [v14] : ! [v15] : ( ~ (k1_zfmisc_1(v14) = v15) | v1_xboole_0(v14) | ? [v16] : (v1_finset_1(v16) & m1_subset_1(v16, v15) & ~ v1_xboole_0(v16))) & ! [v14] : ! [v15] : ( ~ v1_setfam_1(v14) | ~ v1_xboole_0(v15) | ~ m1_subset_1(v15, v14) | v1_xboole_0(v14)) & ! [v14] : ! [v15] : ( ~ v1_xboole_0(v15) | ~ r2_hidden(v14, v15)) & ! [v14] : ! [v15] : ( ~ v5_membered(v14) | ~ m1_subset_1(v15, v14) | v4_ordinal2(v15)) & ! [v14] : ! [v15] : ( ~ v5_membered(v14) | ~ m1_subset_1(v15, v14) | v1_int_1(v15)) & ! [v14] : ! [v15] : ( ~ v5_membered(v14) | ~ m1_subset_1(v15, v14) | v1_rat_1(v15)) & ! [v14] : ! [v15] : ( ~ v5_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xreal_0(v15)) & ! [v14] : ! [v15] : ( ~ v5_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xcmplx_0(v15)) & ! [v14] : ! [v15] : ( ~ v4_membered(v14) | ~ m1_subset_1(v15, v14) | v1_int_1(v15)) & ! [v14] : ! [v15] : ( ~ v4_membered(v14) | ~ m1_subset_1(v15, v14) | v1_rat_1(v15)) & ! [v14] : ! [v15] : ( ~ v4_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xreal_0(v15)) & ! [v14] : ! [v15] : ( ~ v4_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xcmplx_0(v15)) & ! [v14] : ! [v15] : ( ~ v3_membered(v14) | ~ m1_subset_1(v15, v14) | v1_rat_1(v15)) & ! [v14] : ! [v15] : ( ~ v3_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xreal_0(v15)) & ! [v14] : ! [v15] : ( ~ v3_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xcmplx_0(v15)) & ! [v14] : ! [v15] : ( ~ v2_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xreal_0(v15)) & ! [v14] : ! [v15] : ( ~ v2_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xcmplx_0(v15)) & ! [v14] : ! [v15] : ( ~ m1_subset_1(v15, v14) | ~ v1_membered(v14) | v1_xcmplx_0(v15)) & ! [v14] : ! [v15] : ( ~ m1_subset_1(v14, v15) | v1_xboole_0(v15) | r2_hidden(v14, v15)) & ! [v14] : ! [v15] : ( ~ r2_hidden(v15, v14) | ~ r2_hidden(v14, v15)) & ! [v14] : ! [v15] : ( ~ r2_hidden(v14, v15) | m1_subset_1(v14, v15)) & ! [v14] : (v14 = k1_xboole_0 | ~ v1_xboole_0(v14)) & ! [v14] : ( ~ v1_relat_1(v14) | ~ v1_xboole_0(v14) | ~ v1_funct_1(v14) | v2_funct_1(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v1_finset_1(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v5_membered(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v4_membered(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v3_membered(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v2_membered(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v1_membered(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v1_funct_1(v14)) & ! [v14] : ( ~ v5_membered(v14) | v4_membered(v14)) & ! [v14] : ( ~ v4_membered(v14) | v3_membered(v14)) & ! [v14] : ( ~ v3_membered(v14) | v2_membered(v14)) & ! [v14] : ( ~ v2_membered(v14) | v1_membered(v14)) & ! [v14] : ( ~ l1_orders_2(v14) | l1_struct_0(v14)) & ? [v14] : ? [v15] : ? [v16] : m1_relset_1(v16, v14, v15) & ? [v14] : ? [v15] : ? [v16] : m2_relset_1(v16, v14, v15) & ? [v14] : ? [v15] : m1_subset_1(v15, v14) & ? [v14] : r1_tarski(v14, v14) & ( ~ v5_waybel34(v4, v0, v2) | ~ v20_waybel_0(v4, v0, v2))) % 12.83/3.62 | 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 yields: % 12.83/3.62 | (1) u1_struct_0(all_0_11_11) = all_0_10_10 & u1_struct_0(all_0_13_13) = all_0_12_12 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_8_8) & v2_funct_1(all_0_7_7) & v1_setfam_1(all_0_5_5) & v1_relat_1(all_0_3_3) & v1_relat_1(all_0_6_6) & v1_relat_1(all_0_7_7) & v1_finset_1(all_0_2_2) & v1_xboole_0(all_0_6_6) & v1_xboole_0(k1_xboole_0) & v5_membered(all_0_4_4) & v5_membered(k1_xboole_0) & v4_membered(all_0_4_4) & v4_membered(k1_xboole_0) & v3_membered(all_0_4_4) & v3_membered(k1_xboole_0) & v2_membered(all_0_4_4) & v2_membered(k1_xboole_0) & v1_membered(all_0_4_4) & v1_membered(k1_xboole_0) & v4_waybel34(all_0_9_9, all_0_13_13, all_0_11_11) & m2_relset_1(all_0_9_9, all_0_12_12, all_0_10_10) & v1_funct_2(all_0_9_9, all_0_12_12, all_0_10_10) & v1_funct_1(all_0_3_3) & v1_funct_1(all_0_6_6) & v1_funct_1(all_0_7_7) & v1_funct_1(all_0_9_9) & l1_orders_2(all_0_0_0) & l1_orders_2(all_0_11_11) & l1_orders_2(all_0_13_13) & ~ v1_xboole_0(all_0_2_2) & ~ v1_xboole_0(all_0_4_4) & ~ v1_xboole_0(all_0_5_5) & ~ v3_struct_0(all_0_8_8) & ~ v3_struct_0(all_0_11_11) & ~ v3_struct_0(all_0_13_13) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ (k2_struct_0(v0, v5, v6) = v7) | ~ m1_subset_1(v6, v1) | ~ m1_subset_1(v5, v1) | ~ v20_waybel_0(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | r4_waybel_0(v0, v2, v4, v7) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k2_struct_0(v4, v3, v2) = v1) | ~ (k2_struct_0(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_tarski(v1, v2) = v4) | ~ (u1_struct_0(v0) = v3) | ~ l1_struct_0(v0) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | k2_struct_0(v0, v1, v2) = v4 | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ m2_relset_1(v4, v1, v3) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | v20_waybel_0(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0) | ? [v5] : ? [v6] : ? [v7] : (k2_struct_0(v0, v5, v6) = v7 & m1_subset_1(v6, v1) & m1_subset_1(v5, v1) & ~ r4_waybel_0(v0, v2, v4, v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_tarski(v3, v2) = v1) | ~ (k2_tarski(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_struct_0(v0, v2, v1) = v3) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k2_struct_0(v0, v1, v2) = v5 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_struct_0(v0, v1, v2) = v3) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k2_tarski(v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_struct_0(v0, v1, v2) = v3) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k2_struct_0(v0, v2, v1) = v5 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_struct_0(v0, v1, v2) = v3) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k1_zfmisc_1(v4) = v5 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v5)))) & ! [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) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | 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 | ~ (k1_pre_topc(v2) = v1) | ~ (k1_pre_topc(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] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xboole_0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v4_ordinal2(v1) | ~ v4_ordinal2(v0) | v5_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v4_ordinal2(v1) | ~ v4_ordinal2(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v4_ordinal2(v1) | ~ v4_ordinal2(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v4_ordinal2(v1) | ~ v4_ordinal2(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v4_ordinal2(v1) | ~ v4_ordinal2(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_int_1(v1) | ~ v1_int_1(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_int_1(v1) | ~ v1_int_1(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_int_1(v1) | ~ v1_int_1(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_int_1(v1) | ~ v1_int_1(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_rat_1(v1) | ~ v1_rat_1(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_rat_1(v1) | ~ v1_rat_1(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_rat_1(v1) | ~ v1_rat_1(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xreal_0(v1) | ~ v1_xreal_0(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xreal_0(v1) | ~ v1_xreal_0(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xcmplx_0(v1) | ~ v1_xcmplx_0(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | v1_setfam_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | v1_finset_1(v2)) & ! [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) | ~ m1_subset_1(v2, v1) | ~ v1_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : (v1 = k1_xboole_0 | ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v5_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v4_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v3_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v2_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v1_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v3))) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v13_waybel_0(v1, v0)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v12_waybel_0(v1, v0)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v2_waybel_0(v1, v0)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v1_waybel_0(v1, v0)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v5_orders_2(v1, v0)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v1_finset_1(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v5_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v4_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v3_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v2_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v1_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (u1_struct_0(v3) = v4) | ~ r4_waybel_0(v0, v3, v5, v1) | ~ m2_relset_1(v5, v2, v4) | ~ v1_funct_2(v5, v2, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | v5_waybel34(v5, v0, v3) | v3_struct_0(v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (u1_struct_0(v3) = v4) | ~ v5_waybel34(v5, v0, v3) | ~ m2_relset_1(v5, v2, v4) | ~ v1_funct_2(v5, v2, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | r4_waybel_0(v0, v3, v5, v1) | v3_struct_0(v3)))) & ! [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) | ~ l1_struct_0(v0) | ? [v2] : ? [v3] : (k1_pre_topc(v0) = v2 & k1_zfmisc_1(v1) = v3 & m1_subset_1(v2, v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_orders_2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v13_waybel_0(v3, v0) & v12_waybel_0(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_orders_2(v0) | v3_struct_0(v0) | ? [v2] : (k1_pre_topc(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (u1_struct_0(v3) = v4) | ~ r4_waybel_0(v0, v3, v5, v2) | ~ m2_relset_1(v5, v1, v4) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | v5_waybel34(v5, v0, v3) | v3_struct_0(v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (u1_struct_0(v3) = v4) | ~ v5_waybel34(v5, v0, v3) | ~ m2_relset_1(v5, v1, v4) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | r4_waybel_0(v0, v3, v5, v2) | v3_struct_0(v3)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_orders_2(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (u1_struct_0(v3) = v4) | ~ v1_finset_1(v6) | ~ m1_subset_1(v6, v2) | ~ v4_waybel34(v5, v0, v3) | ~ m2_relset_1(v5, v1, v4) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | r4_waybel_0(v0, v3, v5, v6) | v3_struct_0(v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (u1_struct_0(v3) = v4) | ~ m2_relset_1(v5, v1, v4) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | v4_waybel34(v5, v0, v3) | v3_struct_0(v3) | ? [v6] : (v1_finset_1(v6) & m1_subset_1(v6, v2) & ~ r4_waybel_0(v0, v3, v5, v6))))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_orders_2(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v13_waybel_0(v3, v0) & v12_waybel_0(v3, v0) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_orders_2(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v2_waybel_0(v3, v0) & v1_waybel_0(v3, v0) & m1_subset_1(v3, v2))) & ! [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_setfam_1(v0) | ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v1_xboole_0(v0)) & ! [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] : ( ~ m1_subset_1(v1, v0) | ~ v1_membered(v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) & ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ v1_relat_1(v0) | ~ v1_xboole_0(v0) | ~ v1_funct_1(v0) | v2_funct_1(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] : ( ~ v1_xboole_0(v0) | v1_funct_1(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] : ( ~ l1_orders_2(v0) | l1_struct_0(v0)) & ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0) & ( ~ v5_waybel34(all_0_9_9, all_0_13_13, all_0_11_11) | ~ v20_waybel_0(all_0_9_9, all_0_13_13, all_0_11_11)) % 13.15/3.64 | % 13.15/3.64 | Applying alpha-rule on (1) yields: % 13.15/3.64 | (2) v2_funct_1(all_0_7_7) % 13.15/3.64 | (3) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1)) % 13.15/3.64 | (4) v5_membered(all_0_4_4) % 13.15/3.64 | (5) ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0)) % 13.15/3.64 | (6) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v12_waybel_0(v1, v0)) % 13.15/3.64 | (7) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) % 13.15/3.64 | (8) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v3_membered(v1)) % 13.15/3.64 | (9) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_orders_2(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (u1_struct_0(v3) = v4) | ~ v1_finset_1(v6) | ~ m1_subset_1(v6, v2) | ~ v4_waybel34(v5, v0, v3) | ~ m2_relset_1(v5, v1, v4) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | r4_waybel_0(v0, v3, v5, v6) | v3_struct_0(v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (u1_struct_0(v3) = v4) | ~ m2_relset_1(v5, v1, v4) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | v4_waybel34(v5, v0, v3) | v3_struct_0(v3) | ? [v6] : (v1_finset_1(v6) & m1_subset_1(v6, v2) & ~ r4_waybel_0(v0, v3, v5, v6))))) % 13.15/3.65 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_struct_0(v0, v2, v1) = v3) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k2_struct_0(v0, v1, v2) = v5 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) % 13.15/3.65 | (11) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v5_orders_2(v1, v0)) % 13.15/3.65 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | v1_setfam_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) % 13.15/3.65 | (13) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) % 13.15/3.65 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ (k2_struct_0(v0, v5, v6) = v7) | ~ m1_subset_1(v6, v1) | ~ m1_subset_1(v5, v1) | ~ v20_waybel_0(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | r4_waybel_0(v0, v2, v4, v7) | v3_struct_0(v2) | v3_struct_0(v0)) % 13.15/3.65 | (15) v1_funct_2(all_0_9_9, all_0_12_12, all_0_10_10) % 13.15/3.65 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_tarski(v1, v2) = v4) | ~ (u1_struct_0(v0) = v3) | ~ l1_struct_0(v0) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | k2_struct_0(v0, v1, v2) = v4 | v3_struct_0(v0)) % 13.15/3.65 | (17) ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0)) % 13.15/3.65 | (18) ! [v0] : ( ~ l1_orders_2(v0) | l1_struct_0(v0)) % 13.15/3.65 | (19) ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0)) % 13.15/3.65 | (20) ? [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))) % 13.15/3.65 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_rat_1(v1) | ~ v1_rat_1(v0) | v1_membered(v2)) % 13.15/3.65 | (22) v1_membered(k1_xboole_0) % 13.15/3.65 | (23) ! [v0] : ! [v1] : ( ~ m1_subset_1(v1, v0) | ~ v1_membered(v0) | v1_xcmplx_0(v1)) % 13.15/3.65 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) % 13.15/3.65 | (25) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) % 13.15/3.65 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xreal_0(v1) | ~ v1_xreal_0(v0) | v2_membered(v2)) % 13.15/3.65 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) % 13.15/3.65 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v5_membered(v2)) % 13.15/3.65 | (29) u1_struct_0(all_0_11_11) = all_0_10_10 % 13.15/3.65 | (30) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v5_membered(v1)) % 13.15/3.65 | (31) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ m1_subset_1(v2, v1) | ~ v1_membered(v0) | v1_membered(v2)) % 13.15/3.65 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v4_ordinal2(v1) | ~ v4_ordinal2(v0) | v1_membered(v2)) % 13.15/3.65 | (33) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_orders_2(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v13_waybel_0(v3, v0) & v12_waybel_0(v3, v0) & m1_subset_1(v3, v2))) % 13.15/3.65 | (34) v1_finset_1(all_0_2_2) % 13.15/3.65 | (35) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1)) % 13.15/3.65 | (36) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) % 13.15/3.65 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ m2_relset_1(v4, v1, v3) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | v20_waybel_0(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0) | ? [v5] : ? [v6] : ? [v7] : (k2_struct_0(v0, v5, v6) = v7 & m1_subset_1(v6, v1) & m1_subset_1(v5, v1) & ~ r4_waybel_0(v0, v2, v4, v7))) % 13.15/3.65 | (38) ! [v0] : ( ~ v1_xboole_0(v0) | v1_finset_1(v0)) % 13.15/3.65 | (39) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) % 13.15/3.65 | (40) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_orders_2(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v13_waybel_0(v3, v0) & v12_waybel_0(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) % 13.15/3.65 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2) % 13.15/3.65 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2) % 13.15/3.65 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) % 13.15/3.65 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_struct_0(v0, v1, v2) = v3) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k1_zfmisc_1(v4) = v5 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v5)))) % 13.15/3.65 | (45) m2_relset_1(all_0_9_9, all_0_12_12, all_0_10_10) % 13.15/3.65 | (46) v5_membered(k1_xboole_0) % 13.15/3.65 | (47) v2_membered(all_0_4_4) % 13.15/3.65 | (48) v4_waybel34(all_0_9_9, all_0_13_13, all_0_11_11) % 13.15/3.65 | (49) l1_struct_0(all_0_1_1) % 13.15/3.65 | (50) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v2_membered(v1)) % 13.15/3.65 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 13.15/3.65 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) % 13.15/3.66 | (53) ! [v0] : ! [v1] : ( ~ v1_setfam_1(v0) | ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v1_xboole_0(v0)) % 13.15/3.66 | (54) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_orders_2(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v2_waybel_0(v3, v0) & v1_waybel_0(v3, v0) & m1_subset_1(v3, v2))) % 13.15/3.66 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) % 13.15/3.66 | (56) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) % 13.15/3.66 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1)) % 13.15/3.66 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) % 13.15/3.66 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) % 13.15/3.66 | (60) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) % 13.15/3.66 | (61) ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0)) % 13.15/3.66 | (62) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v1_membered(v1)) % 13.15/3.66 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 13.15/3.66 | (64) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v5_membered(v1)) % 13.15/3.66 | (65) v1_funct_1(all_0_7_7) % 13.15/3.66 | (66) ! [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))) % 13.15/3.66 | (67) ~ v1_xboole_0(all_0_4_4) % 13.15/3.66 | (68) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v4_ordinal2(v1) | ~ v4_ordinal2(v0) | v4_membered(v2)) % 13.15/3.66 | (69) ! [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))) % 13.15/3.66 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) % 13.15/3.66 | (71) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v4_ordinal2(v1)) % 13.15/3.66 | (72) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) % 13.24/3.66 | (73) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_finset_1(v1) | ~ v1_finset_1(v0) | v1_finset_1(v2)) % 13.24/3.66 | (74) v3_membered(all_0_4_4) % 13.24/3.66 | (75) ? [v0] : r1_tarski(v0, v0) % 13.24/3.66 | (76) v3_membered(k1_xboole_0) % 13.24/3.66 | (77) ! [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))) % 13.24/3.66 | (78) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) % 13.24/3.66 | (79) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) % 13.24/3.66 | (80) l1_orders_2(all_0_11_11) % 13.24/3.66 | (81) v2_membered(k1_xboole_0) % 13.24/3.66 | (82) ~ v5_waybel34(all_0_9_9, all_0_13_13, all_0_11_11) | ~ v20_waybel_0(all_0_9_9, all_0_13_13, all_0_11_11) % 13.24/3.66 | (83) ~ v3_struct_0(all_0_8_8) % 13.24/3.66 | (84) v1_membered(all_0_4_4) % 13.24/3.66 | (85) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) % 13.24/3.66 | (86) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v1_waybel_0(v1, v0)) % 13.24/3.66 | (87) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) % 13.24/3.66 | (88) ~ v3_struct_0(all_0_11_11) % 13.24/3.66 | (89) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v3))) % 13.24/3.66 | (90) v1_funct_1(all_0_3_3) % 13.24/3.66 | (91) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ? [v2] : ? [v3] : (k1_pre_topc(v0) = v2 & k1_zfmisc_1(v1) = v3 & m1_subset_1(v2, v3))) % 13.24/3.66 | (92) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_pre_topc(v2) = v1) | ~ (k1_pre_topc(v2) = v0)) % 13.24/3.66 | (93) v1_relat_1(all_0_6_6) % 13.24/3.66 | (94) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_int_1(v1) | ~ v1_int_1(v0) | v4_membered(v2)) % 13.24/3.66 | (95) ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0)) % 13.24/3.66 | (96) ! [v0] : ( ~ v1_relat_1(v0) | ~ v1_xboole_0(v0) | ~ v1_funct_1(v0) | v2_funct_1(v0)) % 13.24/3.66 | (97) v1_funct_1(all_0_6_6) % 13.24/3.66 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_finset_1(v0) | ~ m1_subset_1(v2, v1) | v1_finset_1(v2)) % 13.24/3.66 | (99) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) % 13.24/3.66 | (100) v1_funct_1(all_0_9_9) % 13.24/3.66 | (101) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v2_waybel_0(v1, v0)) % 13.24/3.66 | (102) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v4_ordinal2(v1) | ~ v4_ordinal2(v0) | v3_membered(v2)) % 13.24/3.66 | (103) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) % 13.24/3.66 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) % 13.24/3.66 | (105) v1_setfam_1(all_0_5_5) % 13.24/3.67 | (106) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_rat_1(v1) | ~ v1_rat_1(v0) | v2_membered(v2)) % 13.24/3.67 | (107) v1_relat_1(all_0_3_3) % 13.24/3.67 | (108) l1_struct_0(all_0_8_8) % 13.24/3.67 | (109) ~ v1_xboole_0(all_0_2_2) % 13.24/3.67 | (110) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_int_1(v1) | ~ v1_int_1(v0) | v1_membered(v2)) % 13.24/3.67 | (111) ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0)) % 13.24/3.67 | (112) l1_orders_2(all_0_0_0) % 13.24/3.67 | (113) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) % 13.24/3.67 | (114) v1_relat_1(all_0_7_7) % 13.24/3.67 | (115) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v4_ordinal2(v1) | ~ v4_ordinal2(v0) | v5_membered(v2)) % 13.24/3.67 | (116) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) % 13.24/3.67 | (117) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) % 13.24/3.67 | (118) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) % 13.24/3.67 | (119) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (u1_struct_0(v3) = v4) | ~ r4_waybel_0(v0, v3, v5, v1) | ~ m2_relset_1(v5, v2, v4) | ~ v1_funct_2(v5, v2, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | v5_waybel34(v5, v0, v3) | v3_struct_0(v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (u1_struct_0(v3) = v4) | ~ v5_waybel34(v5, v0, v3) | ~ m2_relset_1(v5, v2, v4) | ~ v1_funct_2(v5, v2, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | r4_waybel_0(v0, v3, v5, v1) | v3_struct_0(v3)))) % 13.24/3.67 | (120) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v1_xboole_0(v1)) % 13.24/3.67 | (121) u1_struct_0(all_0_13_13) = all_0_12_12 % 13.24/3.67 | (122) v1_xboole_0(all_0_6_6) % 13.24/3.67 | (123) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) % 13.24/3.67 | (124) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v1_membered(v1)) % 13.24/3.67 | (125) ~ v3_struct_0(all_0_13_13) % 13.24/3.67 | (126) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v13_waybel_0(v1, v0)) % 13.24/3.67 | (127) ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0)) % 13.24/3.67 | (128) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v3_membered(v1)) % 13.24/3.67 | (129) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xreal_0(v1) | ~ v1_xreal_0(v0) | v1_membered(v2)) % 13.24/3.67 | (130) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v1_xboole_0(v1)) % 13.24/3.67 | (131) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | v1_finset_1(v2)) % 13.24/3.67 | (132) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) % 13.24/3.67 | (133) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) % 13.24/3.67 | (134) v1_xboole_0(k1_xboole_0) % 13.24/3.67 | (135) v4_membered(all_0_4_4) % 13.24/3.67 | (136) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) % 13.24/3.67 | (137) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v4_membered(v1)) % 13.24/3.67 | (138) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) % 13.24/3.67 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2)) % 13.24/3.67 | (140) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) % 13.24/3.67 | (141) ~ v1_xboole_0(all_0_5_5) % 13.24/3.67 | (142) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) % 13.24/3.67 | (143) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_int_1(v1) | ~ v1_int_1(v0) | v3_membered(v2)) % 13.24/3.67 | (144) l1_orders_2(all_0_13_13) % 13.24/3.67 | (145) v4_membered(k1_xboole_0) % 13.24/3.67 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_tarski(v3, v2) = v1) | ~ (k2_tarski(v3, v2) = v0)) % 13.24/3.67 | (147) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v2_membered(v1)) % 13.24/3.67 | (148) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_rat_1(v1) | ~ v1_rat_1(v0) | v3_membered(v2)) % 13.24/3.67 | (149) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v4_ordinal2(v1) | ~ v4_ordinal2(v0) | v2_membered(v2)) % 13.24/3.67 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k2_struct_0(v4, v3, v2) = v1) | ~ (k2_struct_0(v4, v3, v2) = v0)) % 13.24/3.67 | (151) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) % 13.24/3.67 | (152) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xcmplx_0(v1) | ~ v1_xcmplx_0(v0) | v1_membered(v2)) % 13.24/3.67 | (153) ! [v0] : ! [v1] : (v1 = k1_xboole_0 | ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0)) % 13.24/3.67 | (154) ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0)) % 13.24/3.67 | (155) ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0)) % 13.24/3.67 | (156) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v4_membered(v1)) % 13.24/3.67 | (157) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_orders_2(v0) | v3_struct_0(v0) | ? [v2] : (k1_pre_topc(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (u1_struct_0(v3) = v4) | ~ r4_waybel_0(v0, v3, v5, v2) | ~ m2_relset_1(v5, v1, v4) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | v5_waybel34(v5, v0, v3) | v3_struct_0(v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (u1_struct_0(v3) = v4) | ~ v5_waybel34(v5, v0, v3) | ~ m2_relset_1(v5, v1, v4) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5) | ~ l1_orders_2(v3) | r4_waybel_0(v0, v3, v5, v2) | v3_struct_0(v3)))) % 13.24/3.68 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_struct_0(v0, v1, v2) = v3) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k2_tarski(v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) % 13.24/3.68 | (159) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_struct_0(v0, v1, v2) = v3) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k2_struct_0(v0, v2, v1) = v5 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) % 13.24/3.68 | (160) ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0)) % 13.24/3.68 | (161) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) % 13.24/3.68 | (162) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) % 13.24/3.68 | (163) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_orders_2(v0) | v1_finset_1(v1)) % 13.24/3.68 | (164) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) % 13.24/3.68 | (165) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xboole_0(v2)) % 13.24/3.68 | (166) ? [v0] : ? [v1] : m1_subset_1(v1, v0) % 13.24/3.68 | (167) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_int_1(v1) | ~ v1_int_1(v0) | v2_membered(v2)) % 13.24/3.68 | (168) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (13) with k1_xboole_0, all_0_6_6 and discharging atoms v1_xboole_0(all_0_6_6), v1_xboole_0(k1_xboole_0), yields: % 13.24/3.68 | (169) all_0_6_6 = k1_xboole_0 % 13.24/3.68 | % 13.24/3.68 | From (169) and (122) follows: % 13.24/3.68 | (134) v1_xboole_0(k1_xboole_0) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (38) with k1_xboole_0 and discharging atoms v1_xboole_0(k1_xboole_0), yields: % 13.24/3.68 | (171) v1_finset_1(k1_xboole_0) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (157) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_orders_2(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 13.24/3.68 | (172) ? [v0] : (k1_pre_topc(all_0_11_11) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ r4_waybel_0(all_0_11_11, v1, v3, v0) | ~ m2_relset_1(v3, all_0_10_10, v2) | ~ v1_funct_2(v3, all_0_10_10, v2) | ~ v1_funct_1(v3) | ~ l1_orders_2(v1) | v5_waybel34(v3, all_0_11_11, v1) | v3_struct_0(v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ v5_waybel34(v3, all_0_11_11, v1) | ~ m2_relset_1(v3, all_0_10_10, v2) | ~ v1_funct_2(v3, all_0_10_10, v2) | ~ v1_funct_1(v3) | ~ l1_orders_2(v1) | r4_waybel_0(all_0_11_11, v1, v3, v0) | v3_struct_0(v1))) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (18) with all_0_11_11 and discharging atoms l1_orders_2(all_0_11_11), yields: % 13.24/3.68 | (173) l1_struct_0(all_0_11_11) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (37) with all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, u1_struct_0(all_0_13_13) = all_0_12_12, m2_relset_1(all_0_9_9, all_0_12_12, all_0_10_10), v1_funct_2(all_0_9_9, all_0_12_12, all_0_10_10), v1_funct_1(all_0_9_9), l1_orders_2(all_0_11_11), l1_orders_2(all_0_13_13), ~ v3_struct_0(all_0_11_11), ~ v3_struct_0(all_0_13_13), yields: % 13.24/3.68 | (174) v20_waybel_0(all_0_9_9, all_0_13_13, all_0_11_11) | ? [v0] : ? [v1] : ? [v2] : (k2_struct_0(all_0_13_13, v0, v1) = v2 & m1_subset_1(v1, all_0_12_12) & m1_subset_1(v0, all_0_12_12) & ~ r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, v2)) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (40) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_orders_2(all_0_13_13), ~ v3_struct_0(all_0_13_13), yields: % 13.24/3.68 | (175) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_12_12) = v0 & v13_waybel_0(v1, all_0_13_13) & v12_waybel_0(v1, all_0_13_13) & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (157) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_orders_2(all_0_13_13), ~ v3_struct_0(all_0_13_13), yields: % 13.24/3.68 | (176) ? [v0] : (k1_pre_topc(all_0_13_13) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ r4_waybel_0(all_0_13_13, v1, v3, v0) | ~ m2_relset_1(v3, all_0_12_12, v2) | ~ v1_funct_2(v3, all_0_12_12, v2) | ~ v1_funct_1(v3) | ~ l1_orders_2(v1) | v5_waybel34(v3, all_0_13_13, v1) | v3_struct_0(v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ v5_waybel34(v3, all_0_13_13, v1) | ~ m2_relset_1(v3, all_0_12_12, v2) | ~ v1_funct_2(v3, all_0_12_12, v2) | ~ v1_funct_1(v3) | ~ l1_orders_2(v1) | r4_waybel_0(all_0_13_13, v1, v3, v0) | v3_struct_0(v1))) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (9) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_orders_2(all_0_13_13), ~ v3_struct_0(all_0_13_13), yields: % 13.24/3.68 | (177) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v1) = v2) | ~ v1_finset_1(v4) | ~ m1_subset_1(v4, v0) | ~ v4_waybel34(v3, all_0_13_13, v1) | ~ m2_relset_1(v3, all_0_12_12, v2) | ~ v1_funct_2(v3, all_0_12_12, v2) | ~ v1_funct_1(v3) | ~ l1_orders_2(v1) | r4_waybel_0(all_0_13_13, v1, v3, v4) | v3_struct_0(v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ m2_relset_1(v3, all_0_12_12, v2) | ~ v1_funct_2(v3, all_0_12_12, v2) | ~ v1_funct_1(v3) | ~ l1_orders_2(v1) | v4_waybel34(v3, all_0_13_13, v1) | v3_struct_0(v1) | ? [v4] : (v1_finset_1(v4) & m1_subset_1(v4, v0) & ~ r4_waybel_0(all_0_13_13, v1, v3, v4)))) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (33) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_orders_2(all_0_13_13), yields: % 13.24/3.68 | (178) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_12_12) = v0 & v13_waybel_0(v1, all_0_13_13) & v12_waybel_0(v1, all_0_13_13) & m1_subset_1(v1, v0)) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (54) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_orders_2(all_0_13_13), yields: % 13.24/3.68 | (179) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_12_12) = v0 & v2_waybel_0(v1, all_0_13_13) & v1_waybel_0(v1, all_0_13_13) & m1_subset_1(v1, v0)) % 13.24/3.68 | % 13.24/3.68 | Instantiating formula (18) with all_0_13_13 and discharging atoms l1_orders_2(all_0_13_13), yields: % 13.24/3.68 | (180) l1_struct_0(all_0_13_13) % 13.24/3.68 | % 13.24/3.68 | Instantiating (179) with all_25_0_26, all_25_1_27 yields: % 13.24/3.68 | (181) k1_zfmisc_1(all_0_12_12) = all_25_1_27 & v2_waybel_0(all_25_0_26, all_0_13_13) & v1_waybel_0(all_25_0_26, all_0_13_13) & m1_subset_1(all_25_0_26, all_25_1_27) % 13.24/3.68 | % 13.24/3.68 | Applying alpha-rule on (181) yields: % 13.24/3.68 | (182) k1_zfmisc_1(all_0_12_12) = all_25_1_27 % 13.24/3.68 | (183) v2_waybel_0(all_25_0_26, all_0_13_13) % 13.24/3.68 | (184) v1_waybel_0(all_25_0_26, all_0_13_13) % 13.24/3.68 | (185) m1_subset_1(all_25_0_26, all_25_1_27) % 13.24/3.68 | % 13.24/3.68 | Instantiating (177) with all_27_0_28 yields: % 13.24/3.68 | (186) k1_zfmisc_1(all_0_12_12) = all_27_0_28 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ v1_finset_1(v3) | ~ m1_subset_1(v3, all_27_0_28) | ~ v4_waybel34(v2, all_0_13_13, v0) | ~ m2_relset_1(v2, all_0_12_12, v1) | ~ v1_funct_2(v2, all_0_12_12, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | r4_waybel_0(all_0_13_13, v0, v2, v3) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ m2_relset_1(v2, all_0_12_12, v1) | ~ v1_funct_2(v2, all_0_12_12, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | v4_waybel34(v2, all_0_13_13, v0) | v3_struct_0(v0) | ? [v3] : (v1_finset_1(v3) & m1_subset_1(v3, all_27_0_28) & ~ r4_waybel_0(all_0_13_13, v0, v2, v3))) % 13.24/3.68 | % 13.24/3.69 | Applying alpha-rule on (186) yields: % 13.24/3.69 | (187) k1_zfmisc_1(all_0_12_12) = all_27_0_28 % 13.24/3.69 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ v1_finset_1(v3) | ~ m1_subset_1(v3, all_27_0_28) | ~ v4_waybel34(v2, all_0_13_13, v0) | ~ m2_relset_1(v2, all_0_12_12, v1) | ~ v1_funct_2(v2, all_0_12_12, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | r4_waybel_0(all_0_13_13, v0, v2, v3) | v3_struct_0(v0)) % 13.24/3.69 | (189) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ m2_relset_1(v2, all_0_12_12, v1) | ~ v1_funct_2(v2, all_0_12_12, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | v4_waybel34(v2, all_0_13_13, v0) | v3_struct_0(v0) | ? [v3] : (v1_finset_1(v3) & m1_subset_1(v3, all_27_0_28) & ~ r4_waybel_0(all_0_13_13, v0, v2, v3))) % 13.24/3.69 | % 13.24/3.69 | Instantiating (172) with all_32_0_31 yields: % 13.24/3.69 | (190) k1_pre_topc(all_0_11_11) = all_32_0_31 & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ r4_waybel_0(all_0_11_11, v0, v2, all_32_0_31) | ~ m2_relset_1(v2, all_0_10_10, v1) | ~ v1_funct_2(v2, all_0_10_10, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | v5_waybel34(v2, all_0_11_11, v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ v5_waybel34(v2, all_0_11_11, v0) | ~ m2_relset_1(v2, all_0_10_10, v1) | ~ v1_funct_2(v2, all_0_10_10, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | r4_waybel_0(all_0_11_11, v0, v2, all_32_0_31) | v3_struct_0(v0)) % 13.24/3.69 | % 13.24/3.69 | Applying alpha-rule on (190) yields: % 13.24/3.69 | (191) k1_pre_topc(all_0_11_11) = all_32_0_31 % 13.24/3.69 | (192) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ r4_waybel_0(all_0_11_11, v0, v2, all_32_0_31) | ~ m2_relset_1(v2, all_0_10_10, v1) | ~ v1_funct_2(v2, all_0_10_10, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | v5_waybel34(v2, all_0_11_11, v0) | v3_struct_0(v0)) % 13.24/3.69 | (193) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ v5_waybel34(v2, all_0_11_11, v0) | ~ m2_relset_1(v2, all_0_10_10, v1) | ~ v1_funct_2(v2, all_0_10_10, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | r4_waybel_0(all_0_11_11, v0, v2, all_32_0_31) | v3_struct_0(v0)) % 13.24/3.69 | % 13.24/3.69 | Instantiating (176) with all_37_0_34 yields: % 13.24/3.69 | (194) k1_pre_topc(all_0_13_13) = all_37_0_34 & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ r4_waybel_0(all_0_13_13, v0, v2, all_37_0_34) | ~ m2_relset_1(v2, all_0_12_12, v1) | ~ v1_funct_2(v2, all_0_12_12, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | v5_waybel34(v2, all_0_13_13, v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ v5_waybel34(v2, all_0_13_13, v0) | ~ m2_relset_1(v2, all_0_12_12, v1) | ~ v1_funct_2(v2, all_0_12_12, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | r4_waybel_0(all_0_13_13, v0, v2, all_37_0_34) | v3_struct_0(v0)) % 13.24/3.69 | % 13.24/3.69 | Applying alpha-rule on (194) yields: % 13.24/3.69 | (195) k1_pre_topc(all_0_13_13) = all_37_0_34 % 13.24/3.69 | (196) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ r4_waybel_0(all_0_13_13, v0, v2, all_37_0_34) | ~ m2_relset_1(v2, all_0_12_12, v1) | ~ v1_funct_2(v2, all_0_12_12, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | v5_waybel34(v2, all_0_13_13, v0) | v3_struct_0(v0)) % 13.24/3.69 | (197) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ v5_waybel34(v2, all_0_13_13, v0) | ~ m2_relset_1(v2, all_0_12_12, v1) | ~ v1_funct_2(v2, all_0_12_12, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | r4_waybel_0(all_0_13_13, v0, v2, all_37_0_34) | v3_struct_0(v0)) % 13.24/3.69 | % 13.24/3.69 | Instantiating (175) with all_43_0_36, all_43_1_37 yields: % 13.24/3.69 | (198) k1_zfmisc_1(all_0_12_12) = all_43_1_37 & v13_waybel_0(all_43_0_36, all_0_13_13) & v12_waybel_0(all_43_0_36, all_0_13_13) & m1_subset_1(all_43_0_36, all_43_1_37) & ~ v1_xboole_0(all_43_0_36) % 13.24/3.69 | % 13.24/3.69 | Applying alpha-rule on (198) yields: % 13.24/3.69 | (199) ~ v1_xboole_0(all_43_0_36) % 13.24/3.69 | (200) v12_waybel_0(all_43_0_36, all_0_13_13) % 13.24/3.69 | (201) m1_subset_1(all_43_0_36, all_43_1_37) % 13.24/3.69 | (202) k1_zfmisc_1(all_0_12_12) = all_43_1_37 % 13.24/3.69 | (203) v13_waybel_0(all_43_0_36, all_0_13_13) % 13.24/3.69 | % 13.24/3.69 | Instantiating (178) with all_45_0_38, all_45_1_39 yields: % 13.24/3.69 | (204) k1_zfmisc_1(all_0_12_12) = all_45_1_39 & v13_waybel_0(all_45_0_38, all_0_13_13) & v12_waybel_0(all_45_0_38, all_0_13_13) & m1_subset_1(all_45_0_38, all_45_1_39) % 13.24/3.69 | % 13.24/3.69 | Applying alpha-rule on (204) yields: % 13.24/3.69 | (205) k1_zfmisc_1(all_0_12_12) = all_45_1_39 % 13.24/3.69 | (206) v13_waybel_0(all_45_0_38, all_0_13_13) % 13.24/3.69 | (207) v12_waybel_0(all_45_0_38, all_0_13_13) % 13.24/3.69 | (208) m1_subset_1(all_45_0_38, all_45_1_39) % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (63) with all_0_12_12, all_43_1_37, all_45_1_39 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_45_1_39, k1_zfmisc_1(all_0_12_12) = all_43_1_37, yields: % 13.24/3.69 | (209) all_45_1_39 = all_43_1_37 % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (63) with all_0_12_12, all_27_0_28, all_45_1_39 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_45_1_39, k1_zfmisc_1(all_0_12_12) = all_27_0_28, yields: % 13.24/3.69 | (210) all_45_1_39 = all_27_0_28 % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (63) with all_0_12_12, all_25_1_27, all_43_1_37 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_43_1_37, k1_zfmisc_1(all_0_12_12) = all_25_1_27, yields: % 13.24/3.69 | (211) all_43_1_37 = all_25_1_27 % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (153) with all_32_0_31, all_0_11_11 and discharging atoms k1_pre_topc(all_0_11_11) = all_32_0_31, l1_struct_0(all_0_11_11), yields: % 13.24/3.69 | (212) all_32_0_31 = k1_xboole_0 % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (153) with all_37_0_34, all_0_13_13 and discharging atoms k1_pre_topc(all_0_13_13) = all_37_0_34, l1_struct_0(all_0_13_13), yields: % 13.24/3.69 | (213) all_37_0_34 = k1_xboole_0 % 13.24/3.69 | % 13.24/3.69 | Combining equations (209,210) yields a new equation: % 13.24/3.69 | (214) all_43_1_37 = all_27_0_28 % 13.24/3.69 | % 13.24/3.69 | Simplifying 214 yields: % 13.24/3.69 | (215) all_43_1_37 = all_27_0_28 % 13.24/3.69 | % 13.24/3.69 | Combining equations (215,211) yields a new equation: % 13.24/3.69 | (216) all_27_0_28 = all_25_1_27 % 13.24/3.69 | % 13.24/3.69 | Simplifying 216 yields: % 13.24/3.69 | (217) all_27_0_28 = all_25_1_27 % 13.24/3.69 | % 13.24/3.69 | From (212) and (191) follows: % 13.24/3.69 | (218) k1_pre_topc(all_0_11_11) = k1_xboole_0 % 13.24/3.69 | % 13.24/3.69 | From (213) and (195) follows: % 13.24/3.69 | (219) k1_pre_topc(all_0_13_13) = k1_xboole_0 % 13.24/3.69 | % 13.24/3.69 | From (217) and (187) follows: % 13.24/3.69 | (182) k1_zfmisc_1(all_0_12_12) = all_25_1_27 % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (119) with k1_xboole_0, all_0_11_11 and discharging atoms k1_pre_topc(all_0_11_11) = k1_xboole_0, l1_orders_2(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 13.24/3.69 | (221) ? [v0] : (u1_struct_0(all_0_11_11) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ r4_waybel_0(all_0_11_11, v1, v3, k1_xboole_0) | ~ m2_relset_1(v3, v0, v2) | ~ v1_funct_2(v3, v0, v2) | ~ v1_funct_1(v3) | ~ l1_orders_2(v1) | v5_waybel34(v3, all_0_11_11, v1) | v3_struct_0(v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ v5_waybel34(v3, all_0_11_11, v1) | ~ m2_relset_1(v3, v0, v2) | ~ v1_funct_2(v3, v0, v2) | ~ v1_funct_1(v3) | ~ l1_orders_2(v1) | r4_waybel_0(all_0_11_11, v1, v3, k1_xboole_0) | v3_struct_0(v1))) % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (119) with k1_xboole_0, all_0_13_13 and discharging atoms k1_pre_topc(all_0_13_13) = k1_xboole_0, l1_orders_2(all_0_13_13), ~ v3_struct_0(all_0_13_13), yields: % 13.24/3.69 | (222) ? [v0] : (u1_struct_0(all_0_13_13) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ r4_waybel_0(all_0_13_13, v1, v3, k1_xboole_0) | ~ m2_relset_1(v3, v0, v2) | ~ v1_funct_2(v3, v0, v2) | ~ v1_funct_1(v3) | ~ l1_orders_2(v1) | v5_waybel34(v3, all_0_13_13, v1) | v3_struct_0(v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ v5_waybel34(v3, all_0_13_13, v1) | ~ m2_relset_1(v3, v0, v2) | ~ v1_funct_2(v3, v0, v2) | ~ v1_funct_1(v3) | ~ l1_orders_2(v1) | r4_waybel_0(all_0_13_13, v1, v3, k1_xboole_0) | v3_struct_0(v1))) % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (89) with k1_xboole_0, all_0_11_11 and discharging atoms k1_pre_topc(all_0_11_11) = k1_xboole_0, l1_struct_0(all_0_11_11), yields: % 13.24/3.69 | (223) ? [v0] : ? [v1] : (u1_struct_0(all_0_11_11) = v0 & k1_zfmisc_1(v0) = v1 & m1_subset_1(k1_xboole_0, v1)) % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (89) with k1_xboole_0, all_0_13_13 and discharging atoms k1_pre_topc(all_0_13_13) = k1_xboole_0, l1_struct_0(all_0_13_13), yields: % 13.24/3.69 | (224) ? [v0] : ? [v1] : (u1_struct_0(all_0_13_13) = v0 & k1_zfmisc_1(v0) = v1 & m1_subset_1(k1_xboole_0, v1)) % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (66) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_struct_0(all_0_13_13), ~ v3_struct_0(all_0_13_13), yields: % 13.24/3.69 | (225) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_12_12) = v0 & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 13.24/3.69 | % 13.24/3.69 | Instantiating formula (91) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_struct_0(all_0_13_13), yields: % 13.24/3.69 | (226) ? [v0] : ? [v1] : (k1_pre_topc(all_0_13_13) = v0 & k1_zfmisc_1(all_0_12_12) = v1 & m1_subset_1(v0, v1)) % 13.24/3.69 | % 13.24/3.69 | Instantiating (226) with all_57_0_40, all_57_1_41 yields: % 13.24/3.69 | (227) k1_pre_topc(all_0_13_13) = all_57_1_41 & k1_zfmisc_1(all_0_12_12) = all_57_0_40 & m1_subset_1(all_57_1_41, all_57_0_40) % 13.24/3.69 | % 13.24/3.69 | Applying alpha-rule on (227) yields: % 13.24/3.69 | (228) k1_pre_topc(all_0_13_13) = all_57_1_41 % 13.24/3.69 | (229) k1_zfmisc_1(all_0_12_12) = all_57_0_40 % 13.24/3.69 | (230) m1_subset_1(all_57_1_41, all_57_0_40) % 13.24/3.69 | % 13.24/3.69 | Instantiating (225) with all_59_0_42, all_59_1_43 yields: % 13.24/3.69 | (231) k1_zfmisc_1(all_0_12_12) = all_59_1_43 & m1_subset_1(all_59_0_42, all_59_1_43) & ~ v1_xboole_0(all_59_0_42) % 13.24/3.69 | % 13.24/3.69 | Applying alpha-rule on (231) yields: % 13.24/3.69 | (232) k1_zfmisc_1(all_0_12_12) = all_59_1_43 % 13.24/3.69 | (233) m1_subset_1(all_59_0_42, all_59_1_43) % 13.24/3.69 | (234) ~ v1_xboole_0(all_59_0_42) % 13.24/3.69 | % 13.24/3.69 | Instantiating (224) with all_61_0_44, all_61_1_45 yields: % 13.24/3.69 | (235) u1_struct_0(all_0_13_13) = all_61_1_45 & k1_zfmisc_1(all_61_1_45) = all_61_0_44 & m1_subset_1(k1_xboole_0, all_61_0_44) % 13.24/3.69 | % 13.24/3.69 | Applying alpha-rule on (235) yields: % 13.24/3.69 | (236) u1_struct_0(all_0_13_13) = all_61_1_45 % 13.24/3.69 | (237) k1_zfmisc_1(all_61_1_45) = all_61_0_44 % 13.24/3.69 | (238) m1_subset_1(k1_xboole_0, all_61_0_44) % 13.24/3.69 | % 13.24/3.69 | Instantiating (221) with all_65_0_48 yields: % 13.24/3.69 | (239) u1_struct_0(all_0_11_11) = all_65_0_48 & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ r4_waybel_0(all_0_11_11, v0, v2, k1_xboole_0) | ~ m2_relset_1(v2, all_65_0_48, v1) | ~ v1_funct_2(v2, all_65_0_48, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | v5_waybel34(v2, all_0_11_11, v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ v5_waybel34(v2, all_0_11_11, v0) | ~ m2_relset_1(v2, all_65_0_48, v1) | ~ v1_funct_2(v2, all_65_0_48, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | r4_waybel_0(all_0_11_11, v0, v2, k1_xboole_0) | v3_struct_0(v0)) % 13.24/3.69 | % 13.24/3.69 | Applying alpha-rule on (239) yields: % 13.24/3.69 | (240) u1_struct_0(all_0_11_11) = all_65_0_48 % 13.24/3.69 | (241) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ r4_waybel_0(all_0_11_11, v0, v2, k1_xboole_0) | ~ m2_relset_1(v2, all_65_0_48, v1) | ~ v1_funct_2(v2, all_65_0_48, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | v5_waybel34(v2, all_0_11_11, v0) | v3_struct_0(v0)) % 13.24/3.70 | (242) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ v5_waybel34(v2, all_0_11_11, v0) | ~ m2_relset_1(v2, all_65_0_48, v1) | ~ v1_funct_2(v2, all_65_0_48, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | r4_waybel_0(all_0_11_11, v0, v2, k1_xboole_0) | v3_struct_0(v0)) % 13.24/3.70 | % 13.24/3.70 | Instantiating (222) with all_70_0_51 yields: % 13.24/3.70 | (243) u1_struct_0(all_0_13_13) = all_70_0_51 & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ r4_waybel_0(all_0_13_13, v0, v2, k1_xboole_0) | ~ m2_relset_1(v2, all_70_0_51, v1) | ~ v1_funct_2(v2, all_70_0_51, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | v5_waybel34(v2, all_0_13_13, v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ v5_waybel34(v2, all_0_13_13, v0) | ~ m2_relset_1(v2, all_70_0_51, v1) | ~ v1_funct_2(v2, all_70_0_51, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | r4_waybel_0(all_0_13_13, v0, v2, k1_xboole_0) | v3_struct_0(v0)) % 13.24/3.70 | % 13.24/3.70 | Applying alpha-rule on (243) yields: % 13.24/3.70 | (244) u1_struct_0(all_0_13_13) = all_70_0_51 % 13.24/3.70 | (245) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ r4_waybel_0(all_0_13_13, v0, v2, k1_xboole_0) | ~ m2_relset_1(v2, all_70_0_51, v1) | ~ v1_funct_2(v2, all_70_0_51, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | v5_waybel34(v2, all_0_13_13, v0) | v3_struct_0(v0)) % 13.24/3.70 | (246) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ v5_waybel34(v2, all_0_13_13, v0) | ~ m2_relset_1(v2, all_70_0_51, v1) | ~ v1_funct_2(v2, all_70_0_51, v1) | ~ v1_funct_1(v2) | ~ l1_orders_2(v0) | r4_waybel_0(all_0_13_13, v0, v2, k1_xboole_0) | v3_struct_0(v0)) % 13.24/3.70 | % 13.24/3.70 | Instantiating (223) with all_73_0_52, all_73_1_53 yields: % 13.24/3.70 | (247) u1_struct_0(all_0_11_11) = all_73_1_53 & k1_zfmisc_1(all_73_1_53) = all_73_0_52 & m1_subset_1(k1_xboole_0, all_73_0_52) % 13.24/3.70 | % 13.24/3.70 | Applying alpha-rule on (247) yields: % 13.24/3.70 | (248) u1_struct_0(all_0_11_11) = all_73_1_53 % 13.24/3.70 | (249) k1_zfmisc_1(all_73_1_53) = all_73_0_52 % 13.24/3.70 | (250) m1_subset_1(k1_xboole_0, all_73_0_52) % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (51) with all_0_11_11, all_73_1_53, all_0_10_10 and discharging atoms u1_struct_0(all_0_11_11) = all_73_1_53, u1_struct_0(all_0_11_11) = all_0_10_10, yields: % 13.24/3.70 | (251) all_73_1_53 = all_0_10_10 % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (51) with all_0_11_11, all_65_0_48, all_73_1_53 and discharging atoms u1_struct_0(all_0_11_11) = all_73_1_53, u1_struct_0(all_0_11_11) = all_65_0_48, yields: % 13.24/3.70 | (252) all_73_1_53 = all_65_0_48 % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (51) with all_0_13_13, all_70_0_51, all_0_12_12 and discharging atoms u1_struct_0(all_0_13_13) = all_70_0_51, u1_struct_0(all_0_13_13) = all_0_12_12, yields: % 13.24/3.70 | (253) all_70_0_51 = all_0_12_12 % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (51) with all_0_13_13, all_61_1_45, all_70_0_51 and discharging atoms u1_struct_0(all_0_13_13) = all_70_0_51, u1_struct_0(all_0_13_13) = all_61_1_45, yields: % 13.24/3.70 | (254) all_70_0_51 = all_61_1_45 % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (63) with all_0_12_12, all_59_1_43, all_25_1_27 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_59_1_43, k1_zfmisc_1(all_0_12_12) = all_25_1_27, yields: % 13.24/3.70 | (255) all_59_1_43 = all_25_1_27 % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (63) with all_0_12_12, all_57_0_40, all_59_1_43 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_59_1_43, k1_zfmisc_1(all_0_12_12) = all_57_0_40, yields: % 13.24/3.70 | (256) all_59_1_43 = all_57_0_40 % 13.24/3.70 | % 13.24/3.70 | Combining equations (252,251) yields a new equation: % 13.24/3.70 | (257) all_65_0_48 = all_0_10_10 % 13.24/3.70 | % 13.24/3.70 | Simplifying 257 yields: % 13.24/3.70 | (258) all_65_0_48 = all_0_10_10 % 13.24/3.70 | % 13.24/3.70 | Combining equations (253,254) yields a new equation: % 13.24/3.70 | (259) all_61_1_45 = all_0_12_12 % 13.24/3.70 | % 13.24/3.70 | Combining equations (256,255) yields a new equation: % 13.24/3.70 | (260) all_57_0_40 = all_25_1_27 % 13.24/3.70 | % 13.24/3.70 | Simplifying 260 yields: % 13.24/3.70 | (261) all_57_0_40 = all_25_1_27 % 13.24/3.70 | % 13.24/3.70 | From (258) and (240) follows: % 13.24/3.70 | (29) u1_struct_0(all_0_11_11) = all_0_10_10 % 13.24/3.70 | % 13.24/3.70 | From (259) and (236) follows: % 13.24/3.70 | (121) u1_struct_0(all_0_13_13) = all_0_12_12 % 13.24/3.70 | % 13.24/3.70 | From (259) and (237) follows: % 13.24/3.70 | (264) k1_zfmisc_1(all_0_12_12) = all_61_0_44 % 13.24/3.70 | % 13.24/3.70 | From (261) and (229) follows: % 13.24/3.70 | (182) k1_zfmisc_1(all_0_12_12) = all_25_1_27 % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (63) with all_0_12_12, all_61_0_44, all_25_1_27 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_61_0_44, k1_zfmisc_1(all_0_12_12) = all_25_1_27, yields: % 13.24/3.70 | (266) all_61_0_44 = all_25_1_27 % 13.24/3.70 | % 13.24/3.70 | From (266) and (264) follows: % 13.24/3.70 | (182) k1_zfmisc_1(all_0_12_12) = all_25_1_27 % 13.24/3.70 | % 13.24/3.70 | From (266) and (238) follows: % 13.24/3.70 | (268) m1_subset_1(k1_xboole_0, all_25_1_27) % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (188) with k1_xboole_0, all_0_9_9, all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, v1_finset_1(k1_xboole_0), v4_waybel34(all_0_9_9, all_0_13_13, all_0_11_11), m2_relset_1(all_0_9_9, all_0_12_12, all_0_10_10), v1_funct_2(all_0_9_9, all_0_12_12, all_0_10_10), v1_funct_1(all_0_9_9), l1_orders_2(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 13.24/3.70 | (269) ~ m1_subset_1(k1_xboole_0, all_27_0_28) | r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, k1_xboole_0) % 13.24/3.70 | % 13.24/3.70 +-Applying beta-rule and splitting (269), into two cases. % 13.24/3.70 |-Branch one: % 13.24/3.70 | (270) ~ m1_subset_1(k1_xboole_0, all_27_0_28) % 13.24/3.70 | % 13.24/3.70 | From (217) and (270) follows: % 13.24/3.70 | (271) ~ m1_subset_1(k1_xboole_0, all_25_1_27) % 13.24/3.70 | % 13.24/3.70 | Using (268) and (271) yields: % 13.24/3.70 | (272) $false % 13.24/3.70 | % 13.24/3.70 |-The branch is then unsatisfiable % 13.24/3.70 |-Branch two: % 13.24/3.70 | (273) m1_subset_1(k1_xboole_0, all_27_0_28) % 13.24/3.70 | (274) r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, k1_xboole_0) % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (196) with all_0_9_9, all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, m2_relset_1(all_0_9_9, all_0_12_12, all_0_10_10), v1_funct_2(all_0_9_9, all_0_12_12, all_0_10_10), v1_funct_1(all_0_9_9), l1_orders_2(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 13.24/3.70 | (275) ~ r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, all_37_0_34) | v5_waybel34(all_0_9_9, all_0_13_13, all_0_11_11) % 13.24/3.70 | % 13.24/3.70 +-Applying beta-rule and splitting (82), into two cases. % 13.24/3.70 |-Branch one: % 13.24/3.70 | (276) ~ v5_waybel34(all_0_9_9, all_0_13_13, all_0_11_11) % 13.24/3.70 | % 13.24/3.70 +-Applying beta-rule and splitting (275), into two cases. % 13.24/3.70 |-Branch one: % 13.24/3.70 | (277) ~ r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, all_37_0_34) % 13.24/3.70 | % 13.24/3.70 | From (213) and (277) follows: % 13.24/3.70 | (278) ~ r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, k1_xboole_0) % 13.24/3.70 | % 13.24/3.70 | Using (274) and (278) yields: % 13.24/3.70 | (272) $false % 13.24/3.70 | % 13.24/3.70 |-The branch is then unsatisfiable % 13.24/3.70 |-Branch two: % 13.24/3.70 | (280) r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, all_37_0_34) % 13.24/3.70 | (281) v5_waybel34(all_0_9_9, all_0_13_13, all_0_11_11) % 13.24/3.70 | % 13.24/3.70 | Using (281) and (276) yields: % 13.24/3.70 | (272) $false % 13.24/3.70 | % 13.24/3.70 |-The branch is then unsatisfiable % 13.24/3.70 |-Branch two: % 13.24/3.70 | (281) v5_waybel34(all_0_9_9, all_0_13_13, all_0_11_11) % 13.24/3.70 | (284) ~ v20_waybel_0(all_0_9_9, all_0_13_13, all_0_11_11) % 13.24/3.70 | % 13.24/3.70 +-Applying beta-rule and splitting (174), into two cases. % 13.24/3.70 |-Branch one: % 13.24/3.70 | (285) v20_waybel_0(all_0_9_9, all_0_13_13, all_0_11_11) % 13.24/3.70 | % 13.24/3.70 | Using (285) and (284) yields: % 13.24/3.70 | (272) $false % 13.24/3.70 | % 13.24/3.70 |-The branch is then unsatisfiable % 13.24/3.70 |-Branch two: % 13.24/3.70 | (284) ~ v20_waybel_0(all_0_9_9, all_0_13_13, all_0_11_11) % 13.24/3.70 | (288) ? [v0] : ? [v1] : ? [v2] : (k2_struct_0(all_0_13_13, v0, v1) = v2 & m1_subset_1(v1, all_0_12_12) & m1_subset_1(v0, all_0_12_12) & ~ r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, v2)) % 13.24/3.70 | % 13.24/3.70 | Instantiating (288) with all_104_0_54, all_104_1_55, all_104_2_56 yields: % 13.24/3.70 | (289) k2_struct_0(all_0_13_13, all_104_2_56, all_104_1_55) = all_104_0_54 & m1_subset_1(all_104_1_55, all_0_12_12) & m1_subset_1(all_104_2_56, all_0_12_12) & ~ r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, all_104_0_54) % 13.24/3.70 | % 13.24/3.70 | Applying alpha-rule on (289) yields: % 13.24/3.70 | (290) k2_struct_0(all_0_13_13, all_104_2_56, all_104_1_55) = all_104_0_54 % 13.24/3.70 | (291) m1_subset_1(all_104_1_55, all_0_12_12) % 13.24/3.70 | (292) m1_subset_1(all_104_2_56, all_0_12_12) % 13.24/3.70 | (293) ~ r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, all_104_0_54) % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (10) with all_104_0_54, all_104_2_56, all_104_1_55, all_0_13_13 and discharging atoms k2_struct_0(all_0_13_13, all_104_2_56, all_104_1_55) = all_104_0_54, l1_struct_0(all_0_13_13), ~ v3_struct_0(all_0_13_13), yields: % 13.24/3.70 | (294) ? [v0] : ? [v1] : (u1_struct_0(all_0_13_13) = v0 & k2_struct_0(all_0_13_13, all_104_1_55, all_104_2_56) = v1 & (v1 = all_104_0_54 | ~ m1_subset_1(all_104_1_55, v0) | ~ m1_subset_1(all_104_2_56, v0))) % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (158) with all_104_0_54, all_104_1_55, all_104_2_56, all_0_13_13 and discharging atoms k2_struct_0(all_0_13_13, all_104_2_56, all_104_1_55) = all_104_0_54, l1_struct_0(all_0_13_13), ~ v3_struct_0(all_0_13_13), yields: % 13.24/3.70 | (295) ? [v0] : ? [v1] : (k2_tarski(all_104_2_56, all_104_1_55) = v1 & u1_struct_0(all_0_13_13) = v0 & (v1 = all_104_0_54 | ~ m1_subset_1(all_104_1_55, v0) | ~ m1_subset_1(all_104_2_56, v0))) % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (44) with all_104_0_54, all_104_1_55, all_104_2_56, all_0_13_13 and discharging atoms k2_struct_0(all_0_13_13, all_104_2_56, all_104_1_55) = all_104_0_54, l1_struct_0(all_0_13_13), ~ v3_struct_0(all_0_13_13), yields: % 13.24/3.70 | (296) ? [v0] : ? [v1] : (u1_struct_0(all_0_13_13) = v0 & k1_zfmisc_1(v0) = v1 & ( ~ m1_subset_1(all_104_1_55, v0) | ~ m1_subset_1(all_104_2_56, v0) | m1_subset_1(all_104_0_54, v1))) % 13.24/3.70 | % 13.24/3.70 | Instantiating (296) with all_111_0_57, all_111_1_58 yields: % 13.24/3.70 | (297) u1_struct_0(all_0_13_13) = all_111_1_58 & k1_zfmisc_1(all_111_1_58) = all_111_0_57 & ( ~ m1_subset_1(all_104_1_55, all_111_1_58) | ~ m1_subset_1(all_104_2_56, all_111_1_58) | m1_subset_1(all_104_0_54, all_111_0_57)) % 13.24/3.70 | % 13.24/3.70 | Applying alpha-rule on (297) yields: % 13.24/3.70 | (298) u1_struct_0(all_0_13_13) = all_111_1_58 % 13.24/3.70 | (299) k1_zfmisc_1(all_111_1_58) = all_111_0_57 % 13.24/3.70 | (300) ~ m1_subset_1(all_104_1_55, all_111_1_58) | ~ m1_subset_1(all_104_2_56, all_111_1_58) | m1_subset_1(all_104_0_54, all_111_0_57) % 13.24/3.70 | % 13.24/3.70 | Instantiating (295) with all_113_0_59, all_113_1_60 yields: % 13.24/3.70 | (301) k2_tarski(all_104_2_56, all_104_1_55) = all_113_0_59 & u1_struct_0(all_0_13_13) = all_113_1_60 & (all_113_0_59 = all_104_0_54 | ~ m1_subset_1(all_104_1_55, all_113_1_60) | ~ m1_subset_1(all_104_2_56, all_113_1_60)) % 13.24/3.70 | % 13.24/3.70 | Applying alpha-rule on (301) yields: % 13.24/3.70 | (302) k2_tarski(all_104_2_56, all_104_1_55) = all_113_0_59 % 13.24/3.70 | (303) u1_struct_0(all_0_13_13) = all_113_1_60 % 13.24/3.70 | (304) all_113_0_59 = all_104_0_54 | ~ m1_subset_1(all_104_1_55, all_113_1_60) | ~ m1_subset_1(all_104_2_56, all_113_1_60) % 13.24/3.70 | % 13.24/3.70 | Instantiating (294) with all_115_0_61, all_115_1_62 yields: % 13.24/3.70 | (305) u1_struct_0(all_0_13_13) = all_115_1_62 & k2_struct_0(all_0_13_13, all_104_1_55, all_104_2_56) = all_115_0_61 & (all_115_0_61 = all_104_0_54 | ~ m1_subset_1(all_104_1_55, all_115_1_62) | ~ m1_subset_1(all_104_2_56, all_115_1_62)) % 13.24/3.70 | % 13.24/3.70 | Applying alpha-rule on (305) yields: % 13.24/3.70 | (306) u1_struct_0(all_0_13_13) = all_115_1_62 % 13.24/3.70 | (307) k2_struct_0(all_0_13_13, all_104_1_55, all_104_2_56) = all_115_0_61 % 13.24/3.70 | (308) all_115_0_61 = all_104_0_54 | ~ m1_subset_1(all_104_1_55, all_115_1_62) | ~ m1_subset_1(all_104_2_56, all_115_1_62) % 13.24/3.70 | % 13.24/3.70 | Instantiating formula (51) with all_0_13_13, all_115_1_62, all_0_12_12 and discharging atoms u1_struct_0(all_0_13_13) = all_115_1_62, u1_struct_0(all_0_13_13) = all_0_12_12, yields: % 13.24/3.71 | (309) all_115_1_62 = all_0_12_12 % 13.24/3.71 | % 13.24/3.71 | Instantiating formula (51) with all_0_13_13, all_113_1_60, all_115_1_62 and discharging atoms u1_struct_0(all_0_13_13) = all_115_1_62, u1_struct_0(all_0_13_13) = all_113_1_60, yields: % 13.24/3.71 | (310) all_115_1_62 = all_113_1_60 % 13.24/3.71 | % 13.24/3.71 | Instantiating formula (51) with all_0_13_13, all_111_1_58, all_115_1_62 and discharging atoms u1_struct_0(all_0_13_13) = all_115_1_62, u1_struct_0(all_0_13_13) = all_111_1_58, yields: % 13.24/3.71 | (311) all_115_1_62 = all_111_1_58 % 13.24/3.71 | % 13.24/3.71 | Combining equations (311,310) yields a new equation: % 13.24/3.71 | (312) all_113_1_60 = all_111_1_58 % 13.24/3.71 | % 13.24/3.71 | Combining equations (309,310) yields a new equation: % 13.24/3.71 | (313) all_113_1_60 = all_0_12_12 % 13.24/3.71 | % 13.24/3.71 | Combining equations (313,312) yields a new equation: % 13.24/3.71 | (314) all_111_1_58 = all_0_12_12 % 13.24/3.71 | % 13.24/3.71 | Combining equations (314,312) yields a new equation: % 13.24/3.71 | (313) all_113_1_60 = all_0_12_12 % 13.24/3.71 | % 13.24/3.71 | Combining equations (313,310) yields a new equation: % 13.24/3.71 | (309) all_115_1_62 = all_0_12_12 % 13.24/3.71 | % 13.24/3.71 | From (314) and (299) follows: % 13.24/3.71 | (317) k1_zfmisc_1(all_0_12_12) = all_111_0_57 % 13.24/3.71 | % 13.24/3.71 +-Applying beta-rule and splitting (304), into two cases. % 13.24/3.71 |-Branch one: % 13.24/3.71 | (318) ~ m1_subset_1(all_104_1_55, all_113_1_60) % 13.24/3.71 | % 13.24/3.71 | From (313) and (318) follows: % 13.24/3.71 | (319) ~ m1_subset_1(all_104_1_55, all_0_12_12) % 13.24/3.71 | % 13.24/3.71 | Using (291) and (319) yields: % 13.24/3.71 | (272) $false % 13.24/3.71 | % 13.24/3.71 |-The branch is then unsatisfiable % 13.24/3.71 |-Branch two: % 13.24/3.71 | (321) m1_subset_1(all_104_1_55, all_113_1_60) % 13.24/3.71 | (322) all_113_0_59 = all_104_0_54 | ~ m1_subset_1(all_104_2_56, all_113_1_60) % 13.24/3.71 | % 13.24/3.71 | From (313) and (321) follows: % 13.24/3.71 | (291) m1_subset_1(all_104_1_55, all_0_12_12) % 13.24/3.71 | % 13.24/3.71 +-Applying beta-rule and splitting (322), into two cases. % 13.24/3.71 |-Branch one: % 13.24/3.71 | (324) ~ m1_subset_1(all_104_2_56, all_113_1_60) % 13.24/3.71 | % 13.24/3.71 | From (313) and (324) follows: % 13.24/3.71 | (325) ~ m1_subset_1(all_104_2_56, all_0_12_12) % 13.24/3.71 | % 13.24/3.71 | Using (292) and (325) yields: % 13.24/3.71 | (272) $false % 13.24/3.71 | % 13.24/3.71 |-The branch is then unsatisfiable % 13.24/3.71 |-Branch two: % 13.24/3.71 | (327) m1_subset_1(all_104_2_56, all_113_1_60) % 13.24/3.71 | (328) all_113_0_59 = all_104_0_54 % 13.24/3.71 | % 13.24/3.71 | From (328) and (302) follows: % 13.24/3.71 | (329) k2_tarski(all_104_2_56, all_104_1_55) = all_104_0_54 % 13.24/3.71 | % 13.24/3.71 | From (313) and (327) follows: % 13.24/3.71 | (292) m1_subset_1(all_104_2_56, all_0_12_12) % 13.24/3.71 | % 13.24/3.71 +-Applying beta-rule and splitting (300), into two cases. % 13.24/3.71 |-Branch one: % 13.24/3.71 | (331) ~ m1_subset_1(all_104_1_55, all_111_1_58) % 13.24/3.71 | % 13.24/3.71 | From (314) and (331) follows: % 13.24/3.71 | (319) ~ m1_subset_1(all_104_1_55, all_0_12_12) % 13.24/3.71 | % 13.24/3.71 | Using (291) and (319) yields: % 13.24/3.71 | (272) $false % 13.24/3.71 | % 13.24/3.71 |-The branch is then unsatisfiable % 13.24/3.71 |-Branch two: % 13.24/3.71 | (334) m1_subset_1(all_104_1_55, all_111_1_58) % 13.24/3.71 | (335) ~ m1_subset_1(all_104_2_56, all_111_1_58) | m1_subset_1(all_104_0_54, all_111_0_57) % 13.24/3.71 | % 13.24/3.71 | From (314) and (334) follows: % 13.24/3.71 | (291) m1_subset_1(all_104_1_55, all_0_12_12) % 13.24/3.71 | % 13.24/3.71 +-Applying beta-rule and splitting (308), into two cases. % 13.24/3.71 |-Branch one: % 13.24/3.71 | (337) ~ m1_subset_1(all_104_1_55, all_115_1_62) % 13.24/3.71 | % 13.24/3.71 | From (309) and (337) follows: % 13.24/3.71 | (319) ~ m1_subset_1(all_104_1_55, all_0_12_12) % 13.24/3.71 | % 13.24/3.71 | Using (291) and (319) yields: % 13.24/3.71 | (272) $false % 13.24/3.71 | % 13.24/3.71 |-The branch is then unsatisfiable % 13.24/3.71 |-Branch two: % 13.24/3.71 | (340) m1_subset_1(all_104_1_55, all_115_1_62) % 13.24/3.71 | (341) all_115_0_61 = all_104_0_54 | ~ m1_subset_1(all_104_2_56, all_115_1_62) % 13.24/3.71 | % 13.24/3.71 +-Applying beta-rule and splitting (341), into two cases. % 13.24/3.71 |-Branch one: % 13.24/3.71 | (342) ~ m1_subset_1(all_104_2_56, all_115_1_62) % 13.24/3.71 | % 13.24/3.71 | From (309) and (342) follows: % 13.24/3.71 | (325) ~ m1_subset_1(all_104_2_56, all_0_12_12) % 13.24/3.71 | % 13.24/3.71 | Using (292) and (325) yields: % 13.24/3.71 | (272) $false % 13.24/3.71 | % 13.24/3.71 |-The branch is then unsatisfiable % 13.24/3.71 |-Branch two: % 13.24/3.71 | (345) m1_subset_1(all_104_2_56, all_115_1_62) % 13.24/3.71 | (346) all_115_0_61 = all_104_0_54 % 13.24/3.71 | % 13.24/3.71 | From (309) and (345) follows: % 13.24/3.71 | (292) m1_subset_1(all_104_2_56, all_0_12_12) % 13.24/3.71 | % 13.24/3.71 +-Applying beta-rule and splitting (335), into two cases. % 13.24/3.71 |-Branch one: % 13.24/3.71 | (348) ~ m1_subset_1(all_104_2_56, all_111_1_58) % 13.24/3.71 | % 13.24/3.71 | From (314) and (348) follows: % 13.24/3.71 | (325) ~ m1_subset_1(all_104_2_56, all_0_12_12) % 13.24/3.71 | % 13.24/3.71 | Using (292) and (325) yields: % 13.24/3.71 | (272) $false % 13.24/3.71 | % 13.24/3.71 |-The branch is then unsatisfiable % 13.24/3.71 |-Branch two: % 13.24/3.71 | (351) m1_subset_1(all_104_2_56, all_111_1_58) % 13.24/3.71 | (352) m1_subset_1(all_104_0_54, all_111_0_57) % 13.24/3.71 | % 13.24/3.71 | Instantiating formula (63) with all_0_12_12, all_111_0_57, all_25_1_27 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_111_0_57, k1_zfmisc_1(all_0_12_12) = all_25_1_27, yields: % 13.24/3.71 | (353) all_111_0_57 = all_25_1_27 % 13.24/3.71 | % 13.24/3.71 | From (353) and (352) follows: % 13.24/3.71 | (354) m1_subset_1(all_104_0_54, all_25_1_27) % 13.24/3.71 | % 13.24/3.71 | Instantiating formula (131) with all_104_0_54, all_104_1_55, all_104_2_56 and discharging atoms k2_tarski(all_104_2_56, all_104_1_55) = all_104_0_54, yields: % 13.24/3.71 | (355) v1_finset_1(all_104_0_54) % 13.24/3.71 | % 13.24/3.71 | Instantiating formula (188) with all_104_0_54, all_0_9_9, all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, v1_finset_1(all_104_0_54), v4_waybel34(all_0_9_9, all_0_13_13, all_0_11_11), m2_relset_1(all_0_9_9, all_0_12_12, all_0_10_10), v1_funct_2(all_0_9_9, all_0_12_12, all_0_10_10), v1_funct_1(all_0_9_9), l1_orders_2(all_0_11_11), ~ r4_waybel_0(all_0_13_13, all_0_11_11, all_0_9_9, all_104_0_54), ~ v3_struct_0(all_0_11_11), yields: % 13.24/3.71 | (356) ~ m1_subset_1(all_104_0_54, all_27_0_28) % 13.24/3.71 | % 13.24/3.71 | From (217) and (356) follows: % 13.24/3.71 | (357) ~ m1_subset_1(all_104_0_54, all_25_1_27) % 13.24/3.71 | % 13.24/3.71 | Using (354) and (357) yields: % 13.24/3.71 | (272) $false % 13.24/3.71 | % 13.24/3.71 |-The branch is then unsatisfiable % 13.24/3.71 % SZS output end Proof for theBenchmark % 13.24/3.71 % 13.24/3.71 3100ms %------------------------------------------------------------------------------