%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PUZ131+1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n021.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 18:08:59 EDT 2022 % Result : Theorem 2.02s 1.13s % Output : Proof 2.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : PUZ131+1 : TPTP v8.1.0. Released v4.1.0. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n021.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 May 29 01:42:12 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.57 ____ _ % 0.18/0.57 ___ / __ \_____(_)___ ________ __________ % 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.18/0.58 % 0.18/0.58 A Theorem Prover for First-Order Logic % 0.18/0.58 (ePrincess v.1.0) % 0.18/0.58 % 0.18/0.58 (c) Philipp Rümmer, 2009-2015 % 0.18/0.58 (c) Peter Backeman, 2014-2015 % 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.18/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.18/0.58 Bug reports to peter@backeman.se % 0.18/0.58 % 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.18/0.58 % 0.18/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.72/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.46/0.88 Prover 0: Preprocessing ... % 1.61/1.01 Prover 0: Constructing countermodel ... % 2.02/1.13 Prover 0: proved (507ms) % 2.02/1.13 % 2.02/1.13 No countermodel exists, formula is valid % 2.02/1.13 % SZS status Theorem for theBenchmark % 2.02/1.13 % 2.02/1.13 Generating proof ... found it (size 5) % 2.93/1.33 % 2.93/1.33 % SZS output start Proof for theBenchmark % 2.93/1.33 Assumed formulas after preprocessing and simplification: % 2.93/1.34 | (0) ? [v0] : ? [v1] : ? [v2] : (coordinatorof(csc410) = victor & enrolled(michael, csc410) & course(v0) & course(csc410) & professor(v1) & professor(victor) & student(v2) & student(michael) & ~ taughtby(michael, victor) & ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (coordinatorof(v5) = v4) | ~ (coordinatorof(v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ teaches(v5, v4) | ~ enrolled(v3, v4) | ~ course(v4) | ~ professor(v5) | ~ student(v3) | taughtby(v3, v5)) & ! [v3] : ! [v4] : ( ~ (coordinatorof(v3) = v4) | ~ course(v3) | teaches(v4, v3)) & ! [v3] : ! [v4] : ( ~ (coordinatorof(v3) = v4) | ~ course(v3) | professor(v4)) & ! [v3] : ( ~ course(v3) | ? [v4] : (teaches(v4, v3) & professor(v4))) & ! [v3] : ( ~ course(v3) | ? [v4] : (enrolled(v4, v3) & student(v4))) & ! [v3] : ( ~ professor(v3) | ? [v4] : (teaches(v3, v4) & course(v4))) & ! [v3] : ( ~ student(v3) | ? [v4] : (enrolled(v3, v4) & course(v4)))) % 2.93/1.37 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields: % 2.93/1.37 | (1) coordinatorof(csc410) = victor & enrolled(michael, csc410) & course(all_0_2_2) & course(csc410) & professor(all_0_1_1) & professor(victor) & student(all_0_0_0) & student(michael) & ~ taughtby(michael, victor) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (coordinatorof(v2) = v1) | ~ (coordinatorof(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ teaches(v2, v1) | ~ enrolled(v0, v1) | ~ course(v1) | ~ professor(v2) | ~ student(v0) | taughtby(v0, v2)) & ! [v0] : ! [v1] : ( ~ (coordinatorof(v0) = v1) | ~ course(v0) | teaches(v1, v0)) & ! [v0] : ! [v1] : ( ~ (coordinatorof(v0) = v1) | ~ course(v0) | professor(v1)) & ! [v0] : ( ~ course(v0) | ? [v1] : (teaches(v1, v0) & professor(v1))) & ! [v0] : ( ~ course(v0) | ? [v1] : (enrolled(v1, v0) & student(v1))) & ! [v0] : ( ~ professor(v0) | ? [v1] : (teaches(v0, v1) & course(v1))) & ! [v0] : ( ~ student(v0) | ? [v1] : (enrolled(v0, v1) & course(v1))) % 2.93/1.38 | % 2.93/1.38 | Applying alpha-rule on (1) yields: % 2.93/1.38 | (2) ! [v0] : ( ~ course(v0) | ? [v1] : (teaches(v1, v0) & professor(v1))) % 2.93/1.38 | (3) ! [v0] : ( ~ student(v0) | ? [v1] : (enrolled(v0, v1) & course(v1))) % 2.93/1.38 | (4) enrolled(michael, csc410) % 2.93/1.38 | (5) professor(all_0_1_1) % 2.93/1.38 | (6) course(csc410) % 2.93/1.38 | (7) ~ taughtby(michael, victor) % 2.93/1.38 | (8) ! [v0] : ( ~ course(v0) | ? [v1] : (enrolled(v1, v0) & student(v1))) % 2.93/1.38 | (9) ! [v0] : ! [v1] : ( ~ (coordinatorof(v0) = v1) | ~ course(v0) | professor(v1)) % 2.93/1.38 | (10) ! [v0] : ( ~ professor(v0) | ? [v1] : (teaches(v0, v1) & course(v1))) % 2.93/1.38 | (11) student(michael) % 2.93/1.38 | (12) coordinatorof(csc410) = victor % 2.93/1.38 | (13) professor(victor) % 2.93/1.38 | (14) student(all_0_0_0) % 2.93/1.38 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ teaches(v2, v1) | ~ enrolled(v0, v1) | ~ course(v1) | ~ professor(v2) | ~ student(v0) | taughtby(v0, v2)) % 2.93/1.38 | (16) ! [v0] : ! [v1] : ( ~ (coordinatorof(v0) = v1) | ~ course(v0) | teaches(v1, v0)) % 2.93/1.38 | (17) course(all_0_2_2) % 2.93/1.38 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (coordinatorof(v2) = v1) | ~ (coordinatorof(v2) = v0)) % 2.93/1.38 | % 2.93/1.38 | Instantiating formula (16) with victor, csc410 and discharging atoms coordinatorof(csc410) = victor, course(csc410), yields: % 2.93/1.38 | (19) teaches(victor, csc410) % 2.93/1.38 | % 2.93/1.38 | Instantiating formula (15) with victor, csc410, michael and discharging atoms teaches(victor, csc410), enrolled(michael, csc410), course(csc410), professor(victor), student(michael), ~ taughtby(michael, victor), yields: % 2.93/1.38 | (20) $false % 2.93/1.38 | % 2.93/1.38 |-The branch is then unsatisfiable % 2.93/1.38 % SZS output end Proof for theBenchmark % 2.93/1.38 % 2.93/1.38 799ms %------------------------------------------------------------------------------