%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n022.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 18:08:51 EDT 2022 % Result : Theorem 2.40s 1.27s % Output : Proof 3.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n022.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 21:52:08 EDT 2022 % 0.12/0.33 % CPUTime : % 0.47/0.61 ____ _ % 0.47/0.61 ___ / __ \_____(_)___ ________ __________ % 0.47/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.47/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.47/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.47/0.61 % 0.47/0.61 A Theorem Prover for First-Order Logic % 0.47/0.62 (ePrincess v.1.0) % 0.47/0.62 % 0.47/0.62 (c) Philipp Rümmer, 2009-2015 % 0.47/0.62 (c) Peter Backeman, 2014-2015 % 0.47/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.47/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.47/0.62 Bug reports to peter@backeman.se % 0.47/0.62 % 0.47/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.47/0.62 % 0.47/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.66/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.52/0.94 Prover 0: Preprocessing ... % 1.88/1.07 Prover 0: Constructing countermodel ... % 2.40/1.27 Prover 0: proved (597ms) % 2.40/1.27 % 2.40/1.27 No countermodel exists, formula is valid % 2.40/1.27 % SZS status Theorem for theBenchmark % 2.40/1.27 % 2.40/1.27 Generating proof ... found it (size 27) % 3.22/1.48 % 3.22/1.48 % SZS output start Proof for theBenchmark % 3.22/1.48 Assumed formulas after preprocessing and simplification: % 3.22/1.48 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (grain(v0) & snail(v1) & caterpillar(v2) & bird(v3) & fox(v4) & wolf(v5) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ much_smaller(v7, v6) | ~ eats(v7, v8) | ~ plant(v9) | ~ plant(v8) | ~ animal(v7) | ~ animal(v6) | eats(v6, v9) | eats(v6, v7)) & ! [v6] : ! [v7] : ! [v8] : ( ~ eats(v7, v8) | ~ eats(v6, v7) | ~ grain(v8) | ~ animal(v7) | ~ animal(v6)) & ! [v6] : ! [v7] : ( ~ eats(v6, v7) | ~ grain(v7) | ~ wolf(v6)) & ! [v6] : ! [v7] : ( ~ eats(v6, v7) | ~ snail(v7) | ~ bird(v6)) & ! [v6] : ! [v7] : ( ~ eats(v6, v7) | ~ fox(v7) | ~ wolf(v6)) & ! [v6] : ! [v7] : ( ~ snail(v7) | ~ bird(v6) | much_smaller(v7, v6)) & ! [v6] : ! [v7] : ( ~ caterpillar(v7) | ~ bird(v6) | much_smaller(v7, v6)) & ! [v6] : ! [v7] : ( ~ caterpillar(v7) | ~ bird(v6) | eats(v6, v7)) & ! [v6] : ! [v7] : ( ~ bird(v6) | ~ fox(v7) | much_smaller(v6, v7)) & ! [v6] : ! [v7] : ( ~ fox(v6) | ~ wolf(v7) | much_smaller(v6, v7)) & ! [v6] : ( ~ grain(v6) | plant(v6)) & ! [v6] : ( ~ snail(v6) | animal(v6)) & ! [v6] : ( ~ snail(v6) | ? [v7] : (eats(v6, v7) & plant(v7))) & ! [v6] : ( ~ caterpillar(v6) | animal(v6)) & ! [v6] : ( ~ caterpillar(v6) | ? [v7] : (eats(v6, v7) & plant(v7))) & ! [v6] : ( ~ bird(v6) | animal(v6)) & ! [v6] : ( ~ fox(v6) | animal(v6)) & ! [v6] : ( ~ wolf(v6) | animal(v6))) % 3.22/1.49 | 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 yields: % 3.22/1.49 | (1) grain(all_0_5_5) & snail(all_0_4_4) & caterpillar(all_0_3_3) & bird(all_0_2_2) & fox(all_0_1_1) & wolf(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] : ( ~ 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)) % 3.22/1.50 | % 3.22/1.50 | Applying alpha-rule on (1) yields: % 3.22/1.50 | (2) ! [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)) % 3.22/1.50 | (3) ! [v0] : ( ~ wolf(v0) | animal(v0)) % 3.22/1.50 | (4) ! [v0] : ( ~ fox(v0) | animal(v0)) % 3.22/1.50 | (5) ! [v0] : ! [v1] : ( ~ eats(v0, v1) | ~ snail(v1) | ~ bird(v0)) % 3.22/1.50 | (6) ! [v0] : ( ~ bird(v0) | animal(v0)) % 3.22/1.50 | (7) ! [v0] : ( ~ grain(v0) | plant(v0)) % 3.22/1.50 | (8) fox(all_0_1_1) % 3.22/1.50 | (9) ! [v0] : ( ~ snail(v0) | animal(v0)) % 3.22/1.50 | (10) ! [v0] : ( ~ caterpillar(v0) | animal(v0)) % 3.22/1.50 | (11) ! [v0] : ( ~ snail(v0) | ? [v1] : (eats(v0, v1) & plant(v1))) % 3.22/1.50 | (12) ! [v0] : ( ~ caterpillar(v0) | ? [v1] : (eats(v0, v1) & plant(v1))) % 3.22/1.50 | (13) ! [v0] : ! [v1] : ( ~ bird(v0) | ~ fox(v1) | much_smaller(v0, v1)) % 3.22/1.50 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ eats(v1, v2) | ~ eats(v0, v1) | ~ grain(v2) | ~ animal(v1) | ~ animal(v0)) % 3.22/1.51 | (15) snail(all_0_4_4) % 3.22/1.51 | (16) ! [v0] : ! [v1] : ( ~ fox(v0) | ~ wolf(v1) | much_smaller(v0, v1)) % 3.22/1.51 | (17) ! [v0] : ! [v1] : ( ~ caterpillar(v1) | ~ bird(v0) | much_smaller(v1, v0)) % 3.22/1.51 | (18) ! [v0] : ! [v1] : ( ~ snail(v1) | ~ bird(v0) | much_smaller(v1, v0)) % 3.22/1.51 | (19) ! [v0] : ! [v1] : ( ~ eats(v0, v1) | ~ grain(v1) | ~ wolf(v0)) % 3.22/1.51 | (20) wolf(all_0_0_0) % 3.22/1.51 | (21) grain(all_0_5_5) % 3.22/1.51 | (22) ! [v0] : ! [v1] : ( ~ eats(v0, v1) | ~ fox(v1) | ~ wolf(v0)) % 3.22/1.51 | (23) caterpillar(all_0_3_3) % 3.22/1.51 | (24) bird(all_0_2_2) % 3.22/1.51 | (25) ! [v0] : ! [v1] : ( ~ caterpillar(v1) | ~ bird(v0) | eats(v0, v1)) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (7) with all_0_5_5 and discharging atoms grain(all_0_5_5), yields: % 3.22/1.51 | (26) plant(all_0_5_5) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (9) with all_0_4_4 and discharging atoms snail(all_0_4_4), yields: % 3.22/1.51 | (27) animal(all_0_4_4) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (11) with all_0_4_4 and discharging atoms snail(all_0_4_4), yields: % 3.22/1.51 | (28) ? [v0] : (eats(all_0_4_4, v0) & plant(v0)) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (18) with all_0_4_4, all_0_2_2 and discharging atoms snail(all_0_4_4), bird(all_0_2_2), yields: % 3.22/1.51 | (29) much_smaller(all_0_4_4, all_0_2_2) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (6) with all_0_2_2 and discharging atoms bird(all_0_2_2), yields: % 3.22/1.51 | (30) animal(all_0_2_2) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (13) with all_0_1_1, all_0_2_2 and discharging atoms bird(all_0_2_2), fox(all_0_1_1), yields: % 3.22/1.51 | (31) much_smaller(all_0_2_2, all_0_1_1) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (4) with all_0_1_1 and discharging atoms fox(all_0_1_1), yields: % 3.22/1.51 | (32) animal(all_0_1_1) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (16) with all_0_0_0, all_0_1_1 and discharging atoms fox(all_0_1_1), wolf(all_0_0_0), yields: % 3.22/1.51 | (33) much_smaller(all_0_1_1, all_0_0_0) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (3) with all_0_0_0 and discharging atoms wolf(all_0_0_0), yields: % 3.22/1.51 | (34) animal(all_0_0_0) % 3.22/1.51 | % 3.22/1.51 | Instantiating (28) with all_11_0_7 yields: % 3.22/1.51 | (35) eats(all_0_4_4, all_11_0_7) & plant(all_11_0_7) % 3.22/1.51 | % 3.22/1.51 | Applying alpha-rule on (35) yields: % 3.22/1.51 | (36) eats(all_0_4_4, all_11_0_7) % 3.22/1.51 | (37) plant(all_11_0_7) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (2) with all_0_5_5, all_11_0_7, all_0_4_4, all_0_2_2 and discharging atoms much_smaller(all_0_4_4, all_0_2_2), eats(all_0_4_4, all_11_0_7), plant(all_11_0_7), plant(all_0_5_5), animal(all_0_2_2), animal(all_0_4_4), yields: % 3.22/1.51 | (38) eats(all_0_2_2, all_0_4_4) | eats(all_0_2_2, all_0_5_5) % 3.22/1.51 | % 3.22/1.51 +-Applying beta-rule and splitting (38), into two cases. % 3.22/1.51 |-Branch one: % 3.22/1.51 | (39) eats(all_0_2_2, all_0_4_4) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (5) with all_0_4_4, all_0_2_2 and discharging atoms eats(all_0_2_2, all_0_4_4), snail(all_0_4_4), bird(all_0_2_2), yields: % 3.22/1.51 | (40) $false % 3.22/1.51 | % 3.22/1.51 |-The branch is then unsatisfiable % 3.22/1.51 |-Branch two: % 3.22/1.51 | (41) ~ eats(all_0_2_2, all_0_4_4) % 3.22/1.51 | (42) eats(all_0_2_2, all_0_5_5) % 3.22/1.51 | % 3.22/1.51 | Instantiating formula (2) with all_0_5_5, all_0_5_5, all_0_2_2, all_0_1_1 and discharging atoms much_smaller(all_0_2_2, all_0_1_1), eats(all_0_2_2, all_0_5_5), plant(all_0_5_5), animal(all_0_1_1), animal(all_0_2_2), yields: % 3.22/1.52 | (43) eats(all_0_1_1, all_0_2_2) | eats(all_0_1_1, all_0_5_5) % 3.22/1.52 | % 3.22/1.52 +-Applying beta-rule and splitting (43), into two cases. % 3.22/1.52 |-Branch one: % 3.22/1.52 | (44) eats(all_0_1_1, all_0_2_2) % 3.22/1.52 | % 3.22/1.52 | Instantiating formula (14) with all_0_5_5, all_0_2_2, all_0_1_1 and discharging atoms eats(all_0_1_1, all_0_2_2), eats(all_0_2_2, all_0_5_5), grain(all_0_5_5), animal(all_0_1_1), animal(all_0_2_2), yields: % 3.22/1.52 | (40) $false % 3.22/1.52 | % 3.22/1.52 |-The branch is then unsatisfiable % 3.22/1.52 |-Branch two: % 3.22/1.52 | (46) ~ eats(all_0_1_1, all_0_2_2) % 3.22/1.52 | (47) eats(all_0_1_1, all_0_5_5) % 3.22/1.52 | % 3.22/1.52 | Instantiating formula (2) with all_0_5_5, all_0_5_5, all_0_1_1, all_0_0_0 and discharging atoms much_smaller(all_0_1_1, all_0_0_0), eats(all_0_1_1, all_0_5_5), plant(all_0_5_5), animal(all_0_0_0), animal(all_0_1_1), yields: % 3.22/1.52 | (48) eats(all_0_0_0, all_0_1_1) | eats(all_0_0_0, all_0_5_5) % 3.22/1.52 | % 3.22/1.52 +-Applying beta-rule and splitting (48), into two cases. % 3.22/1.52 |-Branch one: % 3.22/1.52 | (49) eats(all_0_0_0, all_0_1_1) % 3.22/1.52 | % 3.22/1.52 | Instantiating formula (22) with all_0_1_1, all_0_0_0 and discharging atoms eats(all_0_0_0, all_0_1_1), fox(all_0_1_1), wolf(all_0_0_0), yields: % 3.22/1.52 | (40) $false % 3.22/1.52 | % 3.22/1.52 |-The branch is then unsatisfiable % 3.22/1.52 |-Branch two: % 3.22/1.52 | (51) ~ eats(all_0_0_0, all_0_1_1) % 3.22/1.52 | (52) eats(all_0_0_0, all_0_5_5) % 3.22/1.52 | % 3.22/1.52 | Instantiating formula (19) with all_0_5_5, all_0_0_0 and discharging atoms eats(all_0_0_0, all_0_5_5), grain(all_0_5_5), wolf(all_0_0_0), yields: % 3.22/1.52 | (40) $false % 3.22/1.52 | % 3.22/1.52 |-The branch is then unsatisfiable % 3.22/1.52 % SZS output end Proof for theBenchmark % 3.22/1.52 % 3.22/1.52 889ms %------------------------------------------------------------------------------