TSTP Solution File: NLP094+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NLP094+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n011.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 01:55:51 EDT 2022
% Result : Theorem 2.40s 1.25s
% Output : Proof 3.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NLP094+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n011.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 : Thu Jun 30 21:31:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.61 ____ _
% 0.51/0.61 ___ / __ \_____(_)___ ________ __________
% 0.51/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.61
% 0.51/0.61 A Theorem Prover for First-Order Logic
% 0.51/0.62 (ePrincess v.1.0)
% 0.51/0.62
% 0.51/0.62 (c) Philipp Rümmer, 2009-2015
% 0.51/0.62 (c) Peter Backeman, 2014-2015
% 0.51/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.62 Bug reports to peter@backeman.se
% 0.51/0.62
% 0.51/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.62
% 0.51/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.67/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.50/0.96 Prover 0: Preprocessing ...
% 1.93/1.10 Prover 0: Constructing countermodel ...
% 2.40/1.25 Prover 0: proved (576ms)
% 2.40/1.25
% 2.40/1.25 No countermodel exists, formula is valid
% 2.40/1.25 % SZS status Theorem for theBenchmark
% 2.40/1.25
% 2.40/1.25 Generating proof ... found it (size 20)
% 3.18/1.46
% 3.18/1.46 % SZS output start Proof for theBenchmark
% 3.18/1.46 Assumed formulas after preprocessing and simplification:
% 3.18/1.46 | (0) ? [v0] : ((actual_world(v0) & ! [v1] : ! [v2] : ( ~ in(v0, v1, v2) | ~ restaurant(v0, v2) | ~ customer(v0, v1) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (see(v0, v6) & drink(v0, v5) & nonreflexive(v0, v6) & nonreflexive(v0, v5) & past(v0, v6) & past(v0, v5) & patient(v0, v6, v4) & patient(v0, v5, v3) & agent(v0, v6, v1) & agent(v0, v5, v4) & event(v0, v6) & event(v0, v5) & coffee(v0, v3) & human_person(v0, v4))) & ! [v1] : ( ~ actual_world(v1) | ? [v2] : ? [v3] : (in(v1, v2, v3) & restaurant(v1, v3) & customer(v1, v2) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ see(v1, v7) | ~ drink(v1, v6) | ~ nonreflexive(v1, v7) | ~ nonreflexive(v1, v6) | ~ past(v1, v7) | ~ past(v1, v6) | ~ patient(v1, v7, v4) | ~ patient(v1, v6, v5) | ~ agent(v1, v7, v2) | ~ agent(v1, v6, v4) | ~ event(v1, v7) | ~ event(v1, v6) | ~ coffee(v1, v5) | ~ human_person(v1, v4))))) | (actual_world(v0) & ! [v1] : ! [v2] : ( ~ in(v0, v1, v2) | ~ restaurant(v0, v2) | ~ customer(v0, v1) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (see(v0, v6) & drink(v0, v5) & nonreflexive(v0, v6) & nonreflexive(v0, v5) & past(v0, v6) & past(v0, v5) & patient(v0, v6, v3) & patient(v0, v5, v4) & agent(v0, v6, v1) & agent(v0, v5, v3) & event(v0, v6) & event(v0, v5) & coffee(v0, v4) & human_person(v0, v3))) & ! [v1] : ( ~ actual_world(v1) | ? [v2] : ? [v3] : (in(v1, v2, v3) & restaurant(v1, v3) & customer(v1, v2) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ see(v1, v7) | ~ drink(v1, v6) | ~ nonreflexive(v1, v7) | ~ nonreflexive(v1, v6) | ~ past(v1, v7) | ~ past(v1, v6) | ~ patient(v1, v7, v5) | ~ patient(v1, v6, v4) | ~ agent(v1, v7, v2) | ~ agent(v1, v6, v5) | ~ event(v1, v7) | ~ event(v1, v6) | ~ coffee(v1, v4) | ~ human_person(v1, v5))))))
% 3.28/1.47 | Instantiating (0) with all_0_0_0 yields:
% 3.28/1.47 | (1) (actual_world(all_0_0_0) & ! [v0] : ! [v1] : ( ~ in(all_0_0_0, v0, v1) | ~ restaurant(all_0_0_0, v1) | ~ customer(all_0_0_0, v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (see(all_0_0_0, v5) & drink(all_0_0_0, v4) & nonreflexive(all_0_0_0, v5) & nonreflexive(all_0_0_0, v4) & past(all_0_0_0, v5) & past(all_0_0_0, v4) & patient(all_0_0_0, v5, v3) & patient(all_0_0_0, v4, v2) & agent(all_0_0_0, v5, v0) & agent(all_0_0_0, v4, v3) & event(all_0_0_0, v5) & event(all_0_0_0, v4) & coffee(all_0_0_0, v2) & human_person(all_0_0_0, v3))) & ! [v0] : ( ~ actual_world(v0) | ? [v1] : ? [v2] : (in(v0, v1, v2) & restaurant(v0, v2) & customer(v0, v1) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ see(v0, v6) | ~ drink(v0, v5) | ~ nonreflexive(v0, v6) | ~ nonreflexive(v0, v5) | ~ past(v0, v6) | ~ past(v0, v5) | ~ patient(v0, v6, v3) | ~ patient(v0, v5, v4) | ~ agent(v0, v6, v1) | ~ agent(v0, v5, v3) | ~ event(v0, v6) | ~ event(v0, v5) | ~ coffee(v0, v4) | ~ human_person(v0, v3))))) | (actual_world(all_0_0_0) & ! [v0] : ! [v1] : ( ~ in(all_0_0_0, v0, v1) | ~ restaurant(all_0_0_0, v1) | ~ customer(all_0_0_0, v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (see(all_0_0_0, v5) & drink(all_0_0_0, v4) & nonreflexive(all_0_0_0, v5) & nonreflexive(all_0_0_0, v4) & past(all_0_0_0, v5) & past(all_0_0_0, v4) & patient(all_0_0_0, v5, v2) & patient(all_0_0_0, v4, v3) & agent(all_0_0_0, v5, v0) & agent(all_0_0_0, v4, v2) & event(all_0_0_0, v5) & event(all_0_0_0, v4) & coffee(all_0_0_0, v3) & human_person(all_0_0_0, v2))) & ! [v0] : ( ~ actual_world(v0) | ? [v1] : ? [v2] : (in(v0, v1, v2) & restaurant(v0, v2) & customer(v0, v1) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ see(v0, v6) | ~ drink(v0, v5) | ~ nonreflexive(v0, v6) | ~ nonreflexive(v0, v5) | ~ past(v0, v6) | ~ past(v0, v5) | ~ patient(v0, v6, v4) | ~ patient(v0, v5, v3) | ~ agent(v0, v6, v1) | ~ agent(v0, v5, v4) | ~ event(v0, v6) | ~ event(v0, v5) | ~ coffee(v0, v3) | ~ human_person(v0, v4)))))
% 3.28/1.48 |
% 3.28/1.48 +-Applying beta-rule and splitting (1), into two cases.
% 3.28/1.48 |-Branch one:
% 3.28/1.48 | (2) actual_world(all_0_0_0) & ! [v0] : ! [v1] : ( ~ in(all_0_0_0, v0, v1) | ~ restaurant(all_0_0_0, v1) | ~ customer(all_0_0_0, v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (see(all_0_0_0, v5) & drink(all_0_0_0, v4) & nonreflexive(all_0_0_0, v5) & nonreflexive(all_0_0_0, v4) & past(all_0_0_0, v5) & past(all_0_0_0, v4) & patient(all_0_0_0, v5, v3) & patient(all_0_0_0, v4, v2) & agent(all_0_0_0, v5, v0) & agent(all_0_0_0, v4, v3) & event(all_0_0_0, v5) & event(all_0_0_0, v4) & coffee(all_0_0_0, v2) & human_person(all_0_0_0, v3))) & ! [v0] : ( ~ actual_world(v0) | ? [v1] : ? [v2] : (in(v0, v1, v2) & restaurant(v0, v2) & customer(v0, v1) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ see(v0, v6) | ~ drink(v0, v5) | ~ nonreflexive(v0, v6) | ~ nonreflexive(v0, v5) | ~ past(v0, v6) | ~ past(v0, v5) | ~ patient(v0, v6, v3) | ~ patient(v0, v5, v4) | ~ agent(v0, v6, v1) | ~ agent(v0, v5, v3) | ~ event(v0, v6) | ~ event(v0, v5) | ~ coffee(v0, v4) | ~ human_person(v0, v3))))
% 3.28/1.48 |
% 3.28/1.48 | Applying alpha-rule on (2) yields:
% 3.28/1.48 | (3) actual_world(all_0_0_0)
% 3.28/1.48 | (4) ! [v0] : ! [v1] : ( ~ in(all_0_0_0, v0, v1) | ~ restaurant(all_0_0_0, v1) | ~ customer(all_0_0_0, v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (see(all_0_0_0, v5) & drink(all_0_0_0, v4) & nonreflexive(all_0_0_0, v5) & nonreflexive(all_0_0_0, v4) & past(all_0_0_0, v5) & past(all_0_0_0, v4) & patient(all_0_0_0, v5, v3) & patient(all_0_0_0, v4, v2) & agent(all_0_0_0, v5, v0) & agent(all_0_0_0, v4, v3) & event(all_0_0_0, v5) & event(all_0_0_0, v4) & coffee(all_0_0_0, v2) & human_person(all_0_0_0, v3)))
% 3.28/1.48 | (5) ! [v0] : ( ~ actual_world(v0) | ? [v1] : ? [v2] : (in(v0, v1, v2) & restaurant(v0, v2) & customer(v0, v1) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ see(v0, v6) | ~ drink(v0, v5) | ~ nonreflexive(v0, v6) | ~ nonreflexive(v0, v5) | ~ past(v0, v6) | ~ past(v0, v5) | ~ patient(v0, v6, v3) | ~ patient(v0, v5, v4) | ~ agent(v0, v6, v1) | ~ agent(v0, v5, v3) | ~ event(v0, v6) | ~ event(v0, v5) | ~ coffee(v0, v4) | ~ human_person(v0, v3))))
% 3.28/1.49 |
% 3.28/1.49 | Instantiating formula (5) with all_0_0_0 and discharging atoms actual_world(all_0_0_0), yields:
% 3.28/1.49 | (6) ? [v0] : ? [v1] : (in(all_0_0_0, v0, v1) & restaurant(all_0_0_0, v1) & customer(all_0_0_0, v0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ see(all_0_0_0, v5) | ~ drink(all_0_0_0, v4) | ~ nonreflexive(all_0_0_0, v5) | ~ nonreflexive(all_0_0_0, v4) | ~ past(all_0_0_0, v5) | ~ past(all_0_0_0, v4) | ~ patient(all_0_0_0, v5, v2) | ~ patient(all_0_0_0, v4, v3) | ~ agent(all_0_0_0, v5, v0) | ~ agent(all_0_0_0, v4, v2) | ~ event(all_0_0_0, v5) | ~ event(all_0_0_0, v4) | ~ coffee(all_0_0_0, v3) | ~ human_person(all_0_0_0, v2)))
% 3.28/1.49 |
% 3.28/1.49 | Instantiating (6) with all_9_0_1, all_9_1_2 yields:
% 3.28/1.49 | (7) in(all_0_0_0, all_9_1_2, all_9_0_1) & restaurant(all_0_0_0, all_9_0_1) & customer(all_0_0_0, all_9_1_2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ see(all_0_0_0, v3) | ~ drink(all_0_0_0, v2) | ~ nonreflexive(all_0_0_0, v3) | ~ nonreflexive(all_0_0_0, v2) | ~ past(all_0_0_0, v3) | ~ past(all_0_0_0, v2) | ~ patient(all_0_0_0, v3, v0) | ~ patient(all_0_0_0, v2, v1) | ~ agent(all_0_0_0, v3, all_9_1_2) | ~ agent(all_0_0_0, v2, v0) | ~ event(all_0_0_0, v3) | ~ event(all_0_0_0, v2) | ~ coffee(all_0_0_0, v1) | ~ human_person(all_0_0_0, v0))
% 3.28/1.49 |
% 3.28/1.49 | Applying alpha-rule on (7) yields:
% 3.28/1.49 | (8) in(all_0_0_0, all_9_1_2, all_9_0_1)
% 3.28/1.49 | (9) restaurant(all_0_0_0, all_9_0_1)
% 3.28/1.49 | (10) customer(all_0_0_0, all_9_1_2)
% 3.28/1.49 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ see(all_0_0_0, v3) | ~ drink(all_0_0_0, v2) | ~ nonreflexive(all_0_0_0, v3) | ~ nonreflexive(all_0_0_0, v2) | ~ past(all_0_0_0, v3) | ~ past(all_0_0_0, v2) | ~ patient(all_0_0_0, v3, v0) | ~ patient(all_0_0_0, v2, v1) | ~ agent(all_0_0_0, v3, all_9_1_2) | ~ agent(all_0_0_0, v2, v0) | ~ event(all_0_0_0, v3) | ~ event(all_0_0_0, v2) | ~ coffee(all_0_0_0, v1) | ~ human_person(all_0_0_0, v0))
% 3.28/1.49 |
% 3.28/1.49 | Instantiating formula (4) with all_9_0_1, all_9_1_2 and discharging atoms in(all_0_0_0, all_9_1_2, all_9_0_1), restaurant(all_0_0_0, all_9_0_1), customer(all_0_0_0, all_9_1_2), yields:
% 3.28/1.49 | (12) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (see(all_0_0_0, v3) & drink(all_0_0_0, v2) & nonreflexive(all_0_0_0, v3) & nonreflexive(all_0_0_0, v2) & past(all_0_0_0, v3) & past(all_0_0_0, v2) & patient(all_0_0_0, v3, v1) & patient(all_0_0_0, v2, v0) & agent(all_0_0_0, v3, all_9_1_2) & agent(all_0_0_0, v2, v1) & event(all_0_0_0, v3) & event(all_0_0_0, v2) & coffee(all_0_0_0, v0) & human_person(all_0_0_0, v1))
% 3.28/1.49 |
% 3.28/1.49 | Instantiating (12) with all_17_0_3, all_17_1_4, all_17_2_5, all_17_3_6 yields:
% 3.28/1.49 | (13) see(all_0_0_0, all_17_0_3) & drink(all_0_0_0, all_17_1_4) & nonreflexive(all_0_0_0, all_17_0_3) & nonreflexive(all_0_0_0, all_17_1_4) & past(all_0_0_0, all_17_0_3) & past(all_0_0_0, all_17_1_4) & patient(all_0_0_0, all_17_0_3, all_17_2_5) & patient(all_0_0_0, all_17_1_4, all_17_3_6) & agent(all_0_0_0, all_17_0_3, all_9_1_2) & agent(all_0_0_0, all_17_1_4, all_17_2_5) & event(all_0_0_0, all_17_0_3) & event(all_0_0_0, all_17_1_4) & coffee(all_0_0_0, all_17_3_6) & human_person(all_0_0_0, all_17_2_5)
% 3.28/1.49 |
% 3.28/1.49 | Applying alpha-rule on (13) yields:
% 3.28/1.49 | (14) agent(all_0_0_0, all_17_0_3, all_9_1_2)
% 3.28/1.49 | (15) past(all_0_0_0, all_17_1_4)
% 3.28/1.49 | (16) event(all_0_0_0, all_17_1_4)
% 3.28/1.49 | (17) patient(all_0_0_0, all_17_1_4, all_17_3_6)
% 3.28/1.49 | (18) coffee(all_0_0_0, all_17_3_6)
% 3.28/1.49 | (19) see(all_0_0_0, all_17_0_3)
% 3.28/1.49 | (20) human_person(all_0_0_0, all_17_2_5)
% 3.28/1.49 | (21) past(all_0_0_0, all_17_0_3)
% 3.28/1.49 | (22) nonreflexive(all_0_0_0, all_17_0_3)
% 3.28/1.49 | (23) drink(all_0_0_0, all_17_1_4)
% 3.28/1.49 | (24) agent(all_0_0_0, all_17_1_4, all_17_2_5)
% 3.28/1.49 | (25) patient(all_0_0_0, all_17_0_3, all_17_2_5)
% 3.28/1.49 | (26) nonreflexive(all_0_0_0, all_17_1_4)
% 3.28/1.50 | (27) event(all_0_0_0, all_17_0_3)
% 3.28/1.50 |
% 3.28/1.50 | Instantiating formula (11) with all_17_0_3, all_17_1_4, all_17_3_6, all_17_2_5 and discharging atoms see(all_0_0_0, all_17_0_3), drink(all_0_0_0, all_17_1_4), nonreflexive(all_0_0_0, all_17_0_3), nonreflexive(all_0_0_0, all_17_1_4), past(all_0_0_0, all_17_0_3), past(all_0_0_0, all_17_1_4), patient(all_0_0_0, all_17_0_3, all_17_2_5), patient(all_0_0_0, all_17_1_4, all_17_3_6), agent(all_0_0_0, all_17_0_3, all_9_1_2), agent(all_0_0_0, all_17_1_4, all_17_2_5), event(all_0_0_0, all_17_0_3), event(all_0_0_0, all_17_1_4), coffee(all_0_0_0, all_17_3_6), human_person(all_0_0_0, all_17_2_5), yields:
% 3.28/1.50 | (28) $false
% 3.28/1.50 |
% 3.28/1.50 |-The branch is then unsatisfiable
% 3.28/1.50 |-Branch two:
% 3.28/1.50 | (29) actual_world(all_0_0_0) & ! [v0] : ! [v1] : ( ~ in(all_0_0_0, v0, v1) | ~ restaurant(all_0_0_0, v1) | ~ customer(all_0_0_0, v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (see(all_0_0_0, v5) & drink(all_0_0_0, v4) & nonreflexive(all_0_0_0, v5) & nonreflexive(all_0_0_0, v4) & past(all_0_0_0, v5) & past(all_0_0_0, v4) & patient(all_0_0_0, v5, v2) & patient(all_0_0_0, v4, v3) & agent(all_0_0_0, v5, v0) & agent(all_0_0_0, v4, v2) & event(all_0_0_0, v5) & event(all_0_0_0, v4) & coffee(all_0_0_0, v3) & human_person(all_0_0_0, v2))) & ! [v0] : ( ~ actual_world(v0) | ? [v1] : ? [v2] : (in(v0, v1, v2) & restaurant(v0, v2) & customer(v0, v1) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ see(v0, v6) | ~ drink(v0, v5) | ~ nonreflexive(v0, v6) | ~ nonreflexive(v0, v5) | ~ past(v0, v6) | ~ past(v0, v5) | ~ patient(v0, v6, v4) | ~ patient(v0, v5, v3) | ~ agent(v0, v6, v1) | ~ agent(v0, v5, v4) | ~ event(v0, v6) | ~ event(v0, v5) | ~ coffee(v0, v3) | ~ human_person(v0, v4))))
% 3.28/1.50 |
% 3.28/1.50 | Applying alpha-rule on (29) yields:
% 3.28/1.50 | (3) actual_world(all_0_0_0)
% 3.28/1.50 | (31) ! [v0] : ! [v1] : ( ~ in(all_0_0_0, v0, v1) | ~ restaurant(all_0_0_0, v1) | ~ customer(all_0_0_0, v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (see(all_0_0_0, v5) & drink(all_0_0_0, v4) & nonreflexive(all_0_0_0, v5) & nonreflexive(all_0_0_0, v4) & past(all_0_0_0, v5) & past(all_0_0_0, v4) & patient(all_0_0_0, v5, v2) & patient(all_0_0_0, v4, v3) & agent(all_0_0_0, v5, v0) & agent(all_0_0_0, v4, v2) & event(all_0_0_0, v5) & event(all_0_0_0, v4) & coffee(all_0_0_0, v3) & human_person(all_0_0_0, v2)))
% 3.28/1.50 | (32) ! [v0] : ( ~ actual_world(v0) | ? [v1] : ? [v2] : (in(v0, v1, v2) & restaurant(v0, v2) & customer(v0, v1) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ see(v0, v6) | ~ drink(v0, v5) | ~ nonreflexive(v0, v6) | ~ nonreflexive(v0, v5) | ~ past(v0, v6) | ~ past(v0, v5) | ~ patient(v0, v6, v4) | ~ patient(v0, v5, v3) | ~ agent(v0, v6, v1) | ~ agent(v0, v5, v4) | ~ event(v0, v6) | ~ event(v0, v5) | ~ coffee(v0, v3) | ~ human_person(v0, v4))))
% 3.28/1.50 |
% 3.28/1.50 | Instantiating formula (32) with all_0_0_0 and discharging atoms actual_world(all_0_0_0), yields:
% 3.28/1.50 | (33) ? [v0] : ? [v1] : (in(all_0_0_0, v0, v1) & restaurant(all_0_0_0, v1) & customer(all_0_0_0, v0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ see(all_0_0_0, v5) | ~ drink(all_0_0_0, v4) | ~ nonreflexive(all_0_0_0, v5) | ~ nonreflexive(all_0_0_0, v4) | ~ past(all_0_0_0, v5) | ~ past(all_0_0_0, v4) | ~ patient(all_0_0_0, v5, v3) | ~ patient(all_0_0_0, v4, v2) | ~ agent(all_0_0_0, v5, v0) | ~ agent(all_0_0_0, v4, v3) | ~ event(all_0_0_0, v5) | ~ event(all_0_0_0, v4) | ~ coffee(all_0_0_0, v2) | ~ human_person(all_0_0_0, v3)))
% 3.28/1.50 |
% 3.28/1.50 | Instantiating (33) with all_9_0_7, all_9_1_8 yields:
% 3.28/1.50 | (34) in(all_0_0_0, all_9_1_8, all_9_0_7) & restaurant(all_0_0_0, all_9_0_7) & customer(all_0_0_0, all_9_1_8) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ see(all_0_0_0, v3) | ~ drink(all_0_0_0, v2) | ~ nonreflexive(all_0_0_0, v3) | ~ nonreflexive(all_0_0_0, v2) | ~ past(all_0_0_0, v3) | ~ past(all_0_0_0, v2) | ~ patient(all_0_0_0, v3, v1) | ~ patient(all_0_0_0, v2, v0) | ~ agent(all_0_0_0, v3, all_9_1_8) | ~ agent(all_0_0_0, v2, v1) | ~ event(all_0_0_0, v3) | ~ event(all_0_0_0, v2) | ~ coffee(all_0_0_0, v0) | ~ human_person(all_0_0_0, v1))
% 3.28/1.51 |
% 3.28/1.51 | Applying alpha-rule on (34) yields:
% 3.28/1.51 | (35) in(all_0_0_0, all_9_1_8, all_9_0_7)
% 3.28/1.51 | (36) restaurant(all_0_0_0, all_9_0_7)
% 3.28/1.51 | (37) customer(all_0_0_0, all_9_1_8)
% 3.28/1.51 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ see(all_0_0_0, v3) | ~ drink(all_0_0_0, v2) | ~ nonreflexive(all_0_0_0, v3) | ~ nonreflexive(all_0_0_0, v2) | ~ past(all_0_0_0, v3) | ~ past(all_0_0_0, v2) | ~ patient(all_0_0_0, v3, v1) | ~ patient(all_0_0_0, v2, v0) | ~ agent(all_0_0_0, v3, all_9_1_8) | ~ agent(all_0_0_0, v2, v1) | ~ event(all_0_0_0, v3) | ~ event(all_0_0_0, v2) | ~ coffee(all_0_0_0, v0) | ~ human_person(all_0_0_0, v1))
% 3.28/1.51 |
% 3.28/1.51 | Instantiating formula (31) with all_9_0_7, all_9_1_8 and discharging atoms in(all_0_0_0, all_9_1_8, all_9_0_7), restaurant(all_0_0_0, all_9_0_7), customer(all_0_0_0, all_9_1_8), yields:
% 3.28/1.51 | (39) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (see(all_0_0_0, v3) & drink(all_0_0_0, v2) & nonreflexive(all_0_0_0, v3) & nonreflexive(all_0_0_0, v2) & past(all_0_0_0, v3) & past(all_0_0_0, v2) & patient(all_0_0_0, v3, v0) & patient(all_0_0_0, v2, v1) & agent(all_0_0_0, v3, all_9_1_8) & agent(all_0_0_0, v2, v0) & event(all_0_0_0, v3) & event(all_0_0_0, v2) & coffee(all_0_0_0, v1) & human_person(all_0_0_0, v0))
% 3.28/1.51 |
% 3.28/1.51 | Instantiating (39) with all_17_0_9, all_17_1_10, all_17_2_11, all_17_3_12 yields:
% 3.28/1.51 | (40) see(all_0_0_0, all_17_0_9) & drink(all_0_0_0, all_17_1_10) & nonreflexive(all_0_0_0, all_17_0_9) & nonreflexive(all_0_0_0, all_17_1_10) & past(all_0_0_0, all_17_0_9) & past(all_0_0_0, all_17_1_10) & patient(all_0_0_0, all_17_0_9, all_17_3_12) & patient(all_0_0_0, all_17_1_10, all_17_2_11) & agent(all_0_0_0, all_17_0_9, all_9_1_8) & agent(all_0_0_0, all_17_1_10, all_17_3_12) & event(all_0_0_0, all_17_0_9) & event(all_0_0_0, all_17_1_10) & coffee(all_0_0_0, all_17_2_11) & human_person(all_0_0_0, all_17_3_12)
% 3.28/1.51 |
% 3.28/1.51 | Applying alpha-rule on (40) yields:
% 3.28/1.51 | (41) patient(all_0_0_0, all_17_0_9, all_17_3_12)
% 3.28/1.51 | (42) past(all_0_0_0, all_17_0_9)
% 3.28/1.51 | (43) patient(all_0_0_0, all_17_1_10, all_17_2_11)
% 3.28/1.51 | (44) past(all_0_0_0, all_17_1_10)
% 3.28/1.51 | (45) drink(all_0_0_0, all_17_1_10)
% 3.28/1.51 | (46) coffee(all_0_0_0, all_17_2_11)
% 3.28/1.51 | (47) event(all_0_0_0, all_17_0_9)
% 3.28/1.51 | (48) agent(all_0_0_0, all_17_1_10, all_17_3_12)
% 3.28/1.51 | (49) see(all_0_0_0, all_17_0_9)
% 3.28/1.51 | (50) event(all_0_0_0, all_17_1_10)
% 3.28/1.51 | (51) nonreflexive(all_0_0_0, all_17_0_9)
% 3.28/1.51 | (52) nonreflexive(all_0_0_0, all_17_1_10)
% 3.28/1.51 | (53) agent(all_0_0_0, all_17_0_9, all_9_1_8)
% 3.28/1.51 | (54) human_person(all_0_0_0, all_17_3_12)
% 3.28/1.51 |
% 3.28/1.51 | Instantiating formula (38) with all_17_0_9, all_17_1_10, all_17_3_12, all_17_2_11 and discharging atoms see(all_0_0_0, all_17_0_9), drink(all_0_0_0, all_17_1_10), nonreflexive(all_0_0_0, all_17_0_9), nonreflexive(all_0_0_0, all_17_1_10), past(all_0_0_0, all_17_0_9), past(all_0_0_0, all_17_1_10), patient(all_0_0_0, all_17_0_9, all_17_3_12), patient(all_0_0_0, all_17_1_10, all_17_2_11), agent(all_0_0_0, all_17_0_9, all_9_1_8), agent(all_0_0_0, all_17_1_10, all_17_3_12), event(all_0_0_0, all_17_0_9), event(all_0_0_0, all_17_1_10), coffee(all_0_0_0, all_17_2_11), human_person(all_0_0_0, all_17_3_12), yields:
% 3.28/1.51 | (28) $false
% 3.28/1.51 |
% 3.28/1.51 |-The branch is then unsatisfiable
% 3.28/1.51 % SZS output end Proof for theBenchmark
% 3.28/1.52
% 3.28/1.52 885ms
%------------------------------------------------------------------------------