TSTP Solution File: KRS086+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS086+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 02:56:31 EDT 2022
% Result : Unsatisfiable 78.52s 51.01s
% Output : Proof 83.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS086+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % 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 19:05:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.59 ____ _
% 0.57/0.59 ___ / __ \_____(_)___ ________ __________
% 0.57/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.57/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.57/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.57/0.59
% 0.57/0.59 A Theorem Prover for First-Order Logic
% 0.62/0.59 (ePrincess v.1.0)
% 0.62/0.59
% 0.62/0.59 (c) Philipp Rümmer, 2009-2015
% 0.62/0.59 (c) Peter Backeman, 2014-2015
% 0.62/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.62/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.62/0.59 Bug reports to peter@backeman.se
% 0.62/0.59
% 0.62/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.62/0.59
% 0.62/0.59 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
% 1.54/0.97 Prover 0: Preprocessing ...
% 1.94/1.10 Prover 0: Warning: ignoring some quantifiers
% 1.94/1.12 Prover 0: Constructing countermodel ...
% 16.81/5.96 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 17.02/6.00 Prover 1: Preprocessing ...
% 17.59/6.16 Prover 1: Constructing countermodel ...
% 18.04/6.23 Prover 1: gave up
% 18.04/6.23 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 18.04/6.25 Prover 2: Preprocessing ...
% 18.52/6.33 Prover 2: Warning: ignoring some quantifiers
% 18.52/6.34 Prover 2: Constructing countermodel ...
% 18.52/6.40 Prover 2: gave up
% 18.52/6.40 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 18.99/6.42 Prover 3: Preprocessing ...
% 18.99/6.43 Prover 3: Warning: ignoring some quantifiers
% 18.99/6.43 Prover 3: Constructing countermodel ...
% 73.16/49.82 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 73.16/49.85 Prover 4: Preprocessing ...
% 73.63/49.97 Prover 4: Warning: ignoring some quantifiers
% 73.63/49.97 Prover 4: Constructing countermodel ...
% 74.94/50.30 Prover 4: gave up
% 74.94/50.30 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 75.32/50.31 Prover 5: Preprocessing ...
% 75.32/50.35 Prover 5: Constructing countermodel ...
% 75.32/50.37 Prover 5: gave up
% 75.32/50.37 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 75.32/50.38 Prover 6: Preprocessing ...
% 75.74/50.41 Prover 6: Warning: ignoring some quantifiers
% 75.74/50.41 Prover 6: Constructing countermodel ...
% 75.74/50.45 Prover 6: gave up
% 75.74/50.45 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 75.74/50.46 Prover 7: Preprocessing ...
% 75.74/50.47 Prover 7: Proving ...
% 78.52/51.01 Prover 7: proved (562ms)
% 78.52/51.01 Prover 3: stopped
% 78.52/51.01 Prover 0: stopped
% 78.52/51.01
% 78.52/51.01 % SZS status Unsatisfiable for theBenchmark
% 78.52/51.01
% 78.52/51.01 Generating proof ... found it (size 25)
% 83.60/52.32
% 83.60/52.32 % SZS output start Proof for theBenchmark
% 83.60/52.32 Assumed formulas after preprocessing and simplification:
% 83.60/52.32 | (0) ? [v0] : (cUnsatisfiable(v0) & ! [v1] : ! [v2] : ! [v3] : ( ~ rr(v2, v3) | ~ rr(v1, v2) | rr(v1, v3)) & ! [v1] : ! [v2] : ( ~ rr(v2, v1) | rinvR(v1, v2)) & ! [v1] : ! [v2] : ( ~ rinvR(v1, v2) | rr(v2, v1)) & ! [v1] : ! [v2] : ( ~ rinvF(v1, v2) | rf(v2, v1)) & ! [v1] : ! [v2] : ( ~ rf(v2, v1) | rinvF(v1, v2)) & ! [v1] : ( ~ xsd_string(v1) | ~ xsd_integer(v1)) & ! [v1] : ( ~ cowlThing(v1) | ! [v2] : ! [v3] : (v3 = v2 | ~ rf(v1, v3) | ~ rf(v1, v2))) & ! [v1] : ~ cowlNothing(v1) & ! [v1] : ( ~ cUnsatisfiable(v1) | ? [v2] : (rf(v1, v2) & cp1(v2) & ? [v3] : (rinvF(v2, v3) & ? [v4] : (rf(v3, v4) & ~ cp1(v4))))) & ! [v1] : (xsd_string(v1) | xsd_integer(v1)) & ! [v1] : cowlThing(v1) & ! [v1] : (cUnsatisfiable(v1) | ! [v2] : ( ~ rf(v1, v2) | ~ cp1(v2) | ! [v3] : ( ~ rinvF(v2, v3) | ! [v4] : ( ~ rf(v3, v4) | cp1(v4))))))
% 83.66/52.32 | Instantiating (0) with all_0_0_0 yields:
% 83.66/52.32 | (1) cUnsatisfiable(all_0_0_0) & ! [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] : ( ~ cowlThing(v0) | ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1))) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & cp1(v1) & ? [v2] : (rinvF(v1, v2) & ? [v3] : (rf(v2, v3) & ~ cp1(v3))))) & ! [v0] : (xsd_string(v0) | xsd_integer(v0)) & ! [v0] : cowlThing(v0) & ! [v0] : (cUnsatisfiable(v0) | ! [v1] : ( ~ rf(v0, v1) | ~ cp1(v1) | ! [v2] : ( ~ rinvF(v1, v2) | ! [v3] : ( ~ rf(v2, v3) | cp1(v3)))))
% 83.66/52.32 |
% 83.66/52.32 | Applying alpha-rule on (1) yields:
% 83.66/52.32 | (2) cUnsatisfiable(all_0_0_0)
% 83.66/52.32 | (3) ! [v0] : (xsd_string(v0) | xsd_integer(v0))
% 83.66/52.32 | (4) ! [v0] : ( ~ cowlThing(v0) | ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)))
% 83.66/52.32 | (5) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1))
% 83.66/52.32 | (6) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0))
% 83.66/52.32 | (7) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 83.66/52.32 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2))
% 83.66/52.32 | (9) ! [v0] : ~ cowlNothing(v0)
% 83.66/52.32 | (10) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & cp1(v1) & ? [v2] : (rinvF(v1, v2) & ? [v3] : (rf(v2, v3) & ~ cp1(v3)))))
% 83.66/52.32 | (11) ! [v0] : cowlThing(v0)
% 83.66/52.32 | (12) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0))
% 83.66/52.32 | (13) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1))
% 83.66/52.32 | (14) ! [v0] : (cUnsatisfiable(v0) | ! [v1] : ( ~ rf(v0, v1) | ~ cp1(v1) | ! [v2] : ( ~ rinvF(v1, v2) | ! [v3] : ( ~ rf(v2, v3) | cp1(v3)))))
% 83.66/52.33 |
% 83.66/52.33 | Instantiating formula (10) with all_0_0_0 and discharging atoms cUnsatisfiable(all_0_0_0), yields:
% 83.66/52.33 | (15) ? [v0] : (rf(all_0_0_0, v0) & cp1(v0) & ? [v1] : (rinvF(v0, v1) & ? [v2] : (rf(v1, v2) & ~ cp1(v2))))
% 83.66/52.33 |
% 83.66/52.33 | Instantiating (15) with all_8_0_1 yields:
% 83.66/52.33 | (16) rf(all_0_0_0, all_8_0_1) & cp1(all_8_0_1) & ? [v0] : (rinvF(all_8_0_1, v0) & ? [v1] : (rf(v0, v1) & ~ cp1(v1)))
% 83.66/52.33 |
% 83.66/52.33 | Applying alpha-rule on (16) yields:
% 83.66/52.33 | (17) rf(all_0_0_0, all_8_0_1)
% 83.66/52.33 | (18) cp1(all_8_0_1)
% 83.66/52.33 | (19) ? [v0] : (rinvF(all_8_0_1, v0) & ? [v1] : (rf(v0, v1) & ~ cp1(v1)))
% 83.66/52.33 |
% 83.66/52.33 | Instantiating (19) with all_10_0_2 yields:
% 83.66/52.33 | (20) rinvF(all_8_0_1, all_10_0_2) & ? [v0] : (rf(all_10_0_2, v0) & ~ cp1(v0))
% 83.66/52.33 |
% 83.66/52.33 | Applying alpha-rule on (20) yields:
% 83.66/52.33 | (21) rinvF(all_8_0_1, all_10_0_2)
% 83.66/52.33 | (22) ? [v0] : (rf(all_10_0_2, v0) & ~ cp1(v0))
% 83.66/52.33 |
% 83.66/52.33 | Instantiating (22) with all_12_0_3 yields:
% 83.66/52.33 | (23) rf(all_10_0_2, all_12_0_3) & ~ cp1(all_12_0_3)
% 83.66/52.33 |
% 83.66/52.33 | Applying alpha-rule on (23) yields:
% 83.66/52.33 | (24) rf(all_10_0_2, all_12_0_3)
% 83.66/52.33 | (25) ~ cp1(all_12_0_3)
% 83.66/52.33 |
% 83.66/52.33 | Instantiating formula (6) with all_10_0_2, all_8_0_1 and discharging atoms rinvF(all_8_0_1, all_10_0_2), yields:
% 83.66/52.33 | (26) rf(all_10_0_2, all_8_0_1)
% 83.66/52.33 |
% 83.66/52.33 | Introducing new symbol ex_52_0_8 defined by:
% 83.66/52.33 | (27) ex_52_0_8 = all_10_0_2
% 83.66/52.33 |
% 83.66/52.33 | Instantiating formula (11) with ex_52_0_8 yields:
% 83.66/52.33 | (28) cowlThing(ex_52_0_8)
% 83.66/52.33 |
% 83.66/52.33 | Instantiating formula (4) with ex_52_0_8 and discharging atoms cowlThing(ex_52_0_8), yields:
% 83.66/52.33 | (29) ! [v0] : ! [v1] : (v1 = v0 | ~ rf(ex_52_0_8, v1) | ~ rf(ex_52_0_8, v0))
% 83.66/52.33 |
% 83.66/52.33 | Instantiating formula (29) with all_8_0_1, all_12_0_3 yields:
% 83.66/52.33 | (30) all_12_0_3 = all_8_0_1 | ~ rf(ex_52_0_8, all_12_0_3) | ~ rf(ex_52_0_8, all_8_0_1)
% 83.66/52.33 |
% 83.66/52.33 +-Applying beta-rule and splitting (30), into two cases.
% 83.66/52.33 |-Branch one:
% 83.66/52.33 | (31) ~ rf(ex_52_0_8, all_12_0_3)
% 83.66/52.33 |
% 83.66/52.33 | From (27) and (31) follows:
% 83.66/52.33 | (32) ~ rf(all_10_0_2, all_12_0_3)
% 83.66/52.33 |
% 83.66/52.33 | Using (24) and (32) yields:
% 83.66/52.33 | (33) $false
% 83.66/52.33 |
% 83.66/52.33 |-The branch is then unsatisfiable
% 83.66/52.33 |-Branch two:
% 83.66/52.33 | (34) all_12_0_3 = all_8_0_1 | ~ rf(ex_52_0_8, all_8_0_1)
% 83.66/52.33 |
% 83.66/52.33 +-Applying beta-rule and splitting (34), into two cases.
% 83.66/52.33 |-Branch one:
% 83.66/52.33 | (35) ~ rf(ex_52_0_8, all_8_0_1)
% 83.66/52.33 |
% 83.66/52.33 | From (27) and (35) follows:
% 83.66/52.33 | (36) ~ rf(all_10_0_2, all_8_0_1)
% 83.66/52.33 |
% 83.66/52.33 | Using (26) and (36) yields:
% 83.66/52.33 | (33) $false
% 83.66/52.33 |
% 83.66/52.33 |-The branch is then unsatisfiable
% 83.66/52.33 |-Branch two:
% 83.66/52.33 | (38) all_12_0_3 = all_8_0_1
% 83.66/52.33 |
% 83.66/52.33 | From (38) and (25) follows:
% 83.66/52.33 | (39) ~ cp1(all_8_0_1)
% 83.66/52.33 |
% 83.66/52.33 | Using (18) and (39) yields:
% 83.66/52.33 | (33) $false
% 83.66/52.33 |
% 83.66/52.33 |-The branch is then unsatisfiable
% 83.66/52.33 % SZS output end Proof for theBenchmark
% 83.66/52.33
% 83.66/52.33 51725ms
%------------------------------------------------------------------------------