TSTP Solution File: KRS121+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS121+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 02:56:37 EDT 2022
% Result : Unsatisfiable 2.59s 1.28s
% Output : Proof 3.53s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS121+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 07:13:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.46/0.62 ____ _
% 0.46/0.62 ___ / __ \_____(_)___ ________ __________
% 0.46/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.46/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.46/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.46/0.62
% 0.46/0.62 A Theorem Prover for First-Order Logic
% 0.46/0.62 (ePrincess v.1.0)
% 0.46/0.62
% 0.46/0.62 (c) Philipp Rümmer, 2009-2015
% 0.67/0.62 (c) Peter Backeman, 2014-2015
% 0.67/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.67/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.67/0.62 Bug reports to peter@backeman.se
% 0.67/0.62
% 0.67/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.67/0.62
% 0.67/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.67/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.62/0.98 Prover 0: Preprocessing ...
% 2.10/1.14 Prover 0: Warning: ignoring some quantifiers
% 2.18/1.16 Prover 0: Constructing countermodel ...
% 2.37/1.27 Prover 0: proved (602ms)
% 2.59/1.28
% 2.59/1.28 No countermodel exists, formula is valid
% 2.59/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.59/1.28
% 2.59/1.28 Generating proof ... Warning: ignoring some quantifiers
% 3.26/1.50 found it (size 15)
% 3.26/1.50
% 3.26/1.50 % SZS output start Proof for theBenchmark
% 3.26/1.50 Assumed formulas after preprocessing and simplification:
% 3.26/1.50 | (0) cUnsatisfiable(i2003_11_14_17_21_5199) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cp1(v0) | ~ ca_Vx3(v1) | cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ ca_Ax2(v1) | ca_Vx3(v0)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ ca_Ax2(v0) | cp1xcomp(v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp1(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cp1xcomp(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cp1xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ cp1(v0) | ca_Ax2(v0) | ? [v1] : (rinvR(v0, v1) & ~ cp1xcomp(v1))) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rr(v0, v1) & ca_Ax2(v1))) & ! [v0] : ( ~ ca_Ax2(v0) | cp1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | cp1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Vx3(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0)
% 3.26/1.51 | Applying alpha-rule on (0) yields:
% 3.26/1.51 | (1) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 3.26/1.51 | (2) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1))
% 3.26/1.51 | (3) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0))
% 3.26/1.51 | (4) ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rr(v0, v1) & ca_Ax2(v1)))
% 3.26/1.51 | (5) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cp1xcomp(v0))
% 3.26/1.52 | (6) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cp1(v0) | ~ ca_Vx3(v1) | cUnsatisfiable(v0))
% 3.26/1.52 | (7) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0))
% 3.26/1.52 | (8) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1))
% 3.26/1.52 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2))
% 3.26/1.52 | (10) ! [v0] : ( ~ cp1(v0) | ca_Ax2(v0) | ? [v1] : (rinvR(v0, v1) & ~ cp1xcomp(v1)))
% 3.26/1.52 | (11) ? [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1))
% 3.26/1.52 | (12) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp1(v0))
% 3.26/1.52 | (13) ! [v0] : ~ cowlNothing(v0)
% 3.26/1.52 | (14) ? [v0] : cowlThing(v0)
% 3.26/1.52 | (15) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 3.26/1.52 | (16) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1))
% 3.26/1.52 | (17) ! [v0] : ( ~ ca_Ax2(v0) | cp1(v0))
% 3.26/1.52 | (18) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ ca_Ax2(v1) | ca_Vx3(v0))
% 3.26/1.52 | (19) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ ca_Ax2(v0) | cp1xcomp(v1))
% 3.26/1.52 | (20) ! [v0] : ( ~ cp1xcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 3.26/1.52 | (21) cUnsatisfiable(i2003_11_14_17_21_5199)
% 3.26/1.52 | (22) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Vx3(v1)))
% 3.53/1.52 | (23) ! [v0] : ( ~ cUnsatisfiable(v0) | cp1(v0))
% 3.53/1.52 |
% 3.53/1.52 | Instantiating formula (23) with i2003_11_14_17_21_5199 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_5199), yields:
% 3.53/1.52 | (24) cp1(i2003_11_14_17_21_5199)
% 3.53/1.52 |
% 3.53/1.52 | Instantiating formula (22) with i2003_11_14_17_21_5199 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_5199), yields:
% 3.53/1.52 | (25) ? [v0] : (rr(i2003_11_14_17_21_5199, v0) & ca_Vx3(v0))
% 3.53/1.52 |
% 3.53/1.52 | Instantiating (25) with all_12_0_3 yields:
% 3.53/1.52 | (26) rr(i2003_11_14_17_21_5199, all_12_0_3) & ca_Vx3(all_12_0_3)
% 3.53/1.52 |
% 3.53/1.52 | Applying alpha-rule on (26) yields:
% 3.53/1.52 | (27) rr(i2003_11_14_17_21_5199, all_12_0_3)
% 3.53/1.53 | (28) ca_Vx3(all_12_0_3)
% 3.53/1.53 |
% 3.53/1.53 | Instantiating formula (4) with all_12_0_3 and discharging atoms ca_Vx3(all_12_0_3), yields:
% 3.53/1.53 | (29) ? [v0] : (rr(all_12_0_3, v0) & ca_Ax2(v0))
% 3.53/1.53 |
% 3.53/1.53 | Instantiating (29) with all_20_0_4 yields:
% 3.53/1.53 | (30) rr(all_12_0_3, all_20_0_4) & ca_Ax2(all_20_0_4)
% 3.53/1.53 |
% 3.53/1.53 | Applying alpha-rule on (30) yields:
% 3.53/1.53 | (31) rr(all_12_0_3, all_20_0_4)
% 3.53/1.53 | (32) ca_Ax2(all_20_0_4)
% 3.53/1.53 |
% 3.53/1.53 | Instantiating formula (9) with all_20_0_4, all_12_0_3, i2003_11_14_17_21_5199 and discharging atoms rr(all_12_0_3, all_20_0_4), rr(i2003_11_14_17_21_5199, all_12_0_3), yields:
% 3.53/1.53 | (33) rr(i2003_11_14_17_21_5199, all_20_0_4)
% 3.53/1.53 |
% 3.53/1.53 | Instantiating formula (8) with i2003_11_14_17_21_5199, all_20_0_4 and discharging atoms rr(i2003_11_14_17_21_5199, all_20_0_4), yields:
% 3.53/1.53 | (34) rinvR(all_20_0_4, i2003_11_14_17_21_5199)
% 3.53/1.53 |
% 3.53/1.53 | Instantiating formula (19) with i2003_11_14_17_21_5199, all_20_0_4 and discharging atoms rinvR(all_20_0_4, i2003_11_14_17_21_5199), ca_Ax2(all_20_0_4), yields:
% 3.53/1.53 | (35) cp1xcomp(i2003_11_14_17_21_5199)
% 3.53/1.53 |
% 3.53/1.53 | Instantiating formula (20) with i2003_11_14_17_21_5199 and discharging atoms cp1xcomp(i2003_11_14_17_21_5199), yields:
% 3.53/1.53 | (36) ? [v0] : ra_Px1(i2003_11_14_17_21_5199, v0)
% 3.53/1.53 |
% 3.53/1.53 | Instantiating (36) with all_50_0_7 yields:
% 3.53/1.53 | (37) ra_Px1(i2003_11_14_17_21_5199, all_50_0_7)
% 3.53/1.53 |
% 3.53/1.53 | Instantiating formula (12) with all_50_0_7, i2003_11_14_17_21_5199 and discharging atoms ra_Px1(i2003_11_14_17_21_5199, all_50_0_7), cp1(i2003_11_14_17_21_5199), yields:
% 3.53/1.53 | (38) $false
% 3.53/1.53 |
% 3.53/1.53 |-The branch is then unsatisfiable
% 3.53/1.53 % SZS output end Proof for theBenchmark
% 3.53/1.53
% 3.53/1.53 897ms
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