TSTP Solution File: KRS084+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS084+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 02:56:31 EDT 2022
% Result : Unsatisfiable 2.32s 1.28s
% Output : Proof 3.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jun 7 07:36:29 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.65/0.62 ____ _
% 0.65/0.62 ___ / __ \_____(_)___ ________ __________
% 0.65/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.65/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.65/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.65/0.62
% 0.65/0.62 A Theorem Prover for First-Order Logic
% 0.65/0.62 (ePrincess v.1.0)
% 0.65/0.62
% 0.65/0.62 (c) Philipp Rümmer, 2009-2015
% 0.65/0.62 (c) Peter Backeman, 2014-2015
% 0.65/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.65/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.65/0.62 Bug reports to peter@backeman.se
% 0.65/0.62
% 0.65/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.65/0.62
% 0.65/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.57/0.99 Prover 0: Preprocessing ...
% 1.92/1.14 Prover 0: Warning: ignoring some quantifiers
% 1.92/1.16 Prover 0: Constructing countermodel ...
% 2.32/1.28 Prover 0: proved (611ms)
% 2.32/1.28
% 2.32/1.28 No countermodel exists, formula is valid
% 2.32/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.32/1.28
% 2.32/1.28 Generating proof ... Warning: ignoring some quantifiers
% 3.21/1.50 found it (size 24)
% 3.21/1.50
% 3.21/1.50 % SZS output start Proof for theBenchmark
% 3.21/1.50 Assumed formulas after preprocessing and simplification:
% 3.21/1.50 | (0) cUnsatisfiable(i2003_11_14_17_19_35232) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) & ! [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) | ~ cUnsatisfiable(v0) | ? [v2] : (rinvF(v1, v2) & cd(v2))) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | ~ cd(v1) | cc(v0) | cUnsatisfiable(v0) | ? [v2] : (rinvR(v0, v2) & ! [v3] : ( ~ rinvF(v2, v3) | ~ cd(v3)))) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ! [v1] : ( ~ rf(v0, v1) | ~ cc(v0) | cd(v0) | cc(v1)) & ! [v0] : ! [v1] : ( ~ rf(v0, v1) | rr(v0, v1)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cd(v0) | cc(v0)) & ! [v0] : ( ~ cd(v0) | ? [v1] : (rf(v0, v1) & ~ cc(v1))) & ! [v0] : ( ~ cc(v0) | ~ cUnsatisfiable(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rinvF(v0, v1) & cd(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0)
% 3.21/1.51 | Applying alpha-rule on (0) yields:
% 3.21/1.51 | (1) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0))
% 3.21/1.52 | (2) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1))
% 3.21/1.52 | (3) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 3.21/1.52 | (4) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 3.21/1.52 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1))
% 3.21/1.52 | (6) ! [v0] : ( ~ cd(v0) | ? [v1] : (rf(v0, v1) & ~ cc(v1)))
% 3.21/1.52 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2))
% 3.21/1.52 | (8) ! [v0] : ! [v1] : ( ~ rf(v0, v1) | rr(v0, v1))
% 3.21/1.52 | (9) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rinvF(v0, v1) & cd(v1)))
% 3.21/1.52 | (10) ! [v0] : ~ cowlNothing(v0)
% 3.21/1.52 | (11) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1))
% 3.21/1.52 | (12) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0))
% 3.21/1.52 | (13) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ cUnsatisfiable(v0) | ? [v2] : (rinvF(v1, v2) & cd(v2)))
% 3.21/1.52 | (14) ? [v0] : cowlThing(v0)
% 3.21/1.52 | (15) ! [v0] : ! [v1] : ( ~ rf(v0, v1) | ~ cc(v0) | cd(v0) | cc(v1))
% 3.21/1.52 | (16) cUnsatisfiable(i2003_11_14_17_19_35232)
% 3.21/1.52 | (17) ! [v0] : ( ~ cd(v0) | cc(v0))
% 3.21/1.52 | (18) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | ~ cd(v1) | cc(v0) | cUnsatisfiable(v0) | ? [v2] : (rinvR(v0, v2) & ! [v3] : ( ~ rinvF(v2, v3) | ~ cd(v3))))
% 3.21/1.52 | (19) ! [v0] : ( ~ cc(v0) | ~ cUnsatisfiable(v0))
% 3.21/1.52 |
% 3.21/1.52 | Instantiating formula (9) with i2003_11_14_17_19_35232 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_35232), yields:
% 3.21/1.52 | (20) ? [v0] : (rinvF(i2003_11_14_17_19_35232, v0) & cd(v0))
% 3.21/1.52 |
% 3.21/1.52 | Instantiating (20) with all_10_0_2 yields:
% 3.21/1.52 | (21) rinvF(i2003_11_14_17_19_35232, all_10_0_2) & cd(all_10_0_2)
% 3.21/1.52 |
% 3.21/1.52 | Applying alpha-rule on (21) yields:
% 3.21/1.52 | (22) rinvF(i2003_11_14_17_19_35232, all_10_0_2)
% 3.21/1.52 | (23) cd(all_10_0_2)
% 3.21/1.52 |
% 3.21/1.52 | Instantiating formula (12) with all_10_0_2, i2003_11_14_17_19_35232 and discharging atoms rinvF(i2003_11_14_17_19_35232, all_10_0_2), yields:
% 3.21/1.52 | (24) rf(all_10_0_2, i2003_11_14_17_19_35232)
% 3.21/1.52 |
% 3.21/1.52 | Instantiating formula (17) with all_10_0_2 and discharging atoms cd(all_10_0_2), yields:
% 3.21/1.52 | (25) cc(all_10_0_2)
% 3.21/1.52 |
% 3.21/1.52 | Instantiating formula (6) with all_10_0_2 and discharging atoms cd(all_10_0_2), yields:
% 3.21/1.53 | (26) ? [v0] : (rf(all_10_0_2, v0) & ~ cc(v0))
% 3.21/1.53 |
% 3.21/1.53 | Instantiating (26) with all_18_0_3 yields:
% 3.21/1.53 | (27) rf(all_10_0_2, all_18_0_3) & ~ cc(all_18_0_3)
% 3.21/1.53 |
% 3.21/1.53 | Applying alpha-rule on (27) yields:
% 3.21/1.53 | (28) rf(all_10_0_2, all_18_0_3)
% 3.21/1.53 | (29) ~ cc(all_18_0_3)
% 3.21/1.53 |
% 3.21/1.53 | Instantiating formula (5) with i2003_11_14_17_19_35232, all_18_0_3, all_10_0_2 and discharging atoms rf(all_10_0_2, all_18_0_3), rf(all_10_0_2, i2003_11_14_17_19_35232), yields:
% 3.21/1.53 | (30) all_18_0_3 = i2003_11_14_17_19_35232
% 3.21/1.53 |
% 3.21/1.53 | From (30) and (28) follows:
% 3.21/1.53 | (24) rf(all_10_0_2, i2003_11_14_17_19_35232)
% 3.21/1.53 |
% 3.21/1.53 | Instantiating formula (8) with i2003_11_14_17_19_35232, all_10_0_2 and discharging atoms rf(all_10_0_2, i2003_11_14_17_19_35232), yields:
% 3.21/1.53 | (32) rr(all_10_0_2, i2003_11_14_17_19_35232)
% 3.21/1.53 |
% 3.21/1.53 | Instantiating formula (2) with all_10_0_2, i2003_11_14_17_19_35232 and discharging atoms rr(all_10_0_2, i2003_11_14_17_19_35232), yields:
% 3.21/1.53 | (33) rinvR(i2003_11_14_17_19_35232, all_10_0_2)
% 3.21/1.53 |
% 3.21/1.53 | Instantiating formula (13) with all_10_0_2, i2003_11_14_17_19_35232 and discharging atoms rinvR(i2003_11_14_17_19_35232, all_10_0_2), cUnsatisfiable(i2003_11_14_17_19_35232), yields:
% 3.21/1.53 | (34) ? [v0] : (rinvF(all_10_0_2, v0) & cd(v0))
% 3.21/1.53 |
% 3.21/1.53 | Instantiating (34) with all_41_0_4 yields:
% 3.21/1.53 | (35) rinvF(all_10_0_2, all_41_0_4) & cd(all_41_0_4)
% 3.21/1.53 |
% 3.21/1.53 | Applying alpha-rule on (35) yields:
% 3.21/1.53 | (36) rinvF(all_10_0_2, all_41_0_4)
% 3.21/1.53 | (37) cd(all_41_0_4)
% 3.21/1.53 |
% 3.21/1.53 | Instantiating formula (12) with all_41_0_4, all_10_0_2 and discharging atoms rinvF(all_10_0_2, all_41_0_4), yields:
% 3.21/1.53 | (38) rf(all_41_0_4, all_10_0_2)
% 3.21/1.53 |
% 3.21/1.53 | Instantiating formula (6) with all_41_0_4 and discharging atoms cd(all_41_0_4), yields:
% 3.21/1.53 | (39) ? [v0] : (rf(all_41_0_4, v0) & ~ cc(v0))
% 3.21/1.53 |
% 3.21/1.53 | Instantiating (39) with all_49_0_5 yields:
% 3.21/1.53 | (40) rf(all_41_0_4, all_49_0_5) & ~ cc(all_49_0_5)
% 3.21/1.53 |
% 3.21/1.53 | Applying alpha-rule on (40) yields:
% 3.21/1.53 | (41) rf(all_41_0_4, all_49_0_5)
% 3.21/1.53 | (42) ~ cc(all_49_0_5)
% 3.21/1.53 |
% 3.21/1.53 | Instantiating formula (5) with all_10_0_2, all_49_0_5, all_41_0_4 and discharging atoms rf(all_41_0_4, all_49_0_5), rf(all_41_0_4, all_10_0_2), yields:
% 3.21/1.53 | (43) all_49_0_5 = all_10_0_2
% 3.21/1.53 |
% 3.21/1.53 | From (43) and (42) follows:
% 3.21/1.53 | (44) ~ cc(all_10_0_2)
% 3.21/1.53 |
% 3.21/1.53 | Using (25) and (44) yields:
% 3.21/1.53 | (45) $false
% 3.21/1.53 |
% 3.21/1.53 |-The branch is then unsatisfiable
% 3.21/1.53 % SZS output end Proof for theBenchmark
% 3.21/1.53
% 3.21/1.53 904ms
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