TSTP Solution File: KRS065+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS065+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 1.43s 0.99s
% Output : Proof 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS065+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 06:45:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.48/0.57 ____ _
% 0.48/0.57 ___ / __ \_____(_)___ ________ __________
% 0.48/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.48/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.48/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.48/0.57
% 0.48/0.57 A Theorem Prover for First-Order Logic
% 0.48/0.57 (ePrincess v.1.0)
% 0.48/0.57
% 0.48/0.57 (c) Philipp Rümmer, 2009-2015
% 0.48/0.57 (c) Peter Backeman, 2014-2015
% 0.48/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.48/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.48/0.57 Bug reports to peter@backeman.se
% 0.48/0.57
% 0.48/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.48/0.57
% 0.48/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.48/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.26/0.87 Prover 0: Preprocessing ...
% 1.36/0.92 Prover 0: Warning: ignoring some quantifiers
% 1.43/0.93 Prover 0: Constructing countermodel ...
% 1.43/0.99 Prover 0: proved (366ms)
% 1.43/0.99
% 1.43/0.99 No countermodel exists, formula is valid
% 1.43/0.99 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.99
% 1.43/0.99 Generating proof ... Warning: ignoring some quantifiers
% 1.75/1.08 found it (size 4)
% 1.75/1.08
% 1.75/1.08 % SZS output start Proof for theBenchmark
% 1.75/1.08 Assumed formulas after preprocessing and simplification:
% 1.75/1.08 | (0) ? [v0] : ? [v1] : (rop(ib, v0) & rop(ia, v1) & cowlNothing(v1) & cowlNothing(v0) & ! [v2] : ( ~ xsd_integer(v2) | ~ xsd_string(v2)) & ! [v2] : ~ cowlNothing(v2) & ? [v2] : (xsd_integer(v2) | xsd_string(v2)) & ? [v2] : cowlThing(v2))
% 1.75/1.09 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 1.75/1.09 | (1) rop(ib, all_0_1_1) & rop(ia, all_0_0_0) & cowlNothing(all_0_0_0) & cowlNothing(all_0_1_1) & ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) & ! [v0] : ~ cowlNothing(v0) & ? [v0] : (xsd_integer(v0) | xsd_string(v0)) & ? [v0] : cowlThing(v0)
% 1.75/1.09 |
% 1.75/1.09 | Applying alpha-rule on (1) yields:
% 1.75/1.09 | (2) ? [v0] : (xsd_integer(v0) | xsd_string(v0))
% 1.75/1.09 | (3) rop(ib, all_0_1_1)
% 1.75/1.09 | (4) ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0))
% 1.75/1.09 | (5) rop(ia, all_0_0_0)
% 1.75/1.09 | (6) cowlNothing(all_0_0_0)
% 1.75/1.09 | (7) ! [v0] : ~ cowlNothing(v0)
% 1.75/1.09 | (8) cowlNothing(all_0_1_1)
% 1.75/1.09 | (9) ? [v0] : cowlThing(v0)
% 1.75/1.09 |
% 1.75/1.10 | Instantiating formula (7) with all_0_1_1 and discharging atoms cowlNothing(all_0_1_1), yields:
% 1.75/1.10 | (10) $false
% 1.75/1.10 |
% 1.75/1.10 |-The branch is then unsatisfiable
% 1.75/1.10 % SZS output end Proof for theBenchmark
% 1.98/1.10
% 1.98/1.10 514ms
%------------------------------------------------------------------------------