%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEU307+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n007.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 : Tue Jul 19 08:48:42 EDT 2022 % Result : Theorem 3.89s 1.51s % Output : Proof 6.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU307+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n007.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 : Sun Jun 19 10:35:14 EDT 2022 % 0.12/0.34 % CPUTime : % 0.48/0.58 ____ _ % 0.48/0.58 ___ / __ \_____(_)___ ________ __________ % 0.48/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.48/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.48/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.48/0.58 % 0.48/0.58 A Theorem Prover for First-Order Logic % 0.48/0.58 (ePrincess v.1.0) % 0.48/0.58 % 0.48/0.58 (c) Philipp Rümmer, 2009-2015 % 0.48/0.58 (c) Peter Backeman, 2014-2015 % 0.48/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.48/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.48/0.58 Bug reports to peter@backeman.se % 0.48/0.58 % 0.48/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.48/0.58 % 0.48/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.48/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.82/0.98 Prover 0: Preprocessing ... % 3.00/1.29 Prover 0: Warning: ignoring some quantifiers % 3.17/1.33 Prover 0: Constructing countermodel ... % 3.89/1.51 Prover 0: proved (874ms) % 3.89/1.51 % 3.89/1.51 No countermodel exists, formula is valid % 3.89/1.51 % SZS status Theorem for theBenchmark % 3.89/1.51 % 3.89/1.51 Generating proof ... Warning: ignoring some quantifiers % 5.65/1.92 found it (size 56) % 5.65/1.92 % 5.65/1.92 % SZS output start Proof for theBenchmark % 5.65/1.92 Assumed formulas after preprocessing and simplification: % 5.65/1.92 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v5 = v4) & the_carrier(v0) = v1 & cast_as_carrier_subset(v0) = v3 & subset_intersection2(v1, v4, v3) = v5 & powerset(v1) = v2 & one_sorted_str(v6) & one_sorted_str(v0) & element(v4, v2) & empty(empty_set) & v1_membered(v7) & v1_membered(empty_set) & v2_membered(v7) & v2_membered(empty_set) & v3_membered(v7) & v3_membered(empty_set) & v4_membered(v7) & v4_membered(empty_set) & v5_membered(v7) & v5_membered(empty_set) & ~ empty(v7) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (subset_intersection2(v12, v11, v10) = v9) | ~ (subset_intersection2(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (set_intersection2(v9, v10) = v12) | ~ (powerset(v8) = v11) | ~ element(v10, v11) | ~ element(v9, v11) | subset_intersection2(v8, v9, v10) = v12) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (set_intersection2(v11, v10) = v9) | ~ (set_intersection2(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (subset_intersection2(v8, v10, v9) = v11) | ? [v12] : ? [v13] : (subset_intersection2(v8, v9, v10) = v13 & powerset(v8) = v12 & (v13 = v11 | ~ element(v10, v12) | ~ element(v9, v12)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (subset_intersection2(v8, v9, v10) = v11) | ? [v12] : ? [v13] : (subset_intersection2(v8, v10, v9) = v13 & powerset(v8) = v12 & (v13 = v11 | ~ element(v10, v12) | ~ element(v9, v12)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (subset_intersection2(v8, v9, v10) = v11) | ? [v12] : ? [v13] : (set_intersection2(v9, v10) = v13 & powerset(v8) = v12 & (v13 = v11 | ~ element(v10, v12) | ~ element(v9, v12)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (subset_intersection2(v8, v9, v10) = v11) | ? [v12] : (powerset(v8) = v12 & ( ~ element(v10, v12) | ~ element(v9, v12) | element(v11, v12)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (powerset(v10) = v11) | ~ element(v9, v11) | ~ empty(v10) | ~ in(v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (powerset(v10) = v11) | ~ element(v9, v11) | ~ in(v8, v9) | element(v8, v10)) & ? [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (subset_intersection2(v9, v10, v10) = v11) | ? [v12] : (powerset(v9) = v12 & ( ~ element(v10, v12) | ~ element(v8, v12)))) & ! [v8] : ! [v9] : ! [v10] : (v10 = v8 | ~ (set_intersection2(v8, v9) = v10) | ~ subset(v8, v9)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (the_carrier(v10) = v9) | ~ (the_carrier(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (cast_as_carrier_subset(v10) = v9) | ~ (cast_as_carrier_subset(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (powerset(v10) = v9) | ~ (powerset(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v1_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v2_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v2_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v3_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v3_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v3_membered(v8) | v3_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v4_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v4_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v4_membered(v8) | v3_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v4_membered(v8) | v4_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v5_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v5_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v5_membered(v8) | v3_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v5_membered(v8) | v4_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | ~ v5_membered(v8) | v5_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v9, v8) = v10) | set_intersection2(v8, v9) = v10) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v1_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v2_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v2_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v3_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v3_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v3_membered(v8) | v3_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v4_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v4_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v4_membered(v8) | v3_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v4_membered(v8) | v4_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v5_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v5_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v5_membered(v8) | v3_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v5_membered(v8) | v4_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | ~ v5_membered(v8) | v5_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | set_intersection2(v9, v8) = v10) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v9) = v10) | ~ subset(v8, v9) | element(v8, v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v9) = v10) | ~ element(v8, v10) | subset(v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v1_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v2_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v2_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v3_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v3_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v3_membered(v8) | v3_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v4_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v4_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v4_membered(v8) | v3_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v4_membered(v8) | v4_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v5_membered(v8) | v1_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v5_membered(v8) | v2_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v5_membered(v8) | v3_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v5_membered(v8) | v4_membered(v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (powerset(v8) = v9) | ~ element(v10, v9) | ~ v5_membered(v8) | v5_membered(v10)) & ! [v8] : ! [v9] : (v9 = v8 | ~ (set_intersection2(v8, v8) = v9)) & ! [v8] : ! [v9] : (v9 = v8 | ~ empty(v9) | ~ empty(v8)) & ! [v8] : ! [v9] : (v9 = empty_set | ~ (set_intersection2(v8, empty_set) = v9)) & ! [v8] : ! [v9] : ( ~ (the_carrier(v8) = v9) | ~ one_sorted_str(v8) | cast_as_carrier_subset(v8) = v9) & ! [v8] : ! [v9] : ( ~ (the_carrier(v8) = v9) | ~ one_sorted_str(v8) | ? [v10] : ? [v11] : (cast_as_carrier_subset(v8) = v10 & powerset(v9) = v11 & element(v10, v11))) & ! [v8] : ! [v9] : ( ~ (cast_as_carrier_subset(v8) = v9) | ~ one_sorted_str(v8) | the_carrier(v8) = v9) & ! [v8] : ! [v9] : ( ~ (cast_as_carrier_subset(v8) = v9) | ~ one_sorted_str(v8) | ? [v10] : ? [v11] : (the_carrier(v8) = v10 & powerset(v10) = v11 & element(v9, v11))) & ! [v8] : ! [v9] : ( ~ (powerset(v8) = v9) | ~ empty(v9)) & ! [v8] : ! [v9] : ( ~ (powerset(v8) = v9) | empty(v8) | ? [v10] : (element(v10, v9) & ~ empty(v10))) & ! [v8] : ! [v9] : ( ~ (powerset(v8) = v9) | ? [v10] : (element(v10, v9) & empty(v10))) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v1_membered(v8) | v1_xcmplx_0(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v2_membered(v8) | v1_xreal_0(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v2_membered(v8) | v1_xcmplx_0(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v3_membered(v8) | v1_rat_1(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v3_membered(v8) | v1_xreal_0(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v3_membered(v8) | v1_xcmplx_0(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v4_membered(v8) | v1_int_1(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v4_membered(v8) | v1_rat_1(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v4_membered(v8) | v1_xreal_0(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v4_membered(v8) | v1_xcmplx_0(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v5_membered(v8) | natural(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v5_membered(v8) | v1_int_1(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v5_membered(v8) | v1_rat_1(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v5_membered(v8) | v1_xreal_0(v9)) & ! [v8] : ! [v9] : ( ~ element(v9, v8) | ~ v5_membered(v8) | v1_xcmplx_0(v9)) & ! [v8] : ! [v9] : ( ~ element(v8, v9) | empty(v9) | in(v8, v9)) & ! [v8] : ! [v9] : ( ~ empty(v9) | ~ in(v8, v9)) & ! [v8] : ! [v9] : ( ~ in(v9, v8) | ~ in(v8, v9)) & ! [v8] : ! [v9] : ( ~ in(v8, v9) | element(v8, v9)) & ! [v8] : (v8 = empty_set | ~ empty(v8)) & ! [v8] : ( ~ empty(v8) | v1_membered(v8)) & ! [v8] : ( ~ empty(v8) | v2_membered(v8)) & ! [v8] : ( ~ empty(v8) | v3_membered(v8)) & ! [v8] : ( ~ empty(v8) | v4_membered(v8)) & ! [v8] : ( ~ empty(v8) | v5_membered(v8)) & ! [v8] : ( ~ v2_membered(v8) | v1_membered(v8)) & ! [v8] : ( ~ v3_membered(v8) | v2_membered(v8)) & ! [v8] : ( ~ v4_membered(v8) | v3_membered(v8)) & ! [v8] : ( ~ v5_membered(v8) | v4_membered(v8)) & ? [v8] : ? [v9] : element(v9, v8) & ? [v8] : subset(v8, v8)) % 6.01/1.97 | 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 yields: % 6.01/1.97 | (1) ~ (all_0_2_2 = all_0_3_3) & the_carrier(all_0_7_7) = all_0_6_6 & cast_as_carrier_subset(all_0_7_7) = all_0_4_4 & subset_intersection2(all_0_6_6, all_0_3_3, all_0_4_4) = all_0_2_2 & powerset(all_0_6_6) = all_0_5_5 & one_sorted_str(all_0_1_1) & one_sorted_str(all_0_7_7) & element(all_0_3_3, all_0_5_5) & empty(empty_set) & v1_membered(all_0_0_0) & v1_membered(empty_set) & v2_membered(all_0_0_0) & v2_membered(empty_set) & v3_membered(all_0_0_0) & v3_membered(empty_set) & v4_membered(all_0_0_0) & v4_membered(empty_set) & v5_membered(all_0_0_0) & v5_membered(empty_set) & ~ empty(all_0_0_0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subset_intersection2(v4, v3, v2) = v1) | ~ (subset_intersection2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_intersection2(v1, v2) = v4) | ~ (powerset(v0) = v3) | ~ element(v2, v3) | ~ element(v1, v3) | subset_intersection2(v0, v1, v2) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset_intersection2(v0, v2, v1) = v3) | ? [v4] : ? [v5] : (subset_intersection2(v0, v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 | ~ element(v2, v4) | ~ element(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (subset_intersection2(v0, v2, v1) = v5 & powerset(v0) = v4 & (v5 = v3 | ~ element(v2, v4) | ~ element(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (set_intersection2(v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 | ~ element(v2, v4) | ~ element(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) | ? [v4] : (powerset(v0) = v4 & ( ~ element(v2, v4) | ~ element(v1, v4) | element(v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ element(v1, v3) | ~ empty(v2) | ~ in(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ element(v1, v3) | ~ in(v0, v1) | element(v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (subset_intersection2(v1, v2, v2) = v3) | ? [v4] : (powerset(v1) = v4 & ( ~ element(v2, v4) | ~ element(v0, v4)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (set_intersection2(v0, v1) = v2) | ~ subset(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cast_as_carrier_subset(v2) = v1) | ~ (cast_as_carrier_subset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v1_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v2_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v2_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v3_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v3_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v3_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v4_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v4_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v4_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v4_membered(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v5_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v5_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v5_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v5_membered(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v5_membered(v0) | v5_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v1_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v2_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v2_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v3_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v3_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v3_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v4_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v4_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v4_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v4_membered(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v5_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v5_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v5_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v5_membered(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v5_membered(v0) | v5_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ subset(v0, v1) | element(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ element(v0, v2) | subset(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v1_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v2_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v2_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v3_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v3_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v3_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v4_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v4_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v4_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v4_membered(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v5_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v5_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v5_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v5_membered(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v5_membered(v0) | v5_membered(v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ empty(v1) | ~ empty(v0)) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1)) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ~ one_sorted_str(v0) | cast_as_carrier_subset(v0) = v1) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ~ one_sorted_str(v0) | ? [v2] : ? [v3] : (cast_as_carrier_subset(v0) = v2 & powerset(v1) = v3 & element(v2, v3))) & ! [v0] : ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) | ~ one_sorted_str(v0) | the_carrier(v0) = v1) & ! [v0] : ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) | ~ one_sorted_str(v0) | ? [v2] : ? [v3] : (the_carrier(v0) = v2 & powerset(v2) = v3 & element(v1, v3))) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ~ empty(v1)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) | ? [v2] : (element(v2, v1) & ~ empty(v2))) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (element(v2, v1) & empty(v2))) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v1_membered(v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v2_membered(v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v2_membered(v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v3_membered(v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v3_membered(v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v3_membered(v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v4_membered(v0) | v1_int_1(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v4_membered(v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v4_membered(v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v4_membered(v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v5_membered(v0) | natural(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v5_membered(v0) | v1_int_1(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v5_membered(v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v5_membered(v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v5_membered(v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1)) & ! [v0] : ! [v1] : ( ~ empty(v1) | ~ in(v0, v1)) & ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1)) & ! [v0] : ! [v1] : ( ~ in(v0, v1) | element(v0, v1)) & ! [v0] : (v0 = empty_set | ~ empty(v0)) & ! [v0] : ( ~ empty(v0) | v1_membered(v0)) & ! [v0] : ( ~ empty(v0) | v2_membered(v0)) & ! [v0] : ( ~ empty(v0) | v3_membered(v0)) & ! [v0] : ( ~ empty(v0) | v4_membered(v0)) & ! [v0] : ( ~ empty(v0) | v5_membered(v0)) & ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0)) & ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0)) & ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0)) & ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0)) & ? [v0] : ? [v1] : element(v1, v0) & ? [v0] : subset(v0, v0) % 6.01/2.00 | % 6.01/2.00 | Applying alpha-rule on (1) yields: % 6.01/2.00 | (2) ! [v0] : ( ~ empty(v0) | v3_membered(v0)) % 6.01/2.00 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v5_membered(v0) | v3_membered(v2)) % 6.01/2.00 | (4) ! [v0] : ( ~ empty(v0) | v5_membered(v0)) % 6.01/2.00 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v4_membered(v0) | v4_membered(v2)) % 6.01/2.00 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v2_membered(v0) | v1_membered(v2)) % 6.01/2.00 | (7) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (set_intersection2(v0, v1) = v2) | ~ subset(v0, v1)) % 6.01/2.00 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v4_membered(v0) | v2_membered(v2)) % 6.01/2.00 | (9) ? [v0] : ? [v1] : element(v1, v0) % 6.01/2.00 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v5_membered(v0) | v2_membered(v2)) % 6.01/2.00 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v3_membered(v0) | v3_membered(v2)) % 6.01/2.00 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v3_membered(v0) | v1_membered(v2)) % 6.01/2.00 | (13) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v3_membered(v0) | v1_xcmplx_0(v1)) % 6.01/2.00 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v3_membered(v0) | v3_membered(v2)) % 6.01/2.01 | (15) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v1_membered(v0) | v1_xcmplx_0(v1)) % 6.01/2.01 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) % 6.01/2.01 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) | ? [v4] : (powerset(v0) = v4 & ( ~ element(v2, v4) | ~ element(v1, v4) | element(v3, v4)))) % 6.01/2.01 | (18) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v4_membered(v0) | v1_int_1(v1)) % 6.01/2.01 | (19) one_sorted_str(all_0_7_7) % 6.01/2.01 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v4_membered(v0) | v3_membered(v2)) % 6.01/2.01 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v5_membered(v0) | v1_membered(v2)) % 6.01/2.01 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v5_membered(v0) | v5_membered(v2)) % 6.01/2.01 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v4_membered(v0) | v1_membered(v2)) % 6.01/2.01 | (24) v5_membered(empty_set) % 6.01/2.01 | (25) ? [v0] : subset(v0, v0) % 6.01/2.01 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cast_as_carrier_subset(v2) = v1) | ~ (cast_as_carrier_subset(v2) = v0)) % 6.01/2.01 | (27) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v5_membered(v0) | v1_int_1(v1)) % 6.01/2.01 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v3_membered(v0) | v2_membered(v2)) % 6.01/2.01 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v5_membered(v0) | v4_membered(v2)) % 6.01/2.01 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v5_membered(v0) | v4_membered(v2)) % 6.01/2.01 | (31) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1)) % 6.01/2.01 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v5_membered(v0) | v1_membered(v2)) % 6.01/2.01 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v4_membered(v0) | v4_membered(v2)) % 6.01/2.01 | (34) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ~ one_sorted_str(v0) | ? [v2] : ? [v3] : (cast_as_carrier_subset(v0) = v2 & powerset(v1) = v3 & element(v2, v3))) % 6.01/2.01 | (35) ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1)) % 6.01/2.01 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ element(v1, v3) | ~ in(v0, v1) | element(v0, v2)) % 6.01/2.01 | (37) ! [v0] : ! [v1] : (v1 = v0 | ~ empty(v1) | ~ empty(v0)) % 6.01/2.01 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v5_membered(v0) | v2_membered(v2)) % 6.01/2.01 | (39) ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0)) % 6.01/2.01 | (40) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v2_membered(v0) | v1_xreal_0(v1)) % 6.01/2.01 | (41) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v4_membered(v0) | v1_xcmplx_0(v1)) % 6.01/2.01 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v2_membered(v0) | v1_membered(v2)) % 6.01/2.01 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v3_membered(v0) | v2_membered(v2)) % 6.01/2.01 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) % 6.01/2.01 | (45) ! [v0] : ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1)) % 6.01/2.01 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v5_membered(v0) | v3_membered(v2)) % 6.01/2.01 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v4_membered(v0) | v3_membered(v2)) % 6.01/2.02 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v1_membered(v0) | v1_membered(v2)) % 6.01/2.02 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset_intersection2(v0, v2, v1) = v3) | ? [v4] : ? [v5] : (subset_intersection2(v0, v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 | ~ element(v2, v4) | ~ element(v1, v4)))) % 6.01/2.02 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v1_membered(v0) | v1_membered(v2)) % 6.01/2.02 | (51) v4_membered(all_0_0_0) % 6.01/2.02 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v4_membered(v0) | v2_membered(v2)) % 6.01/2.02 | (53) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (subset_intersection2(v1, v2, v2) = v3) | ? [v4] : (powerset(v1) = v4 & ( ~ element(v2, v4) | ~ element(v0, v4)))) % 6.01/2.02 | (54) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v3_membered(v0) | v1_xreal_0(v1)) % 6.01/2.02 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v5_membered(v0) | v1_membered(v2)) % 6.01/2.02 | (56) ! [v0] : ( ~ empty(v0) | v4_membered(v0)) % 6.01/2.02 | (57) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v2_membered(v0) | v2_membered(v2)) % 6.01/2.02 | (58) ! [v0] : ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) | ~ one_sorted_str(v0) | ? [v2] : ? [v3] : (the_carrier(v0) = v2 & powerset(v2) = v3 & element(v1, v3))) % 6.01/2.02 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v4_membered(v0) | v1_membered(v2)) % 6.01/2.02 | (60) ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0)) % 6.01/2.02 | (61) ~ empty(all_0_0_0) % 6.01/2.02 | (62) v4_membered(empty_set) % 6.01/2.02 | (63) v2_membered(all_0_0_0) % 6.01/2.02 | (64) v3_membered(empty_set) % 6.01/2.02 | (65) v2_membered(empty_set) % 6.01/2.02 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ element(v1, v3) | ~ empty(v2) | ~ in(v0, v1)) % 6.01/2.02 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_intersection2(v1, v2) = v4) | ~ (powerset(v0) = v3) | ~ element(v2, v3) | ~ element(v1, v3) | subset_intersection2(v0, v1, v2) = v4) % 6.01/2.02 | (68) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v5_membered(v0) | v2_membered(v2)) % 6.01/2.02 | (69) ! [v0] : ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) | ~ one_sorted_str(v0) | the_carrier(v0) = v1) % 6.01/2.02 | (70) element(all_0_3_3, all_0_5_5) % 6.01/2.02 | (71) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ~ one_sorted_str(v0) | cast_as_carrier_subset(v0) = v1) % 6.01/2.02 | (72) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) % 6.36/2.02 | (73) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2) % 6.36/2.02 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) % 6.36/2.02 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v5_membered(v0) | v5_membered(v2)) % 6.36/2.02 | (76) cast_as_carrier_subset(all_0_7_7) = all_0_4_4 % 6.36/2.02 | (77) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v5_membered(v0) | v1_xreal_0(v1)) % 6.36/2.02 | (78) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v5_membered(v0) | v1_xcmplx_0(v1)) % 6.36/2.02 | (79) ~ (all_0_2_2 = all_0_3_3) % 6.36/2.02 | (80) ! [v0] : ! [v1] : ( ~ in(v0, v1) | element(v0, v1)) % 6.36/2.02 | (81) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v2_membered(v0) | v2_membered(v2)) % 6.36/2.02 | (82) ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0)) % 6.36/2.02 | (83) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v5_membered(v0) | natural(v1)) % 6.36/2.02 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v3_membered(v0) | v1_membered(v2)) % 6.36/2.02 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v5_membered(v0) | v4_membered(v2)) % 6.36/2.02 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subset_intersection2(v4, v3, v2) = v1) | ~ (subset_intersection2(v4, v3, v2) = v0)) % 6.36/2.02 | (87) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v5_membered(v0) | v5_membered(v2)) % 6.36/2.02 | (88) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v3_membered(v0) | v3_membered(v2)) % 6.36/2.02 | (89) v5_membered(all_0_0_0) % 6.36/2.02 | (90) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v4_membered(v0) | v1_xreal_0(v1)) % 6.36/2.03 | (91) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v4_membered(v0) | v1_membered(v2)) % 6.36/2.03 | (92) ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0)) % 6.36/2.03 | (93) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v2_membered(v0) | v2_membered(v2)) % 6.36/2.03 | (94) v1_membered(all_0_0_0) % 6.36/2.03 | (95) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v2_membered(v0) | v1_xcmplx_0(v1)) % 6.36/2.03 | (96) v1_membered(empty_set) % 6.36/2.03 | (97) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v5_membered(v0) | v3_membered(v2)) % 6.36/2.03 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v2_membered(v0) | v1_membered(v2)) % 6.36/2.03 | (99) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v4_membered(v0) | v1_rat_1(v1)) % 6.36/2.03 | (100) empty(empty_set) % 6.36/2.03 | (101) the_carrier(all_0_7_7) = all_0_6_6 % 6.36/2.03 | (102) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) | ? [v2] : (element(v2, v1) & ~ empty(v2))) % 6.36/2.03 | (103) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v4_membered(v0) | v3_membered(v2)) % 6.36/2.03 | (104) ! [v0] : (v0 = empty_set | ~ empty(v0)) % 6.36/2.03 | (105) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v1_membered(v0) | v1_membered(v2)) % 6.36/2.03 | (106) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ element(v2, v1) | ~ v4_membered(v0) | v4_membered(v2)) % 6.36/2.03 | (107) powerset(all_0_6_6) = all_0_5_5 % 6.36/2.03 | (108) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v3_membered(v0) | v1_membered(v2)) % 6.36/2.03 | (109) ! [v0] : ( ~ empty(v0) | v2_membered(v0)) % 6.36/2.03 | (110) ! [v0] : ( ~ empty(v0) | v1_membered(v0)) % 6.36/2.03 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (subset_intersection2(v0, v2, v1) = v5 & powerset(v0) = v4 & (v5 = v3 | ~ element(v2, v4) | ~ element(v1, v4)))) % 6.36/2.03 | (112) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | ~ v4_membered(v0) | v2_membered(v2)) % 6.36/2.03 | (113) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ element(v0, v2) | subset(v0, v1)) % 6.36/2.03 | (114) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ subset(v0, v1) | element(v0, v2)) % 6.36/2.03 | (115) ! [v0] : ! [v1] : ( ~ empty(v1) | ~ in(v0, v1)) % 6.36/2.03 | (116) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v5_membered(v0) | v1_rat_1(v1)) % 6.36/2.03 | (117) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (element(v2, v1) & empty(v2))) % 6.36/2.03 | (118) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ~ v3_membered(v0) | v2_membered(v2)) % 6.36/2.03 | (119) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ~ empty(v1)) % 6.36/2.03 | (120) ! [v0] : ! [v1] : ( ~ element(v1, v0) | ~ v3_membered(v0) | v1_rat_1(v1)) % 6.36/2.03 | (121) v3_membered(all_0_0_0) % 6.36/2.03 | (122) one_sorted_str(all_0_1_1) % 6.36/2.03 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (set_intersection2(v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 | ~ element(v2, v4) | ~ element(v1, v4)))) % 6.36/2.03 | (124) subset_intersection2(all_0_6_6, all_0_3_3, all_0_4_4) = all_0_2_2 % 6.36/2.03 | (125) ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1)) % 6.36/2.03 | % 6.36/2.03 | Instantiating formula (49) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms subset_intersection2(all_0_6_6, all_0_3_3, all_0_4_4) = all_0_2_2, yields: % 6.36/2.03 | (126) ? [v0] : ? [v1] : (subset_intersection2(all_0_6_6, all_0_4_4, all_0_3_3) = v1 & powerset(all_0_6_6) = v0 & (v1 = all_0_2_2 | ~ element(all_0_3_3, v0) | ~ element(all_0_4_4, v0))) % 6.36/2.03 | % 6.36/2.03 | Instantiating formula (123) with all_0_2_2, all_0_4_4, all_0_3_3, all_0_6_6 and discharging atoms subset_intersection2(all_0_6_6, all_0_3_3, all_0_4_4) = all_0_2_2, yields: % 6.36/2.03 | (127) ? [v0] : ? [v1] : (set_intersection2(all_0_3_3, all_0_4_4) = v1 & powerset(all_0_6_6) = v0 & (v1 = all_0_2_2 | ~ element(all_0_3_3, v0) | ~ element(all_0_4_4, v0))) % 6.36/2.03 | % 6.36/2.03 | Instantiating formula (17) with all_0_2_2, all_0_4_4, all_0_3_3, all_0_6_6 and discharging atoms subset_intersection2(all_0_6_6, all_0_3_3, all_0_4_4) = all_0_2_2, yields: % 6.36/2.03 | (128) ? [v0] : (powerset(all_0_6_6) = v0 & ( ~ element(all_0_3_3, v0) | ~ element(all_0_4_4, v0) | element(all_0_2_2, v0))) % 6.36/2.03 | % 6.36/2.03 | Instantiating formula (71) with all_0_6_6, all_0_7_7 and discharging atoms the_carrier(all_0_7_7) = all_0_6_6, one_sorted_str(all_0_7_7), yields: % 6.36/2.03 | (129) cast_as_carrier_subset(all_0_7_7) = all_0_6_6 % 6.36/2.03 | % 6.36/2.03 | Instantiating formula (34) with all_0_6_6, all_0_7_7 and discharging atoms the_carrier(all_0_7_7) = all_0_6_6, one_sorted_str(all_0_7_7), yields: % 6.36/2.03 | (130) ? [v0] : ? [v1] : (cast_as_carrier_subset(all_0_7_7) = v0 & powerset(all_0_6_6) = v1 & element(v0, v1)) % 6.36/2.03 | % 6.36/2.03 | Instantiating formula (113) with all_0_5_5, all_0_6_6, all_0_3_3 and discharging atoms powerset(all_0_6_6) = all_0_5_5, element(all_0_3_3, all_0_5_5), yields: % 6.36/2.03 | (131) subset(all_0_3_3, all_0_6_6) % 6.36/2.03 | % 6.36/2.03 | Instantiating (130) with all_15_0_12, all_15_1_13 yields: % 6.36/2.03 | (132) cast_as_carrier_subset(all_0_7_7) = all_15_1_13 & powerset(all_0_6_6) = all_15_0_12 & element(all_15_1_13, all_15_0_12) % 6.36/2.03 | % 6.36/2.03 | Applying alpha-rule on (132) yields: % 6.36/2.03 | (133) cast_as_carrier_subset(all_0_7_7) = all_15_1_13 % 6.36/2.04 | (134) powerset(all_0_6_6) = all_15_0_12 % 6.36/2.04 | (135) element(all_15_1_13, all_15_0_12) % 6.36/2.04 | % 6.36/2.04 | Instantiating (128) with all_21_0_17 yields: % 6.36/2.04 | (136) powerset(all_0_6_6) = all_21_0_17 & ( ~ element(all_0_3_3, all_21_0_17) | ~ element(all_0_4_4, all_21_0_17) | element(all_0_2_2, all_21_0_17)) % 6.36/2.04 | % 6.36/2.04 | Applying alpha-rule on (136) yields: % 6.36/2.04 | (137) powerset(all_0_6_6) = all_21_0_17 % 6.36/2.04 | (138) ~ element(all_0_3_3, all_21_0_17) | ~ element(all_0_4_4, all_21_0_17) | element(all_0_2_2, all_21_0_17) % 6.36/2.04 | % 6.36/2.04 | Instantiating (127) with all_23_0_18, all_23_1_19 yields: % 6.36/2.04 | (139) set_intersection2(all_0_3_3, all_0_4_4) = all_23_0_18 & powerset(all_0_6_6) = all_23_1_19 & (all_23_0_18 = all_0_2_2 | ~ element(all_0_3_3, all_23_1_19) | ~ element(all_0_4_4, all_23_1_19)) % 6.36/2.04 | % 6.36/2.04 | Applying alpha-rule on (139) yields: % 6.36/2.04 | (140) set_intersection2(all_0_3_3, all_0_4_4) = all_23_0_18 % 6.36/2.04 | (141) powerset(all_0_6_6) = all_23_1_19 % 6.36/2.04 | (142) all_23_0_18 = all_0_2_2 | ~ element(all_0_3_3, all_23_1_19) | ~ element(all_0_4_4, all_23_1_19) % 6.36/2.04 | % 6.36/2.04 | Instantiating (126) with all_25_0_20, all_25_1_21 yields: % 6.36/2.04 | (143) subset_intersection2(all_0_6_6, all_0_4_4, all_0_3_3) = all_25_0_20 & powerset(all_0_6_6) = all_25_1_21 & (all_25_0_20 = all_0_2_2 | ~ element(all_0_3_3, all_25_1_21) | ~ element(all_0_4_4, all_25_1_21)) % 6.36/2.04 | % 6.36/2.04 | Applying alpha-rule on (143) yields: % 6.36/2.04 | (144) subset_intersection2(all_0_6_6, all_0_4_4, all_0_3_3) = all_25_0_20 % 6.36/2.04 | (145) powerset(all_0_6_6) = all_25_1_21 % 6.36/2.04 | (146) all_25_0_20 = all_0_2_2 | ~ element(all_0_3_3, all_25_1_21) | ~ element(all_0_4_4, all_25_1_21) % 6.36/2.04 | % 6.36/2.04 | Instantiating formula (26) with all_0_7_7, all_15_1_13, all_0_4_4 and discharging atoms cast_as_carrier_subset(all_0_7_7) = all_15_1_13, cast_as_carrier_subset(all_0_7_7) = all_0_4_4, yields: % 6.36/2.04 | (147) all_15_1_13 = all_0_4_4 % 6.36/2.04 | % 6.36/2.04 | Instantiating formula (26) with all_0_7_7, all_0_6_6, all_15_1_13 and discharging atoms cast_as_carrier_subset(all_0_7_7) = all_15_1_13, cast_as_carrier_subset(all_0_7_7) = all_0_6_6, yields: % 6.36/2.04 | (148) all_15_1_13 = all_0_6_6 % 6.36/2.04 | % 6.36/2.04 | Instantiating formula (74) with all_0_6_6, all_25_1_21, all_0_5_5 and discharging atoms powerset(all_0_6_6) = all_25_1_21, powerset(all_0_6_6) = all_0_5_5, yields: % 6.36/2.04 | (149) all_25_1_21 = all_0_5_5 % 6.36/2.04 | % 6.36/2.04 | Instantiating formula (74) with all_0_6_6, all_23_1_19, all_25_1_21 and discharging atoms powerset(all_0_6_6) = all_25_1_21, powerset(all_0_6_6) = all_23_1_19, yields: % 6.36/2.04 | (150) all_25_1_21 = all_23_1_19 % 6.36/2.04 | % 6.36/2.04 | Instantiating formula (74) with all_0_6_6, all_21_0_17, all_25_1_21 and discharging atoms powerset(all_0_6_6) = all_25_1_21, powerset(all_0_6_6) = all_21_0_17, yields: % 6.36/2.04 | (151) all_25_1_21 = all_21_0_17 % 6.36/2.04 | % 6.36/2.04 | Instantiating formula (74) with all_0_6_6, all_15_0_12, all_25_1_21 and discharging atoms powerset(all_0_6_6) = all_25_1_21, powerset(all_0_6_6) = all_15_0_12, yields: % 6.36/2.04 | (152) all_25_1_21 = all_15_0_12 % 6.36/2.04 | % 6.36/2.04 | Combining equations (152,150) yields a new equation: % 6.36/2.04 | (153) all_23_1_19 = all_15_0_12 % 6.36/2.04 | % 6.36/2.04 | Combining equations (151,150) yields a new equation: % 6.36/2.04 | (154) all_23_1_19 = all_21_0_17 % 6.36/2.04 | % 6.36/2.04 | Combining equations (149,150) yields a new equation: % 6.36/2.04 | (155) all_23_1_19 = all_0_5_5 % 6.36/2.04 | % 6.36/2.04 | Combining equations (155,154) yields a new equation: % 6.36/2.04 | (156) all_21_0_17 = all_0_5_5 % 6.36/2.04 | % 6.36/2.04 | Combining equations (153,154) yields a new equation: % 6.36/2.04 | (157) all_21_0_17 = all_15_0_12 % 6.36/2.04 | % 6.36/2.04 | Combining equations (156,157) yields a new equation: % 6.36/2.04 | (158) all_15_0_12 = all_0_5_5 % 6.36/2.04 | % 6.36/2.04 | Combining equations (148,147) yields a new equation: % 6.36/2.04 | (159) all_0_4_4 = all_0_6_6 % 6.36/2.04 | % 6.36/2.04 | Combining equations (159,147) yields a new equation: % 6.36/2.04 | (148) all_15_1_13 = all_0_6_6 % 6.36/2.04 | % 6.36/2.04 | Combining equations (158,157) yields a new equation: % 6.36/2.04 | (156) all_21_0_17 = all_0_5_5 % 6.36/2.04 | % 6.36/2.04 | Combining equations (156,154) yields a new equation: % 6.36/2.04 | (155) all_23_1_19 = all_0_5_5 % 6.36/2.04 | % 6.36/2.04 | From (159) and (140) follows: % 6.36/2.04 | (163) set_intersection2(all_0_3_3, all_0_6_6) = all_23_0_18 % 6.36/2.04 | % 6.36/2.04 | From (148)(158) and (135) follows: % 6.36/2.04 | (164) element(all_0_6_6, all_0_5_5) % 6.36/2.04 | % 6.36/2.04 +-Applying beta-rule and splitting (142), into two cases. % 6.36/2.04 |-Branch one: % 6.36/2.04 | (165) ~ element(all_0_3_3, all_23_1_19) % 6.36/2.04 | % 6.36/2.04 | From (155) and (165) follows: % 6.36/2.04 | (166) ~ element(all_0_3_3, all_0_5_5) % 6.36/2.04 | % 6.36/2.04 | Using (70) and (166) yields: % 6.36/2.04 | (167) $false % 6.36/2.04 | % 6.36/2.04 |-The branch is then unsatisfiable % 6.36/2.04 |-Branch two: % 6.36/2.04 | (168) element(all_0_3_3, all_23_1_19) % 6.36/2.04 | (169) all_23_0_18 = all_0_2_2 | ~ element(all_0_4_4, all_23_1_19) % 6.36/2.04 | % 6.36/2.04 | From (155) and (168) follows: % 6.36/2.04 | (70) element(all_0_3_3, all_0_5_5) % 6.36/2.04 | % 6.36/2.04 +-Applying beta-rule and splitting (138), into two cases. % 6.36/2.04 |-Branch one: % 6.36/2.04 | (171) ~ element(all_0_3_3, all_21_0_17) % 6.36/2.04 | % 6.36/2.04 | From (156) and (171) follows: % 6.36/2.04 | (166) ~ element(all_0_3_3, all_0_5_5) % 6.36/2.04 | % 6.36/2.04 | Using (70) and (166) yields: % 6.36/2.04 | (167) $false % 6.36/2.04 | % 6.36/2.04 |-The branch is then unsatisfiable % 6.36/2.04 |-Branch two: % 6.36/2.04 | (174) element(all_0_3_3, all_21_0_17) % 6.36/2.04 | (175) ~ element(all_0_4_4, all_21_0_17) | element(all_0_2_2, all_21_0_17) % 6.36/2.04 | % 6.36/2.04 +-Applying beta-rule and splitting (175), into two cases. % 6.36/2.04 |-Branch one: % 6.36/2.04 | (176) ~ element(all_0_4_4, all_21_0_17) % 6.36/2.04 | % 6.36/2.04 | From (159)(156) and (176) follows: % 6.36/2.04 | (177) ~ element(all_0_6_6, all_0_5_5) % 6.36/2.04 | % 6.36/2.04 | Using (164) and (177) yields: % 6.36/2.04 | (167) $false % 6.36/2.04 | % 6.36/2.04 |-The branch is then unsatisfiable % 6.36/2.04 |-Branch two: % 6.36/2.04 | (179) element(all_0_4_4, all_21_0_17) % 6.36/2.04 | (180) element(all_0_2_2, all_21_0_17) % 6.36/2.04 | % 6.36/2.04 | From (159)(156) and (179) follows: % 6.36/2.04 | (164) element(all_0_6_6, all_0_5_5) % 6.36/2.04 | % 6.36/2.04 +-Applying beta-rule and splitting (169), into two cases. % 6.36/2.04 |-Branch one: % 6.36/2.04 | (182) ~ element(all_0_4_4, all_23_1_19) % 6.36/2.04 | % 6.36/2.04 | From (159)(155) and (182) follows: % 6.36/2.04 | (177) ~ element(all_0_6_6, all_0_5_5) % 6.36/2.04 | % 6.36/2.04 | Using (164) and (177) yields: % 6.36/2.04 | (167) $false % 6.36/2.04 | % 6.36/2.04 |-The branch is then unsatisfiable % 6.36/2.04 |-Branch two: % 6.36/2.04 | (185) element(all_0_4_4, all_23_1_19) % 6.36/2.04 | (186) all_23_0_18 = all_0_2_2 % 6.36/2.04 | % 6.36/2.04 | From (186) and (163) follows: % 6.36/2.04 | (187) set_intersection2(all_0_3_3, all_0_6_6) = all_0_2_2 % 6.36/2.04 | % 6.36/2.04 | Instantiating formula (7) with all_0_2_2, all_0_6_6, all_0_3_3 and discharging atoms set_intersection2(all_0_3_3, all_0_6_6) = all_0_2_2, subset(all_0_3_3, all_0_6_6), yields: % 6.36/2.04 | (188) all_0_2_2 = all_0_3_3 % 6.36/2.04 | % 6.36/2.05 | Equations (188) can reduce 79 to: % 6.36/2.05 | (189) $false % 6.36/2.05 | % 6.36/2.05 |-The branch is then unsatisfiable % 6.36/2.05 % SZS output end Proof for theBenchmark % 6.36/2.05 % 6.36/2.05 1452ms %------------------------------------------------------------------------------