TSTP Solution File: PRO009+3 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PRO009+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n011.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 17:43:56 EDT 2022
% Result : Theorem 20.03s 6.35s
% Output : Proof 23.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO009+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 01:42:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.56/0.59 ____ _
% 0.56/0.59 ___ / __ \_____(_)___ ________ __________
% 0.56/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.59
% 0.56/0.59 A Theorem Prover for First-Order Logic
% 0.56/0.59 (ePrincess v.1.0)
% 0.56/0.59
% 0.56/0.59 (c) Philipp Rümmer, 2009-2015
% 0.56/0.59 (c) Peter Backeman, 2014-2015
% 0.56/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.59 Bug reports to peter@backeman.se
% 0.56/0.60
% 0.56/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.60
% 0.56/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.77/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.91/1.02 Prover 0: Preprocessing ...
% 2.67/1.29 Prover 0: Constructing countermodel ...
% 18.19/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.55/6.05 Prover 1: Preprocessing ...
% 19.70/6.23 Prover 1: Constructing countermodel ...
% 20.03/6.34 Prover 1: proved (411ms)
% 20.03/6.35 Prover 0: stopped
% 20.03/6.35
% 20.03/6.35 No countermodel exists, formula is valid
% 20.03/6.35 % SZS status Theorem for theBenchmark
% 20.03/6.35
% 20.03/6.35 Generating proof ... found it (size 37)
% 23.31/7.08
% 23.31/7.08 % SZS output start Proof for theBenchmark
% 23.31/7.08 Assumed formulas after preprocessing and simplification:
% 23.31/7.08 | (0) ? [v0] : ? [v1] : ( ~ (v0 = 0) & ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & atomic(tptp1) = 0 & atomic(tptp2) = 0 & atomic(tptp4) = 0 & atomic(tptp3) = 0 & atomic(tptp0) = v0 & activity(tptp0) = 0 & occurrence_of(v1, tptp0) = 0 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v4 | ~ (leaf_occ(v6, v3) = 0) | ~ (root_occ(v5, v3) = 0) | ~ (subactivity_occurrence(v4, v3) = 0) | ~ (occurrence_of(v3, v2) = 0) | ? [v7] : ? [v8] : (min_precedes(v5, v4, v2) = v7 & min_precedes(v4, v6, v2) = v8 & ( ~ (v7 = 0) | v8 = 0))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v3 = v2 | ~ (leaf_occ(v3, v4) = 0) | ~ (leaf_occ(v2, v4) = 0) | ~ (atomic(v5) = v6) | ? [v7] : ( ~ (v7 = 0) & occurrence_of(v4, v5) = v7)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (subactivity_occurrence(v4, v5) = v6) | ~ (subactivity(v2, v3) = 0) | ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & ~ (v9 = 0) & subactivity_occurrence(v7, v5) = 0 & subactivity_occurrence(v7, v4) = v9) | (occurrence_of(v5, v3) = v8 & occurrence_of(v4, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (subactivity_occurrence(v4, v5) = 0) | ~ (subactivity(v2, v3) = v6) | ? [v7] : ? [v8] : ? [v9] : (atomic(v2) = v9 & occurrence_of(v5, v3) = v8 & occurrence_of(v4, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = 0))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (subactivity_occurrence(v3, v5) = 0) | ~ (subactivity_occurrence(v2, v5) = v6) | ~ (occurrence_of(v5, v4) = 0) | ? [v7] : ( ~ (v7 = 0) & min_precedes(v2, v3, v4) = v7)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (leaf_occ(v6, v3) = 0) | ~ (root_occ(v5, v3) = 0) | ~ (subactivity_occurrence(v4, v3) = 0) | ~ (occurrence_of(v3, v2) = 0) | ? [v7] : ? [v8] : (min_precedes(v5, v4, v2) = v8 & min_precedes(v4, v6, v2) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (next_subocc(v2, v4, v5) = 0) | ~ (next_subocc(v2, v3, v5) = 0) | ~ (occurrence_of(v6, v5) = 0) | ? [v7] : ? [v8] : (subactivity_occurrence(v4, v6) = v7 & subactivity_occurrence(v3, v6) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (next_subocc(v6, v5, v4) = v3) | ~ (next_subocc(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (min_precedes(v6, v5, v4) = v3) | ~ (min_precedes(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (leaf_occ(v5, v3) = 0) | ~ (arboreal(v4) = 0) | ~ (occurrence_of(v3, v2) = 0) | ? [v6] : ? [v7] : (subactivity_occurrence(v4, v3) = v6 & min_precedes(v4, v5, v2) = v7 & ( ~ (v6 = 0) | v7 = 0))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (root_occ(v5, v3) = 0) | ~ (arboreal(v4) = 0) | ~ (occurrence_of(v3, v2) = 0) | ? [v6] : ? [v7] : (subactivity_occurrence(v4, v3) = v6 & min_precedes(v5, v4, v2) = v7 & ( ~ (v6 = 0) | v7 = 0))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (arboreal(v5) = 0) | ~ (arboreal(v4) = 0) | ~ (occurrence_of(v3, v2) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v5, v3) = v7 & subactivity_occurrence(v4, v3) = v6 & min_precedes(v5, v4, v2) = v9 & min_precedes(v4, v5, v2) = v8 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v2 | ~ (earlier(v2, v4) = v5) | ~ (earlier(v2, v3) = 0) | ? [v6] : ? [v7] : (earlier(v4, v3) = v6 & earlier(v4, v2) = v7 & ( ~ (v6 = 0) | v7 = 0))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v2, v4) = v5) | ~ (subactivity_occurrence(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & subactivity_occurrence(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (next_subocc(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v7 = 0 & min_precedes(v6, v3, v4) = 0 & min_precedes(v2, v6, v4) = 0) | ( ~ (v6 = 0) & min_precedes(v2, v3, v4) = v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (earlier(v2, v4) = v5) | ~ (earlier(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & earlier(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (activity(v2) = v4) | ~ (activity_occurrence(v3) = v5) | ? [v6] : ( ~ (v6 = 0) & occurrence_of(v3, v2) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (activity_occurrence(v3) = v5) | ~ (activity_occurrence(v2) = v4) | ? [v6] : ( ~ (v6 = 0) & subactivity_occurrence(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (leaf_occ(v3, v2) = 0) | ~ (root_occ(v4, v2) = 0) | ~ (occurrence_of(v2, v5) = 0) | min_precedes(v4, v3, v5) = 0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (next_subocc(v4, v2, v5) = 0) | ~ (next_subocc(v3, v2, v5) = 0)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (leaf(v2, v3) = v4) | ~ (min_precedes(v5, v2, v3) = 0) | ? [v6] : min_precedes(v2, v6, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (atocc(v2, v3) = v4) | ~ (subactivity(v3, v5) = 0) | ? [v6] : ? [v7] : (atomic(v5) = v6 & occurrence_of(v2, v5) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (activity(v2) = v4) | ~ (activity_occurrence(v3) = v5) | ? [v6] : ( ~ (v6 = 0) & occurrence_of(v3, v2) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (activity_occurrence(v3) = v5) | ~ (activity_occurrence(v2) = v4) | ? [v6] : ( ~ (v6 = 0) & subactivity_occurrence(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (leaf_occ(v5, v4) = v3) | ~ (leaf_occ(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (root_occ(v5, v4) = v3) | ~ (root_occ(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (root_occ(v3, v4) = 0) | ~ (root_occ(v2, v4) = 0) | ~ (occurrence_of(v4, v5) = 0)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (subactivity_occurrence(v5, v4) = v3) | ~ (subactivity_occurrence(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (leaf(v5, v4) = v3) | ~ (leaf(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (root(v5, v4) = v3) | ~ (root(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (atocc(v5, v4) = v3) | ~ (atocc(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (precedes(v5, v4) = v3) | ~ (precedes(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (earlier(v5, v4) = v3) | ~ (earlier(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (subactivity(v5, v4) = v3) | ~ (subactivity(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (occurrence_of(v5, v4) = v3) | ~ (occurrence_of(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (leaf_occ(v3, v2) = 0) | ~ (min_precedes(v3, v5, v4) = 0) | ~ (occurrence_of(v2, v4) = 0)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (root_occ(v3, v2) = 0) | ~ (min_precedes(v5, v3, v4) = 0) | ~ (occurrence_of(v2, v4) = 0)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (next_subocc(v2, v3, v4) = 0) | ~ (min_precedes(v2, v5, v4) = 0) | ? [v6] : ( ~ (v6 = 0) & min_precedes(v5, v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (min_precedes(v3, v2, v5) = 0) | ~ (precedes(v3, v4) = 0) | ? [v6] : ? [v7] : (min_precedes(v4, v2, v5) = v6 & min_precedes(v3, v4, v5) = v7 & ( ~ (v6 = 0) | v7 = 0))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (min_precedes(v2, v3, v5) = 0) | ~ (precedes(v3, v4) = 0) | ? [v6] : ? [v7] : (min_precedes(v3, v4, v5) = v7 & min_precedes(v2, v4, v5) = v6 & ( ~ (v6 = 0) | v7 = 0))) & ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (occurrence_of(v2, v4) = 0) | ~ (occurrence_of(v2, v3) = 0)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (leaf_occ(v2, v3) = v4) | ? [v5] : (subactivity_occurrence(v2, v3) = v5 & ! [v6] : ( ~ (v5 = 0) | ~ (leaf(v2, v6) = 0) | ? [v7] : ( ~ (v7 = 0) & occurrence_of(v3, v6) = v7)))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (root_occ(v2, v3) = v4) | ? [v5] : (subactivity_occurrence(v2, v3) = v5 & ! [v6] : ( ~ (v5 = 0) | ~ (root(v2, v6) = 0) | ? [v7] : ( ~ (v7 = 0) & occurrence_of(v3, v6) = v7)))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (leaf(v2, v3) = v4) | ? [v5] : ? [v6] : ((v6 = 0 & min_precedes(v2, v5, v3) = 0) | ( ~ (v5 = 0) & root(v2, v3) = v5))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (precedes(v2, v3) = v4) | ? [v5] : ? [v6] : (legal(v3) = v6 & earlier(v2, v3) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (legal(v3) = v4) | ~ (legal(v2) = 0) | ? [v5] : ( ~ (v5 = 0) & earlier(v3, v2) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (arboreal(v2) = v4) | ~ (atomic(v3) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (arboreal(v2) = 0) | ~ (atomic(v3) = v4) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (legal(v4) = v3) | ~ (legal(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (arboreal(v4) = v3) | ~ (arboreal(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (atomic(v4) = v3) | ~ (atomic(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (activity(v4) = v3) | ~ (activity(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (activity_occurrence(v4) = v3) | ~ (activity_occurrence(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (next_subocc(v2, v3, v4) = 0) | min_precedes(v2, v3, v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (next_subocc(v2, v3, v4) = 0) | (arboreal(v3) = 0 & arboreal(v2) = 0)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (leaf(v2, v3) = 0) | ~ (min_precedes(v2, v4, v3) = 0)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v3, v4, v2) = 0) | ? [v5] : ? [v6] : (atocc(v4, v6) = 0 & atocc(v3, v5) = 0 & subactivity(v6, v2) = 0 & subactivity(v5, v2) = 0)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v3, v4, v2) = 0) | ? [v5] : (subactivity_occurrence(v4, v5) = 0 & subactivity_occurrence(v3, v5) = 0 & occurrence_of(v5, v2) = 0)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v2, v3, v4) = 0) | precedes(v2, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v2, v3, v4) = 0) | arboreal(v2) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v2, v3, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & root(v3, v4) = v5)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v2, v3, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & atomic(v4) = v5)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v2, v3, v4) = 0) | ? [v5] : (root(v5, v4) = 0 & min_precedes(v5, v3, v4) = 0)) & ! [v2] : ! [v3] : ( ~ (leaf_occ(v2, v3) = 0) | ? [v4] : (subactivity_occurrence(v2, v3) = 0 & leaf(v2, v4) = 0 & occurrence_of(v3, v4) = 0)) & ! [v2] : ! [v3] : ( ~ (root_occ(v2, v3) = 0) | ? [v4] : (subactivity_occurrence(v2, v3) = 0 & root(v2, v4) = 0 & occurrence_of(v3, v4) = 0)) & ! [v2] : ! [v3] : ( ~ (leaf(v2, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & leaf_occ(v2, v4) = 0 & occurrence_of(v4, v3) = 0) | (v4 = 0 & atomic(v3) = 0))) & ! [v2] : ! [v3] : ( ~ (leaf(v2, v3) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & min_precedes(v4, v2, v3) = 0) | (v4 = 0 & root(v2, v3) = 0))) & ! [v2] : ! [v3] : ( ~ (root(v3, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & subactivity_occurrence(v3, v4) = 0 & occurrence_of(v4, v2) = 0) | (v4 = 0 & atomic(v2) = 0))) & ! [v2] : ! [v3] : ( ~ (root(v3, v2) = 0) | ? [v4] : (atocc(v3, v4) = 0 & subactivity(v4, v2) = 0)) & ! [v2] : ! [v3] : ( ~ (root(v2, v3) = 0) | legal(v2) = 0) & ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v3, tptp0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & root_occ(v2, v1) = v5 & occurrence_of(v3, tptp1) = v7 & occurrence_of(v3, tptp2) = v6 & occurrence_of(v2, tptp3) = v4 & ( ~ (v8 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0))))) & ! [v2] : ! [v3] : ( ~ (atocc(v2, v3) = 0) | ? [v4] : ? [v5] : (root(v2, v3) = v5 & legal(v2) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (atocc(v2, v3) = 0) | ? [v4] : (atomic(v4) = 0 & subactivity(v3, v4) = 0 & occurrence_of(v2, v4) = 0)) & ! [v2] : ! [v3] : ( ~ (precedes(v2, v3) = 0) | (legal(v3) = 0 & earlier(v2, v3) = 0)) & ! [v2] : ! [v3] : ( ~ (earlier(v2, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & earlier(v3, v2) = v4)) & ! [v2] : ! [v3] : ( ~ (occurrence_of(v3, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & subactivity_occurrence(v4, v3) = 0 & root(v4, v2) = 0) | (v4 = 0 & atomic(v2) = 0))) & ! [v2] : ( ~ (legal(v2) = 0) | arboreal(v2) = 0) & ! [v2] : ( ~ (activity(v2) = 0) | subactivity(v2, v2) = 0) & ! [v2] : ( ~ (activity_occurrence(v2) = 0) | ? [v3] : (activity(v3) = 0 & occurrence_of(v2, v3) = 0)) & ! [v2] : ( ~ (occurrence_of(v2, tptp0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v5, v2) = 0 & root_occ(v3, v2) = 0 & next_subocc(v4, v5, tptp0) = 0 & next_subocc(v3, v4, tptp0) = 0 & occurrence_of(v5, tptp1) = v7 & occurrence_of(v5, tptp2) = v6 & occurrence_of(v4, tptp4) = 0 & occurrence_of(v3, tptp3) = 0 & (v7 = 0 | v6 = 0))))
% 23.54/7.14 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 23.54/7.14 | (1) ~ (all_0_1_1 = 0) & ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & atomic(tptp1) = 0 & atomic(tptp2) = 0 & atomic(tptp4) = 0 & atomic(tptp3) = 0 & atomic(tptp0) = all_0_1_1 & activity(tptp0) = 0 & occurrence_of(all_0_0_0, tptp0) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (leaf_occ(v4, v1) = 0) | ~ (root_occ(v3, v1) = 0) | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v5] : ? [v6] : (min_precedes(v3, v2, v0) = v5 & min_precedes(v2, v4, v0) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v1 = v0 | ~ (leaf_occ(v1, v2) = 0) | ~ (leaf_occ(v0, v2) = 0) | ~ (atomic(v3) = v4) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v2, v3) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = v4) | ~ (subactivity(v0, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ((v6 = 0 & ~ (v7 = 0) & subactivity_occurrence(v5, v3) = 0 & subactivity_occurrence(v5, v2) = v7) | (occurrence_of(v3, v1) = v6 & occurrence_of(v2, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = 0) | ~ (subactivity(v0, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : (atomic(v0) = v7 & occurrence_of(v3, v1) = v6 & occurrence_of(v2, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v1, v3) = 0) | ~ (subactivity_occurrence(v0, v3) = v4) | ~ (occurrence_of(v3, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v0, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (leaf_occ(v4, v1) = 0) | ~ (root_occ(v3, v1) = 0) | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v5] : ? [v6] : (min_precedes(v3, v2, v0) = v6 & min_precedes(v2, v4, v0) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (next_subocc(v0, v2, v3) = 0) | ~ (next_subocc(v0, v1, v3) = 0) | ~ (occurrence_of(v4, v3) = 0) | ? [v5] : ? [v6] : (subactivity_occurrence(v2, v4) = v5 & subactivity_occurrence(v1, v4) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (next_subocc(v4, v3, v2) = v1) | ~ (next_subocc(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (min_precedes(v4, v3, v2) = v1) | ~ (min_precedes(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (leaf_occ(v3, v1) = 0) | ~ (arboreal(v2) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : (subactivity_occurrence(v2, v1) = v4 & min_precedes(v2, v3, v0) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (root_occ(v3, v1) = 0) | ~ (arboreal(v2) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : (subactivity_occurrence(v2, v1) = v4 & min_precedes(v3, v2, v0) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (arboreal(v3) = 0) | ~ (arboreal(v2) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (subactivity_occurrence(v3, v1) = v5 & subactivity_occurrence(v2, v1) = v4 & min_precedes(v3, v2, v0) = v7 & min_precedes(v2, v3, v0) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v0 | ~ (earlier(v0, v2) = v3) | ~ (earlier(v0, v1) = 0) | ? [v4] : ? [v5] : (earlier(v2, v1) = v4 & earlier(v2, v0) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subactivity_occurrence(v0, v2) = v3) | ~ (subactivity_occurrence(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (next_subocc(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & min_precedes(v4, v1, v2) = 0 & min_precedes(v0, v4, v2) = 0) | ( ~ (v4 = 0) & min_precedes(v0, v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (earlier(v0, v2) = v3) | ~ (earlier(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & earlier(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (activity(v0) = v2) | ~ (activity_occurrence(v1) = v3) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (activity_occurrence(v1) = v3) | ~ (activity_occurrence(v0) = v2) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (leaf_occ(v1, v0) = 0) | ~ (root_occ(v2, v0) = 0) | ~ (occurrence_of(v0, v3) = 0) | min_precedes(v2, v1, v3) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (next_subocc(v2, v0, v3) = 0) | ~ (next_subocc(v1, v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (leaf(v0, v1) = v2) | ~ (min_precedes(v3, v0, v1) = 0) | ? [v4] : min_precedes(v0, v4, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (atocc(v0, v1) = v2) | ~ (subactivity(v1, v3) = 0) | ? [v4] : ? [v5] : (atomic(v3) = v4 & occurrence_of(v0, v3) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (activity(v0) = v2) | ~ (activity_occurrence(v1) = v3) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (activity_occurrence(v1) = v3) | ~ (activity_occurrence(v0) = v2) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leaf_occ(v3, v2) = v1) | ~ (leaf_occ(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (root_occ(v3, v2) = v1) | ~ (root_occ(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (root_occ(v1, v2) = 0) | ~ (root_occ(v0, v2) = 0) | ~ (occurrence_of(v2, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subactivity_occurrence(v3, v2) = v1) | ~ (subactivity_occurrence(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leaf(v3, v2) = v1) | ~ (leaf(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (root(v3, v2) = v1) | ~ (root(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (atocc(v3, v2) = v1) | ~ (atocc(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (precedes(v3, v2) = v1) | ~ (precedes(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (earlier(v3, v2) = v1) | ~ (earlier(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subactivity(v3, v2) = v1) | ~ (subactivity(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (occurrence_of(v3, v2) = v1) | ~ (occurrence_of(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (leaf_occ(v1, v0) = 0) | ~ (min_precedes(v1, v3, v2) = 0) | ~ (occurrence_of(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (root_occ(v1, v0) = 0) | ~ (min_precedes(v3, v1, v2) = 0) | ~ (occurrence_of(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (next_subocc(v0, v1, v2) = 0) | ~ (min_precedes(v0, v3, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & min_precedes(v3, v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v0, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v2, v0, v3) = v4 & min_precedes(v1, v2, v3) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v1, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & min_precedes(v0, v2, v3) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (occurrence_of(v0, v2) = 0) | ~ (occurrence_of(v0, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leaf_occ(v0, v1) = v2) | ? [v3] : (subactivity_occurrence(v0, v1) = v3 & ! [v4] : ( ~ (v3 = 0) | ~ (leaf(v0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v1, v4) = v5)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (root_occ(v0, v1) = v2) | ? [v3] : (subactivity_occurrence(v0, v1) = v3 & ! [v4] : ( ~ (v3 = 0) | ~ (root(v0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v1, v4) = v5)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leaf(v0, v1) = v2) | ? [v3] : ? [v4] : ((v4 = 0 & min_precedes(v0, v3, v1) = 0) | ( ~ (v3 = 0) & root(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (precedes(v0, v1) = v2) | ? [v3] : ? [v4] : (legal(v1) = v4 & earlier(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (legal(v1) = v2) | ~ (legal(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & earlier(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (arboreal(v0) = v2) | ~ (atomic(v1) = 0) | ? [v3] : ( ~ (v3 = 0) & occurrence_of(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (arboreal(v0) = 0) | ~ (atomic(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & occurrence_of(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (legal(v2) = v1) | ~ (legal(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (arboreal(v2) = v1) | ~ (arboreal(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atomic(v2) = v1) | ~ (atomic(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (activity(v2) = v1) | ~ (activity(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (activity_occurrence(v2) = v1) | ~ (activity_occurrence(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (next_subocc(v0, v1, v2) = 0) | min_precedes(v0, v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (next_subocc(v0, v1, v2) = 0) | (arboreal(v1) = 0 & arboreal(v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (leaf(v0, v1) = 0) | ~ (min_precedes(v0, v2, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v1, v2, v0) = 0) | ? [v3] : ? [v4] : (atocc(v2, v4) = 0 & atocc(v1, v3) = 0 & subactivity(v4, v0) = 0 & subactivity(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v1, v2, v0) = 0) | ? [v3] : (subactivity_occurrence(v2, v3) = 0 & subactivity_occurrence(v1, v3) = 0 & occurrence_of(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | precedes(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | arboreal(v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & root(v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & atomic(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : (root(v3, v2) = 0 & min_precedes(v3, v1, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (leaf_occ(v0, v1) = 0) | ? [v2] : (subactivity_occurrence(v0, v1) = 0 & leaf(v0, v2) = 0 & occurrence_of(v1, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (root_occ(v0, v1) = 0) | ? [v2] : (subactivity_occurrence(v0, v1) = 0 & root(v0, v2) = 0 & occurrence_of(v1, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (leaf(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & leaf_occ(v0, v2) = 0 & occurrence_of(v2, v1) = 0) | (v2 = 0 & atomic(v1) = 0))) & ! [v0] : ! [v1] : ( ~ (leaf(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & min_precedes(v2, v0, v1) = 0) | (v2 = 0 & root(v0, v1) = 0))) & ! [v0] : ! [v1] : ( ~ (root(v1, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & subactivity_occurrence(v1, v2) = 0 & occurrence_of(v2, v0) = 0) | (v2 = 0 & atomic(v0) = 0))) & ! [v0] : ! [v1] : ( ~ (root(v1, v0) = 0) | ? [v2] : (atocc(v1, v2) = 0 & subactivity(v2, v0) = 0)) & ! [v0] : ! [v1] : ( ~ (root(v0, v1) = 0) | legal(v0) = 0) & ! [v0] : ! [v1] : ( ~ (min_precedes(v0, v1, tptp0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_0_0_0) = v6 & root_occ(v0, all_0_0_0) = v3 & occurrence_of(v1, tptp1) = v5 & occurrence_of(v1, tptp2) = v4 & occurrence_of(v0, tptp3) = v2 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0))))) & ! [v0] : ! [v1] : ( ~ (atocc(v0, v1) = 0) | ? [v2] : ? [v3] : (root(v0, v1) = v3 & legal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (atocc(v0, v1) = 0) | ? [v2] : (atomic(v2) = 0 & subactivity(v1, v2) = 0 & occurrence_of(v0, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (precedes(v0, v1) = 0) | (legal(v1) = 0 & earlier(v0, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (earlier(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & earlier(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (occurrence_of(v1, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & subactivity_occurrence(v2, v1) = 0 & root(v2, v0) = 0) | (v2 = 0 & atomic(v0) = 0))) & ! [v0] : ( ~ (legal(v0) = 0) | arboreal(v0) = 0) & ! [v0] : ( ~ (activity(v0) = 0) | subactivity(v0, v0) = 0) & ! [v0] : ( ~ (activity_occurrence(v0) = 0) | ? [v1] : (activity(v1) = 0 & occurrence_of(v0, v1) = 0)) & ! [v0] : ( ~ (occurrence_of(v0, tptp0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (leaf_occ(v3, v0) = 0 & root_occ(v1, v0) = 0 & next_subocc(v2, v3, tptp0) = 0 & next_subocc(v1, v2, tptp0) = 0 & occurrence_of(v3, tptp1) = v5 & occurrence_of(v3, tptp2) = v4 & occurrence_of(v2, tptp4) = 0 & occurrence_of(v1, tptp3) = 0 & (v5 = 0 | v4 = 0)))
% 23.74/7.16 |
% 23.74/7.16 | Applying alpha-rule on (1) yields:
% 23.74/7.16 | (2) ! [v0] : ( ~ (activity_occurrence(v0) = 0) | ? [v1] : (activity(v1) = 0 & occurrence_of(v0, v1) = 0))
% 23.74/7.16 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v1, v2, v0) = 0) | ? [v3] : (subactivity_occurrence(v2, v3) = 0 & subactivity_occurrence(v1, v3) = 0 & occurrence_of(v3, v0) = 0))
% 23.74/7.16 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leaf(v3, v2) = v1) | ~ (leaf(v3, v2) = v0))
% 23.74/7.16 | (5) ! [v0] : ! [v1] : ( ~ (atocc(v0, v1) = 0) | ? [v2] : (atomic(v2) = 0 & subactivity(v1, v2) = 0 & occurrence_of(v0, v2) = 0))
% 23.74/7.16 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v0 | ~ (earlier(v0, v2) = v3) | ~ (earlier(v0, v1) = 0) | ? [v4] : ? [v5] : (earlier(v2, v1) = v4 & earlier(v2, v0) = v5 & ( ~ (v4 = 0) | v5 = 0)))
% 23.74/7.16 | (7) atomic(tptp2) = 0
% 23.74/7.16 | (8) ~ (tptp2 = tptp4)
% 23.74/7.16 | (9) ~ (tptp1 = tptp3)
% 23.74/7.16 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (activity(v0) = v2) | ~ (activity_occurrence(v1) = v3) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v1, v0) = v4))
% 23.74/7.16 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (legal(v1) = v2) | ~ (legal(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & earlier(v1, v0) = v3))
% 23.74/7.16 | (12) ! [v0] : ( ~ (legal(v0) = 0) | arboreal(v0) = 0)
% 23.74/7.16 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subactivity_occurrence(v3, v2) = v1) | ~ (subactivity_occurrence(v3, v2) = v0))
% 23.74/7.16 | (14) ! [v0] : ! [v1] : ( ~ (occurrence_of(v1, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & subactivity_occurrence(v2, v1) = 0 & root(v2, v0) = 0) | (v2 = 0 & atomic(v0) = 0)))
% 23.74/7.16 | (15) ! [v0] : ( ~ (occurrence_of(v0, tptp0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (leaf_occ(v3, v0) = 0 & root_occ(v1, v0) = 0 & next_subocc(v2, v3, tptp0) = 0 & next_subocc(v1, v2, tptp0) = 0 & occurrence_of(v3, tptp1) = v5 & occurrence_of(v3, tptp2) = v4 & occurrence_of(v2, tptp4) = 0 & occurrence_of(v1, tptp3) = 0 & (v5 = 0 | v4 = 0)))
% 23.74/7.16 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | precedes(v0, v1) = 0)
% 23.74/7.16 | (17) ! [v0] : ! [v1] : ( ~ (root(v0, v1) = 0) | legal(v0) = 0)
% 23.74/7.16 | (18) ! [v0] : ( ~ (activity(v0) = 0) | subactivity(v0, v0) = 0)
% 23.74/7.16 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (leaf(v0, v1) = 0) | ~ (min_precedes(v0, v2, v1) = 0))
% 23.74/7.17 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (next_subocc(v0, v1, v2) = 0) | ~ (min_precedes(v0, v3, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & min_precedes(v3, v1, v2) = v4))
% 23.74/7.17 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (precedes(v3, v2) = v1) | ~ (precedes(v3, v2) = v0))
% 23.74/7.17 | (22) ~ (tptp2 = tptp3)
% 23.74/7.17 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v1, v2, v0) = 0) | ? [v3] : ? [v4] : (atocc(v2, v4) = 0 & atocc(v1, v3) = 0 & subactivity(v4, v0) = 0 & subactivity(v3, v0) = 0))
% 23.74/7.17 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (leaf_occ(v4, v1) = 0) | ~ (root_occ(v3, v1) = 0) | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v5] : ? [v6] : (min_precedes(v3, v2, v0) = v5 & min_precedes(v2, v4, v0) = v6 & ( ~ (v5 = 0) | v6 = 0)))
% 23.74/7.17 | (25) atomic(tptp1) = 0
% 23.74/7.17 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v0, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v2, v0, v3) = v4 & min_precedes(v1, v2, v3) = v5 & ( ~ (v4 = 0) | v5 = 0)))
% 23.74/7.17 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (leaf_occ(v4, v1) = 0) | ~ (root_occ(v3, v1) = 0) | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v5] : ? [v6] : (min_precedes(v3, v2, v0) = v6 & min_precedes(v2, v4, v0) = v5 & ( ~ (v5 = 0) | v6 = 0)))
% 23.74/7.17 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | arboreal(v0) = 0)
% 23.74/7.17 | (29) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (occurrence_of(v0, v2) = 0) | ~ (occurrence_of(v0, v1) = 0))
% 23.74/7.17 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (earlier(v0, v2) = v3) | ~ (earlier(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & earlier(v1, v2) = v4))
% 23.74/7.17 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (activity(v2) = v1) | ~ (activity(v2) = v0))
% 23.74/7.17 | (32) ! [v0] : ! [v1] : ( ~ (leaf(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & min_precedes(v2, v0, v1) = 0) | (v2 = 0 & root(v0, v1) = 0)))
% 23.74/7.17 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & root(v1, v2) = v3))
% 23.74/7.17 | (34) atomic(tptp0) = all_0_1_1
% 23.74/7.17 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & atomic(v2) = v3))
% 23.74/7.17 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v1, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & min_precedes(v0, v2, v3) = v4 & ( ~ (v4 = 0) | v5 = 0)))
% 23.74/7.17 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (earlier(v3, v2) = v1) | ~ (earlier(v3, v2) = v0))
% 23.74/7.17 | (38) ~ (all_0_1_1 = 0)
% 23.74/7.17 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (activity_occurrence(v1) = v3) | ~ (activity_occurrence(v0) = v2) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v0, v1) = v4))
% 23.74/7.17 | (40) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (precedes(v0, v1) = v2) | ? [v3] : ? [v4] : (legal(v1) = v4 & earlier(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 23.74/7.17 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leaf_occ(v3, v2) = v1) | ~ (leaf_occ(v3, v2) = v0))
% 23.74/7.17 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atomic(v2) = v1) | ~ (atomic(v2) = v0))
% 23.74/7.17 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (leaf_occ(v1, v0) = 0) | ~ (root_occ(v2, v0) = 0) | ~ (occurrence_of(v0, v3) = 0) | min_precedes(v2, v1, v3) = 0)
% 23.74/7.17 | (44) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (arboreal(v0) = 0) | ~ (atomic(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & occurrence_of(v0, v1) = v3))
% 23.74/7.17 | (45) ! [v0] : ! [v1] : ( ~ (atocc(v0, v1) = 0) | ? [v2] : ? [v3] : (root(v0, v1) = v3 & legal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 23.74/7.17 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (root(v3, v2) = v1) | ~ (root(v3, v2) = v0))
% 23.74/7.17 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (next_subocc(v0, v1, v2) = 0) | (arboreal(v1) = 0 & arboreal(v0) = 0))
% 23.74/7.17 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v1, v3) = 0) | ~ (subactivity_occurrence(v0, v3) = v4) | ~ (occurrence_of(v3, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v0, v1, v2) = v5))
% 23.74/7.17 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (activity(v0) = v2) | ~ (activity_occurrence(v1) = v3) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v1, v0) = v4))
% 23.74/7.18 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (activity_occurrence(v1) = v3) | ~ (activity_occurrence(v0) = v2) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v0, v1) = v4))
% 23.74/7.18 | (51) ! [v0] : ! [v1] : ( ~ (precedes(v0, v1) = 0) | (legal(v1) = 0 & earlier(v0, v1) = 0))
% 23.74/7.18 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (next_subocc(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & min_precedes(v4, v1, v2) = 0 & min_precedes(v0, v4, v2) = 0) | ( ~ (v4 = 0) & min_precedes(v0, v1, v2) = v4)))
% 23.74/7.18 | (53) ! [v0] : ! [v1] : ( ~ (earlier(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & earlier(v1, v0) = v2))
% 23.74/7.18 | (54) ! [v0] : ! [v1] : ( ~ (root_occ(v0, v1) = 0) | ? [v2] : (subactivity_occurrence(v0, v1) = 0 & root(v0, v2) = 0 & occurrence_of(v1, v2) = 0))
% 23.74/7.18 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (occurrence_of(v3, v2) = v1) | ~ (occurrence_of(v3, v2) = v0))
% 23.74/7.18 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (arboreal(v2) = v1) | ~ (arboreal(v2) = v0))
% 23.74/7.18 | (57) ! [v0] : ! [v1] : ( ~ (root(v1, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & subactivity_occurrence(v1, v2) = 0 & occurrence_of(v2, v0) = 0) | (v2 = 0 & atomic(v0) = 0)))
% 23.74/7.18 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = v4) | ~ (subactivity(v0, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ((v6 = 0 & ~ (v7 = 0) & subactivity_occurrence(v5, v3) = 0 & subactivity_occurrence(v5, v2) = v7) | (occurrence_of(v3, v1) = v6 & occurrence_of(v2, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))))
% 23.74/7.18 | (59) activity(tptp0) = 0
% 23.74/7.18 | (60) ~ (tptp1 = tptp4)
% 23.74/7.18 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (atocc(v0, v1) = v2) | ~ (subactivity(v1, v3) = 0) | ? [v4] : ? [v5] : (atomic(v3) = v4 & occurrence_of(v0, v3) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0))))
% 23.74/7.18 | (62) atomic(tptp4) = 0
% 23.74/7.18 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subactivity_occurrence(v0, v2) = v3) | ~ (subactivity_occurrence(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v1, v2) = v4))
% 23.74/7.18 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (leaf_occ(v1, v0) = 0) | ~ (min_precedes(v1, v3, v2) = 0) | ~ (occurrence_of(v0, v2) = 0))
% 23.74/7.18 | (65) occurrence_of(all_0_0_0, tptp0) = 0
% 23.74/7.18 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (activity_occurrence(v2) = v1) | ~ (activity_occurrence(v2) = v0))
% 23.74/7.18 | (67) ~ (tptp1 = tptp2)
% 23.74/7.18 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (next_subocc(v2, v0, v3) = 0) | ~ (next_subocc(v1, v0, v3) = 0))
% 23.74/7.18 | (69) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (arboreal(v0) = v2) | ~ (atomic(v1) = 0) | ? [v3] : ( ~ (v3 = 0) & occurrence_of(v0, v1) = v3))
% 23.74/7.18 | (70) ! [v0] : ! [v1] : ( ~ (min_precedes(v0, v1, tptp0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_0_0_0) = v6 & root_occ(v0, all_0_0_0) = v3 & occurrence_of(v1, tptp1) = v5 & occurrence_of(v1, tptp2) = v4 & occurrence_of(v0, tptp3) = v2 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0)))))
% 23.74/7.18 | (71) atomic(tptp3) = 0
% 23.74/7.18 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (min_precedes(v4, v3, v2) = v1) | ~ (min_precedes(v4, v3, v2) = v0))
% 23.74/7.18 | (73) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (root_occ(v0, v1) = v2) | ? [v3] : (subactivity_occurrence(v0, v1) = v3 & ! [v4] : ( ~ (v3 = 0) | ~ (root(v0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v1, v4) = v5))))
% 23.74/7.18 | (74) ! [v0] : ! [v1] : ( ~ (leaf(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & leaf_occ(v0, v2) = 0 & occurrence_of(v2, v1) = 0) | (v2 = 0 & atomic(v1) = 0)))
% 23.74/7.18 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (leaf(v0, v1) = v2) | ~ (min_precedes(v3, v0, v1) = 0) | ? [v4] : min_precedes(v0, v4, v1) = 0)
% 23.74/7.18 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (root_occ(v3, v1) = 0) | ~ (arboreal(v2) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : (subactivity_occurrence(v2, v1) = v4 & min_precedes(v3, v2, v0) = v5 & ( ~ (v4 = 0) | v5 = 0)))
% 23.74/7.18 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (next_subocc(v4, v3, v2) = v1) | ~ (next_subocc(v4, v3, v2) = v0))
% 23.74/7.18 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v1 = v0 | ~ (leaf_occ(v1, v2) = 0) | ~ (leaf_occ(v0, v2) = 0) | ~ (atomic(v3) = v4) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v2, v3) = v5))
% 23.74/7.18 | (79) ! [v0] : ! [v1] : ! [v2] : ( ~ (next_subocc(v0, v1, v2) = 0) | min_precedes(v0, v1, v2) = 0)
% 23.74/7.19 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = 0) | ~ (subactivity(v0, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : (atomic(v0) = v7 & occurrence_of(v3, v1) = v6 & occurrence_of(v2, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0)))
% 23.74/7.19 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (next_subocc(v0, v2, v3) = 0) | ~ (next_subocc(v0, v1, v3) = 0) | ~ (occurrence_of(v4, v3) = 0) | ? [v5] : ? [v6] : (subactivity_occurrence(v2, v4) = v5 & subactivity_occurrence(v1, v4) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0))))
% 23.74/7.19 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (legal(v2) = v1) | ~ (legal(v2) = v0))
% 23.74/7.19 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (arboreal(v3) = 0) | ~ (arboreal(v2) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (subactivity_occurrence(v3, v1) = v5 & subactivity_occurrence(v2, v1) = v4 & min_precedes(v3, v2, v0) = v7 & min_precedes(v2, v3, v0) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0 | v6 = 0)))
% 23.74/7.19 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : (root(v3, v2) = 0 & min_precedes(v3, v1, v2) = 0))
% 23.74/7.19 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (leaf_occ(v3, v1) = 0) | ~ (arboreal(v2) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : (subactivity_occurrence(v2, v1) = v4 & min_precedes(v2, v3, v0) = v5 & ( ~ (v4 = 0) | v5 = 0)))
% 23.74/7.19 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (atocc(v3, v2) = v1) | ~ (atocc(v3, v2) = v0))
% 23.74/7.19 | (87) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leaf_occ(v0, v1) = v2) | ? [v3] : (subactivity_occurrence(v0, v1) = v3 & ! [v4] : ( ~ (v3 = 0) | ~ (leaf(v0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v1, v4) = v5))))
% 23.74/7.19 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (root_occ(v1, v2) = 0) | ~ (root_occ(v0, v2) = 0) | ~ (occurrence_of(v2, v3) = 0))
% 23.74/7.19 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subactivity(v3, v2) = v1) | ~ (subactivity(v3, v2) = v0))
% 23.74/7.19 | (90) ! [v0] : ! [v1] : ( ~ (root(v1, v0) = 0) | ? [v2] : (atocc(v1, v2) = 0 & subactivity(v2, v0) = 0))
% 23.74/7.19 | (91) ! [v0] : ! [v1] : ( ~ (leaf_occ(v0, v1) = 0) | ? [v2] : (subactivity_occurrence(v0, v1) = 0 & leaf(v0, v2) = 0 & occurrence_of(v1, v2) = 0))
% 23.74/7.19 | (92) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leaf(v0, v1) = v2) | ? [v3] : ? [v4] : ((v4 = 0 & min_precedes(v0, v3, v1) = 0) | ( ~ (v3 = 0) & root(v0, v1) = v3)))
% 23.74/7.19 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (root_occ(v1, v0) = 0) | ~ (min_precedes(v3, v1, v2) = 0) | ~ (occurrence_of(v0, v2) = 0))
% 23.74/7.19 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (root_occ(v3, v2) = v1) | ~ (root_occ(v3, v2) = v0))
% 23.74/7.19 | (95) ~ (tptp4 = tptp3)
% 23.74/7.19 |
% 23.74/7.19 | Instantiating formula (15) with all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, tptp0) = 0, yields:
% 23.74/7.19 | (96) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (leaf_occ(v2, all_0_0_0) = 0 & root_occ(v0, all_0_0_0) = 0 & next_subocc(v1, v2, tptp0) = 0 & next_subocc(v0, v1, tptp0) = 0 & occurrence_of(v2, tptp1) = v4 & occurrence_of(v2, tptp2) = v3 & occurrence_of(v1, tptp4) = 0 & occurrence_of(v0, tptp3) = 0 & (v4 = 0 | v3 = 0))
% 23.74/7.19 |
% 23.74/7.19 | Instantiating (96) with all_10_0_5, all_10_1_6, all_10_2_7, all_10_3_8, all_10_4_9 yields:
% 23.74/7.19 | (97) leaf_occ(all_10_2_7, all_0_0_0) = 0 & root_occ(all_10_4_9, all_0_0_0) = 0 & next_subocc(all_10_3_8, all_10_2_7, tptp0) = 0 & next_subocc(all_10_4_9, all_10_3_8, tptp0) = 0 & occurrence_of(all_10_2_7, tptp1) = all_10_0_5 & occurrence_of(all_10_2_7, tptp2) = all_10_1_6 & occurrence_of(all_10_3_8, tptp4) = 0 & occurrence_of(all_10_4_9, tptp3) = 0 & (all_10_0_5 = 0 | all_10_1_6 = 0)
% 23.74/7.19 |
% 23.74/7.19 | Applying alpha-rule on (97) yields:
% 23.74/7.19 | (98) occurrence_of(all_10_4_9, tptp3) = 0
% 23.74/7.19 | (99) next_subocc(all_10_4_9, all_10_3_8, tptp0) = 0
% 23.74/7.19 | (100) leaf_occ(all_10_2_7, all_0_0_0) = 0
% 23.74/7.19 | (101) root_occ(all_10_4_9, all_0_0_0) = 0
% 23.74/7.19 | (102) occurrence_of(all_10_3_8, tptp4) = 0
% 23.74/7.19 | (103) next_subocc(all_10_3_8, all_10_2_7, tptp0) = 0
% 23.74/7.19 | (104) occurrence_of(all_10_2_7, tptp2) = all_10_1_6
% 23.74/7.19 | (105) occurrence_of(all_10_2_7, tptp1) = all_10_0_5
% 23.74/7.19 | (106) all_10_0_5 = 0 | all_10_1_6 = 0
% 23.74/7.19 |
% 23.74/7.19 | Instantiating formula (43) with tptp0, all_10_4_9, all_10_2_7, all_0_0_0 and discharging atoms leaf_occ(all_10_2_7, all_0_0_0) = 0, root_occ(all_10_4_9, all_0_0_0) = 0, occurrence_of(all_0_0_0, tptp0) = 0, yields:
% 23.74/7.20 | (107) all_10_2_7 = all_10_4_9 | min_precedes(all_10_4_9, all_10_2_7, tptp0) = 0
% 23.74/7.20 |
% 23.74/7.20 | Instantiating formula (79) with tptp0, all_10_3_8, all_10_4_9 and discharging atoms next_subocc(all_10_4_9, all_10_3_8, tptp0) = 0, yields:
% 23.74/7.20 | (108) min_precedes(all_10_4_9, all_10_3_8, tptp0) = 0
% 23.74/7.20 |
% 23.74/7.20 | Instantiating formula (64) with all_10_3_8, tptp0, all_10_4_9, all_0_0_0 and discharging atoms min_precedes(all_10_4_9, all_10_3_8, tptp0) = 0, occurrence_of(all_0_0_0, tptp0) = 0, yields:
% 23.74/7.20 | (109) ~ (leaf_occ(all_10_4_9, all_0_0_0) = 0)
% 23.74/7.20 |
% 23.74/7.20 | Using (100) and (109) yields:
% 23.74/7.20 | (110) ~ (all_10_2_7 = all_10_4_9)
% 23.74/7.20 |
% 23.74/7.20 +-Applying beta-rule and splitting (107), into two cases.
% 23.74/7.20 |-Branch one:
% 23.74/7.20 | (111) min_precedes(all_10_4_9, all_10_2_7, tptp0) = 0
% 23.74/7.20 |
% 23.74/7.20 | Instantiating formula (70) with all_10_2_7, all_10_4_9 and discharging atoms min_precedes(all_10_4_9, all_10_2_7, tptp0) = 0, yields:
% 23.74/7.20 | (112) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (leaf_occ(all_10_2_7, all_0_0_0) = v4 & root_occ(all_10_4_9, all_0_0_0) = v1 & occurrence_of(all_10_2_7, tptp1) = v3 & occurrence_of(all_10_2_7, tptp2) = v2 & occurrence_of(all_10_4_9, tptp3) = v0 & ( ~ (v4 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = 0) & ~ (v2 = 0))))
% 23.74/7.20 |
% 23.74/7.20 | Instantiating (112) with all_95_0_64, all_95_1_65, all_95_2_66, all_95_3_67, all_95_4_68 yields:
% 23.74/7.20 | (113) leaf_occ(all_10_2_7, all_0_0_0) = all_95_0_64 & root_occ(all_10_4_9, all_0_0_0) = all_95_3_67 & occurrence_of(all_10_2_7, tptp1) = all_95_1_65 & occurrence_of(all_10_2_7, tptp2) = all_95_2_66 & occurrence_of(all_10_4_9, tptp3) = all_95_4_68 & ( ~ (all_95_0_64 = 0) | ~ (all_95_3_67 = 0) | ~ (all_95_4_68 = 0) | ( ~ (all_95_1_65 = 0) & ~ (all_95_2_66 = 0)))
% 23.74/7.20 |
% 23.74/7.20 | Applying alpha-rule on (113) yields:
% 23.74/7.20 | (114) ~ (all_95_0_64 = 0) | ~ (all_95_3_67 = 0) | ~ (all_95_4_68 = 0) | ( ~ (all_95_1_65 = 0) & ~ (all_95_2_66 = 0))
% 23.74/7.20 | (115) leaf_occ(all_10_2_7, all_0_0_0) = all_95_0_64
% 23.74/7.20 | (116) occurrence_of(all_10_2_7, tptp1) = all_95_1_65
% 23.74/7.20 | (117) occurrence_of(all_10_4_9, tptp3) = all_95_4_68
% 23.74/7.20 | (118) root_occ(all_10_4_9, all_0_0_0) = all_95_3_67
% 23.74/7.20 | (119) occurrence_of(all_10_2_7, tptp2) = all_95_2_66
% 23.74/7.20 |
% 23.74/7.20 | Instantiating formula (41) with all_10_2_7, all_0_0_0, all_95_0_64, 0 and discharging atoms leaf_occ(all_10_2_7, all_0_0_0) = all_95_0_64, leaf_occ(all_10_2_7, all_0_0_0) = 0, yields:
% 23.74/7.20 | (120) all_95_0_64 = 0
% 23.74/7.20 |
% 23.74/7.20 | Instantiating formula (94) with all_10_4_9, all_0_0_0, all_95_3_67, 0 and discharging atoms root_occ(all_10_4_9, all_0_0_0) = all_95_3_67, root_occ(all_10_4_9, all_0_0_0) = 0, yields:
% 23.74/7.20 | (121) all_95_3_67 = 0
% 23.74/7.20 |
% 23.74/7.20 | Instantiating formula (55) with all_10_2_7, tptp1, all_95_1_65, all_10_0_5 and discharging atoms occurrence_of(all_10_2_7, tptp1) = all_95_1_65, occurrence_of(all_10_2_7, tptp1) = all_10_0_5, yields:
% 23.74/7.20 | (122) all_95_1_65 = all_10_0_5
% 23.74/7.20 |
% 23.74/7.20 | Instantiating formula (55) with all_10_2_7, tptp2, all_95_2_66, all_10_1_6 and discharging atoms occurrence_of(all_10_2_7, tptp2) = all_95_2_66, occurrence_of(all_10_2_7, tptp2) = all_10_1_6, yields:
% 23.74/7.20 | (123) all_95_2_66 = all_10_1_6
% 23.74/7.20 |
% 23.74/7.20 | Instantiating formula (55) with all_10_4_9, tptp3, all_95_4_68, 0 and discharging atoms occurrence_of(all_10_4_9, tptp3) = all_95_4_68, occurrence_of(all_10_4_9, tptp3) = 0, yields:
% 23.74/7.20 | (124) all_95_4_68 = 0
% 23.74/7.20 |
% 23.74/7.20 +-Applying beta-rule and splitting (114), into two cases.
% 23.74/7.20 |-Branch one:
% 23.74/7.20 | (125) ~ (all_95_0_64 = 0)
% 23.74/7.20 |
% 23.74/7.20 | Equations (120) can reduce 125 to:
% 23.74/7.20 | (126) $false
% 23.74/7.20 |
% 23.74/7.20 |-The branch is then unsatisfiable
% 23.74/7.20 |-Branch two:
% 23.74/7.20 | (120) all_95_0_64 = 0
% 23.74/7.20 | (128) ~ (all_95_3_67 = 0) | ~ (all_95_4_68 = 0) | ( ~ (all_95_1_65 = 0) & ~ (all_95_2_66 = 0))
% 23.74/7.20 |
% 23.74/7.20 +-Applying beta-rule and splitting (128), into two cases.
% 23.74/7.20 |-Branch one:
% 23.74/7.20 | (129) ~ (all_95_3_67 = 0)
% 23.74/7.20 |
% 23.74/7.20 | Equations (121) can reduce 129 to:
% 23.74/7.20 | (126) $false
% 23.74/7.20 |
% 23.74/7.20 |-The branch is then unsatisfiable
% 23.74/7.20 |-Branch two:
% 23.74/7.20 | (121) all_95_3_67 = 0
% 23.74/7.20 | (132) ~ (all_95_4_68 = 0) | ( ~ (all_95_1_65 = 0) & ~ (all_95_2_66 = 0))
% 23.74/7.20 |
% 23.74/7.20 +-Applying beta-rule and splitting (132), into two cases.
% 23.74/7.20 |-Branch one:
% 23.74/7.20 | (133) ~ (all_95_4_68 = 0)
% 23.74/7.20 |
% 23.74/7.20 | Equations (124) can reduce 133 to:
% 23.74/7.20 | (126) $false
% 23.74/7.20 |
% 23.74/7.20 |-The branch is then unsatisfiable
% 23.74/7.20 |-Branch two:
% 23.74/7.20 | (124) all_95_4_68 = 0
% 23.74/7.20 | (136) ~ (all_95_1_65 = 0) & ~ (all_95_2_66 = 0)
% 23.74/7.20 |
% 23.74/7.20 | Applying alpha-rule on (136) yields:
% 23.74/7.20 | (137) ~ (all_95_1_65 = 0)
% 23.74/7.20 | (138) ~ (all_95_2_66 = 0)
% 23.74/7.20 |
% 23.74/7.20 | Equations (122) can reduce 137 to:
% 23.74/7.20 | (139) ~ (all_10_0_5 = 0)
% 23.74/7.20 |
% 23.74/7.20 | Equations (123) can reduce 138 to:
% 23.74/7.20 | (140) ~ (all_10_1_6 = 0)
% 23.74/7.20 |
% 23.74/7.20 +-Applying beta-rule and splitting (106), into two cases.
% 23.74/7.20 |-Branch one:
% 23.74/7.20 | (141) all_10_0_5 = 0
% 23.74/7.20 |
% 23.74/7.20 | Equations (141) can reduce 139 to:
% 23.74/7.20 | (126) $false
% 23.74/7.20 |
% 23.74/7.20 |-The branch is then unsatisfiable
% 23.74/7.20 |-Branch two:
% 23.74/7.20 | (139) ~ (all_10_0_5 = 0)
% 23.74/7.20 | (144) all_10_1_6 = 0
% 23.74/7.20 |
% 23.74/7.20 | Equations (144) can reduce 140 to:
% 23.74/7.20 | (126) $false
% 23.74/7.20 |
% 23.74/7.20 |-The branch is then unsatisfiable
% 23.74/7.20 |-Branch two:
% 23.74/7.20 | (146) ~ (min_precedes(all_10_4_9, all_10_2_7, tptp0) = 0)
% 23.74/7.20 | (147) all_10_2_7 = all_10_4_9
% 23.74/7.20 |
% 23.74/7.20 | Equations (147) can reduce 110 to:
% 23.74/7.20 | (126) $false
% 23.74/7.20 |
% 23.74/7.20 |-The branch is then unsatisfiable
% 23.74/7.20 % SZS output end Proof for theBenchmark
% 23.74/7.20
% 23.74/7.20 6599ms
%------------------------------------------------------------------------------