TSTP Solution File: NUM531+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : NUM531+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n012.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 08:45:33 EDT 2022
% Result : Theorem 1.57s 1.06s
% Output : Proof 2.17s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM531+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n012.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jul 7 07:58:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.62/0.59 ____ _
% 0.62/0.59 ___ / __ \_____(_)___ ________ __________
% 0.62/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.62/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.62/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.62/0.59
% 0.62/0.59 A Theorem Prover for First-Order Logic
% 0.62/0.59 (ePrincess v.1.0)
% 0.62/0.59
% 0.62/0.59 (c) Philipp Rümmer, 2009-2015
% 0.62/0.59 (c) Peter Backeman, 2014-2015
% 0.62/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.62/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.62/0.59 Bug reports to peter@backeman.se
% 0.62/0.59
% 0.62/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.62/0.59
% 0.62/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.34/0.92 Prover 0: Preprocessing ...
% 1.57/1.01 Prover 0: Constructing countermodel ...
% 1.57/1.06 Prover 0: proved (386ms)
% 1.57/1.06
% 1.57/1.06 No countermodel exists, formula is valid
% 1.57/1.06 % SZS status Theorem for theBenchmark
% 1.57/1.06
% 1.57/1.06 Generating proof ... found it (size 3)
% 1.80/1.17
% 1.80/1.17 % SZS output start Proof for theBenchmark
% 1.80/1.17 Assumed formulas after preprocessing and simplification:
% 1.80/1.17 | (0) isCountable0(slcrc0) & isFinite0(slcrc0) & aSet0(slcrc0) & ! [v0] : ! [v1] : ( ~ aElementOf0(v1, v0) | ~ aSet0(v0) | aElement0(v1)) & ! [v0] : (v0 = slcrc0 | ~ aSet0(v0) | ? [v1] : aElementOf0(v1, v0)) & ! [v0] : ( ~ isCountable0(v0) | ~ isFinite0(v0) | ~ aSet0(v0)) & ! [v0] : ~ aElementOf0(v0, slcrc0)
% 1.80/1.18 | Applying alpha-rule on (0) yields:
% 1.80/1.18 | (1) ! [v0] : ! [v1] : ( ~ aElementOf0(v1, v0) | ~ aSet0(v0) | aElement0(v1))
% 1.80/1.18 | (2) ! [v0] : ~ aElementOf0(v0, slcrc0)
% 1.80/1.18 | (3) ! [v0] : (v0 = slcrc0 | ~ aSet0(v0) | ? [v1] : aElementOf0(v1, v0))
% 1.80/1.18 | (4) isCountable0(slcrc0)
% 1.80/1.18 | (5) ! [v0] : ( ~ isCountable0(v0) | ~ isFinite0(v0) | ~ aSet0(v0))
% 1.80/1.18 | (6) aSet0(slcrc0)
% 1.80/1.18 | (7) isFinite0(slcrc0)
% 1.80/1.18 |
% 2.17/1.18 | Instantiating formula (5) with slcrc0 and discharging atoms isCountable0(slcrc0), isFinite0(slcrc0), aSet0(slcrc0), yields:
% 2.17/1.18 | (8) $false
% 2.17/1.18 |
% 2.17/1.18 |-The branch is then unsatisfiable
% 2.17/1.18 % SZS output end Proof for theBenchmark
% 2.17/1.18
% 2.17/1.18 573ms
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