%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET156+4 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n025.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 00:17:59 EDT 2022 % Result : Theorem 4.69s 1.83s % Output : Proof 7.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SET156+4 : TPTP v8.1.0. Released v2.2.0. % 0.08/0.14 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.36 % Computer : n025.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Sat Jul 9 21:21:31 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.62 ____ _ % 0.21/0.62 ___ / __ \_____(_)___ ________ __________ % 0.21/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.21/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.21/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.21/0.62 % 0.21/0.62 A Theorem Prover for First-Order Logic % 0.21/0.62 (ePrincess v.1.0) % 0.21/0.62 % 0.21/0.62 (c) Philipp Rümmer, 2009-2015 % 0.21/0.62 (c) Peter Backeman, 2014-2015 % 0.21/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.21/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.21/0.62 Bug reports to peter@backeman.se % 0.21/0.62 % 0.21/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.21/0.62 % 0.21/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.53/0.97 Prover 0: Preprocessing ... % 2.07/1.18 Prover 0: Warning: ignoring some quantifiers % 2.07/1.20 Prover 0: Constructing countermodel ... % 3.14/1.46 Prover 0: gave up % 3.14/1.46 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 3.14/1.48 Prover 1: Preprocessing ... % 3.60/1.59 Prover 1: Constructing countermodel ... % 4.69/1.83 Prover 1: proved (368ms) % 4.69/1.83 % 4.69/1.83 No countermodel exists, formula is valid % 4.69/1.83 % SZS status Theorem for theBenchmark % 4.69/1.83 % 4.69/1.83 Generating proof ... found it (size 167) % 7.36/2.42 % 7.36/2.42 % SZS output start Proof for theBenchmark % 7.36/2.42 Assumed formulas after preprocessing and simplification: % 7.36/2.42 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & difference(v2, v3) = v4 & difference(v2, v1) = v6 & difference(v2, v0) = v5 & union(v5, v6) = v7 & intersection(v0, v1) = v3 & equal_set(v4, v7) = v8 & subset(v1, v2) = 0 & subset(v0, v2) = 0 & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (product(v10) = v11) | ~ (member(v9, v12) = v13) | ~ (member(v9, v11) = 0) | ? [v14] : ( ~ (v14 = 0) & member(v12, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (difference(v11, v10) = v12) | ~ (member(v9, v12) = v13) | ? [v14] : ? [v15] : (member(v9, v11) = v14 & member(v9, v10) = v15 & ( ~ (v14 = 0) | v15 = 0))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (union(v10, v11) = v12) | ~ (member(v9, v12) = v13) | ? [v14] : ? [v15] : ( ~ (v15 = 0) & ~ (v14 = 0) & member(v9, v11) = v15 & member(v9, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (intersection(v10, v11) = v12) | ~ (member(v9, v12) = v13) | ? [v14] : ? [v15] : (member(v9, v11) = v15 & member(v9, v10) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (sum(v10) = v11) | ~ (member(v9, v13) = 0) | ~ (member(v9, v11) = v12) | ? [v14] : ( ~ (v14 = 0) & member(v13, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (product(v10) = v11) | ~ (member(v9, v11) = v12) | ? [v13] : ? [v14] : ( ~ (v14 = 0) & member(v13, v10) = 0 & member(v9, v13) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (unordered_pair(v10, v9) = v11) | ~ (member(v9, v11) = v12)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (unordered_pair(v9, v10) = v11) | ~ (member(v9, v11) = v12)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (power_set(v10) = v11) | ~ (member(v9, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & subset(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = v9 | v10 = v9 | ~ (unordered_pair(v10, v11) = v12) | ~ (member(v9, v12) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (unordered_pair(v12, v11) = v10) | ~ (unordered_pair(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (difference(v12, v11) = v10) | ~ (difference(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (union(v12, v11) = v10) | ~ (union(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (intersection(v12, v11) = v10) | ~ (intersection(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (equal_set(v12, v11) = v10) | ~ (equal_set(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (subset(v12, v11) = v10) | ~ (subset(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (member(v12, v11) = v10) | ~ (member(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (difference(v11, v10) = v12) | ~ (member(v9, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & member(v9, v11) = 0 & member(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (union(v10, v11) = v12) | ~ (member(v9, v12) = 0) | ? [v13] : ? [v14] : (member(v9, v11) = v14 & member(v9, v10) = v13 & (v14 = 0 | v13 = 0))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (intersection(v10, v11) = v12) | ~ (member(v9, v12) = 0) | (member(v9, v11) = 0 & member(v9, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (singleton(v9) = v10) | ~ (member(v9, v10) = v11)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (equal_set(v9, v10) = v11) | ? [v12] : ? [v13] : (subset(v10, v9) = v13 & subset(v9, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (subset(v9, v10) = v11) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & member(v12, v10) = v13 & member(v12, v9) = 0)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (product(v11) = v10) | ~ (product(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (sum(v11) = v10) | ~ (sum(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (singleton(v11) = v10) | ~ (singleton(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (singleton(v10) = v11) | ~ (member(v9, v11) = 0)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (power_set(v11) = v10) | ~ (power_set(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sum(v10) = v11) | ~ (member(v9, v11) = 0) | ? [v12] : (member(v12, v10) = 0 & member(v9, v12) = 0)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (power_set(v10) = v11) | ~ (member(v9, v11) = 0) | subset(v9, v10) = 0) & ! [v9] : ! [v10] : ! [v11] : ( ~ (subset(v9, v10) = 0) | ~ (member(v11, v9) = 0) | member(v11, v10) = 0) & ! [v9] : ! [v10] : ( ~ (equal_set(v9, v10) = 0) | (subset(v10, v9) = 0 & subset(v9, v10) = 0)) & ! [v9] : ~ (member(v9, empty_set) = 0)) % 7.36/2.46 | 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 yields: % 7.36/2.46 | (1) ~ (all_0_0_0 = 0) & difference(all_0_6_6, all_0_5_5) = all_0_4_4 & difference(all_0_6_6, all_0_7_7) = all_0_2_2 & difference(all_0_6_6, all_0_8_8) = all_0_3_3 & union(all_0_3_3, all_0_2_2) = all_0_1_1 & intersection(all_0_8_8, all_0_7_7) = all_0_5_5 & equal_set(all_0_4_4, all_0_1_1) = all_0_0_0 & subset(all_0_7_7, all_0_6_6) = 0 & subset(all_0_8_8, all_0_6_6) = 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) % 7.36/2.47 | % 7.36/2.47 | Applying alpha-rule on (1) yields: % 7.36/2.47 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) % 7.36/2.47 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) % 7.36/2.47 | (4) difference(all_0_6_6, all_0_7_7) = all_0_2_2 % 7.36/2.47 | (5) difference(all_0_6_6, all_0_5_5) = all_0_4_4 % 7.36/2.47 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0)) % 7.36/2.47 | (7) ! [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))) % 7.36/2.47 | (8) ! [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)) % 7.36/2.47 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) % 7.36/2.47 | (10) subset(all_0_8_8, all_0_6_6) = 0 % 7.36/2.47 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0)) % 7.36/2.48 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0)) % 7.36/2.48 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3)) % 7.36/2.48 | (14) ! [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)) % 7.36/2.48 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0)) % 7.36/2.48 | (16) ! [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)) % 7.36/2.48 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0)) % 7.36/2.48 | (18) union(all_0_3_3, all_0_2_2) = all_0_1_1 % 7.36/2.48 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) % 7.36/2.48 | (20) difference(all_0_6_6, all_0_8_8) = all_0_3_3 % 7.36/2.48 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : ? [v4] : (subset(v1, v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 7.36/2.48 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) % 7.36/2.48 | (23) ~ (all_0_0_0 = 0) % 7.36/2.48 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0) % 7.36/2.48 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0)) % 7.36/2.48 | (26) intersection(all_0_8_8, all_0_7_7) = all_0_5_5 % 7.36/2.48 | (27) subset(all_0_7_7, all_0_6_6) = 0 % 7.36/2.48 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3)) % 7.36/2.48 | (29) ! [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)))) % 7.36/2.48 | (30) ! [v0] : ~ (member(v0, empty_set) = 0) % 7.36/2.48 | (31) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) % 7.36/2.48 | (32) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2)) % 7.36/2.48 | (33) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0)) % 7.36/2.48 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) % 7.36/2.48 | (35) ! [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)) % 7.36/2.48 | (36) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0)) % 7.36/2.48 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) % 7.36/2.48 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4)) % 7.36/2.49 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0)) % 7.36/2.49 | (40) equal_set(all_0_4_4, all_0_1_1) = all_0_0_0 % 7.36/2.49 | (41) ! [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))) % 7.36/2.49 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) % 7.36/2.49 | (43) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0)) % 7.36/2.49 | % 7.36/2.49 | Instantiating formula (21) with all_0_0_0, all_0_1_1, all_0_4_4 and discharging atoms equal_set(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 7.36/2.49 | (44) all_0_0_0 = 0 | ? [v0] : ? [v1] : (subset(all_0_1_1, all_0_4_4) = v1 & subset(all_0_4_4, all_0_1_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 7.36/2.49 | % 7.36/2.49 +-Applying beta-rule and splitting (44), into two cases. % 7.36/2.49 |-Branch one: % 7.36/2.49 | (45) all_0_0_0 = 0 % 7.36/2.49 | % 7.36/2.49 | Equations (45) can reduce 23 to: % 7.36/2.49 | (46) $false % 7.36/2.49 | % 7.36/2.49 |-The branch is then unsatisfiable % 7.36/2.49 |-Branch two: % 7.36/2.49 | (23) ~ (all_0_0_0 = 0) % 7.36/2.49 | (48) ? [v0] : ? [v1] : (subset(all_0_1_1, all_0_4_4) = v1 & subset(all_0_4_4, all_0_1_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 7.36/2.49 | % 7.36/2.49 | Instantiating (48) with all_14_0_9, all_14_1_10 yields: % 7.36/2.49 | (49) subset(all_0_1_1, all_0_4_4) = all_14_0_9 & subset(all_0_4_4, all_0_1_1) = all_14_1_10 & ( ~ (all_14_0_9 = 0) | ~ (all_14_1_10 = 0)) % 7.36/2.49 | % 7.36/2.49 | Applying alpha-rule on (49) yields: % 7.36/2.49 | (50) subset(all_0_1_1, all_0_4_4) = all_14_0_9 % 7.36/2.49 | (51) subset(all_0_4_4, all_0_1_1) = all_14_1_10 % 7.36/2.49 | (52) ~ (all_14_0_9 = 0) | ~ (all_14_1_10 = 0) % 7.36/2.49 | % 7.36/2.49 | Instantiating formula (33) with all_14_0_9, all_0_4_4, all_0_1_1 and discharging atoms subset(all_0_1_1, all_0_4_4) = all_14_0_9, yields: % 7.36/2.49 | (53) all_14_0_9 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_1_1) = 0 & member(v0, all_0_4_4) = v1) % 7.36/2.49 | % 7.36/2.49 | Instantiating formula (33) with all_14_1_10, all_0_1_1, all_0_4_4 and discharging atoms subset(all_0_4_4, all_0_1_1) = all_14_1_10, yields: % 7.36/2.49 | (54) all_14_1_10 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_1_1) = v1 & member(v0, all_0_4_4) = 0) % 7.36/2.49 | % 7.36/2.49 +-Applying beta-rule and splitting (52), into two cases. % 7.36/2.49 |-Branch one: % 7.36/2.49 | (55) ~ (all_14_0_9 = 0) % 7.36/2.49 | % 7.36/2.49 +-Applying beta-rule and splitting (53), into two cases. % 7.36/2.49 |-Branch one: % 7.36/2.49 | (56) all_14_0_9 = 0 % 7.36/2.49 | % 7.36/2.49 | Equations (56) can reduce 55 to: % 7.36/2.49 | (46) $false % 7.36/2.49 | % 7.36/2.49 |-The branch is then unsatisfiable % 7.36/2.49 |-Branch two: % 7.36/2.49 | (55) ~ (all_14_0_9 = 0) % 7.36/2.49 | (59) ? [v0] : ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_1_1) = 0 & member(v0, all_0_4_4) = v1) % 7.36/2.49 | % 7.36/2.49 | Instantiating (59) with all_53_0_11, all_53_1_12 yields: % 7.36/2.49 | (60) ~ (all_53_0_11 = 0) & member(all_53_1_12, all_0_1_1) = 0 & member(all_53_1_12, all_0_4_4) = all_53_0_11 % 7.36/2.49 | % 7.36/2.49 | Applying alpha-rule on (60) yields: % 7.36/2.49 | (61) ~ (all_53_0_11 = 0) % 7.36/2.49 | (62) member(all_53_1_12, all_0_1_1) = 0 % 7.36/2.49 | (63) member(all_53_1_12, all_0_4_4) = all_53_0_11 % 7.36/2.49 | % 7.36/2.49 | Instantiating formula (38) with all_0_2_2, all_0_6_6, all_0_7_7, all_53_1_12 and discharging atoms difference(all_0_6_6, all_0_7_7) = all_0_2_2, yields: % 7.36/2.49 | (64) ~ (member(all_53_1_12, all_0_2_2) = 0) | ? [v0] : ( ~ (v0 = 0) & member(all_53_1_12, all_0_6_6) = 0 & member(all_53_1_12, all_0_7_7) = v0) % 7.36/2.50 | % 7.36/2.50 | Instantiating formula (38) with all_0_3_3, all_0_6_6, all_0_8_8, all_53_1_12 and discharging atoms difference(all_0_6_6, all_0_8_8) = all_0_3_3, yields: % 7.36/2.50 | (65) ~ (member(all_53_1_12, all_0_3_3) = 0) | ? [v0] : ( ~ (v0 = 0) & member(all_53_1_12, all_0_6_6) = 0 & member(all_53_1_12, all_0_8_8) = v0) % 7.36/2.50 | % 7.36/2.50 | Instantiating formula (7) with all_0_1_1, all_0_2_2, all_0_3_3, all_53_1_12 and discharging atoms union(all_0_3_3, all_0_2_2) = all_0_1_1, member(all_53_1_12, all_0_1_1) = 0, yields: % 7.36/2.50 | (66) ? [v0] : ? [v1] : (member(all_53_1_12, all_0_2_2) = v1 & member(all_53_1_12, all_0_3_3) = v0 & (v1 = 0 | v0 = 0)) % 7.36/2.50 | % 7.36/2.50 | Instantiating formula (17) with all_0_5_5, all_0_7_7, all_0_8_8, all_53_1_12 and discharging atoms intersection(all_0_8_8, all_0_7_7) = all_0_5_5, yields: % 7.36/2.50 | (67) ~ (member(all_53_1_12, all_0_5_5) = 0) | (member(all_53_1_12, all_0_7_7) = 0 & member(all_53_1_12, all_0_8_8) = 0) % 7.36/2.50 | % 7.36/2.50 | Instantiating formula (31) with all_53_1_12, all_0_6_6, all_0_7_7 and discharging atoms subset(all_0_7_7, all_0_6_6) = 0, yields: % 7.36/2.50 | (68) ~ (member(all_53_1_12, all_0_7_7) = 0) | member(all_53_1_12, all_0_6_6) = 0 % 7.36/2.50 | % 7.36/2.50 | Instantiating formula (41) with all_53_0_11, all_0_4_4, all_0_6_6, all_0_5_5, all_53_1_12 and discharging atoms difference(all_0_6_6, all_0_5_5) = all_0_4_4, member(all_53_1_12, all_0_4_4) = all_53_0_11, yields: % 7.36/2.50 | (69) all_53_0_11 = 0 | ? [v0] : ? [v1] : (member(all_53_1_12, all_0_5_5) = v1 & member(all_53_1_12, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 7.36/2.50 | % 7.36/2.50 | Instantiating (66) with all_68_0_13, all_68_1_14 yields: % 7.36/2.50 | (70) member(all_53_1_12, all_0_2_2) = all_68_0_13 & member(all_53_1_12, all_0_3_3) = all_68_1_14 & (all_68_0_13 = 0 | all_68_1_14 = 0) % 7.36/2.50 | % 7.36/2.50 | Applying alpha-rule on (70) yields: % 7.36/2.50 | (71) member(all_53_1_12, all_0_2_2) = all_68_0_13 % 7.36/2.50 | (72) member(all_53_1_12, all_0_3_3) = all_68_1_14 % 7.36/2.50 | (73) all_68_0_13 = 0 | all_68_1_14 = 0 % 7.36/2.50 | % 7.36/2.50 +-Applying beta-rule and splitting (69), into two cases. % 7.36/2.50 |-Branch one: % 7.36/2.50 | (74) all_53_0_11 = 0 % 7.36/2.50 | % 7.36/2.50 | Equations (74) can reduce 61 to: % 7.36/2.50 | (46) $false % 7.36/2.50 | % 7.36/2.50 |-The branch is then unsatisfiable % 7.36/2.50 |-Branch two: % 7.36/2.50 | (61) ~ (all_53_0_11 = 0) % 7.36/2.50 | (77) ? [v0] : ? [v1] : (member(all_53_1_12, all_0_5_5) = v1 & member(all_53_1_12, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 7.36/2.50 | % 7.36/2.50 | Instantiating (77) with all_74_0_15, all_74_1_16 yields: % 7.36/2.50 | (78) member(all_53_1_12, all_0_5_5) = all_74_0_15 & member(all_53_1_12, all_0_6_6) = all_74_1_16 & ( ~ (all_74_1_16 = 0) | all_74_0_15 = 0) % 7.36/2.50 | % 7.36/2.50 | Applying alpha-rule on (78) yields: % 7.36/2.50 | (79) member(all_53_1_12, all_0_5_5) = all_74_0_15 % 7.36/2.50 | (80) member(all_53_1_12, all_0_6_6) = all_74_1_16 % 7.36/2.50 | (81) ~ (all_74_1_16 = 0) | all_74_0_15 = 0 % 7.36/2.50 | % 7.36/2.50 | Instantiating formula (34) with all_53_1_12, all_0_3_3, all_68_1_14, 0 and discharging atoms member(all_53_1_12, all_0_3_3) = all_68_1_14, yields: % 7.36/2.50 | (82) all_68_1_14 = 0 | ~ (member(all_53_1_12, all_0_3_3) = 0) % 7.36/2.50 | % 7.36/2.50 | Instantiating formula (34) with all_53_1_12, all_0_6_6, all_74_1_16, 0 and discharging atoms member(all_53_1_12, all_0_6_6) = all_74_1_16, yields: % 7.36/2.50 | (83) all_74_1_16 = 0 | ~ (member(all_53_1_12, all_0_6_6) = 0) % 7.36/2.50 | % 7.36/2.50 | Instantiating formula (34) with all_53_1_12, all_0_6_6, all_74_1_16, all_68_1_14 and discharging atoms member(all_53_1_12, all_0_6_6) = all_74_1_16, yields: % 7.36/2.50 | (84) all_74_1_16 = all_68_1_14 | ~ (member(all_53_1_12, all_0_6_6) = all_68_1_14) % 7.36/2.50 | % 7.36/2.50 +-Applying beta-rule and splitting (68), into two cases. % 7.36/2.50 |-Branch one: % 7.36/2.50 | (85) ~ (member(all_53_1_12, all_0_7_7) = 0) % 7.36/2.50 | % 7.36/2.50 +-Applying beta-rule and splitting (67), into two cases. % 7.36/2.50 |-Branch one: % 7.36/2.50 | (86) ~ (member(all_53_1_12, all_0_5_5) = 0) % 7.36/2.50 | % 7.36/2.50 | Using (79) and (86) yields: % 7.36/2.50 | (87) ~ (all_74_0_15 = 0) % 7.36/2.50 | % 7.36/2.50 +-Applying beta-rule and splitting (81), into two cases. % 7.36/2.50 |-Branch one: % 7.36/2.50 | (88) ~ (all_74_1_16 = 0) % 7.36/2.50 | % 7.36/2.50 +-Applying beta-rule and splitting (65), into two cases. % 7.36/2.50 |-Branch one: % 7.36/2.50 | (89) ~ (member(all_53_1_12, all_0_3_3) = 0) % 7.36/2.50 | % 7.36/2.50 +-Applying beta-rule and splitting (64), into two cases. % 7.36/2.50 |-Branch one: % 7.36/2.50 | (90) ~ (member(all_53_1_12, all_0_2_2) = 0) % 7.36/2.50 | % 7.36/2.50 | Using (71) and (90) yields: % 7.36/2.50 | (91) ~ (all_68_0_13 = 0) % 7.36/2.50 | % 7.36/2.50 | Using (72) and (89) yields: % 7.36/2.50 | (92) ~ (all_68_1_14 = 0) % 7.36/2.50 | % 7.36/2.50 +-Applying beta-rule and splitting (73), into two cases. % 7.36/2.50 |-Branch one: % 7.36/2.50 | (93) all_68_0_13 = 0 % 7.36/2.50 | % 7.36/2.50 | Equations (93) can reduce 91 to: % 7.36/2.50 | (46) $false % 7.36/2.50 | % 7.36/2.50 |-The branch is then unsatisfiable % 7.36/2.50 |-Branch two: % 7.36/2.50 | (91) ~ (all_68_0_13 = 0) % 7.36/2.50 | (96) all_68_1_14 = 0 % 7.36/2.50 | % 7.36/2.50 | Equations (96) can reduce 92 to: % 7.36/2.50 | (46) $false % 7.36/2.50 | % 7.36/2.50 |-The branch is then unsatisfiable % 7.74/2.50 |-Branch two: % 7.74/2.50 | (98) member(all_53_1_12, all_0_2_2) = 0 % 7.74/2.51 | (99) ? [v0] : ( ~ (v0 = 0) & member(all_53_1_12, all_0_6_6) = 0 & member(all_53_1_12, all_0_7_7) = v0) % 7.74/2.51 | % 7.74/2.51 | Instantiating (99) with all_130_0_19 yields: % 7.74/2.51 | (100) ~ (all_130_0_19 = 0) & member(all_53_1_12, all_0_6_6) = 0 & member(all_53_1_12, all_0_7_7) = all_130_0_19 % 7.74/2.51 | % 7.74/2.51 | Applying alpha-rule on (100) yields: % 7.74/2.51 | (101) ~ (all_130_0_19 = 0) % 7.74/2.51 | (102) member(all_53_1_12, all_0_6_6) = 0 % 7.74/2.51 | (103) member(all_53_1_12, all_0_7_7) = all_130_0_19 % 7.74/2.51 | % 7.74/2.51 +-Applying beta-rule and splitting (83), into two cases. % 7.74/2.51 |-Branch one: % 7.74/2.51 | (104) ~ (member(all_53_1_12, all_0_6_6) = 0) % 7.74/2.51 | % 7.74/2.51 | Using (102) and (104) yields: % 7.74/2.51 | (105) $false % 7.74/2.51 | % 7.74/2.51 |-The branch is then unsatisfiable % 7.74/2.51 |-Branch two: % 7.74/2.51 | (102) member(all_53_1_12, all_0_6_6) = 0 % 7.74/2.51 | (107) all_74_1_16 = 0 % 7.74/2.51 | % 7.74/2.51 | Equations (107) can reduce 88 to: % 7.74/2.51 | (46) $false % 7.74/2.51 | % 7.74/2.51 |-The branch is then unsatisfiable % 7.74/2.51 |-Branch two: % 7.74/2.51 | (109) member(all_53_1_12, all_0_3_3) = 0 % 7.74/2.51 | (110) ? [v0] : ( ~ (v0 = 0) & member(all_53_1_12, all_0_6_6) = 0 & member(all_53_1_12, all_0_8_8) = v0) % 7.74/2.51 | % 7.74/2.51 | Instantiating (110) with all_122_0_20 yields: % 7.74/2.51 | (111) ~ (all_122_0_20 = 0) & member(all_53_1_12, all_0_6_6) = 0 & member(all_53_1_12, all_0_8_8) = all_122_0_20 % 7.74/2.51 | % 7.74/2.51 | Applying alpha-rule on (111) yields: % 7.74/2.51 | (112) ~ (all_122_0_20 = 0) % 7.74/2.51 | (102) member(all_53_1_12, all_0_6_6) = 0 % 7.74/2.51 | (114) member(all_53_1_12, all_0_8_8) = all_122_0_20 % 7.74/2.51 | % 7.74/2.51 +-Applying beta-rule and splitting (82), into two cases. % 7.74/2.51 |-Branch one: % 7.74/2.51 | (89) ~ (member(all_53_1_12, all_0_3_3) = 0) % 7.74/2.51 | % 7.74/2.51 | Using (109) and (89) yields: % 7.74/2.51 | (105) $false % 7.74/2.51 | % 7.74/2.51 |-The branch is then unsatisfiable % 7.74/2.51 |-Branch two: % 7.74/2.51 | (109) member(all_53_1_12, all_0_3_3) = 0 % 7.74/2.51 | (96) all_68_1_14 = 0 % 7.74/2.51 | % 7.74/2.51 +-Applying beta-rule and splitting (84), into two cases. % 7.74/2.51 |-Branch one: % 7.74/2.51 | (119) ~ (member(all_53_1_12, all_0_6_6) = all_68_1_14) % 7.74/2.51 | % 7.74/2.51 | From (96) and (119) follows: % 7.74/2.51 | (104) ~ (member(all_53_1_12, all_0_6_6) = 0) % 7.74/2.51 | % 7.74/2.51 | Using (102) and (104) yields: % 7.74/2.51 | (105) $false % 7.74/2.51 | % 7.74/2.51 |-The branch is then unsatisfiable % 7.74/2.51 |-Branch two: % 7.74/2.51 | (122) member(all_53_1_12, all_0_6_6) = all_68_1_14 % 7.74/2.51 | (123) all_74_1_16 = all_68_1_14 % 7.74/2.51 | % 7.74/2.51 | Combining equations (96,123) yields a new equation: % 7.74/2.51 | (107) all_74_1_16 = 0 % 7.74/2.51 | % 7.74/2.51 | Equations (107) can reduce 88 to: % 7.74/2.51 | (46) $false % 7.74/2.51 | % 7.74/2.51 |-The branch is then unsatisfiable % 7.74/2.51 |-Branch two: % 7.74/2.51 | (107) all_74_1_16 = 0 % 7.74/2.51 | (127) all_74_0_15 = 0 % 7.74/2.51 | % 7.74/2.51 | Equations (127) can reduce 87 to: % 7.74/2.51 | (46) $false % 7.74/2.51 | % 7.74/2.51 |-The branch is then unsatisfiable % 7.74/2.51 |-Branch two: % 7.74/2.51 | (129) member(all_53_1_12, all_0_5_5) = 0 % 7.74/2.51 | (130) member(all_53_1_12, all_0_7_7) = 0 & member(all_53_1_12, all_0_8_8) = 0 % 7.74/2.51 | % 7.74/2.51 | Applying alpha-rule on (130) yields: % 7.74/2.51 | (131) member(all_53_1_12, all_0_7_7) = 0 % 7.74/2.51 | (132) member(all_53_1_12, all_0_8_8) = 0 % 7.74/2.51 | % 7.74/2.51 | Using (131) and (85) yields: % 7.74/2.51 | (105) $false % 7.74/2.51 | % 7.74/2.51 |-The branch is then unsatisfiable % 7.74/2.52 |-Branch two: % 7.74/2.52 | (131) member(all_53_1_12, all_0_7_7) = 0 % 7.74/2.52 | (102) member(all_53_1_12, all_0_6_6) = 0 % 7.74/2.52 | % 7.74/2.52 +-Applying beta-rule and splitting (64), into two cases. % 7.74/2.52 |-Branch one: % 7.74/2.52 | (90) ~ (member(all_53_1_12, all_0_2_2) = 0) % 7.74/2.52 | % 7.74/2.52 +-Applying beta-rule and splitting (83), into two cases. % 7.74/2.52 |-Branch one: % 7.74/2.52 | (104) ~ (member(all_53_1_12, all_0_6_6) = 0) % 7.74/2.52 | % 7.74/2.52 | Using (102) and (104) yields: % 7.74/2.52 | (105) $false % 7.74/2.52 | % 7.74/2.52 |-The branch is then unsatisfiable % 7.74/2.52 |-Branch two: % 7.74/2.52 | (102) member(all_53_1_12, all_0_6_6) = 0 % 7.74/2.52 | (107) all_74_1_16 = 0 % 7.74/2.52 | % 7.74/2.52 +-Applying beta-rule and splitting (81), into two cases. % 7.74/2.52 |-Branch one: % 7.74/2.52 | (88) ~ (all_74_1_16 = 0) % 7.74/2.52 | % 7.74/2.52 | Equations (107) can reduce 88 to: % 7.74/2.52 | (46) $false % 7.74/2.52 | % 7.74/2.52 |-The branch is then unsatisfiable % 7.74/2.52 |-Branch two: % 7.74/2.52 | (107) all_74_1_16 = 0 % 7.74/2.52 | (127) all_74_0_15 = 0 % 7.74/2.52 | % 7.74/2.52 | From (127) and (79) follows: % 7.74/2.52 | (129) member(all_53_1_12, all_0_5_5) = 0 % 7.74/2.52 | % 7.74/2.52 +-Applying beta-rule and splitting (67), into two cases. % 7.74/2.52 |-Branch one: % 7.74/2.52 | (86) ~ (member(all_53_1_12, all_0_5_5) = 0) % 7.74/2.52 | % 7.74/2.52 | Using (129) and (86) yields: % 7.74/2.52 | (105) $false % 7.74/2.52 | % 7.74/2.52 |-The branch is then unsatisfiable % 7.74/2.52 |-Branch two: % 7.74/2.52 | (129) member(all_53_1_12, all_0_5_5) = 0 % 7.74/2.52 | (130) member(all_53_1_12, all_0_7_7) = 0 & member(all_53_1_12, all_0_8_8) = 0 % 7.74/2.52 | % 7.74/2.52 | Applying alpha-rule on (130) yields: % 7.74/2.52 | (131) member(all_53_1_12, all_0_7_7) = 0 % 7.74/2.52 | (132) member(all_53_1_12, all_0_8_8) = 0 % 7.74/2.52 | % 7.74/2.52 +-Applying beta-rule and splitting (65), into two cases. % 7.74/2.52 |-Branch one: % 7.74/2.52 | (89) ~ (member(all_53_1_12, all_0_3_3) = 0) % 7.74/2.52 | % 7.74/2.52 | Using (71) and (90) yields: % 7.74/2.52 | (91) ~ (all_68_0_13 = 0) % 7.74/2.52 | % 7.74/2.52 | Using (72) and (89) yields: % 7.74/2.52 | (92) ~ (all_68_1_14 = 0) % 7.74/2.52 | % 7.74/2.52 +-Applying beta-rule and splitting (73), into two cases. % 7.74/2.52 |-Branch one: % 7.74/2.52 | (93) all_68_0_13 = 0 % 7.74/2.52 | % 7.74/2.52 | Equations (93) can reduce 91 to: % 7.74/2.52 | (46) $false % 7.74/2.52 | % 7.74/2.52 |-The branch is then unsatisfiable % 7.74/2.52 |-Branch two: % 7.74/2.52 | (91) ~ (all_68_0_13 = 0) % 7.74/2.52 | (96) all_68_1_14 = 0 % 7.74/2.52 | % 7.74/2.52 | Equations (96) can reduce 92 to: % 7.74/2.52 | (46) $false % 7.74/2.52 | % 7.74/2.52 |-The branch is then unsatisfiable % 7.74/2.52 |-Branch two: % 7.74/2.52 | (109) member(all_53_1_12, all_0_3_3) = 0 % 7.74/2.52 | (110) ? [v0] : ( ~ (v0 = 0) & member(all_53_1_12, all_0_6_6) = 0 & member(all_53_1_12, all_0_8_8) = v0) % 7.74/2.52 | % 7.74/2.52 | Instantiating (110) with all_121_0_21 yields: % 7.74/2.52 | (162) ~ (all_121_0_21 = 0) & member(all_53_1_12, all_0_6_6) = 0 & member(all_53_1_12, all_0_8_8) = all_121_0_21 % 7.74/2.53 | % 7.74/2.53 | Applying alpha-rule on (162) yields: % 7.74/2.53 | (163) ~ (all_121_0_21 = 0) % 7.74/2.53 | (102) member(all_53_1_12, all_0_6_6) = 0 % 7.74/2.53 | (165) member(all_53_1_12, all_0_8_8) = all_121_0_21 % 7.74/2.53 | % 7.74/2.53 | Instantiating formula (34) with all_53_1_12, all_0_8_8, all_121_0_21, 0 and discharging atoms member(all_53_1_12, all_0_8_8) = all_121_0_21, member(all_53_1_12, all_0_8_8) = 0, yields: % 7.74/2.53 | (166) all_121_0_21 = 0 % 7.74/2.53 | % 7.74/2.53 | Equations (166) can reduce 163 to: % 7.74/2.53 | (46) $false % 7.74/2.53 | % 7.74/2.53 |-The branch is then unsatisfiable % 7.74/2.53 |-Branch two: % 7.74/2.53 | (98) member(all_53_1_12, all_0_2_2) = 0 % 7.74/2.53 | (99) ? [v0] : ( ~ (v0 = 0) & member(all_53_1_12, all_0_6_6) = 0 & member(all_53_1_12, all_0_7_7) = v0) % 7.74/2.53 | % 7.74/2.53 | Instantiating (99) with all_105_0_22 yields: % 7.74/2.53 | (170) ~ (all_105_0_22 = 0) & member(all_53_1_12, all_0_6_6) = 0 & member(all_53_1_12, all_0_7_7) = all_105_0_22 % 7.74/2.53 | % 7.74/2.53 | Applying alpha-rule on (170) yields: % 7.74/2.53 | (171) ~ (all_105_0_22 = 0) % 7.74/2.53 | (102) member(all_53_1_12, all_0_6_6) = 0 % 7.74/2.53 | (173) member(all_53_1_12, all_0_7_7) = all_105_0_22 % 7.74/2.53 | % 7.74/2.53 +-Applying beta-rule and splitting (83), into two cases. % 7.74/2.53 |-Branch one: % 7.74/2.53 | (104) ~ (member(all_53_1_12, all_0_6_6) = 0) % 7.74/2.53 | % 7.74/2.53 | Using (102) and (104) yields: % 7.74/2.53 | (105) $false % 7.74/2.53 | % 7.74/2.53 |-The branch is then unsatisfiable % 7.74/2.53 |-Branch two: % 7.74/2.53 | (102) member(all_53_1_12, all_0_6_6) = 0 % 7.74/2.53 | (107) all_74_1_16 = 0 % 7.74/2.53 | % 7.74/2.53 +-Applying beta-rule and splitting (81), into two cases. % 7.74/2.53 |-Branch one: % 7.74/2.53 | (88) ~ (all_74_1_16 = 0) % 7.74/2.53 | % 7.74/2.53 | Equations (107) can reduce 88 to: % 7.74/2.53 | (46) $false % 7.74/2.53 | % 7.74/2.53 |-The branch is then unsatisfiable % 7.74/2.53 |-Branch two: % 7.74/2.53 | (107) all_74_1_16 = 0 % 7.74/2.53 | (127) all_74_0_15 = 0 % 7.74/2.53 | % 7.74/2.53 | From (127) and (79) follows: % 7.74/2.53 | (129) member(all_53_1_12, all_0_5_5) = 0 % 7.74/2.53 | % 7.74/2.53 +-Applying beta-rule and splitting (67), into two cases. % 7.74/2.53 |-Branch one: % 7.74/2.53 | (86) ~ (member(all_53_1_12, all_0_5_5) = 0) % 7.74/2.53 | % 7.74/2.53 | Using (129) and (86) yields: % 7.74/2.53 | (105) $false % 7.74/2.53 | % 7.74/2.53 |-The branch is then unsatisfiable % 7.74/2.53 |-Branch two: % 7.74/2.53 | (129) member(all_53_1_12, all_0_5_5) = 0 % 7.74/2.53 | (130) member(all_53_1_12, all_0_7_7) = 0 & member(all_53_1_12, all_0_8_8) = 0 % 7.74/2.53 | % 7.74/2.53 | Applying alpha-rule on (130) yields: % 7.74/2.53 | (131) member(all_53_1_12, all_0_7_7) = 0 % 7.74/2.53 | (132) member(all_53_1_12, all_0_8_8) = 0 % 7.74/2.53 | % 7.74/2.53 | Instantiating formula (34) with all_53_1_12, all_0_7_7, all_105_0_22, 0 and discharging atoms member(all_53_1_12, all_0_7_7) = all_105_0_22, member(all_53_1_12, all_0_7_7) = 0, yields: % 7.74/2.53 | (189) all_105_0_22 = 0 % 7.74/2.53 | % 7.74/2.53 | Equations (189) can reduce 171 to: % 7.74/2.53 | (46) $false % 7.74/2.53 | % 7.74/2.53 |-The branch is then unsatisfiable % 7.74/2.53 |-Branch two: % 7.74/2.53 | (56) all_14_0_9 = 0 % 7.74/2.53 | (192) ~ (all_14_1_10 = 0) % 7.74/2.53 | % 7.74/2.53 +-Applying beta-rule and splitting (54), into two cases. % 7.74/2.53 |-Branch one: % 7.74/2.53 | (193) all_14_1_10 = 0 % 7.74/2.53 | % 7.74/2.53 | Equations (193) can reduce 192 to: % 7.74/2.53 | (46) $false % 7.74/2.53 | % 7.74/2.53 |-The branch is then unsatisfiable % 7.74/2.53 |-Branch two: % 7.74/2.53 | (192) ~ (all_14_1_10 = 0) % 7.74/2.53 | (196) ? [v0] : ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_1_1) = v1 & member(v0, all_0_4_4) = 0) % 7.74/2.53 | % 7.74/2.53 | Instantiating (196) with all_53_0_23, all_53_1_24 yields: % 7.74/2.53 | (197) ~ (all_53_0_23 = 0) & member(all_53_1_24, all_0_1_1) = all_53_0_23 & member(all_53_1_24, all_0_4_4) = 0 % 7.74/2.53 | % 7.74/2.53 | Applying alpha-rule on (197) yields: % 7.74/2.53 | (198) ~ (all_53_0_23 = 0) % 7.74/2.53 | (199) member(all_53_1_24, all_0_1_1) = all_53_0_23 % 7.74/2.53 | (200) member(all_53_1_24, all_0_4_4) = 0 % 7.74/2.53 | % 7.74/2.53 | Instantiating formula (16) with all_53_0_23, all_0_1_1, all_0_2_2, all_0_3_3, all_53_1_24 and discharging atoms union(all_0_3_3, all_0_2_2) = all_0_1_1, member(all_53_1_24, all_0_1_1) = all_53_0_23, yields: % 7.74/2.53 | (201) all_53_0_23 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & member(all_53_1_24, all_0_2_2) = v1 & member(all_53_1_24, all_0_3_3) = v0) % 7.74/2.53 | % 7.74/2.53 | Instantiating formula (38) with all_0_4_4, all_0_6_6, all_0_5_5, all_53_1_24 and discharging atoms difference(all_0_6_6, all_0_5_5) = all_0_4_4, member(all_53_1_24, all_0_4_4) = 0, yields: % 7.74/2.53 | (202) ? [v0] : ( ~ (v0 = 0) & member(all_53_1_24, all_0_5_5) = v0 & member(all_53_1_24, all_0_6_6) = 0) % 7.74/2.53 | % 7.74/2.53 | Instantiating (202) with all_68_0_25 yields: % 7.74/2.53 | (203) ~ (all_68_0_25 = 0) & member(all_53_1_24, all_0_5_5) = all_68_0_25 & member(all_53_1_24, all_0_6_6) = 0 % 7.74/2.53 | % 7.74/2.53 | Applying alpha-rule on (203) yields: % 7.74/2.53 | (204) ~ (all_68_0_25 = 0) % 7.74/2.53 | (205) member(all_53_1_24, all_0_5_5) = all_68_0_25 % 7.74/2.53 | (206) member(all_53_1_24, all_0_6_6) = 0 % 7.74/2.53 | % 7.74/2.53 +-Applying beta-rule and splitting (201), into two cases. % 7.74/2.53 |-Branch one: % 7.74/2.53 | (207) all_53_0_23 = 0 % 7.74/2.53 | % 7.74/2.53 | Equations (207) can reduce 198 to: % 7.74/2.53 | (46) $false % 7.74/2.54 | % 7.74/2.54 |-The branch is then unsatisfiable % 7.74/2.54 |-Branch two: % 7.74/2.54 | (198) ~ (all_53_0_23 = 0) % 7.74/2.54 | (210) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & member(all_53_1_24, all_0_2_2) = v1 & member(all_53_1_24, all_0_3_3) = v0) % 7.74/2.54 | % 7.74/2.54 | Instantiating (210) with all_74_0_26, all_74_1_27 yields: % 7.74/2.54 | (211) ~ (all_74_0_26 = 0) & ~ (all_74_1_27 = 0) & member(all_53_1_24, all_0_2_2) = all_74_0_26 & member(all_53_1_24, all_0_3_3) = all_74_1_27 % 7.74/2.54 | % 7.74/2.54 | Applying alpha-rule on (211) yields: % 7.74/2.54 | (212) ~ (all_74_0_26 = 0) % 7.74/2.54 | (213) ~ (all_74_1_27 = 0) % 7.74/2.54 | (214) member(all_53_1_24, all_0_2_2) = all_74_0_26 % 7.74/2.54 | (215) member(all_53_1_24, all_0_3_3) = all_74_1_27 % 7.74/2.54 | % 7.74/2.54 | Instantiating formula (34) with all_53_1_24, all_0_6_6, 0, all_74_0_26 and discharging atoms member(all_53_1_24, all_0_6_6) = 0, yields: % 7.74/2.54 | (216) all_74_0_26 = 0 | ~ (member(all_53_1_24, all_0_6_6) = all_74_0_26) % 7.74/2.54 | % 7.74/2.54 | Instantiating formula (41) with all_74_0_26, all_0_2_2, all_0_6_6, all_0_7_7, all_53_1_24 and discharging atoms difference(all_0_6_6, all_0_7_7) = all_0_2_2, member(all_53_1_24, all_0_2_2) = all_74_0_26, yields: % 7.74/2.54 | (217) all_74_0_26 = 0 | ? [v0] : ? [v1] : (member(all_53_1_24, all_0_6_6) = v0 & member(all_53_1_24, all_0_7_7) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 7.74/2.54 | % 7.74/2.54 | Instantiating formula (41) with all_74_1_27, all_0_3_3, all_0_6_6, all_0_8_8, all_53_1_24 and discharging atoms difference(all_0_6_6, all_0_8_8) = all_0_3_3, member(all_53_1_24, all_0_3_3) = all_74_1_27, yields: % 7.74/2.54 | (218) all_74_1_27 = 0 | ? [v0] : ? [v1] : (member(all_53_1_24, all_0_6_6) = v0 & member(all_53_1_24, all_0_8_8) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 7.74/2.54 | % 7.74/2.54 | Instantiating formula (29) with all_68_0_25, all_0_5_5, all_0_7_7, all_0_8_8, all_53_1_24 and discharging atoms intersection(all_0_8_8, all_0_7_7) = all_0_5_5, member(all_53_1_24, all_0_5_5) = all_68_0_25, yields: % 7.74/2.54 | (219) all_68_0_25 = 0 | ? [v0] : ? [v1] : (member(all_53_1_24, all_0_7_7) = v1 & member(all_53_1_24, all_0_8_8) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 7.74/2.54 | % 7.74/2.54 +-Applying beta-rule and splitting (219), into two cases. % 7.74/2.54 |-Branch one: % 7.74/2.54 | (220) all_68_0_25 = 0 % 7.74/2.54 | % 7.74/2.54 | Equations (220) can reduce 204 to: % 7.74/2.54 | (46) $false % 7.74/2.54 | % 7.74/2.54 |-The branch is then unsatisfiable % 7.74/2.54 |-Branch two: % 7.74/2.54 | (204) ~ (all_68_0_25 = 0) % 7.74/2.54 | (223) ? [v0] : ? [v1] : (member(all_53_1_24, all_0_7_7) = v1 & member(all_53_1_24, all_0_8_8) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 7.74/2.54 | % 7.74/2.54 | Instantiating (223) with all_102_0_28, all_102_1_29 yields: % 7.74/2.54 | (224) member(all_53_1_24, all_0_7_7) = all_102_0_28 & member(all_53_1_24, all_0_8_8) = all_102_1_29 & ( ~ (all_102_0_28 = 0) | ~ (all_102_1_29 = 0)) % 7.74/2.54 | % 7.74/2.54 | Applying alpha-rule on (224) yields: % 7.74/2.54 | (225) member(all_53_1_24, all_0_7_7) = all_102_0_28 % 7.74/2.54 | (226) member(all_53_1_24, all_0_8_8) = all_102_1_29 % 7.74/2.54 | (227) ~ (all_102_0_28 = 0) | ~ (all_102_1_29 = 0) % 7.74/2.54 | % 7.74/2.54 +-Applying beta-rule and splitting (218), into two cases. % 7.74/2.54 |-Branch one: % 7.74/2.54 | (228) all_74_1_27 = 0 % 7.74/2.54 | % 7.74/2.54 | Equations (228) can reduce 213 to: % 7.74/2.54 | (46) $false % 7.74/2.54 | % 7.74/2.54 |-The branch is then unsatisfiable % 7.74/2.54 |-Branch two: % 7.74/2.54 | (213) ~ (all_74_1_27 = 0) % 7.74/2.54 | (231) ? [v0] : ? [v1] : (member(all_53_1_24, all_0_6_6) = v0 & member(all_53_1_24, all_0_8_8) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 7.74/2.54 | % 7.74/2.54 | Instantiating (231) with all_108_0_30, all_108_1_31 yields: % 7.74/2.54 | (232) member(all_53_1_24, all_0_6_6) = all_108_1_31 & member(all_53_1_24, all_0_8_8) = all_108_0_30 & ( ~ (all_108_1_31 = 0) | all_108_0_30 = 0) % 7.74/2.54 | % 7.74/2.54 | Applying alpha-rule on (232) yields: % 7.74/2.54 | (233) member(all_53_1_24, all_0_6_6) = all_108_1_31 % 7.74/2.54 | (234) member(all_53_1_24, all_0_8_8) = all_108_0_30 % 7.74/2.54 | (235) ~ (all_108_1_31 = 0) | all_108_0_30 = 0 % 7.74/2.54 | % 7.74/2.54 +-Applying beta-rule and splitting (216), into two cases. % 7.74/2.54 |-Branch one: % 7.74/2.54 | (236) ~ (member(all_53_1_24, all_0_6_6) = all_74_0_26) % 7.74/2.54 | % 7.74/2.54 | Instantiating formula (34) with all_53_1_24, all_0_6_6, all_108_1_31, 0 and discharging atoms member(all_53_1_24, all_0_6_6) = all_108_1_31, member(all_53_1_24, all_0_6_6) = 0, yields: % 7.74/2.54 | (237) all_108_1_31 = 0 % 7.74/2.54 | % 7.74/2.54 | Instantiating formula (34) with all_53_1_24, all_0_8_8, all_102_1_29, all_108_0_30 and discharging atoms member(all_53_1_24, all_0_8_8) = all_108_0_30, member(all_53_1_24, all_0_8_8) = all_102_1_29, yields: % 7.74/2.54 | (238) all_108_0_30 = all_102_1_29 % 7.74/2.54 | % 7.74/2.54 | Using (233) and (236) yields: % 7.74/2.54 | (239) ~ (all_108_1_31 = all_74_0_26) % 7.74/2.54 | % 7.74/2.54 | Equations (237) can reduce 239 to: % 7.74/2.54 | (240) ~ (all_74_0_26 = 0) % 7.74/2.54 | % 7.74/2.54 | Simplifying 240 yields: % 7.74/2.54 | (212) ~ (all_74_0_26 = 0) % 7.74/2.54 | % 7.74/2.54 | From (237) and (233) follows: % 7.74/2.54 | (206) member(all_53_1_24, all_0_6_6) = 0 % 7.74/2.54 | % 7.74/2.54 +-Applying beta-rule and splitting (235), into two cases. % 7.74/2.54 |-Branch one: % 7.74/2.54 | (243) ~ (all_108_1_31 = 0) % 7.74/2.54 | % 7.74/2.54 | Equations (237) can reduce 243 to: % 7.74/2.54 | (46) $false % 7.74/2.54 | % 7.74/2.54 |-The branch is then unsatisfiable % 7.74/2.54 |-Branch two: % 7.74/2.54 | (237) all_108_1_31 = 0 % 7.74/2.54 | (246) all_108_0_30 = 0 % 7.74/2.54 | % 7.74/2.54 | Combining equations (246,238) yields a new equation: % 7.74/2.54 | (247) all_102_1_29 = 0 % 7.74/2.54 | % 7.74/2.54 +-Applying beta-rule and splitting (217), into two cases. % 7.74/2.54 |-Branch one: % 7.74/2.54 | (248) all_74_0_26 = 0 % 7.74/2.54 | % 7.74/2.54 | Equations (248) can reduce 212 to: % 7.74/2.54 | (46) $false % 7.74/2.54 | % 7.74/2.54 |-The branch is then unsatisfiable % 7.74/2.54 |-Branch two: % 7.74/2.54 | (212) ~ (all_74_0_26 = 0) % 7.74/2.54 | (251) ? [v0] : ? [v1] : (member(all_53_1_24, all_0_6_6) = v0 & member(all_53_1_24, all_0_7_7) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 7.74/2.54 | % 7.74/2.54 | Instantiating (251) with all_138_0_32, all_138_1_33 yields: % 7.74/2.54 | (252) member(all_53_1_24, all_0_6_6) = all_138_1_33 & member(all_53_1_24, all_0_7_7) = all_138_0_32 & ( ~ (all_138_1_33 = 0) | all_138_0_32 = 0) % 7.74/2.54 | % 7.74/2.54 | Applying alpha-rule on (252) yields: % 7.74/2.54 | (253) member(all_53_1_24, all_0_6_6) = all_138_1_33 % 7.74/2.54 | (254) member(all_53_1_24, all_0_7_7) = all_138_0_32 % 7.74/2.54 | (255) ~ (all_138_1_33 = 0) | all_138_0_32 = 0 % 7.74/2.54 | % 7.74/2.54 +-Applying beta-rule and splitting (227), into two cases. % 7.74/2.54 |-Branch one: % 7.74/2.54 | (256) ~ (all_102_0_28 = 0) % 7.74/2.54 | % 7.74/2.54 | Instantiating formula (34) with all_53_1_24, all_0_6_6, all_138_1_33, 0 and discharging atoms member(all_53_1_24, all_0_6_6) = all_138_1_33, member(all_53_1_24, all_0_6_6) = 0, yields: % 7.74/2.54 | (257) all_138_1_33 = 0 % 7.74/2.54 | % 7.74/2.54 | Instantiating formula (34) with all_53_1_24, all_0_7_7, all_138_0_32, all_102_0_28 and discharging atoms member(all_53_1_24, all_0_7_7) = all_138_0_32, member(all_53_1_24, all_0_7_7) = all_102_0_28, yields: % 7.74/2.54 | (258) all_138_0_32 = all_102_0_28 % 7.74/2.54 | % 7.74/2.54 +-Applying beta-rule and splitting (255), into two cases. % 7.74/2.54 |-Branch one: % 7.74/2.54 | (259) ~ (all_138_1_33 = 0) % 7.74/2.54 | % 7.74/2.54 | Equations (257) can reduce 259 to: % 7.74/2.54 | (46) $false % 7.74/2.54 | % 7.74/2.54 |-The branch is then unsatisfiable % 7.74/2.54 |-Branch two: % 7.74/2.54 | (257) all_138_1_33 = 0 % 7.74/2.55 | (262) all_138_0_32 = 0 % 7.74/2.55 | % 7.74/2.55 | Combining equations (262,258) yields a new equation: % 7.74/2.55 | (263) all_102_0_28 = 0 % 7.74/2.55 | % 7.74/2.55 | Equations (263) can reduce 256 to: % 7.74/2.55 | (46) $false % 7.74/2.55 | % 7.74/2.55 |-The branch is then unsatisfiable % 7.74/2.55 |-Branch two: % 7.74/2.55 | (263) all_102_0_28 = 0 % 7.74/2.55 | (266) ~ (all_102_1_29 = 0) % 7.74/2.55 | % 7.74/2.55 | Equations (247) can reduce 266 to: % 7.74/2.55 | (46) $false % 7.74/2.55 | % 7.74/2.55 |-The branch is then unsatisfiable % 7.74/2.55 |-Branch two: % 7.74/2.55 | (268) member(all_53_1_24, all_0_6_6) = all_74_0_26 % 7.74/2.55 | (248) all_74_0_26 = 0 % 7.74/2.55 | % 7.74/2.55 | Equations (248) can reduce 212 to: % 7.74/2.55 | (46) $false % 7.74/2.55 | % 7.74/2.55 |-The branch is then unsatisfiable % 7.74/2.55 % SZS output end Proof for theBenchmark % 7.74/2.55 % 7.74/2.55 1920ms %------------------------------------------------------------------------------