TSTP Solution File: KRS105+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS105+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 02:56:35 EDT 2022
% Result : Unsatisfiable 6.91s 2.30s
% Output : Proof 7.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS105+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jun 7 17:36:30 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.57 ____ _
% 0.18/0.57 ___ / __ \_____(_)___ ________ __________
% 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.57
% 0.18/0.57 A Theorem Prover for First-Order Logic
% 0.18/0.57 (ePrincess v.1.0)
% 0.18/0.57
% 0.18/0.57 (c) Philipp Rümmer, 2009-2015
% 0.18/0.57 (c) Peter Backeman, 2014-2015
% 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57 Bug reports to peter@backeman.se
% 0.18/0.57
% 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57
% 0.18/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.17/0.85 Prover 0: Preprocessing ...
% 1.60/0.93 Prover 0: Warning: ignoring some quantifiers
% 1.60/0.95 Prover 0: Constructing countermodel ...
% 1.74/1.07 Prover 0: gave up
% 1.74/1.07 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.09/1.09 Prover 1: Preprocessing ...
% 2.40/1.20 Prover 1: Constructing countermodel ...
% 2.48/1.23 Prover 1: gave up
% 2.48/1.23 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.54/1.24 Prover 2: Preprocessing ...
% 2.92/1.32 Prover 2: Warning: ignoring some quantifiers
% 2.92/1.33 Prover 2: Constructing countermodel ...
% 3.16/1.39 Prover 2: gave up
% 3.16/1.39 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.16/1.40 Prover 3: Preprocessing ...
% 3.16/1.41 Prover 3: Warning: ignoring some quantifiers
% 3.16/1.41 Prover 3: Constructing countermodel ...
% 3.16/1.44 Prover 3: gave up
% 3.16/1.44 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 3.16/1.45 Prover 4: Preprocessing ...
% 3.72/1.52 Prover 4: Warning: ignoring some quantifiers
% 3.82/1.53 Prover 4: Constructing countermodel ...
% 5.56/1.94 Prover 4: gave up
% 5.56/1.94 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 5.56/1.95 Prover 5: Preprocessing ...
% 5.56/1.99 Prover 5: Constructing countermodel ...
% 5.95/2.01 Prover 5: gave up
% 5.95/2.01 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 5.95/2.01 Prover 6: Preprocessing ...
% 5.95/2.04 Prover 6: Warning: ignoring some quantifiers
% 5.95/2.05 Prover 6: Constructing countermodel ...
% 5.95/2.07 Prover 6: gave up
% 5.95/2.07 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 5.95/2.08 Prover 7: Preprocessing ...
% 6.40/2.09 Prover 7: Proving ...
% 6.91/2.30 Prover 7: proved (225ms)
% 6.91/2.30
% 6.91/2.30 % SZS status Unsatisfiable for theBenchmark
% 6.91/2.30
% 6.91/2.30 Generating proof ... found it (size 32)
% 7.99/2.55
% 7.99/2.55 % SZS output start Proof for theBenchmark
% 7.99/2.55 Assumed formulas after preprocessing and simplification:
% 7.99/2.55 | (0) ? [v0] : (cUnsatisfiable(v0) & ! [v1] : ( ~ ca_Ax2(v1) | cd(v1)) & ! [v1] : ( ~ ca_Ax2(v1) | ! [v2] : ( ~ rr(v1, v2) | cc(v2))) & ! [v1] : ( ~ cd(v1) | ! [v2] : ~ ra_Px1(v1, v2)) & ! [v1] : ( ~ cc(v1) | ! [v2] : ( ~ rr(v1, v2) | cc(v2))) & ! [v1] : ( ~ cdxcomp(v1) | ? [v2] : ra_Px1(v1, v2)) & ! [v1] : ( ~ cUnsatisfiable(v1) | cc(v1)) & ! [v1] : ( ~ cUnsatisfiable(v1) | cdxcomp(v1)) & ! [v1] : ( ~ xsd_integer(v1) | ~ xsd_string(v1)) & ! [v1] : ~ cowlNothing(v1) & ! [v1] : (ca_Ax2(v1) | ? [v2] : (rr(v1, v2) & ~ cc(v2))) & ! [v1] : (cd(v1) | ? [v2] : ra_Px1(v1, v2)) & ! [v1] : (cdxcomp(v1) | ! [v2] : ~ ra_Px1(v1, v2)) & ! [v1] : (xsd_integer(v1) | xsd_string(v1)) & ! [v1] : cowlThing(v1))
% 7.99/2.55 | Instantiating (0) with all_0_0_0 yields:
% 7.99/2.55 | (1) cUnsatisfiable(all_0_0_0) & ! [v0] : ( ~ ca_Ax2(v0) | cd(v0)) & ! [v0] : ( ~ ca_Ax2(v0) | ! [v1] : ( ~ rr(v0, v1) | cc(v1))) & ! [v0] : ( ~ cd(v0) | ! [v1] : ~ ra_Px1(v0, v1)) & ! [v0] : ( ~ cc(v0) | ! [v1] : ( ~ rr(v0, v1) | cc(v1))) & ! [v0] : ( ~ cdxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ cUnsatisfiable(v0) | cc(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | cdxcomp(v0)) & ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : (ca_Ax2(v0) | ? [v1] : (rr(v0, v1) & ~ cc(v1))) & ! [v0] : (cd(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : (cdxcomp(v0) | ! [v1] : ~ ra_Px1(v0, v1)) & ! [v0] : (xsd_integer(v0) | xsd_string(v0)) & ! [v0] : cowlThing(v0)
% 7.99/2.56 |
% 7.99/2.56 | Applying alpha-rule on (1) yields:
% 7.99/2.56 | (2) ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0))
% 7.99/2.56 | (3) ! [v0] : ( ~ cUnsatisfiable(v0) | cdxcomp(v0))
% 7.99/2.56 | (4) ! [v0] : ( ~ cd(v0) | ! [v1] : ~ ra_Px1(v0, v1))
% 7.99/2.56 | (5) ! [v0] : ~ cowlNothing(v0)
% 7.99/2.56 | (6) ! [v0] : ( ~ ca_Ax2(v0) | cd(v0))
% 7.99/2.56 | (7) ! [v0] : ( ~ cc(v0) | ! [v1] : ( ~ rr(v0, v1) | cc(v1)))
% 7.99/2.56 | (8) ! [v0] : (cd(v0) | ? [v1] : ra_Px1(v0, v1))
% 7.99/2.56 | (9) cUnsatisfiable(all_0_0_0)
% 7.99/2.56 | (10) ! [v0] : (cdxcomp(v0) | ! [v1] : ~ ra_Px1(v0, v1))
% 7.99/2.56 | (11) ! [v0] : (xsd_integer(v0) | xsd_string(v0))
% 7.99/2.56 | (12) ! [v0] : ( ~ cUnsatisfiable(v0) | cc(v0))
% 7.99/2.56 | (13) ! [v0] : cowlThing(v0)
% 7.99/2.56 | (14) ! [v0] : (ca_Ax2(v0) | ? [v1] : (rr(v0, v1) & ~ cc(v1)))
% 7.99/2.56 | (15) ! [v0] : ( ~ cdxcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 7.99/2.56 | (16) ! [v0] : ( ~ ca_Ax2(v0) | ! [v1] : ( ~ rr(v0, v1) | cc(v1)))
% 7.99/2.56 |
% 7.99/2.56 | Instantiating formula (12) with all_0_0_0 and discharging atoms cUnsatisfiable(all_0_0_0), yields:
% 7.99/2.56 | (17) cc(all_0_0_0)
% 7.99/2.56 |
% 7.99/2.56 | Instantiating formula (3) with all_0_0_0 and discharging atoms cUnsatisfiable(all_0_0_0), yields:
% 7.99/2.56 | (18) cdxcomp(all_0_0_0)
% 7.99/2.56 |
% 7.99/2.56 | Instantiating formula (7) with all_0_0_0 and discharging atoms cc(all_0_0_0), yields:
% 7.99/2.56 | (19) ! [v0] : ( ~ rr(all_0_0_0, v0) | cc(v0))
% 7.99/2.56 |
% 7.99/2.56 | Instantiating formula (15) with all_0_0_0 and discharging atoms cdxcomp(all_0_0_0), yields:
% 7.99/2.56 | (20) ? [v0] : ra_Px1(all_0_0_0, v0)
% 7.99/2.56 |
% 7.99/2.56 | Instantiating (20) with all_15_0_1 yields:
% 7.99/2.56 | (21) ra_Px1(all_0_0_0, all_15_0_1)
% 7.99/2.56 |
% 7.99/2.56 | Introducing new symbol ex_23_0_2 defined by:
% 7.99/2.56 | (22) ex_23_0_2 = all_0_0_0
% 7.99/2.56 |
% 7.99/2.56 | Instantiating formula (10) with ex_23_0_2 yields:
% 7.99/2.56 | (23) cdxcomp(ex_23_0_2) | ! [v0] : ~ ra_Px1(ex_23_0_2, v0)
% 7.99/2.56 |
% 7.99/2.56 +-Applying beta-rule and splitting (23), into two cases.
% 7.99/2.56 |-Branch one:
% 7.99/2.56 | (24) cdxcomp(ex_23_0_2)
% 7.99/2.56 |
% 7.99/2.56 | Instantiating formula (15) with ex_23_0_2 and discharging atoms cdxcomp(ex_23_0_2), yields:
% 7.99/2.56 | (25) ? [v0] : ra_Px1(ex_23_0_2, v0)
% 7.99/2.56 |
% 7.99/2.56 | Instantiating (25) with all_31_0_3 yields:
% 7.99/2.56 | (26) ra_Px1(ex_23_0_2, all_31_0_3)
% 7.99/2.56 |
% 7.99/2.56 | Introducing new symbol ex_39_0_4 defined by:
% 7.99/2.56 | (27) ex_39_0_4 = all_0_0_0
% 7.99/2.56 |
% 7.99/2.56 | Instantiating formula (14) with ex_39_0_4 yields:
% 7.99/2.56 | (28) ca_Ax2(ex_39_0_4) | ? [v0] : (rr(ex_39_0_4, v0) & ~ cc(v0))
% 7.99/2.56 |
% 7.99/2.56 +-Applying beta-rule and splitting (28), into two cases.
% 7.99/2.56 |-Branch one:
% 7.99/2.56 | (29) ca_Ax2(ex_39_0_4)
% 7.99/2.56 |
% 7.99/2.56 | Instantiating formula (6) with ex_39_0_4 and discharging atoms ca_Ax2(ex_39_0_4), yields:
% 7.99/2.56 | (30) cd(ex_39_0_4)
% 7.99/2.56 |
% 7.99/2.56 | Instantiating formula (4) with ex_39_0_4 and discharging atoms cd(ex_39_0_4), yields:
% 7.99/2.56 | (31) ! [v0] : ~ ra_Px1(ex_39_0_4, v0)
% 7.99/2.56 |
% 7.99/2.56 | Instantiating formula (31) with all_31_0_3 yields:
% 7.99/2.56 | (32) ~ ra_Px1(ex_39_0_4, all_31_0_3)
% 7.99/2.56 |
% 7.99/2.56 | From (22) and (26) follows:
% 7.99/2.57 | (33) ra_Px1(all_0_0_0, all_31_0_3)
% 7.99/2.57 |
% 7.99/2.57 | From (27) and (32) follows:
% 7.99/2.57 | (34) ~ ra_Px1(all_0_0_0, all_31_0_3)
% 7.99/2.57 |
% 7.99/2.57 | Using (33) and (34) yields:
% 7.99/2.57 | (35) $false
% 7.99/2.57 |
% 7.99/2.57 |-The branch is then unsatisfiable
% 7.99/2.57 |-Branch two:
% 7.99/2.57 | (36) ? [v0] : (rr(ex_39_0_4, v0) & ~ cc(v0))
% 7.99/2.57 |
% 7.99/2.57 | Instantiating (36) with all_41_0_5 yields:
% 7.99/2.57 | (37) rr(ex_39_0_4, all_41_0_5) & ~ cc(all_41_0_5)
% 7.99/2.57 |
% 7.99/2.57 | Applying alpha-rule on (37) yields:
% 7.99/2.57 | (38) rr(ex_39_0_4, all_41_0_5)
% 7.99/2.57 | (39) ~ cc(all_41_0_5)
% 7.99/2.57 |
% 7.99/2.57 | Instantiating formula (19) with all_41_0_5 and discharging atoms ~ cc(all_41_0_5), yields:
% 7.99/2.57 | (40) ~ rr(all_0_0_0, all_41_0_5)
% 7.99/2.57 |
% 7.99/2.57 | From (27) and (38) follows:
% 7.99/2.57 | (41) rr(all_0_0_0, all_41_0_5)
% 7.99/2.57 |
% 7.99/2.57 | Using (41) and (40) yields:
% 7.99/2.57 | (35) $false
% 7.99/2.57 |
% 7.99/2.57 |-The branch is then unsatisfiable
% 7.99/2.57 |-Branch two:
% 7.99/2.57 | (43) ! [v0] : ~ ra_Px1(ex_23_0_2, v0)
% 7.99/2.57 |
% 7.99/2.57 | Instantiating formula (43) with all_15_0_1 yields:
% 7.99/2.57 | (44) ~ ra_Px1(ex_23_0_2, all_15_0_1)
% 7.99/2.57 |
% 7.99/2.57 | From (22) and (44) follows:
% 7.99/2.57 | (45) ~ ra_Px1(all_0_0_0, all_15_0_1)
% 7.99/2.57 |
% 7.99/2.57 | Using (21) and (45) yields:
% 7.99/2.57 | (35) $false
% 7.99/2.57 |
% 7.99/2.57 |-The branch is then unsatisfiable
% 7.99/2.57 % SZS output end Proof for theBenchmark
% 7.99/2.57
% 7.99/2.57 1990ms
%------------------------------------------------------------------------------