TSTP Solution File: KRS125+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS125+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 1.80s 1.11s
% Output : Proof 2.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS125+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jun 7 17:31:10 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.50/0.56 ____ _
% 0.50/0.56 ___ / __ \_____(_)___ ________ __________
% 0.50/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.50/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.50/0.56
% 0.50/0.56 A Theorem Prover for First-Order Logic
% 0.50/0.56 (ePrincess v.1.0)
% 0.50/0.56
% 0.50/0.56 (c) Philipp Rümmer, 2009-2015
% 0.50/0.56 (c) Peter Backeman, 2014-2015
% 0.50/0.56 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.56 Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.56 Bug reports to peter@backeman.se
% 0.50/0.56
% 0.50/0.56 For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.56
% 0.50/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.50/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.26/0.89 Prover 0: Preprocessing ...
% 1.59/1.00 Prover 0: Warning: ignoring some quantifiers
% 1.59/1.01 Prover 0: Constructing countermodel ...
% 1.80/1.10 Prover 0: proved (491ms)
% 1.80/1.11
% 1.80/1.11 No countermodel exists, formula is valid
% 1.80/1.11 % SZS status Unsatisfiable for theBenchmark
% 1.80/1.11
% 1.80/1.11 Generating proof ... Warning: ignoring some quantifiers
% 2.31/1.26 found it (size 10)
% 2.31/1.26
% 2.31/1.26 % SZS output start Proof for theBenchmark
% 2.31/1.26 Assumed formulas after preprocessing and simplification:
% 2.31/1.26 | (0) cUnsatisfiable(i2003_11_14_17_22_17947) & ! [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] : ( ~ cd1(v0) | ? [v1] : ra_Px2(v0, v1)) & ! [v0] : ( ~ cc1(v0) | cd1(v0)) & ! [v0] : ( ~ cc1(v0) | cd1xcomp(v0)) & ! [v0] : ( ~ cdxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ cc(v0) | cdxcomp(v0)) & ! [v0] : ( ~ cf(v0) | ~ ce3(v0) | cUnsatisfiable(v0)) & ! [v0] : ( ~ cf(v0) | cd(v0)) & ! [v0] : ( ~ ce3(v0) | cc(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | cf(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ce3(v0)) & ! [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)
% 2.31/1.27 | Applying alpha-rule on (0) yields:
% 2.31/1.27 | (1) ? [v0] : (cd(v0) | ? [v1] : ra_Px1(v0, v1))
% 2.31/1.27 | (2) ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | ~ cd1xcomp(v0))
% 2.31/1.27 | (3) ? [v0] : cowlThing(v0)
% 2.31/1.27 | (4) ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | cd1(v0))
% 2.31/1.27 | (5) ! [v0] : ( ~ cc(v0) | cdxcomp(v0))
% 2.31/1.27 | (6) ! [v0] : ( ~ cd1(v0) | ? [v1] : ra_Px2(v0, v1))
% 2.31/1.27 | (7) ! [v0] : ( ~ cc1(v0) | cd1xcomp(v0))
% 2.31/1.27 | (8) ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0))
% 2.31/1.27 | (9) ? [v0] : (cd1xcomp(v0) | ? [v1] : ra_Px2(v0, v1))
% 2.31/1.27 | (10) ! [v0] : ( ~ cc1(v0) | cd1(v0))
% 2.31/1.27 | (11) ! [v0] : ( ~ ce3(v0) | cc(v0))
% 2.31/1.27 | (12) ! [v0] : ( ~ cf(v0) | cd(v0))
% 2.31/1.27 | (13) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cd(v0))
% 2.31/1.27 | (14) ! [v0] : ( ~ cf(v0) | ~ ce3(v0) | cUnsatisfiable(v0))
% 2.31/1.27 | (15) ! [v0] : ~ cowlNothing(v0)
% 2.31/1.27 | (16) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cdxcomp(v0))
% 2.31/1.28 | (17) ! [v0] : ( ~ cUnsatisfiable(v0) | ce3(v0))
% 2.31/1.28 | (18) ! [v0] : ( ~ cdxcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 2.49/1.28 | (19) ? [v0] : (xsd_integer(v0) | xsd_string(v0))
% 2.49/1.28 | (20) cUnsatisfiable(i2003_11_14_17_22_17947)
% 2.49/1.28 | (21) ! [v0] : ( ~ cUnsatisfiable(v0) | cf(v0))
% 2.49/1.28 |
% 2.49/1.28 | Instantiating formula (21) with i2003_11_14_17_22_17947 and discharging atoms cUnsatisfiable(i2003_11_14_17_22_17947), yields:
% 2.49/1.28 | (22) cf(i2003_11_14_17_22_17947)
% 2.49/1.28 |
% 2.49/1.28 | Instantiating formula (17) with i2003_11_14_17_22_17947 and discharging atoms cUnsatisfiable(i2003_11_14_17_22_17947), yields:
% 2.49/1.28 | (23) ce3(i2003_11_14_17_22_17947)
% 2.49/1.28 |
% 2.49/1.28 | Instantiating formula (12) with i2003_11_14_17_22_17947 and discharging atoms cf(i2003_11_14_17_22_17947), yields:
% 2.49/1.28 | (24) cd(i2003_11_14_17_22_17947)
% 2.49/1.28 |
% 2.49/1.28 | Instantiating formula (11) with i2003_11_14_17_22_17947 and discharging atoms ce3(i2003_11_14_17_22_17947), yields:
% 2.49/1.28 | (25) cc(i2003_11_14_17_22_17947)
% 2.49/1.28 |
% 2.49/1.28 | Instantiating formula (5) with i2003_11_14_17_22_17947 and discharging atoms cc(i2003_11_14_17_22_17947), yields:
% 2.49/1.28 | (26) cdxcomp(i2003_11_14_17_22_17947)
% 2.49/1.28 |
% 2.49/1.28 | Instantiating formula (18) with i2003_11_14_17_22_17947 and discharging atoms cdxcomp(i2003_11_14_17_22_17947), yields:
% 2.49/1.28 | (27) ? [v0] : ra_Px1(i2003_11_14_17_22_17947, v0)
% 2.49/1.28 |
% 2.49/1.28 | Instantiating (27) with all_30_0_4 yields:
% 2.49/1.28 | (28) ra_Px1(i2003_11_14_17_22_17947, all_30_0_4)
% 2.49/1.28 |
% 2.49/1.28 | Instantiating formula (13) with all_30_0_4, i2003_11_14_17_22_17947 and discharging atoms ra_Px1(i2003_11_14_17_22_17947, all_30_0_4), cd(i2003_11_14_17_22_17947), yields:
% 2.49/1.28 | (29) $false
% 2.49/1.28 |
% 2.49/1.28 |-The branch is then unsatisfiable
% 2.49/1.28 % SZS output end Proof for theBenchmark
% 2.49/1.28
% 2.49/1.28 707ms
%------------------------------------------------------------------------------