%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0. % 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 : Mon Jul 18 18:08:53 EDT 2022 % Result : Theorem 3.55s 1.55s % Output : Proof 6.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n027.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Sun May 29 01:25:44 EDT 2022 % 0.13/0.33 % CPUTime : % 0.49/0.62 ____ _ % 0.49/0.62 ___ / __ \_____(_)___ ________ __________ % 0.49/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.49/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.49/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.49/0.62 % 0.49/0.62 A Theorem Prover for First-Order Logic % 0.49/0.62 (ePrincess v.1.0) % 0.49/0.62 % 0.49/0.62 (c) Philipp Rümmer, 2009-2015 % 0.49/0.62 (c) Peter Backeman, 2014-2015 % 0.49/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.49/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.49/0.62 Bug reports to peter@backeman.se % 0.49/0.62 % 0.49/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.49/0.62 % 0.49/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.66/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.49/0.96 Prover 0: Preprocessing ... % 1.90/1.12 Prover 0: Constructing countermodel ... % 3.55/1.55 Prover 0: proved (872ms) % 3.55/1.55 % 3.55/1.55 No countermodel exists, formula is valid % 3.55/1.55 % SZS status Theorem for theBenchmark % 3.55/1.55 % 3.55/1.55 Generating proof ... found it (size 24) % 5.81/2.08 % 5.81/2.08 % SZS output start Proof for theBenchmark % 5.81/2.08 Assumed formulas after preprocessing and simplification: % 5.81/2.08 | (0) p(south, south, south, south, start) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (take_cabbage(v2) = v1) | ~ (take_cabbage(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (take_goat(v2) = v1) | ~ (take_goat(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (take_wolf(v2) = v1) | ~ (take_wolf(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (go_alone(v2) = v1) | ~ (go_alone(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ p(north, v0, north, v1, v2) | ? [v3] : (take_goat(v2) = v3 & p(south, v0, south, v1, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ p(south, v0, south, v1, v2) | ? [v3] : (take_goat(v2) = v3 & p(north, v0, north, v1, v3))) & ! [v0] : ~ p(north, north, north, north, v0) & ! [v0] : ( ~ p(north, north, north, south, v0) | ? [v1] : (take_wolf(v0) = v1 & p(south, south, north, south, v1))) & ! [v0] : ( ~ p(north, north, south, north, v0) | ? [v1] : (take_cabbage(v0) = v1 & p(south, north, south, south, v1))) & ! [v0] : ( ~ p(north, north, south, north, v0) | ? [v1] : (take_wolf(v0) = v1 & p(south, south, south, north, v1))) & ! [v0] : ( ~ p(north, north, south, north, v0) | ? [v1] : (go_alone(v0) = v1 & p(south, north, south, north, v1))) & ! [v0] : ( ~ p(north, south, north, north, v0) | ? [v1] : (take_cabbage(v0) = v1 & p(south, south, north, south, v1))) & ! [v0] : ( ~ p(north, south, north, south, v0) | ? [v1] : (go_alone(v0) = v1 & p(south, south, north, south, v1))) & ! [v0] : ( ~ p(south, north, south, north, v0) | ? [v1] : (go_alone(v0) = v1 & p(north, north, south, north, v1))) & ! [v0] : ( ~ p(south, north, south, south, v0) | ? [v1] : (take_cabbage(v0) = v1 & p(north, north, south, north, v1))) & ! [v0] : ( ~ p(south, south, north, south, v0) | ? [v1] : (take_cabbage(v0) = v1 & p(north, south, north, north, v1))) & ! [v0] : ( ~ p(south, south, north, south, v0) | ? [v1] : (take_wolf(v0) = v1 & p(north, north, north, south, v1))) & ! [v0] : ( ~ p(south, south, north, south, v0) | ? [v1] : (go_alone(v0) = v1 & p(north, south, north, south, v1))) & ! [v0] : ( ~ p(south, south, south, north, v0) | ? [v1] : (take_wolf(v0) = v1 & p(north, north, south, north, v1))) % 6.03/2.12 | Applying alpha-rule on (0) yields: % 6.03/2.12 | (1) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (go_alone(v2) = v1) | ~ (go_alone(v2) = v0)) % 6.03/2.12 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ p(south, v0, south, v1, v2) | ? [v3] : (take_goat(v2) = v3 & p(north, v0, north, v1, v3))) % 6.03/2.12 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ p(north, v0, north, v1, v2) | ? [v3] : (take_goat(v2) = v3 & p(south, v0, south, v1, v3))) % 6.03/2.12 | (4) ! [v0] : ~ p(north, north, north, north, v0) % 6.03/2.12 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (take_goat(v2) = v1) | ~ (take_goat(v2) = v0)) % 6.03/2.12 | (6) ! [v0] : ( ~ p(south, north, south, south, v0) | ? [v1] : (take_cabbage(v0) = v1 & p(north, north, south, north, v1))) % 6.03/2.12 | (7) ! [v0] : ( ~ p(north, north, south, north, v0) | ? [v1] : (take_cabbage(v0) = v1 & p(south, north, south, south, v1))) % 6.03/2.12 | (8) p(south, south, south, south, start) % 6.03/2.12 | (9) ! [v0] : ( ~ p(south, north, south, north, v0) | ? [v1] : (go_alone(v0) = v1 & p(north, north, south, north, v1))) % 6.03/2.12 | (10) ! [v0] : ( ~ p(north, north, south, north, v0) | ? [v1] : (go_alone(v0) = v1 & p(south, north, south, north, v1))) % 6.03/2.12 | (11) ! [v0] : ( ~ p(south, south, north, south, v0) | ? [v1] : (take_cabbage(v0) = v1 & p(north, south, north, north, v1))) % 6.03/2.13 | (12) ! [v0] : ( ~ p(north, south, north, north, v0) | ? [v1] : (take_cabbage(v0) = v1 & p(south, south, north, south, v1))) % 6.03/2.13 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (take_cabbage(v2) = v1) | ~ (take_cabbage(v2) = v0)) % 6.03/2.13 | (14) ! [v0] : ( ~ p(south, south, south, north, v0) | ? [v1] : (take_wolf(v0) = v1 & p(north, north, south, north, v1))) % 6.03/2.13 | (15) ! [v0] : ( ~ p(north, north, south, north, v0) | ? [v1] : (take_wolf(v0) = v1 & p(south, south, south, north, v1))) % 6.03/2.13 | (16) ! [v0] : ( ~ p(south, south, north, south, v0) | ? [v1] : (take_wolf(v0) = v1 & p(north, north, north, south, v1))) % 6.03/2.13 | (17) ! [v0] : ( ~ p(north, north, north, south, v0) | ? [v1] : (take_wolf(v0) = v1 & p(south, south, north, south, v1))) % 6.03/2.13 | (18) ! [v0] : ( ~ p(south, south, north, south, v0) | ? [v1] : (go_alone(v0) = v1 & p(north, south, north, south, v1))) % 6.03/2.13 | (19) ! [v0] : ( ~ p(north, south, north, south, v0) | ? [v1] : (go_alone(v0) = v1 & p(south, south, north, south, v1))) % 6.03/2.13 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (take_wolf(v2) = v1) | ~ (take_wolf(v2) = v0)) % 6.03/2.13 | % 6.03/2.13 | Instantiating formula (2) with start, south, south and discharging atoms p(south, south, south, south, start), yields: % 6.03/2.13 | (21) ? [v0] : (take_goat(start) = v0 & p(north, south, north, south, v0)) % 6.03/2.13 | % 6.03/2.13 | Instantiating (21) with all_7_0_0 yields: % 6.03/2.13 | (22) take_goat(start) = all_7_0_0 & p(north, south, north, south, all_7_0_0) % 6.03/2.13 | % 6.03/2.13 | Applying alpha-rule on (22) yields: % 6.03/2.13 | (23) take_goat(start) = all_7_0_0 % 6.03/2.13 | (24) p(north, south, north, south, all_7_0_0) % 6.03/2.13 | % 6.03/2.13 | Instantiating formula (19) with all_7_0_0 and discharging atoms p(north, south, north, south, all_7_0_0), yields: % 6.03/2.13 | (25) ? [v0] : (go_alone(all_7_0_0) = v0 & p(south, south, north, south, v0)) % 6.03/2.13 | % 6.03/2.13 | Instantiating (25) with all_16_0_2 yields: % 6.03/2.13 | (26) go_alone(all_7_0_0) = all_16_0_2 & p(south, south, north, south, all_16_0_2) % 6.03/2.13 | % 6.03/2.13 | Applying alpha-rule on (26) yields: % 6.03/2.13 | (27) go_alone(all_7_0_0) = all_16_0_2 % 6.03/2.13 | (28) p(south, south, north, south, all_16_0_2) % 6.03/2.13 | % 6.03/2.13 | Instantiating formula (11) with all_16_0_2 and discharging atoms p(south, south, north, south, all_16_0_2), yields: % 6.03/2.13 | (29) ? [v0] : (take_cabbage(all_16_0_2) = v0 & p(north, south, north, north, v0)) % 6.03/2.13 | % 6.03/2.13 | Instantiating (29) with all_27_0_5 yields: % 6.03/2.13 | (30) take_cabbage(all_16_0_2) = all_27_0_5 & p(north, south, north, north, all_27_0_5) % 6.03/2.13 | % 6.03/2.13 | Applying alpha-rule on (30) yields: % 6.03/2.13 | (31) take_cabbage(all_16_0_2) = all_27_0_5 % 6.03/2.13 | (32) p(north, south, north, north, all_27_0_5) % 6.03/2.13 | % 6.03/2.13 | Instantiating formula (3) with all_27_0_5, north, south and discharging atoms p(north, south, north, north, all_27_0_5), yields: % 6.03/2.13 | (33) ? [v0] : (take_goat(all_27_0_5) = v0 & p(south, south, south, north, v0)) % 6.03/2.13 | % 6.03/2.13 | Instantiating (33) with all_44_0_11 yields: % 6.03/2.13 | (34) take_goat(all_27_0_5) = all_44_0_11 & p(south, south, south, north, all_44_0_11) % 6.03/2.13 | % 6.03/2.13 | Applying alpha-rule on (34) yields: % 6.03/2.13 | (35) take_goat(all_27_0_5) = all_44_0_11 % 6.03/2.13 | (36) p(south, south, south, north, all_44_0_11) % 6.03/2.13 | % 6.03/2.13 | Instantiating formula (14) with all_44_0_11 and discharging atoms p(south, south, south, north, all_44_0_11), yields: % 6.03/2.13 | (37) ? [v0] : (take_wolf(all_44_0_11) = v0 & p(north, north, south, north, v0)) % 6.03/2.13 | % 6.03/2.13 | Instantiating (37) with all_73_0_23 yields: % 6.03/2.13 | (38) take_wolf(all_44_0_11) = all_73_0_23 & p(north, north, south, north, all_73_0_23) % 6.03/2.13 | % 6.03/2.13 | Applying alpha-rule on (38) yields: % 6.03/2.13 | (39) take_wolf(all_44_0_11) = all_73_0_23 % 6.03/2.13 | (40) p(north, north, south, north, all_73_0_23) % 6.03/2.13 | % 6.03/2.13 | Instantiating formula (10) with all_73_0_23 and discharging atoms p(north, north, south, north, all_73_0_23), yields: % 6.03/2.13 | (41) ? [v0] : (go_alone(all_73_0_23) = v0 & p(south, north, south, north, v0)) % 6.03/2.14 | % 6.03/2.14 | Instantiating (41) with all_118_0_43 yields: % 6.03/2.14 | (42) go_alone(all_73_0_23) = all_118_0_43 & p(south, north, south, north, all_118_0_43) % 6.03/2.14 | % 6.03/2.14 | Applying alpha-rule on (42) yields: % 6.03/2.14 | (43) go_alone(all_73_0_23) = all_118_0_43 % 6.03/2.14 | (44) p(south, north, south, north, all_118_0_43) % 6.03/2.14 | % 6.03/2.14 | Instantiating formula (2) with all_118_0_43, north, north and discharging atoms p(south, north, south, north, all_118_0_43), yields: % 6.03/2.14 | (45) ? [v0] : (take_goat(all_118_0_43) = v0 & p(north, north, north, north, v0)) % 6.03/2.14 | % 6.03/2.14 | Instantiating (45) with all_237_0_100 yields: % 6.03/2.14 | (46) take_goat(all_118_0_43) = all_237_0_100 & p(north, north, north, north, all_237_0_100) % 6.03/2.14 | % 6.03/2.14 | Applying alpha-rule on (46) yields: % 6.03/2.14 | (47) take_goat(all_118_0_43) = all_237_0_100 % 6.03/2.14 | (48) p(north, north, north, north, all_237_0_100) % 6.03/2.14 | % 6.03/2.14 | Instantiating formula (4) with all_237_0_100 and discharging atoms p(north, north, north, north, all_237_0_100), yields: % 6.03/2.14 | (49) $false % 6.03/2.14 | % 6.03/2.14 |-The branch is then unsatisfiable % 6.03/2.14 % SZS output end Proof for theBenchmark % 6.03/2.14 % 6.03/2.14 1504ms %------------------------------------------------------------------------------