TSTP Solution File: NLP007+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NLP007+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.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 01:54:59 EDT 2022
% Result : Theorem 2.55s 1.23s
% Output : Proof 3.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NLP007+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 30 21:53:49 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.53 ____ _
% 0.18/0.53 ___ / __ \_____(_)___ ________ __________
% 0.18/0.53 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.53 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.53 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.53
% 0.18/0.53 A Theorem Prover for First-Order Logic
% 0.18/0.54 (ePrincess v.1.0)
% 0.18/0.54
% 0.18/0.54 (c) Philipp Rümmer, 2009-2015
% 0.18/0.54 (c) Peter Backeman, 2014-2015
% 0.18/0.54 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.54 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.54 Bug reports to peter@backeman.se
% 0.18/0.54
% 0.18/0.54 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.54
% 0.18/0.54 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.62/0.59 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.55/0.92 Prover 0: Preprocessing ...
% 1.83/1.07 Prover 0: Constructing countermodel ...
% 2.55/1.23 Prover 0: proved (637ms)
% 2.55/1.23
% 2.55/1.23 No countermodel exists, formula is valid
% 2.55/1.23 % SZS status Theorem for theBenchmark
% 2.55/1.23
% 2.55/1.23 Generating proof ... found it (size 10)
% 3.25/1.46
% 3.25/1.46 % SZS output start Proof for theBenchmark
% 3.25/1.46 Assumed formulas after preprocessing and simplification:
% 3.25/1.46 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v9 = v6 & v8 = v5 & ~ (v6 = v5) & young(v6) & young(v5) & man(v6) & man(v5) & fellow(v6) & fellow(v5) & in(v6, v7) & in(v5, v0) & in(v2, v1) & down(v2, v4) & barrel(v2, v3) & lonely(v4) & way(v4) & street(v4) & old(v3) & dirty(v3) & white(v3) & car(v3) & chevy(v3) & event(v2) & city(v1) & hollywood(v1) & front(v7) & front(v0) & furniture(v7) & furniture(v0) & seat(v7) & seat(v0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ young(v16) | ~ young(v15) | ~ man(v16) | ~ man(v15) | ~ fellow(v16) | ~ fellow(v15) | ~ in(v16, v10) | ~ in(v15, v17) | ~ in(v12, v11) | ~ down(v12, v14) | ~ barrel(v12, v13) | ~ lonely(v14) | ~ way(v14) | ~ street(v14) | ~ old(v13) | ~ dirty(v13) | ~ white(v13) | ~ car(v13) | ~ chevy(v13) | ~ event(v12) | ~ city(v11) | ~ hollywood(v11) | ~ front(v17) | ~ front(v10) | ~ furniture(v17) | ~ furniture(v10) | ~ seat(v17) | ~ seat(v10))) | (v9 = v6 & v8 = v5 & ~ (v6 = v5) & young(v6) & young(v5) & man(v6) & man(v5) & fellow(v6) & fellow(v5) & in(v6, v0) & in(v5, v7) & in(v2, v1) & down(v2, v4) & barrel(v2, v3) & lonely(v4) & way(v4) & street(v4) & old(v3) & dirty(v3) & white(v3) & car(v3) & chevy(v3) & event(v2) & city(v1) & hollywood(v1) & front(v7) & front(v0) & furniture(v7) & furniture(v0) & seat(v7) & seat(v0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ young(v16) | ~ young(v15) | ~ man(v16) | ~ man(v15) | ~ fellow(v16) | ~ fellow(v15) | ~ in(v16, v17) | ~ in(v15, v10) | ~ in(v12, v11) | ~ down(v12, v14) | ~ barrel(v12, v13) | ~ lonely(v14) | ~ way(v14) | ~ street(v14) | ~ old(v13) | ~ dirty(v13) | ~ white(v13) | ~ car(v13) | ~ chevy(v13) | ~ event(v12) | ~ city(v11) | ~ hollywood(v11) | ~ front(v17) | ~ front(v10) | ~ furniture(v17) | ~ furniture(v10) | ~ seat(v17) | ~ seat(v10))))
% 3.63/1.48 | 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:
% 3.63/1.48 | (1) (all_0_0_0 = all_0_3_3 & all_0_1_1 = all_0_4_4 & ~ (all_0_3_3 = all_0_4_4) & young(all_0_3_3) & young(all_0_4_4) & man(all_0_3_3) & man(all_0_4_4) & fellow(all_0_3_3) & fellow(all_0_4_4) & in(all_0_3_3, all_0_2_2) & in(all_0_4_4, all_0_9_9) & in(all_0_7_7, all_0_8_8) & down(all_0_7_7, all_0_5_5) & barrel(all_0_7_7, all_0_6_6) & lonely(all_0_5_5) & way(all_0_5_5) & street(all_0_5_5) & old(all_0_6_6) & dirty(all_0_6_6) & white(all_0_6_6) & car(all_0_6_6) & chevy(all_0_6_6) & event(all_0_7_7) & city(all_0_8_8) & hollywood(all_0_8_8) & front(all_0_2_2) & front(all_0_9_9) & furniture(all_0_2_2) & furniture(all_0_9_9) & seat(all_0_2_2) & seat(all_0_9_9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ young(v6) | ~ young(v5) | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, v0) | ~ in(v5, v7) | ~ in(v2, v1) | ~ down(v2, v4) | ~ barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | ~ seat(v0))) | (all_0_0_0 = all_0_3_3 & all_0_1_1 = all_0_4_4 & ~ (all_0_3_3 = all_0_4_4) & young(all_0_3_3) & young(all_0_4_4) & man(all_0_3_3) & man(all_0_4_4) & fellow(all_0_3_3) & fellow(all_0_4_4) & in(all_0_3_3, all_0_9_9) & in(all_0_4_4, all_0_2_2) & in(all_0_7_7, all_0_8_8) & down(all_0_7_7, all_0_5_5) & barrel(all_0_7_7, all_0_6_6) & lonely(all_0_5_5) & way(all_0_5_5) & street(all_0_5_5) & old(all_0_6_6) & dirty(all_0_6_6) & white(all_0_6_6) & car(all_0_6_6) & chevy(all_0_6_6) & event(all_0_7_7) & city(all_0_8_8) & hollywood(all_0_8_8) & front(all_0_2_2) & front(all_0_9_9) & furniture(all_0_2_2) & furniture(all_0_9_9) & seat(all_0_2_2) & seat(all_0_9_9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ young(v6) | ~ young(v5) | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, v7) | ~ in(v5, v0) | ~ in(v2, v1) | ~ down(v2, v4) | ~ barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | ~ seat(v0)))
% 3.68/1.49 |
% 3.68/1.49 +-Applying beta-rule and splitting (1), into two cases.
% 3.68/1.49 |-Branch one:
% 3.68/1.49 | (2) all_0_0_0 = all_0_3_3 & all_0_1_1 = all_0_4_4 & ~ (all_0_3_3 = all_0_4_4) & young(all_0_3_3) & young(all_0_4_4) & man(all_0_3_3) & man(all_0_4_4) & fellow(all_0_3_3) & fellow(all_0_4_4) & in(all_0_3_3, all_0_2_2) & in(all_0_4_4, all_0_9_9) & in(all_0_7_7, all_0_8_8) & down(all_0_7_7, all_0_5_5) & barrel(all_0_7_7, all_0_6_6) & lonely(all_0_5_5) & way(all_0_5_5) & street(all_0_5_5) & old(all_0_6_6) & dirty(all_0_6_6) & white(all_0_6_6) & car(all_0_6_6) & chevy(all_0_6_6) & event(all_0_7_7) & city(all_0_8_8) & hollywood(all_0_8_8) & front(all_0_2_2) & front(all_0_9_9) & furniture(all_0_2_2) & furniture(all_0_9_9) & seat(all_0_2_2) & seat(all_0_9_9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ young(v6) | ~ young(v5) | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, v0) | ~ in(v5, v7) | ~ in(v2, v1) | ~ down(v2, v4) | ~ barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | ~ seat(v0))
% 3.68/1.49 |
% 3.68/1.49 | Applying alpha-rule on (2) yields:
% 3.68/1.49 | (3) all_0_0_0 = all_0_3_3
% 3.68/1.49 | (4) white(all_0_6_6)
% 3.68/1.49 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ young(v6) | ~ young(v5) | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, v0) | ~ in(v5, v7) | ~ in(v2, v1) | ~ down(v2, v4) | ~ barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | ~ seat(v0))
% 3.68/1.49 | (6) old(all_0_6_6)
% 3.68/1.49 | (7) furniture(all_0_2_2)
% 3.68/1.49 | (8) man(all_0_4_4)
% 3.68/1.49 | (9) in(all_0_7_7, all_0_8_8)
% 3.68/1.49 | (10) all_0_1_1 = all_0_4_4
% 3.68/1.49 | (11) in(all_0_3_3, all_0_2_2)
% 3.68/1.49 | (12) seat(all_0_9_9)
% 3.68/1.49 | (13) front(all_0_9_9)
% 3.68/1.49 | (14) ~ (all_0_3_3 = all_0_4_4)
% 3.68/1.49 | (15) city(all_0_8_8)
% 3.68/1.49 | (16) young(all_0_4_4)
% 3.68/1.49 | (17) event(all_0_7_7)
% 3.68/1.49 | (18) street(all_0_5_5)
% 3.68/1.49 | (19) fellow(all_0_3_3)
% 3.68/1.49 | (20) barrel(all_0_7_7, all_0_6_6)
% 3.68/1.49 | (21) in(all_0_4_4, all_0_9_9)
% 3.68/1.49 | (22) furniture(all_0_9_9)
% 3.68/1.49 | (23) dirty(all_0_6_6)
% 3.68/1.49 | (24) way(all_0_5_5)
% 3.68/1.49 | (25) man(all_0_3_3)
% 3.68/1.49 | (26) chevy(all_0_6_6)
% 3.68/1.49 | (27) front(all_0_2_2)
% 3.68/1.49 | (28) down(all_0_7_7, all_0_5_5)
% 3.68/1.49 | (29) hollywood(all_0_8_8)
% 3.68/1.49 | (30) fellow(all_0_4_4)
% 3.68/1.49 | (31) young(all_0_3_3)
% 3.68/1.49 | (32) seat(all_0_2_2)
% 3.68/1.49 | (33) car(all_0_6_6)
% 3.68/1.49 | (34) lonely(all_0_5_5)
% 3.68/1.50 |
% 3.68/1.50 | Instantiating formula (5) with all_0_9_9, 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_2_2 and discharging atoms young(all_0_3_3), young(all_0_4_4), man(all_0_3_3), man(all_0_4_4), fellow(all_0_3_3), fellow(all_0_4_4), in(all_0_3_3, all_0_2_2), in(all_0_4_4, all_0_9_9), in(all_0_7_7, all_0_8_8), down(all_0_7_7, all_0_5_5), barrel(all_0_7_7, all_0_6_6), lonely(all_0_5_5), way(all_0_5_5), street(all_0_5_5), old(all_0_6_6), dirty(all_0_6_6), white(all_0_6_6), car(all_0_6_6), chevy(all_0_6_6), event(all_0_7_7), city(all_0_8_8), hollywood(all_0_8_8), front(all_0_2_2), front(all_0_9_9), furniture(all_0_2_2), furniture(all_0_9_9), seat(all_0_2_2), seat(all_0_9_9), yields:
% 3.68/1.50 | (35) all_0_3_3 = all_0_4_4
% 3.68/1.50 |
% 3.68/1.50 | Equations (35) can reduce 14 to:
% 3.68/1.50 | (36) $false
% 3.68/1.50 |
% 3.68/1.50 |-The branch is then unsatisfiable
% 3.68/1.50 |-Branch two:
% 3.68/1.50 | (37) all_0_0_0 = all_0_3_3 & all_0_1_1 = all_0_4_4 & ~ (all_0_3_3 = all_0_4_4) & young(all_0_3_3) & young(all_0_4_4) & man(all_0_3_3) & man(all_0_4_4) & fellow(all_0_3_3) & fellow(all_0_4_4) & in(all_0_3_3, all_0_9_9) & in(all_0_4_4, all_0_2_2) & in(all_0_7_7, all_0_8_8) & down(all_0_7_7, all_0_5_5) & barrel(all_0_7_7, all_0_6_6) & lonely(all_0_5_5) & way(all_0_5_5) & street(all_0_5_5) & old(all_0_6_6) & dirty(all_0_6_6) & white(all_0_6_6) & car(all_0_6_6) & chevy(all_0_6_6) & event(all_0_7_7) & city(all_0_8_8) & hollywood(all_0_8_8) & front(all_0_2_2) & front(all_0_9_9) & furniture(all_0_2_2) & furniture(all_0_9_9) & seat(all_0_2_2) & seat(all_0_9_9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ young(v6) | ~ young(v5) | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, v7) | ~ in(v5, v0) | ~ in(v2, v1) | ~ down(v2, v4) | ~ barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | ~ seat(v0))
% 3.68/1.50 |
% 3.68/1.50 | Applying alpha-rule on (37) yields:
% 3.68/1.50 | (3) all_0_0_0 = all_0_3_3
% 3.68/1.50 | (4) white(all_0_6_6)
% 3.68/1.50 | (6) old(all_0_6_6)
% 3.68/1.50 | (7) furniture(all_0_2_2)
% 3.68/1.50 | (8) man(all_0_4_4)
% 3.68/1.50 | (9) in(all_0_7_7, all_0_8_8)
% 3.68/1.50 | (10) all_0_1_1 = all_0_4_4
% 3.68/1.50 | (12) seat(all_0_9_9)
% 3.68/1.50 | (46) in(all_0_3_3, all_0_9_9)
% 3.68/1.50 | (13) front(all_0_9_9)
% 3.68/1.50 | (14) ~ (all_0_3_3 = all_0_4_4)
% 3.68/1.50 | (15) city(all_0_8_8)
% 3.68/1.50 | (16) young(all_0_4_4)
% 3.68/1.50 | (17) event(all_0_7_7)
% 3.68/1.50 | (18) street(all_0_5_5)
% 3.68/1.50 | (19) fellow(all_0_3_3)
% 3.68/1.50 | (20) barrel(all_0_7_7, all_0_6_6)
% 3.68/1.50 | (22) furniture(all_0_9_9)
% 3.68/1.50 | (23) dirty(all_0_6_6)
% 3.68/1.51 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ young(v6) | ~ young(v5) | ~ man(v6) | ~ man(v5) | ~ fellow(v6) | ~ fellow(v5) | ~ in(v6, v7) | ~ in(v5, v0) | ~ in(v2, v1) | ~ down(v2, v4) | ~ barrel(v2, v3) | ~ lonely(v4) | ~ way(v4) | ~ street(v4) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ event(v2) | ~ city(v1) | ~ hollywood(v1) | ~ front(v7) | ~ front(v0) | ~ furniture(v7) | ~ furniture(v0) | ~ seat(v7) | ~ seat(v0))
% 3.68/1.51 | (24) way(all_0_5_5)
% 3.68/1.51 | (25) man(all_0_3_3)
% 3.68/1.51 | (26) chevy(all_0_6_6)
% 3.68/1.51 | (27) front(all_0_2_2)
% 3.68/1.51 | (28) down(all_0_7_7, all_0_5_5)
% 3.68/1.51 | (29) hollywood(all_0_8_8)
% 3.68/1.51 | (30) fellow(all_0_4_4)
% 3.68/1.51 | (31) young(all_0_3_3)
% 3.68/1.51 | (66) in(all_0_4_4, all_0_2_2)
% 3.68/1.51 | (32) seat(all_0_2_2)
% 3.68/1.51 | (33) car(all_0_6_6)
% 3.68/1.51 | (34) lonely(all_0_5_5)
% 3.68/1.51 |
% 3.68/1.51 | Instantiating formula (57) with all_0_9_9, 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_2_2 and discharging atoms young(all_0_3_3), young(all_0_4_4), man(all_0_3_3), man(all_0_4_4), fellow(all_0_3_3), fellow(all_0_4_4), in(all_0_3_3, all_0_9_9), in(all_0_4_4, all_0_2_2), in(all_0_7_7, all_0_8_8), down(all_0_7_7, all_0_5_5), barrel(all_0_7_7, all_0_6_6), lonely(all_0_5_5), way(all_0_5_5), street(all_0_5_5), old(all_0_6_6), dirty(all_0_6_6), white(all_0_6_6), car(all_0_6_6), chevy(all_0_6_6), event(all_0_7_7), city(all_0_8_8), hollywood(all_0_8_8), front(all_0_2_2), front(all_0_9_9), furniture(all_0_2_2), furniture(all_0_9_9), seat(all_0_2_2), seat(all_0_9_9), yields:
% 3.82/1.51 | (35) all_0_3_3 = all_0_4_4
% 3.82/1.51 |
% 3.82/1.51 | Equations (35) can reduce 14 to:
% 3.82/1.51 | (36) $false
% 3.82/1.51 |
% 3.82/1.51 |-The branch is then unsatisfiable
% 3.82/1.51 % SZS output end Proof for theBenchmark
% 3.82/1.51
% 3.82/1.51 966ms
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