TSTP Solution File: KRS073+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS073+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 02:56:29 EDT 2022
% Result : Unsatisfiable 2.38s 1.21s
% Output : Proof 3.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 7 12:01:36 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.52/0.59 ____ _
% 0.52/0.59 ___ / __ \_____(_)___ ________ __________
% 0.52/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.59
% 0.52/0.59 A Theorem Prover for First-Order Logic
% 0.52/0.59 (ePrincess v.1.0)
% 0.52/0.59
% 0.52/0.59 (c) Philipp Rümmer, 2009-2015
% 0.52/0.59 (c) Peter Backeman, 2014-2015
% 0.52/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.60 Bug reports to peter@backeman.se
% 0.52/0.60
% 0.52/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.60
% 0.52/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.70/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.64/0.93 Prover 0: Preprocessing ...
% 2.08/1.09 Prover 0: Warning: ignoring some quantifiers
% 2.08/1.10 Prover 0: Constructing countermodel ...
% 2.38/1.21 Prover 0: proved (569ms)
% 2.38/1.21
% 2.38/1.21 No countermodel exists, formula is valid
% 2.38/1.21 % SZS status Unsatisfiable for theBenchmark
% 2.38/1.21
% 2.38/1.21 Generating proof ... Warning: ignoring some quantifiers
% 3.08/1.44 found it (size 15)
% 3.08/1.44
% 3.08/1.44 % SZS output start Proof for theBenchmark
% 3.08/1.44 Assumed formulas after preprocessing and simplification:
% 3.08/1.44 | (0) cUnsatisfiable(i2003_11_14_17_18_54369) & ! [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] : ( ~ rf(v0, v1) | cp(v0) | cUnsatisfiable(v0) | ? [v2] : ((rinvS(v1, v2) & ~ cp(v2)) | (rinvF(v1, v2) & ! [v3] : ( ~ rs(v2, v3) | ~ cp(v3))))) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cp(v0) | ~ cUnsatisfiable(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & ! [v2] : ( ~ rinvS(v1, v2) | cp(v2)) & ! [v2] : ( ~ rinvF(v1, v2) | ? [v3] : (rs(v2, v3) & cp(v3))))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0)
% 3.30/1.45 | Applying alpha-rule on (0) yields:
% 3.30/1.45 | (1) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1))
% 3.30/1.45 | (2) ! [v0] : ! [v1] : ( ~ rf(v0, v1) | cp(v0) | cUnsatisfiable(v0) | ? [v2] : ((rinvS(v1, v2) & ~ cp(v2)) | (rinvF(v1, v2) & ! [v3] : ( ~ rs(v2, v3) | ~ cp(v3)))))
% 3.30/1.45 | (3) ? [v0] : cowlThing(v0)
% 3.30/1.45 | (4) ! [v0] : ! [v1] : ( ~ rf1(v1, v0) | rinvF1(v0, v1))
% 3.30/1.45 | (5) ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | rf1(v1, v0))
% 3.30/1.45 | (6) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & ! [v2] : ( ~ rinvS(v1, v2) | cp(v2)) & ! [v2] : ( ~ rinvF(v1, v2) | ? [v3] : (rs(v2, v3) & cp(v3)))))
% 3.30/1.46 | (7) cUnsatisfiable(i2003_11_14_17_18_54369)
% 3.30/1.46 | (8) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 3.30/1.46 | (9) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf1(v0, v1))
% 3.30/1.46 | (10) ! [v0] : ~ cowlNothing(v0)
% 3.30/1.46 | (11) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf(v0, v1))
% 3.30/1.46 | (12) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0))
% 3.30/1.46 | (13) ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1))
% 3.30/1.46 | (14) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1))
% 3.30/1.46 | (15) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0))
% 3.30/1.46 | (16) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rs(v0, v2) | ~ rs(v0, v1))
% 3.30/1.46 | (17) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1))
% 3.30/1.46 | (18) ! [v0] : ( ~ cp(v0) | ~ cUnsatisfiable(v0))
% 3.30/1.46 | (19) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 3.30/1.46 |
% 3.30/1.46 | Instantiating formula (6) with i2003_11_14_17_18_54369 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_54369), yields:
% 3.30/1.46 | (20) ? [v0] : (rf(i2003_11_14_17_18_54369, v0) & ! [v1] : ( ~ rinvS(v0, v1) | cp(v1)) & ! [v1] : ( ~ rinvF(v0, v1) | ? [v2] : (rs(v1, v2) & cp(v2))))
% 3.30/1.46 |
% 3.30/1.46 | Instantiating (20) with all_10_0_2 yields:
% 3.30/1.46 | (21) rf(i2003_11_14_17_18_54369, all_10_0_2) & ! [v0] : ( ~ rinvS(all_10_0_2, v0) | cp(v0)) & ! [v0] : ( ~ rinvF(all_10_0_2, v0) | ? [v1] : (rs(v0, v1) & cp(v1)))
% 3.30/1.46 |
% 3.30/1.46 | Applying alpha-rule on (21) yields:
% 3.30/1.46 | (22) rf(i2003_11_14_17_18_54369, all_10_0_2)
% 3.30/1.46 | (23) ! [v0] : ( ~ rinvS(all_10_0_2, v0) | cp(v0))
% 3.30/1.46 | (24) ! [v0] : ( ~ rinvF(all_10_0_2, v0) | ? [v1] : (rs(v0, v1) & cp(v1)))
% 3.30/1.46 |
% 3.30/1.46 | Instantiating formula (14) with i2003_11_14_17_18_54369, all_10_0_2 and discharging atoms rf(i2003_11_14_17_18_54369, all_10_0_2), yields:
% 3.30/1.46 | (25) rinvF(all_10_0_2, i2003_11_14_17_18_54369)
% 3.30/1.46 |
% 3.30/1.46 | Instantiating formula (24) with i2003_11_14_17_18_54369 and discharging atoms rinvF(all_10_0_2, i2003_11_14_17_18_54369), yields:
% 3.30/1.46 | (26) ? [v0] : (rs(i2003_11_14_17_18_54369, v0) & cp(v0))
% 3.30/1.46 |
% 3.30/1.46 | Instantiating (26) with all_24_0_3 yields:
% 3.30/1.46 | (27) rs(i2003_11_14_17_18_54369, all_24_0_3) & cp(all_24_0_3)
% 3.30/1.46 |
% 3.30/1.46 | Applying alpha-rule on (27) yields:
% 3.30/1.46 | (28) rs(i2003_11_14_17_18_54369, all_24_0_3)
% 3.30/1.46 | (29) cp(all_24_0_3)
% 3.30/1.47 |
% 3.30/1.47 | Instantiating formula (13) with i2003_11_14_17_18_54369, all_24_0_3 and discharging atoms rs(i2003_11_14_17_18_54369, all_24_0_3), yields:
% 3.30/1.47 | (30) rinvS(all_24_0_3, i2003_11_14_17_18_54369)
% 3.30/1.47 |
% 3.30/1.47 | Instantiating formula (11) with all_24_0_3, i2003_11_14_17_18_54369 and discharging atoms rs(i2003_11_14_17_18_54369, all_24_0_3), yields:
% 3.30/1.47 | (31) rf(i2003_11_14_17_18_54369, all_24_0_3)
% 3.30/1.47 |
% 3.30/1.47 | Instantiating formula (1) with all_24_0_3, all_10_0_2, i2003_11_14_17_18_54369 and discharging atoms rf(i2003_11_14_17_18_54369, all_24_0_3), rf(i2003_11_14_17_18_54369, all_10_0_2), yields:
% 3.30/1.47 | (32) all_24_0_3 = all_10_0_2
% 3.30/1.47 |
% 3.30/1.47 | From (32) and (30) follows:
% 3.30/1.47 | (33) rinvS(all_10_0_2, i2003_11_14_17_18_54369)
% 3.30/1.47 |
% 3.30/1.47 | Instantiating formula (23) with i2003_11_14_17_18_54369 and discharging atoms rinvS(all_10_0_2, i2003_11_14_17_18_54369), yields:
% 3.30/1.47 | (34) cp(i2003_11_14_17_18_54369)
% 3.30/1.47 |
% 3.30/1.47 | Instantiating formula (18) with i2003_11_14_17_18_54369 and discharging atoms cp(i2003_11_14_17_18_54369), cUnsatisfiable(i2003_11_14_17_18_54369), yields:
% 3.30/1.47 | (35) $false
% 3.30/1.47 |
% 3.30/1.47 |-The branch is then unsatisfiable
% 3.30/1.47 % SZS output end Proof for theBenchmark
% 3.30/1.47
% 3.30/1.47 864ms
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