%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n024.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 00:18:22 EDT 2022 % Result : Theorem 3.19s 1.48s % Output : Proof 4.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0. % 0.06/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n024.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 23:03:28 EDT 2022 % 0.13/0.34 % CPUTime : % 0.47/0.60 ____ _ % 0.47/0.60 ___ / __ \_____(_)___ ________ __________ % 0.47/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.47/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.47/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.47/0.60 % 0.47/0.60 A Theorem Prover for First-Order Logic % 0.47/0.60 (ePrincess v.1.0) % 0.47/0.60 % 0.47/0.60 (c) Philipp Rümmer, 2009-2015 % 0.47/0.60 (c) Peter Backeman, 2014-2015 % 0.47/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.47/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.47/0.60 Bug reports to peter@backeman.se % 0.47/0.60 % 0.47/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.47/0.60 % 0.47/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.72/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.32/0.91 Prover 0: Preprocessing ... % 1.64/1.05 Prover 0: Warning: ignoring some quantifiers % 1.79/1.07 Prover 0: Constructing countermodel ... % 2.08/1.23 Prover 0: gave up % 2.08/1.23 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 2.30/1.24 Prover 1: Preprocessing ... % 2.50/1.31 Prover 1: Warning: ignoring some quantifiers % 2.50/1.31 Prover 1: Constructing countermodel ... % 3.19/1.48 Prover 1: proved (255ms) % 3.19/1.48 % 3.19/1.48 No countermodel exists, formula is valid % 3.19/1.48 % SZS status Theorem for theBenchmark % 3.19/1.48 % 3.19/1.48 Generating proof ... Warning: ignoring some quantifiers % 4.75/1.86 found it (size 53) % 4.75/1.86 % 4.75/1.86 % SZS output start Proof for theBenchmark % 4.75/1.86 Assumed formulas after preprocessing and simplification: % 4.75/1.86 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = 0) & subset(v4, v5) = v6 & subset(v2, v3) = 0 & subset(v0, v1) = 0 & union(v1, v3) = v5 & union(v0, v2) = v4 & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (union(v7, v8) = v10) | ~ (member(v9, v10) = v11) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & ~ (v12 = 0) & member(v9, v8) = v13 & member(v9, v7) = v12)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (subset(v10, v9) = v8) | ~ (subset(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (union(v10, v9) = v8) | ~ (union(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (member(v10, v9) = v8) | ~ (member(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (union(v7, v8) = v10) | ~ (member(v9, v10) = 0) | ? [v11] : ? [v12] : (member(v9, v8) = v12 & member(v9, v7) = v11 & (v12 = 0 | v11 = 0))) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (subset(v7, v8) = v9) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & member(v10, v8) = v11 & member(v10, v7) = 0)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (subset(v7, v8) = 0) | ~ (member(v9, v7) = 0) | member(v9, v8) = 0) & ! [v7] : ! [v8] : ! [v9] : ( ~ (union(v7, v8) = v9) | union(v8, v7) = v9) & ! [v7] : ! [v8] : (v8 = 0 | ~ (subset(v7, v7) = v8)) & ? [v7] : ? [v8] : (v8 = v7 | ? [v9] : ? [v10] : ? [v11] : (member(v9, v8) = v11 & member(v9, v7) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)) & (v11 = 0 | v10 = 0)))) % 4.75/1.89 | 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 yields: % 4.75/1.89 | (1) ~ (all_0_0_0 = 0) & subset(all_0_2_2, all_0_1_1) = all_0_0_0 & subset(all_0_4_4, all_0_3_3) = 0 & subset(all_0_6_6, all_0_5_5) = 0 & union(all_0_5_5, all_0_3_3) = all_0_1_1 & union(all_0_6_6, all_0_4_4) = all_0_2_2 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union(v0, v1) = v3) | ~ (member(v2, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & member(v2, v1) = v6 & member(v2, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : ? [v5] : (member(v2, v1) = v5 & member(v2, v0) = v4 & (v5 = 0 | v4 = 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] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v0, v1) = v2) | union(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) & ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : (member(v2, v1) = v4 & member(v2, v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0))) % 4.75/1.90 | % 4.75/1.90 | Applying alpha-rule on (1) yields: % 4.75/1.90 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v0, v1) = v2) | union(v1, v0) = v2) % 4.75/1.90 | (3) ~ (all_0_0_0 = 0) % 4.75/1.90 | (4) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) % 4.75/1.90 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0)) % 4.75/1.90 | (6) union(all_0_5_5, all_0_3_3) = all_0_1_1 % 4.75/1.90 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : ? [v5] : (member(v2, v1) = v5 & member(v2, v0) = v4 & (v5 = 0 | v4 = 0))) % 4.75/1.90 | (8) subset(all_0_2_2, all_0_1_1) = all_0_0_0 % 4.75/1.90 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) % 4.75/1.90 | (10) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : (member(v2, v1) = v4 & member(v2, v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0))) % 4.75/1.90 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) % 4.75/1.90 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union(v0, v1) = v3) | ~ (member(v2, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & member(v2, v1) = v6 & member(v2, v0) = v5)) % 4.75/1.90 | (13) subset(all_0_4_4, all_0_3_3) = 0 % 4.75/1.90 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) % 4.75/1.90 | (15) union(all_0_6_6, all_0_4_4) = all_0_2_2 % 4.75/1.90 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) % 4.75/1.90 | (17) subset(all_0_6_6, all_0_5_5) = 0 % 4.75/1.90 | % 4.75/1.90 | Instantiating formula (5) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms subset(all_0_2_2, all_0_1_1) = all_0_0_0, yields: % 4.75/1.90 | (18) all_0_0_0 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_1_1) = v1 & member(v0, all_0_2_2) = 0) % 4.75/1.90 | % 4.75/1.91 | Instantiating formula (2) with all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms union(all_0_5_5, all_0_3_3) = all_0_1_1, yields: % 4.75/1.91 | (19) union(all_0_3_3, all_0_5_5) = all_0_1_1 % 4.75/1.91 | % 4.75/1.91 | Instantiating formula (2) with all_0_2_2, all_0_4_4, all_0_6_6 and discharging atoms union(all_0_6_6, all_0_4_4) = all_0_2_2, yields: % 4.75/1.91 | (20) union(all_0_4_4, all_0_6_6) = all_0_2_2 % 4.75/1.91 | % 4.75/1.91 +-Applying beta-rule and splitting (18), into two cases. % 4.75/1.91 |-Branch one: % 4.75/1.91 | (21) all_0_0_0 = 0 % 4.75/1.91 | % 4.75/1.91 | Equations (21) can reduce 3 to: % 4.75/1.91 | (22) $false % 4.75/1.91 | % 4.75/1.91 |-The branch is then unsatisfiable % 4.75/1.91 |-Branch two: % 4.75/1.91 | (3) ~ (all_0_0_0 = 0) % 4.75/1.91 | (24) ? [v0] : ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_1_1) = v1 & member(v0, all_0_2_2) = 0) % 4.75/1.91 | % 4.75/1.91 | Instantiating (24) with all_18_0_9, all_18_1_10 yields: % 4.75/1.91 | (25) ~ (all_18_0_9 = 0) & member(all_18_1_10, all_0_1_1) = all_18_0_9 & member(all_18_1_10, all_0_2_2) = 0 % 4.75/1.91 | % 4.75/1.91 | Applying alpha-rule on (25) yields: % 4.75/1.91 | (26) ~ (all_18_0_9 = 0) % 4.75/1.91 | (27) member(all_18_1_10, all_0_1_1) = all_18_0_9 % 4.75/1.91 | (28) member(all_18_1_10, all_0_2_2) = 0 % 4.75/1.91 | % 4.75/1.91 | Instantiating formula (12) with all_18_0_9, all_0_1_1, all_18_1_10, all_0_3_3, all_0_5_5 and discharging atoms union(all_0_5_5, all_0_3_3) = all_0_1_1, member(all_18_1_10, all_0_1_1) = all_18_0_9, yields: % 4.75/1.91 | (29) all_18_0_9 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & member(all_18_1_10, all_0_3_3) = v1 & member(all_18_1_10, all_0_5_5) = v0) % 4.75/1.91 | % 4.75/1.91 | Instantiating formula (12) with all_18_0_9, all_0_1_1, all_18_1_10, all_0_5_5, all_0_3_3 and discharging atoms union(all_0_3_3, all_0_5_5) = all_0_1_1, member(all_18_1_10, all_0_1_1) = all_18_0_9, yields: % 4.75/1.91 | (30) all_18_0_9 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & member(all_18_1_10, all_0_3_3) = v0 & member(all_18_1_10, all_0_5_5) = v1) % 4.75/1.91 | % 4.75/1.91 | Instantiating formula (7) with all_0_2_2, all_18_1_10, all_0_4_4, all_0_6_6 and discharging atoms union(all_0_6_6, all_0_4_4) = all_0_2_2, member(all_18_1_10, all_0_2_2) = 0, yields: % 4.75/1.91 | (31) ? [v0] : ? [v1] : (member(all_18_1_10, all_0_4_4) = v1 & member(all_18_1_10, all_0_6_6) = v0 & (v1 = 0 | v0 = 0)) % 4.75/1.91 | % 4.75/1.91 | Instantiating formula (7) with all_0_2_2, all_18_1_10, all_0_6_6, all_0_4_4 and discharging atoms union(all_0_4_4, all_0_6_6) = all_0_2_2, member(all_18_1_10, all_0_2_2) = 0, yields: % 4.75/1.91 | (32) ? [v0] : ? [v1] : (member(all_18_1_10, all_0_4_4) = v0 & member(all_18_1_10, all_0_6_6) = v1 & (v1 = 0 | v0 = 0)) % 4.75/1.91 | % 4.75/1.91 | Instantiating formula (14) with all_18_1_10, all_0_3_3, all_0_4_4 and discharging atoms subset(all_0_4_4, all_0_3_3) = 0, yields: % 4.75/1.91 | (33) ~ (member(all_18_1_10, all_0_4_4) = 0) | member(all_18_1_10, all_0_3_3) = 0 % 4.75/1.91 | % 4.75/1.91 | Instantiating formula (14) with all_18_1_10, all_0_5_5, all_0_6_6 and discharging atoms subset(all_0_6_6, all_0_5_5) = 0, yields: % 4.75/1.91 | (34) ~ (member(all_18_1_10, all_0_6_6) = 0) | member(all_18_1_10, all_0_5_5) = 0 % 4.75/1.91 | % 4.75/1.91 | Instantiating (32) with all_29_0_11, all_29_1_12 yields: % 4.75/1.91 | (35) member(all_18_1_10, all_0_4_4) = all_29_1_12 & member(all_18_1_10, all_0_6_6) = all_29_0_11 & (all_29_0_11 = 0 | all_29_1_12 = 0) % 4.75/1.91 | % 4.75/1.91 | Applying alpha-rule on (35) yields: % 4.75/1.91 | (36) member(all_18_1_10, all_0_4_4) = all_29_1_12 % 4.75/1.91 | (37) member(all_18_1_10, all_0_6_6) = all_29_0_11 % 4.75/1.91 | (38) all_29_0_11 = 0 | all_29_1_12 = 0 % 4.75/1.91 | % 4.75/1.91 | Instantiating (31) with all_31_0_13, all_31_1_14 yields: % 4.75/1.91 | (39) member(all_18_1_10, all_0_4_4) = all_31_0_13 & member(all_18_1_10, all_0_6_6) = all_31_1_14 & (all_31_0_13 = 0 | all_31_1_14 = 0) % 4.75/1.91 | % 4.75/1.91 | Applying alpha-rule on (39) yields: % 4.75/1.91 | (40) member(all_18_1_10, all_0_4_4) = all_31_0_13 % 4.75/1.91 | (41) member(all_18_1_10, all_0_6_6) = all_31_1_14 % 4.75/1.91 | (42) all_31_0_13 = 0 | all_31_1_14 = 0 % 4.75/1.91 | % 4.75/1.91 +-Applying beta-rule and splitting (29), into two cases. % 4.75/1.91 |-Branch one: % 4.75/1.91 | (43) all_18_0_9 = 0 % 4.75/1.91 | % 4.75/1.91 | Equations (43) can reduce 26 to: % 4.75/1.91 | (22) $false % 4.75/1.91 | % 4.75/1.91 |-The branch is then unsatisfiable % 4.75/1.91 |-Branch two: % 4.75/1.91 | (26) ~ (all_18_0_9 = 0) % 4.75/1.91 | (46) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & member(all_18_1_10, all_0_3_3) = v1 & member(all_18_1_10, all_0_5_5) = v0) % 4.75/1.91 | % 4.75/1.91 | Instantiating (46) with all_37_0_15, all_37_1_16 yields: % 4.75/1.91 | (47) ~ (all_37_0_15 = 0) & ~ (all_37_1_16 = 0) & member(all_18_1_10, all_0_3_3) = all_37_0_15 & member(all_18_1_10, all_0_5_5) = all_37_1_16 % 4.75/1.91 | % 4.75/1.91 | Applying alpha-rule on (47) yields: % 4.75/1.91 | (48) ~ (all_37_0_15 = 0) % 4.75/1.91 | (49) ~ (all_37_1_16 = 0) % 4.75/1.91 | (50) member(all_18_1_10, all_0_3_3) = all_37_0_15 % 4.75/1.91 | (51) member(all_18_1_10, all_0_5_5) = all_37_1_16 % 4.75/1.91 | % 4.75/1.91 +-Applying beta-rule and splitting (30), into two cases. % 4.75/1.91 |-Branch one: % 4.75/1.91 | (43) all_18_0_9 = 0 % 4.75/1.91 | % 4.75/1.91 | Equations (43) can reduce 26 to: % 4.75/1.91 | (22) $false % 4.75/1.91 | % 4.75/1.91 |-The branch is then unsatisfiable % 4.75/1.91 |-Branch two: % 4.75/1.91 | (26) ~ (all_18_0_9 = 0) % 4.75/1.91 | (55) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & member(all_18_1_10, all_0_3_3) = v0 & member(all_18_1_10, all_0_5_5) = v1) % 4.75/1.92 | % 4.75/1.92 | Instantiating (55) with all_42_0_17, all_42_1_18 yields: % 4.75/1.92 | (56) ~ (all_42_0_17 = 0) & ~ (all_42_1_18 = 0) & member(all_18_1_10, all_0_3_3) = all_42_1_18 & member(all_18_1_10, all_0_5_5) = all_42_0_17 % 4.75/1.92 | % 4.75/1.92 | Applying alpha-rule on (56) yields: % 4.75/1.92 | (57) ~ (all_42_0_17 = 0) % 4.75/1.92 | (58) ~ (all_42_1_18 = 0) % 4.75/1.92 | (59) member(all_18_1_10, all_0_3_3) = all_42_1_18 % 4.75/1.92 | (60) member(all_18_1_10, all_0_5_5) = all_42_0_17 % 4.75/1.92 | % 4.75/1.92 +-Applying beta-rule and splitting (33), into two cases. % 4.75/1.92 |-Branch one: % 4.75/1.92 | (61) ~ (member(all_18_1_10, all_0_4_4) = 0) % 4.75/1.92 | % 4.75/1.92 +-Applying beta-rule and splitting (34), into two cases. % 4.75/1.92 |-Branch one: % 4.75/1.92 | (62) ~ (member(all_18_1_10, all_0_6_6) = 0) % 4.75/1.92 | % 4.75/1.92 | Instantiating formula (11) with all_18_1_10, all_0_4_4, all_29_1_12, all_31_0_13 and discharging atoms member(all_18_1_10, all_0_4_4) = all_31_0_13, member(all_18_1_10, all_0_4_4) = all_29_1_12, yields: % 4.75/1.92 | (63) all_31_0_13 = all_29_1_12 % 4.75/1.92 | % 4.75/1.92 | Instantiating formula (11) with all_18_1_10, all_0_6_6, all_29_0_11, all_31_1_14 and discharging atoms member(all_18_1_10, all_0_6_6) = all_31_1_14, member(all_18_1_10, all_0_6_6) = all_29_0_11, yields: % 4.75/1.92 | (64) all_31_1_14 = all_29_0_11 % 4.75/1.92 | % 4.75/1.92 | Using (40) and (61) yields: % 4.75/1.92 | (65) ~ (all_31_0_13 = 0) % 4.75/1.92 | % 4.75/1.92 | Using (41) and (62) yields: % 4.75/1.92 | (66) ~ (all_31_1_14 = 0) % 4.75/1.92 | % 4.75/1.92 | Equations (63) can reduce 65 to: % 4.75/1.92 | (67) ~ (all_29_1_12 = 0) % 4.75/1.92 | % 4.75/1.92 | Equations (64) can reduce 66 to: % 4.75/1.92 | (68) ~ (all_29_0_11 = 0) % 4.75/1.92 | % 4.75/1.92 +-Applying beta-rule and splitting (38), into two cases. % 4.75/1.92 |-Branch one: % 4.75/1.92 | (69) all_29_0_11 = 0 % 4.75/1.92 | % 4.75/1.92 | Equations (69) can reduce 68 to: % 4.75/1.92 | (22) $false % 4.75/1.92 | % 4.75/1.92 |-The branch is then unsatisfiable % 4.75/1.92 |-Branch two: % 4.75/1.92 | (68) ~ (all_29_0_11 = 0) % 4.75/1.92 | (72) all_29_1_12 = 0 % 4.75/1.92 | % 4.75/1.92 | Equations (72) can reduce 67 to: % 4.75/1.92 | (22) $false % 4.75/1.92 | % 4.75/1.92 |-The branch is then unsatisfiable % 4.75/1.92 |-Branch two: % 4.75/1.92 | (74) member(all_18_1_10, all_0_6_6) = 0 % 4.75/1.92 | (75) member(all_18_1_10, all_0_5_5) = 0 % 4.75/1.92 | % 4.75/1.92 | Instantiating formula (11) with all_18_1_10, all_0_5_5, all_42_0_17, 0 and discharging atoms member(all_18_1_10, all_0_5_5) = all_42_0_17, member(all_18_1_10, all_0_5_5) = 0, yields: % 4.75/1.92 | (76) all_42_0_17 = 0 % 4.75/1.92 | % 4.75/1.92 | Instantiating formula (11) with all_18_1_10, all_0_5_5, all_37_1_16, all_42_0_17 and discharging atoms member(all_18_1_10, all_0_5_5) = all_42_0_17, member(all_18_1_10, all_0_5_5) = all_37_1_16, yields: % 4.75/1.92 | (77) all_42_0_17 = all_37_1_16 % 4.75/1.92 | % 4.75/1.92 | Combining equations (76,77) yields a new equation: % 4.75/1.92 | (78) all_37_1_16 = 0 % 4.75/1.92 | % 4.75/1.92 | Equations (78) can reduce 49 to: % 4.75/1.92 | (22) $false % 4.75/1.92 | % 4.75/1.92 |-The branch is then unsatisfiable % 4.75/1.92 |-Branch two: % 4.75/1.92 | (80) member(all_18_1_10, all_0_4_4) = 0 % 4.75/1.92 | (81) member(all_18_1_10, all_0_3_3) = 0 % 4.75/1.92 | % 4.75/1.92 | Instantiating formula (11) with all_18_1_10, all_0_3_3, all_42_1_18, 0 and discharging atoms member(all_18_1_10, all_0_3_3) = all_42_1_18, member(all_18_1_10, all_0_3_3) = 0, yields: % 4.75/1.92 | (82) all_42_1_18 = 0 % 4.75/1.92 | % 4.75/1.92 | Instantiating formula (11) with all_18_1_10, all_0_3_3, all_37_0_15, all_42_1_18 and discharging atoms member(all_18_1_10, all_0_3_3) = all_42_1_18, member(all_18_1_10, all_0_3_3) = all_37_0_15, yields: % 4.75/1.92 | (83) all_42_1_18 = all_37_0_15 % 4.75/1.92 | % 4.75/1.92 | Combining equations (82,83) yields a new equation: % 4.75/1.92 | (84) all_37_0_15 = 0 % 4.75/1.92 | % 4.75/1.92 | Equations (84) can reduce 48 to: % 4.75/1.92 | (22) $false % 4.75/1.92 | % 4.75/1.92 |-The branch is then unsatisfiable % 4.75/1.92 % SZS output end Proof for theBenchmark % 4.75/1.92 % 4.75/1.92 1309ms %------------------------------------------------------------------------------