TSTP Solution File: KRS100+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : KRS100+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.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 02:56:33 EDT 2022
% Result : Unsatisfiable 1.74s 1.10s
% 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
% 0.04/0.12 % Problem : KRS100+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n023.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 14:49:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.55/0.59 ____ _
% 0.55/0.59 ___ / __ \_____(_)___ ________ __________
% 0.55/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.55/0.59
% 0.55/0.59 A Theorem Prover for First-Order Logic
% 0.55/0.59 (ePrincess v.1.0)
% 0.55/0.59
% 0.55/0.59 (c) Philipp Rümmer, 2009-2015
% 0.55/0.59 (c) Peter Backeman, 2014-2015
% 0.55/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.59 Bug reports to peter@backeman.se
% 0.55/0.59
% 0.55/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.59
% 0.55/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.30/0.92 Prover 0: Preprocessing ...
% 1.47/1.00 Prover 0: Warning: ignoring some quantifiers
% 1.47/1.01 Prover 0: Constructing countermodel ...
% 1.74/1.10 Prover 0: proved (454ms)
% 1.74/1.10
% 1.74/1.10 No countermodel exists, formula is valid
% 1.74/1.10 % SZS status Unsatisfiable for theBenchmark
% 1.74/1.10
% 1.74/1.10 Generating proof ... Warning: ignoring some quantifiers
% 2.25/1.23 found it (size 7)
% 2.25/1.23
% 2.25/1.23 % SZS output start Proof for theBenchmark
% 2.25/1.23 Assumed formulas after preprocessing and simplification:
% 2.25/1.23 | (0) cUnsatisfiable(i2003_11_14_17_20_32704) & ! [v0] : ! [v1] : ( ~ cd(v1) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0) | ce(v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cUnsatisfiable(v0) | cd(v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ce(v1) | cUnsatisfiable(v0) | ? [v2] : ((cd(v2) & rr(v0, v2) & ~ ce(v2)) | (rr(v0, v2) & ~ cd(v2)))) & ! [v0] : ( ~ cc(v0) | ~ cd(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ~ ce(v1))) & ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) & ! [v0] : ~ cowlNothing(v0) & ? [v0] : (xsd_integer(v0) | xsd_string(v0)) & ? [v0] : cowlThing(v0)
% 2.33/1.24 | Applying alpha-rule on (0) yields:
% 2.33/1.24 | (1) ? [v0] : cowlThing(v0)
% 2.34/1.24 | (2) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ~ ce(v1)))
% 2.34/1.24 | (3) ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0))
% 2.34/1.24 | (4) ! [v0] : ( ~ cc(v0) | ~ cd(v0))
% 2.34/1.24 | (5) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ce(v1) | cUnsatisfiable(v0) | ? [v2] : ((cd(v2) & rr(v0, v2) & ~ ce(v2)) | (rr(v0, v2) & ~ cd(v2))))
% 2.34/1.24 | (6) cUnsatisfiable(i2003_11_14_17_20_32704)
% 2.34/1.24 | (7) ! [v0] : ~ cowlNothing(v0)
% 2.34/1.24 | (8) ? [v0] : (xsd_integer(v0) | xsd_string(v0))
% 2.34/1.24 | (9) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cUnsatisfiable(v0) | cd(v1))
% 2.34/1.24 | (10) ! [v0] : ! [v1] : ( ~ cd(v1) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0) | ce(v1))
% 2.34/1.24 |
% 2.34/1.25 | Instantiating formula (2) with i2003_11_14_17_20_32704 and discharging atoms cUnsatisfiable(i2003_11_14_17_20_32704), yields:
% 2.34/1.25 | (11) ? [v0] : (rr(i2003_11_14_17_20_32704, v0) & ~ ce(v0))
% 2.34/1.25 |
% 2.34/1.25 | Instantiating (11) with all_10_0_2 yields:
% 2.34/1.25 | (12) rr(i2003_11_14_17_20_32704, all_10_0_2) & ~ ce(all_10_0_2)
% 2.34/1.25 |
% 2.34/1.25 | Applying alpha-rule on (12) yields:
% 2.34/1.25 | (13) rr(i2003_11_14_17_20_32704, all_10_0_2)
% 2.34/1.25 | (14) ~ ce(all_10_0_2)
% 2.34/1.25 |
% 2.34/1.25 | Instantiating formula (9) with all_10_0_2, i2003_11_14_17_20_32704 and discharging atoms rr(i2003_11_14_17_20_32704, all_10_0_2), cUnsatisfiable(i2003_11_14_17_20_32704), yields:
% 2.34/1.25 | (15) cd(all_10_0_2)
% 2.34/1.25 |
% 2.34/1.25 | Instantiating formula (10) with all_10_0_2, i2003_11_14_17_20_32704 and discharging atoms cd(all_10_0_2), rr(i2003_11_14_17_20_32704, all_10_0_2), cUnsatisfiable(i2003_11_14_17_20_32704), ~ ce(all_10_0_2), yields:
% 2.34/1.25 | (16) $false
% 2.34/1.25 |
% 2.34/1.25 |-The branch is then unsatisfiable
% 2.34/1.25 % SZS output end Proof for theBenchmark
% 2.34/1.25
% 2.34/1.25 647ms
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