TSTP Solution File: KRS070+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS070+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 2.30s 1.33s
% Output : Proof 3.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : KRS070+1 : TPTP v8.1.0. Released v3.1.0.
% 0.14/0.15 % Command : ePrincess-casc -timeout=%d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jun 7 10:37:20 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.53/0.63 ____ _
% 0.53/0.63 ___ / __ \_____(_)___ ________ __________
% 0.53/0.63 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.63 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.63 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.63
% 0.53/0.63 A Theorem Prover for First-Order Logic
% 0.53/0.63 (ePrincess v.1.0)
% 0.53/0.63
% 0.53/0.63 (c) Philipp Rümmer, 2009-2015
% 0.53/0.63 (c) Peter Backeman, 2014-2015
% 0.53/0.63 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.63 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.63 Bug reports to peter@backeman.se
% 0.53/0.63
% 0.53/0.63 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.63
% 0.53/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.73/1.03 Prover 0: Preprocessing ...
% 2.23/1.21 Prover 0: Warning: ignoring some quantifiers
% 2.23/1.23 Prover 0: Constructing countermodel ...
% 2.30/1.32 Prover 0: proved (640ms)
% 2.30/1.33
% 2.30/1.33 No countermodel exists, formula is valid
% 2.30/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.30/1.33
% 2.30/1.33 Generating proof ... Warning: ignoring some quantifiers
% 3.57/1.55 found it (size 13)
% 3.57/1.55
% 3.57/1.55 % SZS output start Proof for theBenchmark
% 3.57/1.55 Assumed formulas after preprocessing and simplification:
% 3.57/1.55 | (0) cUnsatisfiable(i2003_11_14_17_18_32242) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4a(v0, v2) | ~ rrx4a(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4(v0, v2) | ~ rrx4(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3a(v0, v2) | ~ rrx3a(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3(v0, v2) | ~ rrx3(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx(v0, v2) | ~ rrx(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rrx4(v0, v2) | ~ rrx3(v0, v1) | ~ cc2(v2) | ~ cc1(v1) | cUnsatisfiable(v0) | ? [v3] : (rrx3(v0, v3) & cc2(v3) & cc1(v3))) & ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrxa(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrx2a(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx2(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrxa(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrx1a(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | ~ cc2(v1) | ~ cc1(v1) | ~ cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx1(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx(v0, v1)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx4(v0, v1) & cc2(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx3(v0, v1) & cc1(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0)
% 3.57/1.57 | Applying alpha-rule on (0) yields:
% 3.57/1.57 | (1) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 3.57/1.57 | (2) ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx1(v0, v1))
% 3.57/1.57 | (3) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx3(v0, v1) & cc1(v1)))
% 3.57/1.57 | (4) ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrxa(v0, v1))
% 3.57/1.57 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3a(v0, v2) | ~ rrx3a(v0, v1))
% 3.57/1.57 | (6) ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrxa(v0, v1))
% 3.57/1.57 | (7) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx(v0, v2) | ~ rrx(v0, v1))
% 3.57/1.57 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ rrx4(v0, v2) | ~ rrx3(v0, v1) | ~ cc2(v2) | ~ cc1(v1) | cUnsatisfiable(v0) | ? [v3] : (rrx3(v0, v3) & cc2(v3) & cc1(v3)))
% 3.57/1.57 | (9) cUnsatisfiable(i2003_11_14_17_18_32242)
% 3.57/1.57 | (10) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx4(v0, v1) & cc2(v1)))
% 3.57/1.57 | (11) ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx2(v0, v1))
% 3.57/1.57 | (12) ! [v0] : ~ cowlNothing(v0)
% 3.57/1.57 | (13) ? [v0] : cowlThing(v0)
% 3.57/1.57 | (14) ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrx1a(v0, v1))
% 3.57/1.57 | (15) ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx(v0, v1))
% 3.57/1.57 | (16) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 3.57/1.57 | (17) ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx(v0, v1))
% 3.57/1.57 | (18) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3(v0, v2) | ~ rrx3(v0, v1))
% 3.57/1.57 | (19) ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrx2a(v0, v1))
% 3.57/1.58 | (20) ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | ~ cc2(v1) | ~ cc1(v1) | ~ cUnsatisfiable(v0))
% 3.57/1.58 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4(v0, v2) | ~ rrx4(v0, v1))
% 3.57/1.58 | (22) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4a(v0, v2) | ~ rrx4a(v0, v1))
% 3.57/1.58 |
% 3.57/1.58 | Instantiating formula (10) with i2003_11_14_17_18_32242 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_32242), yields:
% 3.57/1.58 | (23) ? [v0] : (rrx4(i2003_11_14_17_18_32242, v0) & cc2(v0))
% 3.57/1.58 |
% 3.57/1.58 | Instantiating formula (3) with i2003_11_14_17_18_32242 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_32242), yields:
% 3.57/1.58 | (24) ? [v0] : (rrx3(i2003_11_14_17_18_32242, v0) & cc1(v0))
% 3.57/1.58 |
% 3.57/1.58 | Instantiating (24) with all_10_0_2 yields:
% 3.57/1.58 | (25) rrx3(i2003_11_14_17_18_32242, all_10_0_2) & cc1(all_10_0_2)
% 3.57/1.58 |
% 3.57/1.58 | Applying alpha-rule on (25) yields:
% 3.57/1.58 | (26) rrx3(i2003_11_14_17_18_32242, all_10_0_2)
% 3.57/1.58 | (27) cc1(all_10_0_2)
% 3.57/1.58 |
% 3.57/1.58 | Instantiating (23) with all_12_0_3 yields:
% 3.57/1.58 | (28) rrx4(i2003_11_14_17_18_32242, all_12_0_3) & cc2(all_12_0_3)
% 3.57/1.58 |
% 3.57/1.58 | Applying alpha-rule on (28) yields:
% 3.57/1.58 | (29) rrx4(i2003_11_14_17_18_32242, all_12_0_3)
% 3.57/1.58 | (30) cc2(all_12_0_3)
% 3.57/1.58 |
% 3.57/1.58 | Instantiating formula (15) with all_12_0_3, i2003_11_14_17_18_32242 and discharging atoms rrx4(i2003_11_14_17_18_32242, all_12_0_3), yields:
% 3.57/1.58 | (31) rrx(i2003_11_14_17_18_32242, all_12_0_3)
% 3.57/1.58 |
% 3.57/1.58 | Instantiating formula (17) with all_10_0_2, i2003_11_14_17_18_32242 and discharging atoms rrx3(i2003_11_14_17_18_32242, all_10_0_2), yields:
% 3.57/1.58 | (32) rrx(i2003_11_14_17_18_32242, all_10_0_2)
% 3.57/1.58 |
% 3.57/1.58 | Instantiating formula (7) with all_10_0_2, all_12_0_3, i2003_11_14_17_18_32242 and discharging atoms rrx(i2003_11_14_17_18_32242, all_12_0_3), rrx(i2003_11_14_17_18_32242, all_10_0_2), yields:
% 3.57/1.58 | (33) all_12_0_3 = all_10_0_2
% 3.57/1.58 |
% 3.57/1.58 | From (33) and (30) follows:
% 3.57/1.58 | (34) cc2(all_10_0_2)
% 3.57/1.58 |
% 3.57/1.58 | Instantiating formula (20) with all_10_0_2, i2003_11_14_17_18_32242 and discharging atoms rrx3(i2003_11_14_17_18_32242, all_10_0_2), cc2(all_10_0_2), cc1(all_10_0_2), cUnsatisfiable(i2003_11_14_17_18_32242), yields:
% 3.57/1.58 | (35) $false
% 3.57/1.58 |
% 3.57/1.58 |-The branch is then unsatisfiable
% 3.57/1.58 % SZS output end Proof for theBenchmark
% 3.57/1.58
% 3.57/1.58 939ms
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