TSTP Solution File: SYN054+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN054+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 : Thu Jul 21 04:59:26 EDT 2022
% Result : Theorem 1.50s 1.00s
% Output : Proof 1.93s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN054+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Tue Jul 12 09:11:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.52/0.59 ____ _
% 0.52/0.59 ___ / __ \_____(_)___ ________ __________
% 0.52/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.59
% 0.52/0.59 A Theorem Prover for First-Order Logic
% 0.52/0.59 (ePrincess v.1.0)
% 0.52/0.59
% 0.52/0.59 (c) Philipp Rümmer, 2009-2015
% 0.52/0.59 (c) Peter Backeman, 2014-2015
% 0.52/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.59 Bug reports to peter@backeman.se
% 0.52/0.60
% 0.52/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.60
% 0.52/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.28/0.88 Prover 0: Preprocessing ...
% 1.44/0.94 Prover 0: Constructing countermodel ...
% 1.50/1.00 Prover 0: proved (355ms)
% 1.50/1.00
% 1.50/1.00 No countermodel exists, formula is valid
% 1.50/1.00 % SZS status Theorem for theBenchmark
% 1.50/1.00
% 1.50/1.00 Generating proof ... found it (size 9)
% 1.93/1.12
% 1.93/1.12 % SZS output start Proof for theBenchmark
% 1.93/1.12 Assumed formulas after preprocessing and simplification:
% 1.93/1.12 | (0) ? [v0] : ( ! [v1] : ( ~ big_r(v1) | ~ big_p(v1)) & ! [v1] : ( ~ big_r(v1) | big_s(v1)) & ! [v1] : ( ~ big_p(v1) | big_r(v1) | big_q(v1)) & ! [v1] : ( ~ big_q(v1) | ~ big_s(v1)) & ! [v1] : ( ~ big_q(v1) | big_s(v1)) & (big_p(v0) | big_q(v0)))
% 1.93/1.13 | Instantiating (0) with all_0_0_0 yields:
% 1.93/1.13 | (1) ! [v0] : ( ~ big_r(v0) | ~ big_p(v0)) & ! [v0] : ( ~ big_r(v0) | big_s(v0)) & ! [v0] : ( ~ big_p(v0) | big_r(v0) | big_q(v0)) & ! [v0] : ( ~ big_q(v0) | ~ big_s(v0)) & ! [v0] : ( ~ big_q(v0) | big_s(v0)) & (big_p(all_0_0_0) | big_q(all_0_0_0))
% 1.93/1.13 |
% 1.93/1.13 | Applying alpha-rule on (1) yields:
% 1.93/1.13 | (2) ! [v0] : ( ~ big_q(v0) | ~ big_s(v0))
% 1.93/1.13 | (3) ! [v0] : ( ~ big_r(v0) | big_s(v0))
% 1.93/1.13 | (4) big_p(all_0_0_0) | big_q(all_0_0_0)
% 1.93/1.13 | (5) ! [v0] : ( ~ big_q(v0) | big_s(v0))
% 1.93/1.13 | (6) ! [v0] : ( ~ big_r(v0) | ~ big_p(v0))
% 1.93/1.13 | (7) ! [v0] : ( ~ big_p(v0) | big_r(v0) | big_q(v0))
% 1.93/1.13 |
% 1.93/1.13 +-Applying beta-rule and splitting (4), into two cases.
% 1.93/1.13 |-Branch one:
% 1.93/1.13 | (8) big_q(all_0_0_0)
% 1.93/1.13 |
% 1.93/1.13 | Instantiating formula (5) with all_0_0_0 and discharging atoms big_q(all_0_0_0), yields:
% 1.93/1.13 | (9) big_s(all_0_0_0)
% 1.93/1.13 |
% 1.93/1.13 | Instantiating formula (2) with all_0_0_0 and discharging atoms big_q(all_0_0_0), big_s(all_0_0_0), yields:
% 1.93/1.13 | (10) $false
% 1.93/1.13 |
% 1.93/1.14 |-The branch is then unsatisfiable
% 1.93/1.14 |-Branch two:
% 1.93/1.14 | (11) ~ big_q(all_0_0_0)
% 1.93/1.14 | (12) big_p(all_0_0_0)
% 1.93/1.14 |
% 1.93/1.14 | Instantiating formula (7) with all_0_0_0 and discharging atoms big_p(all_0_0_0), ~ big_q(all_0_0_0), yields:
% 1.93/1.14 | (13) big_r(all_0_0_0)
% 1.93/1.14 |
% 1.93/1.14 | Instantiating formula (6) with all_0_0_0 and discharging atoms big_r(all_0_0_0), big_p(all_0_0_0), yields:
% 1.93/1.14 | (10) $false
% 1.93/1.14 |
% 1.93/1.14 |-The branch is then unsatisfiable
% 1.93/1.14 % SZS output end Proof for theBenchmark
% 1.93/1.14
% 1.93/1.14 533ms
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