TSTP Solution File: PRO014+4 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PRO014+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.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 17:44:00 EDT 2022
% Result : Theorem 5.32s 1.97s
% Output : Proof 15.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO014+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n025.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 02:24:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.64/0.64 ____ _
% 0.64/0.64 ___ / __ \_____(_)___ ________ __________
% 0.64/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.64/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.64/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.64/0.64
% 0.64/0.64 A Theorem Prover for First-Order Logic
% 0.64/0.64 (ePrincess v.1.0)
% 0.64/0.64
% 0.64/0.64 (c) Philipp Rümmer, 2009-2015
% 0.64/0.64 (c) Peter Backeman, 2014-2015
% 0.64/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.64/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.64/0.64 Bug reports to peter@backeman.se
% 0.64/0.64
% 0.64/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.64/0.64
% 0.64/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.64/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.74/1.05 Prover 0: Preprocessing ...
% 2.51/1.28 Prover 0: Constructing countermodel ...
% 5.32/1.97 Prover 0: proved (1280ms)
% 5.32/1.97
% 5.32/1.97 No countermodel exists, formula is valid
% 5.32/1.97 % SZS status Theorem for theBenchmark
% 5.32/1.97
% 5.32/1.97 Generating proof ... found it (size 202)
% 14.80/4.23
% 14.80/4.23 % SZS output start Proof for theBenchmark
% 14.80/4.23 Assumed formulas after preprocessing and simplification:
% 14.80/4.23 | (0) ? [v0] : ? [v1] : ( ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & activity(tptp0) & arboreal(v0) & subactivity_occurrence(v0, v1) & atomic(tptp1) & atomic(tptp2) & atomic(tptp4) & atomic(tptp3) & occurrence_of(v1, tptp0) & ~ leaf_occ(v0, v1) & ~ atomic(tptp0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v4 | ~ min_precedes(v5, v4, v2) | ~ leaf_occ(v6, v3) | ~ root_occ(v5, v3) | ~ subactivity_occurrence(v4, v3) | ~ occurrence_of(v3, v2) | min_precedes(v4, v6, v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ arboreal(v5) | ~ arboreal(v4) | ~ subactivity_occurrence(v5, v3) | ~ subactivity_occurrence(v4, v3) | ~ occurrence_of(v3, v2) | min_precedes(v5, v4, v2) | min_precedes(v4, v5, v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ arboreal(v4) | ~ leaf_occ(v5, v3) | ~ subactivity_occurrence(v4, v3) | ~ occurrence_of(v3, 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] : ( ~ precedes(v3, v4) | ~ min_precedes(v2, v4, v5) | ~ min_precedes(v2, v3, v5) | min_precedes(v3, v4, v5)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v5, v3, v4) | ~ root_occ(v3, v2) | ~ occurrence_of(v2, v4)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v3, v5, v4) | ~ leaf_occ(v3, v2) | ~ occurrence_of(v2, v4)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v2, v3, v4) | ~ subactivity_occurrence(v3, v5) | ~ occurrence_of(v5, v4) | subactivity_occurrence(v2, v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ occurrence_of(v2, v4) | ~ occurrence_of(v2, v3)) & ! [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] : ( ~ 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(v3, v4) | ~ atomic(v4) | ~ occurrence_of(v2, v4) | atocc(v2, v3)) & ! [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] : (subactivity_occurrence(v4, v5) & subactivity_occurrence(v3, v5) & occurrence_of(v5, v2))) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v2, v3, v4) | ~ root(v3, v4)) & ! [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] : ! [v4] : ( ~ min_precedes(v2, v3, v4) | precedes(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v2, v3, v4) | ? [v5] : (min_precedes(v5, v3, v4) & root(v5, v4))) & ! [v2] : ! [v3] : ! [v4] : ( ~ subactivity_occurrence(v2, v3) | ~ root(v2, v4) | ~ occurrence_of(v3, v4) | root_occ(v2, v3)) & ! [v2] : ! [v3] : ( ~ next_subocc(v0, v2, tptp0) | ~ leaf(v3, tptp0) | ~ min_precedes(v2, v3, tptp0) | ~ occurrence_of(v3, tptp1) | ~ occurrence_of(v2, tptp3)) & ! [v2] : ! [v3] : ( ~ next_subocc(v0, v2, tptp0) | ~ leaf(v3, tptp0) | ~ min_precedes(v2, v3, tptp0) | ~ occurrence_of(v3, tptp2) | ~ occurrence_of(v2, tptp3)) & ! [v2] : ! [v3] : ( ~ precedes(v2, v3) | earlier(v2, v3)) & ! [v2] : ! [v3] : ( ~ precedes(v2, v3) | legal(v3)) & ! [v2] : ! [v3] : ( ~ earlier(v3, v2) | ~ earlier(v2, v3)) & ! [v2] : ! [v3] : ( ~ earlier(v2, v3) | ~ legal(v3) | precedes(v2, v3)) & ! [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] : ( ~ atocc(v2, v3) | ? [v4] : (subactivity(v3, v4) & atomic(v4) & occurrence_of(v2, v4))) & ! [v2] : ! [v3] : ( ~ arboreal(v2) | ~ subactivity_occurrence(v2, v3) | ~ occurrence_of(v3, tptp0) | leaf_occ(v2, v3) | ? [v4] : ? [v5] : ? [v6] : (next_subocc(v5, v6, tptp0) & next_subocc(v4, v5, tptp0) & next_subocc(v2, v4, tptp0) & leaf(v6, tptp0) & occurrence_of(v5, tptp4) & occurrence_of(v4, tptp3) & (occurrence_of(v6, tptp1) | occurrence_of(v6, tptp2)))) & ! [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] : ( ~ root_occ(v2, v3) | ? [v4] : (subactivity_occurrence(v2, v3) & root(v2, v4) & occurrence_of(v3, v4))) & ! [v2] : ! [v3] : ( ~ subactivity_occurrence(v2, v3) | activity_occurrence(v3)) & ! [v2] : ! [v3] : ( ~ subactivity_occurrence(v2, v3) | activity_occurrence(v2)) & ! [v2] : ! [v3] : ( ~ root(v3, v2) | ? [v4] : (atocc(v3, v4) & subactivity(v4, v2))) & ! [v2] : ! [v3] : ( ~ root(v2, v3) | legal(v2)) & ! [v2] : ! [v3] : ( ~ root(v2, v3) | leaf(v2, v3) | ? [v4] : min_precedes(v2, v4, v3)) & ! [v2] : ! [v3] : ( ~ atomic(v3) | ~ occurrence_of(v2, v3) | arboreal(v2)) & ! [v2] : ! [v3] : ( ~ occurrence_of(v3, v2) | activity_occurrence(v3)) & ! [v2] : ! [v3] : ( ~ occurrence_of(v3, v2) | activity(v2)) & ! [v2] : ! [v3] : ( ~ occurrence_of(v3, v2) | atomic(v2) | ? [v4] : (subactivity_occurrence(v4, v3) & root(v4, v2))) & ! [v2] : ( ~ legal(v2) | arboreal(v2)) & ! [v2] : ( ~ activity_occurrence(v2) | ? [v3] : (activity(v3) & occurrence_of(v2, v3))))
% 14.96/4.26 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 14.96/4.26 | (1) ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & activity(tptp0) & arboreal(all_0_1_1) & subactivity_occurrence(all_0_1_1, all_0_0_0) & 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] : ! [v4] : (v4 = v2 | ~ min_precedes(v3, v2, v0) | ~ leaf_occ(v4, v1) | ~ root_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v4, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v3) | ~ arboreal(v2) | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v2) | ~ leaf_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, 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] : ( ~ precedes(v1, v2) | ~ min_precedes(v0, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v1, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v3, v1, v2) | ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v3, v2) | ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v0, v1, v2) | ~ subactivity_occurrence(v1, v3) | ~ occurrence_of(v3, v2) | subactivity_occurrence(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1)) & ! [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] : ( ~ 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(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1)) & ! [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] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ~ root(v1, v2)) & ! [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] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & root(v3, v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1)) & ! [v0] : ! [v1] : ( ~ next_subocc(all_0_1_1, v0, tptp0) | ~ leaf(v1, tptp0) | ~ min_precedes(v0, v1, tptp0) | ~ occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3)) & ! [v0] : ! [v1] : ( ~ next_subocc(all_0_1_1, v0, tptp0) | ~ leaf(v1, tptp0) | ~ min_precedes(v0, v1, tptp0) | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0, tptp3)) & ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1)) & ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1)) & ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1)) & ! [v0] : ! [v1] : ( ~ earlier(v0, v1) | ~ legal(v1) | precedes(v0, v1)) & ! [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] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2))) & ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, tptp0) | leaf_occ(v0, v1) | ? [v2] : ? [v3] : ? [v4] : (next_subocc(v3, v4, tptp0) & next_subocc(v2, v3, tptp0) & next_subocc(v0, v2, tptp0) & leaf(v4, tptp0) & occurrence_of(v3, tptp4) & occurrence_of(v2, tptp3) & (occurrence_of(v4, tptp1) | occurrence_of(v4, tptp2)))) & ! [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] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2))) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0)) & ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (atocc(v1, v2) & subactivity(v2, v0))) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0)) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1)) & ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0))) & ! [v0] : ( ~ legal(v0) | arboreal(v0)) & ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1)))
% 14.96/4.27 |
% 14.96/4.27 | Applying alpha-rule on (1) yields:
% 14.96/4.27 | (2) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1))
% 14.96/4.27 | (3) ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2)))
% 14.96/4.27 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0)))
% 14.96/4.27 | (5) ! [v0] : ! [v1] : ( ~ next_subocc(all_0_1_1, v0, tptp0) | ~ leaf(v1, tptp0) | ~ min_precedes(v0, v1, tptp0) | ~ occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3))
% 14.96/4.27 | (6) ! [v0] : ! [v1] : ( ~ earlier(v0, v1) | ~ legal(v1) | precedes(v0, v1))
% 14.96/4.27 | (7) ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2)))
% 14.96/4.27 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v3, v1, v2) | ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2))
% 14.96/4.27 | (9) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1))
% 14.96/4.27 | (10) ! [v0] : ! [v1] : ( ~ next_subocc(all_0_1_1, v0, tptp0) | ~ leaf(v1, tptp0) | ~ min_precedes(v0, v1, tptp0) | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0, tptp3))
% 14.96/4.27 | (11) ~ (tptp1 = tptp4)
% 14.96/4.27 | (12) ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (atocc(v1, v2) & subactivity(v2, v0)))
% 14.96/4.27 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2))
% 14.96/4.27 | (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)))
% 14.96/4.27 | (15) ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0))
% 14.96/4.27 | (16) ~ atomic(tptp0)
% 14.96/4.27 | (17) ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0))
% 14.96/4.28 | (18) ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1))
% 14.96/4.28 | (19) atomic(tptp4)
% 14.96/4.28 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v2) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, v2) | leaf_occ(v0, v1))
% 14.96/4.28 | (21) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1))
% 14.96/4.28 | (22) atomic(tptp1)
% 14.96/4.28 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1))
% 14.96/4.28 | (24) ~ (tptp4 = tptp3)
% 14.96/4.28 | (25) ~ (tptp1 = tptp2)
% 14.96/4.28 | (26) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1))
% 14.96/4.28 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1))
% 14.96/4.28 | (28) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0))
% 14.96/4.28 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v3) | ~ arboreal(v2) | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0))
% 14.96/4.28 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ~ root(v1, v2))
% 14.96/4.28 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v2) | ~ leaf_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v3, v0))
% 14.96/4.28 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ leaf_occ(v1, v2) | ~ leaf_occ(v0, v2) | ~ occurrence_of(v2, v3) | atomic(v3))
% 14.96/4.28 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v0, v1, v2) | ~ min_precedes(v3, v1, v2) | ~ min_precedes(v0, v3, v2))
% 14.96/4.28 | (34) arboreal(all_0_1_1)
% 14.96/4.28 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ min_precedes(v3, v2, v0) | ~ leaf_occ(v4, v1) | ~ root_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v4, v0))
% 14.96/4.28 | (36) atomic(tptp2)
% 14.96/4.28 | (37) ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, tptp0) | leaf_occ(v0, v1) | ? [v2] : ? [v3] : ? [v4] : (next_subocc(v3, v4, tptp0) & next_subocc(v2, v3, tptp0) & next_subocc(v0, v2, tptp0) & leaf(v4, tptp0) & occurrence_of(v3, tptp4) & occurrence_of(v2, tptp3) & (occurrence_of(v4, tptp1) | occurrence_of(v4, tptp2))))
% 14.96/4.28 | (38) subactivity_occurrence(all_0_1_1, all_0_0_0)
% 14.96/4.28 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1))
% 14.96/4.28 | (40) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) | ? [v2] : min_precedes(v2, v0, v1))
% 14.96/4.28 | (41) ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1))
% 14.96/4.28 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & root(v3, v2)))
% 14.96/4.28 | (43) ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ occurrence_of(v0, v1) | atomic(v1))
% 14.96/4.28 | (44) ~ leaf_occ(all_0_1_1, all_0_0_0)
% 14.96/4.28 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v1) | ~ min_precedes(v0, v2, v1))
% 14.96/4.28 | (46) ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1)))
% 14.96/4.28 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v0, v1, v2) | ~ subactivity_occurrence(v1, v3) | ~ occurrence_of(v3, v2) | subactivity_occurrence(v0, v3))
% 14.96/4.28 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1))
% 14.96/4.28 | (49) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0))
% 14.96/4.28 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0))
% 14.96/4.28 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v3, v2) | ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2))
% 14.96/4.28 | (52) activity(tptp0)
% 14.96/4.28 | (53) occurrence_of(all_0_0_0, tptp0)
% 14.96/4.28 | (54) atomic(tptp3)
% 14.96/4.28 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ earlier(v0, v1) | earlier(v0, v2))
% 14.96/4.28 | (56) ~ (tptp2 = tptp3)
% 14.96/4.28 | (57) ~ (tptp2 = tptp4)
% 14.96/4.28 | (58) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0)))
% 14.96/4.28 | (59) ~ (tptp1 = tptp3)
% 14.96/4.28 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ root_occ(v1, v2) | ~ root_occ(v0, v2) | ~ occurrence_of(v2, v3))
% 14.96/4.28 | (61) ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2)))
% 14.96/4.28 | (62) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1))
% 14.96/4.28 | (63) ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 14.96/4.28 | (64) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) | ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1)))
% 14.96/4.29 | (65) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1))
% 14.96/4.29 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ precedes(v1, v2) | ~ min_precedes(v0, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v1, v2, v3))
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (37) with all_0_0_0, all_0_1_1 and discharging atoms arboreal(all_0_1_1), subactivity_occurrence(all_0_1_1, all_0_0_0), occurrence_of(all_0_0_0, tptp0), ~ leaf_occ(all_0_1_1, all_0_0_0), yields:
% 14.96/4.29 | (67) ? [v0] : ? [v1] : ? [v2] : (next_subocc(v1, v2, tptp0) & next_subocc(v0, v1, tptp0) & next_subocc(all_0_1_1, v0, tptp0) & leaf(v2, tptp0) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 14.96/4.29 |
% 14.96/4.29 | Instantiating (67) with all_11_0_3, all_11_1_4, all_11_2_5 yields:
% 14.96/4.29 | (68) next_subocc(all_11_1_4, all_11_0_3, tptp0) & next_subocc(all_11_2_5, all_11_1_4, tptp0) & next_subocc(all_0_1_1, all_11_2_5, tptp0) & leaf(all_11_0_3, tptp0) & occurrence_of(all_11_1_4, tptp4) & occurrence_of(all_11_2_5, tptp3) & (occurrence_of(all_11_0_3, tptp1) | occurrence_of(all_11_0_3, tptp2))
% 14.96/4.29 |
% 14.96/4.29 | Applying alpha-rule on (68) yields:
% 14.96/4.29 | (69) next_subocc(all_11_1_4, all_11_0_3, tptp0)
% 14.96/4.29 | (70) occurrence_of(all_11_2_5, tptp3)
% 14.96/4.29 | (71) leaf(all_11_0_3, tptp0)
% 14.96/4.29 | (72) occurrence_of(all_11_1_4, tptp4)
% 14.96/4.29 | (73) occurrence_of(all_11_0_3, tptp1) | occurrence_of(all_11_0_3, tptp2)
% 14.96/4.29 | (74) next_subocc(all_0_1_1, all_11_2_5, tptp0)
% 14.96/4.29 | (75) next_subocc(all_11_2_5, all_11_1_4, tptp0)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (13) with tptp0, all_11_0_3, all_11_1_4 and discharging atoms next_subocc(all_11_1_4, all_11_0_3, tptp0), yields:
% 14.96/4.29 | (76) min_precedes(all_11_1_4, all_11_0_3, tptp0)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (13) with tptp0, all_11_1_4, all_11_2_5 and discharging atoms next_subocc(all_11_2_5, all_11_1_4, tptp0), yields:
% 14.96/4.29 | (77) min_precedes(all_11_2_5, all_11_1_4, tptp0)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (13) with tptp0, all_11_2_5, all_0_1_1 and discharging atoms next_subocc(all_0_1_1, all_11_2_5, tptp0), yields:
% 14.96/4.29 | (78) min_precedes(all_0_1_1, all_11_2_5, tptp0)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (64) with tptp0, all_11_0_3 and discharging atoms leaf(all_11_0_3, tptp0), ~ atomic(tptp0), yields:
% 14.96/4.29 | (79) ? [v0] : (leaf_occ(all_11_0_3, v0) & occurrence_of(v0, tptp0))
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (65) with all_11_2_5, tptp3 and discharging atoms occurrence_of(all_11_2_5, tptp3), yields:
% 14.96/4.29 | (80) activity_occurrence(all_11_2_5)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating (79) with all_21_0_7 yields:
% 14.96/4.29 | (81) leaf_occ(all_11_0_3, all_21_0_7) & occurrence_of(all_21_0_7, tptp0)
% 14.96/4.29 |
% 14.96/4.29 | Applying alpha-rule on (81) yields:
% 14.96/4.29 | (82) leaf_occ(all_11_0_3, all_21_0_7)
% 14.96/4.29 | (83) occurrence_of(all_21_0_7, tptp0)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (46) with all_11_2_5 and discharging atoms activity_occurrence(all_11_2_5), yields:
% 14.96/4.29 | (84) ? [v0] : (activity(v0) & occurrence_of(all_11_2_5, v0))
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (4) with all_11_0_3, all_11_1_4, tptp0 and discharging atoms min_precedes(all_11_1_4, all_11_0_3, tptp0), yields:
% 14.96/4.29 | (85) ? [v0] : (subactivity_occurrence(all_11_0_3, v0) & subactivity_occurrence(all_11_1_4, v0) & occurrence_of(v0, tptp0))
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (23) with tptp0, all_11_0_3, all_11_1_4 and discharging atoms min_precedes(all_11_1_4, all_11_0_3, tptp0), yields:
% 14.96/4.29 | (86) precedes(all_11_1_4, all_11_0_3)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (42) with tptp0, all_11_0_3, all_11_1_4 and discharging atoms min_precedes(all_11_1_4, all_11_0_3, tptp0), yields:
% 14.96/4.29 | (87) ? [v0] : (min_precedes(v0, all_11_0_3, tptp0) & root(v0, tptp0))
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (4) with all_11_1_4, all_11_2_5, tptp0 and discharging atoms min_precedes(all_11_2_5, all_11_1_4, tptp0), yields:
% 14.96/4.29 | (88) ? [v0] : (subactivity_occurrence(all_11_1_4, v0) & subactivity_occurrence(all_11_2_5, v0) & occurrence_of(v0, tptp0))
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (23) with tptp0, all_11_1_4, all_11_2_5 and discharging atoms min_precedes(all_11_2_5, all_11_1_4, tptp0), yields:
% 14.96/4.29 | (89) precedes(all_11_2_5, all_11_1_4)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (42) with tptp0, all_11_1_4, all_11_2_5 and discharging atoms min_precedes(all_11_2_5, all_11_1_4, tptp0), yields:
% 14.96/4.29 | (90) ? [v0] : (min_precedes(v0, all_11_1_4, tptp0) & root(v0, tptp0))
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (42) with tptp0, all_11_2_5, all_0_1_1 and discharging atoms min_precedes(all_0_1_1, all_11_2_5, tptp0), yields:
% 14.96/4.29 | (91) ? [v0] : (min_precedes(v0, all_11_2_5, tptp0) & root(v0, tptp0))
% 14.96/4.29 |
% 14.96/4.29 | Instantiating formula (3) with all_21_0_7, all_11_0_3 and discharging atoms leaf_occ(all_11_0_3, all_21_0_7), yields:
% 14.96/4.29 | (92) ? [v0] : (leaf(all_11_0_3, v0) & subactivity_occurrence(all_11_0_3, all_21_0_7) & occurrence_of(all_21_0_7, v0))
% 14.96/4.29 |
% 14.96/4.29 | Instantiating (88) with all_39_0_11 yields:
% 14.96/4.29 | (93) subactivity_occurrence(all_11_1_4, all_39_0_11) & subactivity_occurrence(all_11_2_5, all_39_0_11) & occurrence_of(all_39_0_11, tptp0)
% 14.96/4.29 |
% 14.96/4.29 | Applying alpha-rule on (93) yields:
% 14.96/4.29 | (94) subactivity_occurrence(all_11_1_4, all_39_0_11)
% 14.96/4.29 | (95) subactivity_occurrence(all_11_2_5, all_39_0_11)
% 14.96/4.29 | (96) occurrence_of(all_39_0_11, tptp0)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating (90) with all_41_0_12 yields:
% 14.96/4.29 | (97) min_precedes(all_41_0_12, all_11_1_4, tptp0) & root(all_41_0_12, tptp0)
% 14.96/4.29 |
% 14.96/4.29 | Applying alpha-rule on (97) yields:
% 14.96/4.29 | (98) min_precedes(all_41_0_12, all_11_1_4, tptp0)
% 14.96/4.29 | (99) root(all_41_0_12, tptp0)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating (84) with all_43_0_13 yields:
% 14.96/4.29 | (100) activity(all_43_0_13) & occurrence_of(all_11_2_5, all_43_0_13)
% 14.96/4.29 |
% 14.96/4.29 | Applying alpha-rule on (100) yields:
% 14.96/4.29 | (101) activity(all_43_0_13)
% 14.96/4.29 | (102) occurrence_of(all_11_2_5, all_43_0_13)
% 14.96/4.29 |
% 14.96/4.29 | Instantiating (87) with all_45_0_14 yields:
% 14.96/4.29 | (103) min_precedes(all_45_0_14, all_11_0_3, tptp0) & root(all_45_0_14, tptp0)
% 14.96/4.30 |
% 14.96/4.30 | Applying alpha-rule on (103) yields:
% 14.96/4.30 | (104) min_precedes(all_45_0_14, all_11_0_3, tptp0)
% 14.96/4.30 | (105) root(all_45_0_14, tptp0)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating (92) with all_53_0_18 yields:
% 14.96/4.30 | (106) leaf(all_11_0_3, all_53_0_18) & subactivity_occurrence(all_11_0_3, all_21_0_7) & occurrence_of(all_21_0_7, all_53_0_18)
% 14.96/4.30 |
% 14.96/4.30 | Applying alpha-rule on (106) yields:
% 14.96/4.30 | (107) leaf(all_11_0_3, all_53_0_18)
% 14.96/4.30 | (108) subactivity_occurrence(all_11_0_3, all_21_0_7)
% 14.96/4.30 | (109) occurrence_of(all_21_0_7, all_53_0_18)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating (91) with all_55_0_19 yields:
% 14.96/4.30 | (110) min_precedes(all_55_0_19, all_11_2_5, tptp0) & root(all_55_0_19, tptp0)
% 14.96/4.30 |
% 14.96/4.30 | Applying alpha-rule on (110) yields:
% 14.96/4.30 | (111) min_precedes(all_55_0_19, all_11_2_5, tptp0)
% 14.96/4.30 | (112) root(all_55_0_19, tptp0)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating (85) with all_57_0_20 yields:
% 14.96/4.30 | (113) subactivity_occurrence(all_11_0_3, all_57_0_20) & subactivity_occurrence(all_11_1_4, all_57_0_20) & occurrence_of(all_57_0_20, tptp0)
% 14.96/4.30 |
% 14.96/4.30 | Applying alpha-rule on (113) yields:
% 14.96/4.30 | (114) subactivity_occurrence(all_11_0_3, all_57_0_20)
% 14.96/4.30 | (115) subactivity_occurrence(all_11_1_4, all_57_0_20)
% 14.96/4.30 | (116) occurrence_of(all_57_0_20, tptp0)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (9) with all_53_0_18, tptp0, all_21_0_7 and discharging atoms occurrence_of(all_21_0_7, all_53_0_18), occurrence_of(all_21_0_7, tptp0), yields:
% 14.96/4.30 | (117) all_53_0_18 = tptp0
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (9) with all_43_0_13, tptp3, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_43_0_13), occurrence_of(all_11_2_5, tptp3), yields:
% 14.96/4.30 | (118) all_43_0_13 = tptp3
% 14.96/4.30 |
% 14.96/4.30 | From (117) and (107) follows:
% 14.96/4.30 | (71) leaf(all_11_0_3, tptp0)
% 14.96/4.30 |
% 14.96/4.30 | From (118) and (102) follows:
% 14.96/4.30 | (70) occurrence_of(all_11_2_5, tptp3)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (26) with all_11_0_3, all_11_1_4 and discharging atoms precedes(all_11_1_4, all_11_0_3), yields:
% 14.96/4.30 | (121) earlier(all_11_1_4, all_11_0_3)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (21) with all_11_0_3, all_11_1_4 and discharging atoms precedes(all_11_1_4, all_11_0_3), yields:
% 14.96/4.30 | (122) legal(all_11_0_3)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (26) with all_11_1_4, all_11_2_5 and discharging atoms precedes(all_11_2_5, all_11_1_4), yields:
% 14.96/4.30 | (123) earlier(all_11_2_5, all_11_1_4)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (42) with tptp0, all_11_2_5, all_55_0_19 and discharging atoms min_precedes(all_55_0_19, all_11_2_5, tptp0), yields:
% 14.96/4.30 | (91) ? [v0] : (min_precedes(v0, all_11_2_5, tptp0) & root(v0, tptp0))
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (4) with all_11_0_3, all_45_0_14, tptp0 and discharging atoms min_precedes(all_45_0_14, all_11_0_3, tptp0), yields:
% 14.96/4.30 | (125) ? [v0] : (subactivity_occurrence(all_45_0_14, v0) & subactivity_occurrence(all_11_0_3, v0) & occurrence_of(v0, tptp0))
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (42) with tptp0, all_11_0_3, all_45_0_14 and discharging atoms min_precedes(all_45_0_14, all_11_0_3, tptp0), yields:
% 14.96/4.30 | (87) ? [v0] : (min_precedes(v0, all_11_0_3, tptp0) & root(v0, tptp0))
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (42) with tptp0, all_11_1_4, all_41_0_12 and discharging atoms min_precedes(all_41_0_12, all_11_1_4, tptp0), yields:
% 14.96/4.30 | (90) ? [v0] : (min_precedes(v0, all_11_1_4, tptp0) & root(v0, tptp0))
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (49) with all_21_0_7, all_11_0_3 and discharging atoms subactivity_occurrence(all_11_0_3, all_21_0_7), yields:
% 14.96/4.30 | (128) activity_occurrence(all_11_0_3)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (47) with all_57_0_20, tptp0, all_11_0_3, all_45_0_14 and discharging atoms min_precedes(all_45_0_14, all_11_0_3, tptp0), subactivity_occurrence(all_11_0_3, all_57_0_20), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.30 | (129) subactivity_occurrence(all_45_0_14, all_57_0_20)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (47) with all_57_0_20, tptp0, all_11_1_4, all_41_0_12 and discharging atoms min_precedes(all_41_0_12, all_11_1_4, tptp0), subactivity_occurrence(all_11_1_4, all_57_0_20), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.30 | (130) subactivity_occurrence(all_41_0_12, all_57_0_20)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (20) with tptp0, all_57_0_20, all_11_0_3 and discharging atoms leaf(all_11_0_3, tptp0), subactivity_occurrence(all_11_0_3, all_57_0_20), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.30 | (131) leaf_occ(all_11_0_3, all_57_0_20)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (65) with all_57_0_20, tptp0 and discharging atoms occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.30 | (132) activity_occurrence(all_57_0_20)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (58) with all_57_0_20, tptp0 and discharging atoms occurrence_of(all_57_0_20, tptp0), ~ atomic(tptp0), yields:
% 14.96/4.30 | (133) ? [v0] : (subactivity_occurrence(v0, all_57_0_20) & root(v0, tptp0))
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (47) with all_39_0_11, tptp0, all_11_2_5, all_55_0_19 and discharging atoms min_precedes(all_55_0_19, all_11_2_5, tptp0), subactivity_occurrence(all_11_2_5, all_39_0_11), occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.30 | (134) subactivity_occurrence(all_55_0_19, all_39_0_11)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (47) with all_39_0_11, tptp0, all_11_1_4, all_41_0_12 and discharging atoms min_precedes(all_41_0_12, all_11_1_4, tptp0), subactivity_occurrence(all_11_1_4, all_39_0_11), occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.30 | (135) subactivity_occurrence(all_41_0_12, all_39_0_11)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (65) with all_39_0_11, tptp0 and discharging atoms occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.30 | (136) activity_occurrence(all_39_0_11)
% 14.96/4.30 |
% 14.96/4.30 | Instantiating formula (58) with all_39_0_11, tptp0 and discharging atoms occurrence_of(all_39_0_11, tptp0), ~ atomic(tptp0), yields:
% 14.96/4.30 | (137) ? [v0] : (subactivity_occurrence(v0, all_39_0_11) & root(v0, tptp0))
% 14.96/4.30 |
% 14.96/4.30 | Instantiating (133) with all_77_0_25 yields:
% 14.96/4.30 | (138) subactivity_occurrence(all_77_0_25, all_57_0_20) & root(all_77_0_25, tptp0)
% 14.96/4.30 |
% 14.96/4.30 | Applying alpha-rule on (138) yields:
% 14.96/4.31 | (139) subactivity_occurrence(all_77_0_25, all_57_0_20)
% 14.96/4.31 | (140) root(all_77_0_25, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating (91) with all_81_0_27 yields:
% 14.96/4.31 | (141) min_precedes(all_81_0_27, all_11_2_5, tptp0) & root(all_81_0_27, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Applying alpha-rule on (141) yields:
% 14.96/4.31 | (142) min_precedes(all_81_0_27, all_11_2_5, tptp0)
% 14.96/4.31 | (143) root(all_81_0_27, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating (137) with all_85_0_29 yields:
% 14.96/4.31 | (144) subactivity_occurrence(all_85_0_29, all_39_0_11) & root(all_85_0_29, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Applying alpha-rule on (144) yields:
% 14.96/4.31 | (145) subactivity_occurrence(all_85_0_29, all_39_0_11)
% 14.96/4.31 | (146) root(all_85_0_29, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating (125) with all_91_0_32 yields:
% 14.96/4.31 | (147) subactivity_occurrence(all_45_0_14, all_91_0_32) & subactivity_occurrence(all_11_0_3, all_91_0_32) & occurrence_of(all_91_0_32, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Applying alpha-rule on (147) yields:
% 14.96/4.31 | (148) subactivity_occurrence(all_45_0_14, all_91_0_32)
% 14.96/4.31 | (149) subactivity_occurrence(all_11_0_3, all_91_0_32)
% 14.96/4.31 | (150) occurrence_of(all_91_0_32, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating (90) with all_93_0_33 yields:
% 14.96/4.31 | (151) min_precedes(all_93_0_33, all_11_1_4, tptp0) & root(all_93_0_33, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Applying alpha-rule on (151) yields:
% 14.96/4.31 | (152) min_precedes(all_93_0_33, all_11_1_4, tptp0)
% 14.96/4.31 | (153) root(all_93_0_33, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating (87) with all_97_0_35 yields:
% 14.96/4.31 | (154) min_precedes(all_97_0_35, all_11_0_3, tptp0) & root(all_97_0_35, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Applying alpha-rule on (154) yields:
% 14.96/4.31 | (155) min_precedes(all_97_0_35, all_11_0_3, tptp0)
% 14.96/4.31 | (156) root(all_97_0_35, tptp0)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (55) with all_11_0_3, all_11_1_4, all_11_2_5 and discharging atoms earlier(all_11_1_4, all_11_0_3), earlier(all_11_2_5, all_11_1_4), yields:
% 14.96/4.31 | (157) earlier(all_11_2_5, all_11_0_3)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (46) with all_57_0_20 and discharging atoms activity_occurrence(all_57_0_20), yields:
% 14.96/4.31 | (158) ? [v0] : (activity(v0) & occurrence_of(all_57_0_20, v0))
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (46) with all_39_0_11 and discharging atoms activity_occurrence(all_39_0_11), yields:
% 14.96/4.31 | (159) ? [v0] : (activity(v0) & occurrence_of(all_39_0_11, v0))
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (46) with all_11_0_3 and discharging atoms activity_occurrence(all_11_0_3), yields:
% 14.96/4.31 | (160) ? [v0] : (activity(v0) & occurrence_of(all_11_0_3, v0))
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (47) with all_57_0_20, tptp0, all_11_0_3, all_97_0_35 and discharging atoms min_precedes(all_97_0_35, all_11_0_3, tptp0), subactivity_occurrence(all_11_0_3, all_57_0_20), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.31 | (161) subactivity_occurrence(all_97_0_35, all_57_0_20)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (47) with all_57_0_20, tptp0, all_11_1_4, all_93_0_33 and discharging atoms min_precedes(all_93_0_33, all_11_1_4, tptp0), subactivity_occurrence(all_11_1_4, all_57_0_20), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.31 | (162) subactivity_occurrence(all_93_0_33, all_57_0_20)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (47) with all_39_0_11, tptp0, all_11_1_4, all_93_0_33 and discharging atoms min_precedes(all_93_0_33, all_11_1_4, tptp0), subactivity_occurrence(all_11_1_4, all_39_0_11), occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.31 | (163) subactivity_occurrence(all_93_0_33, all_39_0_11)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (47) with all_39_0_11, tptp0, all_11_2_5, all_81_0_27 and discharging atoms min_precedes(all_81_0_27, all_11_2_5, tptp0), subactivity_occurrence(all_11_2_5, all_39_0_11), occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.31 | (164) subactivity_occurrence(all_81_0_27, all_39_0_11)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (3) with all_57_0_20, all_11_0_3 and discharging atoms leaf_occ(all_11_0_3, all_57_0_20), yields:
% 14.96/4.31 | (165) ? [v0] : (leaf(all_11_0_3, v0) & subactivity_occurrence(all_11_0_3, all_57_0_20) & occurrence_of(all_57_0_20, v0))
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (62) with tptp0, all_39_0_11, all_55_0_19 and discharging atoms subactivity_occurrence(all_55_0_19, all_39_0_11), root(all_55_0_19, tptp0), occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.31 | (166) root_occ(all_55_0_19, all_39_0_11)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (62) with tptp0, all_57_0_20, all_45_0_14 and discharging atoms subactivity_occurrence(all_45_0_14, all_57_0_20), root(all_45_0_14, tptp0), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.31 | (167) root_occ(all_45_0_14, all_57_0_20)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (62) with tptp0, all_57_0_20, all_41_0_12 and discharging atoms subactivity_occurrence(all_41_0_12, all_57_0_20), root(all_41_0_12, tptp0), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.31 | (168) root_occ(all_41_0_12, all_57_0_20)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (62) with tptp0, all_39_0_11, all_41_0_12 and discharging atoms subactivity_occurrence(all_41_0_12, all_39_0_11), root(all_41_0_12, tptp0), occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.31 | (169) root_occ(all_41_0_12, all_39_0_11)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (62) with tptp0, all_39_0_11, all_85_0_29 and discharging atoms subactivity_occurrence(all_85_0_29, all_39_0_11), root(all_85_0_29, tptp0), occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.31 | (170) root_occ(all_85_0_29, all_39_0_11)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (62) with tptp0, all_57_0_20, all_77_0_25 and discharging atoms subactivity_occurrence(all_77_0_25, all_57_0_20), root(all_77_0_25, tptp0), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.31 | (171) root_occ(all_77_0_25, all_57_0_20)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (47) with all_91_0_32, tptp0, all_11_0_3, all_97_0_35 and discharging atoms min_precedes(all_97_0_35, all_11_0_3, tptp0), subactivity_occurrence(all_11_0_3, all_91_0_32), occurrence_of(all_91_0_32, tptp0), yields:
% 14.96/4.31 | (172) subactivity_occurrence(all_97_0_35, all_91_0_32)
% 14.96/4.31 |
% 14.96/4.31 | Instantiating formula (20) with tptp0, all_91_0_32, all_11_0_3 and discharging atoms leaf(all_11_0_3, tptp0), subactivity_occurrence(all_11_0_3, all_91_0_32), occurrence_of(all_91_0_32, tptp0), yields:
% 14.96/4.31 | (173) leaf_occ(all_11_0_3, all_91_0_32)
% 14.96/4.32 |
% 14.96/4.32 | Instantiating formula (62) with tptp0, all_91_0_32, all_45_0_14 and discharging atoms subactivity_occurrence(all_45_0_14, all_91_0_32), root(all_45_0_14, tptp0), occurrence_of(all_91_0_32, tptp0), yields:
% 14.96/4.32 | (174) root_occ(all_45_0_14, all_91_0_32)
% 14.96/4.32 |
% 14.96/4.32 | Instantiating formula (65) with all_91_0_32, tptp0 and discharging atoms occurrence_of(all_91_0_32, tptp0), yields:
% 14.96/4.32 | (175) activity_occurrence(all_91_0_32)
% 14.96/4.32 |
% 14.96/4.32 | Instantiating formula (58) with all_91_0_32, tptp0 and discharging atoms occurrence_of(all_91_0_32, tptp0), ~ atomic(tptp0), yields:
% 14.96/4.32 | (176) ? [v0] : (subactivity_occurrence(v0, all_91_0_32) & root(v0, tptp0))
% 14.96/4.32 |
% 14.96/4.32 | Instantiating (160) with all_131_0_47 yields:
% 14.96/4.32 | (177) activity(all_131_0_47) & occurrence_of(all_11_0_3, all_131_0_47)
% 14.96/4.32 |
% 14.96/4.32 | Applying alpha-rule on (177) yields:
% 14.96/4.32 | (178) activity(all_131_0_47)
% 14.96/4.32 | (179) occurrence_of(all_11_0_3, all_131_0_47)
% 14.96/4.32 |
% 14.96/4.32 | Instantiating (176) with all_133_0_48 yields:
% 14.96/4.32 | (180) subactivity_occurrence(all_133_0_48, all_91_0_32) & root(all_133_0_48, tptp0)
% 14.96/4.32 |
% 14.96/4.32 | Applying alpha-rule on (180) yields:
% 14.96/4.32 | (181) subactivity_occurrence(all_133_0_48, all_91_0_32)
% 14.96/4.32 | (182) root(all_133_0_48, tptp0)
% 14.96/4.32 |
% 14.96/4.32 | Instantiating (159) with all_135_0_49 yields:
% 14.96/4.32 | (183) activity(all_135_0_49) & occurrence_of(all_39_0_11, all_135_0_49)
% 14.96/4.32 |
% 14.96/4.32 | Applying alpha-rule on (183) yields:
% 14.96/4.32 | (184) activity(all_135_0_49)
% 14.96/4.32 | (185) occurrence_of(all_39_0_11, all_135_0_49)
% 14.96/4.32 |
% 14.96/4.32 | Instantiating (165) with all_137_0_50 yields:
% 14.96/4.32 | (186) leaf(all_11_0_3, all_137_0_50) & subactivity_occurrence(all_11_0_3, all_57_0_20) & occurrence_of(all_57_0_20, all_137_0_50)
% 14.96/4.32 |
% 14.96/4.32 | Applying alpha-rule on (186) yields:
% 14.96/4.32 | (187) leaf(all_11_0_3, all_137_0_50)
% 14.96/4.32 | (114) subactivity_occurrence(all_11_0_3, all_57_0_20)
% 14.96/4.32 | (189) occurrence_of(all_57_0_20, all_137_0_50)
% 14.96/4.32 |
% 14.96/4.32 | Instantiating (158) with all_145_0_54 yields:
% 14.96/4.32 | (190) activity(all_145_0_54) & occurrence_of(all_57_0_20, all_145_0_54)
% 14.96/4.32 |
% 14.96/4.32 | Applying alpha-rule on (190) yields:
% 14.96/4.32 | (191) activity(all_145_0_54)
% 14.96/4.32 | (192) occurrence_of(all_57_0_20, all_145_0_54)
% 14.96/4.32 |
% 14.96/4.32 | Instantiating formula (9) with all_145_0_54, tptp0, all_57_0_20 and discharging atoms occurrence_of(all_57_0_20, all_145_0_54), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.32 | (193) all_145_0_54 = tptp0
% 14.96/4.32 |
% 14.96/4.32 | Instantiating formula (60) with all_137_0_50, all_57_0_20, all_77_0_25, all_45_0_14 and discharging atoms root_occ(all_77_0_25, all_57_0_20), root_occ(all_45_0_14, all_57_0_20), occurrence_of(all_57_0_20, all_137_0_50), yields:
% 14.96/4.32 | (194) all_77_0_25 = all_45_0_14
% 14.96/4.32 |
% 14.96/4.32 | Instantiating formula (60) with all_137_0_50, all_57_0_20, all_77_0_25, all_41_0_12 and discharging atoms root_occ(all_77_0_25, all_57_0_20), root_occ(all_41_0_12, all_57_0_20), occurrence_of(all_57_0_20, all_137_0_50), yields:
% 14.96/4.32 | (195) all_77_0_25 = all_41_0_12
% 14.96/4.32 |
% 14.96/4.32 | Instantiating formula (9) with all_137_0_50, all_145_0_54, all_57_0_20 and discharging atoms occurrence_of(all_57_0_20, all_145_0_54), occurrence_of(all_57_0_20, all_137_0_50), yields:
% 14.96/4.32 | (196) all_145_0_54 = all_137_0_50
% 14.96/4.32 |
% 14.96/4.32 | Instantiating formula (60) with all_135_0_49, all_39_0_11, all_85_0_29, all_55_0_19 and discharging atoms root_occ(all_85_0_29, all_39_0_11), root_occ(all_55_0_19, all_39_0_11), occurrence_of(all_39_0_11, all_135_0_49), yields:
% 14.96/4.32 | (197) all_85_0_29 = all_55_0_19
% 14.96/4.32 |
% 14.96/4.32 | Instantiating formula (60) with all_135_0_49, all_39_0_11, all_85_0_29, all_41_0_12 and discharging atoms root_occ(all_85_0_29, all_39_0_11), root_occ(all_41_0_12, all_39_0_11), occurrence_of(all_39_0_11, all_135_0_49), yields:
% 14.96/4.32 | (198) all_85_0_29 = all_41_0_12
% 14.96/4.32 |
% 14.96/4.32 | Instantiating formula (9) with all_135_0_49, tptp0, all_39_0_11 and discharging atoms occurrence_of(all_39_0_11, all_135_0_49), occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.32 | (199) all_135_0_49 = tptp0
% 14.96/4.32 |
% 14.96/4.32 | Combining equations (193,196) yields a new equation:
% 14.96/4.32 | (200) all_137_0_50 = tptp0
% 14.96/4.32 |
% 14.96/4.32 | Combining equations (197,198) yields a new equation:
% 14.96/4.32 | (201) all_55_0_19 = all_41_0_12
% 14.96/4.32 |
% 14.96/4.32 | Simplifying 201 yields:
% 14.96/4.32 | (202) all_55_0_19 = all_41_0_12
% 14.96/4.32 |
% 14.96/4.32 | Combining equations (194,195) yields a new equation:
% 14.96/4.32 | (203) all_45_0_14 = all_41_0_12
% 14.96/4.32 |
% 14.96/4.32 | Simplifying 203 yields:
% 14.96/4.32 | (204) all_45_0_14 = all_41_0_12
% 14.96/4.32 |
% 14.96/4.32 | From (202) and (166) follows:
% 14.96/4.32 | (169) root_occ(all_41_0_12, all_39_0_11)
% 14.96/4.32 |
% 14.96/4.32 | From (204) and (174) follows:
% 14.96/4.32 | (206) root_occ(all_41_0_12, all_91_0_32)
% 14.96/4.33 |
% 14.96/4.33 | From (204) and (167) follows:
% 14.96/4.33 | (168) root_occ(all_41_0_12, all_57_0_20)
% 14.96/4.33 |
% 14.96/4.33 | From (200) and (189) follows:
% 14.96/4.33 | (116) occurrence_of(all_57_0_20, tptp0)
% 14.96/4.33 |
% 14.96/4.33 | From (199) and (185) follows:
% 14.96/4.33 | (96) occurrence_of(all_39_0_11, tptp0)
% 14.96/4.33 |
% 14.96/4.33 +-Applying beta-rule and splitting (73), into two cases.
% 14.96/4.33 |-Branch one:
% 14.96/4.33 | (210) occurrence_of(all_11_0_3, tptp1)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (9) with tptp1, all_131_0_47, all_11_0_3 and discharging atoms occurrence_of(all_11_0_3, all_131_0_47), occurrence_of(all_11_0_3, tptp1), yields:
% 14.96/4.33 | (211) all_131_0_47 = tptp1
% 14.96/4.33 |
% 14.96/4.33 | From (211) and (179) follows:
% 14.96/4.33 | (210) occurrence_of(all_11_0_3, tptp1)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (6) with all_11_0_3, all_11_2_5 and discharging atoms earlier(all_11_2_5, all_11_0_3), legal(all_11_0_3), yields:
% 14.96/4.33 | (213) precedes(all_11_2_5, all_11_0_3)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (46) with all_91_0_32 and discharging atoms activity_occurrence(all_91_0_32), yields:
% 14.96/4.33 | (214) ? [v0] : (activity(v0) & occurrence_of(all_91_0_32, v0))
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (3) with all_91_0_32, all_11_0_3 and discharging atoms leaf_occ(all_11_0_3, all_91_0_32), yields:
% 14.96/4.33 | (215) ? [v0] : (leaf(all_11_0_3, v0) & subactivity_occurrence(all_11_0_3, all_91_0_32) & occurrence_of(all_91_0_32, v0))
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (7) with all_91_0_32, all_41_0_12 and discharging atoms root_occ(all_41_0_12, all_91_0_32), yields:
% 14.96/4.33 | (216) ? [v0] : (subactivity_occurrence(all_41_0_12, all_91_0_32) & root(all_41_0_12, v0) & occurrence_of(all_91_0_32, v0))
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (7) with all_57_0_20, all_41_0_12 and discharging atoms root_occ(all_41_0_12, all_57_0_20), yields:
% 14.96/4.33 | (217) ? [v0] : (subactivity_occurrence(all_41_0_12, all_57_0_20) & root(all_41_0_12, v0) & occurrence_of(all_57_0_20, v0))
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (7) with all_39_0_11, all_41_0_12 and discharging atoms root_occ(all_41_0_12, all_39_0_11), yields:
% 14.96/4.33 | (218) ? [v0] : (subactivity_occurrence(all_41_0_12, all_39_0_11) & root(all_41_0_12, v0) & occurrence_of(all_39_0_11, v0))
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (62) with tptp0, all_91_0_32, all_97_0_35 and discharging atoms subactivity_occurrence(all_97_0_35, all_91_0_32), root(all_97_0_35, tptp0), occurrence_of(all_91_0_32, tptp0), yields:
% 14.96/4.33 | (219) root_occ(all_97_0_35, all_91_0_32)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (62) with tptp0, all_57_0_20, all_97_0_35 and discharging atoms subactivity_occurrence(all_97_0_35, all_57_0_20), root(all_97_0_35, tptp0), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.33 | (220) root_occ(all_97_0_35, all_57_0_20)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (62) with tptp0, all_57_0_20, all_93_0_33 and discharging atoms subactivity_occurrence(all_93_0_33, all_57_0_20), root(all_93_0_33, tptp0), occurrence_of(all_57_0_20, tptp0), yields:
% 14.96/4.33 | (221) root_occ(all_93_0_33, all_57_0_20)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (62) with tptp0, all_39_0_11, all_93_0_33 and discharging atoms subactivity_occurrence(all_93_0_33, all_39_0_11), root(all_93_0_33, tptp0), occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.33 | (222) root_occ(all_93_0_33, all_39_0_11)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (62) with tptp0, all_39_0_11, all_81_0_27 and discharging atoms subactivity_occurrence(all_81_0_27, all_39_0_11), root(all_81_0_27, tptp0), occurrence_of(all_39_0_11, tptp0), yields:
% 14.96/4.33 | (223) root_occ(all_81_0_27, all_39_0_11)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating formula (62) with tptp0, all_91_0_32, all_133_0_48 and discharging atoms subactivity_occurrence(all_133_0_48, all_91_0_32), root(all_133_0_48, tptp0), occurrence_of(all_91_0_32, tptp0), yields:
% 14.96/4.33 | (224) root_occ(all_133_0_48, all_91_0_32)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating (214) with all_191_0_65 yields:
% 14.96/4.33 | (225) activity(all_191_0_65) & occurrence_of(all_91_0_32, all_191_0_65)
% 14.96/4.33 |
% 14.96/4.33 | Applying alpha-rule on (225) yields:
% 14.96/4.33 | (226) activity(all_191_0_65)
% 14.96/4.33 | (227) occurrence_of(all_91_0_32, all_191_0_65)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating (218) with all_203_0_71 yields:
% 14.96/4.33 | (228) subactivity_occurrence(all_41_0_12, all_39_0_11) & root(all_41_0_12, all_203_0_71) & occurrence_of(all_39_0_11, all_203_0_71)
% 14.96/4.33 |
% 14.96/4.33 | Applying alpha-rule on (228) yields:
% 14.96/4.33 | (135) subactivity_occurrence(all_41_0_12, all_39_0_11)
% 14.96/4.33 | (230) root(all_41_0_12, all_203_0_71)
% 14.96/4.33 | (231) occurrence_of(all_39_0_11, all_203_0_71)
% 14.96/4.33 |
% 14.96/4.33 | Instantiating (216) with all_211_0_75 yields:
% 14.96/4.33 | (232) subactivity_occurrence(all_41_0_12, all_91_0_32) & root(all_41_0_12, all_211_0_75) & occurrence_of(all_91_0_32, all_211_0_75)
% 14.96/4.33 |
% 14.96/4.33 | Applying alpha-rule on (232) yields:
% 14.96/4.33 | (233) subactivity_occurrence(all_41_0_12, all_91_0_32)
% 14.96/4.33 | (234) root(all_41_0_12, all_211_0_75)
% 14.96/4.33 | (235) occurrence_of(all_91_0_32, all_211_0_75)
% 15.45/4.33 |
% 15.45/4.33 | Instantiating (217) with all_221_0_80 yields:
% 15.45/4.34 | (236) subactivity_occurrence(all_41_0_12, all_57_0_20) & root(all_41_0_12, all_221_0_80) & occurrence_of(all_57_0_20, all_221_0_80)
% 15.45/4.34 |
% 15.45/4.34 | Applying alpha-rule on (236) yields:
% 15.45/4.34 | (130) subactivity_occurrence(all_41_0_12, all_57_0_20)
% 15.45/4.34 | (238) root(all_41_0_12, all_221_0_80)
% 15.45/4.34 | (239) occurrence_of(all_57_0_20, all_221_0_80)
% 15.45/4.34 |
% 15.45/4.34 | Instantiating (215) with all_241_0_90 yields:
% 15.45/4.34 | (240) leaf(all_11_0_3, all_241_0_90) & subactivity_occurrence(all_11_0_3, all_91_0_32) & occurrence_of(all_91_0_32, all_241_0_90)
% 15.45/4.34 |
% 15.45/4.34 | Applying alpha-rule on (240) yields:
% 15.45/4.34 | (241) leaf(all_11_0_3, all_241_0_90)
% 15.45/4.34 | (149) subactivity_occurrence(all_11_0_3, all_91_0_32)
% 15.45/4.34 | (243) occurrence_of(all_91_0_32, all_241_0_90)
% 15.45/4.34 |
% 15.45/4.34 | Instantiating formula (9) with all_241_0_90, tptp0, all_91_0_32 and discharging atoms occurrence_of(all_91_0_32, all_241_0_90), occurrence_of(all_91_0_32, tptp0), yields:
% 15.45/4.34 | (244) all_241_0_90 = tptp0
% 15.45/4.34 |
% 15.45/4.34 | Instantiating formula (9) with all_211_0_75, all_241_0_90, all_91_0_32 and discharging atoms occurrence_of(all_91_0_32, all_241_0_90), occurrence_of(all_91_0_32, all_211_0_75), yields:
% 15.45/4.34 | (245) all_241_0_90 = all_211_0_75
% 15.45/4.34 |
% 15.45/4.34 | Instantiating formula (60) with all_191_0_65, all_91_0_32, all_41_0_12, all_133_0_48 and discharging atoms root_occ(all_133_0_48, all_91_0_32), root_occ(all_41_0_12, all_91_0_32), occurrence_of(all_91_0_32, all_191_0_65), yields:
% 15.45/4.34 | (246) all_133_0_48 = all_41_0_12
% 15.45/4.34 |
% 15.45/4.34 | Instantiating formula (60) with all_191_0_65, all_91_0_32, all_133_0_48, all_97_0_35 and discharging atoms root_occ(all_133_0_48, all_91_0_32), root_occ(all_97_0_35, all_91_0_32), occurrence_of(all_91_0_32, all_191_0_65), yields:
% 15.45/4.34 | (247) all_133_0_48 = all_97_0_35
% 15.45/4.34 |
% 15.45/4.34 | Instantiating formula (60) with all_221_0_80, all_57_0_20, all_97_0_35, all_93_0_33 and discharging atoms root_occ(all_97_0_35, all_57_0_20), root_occ(all_93_0_33, all_57_0_20), occurrence_of(all_57_0_20, all_221_0_80), yields:
% 15.45/4.34 | (248) all_97_0_35 = all_93_0_33
% 15.45/4.34 |
% 15.45/4.34 | Instantiating formula (60) with all_203_0_71, all_39_0_11, all_93_0_33, all_81_0_27 and discharging atoms root_occ(all_93_0_33, all_39_0_11), root_occ(all_81_0_27, all_39_0_11), occurrence_of(all_39_0_11, all_203_0_71), yields:
% 15.45/4.34 | (249) all_93_0_33 = all_81_0_27
% 15.45/4.34 |
% 15.45/4.34 | Combining equations (244,245) yields a new equation:
% 15.45/4.34 | (250) all_211_0_75 = tptp0
% 15.45/4.34 |
% 15.45/4.34 | Combining equations (246,247) yields a new equation:
% 15.45/4.34 | (251) all_97_0_35 = all_41_0_12
% 15.45/4.34 |
% 15.45/4.34 | Combining equations (248,251) yields a new equation:
% 15.45/4.34 | (252) all_93_0_33 = all_41_0_12
% 15.45/4.34 |
% 15.45/4.34 | Simplifying 252 yields:
% 15.45/4.34 | (253) all_93_0_33 = all_41_0_12
% 15.45/4.34 |
% 15.45/4.34 | Combining equations (249,253) yields a new equation:
% 15.45/4.34 | (254) all_81_0_27 = all_41_0_12
% 15.45/4.34 |
% 15.45/4.34 | Simplifying 254 yields:
% 15.45/4.34 | (255) all_81_0_27 = all_41_0_12
% 15.45/4.34 |
% 15.45/4.34 | Combining equations (250,245) yields a new equation:
% 15.45/4.34 | (244) all_241_0_90 = tptp0
% 15.45/4.34 |
% 15.45/4.34 | From (244) and (241) follows:
% 15.45/4.34 | (71) leaf(all_11_0_3, tptp0)
% 15.45/4.34 |
% 15.45/4.34 | From (251) and (155) follows:
% 15.45/4.34 | (258) min_precedes(all_41_0_12, all_11_0_3, tptp0)
% 15.45/4.34 |
% 15.45/4.34 | From (255) and (142) follows:
% 15.45/4.34 | (259) min_precedes(all_41_0_12, all_11_2_5, tptp0)
% 15.45/4.34 |
% 15.45/4.34 | Instantiating formula (66) with tptp0, all_11_0_3, all_11_2_5, all_41_0_12 and discharging atoms precedes(all_11_2_5, all_11_0_3), min_precedes(all_41_0_12, all_11_0_3, tptp0), min_precedes(all_41_0_12, all_11_2_5, tptp0), yields:
% 15.45/4.34 | (260) min_precedes(all_11_2_5, all_11_0_3, tptp0)
% 15.45/4.34 |
% 15.45/4.34 | Instantiating formula (5) with all_11_0_3, all_11_2_5 and discharging atoms next_subocc(all_0_1_1, all_11_2_5, tptp0), leaf(all_11_0_3, tptp0), min_precedes(all_11_2_5, all_11_0_3, tptp0), occurrence_of(all_11_0_3, tptp1), occurrence_of(all_11_2_5, tptp3), yields:
% 15.45/4.34 | (261) $false
% 15.45/4.34 |
% 15.45/4.34 |-The branch is then unsatisfiable
% 15.45/4.34 |-Branch two:
% 15.45/4.34 | (262) ~ occurrence_of(all_11_0_3, tptp1)
% 15.45/4.35 | (263) occurrence_of(all_11_0_3, tptp2)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (9) with tptp2, all_131_0_47, all_11_0_3 and discharging atoms occurrence_of(all_11_0_3, all_131_0_47), occurrence_of(all_11_0_3, tptp2), yields:
% 15.45/4.35 | (264) all_131_0_47 = tptp2
% 15.45/4.35 |
% 15.45/4.35 | From (264) and (179) follows:
% 15.45/4.35 | (263) occurrence_of(all_11_0_3, tptp2)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (6) with all_11_0_3, all_11_2_5 and discharging atoms earlier(all_11_2_5, all_11_0_3), legal(all_11_0_3), yields:
% 15.45/4.35 | (213) precedes(all_11_2_5, all_11_0_3)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (46) with all_91_0_32 and discharging atoms activity_occurrence(all_91_0_32), yields:
% 15.45/4.35 | (214) ? [v0] : (activity(v0) & occurrence_of(all_91_0_32, v0))
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (3) with all_91_0_32, all_11_0_3 and discharging atoms leaf_occ(all_11_0_3, all_91_0_32), yields:
% 15.45/4.35 | (215) ? [v0] : (leaf(all_11_0_3, v0) & subactivity_occurrence(all_11_0_3, all_91_0_32) & occurrence_of(all_91_0_32, v0))
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (7) with all_91_0_32, all_41_0_12 and discharging atoms root_occ(all_41_0_12, all_91_0_32), yields:
% 15.45/4.35 | (216) ? [v0] : (subactivity_occurrence(all_41_0_12, all_91_0_32) & root(all_41_0_12, v0) & occurrence_of(all_91_0_32, v0))
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (7) with all_57_0_20, all_41_0_12 and discharging atoms root_occ(all_41_0_12, all_57_0_20), yields:
% 15.45/4.35 | (217) ? [v0] : (subactivity_occurrence(all_41_0_12, all_57_0_20) & root(all_41_0_12, v0) & occurrence_of(all_57_0_20, v0))
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (7) with all_39_0_11, all_41_0_12 and discharging atoms root_occ(all_41_0_12, all_39_0_11), yields:
% 15.45/4.35 | (218) ? [v0] : (subactivity_occurrence(all_41_0_12, all_39_0_11) & root(all_41_0_12, v0) & occurrence_of(all_39_0_11, v0))
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (62) with tptp0, all_91_0_32, all_97_0_35 and discharging atoms subactivity_occurrence(all_97_0_35, all_91_0_32), root(all_97_0_35, tptp0), occurrence_of(all_91_0_32, tptp0), yields:
% 15.45/4.35 | (219) root_occ(all_97_0_35, all_91_0_32)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (62) with tptp0, all_57_0_20, all_97_0_35 and discharging atoms subactivity_occurrence(all_97_0_35, all_57_0_20), root(all_97_0_35, tptp0), occurrence_of(all_57_0_20, tptp0), yields:
% 15.45/4.35 | (220) root_occ(all_97_0_35, all_57_0_20)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (62) with tptp0, all_57_0_20, all_93_0_33 and discharging atoms subactivity_occurrence(all_93_0_33, all_57_0_20), root(all_93_0_33, tptp0), occurrence_of(all_57_0_20, tptp0), yields:
% 15.45/4.35 | (221) root_occ(all_93_0_33, all_57_0_20)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (62) with tptp0, all_39_0_11, all_93_0_33 and discharging atoms subactivity_occurrence(all_93_0_33, all_39_0_11), root(all_93_0_33, tptp0), occurrence_of(all_39_0_11, tptp0), yields:
% 15.45/4.35 | (222) root_occ(all_93_0_33, all_39_0_11)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (62) with tptp0, all_39_0_11, all_81_0_27 and discharging atoms subactivity_occurrence(all_81_0_27, all_39_0_11), root(all_81_0_27, tptp0), occurrence_of(all_39_0_11, tptp0), yields:
% 15.45/4.35 | (223) root_occ(all_81_0_27, all_39_0_11)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating formula (62) with tptp0, all_91_0_32, all_133_0_48 and discharging atoms subactivity_occurrence(all_133_0_48, all_91_0_32), root(all_133_0_48, tptp0), occurrence_of(all_91_0_32, tptp0), yields:
% 15.45/4.35 | (224) root_occ(all_133_0_48, all_91_0_32)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating (214) with all_191_0_232 yields:
% 15.45/4.35 | (278) activity(all_191_0_232) & occurrence_of(all_91_0_32, all_191_0_232)
% 15.45/4.35 |
% 15.45/4.35 | Applying alpha-rule on (278) yields:
% 15.45/4.35 | (279) activity(all_191_0_232)
% 15.45/4.35 | (280) occurrence_of(all_91_0_32, all_191_0_232)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating (218) with all_203_0_238 yields:
% 15.45/4.35 | (281) subactivity_occurrence(all_41_0_12, all_39_0_11) & root(all_41_0_12, all_203_0_238) & occurrence_of(all_39_0_11, all_203_0_238)
% 15.45/4.35 |
% 15.45/4.35 | Applying alpha-rule on (281) yields:
% 15.45/4.35 | (135) subactivity_occurrence(all_41_0_12, all_39_0_11)
% 15.45/4.35 | (283) root(all_41_0_12, all_203_0_238)
% 15.45/4.35 | (284) occurrence_of(all_39_0_11, all_203_0_238)
% 15.45/4.35 |
% 15.45/4.35 | Instantiating (216) with all_211_0_242 yields:
% 15.45/4.36 | (285) subactivity_occurrence(all_41_0_12, all_91_0_32) & root(all_41_0_12, all_211_0_242) & occurrence_of(all_91_0_32, all_211_0_242)
% 15.45/4.36 |
% 15.45/4.36 | Applying alpha-rule on (285) yields:
% 15.45/4.36 | (233) subactivity_occurrence(all_41_0_12, all_91_0_32)
% 15.45/4.36 | (287) root(all_41_0_12, all_211_0_242)
% 15.45/4.36 | (288) occurrence_of(all_91_0_32, all_211_0_242)
% 15.45/4.36 |
% 15.45/4.36 | Instantiating (217) with all_221_0_247 yields:
% 15.45/4.36 | (289) subactivity_occurrence(all_41_0_12, all_57_0_20) & root(all_41_0_12, all_221_0_247) & occurrence_of(all_57_0_20, all_221_0_247)
% 15.45/4.36 |
% 15.45/4.36 | Applying alpha-rule on (289) yields:
% 15.45/4.36 | (130) subactivity_occurrence(all_41_0_12, all_57_0_20)
% 15.45/4.36 | (291) root(all_41_0_12, all_221_0_247)
% 15.45/4.36 | (292) occurrence_of(all_57_0_20, all_221_0_247)
% 15.45/4.36 |
% 15.45/4.36 | Instantiating (215) with all_241_0_257 yields:
% 15.45/4.36 | (293) leaf(all_11_0_3, all_241_0_257) & subactivity_occurrence(all_11_0_3, all_91_0_32) & occurrence_of(all_91_0_32, all_241_0_257)
% 15.45/4.36 |
% 15.45/4.36 | Applying alpha-rule on (293) yields:
% 15.45/4.36 | (294) leaf(all_11_0_3, all_241_0_257)
% 15.45/4.36 | (149) subactivity_occurrence(all_11_0_3, all_91_0_32)
% 15.45/4.36 | (296) occurrence_of(all_91_0_32, all_241_0_257)
% 15.45/4.36 |
% 15.45/4.36 | Instantiating formula (9) with all_241_0_257, tptp0, all_91_0_32 and discharging atoms occurrence_of(all_91_0_32, all_241_0_257), occurrence_of(all_91_0_32, tptp0), yields:
% 15.45/4.36 | (297) all_241_0_257 = tptp0
% 15.45/4.36 |
% 15.45/4.36 | Instantiating formula (9) with all_211_0_242, all_241_0_257, all_91_0_32 and discharging atoms occurrence_of(all_91_0_32, all_241_0_257), occurrence_of(all_91_0_32, all_211_0_242), yields:
% 15.45/4.36 | (298) all_241_0_257 = all_211_0_242
% 15.45/4.36 |
% 15.45/4.36 | Instantiating formula (60) with all_191_0_232, all_91_0_32, all_41_0_12, all_133_0_48 and discharging atoms root_occ(all_133_0_48, all_91_0_32), root_occ(all_41_0_12, all_91_0_32), occurrence_of(all_91_0_32, all_191_0_232), yields:
% 15.45/4.36 | (246) all_133_0_48 = all_41_0_12
% 15.45/4.36 |
% 15.45/4.36 | Instantiating formula (60) with all_191_0_232, all_91_0_32, all_133_0_48, all_97_0_35 and discharging atoms root_occ(all_133_0_48, all_91_0_32), root_occ(all_97_0_35, all_91_0_32), occurrence_of(all_91_0_32, all_191_0_232), yields:
% 15.45/4.36 | (247) all_133_0_48 = all_97_0_35
% 15.45/4.36 |
% 15.45/4.36 | Instantiating formula (60) with all_221_0_247, all_57_0_20, all_97_0_35, all_93_0_33 and discharging atoms root_occ(all_97_0_35, all_57_0_20), root_occ(all_93_0_33, all_57_0_20), occurrence_of(all_57_0_20, all_221_0_247), yields:
% 15.45/4.36 | (248) all_97_0_35 = all_93_0_33
% 15.45/4.36 |
% 15.45/4.36 | Instantiating formula (60) with all_203_0_238, all_39_0_11, all_93_0_33, all_81_0_27 and discharging atoms root_occ(all_93_0_33, all_39_0_11), root_occ(all_81_0_27, all_39_0_11), occurrence_of(all_39_0_11, all_203_0_238), yields:
% 15.45/4.36 | (249) all_93_0_33 = all_81_0_27
% 15.45/4.36 |
% 15.45/4.36 | Combining equations (297,298) yields a new equation:
% 15.45/4.36 | (303) all_211_0_242 = tptp0
% 15.45/4.36 |
% 15.45/4.36 | Combining equations (246,247) yields a new equation:
% 15.45/4.36 | (251) all_97_0_35 = all_41_0_12
% 15.45/4.36 |
% 15.45/4.36 | Combining equations (248,251) yields a new equation:
% 15.45/4.36 | (252) all_93_0_33 = all_41_0_12
% 15.45/4.36 |
% 15.45/4.36 | Simplifying 252 yields:
% 15.45/4.36 | (253) all_93_0_33 = all_41_0_12
% 15.45/4.36 |
% 15.45/4.36 | Combining equations (249,253) yields a new equation:
% 15.45/4.36 | (254) all_81_0_27 = all_41_0_12
% 15.45/4.36 |
% 15.45/4.36 | Simplifying 254 yields:
% 15.45/4.36 | (255) all_81_0_27 = all_41_0_12
% 15.45/4.36 |
% 15.45/4.36 | Combining equations (303,298) yields a new equation:
% 15.45/4.36 | (297) all_241_0_257 = tptp0
% 15.45/4.36 |
% 15.45/4.36 | From (297) and (294) follows:
% 15.45/4.36 | (71) leaf(all_11_0_3, tptp0)
% 15.45/4.36 |
% 15.45/4.36 | From (251) and (155) follows:
% 15.45/4.36 | (258) min_precedes(all_41_0_12, all_11_0_3, tptp0)
% 15.45/4.36 |
% 15.45/4.36 | From (255) and (142) follows:
% 15.45/4.36 | (259) min_precedes(all_41_0_12, all_11_2_5, tptp0)
% 15.45/4.36 |
% 15.45/4.36 | Instantiating formula (66) with tptp0, all_11_0_3, all_11_2_5, all_41_0_12 and discharging atoms precedes(all_11_2_5, all_11_0_3), min_precedes(all_41_0_12, all_11_0_3, tptp0), min_precedes(all_41_0_12, all_11_2_5, tptp0), yields:
% 15.45/4.36 | (260) min_precedes(all_11_2_5, all_11_0_3, tptp0)
% 15.45/4.36 |
% 15.45/4.36 | Instantiating formula (10) with all_11_0_3, all_11_2_5 and discharging atoms next_subocc(all_0_1_1, all_11_2_5, tptp0), leaf(all_11_0_3, tptp0), min_precedes(all_11_2_5, all_11_0_3, tptp0), occurrence_of(all_11_0_3, tptp2), occurrence_of(all_11_2_5, tptp3), yields:
% 15.45/4.36 | (261) $false
% 15.45/4.36 |
% 15.45/4.36 |-The branch is then unsatisfiable
% 15.45/4.36 % SZS output end Proof for theBenchmark
% 15.45/4.36
% 15.45/4.36 3712ms
%------------------------------------------------------------------------------