TSTP Solution File: PUZ129+2 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : PUZ129+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 18:08:58 EDT 2022
% Result : Theorem 1.32s 0.91s
% Output : Proof 2.08s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : PUZ129+2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09 % Command : ePrincess-casc -timeout=%d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sat May 28 21:10:25 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.13/0.46 ____ _
% 0.13/0.46 ___ / __ \_____(_)___ ________ __________
% 0.13/0.46 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.13/0.46 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.13/0.46 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.13/0.46
% 0.13/0.46 A Theorem Prover for First-Order Logic
% 0.13/0.46 (ePrincess v.1.0)
% 0.13/0.46
% 0.13/0.46 (c) Philipp Rümmer, 2009-2015
% 0.13/0.46 (c) Peter Backeman, 2014-2015
% 0.13/0.46 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.13/0.46 Free software under GNU Lesser General Public License (LGPL).
% 0.13/0.46 Bug reports to peter@backeman.se
% 0.13/0.46
% 0.13/0.46 For more information, visit http://user.uu.se/~petba168/breu/
% 0.13/0.46
% 0.13/0.46 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.13/0.50 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.04/0.72 Prover 0: Preprocessing ...
% 1.32/0.83 Prover 0: Constructing countermodel ...
% 1.32/0.91 Prover 0: proved (413ms)
% 1.32/0.91
% 1.32/0.91 No countermodel exists, formula is valid
% 1.32/0.91 % SZS status Theorem for theBenchmark
% 1.32/0.91
% 1.32/0.91 Generating proof ... found it (size 8)
% 1.90/1.05
% 1.90/1.05 % SZS output start Proof for theBenchmark
% 1.90/1.05 Assumed formulas after preprocessing and simplification:
% 1.90/1.05 | (0) ? [v0] : (cyclist(v0) & grocer(v0) & ! [v1] : ( ~ cyclist(v1) | ~ property1(v1, unhealthy, pos) | property1(v1, dishonest, pos)) & ! [v1] : ( ~ cyclist(v1) | property1(v1, industrious, pos)) & ! [v1] : ( ~ cyclist(v1) | person(v1)) & ! [v1] : ( ~ grocer(v1) | ~ property1(v1, healthy, pos)) & ! [v1] : ( ~ grocer(v1) | ~ property1(v1, industrious, pos) | property1(v1, honest, pos)) & ! [v1] : ( ~ grocer(v1) | person(v1)) & ! [v1] : ( ~ property1(v1, dishonest, pos) | ~ property1(v1, honest, pos) | ~ person(v1)) & ! [v1] : ( ~ property1(v1, unhealthy, pos) | ~ property1(v1, healthy, pos) | ~ person(v1)) & ! [v1] : ( ~ property1(v1, industrious, pos) | ~ property1(v1, honest, pos) | ~ person(v1) | property1(v1, healthy, pos)))
% 1.90/1.06 | Instantiating (0) with all_0_0_0 yields:
% 1.90/1.06 | (1) cyclist(all_0_0_0) & grocer(all_0_0_0) & ! [v0] : ( ~ cyclist(v0) | ~ property1(v0, unhealthy, pos) | property1(v0, dishonest, pos)) & ! [v0] : ( ~ cyclist(v0) | property1(v0, industrious, pos)) & ! [v0] : ( ~ cyclist(v0) | person(v0)) & ! [v0] : ( ~ grocer(v0) | ~ property1(v0, healthy, pos)) & ! [v0] : ( ~ grocer(v0) | ~ property1(v0, industrious, pos) | property1(v0, honest, pos)) & ! [v0] : ( ~ grocer(v0) | person(v0)) & ! [v0] : ( ~ property1(v0, dishonest, pos) | ~ property1(v0, honest, pos) | ~ person(v0)) & ! [v0] : ( ~ property1(v0, unhealthy, pos) | ~ property1(v0, healthy, pos) | ~ person(v0)) & ! [v0] : ( ~ property1(v0, industrious, pos) | ~ property1(v0, honest, pos) | ~ person(v0) | property1(v0, healthy, pos))
% 1.90/1.07 |
% 1.90/1.07 | Applying alpha-rule on (1) yields:
% 1.90/1.07 | (2) ! [v0] : ( ~ cyclist(v0) | property1(v0, industrious, pos))
% 1.90/1.07 | (3) cyclist(all_0_0_0)
% 1.90/1.07 | (4) ! [v0] : ( ~ grocer(v0) | ~ property1(v0, industrious, pos) | property1(v0, honest, pos))
% 1.90/1.07 | (5) grocer(all_0_0_0)
% 1.90/1.07 | (6) ! [v0] : ( ~ cyclist(v0) | person(v0))
% 1.90/1.07 | (7) ! [v0] : ( ~ cyclist(v0) | ~ property1(v0, unhealthy, pos) | property1(v0, dishonest, pos))
% 1.90/1.07 | (8) ! [v0] : ( ~ property1(v0, dishonest, pos) | ~ property1(v0, honest, pos) | ~ person(v0))
% 1.90/1.07 | (9) ! [v0] : ( ~ property1(v0, industrious, pos) | ~ property1(v0, honest, pos) | ~ person(v0) | property1(v0, healthy, pos))
% 1.90/1.07 | (10) ! [v0] : ( ~ property1(v0, unhealthy, pos) | ~ property1(v0, healthy, pos) | ~ person(v0))
% 1.90/1.07 | (11) ! [v0] : ( ~ grocer(v0) | person(v0))
% 1.90/1.07 | (12) ! [v0] : ( ~ grocer(v0) | ~ property1(v0, healthy, pos))
% 1.90/1.07 |
% 1.90/1.07 | Instantiating formula (2) with all_0_0_0 and discharging atoms cyclist(all_0_0_0), yields:
% 1.90/1.07 | (13) property1(all_0_0_0, industrious, pos)
% 2.08/1.07 |
% 2.08/1.07 | Instantiating formula (11) with all_0_0_0 and discharging atoms grocer(all_0_0_0), yields:
% 2.08/1.07 | (14) person(all_0_0_0)
% 2.08/1.07 |
% 2.08/1.07 | Instantiating formula (4) with all_0_0_0 and discharging atoms grocer(all_0_0_0), property1(all_0_0_0, industrious, pos), yields:
% 2.08/1.07 | (15) property1(all_0_0_0, honest, pos)
% 2.08/1.07 |
% 2.08/1.07 | Instantiating formula (9) with all_0_0_0 and discharging atoms property1(all_0_0_0, industrious, pos), property1(all_0_0_0, honest, pos), person(all_0_0_0), yields:
% 2.08/1.07 | (16) property1(all_0_0_0, healthy, pos)
% 2.08/1.07 |
% 2.08/1.07 | Instantiating formula (12) with all_0_0_0 and discharging atoms grocer(all_0_0_0), property1(all_0_0_0, healthy, pos), yields:
% 2.08/1.07 | (17) $false
% 2.08/1.07 |
% 2.08/1.07 |-The branch is then unsatisfiable
% 2.08/1.07 % SZS output end Proof for theBenchmark
% 2.08/1.07
% 2.08/1.07 607ms
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