%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET949+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n014.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 00:23:23 EDT 2022 % Result : Theorem 20.56s 6.05s % Output : Proof 21.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET949+1 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n014.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 Jul 10 13:20:35 EDT 2022 % 0.12/0.33 % CPUTime : % 0.56/0.57 ____ _ % 0.56/0.57 ___ / __ \_____(_)___ ________ __________ % 0.56/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.56/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.56/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.56/0.57 % 0.56/0.57 A Theorem Prover for First-Order Logic % 0.56/0.58 (ePrincess v.1.0) % 0.56/0.58 % 0.56/0.58 (c) Philipp Rümmer, 2009-2015 % 0.56/0.58 (c) Peter Backeman, 2014-2015 % 0.56/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.56/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.56/0.58 Bug reports to peter@backeman.se % 0.56/0.58 % 0.56/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.56/0.58 % 0.56/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.56/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.30/0.88 Prover 0: Preprocessing ... % 1.67/1.06 Prover 0: Warning: ignoring some quantifiers % 1.81/1.08 Prover 0: Constructing countermodel ... % 20.23/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 20.23/5.94 Prover 1: Preprocessing ... % 20.56/6.02 Prover 1: Warning: ignoring some quantifiers % 20.56/6.02 Prover 1: Constructing countermodel ... % 20.56/6.05 Prover 1: proved (129ms) % 20.56/6.05 Prover 0: stopped % 20.56/6.05 % 20.56/6.05 No countermodel exists, formula is valid % 20.56/6.05 % SZS status Theorem for theBenchmark % 20.56/6.05 % 20.56/6.05 Generating proof ... Warning: ignoring some quantifiers % 20.96/6.17 found it (size 7) % 20.96/6.17 % 20.96/6.17 % SZS output start Proof for theBenchmark % 20.96/6.17 Assumed formulas after preprocessing and simplification: % 20.96/6.17 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v5 = 0) & empty(v6) = 0 & empty(v4) = v5 & cartesian_product2(v1, v2) = v3 & in(v0, v3) = 0 & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = 0 | ~ (cartesian_product2(v7, v8) = v9) | ~ (ordered_pair(v12, v13) = v10) | ~ (in(v10, v9) = v11) | ? [v14] : ? [v15] : (in(v13, v8) = v15 & in(v12, v7) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (singleton(v7) = v10) | ~ (unordered_pair(v9, v10) = v11) | ~ (unordered_pair(v7, v8) = v9) | ordered_pair(v7, v8) = v11) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (cartesian_product2(v10, v9) = v8) | ~ (cartesian_product2(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (ordered_pair(v10, v9) = v8) | ~ (ordered_pair(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (unordered_pair(v10, v9) = v8) | ~ (unordered_pair(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (in(v10, v9) = v8) | ~ (in(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (cartesian_product2(v7, v8) = v9) | ~ (in(v10, v9) = 0) | ? [v11] : ? [v12] : (ordered_pair(v11, v12) = v10 & in(v12, v8) = 0 & in(v11, v7) = 0)) & ? [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v7 | ~ (cartesian_product2(v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (in(v11, v7) = v12 & ( ~ (v12 = 0) | ! [v18] : ! [v19] : ( ~ (ordered_pair(v18, v19) = v11) | ? [v20] : ? [v21] : (in(v19, v9) = v21 & in(v18, v8) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & (v12 = 0 | (v17 = v11 & v16 = 0 & v15 = 0 & ordered_pair(v13, v14) = v11 & in(v14, v9) = 0 & in(v13, v8) = 0)))) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (empty(v9) = v8) | ~ (empty(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (singleton(v9) = v8) | ~ (singleton(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (ordered_pair(v7, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & empty(v9) = v10)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (unordered_pair(v7, v8) = v9) | unordered_pair(v8, v7) = v9) & ! [v7] : ! [v8] : ~ (ordered_pair(v7, v8) = v0) & ! [v7] : ! [v8] : ( ~ (in(v7, v8) = 0) | ? [v9] : ( ~ (v9 = 0) & in(v8, v7) = v9))) % 21.51/6.20 | 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: % 21.51/6.20 | (1) ~ (all_0_1_1 = 0) & empty(all_0_0_0) = 0 & empty(all_0_2_2) = all_0_1_1 & cartesian_product2(all_0_5_5, all_0_4_4) = all_0_3_3 & in(all_0_6_6, all_0_3_3) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (cartesian_product2(v0, v1) = v2) | ~ (ordered_pair(v5, v6) = v3) | ~ (in(v3, v2) = v4) | ? [v7] : ? [v8] : (in(v6, v1) = v8 & in(v5, v0) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (singleton(v0) = v3) | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) = 0 & in(v4, v0) = 0)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (cartesian_product2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v11] : ! [v12] : ( ~ (ordered_pair(v11, v12) = v4) | ? [v13] : ? [v14] : (in(v12, v2) = v14 & in(v11, v1) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & ordered_pair(v6, v7) = v4 & in(v7, v2) = 0 & in(v6, v1) = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) & ! [v0] : ! [v1] : ~ (ordered_pair(v0, v1) = all_0_6_6) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) % 21.51/6.21 | % 21.51/6.21 | Applying alpha-rule on (1) yields: % 21.51/6.21 | (2) empty(all_0_2_2) = all_0_1_1 % 21.51/6.21 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) % 21.51/6.21 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) % 21.59/6.21 | (5) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) % 21.59/6.21 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) % 21.59/6.21 | (7) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (cartesian_product2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v11] : ! [v12] : ( ~ (ordered_pair(v11, v12) = v4) | ? [v13] : ? [v14] : (in(v12, v2) = v14 & in(v11, v1) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & ordered_pair(v6, v7) = v4 & in(v7, v2) = 0 & in(v6, v1) = 0)))) % 21.59/6.22 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) % 21.59/6.22 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) % 21.59/6.22 | (10) cartesian_product2(all_0_5_5, all_0_4_4) = all_0_3_3 % 21.59/6.22 | (11) ! [v0] : ! [v1] : ~ (ordered_pair(v0, v1) = all_0_6_6) % 21.59/6.22 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (singleton(v0) = v3) | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4) % 21.59/6.22 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) % 21.59/6.22 | (14) empty(all_0_0_0) = 0 % 21.59/6.22 | (15) in(all_0_6_6, all_0_3_3) = 0 % 21.59/6.22 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) % 21.59/6.22 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) = 0 & in(v4, v0) = 0)) % 21.59/6.22 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (cartesian_product2(v0, v1) = v2) | ~ (ordered_pair(v5, v6) = v3) | ~ (in(v3, v2) = v4) | ? [v7] : ? [v8] : (in(v6, v1) = v8 & in(v5, v0) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) % 21.59/6.22 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3)) % 21.59/6.22 | (20) ~ (all_0_1_1 = 0) % 21.59/6.22 | % 21.59/6.22 | Instantiating formula (17) with all_0_6_6, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms cartesian_product2(all_0_5_5, all_0_4_4) = all_0_3_3, in(all_0_6_6, all_0_3_3) = 0, yields: % 21.59/6.22 | (21) ? [v0] : ? [v1] : (ordered_pair(v0, v1) = all_0_6_6 & in(v1, all_0_4_4) = 0 & in(v0, all_0_5_5) = 0) % 21.59/6.22 | % 21.59/6.22 | Instantiating (21) with all_12_0_9, all_12_1_10 yields: % 21.59/6.22 | (22) ordered_pair(all_12_1_10, all_12_0_9) = all_0_6_6 & in(all_12_0_9, all_0_4_4) = 0 & in(all_12_1_10, all_0_5_5) = 0 % 21.59/6.22 | % 21.59/6.22 | Applying alpha-rule on (22) yields: % 21.59/6.22 | (23) ordered_pair(all_12_1_10, all_12_0_9) = all_0_6_6 % 21.59/6.22 | (24) in(all_12_0_9, all_0_4_4) = 0 % 21.59/6.22 | (25) in(all_12_1_10, all_0_5_5) = 0 % 21.59/6.22 | % 21.59/6.22 | Instantiating formula (11) with all_12_0_9, all_12_1_10 and discharging atoms ordered_pair(all_12_1_10, all_12_0_9) = all_0_6_6, yields: % 21.59/6.22 | (26) $false % 21.59/6.22 | % 21.59/6.22 |-The branch is then unsatisfiable % 21.59/6.22 % SZS output end Proof for theBenchmark % 21.59/6.22 % 21.59/6.22 5638ms %------------------------------------------------------------------------------