TSTP Solution File: SYN392+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN392+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n016.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 05:02:04 EDT 2022
% Result : Theorem 1.41s 0.95s
% Output : Proof 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN392+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 17:20:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.59 ____ _
% 0.59/0.59 ___ / __ \_____(_)___ ________ __________
% 0.59/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.59/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.59/0.59
% 0.59/0.59 A Theorem Prover for First-Order Logic
% 0.59/0.59 (ePrincess v.1.0)
% 0.59/0.59
% 0.59/0.59 (c) Philipp Rümmer, 2009-2015
% 0.59/0.59 (c) Peter Backeman, 2014-2015
% 0.59/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.59 Bug reports to peter@backeman.se
% 0.59/0.59
% 0.59/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.59
% 0.59/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.11/0.86 Prover 0: Preprocessing ...
% 1.29/0.90 Prover 0: Constructing countermodel ...
% 1.41/0.95 Prover 0: proved (282ms)
% 1.41/0.95
% 1.41/0.95 No countermodel exists, formula is valid
% 1.41/0.95 % SZS status Theorem for theBenchmark
% 1.41/0.95
% 1.41/0.95 Generating proof ... found it (size 38)
% 1.66/1.06
% 1.66/1.06 % SZS output start Proof for theBenchmark
% 1.66/1.06 Assumed formulas after preprocessing and simplification:
% 1.66/1.06 | (0) (( ~ p2 | p1) & ( ~ p1 | p2) & ((p2 & ~ p1) | (p1 & ~ p2))) | (((p2 & p1) | ( ~ p2 & ~ p1)) & ((p2 & ~ p1) | (p1 & ~ p2)))
% 1.66/1.07 +-Applying beta-rule and splitting (0), into two cases.
% 1.66/1.07 |-Branch one:
% 1.66/1.07 | (1) ( ~ p2 | p1) & ( ~ p1 | p2) & ((p2 & ~ p1) | (p1 & ~ p2))
% 1.66/1.07 |
% 1.66/1.07 | Applying alpha-rule on (1) yields:
% 1.66/1.07 | (2) ~ p2 | p1
% 1.66/1.07 | (3) ~ p1 | p2
% 1.66/1.07 | (4) (p2 & ~ p1) | (p1 & ~ p2)
% 1.66/1.07 |
% 1.66/1.07 +-Applying beta-rule and splitting (3), into two cases.
% 1.66/1.07 |-Branch one:
% 1.66/1.07 | (5) ~ p1
% 1.66/1.07 |
% 1.66/1.07 +-Applying beta-rule and splitting (2), into two cases.
% 1.66/1.07 |-Branch one:
% 1.66/1.07 | (6) ~ p2
% 1.66/1.07 |
% 1.66/1.07 +-Applying beta-rule and splitting (4), into two cases.
% 1.66/1.07 |-Branch one:
% 1.66/1.07 | (7) p2 & ~ p1
% 1.66/1.07 |
% 1.66/1.07 | Applying alpha-rule on (7) yields:
% 1.66/1.07 | (8) p2
% 1.66/1.07 | (5) ~ p1
% 1.66/1.07 |
% 1.66/1.07 | Using (8) and (6) yields:
% 1.66/1.07 | (10) $false
% 1.66/1.07 |
% 1.66/1.07 |-The branch is then unsatisfiable
% 1.66/1.07 |-Branch two:
% 1.66/1.07 | (11) p1 & ~ p2
% 1.66/1.07 |
% 1.66/1.07 | Applying alpha-rule on (11) yields:
% 1.66/1.07 | (12) p1
% 1.66/1.07 | (6) ~ p2
% 1.66/1.07 |
% 1.66/1.07 | Using (12) and (5) yields:
% 1.66/1.07 | (10) $false
% 1.66/1.07 |
% 1.66/1.07 |-The branch is then unsatisfiable
% 1.66/1.07 |-Branch two:
% 1.66/1.07 | (8) p2
% 1.66/1.07 | (12) p1
% 1.66/1.07 |
% 1.66/1.07 | Using (12) and (5) yields:
% 1.66/1.07 | (10) $false
% 1.66/1.07 |
% 1.66/1.07 |-The branch is then unsatisfiable
% 1.66/1.07 |-Branch two:
% 1.66/1.07 | (12) p1
% 1.66/1.07 | (8) p2
% 1.66/1.08 |
% 1.66/1.08 +-Applying beta-rule and splitting (4), into two cases.
% 1.66/1.08 |-Branch one:
% 1.66/1.08 | (7) p2 & ~ p1
% 1.66/1.08 |
% 1.66/1.08 | Applying alpha-rule on (7) yields:
% 1.66/1.08 | (8) p2
% 1.66/1.08 | (5) ~ p1
% 1.66/1.08 |
% 1.66/1.08 | Using (12) and (5) yields:
% 1.66/1.08 | (10) $false
% 1.66/1.08 |
% 1.66/1.08 |-The branch is then unsatisfiable
% 1.66/1.08 |-Branch two:
% 1.66/1.08 | (11) p1 & ~ p2
% 1.66/1.08 |
% 1.66/1.08 | Applying alpha-rule on (11) yields:
% 1.66/1.08 | (12) p1
% 1.66/1.08 | (6) ~ p2
% 1.66/1.08 |
% 1.66/1.08 | Using (8) and (6) yields:
% 1.66/1.08 | (10) $false
% 1.66/1.08 |
% 1.66/1.08 |-The branch is then unsatisfiable
% 1.66/1.08 |-Branch two:
% 1.66/1.08 | (28) ((p2 & p1) | ( ~ p2 & ~ p1)) & ((p2 & ~ p1) | (p1 & ~ p2))
% 1.66/1.08 |
% 1.66/1.08 | Applying alpha-rule on (28) yields:
% 1.66/1.08 | (29) (p2 & p1) | ( ~ p2 & ~ p1)
% 1.66/1.08 | (4) (p2 & ~ p1) | (p1 & ~ p2)
% 1.66/1.08 |
% 1.66/1.08 +-Applying beta-rule and splitting (4), into two cases.
% 1.66/1.08 |-Branch one:
% 1.66/1.08 | (7) p2 & ~ p1
% 1.66/1.08 |
% 1.66/1.08 | Applying alpha-rule on (7) yields:
% 1.66/1.08 | (8) p2
% 1.66/1.08 | (5) ~ p1
% 1.66/1.08 |
% 1.66/1.08 +-Applying beta-rule and splitting (29), into two cases.
% 1.66/1.08 |-Branch one:
% 1.66/1.08 | (34) p2 & p1
% 1.66/1.08 |
% 1.66/1.08 | Applying alpha-rule on (34) yields:
% 1.66/1.08 | (8) p2
% 1.66/1.08 | (12) p1
% 1.66/1.08 |
% 1.66/1.08 | Using (12) and (5) yields:
% 1.66/1.08 | (10) $false
% 1.66/1.08 |
% 1.66/1.08 |-The branch is then unsatisfiable
% 1.66/1.08 |-Branch two:
% 1.66/1.08 | (38) ~ p2 & ~ p1
% 1.66/1.08 |
% 1.66/1.08 | Applying alpha-rule on (38) yields:
% 1.66/1.08 | (6) ~ p2
% 1.66/1.08 | (5) ~ p1
% 1.66/1.08 |
% 1.66/1.08 | Using (8) and (6) yields:
% 1.66/1.08 | (10) $false
% 1.66/1.08 |
% 1.66/1.08 |-The branch is then unsatisfiable
% 1.66/1.08 |-Branch two:
% 1.66/1.08 | (11) p1 & ~ p2
% 1.66/1.08 |
% 1.66/1.08 | Applying alpha-rule on (11) yields:
% 1.66/1.08 | (12) p1
% 1.66/1.08 | (6) ~ p2
% 1.66/1.08 |
% 1.66/1.08 +-Applying beta-rule and splitting (29), into two cases.
% 1.66/1.08 |-Branch one:
% 1.66/1.08 | (34) p2 & p1
% 1.66/1.08 |
% 1.66/1.08 | Applying alpha-rule on (34) yields:
% 1.66/1.08 | (8) p2
% 1.66/1.08 | (12) p1
% 1.66/1.08 |
% 1.66/1.08 | Using (8) and (6) yields:
% 1.66/1.08 | (10) $false
% 1.66/1.08 |
% 1.66/1.08 |-The branch is then unsatisfiable
% 1.66/1.08 |-Branch two:
% 1.66/1.08 | (38) ~ p2 & ~ p1
% 1.66/1.08 |
% 1.66/1.08 | Applying alpha-rule on (38) yields:
% 1.66/1.08 | (6) ~ p2
% 1.66/1.08 | (5) ~ p1
% 1.66/1.08 |
% 1.66/1.08 | Using (12) and (5) yields:
% 1.66/1.08 | (10) $false
% 1.66/1.08 |
% 1.66/1.08 |-The branch is then unsatisfiable
% 1.66/1.08 % SZS output end Proof for theBenchmark
% 1.66/1.09
% 1.66/1.09 477ms
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