TSTP Solution File: PRO017+2 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PRO017+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 17:44:02 EDT 2022
% Result : Theorem 46.75s 15.78s
% Output : Proof 115.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO017+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 02:33:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.59 ____ _
% 0.20/0.59 ___ / __ \_____(_)___ ________ __________
% 0.20/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.20/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.20/0.59
% 0.20/0.59 A Theorem Prover for First-Order Logic
% 0.20/0.59 (ePrincess v.1.0)
% 0.20/0.59
% 0.20/0.59 (c) Philipp Rümmer, 2009-2015
% 0.20/0.59 (c) Peter Backeman, 2014-2015
% 0.20/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.59 Bug reports to peter@backeman.se
% 0.20/0.59
% 0.20/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.59
% 0.20/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.69/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.76/1.02 Prover 0: Preprocessing ...
% 2.42/1.25 Prover 0: Constructing countermodel ...
% 20.65/5.95 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.95/6.02 Prover 1: Preprocessing ...
% 21.86/6.20 Prover 1: Constructing countermodel ...
% 31.49/8.55 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 31.49/8.60 Prover 2: Preprocessing ...
% 32.44/8.75 Prover 2: Warning: ignoring some quantifiers
% 32.44/8.76 Prover 2: Constructing countermodel ...
% 39.78/11.60 Prover 0: stopped
% 40.36/11.81 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 40.36/11.85 Prover 3: Preprocessing ...
% 40.36/11.88 Prover 3: Constructing countermodel ...
% 46.75/15.78 Prover 3: proved (3974ms)
% 46.75/15.78 Prover 2: stopped
% 46.75/15.78 Prover 1: stopped
% 46.75/15.78
% 46.75/15.78 No countermodel exists, formula is valid
% 46.75/15.78 % SZS status Theorem for theBenchmark
% 46.75/15.78
% 46.75/15.78 Generating proof ... found it (size 281)
% 114.79/69.28
% 114.79/69.28 % SZS output start Proof for theBenchmark
% 114.79/69.28 Assumed formulas after preprocessing and simplification:
% 114.79/69.28 | (0) ? [v0] : ? [v1] : ( ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & activity(tptp0) & subactivity_occurrence(v0, v1) & arboreal(v0) & atomic(tptp1) & atomic(tptp2) & atomic(tptp4) & atomic(tptp3) & occurrence_of(v1, tptp0) & ~ leaf_occ(v0, v1) & ~ atomic(tptp0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ subactivity_occurrence(v5, v3) | ~ subactivity_occurrence(v4, v3) | ~ arboreal(v5) | ~ arboreal(v4) | ~ occurrence_of(v3, v2) | min_precedes(v5, v4, v2) | min_precedes(v4, v5, v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ leaf_occ(v3, v4) | ~ leaf_occ(v2, v4) | ~ occurrence_of(v4, v5) | atomic(v5)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ root_occ(v3, v4) | ~ root_occ(v2, v4) | ~ occurrence_of(v4, v5)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ next_subocc(v2, v3, v4) | ~ min_precedes(v5, v3, v4) | ~ min_precedes(v2, v5, v4)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ leaf_occ(v3, v2) | ~ occurrence_of(v2, v4) | ~ min_precedes(v3, v5, v4)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ root_occ(v3, v2) | ~ occurrence_of(v2, v4) | ~ min_precedes(v5, v3, v4)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v3, v4, v5) | ~ min_precedes(v2, v3, v5) | min_precedes(v2, v4, v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ occurrence_of(v2, v4) | ~ occurrence_of(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ subactivity(v3, v4) | ~ atomic(v4) | ~ occurrence_of(v2, v4) | atocc(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ leaf(v2, v4) | ~ subactivity_occurrence(v2, v3) | ~ occurrence_of(v3, v4) | leaf_occ(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ leaf(v2, v3) | ~ min_precedes(v2, v4, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ subactivity_occurrence(v2, v3) | ~ root(v2, v4) | ~ occurrence_of(v3, v4) | root_occ(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ root(v3, v4) | ~ min_precedes(v2, v3, v4)) & ! [v2] : ! [v3] : ! [v4] : ( ~ next_subocc(v2, v3, v4) | arboreal(v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ next_subocc(v2, v3, v4) | arboreal(v2)) & ! [v2] : ! [v3] : ! [v4] : ( ~ next_subocc(v2, v3, v4) | min_precedes(v2, v3, v4)) & ! [v2] : ! [v3] : ! [v4] : ( ~ earlier(v3, v4) | ~ earlier(v2, v3) | earlier(v2, v4)) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v4, v2, v3) | leaf(v2, v3) | ? [v5] : min_precedes(v2, v5, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v3, v4, v2) | ? [v5] : ? [v6] : (subactivity(v6, v2) & subactivity(v5, v2) & atocc(v4, v6) & atocc(v3, v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v3, v4, v2) | ? [v5] : (subactivity_occurrence(v4, v5) & subactivity_occurrence(v3, v5) & occurrence_of(v5, v2))) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v2, v3, v4) | precedes(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v2, v3, v4) | next_subocc(v2, v3, v4) | ? [v5] : (min_precedes(v5, v3, v4) & min_precedes(v2, v5, v4))) & ! [v2] : ! [v3] : ( ~ atocc(v2, v3) | ~ legal(v2) | root(v2, v3)) & ! [v2] : ! [v3] : ( ~ atocc(v2, v3) | ? [v4] : (subactivity(v3, v4) & atomic(v4) & occurrence_of(v2, v4))) & ! [v2] : ! [v3] : ( ~ leaf(v3, tptp0) | ~ next_subocc(v0, v2, tptp0) | ~ occurrence_of(v3, tptp1) | ~ occurrence_of(v2, tptp3) | ~ min_precedes(v2, v3, tptp0)) & ! [v2] : ! [v3] : ( ~ leaf(v3, tptp0) | ~ next_subocc(v0, v2, tptp0) | ~ occurrence_of(v3, tptp2) | ~ occurrence_of(v2, tptp3) | ~ min_precedes(v2, v3, tptp0)) & ! [v2] : ! [v3] : ( ~ leaf(v2, v3) | root(v2, v3) | ? [v4] : min_precedes(v4, v2, v3)) & ! [v2] : ! [v3] : ( ~ leaf(v2, v3) | atomic(v3) | ? [v4] : (leaf_occ(v2, v4) & occurrence_of(v4, v3))) & ! [v2] : ! [v3] : ( ~ subactivity_occurrence(v2, v3) | ~ arboreal(v2) | ~ occurrence_of(v3, tptp0) | leaf_occ(v2, v3) | ? [v4] : ? [v5] : ? [v6] : (next_subocc(v2, v4, tptp0) & occurrence_of(v5, tptp4) & occurrence_of(v4, tptp3) & min_precedes(v5, v6, tptp0) & min_precedes(v4, v5, tptp0) & ! [v7] : (v7 = v6 | v7 = v5 | ~ min_precedes(v4, v7, tptp0)) & (occurrence_of(v6, tptp1) | occurrence_of(v6, tptp2)))) & ! [v2] : ! [v3] : ( ~ subactivity_occurrence(v2, v3) | activity_occurrence(v3)) & ! [v2] : ! [v3] : ( ~ subactivity_occurrence(v2, v3) | activity_occurrence(v2)) & ! [v2] : ! [v3] : ( ~ legal(v3) | ~ earlier(v2, v3) | precedes(v2, v3)) & ! [v2] : ! [v3] : ( ~ root(v3, v2) | ? [v4] : (subactivity(v4, v2) & atocc(v3, v4))) & ! [v2] : ! [v3] : ( ~ root(v2, v3) | leaf(v2, v3) | ? [v4] : min_precedes(v2, v4, v3)) & ! [v2] : ! [v3] : ( ~ root(v2, v3) | legal(v2)) & ! [v2] : ! [v3] : ( ~ precedes(v2, v3) | legal(v3)) & ! [v2] : ! [v3] : ( ~ precedes(v2, v3) | earlier(v2, v3)) & ! [v2] : ! [v3] : ( ~ arboreal(v2) | ~ occurrence_of(v2, v3) | atomic(v3)) & ! [v2] : ! [v3] : ( ~ leaf_occ(v2, v3) | ? [v4] : (leaf(v2, v4) & subactivity_occurrence(v2, v3) & occurrence_of(v3, v4))) & ! [v2] : ! [v3] : ( ~ atomic(v3) | ~ occurrence_of(v2, v3) | arboreal(v2)) & ! [v2] : ! [v3] : ( ~ root_occ(v2, v3) | ? [v4] : (subactivity_occurrence(v2, v3) & root(v2, v4) & occurrence_of(v3, v4))) & ! [v2] : ! [v3] : ( ~ occurrence_of(v3, v2) | activity(v2)) & ! [v2] : ! [v3] : ( ~ occurrence_of(v3, v2) | activity_occurrence(v3)) & ! [v2] : ! [v3] : ( ~ occurrence_of(v3, v2) | atomic(v2) | ? [v4] : (subactivity_occurrence(v4, v3) & root(v4, v2))) & ! [v2] : ! [v3] : ( ~ earlier(v3, v2) | ~ earlier(v2, v3)) & ! [v2] : ( ~ activity(v2) | subactivity(v2, v2)) & ! [v2] : ( ~ activity_occurrence(v2) | ? [v3] : (activity(v3) & occurrence_of(v2, v3))) & ! [v2] : ( ~ legal(v2) | arboreal(v2)))
% 114.79/69.30 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 114.79/69.30 | (1) ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & activity(tptp0) & subactivity_occurrence(all_0_1_1, all_0_0_0) & arboreal(all_0_1_1) & atomic(tptp1) & atomic(tptp2) & atomic(tptp4) & atomic(tptp3) & occurrence_of(all_0_0_0, tptp0) & ~ leaf_occ(all_0_1_1, all_0_0_0) & ~ atomic(tptp0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ arboreal(v3) | ~ arboreal(v2) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ leaf_occ(v1, v2) | ~ leaf_occ(v0, v2) | ~ occurrence_of(v2, v3) | atomic(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ root_occ(v1, v2) | ~ root_occ(v0, v2) | ~ occurrence_of(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v0, v1, v2) | ~ min_precedes(v3, v1, v2) | ~ min_precedes(v0, v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2) | ~ min_precedes(v1, v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2) | ~ min_precedes(v3, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v0, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v2) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, v2) | leaf_occ(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v1) | ~ min_precedes(v0, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ root(v1, v2) | ~ min_precedes(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ earlier(v0, v1) | earlier(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : ? [v4] : (subactivity(v4, v0) & subactivity(v3, v0) & atocc(v2, v4) & atocc(v1, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2))) & ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ~ legal(v0) | root(v0, v1)) & ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2))) & ! [v0] : ! [v1] : ( ~ leaf(v1, tptp0) | ~ next_subocc(all_0_1_1, v0, tptp0) | ~ occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3) | ~ min_precedes(v0, v1, tptp0)) & ! [v0] : ! [v1] : ( ~ leaf(v1, tptp0) | ~ next_subocc(all_0_1_1, v0, tptp0) | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0, tptp3) | ~ min_precedes(v0, v1, tptp0)) & ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) | ? [v2] : min_precedes(v2, v0, v1)) & ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) | ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1))) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | ~ arboreal(v0) | ~ occurrence_of(v1, tptp0) | leaf_occ(v0, v1) | ? [v2] : ? [v3] : ? [v4] : (next_subocc(v0, v2, tptp0) & occurrence_of(v3, tptp4) & occurrence_of(v2, tptp3) & min_precedes(v3, v4, tptp0) & min_precedes(v2, v3, tptp0) & ! [v5] : (v5 = v4 | v5 = v3 | ~ min_precedes(v2, v5, tptp0)) & (occurrence_of(v4, tptp1) | occurrence_of(v4, tptp2)))) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0)) & ! [v0] : ! [v1] : ( ~ legal(v1) | ~ earlier(v0, v1) | precedes(v0, v1)) & ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (subactivity(v2, v0) & atocc(v1, v2))) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1)) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0)) & ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1)) & ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1)) & ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ occurrence_of(v0, v1) | atomic(v1)) & ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2))) & ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0)) & ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2))) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0))) & ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1)) & ! [v0] : ( ~ activity(v0) | subactivity(v0, v0)) & ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1))) & ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 115.10/69.31 |
% 115.10/69.31 | Applying alpha-rule on (1) yields:
% 115.10/69.31 | (2) ~ (tptp2 = tptp4)
% 115.10/69.31 | (3) subactivity_occurrence(all_0_1_1, all_0_0_0)
% 115.10/69.31 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0)))
% 115.10/69.32 | (5) ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ occurrence_of(v0, v1) | atomic(v1))
% 115.10/69.32 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ earlier(v0, v1) | earlier(v0, v2))
% 115.10/69.32 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v1) | ~ min_precedes(v0, v2, v1))
% 115.10/69.32 | (8) arboreal(all_0_1_1)
% 115.10/69.32 | (9) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0))
% 115.10/69.32 | (10) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | ~ arboreal(v0) | ~ occurrence_of(v1, tptp0) | leaf_occ(v0, v1) | ? [v2] : ? [v3] : ? [v4] : (next_subocc(v0, v2, tptp0) & occurrence_of(v3, tptp4) & occurrence_of(v2, tptp3) & min_precedes(v3, v4, tptp0) & min_precedes(v2, v3, tptp0) & ! [v5] : (v5 = v4 | v5 = v3 | ~ min_precedes(v2, v5, tptp0)) & (occurrence_of(v4, tptp1) | occurrence_of(v4, tptp2))))
% 115.10/69.32 | (11) ! [v0] : ! [v1] : ( ~ leaf(v1, tptp0) | ~ next_subocc(all_0_1_1, v0, tptp0) | ~ occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3) | ~ min_precedes(v0, v1, tptp0))
% 115.10/69.32 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ root(v1, v2) | ~ min_precedes(v0, v1, v2))
% 115.10/69.32 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1))
% 115.10/69.32 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2)))
% 115.10/69.32 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1))
% 115.10/69.32 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1))
% 115.10/69.32 | (17) ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 115.10/69.32 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : ? [v4] : (subactivity(v4, v0) & subactivity(v3, v0) & atocc(v2, v4) & atocc(v1, v3)))
% 115.10/69.32 | (19) atomic(tptp2)
% 115.10/69.32 | (20) ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (subactivity(v2, v0) & atocc(v1, v2)))
% 115.10/69.32 | (21) ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2)))
% 115.10/69.32 | (22) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1))
% 115.10/69.32 | (23) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1))
% 115.10/69.32 | (24) ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0))
% 115.10/69.32 | (25) ~ (tptp2 = tptp3)
% 115.10/69.32 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ arboreal(v3) | ~ arboreal(v2) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0))
% 115.10/69.32 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1))
% 115.10/69.32 | (28) atomic(tptp3)
% 115.10/69.32 | (29) ~ (tptp1 = tptp4)
% 115.10/69.32 | (30) ! [v0] : ! [v1] : ( ~ legal(v1) | ~ earlier(v0, v1) | precedes(v0, v1))
% 115.10/69.32 | (31) ~ atomic(tptp0)
% 115.10/69.32 | (32) atomic(tptp4)
% 115.10/69.32 | (33) ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0))
% 115.10/69.32 | (34) ! [v0] : ! [v1] : ( ~ leaf(v1, tptp0) | ~ next_subocc(all_0_1_1, v0, tptp0) | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0, tptp3) | ~ min_precedes(v0, v1, tptp0))
% 115.10/69.32 | (35) ~ (tptp1 = tptp2)
% 115.10/69.32 | (36) ~ (tptp4 = tptp3)
% 115.10/69.32 | (37) ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2)))
% 115.10/69.32 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2))
% 115.10/69.32 | (39) ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1)))
% 115.10/69.32 | (40) ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1))
% 115.10/69.32 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v0, v2, v3))
% 115.10/69.32 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v2) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, v2) | leaf_occ(v0, v1))
% 115.10/69.32 | (43) ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2)))
% 115.10/69.32 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2) | ~ min_precedes(v3, v1, v2))
% 115.10/69.32 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1))
% 115.10/69.32 | (46) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1))
% 115.10/69.32 | (47) ! [v0] : ( ~ activity(v0) | subactivity(v0, v0))
% 115.10/69.32 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ root_occ(v1, v2) | ~ root_occ(v0, v2) | ~ occurrence_of(v2, v3))
% 115.10/69.32 | (49) ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ~ legal(v0) | root(v0, v1))
% 115.10/69.32 | (50) ~ leaf_occ(all_0_1_1, all_0_0_0)
% 115.10/69.32 | (51) atomic(tptp1)
% 115.10/69.33 | (52) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) | ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1)))
% 115.10/69.33 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ leaf_occ(v1, v2) | ~ leaf_occ(v0, v2) | ~ occurrence_of(v2, v3) | atomic(v3))
% 115.10/69.33 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0))
% 115.10/69.33 | (55) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1))
% 115.10/69.33 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v0, v1, v2) | ~ min_precedes(v3, v1, v2) | ~ min_precedes(v0, v3, v2))
% 115.10/69.33 | (57) ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1))
% 115.10/69.33 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1))
% 115.10/69.33 | (59) occurrence_of(all_0_0_0, tptp0)
% 115.10/69.33 | (60) ~ (tptp1 = tptp3)
% 115.10/69.33 | (61) activity(tptp0)
% 115.10/69.33 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2) | ~ min_precedes(v1, v3, v2))
% 115.10/69.33 | (63) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0))
% 115.10/69.33 | (64) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0)))
% 115.10/69.33 | (65) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) | ? [v2] : min_precedes(v2, v0, v1))
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (10) with all_0_0_0, all_0_1_1 and discharging atoms subactivity_occurrence(all_0_1_1, all_0_0_0), arboreal(all_0_1_1), occurrence_of(all_0_0_0, tptp0), ~ leaf_occ(all_0_1_1, all_0_0_0), yields:
% 115.10/69.33 | (66) ? [v0] : ? [v1] : ? [v2] : (next_subocc(all_0_1_1, v0, tptp0) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & min_precedes(v1, v2, tptp0) & min_precedes(v0, v1, tptp0) & ! [v3] : (v3 = v2 | v3 = v1 | ~ min_precedes(v0, v3, tptp0)) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 115.10/69.33 |
% 115.10/69.33 | Instantiating (66) with all_15_0_3, all_15_1_4, all_15_2_5 yields:
% 115.10/69.33 | (67) next_subocc(all_0_1_1, all_15_2_5, tptp0) & occurrence_of(all_15_1_4, tptp4) & occurrence_of(all_15_2_5, tptp3) & min_precedes(all_15_1_4, all_15_0_3, tptp0) & min_precedes(all_15_2_5, all_15_1_4, tptp0) & ! [v0] : (v0 = all_15_0_3 | v0 = all_15_1_4 | ~ min_precedes(all_15_2_5, v0, tptp0)) & (occurrence_of(all_15_0_3, tptp1) | occurrence_of(all_15_0_3, tptp2))
% 115.10/69.33 |
% 115.10/69.33 | Applying alpha-rule on (67) yields:
% 115.10/69.33 | (68) next_subocc(all_0_1_1, all_15_2_5, tptp0)
% 115.10/69.33 | (69) occurrence_of(all_15_2_5, tptp3)
% 115.10/69.33 | (70) ! [v0] : (v0 = all_15_0_3 | v0 = all_15_1_4 | ~ min_precedes(all_15_2_5, v0, tptp0))
% 115.10/69.33 | (71) occurrence_of(all_15_1_4, tptp4)
% 115.10/69.33 | (72) min_precedes(all_15_1_4, all_15_0_3, tptp0)
% 115.10/69.33 | (73) min_precedes(all_15_2_5, all_15_1_4, tptp0)
% 115.10/69.33 | (74) occurrence_of(all_15_0_3, tptp1) | occurrence_of(all_15_0_3, tptp2)
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (38) with tptp0, all_15_2_5, all_0_1_1 and discharging atoms next_subocc(all_0_1_1, all_15_2_5, tptp0), yields:
% 115.10/69.33 | (75) min_precedes(all_0_1_1, all_15_2_5, tptp0)
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (24) with tptp3, all_15_2_5 and discharging atoms atomic(tptp3), occurrence_of(all_15_2_5, tptp3), yields:
% 115.10/69.33 | (76) arboreal(all_15_2_5)
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (55) with all_15_2_5, tptp3 and discharging atoms occurrence_of(all_15_2_5, tptp3), yields:
% 115.10/69.33 | (77) activity_occurrence(all_15_2_5)
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (18) with all_15_0_3, all_15_1_4, tptp0 and discharging atoms min_precedes(all_15_1_4, all_15_0_3, tptp0), yields:
% 115.10/69.33 | (78) ? [v0] : ? [v1] : (subactivity(v1, tptp0) & subactivity(v0, tptp0) & atocc(all_15_0_3, v1) & atocc(all_15_1_4, v0))
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (4) with all_15_0_3, all_15_1_4, tptp0 and discharging atoms min_precedes(all_15_1_4, all_15_0_3, tptp0), yields:
% 115.10/69.33 | (79) ? [v0] : (subactivity_occurrence(all_15_0_3, v0) & subactivity_occurrence(all_15_1_4, v0) & occurrence_of(v0, tptp0))
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (15) with tptp0, all_15_0_3, all_15_1_4 and discharging atoms min_precedes(all_15_1_4, all_15_0_3, tptp0), yields:
% 115.10/69.33 | (80) precedes(all_15_1_4, all_15_0_3)
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (14) with tptp0, all_15_0_3, all_15_1_4 and discharging atoms min_precedes(all_15_1_4, all_15_0_3, tptp0), yields:
% 115.10/69.33 | (81) next_subocc(all_15_1_4, all_15_0_3, tptp0) | ? [v0] : (min_precedes(v0, all_15_0_3, tptp0) & min_precedes(all_15_1_4, v0, tptp0))
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (41) with tptp0, all_15_0_3, all_15_1_4, all_15_2_5 and discharging atoms min_precedes(all_15_1_4, all_15_0_3, tptp0), min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.10/69.33 | (82) min_precedes(all_15_2_5, all_15_0_3, tptp0)
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (18) with all_15_1_4, all_15_2_5, tptp0 and discharging atoms min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.10/69.33 | (83) ? [v0] : ? [v1] : (subactivity(v1, tptp0) & subactivity(v0, tptp0) & atocc(all_15_1_4, v1) & atocc(all_15_2_5, v0))
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (4) with all_15_1_4, all_15_2_5, tptp0 and discharging atoms min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.10/69.33 | (84) ? [v0] : (subactivity_occurrence(all_15_1_4, v0) & subactivity_occurrence(all_15_2_5, v0) & occurrence_of(v0, tptp0))
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (15) with tptp0, all_15_1_4, all_15_2_5 and discharging atoms min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.10/69.33 | (85) precedes(all_15_2_5, all_15_1_4)
% 115.10/69.33 |
% 115.10/69.33 | Instantiating formula (14) with tptp0, all_15_1_4, all_15_2_5 and discharging atoms min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.10/69.33 | (86) next_subocc(all_15_2_5, all_15_1_4, tptp0) | ? [v0] : (min_precedes(v0, all_15_1_4, tptp0) & min_precedes(all_15_2_5, v0, tptp0))
% 115.10/69.33 |
% 115.10/69.33 | Instantiating (78) with all_46_0_7, all_46_1_8 yields:
% 115.10/69.33 | (87) subactivity(all_46_0_7, tptp0) & subactivity(all_46_1_8, tptp0) & atocc(all_15_0_3, all_46_0_7) & atocc(all_15_1_4, all_46_1_8)
% 115.10/69.33 |
% 115.10/69.33 | Applying alpha-rule on (87) yields:
% 115.10/69.33 | (88) subactivity(all_46_0_7, tptp0)
% 115.10/69.33 | (89) subactivity(all_46_1_8, tptp0)
% 115.10/69.33 | (90) atocc(all_15_0_3, all_46_0_7)
% 115.10/69.34 | (91) atocc(all_15_1_4, all_46_1_8)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating (84) with all_48_0_9 yields:
% 115.10/69.34 | (92) subactivity_occurrence(all_15_1_4, all_48_0_9) & subactivity_occurrence(all_15_2_5, all_48_0_9) & occurrence_of(all_48_0_9, tptp0)
% 115.10/69.34 |
% 115.10/69.34 | Applying alpha-rule on (92) yields:
% 115.10/69.34 | (93) subactivity_occurrence(all_15_1_4, all_48_0_9)
% 115.10/69.34 | (94) subactivity_occurrence(all_15_2_5, all_48_0_9)
% 115.10/69.34 | (95) occurrence_of(all_48_0_9, tptp0)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating (83) with all_50_0_10, all_50_1_11 yields:
% 115.10/69.34 | (96) subactivity(all_50_0_10, tptp0) & subactivity(all_50_1_11, tptp0) & atocc(all_15_1_4, all_50_0_10) & atocc(all_15_2_5, all_50_1_11)
% 115.10/69.34 |
% 115.10/69.34 | Applying alpha-rule on (96) yields:
% 115.10/69.34 | (97) subactivity(all_50_0_10, tptp0)
% 115.10/69.34 | (98) subactivity(all_50_1_11, tptp0)
% 115.10/69.34 | (99) atocc(all_15_1_4, all_50_0_10)
% 115.10/69.34 | (100) atocc(all_15_2_5, all_50_1_11)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating (79) with all_52_0_12 yields:
% 115.10/69.34 | (101) subactivity_occurrence(all_15_0_3, all_52_0_12) & subactivity_occurrence(all_15_1_4, all_52_0_12) & occurrence_of(all_52_0_12, tptp0)
% 115.10/69.34 |
% 115.10/69.34 | Applying alpha-rule on (101) yields:
% 115.10/69.34 | (102) subactivity_occurrence(all_15_0_3, all_52_0_12)
% 115.10/69.34 | (103) subactivity_occurrence(all_15_1_4, all_52_0_12)
% 115.10/69.34 | (104) occurrence_of(all_52_0_12, tptp0)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (39) with all_15_2_5 and discharging atoms activity_occurrence(all_15_2_5), yields:
% 115.10/69.34 | (105) ? [v0] : (activity(v0) & occurrence_of(all_15_2_5, v0))
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (21) with all_46_0_7, all_15_0_3 and discharging atoms atocc(all_15_0_3, all_46_0_7), yields:
% 115.10/69.34 | (106) ? [v0] : (subactivity(all_46_0_7, v0) & atomic(v0) & occurrence_of(all_15_0_3, v0))
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (21) with all_50_1_11, all_15_2_5 and discharging atoms atocc(all_15_2_5, all_50_1_11), yields:
% 115.10/69.34 | (107) ? [v0] : (subactivity(all_50_1_11, v0) & atomic(v0) & occurrence_of(all_15_2_5, v0))
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (63) with all_52_0_12, all_15_0_3 and discharging atoms subactivity_occurrence(all_15_0_3, all_52_0_12), yields:
% 115.10/69.34 | (108) activity_occurrence(all_15_0_3)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (23) with all_15_0_3, all_15_1_4 and discharging atoms precedes(all_15_1_4, all_15_0_3), yields:
% 115.10/69.34 | (109) earlier(all_15_1_4, all_15_0_3)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (22) with all_15_1_4, all_15_2_5 and discharging atoms precedes(all_15_2_5, all_15_1_4), yields:
% 115.10/69.34 | (110) legal(all_15_1_4)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (10) with all_48_0_9, all_15_2_5 and discharging atoms subactivity_occurrence(all_15_2_5, all_48_0_9), arboreal(all_15_2_5), occurrence_of(all_48_0_9, tptp0), yields:
% 115.10/69.34 | (111) leaf_occ(all_15_2_5, all_48_0_9) | ? [v0] : ? [v1] : ? [v2] : (next_subocc(all_15_2_5, v0, tptp0) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & min_precedes(v1, v2, tptp0) & min_precedes(v0, v1, tptp0) & ! [v3] : (v3 = v2 | v3 = v1 | ~ min_precedes(v0, v3, tptp0)) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (55) with all_48_0_9, tptp0 and discharging atoms occurrence_of(all_48_0_9, tptp0), yields:
% 115.10/69.34 | (112) activity_occurrence(all_48_0_9)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (64) with all_48_0_9, tptp0 and discharging atoms occurrence_of(all_48_0_9, tptp0), ~ atomic(tptp0), yields:
% 115.10/69.34 | (113) ? [v0] : (subactivity_occurrence(v0, all_48_0_9) & root(v0, tptp0))
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (18) with all_15_0_3, all_15_2_5, tptp0 and discharging atoms min_precedes(all_15_2_5, all_15_0_3, tptp0), yields:
% 115.10/69.34 | (114) ? [v0] : ? [v1] : (subactivity(v1, tptp0) & subactivity(v0, tptp0) & atocc(all_15_0_3, v1) & atocc(all_15_2_5, v0))
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (41) with tptp0, all_15_1_4, all_15_2_5, all_0_1_1 and discharging atoms min_precedes(all_15_2_5, all_15_1_4, tptp0), min_precedes(all_0_1_1, all_15_2_5, tptp0), yields:
% 115.10/69.34 | (115) min_precedes(all_0_1_1, all_15_1_4, tptp0)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (41) with tptp0, all_15_0_3, all_15_2_5, all_0_1_1 and discharging atoms min_precedes(all_15_2_5, all_15_0_3, tptp0), min_precedes(all_0_1_1, all_15_2_5, tptp0), yields:
% 115.10/69.34 | (116) min_precedes(all_0_1_1, all_15_0_3, tptp0)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (18) with all_15_2_5, all_0_1_1, tptp0 and discharging atoms min_precedes(all_0_1_1, all_15_2_5, tptp0), yields:
% 115.10/69.34 | (117) ? [v0] : ? [v1] : (subactivity(v1, tptp0) & subactivity(v0, tptp0) & atocc(all_15_2_5, v1) & atocc(all_0_1_1, v0))
% 115.10/69.34 |
% 115.10/69.34 | Instantiating (114) with all_84_0_17, all_84_1_18 yields:
% 115.10/69.34 | (118) subactivity(all_84_0_17, tptp0) & subactivity(all_84_1_18, tptp0) & atocc(all_15_0_3, all_84_0_17) & atocc(all_15_2_5, all_84_1_18)
% 115.10/69.34 |
% 115.10/69.34 | Applying alpha-rule on (118) yields:
% 115.10/69.34 | (119) subactivity(all_84_0_17, tptp0)
% 115.10/69.34 | (120) subactivity(all_84_1_18, tptp0)
% 115.10/69.34 | (121) atocc(all_15_0_3, all_84_0_17)
% 115.10/69.34 | (122) atocc(all_15_2_5, all_84_1_18)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating (106) with all_92_0_22 yields:
% 115.10/69.34 | (123) subactivity(all_46_0_7, all_92_0_22) & atomic(all_92_0_22) & occurrence_of(all_15_0_3, all_92_0_22)
% 115.10/69.34 |
% 115.10/69.34 | Applying alpha-rule on (123) yields:
% 115.10/69.34 | (124) subactivity(all_46_0_7, all_92_0_22)
% 115.10/69.34 | (125) atomic(all_92_0_22)
% 115.10/69.34 | (126) occurrence_of(all_15_0_3, all_92_0_22)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating (105) with all_96_0_24 yields:
% 115.10/69.34 | (127) activity(all_96_0_24) & occurrence_of(all_15_2_5, all_96_0_24)
% 115.10/69.34 |
% 115.10/69.34 | Applying alpha-rule on (127) yields:
% 115.10/69.34 | (128) activity(all_96_0_24)
% 115.10/69.34 | (129) occurrence_of(all_15_2_5, all_96_0_24)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating (107) with all_100_0_26 yields:
% 115.10/69.34 | (130) subactivity(all_50_1_11, all_100_0_26) & atomic(all_100_0_26) & occurrence_of(all_15_2_5, all_100_0_26)
% 115.10/69.34 |
% 115.10/69.34 | Applying alpha-rule on (130) yields:
% 115.10/69.34 | (131) subactivity(all_50_1_11, all_100_0_26)
% 115.10/69.34 | (132) atomic(all_100_0_26)
% 115.10/69.34 | (133) occurrence_of(all_15_2_5, all_100_0_26)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating (117) with all_106_0_29, all_106_1_30 yields:
% 115.10/69.34 | (134) subactivity(all_106_0_29, tptp0) & subactivity(all_106_1_30, tptp0) & atocc(all_15_2_5, all_106_0_29) & atocc(all_0_1_1, all_106_1_30)
% 115.10/69.34 |
% 115.10/69.34 | Applying alpha-rule on (134) yields:
% 115.10/69.34 | (135) subactivity(all_106_0_29, tptp0)
% 115.10/69.34 | (136) subactivity(all_106_1_30, tptp0)
% 115.10/69.34 | (137) atocc(all_15_2_5, all_106_0_29)
% 115.10/69.34 | (138) atocc(all_0_1_1, all_106_1_30)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating (113) with all_108_0_31 yields:
% 115.10/69.34 | (139) subactivity_occurrence(all_108_0_31, all_48_0_9) & root(all_108_0_31, tptp0)
% 115.10/69.34 |
% 115.10/69.34 | Applying alpha-rule on (139) yields:
% 115.10/69.34 | (140) subactivity_occurrence(all_108_0_31, all_48_0_9)
% 115.10/69.34 | (141) root(all_108_0_31, tptp0)
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (13) with all_100_0_26, tptp3, all_15_2_5 and discharging atoms occurrence_of(all_15_2_5, all_100_0_26), occurrence_of(all_15_2_5, tptp3), yields:
% 115.10/69.34 | (142) all_100_0_26 = tptp3
% 115.10/69.34 |
% 115.10/69.34 | Instantiating formula (13) with all_96_0_24, all_100_0_26, all_15_2_5 and discharging atoms occurrence_of(all_15_2_5, all_100_0_26), occurrence_of(all_15_2_5, all_96_0_24), yields:
% 115.10/69.34 | (143) all_100_0_26 = all_96_0_24
% 115.10/69.35 |
% 115.10/69.35 | Combining equations (142,143) yields a new equation:
% 115.10/69.35 | (144) all_96_0_24 = tptp3
% 115.10/69.35 |
% 115.10/69.35 | From (144) and (129) follows:
% 115.10/69.35 | (69) occurrence_of(all_15_2_5, tptp3)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (39) with all_48_0_9 and discharging atoms activity_occurrence(all_48_0_9), yields:
% 115.10/69.35 | (146) ? [v0] : (activity(v0) & occurrence_of(all_48_0_9, v0))
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (39) with all_15_0_3 and discharging atoms activity_occurrence(all_15_0_3), yields:
% 115.10/69.35 | (147) ? [v0] : (activity(v0) & occurrence_of(all_15_0_3, v0))
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (21) with all_84_0_17, all_15_0_3 and discharging atoms atocc(all_15_0_3, all_84_0_17), yields:
% 115.10/69.35 | (148) ? [v0] : (subactivity(all_84_0_17, v0) & atomic(v0) & occurrence_of(all_15_0_3, v0))
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (21) with all_106_0_29, all_15_2_5 and discharging atoms atocc(all_15_2_5, all_106_0_29), yields:
% 115.10/69.35 | (149) ? [v0] : (subactivity(all_106_0_29, v0) & atomic(v0) & occurrence_of(all_15_2_5, v0))
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (21) with all_84_1_18, all_15_2_5 and discharging atoms atocc(all_15_2_5, all_84_1_18), yields:
% 115.10/69.35 | (150) ? [v0] : (subactivity(all_84_1_18, v0) & atomic(v0) & occurrence_of(all_15_2_5, v0))
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (16) with tptp0, all_48_0_9, all_108_0_31 and discharging atoms subactivity_occurrence(all_108_0_31, all_48_0_9), root(all_108_0_31, tptp0), occurrence_of(all_48_0_9, tptp0), yields:
% 115.10/69.35 | (151) root_occ(all_108_0_31, all_48_0_9)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (30) with all_15_1_4, all_15_1_4 and discharging atoms legal(all_15_1_4), yields:
% 115.10/69.35 | (152) ~ earlier(all_15_1_4, all_15_1_4) | precedes(all_15_1_4, all_15_1_4)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (27) with all_0_1_1, tptp0, all_15_0_3 and discharging atoms min_precedes(all_0_1_1, all_15_0_3, tptp0), yields:
% 115.10/69.35 | (153) leaf(all_15_0_3, tptp0) | ? [v0] : min_precedes(all_15_0_3, v0, tptp0)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (27) with all_0_1_1, tptp0, all_15_1_4 and discharging atoms min_precedes(all_0_1_1, all_15_1_4, tptp0), yields:
% 115.10/69.35 | (154) leaf(all_15_1_4, tptp0) | ? [v0] : min_precedes(all_15_1_4, v0, tptp0)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (14) with tptp0, all_15_1_4, all_0_1_1 and discharging atoms min_precedes(all_0_1_1, all_15_1_4, tptp0), yields:
% 115.10/69.35 | (155) next_subocc(all_0_1_1, all_15_1_4, tptp0) | ? [v0] : (min_precedes(v0, all_15_1_4, tptp0) & min_precedes(all_0_1_1, v0, tptp0))
% 115.10/69.35 |
% 115.10/69.35 | Instantiating (147) with all_144_0_34 yields:
% 115.10/69.35 | (156) activity(all_144_0_34) & occurrence_of(all_15_0_3, all_144_0_34)
% 115.10/69.35 |
% 115.10/69.35 | Applying alpha-rule on (156) yields:
% 115.10/69.35 | (157) activity(all_144_0_34)
% 115.10/69.35 | (158) occurrence_of(all_15_0_3, all_144_0_34)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating (146) with all_148_0_37 yields:
% 115.10/69.35 | (159) activity(all_148_0_37) & occurrence_of(all_48_0_9, all_148_0_37)
% 115.10/69.35 |
% 115.10/69.35 | Applying alpha-rule on (159) yields:
% 115.10/69.35 | (160) activity(all_148_0_37)
% 115.10/69.35 | (161) occurrence_of(all_48_0_9, all_148_0_37)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating (150) with all_158_0_42 yields:
% 115.10/69.35 | (162) subactivity(all_84_1_18, all_158_0_42) & atomic(all_158_0_42) & occurrence_of(all_15_2_5, all_158_0_42)
% 115.10/69.35 |
% 115.10/69.35 | Applying alpha-rule on (162) yields:
% 115.10/69.35 | (163) subactivity(all_84_1_18, all_158_0_42)
% 115.10/69.35 | (164) atomic(all_158_0_42)
% 115.10/69.35 | (165) occurrence_of(all_15_2_5, all_158_0_42)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating (149) with all_162_0_44 yields:
% 115.10/69.35 | (166) subactivity(all_106_0_29, all_162_0_44) & atomic(all_162_0_44) & occurrence_of(all_15_2_5, all_162_0_44)
% 115.10/69.35 |
% 115.10/69.35 | Applying alpha-rule on (166) yields:
% 115.10/69.35 | (167) subactivity(all_106_0_29, all_162_0_44)
% 115.10/69.35 | (168) atomic(all_162_0_44)
% 115.10/69.35 | (169) occurrence_of(all_15_2_5, all_162_0_44)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating (148) with all_164_0_45 yields:
% 115.10/69.35 | (170) subactivity(all_84_0_17, all_164_0_45) & atomic(all_164_0_45) & occurrence_of(all_15_0_3, all_164_0_45)
% 115.10/69.35 |
% 115.10/69.35 | Applying alpha-rule on (170) yields:
% 115.10/69.35 | (171) subactivity(all_84_0_17, all_164_0_45)
% 115.10/69.35 | (172) atomic(all_164_0_45)
% 115.10/69.35 | (173) occurrence_of(all_15_0_3, all_164_0_45)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (13) with all_148_0_37, tptp0, all_48_0_9 and discharging atoms occurrence_of(all_48_0_9, all_148_0_37), occurrence_of(all_48_0_9, tptp0), yields:
% 115.10/69.35 | (174) all_148_0_37 = tptp0
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (13) with all_164_0_45, all_92_0_22, all_15_0_3 and discharging atoms occurrence_of(all_15_0_3, all_164_0_45), occurrence_of(all_15_0_3, all_92_0_22), yields:
% 115.10/69.35 | (175) all_164_0_45 = all_92_0_22
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (13) with all_144_0_34, all_164_0_45, all_15_0_3 and discharging atoms occurrence_of(all_15_0_3, all_164_0_45), occurrence_of(all_15_0_3, all_144_0_34), yields:
% 115.10/69.35 | (176) all_164_0_45 = all_144_0_34
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (13) with all_162_0_44, tptp3, all_15_2_5 and discharging atoms occurrence_of(all_15_2_5, all_162_0_44), occurrence_of(all_15_2_5, tptp3), yields:
% 115.10/69.35 | (177) all_162_0_44 = tptp3
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (13) with all_158_0_42, all_162_0_44, all_15_2_5 and discharging atoms occurrence_of(all_15_2_5, all_162_0_44), occurrence_of(all_15_2_5, all_158_0_42), yields:
% 115.10/69.35 | (178) all_162_0_44 = all_158_0_42
% 115.10/69.35 |
% 115.10/69.35 | Combining equations (175,176) yields a new equation:
% 115.10/69.35 | (179) all_144_0_34 = all_92_0_22
% 115.10/69.35 |
% 115.10/69.35 | Combining equations (177,178) yields a new equation:
% 115.10/69.35 | (180) all_158_0_42 = tptp3
% 115.10/69.35 |
% 115.10/69.35 | From (174) and (161) follows:
% 115.10/69.35 | (95) occurrence_of(all_48_0_9, tptp0)
% 115.10/69.35 |
% 115.10/69.35 | From (179) and (158) follows:
% 115.10/69.35 | (126) occurrence_of(all_15_0_3, all_92_0_22)
% 115.10/69.35 |
% 115.10/69.35 | From (180) and (165) follows:
% 115.10/69.35 | (69) occurrence_of(all_15_2_5, tptp3)
% 115.10/69.35 |
% 115.10/69.35 +-Applying beta-rule and splitting (74), into two cases.
% 115.10/69.35 |-Branch one:
% 115.10/69.35 | (184) occurrence_of(all_15_0_3, tptp1)
% 115.10/69.35 |
% 115.10/69.35 | Instantiating formula (13) with tptp1, all_92_0_22, all_15_0_3 and discharging atoms occurrence_of(all_15_0_3, all_92_0_22), occurrence_of(all_15_0_3, tptp1), yields:
% 115.10/69.36 | (185) all_92_0_22 = tptp1
% 115.10/69.36 |
% 115.10/69.36 | From (185) and (126) follows:
% 115.10/69.36 | (184) occurrence_of(all_15_0_3, tptp1)
% 115.10/69.36 |
% 115.10/69.36 | Instantiating formula (56) with all_15_2_5, tptp0, all_15_1_4, all_0_1_1 and discharging atoms min_precedes(all_15_2_5, all_15_1_4, tptp0), min_precedes(all_0_1_1, all_15_2_5, tptp0), yields:
% 115.10/69.36 | (187) ~ next_subocc(all_0_1_1, all_15_1_4, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Instantiating formula (13) with tptp4, tptp1, all_15_0_3 and discharging atoms occurrence_of(all_15_0_3, tptp1), yields:
% 115.10/69.36 | (188) tptp1 = tptp4 | ~ occurrence_of(all_15_0_3, tptp4)
% 115.10/69.36 |
% 115.10/69.36 +-Applying beta-rule and splitting (188), into two cases.
% 115.10/69.36 |-Branch one:
% 115.10/69.36 | (189) ~ occurrence_of(all_15_0_3, tptp4)
% 115.10/69.36 |
% 115.10/69.36 +-Applying beta-rule and splitting (155), into two cases.
% 115.10/69.36 |-Branch one:
% 115.10/69.36 | (190) next_subocc(all_0_1_1, all_15_1_4, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Using (190) and (187) yields:
% 115.10/69.36 | (191) $false
% 115.10/69.36 |
% 115.10/69.36 |-The branch is then unsatisfiable
% 115.10/69.36 |-Branch two:
% 115.10/69.36 | (187) ~ next_subocc(all_0_1_1, all_15_1_4, tptp0)
% 115.10/69.36 | (193) ? [v0] : (min_precedes(v0, all_15_1_4, tptp0) & min_precedes(all_0_1_1, v0, tptp0))
% 115.10/69.36 |
% 115.10/69.36 | Instantiating (193) with all_248_0_2050 yields:
% 115.10/69.36 | (194) min_precedes(all_248_0_2050, all_15_1_4, tptp0) & min_precedes(all_0_1_1, all_248_0_2050, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Applying alpha-rule on (194) yields:
% 115.10/69.36 | (195) min_precedes(all_248_0_2050, all_15_1_4, tptp0)
% 115.10/69.36 | (196) min_precedes(all_0_1_1, all_248_0_2050, tptp0)
% 115.10/69.36 |
% 115.10/69.36 +-Applying beta-rule and splitting (153), into two cases.
% 115.10/69.36 |-Branch one:
% 115.10/69.36 | (197) leaf(all_15_0_3, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Instantiating formula (11) with all_15_0_3, all_15_2_5 and discharging atoms leaf(all_15_0_3, tptp0), next_subocc(all_0_1_1, all_15_2_5, tptp0), occurrence_of(all_15_0_3, tptp1), occurrence_of(all_15_2_5, tptp3), min_precedes(all_15_2_5, all_15_0_3, tptp0), yields:
% 115.10/69.36 | (191) $false
% 115.10/69.36 |
% 115.10/69.36 |-The branch is then unsatisfiable
% 115.10/69.36 |-Branch two:
% 115.10/69.36 | (199) ~ leaf(all_15_0_3, tptp0)
% 115.10/69.36 | (200) ? [v0] : min_precedes(all_15_0_3, v0, tptp0)
% 115.10/69.36 |
% 115.10/69.36 +-Applying beta-rule and splitting (153), into two cases.
% 115.10/69.36 |-Branch one:
% 115.10/69.36 | (197) leaf(all_15_0_3, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Using (197) and (199) yields:
% 115.10/69.36 | (191) $false
% 115.10/69.36 |
% 115.10/69.36 |-The branch is then unsatisfiable
% 115.10/69.36 |-Branch two:
% 115.10/69.36 | (199) ~ leaf(all_15_0_3, tptp0)
% 115.10/69.36 | (200) ? [v0] : min_precedes(all_15_0_3, v0, tptp0)
% 115.10/69.36 |
% 115.10/69.36 +-Applying beta-rule and splitting (153), into two cases.
% 115.10/69.36 |-Branch one:
% 115.10/69.36 | (197) leaf(all_15_0_3, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Using (197) and (199) yields:
% 115.10/69.36 | (191) $false
% 115.10/69.36 |
% 115.10/69.36 |-The branch is then unsatisfiable
% 115.10/69.36 |-Branch two:
% 115.10/69.36 | (199) ~ leaf(all_15_0_3, tptp0)
% 115.10/69.36 | (200) ? [v0] : min_precedes(all_15_0_3, v0, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Instantiating (200) with all_347_0_2054 yields:
% 115.10/69.36 | (209) min_precedes(all_15_0_3, all_347_0_2054, tptp0)
% 115.10/69.36 |
% 115.10/69.36 +-Applying beta-rule and splitting (86), into two cases.
% 115.10/69.36 |-Branch one:
% 115.10/69.36 | (210) next_subocc(all_15_2_5, all_15_1_4, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Instantiating formula (56) with all_15_0_3, tptp0, all_15_1_4, all_15_2_5 and discharging atoms next_subocc(all_15_2_5, all_15_1_4, tptp0), min_precedes(all_15_2_5, all_15_0_3, tptp0), yields:
% 115.10/69.36 | (211) ~ min_precedes(all_15_0_3, all_15_1_4, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Instantiating formula (56) with all_15_1_4, tptp0, all_15_1_4, all_15_2_5 and discharging atoms next_subocc(all_15_2_5, all_15_1_4, tptp0), min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.10/69.36 | (212) ~ min_precedes(all_15_1_4, all_15_1_4, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Using (209) and (211) yields:
% 115.10/69.36 | (213) ~ (all_347_0_2054 = all_15_1_4)
% 115.10/69.36 |
% 115.10/69.36 +-Applying beta-rule and splitting (154), into two cases.
% 115.10/69.36 |-Branch one:
% 115.10/69.36 | (214) leaf(all_15_1_4, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Instantiating formula (7) with all_15_0_3, tptp0, all_15_1_4 and discharging atoms leaf(all_15_1_4, tptp0), min_precedes(all_15_1_4, all_15_0_3, tptp0), yields:
% 115.10/69.36 | (191) $false
% 115.10/69.36 |
% 115.10/69.36 |-The branch is then unsatisfiable
% 115.10/69.36 |-Branch two:
% 115.10/69.36 | (216) ~ leaf(all_15_1_4, tptp0)
% 115.10/69.36 | (217) ? [v0] : min_precedes(all_15_1_4, v0, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Instantiating (217) with all_377_0_2055 yields:
% 115.10/69.36 | (218) min_precedes(all_15_1_4, all_377_0_2055, tptp0)
% 115.10/69.36 |
% 115.10/69.36 +-Applying beta-rule and splitting (154), into two cases.
% 115.10/69.36 |-Branch one:
% 115.10/69.36 | (214) leaf(all_15_1_4, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Using (214) and (216) yields:
% 115.10/69.36 | (191) $false
% 115.10/69.36 |
% 115.10/69.36 |-The branch is then unsatisfiable
% 115.10/69.36 |-Branch two:
% 115.10/69.36 | (216) ~ leaf(all_15_1_4, tptp0)
% 115.10/69.36 | (217) ? [v0] : min_precedes(all_15_1_4, v0, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Instantiating (217) with all_383_0_2056 yields:
% 115.10/69.36 | (223) min_precedes(all_15_1_4, all_383_0_2056, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Using (223) and (212) yields:
% 115.10/69.36 | (224) ~ (all_383_0_2056 = all_15_1_4)
% 115.10/69.36 |
% 115.10/69.36 | Using (218) and (212) yields:
% 115.10/69.36 | (225) ~ (all_377_0_2055 = all_15_1_4)
% 115.10/69.36 |
% 115.10/69.36 +-Applying beta-rule and splitting (81), into two cases.
% 115.10/69.36 |-Branch one:
% 115.10/69.36 | (226) next_subocc(all_15_1_4, all_15_0_3, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Instantiating formula (56) with all_15_0_3, tptp0, all_15_0_3, all_15_1_4 and discharging atoms next_subocc(all_15_1_4, all_15_0_3, tptp0), min_precedes(all_15_1_4, all_15_0_3, tptp0), yields:
% 115.10/69.36 | (227) ~ min_precedes(all_15_0_3, all_15_0_3, tptp0)
% 115.10/69.36 |
% 115.10/69.36 | Using (209) and (227) yields:
% 115.10/69.36 | (228) ~ (all_347_0_2054 = all_15_0_3)
% 115.10/69.36 |
% 115.10/69.37 | Instantiating formula (41) with tptp0, all_347_0_2054, all_15_0_3, all_15_2_5 and discharging atoms min_precedes(all_15_0_3, all_347_0_2054, tptp0), min_precedes(all_15_2_5, all_15_0_3, tptp0), yields:
% 115.10/69.37 | (229) min_precedes(all_15_2_5, all_347_0_2054, tptp0)
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (70) with all_347_0_2054 and discharging atoms min_precedes(all_15_2_5, all_347_0_2054, tptp0), yields:
% 115.10/69.37 | (230) all_347_0_2054 = all_15_0_3 | all_347_0_2054 = all_15_1_4
% 115.10/69.37 |
% 115.10/69.37 +-Applying beta-rule and splitting (230), into two cases.
% 115.10/69.37 |-Branch one:
% 115.10/69.37 | (231) all_347_0_2054 = all_15_0_3
% 115.10/69.37 |
% 115.10/69.37 | Equations (231) can reduce 228 to:
% 115.10/69.37 | (232) $false
% 115.10/69.37 |
% 115.10/69.37 |-The branch is then unsatisfiable
% 115.10/69.37 |-Branch two:
% 115.10/69.37 | (228) ~ (all_347_0_2054 = all_15_0_3)
% 115.10/69.37 | (234) all_347_0_2054 = all_15_1_4
% 115.10/69.37 |
% 115.10/69.37 | Equations (234) can reduce 213 to:
% 115.10/69.37 | (232) $false
% 115.10/69.37 |
% 115.10/69.37 |-The branch is then unsatisfiable
% 115.10/69.37 |-Branch two:
% 115.10/69.37 | (236) ~ next_subocc(all_15_1_4, all_15_0_3, tptp0)
% 115.10/69.37 | (237) ? [v0] : (min_precedes(v0, all_15_0_3, tptp0) & min_precedes(all_15_1_4, v0, tptp0))
% 115.10/69.37 |
% 115.10/69.37 | Instantiating (237) with all_399_0_2122 yields:
% 115.10/69.37 | (238) min_precedes(all_399_0_2122, all_15_0_3, tptp0) & min_precedes(all_15_1_4, all_399_0_2122, tptp0)
% 115.10/69.37 |
% 115.10/69.37 | Applying alpha-rule on (238) yields:
% 115.10/69.37 | (239) min_precedes(all_399_0_2122, all_15_0_3, tptp0)
% 115.10/69.37 | (240) min_precedes(all_15_1_4, all_399_0_2122, tptp0)
% 115.10/69.37 |
% 115.10/69.37 | Using (240) and (212) yields:
% 115.10/69.37 | (241) ~ (all_399_0_2122 = all_15_1_4)
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (43) with all_48_0_9, all_108_0_31 and discharging atoms root_occ(all_108_0_31, all_48_0_9), yields:
% 115.10/69.37 | (242) ? [v0] : (subactivity_occurrence(all_108_0_31, all_48_0_9) & root(all_108_0_31, v0) & occurrence_of(all_48_0_9, v0))
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (27) with all_248_0_2050, tptp0, all_15_1_4 and discharging atoms min_precedes(all_248_0_2050, all_15_1_4, tptp0), ~ leaf(all_15_1_4, tptp0), yields:
% 115.10/69.37 | (217) ? [v0] : min_precedes(all_15_1_4, v0, tptp0)
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (41) with tptp0, all_399_0_2122, all_15_1_4, all_15_2_5 and discharging atoms min_precedes(all_15_1_4, all_399_0_2122, tptp0), min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.10/69.37 | (244) min_precedes(all_15_2_5, all_399_0_2122, tptp0)
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (14) with tptp0, all_399_0_2122, all_15_1_4 and discharging atoms min_precedes(all_15_1_4, all_399_0_2122, tptp0), yields:
% 115.10/69.37 | (245) next_subocc(all_15_1_4, all_399_0_2122, tptp0) | ? [v0] : (min_precedes(v0, all_399_0_2122, tptp0) & min_precedes(all_15_1_4, v0, tptp0))
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (41) with tptp0, all_383_0_2056, all_15_1_4, all_15_2_5 and discharging atoms min_precedes(all_15_1_4, all_383_0_2056, tptp0), min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.10/69.37 | (246) min_precedes(all_15_2_5, all_383_0_2056, tptp0)
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (14) with tptp0, all_383_0_2056, all_15_1_4 and discharging atoms min_precedes(all_15_1_4, all_383_0_2056, tptp0), yields:
% 115.10/69.37 | (247) next_subocc(all_15_1_4, all_383_0_2056, tptp0) | ? [v0] : (min_precedes(v0, all_383_0_2056, tptp0) & min_precedes(all_15_1_4, v0, tptp0))
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (41) with tptp0, all_377_0_2055, all_15_1_4, all_15_2_5 and discharging atoms min_precedes(all_15_1_4, all_377_0_2055, tptp0), min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.10/69.37 | (248) min_precedes(all_15_2_5, all_377_0_2055, tptp0)
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (14) with tptp0, all_377_0_2055, all_15_1_4 and discharging atoms min_precedes(all_15_1_4, all_377_0_2055, tptp0), yields:
% 115.10/69.37 | (249) next_subocc(all_15_1_4, all_377_0_2055, tptp0) | ? [v0] : (min_precedes(v0, all_377_0_2055, tptp0) & min_precedes(all_15_1_4, v0, tptp0))
% 115.10/69.37 |
% 115.10/69.37 | Instantiating (242) with all_413_0_2124 yields:
% 115.10/69.37 | (250) subactivity_occurrence(all_108_0_31, all_48_0_9) & root(all_108_0_31, all_413_0_2124) & occurrence_of(all_48_0_9, all_413_0_2124)
% 115.10/69.37 |
% 115.10/69.37 | Applying alpha-rule on (250) yields:
% 115.10/69.37 | (140) subactivity_occurrence(all_108_0_31, all_48_0_9)
% 115.10/69.37 | (252) root(all_108_0_31, all_413_0_2124)
% 115.10/69.37 | (253) occurrence_of(all_48_0_9, all_413_0_2124)
% 115.10/69.37 |
% 115.10/69.37 | Instantiating (217) with all_473_0_2161 yields:
% 115.10/69.37 | (254) min_precedes(all_15_1_4, all_473_0_2161, tptp0)
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (13) with all_413_0_2124, tptp0, all_48_0_9 and discharging atoms occurrence_of(all_48_0_9, all_413_0_2124), occurrence_of(all_48_0_9, tptp0), yields:
% 115.10/69.37 | (255) all_413_0_2124 = tptp0
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (70) with all_399_0_2122 and discharging atoms min_precedes(all_15_2_5, all_399_0_2122, tptp0), yields:
% 115.10/69.37 | (256) all_399_0_2122 = all_15_0_3 | all_399_0_2122 = all_15_1_4
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (70) with all_383_0_2056 and discharging atoms min_precedes(all_15_2_5, all_383_0_2056, tptp0), yields:
% 115.10/69.37 | (257) all_383_0_2056 = all_15_0_3 | all_383_0_2056 = all_15_1_4
% 115.10/69.37 |
% 115.10/69.37 | Instantiating formula (70) with all_377_0_2055 and discharging atoms min_precedes(all_15_2_5, all_377_0_2055, tptp0), yields:
% 115.10/69.37 | (258) all_377_0_2055 = all_15_0_3 | all_377_0_2055 = all_15_1_4
% 115.10/69.37 |
% 115.10/69.37 | From (255) and (253) follows:
% 115.10/69.37 | (95) occurrence_of(all_48_0_9, tptp0)
% 115.10/69.37 |
% 115.10/69.37 +-Applying beta-rule and splitting (256), into two cases.
% 115.10/69.37 |-Branch one:
% 115.10/69.37 | (260) all_399_0_2122 = all_15_0_3
% 115.10/69.37 |
% 115.10/69.37 +-Applying beta-rule and splitting (245), into two cases.
% 115.10/69.37 |-Branch one:
% 115.10/69.37 | (261) next_subocc(all_15_1_4, all_399_0_2122, tptp0)
% 115.10/69.37 |
% 115.10/69.37 | From (260) and (261) follows:
% 115.10/69.37 | (226) next_subocc(all_15_1_4, all_15_0_3, tptp0)
% 115.10/69.37 |
% 115.10/69.37 | Using (226) and (236) yields:
% 115.10/69.37 | (191) $false
% 115.10/69.37 |
% 115.10/69.37 |-The branch is then unsatisfiable
% 115.10/69.37 |-Branch two:
% 115.10/69.37 | (264) ~ next_subocc(all_15_1_4, all_399_0_2122, tptp0)
% 115.10/69.37 | (265) ? [v0] : (min_precedes(v0, all_399_0_2122, tptp0) & min_precedes(all_15_1_4, v0, tptp0))
% 115.10/69.37 |
% 115.10/69.37 | Instantiating (265) with all_584_0_2195 yields:
% 115.10/69.37 | (266) min_precedes(all_584_0_2195, all_399_0_2122, tptp0) & min_precedes(all_15_1_4, all_584_0_2195, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | Applying alpha-rule on (266) yields:
% 115.10/69.38 | (267) min_precedes(all_584_0_2195, all_399_0_2122, tptp0)
% 115.10/69.38 | (268) min_precedes(all_15_1_4, all_584_0_2195, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | From (260) and (264) follows:
% 115.10/69.38 | (236) ~ next_subocc(all_15_1_4, all_15_0_3, tptp0)
% 115.10/69.38 |
% 115.10/69.38 +-Applying beta-rule and splitting (257), into two cases.
% 115.10/69.38 |-Branch one:
% 115.10/69.38 | (270) all_383_0_2056 = all_15_0_3
% 115.10/69.38 |
% 115.10/69.38 +-Applying beta-rule and splitting (258), into two cases.
% 115.10/69.38 |-Branch one:
% 115.10/69.38 | (271) all_377_0_2055 = all_15_0_3
% 115.10/69.38 |
% 115.10/69.38 +-Applying beta-rule and splitting (247), into two cases.
% 115.10/69.38 |-Branch one:
% 115.10/69.38 | (272) next_subocc(all_15_1_4, all_383_0_2056, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | From (270) and (272) follows:
% 115.10/69.38 | (226) next_subocc(all_15_1_4, all_15_0_3, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | Using (226) and (236) yields:
% 115.10/69.38 | (191) $false
% 115.10/69.38 |
% 115.10/69.38 |-The branch is then unsatisfiable
% 115.10/69.38 |-Branch two:
% 115.10/69.38 | (275) ~ next_subocc(all_15_1_4, all_383_0_2056, tptp0)
% 115.10/69.38 | (276) ? [v0] : (min_precedes(v0, all_383_0_2056, tptp0) & min_precedes(all_15_1_4, v0, tptp0))
% 115.10/69.38 |
% 115.10/69.38 | Instantiating (276) with all_619_0_2198 yields:
% 115.10/69.38 | (277) min_precedes(all_619_0_2198, all_383_0_2056, tptp0) & min_precedes(all_15_1_4, all_619_0_2198, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | Applying alpha-rule on (277) yields:
% 115.10/69.38 | (278) min_precedes(all_619_0_2198, all_383_0_2056, tptp0)
% 115.10/69.38 | (279) min_precedes(all_15_1_4, all_619_0_2198, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | From (270) and (275) follows:
% 115.10/69.38 | (236) ~ next_subocc(all_15_1_4, all_15_0_3, tptp0)
% 115.10/69.38 |
% 115.10/69.38 +-Applying beta-rule and splitting (249), into two cases.
% 115.10/69.38 |-Branch one:
% 115.10/69.38 | (281) next_subocc(all_15_1_4, all_377_0_2055, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | From (271) and (281) follows:
% 115.10/69.38 | (226) next_subocc(all_15_1_4, all_15_0_3, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | Using (226) and (236) yields:
% 115.10/69.38 | (191) $false
% 115.10/69.38 |
% 115.10/69.38 |-The branch is then unsatisfiable
% 115.10/69.38 |-Branch two:
% 115.10/69.38 | (284) ~ next_subocc(all_15_1_4, all_377_0_2055, tptp0)
% 115.10/69.38 | (285) ? [v0] : (min_precedes(v0, all_377_0_2055, tptp0) & min_precedes(all_15_1_4, v0, tptp0))
% 115.10/69.38 |
% 115.10/69.38 | Instantiating (285) with all_637_0_2200 yields:
% 115.10/69.38 | (286) min_precedes(all_637_0_2200, all_377_0_2055, tptp0) & min_precedes(all_15_1_4, all_637_0_2200, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | Applying alpha-rule on (286) yields:
% 115.10/69.38 | (287) min_precedes(all_637_0_2200, all_377_0_2055, tptp0)
% 115.10/69.38 | (288) min_precedes(all_15_1_4, all_637_0_2200, tptp0)
% 115.10/69.38 |
% 115.10/69.38 +-Applying beta-rule and splitting (111), into two cases.
% 115.10/69.38 |-Branch one:
% 115.10/69.38 | (289) leaf_occ(all_15_2_5, all_48_0_9)
% 115.10/69.38 |
% 115.10/69.38 | Instantiating formula (62) with all_15_1_4, tptp0, all_15_2_5, all_48_0_9 and discharging atoms leaf_occ(all_15_2_5, all_48_0_9), occurrence_of(all_48_0_9, tptp0), min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.10/69.38 | (191) $false
% 115.10/69.38 |
% 115.10/69.38 |-The branch is then unsatisfiable
% 115.10/69.38 |-Branch two:
% 115.10/69.38 | (291) ~ leaf_occ(all_15_2_5, all_48_0_9)
% 115.10/69.38 | (292) ? [v0] : ? [v1] : ? [v2] : (next_subocc(all_15_2_5, v0, tptp0) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & min_precedes(v1, v2, tptp0) & min_precedes(v0, v1, tptp0) & ! [v3] : (v3 = v2 | v3 = v1 | ~ min_precedes(v0, v3, tptp0)) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 115.10/69.38 |
% 115.10/69.38 | Instantiating (292) with all_695_0_2203, all_695_1_2204, all_695_2_2205 yields:
% 115.10/69.38 | (293) next_subocc(all_15_2_5, all_695_2_2205, tptp0) & occurrence_of(all_695_1_2204, tptp4) & occurrence_of(all_695_2_2205, tptp3) & min_precedes(all_695_1_2204, all_695_0_2203, tptp0) & min_precedes(all_695_2_2205, all_695_1_2204, tptp0) & ! [v0] : (v0 = all_695_0_2203 | v0 = all_695_1_2204 | ~ min_precedes(all_695_2_2205, v0, tptp0)) & (occurrence_of(all_695_0_2203, tptp1) | occurrence_of(all_695_0_2203, tptp2))
% 115.10/69.38 |
% 115.10/69.38 | Applying alpha-rule on (293) yields:
% 115.10/69.38 | (294) min_precedes(all_695_1_2204, all_695_0_2203, tptp0)
% 115.10/69.38 | (295) min_precedes(all_695_2_2205, all_695_1_2204, tptp0)
% 115.10/69.38 | (296) ! [v0] : (v0 = all_695_0_2203 | v0 = all_695_1_2204 | ~ min_precedes(all_695_2_2205, v0, tptp0))
% 115.10/69.38 | (297) occurrence_of(all_695_2_2205, tptp3)
% 115.10/69.38 | (298) occurrence_of(all_695_0_2203, tptp1) | occurrence_of(all_695_0_2203, tptp2)
% 115.10/69.38 | (299) next_subocc(all_15_2_5, all_695_2_2205, tptp0)
% 115.10/69.38 | (300) occurrence_of(all_695_1_2204, tptp4)
% 115.10/69.38 |
% 115.10/69.38 | Using (300) and (189) yields:
% 115.10/69.38 | (301) ~ (all_695_1_2204 = all_15_0_3)
% 115.10/69.38 |
% 115.10/69.38 | Instantiating formula (70) with all_695_1_2204 yields:
% 115.10/69.38 | (302) all_695_1_2204 = all_15_0_3 | all_695_1_2204 = all_15_1_4 | ~ min_precedes(all_15_2_5, all_695_1_2204, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | Instantiating formula (38) with tptp0, all_695_2_2205, all_15_2_5 and discharging atoms next_subocc(all_15_2_5, all_695_2_2205, tptp0), yields:
% 115.10/69.38 | (303) min_precedes(all_15_2_5, all_695_2_2205, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | Instantiating formula (41) with tptp0, all_637_0_2200, all_15_1_4, all_695_2_2205 and discharging atoms min_precedes(all_15_1_4, all_637_0_2200, tptp0), yields:
% 115.10/69.38 | (304) ~ min_precedes(all_695_2_2205, all_15_1_4, tptp0) | min_precedes(all_695_2_2205, all_637_0_2200, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | Instantiating formula (41) with tptp0, all_619_0_2198, all_15_1_4, all_695_2_2205 and discharging atoms min_precedes(all_15_1_4, all_619_0_2198, tptp0), yields:
% 115.10/69.38 | (305) ~ min_precedes(all_695_2_2205, all_15_1_4, tptp0) | min_precedes(all_695_2_2205, all_619_0_2198, tptp0)
% 115.10/69.38 |
% 115.10/69.38 | Instantiating formula (41) with tptp0, all_584_0_2195, all_15_1_4, all_695_2_2205 and discharging atoms min_precedes(all_15_1_4, all_584_0_2195, tptp0), yields:
% 115.10/69.38 | (306) ~ min_precedes(all_695_2_2205, all_15_1_4, tptp0) | min_precedes(all_695_2_2205, all_584_0_2195, tptp0)
% 115.10/69.39 |
% 115.10/69.39 | Instantiating formula (41) with tptp0, all_473_0_2161, all_15_1_4, all_695_2_2205 and discharging atoms min_precedes(all_15_1_4, all_473_0_2161, tptp0), yields:
% 115.10/69.39 | (307) ~ min_precedes(all_695_2_2205, all_15_1_4, tptp0) | min_precedes(all_695_2_2205, all_473_0_2161, tptp0)
% 115.10/69.39 |
% 115.10/69.39 | Instantiating formula (41) with tptp0, all_695_1_2204, all_695_2_2205, all_15_2_5 and discharging atoms min_precedes(all_695_2_2205, all_695_1_2204, tptp0), yields:
% 115.10/69.39 | (308) ~ min_precedes(all_15_2_5, all_695_2_2205, tptp0) | min_precedes(all_15_2_5, all_695_1_2204, tptp0)
% 115.10/69.39 |
% 115.10/69.39 +-Applying beta-rule and splitting (308), into two cases.
% 115.10/69.39 |-Branch one:
% 115.10/69.39 | (309) ~ min_precedes(all_15_2_5, all_695_2_2205, tptp0)
% 115.10/69.39 |
% 115.10/69.39 | Using (303) and (309) yields:
% 115.10/69.39 | (191) $false
% 115.10/69.39 |
% 115.10/69.39 |-The branch is then unsatisfiable
% 115.10/69.39 |-Branch two:
% 115.10/69.39 | (303) min_precedes(all_15_2_5, all_695_2_2205, tptp0)
% 115.10/69.39 | (312) min_precedes(all_15_2_5, all_695_1_2204, tptp0)
% 115.10/69.39 |
% 115.10/69.39 +-Applying beta-rule and splitting (302), into two cases.
% 115.10/69.39 |-Branch one:
% 115.10/69.39 | (313) ~ min_precedes(all_15_2_5, all_695_1_2204, tptp0)
% 115.10/69.39 |
% 115.10/69.39 | Using (312) and (313) yields:
% 115.10/69.39 | (191) $false
% 115.10/69.39 |
% 115.10/69.39 |-The branch is then unsatisfiable
% 115.10/69.39 |-Branch two:
% 115.10/69.39 | (312) min_precedes(all_15_2_5, all_695_1_2204, tptp0)
% 115.10/69.39 | (316) all_695_1_2204 = all_15_0_3 | all_695_1_2204 = all_15_1_4
% 115.10/69.39 |
% 115.10/69.39 +-Applying beta-rule and splitting (316), into two cases.
% 115.10/69.39 |-Branch one:
% 115.10/69.39 | (317) all_695_1_2204 = all_15_0_3
% 115.10/69.39 |
% 115.10/69.39 | Equations (317) can reduce 301 to:
% 115.10/69.39 | (232) $false
% 115.10/69.39 |
% 115.10/69.39 |-The branch is then unsatisfiable
% 115.10/69.39 |-Branch two:
% 115.10/69.39 | (301) ~ (all_695_1_2204 = all_15_0_3)
% 115.10/69.39 | (320) all_695_1_2204 = all_15_1_4
% 115.10/69.39 |
% 115.10/69.39 | From (320) and (295) follows:
% 115.10/69.39 | (321) min_precedes(all_695_2_2205, all_15_1_4, tptp0)
% 115.10/69.39 |
% 115.10/69.39 +-Applying beta-rule and splitting (305), into two cases.
% 115.10/69.39 |-Branch one:
% 115.10/69.39 | (322) ~ min_precedes(all_695_2_2205, all_15_1_4, tptp0)
% 115.10/69.39 |
% 115.10/69.39 | Using (321) and (322) yields:
% 115.10/69.39 | (191) $false
% 115.10/69.39 |
% 115.10/69.39 |-The branch is then unsatisfiable
% 115.10/69.39 |-Branch two:
% 115.10/69.39 | (321) min_precedes(all_695_2_2205, all_15_1_4, tptp0)
% 115.10/69.39 | (325) min_precedes(all_695_2_2205, all_619_0_2198, tptp0)
% 115.10/69.39 |
% 115.10/69.39 +-Applying beta-rule and splitting (307), into two cases.
% 115.10/69.39 |-Branch one:
% 115.10/69.39 | (322) ~ min_precedes(all_695_2_2205, all_15_1_4, tptp0)
% 115.10/69.39 |
% 115.10/69.39 | Using (321) and (322) yields:
% 115.10/69.39 | (191) $false
% 115.10/69.39 |
% 115.10/69.39 |-The branch is then unsatisfiable
% 115.10/69.39 |-Branch two:
% 115.10/69.39 | (321) min_precedes(all_695_2_2205, all_15_1_4, tptp0)
% 115.10/69.39 | (329) min_precedes(all_695_2_2205, all_473_0_2161, tptp0)
% 115.10/69.39 |
% 115.10/69.39 +-Applying beta-rule and splitting (304), into two cases.
% 115.10/69.39 |-Branch one:
% 115.10/69.39 | (322) ~ min_precedes(all_695_2_2205, all_15_1_4, tptp0)
% 115.10/69.39 |
% 115.10/69.39 | Using (321) and (322) yields:
% 115.10/69.39 | (191) $false
% 115.10/69.39 |
% 115.10/69.39 |-The branch is then unsatisfiable
% 115.10/69.39 |-Branch two:
% 115.10/69.39 | (321) min_precedes(all_695_2_2205, all_15_1_4, tptp0)
% 115.10/69.39 | (333) min_precedes(all_695_2_2205, all_637_0_2200, tptp0)
% 115.10/69.39 |
% 115.10/69.39 +-Applying beta-rule and splitting (306), into two cases.
% 115.10/69.39 |-Branch one:
% 115.10/69.39 | (322) ~ min_precedes(all_695_2_2205, all_15_1_4, tptp0)
% 115.10/69.39 |
% 115.10/69.39 | Using (321) and (322) yields:
% 115.10/69.39 | (191) $false
% 115.10/69.39 |
% 115.10/69.39 |-The branch is then unsatisfiable
% 115.10/69.39 |-Branch two:
% 115.10/69.39 | (321) min_precedes(all_695_2_2205, all_15_1_4, tptp0)
% 115.10/69.39 | (337) min_precedes(all_695_2_2205, all_584_0_2195, tptp0)
% 115.10/69.39 |
% 115.10/69.39 | Instantiating formula (56) with all_695_2_2205, tptp0, all_15_1_4, all_15_2_5 and discharging atoms next_subocc(all_15_2_5, all_15_1_4, tptp0), min_precedes(all_695_2_2205, all_15_1_4, tptp0), min_precedes(all_15_2_5, all_695_2_2205, tptp0), yields:
% 115.10/69.39 | (191) $false
% 115.10/69.39 |
% 115.10/69.39 |-The branch is then unsatisfiable
% 115.10/69.39 |-Branch two:
% 115.10/69.39 | (339) ~ (all_377_0_2055 = all_15_0_3)
% 115.10/69.39 | (340) all_377_0_2055 = all_15_1_4
% 115.10/69.39 |
% 115.10/69.39 | Equations (340) can reduce 225 to:
% 115.10/69.39 | (232) $false
% 115.10/69.39 |
% 115.10/69.39 |-The branch is then unsatisfiable
% 115.10/69.39 |-Branch two:
% 115.10/69.39 | (342) ~ (all_383_0_2056 = all_15_0_3)
% 115.10/69.39 | (343) all_383_0_2056 = all_15_1_4
% 115.10/69.39 |
% 115.10/69.39 | Equations (343) can reduce 224 to:
% 115.10/69.39 | (232) $false
% 115.10/69.39 |
% 115.10/69.39 |-The branch is then unsatisfiable
% 115.10/69.40 |-Branch two:
% 115.10/69.40 | (345) ~ (all_399_0_2122 = all_15_0_3)
% 115.10/69.40 | (346) all_399_0_2122 = all_15_1_4
% 115.10/69.40 |
% 115.10/69.40 | Equations (346) can reduce 241 to:
% 115.10/69.40 | (232) $false
% 115.10/69.40 |
% 115.10/69.40 |-The branch is then unsatisfiable
% 115.10/69.40 |-Branch two:
% 115.10/69.40 | (348) ~ next_subocc(all_15_2_5, all_15_1_4, tptp0)
% 115.10/69.40 | (349) ? [v0] : (min_precedes(v0, all_15_1_4, tptp0) & min_precedes(all_15_2_5, v0, tptp0))
% 115.10/69.40 |
% 115.55/69.40 | Instantiating (349) with all_363_0_2821 yields:
% 115.55/69.40 | (350) min_precedes(all_363_0_2821, all_15_1_4, tptp0) & min_precedes(all_15_2_5, all_363_0_2821, tptp0)
% 115.55/69.40 |
% 115.55/69.40 | Applying alpha-rule on (350) yields:
% 115.55/69.40 | (351) min_precedes(all_363_0_2821, all_15_1_4, tptp0)
% 115.55/69.40 | (352) min_precedes(all_15_2_5, all_363_0_2821, tptp0)
% 115.55/69.40 |
% 115.55/69.40 | Instantiating formula (70) with all_363_0_2821 and discharging atoms min_precedes(all_15_2_5, all_363_0_2821, tptp0), yields:
% 115.55/69.40 | (353) all_363_0_2821 = all_15_0_3 | all_363_0_2821 = all_15_1_4
% 115.55/69.40 |
% 115.55/69.40 | Instantiating formula (15) with tptp0, all_15_1_4, all_363_0_2821 and discharging atoms min_precedes(all_363_0_2821, all_15_1_4, tptp0), yields:
% 115.55/69.40 | (354) precedes(all_363_0_2821, all_15_1_4)
% 115.55/69.40 |
% 115.55/69.40 +-Applying beta-rule and splitting (152), into two cases.
% 115.55/69.40 |-Branch one:
% 115.55/69.40 | (355) ~ earlier(all_15_1_4, all_15_1_4)
% 115.55/69.40 |
% 115.55/69.40 | Instantiating formula (23) with all_15_1_4, all_363_0_2821 and discharging atoms precedes(all_363_0_2821, all_15_1_4), yields:
% 115.55/69.40 | (356) earlier(all_363_0_2821, all_15_1_4)
% 115.55/69.40 |
% 115.55/69.40 | Instantiating formula (57) with all_15_0_3, all_15_1_4 and discharging atoms earlier(all_15_1_4, all_15_0_3), yields:
% 115.55/69.40 | (357) ~ earlier(all_15_0_3, all_15_1_4)
% 115.55/69.40 |
% 115.55/69.40 | Using (356) and (355) yields:
% 115.55/69.40 | (358) ~ (all_363_0_2821 = all_15_1_4)
% 115.55/69.40 |
% 115.55/69.40 +-Applying beta-rule and splitting (353), into two cases.
% 115.55/69.40 |-Branch one:
% 115.55/69.40 | (359) all_363_0_2821 = all_15_0_3
% 115.55/69.40 |
% 115.55/69.40 | From (359) and (356) follows:
% 115.55/69.40 | (360) earlier(all_15_0_3, all_15_1_4)
% 115.55/69.40 |
% 115.55/69.40 | Using (360) and (357) yields:
% 115.55/69.40 | (191) $false
% 115.55/69.40 |
% 115.55/69.40 |-The branch is then unsatisfiable
% 115.55/69.40 |-Branch two:
% 115.55/69.40 | (362) ~ (all_363_0_2821 = all_15_0_3)
% 115.55/69.40 | (363) all_363_0_2821 = all_15_1_4
% 115.55/69.40 |
% 115.55/69.40 | Equations (363) can reduce 358 to:
% 115.55/69.40 | (232) $false
% 115.55/69.40 |
% 115.55/69.40 |-The branch is then unsatisfiable
% 115.55/69.40 |-Branch two:
% 115.55/69.40 | (365) earlier(all_15_1_4, all_15_1_4)
% 115.55/69.40 | (366) precedes(all_15_1_4, all_15_1_4)
% 115.55/69.40 |
% 115.55/69.40 | Instantiating formula (57) with all_15_1_4, all_15_1_4 and discharging atoms earlier(all_15_1_4, all_15_1_4), yields:
% 115.55/69.40 | (191) $false
% 115.55/69.40 |
% 115.55/69.40 |-The branch is then unsatisfiable
% 115.55/69.40 |-Branch two:
% 115.55/69.40 | (368) occurrence_of(all_15_0_3, tptp4)
% 115.55/69.40 | (369) tptp1 = tptp4
% 115.55/69.40 |
% 115.55/69.40 | Equations (369) can reduce 29 to:
% 115.55/69.40 | (232) $false
% 115.55/69.40 |
% 115.55/69.40 |-The branch is then unsatisfiable
% 115.55/69.40 |-Branch two:
% 115.55/69.40 | (371) ~ occurrence_of(all_15_0_3, tptp1)
% 115.55/69.40 | (372) occurrence_of(all_15_0_3, tptp2)
% 115.55/69.40 |
% 115.55/69.40 | Instantiating formula (13) with tptp2, all_92_0_22, all_15_0_3 and discharging atoms occurrence_of(all_15_0_3, all_92_0_22), occurrence_of(all_15_0_3, tptp2), yields:
% 115.55/69.40 | (373) all_92_0_22 = tptp2
% 115.55/69.40 |
% 115.55/69.40 | From (373) and (126) follows:
% 115.55/69.40 | (372) occurrence_of(all_15_0_3, tptp2)
% 115.55/69.40 |
% 115.55/69.40 +-Applying beta-rule and splitting (153), into two cases.
% 115.55/69.40 |-Branch one:
% 115.55/69.40 | (197) leaf(all_15_0_3, tptp0)
% 115.55/69.40 |
% 115.55/69.40 | Instantiating formula (34) with all_15_0_3, all_15_2_5 and discharging atoms leaf(all_15_0_3, tptp0), next_subocc(all_0_1_1, all_15_2_5, tptp0), occurrence_of(all_15_0_3, tptp2), occurrence_of(all_15_2_5, tptp3), min_precedes(all_15_2_5, all_15_0_3, tptp0), yields:
% 115.55/69.40 | (191) $false
% 115.55/69.40 |
% 115.55/69.40 |-The branch is then unsatisfiable
% 115.55/69.40 |-Branch two:
% 115.55/69.40 | (199) ~ leaf(all_15_0_3, tptp0)
% 115.55/69.40 | (200) ? [v0] : min_precedes(all_15_0_3, v0, tptp0)
% 115.55/69.40 |
% 115.55/69.40 | Instantiating (200) with all_224_0_3993 yields:
% 115.55/69.40 | (379) min_precedes(all_15_0_3, all_224_0_3993, tptp0)
% 115.55/69.40 |
% 115.55/69.40 +-Applying beta-rule and splitting (86), into two cases.
% 115.55/69.40 |-Branch one:
% 115.55/69.40 | (210) next_subocc(all_15_2_5, all_15_1_4, tptp0)
% 115.55/69.40 |
% 115.55/69.40 | Instantiating formula (56) with all_15_0_3, tptp0, all_15_1_4, all_15_2_5 and discharging atoms next_subocc(all_15_2_5, all_15_1_4, tptp0), min_precedes(all_15_2_5, all_15_0_3, tptp0), yields:
% 115.55/69.40 | (211) ~ min_precedes(all_15_0_3, all_15_1_4, tptp0)
% 115.55/69.40 |
% 115.55/69.40 | Using (379) and (211) yields:
% 115.55/69.41 | (382) ~ (all_224_0_3993 = all_15_1_4)
% 115.55/69.41 |
% 115.55/69.41 +-Applying beta-rule and splitting (81), into two cases.
% 115.55/69.41 |-Branch one:
% 115.55/69.41 | (226) next_subocc(all_15_1_4, all_15_0_3, tptp0)
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (56) with all_15_0_3, tptp0, all_15_0_3, all_15_1_4 and discharging atoms next_subocc(all_15_1_4, all_15_0_3, tptp0), min_precedes(all_15_1_4, all_15_0_3, tptp0), yields:
% 115.55/69.41 | (227) ~ min_precedes(all_15_0_3, all_15_0_3, tptp0)
% 115.55/69.41 |
% 115.55/69.41 | Using (379) and (227) yields:
% 115.55/69.41 | (385) ~ (all_224_0_3993 = all_15_0_3)
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (41) with tptp0, all_224_0_3993, all_15_0_3, all_15_2_5 and discharging atoms min_precedes(all_15_0_3, all_224_0_3993, tptp0), min_precedes(all_15_2_5, all_15_0_3, tptp0), yields:
% 115.55/69.41 | (386) min_precedes(all_15_2_5, all_224_0_3993, tptp0)
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (70) with all_224_0_3993 and discharging atoms min_precedes(all_15_2_5, all_224_0_3993, tptp0), yields:
% 115.55/69.41 | (387) all_224_0_3993 = all_15_0_3 | all_224_0_3993 = all_15_1_4
% 115.55/69.41 |
% 115.55/69.41 +-Applying beta-rule and splitting (387), into two cases.
% 115.55/69.41 |-Branch one:
% 115.55/69.41 | (388) all_224_0_3993 = all_15_0_3
% 115.55/69.41 |
% 115.55/69.41 | Equations (388) can reduce 385 to:
% 115.55/69.41 | (232) $false
% 115.55/69.41 |
% 115.55/69.41 |-The branch is then unsatisfiable
% 115.55/69.41 |-Branch two:
% 115.55/69.41 | (385) ~ (all_224_0_3993 = all_15_0_3)
% 115.55/69.41 | (391) all_224_0_3993 = all_15_1_4
% 115.55/69.41 |
% 115.55/69.41 | Equations (391) can reduce 382 to:
% 115.55/69.41 | (232) $false
% 115.55/69.41 |
% 115.55/69.41 |-The branch is then unsatisfiable
% 115.55/69.41 |-Branch two:
% 115.55/69.41 | (236) ~ next_subocc(all_15_1_4, all_15_0_3, tptp0)
% 115.55/69.41 | (237) ? [v0] : (min_precedes(v0, all_15_0_3, tptp0) & min_precedes(all_15_1_4, v0, tptp0))
% 115.55/69.41 |
% 115.55/69.41 | Instantiating (237) with all_265_0_4044 yields:
% 115.55/69.41 | (395) min_precedes(all_265_0_4044, all_15_0_3, tptp0) & min_precedes(all_15_1_4, all_265_0_4044, tptp0)
% 115.55/69.41 |
% 115.55/69.41 | Applying alpha-rule on (395) yields:
% 115.55/69.41 | (396) min_precedes(all_265_0_4044, all_15_0_3, tptp0)
% 115.55/69.41 | (397) min_precedes(all_15_1_4, all_265_0_4044, tptp0)
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (56) with all_15_1_4, tptp0, all_15_1_4, all_15_2_5 and discharging atoms next_subocc(all_15_2_5, all_15_1_4, tptp0), min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.55/69.41 | (212) ~ min_precedes(all_15_1_4, all_15_1_4, tptp0)
% 115.55/69.41 |
% 115.55/69.41 | Using (397) and (212) yields:
% 115.55/69.41 | (399) ~ (all_265_0_4044 = all_15_1_4)
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (15) with tptp0, all_15_0_3, all_265_0_4044 and discharging atoms min_precedes(all_265_0_4044, all_15_0_3, tptp0), yields:
% 115.55/69.41 | (400) precedes(all_265_0_4044, all_15_0_3)
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (41) with tptp0, all_265_0_4044, all_15_1_4, all_15_2_5 and discharging atoms min_precedes(all_15_1_4, all_265_0_4044, tptp0), min_precedes(all_15_2_5, all_15_1_4, tptp0), yields:
% 115.55/69.41 | (401) min_precedes(all_15_2_5, all_265_0_4044, tptp0)
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (70) with all_265_0_4044 and discharging atoms min_precedes(all_15_2_5, all_265_0_4044, tptp0), yields:
% 115.55/69.41 | (402) all_265_0_4044 = all_15_0_3 | all_265_0_4044 = all_15_1_4
% 115.55/69.41 |
% 115.55/69.41 +-Applying beta-rule and splitting (402), into two cases.
% 115.55/69.41 |-Branch one:
% 115.55/69.41 | (403) all_265_0_4044 = all_15_0_3
% 115.55/69.41 |
% 115.55/69.41 | From (403) and (400) follows:
% 115.55/69.41 | (404) precedes(all_15_0_3, all_15_0_3)
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (23) with all_15_0_3, all_15_0_3 and discharging atoms precedes(all_15_0_3, all_15_0_3), yields:
% 115.55/69.41 | (405) earlier(all_15_0_3, all_15_0_3)
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (57) with all_15_0_3, all_15_0_3 and discharging atoms earlier(all_15_0_3, all_15_0_3), yields:
% 115.55/69.41 | (191) $false
% 115.55/69.41 |
% 115.55/69.41 |-The branch is then unsatisfiable
% 115.55/69.41 |-Branch two:
% 115.55/69.41 | (407) ~ (all_265_0_4044 = all_15_0_3)
% 115.55/69.41 | (408) all_265_0_4044 = all_15_1_4
% 115.55/69.41 |
% 115.55/69.41 | Equations (408) can reduce 399 to:
% 115.55/69.41 | (232) $false
% 115.55/69.41 |
% 115.55/69.41 |-The branch is then unsatisfiable
% 115.55/69.41 |-Branch two:
% 115.55/69.41 | (348) ~ next_subocc(all_15_2_5, all_15_1_4, tptp0)
% 115.55/69.41 | (349) ? [v0] : (min_precedes(v0, all_15_1_4, tptp0) & min_precedes(all_15_2_5, v0, tptp0))
% 115.55/69.41 |
% 115.55/69.41 | Instantiating (349) with all_251_0_4842 yields:
% 115.55/69.41 | (412) min_precedes(all_251_0_4842, all_15_1_4, tptp0) & min_precedes(all_15_2_5, all_251_0_4842, tptp0)
% 115.55/69.41 |
% 115.55/69.41 | Applying alpha-rule on (412) yields:
% 115.55/69.41 | (413) min_precedes(all_251_0_4842, all_15_1_4, tptp0)
% 115.55/69.41 | (414) min_precedes(all_15_2_5, all_251_0_4842, tptp0)
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (70) with all_251_0_4842 and discharging atoms min_precedes(all_15_2_5, all_251_0_4842, tptp0), yields:
% 115.55/69.41 | (415) all_251_0_4842 = all_15_0_3 | all_251_0_4842 = all_15_1_4
% 115.55/69.41 |
% 115.55/69.41 | Instantiating formula (15) with tptp0, all_15_1_4, all_251_0_4842 and discharging atoms min_precedes(all_251_0_4842, all_15_1_4, tptp0), yields:
% 115.55/69.41 | (416) precedes(all_251_0_4842, all_15_1_4)
% 115.55/69.41 |
% 115.55/69.42 +-Applying beta-rule and splitting (152), into two cases.
% 115.55/69.42 |-Branch one:
% 115.55/69.42 | (355) ~ earlier(all_15_1_4, all_15_1_4)
% 115.55/69.42 |
% 115.55/69.42 | Instantiating formula (23) with all_15_1_4, all_251_0_4842 and discharging atoms precedes(all_251_0_4842, all_15_1_4), yields:
% 115.55/69.42 | (418) earlier(all_251_0_4842, all_15_1_4)
% 115.55/69.42 |
% 115.55/69.42 | Instantiating formula (57) with all_15_0_3, all_15_1_4 and discharging atoms earlier(all_15_1_4, all_15_0_3), yields:
% 115.55/69.42 | (357) ~ earlier(all_15_0_3, all_15_1_4)
% 115.55/69.42 |
% 115.55/69.42 | Using (418) and (355) yields:
% 115.55/69.42 | (420) ~ (all_251_0_4842 = all_15_1_4)
% 115.55/69.42 |
% 115.55/69.42 +-Applying beta-rule and splitting (415), into two cases.
% 115.55/69.42 |-Branch one:
% 115.55/69.42 | (421) all_251_0_4842 = all_15_0_3
% 115.55/69.42 |
% 115.55/69.42 | From (421) and (418) follows:
% 115.55/69.42 | (360) earlier(all_15_0_3, all_15_1_4)
% 115.55/69.42 |
% 115.55/69.42 | Using (360) and (357) yields:
% 115.55/69.42 | (191) $false
% 115.55/69.42 |
% 115.55/69.42 |-The branch is then unsatisfiable
% 115.55/69.42 |-Branch two:
% 115.55/69.42 | (424) ~ (all_251_0_4842 = all_15_0_3)
% 115.55/69.42 | (425) all_251_0_4842 = all_15_1_4
% 115.55/69.42 |
% 115.55/69.42 | Equations (425) can reduce 420 to:
% 115.55/69.42 | (232) $false
% 115.55/69.42 |
% 115.55/69.42 |-The branch is then unsatisfiable
% 115.55/69.42 |-Branch two:
% 115.55/69.42 | (365) earlier(all_15_1_4, all_15_1_4)
% 115.55/69.42 | (366) precedes(all_15_1_4, all_15_1_4)
% 115.55/69.42 |
% 115.55/69.42 | Instantiating formula (57) with all_15_1_4, all_15_1_4 and discharging atoms earlier(all_15_1_4, all_15_1_4), yields:
% 115.55/69.42 | (191) $false
% 115.55/69.42 |
% 115.55/69.42 |-The branch is then unsatisfiable
% 115.55/69.42 % SZS output end Proof for theBenchmark
% 115.55/69.42
% 115.55/69.42 68815ms
%------------------------------------------------------------------------------