%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PUZ031+3 : TPTP v8.1.0. Released v4.1.0. % 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 18:08:52 EDT 2022 % Result : Theorem 2.66s 1.26s % Output : Proof 3.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : PUZ031+3 : TPTP v8.1.0. Released v4.1.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n017.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 : Sat May 28 20:01:08 EDT 2022 % 0.12/0.33 % CPUTime : % 0.55/0.58 ____ _ % 0.55/0.58 ___ / __ \_____(_)___ ________ __________ % 0.55/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.55/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.55/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.55/0.58 % 0.55/0.58 A Theorem Prover for First-Order Logic % 0.55/0.58 (ePrincess v.1.0) % 0.55/0.58 % 0.55/0.58 (c) Philipp Rümmer, 2009-2015 % 0.55/0.58 (c) Peter Backeman, 2014-2015 % 0.55/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.55/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.55/0.58 Bug reports to peter@backeman.se % 0.55/0.58 % 0.55/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.55/0.58 % 0.55/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.55/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.47/0.92 Prover 0: Preprocessing ... % 1.88/1.05 Prover 0: Constructing countermodel ... % 2.66/1.25 Prover 0: proved (627ms) % 2.66/1.26 % 2.66/1.26 No countermodel exists, formula is valid % 2.66/1.26 % SZS status Theorem for theBenchmark % 2.66/1.26 % 2.66/1.26 Generating proof ... found it (size 31) % 3.48/1.52 % 3.48/1.52 % SZS output start Proof for theBenchmark % 3.48/1.52 Assumed formulas after preprocessing and simplification: % 3.48/1.52 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (grain(v0) & plant(v1) & snail(v2) & caterpillar(v3) & bird(v4) & fox(v5) & wolf(v6) & animal(v7) & edible(v8) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ much_smaller(v10, v9) | ~ eats(v10, v11) | ~ plant(v12) | ~ plant(v11) | ~ animal(v10) | ~ animal(v9) | eats(v9, v12) | eats(v9, v10)) & ! [v9] : ! [v10] : ! [v11] : ( ~ eats(v10, v11) | ~ eats(v9, v10) | ~ grain(v11) | ~ animal(v10) | ~ animal(v9)) & ! [v9] : ! [v10] : ( ~ eats(v9, v10) | ~ grain(v10) | ~ wolf(v9)) & ! [v9] : ! [v10] : ( ~ eats(v9, v10) | ~ snail(v10) | ~ bird(v9)) & ! [v9] : ! [v10] : ( ~ eats(v9, v10) | ~ fox(v10) | ~ wolf(v9)) & ! [v9] : ! [v10] : ( ~ snail(v10) | ~ bird(v9) | much_smaller(v10, v9)) & ! [v9] : ! [v10] : ( ~ caterpillar(v10) | ~ bird(v9) | much_smaller(v10, v9)) & ! [v9] : ! [v10] : ( ~ caterpillar(v10) | ~ bird(v9) | eats(v9, v10)) & ! [v9] : ! [v10] : ( ~ bird(v9) | ~ fox(v10) | much_smaller(v9, v10)) & ! [v9] : ! [v10] : ( ~ fox(v9) | ~ wolf(v10) | much_smaller(v9, v10)) & ! [v9] : ( ~ grain(v9) | plant(v9)) & ! [v9] : ( ~ plant(v9) | edible(v9)) & ! [v9] : ( ~ snail(v9) | animal(v9)) & ! [v9] : ( ~ snail(v9) | ? [v10] : (eats(v9, v10) & plant(v10))) & ! [v9] : ( ~ caterpillar(v9) | animal(v9)) & ! [v9] : ( ~ caterpillar(v9) | ? [v10] : (eats(v9, v10) & plant(v10))) & ! [v9] : ( ~ bird(v9) | animal(v9)) & ! [v9] : ( ~ fox(v9) | animal(v9)) & ! [v9] : ( ~ wolf(v9) | animal(v9)) & ! [v9] : ( ~ animal(v9) | edible(v9))) % 3.70/1.54 | 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: % 3.70/1.54 | (1) grain(all_0_8_8) & plant(all_0_7_7) & snail(all_0_6_6) & caterpillar(all_0_5_5) & bird(all_0_4_4) & fox(all_0_3_3) & wolf(all_0_2_2) & animal(all_0_1_1) & edible(all_0_0_0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ much_smaller(v1, v0) | ~ eats(v1, v2) | ~ plant(v3) | ~ plant(v2) | ~ animal(v1) | ~ animal(v0) | eats(v0, v3) | eats(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ eats(v1, v2) | ~ eats(v0, v1) | ~ grain(v2) | ~ animal(v1) | ~ animal(v0)) & ! [v0] : ! [v1] : ( ~ eats(v0, v1) | ~ grain(v1) | ~ wolf(v0)) & ! [v0] : ! [v1] : ( ~ eats(v0, v1) | ~ snail(v1) | ~ bird(v0)) & ! [v0] : ! [v1] : ( ~ eats(v0, v1) | ~ fox(v1) | ~ wolf(v0)) & ! [v0] : ! [v1] : ( ~ snail(v1) | ~ bird(v0) | much_smaller(v1, v0)) & ! [v0] : ! [v1] : ( ~ caterpillar(v1) | ~ bird(v0) | much_smaller(v1, v0)) & ! [v0] : ! [v1] : ( ~ caterpillar(v1) | ~ bird(v0) | eats(v0, v1)) & ! [v0] : ! [v1] : ( ~ bird(v0) | ~ fox(v1) | much_smaller(v0, v1)) & ! [v0] : ! [v1] : ( ~ fox(v0) | ~ wolf(v1) | much_smaller(v0, v1)) & ! [v0] : ( ~ grain(v0) | plant(v0)) & ! [v0] : ( ~ plant(v0) | edible(v0)) & ! [v0] : ( ~ snail(v0) | animal(v0)) & ! [v0] : ( ~ snail(v0) | ? [v1] : (eats(v0, v1) & plant(v1))) & ! [v0] : ( ~ caterpillar(v0) | animal(v0)) & ! [v0] : ( ~ caterpillar(v0) | ? [v1] : (eats(v0, v1) & plant(v1))) & ! [v0] : ( ~ bird(v0) | animal(v0)) & ! [v0] : ( ~ fox(v0) | animal(v0)) & ! [v0] : ( ~ wolf(v0) | animal(v0)) & ! [v0] : ( ~ animal(v0) | edible(v0)) % 3.70/1.54 | % 3.70/1.54 | Applying alpha-rule on (1) yields: % 3.70/1.54 | (2) ! [v0] : ! [v1] : ( ~ eats(v0, v1) | ~ grain(v1) | ~ wolf(v0)) % 3.70/1.54 | (3) animal(all_0_1_1) % 3.70/1.54 | (4) caterpillar(all_0_5_5) % 3.70/1.54 | (5) ! [v0] : ( ~ wolf(v0) | animal(v0)) % 3.70/1.54 | (6) bird(all_0_4_4) % 3.70/1.54 | (7) ! [v0] : ( ~ animal(v0) | edible(v0)) % 3.70/1.54 | (8) ! [v0] : ! [v1] : ( ~ eats(v0, v1) | ~ fox(v1) | ~ wolf(v0)) % 3.70/1.55 | (9) ! [v0] : ( ~ plant(v0) | edible(v0)) % 3.70/1.55 | (10) ! [v0] : ! [v1] : ( ~ caterpillar(v1) | ~ bird(v0) | much_smaller(v1, v0)) % 3.70/1.55 | (11) ! [v0] : ( ~ snail(v0) | ? [v1] : (eats(v0, v1) & plant(v1))) % 3.70/1.55 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ much_smaller(v1, v0) | ~ eats(v1, v2) | ~ plant(v3) | ~ plant(v2) | ~ animal(v1) | ~ animal(v0) | eats(v0, v3) | eats(v0, v1)) % 3.70/1.55 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ eats(v1, v2) | ~ eats(v0, v1) | ~ grain(v2) | ~ animal(v1) | ~ animal(v0)) % 3.70/1.55 | (14) ! [v0] : ( ~ snail(v0) | animal(v0)) % 3.70/1.55 | (15) ! [v0] : ! [v1] : ( ~ eats(v0, v1) | ~ snail(v1) | ~ bird(v0)) % 3.70/1.55 | (16) ! [v0] : ! [v1] : ( ~ caterpillar(v1) | ~ bird(v0) | eats(v0, v1)) % 3.70/1.55 | (17) edible(all_0_0_0) % 3.70/1.55 | (18) snail(all_0_6_6) % 3.70/1.55 | (19) grain(all_0_8_8) % 3.70/1.55 | (20) fox(all_0_3_3) % 3.70/1.55 | (21) ! [v0] : ( ~ bird(v0) | animal(v0)) % 3.70/1.55 | (22) ! [v0] : ( ~ grain(v0) | plant(v0)) % 3.70/1.55 | (23) ! [v0] : ! [v1] : ( ~ bird(v0) | ~ fox(v1) | much_smaller(v0, v1)) % 3.70/1.55 | (24) ! [v0] : ( ~ caterpillar(v0) | ? [v1] : (eats(v0, v1) & plant(v1))) % 3.70/1.55 | (25) wolf(all_0_2_2) % 3.70/1.55 | (26) ! [v0] : ! [v1] : ( ~ snail(v1) | ~ bird(v0) | much_smaller(v1, v0)) % 3.70/1.55 | (27) ! [v0] : ! [v1] : ( ~ fox(v0) | ~ wolf(v1) | much_smaller(v0, v1)) % 3.70/1.55 | (28) plant(all_0_7_7) % 3.70/1.55 | (29) ! [v0] : ( ~ caterpillar(v0) | animal(v0)) % 3.70/1.55 | (30) ! [v0] : ( ~ fox(v0) | animal(v0)) % 3.70/1.55 | % 3.70/1.55 | Instantiating formula (22) with all_0_8_8 and discharging atoms grain(all_0_8_8), yields: % 3.77/1.55 | (31) plant(all_0_8_8) % 3.77/1.55 | % 3.77/1.55 | Instantiating formula (14) with all_0_6_6 and discharging atoms snail(all_0_6_6), yields: % 3.77/1.55 | (32) animal(all_0_6_6) % 3.77/1.55 | % 3.77/1.55 | Instantiating formula (11) with all_0_6_6 and discharging atoms snail(all_0_6_6), yields: % 3.77/1.55 | (33) ? [v0] : (eats(all_0_6_6, v0) & plant(v0)) % 3.77/1.55 | % 3.77/1.55 | Instantiating formula (26) with all_0_6_6, all_0_4_4 and discharging atoms snail(all_0_6_6), bird(all_0_4_4), yields: % 3.77/1.55 | (34) much_smaller(all_0_6_6, all_0_4_4) % 3.77/1.55 | % 3.77/1.55 | Instantiating formula (21) with all_0_4_4 and discharging atoms bird(all_0_4_4), yields: % 3.77/1.55 | (35) animal(all_0_4_4) % 3.77/1.55 | % 3.77/1.55 | Instantiating formula (23) with all_0_3_3, all_0_4_4 and discharging atoms bird(all_0_4_4), fox(all_0_3_3), yields: % 3.77/1.55 | (36) much_smaller(all_0_4_4, all_0_3_3) % 3.77/1.55 | % 3.77/1.55 | Instantiating formula (30) with all_0_3_3 and discharging atoms fox(all_0_3_3), yields: % 3.77/1.55 | (37) animal(all_0_3_3) % 3.77/1.55 | % 3.77/1.55 | Instantiating formula (27) with all_0_2_2, all_0_3_3 and discharging atoms fox(all_0_3_3), wolf(all_0_2_2), yields: % 3.77/1.55 | (38) much_smaller(all_0_3_3, all_0_2_2) % 3.77/1.55 | % 3.77/1.55 | Instantiating formula (5) with all_0_2_2 and discharging atoms wolf(all_0_2_2), yields: % 3.77/1.55 | (39) animal(all_0_2_2) % 3.77/1.55 | % 3.77/1.55 | Instantiating (33) with all_11_0_10 yields: % 3.77/1.55 | (40) eats(all_0_6_6, all_11_0_10) & plant(all_11_0_10) % 3.77/1.55 | % 3.77/1.55 | Applying alpha-rule on (40) yields: % 3.77/1.55 | (41) eats(all_0_6_6, all_11_0_10) % 3.77/1.55 | (42) plant(all_11_0_10) % 3.77/1.56 | % 3.77/1.56 | Instantiating formula (12) with all_0_7_7, all_11_0_10, all_0_6_6, all_0_4_4 and discharging atoms much_smaller(all_0_6_6, all_0_4_4), eats(all_0_6_6, all_11_0_10), plant(all_11_0_10), plant(all_0_7_7), animal(all_0_4_4), animal(all_0_6_6), yields: % 3.77/1.56 | (43) eats(all_0_4_4, all_0_6_6) | eats(all_0_4_4, all_0_7_7) % 3.77/1.56 | % 3.77/1.56 | Instantiating formula (12) with all_0_8_8, all_11_0_10, all_0_6_6, all_0_4_4 and discharging atoms much_smaller(all_0_6_6, all_0_4_4), eats(all_0_6_6, all_11_0_10), plant(all_11_0_10), plant(all_0_8_8), animal(all_0_4_4), animal(all_0_6_6), yields: % 3.77/1.56 | (44) eats(all_0_4_4, all_0_6_6) | eats(all_0_4_4, all_0_8_8) % 3.77/1.56 | % 3.77/1.56 +-Applying beta-rule and splitting (43), into two cases. % 3.77/1.56 |-Branch one: % 3.77/1.56 | (45) eats(all_0_4_4, all_0_6_6) % 3.77/1.56 | % 3.77/1.56 | Instantiating formula (15) with all_0_6_6, all_0_4_4 and discharging atoms eats(all_0_4_4, all_0_6_6), snail(all_0_6_6), bird(all_0_4_4), yields: % 3.77/1.56 | (46) $false % 3.77/1.56 | % 3.77/1.56 |-The branch is then unsatisfiable % 3.77/1.56 |-Branch two: % 3.77/1.56 | (47) ~ eats(all_0_4_4, all_0_6_6) % 3.77/1.56 | (48) eats(all_0_4_4, all_0_7_7) % 3.77/1.56 | % 3.77/1.56 +-Applying beta-rule and splitting (44), into two cases. % 3.77/1.56 |-Branch one: % 3.77/1.56 | (45) eats(all_0_4_4, all_0_6_6) % 3.77/1.56 | % 3.77/1.56 | Using (45) and (47) yields: % 3.77/1.56 | (46) $false % 3.77/1.56 | % 3.77/1.56 |-The branch is then unsatisfiable % 3.77/1.56 |-Branch two: % 3.77/1.56 | (47) ~ eats(all_0_4_4, all_0_6_6) % 3.77/1.56 | (52) eats(all_0_4_4, all_0_8_8) % 3.77/1.56 | % 3.77/1.56 | Instantiating formula (12) with all_0_8_8, all_0_8_8, all_0_4_4, all_0_3_3 and discharging atoms much_smaller(all_0_4_4, all_0_3_3), eats(all_0_4_4, all_0_8_8), plant(all_0_8_8), animal(all_0_3_3), animal(all_0_4_4), yields: % 3.77/1.56 | (53) eats(all_0_3_3, all_0_4_4) | eats(all_0_3_3, all_0_8_8) % 3.77/1.56 | % 3.77/1.56 +-Applying beta-rule and splitting (53), into two cases. % 3.77/1.56 |-Branch one: % 3.77/1.56 | (54) eats(all_0_3_3, all_0_4_4) % 3.77/1.56 | % 3.77/1.56 | Instantiating formula (13) with all_0_8_8, all_0_4_4, all_0_3_3 and discharging atoms eats(all_0_3_3, all_0_4_4), eats(all_0_4_4, all_0_8_8), grain(all_0_8_8), animal(all_0_3_3), animal(all_0_4_4), yields: % 3.77/1.56 | (46) $false % 3.77/1.56 | % 3.77/1.56 |-The branch is then unsatisfiable % 3.77/1.56 |-Branch two: % 3.77/1.56 | (56) ~ eats(all_0_3_3, all_0_4_4) % 3.77/1.56 | (57) eats(all_0_3_3, all_0_8_8) % 3.77/1.56 | % 3.77/1.56 | Instantiating formula (12) with all_0_8_8, all_0_8_8, all_0_3_3, all_0_2_2 and discharging atoms much_smaller(all_0_3_3, all_0_2_2), eats(all_0_3_3, all_0_8_8), plant(all_0_8_8), animal(all_0_2_2), animal(all_0_3_3), yields: % 3.77/1.56 | (58) eats(all_0_2_2, all_0_3_3) | eats(all_0_2_2, all_0_8_8) % 3.77/1.56 | % 3.77/1.56 +-Applying beta-rule and splitting (58), into two cases. % 3.77/1.56 |-Branch one: % 3.77/1.56 | (59) eats(all_0_2_2, all_0_3_3) % 3.77/1.56 | % 3.77/1.56 | Instantiating formula (8) with all_0_3_3, all_0_2_2 and discharging atoms eats(all_0_2_2, all_0_3_3), fox(all_0_3_3), wolf(all_0_2_2), yields: % 3.77/1.56 | (46) $false % 3.77/1.56 | % 3.77/1.56 |-The branch is then unsatisfiable % 3.77/1.56 |-Branch two: % 3.77/1.56 | (61) ~ eats(all_0_2_2, all_0_3_3) % 3.77/1.56 | (62) eats(all_0_2_2, all_0_8_8) % 3.77/1.56 | % 3.77/1.56 | Instantiating formula (2) with all_0_8_8, all_0_2_2 and discharging atoms eats(all_0_2_2, all_0_8_8), grain(all_0_8_8), wolf(all_0_2_2), yields: % 3.77/1.56 | (46) $false % 3.77/1.56 | % 3.77/1.56 |-The branch is then unsatisfiable % 3.77/1.56 % SZS output end Proof for theBenchmark % 3.77/1.57 % 3.77/1.57 975ms %------------------------------------------------------------------------------