TSTP Solution File: MGT041+2 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT041+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n024.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 : Sun Jul 17 22:07:08 EDT 2022
% Result : Theorem 1.85s 1.11s
% Output : Proof 2.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT041+2 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 08:01:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.63/0.64 ____ _
% 0.63/0.64 ___ / __ \_____(_)___ ________ __________
% 0.63/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.63/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.63/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.63/0.64
% 0.63/0.64 A Theorem Prover for First-Order Logic
% 0.63/0.64 (ePrincess v.1.0)
% 0.63/0.64
% 0.63/0.64 (c) Philipp Rümmer, 2009-2015
% 0.63/0.64 (c) Peter Backeman, 2014-2015
% 0.63/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.63/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.63/0.64 Bug reports to peter@backeman.se
% 0.63/0.64
% 0.63/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.63/0.64
% 0.63/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.63/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.44/0.94 Prover 0: Preprocessing ...
% 1.44/1.02 Prover 0: Constructing countermodel ...
% 1.85/1.11 Prover 0: proved (422ms)
% 1.85/1.11
% 1.85/1.11 No countermodel exists, formula is valid
% 1.85/1.11 % SZS status Theorem for theBenchmark
% 1.85/1.11
% 1.85/1.11 Generating proof ... found it (size 9)
% 2.18/1.24
% 2.18/1.24 % SZS output start Proof for theBenchmark
% 2.18/1.24 Assumed formulas after preprocessing and simplification:
% 2.18/1.25 | (0) ? [v0] : ? [v1] : (founding_time(v0, v1) & organisation_at_time(v0, v1) & number_of_routines(v0, v1, high) & ~ has_elaborated_routines(v0, v1) & ! [v2] : ! [v3] : ( ~ first_mover(v2) | ~ founding_time(v2, v3) | ~ organisation_at_time(v2, v3) | number_of_routines(v2, v3, low)) & ! [v2] : ! [v3] : ( ~ founding_time(v2, v3) | ~ efficient_producer(v2) | ~ organisation_at_time(v2, v3) | has_elaborated_routines(v2, v3)) & ! [v2] : ! [v3] : ( ~ organisation_at_time(v2, v3) | first_mover(v2) | efficient_producer(v2)) & ! [v2] : ! [v3] : ( ~ number_of_routines(v2, v3, high) | ~ number_of_routines(v2, v3, low)))
% 2.18/1.25 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 2.18/1.25 | (1) founding_time(all_0_1_1, all_0_0_0) & organisation_at_time(all_0_1_1, all_0_0_0) & number_of_routines(all_0_1_1, all_0_0_0, high) & ~ has_elaborated_routines(all_0_1_1, all_0_0_0) & ! [v0] : ! [v1] : ( ~ first_mover(v0) | ~ founding_time(v0, v1) | ~ organisation_at_time(v0, v1) | number_of_routines(v0, v1, low)) & ! [v0] : ! [v1] : ( ~ founding_time(v0, v1) | ~ efficient_producer(v0) | ~ organisation_at_time(v0, v1) | has_elaborated_routines(v0, v1)) & ! [v0] : ! [v1] : ( ~ organisation_at_time(v0, v1) | first_mover(v0) | efficient_producer(v0)) & ! [v0] : ! [v1] : ( ~ number_of_routines(v0, v1, high) | ~ number_of_routines(v0, v1, low))
% 2.18/1.26 |
% 2.18/1.26 | Applying alpha-rule on (1) yields:
% 2.18/1.26 | (2) ~ has_elaborated_routines(all_0_1_1, all_0_0_0)
% 2.18/1.26 | (3) number_of_routines(all_0_1_1, all_0_0_0, high)
% 2.18/1.26 | (4) founding_time(all_0_1_1, all_0_0_0)
% 2.18/1.26 | (5) ! [v0] : ! [v1] : ( ~ founding_time(v0, v1) | ~ efficient_producer(v0) | ~ organisation_at_time(v0, v1) | has_elaborated_routines(v0, v1))
% 2.18/1.26 | (6) organisation_at_time(all_0_1_1, all_0_0_0)
% 2.18/1.26 | (7) ! [v0] : ! [v1] : ( ~ number_of_routines(v0, v1, high) | ~ number_of_routines(v0, v1, low))
% 2.18/1.26 | (8) ! [v0] : ! [v1] : ( ~ first_mover(v0) | ~ founding_time(v0, v1) | ~ organisation_at_time(v0, v1) | number_of_routines(v0, v1, low))
% 2.18/1.26 | (9) ! [v0] : ! [v1] : ( ~ organisation_at_time(v0, v1) | first_mover(v0) | efficient_producer(v0))
% 2.18/1.26 |
% 2.18/1.26 | Instantiating formula (9) with all_0_0_0, all_0_1_1 and discharging atoms organisation_at_time(all_0_1_1, all_0_0_0), yields:
% 2.18/1.26 | (10) first_mover(all_0_1_1) | efficient_producer(all_0_1_1)
% 2.18/1.26 |
% 2.18/1.26 +-Applying beta-rule and splitting (10), into two cases.
% 2.18/1.26 |-Branch one:
% 2.18/1.26 | (11) first_mover(all_0_1_1)
% 2.18/1.26 |
% 2.18/1.26 | Instantiating formula (8) with all_0_0_0, all_0_1_1 and discharging atoms first_mover(all_0_1_1), founding_time(all_0_1_1, all_0_0_0), organisation_at_time(all_0_1_1, all_0_0_0), yields:
% 2.18/1.26 | (12) number_of_routines(all_0_1_1, all_0_0_0, low)
% 2.18/1.26 |
% 2.18/1.26 | Instantiating formula (7) with all_0_0_0, all_0_1_1 and discharging atoms number_of_routines(all_0_1_1, all_0_0_0, high), number_of_routines(all_0_1_1, all_0_0_0, low), yields:
% 2.18/1.26 | (13) $false
% 2.18/1.27 |
% 2.18/1.27 |-The branch is then unsatisfiable
% 2.18/1.27 |-Branch two:
% 2.18/1.27 | (14) ~ first_mover(all_0_1_1)
% 2.18/1.27 | (15) efficient_producer(all_0_1_1)
% 2.18/1.27 |
% 2.18/1.27 | Instantiating formula (5) with all_0_0_0, all_0_1_1 and discharging atoms founding_time(all_0_1_1, all_0_0_0), efficient_producer(all_0_1_1), organisation_at_time(all_0_1_1, all_0_0_0), ~ has_elaborated_routines(all_0_1_1, all_0_0_0), yields:
% 2.18/1.27 | (13) $false
% 2.18/1.27 |
% 2.18/1.27 |-The branch is then unsatisfiable
% 2.18/1.27 % SZS output end Proof for theBenchmark
% 2.18/1.27
% 2.18/1.27 617ms
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