%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEU128+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 08:46:47 EDT 2022 % Result : Theorem 2.97s 1.44s % Output : Proof 4.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU128+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n027.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jun 19 22:10:09 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.58 ____ _ % 0.19/0.58 ___ / __ \_____(_)___ ________ __________ % 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.58 % 0.19/0.58 A Theorem Prover for First-Order Logic % 0.19/0.58 (ePrincess v.1.0) % 0.19/0.58 % 0.19/0.58 (c) Philipp Rümmer, 2009-2015 % 0.19/0.58 (c) Peter Backeman, 2014-2015 % 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.58 Bug reports to peter@backeman.se % 0.19/0.58 % 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.58 % 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.76/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.41/0.91 Prover 0: Preprocessing ... % 1.70/1.06 Prover 0: Warning: ignoring some quantifiers % 1.86/1.08 Prover 0: Constructing countermodel ... % 2.35/1.26 Prover 0: gave up % 2.35/1.26 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 2.35/1.28 Prover 1: Preprocessing ... % 2.72/1.35 Prover 1: Warning: ignoring some quantifiers % 2.72/1.35 Prover 1: Constructing countermodel ... % 2.97/1.44 Prover 1: proved (185ms) % 2.97/1.44 % 2.97/1.44 No countermodel exists, formula is valid % 2.97/1.44 % SZS status Theorem for theBenchmark % 2.97/1.44 % 2.97/1.44 Generating proof ... Warning: ignoring some quantifiers % 4.15/1.76 found it (size 33) % 4.15/1.76 % 4.15/1.76 % SZS output start Proof for theBenchmark % 4.15/1.76 Assumed formulas after preprocessing and simplification: % 4.15/1.76 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v6 = 0) & ~ (v4 = 0) & empty(v7) = 0 & empty(v5) = v6 & empty(empty_set) = 0 & subset(v0, v3) = v4 & subset(v0, v2) = 0 & subset(v0, v1) = 0 & set_intersection2(v1, v2) = v3 & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (set_intersection2(v8, v9) = v10) | ~ (in(v11, v8) = v12) | ? [v13] : ? [v14] : (in(v11, v10) = v13 & in(v11, v9) = v14 & ( ~ (v13 = 0) | (v14 = 0 & v12 = 0)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (subset(v11, v10) = v9) | ~ (subset(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (set_intersection2(v11, v10) = v9) | ~ (set_intersection2(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (in(v11, v10) = v9) | ~ (in(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (set_intersection2(v8, v9) = v10) | ~ (in(v11, v8) = 0) | ? [v12] : ? [v13] : (in(v11, v10) = v13 & in(v11, v9) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ? [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v8 | ~ (set_intersection2(v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (in(v12, v10) = v15 & in(v12, v9) = v14 & in(v12, v8) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)) & (v13 = 0 | (v15 = 0 & v14 = 0)))) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (subset(v8, v9) = v10) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & in(v11, v9) = v12 & in(v11, v8) = 0)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (empty(v10) = v9) | ~ (empty(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (subset(v8, v9) = 0) | ~ (in(v10, v8) = 0) | in(v10, v9) = 0) & ! [v8] : ! [v9] : ! [v10] : ( ~ (set_intersection2(v8, v9) = v10) | set_intersection2(v9, v8) = v10) & ! [v8] : ! [v9] : (v9 = v8 | ~ (empty(v9) = 0) | ~ (empty(v8) = 0)) & ! [v8] : ! [v9] : (v9 = v8 | ~ (set_intersection2(v8, v8) = v9)) & ! [v8] : ! [v9] : (v9 = empty_set | ~ (set_intersection2(v8, empty_set) = v9)) & ! [v8] : ! [v9] : (v9 = 0 | ~ (subset(v8, v8) = v9)) & ! [v8] : ! [v9] : ( ~ (in(v8, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & empty(v9) = v10)) & ! [v8] : ! [v9] : ( ~ (in(v8, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & in(v9, v8) = v10)) & ! [v8] : (v8 = empty_set | ~ (empty(v8) = 0))) % 4.50/1.80 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 yields: % 4.50/1.80 | (1) ~ (all_0_1_1 = 0) & ~ (all_0_3_3 = 0) & empty(all_0_0_0) = 0 & empty(all_0_2_2) = all_0_1_1 & empty(empty_set) = 0 & subset(all_0_7_7, all_0_4_4) = all_0_3_3 & subset(all_0_7_7, all_0_5_5) = 0 & subset(all_0_7_7, all_0_6_6) = 0 & set_intersection2(all_0_6_6, all_0_5_5) = all_0_4_4 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v6 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_intersection2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) & ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0)) % 4.50/1.81 | % 4.50/1.81 | Applying alpha-rule on (1) yields: % 4.50/1.81 | (2) subset(all_0_7_7, all_0_6_6) = 0 % 4.50/1.81 | (3) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) % 4.50/1.81 | (4) subset(all_0_7_7, all_0_4_4) = all_0_3_3 % 4.50/1.81 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) % 4.50/1.81 | (6) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) % 4.50/1.81 | (7) ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) % 4.50/1.81 | (8) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_intersection2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0)))) % 4.50/1.81 | (9) set_intersection2(all_0_6_6, all_0_5_5) = all_0_4_4 % 4.50/1.81 | (10) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0)) % 4.50/1.81 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v6 = 0 & v4 = 0)))) % 4.50/1.81 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) % 4.50/1.81 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) % 4.50/1.81 | (14) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1)) % 4.50/1.81 | (15) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) % 4.50/1.81 | (16) ~ (all_0_3_3 = 0) % 4.50/1.81 | (17) empty(all_0_0_0) = 0 % 4.50/1.81 | (18) ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1)) % 4.50/1.81 | (19) empty(all_0_2_2) = all_0_1_1 % 4.50/1.81 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0) % 4.50/1.82 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) % 4.50/1.82 | (22) ~ (all_0_1_1 = 0) % 4.50/1.82 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) % 4.50/1.82 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) % 4.50/1.82 | (25) empty(empty_set) = 0 % 4.50/1.82 | (26) ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0)) % 4.50/1.82 | (27) subset(all_0_7_7, all_0_5_5) = 0 % 4.50/1.82 | % 4.50/1.82 | Instantiating formula (10) with all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms subset(all_0_7_7, all_0_4_4) = all_0_3_3, yields: % 4.50/1.82 | (28) all_0_3_3 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_4_4) = v1 & in(v0, all_0_7_7) = 0) % 4.50/1.82 | % 4.50/1.82 | Instantiating formula (21) with all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms set_intersection2(all_0_6_6, all_0_5_5) = all_0_4_4, yields: % 4.50/1.82 | (29) set_intersection2(all_0_5_5, all_0_6_6) = all_0_4_4 % 4.50/1.82 | % 4.50/1.82 +-Applying beta-rule and splitting (28), into two cases. % 4.50/1.82 |-Branch one: % 4.50/1.82 | (30) all_0_3_3 = 0 % 4.50/1.82 | % 4.50/1.82 | Equations (30) can reduce 16 to: % 4.50/1.82 | (31) $false % 4.50/1.82 | % 4.50/1.82 |-The branch is then unsatisfiable % 4.50/1.82 |-Branch two: % 4.50/1.82 | (16) ~ (all_0_3_3 = 0) % 4.50/1.82 | (33) ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_4_4) = v1 & in(v0, all_0_7_7) = 0) % 4.50/1.82 | % 4.50/1.82 | Instantiating (33) with all_27_0_9, all_27_1_10 yields: % 4.50/1.82 | (34) ~ (all_27_0_9 = 0) & in(all_27_1_10, all_0_4_4) = all_27_0_9 & in(all_27_1_10, all_0_7_7) = 0 % 4.50/1.82 | % 4.50/1.82 | Applying alpha-rule on (34) yields: % 4.50/1.82 | (35) ~ (all_27_0_9 = 0) % 4.50/1.82 | (36) in(all_27_1_10, all_0_4_4) = all_27_0_9 % 4.50/1.82 | (37) in(all_27_1_10, all_0_7_7) = 0 % 4.50/1.82 | % 4.50/1.82 | Instantiating formula (20) with all_27_1_10, all_0_5_5, all_0_7_7 and discharging atoms subset(all_0_7_7, all_0_5_5) = 0, in(all_27_1_10, all_0_7_7) = 0, yields: % 4.50/1.82 | (38) in(all_27_1_10, all_0_5_5) = 0 % 4.50/1.82 | % 4.50/1.82 | Instantiating formula (20) with all_27_1_10, all_0_6_6, all_0_7_7 and discharging atoms subset(all_0_7_7, all_0_6_6) = 0, in(all_27_1_10, all_0_7_7) = 0, yields: % 4.50/1.82 | (39) in(all_27_1_10, all_0_6_6) = 0 % 4.50/1.82 | % 4.50/1.82 | Instantiating formula (5) with all_27_1_10, all_0_6_6, 0, all_27_0_9 and discharging atoms in(all_27_1_10, all_0_6_6) = 0, yields: % 4.50/1.82 | (40) all_27_0_9 = 0 | ~ (in(all_27_1_10, all_0_6_6) = all_27_0_9) % 4.50/1.82 | % 4.50/1.82 | Instantiating formula (13) with all_27_1_10, all_0_4_4, all_0_6_6, all_0_5_5 and discharging atoms set_intersection2(all_0_5_5, all_0_6_6) = all_0_4_4, in(all_27_1_10, all_0_5_5) = 0, yields: % 4.50/1.82 | (41) ? [v0] : ? [v1] : (in(all_27_1_10, all_0_4_4) = v1 & in(all_27_1_10, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 4.50/1.82 | % 4.50/1.82 | Instantiating formula (13) with all_27_1_10, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms set_intersection2(all_0_6_6, all_0_5_5) = all_0_4_4, in(all_27_1_10, all_0_6_6) = 0, yields: % 4.50/1.82 | (42) ? [v0] : ? [v1] : (in(all_27_1_10, all_0_4_4) = v1 & in(all_27_1_10, all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 4.50/1.82 | % 4.50/1.82 | Instantiating (41) with all_60_0_15, all_60_1_16 yields: % 4.50/1.82 | (43) in(all_27_1_10, all_0_4_4) = all_60_0_15 & in(all_27_1_10, all_0_6_6) = all_60_1_16 & ( ~ (all_60_1_16 = 0) | all_60_0_15 = 0) % 4.50/1.83 | % 4.50/1.83 | Applying alpha-rule on (43) yields: % 4.50/1.83 | (44) in(all_27_1_10, all_0_4_4) = all_60_0_15 % 4.50/1.83 | (45) in(all_27_1_10, all_0_6_6) = all_60_1_16 % 4.50/1.83 | (46) ~ (all_60_1_16 = 0) | all_60_0_15 = 0 % 4.50/1.83 | % 4.50/1.83 | Instantiating (42) with all_66_0_19, all_66_1_20 yields: % 4.50/1.83 | (47) in(all_27_1_10, all_0_4_4) = all_66_0_19 & in(all_27_1_10, all_0_5_5) = all_66_1_20 & ( ~ (all_66_1_20 = 0) | all_66_0_19 = 0) % 4.50/1.83 | % 4.50/1.83 | Applying alpha-rule on (47) yields: % 4.50/1.83 | (48) in(all_27_1_10, all_0_4_4) = all_66_0_19 % 4.50/1.83 | (49) in(all_27_1_10, all_0_5_5) = all_66_1_20 % 4.50/1.83 | (50) ~ (all_66_1_20 = 0) | all_66_0_19 = 0 % 4.50/1.83 | % 4.50/1.83 +-Applying beta-rule and splitting (40), into two cases. % 4.50/1.83 |-Branch one: % 4.50/1.83 | (51) ~ (in(all_27_1_10, all_0_6_6) = all_27_0_9) % 4.50/1.83 | % 4.50/1.83 | Instantiating formula (5) with all_27_1_10, all_0_4_4, all_66_0_19, all_27_0_9 and discharging atoms in(all_27_1_10, all_0_4_4) = all_66_0_19, in(all_27_1_10, all_0_4_4) = all_27_0_9, yields: % 4.50/1.83 | (52) all_66_0_19 = all_27_0_9 % 4.50/1.83 | % 4.50/1.83 | Instantiating formula (5) with all_27_1_10, all_0_5_5, all_66_1_20, 0 and discharging atoms in(all_27_1_10, all_0_5_5) = all_66_1_20, in(all_27_1_10, all_0_5_5) = 0, yields: % 4.50/1.83 | (53) all_66_1_20 = 0 % 4.50/1.83 | % 4.50/1.83 | Instantiating formula (5) with all_27_1_10, all_0_6_6, all_60_1_16, 0 and discharging atoms in(all_27_1_10, all_0_6_6) = all_60_1_16, in(all_27_1_10, all_0_6_6) = 0, yields: % 4.50/1.83 | (54) all_60_1_16 = 0 % 4.50/1.83 | % 4.50/1.83 | Using (45) and (51) yields: % 4.50/1.83 | (55) ~ (all_60_1_16 = all_27_0_9) % 4.50/1.83 | % 4.50/1.83 | Equations (54) can reduce 55 to: % 4.50/1.83 | (56) ~ (all_27_0_9 = 0) % 4.50/1.83 | % 4.50/1.83 | Simplifying 56 yields: % 4.50/1.83 | (35) ~ (all_27_0_9 = 0) % 4.50/1.83 | % 4.50/1.83 +-Applying beta-rule and splitting (50), into two cases. % 4.50/1.83 |-Branch one: % 4.50/1.83 | (58) ~ (all_66_1_20 = 0) % 4.50/1.83 | % 4.50/1.83 | Equations (53) can reduce 58 to: % 4.50/1.83 | (31) $false % 4.50/1.83 | % 4.50/1.83 |-The branch is then unsatisfiable % 4.50/1.83 |-Branch two: % 4.50/1.83 | (53) all_66_1_20 = 0 % 4.50/1.83 | (61) all_66_0_19 = 0 % 4.50/1.83 | % 4.50/1.83 | Combining equations (61,52) yields a new equation: % 4.50/1.83 | (62) all_27_0_9 = 0 % 4.50/1.83 | % 4.50/1.83 | Equations (62) can reduce 35 to: % 4.50/1.83 | (31) $false % 4.50/1.83 | % 4.50/1.83 |-The branch is then unsatisfiable % 4.50/1.83 |-Branch two: % 4.50/1.83 | (64) in(all_27_1_10, all_0_6_6) = all_27_0_9 % 4.50/1.83 | (62) all_27_0_9 = 0 % 4.50/1.83 | % 4.50/1.83 | Equations (62) can reduce 35 to: % 4.50/1.83 | (31) $false % 4.50/1.83 | % 4.50/1.83 |-The branch is then unsatisfiable % 4.50/1.83 % SZS output end Proof for theBenchmark % 4.50/1.83 % 4.50/1.83 1237ms %------------------------------------------------------------------------------