TSTP Solution File: KRS111+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS111+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 02:56:36 EDT 2022
% Result : Unsatisfiable 2.35s 1.28s
% Output : Proof 3.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS111+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 13:33:36 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.57/0.60 ____ _
% 0.57/0.60 ___ / __ \_____(_)___ ________ __________
% 0.57/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.57/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.57/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.57/0.60
% 0.57/0.60 A Theorem Prover for First-Order Logic
% 0.57/0.60 (ePrincess v.1.0)
% 0.57/0.60
% 0.57/0.60 (c) Philipp Rümmer, 2009-2015
% 0.57/0.60 (c) Peter Backeman, 2014-2015
% 0.57/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.57/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.57/0.60 Bug reports to peter@backeman.se
% 0.57/0.60
% 0.57/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.57/0.60
% 0.57/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.63/0.99 Prover 0: Preprocessing ...
% 1.99/1.16 Prover 0: Warning: ignoring some quantifiers
% 2.24/1.18 Prover 0: Constructing countermodel ...
% 2.35/1.27 Prover 0: proved (599ms)
% 2.35/1.28
% 2.35/1.28 No countermodel exists, formula is valid
% 2.35/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.35/1.28
% 2.35/1.28 Generating proof ... Warning: ignoring some quantifiers
% 3.34/1.50 found it (size 21)
% 3.34/1.50
% 3.34/1.50 % SZS output start Proof for theBenchmark
% 3.34/1.50 Assumed formulas after preprocessing and simplification:
% 3.34/1.50 | (0) cUnsatisfiable(i2003_11_14_17_21_15425) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rs(v0, v2) | ~ rf1(v0, v3) | ~ rf(v0, v1) | ~ cpxcomp(v3) | ~ cp(v1) | ~ cowlThing(v2) | cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rs(v0, v2) | ~ rs(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf1(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | rf1(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf1(v1, v0) | rinvF1(v0, v1)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cpxcomp(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rs(v0, v1) & cowlThing(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf1(v0, v1) & cpxcomp(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & cp(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0)
% 3.34/1.51 | Applying alpha-rule on (0) yields:
% 3.34/1.51 | (1) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rs(v0, v1) & cowlThing(v1)))
% 3.34/1.51 | (2) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp(v0))
% 3.34/1.51 | (3) ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1))
% 3.34/1.51 | (4) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 3.34/1.51 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rs(v0, v2) | ~ rs(v0, v1))
% 3.34/1.51 | (6) ? [v0] : cowlThing(v0)
% 3.34/1.51 | (7) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0))
% 3.34/1.51 | (8) ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1))
% 3.34/1.51 | (9) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 3.34/1.51 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rs(v0, v2) | ~ rf1(v0, v3) | ~ rf(v0, v1) | ~ cpxcomp(v3) | ~ cp(v1) | ~ cowlThing(v2) | cUnsatisfiable(v0))
% 3.34/1.52 | (11) ! [v0] : ~ cowlNothing(v0)
% 3.34/1.52 | (12) ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 3.34/1.52 | (13) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf(v0, v1))
% 3.34/1.52 | (14) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1))
% 3.34/1.52 | (15) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf1(v0, v1) & cpxcomp(v1)))
% 3.34/1.52 | (16) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cpxcomp(v0))
% 3.34/1.52 | (17) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf1(v0, v1))
% 3.34/1.52 | (18) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & cp(v1)))
% 3.34/1.52 | (19) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1))
% 3.34/1.52 | (20) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0))
% 3.34/1.52 | (21) cUnsatisfiable(i2003_11_14_17_21_15425)
% 3.34/1.52 | (22) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1))
% 3.34/1.52 | (23) ! [v0] : ! [v1] : ( ~ rf1(v1, v0) | rinvF1(v0, v1))
% 3.34/1.52 | (24) ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | rf1(v1, v0))
% 3.34/1.52 |
% 3.34/1.52 | Instantiating formula (1) with i2003_11_14_17_21_15425 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_15425), yields:
% 3.34/1.52 | (25) ? [v0] : (rs(i2003_11_14_17_21_15425, v0) & cowlThing(v0))
% 3.34/1.52 |
% 3.34/1.52 | Instantiating formula (15) with i2003_11_14_17_21_15425 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_15425), yields:
% 3.34/1.52 | (26) ? [v0] : (rf1(i2003_11_14_17_21_15425, v0) & cpxcomp(v0))
% 3.34/1.52 |
% 3.34/1.52 | Instantiating formula (18) with i2003_11_14_17_21_15425 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_15425), yields:
% 3.34/1.52 | (27) ? [v0] : (rf(i2003_11_14_17_21_15425, v0) & cp(v0))
% 3.34/1.52 |
% 3.34/1.52 | Instantiating (27) with all_11_0_3 yields:
% 3.34/1.52 | (28) rf(i2003_11_14_17_21_15425, all_11_0_3) & cp(all_11_0_3)
% 3.34/1.52 |
% 3.34/1.52 | Applying alpha-rule on (28) yields:
% 3.34/1.52 | (29) rf(i2003_11_14_17_21_15425, all_11_0_3)
% 3.34/1.52 | (30) cp(all_11_0_3)
% 3.34/1.52 |
% 3.34/1.52 | Instantiating (26) with all_13_0_4 yields:
% 3.34/1.52 | (31) rf1(i2003_11_14_17_21_15425, all_13_0_4) & cpxcomp(all_13_0_4)
% 3.34/1.52 |
% 3.34/1.52 | Applying alpha-rule on (31) yields:
% 3.34/1.52 | (32) rf1(i2003_11_14_17_21_15425, all_13_0_4)
% 3.34/1.52 | (33) cpxcomp(all_13_0_4)
% 3.34/1.52 |
% 3.34/1.52 | Instantiating (25) with all_15_0_5 yields:
% 3.34/1.52 | (34) rs(i2003_11_14_17_21_15425, all_15_0_5) & cowlThing(all_15_0_5)
% 3.34/1.52 |
% 3.34/1.52 | Applying alpha-rule on (34) yields:
% 3.34/1.52 | (35) rs(i2003_11_14_17_21_15425, all_15_0_5)
% 3.34/1.52 | (36) cowlThing(all_15_0_5)
% 3.34/1.52 |
% 3.34/1.52 | Instantiating formula (17) with all_15_0_5, i2003_11_14_17_21_15425 and discharging atoms rs(i2003_11_14_17_21_15425, all_15_0_5), yields:
% 3.34/1.52 | (37) rf1(i2003_11_14_17_21_15425, all_15_0_5)
% 3.34/1.52 |
% 3.34/1.52 | Instantiating formula (13) with all_15_0_5, i2003_11_14_17_21_15425 and discharging atoms rs(i2003_11_14_17_21_15425, all_15_0_5), yields:
% 3.34/1.52 | (38) rf(i2003_11_14_17_21_15425, all_15_0_5)
% 3.34/1.52 |
% 3.34/1.53 | Instantiating formula (12) with all_13_0_4 and discharging atoms cpxcomp(all_13_0_4), yields:
% 3.34/1.53 | (39) ? [v0] : ra_Px1(all_13_0_4, v0)
% 3.34/1.53 |
% 3.34/1.53 | Instantiating (39) with all_23_0_6 yields:
% 3.34/1.53 | (40) ra_Px1(all_13_0_4, all_23_0_6)
% 3.34/1.53 |
% 3.34/1.53 | Instantiating formula (22) with all_15_0_5, all_13_0_4, i2003_11_14_17_21_15425 and discharging atoms rf1(i2003_11_14_17_21_15425, all_15_0_5), rf1(i2003_11_14_17_21_15425, all_13_0_4), yields:
% 3.34/1.53 | (41) all_15_0_5 = all_13_0_4
% 3.34/1.53 |
% 3.34/1.53 | Instantiating formula (14) with all_15_0_5, all_11_0_3, i2003_11_14_17_21_15425 and discharging atoms rf(i2003_11_14_17_21_15425, all_15_0_5), rf(i2003_11_14_17_21_15425, all_11_0_3), yields:
% 3.34/1.53 | (42) all_15_0_5 = all_11_0_3
% 3.34/1.53 |
% 3.34/1.53 | Combining equations (41,42) yields a new equation:
% 3.34/1.53 | (43) all_13_0_4 = all_11_0_3
% 3.34/1.53 |
% 3.34/1.53 | Simplifying 43 yields:
% 3.34/1.53 | (44) all_13_0_4 = all_11_0_3
% 3.34/1.53 |
% 3.34/1.53 | From (44) and (40) follows:
% 3.34/1.53 | (45) ra_Px1(all_11_0_3, all_23_0_6)
% 3.34/1.53 |
% 3.34/1.53 | Instantiating formula (2) with all_23_0_6, all_11_0_3 and discharging atoms ra_Px1(all_11_0_3, all_23_0_6), cp(all_11_0_3), yields:
% 3.34/1.53 | (46) $false
% 3.34/1.53 |
% 3.34/1.53 |-The branch is then unsatisfiable
% 3.34/1.53 % SZS output end Proof for theBenchmark
% 3.34/1.53
% 3.34/1.53 912ms
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