TSTP Solution File: KRS127+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS127+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 1.55s 0.99s
% Output : Proof 2.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KRS127+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.08 % Command : ePrincess-casc -timeout=%d %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Tue Jun 7 09:00:50 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.45 ____ _
% 0.11/0.45 ___ / __ \_____(_)___ ________ __________
% 0.11/0.45 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.11/0.45 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.11/0.45 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.11/0.45
% 0.11/0.45 A Theorem Prover for First-Order Logic
% 0.11/0.46 (ePrincess v.1.0)
% 0.11/0.46
% 0.11/0.46 (c) Philipp Rümmer, 2009-2015
% 0.11/0.46 (c) Peter Backeman, 2014-2015
% 0.11/0.46 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.11/0.46 Free software under GNU Lesser General Public License (LGPL).
% 0.11/0.46 Bug reports to peter@backeman.se
% 0.11/0.46
% 0.11/0.46 For more information, visit http://user.uu.se/~petba168/breu/
% 0.11/0.46
% 0.11/0.46 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.11/0.50 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.06/0.75 Prover 0: Preprocessing ...
% 1.31/0.87 Prover 0: Warning: ignoring some quantifiers
% 1.31/0.89 Prover 0: Constructing countermodel ...
% 1.55/0.99 Prover 0: proved (490ms)
% 1.55/0.99
% 1.55/0.99 No countermodel exists, formula is valid
% 1.55/0.99 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.99
% 1.55/0.99 Generating proof ... Warning: ignoring some quantifiers
% 2.26/1.13 found it (size 14)
% 2.26/1.13
% 2.26/1.13 % SZS output start Proof for theBenchmark
% 2.26/1.13 Assumed formulas after preprocessing and simplification:
% 2.26/1.13 | (0) cUnsatisfiable(i2003_11_14_17_22_27794) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cd(v1) | ~ cc(v2) | cUnsatisfiable(v0) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & rr(v0, v4) & rr(v0, v3))) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cd(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cdxcomp(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cdxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ cc(v0) | cdxcomp(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cd(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cc(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0) & ? [v0] : (cd(v0) | ? [v1] : ra_Px1(v0, v1))
% 2.31/1.14 | Applying alpha-rule on (0) yields:
% 2.31/1.14 | (1) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cd(v0))
% 2.31/1.14 | (2) ? [v0] : cowlThing(v0)
% 2.31/1.14 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cd(v1) | ~ cc(v2) | cUnsatisfiable(v0) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & rr(v0, v4) & rr(v0, v3)))
% 2.31/1.15 | (4) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cdxcomp(v0))
% 2.31/1.15 | (5) ! [v0] : ~ cowlNothing(v0)
% 2.31/1.15 | (6) ! [v0] : ( ~ cc(v0) | cdxcomp(v0))
% 2.31/1.15 | (7) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 2.31/1.15 | (8) ? [v0] : (cd(v0) | ? [v1] : ra_Px1(v0, v1))
% 2.31/1.15 | (9) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 2.31/1.15 | (10) cUnsatisfiable(i2003_11_14_17_22_27794)
% 2.31/1.15 | (11) ! [v0] : ( ~ cdxcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 2.31/1.15 | (12) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cc(v1)))
% 2.31/1.15 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0))
% 2.31/1.15 | (14) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cd(v1)))
% 2.31/1.15 |
% 2.31/1.15 | Instantiating formula (14) with i2003_11_14_17_22_27794 and discharging atoms cUnsatisfiable(i2003_11_14_17_22_27794), yields:
% 2.31/1.15 | (15) ? [v0] : (rr(i2003_11_14_17_22_27794, v0) & cd(v0))
% 2.31/1.15 |
% 2.31/1.15 | Instantiating formula (12) with i2003_11_14_17_22_27794 and discharging atoms cUnsatisfiable(i2003_11_14_17_22_27794), yields:
% 2.31/1.15 | (16) ? [v0] : (rr(i2003_11_14_17_22_27794, v0) & cc(v0))
% 2.31/1.15 |
% 2.31/1.15 | Instantiating (16) with all_11_0_3 yields:
% 2.31/1.15 | (17) rr(i2003_11_14_17_22_27794, all_11_0_3) & cc(all_11_0_3)
% 2.31/1.15 |
% 2.31/1.15 | Applying alpha-rule on (17) yields:
% 2.31/1.15 | (18) rr(i2003_11_14_17_22_27794, all_11_0_3)
% 2.31/1.15 | (19) cc(all_11_0_3)
% 2.31/1.15 |
% 2.31/1.15 | Instantiating (15) with all_13_0_4 yields:
% 2.31/1.15 | (20) rr(i2003_11_14_17_22_27794, all_13_0_4) & cd(all_13_0_4)
% 2.31/1.15 |
% 2.31/1.15 | Applying alpha-rule on (20) yields:
% 2.31/1.15 | (21) rr(i2003_11_14_17_22_27794, all_13_0_4)
% 2.31/1.15 | (22) cd(all_13_0_4)
% 2.31/1.15 |
% 2.31/1.15 | Instantiating formula (13) with all_11_0_3, all_13_0_4, i2003_11_14_17_22_27794 and discharging atoms rr(i2003_11_14_17_22_27794, all_13_0_4), rr(i2003_11_14_17_22_27794, all_11_0_3), cUnsatisfiable(i2003_11_14_17_22_27794), yields:
% 2.31/1.15 | (23) all_13_0_4 = all_11_0_3
% 2.31/1.15 |
% 2.31/1.15 | From (23) and (22) follows:
% 2.31/1.16 | (24) cd(all_11_0_3)
% 2.31/1.16 |
% 2.31/1.16 | Instantiating formula (6) with all_11_0_3 and discharging atoms cc(all_11_0_3), yields:
% 2.31/1.16 | (25) cdxcomp(all_11_0_3)
% 2.31/1.16 |
% 2.31/1.16 | Instantiating formula (11) with all_11_0_3 and discharging atoms cdxcomp(all_11_0_3), yields:
% 2.31/1.16 | (26) ? [v0] : ra_Px1(all_11_0_3, v0)
% 2.31/1.16 |
% 2.31/1.16 | Instantiating (26) with all_30_0_5 yields:
% 2.31/1.16 | (27) ra_Px1(all_11_0_3, all_30_0_5)
% 2.31/1.16 |
% 2.31/1.16 | Instantiating formula (1) with all_30_0_5, all_11_0_3 and discharging atoms ra_Px1(all_11_0_3, all_30_0_5), cd(all_11_0_3), yields:
% 2.31/1.16 | (28) $false
% 2.31/1.16 |
% 2.31/1.16 |-The branch is then unsatisfiable
% 2.31/1.16 % SZS output end Proof for theBenchmark
% 2.31/1.16
% 2.31/1.16 695ms
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