TSTP Solution File: KRS087+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS087+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 02:56:31 EDT 2022
% Result : Unsatisfiable 2.13s 1.26s
% Output : Proof 3.00s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS087+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 05:27:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.64/0.64 ____ _
% 0.64/0.64 ___ / __ \_____(_)___ ________ __________
% 0.64/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.64/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.64/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.64/0.64
% 0.64/0.64 A Theorem Prover for First-Order Logic
% 0.64/0.64 (ePrincess v.1.0)
% 0.64/0.64
% 0.64/0.64 (c) Philipp Rümmer, 2009-2015
% 0.64/0.64 (c) Peter Backeman, 2014-2015
% 0.64/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.64/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.64/0.64 Bug reports to peter@backeman.se
% 0.64/0.64
% 0.64/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.64/0.64
% 0.64/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.64/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.48/1.01 Prover 0: Preprocessing ...
% 1.92/1.15 Prover 0: Warning: ignoring some quantifiers
% 1.92/1.17 Prover 0: Constructing countermodel ...
% 2.13/1.26 Prover 0: proved (568ms)
% 2.13/1.26
% 2.13/1.26 No countermodel exists, formula is valid
% 2.13/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.13/1.26
% 2.13/1.26 Generating proof ... Warning: ignoring some quantifiers
% 3.00/1.46 found it (size 9)
% 3.00/1.46
% 3.00/1.46 % SZS output start Proof for theBenchmark
% 3.00/1.46 Assumed formulas after preprocessing and simplification:
% 3.00/1.46 | (0) cUnsatisfiable(i2003_11_14_17_19_46763) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | ~ cp1(v2) | ~ cp1(v0) | cUnsatisfiable(v0) | ? [v3] : (rinvR(v2, v3) & cp1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | cp1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rr(v1, v2) & rr(v0, v1) & cp1(v2) & ! [v3] : ( ~ rinvR(v2, v3) | ~ cp1(v3)))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0)
% 3.00/1.47 | Applying alpha-rule on (0) yields:
% 3.00/1.47 | (1) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1))
% 3.00/1.47 | (2) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0))
% 3.00/1.47 | (3) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 3.00/1.47 | (4) ! [v0] : ~ cowlNothing(v0)
% 3.00/1.47 | (5) ? [v0] : cowlThing(v0)
% 3.00/1.47 | (6) ! [v0] : ( ~ cUnsatisfiable(v0) | cp1(v0))
% 3.00/1.47 | (7) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rr(v1, v2) & rr(v0, v1) & cp1(v2) & ! [v3] : ( ~ rinvR(v2, v3) | ~ cp1(v3))))
% 3.00/1.47 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | ~ cp1(v2) | ~ cp1(v0) | cUnsatisfiable(v0) | ? [v3] : (rinvR(v2, v3) & cp1(v3)))
% 3.00/1.47 | (9) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0))
% 3.00/1.47 | (10) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1))
% 3.00/1.47 | (11) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 3.00/1.47 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2))
% 3.00/1.47 | (13) cUnsatisfiable(i2003_11_14_17_19_46763)
% 3.00/1.47 | (14) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1))
% 3.00/1.47 |
% 3.00/1.47 | Instantiating formula (6) with i2003_11_14_17_19_46763 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_46763), yields:
% 3.00/1.47 | (15) cp1(i2003_11_14_17_19_46763)
% 3.00/1.47 |
% 3.00/1.48 | Instantiating formula (7) with i2003_11_14_17_19_46763 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_46763), yields:
% 3.00/1.48 | (16) ? [v0] : ? [v1] : (rr(v0, v1) & rr(i2003_11_14_17_19_46763, v0) & cp1(v1) & ! [v2] : ( ~ rinvR(v1, v2) | ~ cp1(v2)))
% 3.00/1.48 |
% 3.00/1.48 | Instantiating (16) with all_11_0_2, all_11_1_3 yields:
% 3.00/1.48 | (17) rr(all_11_1_3, all_11_0_2) & rr(i2003_11_14_17_19_46763, all_11_1_3) & cp1(all_11_0_2) & ! [v0] : ( ~ rinvR(all_11_0_2, v0) | ~ cp1(v0))
% 3.00/1.48 |
% 3.00/1.48 | Applying alpha-rule on (17) yields:
% 3.00/1.48 | (18) rr(all_11_1_3, all_11_0_2)
% 3.00/1.48 | (19) rr(i2003_11_14_17_19_46763, all_11_1_3)
% 3.00/1.48 | (20) cp1(all_11_0_2)
% 3.00/1.48 | (21) ! [v0] : ( ~ rinvR(all_11_0_2, v0) | ~ cp1(v0))
% 3.00/1.48 |
% 3.00/1.48 | Instantiating formula (12) with all_11_0_2, all_11_1_3, i2003_11_14_17_19_46763 and discharging atoms rr(all_11_1_3, all_11_0_2), rr(i2003_11_14_17_19_46763, all_11_1_3), yields:
% 3.00/1.48 | (22) rr(i2003_11_14_17_19_46763, all_11_0_2)
% 3.00/1.48 |
% 3.00/1.48 | Instantiating formula (10) with i2003_11_14_17_19_46763, all_11_0_2 and discharging atoms rr(i2003_11_14_17_19_46763, all_11_0_2), yields:
% 3.00/1.48 | (23) rinvR(all_11_0_2, i2003_11_14_17_19_46763)
% 3.00/1.48 |
% 3.00/1.48 | Instantiating formula (21) with i2003_11_14_17_19_46763 and discharging atoms rinvR(all_11_0_2, i2003_11_14_17_19_46763), cp1(i2003_11_14_17_19_46763), yields:
% 3.00/1.48 | (24) $false
% 3.00/1.48 |
% 3.00/1.48 |-The branch is then unsatisfiable
% 3.00/1.48 % SZS output end Proof for theBenchmark
% 3.00/1.48
% 3.00/1.48 831ms
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