TSTP Solution File: LCL638+1.001 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 09:37:27 EDT 2022
% Result : Theorem 1.85s 1.11s
% Output : Proof 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n008.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 : Sun Jul 3 09:47:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.58 ____ _
% 0.19/0.58 ___ / __ \_____(_)___ ________ __________
% 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic
% 0.19/0.58 (ePrincess v.1.0)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2015
% 0.19/0.58 (c) Peter Backeman, 2014-2015
% 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58 Bug reports to peter@backeman.se
% 0.19/0.58
% 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58
% 0.19/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.67/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.47/0.90 Prover 0: Preprocessing ...
% 1.71/1.00 Prover 0: Constructing countermodel ...
% 1.85/1.11 Prover 0: proved (479ms)
% 1.85/1.11
% 1.85/1.11 No countermodel exists, formula is valid
% 1.85/1.11 % SZS status Theorem for theBenchmark
% 1.85/1.11
% 1.85/1.11 Generating proof ... found it (size 12)
% 2.54/1.28
% 2.54/1.28 % SZS output start Proof for theBenchmark
% 2.54/1.28 Assumed formulas after preprocessing and simplification:
% 2.54/1.28 | (0) ? [v0] : ? [v1] : (r1(v0, v1) & ~ p1(v1) & ! [v2] : ! [v3] : ! [v4] : ( ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v0, v2) | p1(v4) | ? [v5] : (r1(v2, v5) & ~ p1(v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v0, v2) | ? [v5] : ((p1(v5) & r1(v4, v5)) | (r1(v2, v5) & ! [v6] : ( ~ p1(v6) | ~ r1(v5, v6))))) & ! [v2] : ! [v3] : ( ~ p1(v2) | ~ r1(v2, v3) | ~ r1(v0, v2) | ? [v4] : (p1(v4) & r1(v3, v4))) & ! [v2] : ! [v3] : ( ~ r1(v2, v3) | ~ r1(v0, v2) | p1(v2) | ? [v4] : (r1(v3, v4) & ~ p1(v4))) & ! [v2] : ( ~ r1(v1, v2) | p1(v2)) & ! [v2] : ( ~ r1(v0, v2) | ? [v3] : r1(v2, v3)))
% 2.54/1.29 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 2.54/1.29 | (1) r1(all_0_1_1, all_0_0_0) & ~ p1(all_0_0_0) & ! [v0] : ! [v1] : ! [v2] : ( ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_0_1_1, v0) | p1(v2) | ? [v3] : (r1(v0, v3) & ~ p1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_0_1_1, v0) | ? [v3] : ((p1(v3) & r1(v2, v3)) | (r1(v0, v3) & ! [v4] : ( ~ p1(v4) | ~ r1(v3, v4))))) & ! [v0] : ! [v1] : ( ~ p1(v0) | ~ r1(v0, v1) | ~ r1(all_0_1_1, v0) | ? [v2] : (p1(v2) & r1(v1, v2))) & ! [v0] : ! [v1] : ( ~ r1(v0, v1) | ~ r1(all_0_1_1, v0) | p1(v0) | ? [v2] : (r1(v1, v2) & ~ p1(v2))) & ! [v0] : ( ~ r1(all_0_0_0, v0) | p1(v0)) & ! [v0] : ( ~ r1(all_0_1_1, v0) | ? [v1] : r1(v0, v1))
% 2.54/1.29 |
% 2.54/1.29 | Applying alpha-rule on (1) yields:
% 2.54/1.29 | (2) ! [v0] : ( ~ r1(all_0_1_1, v0) | ? [v1] : r1(v0, v1))
% 2.54/1.29 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_0_1_1, v0) | p1(v2) | ? [v3] : (r1(v0, v3) & ~ p1(v3)))
% 2.54/1.30 | (4) r1(all_0_1_1, all_0_0_0)
% 2.54/1.30 | (5) ! [v0] : ! [v1] : ( ~ p1(v0) | ~ r1(v0, v1) | ~ r1(all_0_1_1, v0) | ? [v2] : (p1(v2) & r1(v1, v2)))
% 2.54/1.30 | (6) ! [v0] : ( ~ r1(all_0_0_0, v0) | p1(v0))
% 2.54/1.30 | (7) ! [v0] : ! [v1] : ( ~ r1(v0, v1) | ~ r1(all_0_1_1, v0) | p1(v0) | ? [v2] : (r1(v1, v2) & ~ p1(v2)))
% 2.54/1.30 | (8) ~ p1(all_0_0_0)
% 2.54/1.30 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_0_1_1, v0) | ? [v3] : ((p1(v3) & r1(v2, v3)) | (r1(v0, v3) & ! [v4] : ( ~ p1(v4) | ~ r1(v3, v4)))))
% 2.54/1.30 |
% 2.54/1.30 | Instantiating formula (2) with all_0_0_0 and discharging atoms r1(all_0_1_1, all_0_0_0), yields:
% 2.54/1.30 | (10) ? [v0] : r1(all_0_0_0, v0)
% 2.54/1.30 |
% 2.54/1.30 | Instantiating (10) with all_8_0_2 yields:
% 2.54/1.30 | (11) r1(all_0_0_0, all_8_0_2)
% 2.54/1.30 |
% 2.54/1.30 | Instantiating formula (7) with all_8_0_2, all_0_0_0 and discharging atoms r1(all_0_0_0, all_8_0_2), r1(all_0_1_1, all_0_0_0), ~ p1(all_0_0_0), yields:
% 2.54/1.30 | (12) ? [v0] : (r1(all_8_0_2, v0) & ~ p1(v0))
% 2.54/1.30 |
% 2.54/1.30 | Instantiating (12) with all_16_0_3 yields:
% 2.54/1.30 | (13) r1(all_8_0_2, all_16_0_3) & ~ p1(all_16_0_3)
% 2.54/1.30 |
% 2.54/1.30 | Applying alpha-rule on (13) yields:
% 2.54/1.30 | (14) r1(all_8_0_2, all_16_0_3)
% 2.54/1.30 | (15) ~ p1(all_16_0_3)
% 2.54/1.30 |
% 2.54/1.30 | Instantiating formula (3) with all_16_0_3, all_8_0_2, all_0_0_0 and discharging atoms r1(all_8_0_2, all_16_0_3), r1(all_0_0_0, all_8_0_2), r1(all_0_1_1, all_0_0_0), ~ p1(all_16_0_3), yields:
% 2.54/1.30 | (16) ? [v0] : (r1(all_0_0_0, v0) & ~ p1(v0))
% 2.54/1.30 |
% 2.54/1.30 | Instantiating (16) with all_24_0_5 yields:
% 2.54/1.30 | (17) r1(all_0_0_0, all_24_0_5) & ~ p1(all_24_0_5)
% 2.54/1.30 |
% 2.54/1.30 | Applying alpha-rule on (17) yields:
% 2.54/1.30 | (18) r1(all_0_0_0, all_24_0_5)
% 2.54/1.30 | (19) ~ p1(all_24_0_5)
% 2.54/1.30 |
% 2.54/1.30 | Instantiating formula (6) with all_24_0_5 and discharging atoms r1(all_0_0_0, all_24_0_5), ~ p1(all_24_0_5), yields:
% 2.54/1.30 | (20) $false
% 2.54/1.30 |
% 2.54/1.30 |-The branch is then unsatisfiable
% 2.54/1.30 % SZS output end Proof for theBenchmark
% 2.54/1.31
% 2.54/1.31 715ms
%------------------------------------------------------------------------------