TSTP Solution File: NLP004+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NLP004+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n003.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 : Mon Jul 18 01:54:57 EDT 2022
% Result : Theorem 2.59s 1.30s
% Output : Proof 3.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NLP004+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 00:59:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/0.62 ____ _
% 0.42/0.62 ___ / __ \_____(_)___ ________ __________
% 0.42/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.42/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.42/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.42/0.62
% 0.42/0.62 A Theorem Prover for First-Order Logic
% 0.64/0.63 (ePrincess v.1.0)
% 0.64/0.63
% 0.64/0.63 (c) Philipp Rümmer, 2009-2015
% 0.64/0.63 (c) Peter Backeman, 2014-2015
% 0.64/0.63 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.64/0.63 Free software under GNU Lesser General Public License (LGPL).
% 0.64/0.63 Bug reports to peter@backeman.se
% 0.64/0.63
% 0.64/0.63 For more information, visit http://user.uu.se/~petba168/breu/
% 0.64/0.63
% 0.64/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.64/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.64/1.00 Prover 0: Preprocessing ...
% 2.06/1.15 Prover 0: Constructing countermodel ...
% 2.59/1.30 Prover 0: proved (625ms)
% 2.59/1.30
% 2.59/1.30 No countermodel exists, formula is valid
% 2.59/1.30 % SZS status Theorem for theBenchmark
% 2.59/1.30
% 2.59/1.30 Generating proof ... found it (size 10)
% 3.63/1.52
% 3.63/1.52 % SZS output start Proof for theBenchmark
% 3.63/1.53 Assumed formulas after preprocessing and simplification:
% 3.63/1.53 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v9 = v7 & v8 = v6 & ~ (v7 = v6) & young(v7) & young(v6) & man(v7) & man(v6) & fellow(v7) & fellow(v6) & in(v7, v1) & in(v6, v0) & in(v3, v2) & down(v3, v5) & barrel(v3, v4) & old(v4) & dirty(v4) & white(v4) & car(v4) & chevy(v4) & lonely(v5) & way(v5) & street(v5) & event(v3) & city(v2) & hollywood(v2) & front(v1) & front(v0) & furniture(v1) & furniture(v0) & seat(v1) & seat(v0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ young(v17) | ~ young(v16) | ~ man(v17) | ~ man(v16) | ~ fellow(v17) | ~ fellow(v16) | ~ in(v17, v11) | ~ in(v16, v10) | ~ in(v13, v12) | ~ down(v13, v14) | ~ barrel(v13, v15) | ~ old(v15) | ~ dirty(v15) | ~ white(v15) | ~ car(v15) | ~ chevy(v15) | ~ lonely(v14) | ~ way(v14) | ~ street(v14) | ~ event(v13) | ~ city(v12) | ~ hollywood(v12) | ~ front(v11) | ~ front(v10) | ~ furniture(v11) | ~ furniture(v10) | ~ seat(v11) | ~ seat(v10))) | (v9 = v7 & v8 = v6 & ~ (v7 = v6) & young(v7) & young(v6) & man(v7) & man(v6) & fellow(v7) & fellow(v6) & in(v7, v1) & in(v6, v0) & in(v3, v2) & down(v3, v4) & barrel(v3, v5) & old(v5) & dirty(v5) & white(v5) & car(v5) & chevy(v5) & lonely(v4) & way(v4) & street(v4) & event(v3) & city(v2) & hollywood(v2) & front(v1) & front(v0) & furniture(v1) & furniture(v0) & seat(v1) & seat(v0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ young(v17) | ~ young(v16) | ~ man(v17) | ~ man(v16) | ~ fellow(v17) | ~ fellow(v16) | ~ in(v17, v11) | ~ in(v16, v10) | ~ in(v13, v12) | ~ down(v13, v15) | ~ barrel(v13, v14) | ~ old(v14) | ~ dirty(v14) | ~ white(v14) | ~ car(v14) | ~ chevy(v14) | ~ lonely(v15) | ~ way(v15) | ~ street(v15) | ~ event(v13) | ~ city(v12) | ~ hollywood(v12) | ~ front(v11) | ~ front(v10) | ~ furniture(v11) | ~ furniture(v10) | ~ seat(v11) | ~ seat(v10))))
% 3.63/1.54 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 3.63/1.54 | (1) (all_0_0_0 = all_0_2_2 & all_0_1_1 = all_0_3_3 & ~ (all_0_2_2 = all_0_3_3) & young(all_0_2_2) & young(all_0_3_3) & man(all_0_2_2) & man(all_0_3_3) & fellow(all_0_2_2) & fellow(all_0_3_3) & in(all_0_2_2, all_0_8_8) & in(all_0_3_3, all_0_9_9) & in(all_0_6_6, all_0_7_7) & down(all_0_6_6, all_0_4_4) & barrel(all_0_6_6, all_0_5_5) & old(all_0_5_5) & dirty(all_0_5_5) & white(all_0_5_5) & car(all_0_5_5) & chevy(all_0_5_5) & lonely(all_0_4_4) & way(all_0_4_4) & street(all_0_4_4) & event(all_0_6_6) & city(all_0_7_7) & hollywood(all_0_7_7) & front(all_0_8_8) & front(all_0_9_9) & furniture(all_0_8_8) & furniture(all_0_9_9) & seat(all_0_8_8) & seat(all_0_9_9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v6 | ~ young(v7) | ~ young(v6) | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v4) | ~ barrel(v3, v5) | ~ old(v5) | ~ dirty(v5) | ~ white(v5) | ~ car(v5) | ~ chevy(v5) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ front(v1) | ~ front(v0) | ~ furniture(v1) | ~ furniture(v0) | ~ seat(v1) | ~ seat(v0))) | (all_0_0_0 = all_0_2_2 & all_0_1_1 = all_0_3_3 & ~ (all_0_2_2 = all_0_3_3) & young(all_0_2_2) & young(all_0_3_3) & man(all_0_2_2) & man(all_0_3_3) & fellow(all_0_2_2) & fellow(all_0_3_3) & in(all_0_2_2, all_0_8_8) & in(all_0_3_3, all_0_9_9) & in(all_0_6_6, all_0_7_7) & down(all_0_6_6, all_0_5_5) & barrel(all_0_6_6, all_0_4_4) & old(all_0_4_4) & dirty(all_0_4_4) & white(all_0_4_4) & car(all_0_4_4) & chevy(all_0_4_4) & lonely(all_0_5_5) & way(all_0_5_5) & street(all_0_5_5) & event(all_0_6_6) & city(all_0_7_7) & hollywood(all_0_7_7) & front(all_0_8_8) & front(all_0_9_9) & furniture(all_0_8_8) & furniture(all_0_9_9) & seat(all_0_8_8) & seat(all_0_9_9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v6 | ~ young(v7) | ~ young(v6) | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v5) | ~ barrel(v3, v4) | ~ old(v4) | ~ dirty(v4) | ~ white(v4) | ~ car(v4) | ~ chevy(v4) | ~ lonely(v5) | ~ way(v5) | ~ street(v5) | ~ event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ front(v1) | ~ front(v0) | ~ furniture(v1) | ~ furniture(v0) | ~ seat(v1) | ~ seat(v0)))
% 3.63/1.55 |
% 3.63/1.55 +-Applying beta-rule and splitting (1), into two cases.
% 3.63/1.55 |-Branch one:
% 3.63/1.55 | (2) all_0_0_0 = all_0_2_2 & all_0_1_1 = all_0_3_3 & ~ (all_0_2_2 = all_0_3_3) & young(all_0_2_2) & young(all_0_3_3) & man(all_0_2_2) & man(all_0_3_3) & fellow(all_0_2_2) & fellow(all_0_3_3) & in(all_0_2_2, all_0_8_8) & in(all_0_3_3, all_0_9_9) & in(all_0_6_6, all_0_7_7) & down(all_0_6_6, all_0_4_4) & barrel(all_0_6_6, all_0_5_5) & old(all_0_5_5) & dirty(all_0_5_5) & white(all_0_5_5) & car(all_0_5_5) & chevy(all_0_5_5) & lonely(all_0_4_4) & way(all_0_4_4) & street(all_0_4_4) & event(all_0_6_6) & city(all_0_7_7) & hollywood(all_0_7_7) & front(all_0_8_8) & front(all_0_9_9) & furniture(all_0_8_8) & furniture(all_0_9_9) & seat(all_0_8_8) & seat(all_0_9_9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v6 | ~ young(v7) | ~ young(v6) | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v4) | ~ barrel(v3, v5) | ~ old(v5) | ~ dirty(v5) | ~ white(v5) | ~ car(v5) | ~ chevy(v5) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ front(v1) | ~ front(v0) | ~ furniture(v1) | ~ furniture(v0) | ~ seat(v1) | ~ seat(v0))
% 3.63/1.55 |
% 3.63/1.55 | Applying alpha-rule on (2) yields:
% 3.63/1.55 | (3) street(all_0_4_4)
% 3.63/1.55 | (4) young(all_0_3_3)
% 3.63/1.55 | (5) hollywood(all_0_7_7)
% 3.63/1.55 | (6) down(all_0_6_6, all_0_4_4)
% 3.63/1.55 | (7) in(all_0_2_2, all_0_8_8)
% 3.63/1.55 | (8) fellow(all_0_3_3)
% 3.63/1.55 | (9) in(all_0_6_6, all_0_7_7)
% 3.63/1.55 | (10) way(all_0_4_4)
% 3.63/1.55 | (11) barrel(all_0_6_6, all_0_5_5)
% 3.63/1.55 | (12) chevy(all_0_5_5)
% 3.63/1.55 | (13) all_0_0_0 = all_0_2_2
% 3.63/1.55 | (14) man(all_0_3_3)
% 3.63/1.55 | (15) city(all_0_7_7)
% 3.63/1.55 | (16) all_0_1_1 = all_0_3_3
% 3.63/1.55 | (17) furniture(all_0_9_9)
% 3.63/1.55 | (18) event(all_0_6_6)
% 3.63/1.56 | (19) car(all_0_5_5)
% 3.63/1.56 | (20) furniture(all_0_8_8)
% 3.63/1.56 | (21) fellow(all_0_2_2)
% 3.63/1.56 | (22) front(all_0_8_8)
% 3.63/1.56 | (23) seat(all_0_9_9)
% 3.63/1.56 | (24) ~ (all_0_2_2 = all_0_3_3)
% 3.63/1.56 | (25) old(all_0_5_5)
% 3.63/1.56 | (26) dirty(all_0_5_5)
% 3.63/1.56 | (27) young(all_0_2_2)
% 3.63/1.56 | (28) lonely(all_0_4_4)
% 3.63/1.56 | (29) seat(all_0_8_8)
% 3.63/1.56 | (30) front(all_0_9_9)
% 3.63/1.56 | (31) in(all_0_3_3, all_0_9_9)
% 3.63/1.56 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v6 | ~ young(v7) | ~ young(v6) | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v4) | ~ barrel(v3, v5) | ~ old(v5) | ~ dirty(v5) | ~ white(v5) | ~ car(v5) | ~ chevy(v5) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ front(v1) | ~ front(v0) | ~ furniture(v1) | ~ furniture(v0) | ~ seat(v1) | ~ seat(v0))
% 3.63/1.56 | (33) white(all_0_5_5)
% 3.63/1.56 | (34) man(all_0_2_2)
% 3.63/1.56 |
% 3.63/1.56 | Instantiating formula (32) with all_0_2_2, all_0_3_3, all_0_5_5, all_0_4_4, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 and discharging atoms young(all_0_2_2), young(all_0_3_3), man(all_0_2_2), man(all_0_3_3), fellow(all_0_2_2), fellow(all_0_3_3), in(all_0_2_2, all_0_8_8), in(all_0_3_3, all_0_9_9), in(all_0_6_6, all_0_7_7), down(all_0_6_6, all_0_4_4), barrel(all_0_6_6, all_0_5_5), old(all_0_5_5), dirty(all_0_5_5), white(all_0_5_5), car(all_0_5_5), chevy(all_0_5_5), lonely(all_0_4_4), way(all_0_4_4), street(all_0_4_4), event(all_0_6_6), city(all_0_7_7), hollywood(all_0_7_7), front(all_0_8_8), front(all_0_9_9), furniture(all_0_8_8), furniture(all_0_9_9), seat(all_0_8_8), seat(all_0_9_9), yields:
% 3.63/1.56 | (35) all_0_2_2 = all_0_3_3
% 3.63/1.56 |
% 3.63/1.56 | Equations (35) can reduce 24 to:
% 3.63/1.56 | (36) $false
% 3.63/1.56 |
% 3.63/1.56 |-The branch is then unsatisfiable
% 3.63/1.56 |-Branch two:
% 3.63/1.56 | (37) all_0_0_0 = all_0_2_2 & all_0_1_1 = all_0_3_3 & ~ (all_0_2_2 = all_0_3_3) & young(all_0_2_2) & young(all_0_3_3) & man(all_0_2_2) & man(all_0_3_3) & fellow(all_0_2_2) & fellow(all_0_3_3) & in(all_0_2_2, all_0_8_8) & in(all_0_3_3, all_0_9_9) & in(all_0_6_6, all_0_7_7) & down(all_0_6_6, all_0_5_5) & barrel(all_0_6_6, all_0_4_4) & old(all_0_4_4) & dirty(all_0_4_4) & white(all_0_4_4) & car(all_0_4_4) & chevy(all_0_4_4) & lonely(all_0_5_5) & way(all_0_5_5) & street(all_0_5_5) & event(all_0_6_6) & city(all_0_7_7) & hollywood(all_0_7_7) & front(all_0_8_8) & front(all_0_9_9) & furniture(all_0_8_8) & furniture(all_0_9_9) & seat(all_0_8_8) & seat(all_0_9_9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v6 | ~ young(v7) | ~ young(v6) | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v5) | ~ barrel(v3, v4) | ~ old(v4) | ~ dirty(v4) | ~ white(v4) | ~ car(v4) | ~ chevy(v4) | ~ lonely(v5) | ~ way(v5) | ~ street(v5) | ~ event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ front(v1) | ~ front(v0) | ~ furniture(v1) | ~ furniture(v0) | ~ seat(v1) | ~ seat(v0))
% 3.63/1.57 |
% 3.63/1.57 | Applying alpha-rule on (37) yields:
% 3.63/1.57 | (38) way(all_0_5_5)
% 3.63/1.57 | (39) street(all_0_5_5)
% 3.63/1.57 | (4) young(all_0_3_3)
% 3.63/1.57 | (5) hollywood(all_0_7_7)
% 3.63/1.57 | (7) in(all_0_2_2, all_0_8_8)
% 3.63/1.57 | (8) fellow(all_0_3_3)
% 3.63/1.57 | (9) in(all_0_6_6, all_0_7_7)
% 3.63/1.57 | (45) barrel(all_0_6_6, all_0_4_4)
% 3.63/1.57 | (46) dirty(all_0_4_4)
% 3.63/1.57 | (13) all_0_0_0 = all_0_2_2
% 3.63/1.57 | (14) man(all_0_3_3)
% 3.63/1.57 | (15) city(all_0_7_7)
% 3.63/1.57 | (16) all_0_1_1 = all_0_3_3
% 3.63/1.57 | (17) furniture(all_0_9_9)
% 3.63/1.57 | (52) old(all_0_4_4)
% 3.63/1.57 | (18) event(all_0_6_6)
% 3.63/1.57 | (20) furniture(all_0_8_8)
% 3.63/1.57 | (21) fellow(all_0_2_2)
% 3.63/1.57 | (22) front(all_0_8_8)
% 3.63/1.57 | (23) seat(all_0_9_9)
% 3.63/1.57 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v6 | ~ young(v7) | ~ young(v6) | ~ man(v7) | ~ man(v6) | ~ fellow(v7) | ~ fellow(v6) | ~ in(v7, v1) | ~ in(v6, v0) | ~ in(v3, v2) | ~ down(v3, v5) | ~ barrel(v3, v4) | ~ old(v4) | ~ dirty(v4) | ~ white(v4) | ~ car(v4) | ~ chevy(v4) | ~ lonely(v5) | ~ way(v5) | ~ street(v5) | ~ event(v3) | ~ city(v2) | ~ hollywood(v2) | ~ front(v1) | ~ front(v0) | ~ furniture(v1) | ~ furniture(v0) | ~ seat(v1) | ~ seat(v0))
% 3.63/1.57 | (24) ~ (all_0_2_2 = all_0_3_3)
% 3.63/1.57 | (27) young(all_0_2_2)
% 3.63/1.57 | (61) chevy(all_0_4_4)
% 3.63/1.57 | (62) white(all_0_4_4)
% 3.63/1.57 | (29) seat(all_0_8_8)
% 3.63/1.57 | (64) down(all_0_6_6, all_0_5_5)
% 3.63/1.57 | (30) front(all_0_9_9)
% 3.63/1.57 | (31) in(all_0_3_3, all_0_9_9)
% 3.63/1.57 | (67) car(all_0_4_4)
% 3.63/1.57 | (34) man(all_0_2_2)
% 3.63/1.57 | (69) lonely(all_0_5_5)
% 3.63/1.57 |
% 3.63/1.57 | Instantiating formula (58) with all_0_2_2, all_0_3_3, all_0_5_5, all_0_4_4, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 and discharging atoms young(all_0_2_2), young(all_0_3_3), man(all_0_2_2), man(all_0_3_3), fellow(all_0_2_2), fellow(all_0_3_3), in(all_0_2_2, all_0_8_8), in(all_0_3_3, all_0_9_9), in(all_0_6_6, all_0_7_7), down(all_0_6_6, all_0_5_5), barrel(all_0_6_6, all_0_4_4), old(all_0_4_4), dirty(all_0_4_4), white(all_0_4_4), car(all_0_4_4), chevy(all_0_4_4), lonely(all_0_5_5), way(all_0_5_5), street(all_0_5_5), event(all_0_6_6), city(all_0_7_7), hollywood(all_0_7_7), front(all_0_8_8), front(all_0_9_9), furniture(all_0_8_8), furniture(all_0_9_9), seat(all_0_8_8), seat(all_0_9_9), yields:
% 3.85/1.58 | (35) all_0_2_2 = all_0_3_3
% 3.85/1.58 |
% 3.85/1.58 | Equations (35) can reduce 24 to:
% 3.85/1.58 | (36) $false
% 3.85/1.58 |
% 3.85/1.58 |-The branch is then unsatisfiable
% 3.85/1.58 % SZS output end Proof for theBenchmark
% 3.85/1.58
% 3.85/1.58 941ms
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