TSTP Solution File: KRS115+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS115+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n024.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 02:56:36 EDT 2022
% Result : Unsatisfiable 13.29s 3.66s
% Output : Proof 17.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS115+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n024.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 15:44:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.57 ____ _
% 0.54/0.57 ___ / __ \_____(_)___ ________ __________
% 0.54/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.57
% 0.54/0.57 A Theorem Prover for First-Order Logic
% 0.54/0.57 (ePrincess v.1.0)
% 0.54/0.57
% 0.54/0.57 (c) Philipp Rümmer, 2009-2015
% 0.54/0.57 (c) Peter Backeman, 2014-2015
% 0.54/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.57 Bug reports to peter@backeman.se
% 0.54/0.57
% 0.54/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.57
% 0.54/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.54/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.44/0.92 Prover 0: Preprocessing ...
% 1.87/1.06 Prover 0: Warning: ignoring some quantifiers
% 1.99/1.08 Prover 0: Constructing countermodel ...
% 2.59/1.26 Prover 0: gave up
% 2.59/1.26 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.59/1.29 Prover 1: Preprocessing ...
% 3.43/1.44 Prover 1: Constructing countermodel ...
% 3.58/1.53 Prover 1: gave up
% 3.58/1.53 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.85/1.55 Prover 2: Preprocessing ...
% 4.39/1.66 Prover 2: Warning: ignoring some quantifiers
% 4.39/1.66 Prover 2: Constructing countermodel ...
% 4.97/1.78 Prover 2: gave up
% 4.97/1.78 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 4.97/1.80 Prover 3: Preprocessing ...
% 5.16/1.81 Prover 3: Warning: ignoring some quantifiers
% 5.16/1.81 Prover 3: Constructing countermodel ...
% 5.28/1.85 Prover 3: gave up
% 5.28/1.85 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 5.28/1.86 Prover 4: Preprocessing ...
% 5.69/1.96 Prover 4: Warning: ignoring some quantifiers
% 5.69/1.96 Prover 4: Constructing countermodel ...
% 8.36/2.56 Prover 4: gave up
% 8.36/2.56 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 8.36/2.58 Prover 5: Preprocessing ...
% 8.66/2.62 Prover 5: Constructing countermodel ...
% 8.93/2.68 Prover 5: gave up
% 8.93/2.68 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 8.93/2.69 Prover 6: Preprocessing ...
% 8.93/2.74 Prover 6: Warning: ignoring some quantifiers
% 8.93/2.74 Prover 6: Constructing countermodel ...
% 9.36/2.80 Prover 6: gave up
% 9.36/2.80 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 9.58/2.82 Prover 7: Preprocessing ...
% 9.58/2.83 Prover 7: Proving ...
% 13.29/3.66 Prover 7: proved (859ms)
% 13.29/3.66
% 13.29/3.66 % SZS status Unsatisfiable for theBenchmark
% 13.29/3.66
% 13.29/3.66 Generating proof ... found it (size 44)
% 17.43/4.57
% 17.43/4.57 % SZS output start Proof for theBenchmark
% 17.43/4.57 Assumed formulas after preprocessing and simplification:
% 17.43/4.57 | (0) ? [v0] : (cUnsatisfiable(v0) & ! [v1] : ! [v2] : ( ~ rr(v1, v2) | rf2(v1, v2)) & ! [v1] : ! [v2] : ( ~ rr(v1, v2) | rf1(v1, v2)) & ! [v1] : ( ~ xsd_string(v1) | ~ xsd_integer(v1)) & ! [v1] : ( ~ cp2xcomp(v1) | ? [v2] : ra_Px1(v1, v2)) & ! [v1] : ( ~ cp2(v1) | ! [v2] : ~ ra_Px1(v1, v2)) & ! [v1] : ( ~ cp1(v1) | cp2xcomp(v1)) & ! [v1] : ( ~ cowlThing(v1) | ! [v2] : ! [v3] : (v3 = v2 | ~ rf2(v1, v3) | ~ rf2(v1, v2))) & ! [v1] : ( ~ cowlThing(v1) | ! [v2] : ! [v3] : (v3 = v2 | ~ rf1(v1, v3) | ~ rf1(v1, v2))) & ! [v1] : ~ cowlNothing(v1) & ! [v1] : ( ~ cUnsatisfiable(v1) | ( ? [v2] : (rr(v1, v2) & cowlThing(v2)) & ? [v2] : (rf2(v1, v2) & cp2(v2)) & ? [v2] : (rf1(v1, v2) & cp1(v2)))) & ! [v1] : (xsd_string(v1) | xsd_integer(v1)) & ! [v1] : (cp2xcomp(v1) | ! [v2] : ~ ra_Px1(v1, v2)) & ! [v1] : (cp2(v1) | ? [v2] : ra_Px1(v1, v2)) & ! [v1] : cowlThing(v1) & ! [v1] : (cUnsatisfiable(v1) | ! [v2] : ( ~ rr(v1, v2) | ~ cowlThing(v2)) | ! [v2] : ( ~ rf2(v1, v2) | ~ cp2(v2)) | ! [v2] : ( ~ rf1(v1, v2) | ~ cp1(v2))))
% 17.43/4.57 | Instantiating (0) with all_0_0_0 yields:
% 17.43/4.57 | (1) cUnsatisfiable(all_0_0_0) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | rf2(v0, v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | rf1(v0, v1)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cp2xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ cp2(v0) | ! [v1] : ~ ra_Px1(v0, v1)) & ! [v0] : ( ~ cp1(v0) | cp2xcomp(v0)) & ! [v0] : ( ~ cowlThing(v0) | ! [v1] : ! [v2] : (v2 = v1 | ~ rf2(v0, v2) | ~ rf2(v0, v1))) & ! [v0] : ( ~ cowlThing(v0) | ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1))) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | ( ? [v1] : (rr(v0, v1) & cowlThing(v1)) & ? [v1] : (rf2(v0, v1) & cp2(v1)) & ? [v1] : (rf1(v0, v1) & cp1(v1)))) & ! [v0] : (xsd_string(v0) | xsd_integer(v0)) & ! [v0] : (cp2xcomp(v0) | ! [v1] : ~ ra_Px1(v0, v1)) & ! [v0] : (cp2(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : cowlThing(v0) & ! [v0] : (cUnsatisfiable(v0) | ! [v1] : ( ~ rr(v0, v1) | ~ cowlThing(v1)) | ! [v1] : ( ~ rf2(v0, v1) | ~ cp2(v1)) | ! [v1] : ( ~ rf1(v0, v1) | ~ cp1(v1)))
% 17.43/4.57 |
% 17.43/4.57 | Applying alpha-rule on (1) yields:
% 17.43/4.57 | (2) ! [v0] : (cUnsatisfiable(v0) | ! [v1] : ( ~ rr(v0, v1) | ~ cowlThing(v1)) | ! [v1] : ( ~ rf2(v0, v1) | ~ cp2(v1)) | ! [v1] : ( ~ rf1(v0, v1) | ~ cp1(v1)))
% 17.43/4.58 | (3) ! [v0] : (cp2(v0) | ? [v1] : ra_Px1(v0, v1))
% 17.43/4.58 | (4) ! [v0] : cowlThing(v0)
% 17.43/4.58 | (5) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | rf1(v0, v1))
% 17.43/4.58 | (6) ! [v0] : ~ cowlNothing(v0)
% 17.43/4.58 | (7) ! [v0] : ( ~ cp2xcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 17.43/4.58 | (8) ! [v0] : (xsd_string(v0) | xsd_integer(v0))
% 17.43/4.58 | (9) ! [v0] : ( ~ cowlThing(v0) | ! [v1] : ! [v2] : (v2 = v1 | ~ rf2(v0, v2) | ~ rf2(v0, v1)))
% 17.43/4.58 | (10) ! [v0] : ( ~ cp1(v0) | cp2xcomp(v0))
% 17.43/4.58 | (11) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 17.43/4.58 | (12) ! [v0] : (cp2xcomp(v0) | ! [v1] : ~ ra_Px1(v0, v1))
% 17.43/4.58 | (13) ! [v0] : ( ~ cowlThing(v0) | ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1)))
% 17.43/4.58 | (14) ! [v0] : ( ~ cp2(v0) | ! [v1] : ~ ra_Px1(v0, v1))
% 17.43/4.58 | (15) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | rf2(v0, v1))
% 17.43/4.58 | (16) ! [v0] : ( ~ cUnsatisfiable(v0) | ( ? [v1] : (rr(v0, v1) & cowlThing(v1)) & ? [v1] : (rf2(v0, v1) & cp2(v1)) & ? [v1] : (rf1(v0, v1) & cp1(v1))))
% 17.43/4.58 | (17) cUnsatisfiable(all_0_0_0)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (16) with all_0_0_0 and discharging atoms cUnsatisfiable(all_0_0_0), yields:
% 17.43/4.58 | (18) ? [v0] : (rr(all_0_0_0, v0) & cowlThing(v0)) & ? [v0] : (rf2(all_0_0_0, v0) & cp2(v0)) & ? [v0] : (rf1(all_0_0_0, v0) & cp1(v0))
% 17.43/4.58 |
% 17.43/4.58 | Applying alpha-rule on (18) yields:
% 17.43/4.58 | (19) ? [v0] : (rr(all_0_0_0, v0) & cowlThing(v0))
% 17.43/4.58 | (20) ? [v0] : (rf2(all_0_0_0, v0) & cp2(v0))
% 17.43/4.58 | (21) ? [v0] : (rf1(all_0_0_0, v0) & cp1(v0))
% 17.43/4.58 |
% 17.43/4.58 | Instantiating (21) with all_8_0_1 yields:
% 17.43/4.58 | (22) rf1(all_0_0_0, all_8_0_1) & cp1(all_8_0_1)
% 17.43/4.58 |
% 17.43/4.58 | Applying alpha-rule on (22) yields:
% 17.43/4.58 | (23) rf1(all_0_0_0, all_8_0_1)
% 17.43/4.58 | (24) cp1(all_8_0_1)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating (20) with all_10_0_2 yields:
% 17.43/4.58 | (25) rf2(all_0_0_0, all_10_0_2) & cp2(all_10_0_2)
% 17.43/4.58 |
% 17.43/4.58 | Applying alpha-rule on (25) yields:
% 17.43/4.58 | (26) rf2(all_0_0_0, all_10_0_2)
% 17.43/4.58 | (27) cp2(all_10_0_2)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating (19) with all_12_0_3 yields:
% 17.43/4.58 | (28) rr(all_0_0_0, all_12_0_3) & cowlThing(all_12_0_3)
% 17.43/4.58 |
% 17.43/4.58 | Applying alpha-rule on (28) yields:
% 17.43/4.58 | (29) rr(all_0_0_0, all_12_0_3)
% 17.43/4.58 | (30) cowlThing(all_12_0_3)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (15) with all_12_0_3, all_0_0_0 and discharging atoms rr(all_0_0_0, all_12_0_3), yields:
% 17.43/4.58 | (31) rf2(all_0_0_0, all_12_0_3)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (5) with all_12_0_3, all_0_0_0 and discharging atoms rr(all_0_0_0, all_12_0_3), yields:
% 17.43/4.58 | (32) rf1(all_0_0_0, all_12_0_3)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (14) with all_10_0_2 and discharging atoms cp2(all_10_0_2), yields:
% 17.43/4.58 | (33) ! [v0] : ~ ra_Px1(all_10_0_2, v0)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (10) with all_8_0_1 and discharging atoms cp1(all_8_0_1), yields:
% 17.43/4.58 | (34) cp2xcomp(all_8_0_1)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (7) with all_8_0_1 and discharging atoms cp2xcomp(all_8_0_1), yields:
% 17.43/4.58 | (35) ? [v0] : ra_Px1(all_8_0_1, v0)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating (35) with all_28_0_4 yields:
% 17.43/4.58 | (36) ra_Px1(all_8_0_1, all_28_0_4)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (33) with all_28_0_4 yields:
% 17.43/4.58 | (37) ~ ra_Px1(all_10_0_2, all_28_0_4)
% 17.43/4.58 |
% 17.43/4.58 | Introducing new symbol ex_64_0_10 defined by:
% 17.43/4.58 | (38) ex_64_0_10 = all_0_0_0
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (4) with ex_64_0_10 yields:
% 17.43/4.58 | (39) cowlThing(ex_64_0_10)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (9) with ex_64_0_10 and discharging atoms cowlThing(ex_64_0_10), yields:
% 17.43/4.58 | (40) ! [v0] : ! [v1] : (v1 = v0 | ~ rf2(ex_64_0_10, v1) | ~ rf2(ex_64_0_10, v0))
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (13) with ex_64_0_10 and discharging atoms cowlThing(ex_64_0_10), yields:
% 17.43/4.58 | (41) ! [v0] : ! [v1] : (v1 = v0 | ~ rf1(ex_64_0_10, v1) | ~ rf1(ex_64_0_10, v0))
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (41) with all_8_0_1, all_12_0_3 yields:
% 17.43/4.58 | (42) all_12_0_3 = all_8_0_1 | ~ rf1(ex_64_0_10, all_12_0_3) | ~ rf1(ex_64_0_10, all_8_0_1)
% 17.43/4.58 |
% 17.43/4.58 | Instantiating formula (40) with all_10_0_2, all_12_0_3 yields:
% 17.43/4.58 | (43) all_12_0_3 = all_10_0_2 | ~ rf2(ex_64_0_10, all_12_0_3) | ~ rf2(ex_64_0_10, all_10_0_2)
% 17.43/4.58 |
% 17.43/4.58 +-Applying beta-rule and splitting (42), into two cases.
% 17.43/4.58 |-Branch one:
% 17.43/4.58 | (44) ~ rf1(ex_64_0_10, all_12_0_3)
% 17.43/4.58 |
% 17.43/4.58 | From (38) and (44) follows:
% 17.43/4.59 | (45) ~ rf1(all_0_0_0, all_12_0_3)
% 17.43/4.59 |
% 17.43/4.59 | Using (32) and (45) yields:
% 17.43/4.59 | (46) $false
% 17.43/4.59 |
% 17.43/4.59 |-The branch is then unsatisfiable
% 17.43/4.59 |-Branch two:
% 17.43/4.59 | (47) all_12_0_3 = all_8_0_1 | ~ rf1(ex_64_0_10, all_8_0_1)
% 17.43/4.59 |
% 17.43/4.59 +-Applying beta-rule and splitting (43), into two cases.
% 17.43/4.59 |-Branch one:
% 17.43/4.59 | (48) ~ rf2(ex_64_0_10, all_12_0_3)
% 17.43/4.59 |
% 17.43/4.59 | From (38) and (48) follows:
% 17.43/4.59 | (49) ~ rf2(all_0_0_0, all_12_0_3)
% 17.43/4.59 |
% 17.43/4.59 | Using (31) and (49) yields:
% 17.43/4.59 | (46) $false
% 17.43/4.59 |
% 17.43/4.59 |-The branch is then unsatisfiable
% 17.43/4.59 |-Branch two:
% 17.43/4.59 | (51) all_12_0_3 = all_10_0_2 | ~ rf2(ex_64_0_10, all_10_0_2)
% 17.43/4.59 |
% 17.43/4.59 +-Applying beta-rule and splitting (47), into two cases.
% 17.43/4.59 |-Branch one:
% 17.43/4.59 | (52) ~ rf1(ex_64_0_10, all_8_0_1)
% 17.43/4.59 |
% 17.43/4.59 | From (38) and (52) follows:
% 17.43/4.59 | (53) ~ rf1(all_0_0_0, all_8_0_1)
% 17.43/4.59 |
% 17.43/4.59 | Using (23) and (53) yields:
% 17.43/4.59 | (46) $false
% 17.43/4.59 |
% 17.43/4.59 |-The branch is then unsatisfiable
% 17.43/4.59 |-Branch two:
% 17.43/4.59 | (55) all_12_0_3 = all_8_0_1
% 17.43/4.59 |
% 17.43/4.59 +-Applying beta-rule and splitting (51), into two cases.
% 17.43/4.59 |-Branch one:
% 17.43/4.59 | (56) ~ rf2(ex_64_0_10, all_10_0_2)
% 17.43/4.59 |
% 17.43/4.59 | From (38) and (56) follows:
% 17.43/4.59 | (57) ~ rf2(all_0_0_0, all_10_0_2)
% 17.43/4.59 |
% 17.43/4.59 | Using (26) and (57) yields:
% 17.43/4.59 | (46) $false
% 17.43/4.59 |
% 17.43/4.59 |-The branch is then unsatisfiable
% 17.43/4.59 |-Branch two:
% 17.43/4.59 | (59) all_12_0_3 = all_10_0_2
% 17.43/4.59 |
% 17.43/4.59 | Combining equations (59,55) yields a new equation:
% 17.43/4.59 | (60) all_10_0_2 = all_8_0_1
% 17.43/4.59 |
% 17.43/4.59 | Simplifying 60 yields:
% 17.43/4.59 | (61) all_10_0_2 = all_8_0_1
% 17.43/4.59 |
% 17.43/4.59 | From (61) and (37) follows:
% 17.43/4.59 | (62) ~ ra_Px1(all_8_0_1, all_28_0_4)
% 17.43/4.59 |
% 17.43/4.59 | Using (36) and (62) yields:
% 17.43/4.59 | (46) $false
% 17.43/4.59 |
% 17.43/4.59 |-The branch is then unsatisfiable
% 17.43/4.59 % SZS output end Proof for theBenchmark
% 17.43/4.59
% 17.43/4.59 4010ms
%------------------------------------------------------------------------------