TSTP Solution File: KRS082+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS082+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 02:56:30 EDT 2022
% Result : Unsatisfiable 1.61s 1.00s
% Output : Proof 2.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.10 % Command : ePrincess-casc -timeout=%d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue Jun 7 18:19:51 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.50 ____ _
% 0.14/0.50 ___ / __ \_____(_)___ ________ __________
% 0.14/0.50 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.14/0.50 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.14/0.50 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.14/0.50
% 0.14/0.50 A Theorem Prover for First-Order Logic
% 0.14/0.50 (ePrincess v.1.0)
% 0.14/0.50
% 0.14/0.50 (c) Philipp Rümmer, 2009-2015
% 0.14/0.50 (c) Peter Backeman, 2014-2015
% 0.14/0.50 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.14/0.50 Free software under GNU Lesser General Public License (LGPL).
% 0.14/0.50 Bug reports to peter@backeman.se
% 0.14/0.50
% 0.14/0.50 For more information, visit http://user.uu.se/~petba168/breu/
% 0.14/0.50
% 0.14/0.50 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.14/0.54 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.13/0.77 Prover 0: Preprocessing ...
% 1.42/0.87 Prover 0: Warning: ignoring some quantifiers
% 1.42/0.89 Prover 0: Constructing countermodel ...
% 1.61/1.00 Prover 0: proved (460ms)
% 1.61/1.00
% 1.61/1.00 No countermodel exists, formula is valid
% 1.61/1.00 % SZS status Unsatisfiable for theBenchmark
% 1.61/1.00
% 1.61/1.00 Generating proof ... Warning: ignoring some quantifiers
% 2.19/1.16 found it (size 14)
% 2.19/1.16
% 2.19/1.16 % SZS output start Proof for theBenchmark
% 2.19/1.16 Assumed formulas after preprocessing and simplification:
% 2.19/1.16 | (0) cUnsatisfiable(i2003_11_14_17_19_28752) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rinvS(v2, v3) | ~ rinvP(v1, v2) | ~ rinvR(v0, v1) | ~ ca(v3) | ~ cc(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rp(v1, v2) | ~ rp(v0, v1) | rp(v0, v2)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvP(v0, v1) | rp(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rp(v1, v0) | rinvP(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ca(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : ? [v3] : (rr(v1, v2) & rp(v1, v3) & rs(v0, v1) & cowlThing(v3) & cowlThing(v2) & ! [v4] : ! [v5] : ( ~ rr(v4, v5) | ~ rp(v1, v4) | cc(v5)) & ! [v4] : ( ~ rr(v1, v4) | cc(v4)) & ! [v4] : ( ~ rp(v1, v4) | ? [v5] : (rr(v4, v5) & cowlThing(v5))) & ! [v4] : ( ~ rp(v1, v4) | ? [v5] : (rp(v4, v5) & cowlThing(v5))))) & ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) & ! [v0] : ~ cowlNothing(v0) & ? [v0] : (cc(v0) | ? [v1] : ? [v2] : ? [v3] : (rinvS(v2, v3) & rinvP(v1, v2) & rinvR(v0, v1) & ca(v3))) & ? [v0] : (xsd_integer(v0) | xsd_string(v0)) & ? [v0] : cowlThing(v0)
% 2.44/1.17 | Applying alpha-rule on (0) yields:
% 2.44/1.17 | (1) ? [v0] : cowlThing(v0)
% 2.44/1.17 | (2) ! [v0] : ! [v1] : ( ~ rp(v1, v0) | rinvP(v0, v1))
% 2.44/1.17 | (3) ! [v0] : ! [v1] : ( ~ rinvP(v0, v1) | rp(v1, v0))
% 2.44/1.17 | (4) ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0))
% 2.44/1.17 | (5) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : ? [v3] : (rr(v1, v2) & rp(v1, v3) & rs(v0, v1) & cowlThing(v3) & cowlThing(v2) & ! [v4] : ! [v5] : ( ~ rr(v4, v5) | ~ rp(v1, v4) | cc(v5)) & ! [v4] : ( ~ rr(v1, v4) | cc(v4)) & ! [v4] : ( ~ rp(v1, v4) | ? [v5] : (rr(v4, v5) & cowlThing(v5))) & ! [v4] : ( ~ rp(v1, v4) | ? [v5] : (rp(v4, v5) & cowlThing(v5)))))
% 2.44/1.17 | (6) ? [v0] : (cc(v0) | ? [v1] : ? [v2] : ? [v3] : (rinvS(v2, v3) & rinvP(v1, v2) & rinvR(v0, v1) & ca(v3)))
% 2.44/1.18 | (7) ! [v0] : ( ~ cUnsatisfiable(v0) | ca(v0))
% 2.44/1.18 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rinvS(v2, v3) | ~ rinvP(v1, v2) | ~ rinvR(v0, v1) | ~ ca(v3) | ~ cc(v0))
% 2.44/1.18 | (9) ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1))
% 2.44/1.18 | (10) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0))
% 2.44/1.18 | (11) ! [v0] : ~ cowlNothing(v0)
% 2.44/1.18 | (12) cUnsatisfiable(i2003_11_14_17_19_28752)
% 2.44/1.18 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ rp(v1, v2) | ~ rp(v0, v1) | rp(v0, v2))
% 2.44/1.18 | (14) ? [v0] : (xsd_integer(v0) | xsd_string(v0))
% 2.44/1.18 | (15) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1))
% 2.44/1.18 | (16) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0))
% 2.44/1.18 |
% 2.44/1.18 | Instantiating formula (7) with i2003_11_14_17_19_28752 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_28752), yields:
% 2.44/1.18 | (17) ca(i2003_11_14_17_19_28752)
% 2.44/1.18 |
% 2.44/1.18 | Instantiating formula (5) with i2003_11_14_17_19_28752 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_28752), yields:
% 2.44/1.18 | (18) ? [v0] : ? [v1] : ? [v2] : (rr(v0, v1) & rp(v0, v2) & rs(i2003_11_14_17_19_28752, v0) & cowlThing(v2) & cowlThing(v1) & ! [v3] : ! [v4] : ( ~ rr(v3, v4) | ~ rp(v0, v3) | cc(v4)) & ! [v3] : ( ~ rr(v0, v3) | cc(v3)) & ! [v3] : ( ~ rp(v0, v3) | ? [v4] : (rr(v3, v4) & cowlThing(v4))) & ! [v3] : ( ~ rp(v0, v3) | ? [v4] : (rp(v3, v4) & cowlThing(v4))))
% 2.44/1.18 |
% 2.44/1.18 | Instantiating (18) with all_12_0_3, all_12_1_4, all_12_2_5 yields:
% 2.44/1.18 | (19) rr(all_12_2_5, all_12_1_4) & rp(all_12_2_5, all_12_0_3) & rs(i2003_11_14_17_19_28752, all_12_2_5) & cowlThing(all_12_0_3) & cowlThing(all_12_1_4) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ rp(all_12_2_5, v0) | cc(v1)) & ! [v0] : ( ~ rr(all_12_2_5, v0) | cc(v0)) & ! [v0] : ( ~ rp(all_12_2_5, v0) | ? [v1] : (rr(v0, v1) & cowlThing(v1))) & ! [v0] : ( ~ rp(all_12_2_5, v0) | ? [v1] : (rp(v0, v1) & cowlThing(v1)))
% 2.44/1.18 |
% 2.44/1.18 | Applying alpha-rule on (19) yields:
% 2.44/1.18 | (20) ! [v0] : ( ~ rr(all_12_2_5, v0) | cc(v0))
% 2.44/1.18 | (21) rp(all_12_2_5, all_12_0_3)
% 2.44/1.18 | (22) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ rp(all_12_2_5, v0) | cc(v1))
% 2.44/1.19 | (23) rs(i2003_11_14_17_19_28752, all_12_2_5)
% 2.44/1.19 | (24) ! [v0] : ( ~ rp(all_12_2_5, v0) | ? [v1] : (rp(v0, v1) & cowlThing(v1)))
% 2.44/1.19 | (25) cowlThing(all_12_1_4)
% 2.44/1.19 | (26) cowlThing(all_12_0_3)
% 2.44/1.19 | (27) rr(all_12_2_5, all_12_1_4)
% 2.44/1.19 | (28) ! [v0] : ( ~ rp(all_12_2_5, v0) | ? [v1] : (rr(v0, v1) & cowlThing(v1)))
% 2.44/1.19 |
% 2.44/1.19 | Instantiating formula (28) with all_12_0_3 and discharging atoms rp(all_12_2_5, all_12_0_3), yields:
% 2.44/1.19 | (29) ? [v0] : (rr(all_12_0_3, v0) & cowlThing(v0))
% 2.44/1.19 |
% 2.44/1.19 | Instantiating formula (2) with all_12_2_5, all_12_0_3 and discharging atoms rp(all_12_2_5, all_12_0_3), yields:
% 2.44/1.19 | (30) rinvP(all_12_0_3, all_12_2_5)
% 2.44/1.19 |
% 2.44/1.19 | Instantiating formula (9) with i2003_11_14_17_19_28752, all_12_2_5 and discharging atoms rs(i2003_11_14_17_19_28752, all_12_2_5), yields:
% 2.44/1.19 | (31) rinvS(all_12_2_5, i2003_11_14_17_19_28752)
% 2.44/1.19 |
% 2.44/1.19 | Instantiating (29) with all_23_0_7 yields:
% 2.44/1.19 | (32) rr(all_12_0_3, all_23_0_7) & cowlThing(all_23_0_7)
% 2.44/1.19 |
% 2.44/1.19 | Applying alpha-rule on (32) yields:
% 2.44/1.19 | (33) rr(all_12_0_3, all_23_0_7)
% 2.44/1.19 | (34) cowlThing(all_23_0_7)
% 2.44/1.19 |
% 2.44/1.19 | Instantiating formula (22) with all_23_0_7, all_12_0_3 and discharging atoms rr(all_12_0_3, all_23_0_7), rp(all_12_2_5, all_12_0_3), yields:
% 2.44/1.19 | (35) cc(all_23_0_7)
% 2.44/1.19 |
% 2.44/1.19 | Instantiating formula (15) with all_12_0_3, all_23_0_7 and discharging atoms rr(all_12_0_3, all_23_0_7), yields:
% 2.44/1.19 | (36) rinvR(all_23_0_7, all_12_0_3)
% 2.44/1.19 |
% 2.44/1.19 | Instantiating formula (8) with i2003_11_14_17_19_28752, all_12_2_5, all_12_0_3, all_23_0_7 and discharging atoms rinvS(all_12_2_5, i2003_11_14_17_19_28752), rinvP(all_12_0_3, all_12_2_5), rinvR(all_23_0_7, all_12_0_3), ca(i2003_11_14_17_19_28752), cc(all_23_0_7), yields:
% 2.44/1.19 | (37) $false
% 2.44/1.19 |
% 2.44/1.19 |-The branch is then unsatisfiable
% 2.44/1.19 % SZS output end Proof for theBenchmark
% 2.44/1.19
% 2.44/1.19 684ms
%------------------------------------------------------------------------------