TSTP Solution File: KRS108+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS108+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.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 3.06s 1.40s
% Output : Proof 4.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS108+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.32 % Computer : n025.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 12:25:34 EDT 2022
% 0.11/0.33 % 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/sandbox2/benchmark/theBenchmark.p ...
% 0.18/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.82/1.00 Prover 0: Preprocessing ...
% 2.44/1.23 Prover 0: Warning: ignoring some quantifiers
% 2.44/1.26 Prover 0: Constructing countermodel ...
% 3.06/1.40 Prover 0: proved (775ms)
% 3.06/1.40
% 3.06/1.40 No countermodel exists, formula is valid
% 3.06/1.40 % SZS status Unsatisfiable for theBenchmark
% 3.06/1.40
% 3.06/1.40 Generating proof ... Warning: ignoring some quantifiers
% 3.94/1.63 found it (size 17)
% 3.94/1.63
% 3.94/1.63 % SZS output start Proof for theBenchmark
% 3.94/1.63 Assumed formulas after preprocessing and simplification:
% 3.94/1.63 | (0) cUnsatisfiable(i2003_11_14_17_21_04740) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ ca_Ax14(v0)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cp1(v1) | ca_Ax14(v0) | ? [v2] : ? [v3] : ( ~ (v3 = v2) & rr(v0, v3) & rr(v0, v2))) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ cp2(v0) | ~ ca_Ax14(v1) | cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ ra_Px7(v0, v1) | ~ cp4(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px7(v0, v1) | cp4xcomp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px6(v0, v1) | ~ cp3xcomp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px6(v0, v1) | cp3(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px5(v0, v1) | ~ cp2xcomp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px5(v0, v1) | cp2(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px4(v0, v1) | ~ cp5(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px4(v0, v1) | cp5xcomp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px3(v0, v1) | ~ ca_Cx3(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px3(v0, v1) | ca_Cx3xcomp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | ~ ca_Cx2(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | ca_Cx2xcomp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ ca_Cx1xcomp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ca_Cx1(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cp5xcomp(v0) | ~ cp4xcomp(v0) | ~ cp3xcomp(v0) | ~ cp2xcomp(v0) | ca_Cx1(v0)) & ! [v0] : ( ~ cp5xcomp(v0) | ~ cp4xcomp(v0) | ~ cp3xcomp(v0) | ca_Cx2(v0)) & ! [v0] : ( ~ cp5xcomp(v0) | ~ cp4xcomp(v0) | ca_Cx3(v0)) & ! [v0] : ( ~ cp5xcomp(v0) | ? [v1] : ra_Px4(v0, v1)) & ! [v0] : ( ~ cp4xcomp(v0) | ? [v1] : ra_Px7(v0, v1)) & ! [v0] : ( ~ cp4(v0) | cp5xcomp(v0)) & ! [v0] : ( ~ cp3(v0) | ca_Cx3(v0)) & ! [v0] : ( ~ cp3(v0) | ? [v1] : ra_Px6(v0, v1)) & ! [v0] : ( ~ cp2(v0) | ca_Cx2(v0)) & ! [v0] : ( ~ cp2(v0) | ? [v1] : ra_Px5(v0, v1)) & ! [v0] : ( ~ cp1(v0) | ca_Cx1(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ ca_Cx3xcomp(v0) | ? [v1] : ra_Px3(v0, v1)) & ! [v0] : ( ~ ca_Cx3(v0) | cp5xcomp(v0)) & ! [v0] : ( ~ ca_Cx3(v0) | cp4xcomp(v0)) & ! [v0] : ( ~ ca_Cx2xcomp(v0) | ? [v1] : ra_Px2(v0, v1)) & ! [v0] : ( ~ ca_Cx2(v0) | cp5xcomp(v0)) & ! [v0] : ( ~ ca_Cx2(v0) | cp4xcomp(v0)) & ! [v0] : ( ~ ca_Cx2(v0) | cp3xcomp(v0)) & ! [v0] : ( ~ ca_Cx1(v0) | cp5xcomp(v0)) & ! [v0] : ( ~ ca_Cx1(v0) | cp4xcomp(v0)) & ! [v0] : ( ~ ca_Cx1(v0) | cp3xcomp(v0)) & ! [v0] : ( ~ ca_Cx1(v0) | cp2xcomp(v0)) & ! [v0] : ( ~ ca_Cx1(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ ca_Ax14(v0) | ? [v1] : (rr(v0, v1) & cp1(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | cp2(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rinvR(v0, v1) & ca_Ax14(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp5(v0) | ? [v1] : ra_Px4(v0, v1)) & ? [v0] : (cp4(v0) | ? [v1] : ra_Px7(v0, v1)) & ? [v0] : (cp3xcomp(v0) | ? [v1] : ra_Px6(v0, v1)) & ? [v0] : (cp2xcomp(v0) | ? [v1] : ra_Px5(v0, v1)) & ? [v0] : cowlThing(v0) & ? [v0] : (ca_Cx3(v0) | ? [v1] : ra_Px3(v0, v1)) & ? [v0] : (ca_Cx2(v0) | ? [v1] : ra_Px2(v0, v1)) & ? [v0] : (ca_Cx1xcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 4.25/1.65 | Applying alpha-rule on (0) yields:
% 4.25/1.65 | (1) cUnsatisfiable(i2003_11_14_17_21_04740)
% 4.25/1.65 | (2) ! [v0] : ( ~ cp1(v0) | ca_Cx1(v0))
% 4.25/1.65 | (3) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 4.25/1.65 | (4) ? [v0] : (cp2xcomp(v0) | ? [v1] : ra_Px5(v0, v1))
% 4.25/1.65 | (5) ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | ca_Cx2xcomp(v0))
% 4.25/1.65 | (6) ! [v0] : ( ~ ca_Cx3(v0) | cp4xcomp(v0))
% 4.25/1.65 | (7) ! [v0] : ( ~ cp5xcomp(v0) | ~ cp4xcomp(v0) | ca_Cx3(v0))
% 4.25/1.65 | (8) ! [v0] : ! [v1] : ( ~ ra_Px3(v0, v1) | ~ ca_Cx3(v0))
% 4.25/1.66 | (9) ? [v0] : (cp3xcomp(v0) | ? [v1] : ra_Px6(v0, v1))
% 4.25/1.66 | (10) ! [v0] : ( ~ cUnsatisfiable(v0) | cp2(v0))
% 4.25/1.66 | (11) ! [v0] : ( ~ cp5xcomp(v0) | ? [v1] : ra_Px4(v0, v1))
% 4.25/1.66 | (12) ! [v0] : ! [v1] : ( ~ ra_Px4(v0, v1) | cp5xcomp(v0))
% 4.25/1.66 | (13) ! [v0] : ( ~ cp3(v0) | ca_Cx3(v0))
% 4.25/1.66 | (14) ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | ~ ca_Cx2(v0))
% 4.25/1.66 | (15) ! [v0] : ( ~ ca_Cx2xcomp(v0) | ? [v1] : ra_Px2(v0, v1))
% 4.25/1.66 | (16) ? [v0] : (cp4(v0) | ? [v1] : ra_Px7(v0, v1))
% 4.25/1.66 | (17) ! [v0] : ( ~ ca_Ax14(v0) | ? [v1] : (rr(v0, v1) & cp1(v1)))
% 4.25/1.66 | (18) ! [v0] : ! [v1] : ( ~ ra_Px6(v0, v1) | cp3(v0))
% 4.25/1.66 | (19) ! [v0] : ( ~ cp2(v0) | ? [v1] : ra_Px5(v0, v1))
% 4.25/1.66 | (20) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ ca_Cx1xcomp(v0))
% 4.25/1.66 | (21) ! [v0] : ( ~ ca_Cx1(v0) | cp2xcomp(v0))
% 4.25/1.66 | (22) ! [v0] : ! [v1] : ( ~ ra_Px7(v0, v1) | cp4xcomp(v0))
% 4.25/1.66 | (23) ! [v0] : ! [v1] : ( ~ ra_Px4(v0, v1) | ~ cp5(v0))
% 4.25/1.66 | (24) ! [v0] : ( ~ ca_Cx1(v0) | cp5xcomp(v0))
% 4.25/1.66 | (25) ! [v0] : ( ~ cp5xcomp(v0) | ~ cp4xcomp(v0) | ~ cp3xcomp(v0) | ca_Cx2(v0))
% 4.25/1.66 | (26) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ca_Cx1(v0))
% 4.25/1.66 | (27) ! [v0] : ~ cowlNothing(v0)
% 4.25/1.66 | (28) ! [v0] : ( ~ ca_Cx2(v0) | cp3xcomp(v0))
% 4.25/1.66 | (29) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ ca_Ax14(v0))
% 4.25/1.66 | (30) ? [v0] : cowlThing(v0)
% 4.25/1.66 | (31) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rinvR(v0, v1) & ca_Ax14(v1)))
% 4.25/1.66 | (32) ! [v0] : ( ~ ca_Cx1(v0) | ? [v1] : ra_Px1(v0, v1))
% 4.25/1.66 | (33) ! [v0] : ! [v1] : ( ~ ra_Px6(v0, v1) | ~ cp3xcomp(v0))
% 4.25/1.66 | (34) ! [v0] : ( ~ cp4xcomp(v0) | ? [v1] : ra_Px7(v0, v1))
% 4.25/1.66 | (35) ! [v0] : ! [v1] : ( ~ ra_Px7(v0, v1) | ~ cp4(v0))
% 4.25/1.66 | (36) ! [v0] : ( ~ cp5xcomp(v0) | ~ cp4xcomp(v0) | ~ cp3xcomp(v0) | ~ cp2xcomp(v0) | ca_Cx1(v0))
% 4.25/1.66 | (37) ! [v0] : ( ~ ca_Cx1(v0) | cp4xcomp(v0))
% 4.25/1.66 | (38) ! [v0] : ( ~ ca_Cx2(v0) | cp5xcomp(v0))
% 4.25/1.66 | (39) ! [v0] : ! [v1] : ( ~ ra_Px5(v0, v1) | ~ cp2xcomp(v0))
% 4.25/1.66 | (40) ! [v0] : ( ~ ca_Cx2(v0) | cp4xcomp(v0))
% 4.25/1.66 | (41) ? [v0] : (ca_Cx2(v0) | ? [v1] : ra_Px2(v0, v1))
% 4.25/1.66 | (42) ! [v0] : ! [v1] : ( ~ ra_Px5(v0, v1) | cp2(v0))
% 4.25/1.66 | (43) ! [v0] : ( ~ ca_Cx3(v0) | cp5xcomp(v0))
% 4.25/1.66 | (44) ! [v0] : ( ~ ca_Cx1(v0) | cp3xcomp(v0))
% 4.25/1.66 | (45) ? [v0] : (ca_Cx3(v0) | ? [v1] : ra_Px3(v0, v1))
% 4.25/1.66 | (46) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ cp2(v0) | ~ ca_Ax14(v1) | cUnsatisfiable(v0))
% 4.25/1.67 | (47) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cp1(v1) | ca_Ax14(v0) | ? [v2] : ? [v3] : ( ~ (v3 = v2) & rr(v0, v3) & rr(v0, v2)))
% 4.25/1.67 | (48) ! [v0] : ( ~ cp3(v0) | ? [v1] : ra_Px6(v0, v1))
% 4.31/1.67 | (49) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 4.31/1.67 | (50) ? [v0] : (cp5(v0) | ? [v1] : ra_Px4(v0, v1))
% 4.31/1.67 | (51) ! [v0] : ( ~ cp4(v0) | cp5xcomp(v0))
% 4.31/1.67 | (52) ! [v0] : ( ~ ca_Cx3xcomp(v0) | ? [v1] : ra_Px3(v0, v1))
% 4.31/1.67 | (53) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0))
% 4.31/1.67 | (54) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1))
% 4.31/1.67 | (55) ! [v0] : ( ~ cp2(v0) | ca_Cx2(v0))
% 4.31/1.67 | (56) ? [v0] : (ca_Cx1xcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 4.31/1.67 | (57) ! [v0] : ! [v1] : ( ~ ra_Px3(v0, v1) | ca_Cx3xcomp(v0))
% 4.31/1.67 |
% 4.31/1.67 | Instantiating formula (10) with i2003_11_14_17_21_04740 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_04740), yields:
% 4.31/1.67 | (58) cp2(i2003_11_14_17_21_04740)
% 4.31/1.67 |
% 4.31/1.67 | Instantiating formula (31) with i2003_11_14_17_21_04740 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_04740), yields:
% 4.31/1.67 | (59) ? [v0] : (rinvR(i2003_11_14_17_21_04740, v0) & ca_Ax14(v0))
% 4.31/1.67 |
% 4.31/1.67 | Instantiating (59) with all_18_0_9 yields:
% 4.31/1.67 | (60) rinvR(i2003_11_14_17_21_04740, all_18_0_9) & ca_Ax14(all_18_0_9)
% 4.31/1.67 |
% 4.31/1.67 | Applying alpha-rule on (60) yields:
% 4.31/1.67 | (61) rinvR(i2003_11_14_17_21_04740, all_18_0_9)
% 4.31/1.67 | (62) ca_Ax14(all_18_0_9)
% 4.31/1.67 |
% 4.31/1.67 | Instantiating formula (53) with all_18_0_9, i2003_11_14_17_21_04740 and discharging atoms rinvR(i2003_11_14_17_21_04740, all_18_0_9), yields:
% 4.31/1.67 | (63) rr(all_18_0_9, i2003_11_14_17_21_04740)
% 4.31/1.67 |
% 4.31/1.67 | Instantiating formula (19) with i2003_11_14_17_21_04740 and discharging atoms cp2(i2003_11_14_17_21_04740), yields:
% 4.31/1.67 | (64) ? [v0] : ra_Px5(i2003_11_14_17_21_04740, v0)
% 4.31/1.67 |
% 4.31/1.67 | Instantiating formula (17) with all_18_0_9 and discharging atoms ca_Ax14(all_18_0_9), yields:
% 4.31/1.67 | (65) ? [v0] : (rr(all_18_0_9, v0) & cp1(v0))
% 4.31/1.67 |
% 4.31/1.67 | Instantiating (65) with all_26_0_10 yields:
% 4.31/1.67 | (66) rr(all_18_0_9, all_26_0_10) & cp1(all_26_0_10)
% 4.31/1.67 |
% 4.31/1.67 | Applying alpha-rule on (66) yields:
% 4.31/1.67 | (67) rr(all_18_0_9, all_26_0_10)
% 4.31/1.67 | (68) cp1(all_26_0_10)
% 4.31/1.67 |
% 4.31/1.67 | Instantiating (64) with all_28_0_11 yields:
% 4.31/1.67 | (69) ra_Px5(i2003_11_14_17_21_04740, all_28_0_11)
% 4.31/1.67 |
% 4.31/1.67 | Instantiating formula (29) with i2003_11_14_17_21_04740, all_26_0_10, all_18_0_9 and discharging atoms rr(all_18_0_9, all_26_0_10), rr(all_18_0_9, i2003_11_14_17_21_04740), ca_Ax14(all_18_0_9), yields:
% 4.31/1.67 | (70) all_26_0_10 = i2003_11_14_17_21_04740
% 4.31/1.67 |
% 4.31/1.67 | From (70) and (68) follows:
% 4.31/1.68 | (71) cp1(i2003_11_14_17_21_04740)
% 4.31/1.68 |
% 4.31/1.68 | Instantiating formula (2) with i2003_11_14_17_21_04740 and discharging atoms cp1(i2003_11_14_17_21_04740), yields:
% 4.31/1.68 | (72) ca_Cx1(i2003_11_14_17_21_04740)
% 4.31/1.68 |
% 4.31/1.68 | Instantiating formula (21) with i2003_11_14_17_21_04740 and discharging atoms ca_Cx1(i2003_11_14_17_21_04740), yields:
% 4.31/1.68 | (73) cp2xcomp(i2003_11_14_17_21_04740)
% 4.31/1.68 |
% 4.31/1.68 | Instantiating formula (39) with all_28_0_11, i2003_11_14_17_21_04740 and discharging atoms ra_Px5(i2003_11_14_17_21_04740, all_28_0_11), cp2xcomp(i2003_11_14_17_21_04740), yields:
% 4.31/1.68 | (74) $false
% 4.31/1.68 |
% 4.31/1.68 |-The branch is then unsatisfiable
% 4.31/1.68 % SZS output end Proof for theBenchmark
% 4.31/1.68
% 4.31/1.68 1096ms
%------------------------------------------------------------------------------