TSTP Solution File: KRS071+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 2.46s 1.29s
% Output : Proof 3.57s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n027.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 12:51:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.58 ____ _
% 0.54/0.58 ___ / __ \_____(_)___ ________ __________
% 0.54/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.58
% 0.54/0.58 A Theorem Prover for First-Order Logic
% 0.54/0.58 (ePrincess v.1.0)
% 0.54/0.58
% 0.54/0.58 (c) Philipp Rümmer, 2009-2015
% 0.54/0.58 (c) Peter Backeman, 2014-2015
% 0.54/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.58 Bug reports to peter@backeman.se
% 0.54/0.58
% 0.54/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.58
% 0.54/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.54/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.57/0.95 Prover 0: Preprocessing ...
% 1.93/1.11 Prover 0: Warning: ignoring some quantifiers
% 1.93/1.12 Prover 0: Constructing countermodel ...
% 2.46/1.28 Prover 0: proved (653ms)
% 2.46/1.28
% 2.46/1.29 No countermodel exists, formula is valid
% 2.46/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.46/1.29
% 2.46/1.29 Generating proof ... Warning: ignoring some quantifiers
% 3.40/1.51 found it (size 22)
% 3.40/1.51
% 3.40/1.51 % SZS output start Proof for theBenchmark
% 3.40/1.51 Assumed formulas after preprocessing and simplification:
% 3.40/1.52 | (0) cUnsatisfiable(i2003_11_14_17_18_39380) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v3 = v1 | v2 = v1 | ~ rr(v0, v3) | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rr(v0, v3) | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cp3(v1) | ~ cp2(v2) | ~ cp1(v3) | cUnsatisfiable(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & ~ (v6 = v4) & ~ (v5 = v4) & rr(v0, v6) & rr(v0, v5) & rr(v0, v4))) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cp5(v0) | ~ cp4(v0)) & ! [v0] : ( ~ cp5(v0) | ~ cp3(v0)) & ! [v0] : ( ~ cp5(v0) | ~ cp2(v0)) & ! [v0] : ( ~ cp5(v0) | ~ cp1(v0)) & ! [v0] : ( ~ cp4(v0) | ~ cp3(v0)) & ! [v0] : ( ~ cp4(v0) | ~ cp2(v0)) & ! [v0] : ( ~ cp4(v0) | ~ cp1(v0)) & ! [v0] : ( ~ cp3(v0) | ~ cp2(v0)) & ! [v0] : ( ~ cp3(v0) | ~ cp1(v0)) & ! [v0] : ( ~ cp2(v0) | ~ cp1(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cp3(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cp2(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cp1(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0)
% 3.40/1.53 | Applying alpha-rule on (0) yields:
% 3.40/1.53 | (1) ! [v0] : ( ~ cp4(v0) | ~ cp2(v0))
% 3.40/1.53 | (2) ! [v0] : ( ~ cp4(v0) | ~ cp3(v0))
% 3.40/1.53 | (3) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cp3(v1)))
% 3.40/1.53 | (4) ? [v0] : cowlThing(v0)
% 3.40/1.53 | (5) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 3.40/1.53 | (6) ! [v0] : ( ~ cp5(v0) | ~ cp1(v0))
% 3.40/1.53 | (7) ! [v0] : ( ~ cp5(v0) | ~ cp4(v0))
% 3.40/1.53 | (8) ! [v0] : ( ~ cp4(v0) | ~ cp1(v0))
% 3.40/1.53 | (9) ! [v0] : ( ~ cp5(v0) | ~ cp3(v0))
% 3.55/1.53 | (10) cUnsatisfiable(i2003_11_14_17_18_39380)
% 3.55/1.53 | (11) ! [v0] : ~ cowlNothing(v0)
% 3.55/1.53 | (12) ! [v0] : ( ~ cp3(v0) | ~ cp2(v0))
% 3.55/1.53 | (13) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cp1(v1)))
% 3.55/1.53 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rr(v0, v3) | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cp3(v1) | ~ cp2(v2) | ~ cp1(v3) | cUnsatisfiable(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & ~ (v6 = v4) & ~ (v5 = v4) & rr(v0, v6) & rr(v0, v5) & rr(v0, v4)))
% 3.55/1.53 | (15) ! [v0] : ( ~ cp2(v0) | ~ cp1(v0))
% 3.55/1.53 | (16) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 3.55/1.53 | (17) ! [v0] : ( ~ cp3(v0) | ~ cp1(v0))
% 3.55/1.53 | (18) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0))
% 3.55/1.53 | (19) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1))
% 3.55/1.54 | (20) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cp2(v1)))
% 3.55/1.54 | (21) ! [v0] : ( ~ cp5(v0) | ~ cp2(v0))
% 3.55/1.54 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v3 = v1 | v2 = v1 | ~ rr(v0, v3) | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0))
% 3.55/1.54 |
% 3.55/1.54 | Instantiating formula (3) with i2003_11_14_17_18_39380 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_39380), yields:
% 3.55/1.54 | (23) ? [v0] : (rr(i2003_11_14_17_18_39380, v0) & cp3(v0))
% 3.55/1.54 |
% 3.55/1.54 | Instantiating formula (20) with i2003_11_14_17_18_39380 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_39380), yields:
% 3.55/1.54 | (24) ? [v0] : (rr(i2003_11_14_17_18_39380, v0) & cp2(v0))
% 3.55/1.54 |
% 3.55/1.54 | Instantiating formula (13) with i2003_11_14_17_18_39380 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_39380), yields:
% 3.55/1.54 | (25) ? [v0] : (rr(i2003_11_14_17_18_39380, v0) & cp1(v0))
% 3.55/1.54 |
% 3.55/1.54 | Instantiating (25) with all_10_0_2 yields:
% 3.55/1.54 | (26) rr(i2003_11_14_17_18_39380, all_10_0_2) & cp1(all_10_0_2)
% 3.55/1.54 |
% 3.55/1.54 | Applying alpha-rule on (26) yields:
% 3.55/1.54 | (27) rr(i2003_11_14_17_18_39380, all_10_0_2)
% 3.55/1.54 | (28) cp1(all_10_0_2)
% 3.55/1.54 |
% 3.55/1.54 | Instantiating (23) with all_12_0_3 yields:
% 3.55/1.54 | (29) rr(i2003_11_14_17_18_39380, all_12_0_3) & cp3(all_12_0_3)
% 3.55/1.54 |
% 3.55/1.54 | Applying alpha-rule on (29) yields:
% 3.55/1.54 | (30) rr(i2003_11_14_17_18_39380, all_12_0_3)
% 3.55/1.54 | (31) cp3(all_12_0_3)
% 3.55/1.54 |
% 3.55/1.54 | Instantiating (24) with all_14_0_4 yields:
% 3.55/1.54 | (32) rr(i2003_11_14_17_18_39380, all_14_0_4) & cp2(all_14_0_4)
% 3.55/1.54 |
% 3.55/1.54 | Applying alpha-rule on (32) yields:
% 3.55/1.54 | (33) rr(i2003_11_14_17_18_39380, all_14_0_4)
% 3.55/1.54 | (34) cp2(all_14_0_4)
% 3.55/1.54 |
% 3.57/1.54 | Instantiating formula (22) with all_10_0_2, all_14_0_4, all_12_0_3, i2003_11_14_17_18_39380 and discharging atoms rr(i2003_11_14_17_18_39380, all_14_0_4), rr(i2003_11_14_17_18_39380, all_12_0_3), rr(i2003_11_14_17_18_39380, all_10_0_2), cUnsatisfiable(i2003_11_14_17_18_39380), yields:
% 3.57/1.54 | (35) all_14_0_4 = all_12_0_3 | all_14_0_4 = all_10_0_2 | all_12_0_3 = all_10_0_2
% 3.57/1.54 |
% 3.57/1.54 +-Applying beta-rule and splitting (35), into two cases.
% 3.57/1.54 |-Branch one:
% 3.57/1.54 | (36) all_14_0_4 = all_12_0_3
% 3.57/1.54 |
% 3.57/1.54 | From (36) and (34) follows:
% 3.57/1.54 | (37) cp2(all_12_0_3)
% 3.57/1.54 |
% 3.57/1.54 | Instantiating formula (12) with all_12_0_3 and discharging atoms cp3(all_12_0_3), cp2(all_12_0_3), yields:
% 3.57/1.54 | (38) $false
% 3.57/1.54 |
% 3.57/1.54 |-The branch is then unsatisfiable
% 3.57/1.54 |-Branch two:
% 3.57/1.54 | (39) ~ (all_14_0_4 = all_12_0_3)
% 3.57/1.54 | (40) all_14_0_4 = all_10_0_2 | all_12_0_3 = all_10_0_2
% 3.57/1.54 |
% 3.57/1.54 +-Applying beta-rule and splitting (40), into two cases.
% 3.57/1.54 |-Branch one:
% 3.57/1.54 | (41) all_14_0_4 = all_10_0_2
% 3.57/1.54 |
% 3.57/1.54 | From (41) and (34) follows:
% 3.57/1.54 | (42) cp2(all_10_0_2)
% 3.57/1.54 |
% 3.57/1.54 | Instantiating formula (15) with all_10_0_2 and discharging atoms cp2(all_10_0_2), cp1(all_10_0_2), yields:
% 3.57/1.54 | (38) $false
% 3.57/1.55 |
% 3.57/1.55 |-The branch is then unsatisfiable
% 3.57/1.55 |-Branch two:
% 3.57/1.55 | (44) ~ (all_14_0_4 = all_10_0_2)
% 3.57/1.55 | (45) all_12_0_3 = all_10_0_2
% 3.57/1.55 |
% 3.57/1.55 | From (45) and (31) follows:
% 3.57/1.55 | (46) cp3(all_10_0_2)
% 3.57/1.55 |
% 3.57/1.55 | Instantiating formula (17) with all_10_0_2 and discharging atoms cp3(all_10_0_2), cp1(all_10_0_2), yields:
% 3.57/1.55 | (38) $false
% 3.57/1.55 |
% 3.57/1.55 |-The branch is then unsatisfiable
% 3.57/1.55 % SZS output end Proof for theBenchmark
% 3.57/1.55
% 3.57/1.55 955ms
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