TSTP Solution File: KRS124+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n020.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 02:56:38 EDT 2022
% Result : Unsatisfiable 2.11s 1.15s
% Output : Proof 2.71s
% 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 : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n020.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 : Tue Jun 7 09:27:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.54/0.59 ____ _
% 0.54/0.59 ___ / __ \_____(_)___ ________ __________
% 0.54/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.59
% 0.54/0.59 A Theorem Prover for First-Order Logic
% 0.54/0.59 (ePrincess v.1.0)
% 0.54/0.59
% 0.54/0.59 (c) Philipp Rümmer, 2009-2015
% 0.54/0.59 (c) Peter Backeman, 2014-2015
% 0.54/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.59 Bug reports to peter@backeman.se
% 0.54/0.59
% 0.54/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.59
% 0.54/0.59 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
% 1.41/0.92 Prover 0: Preprocessing ...
% 1.79/1.04 Prover 0: Warning: ignoring some quantifiers
% 1.79/1.06 Prover 0: Constructing countermodel ...
% 2.11/1.15 Prover 0: proved (510ms)
% 2.11/1.15
% 2.11/1.15 No countermodel exists, formula is valid
% 2.11/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.11/1.15
% 2.11/1.15 Generating proof ... Warning: ignoring some quantifiers
% 2.71/1.31 found it (size 12)
% 2.71/1.31
% 2.71/1.31 % SZS output start Proof for theBenchmark
% 2.71/1.31 Assumed formulas after preprocessing and simplification:
% 2.71/1.31 | (0) cUnsatisfiable(i2003_11_14_17_22_10903) & ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | ~ cd1xcomp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | cd1(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cd(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cdxcomp(v0)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cUnsatisfiable(v0) | ca_Ax3(v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cowlThing(v1) | cUnsatisfiable(v0) | ? [v2] : (rr(v0, v2) & ~ ca_Ax3(v2))) & ! [v0] : ( ~ cf(v0) | cd(v0)) & ! [v0] : ( ~ ce3(v0) | cc(v0)) & ! [v0] : ( ~ cd(v0) | ~ cc(v0) | ca_Ax3(v0)) & ! [v0] : ( ~ cd1(v0) | ? [v1] : ra_Px2(v0, v1)) & ! [v0] : ( ~ cc1(v0) | cd1xcomp(v0)) & ! [v0] : ( ~ cc1(v0) | cd1(v0)) & ! [v0] : ( ~ cdxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ cc(v0) | cdxcomp(v0)) & ! [v0] : ( ~ ca_Ax3(v0) | cd(v0)) & ! [v0] : ( ~ ca_Ax3(v0) | cc(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cowlThing(v1))) & ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) & ! [v0] : ~ cowlNothing(v0) & ? [v0] : (cd(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : (cd1xcomp(v0) | ? [v1] : ra_Px2(v0, v1)) & ? [v0] : (xsd_integer(v0) | xsd_string(v0)) & ? [v0] : cowlThing(v0)
% 2.71/1.32 | Applying alpha-rule on (0) yields:
% 2.71/1.33 | (1) ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | cd1(v0))
% 2.71/1.33 | (2) ! [v0] : ( ~ cd(v0) | ~ cc(v0) | ca_Ax3(v0))
% 2.71/1.33 | (3) ! [v0] : ( ~ ca_Ax3(v0) | cd(v0))
% 2.71/1.33 | (4) ! [v0] : ( ~ ca_Ax3(v0) | cc(v0))
% 2.71/1.33 | (5) ? [v0] : (cd1xcomp(v0) | ? [v1] : ra_Px2(v0, v1))
% 2.71/1.33 | (6) ? [v0] : cowlThing(v0)
% 2.71/1.33 | (7) ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0))
% 2.71/1.33 | (8) ! [v0] : ( ~ ce3(v0) | cc(v0))
% 2.71/1.33 | (9) ! [v0] : ( ~ cc1(v0) | cd1(v0))
% 2.71/1.33 | (10) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cdxcomp(v0))
% 2.71/1.33 | (11) ! [v0] : ( ~ cdxcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 2.71/1.33 | (12) cUnsatisfiable(i2003_11_14_17_22_10903)
% 2.71/1.33 | (13) ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | ~ cd1xcomp(v0))
% 2.71/1.33 | (14) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cd(v0))
% 2.71/1.33 | (15) ! [v0] : ( ~ cc(v0) | cdxcomp(v0))
% 2.71/1.33 | (16) ! [v0] : ( ~ cd1(v0) | ? [v1] : ra_Px2(v0, v1))
% 2.71/1.33 | (17) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cowlThing(v1) | cUnsatisfiable(v0) | ? [v2] : (rr(v0, v2) & ~ ca_Ax3(v2)))
% 2.71/1.33 | (18) ! [v0] : ( ~ cc1(v0) | cd1xcomp(v0))
% 2.71/1.33 | (19) ! [v0] : ~ cowlNothing(v0)
% 2.71/1.33 | (20) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cUnsatisfiable(v0) | ca_Ax3(v1))
% 2.71/1.33 | (21) ? [v0] : (cd(v0) | ? [v1] : ra_Px1(v0, v1))
% 2.71/1.33 | (22) ? [v0] : (xsd_integer(v0) | xsd_string(v0))
% 2.71/1.33 | (23) ! [v0] : ( ~ cf(v0) | cd(v0))
% 2.71/1.33 | (24) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cowlThing(v1)))
% 2.71/1.33 |
% 2.71/1.33 | Instantiating formula (24) with i2003_11_14_17_22_10903 and discharging atoms cUnsatisfiable(i2003_11_14_17_22_10903), yields:
% 2.71/1.33 | (25) ? [v0] : (rr(i2003_11_14_17_22_10903, v0) & cowlThing(v0))
% 2.71/1.33 |
% 2.71/1.33 | Instantiating (25) with all_12_0_4 yields:
% 2.71/1.33 | (26) rr(i2003_11_14_17_22_10903, all_12_0_4) & cowlThing(all_12_0_4)
% 2.71/1.33 |
% 2.71/1.33 | Applying alpha-rule on (26) yields:
% 2.71/1.33 | (27) rr(i2003_11_14_17_22_10903, all_12_0_4)
% 2.71/1.33 | (28) cowlThing(all_12_0_4)
% 2.71/1.34 |
% 2.71/1.34 | Instantiating formula (20) with all_12_0_4, i2003_11_14_17_22_10903 and discharging atoms rr(i2003_11_14_17_22_10903, all_12_0_4), cUnsatisfiable(i2003_11_14_17_22_10903), yields:
% 2.71/1.34 | (29) ca_Ax3(all_12_0_4)
% 2.71/1.34 |
% 2.71/1.34 | Instantiating formula (3) with all_12_0_4 and discharging atoms ca_Ax3(all_12_0_4), yields:
% 2.71/1.34 | (30) cd(all_12_0_4)
% 2.71/1.34 |
% 2.71/1.34 | Instantiating formula (4) with all_12_0_4 and discharging atoms ca_Ax3(all_12_0_4), yields:
% 2.71/1.34 | (31) cc(all_12_0_4)
% 2.71/1.34 |
% 2.71/1.34 | Instantiating formula (15) with all_12_0_4 and discharging atoms cc(all_12_0_4), yields:
% 2.71/1.34 | (32) cdxcomp(all_12_0_4)
% 2.71/1.34 |
% 2.71/1.34 | Instantiating formula (11) with all_12_0_4 and discharging atoms cdxcomp(all_12_0_4), yields:
% 2.71/1.34 | (33) ? [v0] : ra_Px1(all_12_0_4, v0)
% 2.71/1.34 |
% 2.71/1.34 | Instantiating (33) with all_37_0_5 yields:
% 2.71/1.34 | (34) ra_Px1(all_12_0_4, all_37_0_5)
% 2.71/1.34 |
% 2.71/1.34 | Instantiating formula (14) with all_37_0_5, all_12_0_4 and discharging atoms ra_Px1(all_12_0_4, all_37_0_5), cd(all_12_0_4), yields:
% 2.71/1.34 | (35) $false
% 2.71/1.34 |
% 2.71/1.34 |-The branch is then unsatisfiable
% 2.71/1.34 % SZS output end Proof for theBenchmark
% 2.71/1.34
% 2.71/1.34 738ms
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