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ePrincess---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : PRO003+3 : 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 17:43:52 EDT 2022

% Result   : Theorem 6.88s 2.29s
% Output   : Proof 13.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PRO003+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % 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 02:18:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.53/0.58          ____       _                          
% 0.53/0.58    ___  / __ \_____(_)___  ________  __________
% 0.53/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.53/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.53/0.58  
% 0.53/0.58  A Theorem Prover for First-Order Logic
% 0.53/0.58  (ePrincess v.1.0)
% 0.53/0.58  
% 0.53/0.58  (c) Philipp Rümmer, 2009-2015
% 0.53/0.58  (c) Peter Backeman, 2014-2015
% 0.53/0.58  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.58  Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.58  Bug reports to peter@backeman.se
% 0.53/0.58  
% 0.53/0.58  For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.58  
% 0.53/0.59  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.76/0.64  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.87/1.01  Prover 0: Preprocessing ...
% 3.14/1.35  Prover 0: Constructing countermodel ...
% 6.88/2.28  Prover 0: proved (1649ms)
% 6.88/2.29  
% 6.88/2.29  No countermodel exists, formula is valid
% 6.88/2.29  % SZS status Theorem for theBenchmark
% 6.88/2.29  
% 6.88/2.29  Generating proof ... found it (size 100)
% 13.19/3.75  
% 13.19/3.75  % SZS output start Proof for theBenchmark
% 13.19/3.75  Assumed formulas after preprocessing and simplification: 
% 13.19/3.75  | (0)  ? [v0] : ( ~ (tptp1 = tptp2) &  ~ (tptp1 = tptp3) &  ~ (tptp1 = tptp4) &  ~ (tptp2 = tptp3) &  ~ (tptp2 = tptp4) &  ~ (tptp3 = tptp4) & atomic(tptp1) & atomic(tptp2) & atomic(tptp3) & atomic(tptp4) & activity(tptp0) & occurrence_of(v0, tptp0) &  ~ atomic(tptp0) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ leaf_occ(v5, v2) |  ~ root_occ(v4, v2) |  ~ subactivity_occurrence(v3, v2) |  ~ min_precedes(v4, v3, v1) |  ~ occurrence_of(v2, v1) | min_precedes(v3, v5, v1)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v4 = v3 |  ~ leaf_occ(v5, v2) |  ~ root_occ(v4, v2) |  ~ subactivity_occurrence(v3, v2) |  ~ min_precedes(v3, v5, v1) |  ~ occurrence_of(v2, v1) | min_precedes(v4, v3, v1)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = v2 |  ~ subactivity_occurrence(v3, v5) |  ~ subactivity_occurrence(v2, v5) |  ~ next_subocc(v1, v3, v4) |  ~ next_subocc(v1, v2, v4) |  ~ occurrence_of(v5, v4)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ leaf_occ(v4, v2) |  ~ subactivity_occurrence(v3, v2) |  ~ arboreal(v3) |  ~ occurrence_of(v2, v1) | min_precedes(v3, v4, v1)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ root_occ(v4, v2) |  ~ subactivity_occurrence(v3, v2) |  ~ arboreal(v3) |  ~ occurrence_of(v2, v1) | min_precedes(v4, v3, v1)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ subactivity_occurrence(v4, v2) |  ~ subactivity_occurrence(v3, v2) |  ~ arboreal(v4) |  ~ arboreal(v3) |  ~ occurrence_of(v2, v1) | min_precedes(v4, v3, v1) | min_precedes(v3, v4, v1)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ leaf_occ(v2, v1) |  ~ root_occ(v3, v1) |  ~ occurrence_of(v1, v4) | min_precedes(v3, v2, v4)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ next_subocc(v3, v1, v4) |  ~ next_subocc(v2, v1, v4)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ leaf_occ(v2, v3) |  ~ leaf_occ(v1, v3) |  ~ occurrence_of(v3, v4) | atomic(v4)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ root_occ(v2, v3) |  ~ root_occ(v1, v3) |  ~ occurrence_of(v3, v4)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ leaf_occ(v2, v1) |  ~ min_precedes(v2, v4, v3) |  ~ occurrence_of(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ root_occ(v2, v1) |  ~ min_precedes(v4, v2, v3) |  ~ occurrence_of(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ subactivity_occurrence(v3, v4) |  ~ occurrence_of(v4, v2) |  ~ occurrence_of(v3, v1) | atomic(v1) | subactivity(v1, v2)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ subactivity_occurrence(v2, v4) |  ~ min_precedes(v1, v2, v3) |  ~ occurrence_of(v4, v3) | subactivity_occurrence(v1, v4)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ next_subocc(v1, v2, v3) |  ~ min_precedes(v4, v2, v3) |  ~ min_precedes(v1, v4, v3)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ min_precedes(v3, v1, v4) |  ~ min_precedes(v2, v1, v4) |  ~ precedes(v2, v3) | min_precedes(v2, v3, v4)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ min_precedes(v1, v3, v4) |  ~ min_precedes(v1, v2, v4) |  ~ precedes(v2, v3) | min_precedes(v2, v3, v4)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ subactivity(v1, v2) |  ~ occurrence_of(v4, v2) |  ~ occurrence_of(v3, v1) | subactivity_occurrence(v3, v4) |  ? [v5] : (subactivity_occurrence(v5, v4) &  ~ subactivity_occurrence(v5, v3))) &  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ occurrence_of(v1, v3) |  ~ occurrence_of(v1, v2)) &  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ earlier(v3, v2) |  ~ earlier(v1, v2) | earlier(v3, v1) | earlier(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity_occurrence(v2, v3) |  ~ subactivity_occurrence(v1, v2) | subactivity_occurrence(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity_occurrence(v1, v2) |  ~ leaf(v1, v3) |  ~ occurrence_of(v2, v3) | leaf_occ(v1, v2)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity_occurrence(v1, v2) |  ~ root(v1, v3) |  ~ occurrence_of(v2, v3) | root_occ(v1, v2)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ next_subocc(v1, v2, v3) | min_precedes(v1, v2, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ next_subocc(v1, v2, v3) | arboreal(v2)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ next_subocc(v1, v2, v3) | arboreal(v1)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ leaf(v1, v2) |  ~ min_precedes(v1, v3, v2)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ root(v2, v3) |  ~ min_precedes(v1, v2, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v3, v1, v2) | leaf(v1, v2) |  ? [v4] : min_precedes(v1, v4, v2)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v2, v3, v1) |  ? [v4] :  ? [v5] : (atocc(v3, v5) & atocc(v2, v4) & subactivity(v5, v1) & subactivity(v4, v1))) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v2, v3, v1) |  ? [v4] : (subactivity_occurrence(v3, v4) & subactivity_occurrence(v2, v4) & occurrence_of(v4, v1))) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v1, v2, v3) |  ~ atomic(v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v1, v2, v3) | next_subocc(v1, v2, v3) |  ? [v4] : (min_precedes(v4, v2, v3) & min_precedes(v1, v4, v3))) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v1, v2, v3) | precedes(v1, v2)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v1, v2, v3) | arboreal(v1)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v1, v2, v3) |  ? [v4] : (root(v4, v3) & min_precedes(v4, v2, v3))) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ atomic(v3) |  ~ subactivity(v2, v3) |  ~ occurrence_of(v1, v3) | atocc(v1, v2)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ earlier(v2, v3) |  ~ earlier(v1, v2) | earlier(v1, v3)) &  ! [v1] :  ! [v2] : ( ~ leaf_occ(v1, v2) |  ? [v3] : (subactivity_occurrence(v1, v2) & leaf(v1, v3) & occurrence_of(v2, v3))) &  ! [v1] :  ! [v2] : ( ~ root_occ(v1, v2) |  ~ occurrence_of(v2, tptp0) |  ? [v3] : (next_subocc(v1, v3, tptp0) & occurrence_of(v3, tptp1))) &  ! [v1] :  ! [v2] : ( ~ root_occ(v1, v2) |  ? [v3] : (subactivity_occurrence(v1, v2) & root(v1, v3) & occurrence_of(v2, v3))) &  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v1, v2) | activity_occurrence(v2)) &  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v1, v2) | activity_occurrence(v1)) &  ! [v1] :  ! [v2] : ( ~ leaf(v1, v2) | root(v1, v2) |  ? [v3] : min_precedes(v3, v1, v2)) &  ! [v1] :  ! [v2] : ( ~ leaf(v1, v2) | atomic(v2) |  ? [v3] : (leaf_occ(v1, v3) & occurrence_of(v3, v2))) &  ! [v1] :  ! [v2] : ( ~ root(v2, v1) | atomic(v1) |  ? [v3] : (subactivity_occurrence(v2, v3) & occurrence_of(v3, v1))) &  ! [v1] :  ! [v2] : ( ~ root(v2, v1) |  ? [v3] : (atocc(v2, v3) & subactivity(v3, v1))) &  ! [v1] :  ! [v2] : ( ~ root(v1, v2) | leaf(v1, v2) |  ? [v3] : min_precedes(v1, v3, v2)) &  ! [v1] :  ! [v2] : ( ~ root(v1, v2) | legal(v1)) &  ! [v1] :  ! [v2] : ( ~ atocc(v1, v2) |  ~ legal(v1) | root(v1, v2)) &  ! [v1] :  ! [v2] : ( ~ atocc(v1, v2) |  ? [v3] : (atomic(v3) & subactivity(v2, v3) & occurrence_of(v1, v3))) &  ! [v1] :  ! [v2] : ( ~ precedes(v1, v2) | legal(v2)) &  ! [v1] :  ! [v2] : ( ~ precedes(v1, v2) | earlier(v1, v2)) &  ! [v1] :  ! [v2] : ( ~ legal(v2) |  ~ earlier(v1, v2) | precedes(v1, v2)) &  ! [v1] :  ! [v2] : ( ~ legal(v1) |  ~ earlier(v2, v1) | legal(v2)) &  ! [v1] :  ! [v2] : ( ~ atomic(v2) |  ~ occurrence_of(v1, v2) | arboreal(v1)) &  ! [v1] :  ! [v2] : ( ~ arboreal(v1) |  ~ occurrence_of(v1, v2) | atomic(v2)) &  ! [v1] :  ! [v2] : ( ~ earlier(v2, v1) |  ~ earlier(v1, v2)) &  ! [v1] :  ! [v2] : ( ~ occurrence_of(v2, v1) | atomic(v1) |  ? [v3] : (subactivity_occurrence(v3, v2) & root(v3, v1))) &  ! [v1] :  ! [v2] : ( ~ occurrence_of(v2, v1) | activity_occurrence(v2)) &  ! [v1] :  ! [v2] : ( ~ occurrence_of(v2, v1) | activity(v1)) &  ! [v1] : ( ~ legal(v1) | arboreal(v1)) &  ! [v1] : ( ~ activity_occurrence(v1) |  ? [v2] : (activity(v2) & occurrence_of(v1, v2))) &  ! [v1] : ( ~ activity(v1) | subactivity(v1, v1)) &  ! [v1] : ( ~ occurrence_of(v1, tptp0) |  ? [v2] :  ? [v3] : (leaf_occ(v3, v1) & root_occ(v2, v1) & next_subocc(v2, v3, tptp0) & occurrence_of(v3, tptp3) & occurrence_of(v2, tptp4))))
% 13.43/3.78  | Instantiating (0) with all_0_0_0 yields:
% 13.43/3.78  | (1)  ~ (tptp1 = tptp2) &  ~ (tptp1 = tptp3) &  ~ (tptp1 = tptp4) &  ~ (tptp2 = tptp3) &  ~ (tptp2 = tptp4) &  ~ (tptp3 = tptp4) & atomic(tptp1) & atomic(tptp2) & atomic(tptp3) & atomic(tptp4) & activity(tptp0) & occurrence_of(all_0_0_0, tptp0) &  ~ 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) |  ~ occurrence_of(v1, tptp0) |  ? [v2] : (next_subocc(v0, v2, tptp0) & occurrence_of(v2, tptp1))) &  ! [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] : ( ~ 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)) &  ! [v0] : ( ~ occurrence_of(v0, tptp0) |  ? [v1] :  ? [v2] : (leaf_occ(v2, v0) & root_occ(v1, v0) & next_subocc(v1, v2, tptp0) & occurrence_of(v2, tptp3) & occurrence_of(v1, tptp4)))
% 13.43/3.80  |
% 13.43/3.80  | Applying alpha-rule on (1) yields:
% 13.43/3.80  | (2) atomic(tptp2)
% 13.43/3.80  | (3)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v1, v2) |  ~ subactivity_occurrence(v0, v1) | subactivity_occurrence(v0, v2))
% 13.43/3.80  | (4)  ~ (tptp1 = tptp3)
% 13.43/3.80  | (5)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1))
% 13.43/3.80  | (6)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ leaf(v0, v1) |  ~ min_precedes(v0, v2, v1))
% 13.43/3.80  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ leaf_occ(v1, v0) |  ~ min_precedes(v1, v3, v2) |  ~ occurrence_of(v0, v2))
% 13.43/3.80  | (8) occurrence_of(all_0_0_0, tptp0)
% 13.43/3.80  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ next_subocc(v0, v1, v2) |  ~ min_precedes(v3, v1, v2) |  ~ min_precedes(v0, v3, v2))
% 13.43/3.80  | (10) atomic(tptp4)
% 13.43/3.80  | (11)  ! [v0] :  ! [v1] : ( ~ root(v1, v0) | atomic(v0) |  ? [v2] : (subactivity_occurrence(v1, v2) & occurrence_of(v2, v0)))
% 13.43/3.80  | (12)  ! [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))
% 13.43/3.80  | (13)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ earlier(v2, v1) |  ~ earlier(v0, v1) | earlier(v2, v0) | earlier(v0, v2))
% 13.43/3.80  | (14)  ! [v0] : ( ~ occurrence_of(v0, tptp0) |  ? [v1] :  ? [v2] : (leaf_occ(v2, v0) & root_occ(v1, v0) & next_subocc(v1, v2, tptp0) & occurrence_of(v2, tptp3) & occurrence_of(v1, tptp4)))
% 13.43/3.80  | (15)  ~ atomic(tptp0)
% 13.43/3.80  | (16)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2))
% 13.43/3.80  | (17)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity_occurrence(v1, v3) |  ~ min_precedes(v0, v1, v2) |  ~ occurrence_of(v3, v2) | subactivity_occurrence(v0, v3))
% 13.43/3.80  | (18)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ earlier(v1, v2) |  ~ earlier(v0, v1) | earlier(v0, v2))
% 13.43/3.80  | (19)  ! [v0] :  ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) |  ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1)))
% 13.43/3.80  | (20)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v0, v1) |  ~ root(v0, v2) |  ~ occurrence_of(v1, v2) | root_occ(v0, v1))
% 13.43/3.80  | (21)  ! [v0] :  ! [v1] : ( ~ atocc(v0, v1) |  ? [v2] : (atomic(v2) & subactivity(v1, v2) & occurrence_of(v0, v2)))
% 13.43/3.80  | (22)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ root_occ(v1, v0) |  ~ min_precedes(v3, v1, v2) |  ~ occurrence_of(v0, v2))
% 13.43/3.80  | (23)  ! [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))
% 13.43/3.80  | (24)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v1, v2, v0) |  ? [v3] :  ? [v4] : (atocc(v2, v4) & atocc(v1, v3) & subactivity(v4, v0) & subactivity(v3, v0)))
% 13.43/3.80  | (25)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ root(v1, v2) |  ~ min_precedes(v0, v1, v2))
% 13.43/3.80  | (26)  ! [v0] :  ! [v1] : ( ~ root_occ(v0, v1) |  ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2)))
% 13.43/3.80  | (27)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1))
% 13.43/3.80  | (28)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) |  ? [v3] : (root(v3, v2) & min_precedes(v3, v1, v2)))
% 13.43/3.80  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v0, v2, v3) |  ~ min_precedes(v0, v1, v3) |  ~ precedes(v1, v2) | min_precedes(v1, v2, v3))
% 13.43/3.80  | (30)  ! [v0] :  ! [v1] : ( ~ precedes(v0, v1) | legal(v1))
% 13.43/3.80  | (31)  ! [v0] :  ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) |  ? [v2] : min_precedes(v0, v2, v1))
% 13.43/3.80  | (32)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ atomic(v2) |  ~ subactivity(v1, v2) |  ~ occurrence_of(v0, v2) | atocc(v0, v1))
% 13.43/3.80  | (33)  ! [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))
% 13.43/3.80  | (34) atomic(tptp1)
% 13.43/3.80  | (35)  ! [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)))
% 13.43/3.81  | (36) atomic(tptp3)
% 13.43/3.81  | (37)  ! [v0] :  ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1))
% 13.43/3.81  | (38)  ! [v0] : ( ~ activity_occurrence(v0) |  ? [v1] : (activity(v1) & occurrence_of(v0, v1)))
% 13.43/3.81  | (39)  ! [v0] :  ! [v1] : ( ~ atomic(v1) |  ~ occurrence_of(v0, v1) | arboreal(v0))
% 13.43/3.81  | (40)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subactivity_occurrence(v0, v1) |  ~ leaf(v0, v2) |  ~ occurrence_of(v1, v2) | leaf_occ(v0, v1))
% 13.43/3.81  | (41)  ~ (tptp1 = tptp4)
% 13.43/3.81  | (42)  ! [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))
% 13.43/3.81  | (43)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ leaf_occ(v1, v0) |  ~ root_occ(v2, v0) |  ~ occurrence_of(v0, v3) | min_precedes(v2, v1, v3))
% 13.43/3.81  | (44)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) |  ~ atomic(v2))
% 13.43/3.81  | (45)  ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 13.43/3.81  | (46)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0))
% 13.43/3.81  | (47)  ! [v0] :  ! [v1] : ( ~ legal(v1) |  ~ earlier(v0, v1) | precedes(v0, v1))
% 13.43/3.81  | (48)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) |  ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2)))
% 13.43/3.81  | (49)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v0, v1, v2) | arboreal(v0))
% 13.43/3.81  | (50)  ! [v0] :  ! [v1] : ( ~ root(v1, v0) |  ? [v2] : (atocc(v1, v2) & subactivity(v2, v0)))
% 13.43/3.81  | (51)  ! [v0] :  ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0))
% 13.43/3.81  | (52)  ! [v0] :  ! [v1] : ( ~ earlier(v1, v0) |  ~ earlier(v0, v1))
% 13.43/3.81  | (53) activity(tptp0)
% 13.43/3.81  | (54)  ! [v0] :  ! [v1] : ( ~ root(v0, v1) | legal(v0))
% 13.43/3.81  | (55)  ! [v0] :  ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) |  ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0)))
% 13.43/3.81  | (56)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ root_occ(v1, v2) |  ~ root_occ(v0, v2) |  ~ occurrence_of(v2, v3))
% 13.43/3.81  | (57)  ! [v0] :  ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) |  ? [v2] : min_precedes(v2, v0, v1))
% 13.43/3.81  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ next_subocc(v2, v0, v3) |  ~ next_subocc(v1, v0, v3))
% 13.43/3.81  | (59)  ~ (tptp1 = tptp2)
% 13.43/3.81  | (60)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v1, v2, v0) |  ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0)))
% 13.43/3.81  | (61)  ~ (tptp2 = tptp4)
% 13.43/3.81  | (62)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) |  ? [v3] : min_precedes(v0, v3, v1))
% 13.43/3.81  | (63)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ occurrence_of(v0, v2) |  ~ occurrence_of(v0, v1))
% 13.43/3.81  | (64)  ! [v0] :  ! [v1] : ( ~ atocc(v0, v1) |  ~ legal(v0) | root(v0, v1))
% 13.43/3.81  | (65)  ! [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))
% 13.43/3.81  | (66)  ! [v0] :  ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1))
% 13.43/3.81  | (67)  ! [v0] :  ! [v1] : ( ~ root_occ(v0, v1) |  ~ occurrence_of(v1, tptp0) |  ? [v2] : (next_subocc(v0, v2, tptp0) & occurrence_of(v2, tptp1)))
% 13.43/3.81  | (68)  ~ (tptp2 = tptp3)
% 13.43/3.81  | (69)  ! [v0] :  ! [v1] : ( ~ legal(v0) |  ~ earlier(v1, v0) | legal(v1))
% 13.43/3.81  | (70)  ! [v0] :  ! [v1] : ( ~ leaf_occ(v0, v1) |  ? [v2] : (subactivity_occurrence(v0, v1) & leaf(v0, v2) & occurrence_of(v1, v2)))
% 13.43/3.81  | (71)  ! [v0] :  ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1))
% 13.43/3.81  | (72)  ! [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))
% 13.43/3.81  | (73)  ! [v0] : ( ~ activity(v0) | subactivity(v0, v0))
% 13.43/3.81  | (74)  ~ (tptp3 = tptp4)
% 13.43/3.81  | (75)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ min_precedes(v2, v0, v3) |  ~ min_precedes(v1, v0, v3) |  ~ precedes(v1, v2) | min_precedes(v1, v2, v3))
% 13.43/3.82  | (76)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ subactivity_occurrence(v2, v3) |  ~ occurrence_of(v3, v1) |  ~ occurrence_of(v2, v0) | atomic(v0) | subactivity(v0, v1))
% 13.43/3.82  | (77)  ! [v0] :  ! [v1] : ( ~ arboreal(v0) |  ~ occurrence_of(v0, v1) | atomic(v1))
% 13.43/3.82  | (78)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ leaf_occ(v1, v2) |  ~ leaf_occ(v0, v2) |  ~ occurrence_of(v2, v3) | atomic(v3))
% 13.43/3.82  | (79)  ! [v0] :  ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0))
% 13.43/3.82  |
% 13.43/3.82  | Instantiating formula (14) with all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, tptp0), yields:
% 13.43/3.82  | (80)  ? [v0] :  ? [v1] : (leaf_occ(v1, all_0_0_0) & root_occ(v0, all_0_0_0) & next_subocc(v0, v1, tptp0) & occurrence_of(v1, tptp3) & occurrence_of(v0, tptp4))
% 13.43/3.82  |
% 13.43/3.82  | Instantiating formula (55) with all_0_0_0, tptp0 and discharging atoms occurrence_of(all_0_0_0, tptp0),  ~ atomic(tptp0), yields:
% 13.43/3.82  | (81)  ? [v0] : (subactivity_occurrence(v0, all_0_0_0) & root(v0, tptp0))
% 13.43/3.82  |
% 13.43/3.82  | Instantiating formula (66) with all_0_0_0, tptp0 and discharging atoms occurrence_of(all_0_0_0, tptp0), yields:
% 13.43/3.82  | (82) activity_occurrence(all_0_0_0)
% 13.43/3.82  |
% 13.43/3.82  | Instantiating (81) with all_9_0_1 yields:
% 13.43/3.82  | (83) subactivity_occurrence(all_9_0_1, all_0_0_0) & root(all_9_0_1, tptp0)
% 13.43/3.82  |
% 13.43/3.82  | Applying alpha-rule on (83) yields:
% 13.43/3.82  | (84) subactivity_occurrence(all_9_0_1, all_0_0_0)
% 13.43/3.82  | (85) root(all_9_0_1, tptp0)
% 13.43/3.82  |
% 13.43/3.82  | Instantiating (80) with all_11_0_2, all_11_1_3 yields:
% 13.43/3.82  | (86) leaf_occ(all_11_0_2, all_0_0_0) & root_occ(all_11_1_3, all_0_0_0) & next_subocc(all_11_1_3, all_11_0_2, tptp0) & occurrence_of(all_11_0_2, tptp3) & occurrence_of(all_11_1_3, tptp4)
% 13.43/3.82  |
% 13.43/3.82  | Applying alpha-rule on (86) yields:
% 13.43/3.82  | (87) root_occ(all_11_1_3, all_0_0_0)
% 13.43/3.82  | (88) next_subocc(all_11_1_3, all_11_0_2, tptp0)
% 13.43/3.82  | (89) occurrence_of(all_11_0_2, tptp3)
% 13.43/3.82  | (90) leaf_occ(all_11_0_2, all_0_0_0)
% 13.43/3.82  | (91) occurrence_of(all_11_1_3, tptp4)
% 13.43/3.82  |
% 13.43/3.82  | Instantiating formula (67) with all_0_0_0, all_11_1_3 and discharging atoms root_occ(all_11_1_3, all_0_0_0), occurrence_of(all_0_0_0, tptp0), yields:
% 13.43/3.82  | (92)  ? [v0] : (next_subocc(all_11_1_3, v0, tptp0) & occurrence_of(v0, tptp1))
% 13.43/3.82  |
% 13.43/3.82  | Instantiating formula (26) with all_0_0_0, all_11_1_3 and discharging atoms root_occ(all_11_1_3, all_0_0_0), yields:
% 13.43/3.82  | (93)  ? [v0] : (subactivity_occurrence(all_11_1_3, all_0_0_0) & root(all_11_1_3, v0) & occurrence_of(all_0_0_0, v0))
% 13.43/3.82  |
% 13.43/3.82  | Instantiating formula (20) with tptp0, all_0_0_0, all_9_0_1 and discharging atoms subactivity_occurrence(all_9_0_1, all_0_0_0), root(all_9_0_1, tptp0), occurrence_of(all_0_0_0, tptp0), yields:
% 13.43/3.82  | (94) root_occ(all_9_0_1, all_0_0_0)
% 13.43/3.82  |
% 13.43/3.82  | Instantiating formula (11) with all_9_0_1, tptp0 and discharging atoms root(all_9_0_1, tptp0),  ~ atomic(tptp0), yields:
% 13.43/3.82  | (95)  ? [v0] : (subactivity_occurrence(all_9_0_1, v0) & occurrence_of(v0, tptp0))
% 13.43/3.82  |
% 13.43/3.82  | Instantiating formula (38) with all_0_0_0 and discharging atoms activity_occurrence(all_0_0_0), yields:
% 13.43/3.82  | (96)  ? [v0] : (activity(v0) & occurrence_of(all_0_0_0, v0))
% 13.43/3.82  |
% 13.43/3.82  | Instantiating (96) with all_19_0_4 yields:
% 13.43/3.82  | (97) activity(all_19_0_4) & occurrence_of(all_0_0_0, all_19_0_4)
% 13.43/3.82  |
% 13.43/3.82  | Applying alpha-rule on (97) yields:
% 13.43/3.82  | (98) activity(all_19_0_4)
% 13.43/3.82  | (99) occurrence_of(all_0_0_0, all_19_0_4)
% 13.43/3.82  |
% 13.43/3.82  | Instantiating (95) with all_21_0_5 yields:
% 13.43/3.82  | (100) subactivity_occurrence(all_9_0_1, all_21_0_5) & occurrence_of(all_21_0_5, tptp0)
% 13.43/3.82  |
% 13.43/3.82  | Applying alpha-rule on (100) yields:
% 13.43/3.82  | (101) subactivity_occurrence(all_9_0_1, all_21_0_5)
% 13.43/3.82  | (102) occurrence_of(all_21_0_5, tptp0)
% 13.43/3.82  |
% 13.43/3.82  | Instantiating (93) with all_25_0_7 yields:
% 13.43/3.82  | (103) subactivity_occurrence(all_11_1_3, all_0_0_0) & root(all_11_1_3, all_25_0_7) & occurrence_of(all_0_0_0, all_25_0_7)
% 13.43/3.82  |
% 13.43/3.82  | Applying alpha-rule on (103) yields:
% 13.43/3.82  | (104) subactivity_occurrence(all_11_1_3, all_0_0_0)
% 13.43/3.82  | (105) root(all_11_1_3, all_25_0_7)
% 13.43/3.82  | (106) occurrence_of(all_0_0_0, all_25_0_7)
% 13.43/3.82  |
% 13.43/3.82  | Instantiating (92) with all_27_0_8 yields:
% 13.43/3.82  | (107) next_subocc(all_11_1_3, all_27_0_8, tptp0) & occurrence_of(all_27_0_8, tptp1)
% 13.43/3.82  |
% 13.43/3.82  | Applying alpha-rule on (107) yields:
% 13.43/3.82  | (108) next_subocc(all_11_1_3, all_27_0_8, tptp0)
% 13.43/3.82  | (109) occurrence_of(all_27_0_8, tptp1)
% 13.43/3.82  |
% 13.43/3.82  | Instantiating formula (63) with all_25_0_7, tptp0, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_25_0_7), occurrence_of(all_0_0_0, tptp0), yields:
% 13.43/3.82  | (110) all_25_0_7 = tptp0
% 13.43/3.82  |
% 13.43/3.82  | Instantiating formula (56) with all_19_0_4, all_0_0_0, all_11_1_3, all_9_0_1 and discharging atoms root_occ(all_11_1_3, all_0_0_0), root_occ(all_9_0_1, all_0_0_0), occurrence_of(all_0_0_0, all_19_0_4), yields:
% 13.43/3.82  | (111) all_11_1_3 = all_9_0_1
% 13.43/3.82  |
% 13.43/3.82  | From (111) and (108) follows:
% 13.43/3.83  | (112) next_subocc(all_9_0_1, all_27_0_8, tptp0)
% 13.43/3.83  |
% 13.43/3.83  | From (111)(110) and (105) follows:
% 13.43/3.83  | (85) root(all_9_0_1, tptp0)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (16) with tptp0, all_27_0_8, all_9_0_1 and discharging atoms next_subocc(all_9_0_1, all_27_0_8, tptp0), yields:
% 13.43/3.83  | (114) min_precedes(all_9_0_1, all_27_0_8, tptp0)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (66) with all_27_0_8, tptp1 and discharging atoms occurrence_of(all_27_0_8, tptp1), yields:
% 13.43/3.83  | (115) activity_occurrence(all_27_0_8)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (79) with all_27_0_8, tptp1 and discharging atoms occurrence_of(all_27_0_8, tptp1), yields:
% 13.43/3.83  | (116) activity(tptp1)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (20) with tptp0, all_21_0_5, all_9_0_1 and discharging atoms subactivity_occurrence(all_9_0_1, all_21_0_5), root(all_9_0_1, tptp0), occurrence_of(all_21_0_5, tptp0), yields:
% 13.43/3.83  | (117) root_occ(all_9_0_1, all_21_0_5)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (14) with all_21_0_5 and discharging atoms occurrence_of(all_21_0_5, tptp0), yields:
% 13.43/3.83  | (118)  ? [v0] :  ? [v1] : (leaf_occ(v1, all_21_0_5) & root_occ(v0, all_21_0_5) & next_subocc(v0, v1, tptp0) & occurrence_of(v1, tptp3) & occurrence_of(v0, tptp4))
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (66) with all_21_0_5, tptp0 and discharging atoms occurrence_of(all_21_0_5, tptp0), yields:
% 13.43/3.83  | (119) activity_occurrence(all_21_0_5)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating (118) with all_59_0_20, all_59_1_21 yields:
% 13.43/3.83  | (120) leaf_occ(all_59_0_20, all_21_0_5) & root_occ(all_59_1_21, all_21_0_5) & next_subocc(all_59_1_21, all_59_0_20, tptp0) & occurrence_of(all_59_0_20, tptp3) & occurrence_of(all_59_1_21, tptp4)
% 13.43/3.83  |
% 13.43/3.83  | Applying alpha-rule on (120) yields:
% 13.43/3.83  | (121) occurrence_of(all_59_1_21, tptp4)
% 13.43/3.83  | (122) occurrence_of(all_59_0_20, tptp3)
% 13.43/3.83  | (123) next_subocc(all_59_1_21, all_59_0_20, tptp0)
% 13.43/3.83  | (124) leaf_occ(all_59_0_20, all_21_0_5)
% 13.43/3.83  | (125) root_occ(all_59_1_21, all_21_0_5)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (56) with tptp0, all_21_0_5, all_9_0_1, all_59_1_21 and discharging atoms root_occ(all_59_1_21, all_21_0_5), root_occ(all_9_0_1, all_21_0_5), occurrence_of(all_21_0_5, tptp0), yields:
% 13.43/3.83  | (126) all_59_1_21 = all_9_0_1
% 13.43/3.83  |
% 13.43/3.83  | From (126) and (125) follows:
% 13.43/3.83  | (117) root_occ(all_9_0_1, all_21_0_5)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (70) with all_21_0_5, all_59_0_20 and discharging atoms leaf_occ(all_59_0_20, all_21_0_5), yields:
% 13.43/3.83  | (128)  ? [v0] : (subactivity_occurrence(all_59_0_20, all_21_0_5) & leaf(all_59_0_20, v0) & occurrence_of(all_21_0_5, v0))
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (26) with all_21_0_5, all_9_0_1 and discharging atoms root_occ(all_9_0_1, all_21_0_5), yields:
% 13.43/3.83  | (129)  ? [v0] : (subactivity_occurrence(all_9_0_1, all_21_0_5) & root(all_9_0_1, v0) & occurrence_of(all_21_0_5, v0))
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (24) with all_27_0_8, all_9_0_1, tptp0 and discharging atoms min_precedes(all_9_0_1, all_27_0_8, tptp0), yields:
% 13.43/3.83  | (130)  ? [v0] :  ? [v1] : (atocc(all_27_0_8, v1) & atocc(all_9_0_1, v0) & subactivity(v1, tptp0) & subactivity(v0, tptp0))
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (60) with all_27_0_8, all_9_0_1, tptp0 and discharging atoms min_precedes(all_9_0_1, all_27_0_8, tptp0), yields:
% 13.43/3.83  | (131)  ? [v0] : (subactivity_occurrence(all_27_0_8, v0) & subactivity_occurrence(all_9_0_1, v0) & occurrence_of(v0, tptp0))
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (28) with tptp0, all_27_0_8, all_9_0_1 and discharging atoms min_precedes(all_9_0_1, all_27_0_8, tptp0), yields:
% 13.43/3.83  | (132)  ? [v0] : (root(v0, tptp0) & min_precedes(v0, all_27_0_8, tptp0))
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (38) with all_27_0_8 and discharging atoms activity_occurrence(all_27_0_8), yields:
% 13.43/3.83  | (133)  ? [v0] : (activity(v0) & occurrence_of(all_27_0_8, v0))
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (38) with all_21_0_5 and discharging atoms activity_occurrence(all_21_0_5), yields:
% 13.43/3.83  | (134)  ? [v0] : (activity(v0) & occurrence_of(all_21_0_5, v0))
% 13.43/3.83  |
% 13.43/3.83  | Instantiating formula (73) with tptp1 and discharging atoms activity(tptp1), yields:
% 13.43/3.83  | (135) subactivity(tptp1, tptp1)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating (131) with all_73_0_23 yields:
% 13.43/3.83  | (136) subactivity_occurrence(all_27_0_8, all_73_0_23) & subactivity_occurrence(all_9_0_1, all_73_0_23) & occurrence_of(all_73_0_23, tptp0)
% 13.43/3.83  |
% 13.43/3.83  | Applying alpha-rule on (136) yields:
% 13.43/3.83  | (137) subactivity_occurrence(all_27_0_8, all_73_0_23)
% 13.43/3.83  | (138) subactivity_occurrence(all_9_0_1, all_73_0_23)
% 13.43/3.83  | (139) occurrence_of(all_73_0_23, tptp0)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating (130) with all_75_0_24, all_75_1_25 yields:
% 13.43/3.83  | (140) atocc(all_27_0_8, all_75_0_24) & atocc(all_9_0_1, all_75_1_25) & subactivity(all_75_0_24, tptp0) & subactivity(all_75_1_25, tptp0)
% 13.43/3.83  |
% 13.43/3.83  | Applying alpha-rule on (140) yields:
% 13.43/3.83  | (141) atocc(all_27_0_8, all_75_0_24)
% 13.43/3.83  | (142) atocc(all_9_0_1, all_75_1_25)
% 13.43/3.83  | (143) subactivity(all_75_0_24, tptp0)
% 13.43/3.83  | (144) subactivity(all_75_1_25, tptp0)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating (132) with all_79_0_27 yields:
% 13.43/3.83  | (145) root(all_79_0_27, tptp0) & min_precedes(all_79_0_27, all_27_0_8, tptp0)
% 13.43/3.83  |
% 13.43/3.83  | Applying alpha-rule on (145) yields:
% 13.43/3.83  | (146) root(all_79_0_27, tptp0)
% 13.43/3.83  | (147) min_precedes(all_79_0_27, all_27_0_8, tptp0)
% 13.43/3.83  |
% 13.43/3.83  | Instantiating (129) with all_91_0_34 yields:
% 13.43/3.83  | (148) subactivity_occurrence(all_9_0_1, all_21_0_5) & root(all_9_0_1, all_91_0_34) & occurrence_of(all_21_0_5, all_91_0_34)
% 13.43/3.84  |
% 13.43/3.84  | Applying alpha-rule on (148) yields:
% 13.43/3.84  | (101) subactivity_occurrence(all_9_0_1, all_21_0_5)
% 13.43/3.84  | (150) root(all_9_0_1, all_91_0_34)
% 13.43/3.84  | (151) occurrence_of(all_21_0_5, all_91_0_34)
% 13.43/3.84  |
% 13.43/3.84  | Instantiating (128) with all_95_0_36 yields:
% 13.43/3.84  | (152) subactivity_occurrence(all_59_0_20, all_21_0_5) & leaf(all_59_0_20, all_95_0_36) & occurrence_of(all_21_0_5, all_95_0_36)
% 13.43/3.84  |
% 13.43/3.84  | Applying alpha-rule on (152) yields:
% 13.43/3.84  | (153) subactivity_occurrence(all_59_0_20, all_21_0_5)
% 13.43/3.84  | (154) leaf(all_59_0_20, all_95_0_36)
% 13.43/3.84  | (155) occurrence_of(all_21_0_5, all_95_0_36)
% 13.43/3.84  |
% 13.43/3.84  | Instantiating (134) with all_99_0_38 yields:
% 13.43/3.84  | (156) activity(all_99_0_38) & occurrence_of(all_21_0_5, all_99_0_38)
% 13.43/3.84  |
% 13.43/3.84  | Applying alpha-rule on (156) yields:
% 13.43/3.84  | (157) activity(all_99_0_38)
% 13.43/3.84  | (158) occurrence_of(all_21_0_5, all_99_0_38)
% 13.43/3.84  |
% 13.43/3.84  | Instantiating (133) with all_103_0_41 yields:
% 13.43/3.84  | (159) activity(all_103_0_41) & occurrence_of(all_27_0_8, all_103_0_41)
% 13.43/3.84  |
% 13.43/3.84  | Applying alpha-rule on (159) yields:
% 13.43/3.84  | (160) activity(all_103_0_41)
% 13.43/3.84  | (161) occurrence_of(all_27_0_8, all_103_0_41)
% 13.43/3.84  |
% 13.43/3.84  | Instantiating formula (63) with all_103_0_41, tptp1, all_27_0_8 and discharging atoms occurrence_of(all_27_0_8, all_103_0_41), occurrence_of(all_27_0_8, tptp1), yields:
% 13.43/3.84  | (162) all_103_0_41 = tptp1
% 13.43/3.84  |
% 13.43/3.84  | Instantiating formula (63) with all_99_0_38, tptp0, all_21_0_5 and discharging atoms occurrence_of(all_21_0_5, all_99_0_38), occurrence_of(all_21_0_5, tptp0), yields:
% 13.43/3.84  | (163) all_99_0_38 = tptp0
% 13.43/3.84  |
% 13.43/3.84  | Instantiating formula (63) with all_95_0_36, all_99_0_38, all_21_0_5 and discharging atoms occurrence_of(all_21_0_5, all_99_0_38), occurrence_of(all_21_0_5, all_95_0_36), yields:
% 13.43/3.84  | (164) all_99_0_38 = all_95_0_36
% 13.43/3.84  |
% 13.43/3.84  | Instantiating formula (63) with all_91_0_34, all_99_0_38, all_21_0_5 and discharging atoms occurrence_of(all_21_0_5, all_99_0_38), occurrence_of(all_21_0_5, all_91_0_34), yields:
% 13.43/3.84  | (165) all_99_0_38 = all_91_0_34
% 13.43/3.84  |
% 13.43/3.84  | Combining equations (165,164) yields a new equation:
% 13.43/3.84  | (166) all_95_0_36 = all_91_0_34
% 13.43/3.84  |
% 13.43/3.84  | Combining equations (163,164) yields a new equation:
% 13.43/3.84  | (167) all_95_0_36 = tptp0
% 13.43/3.84  |
% 13.43/3.84  | Combining equations (167,166) yields a new equation:
% 13.43/3.84  | (168) all_91_0_34 = tptp0
% 13.43/3.84  |
% 13.43/3.84  | From (168) and (150) follows:
% 13.43/3.84  | (85) root(all_9_0_1, tptp0)
% 13.43/3.84  |
% 13.43/3.84  | From (162) and (161) follows:
% 13.43/3.84  | (109) occurrence_of(all_27_0_8, tptp1)
% 13.43/3.84  |
% 13.43/3.84  | Instantiating formula (21) with all_75_0_24, all_27_0_8 and discharging atoms atocc(all_27_0_8, all_75_0_24), yields:
% 13.43/3.84  | (171)  ? [v0] : (atomic(v0) & subactivity(all_75_0_24, v0) & occurrence_of(all_27_0_8, v0))
% 13.43/3.84  |
% 13.43/3.84  | Instantiating formula (24) with all_27_0_8, all_79_0_27, tptp0 and discharging atoms min_precedes(all_79_0_27, all_27_0_8, tptp0), yields:
% 13.43/3.84  | (172)  ? [v0] :  ? [v1] : (atocc(all_79_0_27, v0) & atocc(all_27_0_8, v1) & subactivity(v1, tptp0) & subactivity(v0, tptp0))
% 13.43/3.84  |
% 13.43/3.84  | Instantiating formula (32) with tptp1, tptp1, all_27_0_8 and discharging atoms atomic(tptp1), subactivity(tptp1, tptp1), occurrence_of(all_27_0_8, tptp1), yields:
% 13.43/3.84  | (173) atocc(all_27_0_8, tptp1)
% 13.43/3.84  |
% 13.43/3.84  | Instantiating formula (20) with tptp0, all_73_0_23, all_9_0_1 and discharging atoms subactivity_occurrence(all_9_0_1, all_73_0_23), root(all_9_0_1, tptp0), occurrence_of(all_73_0_23, tptp0), yields:
% 13.43/3.84  | (174) root_occ(all_9_0_1, all_73_0_23)
% 13.43/3.84  |
% 13.43/3.84  | Instantiating formula (14) with all_73_0_23 and discharging atoms occurrence_of(all_73_0_23, tptp0), yields:
% 13.43/3.84  | (175)  ? [v0] :  ? [v1] : (leaf_occ(v1, all_73_0_23) & root_occ(v0, all_73_0_23) & next_subocc(v0, v1, tptp0) & occurrence_of(v1, tptp3) & occurrence_of(v0, tptp4))
% 13.43/3.84  |
% 13.43/3.84  | Instantiating (172) with all_163_0_68, all_163_1_69 yields:
% 13.43/3.84  | (176) atocc(all_79_0_27, all_163_1_69) & atocc(all_27_0_8, all_163_0_68) & subactivity(all_163_0_68, tptp0) & subactivity(all_163_1_69, tptp0)
% 13.43/3.84  |
% 13.43/3.84  | Applying alpha-rule on (176) yields:
% 13.43/3.84  | (177) atocc(all_79_0_27, all_163_1_69)
% 13.43/3.84  | (178) atocc(all_27_0_8, all_163_0_68)
% 13.43/3.84  | (179) subactivity(all_163_0_68, tptp0)
% 13.43/3.84  | (180) subactivity(all_163_1_69, tptp0)
% 13.43/3.84  |
% 13.43/3.84  | Instantiating (171) with all_165_0_70 yields:
% 13.43/3.84  | (181) atomic(all_165_0_70) & subactivity(all_75_0_24, all_165_0_70) & occurrence_of(all_27_0_8, all_165_0_70)
% 13.43/3.84  |
% 13.43/3.84  | Applying alpha-rule on (181) yields:
% 13.43/3.84  | (182) atomic(all_165_0_70)
% 13.43/3.85  | (183) subactivity(all_75_0_24, all_165_0_70)
% 13.43/3.85  | (184) occurrence_of(all_27_0_8, all_165_0_70)
% 13.43/3.85  |
% 13.43/3.85  | Instantiating (175) with all_189_0_85, all_189_1_86 yields:
% 13.43/3.85  | (185) leaf_occ(all_189_0_85, all_73_0_23) & root_occ(all_189_1_86, all_73_0_23) & next_subocc(all_189_1_86, all_189_0_85, tptp0) & occurrence_of(all_189_0_85, tptp3) & occurrence_of(all_189_1_86, tptp4)
% 13.43/3.85  |
% 13.43/3.85  | Applying alpha-rule on (185) yields:
% 13.43/3.85  | (186) occurrence_of(all_189_0_85, tptp3)
% 13.43/3.85  | (187) leaf_occ(all_189_0_85, all_73_0_23)
% 13.43/3.85  | (188) next_subocc(all_189_1_86, all_189_0_85, tptp0)
% 13.43/3.85  | (189) occurrence_of(all_189_1_86, tptp4)
% 13.43/3.85  | (190) root_occ(all_189_1_86, all_73_0_23)
% 13.43/3.85  |
% 13.43/3.85  | Instantiating formula (56) with tptp0, all_73_0_23, all_9_0_1, all_189_1_86 and discharging atoms root_occ(all_189_1_86, all_73_0_23), root_occ(all_9_0_1, all_73_0_23), occurrence_of(all_73_0_23, tptp0), yields:
% 13.43/3.85  | (191) all_189_1_86 = all_9_0_1
% 13.43/3.85  |
% 13.43/3.85  | Instantiating formula (63) with all_165_0_70, tptp1, all_27_0_8 and discharging atoms occurrence_of(all_27_0_8, all_165_0_70), occurrence_of(all_27_0_8, tptp1), yields:
% 13.43/3.85  | (192) all_165_0_70 = tptp1
% 13.43/3.85  |
% 13.43/3.85  | From (191) and (188) follows:
% 13.43/3.85  | (193) next_subocc(all_9_0_1, all_189_0_85, tptp0)
% 13.43/3.85  |
% 13.43/3.85  | From (192) and (184) follows:
% 13.43/3.85  | (109) occurrence_of(all_27_0_8, tptp1)
% 13.43/3.85  |
% 13.43/3.85  | Instantiating formula (70) with all_73_0_23, all_189_0_85 and discharging atoms leaf_occ(all_189_0_85, all_73_0_23), yields:
% 13.43/3.85  | (195)  ? [v0] : (subactivity_occurrence(all_189_0_85, all_73_0_23) & leaf(all_189_0_85, v0) & occurrence_of(all_73_0_23, v0))
% 13.43/3.85  |
% 13.43/3.85  | Instantiating formula (21) with all_163_0_68, all_27_0_8 and discharging atoms atocc(all_27_0_8, all_163_0_68), yields:
% 13.43/3.85  | (196)  ? [v0] : (atomic(v0) & subactivity(all_163_0_68, v0) & occurrence_of(all_27_0_8, v0))
% 13.43/3.85  |
% 13.43/3.85  | Instantiating formula (21) with tptp1, all_27_0_8 and discharging atoms atocc(all_27_0_8, tptp1), yields:
% 13.43/3.85  | (197)  ? [v0] : (atomic(v0) & subactivity(tptp1, v0) & occurrence_of(all_27_0_8, v0))
% 13.43/3.85  |
% 13.43/3.85  | Instantiating (196) with all_356_0_166 yields:
% 13.43/3.85  | (198) atomic(all_356_0_166) & subactivity(all_163_0_68, all_356_0_166) & occurrence_of(all_27_0_8, all_356_0_166)
% 13.43/3.85  |
% 13.43/3.85  | Applying alpha-rule on (198) yields:
% 13.43/3.85  | (199) atomic(all_356_0_166)
% 13.43/3.85  | (200) subactivity(all_163_0_68, all_356_0_166)
% 13.43/3.85  | (201) occurrence_of(all_27_0_8, all_356_0_166)
% 13.43/3.85  |
% 13.43/3.85  | Instantiating (195) with all_472_0_232 yields:
% 13.43/3.85  | (202) subactivity_occurrence(all_189_0_85, all_73_0_23) & leaf(all_189_0_85, all_472_0_232) & occurrence_of(all_73_0_23, all_472_0_232)
% 13.43/3.85  |
% 13.85/3.85  | Applying alpha-rule on (202) yields:
% 13.85/3.85  | (203) subactivity_occurrence(all_189_0_85, all_73_0_23)
% 13.85/3.85  | (204) leaf(all_189_0_85, all_472_0_232)
% 13.85/3.85  | (205) occurrence_of(all_73_0_23, all_472_0_232)
% 13.85/3.85  |
% 13.85/3.85  | Instantiating (197) with all_480_0_236 yields:
% 13.85/3.85  | (206) atomic(all_480_0_236) & subactivity(tptp1, all_480_0_236) & occurrence_of(all_27_0_8, all_480_0_236)
% 13.85/3.85  |
% 13.85/3.85  | Applying alpha-rule on (206) yields:
% 13.85/3.85  | (207) atomic(all_480_0_236)
% 13.85/3.85  | (208) subactivity(tptp1, all_480_0_236)
% 13.85/3.85  | (209) occurrence_of(all_27_0_8, all_480_0_236)
% 13.85/3.85  |
% 13.85/3.85  | Instantiating formula (65) with all_73_0_23, tptp0, all_189_0_85, all_27_0_8, all_9_0_1 and discharging atoms subactivity_occurrence(all_189_0_85, all_73_0_23), subactivity_occurrence(all_27_0_8, all_73_0_23), next_subocc(all_9_0_1, all_189_0_85, tptp0), next_subocc(all_9_0_1, all_27_0_8, tptp0), occurrence_of(all_73_0_23, tptp0), yields:
% 13.85/3.85  | (210) all_189_0_85 = all_27_0_8
% 13.85/3.85  |
% 13.85/3.85  | Instantiating formula (63) with all_480_0_236, tptp1, all_27_0_8 and discharging atoms occurrence_of(all_27_0_8, all_480_0_236), occurrence_of(all_27_0_8, tptp1), yields:
% 13.85/3.85  | (211) all_480_0_236 = tptp1
% 13.85/3.85  |
% 13.85/3.85  | Instantiating formula (63) with all_356_0_166, all_480_0_236, all_27_0_8 and discharging atoms occurrence_of(all_27_0_8, all_480_0_236), occurrence_of(all_27_0_8, all_356_0_166), yields:
% 13.85/3.85  | (212) all_480_0_236 = all_356_0_166
% 13.85/3.85  |
% 13.85/3.85  | Combining equations (211,212) yields a new equation:
% 13.85/3.85  | (213) all_356_0_166 = tptp1
% 13.85/3.85  |
% 13.85/3.85  | From (210) and (186) follows:
% 13.85/3.85  | (214) occurrence_of(all_27_0_8, tptp3)
% 13.85/3.86  |
% 13.85/3.86  | From (213) and (201) follows:
% 13.85/3.86  | (109) occurrence_of(all_27_0_8, tptp1)
% 13.85/3.86  |
% 13.85/3.86  | Instantiating formula (63) with tptp3, tptp1, all_27_0_8 and discharging atoms occurrence_of(all_27_0_8, tptp1), occurrence_of(all_27_0_8, tptp3), yields:
% 13.85/3.86  | (216) tptp1 = tptp3
% 13.85/3.86  |
% 13.85/3.86  | Equations (216) can reduce 4 to:
% 13.85/3.86  | (217) $false
% 13.85/3.86  |
% 13.85/3.86  |-The branch is then unsatisfiable
% 13.85/3.86  % SZS output end Proof for theBenchmark
% 13.85/3.86  
% 13.85/3.86  3262ms
%------------------------------------------------------------------------------