TSTP Solution File: PUZ131+1 by ePrincess---1.0
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- Process Solution
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% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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