TSTP Solution File: KRS113+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS113+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 2.29s 1.30s
% Output : Proof 3.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : KRS113+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.15 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 7 11:08:10 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.67/0.67 ____ _
% 0.67/0.67 ___ / __ \_____(_)___ ________ __________
% 0.67/0.67 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.67/0.67 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.67/0.67 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.67/0.67
% 0.67/0.67 A Theorem Prover for First-Order Logic
% 0.67/0.67 (ePrincess v.1.0)
% 0.67/0.67
% 0.67/0.67 (c) Philipp Rümmer, 2009-2015
% 0.67/0.67 (c) Peter Backeman, 2014-2015
% 0.67/0.67 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.67/0.67 Free software under GNU Lesser General Public License (LGPL).
% 0.67/0.67 Bug reports to peter@backeman.se
% 0.67/0.67
% 0.67/0.67 For more information, visit http://user.uu.se/~petba168/breu/
% 0.67/0.67
% 0.67/0.67 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.67/0.72 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.57/1.03 Prover 0: Preprocessing ...
% 2.03/1.17 Prover 0: Warning: ignoring some quantifiers
% 2.11/1.19 Prover 0: Constructing countermodel ...
% 2.29/1.30 Prover 0: proved (580ms)
% 2.29/1.30
% 2.29/1.30 No countermodel exists, formula is valid
% 2.29/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.29/1.30
% 2.29/1.30 Generating proof ... Warning: ignoring some quantifiers
% 3.15/1.48 found it (size 17)
% 3.15/1.48
% 3.15/1.48 % SZS output start Proof for theBenchmark
% 3.15/1.49 Assumed formulas after preprocessing and simplification:
% 3.15/1.49 | (0) cUnsatisfiable(i2003_11_14_17_21_22376) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rs(v0, v1) | ~ rr(v0, v2) | ~ cpxcomp(v0) | ~ cp(v1) | ~ ca_Vx2(v2) | cUnsatisfiable(v0) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & rr(v0, v4) & rr(v0, v3))) & ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rr(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | ~ ca_Vx2(v0) | cp(v1)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cpxcomp(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | cpxcomp(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rs(v0, v1) & cp(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Vx2(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0) & ? [v0] : (ca_Vx2(v0) | ? [v1] : (rinvS(v0, v1) & ~ cp(v1)))
% 3.15/1.50 | Applying alpha-rule on (0) yields:
% 3.15/1.50 | (1) ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1))
% 3.15/1.50 | (2) cUnsatisfiable(i2003_11_14_17_21_22376)
% 3.15/1.50 | (3) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rs(v0, v1) & cp(v1)))
% 3.15/1.50 | (4) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rr(v0, v1))
% 3.15/1.50 | (5) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | ~ ca_Vx2(v0) | cp(v1))
% 3.15/1.50 | (6) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 3.15/1.50 | (7) ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 3.15/1.50 | (8) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0))
% 3.15/1.50 | (9) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp(v0))
% 3.15/1.50 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ rs(v0, v1) | ~ rr(v0, v2) | ~ cpxcomp(v0) | ~ cp(v1) | ~ ca_Vx2(v2) | cUnsatisfiable(v0) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & rr(v0, v4) & rr(v0, v3)))
% 3.15/1.50 | (11) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 3.15/1.50 | (12) ? [v0] : cowlThing(v0)
% 3.15/1.50 | (13) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0))
% 3.15/1.50 | (14) ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1))
% 3.15/1.50 | (15) ! [v0] : ~ cowlNothing(v0)
% 3.15/1.51 | (16) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cpxcomp(v0))
% 3.15/1.51 | (17) ? [v0] : (ca_Vx2(v0) | ? [v1] : (rinvS(v0, v1) & ~ cp(v1)))
% 3.15/1.51 | (18) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Vx2(v1)))
% 3.15/1.51 | (19) ! [v0] : ( ~ cUnsatisfiable(v0) | cpxcomp(v0))
% 3.15/1.51 |
% 3.15/1.51 | Instantiating formula (19) with i2003_11_14_17_21_22376 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_22376), yields:
% 3.15/1.51 | (20) cpxcomp(i2003_11_14_17_21_22376)
% 3.15/1.51 |
% 3.15/1.51 | Instantiating formula (3) with i2003_11_14_17_21_22376 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_22376), yields:
% 3.15/1.51 | (21) ? [v0] : (rs(i2003_11_14_17_21_22376, v0) & cp(v0))
% 3.15/1.51 |
% 3.15/1.51 | Instantiating formula (18) with i2003_11_14_17_21_22376 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_22376), yields:
% 3.15/1.51 | (22) ? [v0] : (rr(i2003_11_14_17_21_22376, v0) & ca_Vx2(v0))
% 3.15/1.51 |
% 3.15/1.51 | Instantiating (21) with all_13_0_4 yields:
% 3.15/1.51 | (23) rs(i2003_11_14_17_21_22376, all_13_0_4) & cp(all_13_0_4)
% 3.15/1.51 |
% 3.15/1.51 | Applying alpha-rule on (23) yields:
% 3.15/1.51 | (24) rs(i2003_11_14_17_21_22376, all_13_0_4)
% 3.15/1.51 | (25) cp(all_13_0_4)
% 3.15/1.51 |
% 3.15/1.51 | Instantiating (22) with all_15_0_5 yields:
% 3.15/1.51 | (26) rr(i2003_11_14_17_21_22376, all_15_0_5) & ca_Vx2(all_15_0_5)
% 3.15/1.51 |
% 3.15/1.51 | Applying alpha-rule on (26) yields:
% 3.15/1.51 | (27) rr(i2003_11_14_17_21_22376, all_15_0_5)
% 3.15/1.51 | (28) ca_Vx2(all_15_0_5)
% 3.15/1.51 |
% 3.15/1.51 | Instantiating formula (14) with i2003_11_14_17_21_22376, all_13_0_4 and discharging atoms rs(i2003_11_14_17_21_22376, all_13_0_4), yields:
% 3.15/1.51 | (29) rinvS(all_13_0_4, i2003_11_14_17_21_22376)
% 3.15/1.51 |
% 3.15/1.51 | Instantiating formula (4) with all_13_0_4, i2003_11_14_17_21_22376 and discharging atoms rs(i2003_11_14_17_21_22376, all_13_0_4), yields:
% 3.15/1.51 | (30) rr(i2003_11_14_17_21_22376, all_13_0_4)
% 3.15/1.51 |
% 3.15/1.51 | Instantiating formula (7) with i2003_11_14_17_21_22376 and discharging atoms cpxcomp(i2003_11_14_17_21_22376), yields:
% 3.15/1.51 | (31) ? [v0] : ra_Px1(i2003_11_14_17_21_22376, v0)
% 3.15/1.51 |
% 3.15/1.51 | Instantiating (31) with all_23_0_6 yields:
% 3.15/1.51 | (32) ra_Px1(i2003_11_14_17_21_22376, all_23_0_6)
% 3.15/1.51 |
% 3.15/1.51 | Instantiating formula (8) with all_13_0_4, all_15_0_5, i2003_11_14_17_21_22376 and discharging atoms rr(i2003_11_14_17_21_22376, all_15_0_5), rr(i2003_11_14_17_21_22376, all_13_0_4), cUnsatisfiable(i2003_11_14_17_21_22376), yields:
% 3.15/1.51 | (33) all_15_0_5 = all_13_0_4
% 3.15/1.51 |
% 3.15/1.51 | From (33) and (28) follows:
% 3.15/1.51 | (34) ca_Vx2(all_13_0_4)
% 3.15/1.51 |
% 3.15/1.51 | Instantiating formula (5) with i2003_11_14_17_21_22376, all_13_0_4 and discharging atoms rinvS(all_13_0_4, i2003_11_14_17_21_22376), ca_Vx2(all_13_0_4), yields:
% 3.15/1.51 | (35) cp(i2003_11_14_17_21_22376)
% 3.15/1.51 |
% 3.15/1.51 | Instantiating formula (9) with all_23_0_6, i2003_11_14_17_21_22376 and discharging atoms ra_Px1(i2003_11_14_17_21_22376, all_23_0_6), cp(i2003_11_14_17_21_22376), yields:
% 3.15/1.51 | (36) $false
% 3.15/1.51 |
% 3.15/1.52 |-The branch is then unsatisfiable
% 3.15/1.52 % SZS output end Proof for theBenchmark
% 3.15/1.52
% 3.15/1.52 833ms
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