TSTP Solution File: NLP251+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NLP251+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 01:57:25 EDT 2022
% Result : Theorem 4.21s 1.60s
% Output : Proof 6.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NLP251+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 30 19:17:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.58 ____ _
% 0.58/0.58 ___ / __ \_____(_)___ ________ __________
% 0.58/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.58
% 0.58/0.58 A Theorem Prover for First-Order Logic
% 0.58/0.58 (ePrincess v.1.0)
% 0.58/0.58
% 0.58/0.58 (c) Philipp Rümmer, 2009-2015
% 0.58/0.58 (c) Peter Backeman, 2014-2015
% 0.58/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.58 Bug reports to peter@backeman.se
% 0.58/0.58
% 0.58/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.58
% 0.58/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.76/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.85/1.01 Prover 0: Preprocessing ...
% 2.92/1.28 Prover 0: Constructing countermodel ...
% 4.21/1.59 Prover 0: proved (961ms)
% 4.21/1.60
% 4.21/1.60 No countermodel exists, formula is valid
% 4.21/1.60 % SZS status Theorem for theBenchmark
% 4.21/1.60
% 4.21/1.60 Generating proof ... found it (size 14)
% 6.19/2.00
% 6.19/2.00 % SZS output start Proof for theBenchmark
% 6.19/2.00 Assumed formulas after preprocessing and simplification:
% 6.19/2.00 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (actual_world(v0) & present(v0, v3) & agent(v0, v3, v1) & think_believe_consider(v0, v3) & theme(v0, v3, v4) & be(v0, v7, v6, v6) & of(v0, v5, v6) & of(v0, v2, v1) & accessible_world(v0, v4) & proposition(v0, v4) & event(v0, v3) & state(v0, v7) & man(v0, v6) & man(v0, v1) & vincent_forename(v0, v2) & forename(v0, v5) & forename(v0, v2) & jules_forename(v0, v5) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ actual_world(v8) | ~ present(v21, v22) | ~ present(v8, v20) | ~ present(v8, v15) | ~ agent(v21, v22, v11) | ~ agent(v8, v20, v9) | ~ agent(v8, v15, v13) | ~ think_believe_consider(v8, v20) | ~ think_believe_consider(v8, v15) | ~ theme(v8, v20, v21) | ~ theme(v8, v15, v16) | ~ be(v8, v19, v18, v18) | ~ of(v8, v17, v18) | ~ of(v8, v14, v13) | ~ of(v8, v12, v11) | ~ of(v8, v10, v9) | ~ accessible_world(v8, v21) | ~ accessible_world(v8, v16) | ~ smoke(v21, v22) | ~ proposition(v8, v21) | ~ proposition(v8, v16) | ~ event(v21, v22) | ~ event(v8, v20) | ~ event(v8, v15) | ~ state(v8, v19) | ~ man(v8, v18) | ~ man(v8, v13) | ~ man(v8, v11) | ~ man(v8, v9) | ~ vincent_forename(v8, v14) | ~ vincent_forename(v8, v10) | ~ forename(v8, v17) | ~ forename(v8, v14) | ~ forename(v8, v12) | ~ forename(v8, v10) | ~ jules_forename(v8, v17) | ~ jules_forename(v8, v12) | ? [v23] : (man(v16, v23) & ! [v24] : ( ~ present(v16, v24) | ~ agent(v16, v24, v23) | ~ smoke(v16, v24) | ~ event(v16, v24)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ agent(v8, v10, v11) | ~ agent(v8, v9, v11) | ~ think_believe_consider(v8, v10) | ~ think_believe_consider(v8, v9) | ~ theme(v8, v10, v13) | ~ theme(v8, v9, v12) | ~ proposition(v8, v13) | ~ proposition(v8, v12)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ be(v11, v8, v9, v10) | ~ accessible_world(v11, v12) | be(v12, v8, v9, v10)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ be(v8, v9, v10, v11)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ of(v8, v11, v9) | ~ of(v8, v10, v9) | ~ entity(v8, v9) | ~ forename(v8, v11) | ~ forename(v8, v10)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ agent(v10, v8, v9) | ~ accessible_world(v10, v11) | agent(v11, v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ theme(v10, v8, v9) | ~ accessible_world(v10, v11) | theme(v11, v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ of(v10, v8, v9) | ~ accessible_world(v10, v11) | of(v11, v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ( ~ present(v9, v8) | ~ accessible_world(v9, v10) | present(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ think_believe_consider(v9, v8) | ~ accessible_world(v9, v10) | think_believe_consider(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ smoke(v9, v8) | smoke(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ singleton(v9, v8) | singleton(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ nonexistent(v9, v8) | nonexistent(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ proposition(v9, v8) | proposition(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ nonhuman(v9, v8) | nonhuman(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ general(v9, v8) | general(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ unisex(v9, v8) | unisex(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ abstraction(v9, v8) | abstraction(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ eventuality(v9, v8) | eventuality(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ event(v9, v8) | event(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ state(v9, v8) | state(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ thing(v9, v8) | thing(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ specific(v9, v8) | specific(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ existent(v9, v8) | existent(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ entity(v9, v8) | entity(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ impartial(v9, v8) | impartial(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ living(v9, v8) | living(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ organism(v9, v8) | organism(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ human(v9, v8) | human(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ animate(v9, v8) | animate(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ human_person(v9, v8) | human_person(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ male(v9, v8) | male(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ man(v9, v8) | man(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ relation(v9, v8) | relation(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ relname(v9, v8) | relname(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ vincent_forename(v9, v8) | vincent_forename(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ forename(v9, v8) | forename(v10, v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ accessible_world(v9, v10) | ~ jules_forename(v9, v8) | jules_forename(v10, v8)) & ! [v8] : ! [v9] : ( ~ smoke(v8, v9) | event(v8, v9)) & ! [v8] : ! [v9] : ( ~ nonexistent(v8, v9) | ~ existent(v8, v9)) & ! [v8] : ! [v9] : ( ~ proposition(v8, v9) | relation(v8, v9)) & ! [v8] : ! [v9] : ( ~ nonhuman(v8, v9) | ~ human(v8, v9)) & ! [v8] : ! [v9] : ( ~ general(v8, v9) | ~ specific(v8, v9)) & ! [v8] : ! [v9] : ( ~ unisex(v8, v9) | ~ male(v8, v9)) & ! [v8] : ! [v9] : ( ~ abstraction(v8, v9) | nonhuman(v8, v9)) & ! [v8] : ! [v9] : ( ~ abstraction(v8, v9) | general(v8, v9)) & ! [v8] : ! [v9] : ( ~ abstraction(v8, v9) | unisex(v8, v9)) & ! [v8] : ! [v9] : ( ~ abstraction(v8, v9) | thing(v8, v9)) & ! [v8] : ! [v9] : ( ~ eventuality(v8, v9) | nonexistent(v8, v9)) & ! [v8] : ! [v9] : ( ~ eventuality(v8, v9) | unisex(v8, v9)) & ! [v8] : ! [v9] : ( ~ eventuality(v8, v9) | thing(v8, v9)) & ! [v8] : ! [v9] : ( ~ eventuality(v8, v9) | specific(v8, v9)) & ! [v8] : ! [v9] : ( ~ event(v8, v9) | eventuality(v8, v9)) & ! [v8] : ! [v9] : ( ~ state(v8, v9) | eventuality(v8, v9)) & ! [v8] : ! [v9] : ( ~ state(v8, v9) | event(v8, v9)) & ! [v8] : ! [v9] : ( ~ thing(v8, v9) | singleton(v8, v9)) & ! [v8] : ! [v9] : ( ~ entity(v8, v9) | thing(v8, v9)) & ! [v8] : ! [v9] : ( ~ entity(v8, v9) | specific(v8, v9)) & ! [v8] : ! [v9] : ( ~ entity(v8, v9) | existent(v8, v9)) & ! [v8] : ! [v9] : ( ~ organism(v8, v9) | entity(v8, v9)) & ! [v8] : ! [v9] : ( ~ organism(v8, v9) | impartial(v8, v9)) & ! [v8] : ! [v9] : ( ~ organism(v8, v9) | living(v8, v9)) & ! [v8] : ! [v9] : ( ~ human_person(v8, v9) | organism(v8, v9)) & ! [v8] : ! [v9] : ( ~ human_person(v8, v9) | human(v8, v9)) & ! [v8] : ! [v9] : ( ~ human_person(v8, v9) | animate(v8, v9)) & ! [v8] : ! [v9] : ( ~ man(v8, v9) | human_person(v8, v9)) & ! [v8] : ! [v9] : ( ~ man(v8, v9) | male(v8, v9)) & ! [v8] : ! [v9] : ( ~ relation(v8, v9) | abstraction(v8, v9)) & ! [v8] : ! [v9] : ( ~ relname(v8, v9) | relation(v8, v9)) & ! [v8] : ! [v9] : ( ~ vincent_forename(v8, v9) | forename(v8, v9)) & ! [v8] : ! [v9] : ( ~ forename(v8, v9) | relname(v8, v9)) & ! [v8] : ! [v9] : ( ~ jules_forename(v8, v9) | forename(v8, v9)) & ! [v8] : ( ~ man(v4, v8) | ? [v9] : (present(v4, v9) & agent(v4, v9, v8) & smoke(v4, v9) & event(v4, v9))))
% 6.19/2.03 | 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 yields:
% 6.19/2.03 | (1) actual_world(all_0_7_7) & present(all_0_7_7, all_0_4_4) & agent(all_0_7_7, all_0_4_4, all_0_6_6) & think_believe_consider(all_0_7_7, all_0_4_4) & theme(all_0_7_7, all_0_4_4, all_0_3_3) & be(all_0_7_7, all_0_0_0, all_0_1_1, all_0_1_1) & of(all_0_7_7, all_0_2_2, all_0_1_1) & of(all_0_7_7, all_0_5_5, all_0_6_6) & accessible_world(all_0_7_7, all_0_3_3) & proposition(all_0_7_7, all_0_3_3) & event(all_0_7_7, all_0_4_4) & state(all_0_7_7, all_0_0_0) & man(all_0_7_7, all_0_1_1) & man(all_0_7_7, all_0_6_6) & vincent_forename(all_0_7_7, all_0_5_5) & forename(all_0_7_7, all_0_2_2) & forename(all_0_7_7, all_0_5_5) & jules_forename(all_0_7_7, all_0_2_2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ actual_world(v0) | ~ present(v13, v14) | ~ present(v0, v12) | ~ present(v0, v7) | ~ agent(v13, v14, v3) | ~ agent(v0, v12, v1) | ~ agent(v0, v7, v5) | ~ think_believe_consider(v0, v12) | ~ think_believe_consider(v0, v7) | ~ theme(v0, v12, v13) | ~ theme(v0, v7, v8) | ~ be(v0, v11, v10, v10) | ~ of(v0, v9, v10) | ~ of(v0, v6, v5) | ~ of(v0, v4, v3) | ~ of(v0, v2, v1) | ~ accessible_world(v0, v13) | ~ accessible_world(v0, v8) | ~ smoke(v13, v14) | ~ proposition(v0, v13) | ~ proposition(v0, v8) | ~ event(v13, v14) | ~ event(v0, v12) | ~ event(v0, v7) | ~ state(v0, v11) | ~ man(v0, v10) | ~ man(v0, v5) | ~ man(v0, v3) | ~ man(v0, v1) | ~ vincent_forename(v0, v6) | ~ vincent_forename(v0, v2) | ~ forename(v0, v9) | ~ forename(v0, v6) | ~ forename(v0, v4) | ~ forename(v0, v2) | ~ jules_forename(v0, v9) | ~ jules_forename(v0, v4) | ? [v15] : (man(v8, v15) & ! [v16] : ( ~ present(v8, v16) | ~ agent(v8, v16, v15) | ~ smoke(v8, v16) | ~ event(v8, v16)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ agent(v0, v2, v3) | ~ agent(v0, v1, v3) | ~ think_believe_consider(v0, v2) | ~ think_believe_consider(v0, v1) | ~ theme(v0, v2, v5) | ~ theme(v0, v1, v4) | ~ proposition(v0, v5) | ~ proposition(v0, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ be(v3, v0, v1, v2) | ~ accessible_world(v3, v4) | be(v4, v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ be(v0, v1, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ of(v0, v3, v1) | ~ of(v0, v2, v1) | ~ entity(v0, v1) | ~ forename(v0, v3) | ~ forename(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ agent(v2, v0, v1) | ~ accessible_world(v2, v3) | agent(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ theme(v2, v0, v1) | ~ accessible_world(v2, v3) | theme(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ of(v2, v0, v1) | ~ accessible_world(v2, v3) | of(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ present(v1, v0) | ~ accessible_world(v1, v2) | present(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ think_believe_consider(v1, v0) | ~ accessible_world(v1, v2) | think_believe_consider(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ smoke(v1, v0) | smoke(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ singleton(v1, v0) | singleton(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ nonexistent(v1, v0) | nonexistent(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ proposition(v1, v0) | proposition(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ nonhuman(v1, v0) | nonhuman(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ general(v1, v0) | general(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ unisex(v1, v0) | unisex(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ abstraction(v1, v0) | abstraction(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ eventuality(v1, v0) | eventuality(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ event(v1, v0) | event(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ state(v1, v0) | state(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ thing(v1, v0) | thing(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ specific(v1, v0) | specific(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ existent(v1, v0) | existent(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ entity(v1, v0) | entity(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ impartial(v1, v0) | impartial(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ living(v1, v0) | living(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ organism(v1, v0) | organism(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ human(v1, v0) | human(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ animate(v1, v0) | animate(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ human_person(v1, v0) | human_person(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ male(v1, v0) | male(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ man(v1, v0) | man(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ relation(v1, v0) | relation(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ relname(v1, v0) | relname(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ vincent_forename(v1, v0) | vincent_forename(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ forename(v1, v0) | forename(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ jules_forename(v1, v0) | jules_forename(v2, v0)) & ! [v0] : ! [v1] : ( ~ smoke(v0, v1) | event(v0, v1)) & ! [v0] : ! [v1] : ( ~ nonexistent(v0, v1) | ~ existent(v0, v1)) & ! [v0] : ! [v1] : ( ~ proposition(v0, v1) | relation(v0, v1)) & ! [v0] : ! [v1] : ( ~ nonhuman(v0, v1) | ~ human(v0, v1)) & ! [v0] : ! [v1] : ( ~ general(v0, v1) | ~ specific(v0, v1)) & ! [v0] : ! [v1] : ( ~ unisex(v0, v1) | ~ male(v0, v1)) & ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | nonhuman(v0, v1)) & ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | general(v0, v1)) & ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | unisex(v0, v1)) & ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | thing(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | nonexistent(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | unisex(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | thing(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | specific(v0, v1)) & ! [v0] : ! [v1] : ( ~ event(v0, v1) | eventuality(v0, v1)) & ! [v0] : ! [v1] : ( ~ state(v0, v1) | eventuality(v0, v1)) & ! [v0] : ! [v1] : ( ~ state(v0, v1) | event(v0, v1)) & ! [v0] : ! [v1] : ( ~ thing(v0, v1) | singleton(v0, v1)) & ! [v0] : ! [v1] : ( ~ entity(v0, v1) | thing(v0, v1)) & ! [v0] : ! [v1] : ( ~ entity(v0, v1) | specific(v0, v1)) & ! [v0] : ! [v1] : ( ~ entity(v0, v1) | existent(v0, v1)) & ! [v0] : ! [v1] : ( ~ organism(v0, v1) | entity(v0, v1)) & ! [v0] : ! [v1] : ( ~ organism(v0, v1) | impartial(v0, v1)) & ! [v0] : ! [v1] : ( ~ organism(v0, v1) | living(v0, v1)) & ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | organism(v0, v1)) & ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | human(v0, v1)) & ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | animate(v0, v1)) & ! [v0] : ! [v1] : ( ~ man(v0, v1) | human_person(v0, v1)) & ! [v0] : ! [v1] : ( ~ man(v0, v1) | male(v0, v1)) & ! [v0] : ! [v1] : ( ~ relation(v0, v1) | abstraction(v0, v1)) & ! [v0] : ! [v1] : ( ~ relname(v0, v1) | relation(v0, v1)) & ! [v0] : ! [v1] : ( ~ vincent_forename(v0, v1) | forename(v0, v1)) & ! [v0] : ! [v1] : ( ~ forename(v0, v1) | relname(v0, v1)) & ! [v0] : ! [v1] : ( ~ jules_forename(v0, v1) | forename(v0, v1)) & ! [v0] : ( ~ man(all_0_3_3, v0) | ? [v1] : (present(all_0_3_3, v1) & agent(all_0_3_3, v1, v0) & smoke(all_0_3_3, v1) & event(all_0_3_3, v1)))
% 6.19/2.05 |
% 6.19/2.05 | Applying alpha-rule on (1) yields:
% 6.19/2.05 | (2) of(all_0_7_7, all_0_2_2, all_0_1_1)
% 6.19/2.05 | (3) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | specific(v0, v1))
% 6.19/2.05 | (4) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | thing(v0, v1))
% 6.19/2.05 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ human_person(v1, v0) | human_person(v2, v0))
% 6.19/2.05 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ agent(v0, v2, v3) | ~ agent(v0, v1, v3) | ~ think_believe_consider(v0, v2) | ~ think_believe_consider(v0, v1) | ~ theme(v0, v2, v5) | ~ theme(v0, v1, v4) | ~ proposition(v0, v5) | ~ proposition(v0, v4))
% 6.19/2.06 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ existent(v1, v0) | existent(v2, v0))
% 6.19/2.06 | (8) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | animate(v0, v1))
% 6.19/2.06 | (9) ! [v0] : ! [v1] : ( ~ relname(v0, v1) | relation(v0, v1))
% 6.19/2.06 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ man(v1, v0) | man(v2, v0))
% 6.19/2.06 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ singleton(v1, v0) | singleton(v2, v0))
% 6.19/2.06 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ abstraction(v1, v0) | abstraction(v2, v0))
% 6.19/2.06 | (13) of(all_0_7_7, all_0_5_5, all_0_6_6)
% 6.19/2.06 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ be(v3, v0, v1, v2) | ~ accessible_world(v3, v4) | be(v4, v0, v1, v2))
% 6.19/2.06 | (15) agent(all_0_7_7, all_0_4_4, all_0_6_6)
% 6.19/2.06 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ think_believe_consider(v1, v0) | ~ accessible_world(v1, v2) | think_believe_consider(v2, v0))
% 6.19/2.06 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ theme(v2, v0, v1) | ~ accessible_world(v2, v3) | theme(v3, v0, v1))
% 6.19/2.06 | (18) ! [v0] : ! [v1] : ( ~ state(v0, v1) | event(v0, v1))
% 6.19/2.06 | (19) ! [v0] : ! [v1] : ( ~ relation(v0, v1) | abstraction(v0, v1))
% 6.19/2.06 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ of(v0, v3, v1) | ~ of(v0, v2, v1) | ~ entity(v0, v1) | ~ forename(v0, v3) | ~ forename(v0, v2))
% 6.19/2.06 | (21) ! [v0] : ! [v1] : ( ~ event(v0, v1) | eventuality(v0, v1))
% 6.19/2.06 | (22) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | entity(v0, v1))
% 6.19/2.06 | (23) event(all_0_7_7, all_0_4_4)
% 6.19/2.06 | (24) ! [v0] : ! [v1] : ( ~ man(v0, v1) | human_person(v0, v1))
% 6.19/2.06 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ vincent_forename(v1, v0) | vincent_forename(v2, v0))
% 6.19/2.06 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ specific(v1, v0) | specific(v2, v0))
% 6.19/2.06 | (27) ! [v0] : ! [v1] : ( ~ unisex(v0, v1) | ~ male(v0, v1))
% 6.19/2.06 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ smoke(v1, v0) | smoke(v2, v0))
% 6.19/2.06 | (29) present(all_0_7_7, all_0_4_4)
% 6.19/2.06 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ event(v1, v0) | event(v2, v0))
% 6.19/2.06 | (31) theme(all_0_7_7, all_0_4_4, all_0_3_3)
% 6.19/2.06 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ animate(v1, v0) | animate(v2, v0))
% 6.19/2.06 | (33) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | general(v0, v1))
% 6.19/2.06 | (34) vincent_forename(all_0_7_7, all_0_5_5)
% 6.19/2.06 | (35) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | nonexistent(v0, v1))
% 6.19/2.06 | (36) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | nonhuman(v0, v1))
% 6.19/2.06 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ nonexistent(v1, v0) | nonexistent(v2, v0))
% 6.19/2.06 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ jules_forename(v1, v0) | jules_forename(v2, v0))
% 6.19/2.06 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ human(v1, v0) | human(v2, v0))
% 6.19/2.06 | (40) ! [v0] : ! [v1] : ( ~ thing(v0, v1) | singleton(v0, v1))
% 6.19/2.06 | (41) ! [v0] : ! [v1] : ( ~ proposition(v0, v1) | relation(v0, v1))
% 6.19/2.06 | (42) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | human(v0, v1))
% 6.19/2.06 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ forename(v1, v0) | forename(v2, v0))
% 6.19/2.06 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ be(v0, v1, v2, v3))
% 6.19/2.06 | (45) jules_forename(all_0_7_7, all_0_2_2)
% 6.19/2.06 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ entity(v1, v0) | entity(v2, v0))
% 6.19/2.06 | (47) man(all_0_7_7, all_0_1_1)
% 6.19/2.07 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ proposition(v1, v0) | proposition(v2, v0))
% 6.19/2.07 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ state(v1, v0) | state(v2, v0))
% 6.19/2.07 | (50) ! [v0] : ! [v1] : ( ~ forename(v0, v1) | relname(v0, v1))
% 6.19/2.07 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ impartial(v1, v0) | impartial(v2, v0))
% 6.19/2.07 | (52) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | impartial(v0, v1))
% 6.19/2.07 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ agent(v2, v0, v1) | ~ accessible_world(v2, v3) | agent(v3, v0, v1))
% 6.19/2.07 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ organism(v1, v0) | organism(v2, v0))
% 6.19/2.07 | (55) ! [v0] : ! [v1] : ( ~ smoke(v0, v1) | event(v0, v1))
% 6.19/2.07 | (56) accessible_world(all_0_7_7, all_0_3_3)
% 6.19/2.07 | (57) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | living(v0, v1))
% 6.19/2.07 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ male(v1, v0) | male(v2, v0))
% 6.19/2.07 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ thing(v1, v0) | thing(v2, v0))
% 6.19/2.07 | (60) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | existent(v0, v1))
% 6.19/2.07 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ of(v2, v0, v1) | ~ accessible_world(v2, v3) | of(v3, v0, v1))
% 6.19/2.07 | (62) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ eventuality(v1, v0) | eventuality(v2, v0))
% 6.19/2.07 | (63) ! [v0] : ! [v1] : ( ~ man(v0, v1) | male(v0, v1))
% 6.19/2.07 | (64) ! [v0] : ! [v1] : ( ~ nonhuman(v0, v1) | ~ human(v0, v1))
% 6.19/2.07 | (65) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | specific(v0, v1))
% 6.62/2.07 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ relation(v1, v0) | relation(v2, v0))
% 6.62/2.07 | (67) actual_world(all_0_7_7)
% 6.62/2.07 | (68) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | organism(v0, v1))
% 6.62/2.07 | (69) think_believe_consider(all_0_7_7, all_0_4_4)
% 6.62/2.07 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ present(v1, v0) | ~ accessible_world(v1, v2) | present(v2, v0))
% 6.62/2.07 | (71) be(all_0_7_7, all_0_0_0, all_0_1_1, all_0_1_1)
% 6.62/2.07 | (72) ! [v0] : ! [v1] : ( ~ general(v0, v1) | ~ specific(v0, v1))
% 6.62/2.07 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ actual_world(v0) | ~ present(v13, v14) | ~ present(v0, v12) | ~ present(v0, v7) | ~ agent(v13, v14, v3) | ~ agent(v0, v12, v1) | ~ agent(v0, v7, v5) | ~ think_believe_consider(v0, v12) | ~ think_believe_consider(v0, v7) | ~ theme(v0, v12, v13) | ~ theme(v0, v7, v8) | ~ be(v0, v11, v10, v10) | ~ of(v0, v9, v10) | ~ of(v0, v6, v5) | ~ of(v0, v4, v3) | ~ of(v0, v2, v1) | ~ accessible_world(v0, v13) | ~ accessible_world(v0, v8) | ~ smoke(v13, v14) | ~ proposition(v0, v13) | ~ proposition(v0, v8) | ~ event(v13, v14) | ~ event(v0, v12) | ~ event(v0, v7) | ~ state(v0, v11) | ~ man(v0, v10) | ~ man(v0, v5) | ~ man(v0, v3) | ~ man(v0, v1) | ~ vincent_forename(v0, v6) | ~ vincent_forename(v0, v2) | ~ forename(v0, v9) | ~ forename(v0, v6) | ~ forename(v0, v4) | ~ forename(v0, v2) | ~ jules_forename(v0, v9) | ~ jules_forename(v0, v4) | ? [v15] : (man(v8, v15) & ! [v16] : ( ~ present(v8, v16) | ~ agent(v8, v16, v15) | ~ smoke(v8, v16) | ~ event(v8, v16))))
% 6.62/2.07 | (74) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | thing(v0, v1))
% 6.62/2.07 | (75) ! [v0] : ! [v1] : ( ~ nonexistent(v0, v1) | ~ existent(v0, v1))
% 6.62/2.07 | (76) ! [v0] : ! [v1] : ( ~ state(v0, v1) | eventuality(v0, v1))
% 6.62/2.07 | (77) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ relname(v1, v0) | relname(v2, v0))
% 6.62/2.07 | (78) ! [v0] : ! [v1] : ( ~ jules_forename(v0, v1) | forename(v0, v1))
% 6.62/2.07 | (79) state(all_0_7_7, all_0_0_0)
% 6.62/2.08 | (80) man(all_0_7_7, all_0_6_6)
% 6.62/2.08 | (81) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ living(v1, v0) | living(v2, v0))
% 6.62/2.08 | (82) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ nonhuman(v1, v0) | nonhuman(v2, v0))
% 6.62/2.08 | (83) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ unisex(v1, v0) | unisex(v2, v0))
% 6.62/2.08 | (84) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | thing(v0, v1))
% 6.62/2.08 | (85) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | unisex(v0, v1))
% 6.62/2.08 | (86) forename(all_0_7_7, all_0_2_2)
% 6.62/2.08 | (87) proposition(all_0_7_7, all_0_3_3)
% 6.62/2.08 | (88) forename(all_0_7_7, all_0_5_5)
% 6.62/2.08 | (89) ! [v0] : ( ~ man(all_0_3_3, v0) | ? [v1] : (present(all_0_3_3, v1) & agent(all_0_3_3, v1, v0) & smoke(all_0_3_3, v1) & event(all_0_3_3, v1)))
% 6.62/2.08 | (90) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | unisex(v0, v1))
% 6.62/2.08 | (91) ! [v0] : ! [v1] : ! [v2] : ( ~ accessible_world(v1, v2) | ~ general(v1, v0) | general(v2, v0))
% 6.62/2.08 | (92) ! [v0] : ! [v1] : ( ~ vincent_forename(v0, v1) | forename(v0, v1))
% 6.62/2.08 |
% 6.62/2.08 | Instantiating formula (10) with all_0_3_3, all_0_7_7, all_0_1_1 and discharging atoms accessible_world(all_0_7_7, all_0_3_3), man(all_0_7_7, all_0_1_1), yields:
% 6.62/2.08 | (93) man(all_0_3_3, all_0_1_1)
% 6.62/2.08 |
% 6.62/2.08 | Instantiating formula (89) with all_0_1_1 and discharging atoms man(all_0_3_3, all_0_1_1), yields:
% 6.62/2.08 | (94) ? [v0] : (present(all_0_3_3, v0) & agent(all_0_3_3, v0, all_0_1_1) & smoke(all_0_3_3, v0) & event(all_0_3_3, v0))
% 6.62/2.08 |
% 6.62/2.08 | Instantiating (94) with all_17_0_9 yields:
% 6.62/2.08 | (95) present(all_0_3_3, all_17_0_9) & agent(all_0_3_3, all_17_0_9, all_0_1_1) & smoke(all_0_3_3, all_17_0_9) & event(all_0_3_3, all_17_0_9)
% 6.62/2.08 |
% 6.62/2.08 | Applying alpha-rule on (95) yields:
% 6.62/2.08 | (96) present(all_0_3_3, all_17_0_9)
% 6.62/2.08 | (97) agent(all_0_3_3, all_17_0_9, all_0_1_1)
% 6.62/2.08 | (98) smoke(all_0_3_3, all_17_0_9)
% 6.62/2.08 | (99) event(all_0_3_3, all_17_0_9)
% 6.62/2.08 |
% 6.62/2.08 | Instantiating formula (73) with all_17_0_9, all_0_3_3, all_0_4_4, 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_2_2, all_0_1_1, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms actual_world(all_0_7_7), present(all_0_3_3, all_17_0_9), present(all_0_7_7, all_0_4_4), agent(all_0_3_3, all_17_0_9, all_0_1_1), agent(all_0_7_7, all_0_4_4, all_0_6_6), think_believe_consider(all_0_7_7, all_0_4_4), theme(all_0_7_7, all_0_4_4, all_0_3_3), be(all_0_7_7, all_0_0_0, all_0_1_1, all_0_1_1), of(all_0_7_7, all_0_2_2, all_0_1_1), of(all_0_7_7, all_0_5_5, all_0_6_6), accessible_world(all_0_7_7, all_0_3_3), smoke(all_0_3_3, all_17_0_9), proposition(all_0_7_7, all_0_3_3), event(all_0_3_3, all_17_0_9), event(all_0_7_7, all_0_4_4), state(all_0_7_7, all_0_0_0), man(all_0_7_7, all_0_1_1), man(all_0_7_7, all_0_6_6), vincent_forename(all_0_7_7, all_0_5_5), forename(all_0_7_7, all_0_2_2), forename(all_0_7_7, all_0_5_5), jules_forename(all_0_7_7, all_0_2_2), yields:
% 6.62/2.08 | (100) ? [v0] : (man(all_0_3_3, v0) & ! [v1] : ( ~ present(all_0_3_3, v1) | ~ agent(all_0_3_3, v1, v0) | ~ smoke(all_0_3_3, v1) | ~ event(all_0_3_3, v1)))
% 6.62/2.08 |
% 6.62/2.08 | Instantiating (100) with all_25_0_10 yields:
% 6.62/2.08 | (101) man(all_0_3_3, all_25_0_10) & ! [v0] : ( ~ present(all_0_3_3, v0) | ~ agent(all_0_3_3, v0, all_25_0_10) | ~ smoke(all_0_3_3, v0) | ~ event(all_0_3_3, v0))
% 6.62/2.08 |
% 6.62/2.08 | Applying alpha-rule on (101) yields:
% 6.62/2.08 | (102) man(all_0_3_3, all_25_0_10)
% 6.62/2.08 | (103) ! [v0] : ( ~ present(all_0_3_3, v0) | ~ agent(all_0_3_3, v0, all_25_0_10) | ~ smoke(all_0_3_3, v0) | ~ event(all_0_3_3, v0))
% 6.62/2.08 |
% 6.62/2.08 | Instantiating formula (89) with all_25_0_10 and discharging atoms man(all_0_3_3, all_25_0_10), yields:
% 6.62/2.08 | (104) ? [v0] : (present(all_0_3_3, v0) & agent(all_0_3_3, v0, all_25_0_10) & smoke(all_0_3_3, v0) & event(all_0_3_3, v0))
% 6.62/2.08 |
% 6.62/2.08 | Instantiating (104) with all_34_0_11 yields:
% 6.62/2.08 | (105) present(all_0_3_3, all_34_0_11) & agent(all_0_3_3, all_34_0_11, all_25_0_10) & smoke(all_0_3_3, all_34_0_11) & event(all_0_3_3, all_34_0_11)
% 6.62/2.09 |
% 6.62/2.09 | Applying alpha-rule on (105) yields:
% 6.62/2.09 | (106) present(all_0_3_3, all_34_0_11)
% 6.62/2.09 | (107) agent(all_0_3_3, all_34_0_11, all_25_0_10)
% 6.62/2.09 | (108) smoke(all_0_3_3, all_34_0_11)
% 6.62/2.09 | (109) event(all_0_3_3, all_34_0_11)
% 6.62/2.09 |
% 6.62/2.09 | Instantiating formula (103) with all_34_0_11 and discharging atoms present(all_0_3_3, all_34_0_11), agent(all_0_3_3, all_34_0_11, all_25_0_10), smoke(all_0_3_3, all_34_0_11), event(all_0_3_3, all_34_0_11), yields:
% 6.62/2.09 | (110) $false
% 6.62/2.09 |
% 6.62/2.09 |-The branch is then unsatisfiable
% 6.62/2.09 % SZS output end Proof for theBenchmark
% 6.62/2.09
% 6.62/2.09 1493ms
%------------------------------------------------------------------------------