TSTP Solution File: KRS068+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS068+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 02:56:28 EDT 2022
% Result : Unsatisfiable 2.35s 1.21s
% Output : Proof 3.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : KRS068+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.09 % Command : ePrincess-casc -timeout=%d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue Jun 7 13:28:20 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.13/0.45 ____ _
% 0.13/0.45 ___ / __ \_____(_)___ ________ __________
% 0.13/0.45 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.13/0.45 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.13/0.45 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.13/0.45
% 0.13/0.45 A Theorem Prover for First-Order Logic
% 0.13/0.45 (ePrincess v.1.0)
% 0.13/0.45
% 0.13/0.45 (c) Philipp Rümmer, 2009-2015
% 0.13/0.45 (c) Peter Backeman, 2014-2015
% 0.13/0.45 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.13/0.45 Free software under GNU Lesser General Public License (LGPL).
% 0.13/0.45 Bug reports to peter@backeman.se
% 0.13/0.45
% 0.13/0.45 For more information, visit http://user.uu.se/~petba168/breu/
% 0.13/0.45
% 0.13/0.45 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.13/0.49 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 0.96/0.72 Prover 0: Preprocessing ...
% 1.16/0.78 Prover 0: Warning: ignoring some quantifiers
% 1.16/0.80 Prover 0: Constructing countermodel ...
% 1.30/0.90 Prover 0: gave up
% 1.30/0.90 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.30/0.92 Prover 1: Preprocessing ...
% 1.84/1.02 Prover 1: Constructing countermodel ...
% 2.00/1.05 Prover 1: gave up
% 2.00/1.05 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.00/1.06 Prover 2: Preprocessing ...
% 2.24/1.14 Prover 2: Warning: ignoring some quantifiers
% 2.24/1.14 Prover 2: Constructing countermodel ...
% 2.35/1.21 Prover 2: proved (152ms)
% 2.35/1.21
% 2.35/1.21 No countermodel exists, formula is valid
% 2.35/1.21 % SZS status Unsatisfiable for theBenchmark
% 2.35/1.21
% 2.35/1.21 Generating proof ... Warning: ignoring some quantifiers
% 3.12/1.38 found it (size 23)
% 3.12/1.38
% 3.12/1.38 % SZS output start Proof for theBenchmark
% 3.12/1.38 Assumed formulas after preprocessing and simplification:
% 3.12/1.38 | (0) cUnsatisfiable(i2003_11_14_17_18_23845) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rr(v3, v2) = v1) | ~ (rr(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (cc(v1) = v2) | ~ (cc(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & rr(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cd(v2) = v1) | ~ (cd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cc(v2) = v1) | ~ (cc(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cUnsatisfiable(v2) = v1) | ~ (cUnsatisfiable(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cd(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & rr(v0, v2) = 0 & cc(v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cc(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & cUnsatisfiable(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_integer(v0) = v1) | xsd_string(v0) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_string(v0) = v1) | xsd_integer(v0) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cowlThing(v0) = v1)) & ! [v0] : ! [v1] : ( ~ (rr(v0, v1) = 0) | ~ (cc(v0) = 0) | cc(v1) = 0) & ! [v0] : ( ~ (cd(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cUnsatisfiable(v0) = v1)) & ! [v0] : ( ~ (cUnsatisfiable(v0) = 0) | cc(v0) = 0) & ! [v0] : ( ~ (cUnsatisfiable(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cd(v0) = v1)) & ! [v0] : ( ~ (xsd_integer(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_string(v0) = v1)) & ! [v0] : ( ~ (xsd_string(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) & ! [v0] : ~ (cowlNothing(v0) = 0) & ? [v0] : ? [v1] : ? [v2] : rr(v1, v0) = v2 & ? [v0] : ? [v1] : cd(v0) = v1 & ? [v0] : ? [v1] : cc(v0) = v1 & ? [v0] : ? [v1] : cUnsatisfiable(v0) = v1 & ? [v0] : ? [v1] : xsd_integer(v0) = v1 & ? [v0] : ? [v1] : xsd_string(v0) = v1 & ? [v0] : ? [v1] : cowlNothing(v0) = v1 & ? [v0] : ? [v1] : cowlThing(v0) = v1
% 3.12/1.41 | Applying alpha-rule on (0) yields:
% 3.12/1.41 | (1) ! [v0] : ~ (cowlNothing(v0) = 0)
% 3.12/1.41 | (2) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (cc(v1) = v2) | ~ (cc(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & rr(v0, v1) = v3))
% 3.12/1.41 | (3) ? [v0] : ? [v1] : cUnsatisfiable(v0) = v1
% 3.12/1.41 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cd(v2) = v1) | ~ (cd(v2) = v0))
% 3.12/1.41 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cUnsatisfiable(v2) = v1) | ~ (cUnsatisfiable(v2) = v0))
% 3.12/1.42 | (6) ? [v0] : ? [v1] : cd(v0) = v1
% 3.12/1.42 | (7) ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_string(v0) = v1) | xsd_integer(v0) = 0)
% 3.12/1.42 | (8) ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_integer(v0) = v1) | xsd_string(v0) = 0)
% 3.12/1.42 | (9) ? [v0] : ? [v1] : cowlNothing(v0) = v1
% 3.12/1.42 | (10) ! [v0] : ! [v1] : (v1 = 0 | ~ (cd(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & rr(v0, v2) = 0 & cc(v2) = v3))
% 3.12/1.42 | (11) ! [v0] : ( ~ (cUnsatisfiable(v0) = 0) | cc(v0) = 0)
% 3.12/1.42 | (12) ? [v0] : ? [v1] : xsd_integer(v0) = v1
% 3.12/1.42 | (13) ! [v0] : ! [v1] : (v1 = 0 | ~ (cc(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & cUnsatisfiable(v0) = v2))
% 3.12/1.42 | (14) ! [v0] : ( ~ (xsd_string(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_integer(v0) = v1))
% 3.12/1.42 | (15) ! [v0] : ( ~ (xsd_integer(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_string(v0) = v1))
% 3.12/1.42 | (16) ? [v0] : ? [v1] : xsd_string(v0) = v1
% 3.12/1.42 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0))
% 3.12/1.42 | (18) ! [v0] : ! [v1] : ( ~ (rr(v0, v1) = 0) | ~ (cc(v0) = 0) | cc(v1) = 0)
% 3.12/1.42 | (19) ! [v0] : ! [v1] : (v1 = 0 | ~ (cowlThing(v0) = v1))
% 3.12/1.42 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rr(v3, v2) = v1) | ~ (rr(v3, v2) = v0))
% 3.12/1.42 | (21) ? [v0] : ? [v1] : cc(v0) = v1
% 3.12/1.42 | (22) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0))
% 3.12/1.42 | (23) ? [v0] : ? [v1] : cowlThing(v0) = v1
% 3.12/1.42 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0))
% 3.12/1.42 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cc(v2) = v1) | ~ (cc(v2) = v0))
% 3.12/1.42 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0))
% 3.12/1.42 | (27) cUnsatisfiable(i2003_11_14_17_18_23845) = 0
% 3.12/1.42 | (28) ? [v0] : ? [v1] : ? [v2] : rr(v1, v0) = v2
% 3.12/1.42 | (29) ! [v0] : ( ~ (cUnsatisfiable(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cd(v0) = v1))
% 3.12/1.42 | (30) ! [v0] : ( ~ (cd(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cUnsatisfiable(v0) = v1))
% 3.12/1.42 |
% 3.12/1.42 | Instantiating formula (11) with i2003_11_14_17_18_23845 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_23845) = 0, yields:
% 3.12/1.42 | (31) cc(i2003_11_14_17_18_23845) = 0
% 3.12/1.43 |
% 3.12/1.43 | Instantiating formula (29) with i2003_11_14_17_18_23845 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_23845) = 0, yields:
% 3.12/1.43 | (32) ? [v0] : ( ~ (v0 = 0) & cd(i2003_11_14_17_18_23845) = v0)
% 3.12/1.43 |
% 3.12/1.43 | Instantiating (32) with all_28_0_17 yields:
% 3.12/1.43 | (33) ~ (all_28_0_17 = 0) & cd(i2003_11_14_17_18_23845) = all_28_0_17
% 3.12/1.43 |
% 3.12/1.43 | Applying alpha-rule on (33) yields:
% 3.12/1.43 | (34) ~ (all_28_0_17 = 0)
% 3.12/1.43 | (35) cd(i2003_11_14_17_18_23845) = all_28_0_17
% 3.12/1.43 |
% 3.12/1.43 | Instantiating formula (10) with all_28_0_17, i2003_11_14_17_18_23845 and discharging atoms cd(i2003_11_14_17_18_23845) = all_28_0_17, yields:
% 3.12/1.43 | (36) all_28_0_17 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & rr(i2003_11_14_17_18_23845, v0) = 0 & cc(v0) = v1)
% 3.12/1.43 |
% 3.12/1.43 +-Applying beta-rule and splitting (36), into two cases.
% 3.12/1.43 |-Branch one:
% 3.12/1.43 | (37) all_28_0_17 = 0
% 3.12/1.43 |
% 3.12/1.43 | Equations (37) can reduce 34 to:
% 3.12/1.43 | (38) $false
% 3.12/1.43 |
% 3.39/1.43 |-The branch is then unsatisfiable
% 3.39/1.43 |-Branch two:
% 3.39/1.43 | (34) ~ (all_28_0_17 = 0)
% 3.39/1.43 | (40) ? [v0] : ? [v1] : ( ~ (v1 = 0) & rr(i2003_11_14_17_18_23845, v0) = 0 & cc(v0) = v1)
% 3.39/1.43 |
% 3.39/1.43 | Instantiating (40) with all_37_0_18, all_37_1_19 yields:
% 3.39/1.43 | (41) ~ (all_37_0_18 = 0) & rr(i2003_11_14_17_18_23845, all_37_1_19) = 0 & cc(all_37_1_19) = all_37_0_18
% 3.39/1.43 |
% 3.39/1.43 | Applying alpha-rule on (41) yields:
% 3.39/1.43 | (42) ~ (all_37_0_18 = 0)
% 3.39/1.43 | (43) rr(i2003_11_14_17_18_23845, all_37_1_19) = 0
% 3.39/1.43 | (44) cc(all_37_1_19) = all_37_0_18
% 3.39/1.43 |
% 3.39/1.43 | Instantiating formula (18) with all_37_1_19, i2003_11_14_17_18_23845 and discharging atoms rr(i2003_11_14_17_18_23845, all_37_1_19) = 0, cc(i2003_11_14_17_18_23845) = 0, yields:
% 3.39/1.43 | (45) cc(all_37_1_19) = 0
% 3.39/1.43 |
% 3.39/1.43 | Instantiating formula (2) with all_37_0_18, all_37_1_19, i2003_11_14_17_18_23845 and discharging atoms cc(all_37_1_19) = all_37_0_18, cc(i2003_11_14_17_18_23845) = 0, yields:
% 3.39/1.43 | (46) all_37_0_18 = 0 | ? [v0] : ( ~ (v0 = 0) & rr(i2003_11_14_17_18_23845, all_37_1_19) = v0)
% 3.39/1.43 |
% 3.39/1.43 | Instantiating formula (13) with all_37_0_18, all_37_1_19 and discharging atoms cc(all_37_1_19) = all_37_0_18, yields:
% 3.39/1.43 | (47) all_37_0_18 = 0 | ? [v0] : ( ~ (v0 = 0) & cUnsatisfiable(all_37_1_19) = v0)
% 3.39/1.43 |
% 3.39/1.43 +-Applying beta-rule and splitting (46), into two cases.
% 3.39/1.43 |-Branch one:
% 3.39/1.43 | (48) all_37_0_18 = 0
% 3.39/1.43 |
% 3.39/1.43 | Equations (48) can reduce 42 to:
% 3.39/1.43 | (38) $false
% 3.39/1.43 |
% 3.39/1.43 |-The branch is then unsatisfiable
% 3.39/1.43 |-Branch two:
% 3.39/1.43 | (42) ~ (all_37_0_18 = 0)
% 3.39/1.43 | (51) ? [v0] : ( ~ (v0 = 0) & rr(i2003_11_14_17_18_23845, all_37_1_19) = v0)
% 3.39/1.43 |
% 3.39/1.43 +-Applying beta-rule and splitting (47), into two cases.
% 3.39/1.43 |-Branch one:
% 3.39/1.43 | (48) all_37_0_18 = 0
% 3.39/1.43 |
% 3.39/1.43 | Equations (48) can reduce 42 to:
% 3.39/1.43 | (38) $false
% 3.39/1.43 |
% 3.39/1.43 |-The branch is then unsatisfiable
% 3.39/1.43 |-Branch two:
% 3.39/1.43 | (42) ~ (all_37_0_18 = 0)
% 3.39/1.43 | (55) ? [v0] : ( ~ (v0 = 0) & cUnsatisfiable(all_37_1_19) = v0)
% 3.39/1.43 |
% 3.39/1.43 | Instantiating formula (25) with all_37_1_19, 0, all_37_0_18 and discharging atoms cc(all_37_1_19) = all_37_0_18, cc(all_37_1_19) = 0, yields:
% 3.39/1.43 | (48) all_37_0_18 = 0
% 3.39/1.43 |
% 3.39/1.43 | Equations (48) can reduce 42 to:
% 3.39/1.43 | (38) $false
% 3.39/1.43 |
% 3.39/1.43 |-The branch is then unsatisfiable
% 3.39/1.43 % SZS output end Proof for theBenchmark
% 3.39/1.43
% 3.39/1.43 976ms
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