%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : PRO014+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n008.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 13.83s 3.92s
% Output   : Proof 33.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PRO014+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n008.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 01:59:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.61/0.60          ____       _                          
% 0.61/0.60    ___  / __ \_____(_)___  ________  __________
% 0.61/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.61/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.61/0.60  
% 0.61/0.60  A Theorem Prover for First-Order Logic
% 0.61/0.60  (ePrincess v.1.0)
% 0.61/0.60  
% 0.61/0.60  (c) Philipp Rümmer, 2009-2015
% 0.61/0.60  (c) Peter Backeman, 2014-2015
% 0.61/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.60  Bug reports to peter@backeman.se
% 0.61/0.60  
% 0.61/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.60  
% 0.61/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.92/1.04  Prover 0: Preprocessing ...
% 2.64/1.31  Prover 0: Constructing countermodel ...
% 13.83/3.92  Prover 0: proved (3272ms)
% 13.83/3.92  
% 13.83/3.92  No countermodel exists, formula is valid
% 13.83/3.92  % SZS status Theorem for theBenchmark
% 13.83/3.92  
% 13.83/3.92  Generating proof ... found it (size 263)
% 32.92/9.55  
% 32.92/9.55  % SZS output start Proof for theBenchmark
% 32.92/9.55  Assumed formulas after preprocessing and simplification: 
% 32.92/9.55  | (0)  ? [v0] :  ? [v1] : ( ~ (tptp1 = tptp2) &  ~ (tptp1 = tptp4) &  ~ (tptp1 = tptp3) &  ~ (tptp2 = tptp4) &  ~ (tptp2 = tptp3) &  ~ (tptp4 = tptp3) & subactivity_occurrence(v0, v1) & atomic(tptp1) & atomic(tptp2) & atomic(tptp4) & atomic(tptp3) & arboreal(v0) & activity(tptp0) & occurrence_of(v1, tptp0) &  ~ leaf_occ(v0, v1) &  ~ atomic(tptp0) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v4 |  ~ leaf_occ(v6, v3) |  ~ root_occ(v5, v3) |  ~ subactivity_occurrence(v4, v3) |  ~ min_precedes(v5, v4, v2) |  ~ occurrence_of(v3, v2) | min_precedes(v4, v6, v2)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v5 = v4 |  ~ leaf_occ(v6, v3) |  ~ root_occ(v5, v3) |  ~ subactivity_occurrence(v4, v3) |  ~ min_precedes(v4, v6, v2) |  ~ occurrence_of(v3, v2) | min_precedes(v5, v4, v2)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ subactivity_occurrence(v4, v6) |  ~ subactivity_occurrence(v3, v6) |  ~ next_subocc(v2, v4, v5) |  ~ next_subocc(v2, v3, v5) |  ~ occurrence_of(v6, v5)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v4 |  ~ leaf_occ(v5, v3) |  ~ subactivity_occurrence(v4, v3) |  ~ arboreal(v4) |  ~ occurrence_of(v3, v2) | min_precedes(v4, v5, v2)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v4 |  ~ root_occ(v5, v3) |  ~ subactivity_occurrence(v4, v3) |  ~ arboreal(v4) |  ~ occurrence_of(v3, v2) | min_precedes(v5, v4, v2)) &  ! [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] : (v4 = v3 |  ~ leaf_occ(v3, v2) |  ~ root_occ(v4, v2) |  ~ occurrence_of(v2, v5) | min_precedes(v4, v3, v5)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v4 = v3 |  ~ next_subocc(v4, v2, v5) |  ~ next_subocc(v3, v2, v5)) &  ! [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] : ( ~ leaf_occ(v3, v2) |  ~ min_precedes(v3, v5, v4) |  ~ occurrence_of(v2, v4)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ root_occ(v3, v2) |  ~ min_precedes(v5, v3, v4) |  ~ occurrence_of(v2, v4)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ subactivity_occurrence(v4, v5) |  ~ occurrence_of(v5, v3) |  ~ occurrence_of(v4, v2) | atomic(v2) | subactivity(v2, v3)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ subactivity_occurrence(v3, v5) |  ~ min_precedes(v2, v3, v4) |  ~ occurrence_of(v5, v4) | subactivity_occurrence(v2, v5)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ next_subocc(v2, v3, v4) |  ~ min_precedes(v5, v3, v4) |  ~ min_precedes(v2, v5, v4)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ min_precedes(v4, v2, v5) |  ~ min_precedes(v3, v2, v5) |  ~ precedes(v3, v4) | min_precedes(v3, v4, v5)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ min_precedes(v2, v4, v5) |  ~ min_precedes(v2, v3, v5) |  ~ precedes(v3, v4) | min_precedes(v3, v4, v5)) &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ subactivity(v2, v3) |  ~ occurrence_of(v5, v3) |  ~ occurrence_of(v4, v2) | subactivity_occurrence(v4, v5) |  ? [v6] : (subactivity_occurrence(v6, v5) &  ~ subactivity_occurrence(v6, v4))) &  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ occurrence_of(v2, v4) |  ~ occurrence_of(v2, v3)) &  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 |  ~ earlier(v4, v3) |  ~ earlier(v2, v3) | earlier(v4, v2) | earlier(v2, v4)) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ subactivity_occurrence(v3, v4) |  ~ subactivity_occurrence(v2, v3) | subactivity_occurrence(v2, v4)) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ subactivity_occurrence(v2, v3) |  ~ leaf(v2, v4) |  ~ occurrence_of(v3, v4) | leaf_occ(v2, v3)) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ subactivity_occurrence(v2, v3) |  ~ root(v2, v4) |  ~ occurrence_of(v3, v4) | root_occ(v2, v3)) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ next_subocc(v2, 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] : ( ~ leaf(v2, v3) |  ~ min_precedes(v2, v4, v3)) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ root(v3, v4) |  ~ min_precedes(v2, v3, 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] : (atocc(v4, v6) & atocc(v3, v5) & subactivity(v6, v2) & subactivity(v5, v2))) &  ! [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) |  ~ atomic(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) | arboreal(v2)) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ min_precedes(v2, v3, v4) |  ? [v5] : (root(v5, v4) & min_precedes(v5, v3, v4))) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ atomic(v4) |  ~ subactivity(v3, v4) |  ~ occurrence_of(v2, v4) | atocc(v2, v3)) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ earlier(v3, v4) |  ~ earlier(v2, v3) | earlier(v2, v4)) &  ! [v2] :  ! [v3] : ( ~ leaf_occ(v2, v3) |  ? [v4] : (subactivity_occurrence(v2, v3) & leaf(v2, v4) & 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) |  ~ arboreal(v2) |  ~ 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] : ( ~ subactivity_occurrence(v2, v3) | activity_occurrence(v3)) &  ! [v2] :  ! [v3] : ( ~ subactivity_occurrence(v2, v3) | activity_occurrence(v2)) &  ! [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] : ( ~ 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] : ( ~ root(v3, v2) | atomic(v2) |  ? [v4] : (subactivity_occurrence(v3, v4) & occurrence_of(v4, v2))) &  ! [v2] :  ! [v3] : ( ~ root(v3, v2) |  ? [v4] : (atocc(v3, v4) & subactivity(v4, v2))) &  ! [v2] :  ! [v3] : ( ~ root(v2, v3) | leaf(v2, v3) |  ? [v4] : min_precedes(v2, v4, v3)) &  ! [v2] :  ! [v3] : ( ~ root(v2, v3) | legal(v2)) &  ! [v2] :  ! [v3] : ( ~ atocc(v2, v3) |  ~ legal(v2) | root(v2, v3)) &  ! [v2] :  ! [v3] : ( ~ atocc(v2, v3) |  ? [v4] : (atomic(v4) & subactivity(v3, v4) & occurrence_of(v2, v4))) &  ! [v2] :  ! [v3] : ( ~ precedes(v2, v3) | legal(v3)) &  ! [v2] :  ! [v3] : ( ~ precedes(v2, v3) | earlier(v2, v3)) &  ! [v2] :  ! [v3] : ( ~ legal(v3) |  ~ earlier(v2, v3) | precedes(v2, v3)) &  ! [v2] :  ! [v3] : ( ~ legal(v2) |  ~ earlier(v3, v2) | legal(v3)) &  ! [v2] :  ! [v3] : ( ~ atomic(v3) |  ~ occurrence_of(v2, v3) | arboreal(v2)) &  ! [v2] :  ! [v3] : ( ~ arboreal(v2) |  ~ occurrence_of(v2, v3) | atomic(v3)) &  ! [v2] :  ! [v3] : ( ~ earlier(v3, v2) |  ~ earlier(v2, v3)) &  ! [v2] :  ! [v3] : ( ~ occurrence_of(v3, v2) | atomic(v2) |  ? [v4] : (subactivity_occurrence(v4, v3) & root(v4, v2))) &  ! [v2] :  ! [v3] : ( ~ occurrence_of(v3, v2) | activity_occurrence(v3)) &  ! [v2] :  ! [v3] : ( ~ occurrence_of(v3, v2) | activity(v2)) &  ! [v2] : ( ~ legal(v2) | arboreal(v2)) &  ! [v2] : ( ~ activity_occurrence(v2) |  ? [v3] : (activity(v3) & occurrence_of(v2, v3))) &  ! [v2] : ( ~ activity(v2) | subactivity(v2, v2)))
% 32.92/9.58  | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 32.92/9.58  | (1)  ~ (tptp1 = tptp2) &  ~ (tptp1 = tptp4) &  ~ (tptp1 = tptp3) &  ~ (tptp2 = tptp4) &  ~ (tptp2 = tptp3) &  ~ (tptp4 = tptp3) & subactivity_occurrence(all_0_1_1, all_0_0_0) & atomic(tptp1) & atomic(tptp2) & atomic(tptp4) & atomic(tptp3) & arboreal(all_0_1_1) & activity(tptp0) & 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 |  ~ leaf_occ(v4, v1) |  ~ root_occ(v3, v1) |  ~ subactivity_occurrence(v2, v1) |  ~ min_precedes(v3, v2, v0) |  ~ occurrence_of(v1, v0) | min_precedes(v2, v4, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ leaf_occ(v4, v1) |  ~ root_occ(v3, v1) |  ~ subactivity_occurrence(v2, v1) |  ~ min_precedes(v2, v4, v0) |  ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ subactivity_occurrence(v2, v4) |  ~ subactivity_occurrence(v1, v4) |  ~ next_subocc(v0, v2, v3) |  ~ next_subocc(v0, v1, v3) |  ~ occurrence_of(v4, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ leaf_occ(v3, v1) |  ~ subactivity_occurrence(v2, v1) |  ~ arboreal(v2) |  ~ occurrence_of(v1, v0) | min_precedes(v2, v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ root_occ(v3, v1) |  ~ subactivity_occurrence(v2, v1) |  ~ arboreal(v2) |  ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0)) &  ! [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] : (v2 = v1 |  ~ leaf_occ(v1, v0) |  ~ root_occ(v2, v0) |  ~ occurrence_of(v0, v3) | min_precedes(v2, v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ next_subocc(v2, v0, v3) |  ~ next_subocc(v1, v0, v3)) &  ! [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] : ( ~ leaf_occ(v1, v0) |  ~ min_precedes(v1, v3, v2) |  ~ occurrence_of(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ root_occ(v1, v0) |  ~ min_precedes(v3, v1, v2) |  ~ occurrence_of(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity_occurrence(v2, v3) |  ~ occurrence_of(v3, v1) |  ~ occurrence_of(v2, v0) | atomic(v0) | subactivity(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity_occurrence(v1, v3) |  ~ min_precedes(v0, v1, v2) |  ~ occurrence_of(v3, v2) | subactivity_occurrence(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ next_subocc(v0, v1, v2) |  ~ min_precedes(v3, v1, v2) |  ~ min_precedes(v0, v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v2, v0, v3) |  ~ min_precedes(v1, v0, v3) |  ~ precedes(v1, v2) | min_precedes(v1, v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v0, v2, v3) |  ~ min_precedes(v0, v1, v3) |  ~ precedes(v1, v2) | min_precedes(v1, v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity(v0, v1) |  ~ occurrence_of(v3, v1) |  ~ occurrence_of(v2, v0) | subactivity_occurrence(v2, v3) |  ? [v4] : (subactivity_occurrence(v4, v3) &  ~ subactivity_occurrence(v4, v2))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ occurrence_of(v0, v2) |  ~ occurrence_of(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ earlier(v2, v1) |  ~ earlier(v0, v1) | earlier(v2, v0) | earlier(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v1, v2) |  ~ subactivity_occurrence(v0, v1) | subactivity_occurrence(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v0, v1) |  ~ leaf(v0, v2) |  ~ occurrence_of(v1, v2) | leaf_occ(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v0, v1) |  ~ root(v0, v2) |  ~ occurrence_of(v1, v2) | root_occ(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ next_subocc(v0, 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] : ( ~ leaf(v0, v1) |  ~ min_precedes(v0, v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ root(v1, v2) |  ~ min_precedes(v0, v1, 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] : (atocc(v2, v4) & atocc(v1, v3) & subactivity(v4, v0) & subactivity(v3, v0))) &  ! [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) |  ~ atomic(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) | arboreal(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) |  ? [v3] : (root(v3, v2) & min_precedes(v3, v1, v2))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ atomic(v2) |  ~ subactivity(v1, v2) |  ~ occurrence_of(v0, v2) | atocc(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ earlier(v1, v2) |  ~ earlier(v0, v1) | earlier(v0, v2)) &  ! [v0] :  ! [v1] : ( ~ leaf_occ(v0, v1) |  ? [v2] : (subactivity_occurrence(v0, v1) & leaf(v0, v2) & 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) |  ~ arboreal(v0) |  ~ 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] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1)) &  ! [v0] :  ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0)) &  ! [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] : ( ~ 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] : ( ~ root(v1, v0) | atomic(v0) |  ? [v2] : (subactivity_occurrence(v1, v2) & occurrence_of(v2, v0))) &  ! [v0] :  ! [v1] : ( ~ root(v1, v0) |  ? [v2] : (atocc(v1, v2) & subactivity(v2, v0))) &  ! [v0] :  ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) |  ? [v2] : min_precedes(v0, v2, v1)) &  ! [v0] :  ! [v1] : ( ~ root(v0, v1) | legal(v0)) &  ! [v0] :  ! [v1] : ( ~ atocc(v0, v1) |  ~ legal(v0) | root(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ atocc(v0, v1) |  ? [v2] : (atomic(v2) & subactivity(v1, v2) & occurrence_of(v0, v2))) &  ! [v0] :  ! [v1] : ( ~ precedes(v0, v1) | legal(v1)) &  ! [v0] :  ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ legal(v1) |  ~ earlier(v0, v1) | precedes(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ legal(v0) |  ~ earlier(v1, v0) | legal(v1)) &  ! [v0] :  ! [v1] : ( ~ atomic(v1) |  ~ occurrence_of(v0, v1) | arboreal(v0)) &  ! [v0] :  ! [v1] : ( ~ arboreal(v0) |  ~ occurrence_of(v0, v1) | atomic(v1)) &  ! [v0] :  ! [v1] : ( ~ earlier(v1, v0) |  ~ earlier(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) |  ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0))) &  ! [v0] :  ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1)) &  ! [v0] :  ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0)) &  ! [v0] : ( ~ legal(v0) | arboreal(v0)) &  ! [v0] : ( ~ activity_occurrence(v0) |  ? [v1] : (activity(v1) & occurrence_of(v0, v1))) &  ! [v0] : ( ~ activity(v0) | subactivity(v0, v0))
% 32.92/9.59  |
% 32.92/9.59  | Applying alpha-rule on (1) yields:
% 32.92/9.59  | (2)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v1, v2) |  ~ subactivity_occurrence(v0, v1) | subactivity_occurrence(v0, v2))
% 32.92/9.60  | (3)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1))
% 32.92/9.60  | (4)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ leaf(v0, v1) |  ~ min_precedes(v0, v2, v1))
% 32.92/9.60  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ leaf_occ(v1, v0) |  ~ min_precedes(v1, v3, v2) |  ~ occurrence_of(v0, v2))
% 32.92/9.60  | (6)  ! [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))
% 32.92/9.60  | (7) atomic(tptp3)
% 32.92/9.60  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ next_subocc(v0, v1, v2) |  ~ min_precedes(v3, v1, v2) |  ~ min_precedes(v0, v3, v2))
% 32.92/9.60  | (9) atomic(tptp2)
% 32.92/9.60  | (10)  ! [v0] :  ! [v1] : ( ~ root(v1, v0) | atomic(v0) |  ? [v2] : (subactivity_occurrence(v1, v2) & occurrence_of(v2, v0)))
% 32.92/9.60  | (11)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ root_occ(v3, v1) |  ~ subactivity_occurrence(v2, v1) |  ~ arboreal(v2) |  ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0))
% 32.92/9.60  | (12) arboreal(all_0_1_1)
% 32.92/9.60  | (13)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ earlier(v2, v1) |  ~ earlier(v0, v1) | earlier(v2, v0) | earlier(v0, v2))
% 32.92/9.60  | (14)  ~ atomic(tptp0)
% 32.92/9.60  | (15) subactivity_occurrence(all_0_1_1, all_0_0_0)
% 32.92/9.60  | (16)  ~ (tptp2 = tptp4)
% 32.92/9.60  | (17) activity(tptp0)
% 32.92/9.60  | (18)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2))
% 32.92/9.60  | (19)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity_occurrence(v1, v3) |  ~ min_precedes(v0, v1, v2) |  ~ occurrence_of(v3, v2) | subactivity_occurrence(v0, v3))
% 32.92/9.60  | (20)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ earlier(v1, v2) |  ~ earlier(v0, v1) | earlier(v0, v2))
% 32.92/9.60  | (21)  ! [v0] :  ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) |  ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1)))
% 32.92/9.60  | (22)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v0, v1) |  ~ root(v0, v2) |  ~ occurrence_of(v1, v2) | root_occ(v0, v1))
% 32.92/9.60  | (23)  ! [v0] :  ! [v1] : ( ~ atocc(v0, v1) |  ? [v2] : (atomic(v2) & subactivity(v1, v2) & occurrence_of(v0, v2)))
% 32.92/9.60  | (24)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ root_occ(v1, v0) |  ~ min_precedes(v3, v1, v2) |  ~ occurrence_of(v0, v2))
% 32.92/9.60  | (25)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 |  ~ leaf_occ(v4, v1) |  ~ root_occ(v3, v1) |  ~ subactivity_occurrence(v2, v1) |  ~ min_precedes(v3, v2, v0) |  ~ occurrence_of(v1, v0) | min_precedes(v2, v4, v0))
% 32.92/9.60  | (26)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v1, v2, v0) |  ? [v3] :  ? [v4] : (atocc(v2, v4) & atocc(v1, v3) & subactivity(v4, v0) & subactivity(v3, v0)))
% 32.92/9.60  | (27)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ root(v1, v2) |  ~ min_precedes(v0, v1, v2))
% 32.92/9.60  | (28)  ! [v0] :  ! [v1] : ( ~ root_occ(v0, v1) |  ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2)))
% 32.92/9.60  | (29)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1))
% 32.92/9.60  | (30)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) |  ? [v3] : (root(v3, v2) & min_precedes(v3, v1, v2)))
% 32.92/9.60  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v0, v2, v3) |  ~ min_precedes(v0, v1, v3) |  ~ precedes(v1, v2) | min_precedes(v1, v2, v3))
% 32.92/9.60  | (32)  ! [v0] :  ! [v1] : ( ~ precedes(v0, v1) | legal(v1))
% 32.92/9.60  | (33)  ! [v0] :  ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) |  ? [v2] : min_precedes(v0, v2, v1))
% 32.92/9.60  | (34)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ atomic(v2) |  ~ subactivity(v1, v2) |  ~ occurrence_of(v0, v2) | atocc(v0, v1))
% 32.92/9.60  | (35)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ leaf_occ(v3, v1) |  ~ subactivity_occurrence(v2, v1) |  ~ arboreal(v2) |  ~ occurrence_of(v1, v0) | min_precedes(v2, v3, v0))
% 32.92/9.60  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity(v0, v1) |  ~ occurrence_of(v3, v1) |  ~ occurrence_of(v2, v0) | subactivity_occurrence(v2, v3) |  ? [v4] : (subactivity_occurrence(v4, v3) &  ~ subactivity_occurrence(v4, v2)))
% 32.92/9.60  | (37) occurrence_of(all_0_0_0, tptp0)
% 32.92/9.60  | (38)  ~ (tptp2 = tptp3)
% 32.92/9.60  | (39) atomic(tptp1)
% 32.92/9.60  | (40)  ! [v0] :  ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1))
% 32.92/9.60  | (41)  ! [v0] : ( ~ activity_occurrence(v0) |  ? [v1] : (activity(v1) & occurrence_of(v0, v1)))
% 32.92/9.60  | (42)  ! [v0] :  ! [v1] : ( ~ atomic(v1) |  ~ occurrence_of(v0, v1) | arboreal(v0))
% 32.92/9.60  | (43)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v0, v1) |  ~ leaf(v0, v2) |  ~ occurrence_of(v1, v2) | leaf_occ(v0, v1))
% 32.92/9.60  | (44)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ leaf_occ(v4, v1) |  ~ root_occ(v3, v1) |  ~ subactivity_occurrence(v2, v1) |  ~ min_precedes(v2, v4, v0) |  ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0))
% 32.92/9.60  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ leaf_occ(v1, v0) |  ~ root_occ(v2, v0) |  ~ occurrence_of(v0, v3) | min_precedes(v2, v1, v3))
% 32.92/9.60  | (46)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) |  ~ atomic(v2))
% 32.92/9.60  | (47)  ! [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))
% 32.92/9.61  | (48)  ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 32.92/9.61  | (49) atomic(tptp4)
% 32.92/9.61  | (50)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0))
% 32.92/9.61  | (51)  ! [v0] :  ! [v1] : ( ~ legal(v1) |  ~ earlier(v0, v1) | precedes(v0, v1))
% 32.92/9.61  | (52)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) |  ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2)))
% 32.92/9.61  | (53)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) | arboreal(v0))
% 32.92/9.61  | (54)  ! [v0] :  ! [v1] : ( ~ root(v1, v0) |  ? [v2] : (atocc(v1, v2) & subactivity(v2, v0)))
% 32.92/9.61  | (55)  ~ leaf_occ(all_0_1_1, all_0_0_0)
% 32.92/9.61  | (56)  ! [v0] :  ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0))
% 32.92/9.61  | (57)  ! [v0] :  ! [v1] : ( ~ earlier(v1, v0) |  ~ earlier(v0, v1))
% 32.92/9.61  | (58)  ! [v0] :  ! [v1] : ( ~ root(v0, v1) | legal(v0))
% 32.92/9.61  | (59)  ! [v0] :  ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) |  ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0)))
% 32.92/9.61  | (60)  ~ (tptp1 = tptp3)
% 32.92/9.61  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ root_occ(v1, v2) |  ~ root_occ(v0, v2) |  ~ occurrence_of(v2, v3))
% 32.92/9.61  | (62)  ! [v0] :  ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) |  ? [v2] : min_precedes(v2, v0, v1))
% 32.92/9.61  | (63)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ next_subocc(v2, v0, v3) |  ~ next_subocc(v1, v0, v3))
% 32.92/9.61  | (64)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v1, v2, v0) |  ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0)))
% 32.92/9.61  | (65)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) |  ? [v3] : min_precedes(v0, v3, v1))
% 32.92/9.61  | (66)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ occurrence_of(v0, v2) |  ~ occurrence_of(v0, v1))
% 32.92/9.61  | (67)  ! [v0] :  ! [v1] : ( ~ atocc(v0, v1) |  ~ legal(v0) | root(v0, v1))
% 32.92/9.61  | (68)  ~ (tptp4 = tptp3)
% 32.92/9.61  | (69)  ~ (tptp1 = tptp4)
% 32.92/9.61  | (70)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ subactivity_occurrence(v2, v4) |  ~ subactivity_occurrence(v1, v4) |  ~ next_subocc(v0, v2, v3) |  ~ next_subocc(v0, v1, v3) |  ~ occurrence_of(v4, v3))
% 32.92/9.61  | (71)  ! [v0] :  ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1))
% 32.92/9.61  | (72)  ! [v0] :  ! [v1] : ( ~ legal(v0) |  ~ earlier(v1, v0) | legal(v1))
% 32.92/9.61  | (73)  ! [v0] :  ! [v1] : ( ~ leaf_occ(v0, v1) |  ? [v2] : (subactivity_occurrence(v0, v1) & leaf(v0, v2) & occurrence_of(v1, v2)))
% 32.92/9.61  | (74)  ! [v0] :  ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1))
% 32.92/9.61  | (75)  ! [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))
% 32.92/9.61  | (76)  ! [v0] : ( ~ activity(v0) | subactivity(v0, v0))
% 32.92/9.61  | (77)  ! [v0] :  ! [v1] : ( ~ subactivity_occurrence(v0, v1) |  ~ arboreal(v0) |  ~ 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))))
% 32.92/9.61  | (78)  ~ (tptp1 = tptp2)
% 32.92/9.61  | (79)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v2, v0, v3) |  ~ min_precedes(v1, v0, v3) |  ~ precedes(v1, v2) | min_precedes(v1, v2, v3))
% 32.92/9.61  | (80)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity_occurrence(v2, v3) |  ~ occurrence_of(v3, v1) |  ~ occurrence_of(v2, v0) | atomic(v0) | subactivity(v0, v1))
% 32.92/9.61  | (81)  ! [v0] :  ! [v1] : ( ~ arboreal(v0) |  ~ occurrence_of(v0, v1) | atomic(v1))
% 32.92/9.61  | (82)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ leaf_occ(v1, v2) |  ~ leaf_occ(v0, v2) |  ~ occurrence_of(v2, v3) | atomic(v3))
% 32.92/9.61  | (83)  ! [v0] :  ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0))
% 32.92/9.61  |
% 32.92/9.61  | Instantiating formula (77) 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:
% 32.92/9.61  | (84)  ? [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)))
% 32.92/9.61  |
% 32.92/9.61  | Instantiating (84) with all_11_0_3, all_11_1_4, all_11_2_5 yields:
% 32.92/9.61  | (85) 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))
% 32.92/9.62  |
% 32.92/9.62  | Applying alpha-rule on (85) yields:
% 32.92/9.62  | (86) occurrence_of(all_11_2_5, tptp3)
% 32.92/9.62  | (87) next_subocc(all_11_1_4, all_11_0_3, tptp0)
% 32.92/9.62  | (88) next_subocc(all_11_2_5, all_11_1_4, tptp0)
% 32.92/9.62  | (89) leaf(all_11_0_3, tptp0)
% 32.92/9.62  | (90) next_subocc(all_0_1_1, all_11_2_5, tptp0)
% 32.92/9.62  | (91) occurrence_of(all_11_1_4, tptp4)
% 32.92/9.62  | (92) occurrence_of(all_11_0_3, tptp1) | occurrence_of(all_11_0_3, tptp2)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (18) 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:
% 32.92/9.62  | (93) min_precedes(all_11_1_4, all_11_0_3, tptp0)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (18) 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:
% 32.92/9.62  | (94) min_precedes(all_11_2_5, all_11_1_4, tptp0)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (18) 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:
% 32.92/9.62  | (95) min_precedes(all_0_1_1, all_11_2_5, tptp0)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (21) with tptp0, all_11_0_3 and discharging atoms leaf(all_11_0_3, tptp0),  ~ atomic(tptp0), yields:
% 32.92/9.62  | (96)  ? [v0] : (leaf_occ(all_11_0_3, v0) & occurrence_of(v0, tptp0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (42) with tptp3, all_11_2_5 and discharging atoms atomic(tptp3), occurrence_of(all_11_2_5, tptp3), yields:
% 32.92/9.62  | (97) arboreal(all_11_2_5)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (71) with all_11_2_5, tptp3 and discharging atoms occurrence_of(all_11_2_5, tptp3), yields:
% 32.92/9.62  | (98) activity_occurrence(all_11_2_5)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (83) with all_11_2_5, tptp3 and discharging atoms occurrence_of(all_11_2_5, tptp3), yields:
% 32.92/9.62  | (99) activity(tptp3)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating (96) with all_19_0_6 yields:
% 32.92/9.62  | (100) leaf_occ(all_11_0_3, all_19_0_6) & occurrence_of(all_19_0_6, tptp0)
% 32.92/9.62  |
% 32.92/9.62  | Applying alpha-rule on (100) yields:
% 32.92/9.62  | (101) leaf_occ(all_11_0_3, all_19_0_6)
% 32.92/9.62  | (102) occurrence_of(all_19_0_6, tptp0)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (73) with all_19_0_6, all_11_0_3 and discharging atoms leaf_occ(all_11_0_3, all_19_0_6), yields:
% 32.92/9.62  | (103)  ? [v0] : (subactivity_occurrence(all_11_0_3, all_19_0_6) & leaf(all_11_0_3, v0) & occurrence_of(all_19_0_6, v0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (26) 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:
% 32.92/9.62  | (104)  ? [v0] :  ? [v1] : (atocc(all_11_0_3, v1) & atocc(all_11_1_4, v0) & subactivity(v1, tptp0) & subactivity(v0, tptp0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (64) 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:
% 32.92/9.62  | (105)  ? [v0] : (subactivity_occurrence(all_11_0_3, v0) & subactivity_occurrence(all_11_1_4, v0) & occurrence_of(v0, tptp0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (30) 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:
% 32.92/9.62  | (106)  ? [v0] : (root(v0, tptp0) & min_precedes(v0, all_11_0_3, tptp0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (26) 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:
% 32.92/9.62  | (107)  ? [v0] :  ? [v1] : (atocc(all_11_1_4, v1) & atocc(all_11_2_5, v0) & subactivity(v1, tptp0) & subactivity(v0, tptp0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (64) 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:
% 32.92/9.62  | (108)  ? [v0] : (subactivity_occurrence(all_11_1_4, v0) & subactivity_occurrence(all_11_2_5, v0) & occurrence_of(v0, tptp0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (30) 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:
% 32.92/9.62  | (109)  ? [v0] : (root(v0, tptp0) & min_precedes(v0, all_11_1_4, tptp0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (26) with all_11_2_5, all_0_1_1, tptp0 and discharging atoms min_precedes(all_0_1_1, all_11_2_5, tptp0), yields:
% 32.92/9.62  | (110)  ? [v0] :  ? [v1] : (atocc(all_11_2_5, v1) & atocc(all_0_1_1, v0) & subactivity(v1, tptp0) & subactivity(v0, tptp0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (30) 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:
% 32.92/9.62  | (111)  ? [v0] : (root(v0, tptp0) & min_precedes(v0, all_11_2_5, tptp0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (41) with all_11_2_5 and discharging atoms activity_occurrence(all_11_2_5), yields:
% 32.92/9.62  | (112)  ? [v0] : (activity(v0) & occurrence_of(all_11_2_5, v0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (76) with tptp3 and discharging atoms activity(tptp3), yields:
% 32.92/9.62  | (113) subactivity(tptp3, tptp3)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (59) with all_19_0_6, tptp0 and discharging atoms occurrence_of(all_19_0_6, tptp0),  ~ atomic(tptp0), yields:
% 32.92/9.62  | (114)  ? [v0] : (subactivity_occurrence(v0, all_19_0_6) & root(v0, tptp0))
% 32.92/9.62  |
% 32.92/9.62  | Instantiating formula (71) with all_19_0_6, tptp0 and discharging atoms occurrence_of(all_19_0_6, tptp0), yields:
% 32.92/9.62  | (115) activity_occurrence(all_19_0_6)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating (104) with all_39_0_11, all_39_1_12 yields:
% 32.92/9.62  | (116) atocc(all_11_0_3, all_39_0_11) & atocc(all_11_1_4, all_39_1_12) & subactivity(all_39_0_11, tptp0) & subactivity(all_39_1_12, tptp0)
% 32.92/9.62  |
% 32.92/9.62  | Applying alpha-rule on (116) yields:
% 32.92/9.62  | (117) atocc(all_11_0_3, all_39_0_11)
% 32.92/9.62  | (118) atocc(all_11_1_4, all_39_1_12)
% 32.92/9.62  | (119) subactivity(all_39_0_11, tptp0)
% 32.92/9.62  | (120) subactivity(all_39_1_12, tptp0)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating (103) with all_47_0_16 yields:
% 32.92/9.62  | (121) subactivity_occurrence(all_11_0_3, all_19_0_6) & leaf(all_11_0_3, all_47_0_16) & occurrence_of(all_19_0_6, all_47_0_16)
% 32.92/9.62  |
% 32.92/9.62  | Applying alpha-rule on (121) yields:
% 32.92/9.62  | (122) subactivity_occurrence(all_11_0_3, all_19_0_6)
% 32.92/9.62  | (123) leaf(all_11_0_3, all_47_0_16)
% 32.92/9.62  | (124) occurrence_of(all_19_0_6, all_47_0_16)
% 32.92/9.62  |
% 32.92/9.62  | Instantiating (112) with all_51_0_18 yields:
% 32.92/9.62  | (125) activity(all_51_0_18) & occurrence_of(all_11_2_5, all_51_0_18)
% 32.92/9.62  |
% 32.92/9.62  | Applying alpha-rule on (125) yields:
% 32.92/9.62  | (126) activity(all_51_0_18)
% 32.92/9.63  | (127) occurrence_of(all_11_2_5, all_51_0_18)
% 32.92/9.63  |
% 32.92/9.63  | Instantiating (111) with all_53_0_19 yields:
% 32.92/9.63  | (128) root(all_53_0_19, tptp0) & min_precedes(all_53_0_19, all_11_2_5, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Applying alpha-rule on (128) yields:
% 32.92/9.63  | (129) root(all_53_0_19, tptp0)
% 32.92/9.63  | (130) min_precedes(all_53_0_19, all_11_2_5, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Instantiating (108) with all_55_0_20 yields:
% 32.92/9.63  | (131) subactivity_occurrence(all_11_1_4, all_55_0_20) & subactivity_occurrence(all_11_2_5, all_55_0_20) & occurrence_of(all_55_0_20, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Applying alpha-rule on (131) yields:
% 32.92/9.63  | (132) subactivity_occurrence(all_11_1_4, all_55_0_20)
% 32.92/9.63  | (133) subactivity_occurrence(all_11_2_5, all_55_0_20)
% 32.92/9.63  | (134) occurrence_of(all_55_0_20, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Instantiating (106) with all_57_0_21 yields:
% 32.92/9.63  | (135) root(all_57_0_21, tptp0) & min_precedes(all_57_0_21, all_11_0_3, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Applying alpha-rule on (135) yields:
% 32.92/9.63  | (136) root(all_57_0_21, tptp0)
% 32.92/9.63  | (137) min_precedes(all_57_0_21, all_11_0_3, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Instantiating (114) with all_61_0_23 yields:
% 32.92/9.63  | (138) subactivity_occurrence(all_61_0_23, all_19_0_6) & root(all_61_0_23, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Applying alpha-rule on (138) yields:
% 32.92/9.63  | (139) subactivity_occurrence(all_61_0_23, all_19_0_6)
% 32.92/9.63  | (140) root(all_61_0_23, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Instantiating (109) with all_63_0_24 yields:
% 32.92/9.63  | (141) root(all_63_0_24, tptp0) & min_precedes(all_63_0_24, all_11_1_4, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Applying alpha-rule on (141) yields:
% 32.92/9.63  | (142) root(all_63_0_24, tptp0)
% 32.92/9.63  | (143) min_precedes(all_63_0_24, all_11_1_4, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Instantiating (110) with all_65_0_25, all_65_1_26 yields:
% 32.92/9.63  | (144) atocc(all_11_2_5, all_65_0_25) & atocc(all_0_1_1, all_65_1_26) & subactivity(all_65_0_25, tptp0) & subactivity(all_65_1_26, tptp0)
% 32.92/9.63  |
% 32.92/9.63  | Applying alpha-rule on (144) yields:
% 33.38/9.63  | (145) atocc(all_11_2_5, all_65_0_25)
% 33.38/9.63  | (146) atocc(all_0_1_1, all_65_1_26)
% 33.38/9.63  | (147) subactivity(all_65_0_25, tptp0)
% 33.38/9.63  | (148) subactivity(all_65_1_26, tptp0)
% 33.38/9.63  |
% 33.38/9.63  | Instantiating (107) with all_67_0_27, all_67_1_28 yields:
% 33.38/9.63  | (149) atocc(all_11_1_4, all_67_0_27) & atocc(all_11_2_5, all_67_1_28) & subactivity(all_67_0_27, tptp0) & subactivity(all_67_1_28, tptp0)
% 33.38/9.63  |
% 33.38/9.63  | Applying alpha-rule on (149) yields:
% 33.38/9.63  | (150) atocc(all_11_1_4, all_67_0_27)
% 33.38/9.63  | (151) atocc(all_11_2_5, all_67_1_28)
% 33.38/9.63  | (152) subactivity(all_67_0_27, tptp0)
% 33.38/9.63  | (153) subactivity(all_67_1_28, tptp0)
% 33.38/9.63  |
% 33.38/9.63  | Instantiating (105) with all_69_0_29 yields:
% 33.38/9.63  | (154) subactivity_occurrence(all_11_0_3, all_69_0_29) & subactivity_occurrence(all_11_1_4, all_69_0_29) & occurrence_of(all_69_0_29, tptp0)
% 33.38/9.63  |
% 33.38/9.63  | Applying alpha-rule on (154) yields:
% 33.38/9.63  | (155) subactivity_occurrence(all_11_0_3, all_69_0_29)
% 33.38/9.63  | (156) subactivity_occurrence(all_11_1_4, all_69_0_29)
% 33.38/9.63  | (157) occurrence_of(all_69_0_29, tptp0)
% 33.38/9.63  |
% 33.38/9.63  | Instantiating formula (66) with all_47_0_16, tptp0, all_19_0_6 and discharging atoms occurrence_of(all_19_0_6, all_47_0_16), occurrence_of(all_19_0_6, tptp0), yields:
% 33.38/9.63  | (158) all_47_0_16 = tptp0
% 33.38/9.63  |
% 33.38/9.63  | Instantiating formula (66) with all_51_0_18, tptp3, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_51_0_18), occurrence_of(all_11_2_5, tptp3), yields:
% 33.38/9.63  | (159) all_51_0_18 = tptp3
% 33.38/9.63  |
% 33.38/9.63  | From (158) and (123) follows:
% 33.38/9.63  | (89) leaf(all_11_0_3, tptp0)
% 33.38/9.63  |
% 33.38/9.63  | From (158) and (124) follows:
% 33.38/9.63  | (102) occurrence_of(all_19_0_6, tptp0)
% 33.38/9.63  |
% 33.38/9.63  | From (159) and (127) follows:
% 33.38/9.63  | (86) occurrence_of(all_11_2_5, tptp3)
% 33.38/9.63  |
% 33.38/9.63  | Instantiating formula (19) with all_19_0_6, tptp0, all_11_0_3, all_11_1_4 and discharging atoms subactivity_occurrence(all_11_0_3, all_19_0_6), min_precedes(all_11_1_4, all_11_0_3, tptp0), occurrence_of(all_19_0_6, tptp0), yields:
% 33.38/9.63  | (163) subactivity_occurrence(all_11_1_4, all_19_0_6)
% 33.38/9.63  |
% 33.38/9.63  | Instantiating formula (56) with all_19_0_6, all_11_0_3 and discharging atoms subactivity_occurrence(all_11_0_3, all_19_0_6), yields:
% 33.38/9.63  | (164) activity_occurrence(all_11_0_3)
% 33.38/9.63  |
% 33.38/9.63  | Instantiating formula (22) with tptp0, all_19_0_6, all_61_0_23 and discharging atoms subactivity_occurrence(all_61_0_23, all_19_0_6), root(all_61_0_23, tptp0), occurrence_of(all_19_0_6, tptp0), yields:
% 33.38/9.63  | (165) root_occ(all_61_0_23, all_19_0_6)
% 33.38/9.63  |
% 33.38/9.63  | Instantiating formula (23) with all_39_0_11, all_11_0_3 and discharging atoms atocc(all_11_0_3, all_39_0_11), yields:
% 33.38/9.63  | (166)  ? [v0] : (atomic(v0) & subactivity(all_39_0_11, v0) & occurrence_of(all_11_0_3, v0))
% 33.38/9.63  |
% 33.38/9.63  | Instantiating formula (23) with all_67_1_28, all_11_2_5 and discharging atoms atocc(all_11_2_5, all_67_1_28), yields:
% 33.38/9.64  | (167)  ? [v0] : (atomic(v0) & subactivity(all_67_1_28, v0) & occurrence_of(all_11_2_5, v0))
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (23) with all_65_0_25, all_11_2_5 and discharging atoms atocc(all_11_2_5, all_65_0_25), yields:
% 33.38/9.64  | (168)  ? [v0] : (atomic(v0) & subactivity(all_65_0_25, v0) & occurrence_of(all_11_2_5, v0))
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (26) with all_11_0_3, all_57_0_21, tptp0 and discharging atoms min_precedes(all_57_0_21, all_11_0_3, tptp0), yields:
% 33.38/9.64  | (169)  ? [v0] :  ? [v1] : (atocc(all_57_0_21, v0) & atocc(all_11_0_3, v1) & subactivity(v1, tptp0) & subactivity(v0, tptp0))
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (64) with all_11_0_3, all_57_0_21, tptp0 and discharging atoms min_precedes(all_57_0_21, all_11_0_3, tptp0), yields:
% 33.38/9.64  | (170)  ? [v0] : (subactivity_occurrence(all_57_0_21, v0) & subactivity_occurrence(all_11_0_3, v0) & occurrence_of(v0, tptp0))
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (30) with tptp0, all_11_0_3, all_57_0_21 and discharging atoms min_precedes(all_57_0_21, all_11_0_3, tptp0), yields:
% 33.38/9.64  | (106)  ? [v0] : (root(v0, tptp0) & min_precedes(v0, all_11_0_3, tptp0))
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (26) with all_11_2_5, all_53_0_19, tptp0 and discharging atoms min_precedes(all_53_0_19, all_11_2_5, tptp0), yields:
% 33.38/9.64  | (172)  ? [v0] :  ? [v1] : (atocc(all_53_0_19, v0) & atocc(all_11_2_5, v1) & subactivity(v1, tptp0) & subactivity(v0, tptp0))
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (30) with tptp0, all_11_2_5, all_53_0_19 and discharging atoms min_precedes(all_53_0_19, all_11_2_5, tptp0), yields:
% 33.38/9.64  | (111)  ? [v0] : (root(v0, tptp0) & min_precedes(v0, all_11_2_5, tptp0))
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (34) with tptp3, tptp3, all_11_2_5 and discharging atoms atomic(tptp3), subactivity(tptp3, tptp3), occurrence_of(all_11_2_5, tptp3), yields:
% 33.38/9.64  | (174) atocc(all_11_2_5, tptp3)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (41) with all_19_0_6 and discharging atoms activity_occurrence(all_19_0_6), yields:
% 33.38/9.64  | (175)  ? [v0] : (activity(v0) & occurrence_of(all_19_0_6, v0))
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (19) with all_69_0_29, tptp0, all_11_0_3, all_57_0_21 and discharging atoms subactivity_occurrence(all_11_0_3, all_69_0_29), min_precedes(all_57_0_21, all_11_0_3, tptp0), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.64  | (176) subactivity_occurrence(all_57_0_21, all_69_0_29)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (43) with tptp0, all_69_0_29, all_11_0_3 and discharging atoms subactivity_occurrence(all_11_0_3, all_69_0_29), leaf(all_11_0_3, tptp0), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.64  | (177) leaf_occ(all_11_0_3, all_69_0_29)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (19) with all_69_0_29, tptp0, all_11_1_4, all_11_2_5 and discharging atoms subactivity_occurrence(all_11_1_4, all_69_0_29), min_precedes(all_11_2_5, all_11_1_4, tptp0), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.64  | (178) subactivity_occurrence(all_11_2_5, all_69_0_29)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (19) with all_69_0_29, tptp0, all_11_1_4, all_63_0_24 and discharging atoms subactivity_occurrence(all_11_1_4, all_69_0_29), min_precedes(all_63_0_24, all_11_1_4, tptp0), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.64  | (179) subactivity_occurrence(all_63_0_24, all_69_0_29)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (59) with all_69_0_29, tptp0 and discharging atoms occurrence_of(all_69_0_29, tptp0),  ~ atomic(tptp0), yields:
% 33.38/9.64  | (180)  ? [v0] : (subactivity_occurrence(v0, all_69_0_29) & root(v0, tptp0))
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (71) with all_69_0_29, tptp0 and discharging atoms occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.64  | (181) activity_occurrence(all_69_0_29)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (19) with all_55_0_20, tptp0, all_11_1_4, all_63_0_24 and discharging atoms subactivity_occurrence(all_11_1_4, all_55_0_20), min_precedes(all_63_0_24, all_11_1_4, tptp0), occurrence_of(all_55_0_20, tptp0), yields:
% 33.38/9.64  | (182) subactivity_occurrence(all_63_0_24, all_55_0_20)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (19) with all_55_0_20, tptp0, all_11_2_5, all_53_0_19 and discharging atoms subactivity_occurrence(all_11_2_5, all_55_0_20), min_precedes(all_53_0_19, all_11_2_5, tptp0), occurrence_of(all_55_0_20, tptp0), yields:
% 33.38/9.64  | (183) subactivity_occurrence(all_53_0_19, all_55_0_20)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (59) with all_55_0_20, tptp0 and discharging atoms occurrence_of(all_55_0_20, tptp0),  ~ atomic(tptp0), yields:
% 33.38/9.64  | (184)  ? [v0] : (subactivity_occurrence(v0, all_55_0_20) & root(v0, tptp0))
% 33.38/9.64  |
% 33.38/9.64  | Instantiating formula (71) with all_55_0_20, tptp0 and discharging atoms occurrence_of(all_55_0_20, tptp0), yields:
% 33.38/9.64  | (185) activity_occurrence(all_55_0_20)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating (170) with all_97_0_38 yields:
% 33.38/9.64  | (186) subactivity_occurrence(all_57_0_21, all_97_0_38) & subactivity_occurrence(all_11_0_3, all_97_0_38) & occurrence_of(all_97_0_38, tptp0)
% 33.38/9.64  |
% 33.38/9.64  | Applying alpha-rule on (186) yields:
% 33.38/9.64  | (187) subactivity_occurrence(all_57_0_21, all_97_0_38)
% 33.38/9.64  | (188) subactivity_occurrence(all_11_0_3, all_97_0_38)
% 33.38/9.64  | (189) occurrence_of(all_97_0_38, tptp0)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating (166) with all_105_0_42 yields:
% 33.38/9.64  | (190) atomic(all_105_0_42) & subactivity(all_39_0_11, all_105_0_42) & occurrence_of(all_11_0_3, all_105_0_42)
% 33.38/9.64  |
% 33.38/9.64  | Applying alpha-rule on (190) yields:
% 33.38/9.64  | (191) atomic(all_105_0_42)
% 33.38/9.64  | (192) subactivity(all_39_0_11, all_105_0_42)
% 33.38/9.64  | (193) occurrence_of(all_11_0_3, all_105_0_42)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating (175) with all_109_0_44 yields:
% 33.38/9.64  | (194) activity(all_109_0_44) & occurrence_of(all_19_0_6, all_109_0_44)
% 33.38/9.64  |
% 33.38/9.64  | Applying alpha-rule on (194) yields:
% 33.38/9.64  | (195) activity(all_109_0_44)
% 33.38/9.64  | (196) occurrence_of(all_19_0_6, all_109_0_44)
% 33.38/9.64  |
% 33.38/9.64  | Instantiating (168) with all_111_0_45 yields:
% 33.38/9.64  | (197) atomic(all_111_0_45) & subactivity(all_65_0_25, all_111_0_45) & occurrence_of(all_11_2_5, all_111_0_45)
% 33.38/9.64  |
% 33.38/9.64  | Applying alpha-rule on (197) yields:
% 33.38/9.64  | (198) atomic(all_111_0_45)
% 33.38/9.64  | (199) subactivity(all_65_0_25, all_111_0_45)
% 33.38/9.64  | (200) occurrence_of(all_11_2_5, all_111_0_45)
% 33.38/9.64  |
% 33.38/9.65  | Instantiating (172) with all_115_0_47, all_115_1_48 yields:
% 33.38/9.65  | (201) atocc(all_53_0_19, all_115_1_48) & atocc(all_11_2_5, all_115_0_47) & subactivity(all_115_0_47, tptp0) & subactivity(all_115_1_48, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Applying alpha-rule on (201) yields:
% 33.38/9.65  | (202) atocc(all_53_0_19, all_115_1_48)
% 33.38/9.65  | (203) atocc(all_11_2_5, all_115_0_47)
% 33.38/9.65  | (204) subactivity(all_115_0_47, tptp0)
% 33.38/9.65  | (205) subactivity(all_115_1_48, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Instantiating (106) with all_117_0_49 yields:
% 33.38/9.65  | (206) root(all_117_0_49, tptp0) & min_precedes(all_117_0_49, all_11_0_3, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Applying alpha-rule on (206) yields:
% 33.38/9.65  | (207) root(all_117_0_49, tptp0)
% 33.38/9.65  | (208) min_precedes(all_117_0_49, all_11_0_3, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Instantiating (167) with all_119_0_50 yields:
% 33.38/9.65  | (209) atomic(all_119_0_50) & subactivity(all_67_1_28, all_119_0_50) & occurrence_of(all_11_2_5, all_119_0_50)
% 33.38/9.65  |
% 33.38/9.65  | Applying alpha-rule on (209) yields:
% 33.38/9.65  | (210) atomic(all_119_0_50)
% 33.38/9.65  | (211) subactivity(all_67_1_28, all_119_0_50)
% 33.38/9.65  | (212) occurrence_of(all_11_2_5, all_119_0_50)
% 33.38/9.65  |
% 33.38/9.65  | Instantiating (169) with all_121_0_51, all_121_1_52 yields:
% 33.38/9.65  | (213) atocc(all_57_0_21, all_121_1_52) & atocc(all_11_0_3, all_121_0_51) & subactivity(all_121_0_51, tptp0) & subactivity(all_121_1_52, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Applying alpha-rule on (213) yields:
% 33.38/9.65  | (214) atocc(all_57_0_21, all_121_1_52)
% 33.38/9.65  | (215) atocc(all_11_0_3, all_121_0_51)
% 33.38/9.65  | (216) subactivity(all_121_0_51, tptp0)
% 33.38/9.65  | (217) subactivity(all_121_1_52, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Instantiating (111) with all_125_0_54 yields:
% 33.38/9.65  | (218) root(all_125_0_54, tptp0) & min_precedes(all_125_0_54, all_11_2_5, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Applying alpha-rule on (218) yields:
% 33.38/9.65  | (219) root(all_125_0_54, tptp0)
% 33.38/9.65  | (220) min_precedes(all_125_0_54, all_11_2_5, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Instantiating (184) with all_131_0_57 yields:
% 33.38/9.65  | (221) subactivity_occurrence(all_131_0_57, all_55_0_20) & root(all_131_0_57, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Applying alpha-rule on (221) yields:
% 33.38/9.65  | (222) subactivity_occurrence(all_131_0_57, all_55_0_20)
% 33.38/9.65  | (223) root(all_131_0_57, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Instantiating (180) with all_133_0_58 yields:
% 33.38/9.65  | (224) subactivity_occurrence(all_133_0_58, all_69_0_29) & root(all_133_0_58, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Applying alpha-rule on (224) yields:
% 33.38/9.65  | (225) subactivity_occurrence(all_133_0_58, all_69_0_29)
% 33.38/9.65  | (226) root(all_133_0_58, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | Instantiating formula (66) with all_109_0_44, tptp0, all_19_0_6 and discharging atoms occurrence_of(all_19_0_6, all_109_0_44), occurrence_of(all_19_0_6, tptp0), yields:
% 33.38/9.65  | (227) all_109_0_44 = tptp0
% 33.38/9.65  |
% 33.38/9.65  | Instantiating formula (66) with all_119_0_50, tptp3, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_119_0_50), occurrence_of(all_11_2_5, tptp3), yields:
% 33.38/9.65  | (228) all_119_0_50 = tptp3
% 33.38/9.65  |
% 33.38/9.65  | Instantiating formula (66) with all_111_0_45, all_119_0_50, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_119_0_50), occurrence_of(all_11_2_5, all_111_0_45), yields:
% 33.38/9.65  | (229) all_119_0_50 = all_111_0_45
% 33.38/9.65  |
% 33.38/9.65  | Combining equations (228,229) yields a new equation:
% 33.38/9.65  | (230) all_111_0_45 = tptp3
% 33.38/9.65  |
% 33.38/9.65  | From (227) and (196) follows:
% 33.38/9.65  | (102) occurrence_of(all_19_0_6, tptp0)
% 33.38/9.65  |
% 33.38/9.65  | From (230) and (200) follows:
% 33.38/9.65  | (86) occurrence_of(all_11_2_5, tptp3)
% 33.38/9.65  |
% 33.38/9.65  | Instantiating formula (73) with all_69_0_29, all_11_0_3 and discharging atoms leaf_occ(all_11_0_3, all_69_0_29), yields:
% 33.38/9.65  | (233)  ? [v0] : (subactivity_occurrence(all_11_0_3, all_69_0_29) & leaf(all_11_0_3, v0) & occurrence_of(all_69_0_29, v0))
% 33.38/9.65  |
% 33.38/9.65  | Instantiating formula (28) with all_19_0_6, all_61_0_23 and discharging atoms root_occ(all_61_0_23, all_19_0_6), yields:
% 33.38/9.65  | (234)  ? [v0] : (subactivity_occurrence(all_61_0_23, all_19_0_6) & root(all_61_0_23, v0) & occurrence_of(all_19_0_6, v0))
% 33.38/9.65  |
% 33.38/9.65  | Instantiating formula (22) with tptp0, all_69_0_29, all_63_0_24 and discharging atoms subactivity_occurrence(all_63_0_24, all_69_0_29), root(all_63_0_24, tptp0), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.65  | (235) root_occ(all_63_0_24, all_69_0_29)
% 33.38/9.65  |
% 33.38/9.65  | Instantiating formula (22) with tptp0, all_55_0_20, all_63_0_24 and discharging atoms subactivity_occurrence(all_63_0_24, all_55_0_20), root(all_63_0_24, tptp0), occurrence_of(all_55_0_20, tptp0), yields:
% 33.38/9.66  | (236) root_occ(all_63_0_24, all_55_0_20)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (22) with tptp0, all_69_0_29, all_57_0_21 and discharging atoms subactivity_occurrence(all_57_0_21, all_69_0_29), root(all_57_0_21, tptp0), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.66  | (237) root_occ(all_57_0_21, all_69_0_29)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (22) with tptp0, all_55_0_20, all_53_0_19 and discharging atoms subactivity_occurrence(all_53_0_19, all_55_0_20), root(all_53_0_19, tptp0), occurrence_of(all_55_0_20, tptp0), yields:
% 33.38/9.66  | (238) root_occ(all_53_0_19, all_55_0_20)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (19) with all_19_0_6, tptp0, all_11_1_4, all_11_2_5 and discharging atoms subactivity_occurrence(all_11_1_4, all_19_0_6), min_precedes(all_11_2_5, all_11_1_4, tptp0), occurrence_of(all_19_0_6, tptp0), yields:
% 33.38/9.66  | (239) subactivity_occurrence(all_11_2_5, all_19_0_6)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (77) with all_69_0_29, all_11_2_5 and discharging atoms subactivity_occurrence(all_11_2_5, all_69_0_29), arboreal(all_11_2_5), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.66  | (240) leaf_occ(all_11_2_5, all_69_0_29) |  ? [v0] :  ? [v1] :  ? [v2] : (next_subocc(v1, v2, tptp0) & next_subocc(v0, v1, tptp0) & next_subocc(all_11_2_5, v0, tptp0) & leaf(v2, tptp0) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (22) with tptp0, all_69_0_29, all_133_0_58 and discharging atoms subactivity_occurrence(all_133_0_58, all_69_0_29), root(all_133_0_58, tptp0), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.66  | (241) root_occ(all_133_0_58, all_69_0_29)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (22) with tptp0, all_55_0_20, all_131_0_57 and discharging atoms subactivity_occurrence(all_131_0_57, all_55_0_20), root(all_131_0_57, tptp0), occurrence_of(all_55_0_20, tptp0), yields:
% 33.38/9.66  | (242) root_occ(all_131_0_57, all_55_0_20)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (23) with all_121_0_51, all_11_0_3 and discharging atoms atocc(all_11_0_3, all_121_0_51), yields:
% 33.38/9.66  | (243)  ? [v0] : (atomic(v0) & subactivity(all_121_0_51, v0) & occurrence_of(all_11_0_3, v0))
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (23) with all_115_0_47, all_11_2_5 and discharging atoms atocc(all_11_2_5, all_115_0_47), yields:
% 33.38/9.66  | (244)  ? [v0] : (atomic(v0) & subactivity(all_115_0_47, v0) & occurrence_of(all_11_2_5, v0))
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (23) with tptp3, all_11_2_5 and discharging atoms atocc(all_11_2_5, tptp3), yields:
% 33.38/9.66  | (245)  ? [v0] : (atomic(v0) & subactivity(tptp3, v0) & occurrence_of(all_11_2_5, v0))
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (26) with all_11_2_5, all_125_0_54, tptp0 and discharging atoms min_precedes(all_125_0_54, all_11_2_5, tptp0), yields:
% 33.38/9.66  | (246)  ? [v0] :  ? [v1] : (atocc(all_125_0_54, v0) & atocc(all_11_2_5, v1) & subactivity(v1, tptp0) & subactivity(v0, tptp0))
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (26) with all_11_0_3, all_117_0_49, tptp0 and discharging atoms min_precedes(all_117_0_49, all_11_0_3, tptp0), yields:
% 33.38/9.66  | (247)  ? [v0] :  ? [v1] : (atocc(all_117_0_49, v0) & atocc(all_11_0_3, v1) & subactivity(v1, tptp0) & subactivity(v0, tptp0))
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (41) with all_69_0_29 and discharging atoms activity_occurrence(all_69_0_29), yields:
% 33.38/9.66  | (248)  ? [v0] : (activity(v0) & occurrence_of(all_69_0_29, v0))
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (41) with all_55_0_20 and discharging atoms activity_occurrence(all_55_0_20), yields:
% 33.38/9.66  | (249)  ? [v0] : (activity(v0) & occurrence_of(all_55_0_20, v0))
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (41) with all_11_0_3 and discharging atoms activity_occurrence(all_11_0_3), yields:
% 33.38/9.66  | (250)  ? [v0] : (activity(v0) & occurrence_of(all_11_0_3, v0))
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (22) with tptp0, all_97_0_38, all_57_0_21 and discharging atoms subactivity_occurrence(all_57_0_21, all_97_0_38), root(all_57_0_21, tptp0), occurrence_of(all_97_0_38, tptp0), yields:
% 33.38/9.66  | (251) root_occ(all_57_0_21, all_97_0_38)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (43) with tptp0, all_97_0_38, all_11_0_3 and discharging atoms subactivity_occurrence(all_11_0_3, all_97_0_38), leaf(all_11_0_3, tptp0), occurrence_of(all_97_0_38, tptp0), yields:
% 33.38/9.66  | (252) leaf_occ(all_11_0_3, all_97_0_38)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating formula (71) with all_97_0_38, tptp0 and discharging atoms occurrence_of(all_97_0_38, tptp0), yields:
% 33.38/9.66  | (253) activity_occurrence(all_97_0_38)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating (247) with all_167_0_71, all_167_1_72 yields:
% 33.38/9.66  | (254) atocc(all_117_0_49, all_167_1_72) & atocc(all_11_0_3, all_167_0_71) & subactivity(all_167_0_71, tptp0) & subactivity(all_167_1_72, tptp0)
% 33.38/9.66  |
% 33.38/9.66  | Applying alpha-rule on (254) yields:
% 33.38/9.66  | (255) atocc(all_117_0_49, all_167_1_72)
% 33.38/9.66  | (256) atocc(all_11_0_3, all_167_0_71)
% 33.38/9.66  | (257) subactivity(all_167_0_71, tptp0)
% 33.38/9.66  | (258) subactivity(all_167_1_72, tptp0)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating (245) with all_173_0_75 yields:
% 33.38/9.66  | (259) atomic(all_173_0_75) & subactivity(tptp3, all_173_0_75) & occurrence_of(all_11_2_5, all_173_0_75)
% 33.38/9.66  |
% 33.38/9.66  | Applying alpha-rule on (259) yields:
% 33.38/9.66  | (260) atomic(all_173_0_75)
% 33.38/9.66  | (261) subactivity(tptp3, all_173_0_75)
% 33.38/9.66  | (262) occurrence_of(all_11_2_5, all_173_0_75)
% 33.38/9.66  |
% 33.38/9.66  | Instantiating (244) with all_175_0_76 yields:
% 33.38/9.66  | (263) atomic(all_175_0_76) & subactivity(all_115_0_47, all_175_0_76) & occurrence_of(all_11_2_5, all_175_0_76)
% 33.38/9.66  |
% 33.38/9.66  | Applying alpha-rule on (263) yields:
% 33.38/9.66  | (264) atomic(all_175_0_76)
% 33.38/9.66  | (265) subactivity(all_115_0_47, all_175_0_76)
% 33.38/9.67  | (266) occurrence_of(all_11_2_5, all_175_0_76)
% 33.38/9.67  |
% 33.38/9.67  | Instantiating (233) with all_177_0_77 yields:
% 33.38/9.67  | (267) subactivity_occurrence(all_11_0_3, all_69_0_29) & leaf(all_11_0_3, all_177_0_77) & occurrence_of(all_69_0_29, all_177_0_77)
% 33.38/9.67  |
% 33.38/9.67  | Applying alpha-rule on (267) yields:
% 33.38/9.67  | (155) subactivity_occurrence(all_11_0_3, all_69_0_29)
% 33.38/9.67  | (269) leaf(all_11_0_3, all_177_0_77)
% 33.38/9.67  | (270) occurrence_of(all_69_0_29, all_177_0_77)
% 33.38/9.67  |
% 33.38/9.67  | Instantiating (243) with all_187_0_82 yields:
% 33.38/9.67  | (271) atomic(all_187_0_82) & subactivity(all_121_0_51, all_187_0_82) & occurrence_of(all_11_0_3, all_187_0_82)
% 33.38/9.67  |
% 33.38/9.67  | Applying alpha-rule on (271) yields:
% 33.38/9.67  | (272) atomic(all_187_0_82)
% 33.38/9.67  | (273) subactivity(all_121_0_51, all_187_0_82)
% 33.38/9.67  | (274) occurrence_of(all_11_0_3, all_187_0_82)
% 33.38/9.67  |
% 33.38/9.67  | Instantiating (246) with all_193_0_85, all_193_1_86 yields:
% 33.38/9.67  | (275) atocc(all_125_0_54, all_193_1_86) & atocc(all_11_2_5, all_193_0_85) & subactivity(all_193_0_85, tptp0) & subactivity(all_193_1_86, tptp0)
% 33.38/9.67  |
% 33.38/9.67  | Applying alpha-rule on (275) yields:
% 33.38/9.67  | (276) atocc(all_125_0_54, all_193_1_86)
% 33.38/9.67  | (277) atocc(all_11_2_5, all_193_0_85)
% 33.38/9.67  | (278) subactivity(all_193_0_85, tptp0)
% 33.38/9.67  | (279) subactivity(all_193_1_86, tptp0)
% 33.38/9.67  |
% 33.38/9.67  | Instantiating (250) with all_209_0_94 yields:
% 33.38/9.67  | (280) activity(all_209_0_94) & occurrence_of(all_11_0_3, all_209_0_94)
% 33.38/9.67  |
% 33.38/9.67  | Applying alpha-rule on (280) yields:
% 33.38/9.67  | (281) activity(all_209_0_94)
% 33.38/9.67  | (282) occurrence_of(all_11_0_3, all_209_0_94)
% 33.38/9.67  |
% 33.38/9.67  | Instantiating (249) with all_211_0_95 yields:
% 33.38/9.67  | (283) activity(all_211_0_95) & occurrence_of(all_55_0_20, all_211_0_95)
% 33.38/9.67  |
% 33.38/9.67  | Applying alpha-rule on (283) yields:
% 33.38/9.67  | (284) activity(all_211_0_95)
% 33.38/9.67  | (285) occurrence_of(all_55_0_20, all_211_0_95)
% 33.38/9.67  |
% 33.38/9.67  | Instantiating (248) with all_225_0_103 yields:
% 33.38/9.67  | (286) activity(all_225_0_103) & occurrence_of(all_69_0_29, all_225_0_103)
% 33.38/9.67  |
% 33.38/9.67  | Applying alpha-rule on (286) yields:
% 33.38/9.67  | (287) activity(all_225_0_103)
% 33.38/9.67  | (288) occurrence_of(all_69_0_29, all_225_0_103)
% 33.38/9.67  |
% 33.38/9.67  | Instantiating (234) with all_227_0_104 yields:
% 33.38/9.67  | (289) subactivity_occurrence(all_61_0_23, all_19_0_6) & root(all_61_0_23, all_227_0_104) & occurrence_of(all_19_0_6, all_227_0_104)
% 33.38/9.67  |
% 33.38/9.67  | Applying alpha-rule on (289) yields:
% 33.38/9.67  | (139) subactivity_occurrence(all_61_0_23, all_19_0_6)
% 33.38/9.67  | (291) root(all_61_0_23, all_227_0_104)
% 33.38/9.67  | (292) occurrence_of(all_19_0_6, all_227_0_104)
% 33.38/9.67  |
% 33.38/9.67  | Instantiating formula (66) with all_225_0_103, tptp0, all_69_0_29 and discharging atoms occurrence_of(all_69_0_29, all_225_0_103), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.67  | (293) all_225_0_103 = tptp0
% 33.38/9.67  |
% 33.38/9.67  | Instantiating formula (61) with all_177_0_77, all_69_0_29, all_133_0_58, all_63_0_24 and discharging atoms root_occ(all_133_0_58, all_69_0_29), root_occ(all_63_0_24, all_69_0_29), occurrence_of(all_69_0_29, all_177_0_77), yields:
% 33.38/9.67  | (294) all_133_0_58 = all_63_0_24
% 33.38/9.67  |
% 33.38/9.67  | Instantiating formula (61) with all_177_0_77, all_69_0_29, all_133_0_58, all_57_0_21 and discharging atoms root_occ(all_133_0_58, all_69_0_29), root_occ(all_57_0_21, all_69_0_29), occurrence_of(all_69_0_29, all_177_0_77), yields:
% 33.38/9.67  | (295) all_133_0_58 = all_57_0_21
% 33.38/9.67  |
% 33.38/9.67  | Instantiating formula (66) with all_177_0_77, all_225_0_103, all_69_0_29 and discharging atoms occurrence_of(all_69_0_29, all_225_0_103), occurrence_of(all_69_0_29, all_177_0_77), yields:
% 33.38/9.67  | (296) all_225_0_103 = all_177_0_77
% 33.38/9.67  |
% 33.38/9.67  | Instantiating formula (61) with all_211_0_95, all_55_0_20, all_131_0_57, all_63_0_24 and discharging atoms root_occ(all_131_0_57, all_55_0_20), root_occ(all_63_0_24, all_55_0_20), occurrence_of(all_55_0_20, all_211_0_95), yields:
% 33.38/9.67  | (297) all_131_0_57 = all_63_0_24
% 33.38/9.67  |
% 33.38/9.67  | Instantiating formula (61) with all_211_0_95, all_55_0_20, all_131_0_57, all_53_0_19 and discharging atoms root_occ(all_131_0_57, all_55_0_20), root_occ(all_53_0_19, all_55_0_20), occurrence_of(all_55_0_20, all_211_0_95), yields:
% 33.38/9.67  | (298) all_131_0_57 = all_53_0_19
% 33.38/9.67  |
% 33.38/9.67  | Instantiating formula (66) with all_227_0_104, tptp0, all_19_0_6 and discharging atoms occurrence_of(all_19_0_6, all_227_0_104), occurrence_of(all_19_0_6, tptp0), yields:
% 33.38/9.67  | (299) all_227_0_104 = tptp0
% 33.38/9.68  |
% 33.38/9.68  | Instantiating formula (66) with all_209_0_94, all_105_0_42, all_11_0_3 and discharging atoms occurrence_of(all_11_0_3, all_209_0_94), occurrence_of(all_11_0_3, all_105_0_42), yields:
% 33.38/9.68  | (300) all_209_0_94 = all_105_0_42
% 33.38/9.68  |
% 33.38/9.68  | Instantiating formula (66) with all_187_0_82, all_209_0_94, all_11_0_3 and discharging atoms occurrence_of(all_11_0_3, all_209_0_94), occurrence_of(all_11_0_3, all_187_0_82), yields:
% 33.38/9.68  | (301) all_209_0_94 = all_187_0_82
% 33.38/9.68  |
% 33.38/9.68  | Instantiating formula (66) with all_175_0_76, tptp3, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_175_0_76), occurrence_of(all_11_2_5, tptp3), yields:
% 33.38/9.68  | (302) all_175_0_76 = tptp3
% 33.38/9.68  |
% 33.38/9.68  | Instantiating formula (66) with all_173_0_75, all_175_0_76, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_175_0_76), occurrence_of(all_11_2_5, all_173_0_75), yields:
% 33.38/9.68  | (303) all_175_0_76 = all_173_0_75
% 33.38/9.68  |
% 33.38/9.68  | Combining equations (296,293) yields a new equation:
% 33.38/9.68  | (304) all_177_0_77 = tptp0
% 33.38/9.68  |
% 33.38/9.68  | Simplifying 304 yields:
% 33.38/9.68  | (305) all_177_0_77 = tptp0
% 33.38/9.68  |
% 33.38/9.68  | Combining equations (301,300) yields a new equation:
% 33.38/9.68  | (306) all_187_0_82 = all_105_0_42
% 33.38/9.68  |
% 33.38/9.68  | Simplifying 306 yields:
% 33.38/9.68  | (307) all_187_0_82 = all_105_0_42
% 33.38/9.68  |
% 33.38/9.68  | Combining equations (303,302) yields a new equation:
% 33.38/9.68  | (308) all_173_0_75 = tptp3
% 33.38/9.68  |
% 33.38/9.68  | Simplifying 308 yields:
% 33.38/9.68  | (309) all_173_0_75 = tptp3
% 33.38/9.68  |
% 33.38/9.68  | Combining equations (294,295) yields a new equation:
% 33.38/9.68  | (310) all_63_0_24 = all_57_0_21
% 33.38/9.68  |
% 33.38/9.68  | Simplifying 310 yields:
% 33.38/9.68  | (311) all_63_0_24 = all_57_0_21
% 33.38/9.68  |
% 33.38/9.68  | Combining equations (298,297) yields a new equation:
% 33.38/9.68  | (312) all_63_0_24 = all_53_0_19
% 33.38/9.68  |
% 33.38/9.68  | Combining equations (311,312) yields a new equation:
% 33.38/9.68  | (313) all_57_0_21 = all_53_0_19
% 33.38/9.68  |
% 33.38/9.68  | Simplifying 313 yields:
% 33.38/9.68  | (314) all_57_0_21 = all_53_0_19
% 33.38/9.68  |
% 33.38/9.68  | From (314) and (251) follows:
% 33.38/9.68  | (315) root_occ(all_53_0_19, all_97_0_38)
% 33.38/9.68  |
% 33.38/9.68  | From (314) and (237) follows:
% 33.38/9.68  | (316) root_occ(all_53_0_19, all_69_0_29)
% 33.38/9.68  |
% 33.38/9.68  | From (305) and (270) follows:
% 33.38/9.68  | (157) occurrence_of(all_69_0_29, tptp0)
% 33.38/9.68  |
% 33.38/9.68  | From (299) and (292) follows:
% 33.38/9.68  | (102) occurrence_of(all_19_0_6, tptp0)
% 33.38/9.68  |
% 33.38/9.68  | From (307) and (274) follows:
% 33.38/9.68  | (193) occurrence_of(all_11_0_3, all_105_0_42)
% 33.38/9.68  |
% 33.38/9.68  | From (309) and (262) follows:
% 33.38/9.68  | (86) occurrence_of(all_11_2_5, tptp3)
% 33.38/9.68  |
% 33.38/9.68  +-Applying beta-rule and splitting (92), into two cases.
% 33.38/9.68  |-Branch one:
% 33.38/9.68  | (321) occurrence_of(all_11_0_3, tptp1)
% 33.38/9.68  |
% 33.38/9.68  	| Instantiating formula (66) with tptp1, all_105_0_42, all_11_0_3 and discharging atoms occurrence_of(all_11_0_3, all_105_0_42), occurrence_of(all_11_0_3, tptp1), yields:
% 33.38/9.68  	| (322) all_105_0_42 = tptp1
% 33.38/9.68  	|
% 33.38/9.68  	| From (322) and (193) follows:
% 33.38/9.68  	| (321) occurrence_of(all_11_0_3, tptp1)
% 33.38/9.68  	|
% 33.38/9.68  	| Instantiating formula (73) with all_97_0_38, all_11_0_3 and discharging atoms leaf_occ(all_11_0_3, all_97_0_38), yields:
% 33.38/9.68  	| (324)  ? [v0] : (subactivity_occurrence(all_11_0_3, all_97_0_38) & leaf(all_11_0_3, v0) & occurrence_of(all_97_0_38, v0))
% 33.38/9.68  	|
% 33.38/9.68  	| Instantiating formula (28) with all_97_0_38, all_53_0_19 and discharging atoms root_occ(all_53_0_19, all_97_0_38), yields:
% 33.38/9.68  	| (325)  ? [v0] : (subactivity_occurrence(all_53_0_19, all_97_0_38) & root(all_53_0_19, v0) & occurrence_of(all_97_0_38, v0))
% 33.38/9.68  	|
% 33.38/9.68  	| Instantiating formula (28) with all_69_0_29, all_53_0_19 and discharging atoms root_occ(all_53_0_19, all_69_0_29), yields:
% 33.38/9.68  	| (326)  ? [v0] : (subactivity_occurrence(all_53_0_19, all_69_0_29) & root(all_53_0_19, v0) & occurrence_of(all_69_0_29, v0))
% 33.38/9.68  	|
% 33.38/9.68  	| Instantiating formula (35) with all_11_0_3, all_11_2_5, all_19_0_6, tptp0 and discharging atoms leaf_occ(all_11_0_3, all_19_0_6), subactivity_occurrence(all_11_2_5, all_19_0_6), arboreal(all_11_2_5), occurrence_of(all_19_0_6, tptp0), yields:
% 33.38/9.68  	| (327) all_11_0_3 = all_11_2_5 | min_precedes(all_11_2_5, all_11_0_3, tptp0)
% 33.38/9.68  	|
% 33.38/9.68  	| Instantiating formula (23) with all_167_0_71, all_11_0_3 and discharging atoms atocc(all_11_0_3, all_167_0_71), yields:
% 33.38/9.68  	| (328)  ? [v0] : (atomic(v0) & subactivity(all_167_0_71, v0) & occurrence_of(all_11_0_3, v0))
% 33.38/9.68  	|
% 33.38/9.68  	| Instantiating formula (23) with all_193_0_85, all_11_2_5 and discharging atoms atocc(all_11_2_5, all_193_0_85), yields:
% 33.38/9.68  	| (329)  ? [v0] : (atomic(v0) & subactivity(all_193_0_85, v0) & occurrence_of(all_11_2_5, v0))
% 33.38/9.68  	|
% 33.38/9.68  	| Instantiating formula (41) with all_97_0_38 and discharging atoms activity_occurrence(all_97_0_38), yields:
% 33.38/9.68  	| (330)  ? [v0] : (activity(v0) & occurrence_of(all_97_0_38, v0))
% 33.38/9.68  	|
% 33.38/9.68  	| Instantiating (325) with all_401_0_141 yields:
% 33.38/9.68  	| (331) subactivity_occurrence(all_53_0_19, all_97_0_38) & root(all_53_0_19, all_401_0_141) & occurrence_of(all_97_0_38, all_401_0_141)
% 33.38/9.68  	|
% 33.38/9.68  	| Applying alpha-rule on (331) yields:
% 33.38/9.68  	| (332) subactivity_occurrence(all_53_0_19, all_97_0_38)
% 33.38/9.69  	| (333) root(all_53_0_19, all_401_0_141)
% 33.38/9.69  	| (334) occurrence_of(all_97_0_38, all_401_0_141)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (330) with all_427_0_156 yields:
% 33.38/9.69  	| (335) activity(all_427_0_156) & occurrence_of(all_97_0_38, all_427_0_156)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (335) yields:
% 33.38/9.69  	| (336) activity(all_427_0_156)
% 33.38/9.69  	| (337) occurrence_of(all_97_0_38, all_427_0_156)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (326) with all_443_0_164 yields:
% 33.38/9.69  	| (338) subactivity_occurrence(all_53_0_19, all_69_0_29) & root(all_53_0_19, all_443_0_164) & occurrence_of(all_69_0_29, all_443_0_164)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (338) yields:
% 33.38/9.69  	| (339) subactivity_occurrence(all_53_0_19, all_69_0_29)
% 33.38/9.69  	| (340) root(all_53_0_19, all_443_0_164)
% 33.38/9.69  	| (341) occurrence_of(all_69_0_29, all_443_0_164)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (324) with all_561_0_226 yields:
% 33.38/9.69  	| (342) subactivity_occurrence(all_11_0_3, all_97_0_38) & leaf(all_11_0_3, all_561_0_226) & occurrence_of(all_97_0_38, all_561_0_226)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (342) yields:
% 33.38/9.69  	| (188) subactivity_occurrence(all_11_0_3, all_97_0_38)
% 33.38/9.69  	| (344) leaf(all_11_0_3, all_561_0_226)
% 33.38/9.69  	| (345) occurrence_of(all_97_0_38, all_561_0_226)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (328) with all_591_0_246 yields:
% 33.38/9.69  	| (346) atomic(all_591_0_246) & subactivity(all_167_0_71, all_591_0_246) & occurrence_of(all_11_0_3, all_591_0_246)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (346) yields:
% 33.38/9.69  	| (347) atomic(all_591_0_246)
% 33.38/9.69  	| (348) subactivity(all_167_0_71, all_591_0_246)
% 33.38/9.69  	| (349) occurrence_of(all_11_0_3, all_591_0_246)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (329) with all_595_0_248 yields:
% 33.38/9.69  	| (350) atomic(all_595_0_248) & subactivity(all_193_0_85, all_595_0_248) & occurrence_of(all_11_2_5, all_595_0_248)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (350) yields:
% 33.38/9.69  	| (351) atomic(all_595_0_248)
% 33.38/9.69  	| (352) subactivity(all_193_0_85, all_595_0_248)
% 33.38/9.69  	| (353) occurrence_of(all_11_2_5, all_595_0_248)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (66) with all_427_0_156, tptp0, all_97_0_38 and discharging atoms occurrence_of(all_97_0_38, all_427_0_156), occurrence_of(all_97_0_38, tptp0), yields:
% 33.38/9.69  	| (354) all_427_0_156 = tptp0
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (66) with all_427_0_156, all_561_0_226, all_97_0_38 and discharging atoms occurrence_of(all_97_0_38, all_561_0_226), occurrence_of(all_97_0_38, all_427_0_156), yields:
% 33.38/9.69  	| (355) all_561_0_226 = all_427_0_156
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (66) with all_401_0_141, all_561_0_226, all_97_0_38 and discharging atoms occurrence_of(all_97_0_38, all_561_0_226), occurrence_of(all_97_0_38, all_401_0_141), yields:
% 33.38/9.69  	| (356) all_561_0_226 = all_401_0_141
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (66) with all_443_0_164, tptp0, all_69_0_29 and discharging atoms occurrence_of(all_69_0_29, all_443_0_164), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.69  	| (357) all_443_0_164 = tptp0
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (66) with all_591_0_246, tptp1, all_11_0_3 and discharging atoms occurrence_of(all_11_0_3, all_591_0_246), occurrence_of(all_11_0_3, tptp1), yields:
% 33.38/9.69  	| (358) all_591_0_246 = tptp1
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (66) with all_595_0_248, tptp3, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_595_0_248), occurrence_of(all_11_2_5, tptp3), yields:
% 33.38/9.69  	| (359) all_595_0_248 = tptp3
% 33.38/9.69  	|
% 33.38/9.69  	| Combining equations (355,356) yields a new equation:
% 33.38/9.69  	| (360) all_427_0_156 = all_401_0_141
% 33.38/9.69  	|
% 33.38/9.69  	| Simplifying 360 yields:
% 33.38/9.69  	| (361) all_427_0_156 = all_401_0_141
% 33.38/9.69  	|
% 33.38/9.69  	| Combining equations (354,361) yields a new equation:
% 33.38/9.69  	| (362) all_401_0_141 = tptp0
% 33.38/9.69  	|
% 33.38/9.69  	| Combining equations (362,356) yields a new equation:
% 33.38/9.69  	| (363) all_561_0_226 = tptp0
% 33.38/9.69  	|
% 33.38/9.69  	| From (363) and (344) follows:
% 33.38/9.69  	| (89) leaf(all_11_0_3, tptp0)
% 33.38/9.69  	|
% 33.38/9.69  	| From (357) and (341) follows:
% 33.38/9.69  	| (157) occurrence_of(all_69_0_29, tptp0)
% 33.38/9.69  	|
% 33.38/9.69  	| From (358) and (349) follows:
% 33.38/9.69  	| (321) occurrence_of(all_11_0_3, tptp1)
% 33.38/9.69  	|
% 33.38/9.69  	| From (359) and (353) follows:
% 33.38/9.69  	| (86) occurrence_of(all_11_2_5, tptp3)
% 33.38/9.69  	|
% 33.38/9.69  	+-Applying beta-rule and splitting (240), into two cases.
% 33.38/9.69  	|-Branch one:
% 33.38/9.69  	| (368) leaf_occ(all_11_2_5, all_69_0_29)
% 33.38/9.69  	|
% 33.38/9.69  		| Instantiating formula (5) with all_11_1_4, tptp0, all_11_2_5, all_69_0_29 and discharging atoms leaf_occ(all_11_2_5, all_69_0_29), min_precedes(all_11_2_5, all_11_1_4, tptp0), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.69  		| (369) $false
% 33.38/9.69  		|
% 33.38/9.69  		|-The branch is then unsatisfiable
% 33.38/9.69  	|-Branch two:
% 33.38/9.69  	| (370)  ~ leaf_occ(all_11_2_5, all_69_0_29)
% 33.38/9.69  	| (371)  ? [v0] :  ? [v1] :  ? [v2] : (next_subocc(v1, v2, tptp0) & next_subocc(v0, v1, tptp0) & next_subocc(all_11_2_5, v0, tptp0) & leaf(v2, tptp0) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 33.38/9.69  	|
% 33.38/9.69  		+-Applying beta-rule and splitting (327), into two cases.
% 33.38/9.69  		|-Branch one:
% 33.38/9.69  		| (372) min_precedes(all_11_2_5, all_11_0_3, tptp0)
% 33.38/9.69  		|
% 33.38/9.69  			| Instantiating formula (47) 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:
% 33.38/9.69  			| (369) $false
% 33.38/9.69  			|
% 33.38/9.69  			|-The branch is then unsatisfiable
% 33.38/9.69  		|-Branch two:
% 33.38/9.69  		| (374)  ~ min_precedes(all_11_2_5, all_11_0_3, tptp0)
% 33.38/9.69  		| (375) all_11_0_3 = all_11_2_5
% 33.38/9.69  		|
% 33.38/9.69  			| From (375) and (177) follows:
% 33.38/9.69  			| (368) leaf_occ(all_11_2_5, all_69_0_29)
% 33.38/9.69  			|
% 33.38/9.69  			| Using (368) and (370) yields:
% 33.38/9.69  			| (369) $false
% 33.38/9.69  			|
% 33.38/9.69  			|-The branch is then unsatisfiable
% 33.38/9.69  |-Branch two:
% 33.38/9.69  | (378)  ~ occurrence_of(all_11_0_3, tptp1)
% 33.38/9.69  | (379) occurrence_of(all_11_0_3, tptp2)
% 33.38/9.69  |
% 33.38/9.69  	| Instantiating formula (66) with tptp2, all_105_0_42, all_11_0_3 and discharging atoms occurrence_of(all_11_0_3, all_105_0_42), occurrence_of(all_11_0_3, tptp2), yields:
% 33.38/9.69  	| (380) all_105_0_42 = tptp2
% 33.38/9.69  	|
% 33.38/9.69  	| From (380) and (193) follows:
% 33.38/9.69  	| (379) occurrence_of(all_11_0_3, tptp2)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (73) with all_97_0_38, all_11_0_3 and discharging atoms leaf_occ(all_11_0_3, all_97_0_38), yields:
% 33.38/9.69  	| (324)  ? [v0] : (subactivity_occurrence(all_11_0_3, all_97_0_38) & leaf(all_11_0_3, v0) & occurrence_of(all_97_0_38, v0))
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (28) with all_97_0_38, all_53_0_19 and discharging atoms root_occ(all_53_0_19, all_97_0_38), yields:
% 33.38/9.69  	| (325)  ? [v0] : (subactivity_occurrence(all_53_0_19, all_97_0_38) & root(all_53_0_19, v0) & occurrence_of(all_97_0_38, v0))
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (28) with all_69_0_29, all_53_0_19 and discharging atoms root_occ(all_53_0_19, all_69_0_29), yields:
% 33.38/9.69  	| (326)  ? [v0] : (subactivity_occurrence(all_53_0_19, all_69_0_29) & root(all_53_0_19, v0) & occurrence_of(all_69_0_29, v0))
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (35) with all_11_0_3, all_11_2_5, all_19_0_6, tptp0 and discharging atoms leaf_occ(all_11_0_3, all_19_0_6), subactivity_occurrence(all_11_2_5, all_19_0_6), arboreal(all_11_2_5), occurrence_of(all_19_0_6, tptp0), yields:
% 33.38/9.69  	| (327) all_11_0_3 = all_11_2_5 | min_precedes(all_11_2_5, all_11_0_3, tptp0)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (23) with all_167_0_71, all_11_0_3 and discharging atoms atocc(all_11_0_3, all_167_0_71), yields:
% 33.38/9.69  	| (328)  ? [v0] : (atomic(v0) & subactivity(all_167_0_71, v0) & occurrence_of(all_11_0_3, v0))
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (23) with all_193_0_85, all_11_2_5 and discharging atoms atocc(all_11_2_5, all_193_0_85), yields:
% 33.38/9.69  	| (329)  ? [v0] : (atomic(v0) & subactivity(all_193_0_85, v0) & occurrence_of(all_11_2_5, v0))
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (41) with all_97_0_38 and discharging atoms activity_occurrence(all_97_0_38), yields:
% 33.38/9.69  	| (330)  ? [v0] : (activity(v0) & occurrence_of(all_97_0_38, v0))
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (325) with all_401_0_366 yields:
% 33.38/9.69  	| (389) subactivity_occurrence(all_53_0_19, all_97_0_38) & root(all_53_0_19, all_401_0_366) & occurrence_of(all_97_0_38, all_401_0_366)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (389) yields:
% 33.38/9.69  	| (332) subactivity_occurrence(all_53_0_19, all_97_0_38)
% 33.38/9.69  	| (391) root(all_53_0_19, all_401_0_366)
% 33.38/9.69  	| (392) occurrence_of(all_97_0_38, all_401_0_366)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (330) with all_427_0_381 yields:
% 33.38/9.69  	| (393) activity(all_427_0_381) & occurrence_of(all_97_0_38, all_427_0_381)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (393) yields:
% 33.38/9.69  	| (394) activity(all_427_0_381)
% 33.38/9.69  	| (395) occurrence_of(all_97_0_38, all_427_0_381)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (326) with all_443_0_389 yields:
% 33.38/9.69  	| (396) subactivity_occurrence(all_53_0_19, all_69_0_29) & root(all_53_0_19, all_443_0_389) & occurrence_of(all_69_0_29, all_443_0_389)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (396) yields:
% 33.38/9.69  	| (339) subactivity_occurrence(all_53_0_19, all_69_0_29)
% 33.38/9.69  	| (398) root(all_53_0_19, all_443_0_389)
% 33.38/9.69  	| (399) occurrence_of(all_69_0_29, all_443_0_389)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (324) with all_561_0_451 yields:
% 33.38/9.69  	| (400) subactivity_occurrence(all_11_0_3, all_97_0_38) & leaf(all_11_0_3, all_561_0_451) & occurrence_of(all_97_0_38, all_561_0_451)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (400) yields:
% 33.38/9.69  	| (188) subactivity_occurrence(all_11_0_3, all_97_0_38)
% 33.38/9.69  	| (402) leaf(all_11_0_3, all_561_0_451)
% 33.38/9.69  	| (403) occurrence_of(all_97_0_38, all_561_0_451)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (328) with all_591_0_471 yields:
% 33.38/9.69  	| (404) atomic(all_591_0_471) & subactivity(all_167_0_71, all_591_0_471) & occurrence_of(all_11_0_3, all_591_0_471)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (404) yields:
% 33.38/9.69  	| (405) atomic(all_591_0_471)
% 33.38/9.69  	| (406) subactivity(all_167_0_71, all_591_0_471)
% 33.38/9.69  	| (407) occurrence_of(all_11_0_3, all_591_0_471)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating (329) with all_595_0_473 yields:
% 33.38/9.69  	| (408) atomic(all_595_0_473) & subactivity(all_193_0_85, all_595_0_473) & occurrence_of(all_11_2_5, all_595_0_473)
% 33.38/9.69  	|
% 33.38/9.69  	| Applying alpha-rule on (408) yields:
% 33.38/9.69  	| (409) atomic(all_595_0_473)
% 33.38/9.69  	| (410) subactivity(all_193_0_85, all_595_0_473)
% 33.38/9.69  	| (411) occurrence_of(all_11_2_5, all_595_0_473)
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (66) with all_427_0_381, tptp0, all_97_0_38 and discharging atoms occurrence_of(all_97_0_38, all_427_0_381), occurrence_of(all_97_0_38, tptp0), yields:
% 33.38/9.69  	| (412) all_427_0_381 = tptp0
% 33.38/9.69  	|
% 33.38/9.69  	| Instantiating formula (66) with all_427_0_381, all_561_0_451, all_97_0_38 and discharging atoms occurrence_of(all_97_0_38, all_561_0_451), occurrence_of(all_97_0_38, all_427_0_381), yields:
% 33.38/9.69  	| (413) all_561_0_451 = all_427_0_381
% 33.38/9.69  	|
% 33.38/9.70  	| Instantiating formula (66) with all_401_0_366, all_561_0_451, all_97_0_38 and discharging atoms occurrence_of(all_97_0_38, all_561_0_451), occurrence_of(all_97_0_38, all_401_0_366), yields:
% 33.38/9.70  	| (414) all_561_0_451 = all_401_0_366
% 33.38/9.70  	|
% 33.38/9.70  	| Instantiating formula (66) with all_443_0_389, tptp0, all_69_0_29 and discharging atoms occurrence_of(all_69_0_29, all_443_0_389), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.70  	| (415) all_443_0_389 = tptp0
% 33.38/9.70  	|
% 33.38/9.70  	| Instantiating formula (66) with all_591_0_471, tptp2, all_11_0_3 and discharging atoms occurrence_of(all_11_0_3, all_591_0_471), occurrence_of(all_11_0_3, tptp2), yields:
% 33.38/9.70  	| (416) all_591_0_471 = tptp2
% 33.38/9.70  	|
% 33.38/9.70  	| Instantiating formula (66) with all_595_0_473, tptp3, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_595_0_473), occurrence_of(all_11_2_5, tptp3), yields:
% 33.38/9.70  	| (417) all_595_0_473 = tptp3
% 33.38/9.70  	|
% 33.38/9.70  	| Combining equations (413,414) yields a new equation:
% 33.38/9.70  	| (418) all_427_0_381 = all_401_0_366
% 33.38/9.70  	|
% 33.38/9.70  	| Simplifying 418 yields:
% 33.38/9.70  	| (419) all_427_0_381 = all_401_0_366
% 33.38/9.70  	|
% 33.38/9.70  	| Combining equations (412,419) yields a new equation:
% 33.38/9.70  	| (420) all_401_0_366 = tptp0
% 33.38/9.70  	|
% 33.38/9.70  	| Combining equations (420,414) yields a new equation:
% 33.38/9.70  	| (421) all_561_0_451 = tptp0
% 33.38/9.70  	|
% 33.38/9.70  	| From (421) and (402) follows:
% 33.38/9.70  	| (89) leaf(all_11_0_3, tptp0)
% 33.38/9.70  	|
% 33.38/9.70  	| From (415) and (399) follows:
% 33.38/9.70  	| (157) occurrence_of(all_69_0_29, tptp0)
% 33.38/9.70  	|
% 33.38/9.70  	| From (416) and (407) follows:
% 33.38/9.70  	| (379) occurrence_of(all_11_0_3, tptp2)
% 33.38/9.70  	|
% 33.38/9.70  	| From (417) and (411) follows:
% 33.38/9.70  	| (86) occurrence_of(all_11_2_5, tptp3)
% 33.38/9.70  	|
% 33.38/9.70  	+-Applying beta-rule and splitting (240), into two cases.
% 33.38/9.70  	|-Branch one:
% 33.38/9.70  	| (368) leaf_occ(all_11_2_5, all_69_0_29)
% 33.38/9.70  	|
% 33.38/9.70  		| Instantiating formula (5) with all_11_1_4, tptp0, all_11_2_5, all_69_0_29 and discharging atoms leaf_occ(all_11_2_5, all_69_0_29), min_precedes(all_11_2_5, all_11_1_4, tptp0), occurrence_of(all_69_0_29, tptp0), yields:
% 33.38/9.70  		| (369) $false
% 33.38/9.70  		|
% 33.38/9.70  		|-The branch is then unsatisfiable
% 33.38/9.70  	|-Branch two:
% 33.38/9.70  	| (370)  ~ leaf_occ(all_11_2_5, all_69_0_29)
% 33.38/9.70  	| (371)  ? [v0] :  ? [v1] :  ? [v2] : (next_subocc(v1, v2, tptp0) & next_subocc(v0, v1, tptp0) & next_subocc(all_11_2_5, v0, tptp0) & leaf(v2, tptp0) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 33.38/9.70  	|
% 33.38/9.70  		+-Applying beta-rule and splitting (327), into two cases.
% 33.38/9.70  		|-Branch one:
% 33.38/9.70  		| (372) min_precedes(all_11_2_5, all_11_0_3, tptp0)
% 33.38/9.70  		|
% 33.38/9.70  			| Instantiating formula (6) 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:
% 33.38/9.70  			| (369) $false
% 33.38/9.70  			|
% 33.38/9.70  			|-The branch is then unsatisfiable
% 33.38/9.70  		|-Branch two:
% 33.38/9.70  		| (374)  ~ min_precedes(all_11_2_5, all_11_0_3, tptp0)
% 33.38/9.70  		| (375) all_11_0_3 = all_11_2_5
% 33.38/9.70  		|
% 33.38/9.70  			| From (375) and (177) follows:
% 33.38/9.70  			| (368) leaf_occ(all_11_2_5, all_69_0_29)
% 33.38/9.70  			|
% 33.38/9.70  			| Using (368) and (370) yields:
% 33.38/9.70  			| (369) $false
% 33.38/9.70  			|
% 33.38/9.70  			|-The branch is then unsatisfiable
% 33.38/9.70  % SZS output end Proof for theBenchmark
% 33.38/9.70  
% 33.38/9.70  9090ms
%------------------------------------------------------------------------------