%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : GRP624+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n013.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 : Sat Jul 16 08:43:05 EDT 2022 % Result : Theorem 11.64s 3.39s % Output : Proof 16.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : GRP624+1 : TPTP v8.1.0. Released v3.4.0. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n013.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 14 00:13:14 EDT 2022 % 0.12/0.33 % CPUTime : % 0.62/0.60 ____ _ % 0.62/0.60 ___ / __ \_____(_)___ ________ __________ % 0.62/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.62/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.62/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.62/0.60 % 0.62/0.60 A Theorem Prover for First-Order Logic % 0.62/0.61 (ePrincess v.1.0) % 0.62/0.61 % 0.62/0.61 (c) Philipp Rümmer, 2009-2015 % 0.62/0.61 (c) Peter Backeman, 2014-2015 % 0.62/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.62/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.62/0.61 Bug reports to peter@backeman.se % 0.62/0.61 % 0.62/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.62/0.61 % 0.62/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.69/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.97/1.05 Prover 0: Preprocessing ... % 3.90/1.47 Prover 0: Warning: ignoring some quantifiers % 4.08/1.51 Prover 0: Constructing countermodel ... % 11.64/3.39 Prover 0: proved (2730ms) % 11.64/3.39 % 11.64/3.39 No countermodel exists, formula is valid % 11.64/3.39 % SZS status Theorem for theBenchmark % 11.64/3.39 % 11.64/3.39 Generating proof ... Warning: ignoring some quantifiers % 16.10/4.33 found it (size 214) % 16.10/4.33 % 16.10/4.33 % SZS output start Proof for theBenchmark % 16.10/4.33 Assumed formulas after preprocessing and simplification: % 16.10/4.33 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ( ~ (v7 = v6) & k4_autgroup(v0) = v2 & k2_autgroup(v0) = v3 & k7_funct_2(v1, v1, v1, v5, v4) = v7 & k1_binop_1(v3, v4, v5) = v6 & u1_struct_0(v0) = v1 & l1_struct_0(v19) & l1_struct_0(v8) & v2_funct_1(v15) & v2_funct_1(v10) & v2_group_1(v9) & v1_xboole_0(v15) & v1_xboole_0(v14) & v1_xboole_0(v13) & v1_xboole_0(k1_xboole_0) & v1_funct_1(v17) & v1_funct_1(v15) & v1_funct_1(v13) & v1_funct_1(v10) & v1_relat_1(v17) & v1_relat_1(v15) & v1_relat_1(v13) & v1_relat_1(v10) & v1_fraenkel(v18) & m2_fraenkel(v5, v1, v1, v2) & m2_fraenkel(v4, v1, v1, v2) & l1_group_1(v20) & l1_group_1(v16) & l1_group_1(v12) & l1_group_1(v9) & l1_group_1(v0) & v4_group_1(v9) & v4_group_1(v0) & v3_group_1(v9) & v3_group_1(v0) & v1_group_1(v16) & v1_group_1(v12) & v1_group_1(v9) & v1_group_1(v0) & ~ v1_xboole_0(v18) & ~ v1_xboole_0(v11) & ~ v3_struct_0(v12) & ~ v3_struct_0(v9) & ~ v3_struct_0(v8) & ~ v3_struct_0(v0) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v22 = v21 | ~ (k2_binop_1(v28, v27, v26, v25, v24, v23) = v22) | ~ (k2_binop_1(v28, v27, v26, v25, v24, v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v22 = v21 | ~ (k7_funct_2(v27, v26, v25, v24, v23) = v22) | ~ (k7_funct_2(v27, v26, v25, v24, v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (k2_binop_1(v21, v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v24) | ~ m1_subset_1(v26, v22) | ~ m1_subset_1(v25, v21) | v1_xboole_0(v22) | v1_xboole_0(v21) | m1_subset_1(v27, v23) | ? [v28] : (k2_zfmisc_1(v21, v22) = v28 & ( ~ v1_funct_2(v24, v28, v23) | ~ m1_relset_1(v24, v28, v23)))) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (k2_binop_1(v21, v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v24) | ~ m1_subset_1(v26, v22) | ~ m1_subset_1(v25, v21) | v1_xboole_0(v22) | v1_xboole_0(v21) | ? [v28] : ? [v29] : (k1_binop_1(v24, v25, v26) = v29 & k2_zfmisc_1(v21, v22) = v28 & (v29 = v27 | ~ v1_funct_2(v24, v28, v23) | ~ m1_relset_1(v24, v28, v23)))) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k7_funct_2(v21, v22, v23, v24, v25) = v26) | ~ v1_funct_2(v25, v22, v23) | ~ v1_funct_2(v24, v21, v22) | ~ m1_relset_1(v25, v22, v23) | ~ m1_relset_1(v24, v21, v22) | ~ v1_funct_1(v25) | ~ v1_funct_1(v24) | k5_relat_1(v24, v25) = v26 | v1_xboole_0(v22)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k7_funct_2(v21, v22, v23, v24, v25) = v26) | ~ v1_funct_2(v25, v22, v23) | ~ v1_funct_2(v24, v21, v22) | ~ m1_relset_1(v25, v22, v23) | ~ m1_relset_1(v24, v21, v22) | ~ v1_funct_1(v25) | ~ v1_funct_1(v24) | m2_relset_1(v26, v21, v23) | v1_xboole_0(v22)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k7_funct_2(v21, v22, v23, v24, v25) = v26) | ~ v1_funct_2(v25, v22, v23) | ~ v1_funct_2(v24, v21, v22) | ~ m1_relset_1(v25, v22, v23) | ~ m1_relset_1(v24, v21, v22) | ~ v1_funct_1(v25) | ~ v1_funct_1(v24) | v1_funct_2(v26, v21, v23) | v1_xboole_0(v22)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k7_funct_2(v21, v22, v23, v24, v25) = v26) | ~ v1_funct_2(v25, v22, v23) | ~ v1_funct_2(v24, v21, v22) | ~ m1_relset_1(v25, v22, v23) | ~ m1_relset_1(v24, v21, v22) | ~ v1_funct_1(v25) | ~ v1_funct_1(v24) | v1_xboole_0(v22) | v1_funct_1(v26)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v22 | ~ (g1_group_1(v24, v25) = v23) | ~ (g1_group_1(v21, v22) = v23) | ~ v1_funct_1(v22) | ? [v26] : (k2_zfmisc_1(v21, v21) = v26 & ( ~ v1_funct_2(v22, v26, v21) | ~ m1_relset_1(v22, v26, v21)))) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v24 = v21 | ~ (g1_group_1(v24, v25) = v23) | ~ (g1_group_1(v21, v22) = v23) | ~ v1_funct_1(v22) | ? [v26] : (k2_zfmisc_1(v21, v21) = v26 & ( ~ v1_funct_2(v22, v26, v21) | ~ m1_relset_1(v22, v26, v21)))) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v22 = v21 | ~ (k1_binop_1(v25, v24, v23) = v22) | ~ (k1_binop_1(v25, v24, v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k1_tarski(v21) = v24) | ~ (k2_tarski(v23, v24) = v25) | ~ (k2_tarski(v21, v22) = v23) | k4_tarski(v21, v22) = v25) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k4_tarski(v22, v23) = v24) | ~ (k1_funct_1(v21, v24) = v25) | ~ v1_funct_1(v21) | ~ v1_relat_1(v21) | k1_binop_1(v21, v22, v23) = v25) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v21 | ~ (u1_struct_0(v21) = v22) | ~ (u1_group_1(v21) = v23) | ~ (g1_group_1(v22, v23) = v24) | ~ l1_group_1(v21) | ~ v1_group_1(v21)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v21 | ~ (k5_relat_1(v24, v23) = v22) | ~ (k5_relat_1(v24, v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v21 | ~ (k4_tarski(v24, v23) = v22) | ~ (k4_tarski(v24, v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v21 | ~ (k1_funct_1(v24, v23) = v22) | ~ (k1_funct_1(v24, v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v21 | ~ (k2_tarski(v24, v23) = v22) | ~ (k2_tarski(v24, v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v21 | ~ (k2_zfmisc_1(v24, v23) = v22) | ~ (k2_zfmisc_1(v24, v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v21 | ~ (g1_group_1(v24, v23) = v22) | ~ (g1_group_1(v24, v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (k1_binop_1(v21, v22, v23) = v24) | ~ v1_funct_1(v21) | ~ v1_relat_1(v21) | ? [v25] : (k4_tarski(v22, v23) = v25 & k1_funct_1(v21, v25) = v24)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (k2_zfmisc_1(v21, v22) = v24) | ~ m2_relset_1(v23, v21, v22) | ? [v25] : (k1_zfmisc_1(v24) = v25 & m1_subset_1(v23, v25))) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (k1_zfmisc_1(v23) = v24) | ~ v1_xboole_0(v23) | ~ m1_subset_1(v22, v24) | ~ r2_hidden(v21, v22)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (k1_zfmisc_1(v23) = v24) | ~ m1_subset_1(v22, v24) | ~ r2_hidden(v21, v22) | m1_subset_1(v21, v23)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ m1_fraenkel(v23, v21, v22) | ~ m1_subset_1(v24, v23) | v1_xboole_0(v22) | m2_fraenkel(v24, v21, v22, v23)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ m1_fraenkel(v23, v21, v22) | ~ m2_fraenkel(v24, v21, v22, v23) | m2_relset_1(v24, v21, v22) | v1_xboole_0(v22)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ m1_fraenkel(v23, v21, v22) | ~ m2_fraenkel(v24, v21, v22, v23) | v1_funct_2(v24, v21, v22) | v1_xboole_0(v22)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ m1_fraenkel(v23, v21, v22) | ~ m2_fraenkel(v24, v21, v22, v23) | v1_xboole_0(v22) | v1_funct_1(v24)) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ m1_fraenkel(v23, v21, v22) | ~ m2_fraenkel(v24, v21, v22, v23) | v1_xboole_0(v22) | m1_subset_1(v24, v23)) & ? [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (k2_zfmisc_1(v22, v23) = v24) | v1_relat_1(v21) | ? [v25] : (k1_zfmisc_1(v24) = v25 & ~ m1_subset_1(v21, v25))) & ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (k4_autgroup(v23) = v22) | ~ (k4_autgroup(v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (k1_tarski(v23) = v22) | ~ (k1_tarski(v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (k1_autgroup(v23) = v22) | ~ (k1_autgroup(v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (k2_autgroup(v23) = v22) | ~ (k2_autgroup(v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (k1_zfmisc_1(v23) = v22) | ~ (k1_zfmisc_1(v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (u1_struct_0(v23) = v22) | ~ (u1_struct_0(v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (u1_group_1(v23) = v22) | ~ (u1_group_1(v23) = v21)) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k5_relat_1(v21, v22) = v23) | ~ v1_funct_1(v22) | ~ v1_funct_1(v21) | ~ v1_relat_1(v22) | ~ v1_relat_1(v21) | v1_funct_1(v23)) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k5_relat_1(v21, v22) = v23) | ~ v1_funct_1(v22) | ~ v1_funct_1(v21) | ~ v1_relat_1(v22) | ~ v1_relat_1(v21) | v1_relat_1(v23)) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k5_relat_1(v21, v22) = v23) | ~ v1_relat_1(v22) | ~ v1_relat_1(v21) | v1_relat_1(v23)) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k1_autgroup(v21) = v22) | ~ (k2_zfmisc_1(v22, v22) = v23) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v24] : ? [v25] : (k2_autgroup(v21) = v24 & u1_struct_0(v21) = v25 & ! [v26] : ! [v27] : ! [v28] : ( ~ (k2_binop_1(v22, v22, v22, v24, v26, v27) = v28) | ~ m2_relset_1(v24, v23, v22) | ~ v1_funct_2(v24, v23, v22) | ~ v1_funct_1(v24) | ~ m2_fraenkel(v27, v25, v25, v22) | ~ m2_fraenkel(v26, v25, v25, v22) | k7_funct_2(v25, v25, v25, v27, v26) = v28) & ! [v26] : ! [v27] : ! [v28] : ( ~ (k7_funct_2(v25, v25, v25, v27, v26) = v28) | ~ m2_relset_1(v24, v23, v22) | ~ v1_funct_2(v24, v23, v22) | ~ v1_funct_1(v24) | ~ m2_fraenkel(v27, v25, v25, v22) | ~ m2_fraenkel(v26, v25, v25, v22) | k2_binop_1(v22, v22, v22, v24, v26, v27) = v28) & ! [v26] : (v26 = v24 | ~ m2_relset_1(v26, v23, v22) | ~ v1_funct_2(v26, v23, v22) | ~ v1_funct_1(v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ( ~ (v30 = v29) & k2_binop_1(v22, v22, v22, v26, v27, v28) = v29 & k7_funct_2(v25, v25, v25, v28, v27) = v30 & m2_fraenkel(v28, v25, v25, v22) & m2_fraenkel(v27, v25, v25, v22))))) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k1_autgroup(v21) = v22) | ~ (k2_zfmisc_1(v22, v22) = v23) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v24] : (k2_autgroup(v21) = v24 & m2_relset_1(v24, v23, v22) & v1_funct_2(v24, v23, v22) & v1_funct_1(v24))) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v22) = v23) | ? [v24] : ? [v25] : (k1_tarski(v21) = v25 & k2_tarski(v24, v25) = v23 & k2_tarski(v21, v22) = v24)) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k2_tarski(v22, v21) = v23) | k2_tarski(v21, v22) = v23) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k2_tarski(v21, v22) = v23) | k2_tarski(v22, v21) = v23) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k2_zfmisc_1(v22, v22) = v23) | ~ (u1_struct_0(v21) = v22) | ~ l1_group_1(v21) | ? [v24] : (u1_group_1(v21) = v24 & m2_relset_1(v24, v23, v22) & v1_funct_2(v24, v23, v22) & v1_funct_1(v24))) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k1_zfmisc_1(v22) = v23) | ~ r1_tarski(v21, v22) | m1_subset_1(v21, v23)) & ! [v21] : ! [v22] : ! [v23] : ( ~ (k1_zfmisc_1(v22) = v23) | ~ m1_subset_1(v21, v23) | r1_tarski(v21, v22)) & ! [v21] : ! [v22] : ! [v23] : ( ~ (g1_group_1(v21, v22) = v23) | ~ v1_funct_1(v22) | ~ v3_struct_0(v23) | v1_xboole_0(v21) | ? [v24] : (k2_zfmisc_1(v21, v21) = v24 & ( ~ v1_funct_2(v22, v24, v21) | ~ m1_relset_1(v22, v24, v21)))) & ! [v21] : ! [v22] : ! [v23] : ( ~ (g1_group_1(v21, v22) = v23) | ~ v1_funct_1(v22) | v1_xboole_0(v21) | v1_group_1(v23) | ? [v24] : (k2_zfmisc_1(v21, v21) = v24 & ( ~ v1_funct_2(v22, v24, v21) | ~ m1_relset_1(v22, v24, v21)))) & ! [v21] : ! [v22] : ! [v23] : ( ~ (g1_group_1(v21, v22) = v23) | ~ v1_funct_1(v22) | l1_group_1(v23) | ? [v24] : (k2_zfmisc_1(v21, v21) = v24 & ( ~ v1_funct_2(v22, v24, v21) | ~ m1_relset_1(v22, v24, v21)))) & ! [v21] : ! [v22] : ! [v23] : ( ~ (g1_group_1(v21, v22) = v23) | ~ v1_funct_1(v22) | v1_group_1(v23) | ? [v24] : (k2_zfmisc_1(v21, v21) = v24 & ( ~ v1_funct_2(v22, v24, v21) | ~ m1_relset_1(v22, v24, v21)))) & ! [v21] : ! [v22] : ! [v23] : ( ~ m1_fraenkel(v23, v21, v22) | ~ v1_xboole_0(v23)) & ! [v21] : ! [v22] : ! [v23] : ( ~ m1_fraenkel(v23, v21, v22) | v1_xboole_0(v22) | ? [v24] : m2_fraenkel(v24, v21, v22, v23)) & ! [v21] : ! [v22] : ! [v23] : ( ~ m1_fraenkel(v23, v21, v22) | v1_fraenkel(v23)) & ! [v21] : ! [v22] : ! [v23] : ( ~ m2_relset_1(v23, v21, v22) | m1_relset_1(v23, v21, v22)) & ! [v21] : ! [v22] : ! [v23] : ( ~ v1_funct_2(v23, v21, v22) | ~ m1_relset_1(v23, v21, v22) | ~ v1_xboole_0(v23) | ~ v1_funct_1(v23) | v1_xboole_0(v22) | v1_xboole_0(v21)) & ! [v21] : ! [v22] : ! [v23] : ( ~ v1_funct_2(v23, v21, v22) | ~ m1_relset_1(v23, v21, v22) | ~ v1_funct_1(v23) | v1_partfun1(v23, v21, v22) | v1_xboole_0(v22) | v1_xboole_0(v21)) & ! [v21] : ! [v22] : ! [v23] : ( ~ v1_funct_2(v23, v21, v22) | ~ m1_relset_1(v23, v21, v22) | ~ v1_funct_1(v23) | v1_partfun1(v23, v21, v22) | v1_xboole_0(v22)) & ! [v21] : ! [v22] : ! [v23] : ( ~ v1_partfun1(v23, v21, v22) | ~ m1_relset_1(v23, v21, v22) | ~ v1_funct_1(v23) | v1_funct_2(v23, v21, v22)) & ! [v21] : ! [v22] : ! [v23] : ( ~ m1_relset_1(v23, v21, v22) | m2_relset_1(v23, v21, v22)) & ! [v21] : ! [v22] : (v22 = v21 | ~ v1_xboole_0(v22) | ~ v1_xboole_0(v21)) & ! [v21] : ! [v22] : ( ~ (k4_autgroup(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : ? [v24] : (k1_autgroup(v21) = v24 & u1_struct_0(v21) = v23 & ! [v25] : ( ~ m2_fraenkel(v25, v23, v23, v22) | m2_fraenkel(v25, v23, v23, v24)))) & ! [v21] : ! [v22] : ( ~ (k4_autgroup(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : (u1_struct_0(v21) = v23 & m1_fraenkel(v22, v23, v23))) & ! [v21] : ! [v22] : ( ~ (k1_autgroup(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : ? [v24] : ? [v25] : (k2_autgroup(v21) = v24 & k2_zfmisc_1(v22, v22) = v23 & u1_struct_0(v21) = v25 & ! [v26] : ! [v27] : ! [v28] : ( ~ (k2_binop_1(v22, v22, v22, v24, v26, v27) = v28) | ~ m2_relset_1(v24, v23, v22) | ~ v1_funct_2(v24, v23, v22) | ~ v1_funct_1(v24) | ~ m2_fraenkel(v27, v25, v25, v22) | ~ m2_fraenkel(v26, v25, v25, v22) | k7_funct_2(v25, v25, v25, v27, v26) = v28) & ! [v26] : ! [v27] : ! [v28] : ( ~ (k7_funct_2(v25, v25, v25, v27, v26) = v28) | ~ m2_relset_1(v24, v23, v22) | ~ v1_funct_2(v24, v23, v22) | ~ v1_funct_1(v24) | ~ m2_fraenkel(v27, v25, v25, v22) | ~ m2_fraenkel(v26, v25, v25, v22) | k2_binop_1(v22, v22, v22, v24, v26, v27) = v28) & ! [v26] : (v26 = v24 | ~ m2_relset_1(v26, v23, v22) | ~ v1_funct_2(v26, v23, v22) | ~ v1_funct_1(v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ( ~ (v30 = v29) & k2_binop_1(v22, v22, v22, v26, v27, v28) = v29 & k7_funct_2(v25, v25, v25, v28, v27) = v30 & m2_fraenkel(v28, v25, v25, v22) & m2_fraenkel(v27, v25, v25, v22))))) & ! [v21] : ! [v22] : ( ~ (k1_autgroup(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : ? [v24] : (k4_autgroup(v21) = v24 & u1_struct_0(v21) = v23 & ! [v25] : ( ~ m2_fraenkel(v25, v23, v23, v24) | m2_fraenkel(v25, v23, v23, v22)))) & ! [v21] : ! [v22] : ( ~ (k1_autgroup(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : ? [v24] : (k2_autgroup(v21) = v23 & k2_zfmisc_1(v22, v22) = v24 & m2_relset_1(v23, v24, v22) & v1_funct_2(v23, v24, v22) & v1_funct_1(v23))) & ! [v21] : ! [v22] : ( ~ (k1_autgroup(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : (u1_struct_0(v21) = v23 & m1_fraenkel(v22, v23, v23))) & ! [v21] : ! [v22] : ( ~ (k2_autgroup(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v1_funct_1(v22) | v3_struct_0(v21)) & ! [v21] : ! [v22] : ( ~ (k2_autgroup(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : ? [v24] : ? [v25] : (k1_autgroup(v21) = v23 & k2_zfmisc_1(v23, v23) = v24 & u1_struct_0(v21) = v25 & ! [v26] : ! [v27] : ! [v28] : ( ~ (k2_binop_1(v23, v23, v23, v22, v26, v27) = v28) | ~ m2_relset_1(v22, v24, v23) | ~ v1_funct_2(v22, v24, v23) | ~ v1_funct_1(v22) | ~ m2_fraenkel(v27, v25, v25, v23) | ~ m2_fraenkel(v26, v25, v25, v23) | k7_funct_2(v25, v25, v25, v27, v26) = v28) & ! [v26] : ! [v27] : ! [v28] : ( ~ (k7_funct_2(v25, v25, v25, v27, v26) = v28) | ~ m2_relset_1(v22, v24, v23) | ~ v1_funct_2(v22, v24, v23) | ~ v1_funct_1(v22) | ~ m2_fraenkel(v27, v25, v25, v23) | ~ m2_fraenkel(v26, v25, v25, v23) | k2_binop_1(v23, v23, v23, v22, v26, v27) = v28) & ! [v26] : (v26 = v22 | ~ m2_relset_1(v26, v24, v23) | ~ v1_funct_2(v26, v24, v23) | ~ v1_funct_1(v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ( ~ (v30 = v29) & k2_binop_1(v23, v23, v23, v26, v27, v28) = v29 & k7_funct_2(v25, v25, v25, v28, v27) = v30 & m2_fraenkel(v28, v25, v25, v23) & m2_fraenkel(v27, v25, v25, v23))))) & ! [v21] : ! [v22] : ( ~ (k2_autgroup(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : ? [v24] : (k1_autgroup(v21) = v23 & k2_zfmisc_1(v23, v23) = v24 & m2_relset_1(v22, v24, v23) & v1_funct_2(v22, v24, v23))) & ! [v21] : ! [v22] : ( ~ (u1_struct_0(v21) = v22) | ~ l1_struct_0(v21) | ~ v1_xboole_0(v22) | v3_struct_0(v21)) & ! [v21] : ! [v22] : ( ~ (u1_struct_0(v21) = v22) | ~ l1_struct_0(v21) | v3_struct_0(v21) | ? [v23] : ? [v24] : (k1_zfmisc_1(v22) = v23 & m1_subset_1(v24, v23) & ~ v1_xboole_0(v24))) & ! [v21] : ! [v22] : ( ~ (u1_struct_0(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : ? [v24] : ? [v25] : (k1_autgroup(v21) = v23 & k2_autgroup(v21) = v25 & k2_zfmisc_1(v23, v23) = v24 & ! [v26] : ! [v27] : ! [v28] : ( ~ (k2_binop_1(v23, v23, v23, v25, v26, v27) = v28) | ~ m2_relset_1(v25, v24, v23) | ~ v1_funct_2(v25, v24, v23) | ~ v1_funct_1(v25) | ~ m2_fraenkel(v27, v22, v22, v23) | ~ m2_fraenkel(v26, v22, v22, v23) | k7_funct_2(v22, v22, v22, v27, v26) = v28) & ! [v26] : ! [v27] : ! [v28] : ( ~ (k7_funct_2(v22, v22, v22, v27, v26) = v28) | ~ m2_relset_1(v25, v24, v23) | ~ v1_funct_2(v25, v24, v23) | ~ v1_funct_1(v25) | ~ m2_fraenkel(v27, v22, v22, v23) | ~ m2_fraenkel(v26, v22, v22, v23) | k2_binop_1(v23, v23, v23, v25, v26, v27) = v28) & ! [v26] : (v26 = v25 | ~ m2_relset_1(v26, v24, v23) | ~ v1_funct_2(v26, v24, v23) | ~ v1_funct_1(v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ( ~ (v30 = v29) & k2_binop_1(v23, v23, v23, v26, v27, v28) = v29 & k7_funct_2(v22, v22, v22, v28, v27) = v30 & m2_fraenkel(v28, v22, v22, v23) & m2_fraenkel(v27, v22, v22, v23))))) & ! [v21] : ! [v22] : ( ~ (u1_struct_0(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : ? [v24] : (k4_autgroup(v21) = v23 & k1_autgroup(v21) = v24 & ! [v25] : ( ~ m2_fraenkel(v25, v22, v22, v23) | m2_fraenkel(v25, v22, v22, v24)))) & ! [v21] : ! [v22] : ( ~ (u1_struct_0(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : (k4_autgroup(v21) = v23 & m1_fraenkel(v23, v22, v22))) & ! [v21] : ! [v22] : ( ~ (u1_struct_0(v21) = v22) | ~ l1_group_1(v21) | ~ v4_group_1(v21) | ~ v3_group_1(v21) | ~ v1_group_1(v21) | v3_struct_0(v21) | ? [v23] : (k1_autgroup(v21) = v23 & m1_fraenkel(v23, v22, v22))) & ! [v21] : ! [v22] : ( ~ (u1_struct_0(v21) = v22) | ~ l1_group_1(v21) | ? [v23] : ? [v24] : (k2_zfmisc_1(v22, v22) = v24 & u1_group_1(v21) = v23 & m2_relset_1(v23, v24, v22) & v1_funct_2(v23, v24, v22) & v1_funct_1(v23))) & ! [v21] : ! [v22] : ( ~ (u1_group_1(v21) = v22) | ~ l1_group_1(v21) | v1_funct_1(v22)) & ! [v21] : ! [v22] : ( ~ (u1_group_1(v21) = v22) | ~ l1_group_1(v21) | ? [v23] : ? [v24] : (k2_zfmisc_1(v23, v23) = v24 & u1_struct_0(v21) = v23 & m2_relset_1(v22, v24, v23) & v1_funct_2(v22, v24, v23))) & ! [v21] : ! [v22] : ( ~ v1_xboole_0(v22) | ~ r2_hidden(v21, v22)) & ! [v21] : ! [v22] : ( ~ m1_subset_1(v22, v21) | ~ v1_fraenkel(v21) | v1_funct_1(v22)) & ! [v21] : ! [v22] : ( ~ m1_subset_1(v22, v21) | ~ v1_fraenkel(v21) | v1_relat_1(v22)) & ! [v21] : ! [v22] : ( ~ m1_subset_1(v21, v22) | v1_xboole_0(v22) | r2_hidden(v21, v22)) & ! [v21] : ! [v22] : ( ~ r2_hidden(v22, v21) | ~ r2_hidden(v21, v22)) & ! [v21] : ! [v22] : ( ~ r2_hidden(v21, v22) | m1_subset_1(v21, v22)) & ! [v21] : (v21 = k1_xboole_0 | ~ v1_xboole_0(v21)) & ! [v21] : ( ~ v1_xboole_0(v21) | ~ v1_funct_1(v21) | ~ v1_relat_1(v21) | v2_funct_1(v21)) & ! [v21] : ( ~ v1_xboole_0(v21) | v1_funct_1(v21)) & ! [v21] : ( ~ l1_group_1(v21) | ~ v3_group_1(v21) | v2_group_1(v21) | v3_struct_0(v21)) & ! [v21] : ( ~ l1_group_1(v21) | l1_struct_0(v21)) & ? [v21] : ? [v22] : ? [v23] : m1_fraenkel(v23, v21, v22) & ? [v21] : ? [v22] : ? [v23] : m2_relset_1(v23, v21, v22) & ? [v21] : ? [v22] : ? [v23] : m1_relset_1(v23, v21, v22) & ? [v21] : ? [v22] : ? [v23] : (v1_funct_2(v23, v21, v22) & m1_relset_1(v23, v21, v22) & v1_funct_1(v23) & v1_relat_1(v23)) & ? [v21] : ? [v22] : ? [v23] : (m1_relset_1(v23, v21, v22) & v1_funct_1(v23) & v1_relat_1(v23)) & ? [v21] : ? [v22] : m1_subset_1(v22, v21) & ? [v21] : r1_tarski(v21, v21)) % 16.10/4.39 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20 yields: % 16.10/4.39 | (1) ~ (all_0_13_13 = all_0_14_14) & k4_autgroup(all_0_20_20) = all_0_18_18 & k2_autgroup(all_0_20_20) = all_0_17_17 & k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, all_0_15_15, all_0_16_16) = all_0_13_13 & k1_binop_1(all_0_17_17, all_0_16_16, all_0_15_15) = all_0_14_14 & u1_struct_0(all_0_20_20) = all_0_19_19 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_12_12) & v2_funct_1(all_0_5_5) & v2_funct_1(all_0_10_10) & v2_group_1(all_0_11_11) & v1_xboole_0(all_0_5_5) & v1_xboole_0(all_0_6_6) & v1_xboole_0(all_0_7_7) & v1_xboole_0(k1_xboole_0) & v1_funct_1(all_0_3_3) & v1_funct_1(all_0_5_5) & v1_funct_1(all_0_7_7) & v1_funct_1(all_0_10_10) & v1_relat_1(all_0_3_3) & v1_relat_1(all_0_5_5) & v1_relat_1(all_0_7_7) & v1_relat_1(all_0_10_10) & v1_fraenkel(all_0_2_2) & m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_0_18_18) & m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_0_18_18) & l1_group_1(all_0_0_0) & l1_group_1(all_0_4_4) & l1_group_1(all_0_8_8) & l1_group_1(all_0_11_11) & l1_group_1(all_0_20_20) & v4_group_1(all_0_11_11) & v4_group_1(all_0_20_20) & v3_group_1(all_0_11_11) & v3_group_1(all_0_20_20) & v1_group_1(all_0_4_4) & v1_group_1(all_0_8_8) & v1_group_1(all_0_11_11) & v1_group_1(all_0_20_20) & ~ v1_xboole_0(all_0_2_2) & ~ v1_xboole_0(all_0_9_9) & ~ v3_struct_0(all_0_8_8) & ~ v3_struct_0(all_0_11_11) & ~ v3_struct_0(all_0_12_12) & ~ v3_struct_0(all_0_20_20) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v1) | ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (k7_funct_2(v6, v5, v4, v3, v2) = v1) | ~ (k7_funct_2(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) | ~ v1_funct_1(v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) | m1_subset_1(v6, v2) | ? [v7] : (k2_zfmisc_1(v0, v1) = v7 & ( ~ v1_funct_2(v3, v7, v2) | ~ m1_relset_1(v3, v7, v2)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) | ~ v1_funct_1(v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v7] : ? [v8] : (k1_binop_1(v3, v4, v5) = v8 & k2_zfmisc_1(v0, v1) = v7 & (v8 = v6 | ~ v1_funct_2(v3, v7, v2) | ~ m1_relset_1(v3, v7, v2)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_2(v4, v1, v2) | ~ v1_funct_2(v3, v0, v1) | ~ m1_relset_1(v4, v1, v2) | ~ m1_relset_1(v3, v0, v1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | k5_relat_1(v3, v4) = v5 | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_2(v4, v1, v2) | ~ v1_funct_2(v3, v0, v1) | ~ m1_relset_1(v4, v1, v2) | ~ m1_relset_1(v3, v0, v1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | m2_relset_1(v5, v0, v2) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_2(v4, v1, v2) | ~ v1_funct_2(v3, v0, v1) | ~ m1_relset_1(v4, v1, v2) | ~ m1_relset_1(v3, v0, v1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | v1_funct_2(v5, v0, v2) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_2(v4, v1, v2) | ~ v1_funct_2(v3, v0, v1) | ~ m1_relset_1(v4, v1, v2) | ~ m1_relset_1(v3, v0, v1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | v1_xboole_0(v1) | v1_funct_1(v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (g1_group_1(v3, v4) = v2) | ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) | ~ m1_relset_1(v1, v5, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v0 | ~ (g1_group_1(v3, v4) = v2) | ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) | ~ m1_relset_1(v1, v5, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k1_binop_1(v4, v3, v2) = v1) | ~ (k1_binop_1(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k1_tarski(v0) = v3) | ~ (k2_tarski(v2, v3) = v4) | ~ (k2_tarski(v0, v1) = v2) | k4_tarski(v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k4_tarski(v1, v2) = v3) | ~ (k1_funct_1(v0, v3) = v4) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | k1_binop_1(v0, v1, v2) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (u1_struct_0(v0) = v1) | ~ (u1_group_1(v0) = v2) | ~ (g1_group_1(v1, v2) = v3) | ~ l1_group_1(v0) | ~ v1_group_1(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k5_relat_1(v3, v2) = v1) | ~ (k5_relat_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k4_tarski(v3, v2) = v1) | ~ (k4_tarski(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_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] : (v1 = v0 | ~ (g1_group_1(v3, v2) = v1) | ~ (g1_group_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_binop_1(v0, v1, v2) = v3) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | ? [v4] : (k4_tarski(v1, v2) = v4 & k1_funct_1(v0, v4) = v3)) & ! [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] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v1) | m2_fraenkel(v3, v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | m2_relset_1(v3, v0, v1) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_funct_2(v3, v0, v1) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | v1_funct_1(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | m1_subset_1(v3, 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 | ~ (k4_autgroup(v2) = v1) | ~ (k4_autgroup(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_tarski(v2) = v1) | ~ (k1_tarski(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_autgroup(v2) = v1) | ~ (k1_autgroup(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k2_autgroup(v2) = v1) | ~ (k2_autgroup(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_group_1(v2) = v1) | ~ (u1_group_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ~ v1_funct_1(v0) | ~ v1_relat_1(v1) | ~ v1_relat_1(v0) | v1_funct_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ~ v1_funct_1(v0) | ~ v1_relat_1(v1) | ~ v1_relat_1(v0) | v1_relat_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ~ v1_relat_1(v1) | ~ v1_relat_1(v0) | v1_relat_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_autgroup(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v3] : ? [v4] : (k2_autgroup(v0) = v3 & u1_struct_0(v0) = v4 & ! [v5] : ! [v6] : ! [v7] : ( ~ (k2_binop_1(v1, v1, v1, v3, v5, v6) = v7) | ~ m2_relset_1(v3, v2, v1) | ~ v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | k7_funct_2(v4, v4, v4, v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (k7_funct_2(v4, v4, v4, v6, v5) = v7) | ~ m2_relset_1(v3, v2, v1) | ~ v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | k2_binop_1(v1, v1, v1, v3, v5, v6) = v7) & ! [v5] : (v5 = v3 | ~ m2_relset_1(v5, v2, v1) | ~ v1_funct_2(v5, v2, v1) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v8) & k2_binop_1(v1, v1, v1, v5, v6, v7) = v8 & k7_funct_2(v4, v4, v4, v7, v6) = v9 & m2_fraenkel(v7, v4, v4, v1) & m2_fraenkel(v6, v4, v4, v1))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_autgroup(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v3] : (k2_autgroup(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k4_tarski(v0, v1) = v2) | ? [v3] : ? [v4] : (k1_tarski(v0) = v4 & k2_tarski(v3, v4) = v2 & k2_tarski(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ? [v3] : (u1_group_1(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3))) & ! [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] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ~ v3_struct_0(v2) | v1_xboole_0(v0) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | v1_xboole_0(v0) | v1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | l1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | v1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | ~ v1_xboole_0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) | ? [v3] : m2_fraenkel(v3, v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_fraenkel(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_xboole_0(v2) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_partfun1(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_funct_2(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (k4_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_autgroup(v0) = v3 & u1_struct_0(v0) = v2 & ! [v4] : ( ~ m2_fraenkel(v4, v2, v2, v1) | m2_fraenkel(v4, v2, v2, v3)))) & ! [v0] : ! [v1] : ( ~ (k4_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & m1_fraenkel(v1, v2, v2))) & ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k2_autgroup(v0) = v3 & k2_zfmisc_1(v1, v1) = v2 & u1_struct_0(v0) = v4 & ! [v5] : ! [v6] : ! [v7] : ( ~ (k2_binop_1(v1, v1, v1, v3, v5, v6) = v7) | ~ m2_relset_1(v3, v2, v1) | ~ v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | k7_funct_2(v4, v4, v4, v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (k7_funct_2(v4, v4, v4, v6, v5) = v7) | ~ m2_relset_1(v3, v2, v1) | ~ v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | k2_binop_1(v1, v1, v1, v3, v5, v6) = v7) & ! [v5] : (v5 = v3 | ~ m2_relset_1(v5, v2, v1) | ~ v1_funct_2(v5, v2, v1) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v8) & k2_binop_1(v1, v1, v1, v5, v6, v7) = v8 & k7_funct_2(v4, v4, v4, v7, v6) = v9 & m2_fraenkel(v7, v4, v4, v1) & m2_fraenkel(v6, v4, v4, v1))))) & ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k4_autgroup(v0) = v3 & u1_struct_0(v0) = v2 & ! [v4] : ( ~ m2_fraenkel(v4, v2, v2, v3) | m2_fraenkel(v4, v2, v2, v1)))) & ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_autgroup(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & m1_fraenkel(v1, v2, v2))) & ! [v0] : ! [v1] : ( ~ (k2_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v1_funct_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k2_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_autgroup(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v4 & ! [v5] : ! [v6] : ! [v7] : ( ~ (k2_binop_1(v2, v2, v2, v1, v5, v6) = v7) | ~ m2_relset_1(v1, v3, v2) | ~ v1_funct_2(v1, v3, v2) | ~ v1_funct_1(v1) | ~ m2_fraenkel(v6, v4, v4, v2) | ~ m2_fraenkel(v5, v4, v4, v2) | k7_funct_2(v4, v4, v4, v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (k7_funct_2(v4, v4, v4, v6, v5) = v7) | ~ m2_relset_1(v1, v3, v2) | ~ v1_funct_2(v1, v3, v2) | ~ v1_funct_1(v1) | ~ m2_fraenkel(v6, v4, v4, v2) | ~ m2_fraenkel(v5, v4, v4, v2) | k2_binop_1(v2, v2, v2, v1, v5, v6) = v7) & ! [v5] : (v5 = v1 | ~ m2_relset_1(v5, v3, v2) | ~ v1_funct_2(v5, v3, v2) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v8) & k2_binop_1(v2, v2, v2, v5, v6, v7) = v8 & k7_funct_2(v4, v4, v4, v7, v6) = v9 & m2_fraenkel(v7, v4, v4, v2) & m2_fraenkel(v6, v4, v4, v2))))) & ! [v0] : ! [v1] : ( ~ (k2_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_autgroup(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) & ! [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_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_autgroup(v0) = v2 & k2_autgroup(v0) = v4 & k2_zfmisc_1(v2, v2) = v3 & ! [v5] : ! [v6] : ! [v7] : ( ~ (k2_binop_1(v2, v2, v2, v4, v5, v6) = v7) | ~ m2_relset_1(v4, v3, v2) | ~ v1_funct_2(v4, v3, v2) | ~ v1_funct_1(v4) | ~ m2_fraenkel(v6, v1, v1, v2) | ~ m2_fraenkel(v5, v1, v1, v2) | k7_funct_2(v1, v1, v1, v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (k7_funct_2(v1, v1, v1, v6, v5) = v7) | ~ m2_relset_1(v4, v3, v2) | ~ v1_funct_2(v4, v3, v2) | ~ v1_funct_1(v4) | ~ m2_fraenkel(v6, v1, v1, v2) | ~ m2_fraenkel(v5, v1, v1, v2) | k2_binop_1(v2, v2, v2, v4, v5, v6) = v7) & ! [v5] : (v5 = v4 | ~ m2_relset_1(v5, v3, v2) | ~ v1_funct_2(v5, v3, v2) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v8) & k2_binop_1(v2, v2, v2, v5, v6, v7) = v8 & k7_funct_2(v1, v1, v1, v7, v6) = v9 & m2_fraenkel(v7, v1, v1, v2) & m2_fraenkel(v6, v1, v1, v2))))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k4_autgroup(v0) = v2 & k1_autgroup(v0) = v3 & ! [v4] : ( ~ m2_fraenkel(v4, v1, v1, v2) | m2_fraenkel(v4, v1, v1, v3)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k4_autgroup(v0) = v2 & m1_fraenkel(v2, v1, v1))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k1_autgroup(v0) = v2 & m1_fraenkel(v2, v1, v1))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_group_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_group_1(v0) = v1) | ~ l1_group_1(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ (u1_group_1(v0) = v1) | ~ l1_group_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) & ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v1, v0) | ~ v1_fraenkel(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v1, v0) | ~ v1_fraenkel(v0) | v1_relat_1(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_xboole_0(v0) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | v2_funct_1(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0)) & ! [v0] : ( ~ l1_group_1(v0) | ~ v3_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0)) & ? [v0] : ? [v1] : ? [v2] : m1_fraenkel(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : (v1_funct_2(v2, v0, v1) & m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2)) & ? [v0] : ? [v1] : ? [v2] : (m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2)) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0) % 16.55/4.41 | % 16.55/4.41 | Applying alpha-rule on (1) yields: % 16.55/4.41 | (2) v4_group_1(all_0_11_11) % 16.55/4.41 | (3) ~ v3_struct_0(all_0_12_12) % 16.55/4.41 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | m2_relset_1(v3, v0, v1) | v1_xboole_0(v1)) % 16.55/4.41 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 16.55/4.41 | (6) v1_fraenkel(all_0_2_2) % 16.55/4.41 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) % 16.55/4.41 | (8) v1_group_1(all_0_8_8) % 16.55/4.41 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_2(v4, v1, v2) | ~ v1_funct_2(v3, v0, v1) | ~ m1_relset_1(v4, v1, v2) | ~ m1_relset_1(v3, v0, v1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | k5_relat_1(v3, v4) = v5 | v1_xboole_0(v1)) % 16.55/4.41 | (10) ! [v0] : ! [v1] : ( ~ (k2_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_autgroup(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v4 & ! [v5] : ! [v6] : ! [v7] : ( ~ (k2_binop_1(v2, v2, v2, v1, v5, v6) = v7) | ~ m2_relset_1(v1, v3, v2) | ~ v1_funct_2(v1, v3, v2) | ~ v1_funct_1(v1) | ~ m2_fraenkel(v6, v4, v4, v2) | ~ m2_fraenkel(v5, v4, v4, v2) | k7_funct_2(v4, v4, v4, v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (k7_funct_2(v4, v4, v4, v6, v5) = v7) | ~ m2_relset_1(v1, v3, v2) | ~ v1_funct_2(v1, v3, v2) | ~ v1_funct_1(v1) | ~ m2_fraenkel(v6, v4, v4, v2) | ~ m2_fraenkel(v5, v4, v4, v2) | k2_binop_1(v2, v2, v2, v1, v5, v6) = v7) & ! [v5] : (v5 = v1 | ~ m2_relset_1(v5, v3, v2) | ~ v1_funct_2(v5, v3, v2) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v8) & k2_binop_1(v2, v2, v2, v5, v6, v7) = v8 & k7_funct_2(v4, v4, v4, v7, v6) = v9 & m2_fraenkel(v7, v4, v4, v2) & m2_fraenkel(v6, v4, v4, v2))))) % 16.55/4.42 | (11) ! [v0] : ! [v1] : ( ~ (k2_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_autgroup(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) % 16.55/4.42 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ~ v1_funct_1(v0) | ~ v1_relat_1(v1) | ~ v1_relat_1(v0) | v1_relat_1(v2)) % 16.55/4.42 | (13) v1_relat_1(all_0_7_7) % 16.55/4.42 | (14) ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k4_autgroup(v0) = v3 & u1_struct_0(v0) = v2 & ! [v4] : ( ~ m2_fraenkel(v4, v2, v2, v3) | m2_fraenkel(v4, v2, v2, v1)))) % 16.55/4.42 | (15) l1_struct_0(all_0_12_12) % 16.55/4.42 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k1_tarski(v0) = v3) | ~ (k2_tarski(v2, v3) = v4) | ~ (k2_tarski(v0, v1) = v2) | k4_tarski(v0, v1) = v4) % 16.55/4.42 | (17) m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_0_18_18) % 16.55/4.42 | (18) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) % 16.55/4.42 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2) % 16.55/4.42 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2) % 16.55/4.42 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 16.55/4.42 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0)) % 16.55/4.42 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_tarski(v3, v2) = v1) | ~ (k2_tarski(v3, v2) = v0)) % 16.55/4.42 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ~ v3_struct_0(v2) | v1_xboole_0(v0) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0)))) % 16.55/4.42 | (25) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) % 16.55/4.42 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (u1_struct_0(v0) = v1) | ~ (u1_group_1(v0) = v2) | ~ (g1_group_1(v1, v2) = v3) | ~ l1_group_1(v0) | ~ v1_group_1(v0)) % 16.55/4.42 | (27) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) % 16.55/4.42 | (28) ? [v0] : ? [v1] : m1_subset_1(v1, v0) % 16.55/4.42 | (29) l1_group_1(all_0_4_4) % 16.55/4.42 | (30) l1_group_1(all_0_20_20) % 16.55/4.42 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k5_relat_1(v3, v2) = v1) | ~ (k5_relat_1(v3, v2) = v0)) % 16.55/4.42 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (g1_group_1(v3, v2) = v1) | ~ (g1_group_1(v3, v2) = v0)) % 16.55/4.42 | (33) ? [v0] : ? [v1] : ? [v2] : (m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2)) % 16.55/4.42 | (34) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_autgroup(v0) = v2 & k2_autgroup(v0) = v4 & k2_zfmisc_1(v2, v2) = v3 & ! [v5] : ! [v6] : ! [v7] : ( ~ (k2_binop_1(v2, v2, v2, v4, v5, v6) = v7) | ~ m2_relset_1(v4, v3, v2) | ~ v1_funct_2(v4, v3, v2) | ~ v1_funct_1(v4) | ~ m2_fraenkel(v6, v1, v1, v2) | ~ m2_fraenkel(v5, v1, v1, v2) | k7_funct_2(v1, v1, v1, v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (k7_funct_2(v1, v1, v1, v6, v5) = v7) | ~ m2_relset_1(v4, v3, v2) | ~ v1_funct_2(v4, v3, v2) | ~ v1_funct_1(v4) | ~ m2_fraenkel(v6, v1, v1, v2) | ~ m2_fraenkel(v5, v1, v1, v2) | k2_binop_1(v2, v2, v2, v4, v5, v6) = v7) & ! [v5] : (v5 = v4 | ~ m2_relset_1(v5, v3, v2) | ~ v1_funct_2(v5, v3, v2) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v8) & k2_binop_1(v2, v2, v2, v5, v6, v7) = v8 & k7_funct_2(v1, v1, v1, v7, v6) = v9 & m2_fraenkel(v7, v1, v1, v2) & m2_fraenkel(v6, v1, v1, v2))))) % 16.55/4.42 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | v1_funct_1(v3)) % 16.55/4.42 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v0 | ~ (g1_group_1(v3, v4) = v2) | ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) | ~ m1_relset_1(v1, v5, v0)))) % 16.55/4.42 | (37) k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, all_0_15_15, all_0_16_16) = all_0_13_13 % 16.55/4.42 | (38) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_tarski(v2) = v1) | ~ (k1_tarski(v2) = v0)) % 16.55/4.42 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_group_1(v2) = v1) | ~ (u1_group_1(v2) = v0)) % 16.55/4.42 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | v1_xboole_0(v0) | v1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0)))) % 16.55/4.42 | (41) v1_funct_1(all_0_5_5) % 16.55/4.42 | (42) ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_autgroup(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) % 16.55/4.42 | (43) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) % 16.55/4.42 | (44) ! [v0] : ! [v1] : ( ~ (k4_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & m1_fraenkel(v1, v2, v2))) % 16.55/4.42 | (45) v1_xboole_0(all_0_5_5) % 16.55/4.42 | (46) ! [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))) % 16.55/4.42 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (k7_funct_2(v6, v5, v4, v3, v2) = v1) | ~ (k7_funct_2(v6, v5, v4, v3, v2) = v0)) % 16.55/4.42 | (48) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) % 16.55/4.42 | (49) ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0)) % 16.55/4.42 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | v1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0)))) % 16.55/4.42 | (51) ~ v3_struct_0(all_0_20_20) % 16.55/4.42 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k4_tarski(v1, v2) = v3) | ~ (k1_funct_1(v0, v3) = v4) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | k1_binop_1(v0, v1, v2) = v4) % 16.55/4.42 | (53) v3_group_1(all_0_11_11) % 16.55/4.42 | (54) v2_funct_1(all_0_5_5) % 16.55/4.42 | (55) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) % 16.55/4.42 | (56) v2_funct_1(all_0_10_10) % 16.55/4.42 | (57) ! [v0] : ! [v1] : ( ~ (k2_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v1_funct_1(v1) | v3_struct_0(v0)) % 16.55/4.42 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ? [v3] : (u1_group_1(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3))) % 16.55/4.42 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ~ v1_relat_1(v1) | ~ v1_relat_1(v0) | v1_relat_1(v2)) % 16.55/4.42 | (60) ? [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))) % 16.55/4.43 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) | ~ v1_funct_1(v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) | m1_subset_1(v6, v2) | ? [v7] : (k2_zfmisc_1(v0, v1) = v7 & ( ~ v1_funct_2(v3, v7, v2) | ~ m1_relset_1(v3, v7, v2)))) % 16.55/4.43 | (62) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) % 16.55/4.43 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) % 16.55/4.43 | (64) ! [v0] : ! [v1] : ( ~ (k4_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_autgroup(v0) = v3 & u1_struct_0(v0) = v2 & ! [v4] : ( ~ m2_fraenkel(v4, v2, v2, v1) | m2_fraenkel(v4, v2, v2, v3)))) % 16.55/4.43 | (65) ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0)) % 16.55/4.43 | (66) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) % 16.55/4.43 | (67) ? [v0] : ? [v1] : ? [v2] : m1_fraenkel(v2, v0, v1) % 16.55/4.43 | (68) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k1_autgroup(v0) = v2 & m1_fraenkel(v2, v1, v1))) % 16.55/4.43 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_funct_2(v3, v0, v1) | v1_xboole_0(v1)) % 16.55/4.43 | (70) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k4_autgroup(v0) = v2 & m1_fraenkel(v2, v1, v1))) % 16.55/4.43 | (71) ! [v0] : ! [v1] : ( ~ (u1_group_1(v0) = v1) | ~ l1_group_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) % 16.55/4.43 | (72) ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & m1_fraenkel(v1, v2, v2))) % 16.55/4.43 | (73) v1_relat_1(all_0_3_3) % 16.55/4.43 | (74) v1_relat_1(all_0_10_10) % 16.55/4.43 | (75) v1_funct_1(all_0_3_3) % 16.55/4.43 | (76) ! [v0] : ( ~ l1_group_1(v0) | ~ v3_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0)) % 16.55/4.43 | (77) ! [v0] : ! [v1] : ( ~ (u1_group_1(v0) = v1) | ~ l1_group_1(v0) | v1_funct_1(v1)) % 16.55/4.43 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_autgroup(v2) = v1) | ~ (k1_autgroup(v2) = v0)) % 16.55/4.43 | (79) v1_xboole_0(all_0_7_7) % 16.55/4.43 | (80) v1_group_1(all_0_4_4) % 16.55/4.43 | (81) ~ v3_struct_0(all_0_8_8) % 16.55/4.43 | (82) ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k2_autgroup(v0) = v3 & k2_zfmisc_1(v1, v1) = v2 & u1_struct_0(v0) = v4 & ! [v5] : ! [v6] : ! [v7] : ( ~ (k2_binop_1(v1, v1, v1, v3, v5, v6) = v7) | ~ m2_relset_1(v3, v2, v1) | ~ v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | k7_funct_2(v4, v4, v4, v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (k7_funct_2(v4, v4, v4, v6, v5) = v7) | ~ m2_relset_1(v3, v2, v1) | ~ v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | k2_binop_1(v1, v1, v1, v3, v5, v6) = v7) & ! [v5] : (v5 = v3 | ~ m2_relset_1(v5, v2, v1) | ~ v1_funct_2(v5, v2, v1) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v8) & k2_binop_1(v1, v1, v1, v5, v6, v7) = v8 & k7_funct_2(v4, v4, v4, v7, v6) = v9 & m2_fraenkel(v7, v4, v4, v1) & m2_fraenkel(v6, v4, v4, v1))))) % 16.55/4.43 | (83) v3_group_1(all_0_20_20) % 16.55/4.43 | (84) l1_group_1(all_0_11_11) % 16.55/4.43 | (85) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k4_autgroup(v0) = v2 & k1_autgroup(v0) = v3 & ! [v4] : ( ~ m2_fraenkel(v4, v1, v1, v2) | m2_fraenkel(v4, v1, v1, v3)))) % 16.55/4.43 | (86) ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ~ v1_funct_1(v0) | ~ v1_relat_1(v1) | ~ v1_relat_1(v0) | v1_funct_1(v2)) % 16.55/4.43 | (87) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) % 16.55/4.43 | (88) v1_funct_1(all_0_7_7) % 16.55/4.43 | (89) ~ (all_0_13_13 = all_0_14_14) % 16.55/4.43 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k2_autgroup(v2) = v1) | ~ (k2_autgroup(v2) = v0)) % 16.55/4.43 | (91) ? [v0] : ? [v1] : ? [v2] : (v1_funct_2(v2, v0, v1) & m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2)) % 16.55/4.43 | (92) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_fraenkel(v2)) % 16.55/4.43 | (93) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) % 16.55/4.43 | (94) v1_funct_1(all_0_10_10) % 16.55/4.43 | (95) l1_group_1(all_0_8_8) % 16.55/4.43 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_2(v4, v1, v2) | ~ v1_funct_2(v3, v0, v1) | ~ m1_relset_1(v4, v1, v2) | ~ m1_relset_1(v3, v0, v1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | m2_relset_1(v5, v0, v2) | v1_xboole_0(v1)) % 16.55/4.43 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1)) % 16.55/4.43 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) % 16.55/4.43 | (99) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) % 16.55/4.43 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_xboole_0(v2) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) % 16.55/4.43 | (101) ! [v0] : ! [v1] : ( ~ m1_subset_1(v1, v0) | ~ v1_fraenkel(v0) | v1_funct_1(v1)) % 16.55/4.43 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (g1_group_1(v3, v4) = v2) | ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) | ~ m1_relset_1(v1, v5, v0)))) % 16.55/4.43 | (103) k1_binop_1(all_0_17_17, all_0_16_16, all_0_15_15) = all_0_14_14 % 16.55/4.43 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k4_tarski(v3, v2) = v1) | ~ (k4_tarski(v3, v2) = v0)) % 16.55/4.43 | (105) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_group_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) % 16.55/4.43 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v1) | ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v0)) % 16.55/4.43 | (107) ! [v0] : ! [v1] : ( ~ m1_subset_1(v1, v0) | ~ v1_fraenkel(v0) | v1_relat_1(v1)) % 16.55/4.43 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k1_binop_1(v4, v3, v2) = v1) | ~ (k1_binop_1(v4, v3, v2) = v0)) % 16.55/4.43 | (109) ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | l1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0)))) % 16.55/4.43 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_2(v4, v1, v2) | ~ v1_funct_2(v3, v0, v1) | ~ m1_relset_1(v4, v1, v2) | ~ m1_relset_1(v3, v0, v1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | v1_funct_2(v5, v0, v2) | v1_xboole_0(v1)) % 16.55/4.43 | (111) v1_group_1(all_0_20_20) % 16.55/4.43 | (112) v2_group_1(all_0_11_11) % 16.55/4.43 | (113) ! [v0] : ( ~ v1_xboole_0(v0) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | v2_funct_1(v0)) % 16.55/4.43 | (114) u1_struct_0(all_0_20_20) = all_0_19_19 % 16.55/4.43 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_binop_1(v0, v1, v2) = v3) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | ? [v4] : (k4_tarski(v1, v2) = v4 & k1_funct_1(v0, v4) = v3)) % 16.55/4.43 | (116) v1_relat_1(all_0_5_5) % 16.55/4.43 | (117) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_partfun1(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_funct_2(v2, v0, v1)) % 16.55/4.43 | (118) k2_autgroup(all_0_20_20) = all_0_17_17 % 16.55/4.43 | (119) l1_group_1(all_0_0_0) % 16.55/4.43 | (120) ? [v0] : r1_tarski(v0, v0) % 16.55/4.43 | (121) ~ v1_xboole_0(all_0_9_9) % 16.55/4.43 | (122) ~ v3_struct_0(all_0_11_11) % 16.55/4.43 | (123) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | ~ v1_xboole_0(v2)) % 16.55/4.43 | (124) l1_struct_0(all_0_1_1) % 16.55/4.43 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | m1_subset_1(v3, v2)) % 16.55/4.43 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v1) | m2_fraenkel(v3, v0, v1, v2)) % 16.55/4.43 | (127) ! [v0] : ! [v1] : ! [v2] : ( ~ (k4_tarski(v0, v1) = v2) | ? [v3] : ? [v4] : (k1_tarski(v0) = v4 & k2_tarski(v3, v4) = v2 & k2_tarski(v0, v1) = v3)) % 16.55/4.43 | (128) ~ v1_xboole_0(all_0_2_2) % 16.55/4.43 | (129) k4_autgroup(all_0_20_20) = all_0_18_18 % 16.55/4.44 | (130) m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_0_18_18) % 16.55/4.44 | (131) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_autgroup(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v3] : (k2_autgroup(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3))) % 16.55/4.44 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2)) % 16.55/4.44 | (133) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) | ? [v3] : m2_fraenkel(v3, v0, v1, v2)) % 16.55/4.44 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_2(v4, v1, v2) | ~ v1_funct_2(v3, v0, v1) | ~ m1_relset_1(v4, v1, v2) | ~ m1_relset_1(v3, v0, v1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | v1_xboole_0(v1) | v1_funct_1(v5)) % 16.55/4.44 | (135) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1)) % 16.55/4.44 | (136) v1_xboole_0(k1_xboole_0) % 16.55/4.44 | (137) v1_xboole_0(all_0_6_6) % 16.55/4.44 | (138) ! [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))) % 16.55/4.44 | (139) v4_group_1(all_0_20_20) % 16.55/4.44 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k4_autgroup(v2) = v1) | ~ (k4_autgroup(v2) = v0)) % 16.55/4.44 | (141) v1_group_1(all_0_11_11) % 16.55/4.44 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) % 16.55/4.44 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) | ~ v1_funct_1(v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v7] : ? [v8] : (k1_binop_1(v3, v4, v5) = v8 & k2_zfmisc_1(v0, v1) = v7 & (v8 = v6 | ~ v1_funct_2(v3, v7, v2) | ~ m1_relset_1(v3, v7, v2)))) % 16.55/4.44 | (144) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_autgroup(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v3] : ? [v4] : (k2_autgroup(v0) = v3 & u1_struct_0(v0) = v4 & ! [v5] : ! [v6] : ! [v7] : ( ~ (k2_binop_1(v1, v1, v1, v3, v5, v6) = v7) | ~ m2_relset_1(v3, v2, v1) | ~ v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | k7_funct_2(v4, v4, v4, v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (k7_funct_2(v4, v4, v4, v6, v5) = v7) | ~ m2_relset_1(v3, v2, v1) | ~ v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | k2_binop_1(v1, v1, v1, v3, v5, v6) = v7) & ! [v5] : (v5 = v3 | ~ m2_relset_1(v5, v2, v1) | ~ v1_funct_2(v5, v2, v1) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v8) & k2_binop_1(v1, v1, v1, v5, v6, v7) = v8 & k7_funct_2(v4, v4, v4, v7, v6) = v9 & m2_fraenkel(v7, v4, v4, v1) & m2_fraenkel(v6, v4, v4, v1))))) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (105) with all_0_19_19, all_0_20_20 and discharging atoms u1_struct_0(all_0_20_20) = all_0_19_19, l1_group_1(all_0_20_20), yields: % 16.55/4.44 | (145) ? [v0] : ? [v1] : (k2_zfmisc_1(all_0_19_19, all_0_19_19) = v1 & u1_group_1(all_0_20_20) = v0 & m2_relset_1(v0, v1, all_0_19_19) & v1_funct_2(v0, v1, all_0_19_19) & v1_funct_1(v0)) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (49) with all_0_20_20 and discharging atoms l1_group_1(all_0_20_20), yields: % 16.55/4.44 | (146) l1_struct_0(all_0_20_20) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (64) with all_0_18_18, all_0_20_20 and discharging atoms k4_autgroup(all_0_20_20) = all_0_18_18, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.44 | (147) ? [v0] : ? [v1] : (k1_autgroup(all_0_20_20) = v1 & u1_struct_0(all_0_20_20) = v0 & ! [v2] : ( ~ m2_fraenkel(v2, v0, v0, all_0_18_18) | m2_fraenkel(v2, v0, v0, v1))) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (44) with all_0_18_18, all_0_20_20 and discharging atoms k4_autgroup(all_0_20_20) = all_0_18_18, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.44 | (148) ? [v0] : (u1_struct_0(all_0_20_20) = v0 & m1_fraenkel(all_0_18_18, v0, v0)) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (57) with all_0_17_17, all_0_20_20 and discharging atoms k2_autgroup(all_0_20_20) = all_0_17_17, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.44 | (149) v1_funct_1(all_0_17_17) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (10) with all_0_17_17, all_0_20_20 and discharging atoms k2_autgroup(all_0_20_20) = all_0_17_17, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.44 | (150) ? [v0] : ? [v1] : ? [v2] : (k1_autgroup(all_0_20_20) = v0 & k2_zfmisc_1(v0, v0) = v1 & u1_struct_0(all_0_20_20) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(v0, v0, v0, all_0_17_17, v3, v4) = v5) | ~ m2_relset_1(all_0_17_17, v1, v0) | ~ v1_funct_2(all_0_17_17, v1, v0) | ~ v1_funct_1(all_0_17_17) | ~ m2_fraenkel(v4, v2, v2, v0) | ~ m2_fraenkel(v3, v2, v2, v0) | k7_funct_2(v2, v2, v2, v4, v3) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(v2, v2, v2, v4, v3) = v5) | ~ m2_relset_1(all_0_17_17, v1, v0) | ~ v1_funct_2(all_0_17_17, v1, v0) | ~ v1_funct_1(all_0_17_17) | ~ m2_fraenkel(v4, v2, v2, v0) | ~ m2_fraenkel(v3, v2, v2, v0) | k2_binop_1(v0, v0, v0, all_0_17_17, v3, v4) = v5) & ! [v3] : (v3 = all_0_17_17 | ~ m2_relset_1(v3, v1, v0) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_1(v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & k2_binop_1(v0, v0, v0, v3, v4, v5) = v6 & k7_funct_2(v2, v2, v2, v5, v4) = v7 & m2_fraenkel(v5, v2, v2, v0) & m2_fraenkel(v4, v2, v2, v0)))) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (11) with all_0_17_17, all_0_20_20 and discharging atoms k2_autgroup(all_0_20_20) = all_0_17_17, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.44 | (151) ? [v0] : ? [v1] : (k1_autgroup(all_0_20_20) = v0 & k2_zfmisc_1(v0, v0) = v1 & m2_relset_1(all_0_17_17, v1, v0) & v1_funct_2(all_0_17_17, v1, v0)) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (34) with all_0_19_19, all_0_20_20 and discharging atoms u1_struct_0(all_0_20_20) = all_0_19_19, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.44 | (152) ? [v0] : ? [v1] : ? [v2] : (k1_autgroup(all_0_20_20) = v0 & k2_autgroup(all_0_20_20) = v2 & k2_zfmisc_1(v0, v0) = v1 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(v0, v0, v0, v2, v3, v4) = v5) | ~ m2_relset_1(v2, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v2) | ~ m2_fraenkel(v4, all_0_19_19, all_0_19_19, v0) | ~ m2_fraenkel(v3, all_0_19_19, all_0_19_19, v0) | k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, v4, v3) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, v4, v3) = v5) | ~ m2_relset_1(v2, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v2) | ~ m2_fraenkel(v4, all_0_19_19, all_0_19_19, v0) | ~ m2_fraenkel(v3, all_0_19_19, all_0_19_19, v0) | k2_binop_1(v0, v0, v0, v2, v3, v4) = v5) & ! [v3] : (v3 = v2 | ~ m2_relset_1(v3, v1, v0) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_1(v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & k2_binop_1(v0, v0, v0, v3, v4, v5) = v6 & k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, v5, v4) = v7 & m2_fraenkel(v5, all_0_19_19, all_0_19_19, v0) & m2_fraenkel(v4, all_0_19_19, all_0_19_19, v0)))) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (85) with all_0_19_19, all_0_20_20 and discharging atoms u1_struct_0(all_0_20_20) = all_0_19_19, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.44 | (153) ? [v0] : ? [v1] : (k4_autgroup(all_0_20_20) = v0 & k1_autgroup(all_0_20_20) = v1 & ! [v2] : ( ~ m2_fraenkel(v2, all_0_19_19, all_0_19_19, v0) | m2_fraenkel(v2, all_0_19_19, all_0_19_19, v1))) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (70) with all_0_19_19, all_0_20_20 and discharging atoms u1_struct_0(all_0_20_20) = all_0_19_19, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.44 | (154) ? [v0] : (k4_autgroup(all_0_20_20) = v0 & m1_fraenkel(v0, all_0_19_19, all_0_19_19)) % 16.55/4.44 | % 16.55/4.44 | Instantiating formula (68) with all_0_19_19, all_0_20_20 and discharging atoms u1_struct_0(all_0_20_20) = all_0_19_19, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.44 | (155) ? [v0] : (k1_autgroup(all_0_20_20) = v0 & m1_fraenkel(v0, all_0_19_19, all_0_19_19)) % 16.55/4.44 | % 16.55/4.44 | Instantiating (145) with all_29_0_40, all_29_1_41 yields: % 16.55/4.44 | (156) k2_zfmisc_1(all_0_19_19, all_0_19_19) = all_29_0_40 & u1_group_1(all_0_20_20) = all_29_1_41 & m2_relset_1(all_29_1_41, all_29_0_40, all_0_19_19) & v1_funct_2(all_29_1_41, all_29_0_40, all_0_19_19) & v1_funct_1(all_29_1_41) % 16.55/4.44 | % 16.55/4.44 | Applying alpha-rule on (156) yields: % 16.55/4.44 | (157) v1_funct_1(all_29_1_41) % 16.55/4.44 | (158) k2_zfmisc_1(all_0_19_19, all_0_19_19) = all_29_0_40 % 16.55/4.44 | (159) u1_group_1(all_0_20_20) = all_29_1_41 % 16.55/4.44 | (160) m2_relset_1(all_29_1_41, all_29_0_40, all_0_19_19) % 16.55/4.44 | (161) v1_funct_2(all_29_1_41, all_29_0_40, all_0_19_19) % 16.55/4.44 | % 16.55/4.44 | Instantiating (154) with all_31_0_42 yields: % 16.55/4.44 | (162) k4_autgroup(all_0_20_20) = all_31_0_42 & m1_fraenkel(all_31_0_42, all_0_19_19, all_0_19_19) % 16.55/4.44 | % 16.55/4.44 | Applying alpha-rule on (162) yields: % 16.55/4.44 | (163) k4_autgroup(all_0_20_20) = all_31_0_42 % 16.55/4.44 | (164) m1_fraenkel(all_31_0_42, all_0_19_19, all_0_19_19) % 16.55/4.44 | % 16.55/4.44 | Instantiating (152) with all_33_0_43, all_33_1_44, all_33_2_45 yields: % 16.55/4.44 | (165) k1_autgroup(all_0_20_20) = all_33_2_45 & k2_autgroup(all_0_20_20) = all_33_0_43 & k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_33_1_44 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_33_0_43, v0, v1) = v2) | ~ m2_relset_1(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_1(all_33_0_43) | ~ m2_fraenkel(v1, all_0_19_19, all_0_19_19, all_33_2_45) | ~ m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_33_2_45) | k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, v1, v0) = v2) | ~ m2_relset_1(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_1(all_33_0_43) | ~ m2_fraenkel(v1, all_0_19_19, all_0_19_19, all_33_2_45) | ~ m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_33_0_43, v0, v1) = v2) & ! [v0] : (v0 = all_33_0_43 | ~ m2_relset_1(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_2(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_1(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v0, v1, v2) = v3 & k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, v2, v1) = v4 & m2_fraenkel(v2, all_0_19_19, all_0_19_19, all_33_2_45) & m2_fraenkel(v1, all_0_19_19, all_0_19_19, all_33_2_45))) % 16.55/4.44 | % 16.55/4.44 | Applying alpha-rule on (165) yields: % 16.55/4.44 | (166) ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, v1, v0) = v2) | ~ m2_relset_1(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_1(all_33_0_43) | ~ m2_fraenkel(v1, all_0_19_19, all_0_19_19, all_33_2_45) | ~ m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_33_0_43, v0, v1) = v2) % 16.55/4.45 | (167) k1_autgroup(all_0_20_20) = all_33_2_45 % 16.55/4.45 | (168) k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_33_1_44 % 16.55/4.45 | (169) ! [v0] : (v0 = all_33_0_43 | ~ m2_relset_1(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_2(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_1(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v0, v1, v2) = v3 & k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, v2, v1) = v4 & m2_fraenkel(v2, all_0_19_19, all_0_19_19, all_33_2_45) & m2_fraenkel(v1, all_0_19_19, all_0_19_19, all_33_2_45))) % 16.55/4.45 | (170) k2_autgroup(all_0_20_20) = all_33_0_43 % 16.55/4.45 | (171) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_33_0_43, v0, v1) = v2) | ~ m2_relset_1(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_1(all_33_0_43) | ~ m2_fraenkel(v1, all_0_19_19, all_0_19_19, all_33_2_45) | ~ m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_33_2_45) | k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, v1, v0) = v2) % 16.55/4.45 | % 16.55/4.45 | Instantiating (153) with all_36_0_46, all_36_1_47 yields: % 16.55/4.45 | (172) k4_autgroup(all_0_20_20) = all_36_1_47 & k1_autgroup(all_0_20_20) = all_36_0_46 & ! [v0] : ( ~ m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_36_1_47) | m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_36_0_46)) % 16.55/4.45 | % 16.55/4.45 | Applying alpha-rule on (172) yields: % 16.55/4.45 | (173) k4_autgroup(all_0_20_20) = all_36_1_47 % 16.55/4.45 | (174) k1_autgroup(all_0_20_20) = all_36_0_46 % 16.55/4.45 | (175) ! [v0] : ( ~ m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_36_1_47) | m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_36_0_46)) % 16.55/4.45 | % 16.55/4.45 | Instantiating (151) with all_39_0_48, all_39_1_49 yields: % 16.55/4.45 | (176) k1_autgroup(all_0_20_20) = all_39_1_49 & k2_zfmisc_1(all_39_1_49, all_39_1_49) = all_39_0_48 & m2_relset_1(all_0_17_17, all_39_0_48, all_39_1_49) & v1_funct_2(all_0_17_17, all_39_0_48, all_39_1_49) % 16.55/4.45 | % 16.55/4.45 | Applying alpha-rule on (176) yields: % 16.55/4.45 | (177) k1_autgroup(all_0_20_20) = all_39_1_49 % 16.55/4.45 | (178) k2_zfmisc_1(all_39_1_49, all_39_1_49) = all_39_0_48 % 16.55/4.45 | (179) m2_relset_1(all_0_17_17, all_39_0_48, all_39_1_49) % 16.55/4.45 | (180) v1_funct_2(all_0_17_17, all_39_0_48, all_39_1_49) % 16.55/4.45 | % 16.55/4.45 | Instantiating (150) with all_41_0_50, all_41_1_51, all_41_2_52 yields: % 16.55/4.45 | (181) k1_autgroup(all_0_20_20) = all_41_2_52 & k2_zfmisc_1(all_41_2_52, all_41_2_52) = all_41_1_51 & u1_struct_0(all_0_20_20) = all_41_0_50 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_41_2_52, all_41_2_52, all_41_2_52, all_0_17_17, v0, v1) = v2) | ~ m2_relset_1(all_0_17_17, all_41_1_51, all_41_2_52) | ~ v1_funct_2(all_0_17_17, all_41_1_51, all_41_2_52) | ~ v1_funct_1(all_0_17_17) | ~ m2_fraenkel(v1, all_41_0_50, all_41_0_50, all_41_2_52) | ~ m2_fraenkel(v0, all_41_0_50, all_41_0_50, all_41_2_52) | k7_funct_2(all_41_0_50, all_41_0_50, all_41_0_50, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_funct_2(all_41_0_50, all_41_0_50, all_41_0_50, v1, v0) = v2) | ~ m2_relset_1(all_0_17_17, all_41_1_51, all_41_2_52) | ~ v1_funct_2(all_0_17_17, all_41_1_51, all_41_2_52) | ~ v1_funct_1(all_0_17_17) | ~ m2_fraenkel(v1, all_41_0_50, all_41_0_50, all_41_2_52) | ~ m2_fraenkel(v0, all_41_0_50, all_41_0_50, all_41_2_52) | k2_binop_1(all_41_2_52, all_41_2_52, all_41_2_52, all_0_17_17, v0, v1) = v2) & ! [v0] : (v0 = all_0_17_17 | ~ m2_relset_1(v0, all_41_1_51, all_41_2_52) | ~ v1_funct_2(v0, all_41_1_51, all_41_2_52) | ~ v1_funct_1(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & k2_binop_1(all_41_2_52, all_41_2_52, all_41_2_52, v0, v1, v2) = v3 & k7_funct_2(all_41_0_50, all_41_0_50, all_41_0_50, v2, v1) = v4 & m2_fraenkel(v2, all_41_0_50, all_41_0_50, all_41_2_52) & m2_fraenkel(v1, all_41_0_50, all_41_0_50, all_41_2_52))) % 16.55/4.45 | % 16.55/4.45 | Applying alpha-rule on (181) yields: % 16.55/4.45 | (182) u1_struct_0(all_0_20_20) = all_41_0_50 % 16.55/4.45 | (183) k2_zfmisc_1(all_41_2_52, all_41_2_52) = all_41_1_51 % 16.55/4.45 | (184) ! [v0] : (v0 = all_0_17_17 | ~ m2_relset_1(v0, all_41_1_51, all_41_2_52) | ~ v1_funct_2(v0, all_41_1_51, all_41_2_52) | ~ v1_funct_1(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & k2_binop_1(all_41_2_52, all_41_2_52, all_41_2_52, v0, v1, v2) = v3 & k7_funct_2(all_41_0_50, all_41_0_50, all_41_0_50, v2, v1) = v4 & m2_fraenkel(v2, all_41_0_50, all_41_0_50, all_41_2_52) & m2_fraenkel(v1, all_41_0_50, all_41_0_50, all_41_2_52))) % 16.55/4.45 | (185) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_41_2_52, all_41_2_52, all_41_2_52, all_0_17_17, v0, v1) = v2) | ~ m2_relset_1(all_0_17_17, all_41_1_51, all_41_2_52) | ~ v1_funct_2(all_0_17_17, all_41_1_51, all_41_2_52) | ~ v1_funct_1(all_0_17_17) | ~ m2_fraenkel(v1, all_41_0_50, all_41_0_50, all_41_2_52) | ~ m2_fraenkel(v0, all_41_0_50, all_41_0_50, all_41_2_52) | k7_funct_2(all_41_0_50, all_41_0_50, all_41_0_50, v1, v0) = v2) % 16.55/4.45 | (186) ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_funct_2(all_41_0_50, all_41_0_50, all_41_0_50, v1, v0) = v2) | ~ m2_relset_1(all_0_17_17, all_41_1_51, all_41_2_52) | ~ v1_funct_2(all_0_17_17, all_41_1_51, all_41_2_52) | ~ v1_funct_1(all_0_17_17) | ~ m2_fraenkel(v1, all_41_0_50, all_41_0_50, all_41_2_52) | ~ m2_fraenkel(v0, all_41_0_50, all_41_0_50, all_41_2_52) | k2_binop_1(all_41_2_52, all_41_2_52, all_41_2_52, all_0_17_17, v0, v1) = v2) % 16.55/4.45 | (187) k1_autgroup(all_0_20_20) = all_41_2_52 % 16.55/4.45 | % 16.55/4.45 | Instantiating (155) with all_44_0_53 yields: % 16.55/4.45 | (188) k1_autgroup(all_0_20_20) = all_44_0_53 & m1_fraenkel(all_44_0_53, all_0_19_19, all_0_19_19) % 16.55/4.45 | % 16.55/4.45 | Applying alpha-rule on (188) yields: % 16.55/4.45 | (189) k1_autgroup(all_0_20_20) = all_44_0_53 % 16.55/4.45 | (190) m1_fraenkel(all_44_0_53, all_0_19_19, all_0_19_19) % 16.55/4.45 | % 16.55/4.45 | Instantiating (148) with all_46_0_54 yields: % 16.55/4.45 | (191) u1_struct_0(all_0_20_20) = all_46_0_54 & m1_fraenkel(all_0_18_18, all_46_0_54, all_46_0_54) % 16.55/4.45 | % 16.55/4.45 | Applying alpha-rule on (191) yields: % 16.55/4.45 | (192) u1_struct_0(all_0_20_20) = all_46_0_54 % 16.55/4.45 | (193) m1_fraenkel(all_0_18_18, all_46_0_54, all_46_0_54) % 16.55/4.45 | % 16.55/4.45 | Instantiating (147) with all_48_0_55, all_48_1_56 yields: % 16.55/4.45 | (194) k1_autgroup(all_0_20_20) = all_48_0_55 & u1_struct_0(all_0_20_20) = all_48_1_56 & ! [v0] : ( ~ m2_fraenkel(v0, all_48_1_56, all_48_1_56, all_0_18_18) | m2_fraenkel(v0, all_48_1_56, all_48_1_56, all_48_0_55)) % 16.55/4.45 | % 16.55/4.45 | Applying alpha-rule on (194) yields: % 16.55/4.45 | (195) k1_autgroup(all_0_20_20) = all_48_0_55 % 16.55/4.45 | (196) u1_struct_0(all_0_20_20) = all_48_1_56 % 16.55/4.45 | (197) ! [v0] : ( ~ m2_fraenkel(v0, all_48_1_56, all_48_1_56, all_0_18_18) | m2_fraenkel(v0, all_48_1_56, all_48_1_56, all_48_0_55)) % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (140) with all_0_20_20, all_36_1_47, all_0_18_18 and discharging atoms k4_autgroup(all_0_20_20) = all_36_1_47, k4_autgroup(all_0_20_20) = all_0_18_18, yields: % 16.55/4.45 | (198) all_36_1_47 = all_0_18_18 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (140) with all_0_20_20, all_31_0_42, all_36_1_47 and discharging atoms k4_autgroup(all_0_20_20) = all_36_1_47, k4_autgroup(all_0_20_20) = all_31_0_42, yields: % 16.55/4.45 | (199) all_36_1_47 = all_31_0_42 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (78) with all_0_20_20, all_44_0_53, all_48_0_55 and discharging atoms k1_autgroup(all_0_20_20) = all_48_0_55, k1_autgroup(all_0_20_20) = all_44_0_53, yields: % 16.55/4.45 | (200) all_48_0_55 = all_44_0_53 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (78) with all_0_20_20, all_41_2_52, all_44_0_53 and discharging atoms k1_autgroup(all_0_20_20) = all_44_0_53, k1_autgroup(all_0_20_20) = all_41_2_52, yields: % 16.55/4.45 | (201) all_44_0_53 = all_41_2_52 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (78) with all_0_20_20, all_39_1_49, all_48_0_55 and discharging atoms k1_autgroup(all_0_20_20) = all_48_0_55, k1_autgroup(all_0_20_20) = all_39_1_49, yields: % 16.55/4.45 | (202) all_48_0_55 = all_39_1_49 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (78) with all_0_20_20, all_36_0_46, all_41_2_52 and discharging atoms k1_autgroup(all_0_20_20) = all_41_2_52, k1_autgroup(all_0_20_20) = all_36_0_46, yields: % 16.55/4.45 | (203) all_41_2_52 = all_36_0_46 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (78) with all_0_20_20, all_33_2_45, all_44_0_53 and discharging atoms k1_autgroup(all_0_20_20) = all_44_0_53, k1_autgroup(all_0_20_20) = all_33_2_45, yields: % 16.55/4.45 | (204) all_44_0_53 = all_33_2_45 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (90) with all_0_20_20, all_33_0_43, all_0_17_17 and discharging atoms k2_autgroup(all_0_20_20) = all_33_0_43, k2_autgroup(all_0_20_20) = all_0_17_17, yields: % 16.55/4.45 | (205) all_33_0_43 = all_0_17_17 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (5) with all_0_20_20, all_48_1_56, all_0_19_19 and discharging atoms u1_struct_0(all_0_20_20) = all_48_1_56, u1_struct_0(all_0_20_20) = all_0_19_19, yields: % 16.55/4.45 | (206) all_48_1_56 = all_0_19_19 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (5) with all_0_20_20, all_46_0_54, all_48_1_56 and discharging atoms u1_struct_0(all_0_20_20) = all_48_1_56, u1_struct_0(all_0_20_20) = all_46_0_54, yields: % 16.55/4.45 | (207) all_48_1_56 = all_46_0_54 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (5) with all_0_20_20, all_41_0_50, all_46_0_54 and discharging atoms u1_struct_0(all_0_20_20) = all_46_0_54, u1_struct_0(all_0_20_20) = all_41_0_50, yields: % 16.55/4.45 | (208) all_46_0_54 = all_41_0_50 % 16.55/4.45 | % 16.55/4.45 | Combining equations (200,202) yields a new equation: % 16.55/4.45 | (209) all_44_0_53 = all_39_1_49 % 16.55/4.45 | % 16.55/4.45 | Simplifying 209 yields: % 16.55/4.45 | (210) all_44_0_53 = all_39_1_49 % 16.55/4.45 | % 16.55/4.45 | Combining equations (207,206) yields a new equation: % 16.55/4.45 | (211) all_46_0_54 = all_0_19_19 % 16.55/4.45 | % 16.55/4.45 | Simplifying 211 yields: % 16.55/4.45 | (212) all_46_0_54 = all_0_19_19 % 16.55/4.45 | % 16.55/4.45 | Combining equations (212,208) yields a new equation: % 16.55/4.45 | (213) all_41_0_50 = all_0_19_19 % 16.55/4.45 | % 16.55/4.45 | Combining equations (201,210) yields a new equation: % 16.55/4.45 | (214) all_41_2_52 = all_39_1_49 % 16.55/4.45 | % 16.55/4.45 | Simplifying 214 yields: % 16.55/4.45 | (215) all_41_2_52 = all_39_1_49 % 16.55/4.45 | % 16.55/4.45 | Combining equations (204,210) yields a new equation: % 16.55/4.45 | (216) all_39_1_49 = all_33_2_45 % 16.55/4.45 | % 16.55/4.45 | Combining equations (215,203) yields a new equation: % 16.55/4.45 | (217) all_39_1_49 = all_36_0_46 % 16.55/4.45 | % 16.55/4.45 | Simplifying 217 yields: % 16.55/4.45 | (218) all_39_1_49 = all_36_0_46 % 16.55/4.45 | % 16.55/4.45 | Combining equations (216,218) yields a new equation: % 16.55/4.45 | (219) all_36_0_46 = all_33_2_45 % 16.55/4.45 | % 16.55/4.45 | Combining equations (198,199) yields a new equation: % 16.55/4.45 | (220) all_31_0_42 = all_0_18_18 % 16.55/4.45 | % 16.55/4.45 | Combining equations (220,199) yields a new equation: % 16.55/4.45 | (198) all_36_1_47 = all_0_18_18 % 16.55/4.45 | % 16.55/4.45 | Combining equations (219,218) yields a new equation: % 16.55/4.45 | (216) all_39_1_49 = all_33_2_45 % 16.55/4.45 | % 16.55/4.45 | Combining equations (219,203) yields a new equation: % 16.55/4.45 | (223) all_41_2_52 = all_33_2_45 % 16.55/4.45 | % 16.55/4.45 | Combining equations (216,210) yields a new equation: % 16.55/4.45 | (204) all_44_0_53 = all_33_2_45 % 16.55/4.45 | % 16.55/4.45 | Combining equations (213,208) yields a new equation: % 16.55/4.45 | (212) all_46_0_54 = all_0_19_19 % 16.55/4.45 | % 16.55/4.45 | From (219) and (174) follows: % 16.55/4.45 | (167) k1_autgroup(all_0_20_20) = all_33_2_45 % 16.55/4.45 | % 16.55/4.45 | From (205) and (170) follows: % 16.55/4.45 | (118) k2_autgroup(all_0_20_20) = all_0_17_17 % 16.55/4.45 | % 16.55/4.45 | From (223)(223) and (183) follows: % 16.55/4.45 | (228) k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_41_1_51 % 16.55/4.45 | % 16.55/4.45 | From (216)(216) and (178) follows: % 16.55/4.45 | (229) k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_39_0_48 % 16.55/4.45 | % 16.55/4.45 | From (213) and (182) follows: % 16.55/4.45 | (114) u1_struct_0(all_0_20_20) = all_0_19_19 % 16.55/4.45 | % 16.55/4.45 | From (204) and (190) follows: % 16.55/4.45 | (231) m1_fraenkel(all_33_2_45, all_0_19_19, all_0_19_19) % 16.55/4.45 | % 16.55/4.45 | From (212)(212) and (193) follows: % 16.55/4.45 | (232) m1_fraenkel(all_0_18_18, all_0_19_19, all_0_19_19) % 16.55/4.45 | % 16.55/4.45 | From (216) and (179) follows: % 16.55/4.45 | (233) m2_relset_1(all_0_17_17, all_39_0_48, all_33_2_45) % 16.55/4.45 | % 16.55/4.45 | From (216) and (180) follows: % 16.55/4.45 | (234) v1_funct_2(all_0_17_17, all_39_0_48, all_33_2_45) % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (7) with all_33_2_45, all_33_2_45, all_41_1_51, all_33_1_44 and discharging atoms k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_41_1_51, k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_33_1_44, yields: % 16.55/4.45 | (235) all_41_1_51 = all_33_1_44 % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (7) with all_33_2_45, all_33_2_45, all_39_0_48, all_41_1_51 and discharging atoms k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_41_1_51, k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_39_0_48, yields: % 16.55/4.45 | (236) all_41_1_51 = all_39_0_48 % 16.55/4.45 | % 16.55/4.45 | Combining equations (235,236) yields a new equation: % 16.55/4.45 | (237) all_39_0_48 = all_33_1_44 % 16.55/4.45 | % 16.55/4.45 | Combining equations (237,236) yields a new equation: % 16.55/4.45 | (235) all_41_1_51 = all_33_1_44 % 16.55/4.45 | % 16.55/4.45 | From (237) and (229) follows: % 16.55/4.45 | (168) k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_33_1_44 % 16.55/4.45 | % 16.55/4.45 | From (237) and (233) follows: % 16.55/4.45 | (240) m2_relset_1(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.45 | % 16.55/4.45 | From (237) and (234) follows: % 16.55/4.45 | (241) v1_funct_2(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.45 | % 16.55/4.45 | Instantiating formula (82) with all_33_2_45, all_0_20_20 and discharging atoms k1_autgroup(all_0_20_20) = all_33_2_45, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.45 | (242) ? [v0] : ? [v1] : ? [v2] : (k2_autgroup(all_0_20_20) = v1 & k2_zfmisc_1(all_33_2_45, all_33_2_45) = v0 & u1_struct_0(all_0_20_20) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v1, v3, v4) = v5) | ~ m2_relset_1(v1, v0, all_33_2_45) | ~ v1_funct_2(v1, v0, all_33_2_45) | ~ v1_funct_1(v1) | ~ m2_fraenkel(v4, v2, v2, all_33_2_45) | ~ m2_fraenkel(v3, v2, v2, all_33_2_45) | k7_funct_2(v2, v2, v2, v4, v3) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k7_funct_2(v2, v2, v2, v4, v3) = v5) | ~ m2_relset_1(v1, v0, all_33_2_45) | ~ v1_funct_2(v1, v0, all_33_2_45) | ~ v1_funct_1(v1) | ~ m2_fraenkel(v4, v2, v2, all_33_2_45) | ~ m2_fraenkel(v3, v2, v2, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v1, v3, v4) = v5) & ! [v3] : (v3 = v1 | ~ m2_relset_1(v3, v0, all_33_2_45) | ~ v1_funct_2(v3, v0, all_33_2_45) | ~ v1_funct_1(v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v3, v4, v5) = v6 & k7_funct_2(v2, v2, v2, v5, v4) = v7 & m2_fraenkel(v5, v2, v2, all_33_2_45) & m2_fraenkel(v4, v2, v2, all_33_2_45)))) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (14) with all_33_2_45, all_0_20_20 and discharging atoms k1_autgroup(all_0_20_20) = all_33_2_45, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.46 | (243) ? [v0] : ? [v1] : (k4_autgroup(all_0_20_20) = v1 & u1_struct_0(all_0_20_20) = v0 & ! [v2] : ( ~ m2_fraenkel(v2, v0, v0, v1) | m2_fraenkel(v2, v0, v0, all_33_2_45))) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (144) with all_33_1_44, all_33_2_45, all_0_20_20 and discharging atoms k1_autgroup(all_0_20_20) = all_33_2_45, k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_33_1_44, l1_group_1(all_0_20_20), v4_group_1(all_0_20_20), v3_group_1(all_0_20_20), v1_group_1(all_0_20_20), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.46 | (244) ? [v0] : ? [v1] : (k2_autgroup(all_0_20_20) = v0 & u1_struct_0(all_0_20_20) = v1 & ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v0, v2, v3) = v4) | ~ m2_relset_1(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_2(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_1(v0) | ~ m2_fraenkel(v3, v1, v1, all_33_2_45) | ~ m2_fraenkel(v2, v1, v1, all_33_2_45) | k7_funct_2(v1, v1, v1, v3, v2) = v4) & ! [v2] : ! [v3] : ! [v4] : ( ~ (k7_funct_2(v1, v1, v1, v3, v2) = v4) | ~ m2_relset_1(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_2(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_1(v0) | ~ m2_fraenkel(v3, v1, v1, all_33_2_45) | ~ m2_fraenkel(v2, v1, v1, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v0, v2, v3) = v4) & ! [v2] : (v2 = v0 | ~ m2_relset_1(v2, all_33_1_44, all_33_2_45) | ~ v1_funct_2(v2, all_33_1_44, all_33_2_45) | ~ v1_funct_1(v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v2, v3, v4) = v5 & k7_funct_2(v1, v1, v1, v4, v3) = v6 & m2_fraenkel(v4, v1, v1, all_33_2_45) & m2_fraenkel(v3, v1, v1, all_33_2_45)))) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (133) with all_33_2_45, all_0_19_19, all_0_19_19 and discharging atoms m1_fraenkel(all_33_2_45, all_0_19_19, all_0_19_19), yields: % 16.55/4.46 | (245) v1_xboole_0(all_0_19_19) | ? [v0] : m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_33_2_45) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (4) with all_0_15_15, all_0_18_18, all_0_19_19, all_0_19_19 and discharging atoms m1_fraenkel(all_0_18_18, all_0_19_19, all_0_19_19), m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_0_18_18), yields: % 16.55/4.46 | (246) m2_relset_1(all_0_15_15, all_0_19_19, all_0_19_19) | v1_xboole_0(all_0_19_19) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (125) with all_0_15_15, all_0_18_18, all_0_19_19, all_0_19_19 and discharging atoms m1_fraenkel(all_0_18_18, all_0_19_19, all_0_19_19), m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_0_18_18), yields: % 16.55/4.46 | (247) v1_xboole_0(all_0_19_19) | m1_subset_1(all_0_15_15, all_0_18_18) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (4) with all_0_16_16, all_0_18_18, all_0_19_19, all_0_19_19 and discharging atoms m1_fraenkel(all_0_18_18, all_0_19_19, all_0_19_19), m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_0_18_18), yields: % 16.55/4.46 | (248) m2_relset_1(all_0_16_16, all_0_19_19, all_0_19_19) | v1_xboole_0(all_0_19_19) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (125) with all_0_16_16, all_0_18_18, all_0_19_19, all_0_19_19 and discharging atoms m1_fraenkel(all_0_18_18, all_0_19_19, all_0_19_19), m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_0_18_18), yields: % 16.55/4.46 | (249) v1_xboole_0(all_0_19_19) | m1_subset_1(all_0_16_16, all_0_18_18) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (133) with all_0_18_18, all_0_19_19, all_0_19_19 and discharging atoms m1_fraenkel(all_0_18_18, all_0_19_19, all_0_19_19), yields: % 16.55/4.46 | (250) v1_xboole_0(all_0_19_19) | ? [v0] : m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_0_18_18) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (63) with all_29_1_41, all_0_19_19, all_29_0_40 and discharging atoms m2_relset_1(all_29_1_41, all_29_0_40, all_0_19_19), yields: % 16.55/4.46 | (251) m1_relset_1(all_29_1_41, all_29_0_40, all_0_19_19) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (63) with all_0_17_17, all_33_2_45, all_33_1_44 and discharging atoms m2_relset_1(all_0_17_17, all_33_1_44, all_33_2_45), yields: % 16.55/4.46 | (252) m1_relset_1(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.46 | % 16.55/4.46 | Instantiating (244) with all_67_0_59, all_67_1_60 yields: % 16.55/4.46 | (253) k2_autgroup(all_0_20_20) = all_67_1_60 & u1_struct_0(all_0_20_20) = all_67_0_59 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_67_1_60, v0, v1) = v2) | ~ m2_relset_1(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_1(all_67_1_60) | ~ m2_fraenkel(v1, all_67_0_59, all_67_0_59, all_33_2_45) | ~ m2_fraenkel(v0, all_67_0_59, all_67_0_59, all_33_2_45) | k7_funct_2(all_67_0_59, all_67_0_59, all_67_0_59, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_funct_2(all_67_0_59, all_67_0_59, all_67_0_59, v1, v0) = v2) | ~ m2_relset_1(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_1(all_67_1_60) | ~ m2_fraenkel(v1, all_67_0_59, all_67_0_59, all_33_2_45) | ~ m2_fraenkel(v0, all_67_0_59, all_67_0_59, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_67_1_60, v0, v1) = v2) & ! [v0] : (v0 = all_67_1_60 | ~ m2_relset_1(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_2(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_1(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v0, v1, v2) = v3 & k7_funct_2(all_67_0_59, all_67_0_59, all_67_0_59, v2, v1) = v4 & m2_fraenkel(v2, all_67_0_59, all_67_0_59, all_33_2_45) & m2_fraenkel(v1, all_67_0_59, all_67_0_59, all_33_2_45))) % 16.55/4.46 | % 16.55/4.46 | Applying alpha-rule on (253) yields: % 16.55/4.46 | (254) ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_funct_2(all_67_0_59, all_67_0_59, all_67_0_59, v1, v0) = v2) | ~ m2_relset_1(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_1(all_67_1_60) | ~ m2_fraenkel(v1, all_67_0_59, all_67_0_59, all_33_2_45) | ~ m2_fraenkel(v0, all_67_0_59, all_67_0_59, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_67_1_60, v0, v1) = v2) % 16.55/4.46 | (255) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_67_1_60, v0, v1) = v2) | ~ m2_relset_1(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_1(all_67_1_60) | ~ m2_fraenkel(v1, all_67_0_59, all_67_0_59, all_33_2_45) | ~ m2_fraenkel(v0, all_67_0_59, all_67_0_59, all_33_2_45) | k7_funct_2(all_67_0_59, all_67_0_59, all_67_0_59, v1, v0) = v2) % 16.55/4.46 | (256) k2_autgroup(all_0_20_20) = all_67_1_60 % 16.55/4.46 | (257) u1_struct_0(all_0_20_20) = all_67_0_59 % 16.55/4.46 | (258) ! [v0] : (v0 = all_67_1_60 | ~ m2_relset_1(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_2(v0, all_33_1_44, all_33_2_45) | ~ v1_funct_1(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v0, v1, v2) = v3 & k7_funct_2(all_67_0_59, all_67_0_59, all_67_0_59, v2, v1) = v4 & m2_fraenkel(v2, all_67_0_59, all_67_0_59, all_33_2_45) & m2_fraenkel(v1, all_67_0_59, all_67_0_59, all_33_2_45))) % 16.55/4.46 | % 16.55/4.46 | Instantiating (243) with all_70_0_61, all_70_1_62 yields: % 16.55/4.46 | (259) k4_autgroup(all_0_20_20) = all_70_0_61 & u1_struct_0(all_0_20_20) = all_70_1_62 & ! [v0] : ( ~ m2_fraenkel(v0, all_70_1_62, all_70_1_62, all_70_0_61) | m2_fraenkel(v0, all_70_1_62, all_70_1_62, all_33_2_45)) % 16.55/4.46 | % 16.55/4.46 | Applying alpha-rule on (259) yields: % 16.55/4.46 | (260) k4_autgroup(all_0_20_20) = all_70_0_61 % 16.55/4.46 | (261) u1_struct_0(all_0_20_20) = all_70_1_62 % 16.55/4.46 | (262) ! [v0] : ( ~ m2_fraenkel(v0, all_70_1_62, all_70_1_62, all_70_0_61) | m2_fraenkel(v0, all_70_1_62, all_70_1_62, all_33_2_45)) % 16.55/4.46 | % 16.55/4.46 | Instantiating (242) with all_73_0_63, all_73_1_64, all_73_2_65 yields: % 16.55/4.46 | (263) k2_autgroup(all_0_20_20) = all_73_1_64 & k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_73_2_65 & u1_struct_0(all_0_20_20) = all_73_0_63 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, v0, v1) = v2) | ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_2(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_1(all_73_1_64) | ~ m2_fraenkel(v1, all_73_0_63, all_73_0_63, all_33_2_45) | ~ m2_fraenkel(v0, all_73_0_63, all_73_0_63, all_33_2_45) | k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, v1, v0) = v2) | ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_2(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_1(all_73_1_64) | ~ m2_fraenkel(v1, all_73_0_63, all_73_0_63, all_33_2_45) | ~ m2_fraenkel(v0, all_73_0_63, all_73_0_63, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, v0, v1) = v2) & ! [v0] : (v0 = all_73_1_64 | ~ m2_relset_1(v0, all_73_2_65, all_33_2_45) | ~ v1_funct_2(v0, all_73_2_65, all_33_2_45) | ~ v1_funct_1(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v0, v1, v2) = v3 & k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, v2, v1) = v4 & m2_fraenkel(v2, all_73_0_63, all_73_0_63, all_33_2_45) & m2_fraenkel(v1, all_73_0_63, all_73_0_63, all_33_2_45))) % 16.55/4.46 | % 16.55/4.46 | Applying alpha-rule on (263) yields: % 16.55/4.46 | (264) k2_autgroup(all_0_20_20) = all_73_1_64 % 16.55/4.46 | (265) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, v0, v1) = v2) | ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_2(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_1(all_73_1_64) | ~ m2_fraenkel(v1, all_73_0_63, all_73_0_63, all_33_2_45) | ~ m2_fraenkel(v0, all_73_0_63, all_73_0_63, all_33_2_45) | k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, v1, v0) = v2) % 16.55/4.46 | (266) ! [v0] : (v0 = all_73_1_64 | ~ m2_relset_1(v0, all_73_2_65, all_33_2_45) | ~ v1_funct_2(v0, all_73_2_65, all_33_2_45) | ~ v1_funct_1(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, v0, v1, v2) = v3 & k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, v2, v1) = v4 & m2_fraenkel(v2, all_73_0_63, all_73_0_63, all_33_2_45) & m2_fraenkel(v1, all_73_0_63, all_73_0_63, all_33_2_45))) % 16.55/4.46 | (267) ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, v1, v0) = v2) | ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_2(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_1(all_73_1_64) | ~ m2_fraenkel(v1, all_73_0_63, all_73_0_63, all_33_2_45) | ~ m2_fraenkel(v0, all_73_0_63, all_73_0_63, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, v0, v1) = v2) % 16.55/4.46 | (268) u1_struct_0(all_0_20_20) = all_73_0_63 % 16.55/4.46 | (269) k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_73_2_65 % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (90) with all_0_20_20, all_73_1_64, all_0_17_17 and discharging atoms k2_autgroup(all_0_20_20) = all_73_1_64, k2_autgroup(all_0_20_20) = all_0_17_17, yields: % 16.55/4.46 | (270) all_73_1_64 = all_0_17_17 % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (90) with all_0_20_20, all_67_1_60, all_73_1_64 and discharging atoms k2_autgroup(all_0_20_20) = all_73_1_64, k2_autgroup(all_0_20_20) = all_67_1_60, yields: % 16.55/4.46 | (271) all_73_1_64 = all_67_1_60 % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (7) with all_33_2_45, all_33_2_45, all_73_2_65, all_33_1_44 and discharging atoms k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_73_2_65, k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_33_1_44, yields: % 16.55/4.46 | (272) all_73_2_65 = all_33_1_44 % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (5) with all_0_20_20, all_70_1_62, all_0_19_19 and discharging atoms u1_struct_0(all_0_20_20) = all_70_1_62, u1_struct_0(all_0_20_20) = all_0_19_19, yields: % 16.55/4.46 | (273) all_70_1_62 = all_0_19_19 % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (5) with all_0_20_20, all_70_1_62, all_73_0_63 and discharging atoms u1_struct_0(all_0_20_20) = all_73_0_63, u1_struct_0(all_0_20_20) = all_70_1_62, yields: % 16.55/4.46 | (274) all_73_0_63 = all_70_1_62 % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (5) with all_0_20_20, all_67_0_59, all_73_0_63 and discharging atoms u1_struct_0(all_0_20_20) = all_73_0_63, u1_struct_0(all_0_20_20) = all_67_0_59, yields: % 16.55/4.46 | (275) all_73_0_63 = all_67_0_59 % 16.55/4.46 | % 16.55/4.46 | Combining equations (274,275) yields a new equation: % 16.55/4.46 | (276) all_70_1_62 = all_67_0_59 % 16.55/4.46 | % 16.55/4.46 | Simplifying 276 yields: % 16.55/4.46 | (277) all_70_1_62 = all_67_0_59 % 16.55/4.46 | % 16.55/4.46 | Combining equations (270,271) yields a new equation: % 16.55/4.46 | (278) all_67_1_60 = all_0_17_17 % 16.55/4.46 | % 16.55/4.46 | Combining equations (273,277) yields a new equation: % 16.55/4.46 | (279) all_67_0_59 = all_0_19_19 % 16.55/4.46 | % 16.55/4.46 | Combining equations (278,271) yields a new equation: % 16.55/4.46 | (270) all_73_1_64 = all_0_17_17 % 16.55/4.46 | % 16.55/4.46 | Combining equations (279,275) yields a new equation: % 16.55/4.46 | (281) all_73_0_63 = all_0_19_19 % 16.55/4.46 | % 16.55/4.46 | From (272) and (269) follows: % 16.55/4.46 | (168) k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_33_1_44 % 16.55/4.46 | % 16.55/4.46 | From (279) and (257) follows: % 16.55/4.46 | (114) u1_struct_0(all_0_20_20) = all_0_19_19 % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (135) with all_29_1_41, all_0_19_19, all_29_0_40 and discharging atoms v1_funct_2(all_29_1_41, all_29_0_40, all_0_19_19), m1_relset_1(all_29_1_41, all_29_0_40, all_0_19_19), v1_funct_1(all_29_1_41), yields: % 16.55/4.46 | (284) v1_partfun1(all_29_1_41, all_29_0_40, all_0_19_19) | v1_xboole_0(all_0_19_19) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (135) with all_0_17_17, all_33_2_45, all_33_1_44 and discharging atoms v1_funct_2(all_0_17_17, all_33_1_44, all_33_2_45), m1_relset_1(all_0_17_17, all_33_1_44, all_33_2_45), v1_funct_1(all_0_17_17), yields: % 16.55/4.46 | (285) v1_partfun1(all_0_17_17, all_33_1_44, all_33_2_45) | v1_xboole_0(all_33_2_45) % 16.55/4.46 | % 16.55/4.46 +-Applying beta-rule and splitting (248), into two cases. % 16.55/4.46 |-Branch one: % 16.55/4.46 | (286) v1_xboole_0(all_0_19_19) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (18) with all_0_19_19 and discharging atoms v1_xboole_0(all_0_19_19), yields: % 16.55/4.46 | (287) all_0_19_19 = k1_xboole_0 % 16.55/4.46 | % 16.55/4.46 | From (287) and (114) follows: % 16.55/4.46 | (288) u1_struct_0(all_0_20_20) = k1_xboole_0 % 16.55/4.46 | % 16.55/4.46 | From (287) and (286) follows: % 16.55/4.46 | (136) v1_xboole_0(k1_xboole_0) % 16.55/4.46 | % 16.55/4.46 | Instantiating formula (93) with k1_xboole_0, all_0_20_20 and discharging atoms u1_struct_0(all_0_20_20) = k1_xboole_0, l1_struct_0(all_0_20_20), v1_xboole_0(k1_xboole_0), ~ v3_struct_0(all_0_20_20), yields: % 16.55/4.46 | (290) $false % 16.55/4.46 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (291) ~ v1_xboole_0(all_0_19_19) % 16.55/4.47 | (292) m2_relset_1(all_0_16_16, all_0_19_19, all_0_19_19) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (249), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (286) v1_xboole_0(all_0_19_19) % 16.55/4.47 | % 16.55/4.47 | Using (286) and (291) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (291) ~ v1_xboole_0(all_0_19_19) % 16.55/4.47 | (296) m1_subset_1(all_0_16_16, all_0_18_18) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (247), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (286) v1_xboole_0(all_0_19_19) % 16.55/4.47 | % 16.55/4.47 | Using (286) and (291) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (291) ~ v1_xboole_0(all_0_19_19) % 16.55/4.47 | (300) m1_subset_1(all_0_15_15, all_0_18_18) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (246), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (286) v1_xboole_0(all_0_19_19) % 16.55/4.47 | % 16.55/4.47 | Using (286) and (291) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (291) ~ v1_xboole_0(all_0_19_19) % 16.55/4.47 | (304) m2_relset_1(all_0_15_15, all_0_19_19, all_0_19_19) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (250), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (286) v1_xboole_0(all_0_19_19) % 16.55/4.47 | % 16.55/4.47 | Using (286) and (291) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (291) ~ v1_xboole_0(all_0_19_19) % 16.55/4.47 | (308) ? [v0] : m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_0_18_18) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (284), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (286) v1_xboole_0(all_0_19_19) % 16.55/4.47 | % 16.55/4.47 | Using (286) and (291) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (291) ~ v1_xboole_0(all_0_19_19) % 16.55/4.47 | (312) v1_partfun1(all_29_1_41, all_29_0_40, all_0_19_19) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (245), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (286) v1_xboole_0(all_0_19_19) % 16.55/4.47 | % 16.55/4.47 | Using (286) and (291) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (291) ~ v1_xboole_0(all_0_19_19) % 16.55/4.47 | (316) ? [v0] : m2_fraenkel(v0, all_0_19_19, all_0_19_19, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (285), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (317) v1_xboole_0(all_33_2_45) % 16.55/4.47 | % 16.55/4.47 | Instantiating formula (123) with all_33_2_45, all_0_19_19, all_0_19_19 and discharging atoms m1_fraenkel(all_33_2_45, all_0_19_19, all_0_19_19), v1_xboole_0(all_33_2_45), yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (319) ~ v1_xboole_0(all_33_2_45) % 16.55/4.47 | (320) v1_partfun1(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 | Instantiating formula (175) with all_0_15_15 yields: % 16.55/4.47 | (321) ~ m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_36_1_47) | m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_36_0_46) % 16.55/4.47 | % 16.55/4.47 | Instantiating formula (267) with all_0_13_13, all_0_15_15, all_0_16_16 yields: % 16.55/4.47 | (322) ~ (k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, all_0_15_15, all_0_16_16) = all_0_13_13) | ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_2(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_1(all_73_1_64) | ~ m2_fraenkel(all_0_15_15, all_73_0_63, all_73_0_63, all_33_2_45) | ~ m2_fraenkel(all_0_16_16, all_73_0_63, all_73_0_63, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.47 | % 16.55/4.47 | Instantiating formula (254) with all_0_13_13, all_0_15_15, all_0_16_16 yields: % 16.55/4.47 | (323) ~ (k7_funct_2(all_67_0_59, all_67_0_59, all_67_0_59, all_0_15_15, all_0_16_16) = all_0_13_13) | ~ m2_relset_1(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_1(all_67_1_60) | ~ m2_fraenkel(all_0_15_15, all_67_0_59, all_67_0_59, all_33_2_45) | ~ m2_fraenkel(all_0_16_16, all_67_0_59, all_67_0_59, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_67_1_60, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.47 | % 16.55/4.47 | Instantiating formula (166) with all_0_13_13, all_0_15_15, all_0_16_16 and discharging atoms k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, all_0_15_15, all_0_16_16) = all_0_13_13, yields: % 16.55/4.47 | (324) ~ m2_relset_1(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_1(all_33_0_43) | ~ m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_33_2_45) | ~ m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_33_0_43, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.47 | % 16.55/4.47 | Instantiating formula (186) with all_0_13_13, all_0_15_15, all_0_16_16 and discharging atoms v1_funct_1(all_0_17_17), yields: % 16.55/4.47 | (325) ~ (k7_funct_2(all_41_0_50, all_41_0_50, all_41_0_50, all_0_15_15, all_0_16_16) = all_0_13_13) | ~ m2_relset_1(all_0_17_17, all_41_1_51, all_41_2_52) | ~ v1_funct_2(all_0_17_17, all_41_1_51, all_41_2_52) | ~ m2_fraenkel(all_0_15_15, all_41_0_50, all_41_0_50, all_41_2_52) | ~ m2_fraenkel(all_0_16_16, all_41_0_50, all_41_0_50, all_41_2_52) | k2_binop_1(all_41_2_52, all_41_2_52, all_41_2_52, all_0_17_17, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.47 | % 16.55/4.47 | Instantiating formula (175) with all_0_16_16 yields: % 16.55/4.47 | (326) ~ m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_36_1_47) | m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_36_0_46) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (326), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (327) ~ m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_36_1_47) % 16.55/4.47 | % 16.55/4.47 | From (198) and (327) follows: % 16.55/4.47 | (328) ~ m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_0_18_18) % 16.55/4.47 | % 16.55/4.47 | Using (17) and (328) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (330) m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_36_1_47) % 16.55/4.47 | (331) m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_36_0_46) % 16.55/4.47 | % 16.55/4.47 | From (219) and (331) follows: % 16.55/4.47 | (332) m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (321), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (333) ~ m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_36_1_47) % 16.55/4.47 | % 16.55/4.47 | From (198) and (333) follows: % 16.55/4.47 | (334) ~ m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_0_18_18) % 16.55/4.47 | % 16.55/4.47 | Using (130) and (334) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (336) m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_36_1_47) % 16.55/4.47 | (337) m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_36_0_46) % 16.55/4.47 | % 16.55/4.47 | From (219) and (337) follows: % 16.55/4.47 | (338) m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (324), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (339) ~ v1_funct_1(all_33_0_43) % 16.55/4.47 | % 16.55/4.47 | From (205) and (339) follows: % 16.55/4.47 | (340) ~ v1_funct_1(all_0_17_17) % 16.55/4.47 | % 16.55/4.47 | Using (149) and (340) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (342) v1_funct_1(all_33_0_43) % 16.55/4.47 | (343) ~ m2_relset_1(all_33_0_43, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_33_0_43, all_33_1_44, all_33_2_45) | ~ m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_33_2_45) | ~ m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_33_0_43, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.47 | % 16.55/4.47 | From (205) and (342) follows: % 16.55/4.47 | (149) v1_funct_1(all_0_17_17) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (323), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (345) ~ v1_funct_1(all_67_1_60) % 16.55/4.47 | % 16.55/4.47 | From (278) and (345) follows: % 16.55/4.47 | (340) ~ v1_funct_1(all_0_17_17) % 16.55/4.47 | % 16.55/4.47 | Using (149) and (340) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (348) v1_funct_1(all_67_1_60) % 16.55/4.47 | (349) ~ (k7_funct_2(all_67_0_59, all_67_0_59, all_67_0_59, all_0_15_15, all_0_16_16) = all_0_13_13) | ~ m2_relset_1(all_67_1_60, all_33_1_44, all_33_2_45) | ~ v1_funct_2(all_67_1_60, all_33_1_44, all_33_2_45) | ~ m2_fraenkel(all_0_15_15, all_67_0_59, all_67_0_59, all_33_2_45) | ~ m2_fraenkel(all_0_16_16, all_67_0_59, all_67_0_59, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_67_1_60, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.47 | % 16.55/4.47 | From (278) and (348) follows: % 16.55/4.47 | (149) v1_funct_1(all_0_17_17) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (322), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (351) ~ v1_funct_1(all_73_1_64) % 16.55/4.47 | % 16.55/4.47 | From (270) and (351) follows: % 16.55/4.47 | (340) ~ v1_funct_1(all_0_17_17) % 16.55/4.47 | % 16.55/4.47 | Using (149) and (340) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (354) v1_funct_1(all_73_1_64) % 16.55/4.47 | (355) ~ (k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, all_0_15_15, all_0_16_16) = all_0_13_13) | ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) | ~ v1_funct_2(all_73_1_64, all_73_2_65, all_33_2_45) | ~ m2_fraenkel(all_0_15_15, all_73_0_63, all_73_0_63, all_33_2_45) | ~ m2_fraenkel(all_0_16_16, all_73_0_63, all_73_0_63, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.47 | % 16.55/4.47 | From (270) and (354) follows: % 16.55/4.47 | (149) v1_funct_1(all_0_17_17) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (325), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (357) ~ v1_funct_2(all_0_17_17, all_41_1_51, all_41_2_52) % 16.55/4.47 | % 16.55/4.47 | From (235)(223) and (357) follows: % 16.55/4.47 | (358) ~ v1_funct_2(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 | Using (241) and (358) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (360) v1_funct_2(all_0_17_17, all_41_1_51, all_41_2_52) % 16.55/4.47 | (361) ~ (k7_funct_2(all_41_0_50, all_41_0_50, all_41_0_50, all_0_15_15, all_0_16_16) = all_0_13_13) | ~ m2_relset_1(all_0_17_17, all_41_1_51, all_41_2_52) | ~ m2_fraenkel(all_0_15_15, all_41_0_50, all_41_0_50, all_41_2_52) | ~ m2_fraenkel(all_0_16_16, all_41_0_50, all_41_0_50, all_41_2_52) | k2_binop_1(all_41_2_52, all_41_2_52, all_41_2_52, all_0_17_17, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.47 | % 16.55/4.47 | From (235)(223) and (360) follows: % 16.55/4.47 | (241) v1_funct_2(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (355), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (363) ~ v1_funct_2(all_73_1_64, all_73_2_65, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 | From (270)(272) and (363) follows: % 16.55/4.47 | (358) ~ v1_funct_2(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 | Using (241) and (358) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (366) v1_funct_2(all_73_1_64, all_73_2_65, all_33_2_45) % 16.55/4.47 | (367) ~ (k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, all_0_15_15, all_0_16_16) = all_0_13_13) | ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) | ~ m2_fraenkel(all_0_15_15, all_73_0_63, all_73_0_63, all_33_2_45) | ~ m2_fraenkel(all_0_16_16, all_73_0_63, all_73_0_63, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.47 | % 16.55/4.47 | From (270)(272) and (366) follows: % 16.55/4.47 | (241) v1_funct_2(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 +-Applying beta-rule and splitting (367), into two cases. % 16.55/4.47 |-Branch one: % 16.55/4.47 | (369) ~ m2_fraenkel(all_0_15_15, all_73_0_63, all_73_0_63, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 | From (281)(281) and (369) follows: % 16.55/4.47 | (370) ~ m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_33_2_45) % 16.55/4.47 | % 16.55/4.47 | Using (338) and (370) yields: % 16.55/4.47 | (290) $false % 16.55/4.47 | % 16.55/4.47 |-The branch is then unsatisfiable % 16.55/4.47 |-Branch two: % 16.55/4.47 | (372) m2_fraenkel(all_0_15_15, all_73_0_63, all_73_0_63, all_33_2_45) % 16.55/4.47 | (373) ~ (k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, all_0_15_15, all_0_16_16) = all_0_13_13) | ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) | ~ m2_fraenkel(all_0_16_16, all_73_0_63, all_73_0_63, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.47 | % 16.55/4.47 | From (281)(281) and (372) follows: % 16.55/4.47 | (338) m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 +-Applying beta-rule and splitting (373), into two cases. % 16.55/4.48 |-Branch one: % 16.55/4.48 | (375) ~ m2_fraenkel(all_0_16_16, all_73_0_63, all_73_0_63, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | From (281)(281) and (375) follows: % 16.55/4.48 | (376) ~ m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | Using (332) and (376) yields: % 16.55/4.48 | (290) $false % 16.55/4.48 | % 16.55/4.48 |-The branch is then unsatisfiable % 16.55/4.48 |-Branch two: % 16.55/4.48 | (378) m2_fraenkel(all_0_16_16, all_73_0_63, all_73_0_63, all_33_2_45) % 16.55/4.48 | (379) ~ (k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, all_0_15_15, all_0_16_16) = all_0_13_13) | ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.48 | % 16.55/4.48 | From (281)(281) and (378) follows: % 16.55/4.48 | (332) m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 +-Applying beta-rule and splitting (379), into two cases. % 16.55/4.48 |-Branch one: % 16.55/4.48 | (381) ~ (k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, all_0_15_15, all_0_16_16) = all_0_13_13) % 16.55/4.48 | % 16.55/4.48 | From (281)(281)(281) and (381) follows: % 16.55/4.48 | (382) ~ (k7_funct_2(all_0_19_19, all_0_19_19, all_0_19_19, all_0_15_15, all_0_16_16) = all_0_13_13) % 16.55/4.48 | % 16.55/4.48 | Using (37) and (382) yields: % 16.55/4.48 | (290) $false % 16.55/4.48 | % 16.55/4.48 |-The branch is then unsatisfiable % 16.55/4.48 |-Branch two: % 16.55/4.48 | (384) k7_funct_2(all_73_0_63, all_73_0_63, all_73_0_63, all_0_15_15, all_0_16_16) = all_0_13_13 % 16.55/4.48 | (385) ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) | k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.48 | % 16.55/4.48 +-Applying beta-rule and splitting (385), into two cases. % 16.55/4.48 |-Branch one: % 16.55/4.48 | (386) ~ m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | From (270)(272) and (386) follows: % 16.55/4.48 | (387) ~ m2_relset_1(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | Using (240) and (387) yields: % 16.55/4.48 | (290) $false % 16.55/4.48 | % 16.55/4.48 |-The branch is then unsatisfiable % 16.55/4.48 |-Branch two: % 16.55/4.48 | (389) m2_relset_1(all_73_1_64, all_73_2_65, all_33_2_45) % 16.55/4.48 | (390) k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_73_1_64, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.48 | % 16.55/4.48 | From (270) and (390) follows: % 16.55/4.48 | (391) k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_0_17_17, all_0_16_16, all_0_15_15) = all_0_13_13 % 16.55/4.48 | % 16.55/4.48 | Instantiating formula (125) with all_0_15_15, all_33_2_45, all_0_19_19, all_0_19_19 and discharging atoms m1_fraenkel(all_33_2_45, all_0_19_19, all_0_19_19), m2_fraenkel(all_0_15_15, all_0_19_19, all_0_19_19, all_33_2_45), ~ v1_xboole_0(all_0_19_19), yields: % 16.55/4.48 | (392) m1_subset_1(all_0_15_15, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | Instantiating formula (125) with all_0_16_16, all_33_2_45, all_0_19_19, all_0_19_19 and discharging atoms m1_fraenkel(all_33_2_45, all_0_19_19, all_0_19_19), m2_fraenkel(all_0_16_16, all_0_19_19, all_0_19_19, all_33_2_45), ~ v1_xboole_0(all_0_19_19), yields: % 16.55/4.48 | (393) m1_subset_1(all_0_16_16, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | Instantiating formula (143) with all_0_13_13, all_0_15_15, all_0_16_16, all_0_17_17, all_33_2_45, all_33_2_45, all_33_2_45 and discharging atoms k2_binop_1(all_33_2_45, all_33_2_45, all_33_2_45, all_0_17_17, all_0_16_16, all_0_15_15) = all_0_13_13, v1_funct_1(all_0_17_17), m1_subset_1(all_0_15_15, all_33_2_45), m1_subset_1(all_0_16_16, all_33_2_45), ~ v1_xboole_0(all_33_2_45), yields: % 16.55/4.48 | (394) ? [v0] : ? [v1] : (k1_binop_1(all_0_17_17, all_0_16_16, all_0_15_15) = v1 & k2_zfmisc_1(all_33_2_45, all_33_2_45) = v0 & (v1 = all_0_13_13 | ~ v1_funct_2(all_0_17_17, v0, all_33_2_45) | ~ m1_relset_1(all_0_17_17, v0, all_33_2_45))) % 16.55/4.48 | % 16.55/4.48 | Instantiating (394) with all_373_0_73, all_373_1_74 yields: % 16.55/4.48 | (395) k1_binop_1(all_0_17_17, all_0_16_16, all_0_15_15) = all_373_0_73 & k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_373_1_74 & (all_373_0_73 = all_0_13_13 | ~ v1_funct_2(all_0_17_17, all_373_1_74, all_33_2_45) | ~ m1_relset_1(all_0_17_17, all_373_1_74, all_33_2_45)) % 16.55/4.48 | % 16.55/4.48 | Applying alpha-rule on (395) yields: % 16.55/4.48 | (396) k1_binop_1(all_0_17_17, all_0_16_16, all_0_15_15) = all_373_0_73 % 16.55/4.48 | (397) k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_373_1_74 % 16.55/4.48 | (398) all_373_0_73 = all_0_13_13 | ~ v1_funct_2(all_0_17_17, all_373_1_74, all_33_2_45) | ~ m1_relset_1(all_0_17_17, all_373_1_74, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | Instantiating formula (108) with all_0_17_17, all_0_16_16, all_0_15_15, all_373_0_73, all_0_14_14 and discharging atoms k1_binop_1(all_0_17_17, all_0_16_16, all_0_15_15) = all_373_0_73, k1_binop_1(all_0_17_17, all_0_16_16, all_0_15_15) = all_0_14_14, yields: % 16.55/4.48 | (399) all_373_0_73 = all_0_14_14 % 16.55/4.48 | % 16.55/4.48 | Instantiating formula (7) with all_33_2_45, all_33_2_45, all_373_1_74, all_33_1_44 and discharging atoms k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_373_1_74, k2_zfmisc_1(all_33_2_45, all_33_2_45) = all_33_1_44, yields: % 16.55/4.48 | (400) all_373_1_74 = all_33_1_44 % 16.55/4.48 | % 16.55/4.48 +-Applying beta-rule and splitting (398), into two cases. % 16.55/4.48 |-Branch one: % 16.55/4.48 | (401) ~ v1_funct_2(all_0_17_17, all_373_1_74, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | From (400) and (401) follows: % 16.55/4.48 | (358) ~ v1_funct_2(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | Using (241) and (358) yields: % 16.55/4.48 | (290) $false % 16.55/4.48 | % 16.55/4.48 |-The branch is then unsatisfiable % 16.55/4.48 |-Branch two: % 16.55/4.48 | (404) v1_funct_2(all_0_17_17, all_373_1_74, all_33_2_45) % 16.55/4.48 | (405) all_373_0_73 = all_0_13_13 | ~ m1_relset_1(all_0_17_17, all_373_1_74, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 +-Applying beta-rule and splitting (405), into two cases. % 16.55/4.48 |-Branch one: % 16.55/4.48 | (406) ~ m1_relset_1(all_0_17_17, all_373_1_74, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | From (400) and (406) follows: % 16.55/4.48 | (407) ~ m1_relset_1(all_0_17_17, all_33_1_44, all_33_2_45) % 16.55/4.48 | % 16.55/4.48 | Using (252) and (407) yields: % 16.55/4.48 | (290) $false % 16.55/4.48 | % 16.55/4.48 |-The branch is then unsatisfiable % 16.55/4.48 |-Branch two: % 16.55/4.48 | (409) m1_relset_1(all_0_17_17, all_373_1_74, all_33_2_45) % 16.55/4.48 | (410) all_373_0_73 = all_0_13_13 % 16.55/4.48 | % 16.55/4.48 | Combining equations (410,399) yields a new equation: % 16.55/4.48 | (411) all_0_13_13 = all_0_14_14 % 16.55/4.48 | % 16.55/4.48 | Simplifying 411 yields: % 16.55/4.48 | (412) all_0_13_13 = all_0_14_14 % 16.55/4.48 | % 16.55/4.48 | Equations (412) can reduce 89 to: % 16.55/4.48 | (413) $false % 16.55/4.48 | % 16.55/4.48 |-The branch is then unsatisfiable % 16.55/4.48 % SZS output end Proof for theBenchmark % 16.55/4.48 % 16.55/4.48 3865ms %------------------------------------------------------------------------------