%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET352+4 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n023.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 00:19:10 EDT 2022 % Result : Theorem 4.91s 1.80s % Output : Proof 6.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET352+4 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.34 % Computer : n023.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sat Jul 9 18:31:40 EDT 2022 % 0.14/0.34 % CPUTime : % 0.56/0.61 ____ _ % 0.56/0.61 ___ / __ \_____(_)___ ________ __________ % 0.56/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.56/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.56/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.56/0.61 % 0.56/0.61 A Theorem Prover for First-Order Logic % 0.63/0.61 (ePrincess v.1.0) % 0.63/0.61 % 0.63/0.61 (c) Philipp Rümmer, 2009-2015 % 0.63/0.61 (c) Peter Backeman, 2014-2015 % 0.63/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.63/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.63/0.61 Bug reports to peter@backeman.se % 0.63/0.61 % 0.63/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.63/0.61 % 0.63/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.70/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.57/0.91 Prover 0: Preprocessing ... % 2.04/1.10 Prover 0: Warning: ignoring some quantifiers % 2.04/1.12 Prover 0: Constructing countermodel ... % 4.11/1.61 Prover 0: gave up % 4.11/1.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 4.11/1.63 Prover 1: Preprocessing ... % 4.46/1.72 Prover 1: Constructing countermodel ... % 4.91/1.80 Prover 1: proved (188ms) % 4.91/1.80 % 4.91/1.80 No countermodel exists, formula is valid % 4.91/1.80 % SZS status Theorem for theBenchmark % 4.91/1.80 % 4.91/1.80 Generating proof ... found it (size 80) % 6.53/2.17 % 6.53/2.17 % SZS output start Proof for theBenchmark % 6.53/2.17 Assumed formulas after preprocessing and simplification: % 6.53/2.17 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & sum(v2) = v3 & unordered_pair(v0, v1) = v2 & union(v0, v1) = v4 & equal_set(v3, v4) = v5 & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (product(v7) = v8) | ~ (member(v6, v9) = v10) | ~ (member(v6, v8) = 0) | ? [v11] : ( ~ (v11 = 0) & member(v9, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (difference(v8, v7) = v9) | ~ (member(v6, v9) = v10) | ? [v11] : ? [v12] : (member(v6, v8) = v11 & member(v6, v7) = v12 & ( ~ (v11 = 0) | v12 = 0))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (union(v7, v8) = v9) | ~ (member(v6, v9) = v10) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & ~ (v11 = 0) & member(v6, v8) = v12 & member(v6, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (intersection(v7, v8) = v9) | ~ (member(v6, v9) = v10) | ? [v11] : ? [v12] : (member(v6, v8) = v12 & member(v6, v7) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = 0 | ~ (sum(v7) = v8) | ~ (member(v6, v10) = 0) | ~ (member(v6, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & member(v10, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (product(v7) = v8) | ~ (member(v6, v8) = v9) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & member(v10, v7) = 0 & member(v6, v10) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (unordered_pair(v7, v6) = v8) | ~ (member(v6, v8) = v9)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (unordered_pair(v6, v7) = v8) | ~ (member(v6, v8) = v9)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (power_set(v7) = v8) | ~ (member(v6, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & subset(v6, v7) = v10)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = v6 | v7 = v6 | ~ (unordered_pair(v7, v8) = v9) | ~ (member(v6, v9) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (unordered_pair(v9, v8) = v7) | ~ (unordered_pair(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (difference(v9, v8) = v7) | ~ (difference(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (union(v9, v8) = v7) | ~ (union(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (intersection(v9, v8) = v7) | ~ (intersection(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (equal_set(v9, v8) = v7) | ~ (equal_set(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (subset(v9, v8) = v7) | ~ (subset(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (member(v9, v8) = v7) | ~ (member(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (difference(v8, v7) = v9) | ~ (member(v6, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & member(v6, v8) = 0 & member(v6, v7) = v10)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (union(v7, v8) = v9) | ~ (member(v6, v9) = 0) | ? [v10] : ? [v11] : (member(v6, v8) = v11 & member(v6, v7) = v10 & (v11 = 0 | v10 = 0))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (intersection(v7, v8) = v9) | ~ (member(v6, v9) = 0) | (member(v6, v8) = 0 & member(v6, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (singleton(v6) = v7) | ~ (member(v6, v7) = v8)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (equal_set(v6, v7) = v8) | ? [v9] : ? [v10] : (subset(v7, v6) = v10 & subset(v6, v7) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0)))) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (subset(v6, v7) = v8) | ? [v9] : ? [v10] : ( ~ (v10 = 0) & member(v9, v7) = v10 & member(v9, v6) = 0)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (product(v8) = v7) | ~ (product(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (sum(v8) = v7) | ~ (sum(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (singleton(v8) = v7) | ~ (singleton(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (singleton(v7) = v8) | ~ (member(v6, v8) = 0)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (power_set(v8) = v7) | ~ (power_set(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (sum(v7) = v8) | ~ (member(v6, v8) = 0) | ? [v9] : (member(v9, v7) = 0 & member(v6, v9) = 0)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (power_set(v7) = v8) | ~ (member(v6, v8) = 0) | subset(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : ( ~ (subset(v6, v7) = 0) | ~ (member(v8, v6) = 0) | member(v8, v7) = 0) & ! [v6] : ! [v7] : ( ~ (equal_set(v6, v7) = 0) | (subset(v7, v6) = 0 & subset(v6, v7) = 0)) & ! [v6] : ~ (member(v6, empty_set) = 0)) % 6.53/2.21 | 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 yields: % 6.53/2.21 | (1) ~ (all_0_0_0 = 0) & sum(all_0_3_3) = all_0_2_2 & unordered_pair(all_0_5_5, all_0_4_4) = all_0_3_3 & union(all_0_5_5, all_0_4_4) = all_0_1_1 & equal_set(all_0_2_2, all_0_1_1) = all_0_0_0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v3) = v4) | ~ (member(v0, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & member(v3, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : (member(v0, v2) = v5 & member(v0, v1) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & member(v0, v2) = v6 & member(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : (member(v0, v2) = v6 & member(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v0, v4) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = 0 & member(v0, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ? [v5] : (member(v0, v2) = v5 & member(v0, v1) = v4 & (v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : ? [v4] : (subset(v1, v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) & ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0)) & ! [v0] : ~ (member(v0, empty_set) = 0) % 6.92/2.22 | % 6.92/2.22 | Applying alpha-rule on (1) yields: % 6.92/2.22 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3)) % 6.92/2.22 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) % 6.92/2.22 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) % 6.92/2.22 | (5) equal_set(all_0_2_2, all_0_1_1) = all_0_0_0 % 6.92/2.22 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : (member(v0, v2) = v6 & member(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) % 6.92/2.22 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0)) % 6.92/2.22 | (8) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2)) % 6.92/2.22 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & member(v0, v2) = v6 & member(v0, v1) = v5)) % 6.92/2.22 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v3) = v4) | ~ (member(v0, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & member(v3, v1) = v5)) % 6.92/2.22 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) % 6.92/2.22 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) % 6.92/2.22 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3)) % 6.92/2.22 | (14) ~ (all_0_0_0 = 0) % 6.92/2.22 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0)) % 6.92/2.22 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0)) % 6.92/2.22 | (17) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0)) % 6.92/2.22 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0)) % 6.92/2.22 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) % 6.92/2.22 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) % 6.92/2.22 | (21) unordered_pair(all_0_5_5, all_0_4_4) = all_0_3_3 % 6.92/2.22 | (22) sum(all_0_3_3) = all_0_2_2 % 6.92/2.22 | (23) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0)) % 6.92/2.22 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0) % 6.92/2.22 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ? [v5] : (member(v0, v2) = v5 & member(v0, v1) = v4 & (v5 = 0 | v4 = 0))) % 6.92/2.23 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4)) % 6.92/2.23 | (27) union(all_0_5_5, all_0_4_4) = all_0_1_1 % 6.92/2.23 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0)) % 6.92/2.23 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0)) % 6.92/2.23 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = 0 & member(v0, v4) = v5)) % 6.92/2.23 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) % 6.92/2.23 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0)) % 6.92/2.23 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : (member(v0, v2) = v5 & member(v0, v1) = v6 & ( ~ (v5 = 0) | v6 = 0))) % 6.92/2.23 | (34) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) % 6.92/2.23 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0)) % 6.92/2.23 | (36) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : ? [v4] : (subset(v1, v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 6.92/2.23 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) % 6.92/2.23 | (38) ! [v0] : ~ (member(v0, empty_set) = 0) % 6.92/2.23 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v0, v4) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = v5)) % 6.92/2.23 | % 6.92/2.23 | Instantiating formula (36) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms equal_set(all_0_2_2, all_0_1_1) = all_0_0_0, yields: % 6.92/2.23 | (40) all_0_0_0 = 0 | ? [v0] : ? [v1] : (subset(all_0_1_1, all_0_2_2) = v1 & subset(all_0_2_2, all_0_1_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 6.92/2.23 | % 6.92/2.23 +-Applying beta-rule and splitting (40), into two cases. % 6.92/2.23 |-Branch one: % 6.92/2.23 | (41) all_0_0_0 = 0 % 6.92/2.23 | % 6.92/2.23 | Equations (41) can reduce 14 to: % 6.92/2.23 | (42) $false % 6.92/2.23 | % 6.92/2.23 |-The branch is then unsatisfiable % 6.92/2.23 |-Branch two: % 6.92/2.23 | (14) ~ (all_0_0_0 = 0) % 6.92/2.23 | (44) ? [v0] : ? [v1] : (subset(all_0_1_1, all_0_2_2) = v1 & subset(all_0_2_2, all_0_1_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 6.92/2.23 | % 6.92/2.23 | Instantiating (44) with all_10_0_6, all_10_1_7 yields: % 6.92/2.23 | (45) subset(all_0_1_1, all_0_2_2) = all_10_0_6 & subset(all_0_2_2, all_0_1_1) = all_10_1_7 & ( ~ (all_10_0_6 = 0) | ~ (all_10_1_7 = 0)) % 6.92/2.23 | % 6.92/2.23 | Applying alpha-rule on (45) yields: % 6.92/2.23 | (46) subset(all_0_1_1, all_0_2_2) = all_10_0_6 % 6.92/2.23 | (47) subset(all_0_2_2, all_0_1_1) = all_10_1_7 % 6.92/2.23 | (48) ~ (all_10_0_6 = 0) | ~ (all_10_1_7 = 0) % 6.92/2.23 | % 6.92/2.23 | Instantiating formula (23) with all_10_0_6, all_0_2_2, all_0_1_1 and discharging atoms subset(all_0_1_1, all_0_2_2) = all_10_0_6, yields: % 6.92/2.23 | (49) all_10_0_6 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_1_1) = 0 & member(v0, all_0_2_2) = v1) % 6.92/2.23 | % 6.92/2.23 | Instantiating formula (23) with all_10_1_7, all_0_1_1, all_0_2_2 and discharging atoms subset(all_0_2_2, all_0_1_1) = all_10_1_7, yields: % 6.92/2.23 | (50) all_10_1_7 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_1_1) = v1 & member(v0, all_0_2_2) = 0) % 6.92/2.23 | % 6.92/2.23 +-Applying beta-rule and splitting (48), into two cases. % 6.92/2.23 |-Branch one: % 6.92/2.23 | (51) ~ (all_10_0_6 = 0) % 6.92/2.23 | % 6.92/2.23 +-Applying beta-rule and splitting (49), into two cases. % 6.92/2.23 |-Branch one: % 6.92/2.23 | (52) all_10_0_6 = 0 % 6.92/2.23 | % 6.92/2.23 | Equations (52) can reduce 51 to: % 6.92/2.23 | (42) $false % 6.92/2.23 | % 6.92/2.23 |-The branch is then unsatisfiable % 6.92/2.23 |-Branch two: % 6.92/2.23 | (51) ~ (all_10_0_6 = 0) % 6.92/2.23 | (55) ? [v0] : ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_1_1) = 0 & member(v0, all_0_2_2) = v1) % 6.92/2.23 | % 6.92/2.23 | Instantiating (55) with all_23_0_8, all_23_1_9 yields: % 6.92/2.23 | (56) ~ (all_23_0_8 = 0) & member(all_23_1_9, all_0_1_1) = 0 & member(all_23_1_9, all_0_2_2) = all_23_0_8 % 6.92/2.24 | % 6.92/2.24 | Applying alpha-rule on (56) yields: % 6.92/2.24 | (57) ~ (all_23_0_8 = 0) % 6.92/2.24 | (58) member(all_23_1_9, all_0_1_1) = 0 % 6.92/2.24 | (59) member(all_23_1_9, all_0_2_2) = all_23_0_8 % 6.92/2.24 | % 6.92/2.24 | Instantiating formula (25) with all_0_1_1, all_0_4_4, all_0_5_5, all_23_1_9 and discharging atoms union(all_0_5_5, all_0_4_4) = all_0_1_1, member(all_23_1_9, all_0_1_1) = 0, yields: % 6.92/2.24 | (60) ? [v0] : ? [v1] : (member(all_23_1_9, all_0_4_4) = v1 & member(all_23_1_9, all_0_5_5) = v0 & (v1 = 0 | v0 = 0)) % 6.92/2.24 | % 6.92/2.24 | Instantiating formula (39) with all_0_1_1, all_23_0_8, all_0_2_2, all_0_3_3, all_23_1_9 and discharging atoms sum(all_0_3_3) = all_0_2_2, member(all_23_1_9, all_0_1_1) = 0, member(all_23_1_9, all_0_2_2) = all_23_0_8, yields: % 6.92/2.24 | (61) all_23_0_8 = 0 | ? [v0] : ( ~ (v0 = 0) & member(all_0_1_1, all_0_3_3) = v0) % 6.92/2.24 | % 6.92/2.24 | Instantiating (60) with all_38_0_10, all_38_1_11 yields: % 6.92/2.24 | (62) member(all_23_1_9, all_0_4_4) = all_38_0_10 & member(all_23_1_9, all_0_5_5) = all_38_1_11 & (all_38_0_10 = 0 | all_38_1_11 = 0) % 6.92/2.24 | % 6.92/2.24 | Applying alpha-rule on (62) yields: % 6.92/2.24 | (63) member(all_23_1_9, all_0_4_4) = all_38_0_10 % 6.92/2.24 | (64) member(all_23_1_9, all_0_5_5) = all_38_1_11 % 6.92/2.24 | (65) all_38_0_10 = 0 | all_38_1_11 = 0 % 6.92/2.24 | % 6.92/2.24 +-Applying beta-rule and splitting (61), into two cases. % 6.92/2.24 |-Branch one: % 6.92/2.24 | (66) all_23_0_8 = 0 % 6.92/2.24 | % 6.92/2.24 | Equations (66) can reduce 57 to: % 6.92/2.24 | (42) $false % 6.92/2.24 | % 6.92/2.24 |-The branch is then unsatisfiable % 6.92/2.24 |-Branch two: % 6.92/2.24 | (57) ~ (all_23_0_8 = 0) % 6.92/2.24 | (69) ? [v0] : ( ~ (v0 = 0) & member(all_0_1_1, all_0_3_3) = v0) % 6.92/2.24 | % 6.92/2.24 | Instantiating formula (39) with all_0_4_4, all_23_0_8, all_0_2_2, all_0_3_3, all_23_1_9 and discharging atoms sum(all_0_3_3) = all_0_2_2, member(all_23_1_9, all_0_2_2) = all_23_0_8, yields: % 6.92/2.24 | (70) all_23_0_8 = 0 | ~ (member(all_23_1_9, all_0_4_4) = 0) | ? [v0] : ( ~ (v0 = 0) & member(all_0_4_4, all_0_3_3) = v0) % 6.92/2.24 | % 6.92/2.24 | Instantiating formula (39) with all_0_5_5, all_23_0_8, all_0_2_2, all_0_3_3, all_23_1_9 and discharging atoms sum(all_0_3_3) = all_0_2_2, member(all_23_1_9, all_0_2_2) = all_23_0_8, yields: % 6.92/2.24 | (71) all_23_0_8 = 0 | ~ (member(all_23_1_9, all_0_5_5) = 0) | ? [v0] : ( ~ (v0 = 0) & member(all_0_5_5, all_0_3_3) = v0) % 6.92/2.24 | % 6.92/2.24 +-Applying beta-rule and splitting (65), into two cases. % 6.92/2.24 |-Branch one: % 6.92/2.24 | (72) all_38_0_10 = 0 % 6.92/2.24 | % 6.92/2.24 | From (72) and (63) follows: % 6.92/2.24 | (73) member(all_23_1_9, all_0_4_4) = 0 % 6.92/2.24 | % 6.92/2.24 +-Applying beta-rule and splitting (70), into two cases. % 6.92/2.24 |-Branch one: % 6.92/2.24 | (74) ~ (member(all_23_1_9, all_0_4_4) = 0) % 6.92/2.24 | % 6.92/2.24 | Using (73) and (74) yields: % 6.92/2.24 | (75) $false % 6.92/2.24 | % 6.92/2.24 |-The branch is then unsatisfiable % 6.92/2.24 |-Branch two: % 6.92/2.24 | (73) member(all_23_1_9, all_0_4_4) = 0 % 6.92/2.24 | (77) all_23_0_8 = 0 | ? [v0] : ( ~ (v0 = 0) & member(all_0_4_4, all_0_3_3) = v0) % 6.92/2.24 | % 6.92/2.24 +-Applying beta-rule and splitting (77), into two cases. % 6.92/2.24 |-Branch one: % 6.92/2.24 | (66) all_23_0_8 = 0 % 6.92/2.24 | % 6.92/2.24 | Equations (66) can reduce 57 to: % 6.92/2.24 | (42) $false % 6.92/2.24 | % 6.92/2.24 |-The branch is then unsatisfiable % 6.92/2.24 |-Branch two: % 6.92/2.24 | (57) ~ (all_23_0_8 = 0) % 6.92/2.24 | (81) ? [v0] : ( ~ (v0 = 0) & member(all_0_4_4, all_0_3_3) = v0) % 6.92/2.24 | % 6.92/2.24 | Instantiating (81) with all_102_0_13 yields: % 6.92/2.24 | (82) ~ (all_102_0_13 = 0) & member(all_0_4_4, all_0_3_3) = all_102_0_13 % 6.92/2.24 | % 6.92/2.24 | Applying alpha-rule on (82) yields: % 6.92/2.24 | (83) ~ (all_102_0_13 = 0) % 6.92/2.24 | (84) member(all_0_4_4, all_0_3_3) = all_102_0_13 % 6.92/2.24 | % 6.92/2.24 | Instantiating formula (13) with all_102_0_13, all_0_3_3, all_0_5_5, all_0_4_4 and discharging atoms unordered_pair(all_0_5_5, all_0_4_4) = all_0_3_3, member(all_0_4_4, all_0_3_3) = all_102_0_13, yields: % 6.92/2.24 | (85) all_102_0_13 = 0 % 6.92/2.24 | % 6.92/2.24 | Equations (85) can reduce 83 to: % 6.92/2.24 | (42) $false % 6.92/2.24 | % 6.92/2.24 |-The branch is then unsatisfiable % 6.92/2.24 |-Branch two: % 6.92/2.24 | (87) ~ (all_38_0_10 = 0) % 6.92/2.24 | (88) all_38_1_11 = 0 % 6.92/2.24 | % 6.92/2.24 | From (88) and (64) follows: % 6.92/2.24 | (89) member(all_23_1_9, all_0_5_5) = 0 % 6.92/2.24 | % 6.92/2.24 +-Applying beta-rule and splitting (71), into two cases. % 6.92/2.24 |-Branch one: % 6.92/2.24 | (90) ~ (member(all_23_1_9, all_0_5_5) = 0) % 6.92/2.24 | % 6.92/2.24 | Using (89) and (90) yields: % 6.92/2.24 | (75) $false % 6.92/2.24 | % 6.92/2.24 |-The branch is then unsatisfiable % 6.92/2.24 |-Branch two: % 6.92/2.24 | (89) member(all_23_1_9, all_0_5_5) = 0 % 6.92/2.24 | (93) all_23_0_8 = 0 | ? [v0] : ( ~ (v0 = 0) & member(all_0_5_5, all_0_3_3) = v0) % 6.92/2.25 | % 6.92/2.25 +-Applying beta-rule and splitting (93), into two cases. % 6.92/2.25 |-Branch one: % 6.92/2.25 | (66) all_23_0_8 = 0 % 6.92/2.25 | % 6.92/2.25 | Equations (66) can reduce 57 to: % 6.92/2.25 | (42) $false % 6.92/2.25 | % 6.92/2.25 |-The branch is then unsatisfiable % 6.92/2.25 |-Branch two: % 6.92/2.25 | (57) ~ (all_23_0_8 = 0) % 6.92/2.25 | (97) ? [v0] : ( ~ (v0 = 0) & member(all_0_5_5, all_0_3_3) = v0) % 6.92/2.25 | % 6.92/2.25 | Instantiating (97) with all_102_0_14 yields: % 6.92/2.25 | (98) ~ (all_102_0_14 = 0) & member(all_0_5_5, all_0_3_3) = all_102_0_14 % 6.92/2.25 | % 6.92/2.25 | Applying alpha-rule on (98) yields: % 6.92/2.25 | (99) ~ (all_102_0_14 = 0) % 6.92/2.25 | (100) member(all_0_5_5, all_0_3_3) = all_102_0_14 % 6.92/2.25 | % 6.92/2.25 | Instantiating formula (2) with all_102_0_14, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms unordered_pair(all_0_5_5, all_0_4_4) = all_0_3_3, member(all_0_5_5, all_0_3_3) = all_102_0_14, yields: % 6.92/2.25 | (101) all_102_0_14 = 0 % 6.92/2.25 | % 6.92/2.25 | Equations (101) can reduce 99 to: % 6.92/2.25 | (42) $false % 6.92/2.25 | % 6.92/2.25 |-The branch is then unsatisfiable % 6.92/2.25 |-Branch two: % 6.92/2.25 | (52) all_10_0_6 = 0 % 6.92/2.25 | (104) ~ (all_10_1_7 = 0) % 6.92/2.25 | % 6.92/2.25 +-Applying beta-rule and splitting (50), into two cases. % 6.92/2.25 |-Branch one: % 6.92/2.25 | (105) all_10_1_7 = 0 % 6.92/2.25 | % 6.92/2.25 | Equations (105) can reduce 104 to: % 6.92/2.25 | (42) $false % 6.92/2.25 | % 6.92/2.25 |-The branch is then unsatisfiable % 6.92/2.25 |-Branch two: % 6.92/2.25 | (104) ~ (all_10_1_7 = 0) % 6.92/2.25 | (108) ? [v0] : ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_1_1) = v1 & member(v0, all_0_2_2) = 0) % 6.92/2.25 | % 6.92/2.25 | Instantiating (108) with all_23_0_15, all_23_1_16 yields: % 6.92/2.25 | (109) ~ (all_23_0_15 = 0) & member(all_23_1_16, all_0_1_1) = all_23_0_15 & member(all_23_1_16, all_0_2_2) = 0 % 6.92/2.25 | % 6.92/2.25 | Applying alpha-rule on (109) yields: % 6.92/2.25 | (110) ~ (all_23_0_15 = 0) % 6.92/2.25 | (111) member(all_23_1_16, all_0_1_1) = all_23_0_15 % 6.92/2.25 | (112) member(all_23_1_16, all_0_2_2) = 0 % 6.92/2.25 | % 6.92/2.25 | Instantiating formula (9) with all_23_0_15, all_0_1_1, all_0_4_4, all_0_5_5, all_23_1_16 and discharging atoms union(all_0_5_5, all_0_4_4) = all_0_1_1, member(all_23_1_16, all_0_1_1) = all_23_0_15, yields: % 6.92/2.25 | (113) all_23_0_15 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & member(all_23_1_16, all_0_4_4) = v1 & member(all_23_1_16, all_0_5_5) = v0) % 6.92/2.25 | % 6.92/2.25 | Instantiating formula (18) with all_0_2_2, all_0_3_3, all_23_1_16 and discharging atoms sum(all_0_3_3) = all_0_2_2, member(all_23_1_16, all_0_2_2) = 0, yields: % 6.92/2.25 | (114) ? [v0] : (member(v0, all_0_3_3) = 0 & member(all_23_1_16, v0) = 0) % 6.92/2.25 | % 6.92/2.25 | Instantiating (114) with all_38_0_17 yields: % 6.92/2.25 | (115) member(all_38_0_17, all_0_3_3) = 0 & member(all_23_1_16, all_38_0_17) = 0 % 6.92/2.25 | % 6.92/2.25 | Applying alpha-rule on (115) yields: % 6.92/2.25 | (116) member(all_38_0_17, all_0_3_3) = 0 % 6.92/2.25 | (117) member(all_23_1_16, all_38_0_17) = 0 % 6.92/2.25 | % 6.92/2.25 +-Applying beta-rule and splitting (113), into two cases. % 6.92/2.25 |-Branch one: % 6.92/2.25 | (118) all_23_0_15 = 0 % 6.92/2.25 | % 6.92/2.25 | Equations (118) can reduce 110 to: % 6.92/2.25 | (42) $false % 6.92/2.25 | % 6.92/2.25 |-The branch is then unsatisfiable % 6.92/2.25 |-Branch two: % 6.92/2.25 | (110) ~ (all_23_0_15 = 0) % 6.92/2.25 | (121) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & member(all_23_1_16, all_0_4_4) = v1 & member(all_23_1_16, all_0_5_5) = v0) % 6.92/2.25 | % 6.92/2.25 | Instantiating (121) with all_44_0_18, all_44_1_19 yields: % 6.92/2.25 | (122) ~ (all_44_0_18 = 0) & ~ (all_44_1_19 = 0) & member(all_23_1_16, all_0_4_4) = all_44_0_18 & member(all_23_1_16, all_0_5_5) = all_44_1_19 % 6.92/2.25 | % 6.92/2.25 | Applying alpha-rule on (122) yields: % 6.92/2.25 | (123) ~ (all_44_0_18 = 0) % 6.92/2.25 | (124) ~ (all_44_1_19 = 0) % 6.92/2.25 | (125) member(all_23_1_16, all_0_4_4) = all_44_0_18 % 6.92/2.25 | (126) member(all_23_1_16, all_0_5_5) = all_44_1_19 % 6.92/2.25 | % 6.92/2.25 | Instantiating formula (32) with all_0_3_3, all_0_4_4, all_0_5_5, all_38_0_17 and discharging atoms unordered_pair(all_0_5_5, all_0_4_4) = all_0_3_3, member(all_38_0_17, all_0_3_3) = 0, yields: % 6.92/2.25 | (127) all_38_0_17 = all_0_4_4 | all_38_0_17 = all_0_5_5 % 6.92/2.25 | % 6.92/2.25 | Instantiating formula (3) with all_23_1_16, all_0_4_4, all_44_0_18, 0 and discharging atoms member(all_23_1_16, all_0_4_4) = all_44_0_18, yields: % 6.92/2.25 | (128) all_44_0_18 = 0 | ~ (member(all_23_1_16, all_0_4_4) = 0) % 6.92/2.25 | % 6.92/2.25 | Instantiating formula (3) with all_23_1_16, all_0_5_5, all_44_1_19, 0 and discharging atoms member(all_23_1_16, all_0_5_5) = all_44_1_19, yields: % 6.92/2.25 | (129) all_44_1_19 = 0 | ~ (member(all_23_1_16, all_0_5_5) = 0) % 6.92/2.25 | % 6.92/2.25 +-Applying beta-rule and splitting (128), into two cases. % 6.92/2.25 |-Branch one: % 6.92/2.25 | (130) ~ (member(all_23_1_16, all_0_4_4) = 0) % 6.92/2.25 | % 6.92/2.25 | Using (117) and (130) yields: % 6.92/2.25 | (131) ~ (all_38_0_17 = all_0_4_4) % 6.92/2.25 | % 6.92/2.25 +-Applying beta-rule and splitting (127), into two cases. % 6.92/2.25 |-Branch one: % 6.92/2.25 | (132) all_38_0_17 = all_0_4_4 % 6.92/2.25 | % 6.92/2.25 | Equations (132) can reduce 131 to: % 6.92/2.25 | (42) $false % 6.92/2.25 | % 6.92/2.25 |-The branch is then unsatisfiable % 6.92/2.25 |-Branch two: % 6.92/2.25 | (131) ~ (all_38_0_17 = all_0_4_4) % 6.92/2.25 | (135) all_38_0_17 = all_0_5_5 % 6.92/2.25 | % 6.92/2.25 | From (135) and (117) follows: % 6.92/2.25 | (136) member(all_23_1_16, all_0_5_5) = 0 % 6.92/2.25 | % 6.92/2.25 +-Applying beta-rule and splitting (129), into two cases. % 6.92/2.25 |-Branch one: % 6.92/2.25 | (137) ~ (member(all_23_1_16, all_0_5_5) = 0) % 6.92/2.25 | % 6.92/2.25 | Using (136) and (137) yields: % 6.92/2.25 | (75) $false % 6.92/2.25 | % 6.92/2.25 |-The branch is then unsatisfiable % 6.92/2.25 |-Branch two: % 6.92/2.25 | (136) member(all_23_1_16, all_0_5_5) = 0 % 6.92/2.25 | (140) all_44_1_19 = 0 % 6.92/2.25 | % 6.92/2.25 | Equations (140) can reduce 124 to: % 6.92/2.25 | (42) $false % 6.92/2.25 | % 6.92/2.25 |-The branch is then unsatisfiable % 6.92/2.25 |-Branch two: % 6.92/2.25 | (142) member(all_23_1_16, all_0_4_4) = 0 % 6.92/2.25 | (143) all_44_0_18 = 0 % 6.92/2.25 | % 6.92/2.25 | Equations (143) can reduce 123 to: % 6.92/2.25 | (42) $false % 6.92/2.25 | % 6.92/2.25 |-The branch is then unsatisfiable % 6.92/2.25 % SZS output end Proof for theBenchmark % 6.92/2.25 % 6.92/2.25 1635ms %------------------------------------------------------------------------------