%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : LAT327+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n032.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Sun Jul 17 04:33:06 EDT 2022 % Result : Theorem 2.90s 1.33s % Output : Proof 4.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : LAT327+1 : TPTP v8.1.0. Released v3.4.0. % 0.00/0.10 % Command : ePrincess-casc -timeout=%d %s % 0.09/0.29 % Computer : n032.cluster.edu % 0.09/0.29 % Model : x86_64 x86_64 % 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.29 % Memory : 8042.1875MB % 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.29 % CPULimit : 300 % 0.09/0.29 % WCLimit : 600 % 0.09/0.29 % DateTime : Wed Jun 29 09:13:28 EDT 2022 % 0.09/0.29 % CPUTime : % 0.13/0.49 ____ _ % 0.13/0.49 ___ / __ \_____(_)___ ________ __________ % 0.13/0.49 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.13/0.49 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.13/0.49 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.13/0.49 % 0.13/0.49 A Theorem Prover for First-Order Logic % 0.13/0.49 (ePrincess v.1.0) % 0.13/0.49 % 0.13/0.49 (c) Philipp Rümmer, 2009-2015 % 0.13/0.49 (c) Peter Backeman, 2014-2015 % 0.13/0.49 (contributions by Angelo Brillout, Peter Baumgartner) % 0.13/0.49 Free software under GNU Lesser General Public License (LGPL). % 0.13/0.49 Bug reports to peter@backeman.se % 0.13/0.49 % 0.13/0.49 For more information, visit http://user.uu.se/~petba168/breu/ % 0.13/0.49 % 0.13/0.49 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.13/0.54 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.38/0.83 Prover 0: Preprocessing ... % 1.97/1.07 Prover 0: Warning: ignoring some quantifiers % 1.97/1.10 Prover 0: Constructing countermodel ... % 2.90/1.33 Prover 0: proved (790ms) % 2.90/1.33 % 2.90/1.33 No countermodel exists, formula is valid % 2.90/1.33 % SZS status Theorem for theBenchmark % 2.90/1.33 % 2.90/1.33 Generating proof ... Warning: ignoring some quantifiers % 4.30/1.63 found it (size 14) % 4.30/1.63 % 4.30/1.63 % SZS output start Proof for theBenchmark % 4.30/1.63 Assumed formulas after preprocessing and simplification: % 4.30/1.63 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (k22_filter_2(v0, v2, v3) = v4 & u1_struct_0(v0) = v1 & l2_lattices(v9) & l1_lattices(v11) & l1_struct_0(v10) & l1_struct_0(v6) & v1_xboole_0(v8) & v1_xboole_0(k1_xboole_0) & r3_lattices(v0, v2, v3) & m1_subset_1(v3, v1) & m1_subset_1(v2, v1) & l3_lattices(v5) & l3_lattices(v0) & v10_lattices(v0) & ~ v1_xboole_0(v7) & ~ v3_struct_0(v6) & ~ v3_struct_0(v0) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k22_filter_2(v12, v14, v15) = v16) | ~ (u1_struct_0(v12) = v13) | ~ r2_hidden(v17, v16) | ~ r3_lattices(v12, v14, v15) | ~ m1_subset_1(v17, v13) | ~ m1_subset_1(v15, v13) | ~ m1_subset_1(v14, v13) | ~ l3_lattices(v12) | ~ v10_lattices(v12) | r3_lattices(v12, v17, v15) | v3_struct_0(v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k22_filter_2(v12, v14, v15) = v16) | ~ (u1_struct_0(v12) = v13) | ~ r2_hidden(v17, v16) | ~ r3_lattices(v12, v14, v15) | ~ m1_subset_1(v17, v13) | ~ m1_subset_1(v15, v13) | ~ m1_subset_1(v14, v13) | ~ l3_lattices(v12) | ~ v10_lattices(v12) | r3_lattices(v12, v14, v17) | v3_struct_0(v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k22_filter_2(v12, v14, v15) = v16) | ~ (u1_struct_0(v12) = v13) | ~ r3_lattices(v12, v17, v15) | ~ r3_lattices(v12, v14, v17) | ~ r3_lattices(v12, v14, v15) | ~ m1_subset_1(v17, v13) | ~ m1_subset_1(v15, v13) | ~ m1_subset_1(v14, v13) | ~ l3_lattices(v12) | ~ v10_lattices(v12) | r2_hidden(v17, v16) | v3_struct_0(v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | ~ (k22_filter_2(v16, v15, v14) = v13) | ~ (k22_filter_2(v16, v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k22_filter_2(v12, v13, v14) = v15) | ~ v1_xboole_0(v15) | ~ l3_lattices(v12) | ~ v10_lattices(v12) | v3_struct_0(v12) | ? [v16] : (u1_struct_0(v12) = v16 & ( ~ m1_subset_1(v14, v16) | ~ m1_subset_1(v13, v16)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k22_filter_2(v12, v13, v14) = v15) | ~ l3_lattices(v12) | ~ v10_lattices(v12) | m2_lattice4(v15, v12) | v3_struct_0(v12) | ? [v16] : (u1_struct_0(v12) = v16 & ( ~ m1_subset_1(v14, v16) | ~ m1_subset_1(v13, v16)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (u1_struct_0(v12) = v15) | ~ r1_lattices(v12, v13, v14) | ~ v9_lattices(v12) | ~ v8_lattices(v12) | ~ v6_lattices(v12) | ~ m1_subset_1(v14, v15) | ~ m1_subset_1(v13, v15) | ~ l3_lattices(v12) | r3_lattices(v12, v13, v14) | v3_struct_0(v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (u1_struct_0(v12) = v15) | ~ v9_lattices(v12) | ~ v8_lattices(v12) | ~ v6_lattices(v12) | ~ r3_lattices(v12, v13, v14) | ~ m1_subset_1(v14, v15) | ~ m1_subset_1(v13, v15) | ~ l3_lattices(v12) | r1_lattices(v12, v13, v14) | v3_struct_0(v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (u1_struct_0(v12) = v15) | ~ v9_lattices(v12) | ~ v8_lattices(v12) | ~ v6_lattices(v12) | ~ m1_subset_1(v14, v15) | ~ m1_subset_1(v13, v15) | ~ l3_lattices(v12) | r3_lattices(v12, v13, v13) | v3_struct_0(v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v1_xboole_0(v14) | ~ r2_hidden(v12, v13) | ~ m1_subset_1(v13, v15)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ r2_hidden(v12, v13) | ~ m1_subset_1(v13, v15) | m1_subset_1(v12, v14)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (u1_struct_0(v14) = v13) | ~ (u1_struct_0(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (k1_zfmisc_1(v14) = v13) | ~ (k1_zfmisc_1(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v13) = v14) | ~ r1_tarski(v12, v13) | m1_subset_1(v12, v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v13) = v14) | ~ m1_subset_1(v12, v14) | r1_tarski(v12, v13)) & ! [v12] : ! [v13] : (v13 = v12 | ~ v1_xboole_0(v13) | ~ v1_xboole_0(v12)) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_struct_0(v12) | ~ v1_xboole_0(v13) | v3_struct_0(v12)) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_struct_0(v12) | v3_struct_0(v12) | ? [v14] : ? [v15] : (k1_zfmisc_1(v13) = v14 & m1_subset_1(v15, v14) & ~ v1_xboole_0(v15))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l3_lattices(v12) | ~ v10_lattices(v12) | v3_struct_0(v12) | ? [v14] : (k1_zfmisc_1(v13) = v14 & ! [v15] : ( ~ m2_lattice4(v15, v12) | m1_subset_1(v15, v14)))) & ! [v12] : ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v1_xboole_0(v13)) & ! [v12] : ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) | v1_xboole_0(v12) | ? [v14] : (m1_subset_1(v14, v13) & ~ v1_xboole_0(v14))) & ! [v12] : ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) | ? [v14] : (v1_xboole_0(v14) & m1_subset_1(v14, v13))) & ! [v12] : ! [v13] : ( ~ v1_xboole_0(v13) | ~ r2_hidden(v12, v13)) & ! [v12] : ! [v13] : ( ~ r2_hidden(v13, v12) | ~ r2_hidden(v12, v13)) & ! [v12] : ! [v13] : ( ~ r2_hidden(v12, v13) | m1_subset_1(v12, v13)) & ! [v12] : ! [v13] : ( ~ m1_subset_1(v12, v13) | v1_xboole_0(v13) | r2_hidden(v12, v13)) & ! [v12] : (v12 = k1_xboole_0 | ~ v1_xboole_0(v12)) & ! [v12] : ( ~ v9_lattices(v12) | ~ v8_lattices(v12) | ~ v7_lattices(v12) | ~ v6_lattices(v12) | ~ v5_lattices(v12) | ~ v4_lattices(v12) | ~ l3_lattices(v12) | v10_lattices(v12) | v3_struct_0(v12)) & ! [v12] : ( ~ l2_lattices(v12) | l1_struct_0(v12)) & ! [v12] : ( ~ l1_lattices(v12) | l1_struct_0(v12)) & ! [v12] : ( ~ v1_xboole_0(v12) | v1_funct_1(v12)) & ! [v12] : ( ~ l3_lattices(v12) | ~ v10_lattices(v12) | v9_lattices(v12) | v3_struct_0(v12)) & ! [v12] : ( ~ l3_lattices(v12) | ~ v10_lattices(v12) | v8_lattices(v12) | v3_struct_0(v12)) & ! [v12] : ( ~ l3_lattices(v12) | ~ v10_lattices(v12) | v7_lattices(v12) | v3_struct_0(v12)) & ! [v12] : ( ~ l3_lattices(v12) | ~ v10_lattices(v12) | v6_lattices(v12) | v3_struct_0(v12)) & ! [v12] : ( ~ l3_lattices(v12) | ~ v10_lattices(v12) | v5_lattices(v12) | v3_struct_0(v12)) & ! [v12] : ( ~ l3_lattices(v12) | ~ v10_lattices(v12) | v4_lattices(v12) | v3_struct_0(v12)) & ! [v12] : ( ~ l3_lattices(v12) | ~ v10_lattices(v12) | v3_struct_0(v12) | ? [v13] : (m2_lattice4(v13, v12) & ~ v1_xboole_0(v13))) & ! [v12] : ( ~ l3_lattices(v12) | ~ v10_lattices(v12) | v3_struct_0(v12) | ? [v13] : m2_lattice4(v13, v12)) & ! [v12] : ( ~ l3_lattices(v12) | l2_lattices(v12)) & ! [v12] : ( ~ l3_lattices(v12) | l1_lattices(v12)) & ? [v12] : ? [v13] : m1_subset_1(v13, v12) & ? [v12] : r1_tarski(v12, v12) & ( ~ r2_hidden(v3, v4) | ~ r2_hidden(v2, v4))) % 4.70/1.68 | 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 yields: % 4.70/1.68 | (1) k22_filter_2(all_0_11_11, all_0_9_9, all_0_8_8) = all_0_7_7 & u1_struct_0(all_0_11_11) = all_0_10_10 & l2_lattices(all_0_2_2) & l1_lattices(all_0_0_0) & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_5_5) & v1_xboole_0(all_0_3_3) & v1_xboole_0(k1_xboole_0) & r3_lattices(all_0_11_11, all_0_9_9, all_0_8_8) & m1_subset_1(all_0_8_8, all_0_10_10) & m1_subset_1(all_0_9_9, all_0_10_10) & l3_lattices(all_0_6_6) & l3_lattices(all_0_11_11) & v10_lattices(all_0_11_11) & ~ v1_xboole_0(all_0_4_4) & ~ v3_struct_0(all_0_5_5) & ~ v3_struct_0(all_0_11_11) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k22_filter_2(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ r2_hidden(v5, v4) | ~ r3_lattices(v0, v2, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | r3_lattices(v0, v5, v3) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k22_filter_2(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ r2_hidden(v5, v4) | ~ r3_lattices(v0, v2, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | r3_lattices(v0, v2, v5) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k22_filter_2(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ r3_lattices(v0, v5, v3) | ~ r3_lattices(v0, v2, v5) | ~ r3_lattices(v0, v2, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | r2_hidden(v5, v4) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k22_filter_2(v4, v3, v2) = v1) | ~ (k22_filter_2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k22_filter_2(v0, v1, v2) = v3) | ~ v1_xboole_0(v3) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k22_filter_2(v0, v1, v2) = v3) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | m2_lattice4(v3, v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v3) | ~ r1_lattices(v0, v1, v2) | ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v6_lattices(v0) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l3_lattices(v0) | r3_lattices(v0, v1, v2) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v3) | ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v6_lattices(v0) | ~ r3_lattices(v0, v1, v2) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l3_lattices(v0) | r1_lattices(v0, v1, v2) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v3) | ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v6_lattices(v0) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l3_lattices(v0) | r3_lattices(v0, v1, v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (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] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ m2_lattice4(v3, v0) | m1_subset_1(v3, v2)))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1))) & ! [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] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) & ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v7_lattices(v0) | ~ v6_lattices(v0) | ~ v5_lattices(v0) | ~ v4_lattices(v0) | ~ l3_lattices(v0) | v10_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v1] : (m2_lattice4(v1, v0) & ~ v1_xboole_0(v1))) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v1] : m2_lattice4(v1, v0)) & ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0)) & ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0)) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0) & ( ~ r2_hidden(all_0_8_8, all_0_7_7) | ~ r2_hidden(all_0_9_9, all_0_7_7)) % 4.75/1.69 | % 4.75/1.69 | Applying alpha-rule on (1) yields: % 4.75/1.69 | (2) v1_xboole_0(k1_xboole_0) % 4.75/1.69 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v3) | ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v6_lattices(v0) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l3_lattices(v0) | r3_lattices(v0, v1, v1) | v3_struct_0(v0)) % 4.75/1.69 | (4) v1_xboole_0(all_0_3_3) % 4.75/1.69 | (5) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) % 4.75/1.69 | (6) ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0)) % 4.75/1.69 | (7) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) % 4.75/1.69 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) % 4.75/1.69 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) % 4.75/1.69 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k22_filter_2(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ r2_hidden(v5, v4) | ~ r3_lattices(v0, v2, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | r3_lattices(v0, v2, v5) | v3_struct_0(v0)) % 4.75/1.69 | (11) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2))) % 4.75/1.69 | (12) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v1] : (m2_lattice4(v1, v0) & ~ v1_xboole_0(v1))) % 4.75/1.70 | (13) ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0)) % 4.75/1.70 | (14) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0)) % 4.75/1.70 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 4.75/1.70 | (16) u1_struct_0(all_0_11_11) = all_0_10_10 % 4.75/1.70 | (17) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1)) % 4.75/1.70 | (18) ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0)) % 4.75/1.70 | (19) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) % 4.75/1.70 | (20) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) % 4.75/1.70 | (21) ~ v3_struct_0(all_0_5_5) % 4.75/1.70 | (22) m1_subset_1(all_0_8_8, all_0_10_10) % 4.75/1.70 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k22_filter_2(v0, v1, v2) = v3) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | m2_lattice4(v3, v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) % 4.75/1.70 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k22_filter_2(v0, v1, v2) = v3) | ~ v1_xboole_0(v3) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) % 4.75/1.70 | (25) ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0)) % 4.75/1.70 | (26) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) % 4.75/1.70 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k22_filter_2(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ r2_hidden(v5, v4) | ~ r3_lattices(v0, v2, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | r3_lattices(v0, v5, v3) | v3_struct_0(v0)) % 4.75/1.70 | (28) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1))) % 4.75/1.70 | (29) r3_lattices(all_0_11_11, all_0_9_9, all_0_8_8) % 4.75/1.70 | (30) ~ v3_struct_0(all_0_11_11) % 4.75/1.70 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) % 4.75/1.70 | (32) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0)) % 4.75/1.70 | (33) l3_lattices(all_0_11_11) % 4.75/1.70 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k22_filter_2(v4, v3, v2) = v1) | ~ (k22_filter_2(v4, v3, v2) = v0)) % 4.75/1.70 | (35) l2_lattices(all_0_2_2) % 4.75/1.70 | (36) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ m2_lattice4(v3, v0) | m1_subset_1(v3, v2)))) % 4.75/1.70 | (37) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) % 4.75/1.70 | (38) l1_lattices(all_0_0_0) % 4.75/1.70 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k22_filter_2(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ r3_lattices(v0, v5, v3) | ~ r3_lattices(v0, v2, v5) | ~ r3_lattices(v0, v2, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | r2_hidden(v5, v4) | v3_struct_0(v0)) % 4.75/1.70 | (40) l3_lattices(all_0_6_6) % 4.75/1.70 | (41) ~ r2_hidden(all_0_8_8, all_0_7_7) | ~ r2_hidden(all_0_9_9, all_0_7_7) % 4.75/1.70 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 4.75/1.70 | (43) m1_subset_1(all_0_9_9, all_0_10_10) % 4.75/1.70 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3)) % 4.75/1.70 | (45) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) % 4.75/1.71 | (46) l1_struct_0(all_0_5_5) % 4.75/1.71 | (47) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v1] : m2_lattice4(v1, v0)) % 4.75/1.71 | (48) l1_struct_0(all_0_1_1) % 4.75/1.71 | (49) ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0)) % 4.75/1.71 | (50) ? [v0] : r1_tarski(v0, v0) % 4.75/1.71 | (51) ? [v0] : ? [v1] : m1_subset_1(v1, v0) % 4.75/1.71 | (52) v10_lattices(all_0_11_11) % 4.75/1.71 | (53) ! [v0] : ( ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v7_lattices(v0) | ~ v6_lattices(v0) | ~ v5_lattices(v0) | ~ v4_lattices(v0) | ~ l3_lattices(v0) | v10_lattices(v0) | v3_struct_0(v0)) % 4.75/1.71 | (54) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) % 4.75/1.71 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v3) | ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v6_lattices(v0) | ~ r3_lattices(v0, v1, v2) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l3_lattices(v0) | r1_lattices(v0, v1, v2) | v3_struct_0(v0)) % 4.75/1.71 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v3) | ~ r1_lattices(v0, v1, v2) | ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v6_lattices(v0) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l3_lattices(v0) | r3_lattices(v0, v1, v2) | v3_struct_0(v0)) % 4.75/1.71 | (57) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) % 4.75/1.71 | (58) ~ v1_xboole_0(all_0_4_4) % 4.75/1.71 | (59) k22_filter_2(all_0_11_11, all_0_9_9, all_0_8_8) = all_0_7_7 % 4.75/1.71 | (60) ! [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))) % 4.75/1.71 | (61) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) % 4.75/1.71 | (62) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0)) % 4.88/1.71 | % 4.88/1.71 | Instantiating formula (14) with all_0_11_11 and discharging atoms l3_lattices(all_0_11_11), v10_lattices(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 4.88/1.71 | (63) v9_lattices(all_0_11_11) % 4.88/1.71 | % 4.88/1.71 | Instantiating formula (45) with all_0_11_11 and discharging atoms l3_lattices(all_0_11_11), v10_lattices(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 4.88/1.71 | (64) v8_lattices(all_0_11_11) % 4.88/1.71 | % 4.88/1.71 | Instantiating formula (19) with all_0_11_11 and discharging atoms l3_lattices(all_0_11_11), v10_lattices(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 4.88/1.71 | (65) v6_lattices(all_0_11_11) % 4.88/1.71 | % 4.88/1.71 | Instantiating formula (3) with all_0_10_10, all_0_9_9, all_0_8_8, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, v9_lattices(all_0_11_11), v8_lattices(all_0_11_11), v6_lattices(all_0_11_11), m1_subset_1(all_0_8_8, all_0_10_10), m1_subset_1(all_0_9_9, all_0_10_10), l3_lattices(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 4.88/1.71 | (66) r3_lattices(all_0_11_11, all_0_8_8, all_0_8_8) % 4.88/1.71 | % 4.88/1.71 | Instantiating formula (3) with all_0_10_10, all_0_9_9, all_0_9_9, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, v9_lattices(all_0_11_11), v8_lattices(all_0_11_11), v6_lattices(all_0_11_11), m1_subset_1(all_0_9_9, all_0_10_10), l3_lattices(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 4.88/1.71 | (67) r3_lattices(all_0_11_11, all_0_9_9, all_0_9_9) % 4.88/1.71 | % 4.88/1.71 | Instantiating formula (39) with all_0_8_8, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11 and discharging atoms k22_filter_2(all_0_11_11, all_0_9_9, all_0_8_8) = all_0_7_7, u1_struct_0(all_0_11_11) = all_0_10_10, r3_lattices(all_0_11_11, all_0_8_8, all_0_8_8), r3_lattices(all_0_11_11, all_0_9_9, all_0_8_8), m1_subset_1(all_0_8_8, all_0_10_10), m1_subset_1(all_0_9_9, all_0_10_10), l3_lattices(all_0_11_11), v10_lattices(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 4.88/1.72 | (68) r2_hidden(all_0_8_8, all_0_7_7) % 4.88/1.72 | % 4.88/1.72 | Instantiating formula (39) with all_0_9_9, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11 and discharging atoms k22_filter_2(all_0_11_11, all_0_9_9, all_0_8_8) = all_0_7_7, u1_struct_0(all_0_11_11) = all_0_10_10, r3_lattices(all_0_11_11, all_0_9_9, all_0_8_8), r3_lattices(all_0_11_11, all_0_9_9, all_0_9_9), m1_subset_1(all_0_8_8, all_0_10_10), m1_subset_1(all_0_9_9, all_0_10_10), l3_lattices(all_0_11_11), v10_lattices(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields: % 4.88/1.72 | (69) r2_hidden(all_0_9_9, all_0_7_7) % 4.88/1.72 | % 4.88/1.72 +-Applying beta-rule and splitting (41), into two cases. % 4.88/1.72 |-Branch one: % 4.88/1.72 | (70) ~ r2_hidden(all_0_8_8, all_0_7_7) % 4.88/1.72 | % 4.88/1.72 | Using (68) and (70) yields: % 4.88/1.72 | (71) $false % 4.88/1.72 | % 4.88/1.72 |-The branch is then unsatisfiable % 4.88/1.72 |-Branch two: % 4.88/1.72 | (68) r2_hidden(all_0_8_8, all_0_7_7) % 4.88/1.72 | (73) ~ r2_hidden(all_0_9_9, all_0_7_7) % 4.88/1.72 | % 4.88/1.72 | Using (69) and (73) yields: % 4.88/1.72 | (71) $false % 4.88/1.72 | % 4.88/1.72 |-The branch is then unsatisfiable % 4.88/1.72 % SZS output end Proof for theBenchmark % 4.88/1.72 % 4.88/1.72 1215ms %------------------------------------------------------------------------------