%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : NUM395+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n017.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 : Mon Jul 18 08:44:08 EDT 2022 % Result : Theorem 1.95s 1.02s % Output : Proof 2.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : NUM395+1 : TPTP v8.1.0. Released v3.2.0. % 0.00/0.07 % Command : ePrincess-casc -timeout=%d %s % 0.07/0.26 % Computer : n017.cluster.edu % 0.07/0.26 % Model : x86_64 x86_64 % 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.26 % Memory : 8042.1875MB % 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.26 % CPULimit : 300 % 0.07/0.26 % WCLimit : 600 % 0.07/0.26 % DateTime : Thu Jul 7 01:28:29 EDT 2022 % 0.07/0.26 % CPUTime : % 0.11/0.43 ____ _ % 0.11/0.43 ___ / __ \_____(_)___ ________ __________ % 0.11/0.43 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.11/0.43 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.11/0.43 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.11/0.43 % 0.11/0.43 A Theorem Prover for First-Order Logic % 0.11/0.44 (ePrincess v.1.0) % 0.11/0.44 % 0.11/0.44 (c) Philipp Rümmer, 2009-2015 % 0.11/0.44 (c) Peter Backeman, 2014-2015 % 0.11/0.44 (contributions by Angelo Brillout, Peter Baumgartner) % 0.11/0.44 Free software under GNU Lesser General Public License (LGPL). % 0.11/0.44 Bug reports to peter@backeman.se % 0.11/0.44 % 0.11/0.44 For more information, visit http://user.uu.se/~petba168/breu/ % 0.11/0.44 % 0.11/0.44 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.11/0.48 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.36/0.79 Prover 0: Preprocessing ... % 1.48/0.89 Prover 0: Warning: ignoring some quantifiers % 1.48/0.91 Prover 0: Constructing countermodel ... % 1.95/1.02 Prover 0: proved (532ms) % 1.95/1.02 % 1.95/1.02 No countermodel exists, formula is valid % 1.95/1.02 % SZS status Theorem for theBenchmark % 1.95/1.02 % 1.95/1.02 Generating proof ... Warning: ignoring some quantifiers % 2.58/1.16 found it (size 4) % 2.58/1.16 % 2.58/1.16 % SZS output start Proof for theBenchmark % 2.58/1.16 Assumed formulas after preprocessing and simplification: % 2.58/1.16 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_non_empty(v5) & relation_empty_yielding(v6) & relation_empty_yielding(v2) & relation_empty_yielding(empty_set) & epsilon_connected(v10) & epsilon_connected(empty_set) & epsilon_transitive(v10) & epsilon_transitive(empty_set) & ordinal(v10) & one_to_one(v7) & relation(v9) & relation(v8) & relation(v7) & relation(v6) & relation(v5) & relation(v4) & relation(v3) & relation(v2) & relation(empty_set) & function(v9) & function(v8) & function(v7) & function(v6) & function(v5) & empty(v8) & empty(v4) & empty(v1) & empty(empty_set) & ~ ordinal(empty_set) & ~ empty(v3) & ~ empty(v0) & ! [v11] : ! [v12] : (v12 = v11 | ~ empty(v12) | ~ empty(v11)) & ! [v11] : ! [v12] : ( ~ in(v12, v11) | ~ in(v11, v12)) & ! [v11] : ! [v12] : ( ~ in(v11, v12) | ~ empty(v12)) & ! [v11] : ! [v12] : ( ~ in(v11, v12) | element(v11, v12)) & ! [v11] : ! [v12] : ( ~ element(v11, v12) | in(v11, v12) | empty(v12)) & ! [v11] : (v11 = empty_set | ~ empty(v11)) & ! [v11] : ( ~ epsilon_connected(v11) | ~ epsilon_transitive(v11) | ordinal(v11)) & ! [v11] : ( ~ ordinal(v11) | epsilon_connected(v11)) & ! [v11] : ( ~ ordinal(v11) | epsilon_transitive(v11)) & ! [v11] : ( ~ relation(v11) | ~ function(v11) | ~ empty(v11) | one_to_one(v11)) & ! [v11] : ( ~ empty(v11) | relation(v11)) & ! [v11] : ( ~ empty(v11) | function(v11)) & ? [v11] : ? [v12] : element(v12, v11)) % 2.58/1.17 | 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, all_0_9_9, all_0_10_10 yields: % 2.58/1.17 | (1) relation_non_empty(all_0_5_5) & relation_empty_yielding(all_0_4_4) & relation_empty_yielding(all_0_8_8) & relation_empty_yielding(empty_set) & epsilon_connected(all_0_0_0) & epsilon_connected(empty_set) & epsilon_transitive(all_0_0_0) & epsilon_transitive(empty_set) & ordinal(all_0_0_0) & one_to_one(all_0_3_3) & relation(all_0_1_1) & relation(all_0_2_2) & relation(all_0_3_3) & relation(all_0_4_4) & relation(all_0_5_5) & relation(all_0_6_6) & relation(all_0_7_7) & relation(all_0_8_8) & relation(empty_set) & function(all_0_1_1) & function(all_0_2_2) & function(all_0_3_3) & function(all_0_4_4) & function(all_0_5_5) & empty(all_0_2_2) & empty(all_0_6_6) & empty(all_0_9_9) & empty(empty_set) & ~ ordinal(empty_set) & ~ empty(all_0_7_7) & ~ empty(all_0_10_10) & ! [v0] : ! [v1] : (v1 = v0 | ~ empty(v1) | ~ empty(v0)) & ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1)) & ! [v0] : ! [v1] : ( ~ in(v0, v1) | ~ empty(v1)) & ! [v0] : ! [v1] : ( ~ in(v0, v1) | element(v0, v1)) & ! [v0] : ! [v1] : ( ~ element(v0, v1) | in(v0, v1) | empty(v1)) & ! [v0] : (v0 = empty_set | ~ empty(v0)) & ! [v0] : ( ~ epsilon_connected(v0) | ~ epsilon_transitive(v0) | ordinal(v0)) & ! [v0] : ( ~ ordinal(v0) | epsilon_connected(v0)) & ! [v0] : ( ~ ordinal(v0) | epsilon_transitive(v0)) & ! [v0] : ( ~ relation(v0) | ~ function(v0) | ~ empty(v0) | one_to_one(v0)) & ! [v0] : ( ~ empty(v0) | relation(v0)) & ! [v0] : ( ~ empty(v0) | function(v0)) & ? [v0] : ? [v1] : element(v1, v0) % 2.58/1.18 | % 2.58/1.18 | Applying alpha-rule on (1) yields: % 2.58/1.18 | (2) function(all_0_3_3) % 2.58/1.18 | (3) relation_non_empty(all_0_5_5) % 2.58/1.18 | (4) relation(all_0_7_7) % 2.58/1.18 | (5) relation(empty_set) % 2.58/1.18 | (6) relation(all_0_1_1) % 2.58/1.18 | (7) function(all_0_1_1) % 2.58/1.18 | (8) epsilon_transitive(all_0_0_0) % 2.58/1.18 | (9) relation_empty_yielding(empty_set) % 2.58/1.18 | (10) function(all_0_4_4) % 2.58/1.18 | (11) ordinal(all_0_0_0) % 2.58/1.18 | (12) function(all_0_2_2) % 2.58/1.18 | (13) ! [v0] : ( ~ empty(v0) | function(v0)) % 2.58/1.18 | (14) ! [v0] : ! [v1] : ( ~ element(v0, v1) | in(v0, v1) | empty(v1)) % 2.58/1.18 | (15) ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1)) % 2.58/1.18 | (16) one_to_one(all_0_3_3) % 2.58/1.18 | (17) empty(empty_set) % 2.58/1.18 | (18) epsilon_connected(all_0_0_0) % 2.58/1.18 | (19) epsilon_transitive(empty_set) % 2.58/1.18 | (20) relation_empty_yielding(all_0_8_8) % 2.58/1.18 | (21) ! [v0] : (v0 = empty_set | ~ empty(v0)) % 2.58/1.18 | (22) ? [v0] : ? [v1] : element(v1, v0) % 2.58/1.18 | (23) empty(all_0_9_9) % 2.58/1.18 | (24) epsilon_connected(empty_set) % 2.58/1.18 | (25) ~ empty(all_0_10_10) % 2.58/1.18 | (26) ~ empty(all_0_7_7) % 2.58/1.18 | (27) function(all_0_5_5) % 2.58/1.18 | (28) ! [v0] : ( ~ ordinal(v0) | epsilon_transitive(v0)) % 2.58/1.18 | (29) empty(all_0_2_2) % 2.58/1.19 | (30) ! [v0] : ! [v1] : (v1 = v0 | ~ empty(v1) | ~ empty(v0)) % 2.58/1.19 | (31) relation(all_0_4_4) % 2.58/1.19 | (32) ! [v0] : ( ~ empty(v0) | relation(v0)) % 2.58/1.19 | (33) ! [v0] : ( ~ relation(v0) | ~ function(v0) | ~ empty(v0) | one_to_one(v0)) % 2.58/1.19 | (34) relation(all_0_2_2) % 2.58/1.19 | (35) relation(all_0_5_5) % 2.58/1.19 | (36) relation(all_0_6_6) % 2.58/1.19 | (37) ! [v0] : ! [v1] : ( ~ in(v0, v1) | ~ empty(v1)) % 2.58/1.19 | (38) ! [v0] : ( ~ epsilon_connected(v0) | ~ epsilon_transitive(v0) | ordinal(v0)) % 2.58/1.19 | (39) ~ ordinal(empty_set) % 2.58/1.19 | (40) relation(all_0_8_8) % 2.58/1.19 | (41) ! [v0] : ! [v1] : ( ~ in(v0, v1) | element(v0, v1)) % 2.58/1.19 | (42) relation(all_0_3_3) % 2.58/1.19 | (43) empty(all_0_6_6) % 2.58/1.19 | (44) relation_empty_yielding(all_0_4_4) % 2.58/1.19 | (45) ! [v0] : ( ~ ordinal(v0) | epsilon_connected(v0)) % 2.58/1.19 | % 2.58/1.19 | Instantiating formula (38) with empty_set and discharging atoms epsilon_connected(empty_set), epsilon_transitive(empty_set), ~ ordinal(empty_set), yields: % 2.58/1.19 | (46) $false % 2.58/1.19 | % 2.58/1.19 |-The branch is then unsatisfiable % 2.58/1.19 % SZS output end Proof for theBenchmark % 2.58/1.19 % 2.58/1.19 745ms %------------------------------------------------------------------------------