TSTP Solution File: KRS067+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS067+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 02:56:28 EDT 2022
% Result : Unsatisfiable 1.71s 1.11s
% Output : Proof 2.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS067+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n022.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 Jun 7 18:53:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.59 ____ _
% 0.19/0.59 ___ / __ \_____(_)___ ________ __________
% 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic
% 0.19/0.60 (ePrincess v.1.0)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2015
% 0.19/0.60 (c) Peter Backeman, 2014-2015
% 0.19/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.60 Bug reports to peter@backeman.se
% 0.19/0.60
% 0.19/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.69/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.32/0.92 Prover 0: Preprocessing ...
% 1.41/1.00 Prover 0: Warning: ignoring some quantifiers
% 1.58/1.02 Prover 0: Constructing countermodel ...
% 1.71/1.11 Prover 0: proved (461ms)
% 1.71/1.11
% 1.71/1.11 No countermodel exists, formula is valid
% 1.71/1.11 % SZS status Unsatisfiable for theBenchmark
% 1.71/1.11
% 1.71/1.11 Generating proof ... Warning: ignoring some quantifiers
% 2.34/1.26 found it (size 15)
% 2.34/1.26
% 2.34/1.26 % SZS output start Proof for theBenchmark
% 2.34/1.26 Assumed formulas after preprocessing and simplification:
% 2.34/1.26 | (0) cUnsatisfiable(i2003_11_14_17_18_1956) & ! [v0] : ( ~ ca(v0) | ~ cb(v0) | cUnsatisfiable(v0)) & ! [v0] : ( ~ ca(v0) | ~ cb(v0)) & ! [v0] : ( ~ ca(v0) | ~ cc(v0) | cUnsatisfiable(v0)) & ! [v0] : ( ~ ca(v0) | ~ cc(v0)) & ! [v0] : ( ~ cb(v0) | ~ cc(v0) | cUnsatisfiable(v0)) & ! [v0] : ( ~ cb(v0) | ~ cc(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ca(v0) | cb(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ca(v0) | cc(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | cb(v0) | cc(v0)) & ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) & ! [v0] : ~ cowlNothing(v0) & ? [v0] : (xsd_integer(v0) | xsd_string(v0)) & ? [v0] : cowlThing(v0)
% 2.34/1.27 | Applying alpha-rule on (0) yields:
% 2.34/1.27 | (1) ! [v0] : ( ~ ca(v0) | ~ cc(v0))
% 2.34/1.27 | (2) ! [v0] : ( ~ cb(v0) | ~ cc(v0))
% 2.34/1.27 | (3) ! [v0] : ( ~ cUnsatisfiable(v0) | ca(v0) | cc(v0))
% 2.34/1.27 | (4) ! [v0] : ( ~ cUnsatisfiable(v0) | ca(v0) | cb(v0))
% 2.34/1.27 | (5) ? [v0] : cowlThing(v0)
% 2.34/1.27 | (6) ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0))
% 2.34/1.27 | (7) cUnsatisfiable(i2003_11_14_17_18_1956)
% 2.34/1.27 | (8) ! [v0] : ( ~ ca(v0) | ~ cb(v0))
% 2.34/1.27 | (9) ! [v0] : ( ~ cUnsatisfiable(v0) | cb(v0) | cc(v0))
% 2.34/1.27 | (10) ! [v0] : ( ~ cb(v0) | ~ cc(v0) | cUnsatisfiable(v0))
% 2.34/1.27 | (11) ! [v0] : ( ~ ca(v0) | ~ cb(v0) | cUnsatisfiable(v0))
% 2.34/1.27 | (12) ! [v0] : ~ cowlNothing(v0)
% 2.34/1.27 | (13) ? [v0] : (xsd_integer(v0) | xsd_string(v0))
% 2.34/1.28 | (14) ! [v0] : ( ~ ca(v0) | ~ cc(v0) | cUnsatisfiable(v0))
% 2.34/1.28 |
% 2.34/1.28 | Instantiating formula (4) with i2003_11_14_17_18_1956 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_1956), yields:
% 2.34/1.28 | (15) ca(i2003_11_14_17_18_1956) | cb(i2003_11_14_17_18_1956)
% 2.34/1.28 |
% 2.34/1.28 | Instantiating formula (3) with i2003_11_14_17_18_1956 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_1956), yields:
% 2.34/1.28 | (16) ca(i2003_11_14_17_18_1956) | cc(i2003_11_14_17_18_1956)
% 2.34/1.28 |
% 2.34/1.28 | Instantiating formula (9) with i2003_11_14_17_18_1956 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_1956), yields:
% 2.34/1.28 | (17) cb(i2003_11_14_17_18_1956) | cc(i2003_11_14_17_18_1956)
% 2.34/1.28 |
% 2.34/1.28 +-Applying beta-rule and splitting (17), into two cases.
% 2.34/1.28 |-Branch one:
% 2.34/1.28 | (18) cb(i2003_11_14_17_18_1956)
% 2.34/1.28 |
% 2.34/1.28 +-Applying beta-rule and splitting (16), into two cases.
% 2.34/1.28 |-Branch one:
% 2.34/1.28 | (19) ca(i2003_11_14_17_18_1956)
% 2.34/1.28 |
% 2.34/1.28 | Instantiating formula (8) with i2003_11_14_17_18_1956 and discharging atoms ca(i2003_11_14_17_18_1956), cb(i2003_11_14_17_18_1956), yields:
% 2.34/1.28 | (20) $false
% 2.34/1.28 |
% 2.34/1.28 |-The branch is then unsatisfiable
% 2.34/1.28 |-Branch two:
% 2.34/1.28 | (21) ~ ca(i2003_11_14_17_18_1956)
% 2.34/1.28 | (22) cc(i2003_11_14_17_18_1956)
% 2.34/1.28 |
% 2.34/1.28 | Instantiating formula (2) with i2003_11_14_17_18_1956 and discharging atoms cb(i2003_11_14_17_18_1956), cc(i2003_11_14_17_18_1956), yields:
% 2.34/1.28 | (20) $false
% 2.34/1.28 |
% 2.34/1.28 |-The branch is then unsatisfiable
% 2.34/1.28 |-Branch two:
% 2.34/1.28 | (24) ~ cb(i2003_11_14_17_18_1956)
% 2.34/1.28 | (22) cc(i2003_11_14_17_18_1956)
% 2.34/1.28 |
% 2.34/1.28 +-Applying beta-rule and splitting (15), into two cases.
% 2.34/1.28 |-Branch one:
% 2.34/1.28 | (19) ca(i2003_11_14_17_18_1956)
% 2.34/1.28 |
% 2.34/1.28 | Instantiating formula (1) with i2003_11_14_17_18_1956 and discharging atoms ca(i2003_11_14_17_18_1956), cc(i2003_11_14_17_18_1956), yields:
% 2.34/1.28 | (20) $false
% 2.34/1.28 |
% 2.34/1.28 |-The branch is then unsatisfiable
% 2.34/1.28 |-Branch two:
% 2.34/1.28 | (21) ~ ca(i2003_11_14_17_18_1956)
% 2.34/1.28 | (18) cb(i2003_11_14_17_18_1956)
% 2.34/1.28 |
% 2.34/1.28 | Using (18) and (24) yields:
% 2.34/1.28 | (20) $false
% 2.34/1.28 |
% 2.34/1.28 |-The branch is then unsatisfiable
% 2.34/1.28 % SZS output end Proof for theBenchmark
% 2.34/1.28
% 2.34/1.28 677ms
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