TSTP Solution File: PRO003+4 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PRO003+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 9.90s 3.09s
% Output : Proof 14.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PRO003+4 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 01:40:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.59 ____ _
% 0.20/0.59 ___ / __ \_____(_)___ ________ __________
% 0.20/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.20/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.20/0.59
% 0.20/0.59 A Theorem Prover for First-Order Logic
% 0.20/0.59 (ePrincess v.1.0)
% 0.20/0.59
% 0.20/0.59 (c) Philipp Rümmer, 2009-2015
% 0.20/0.59 (c) Peter Backeman, 2014-2015
% 0.20/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.59 Bug reports to peter@backeman.se
% 0.20/0.59
% 0.20/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.59
% 0.20/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.65/1.00 Prover 0: Preprocessing ...
% 2.41/1.23 Prover 0: Constructing countermodel ...
% 9.90/3.09 Prover 0: proved (2446ms)
% 9.90/3.09
% 9.90/3.09 No countermodel exists, formula is valid
% 9.90/3.09 % SZS status Theorem for theBenchmark
% 9.90/3.09
% 9.90/3.09 Generating proof ... found it (size 136)
% 14.66/4.15
% 14.66/4.15 % SZS output start Proof for theBenchmark
% 14.66/4.15 Assumed formulas after preprocessing and simplification:
% 14.66/4.15 | (0) ? [v0] : ( ~ (tptp1 = tptp2) & ~ (tptp1 = tptp3) & ~ (tptp1 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp3 = tptp4) & activity(tptp0) & atomic(tptp1) & atomic(tptp2) & atomic(tptp3) & atomic(tptp4) & occurrence_of(v0, tptp0) & ~ atomic(tptp0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ min_precedes(v4, v3, v1) | ~ leaf_occ(v5, v2) | ~ root_occ(v4, v2) | ~ subactivity_occurrence(v3, v2) | ~ occurrence_of(v2, v1) | min_precedes(v3, v5, v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ arboreal(v4) | ~ arboreal(v3) | ~ subactivity_occurrence(v4, v2) | ~ subactivity_occurrence(v3, v2) | ~ occurrence_of(v2, v1) | min_precedes(v4, v3, v1) | min_precedes(v3, v4, v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ arboreal(v3) | ~ leaf_occ(v4, v2) | ~ subactivity_occurrence(v3, v2) | ~ occurrence_of(v2, v1) | min_precedes(v3, v4, v1)) & ! [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] : ( ~ next_subocc(v1, v2, v3) | ~ min_precedes(v4, v2, v3) | ~ min_precedes(v1, v4, v3)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ precedes(v2, v3) | ~ min_precedes(v1, v3, v4) | ~ min_precedes(v1, v2, v4) | min_precedes(v2, v3, v4)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v4, v2, v3) | ~ root_occ(v2, v1) | ~ occurrence_of(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v2, v4, v3) | ~ leaf_occ(v2, v1) | ~ occurrence_of(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v1, v2, v3) | ~ subactivity_occurrence(v2, v4) | ~ occurrence_of(v4, v3) | subactivity_occurrence(v1, v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ occurrence_of(v1, v3) | ~ occurrence_of(v1, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v1, v2, v3) | arboreal(v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v1, v2, v3) | arboreal(v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v1, v2, v3) | min_precedes(v1, v2, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ earlier(v2, v3) | ~ earlier(v1, v2) | earlier(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ leaf(v1, v3) | ~ subactivity_occurrence(v1, v2) | ~ occurrence_of(v2, v3) | leaf_occ(v1, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ leaf(v1, v2) | ~ min_precedes(v1, v3, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ subactivity(v2, v3) | ~ atomic(v3) | ~ occurrence_of(v1, v3) | atocc(v1, v2)) & ! [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] : (subactivity_occurrence(v3, v4) & subactivity_occurrence(v2, v4) & occurrence_of(v4, v1))) & ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v2, v3) | ~ root(v2, 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) | ? [v4] : (min_precedes(v4, v2, v3) & root(v4, v3))) & ! [v1] : ! [v2] : ! [v3] : ( ~ subactivity_occurrence(v1, v2) | ~ root(v1, v3) | ~ occurrence_of(v2, v3) | root_occ(v1, v2)) & ! [v1] : ! [v2] : ( ~ precedes(v1, v2) | earlier(v1, v2)) & ! [v1] : ! [v2] : ( ~ precedes(v1, v2) | legal(v2)) & ! [v1] : ! [v2] : ( ~ earlier(v2, v1) | ~ earlier(v1, v2)) & ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ legal(v2) | precedes(v1, v2)) & ! [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] : ( ~ atocc(v1, v2) | ? [v3] : (subactivity(v2, v3) & atomic(v3) & occurrence_of(v1, v3))) & ! [v1] : ! [v2] : ( ~ arboreal(v1) | ~ occurrence_of(v1, v2) | atomic(v2)) & ! [v1] : ! [v2] : ( ~ leaf_occ(v1, v2) | ? [v3] : (leaf(v1, v3) & subactivity_occurrence(v1, v2) & 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] : ( ~ root(v2, v1) | ? [v3] : (atocc(v2, v3) & subactivity(v3, v1))) & ! [v1] : ! [v2] : ( ~ root(v1, v2) | legal(v1)) & ! [v1] : ! [v2] : ( ~ root(v1, v2) | leaf(v1, v2) | ? [v3] : min_precedes(v1, v3, v2)) & ! [v1] : ! [v2] : ( ~ atomic(v2) | ~ occurrence_of(v1, v2) | arboreal(v1)) & ! [v1] : ! [v2] : ( ~ occurrence_of(v2, v1) | activity_occurrence(v2)) & ! [v1] : ! [v2] : ( ~ occurrence_of(v2, v1) | activity(v1)) & ! [v1] : ! [v2] : ( ~ occurrence_of(v2, v1) | atomic(v1) | ? [v3] : (subactivity_occurrence(v3, v2) & root(v3, v1))) & ! [v1] : ( ~ legal(v1) | arboreal(v1)) & ! [v1] : ( ~ activity_occurrence(v1) | ? [v2] : (activity(v2) & occurrence_of(v1, v2))) & ! [v1] : ( ~ occurrence_of(v1, tptp0) | ? [v2] : ? [v3] : (next_subocc(v2, v3, tptp0) & leaf_occ(v3, v1) & root_occ(v2, v1) & occurrence_of(v3, tptp3) & occurrence_of(v2, tptp4))))
% 14.66/4.17 | Instantiating (0) with all_0_0_0 yields:
% 14.66/4.17 | (1) ~ (tptp1 = tptp2) & ~ (tptp1 = tptp3) & ~ (tptp1 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp3 = tptp4) & activity(tptp0) & atomic(tptp1) & atomic(tptp2) & atomic(tptp3) & atomic(tptp4) & occurrence_of(all_0_0_0, tptp0) & ~ atomic(tptp0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ min_precedes(v3, v2, v0) | ~ leaf_occ(v4, v1) | ~ root_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v4, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v3) | ~ arboreal(v2) | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v2) | ~ leaf_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ leaf_occ(v1, v2) | ~ leaf_occ(v0, v2) | ~ occurrence_of(v2, v3) | atomic(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ root_occ(v1, v2) | ~ root_occ(v0, v2) | ~ occurrence_of(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v0, v1, v2) | ~ min_precedes(v3, v1, v2) | ~ min_precedes(v0, v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ precedes(v1, v2) | ~ min_precedes(v0, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v1, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v3, v1, v2) | ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v3, v2) | ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v0, v1, v2) | ~ subactivity_occurrence(v1, v3) | ~ occurrence_of(v3, v2) | subactivity_occurrence(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ earlier(v0, v1) | earlier(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v2) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, v2) | leaf_occ(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v1) | ~ min_precedes(v0, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ~ root(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & root(v3, v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1)) & ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1)) & ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1)) & ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1)) & ! [v0] : ! [v1] : ( ~ earlier(v0, v1) | ~ legal(v1) | precedes(v0, v1)) & ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) | ? [v2] : min_precedes(v2, v0, v1)) & ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) | ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1))) & ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2))) & ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ occurrence_of(v0, v1) | atomic(v1)) & ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2))) & ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ~ 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] : ( ~ root(v1, v0) | ? [v2] : (atocc(v1, v2) & subactivity(v2, v0))) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0)) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1)) & ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0))) & ! [v0] : ( ~ legal(v0) | arboreal(v0)) & ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1))) & ! [v0] : ( ~ occurrence_of(v0, tptp0) | ? [v1] : ? [v2] : (next_subocc(v1, v2, tptp0) & leaf_occ(v2, v0) & root_occ(v1, v0) & occurrence_of(v2, tptp3) & occurrence_of(v1, tptp4)))
% 14.96/4.18 |
% 14.96/4.18 | Applying alpha-rule on (1) yields:
% 14.96/4.18 | (2) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1))
% 14.96/4.18 | (3) ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2)))
% 14.96/4.18 | (4) ~ (tptp1 = tptp3)
% 14.96/4.18 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0)))
% 14.96/4.18 | (6) ~ (tptp2 = tptp3)
% 14.96/4.18 | (7) ! [v0] : ! [v1] : ( ~ earlier(v0, v1) | ~ legal(v1) | precedes(v0, v1))
% 14.96/4.18 | (8) ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2)))
% 14.96/4.18 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v3, v1, v2) | ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2))
% 14.96/4.18 | (10) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1))
% 14.96/4.18 | (11) ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (atocc(v1, v2) & subactivity(v2, v0)))
% 14.96/4.18 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2))
% 14.96/4.18 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2)))
% 14.96/4.18 | (14) ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0))
% 14.96/4.18 | (15) ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0))
% 14.96/4.18 | (16) ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1))
% 14.96/4.18 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v2) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, v2) | leaf_occ(v0, v1))
% 14.96/4.18 | (18) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1))
% 14.96/4.18 | (19) atomic(tptp3)
% 14.96/4.18 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1))
% 14.96/4.18 | (21) ~ (tptp3 = tptp4)
% 14.96/4.18 | (22) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1))
% 14.96/4.18 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1))
% 14.96/4.18 | (24) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0))
% 14.96/4.18 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v3) | ~ arboreal(v2) | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0))
% 14.96/4.18 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ~ root(v1, v2))
% 14.96/4.18 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v2) | ~ leaf_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v3, v0))
% 14.96/4.18 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ leaf_occ(v1, v2) | ~ leaf_occ(v0, v2) | ~ occurrence_of(v2, v3) | atomic(v3))
% 14.96/4.18 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v0, v1, v2) | ~ min_precedes(v3, v1, v2) | ~ min_precedes(v0, v3, v2))
% 14.96/4.18 | (30) ! [v0] : ( ~ occurrence_of(v0, tptp0) | ? [v1] : ? [v2] : (next_subocc(v1, v2, tptp0) & leaf_occ(v2, v0) & root_occ(v1, v0) & occurrence_of(v2, tptp3) & occurrence_of(v1, tptp4)))
% 14.96/4.19 | (31) ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ~ occurrence_of(v1, tptp0) | ? [v2] : (next_subocc(v0, v2, tptp0) & occurrence_of(v2, tptp1)))
% 14.96/4.19 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ min_precedes(v3, v2, v0) | ~ leaf_occ(v4, v1) | ~ root_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v4, v0))
% 14.96/4.19 | (33) activity(tptp0)
% 14.96/4.19 | (34) atomic(tptp4)
% 14.96/4.19 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1))
% 14.96/4.19 | (36) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) | ? [v2] : min_precedes(v2, v0, v1))
% 14.96/4.19 | (37) atomic(tptp2)
% 14.96/4.19 | (38) ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1))
% 14.96/4.19 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & root(v3, v2)))
% 14.96/4.19 | (40) ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ occurrence_of(v0, v1) | atomic(v1))
% 14.96/4.19 | (41) ~ (tptp2 = tptp4)
% 14.96/4.19 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v1) | ~ min_precedes(v0, v2, v1))
% 14.96/4.19 | (43) ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1)))
% 14.96/4.19 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v0, v1, v2) | ~ subactivity_occurrence(v1, v3) | ~ occurrence_of(v3, v2) | subactivity_occurrence(v0, v3))
% 14.96/4.19 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1))
% 14.96/4.19 | (46) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0))
% 14.96/4.19 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0))
% 14.96/4.19 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v3, v2) | ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2))
% 14.96/4.19 | (49) ~ (tptp1 = tptp4)
% 14.96/4.19 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ earlier(v0, v1) | earlier(v0, v2))
% 14.96/4.19 | (51) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0)))
% 14.96/4.19 | (52) occurrence_of(all_0_0_0, tptp0)
% 14.96/4.19 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ root_occ(v1, v2) | ~ root_occ(v0, v2) | ~ occurrence_of(v2, v3))
% 14.96/4.19 | (54) atomic(tptp1)
% 14.96/4.19 | (55) ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2)))
% 14.96/4.19 | (56) ~ (tptp1 = tptp2)
% 14.96/4.19 | (57) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1))
% 14.96/4.19 | (58) ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 14.96/4.19 | (59) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) | ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1)))
% 14.96/4.19 | (60) ~ atomic(tptp0)
% 14.96/4.19 | (61) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1))
% 14.96/4.19 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ precedes(v1, v2) | ~ min_precedes(v0, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v1, v2, v3))
% 14.96/4.19 |
% 14.96/4.19 | Instantiating formula (30) with all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, tptp0), yields:
% 14.96/4.19 | (63) ? [v0] : ? [v1] : (next_subocc(v0, v1, tptp0) & leaf_occ(v1, all_0_0_0) & root_occ(v0, all_0_0_0) & occurrence_of(v1, tptp3) & occurrence_of(v0, tptp4))
% 14.96/4.19 |
% 14.96/4.19 | Instantiating formula (61) with all_0_0_0, tptp0 and discharging atoms occurrence_of(all_0_0_0, tptp0), yields:
% 14.96/4.19 | (64) activity_occurrence(all_0_0_0)
% 14.96/4.19 |
% 14.96/4.19 | Instantiating formula (51) with all_0_0_0, tptp0 and discharging atoms occurrence_of(all_0_0_0, tptp0), ~ atomic(tptp0), yields:
% 14.96/4.19 | (65) ? [v0] : (subactivity_occurrence(v0, all_0_0_0) & root(v0, tptp0))
% 14.96/4.19 |
% 14.96/4.19 | Instantiating (65) with all_9_0_1 yields:
% 14.96/4.19 | (66) subactivity_occurrence(all_9_0_1, all_0_0_0) & root(all_9_0_1, tptp0)
% 14.96/4.19 |
% 14.96/4.19 | Applying alpha-rule on (66) yields:
% 14.96/4.19 | (67) subactivity_occurrence(all_9_0_1, all_0_0_0)
% 14.96/4.19 | (68) root(all_9_0_1, tptp0)
% 14.96/4.19 |
% 14.96/4.19 | Instantiating (63) with all_11_0_2, all_11_1_3 yields:
% 14.96/4.19 | (69) next_subocc(all_11_1_3, all_11_0_2, tptp0) & leaf_occ(all_11_0_2, all_0_0_0) & root_occ(all_11_1_3, all_0_0_0) & occurrence_of(all_11_0_2, tptp3) & occurrence_of(all_11_1_3, tptp4)
% 14.96/4.19 |
% 14.96/4.19 | Applying alpha-rule on (69) yields:
% 14.96/4.19 | (70) occurrence_of(all_11_0_2, tptp3)
% 14.96/4.19 | (71) next_subocc(all_11_1_3, all_11_0_2, tptp0)
% 14.96/4.19 | (72) root_occ(all_11_1_3, all_0_0_0)
% 14.96/4.19 | (73) occurrence_of(all_11_1_3, tptp4)
% 14.96/4.19 | (74) leaf_occ(all_11_0_2, all_0_0_0)
% 14.96/4.19 |
% 14.96/4.19 | Instantiating formula (43) with all_0_0_0 and discharging atoms activity_occurrence(all_0_0_0), yields:
% 14.96/4.19 | (75) ? [v0] : (activity(v0) & occurrence_of(all_0_0_0, v0))
% 14.96/4.19 |
% 14.96/4.19 | Instantiating formula (3) with all_0_0_0, all_11_0_2 and discharging atoms leaf_occ(all_11_0_2, all_0_0_0), yields:
% 14.96/4.19 | (76) ? [v0] : (leaf(all_11_0_2, v0) & subactivity_occurrence(all_11_0_2, all_0_0_0) & occurrence_of(all_0_0_0, v0))
% 14.96/4.19 |
% 14.96/4.19 | Instantiating formula (31) 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:
% 14.96/4.19 | (77) ? [v0] : (next_subocc(all_11_1_3, v0, tptp0) & occurrence_of(v0, tptp1))
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (8) with all_0_0_0, all_11_1_3 and discharging atoms root_occ(all_11_1_3, all_0_0_0), yields:
% 14.96/4.20 | (78) ? [v0] : (subactivity_occurrence(all_11_1_3, all_0_0_0) & root(all_11_1_3, v0) & occurrence_of(all_0_0_0, v0))
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (57) 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:
% 14.96/4.20 | (79) root_occ(all_9_0_1, all_0_0_0)
% 14.96/4.20 |
% 14.96/4.20 | Instantiating (78) with all_21_0_5 yields:
% 14.96/4.20 | (80) subactivity_occurrence(all_11_1_3, all_0_0_0) & root(all_11_1_3, all_21_0_5) & occurrence_of(all_0_0_0, all_21_0_5)
% 14.96/4.20 |
% 14.96/4.20 | Applying alpha-rule on (80) yields:
% 14.96/4.20 | (81) subactivity_occurrence(all_11_1_3, all_0_0_0)
% 14.96/4.20 | (82) root(all_11_1_3, all_21_0_5)
% 14.96/4.20 | (83) occurrence_of(all_0_0_0, all_21_0_5)
% 14.96/4.20 |
% 14.96/4.20 | Instantiating (75) with all_23_0_6 yields:
% 14.96/4.20 | (84) activity(all_23_0_6) & occurrence_of(all_0_0_0, all_23_0_6)
% 14.96/4.20 |
% 14.96/4.20 | Applying alpha-rule on (84) yields:
% 14.96/4.20 | (85) activity(all_23_0_6)
% 14.96/4.20 | (86) occurrence_of(all_0_0_0, all_23_0_6)
% 14.96/4.20 |
% 14.96/4.20 | Instantiating (77) with all_25_0_7 yields:
% 14.96/4.20 | (87) next_subocc(all_11_1_3, all_25_0_7, tptp0) & occurrence_of(all_25_0_7, tptp1)
% 14.96/4.20 |
% 14.96/4.20 | Applying alpha-rule on (87) yields:
% 14.96/4.20 | (88) next_subocc(all_11_1_3, all_25_0_7, tptp0)
% 14.96/4.20 | (89) occurrence_of(all_25_0_7, tptp1)
% 14.96/4.20 |
% 14.96/4.20 | Instantiating (76) with all_27_0_8 yields:
% 14.96/4.20 | (90) leaf(all_11_0_2, all_27_0_8) & subactivity_occurrence(all_11_0_2, all_0_0_0) & occurrence_of(all_0_0_0, all_27_0_8)
% 14.96/4.20 |
% 14.96/4.20 | Applying alpha-rule on (90) yields:
% 14.96/4.20 | (91) leaf(all_11_0_2, all_27_0_8)
% 14.96/4.20 | (92) subactivity_occurrence(all_11_0_2, all_0_0_0)
% 14.96/4.20 | (93) occurrence_of(all_0_0_0, all_27_0_8)
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (10) with all_23_0_6, tptp0, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_23_0_6), occurrence_of(all_0_0_0, tptp0), yields:
% 14.96/4.20 | (94) all_23_0_6 = tptp0
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (10) with all_23_0_6, all_27_0_8, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_27_0_8), occurrence_of(all_0_0_0, all_23_0_6), yields:
% 14.96/4.20 | (95) all_27_0_8 = all_23_0_6
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (53) with all_21_0_5, 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_21_0_5), yields:
% 14.96/4.20 | (96) all_11_1_3 = all_9_0_1
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (10) with all_21_0_5, all_27_0_8, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_27_0_8), occurrence_of(all_0_0_0, all_21_0_5), yields:
% 14.96/4.20 | (97) all_27_0_8 = all_21_0_5
% 14.96/4.20 |
% 14.96/4.20 | Combining equations (95,97) yields a new equation:
% 14.96/4.20 | (98) all_23_0_6 = all_21_0_5
% 14.96/4.20 |
% 14.96/4.20 | Simplifying 98 yields:
% 14.96/4.20 | (99) all_23_0_6 = all_21_0_5
% 14.96/4.20 |
% 14.96/4.20 | Combining equations (99,94) yields a new equation:
% 14.96/4.20 | (100) all_21_0_5 = tptp0
% 14.96/4.20 |
% 14.96/4.20 | Simplifying 100 yields:
% 14.96/4.20 | (101) all_21_0_5 = tptp0
% 14.96/4.20 |
% 14.96/4.20 | From (96) and (88) follows:
% 14.96/4.20 | (102) next_subocc(all_9_0_1, all_25_0_7, tptp0)
% 14.96/4.20 |
% 14.96/4.20 | From (96) and (72) follows:
% 14.96/4.20 | (79) root_occ(all_9_0_1, all_0_0_0)
% 14.96/4.20 |
% 14.96/4.20 | From (101) and (83) follows:
% 14.96/4.20 | (52) occurrence_of(all_0_0_0, tptp0)
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (12) with tptp0, all_25_0_7, all_9_0_1 and discharging atoms next_subocc(all_9_0_1, all_25_0_7, tptp0), yields:
% 14.96/4.20 | (105) min_precedes(all_9_0_1, all_25_0_7, tptp0)
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (8) with all_0_0_0, all_9_0_1 and discharging atoms root_occ(all_9_0_1, all_0_0_0), yields:
% 14.96/4.20 | (106) ? [v0] : (subactivity_occurrence(all_9_0_1, all_0_0_0) & root(all_9_0_1, v0) & occurrence_of(all_0_0_0, v0))
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (61) with all_25_0_7, tptp1 and discharging atoms occurrence_of(all_25_0_7, tptp1), yields:
% 14.96/4.20 | (107) activity_occurrence(all_25_0_7)
% 14.96/4.20 |
% 14.96/4.20 | Instantiating (106) with all_49_0_14 yields:
% 14.96/4.20 | (108) subactivity_occurrence(all_9_0_1, all_0_0_0) & root(all_9_0_1, all_49_0_14) & occurrence_of(all_0_0_0, all_49_0_14)
% 14.96/4.20 |
% 14.96/4.20 | Applying alpha-rule on (108) yields:
% 14.96/4.20 | (67) subactivity_occurrence(all_9_0_1, all_0_0_0)
% 14.96/4.20 | (110) root(all_9_0_1, all_49_0_14)
% 14.96/4.20 | (111) occurrence_of(all_0_0_0, all_49_0_14)
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (10) with all_49_0_14, tptp0, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_49_0_14), occurrence_of(all_0_0_0, tptp0), yields:
% 14.96/4.20 | (112) all_49_0_14 = tptp0
% 14.96/4.20 |
% 14.96/4.20 | From (112) and (110) follows:
% 14.96/4.20 | (68) root(all_9_0_1, tptp0)
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (43) with all_25_0_7 and discharging atoms activity_occurrence(all_25_0_7), yields:
% 14.96/4.20 | (114) ? [v0] : (activity(v0) & occurrence_of(all_25_0_7, v0))
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (5) with all_25_0_7, all_9_0_1, tptp0 and discharging atoms min_precedes(all_9_0_1, all_25_0_7, tptp0), yields:
% 14.96/4.20 | (115) ? [v0] : (subactivity_occurrence(all_25_0_7, v0) & subactivity_occurrence(all_9_0_1, v0) & occurrence_of(v0, tptp0))
% 14.96/4.20 |
% 14.96/4.20 | Instantiating formula (39) with tptp0, all_25_0_7, all_9_0_1 and discharging atoms min_precedes(all_9_0_1, all_25_0_7, tptp0), yields:
% 14.96/4.20 | (116) ? [v0] : (min_precedes(v0, all_25_0_7, tptp0) & root(v0, tptp0))
% 14.96/4.20 |
% 14.96/4.20 | Instantiating (115) with all_79_0_26 yields:
% 14.96/4.20 | (117) subactivity_occurrence(all_25_0_7, all_79_0_26) & subactivity_occurrence(all_9_0_1, all_79_0_26) & occurrence_of(all_79_0_26, tptp0)
% 14.96/4.20 |
% 14.96/4.20 | Applying alpha-rule on (117) yields:
% 14.96/4.20 | (118) subactivity_occurrence(all_25_0_7, all_79_0_26)
% 14.96/4.20 | (119) subactivity_occurrence(all_9_0_1, all_79_0_26)
% 14.96/4.20 | (120) occurrence_of(all_79_0_26, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating (116) with all_81_0_27 yields:
% 14.96/4.21 | (121) min_precedes(all_81_0_27, all_25_0_7, tptp0) & root(all_81_0_27, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | Applying alpha-rule on (121) yields:
% 14.96/4.21 | (122) min_precedes(all_81_0_27, all_25_0_7, tptp0)
% 14.96/4.21 | (123) root(all_81_0_27, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating (114) with all_83_0_28 yields:
% 14.96/4.21 | (124) activity(all_83_0_28) & occurrence_of(all_25_0_7, all_83_0_28)
% 14.96/4.21 |
% 14.96/4.21 | Applying alpha-rule on (124) yields:
% 14.96/4.21 | (125) activity(all_83_0_28)
% 14.96/4.21 | (126) occurrence_of(all_25_0_7, all_83_0_28)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (10) with all_83_0_28, tptp1, all_25_0_7 and discharging atoms occurrence_of(all_25_0_7, all_83_0_28), occurrence_of(all_25_0_7, tptp1), yields:
% 14.96/4.21 | (127) all_83_0_28 = tptp1
% 14.96/4.21 |
% 14.96/4.21 | From (127) and (126) follows:
% 14.96/4.21 | (89) occurrence_of(all_25_0_7, tptp1)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (5) with all_25_0_7, all_81_0_27, tptp0 and discharging atoms min_precedes(all_81_0_27, all_25_0_7, tptp0), yields:
% 14.96/4.21 | (129) ? [v0] : (subactivity_occurrence(all_81_0_27, v0) & subactivity_occurrence(all_25_0_7, v0) & occurrence_of(v0, tptp0))
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (39) with tptp0, all_25_0_7, all_81_0_27 and discharging atoms min_precedes(all_81_0_27, all_25_0_7, tptp0), yields:
% 14.96/4.21 | (116) ? [v0] : (min_precedes(v0, all_25_0_7, tptp0) & root(v0, tptp0))
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (44) with all_79_0_26, tptp0, all_25_0_7, all_81_0_27 and discharging atoms min_precedes(all_81_0_27, all_25_0_7, tptp0), subactivity_occurrence(all_25_0_7, all_79_0_26), occurrence_of(all_79_0_26, tptp0), yields:
% 14.96/4.21 | (131) subactivity_occurrence(all_81_0_27, all_79_0_26)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (57) with tptp0, all_79_0_26, all_9_0_1 and discharging atoms subactivity_occurrence(all_9_0_1, all_79_0_26), root(all_9_0_1, tptp0), occurrence_of(all_79_0_26, tptp0), yields:
% 14.96/4.21 | (132) root_occ(all_9_0_1, all_79_0_26)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (30) with all_79_0_26 and discharging atoms occurrence_of(all_79_0_26, tptp0), yields:
% 14.96/4.21 | (133) ? [v0] : ? [v1] : (next_subocc(v0, v1, tptp0) & leaf_occ(v1, all_79_0_26) & root_occ(v0, all_79_0_26) & occurrence_of(v1, tptp3) & occurrence_of(v0, tptp4))
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (61) with all_79_0_26, tptp0 and discharging atoms occurrence_of(all_79_0_26, tptp0), yields:
% 14.96/4.21 | (134) activity_occurrence(all_79_0_26)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (51) with all_79_0_26, tptp0 and discharging atoms occurrence_of(all_79_0_26, tptp0), ~ atomic(tptp0), yields:
% 14.96/4.21 | (135) ? [v0] : (subactivity_occurrence(v0, all_79_0_26) & root(v0, tptp0))
% 14.96/4.21 |
% 14.96/4.21 | Instantiating (135) with all_115_0_40 yields:
% 14.96/4.21 | (136) subactivity_occurrence(all_115_0_40, all_79_0_26) & root(all_115_0_40, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | Applying alpha-rule on (136) yields:
% 14.96/4.21 | (137) subactivity_occurrence(all_115_0_40, all_79_0_26)
% 14.96/4.21 | (138) root(all_115_0_40, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating (133) with all_123_0_44, all_123_1_45 yields:
% 14.96/4.21 | (139) next_subocc(all_123_1_45, all_123_0_44, tptp0) & leaf_occ(all_123_0_44, all_79_0_26) & root_occ(all_123_1_45, all_79_0_26) & occurrence_of(all_123_0_44, tptp3) & occurrence_of(all_123_1_45, tptp4)
% 14.96/4.21 |
% 14.96/4.21 | Applying alpha-rule on (139) yields:
% 14.96/4.21 | (140) leaf_occ(all_123_0_44, all_79_0_26)
% 14.96/4.21 | (141) root_occ(all_123_1_45, all_79_0_26)
% 14.96/4.21 | (142) next_subocc(all_123_1_45, all_123_0_44, tptp0)
% 14.96/4.21 | (143) occurrence_of(all_123_0_44, tptp3)
% 14.96/4.21 | (144) occurrence_of(all_123_1_45, tptp4)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating (116) with all_125_0_46 yields:
% 14.96/4.21 | (145) min_precedes(all_125_0_46, all_25_0_7, tptp0) & root(all_125_0_46, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | Applying alpha-rule on (145) yields:
% 14.96/4.21 | (146) min_precedes(all_125_0_46, all_25_0_7, tptp0)
% 14.96/4.21 | (147) root(all_125_0_46, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating (129) with all_139_0_53 yields:
% 14.96/4.21 | (148) subactivity_occurrence(all_81_0_27, all_139_0_53) & subactivity_occurrence(all_25_0_7, all_139_0_53) & occurrence_of(all_139_0_53, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | Applying alpha-rule on (148) yields:
% 14.96/4.21 | (149) subactivity_occurrence(all_81_0_27, all_139_0_53)
% 14.96/4.21 | (150) subactivity_occurrence(all_25_0_7, all_139_0_53)
% 14.96/4.21 | (151) occurrence_of(all_139_0_53, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (53) with tptp0, all_79_0_26, all_9_0_1, all_123_1_45 and discharging atoms root_occ(all_123_1_45, all_79_0_26), root_occ(all_9_0_1, all_79_0_26), occurrence_of(all_79_0_26, tptp0), yields:
% 14.96/4.21 | (152) all_123_1_45 = all_9_0_1
% 14.96/4.21 |
% 14.96/4.21 | From (152) and (142) follows:
% 14.96/4.21 | (153) next_subocc(all_9_0_1, all_123_0_44, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | From (152) and (141) follows:
% 14.96/4.21 | (132) root_occ(all_9_0_1, all_79_0_26)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (43) with all_79_0_26 and discharging atoms activity_occurrence(all_79_0_26), yields:
% 14.96/4.21 | (155) ? [v0] : (activity(v0) & occurrence_of(all_79_0_26, v0))
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (35) with all_125_0_46, tptp0, all_25_0_7 and discharging atoms min_precedes(all_125_0_46, all_25_0_7, tptp0), yields:
% 14.96/4.21 | (156) leaf(all_25_0_7, tptp0) | ? [v0] : min_precedes(all_25_0_7, v0, tptp0)
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (3) with all_79_0_26, all_123_0_44 and discharging atoms leaf_occ(all_123_0_44, all_79_0_26), yields:
% 14.96/4.21 | (157) ? [v0] : (leaf(all_123_0_44, v0) & subactivity_occurrence(all_123_0_44, all_79_0_26) & occurrence_of(all_79_0_26, v0))
% 14.96/4.21 |
% 14.96/4.21 | Instantiating formula (32) with all_123_0_44, all_9_0_1, all_25_0_7, all_79_0_26, tptp0 and discharging atoms min_precedes(all_9_0_1, all_25_0_7, tptp0), leaf_occ(all_123_0_44, all_79_0_26), root_occ(all_9_0_1, all_79_0_26), subactivity_occurrence(all_25_0_7, all_79_0_26), occurrence_of(all_79_0_26, tptp0), yields:
% 14.96/4.22 | (158) all_123_0_44 = all_25_0_7 | min_precedes(all_25_0_7, all_123_0_44, tptp0)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (8) with all_79_0_26, all_9_0_1 and discharging atoms root_occ(all_9_0_1, all_79_0_26), yields:
% 14.96/4.22 | (159) ? [v0] : (subactivity_occurrence(all_9_0_1, all_79_0_26) & root(all_9_0_1, v0) & occurrence_of(all_79_0_26, v0))
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (57) with tptp0, all_79_0_26, all_81_0_27 and discharging atoms subactivity_occurrence(all_81_0_27, all_79_0_26), root(all_81_0_27, tptp0), occurrence_of(all_79_0_26, tptp0), yields:
% 14.96/4.22 | (160) root_occ(all_81_0_27, all_79_0_26)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (57) with tptp0, all_79_0_26, all_115_0_40 and discharging atoms subactivity_occurrence(all_115_0_40, all_79_0_26), root(all_115_0_40, tptp0), occurrence_of(all_79_0_26, tptp0), yields:
% 14.96/4.22 | (161) root_occ(all_115_0_40, all_79_0_26)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (44) with all_139_0_53, tptp0, all_25_0_7, all_125_0_46 and discharging atoms min_precedes(all_125_0_46, all_25_0_7, tptp0), subactivity_occurrence(all_25_0_7, all_139_0_53), occurrence_of(all_139_0_53, tptp0), yields:
% 14.96/4.22 | (162) subactivity_occurrence(all_125_0_46, all_139_0_53)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (57) with tptp0, all_139_0_53, all_81_0_27 and discharging atoms subactivity_occurrence(all_81_0_27, all_139_0_53), root(all_81_0_27, tptp0), occurrence_of(all_139_0_53, tptp0), yields:
% 14.96/4.22 | (163) root_occ(all_81_0_27, all_139_0_53)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (61) with all_139_0_53, tptp0 and discharging atoms occurrence_of(all_139_0_53, tptp0), yields:
% 14.96/4.22 | (164) activity_occurrence(all_139_0_53)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (51) with all_139_0_53, tptp0 and discharging atoms occurrence_of(all_139_0_53, tptp0), ~ atomic(tptp0), yields:
% 14.96/4.22 | (165) ? [v0] : (subactivity_occurrence(v0, all_139_0_53) & root(v0, tptp0))
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (61) with all_123_0_44, tptp3 and discharging atoms occurrence_of(all_123_0_44, tptp3), yields:
% 14.96/4.22 | (166) activity_occurrence(all_123_0_44)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating (157) with all_173_0_63 yields:
% 14.96/4.22 | (167) leaf(all_123_0_44, all_173_0_63) & subactivity_occurrence(all_123_0_44, all_79_0_26) & occurrence_of(all_79_0_26, all_173_0_63)
% 14.96/4.22 |
% 14.96/4.22 | Applying alpha-rule on (167) yields:
% 14.96/4.22 | (168) leaf(all_123_0_44, all_173_0_63)
% 14.96/4.22 | (169) subactivity_occurrence(all_123_0_44, all_79_0_26)
% 14.96/4.22 | (170) occurrence_of(all_79_0_26, all_173_0_63)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating (159) with all_187_0_70 yields:
% 14.96/4.22 | (171) subactivity_occurrence(all_9_0_1, all_79_0_26) & root(all_9_0_1, all_187_0_70) & occurrence_of(all_79_0_26, all_187_0_70)
% 14.96/4.22 |
% 14.96/4.22 | Applying alpha-rule on (171) yields:
% 14.96/4.22 | (119) subactivity_occurrence(all_9_0_1, all_79_0_26)
% 14.96/4.22 | (173) root(all_9_0_1, all_187_0_70)
% 14.96/4.22 | (174) occurrence_of(all_79_0_26, all_187_0_70)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating (155) with all_191_0_72 yields:
% 14.96/4.22 | (175) activity(all_191_0_72) & occurrence_of(all_79_0_26, all_191_0_72)
% 14.96/4.22 |
% 14.96/4.22 | Applying alpha-rule on (175) yields:
% 14.96/4.22 | (176) activity(all_191_0_72)
% 14.96/4.22 | (177) occurrence_of(all_79_0_26, all_191_0_72)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating (165) with all_213_0_84 yields:
% 14.96/4.22 | (178) subactivity_occurrence(all_213_0_84, all_139_0_53) & root(all_213_0_84, tptp0)
% 14.96/4.22 |
% 14.96/4.22 | Applying alpha-rule on (178) yields:
% 14.96/4.22 | (179) subactivity_occurrence(all_213_0_84, all_139_0_53)
% 14.96/4.22 | (180) root(all_213_0_84, tptp0)
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (10) with all_187_0_70, tptp0, all_79_0_26 and discharging atoms occurrence_of(all_79_0_26, all_187_0_70), occurrence_of(all_79_0_26, tptp0), yields:
% 14.96/4.22 | (181) all_187_0_70 = tptp0
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (10) with all_187_0_70, all_191_0_72, all_79_0_26 and discharging atoms occurrence_of(all_79_0_26, all_191_0_72), occurrence_of(all_79_0_26, all_187_0_70), yields:
% 14.96/4.22 | (182) all_191_0_72 = all_187_0_70
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (53) with all_173_0_63, all_79_0_26, all_9_0_1, all_115_0_40 and discharging atoms root_occ(all_115_0_40, all_79_0_26), root_occ(all_9_0_1, all_79_0_26), occurrence_of(all_79_0_26, all_173_0_63), yields:
% 14.96/4.22 | (183) all_115_0_40 = all_9_0_1
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (53) with all_173_0_63, all_79_0_26, all_115_0_40, all_81_0_27 and discharging atoms root_occ(all_115_0_40, all_79_0_26), root_occ(all_81_0_27, all_79_0_26), occurrence_of(all_79_0_26, all_173_0_63), yields:
% 14.96/4.22 | (184) all_115_0_40 = all_81_0_27
% 14.96/4.22 |
% 14.96/4.22 | Instantiating formula (10) with all_173_0_63, all_191_0_72, all_79_0_26 and discharging atoms occurrence_of(all_79_0_26, all_191_0_72), occurrence_of(all_79_0_26, all_173_0_63), yields:
% 14.96/4.22 | (185) all_191_0_72 = all_173_0_63
% 14.96/4.22 |
% 14.96/4.22 | Combining equations (182,185) yields a new equation:
% 14.96/4.22 | (186) all_187_0_70 = all_173_0_63
% 14.96/4.22 |
% 14.96/4.22 | Simplifying 186 yields:
% 14.96/4.22 | (187) all_187_0_70 = all_173_0_63
% 14.96/4.22 |
% 14.96/4.22 | Combining equations (187,181) yields a new equation:
% 14.96/4.22 | (188) all_173_0_63 = tptp0
% 14.96/4.22 |
% 14.96/4.22 | Simplifying 188 yields:
% 14.96/4.22 | (189) all_173_0_63 = tptp0
% 14.96/4.22 |
% 14.96/4.22 | Combining equations (183,184) yields a new equation:
% 14.96/4.23 | (190) all_81_0_27 = all_9_0_1
% 14.96/4.23 |
% 14.96/4.23 | From (189) and (168) follows:
% 14.96/4.23 | (191) leaf(all_123_0_44, tptp0)
% 14.96/4.23 |
% 14.96/4.23 | From (190) and (163) follows:
% 14.96/4.23 | (192) root_occ(all_9_0_1, all_139_0_53)
% 14.96/4.23 |
% 14.96/4.23 +-Applying beta-rule and splitting (156), into two cases.
% 14.96/4.23 |-Branch one:
% 14.96/4.23 | (193) leaf(all_25_0_7, tptp0)
% 14.96/4.23 |
% 14.96/4.23 | Instantiating formula (43) with all_123_0_44 and discharging atoms activity_occurrence(all_123_0_44), yields:
% 14.96/4.23 | (194) ? [v0] : (activity(v0) & occurrence_of(all_123_0_44, v0))
% 14.96/4.23 |
% 14.96/4.23 | Instantiating (194) with all_391_0_152 yields:
% 14.96/4.23 | (195) activity(all_391_0_152) & occurrence_of(all_123_0_44, all_391_0_152)
% 14.96/4.23 |
% 14.96/4.23 | Applying alpha-rule on (195) yields:
% 14.96/4.23 | (196) activity(all_391_0_152)
% 14.96/4.23 | (197) occurrence_of(all_123_0_44, all_391_0_152)
% 14.96/4.23 |
% 14.96/4.23 | Instantiating formula (10) with all_391_0_152, tptp3, all_123_0_44 and discharging atoms occurrence_of(all_123_0_44, all_391_0_152), occurrence_of(all_123_0_44, tptp3), yields:
% 14.96/4.23 | (198) all_391_0_152 = tptp3
% 14.96/4.23 |
% 14.96/4.23 | From (198) and (197) follows:
% 14.96/4.23 | (143) occurrence_of(all_123_0_44, tptp3)
% 14.96/4.23 |
% 14.96/4.23 +-Applying beta-rule and splitting (158), into two cases.
% 14.96/4.23 |-Branch one:
% 14.96/4.23 | (200) min_precedes(all_25_0_7, all_123_0_44, tptp0)
% 14.96/4.23 |
% 14.96/4.23 | Instantiating formula (42) with all_123_0_44, tptp0, all_25_0_7 and discharging atoms leaf(all_25_0_7, tptp0), min_precedes(all_25_0_7, all_123_0_44, tptp0), yields:
% 14.96/4.23 | (201) $false
% 14.96/4.23 |
% 14.96/4.23 |-The branch is then unsatisfiable
% 14.96/4.23 |-Branch two:
% 14.96/4.23 | (202) ~ min_precedes(all_25_0_7, all_123_0_44, tptp0)
% 14.96/4.23 | (203) all_123_0_44 = all_25_0_7
% 14.96/4.23 |
% 14.96/4.23 | From (203) and (143) follows:
% 14.96/4.23 | (204) occurrence_of(all_25_0_7, tptp3)
% 14.96/4.23 |
% 14.96/4.23 | Instantiating formula (10) with tptp3, tptp1, all_25_0_7 and discharging atoms occurrence_of(all_25_0_7, tptp1), occurrence_of(all_25_0_7, tptp3), yields:
% 14.96/4.23 | (205) tptp1 = tptp3
% 14.96/4.23 |
% 14.96/4.23 | Equations (205) can reduce 4 to:
% 14.96/4.23 | (206) $false
% 14.96/4.23 |
% 14.96/4.23 |-The branch is then unsatisfiable
% 14.96/4.23 |-Branch two:
% 14.96/4.23 | (207) ~ leaf(all_25_0_7, tptp0)
% 14.96/4.23 | (208) ? [v0] : min_precedes(all_25_0_7, v0, tptp0)
% 14.96/4.23 |
% 14.96/4.23 +-Applying beta-rule and splitting (156), into two cases.
% 14.96/4.23 |-Branch one:
% 14.96/4.23 | (193) leaf(all_25_0_7, tptp0)
% 14.96/4.23 |
% 14.96/4.23 | Using (193) and (207) yields:
% 14.96/4.23 | (201) $false
% 14.96/4.23 |
% 14.96/4.23 |-The branch is then unsatisfiable
% 14.96/4.23 |-Branch two:
% 14.96/4.23 | (207) ~ leaf(all_25_0_7, tptp0)
% 14.96/4.23 | (208) ? [v0] : min_precedes(all_25_0_7, v0, tptp0)
% 14.96/4.23 |
% 14.96/4.23 +-Applying beta-rule and splitting (156), into two cases.
% 14.96/4.23 |-Branch one:
% 14.96/4.23 | (193) leaf(all_25_0_7, tptp0)
% 14.96/4.23 |
% 14.96/4.23 | Using (193) and (207) yields:
% 14.96/4.23 | (201) $false
% 14.96/4.23 |
% 14.96/4.23 |-The branch is then unsatisfiable
% 14.96/4.23 |-Branch two:
% 14.96/4.23 | (207) ~ leaf(all_25_0_7, tptp0)
% 14.96/4.23 | (208) ? [v0] : min_precedes(all_25_0_7, v0, tptp0)
% 14.96/4.23 |
% 14.96/4.23 | Instantiating formula (43) with all_139_0_53 and discharging atoms activity_occurrence(all_139_0_53), yields:
% 14.96/4.24 | (217) ? [v0] : (activity(v0) & occurrence_of(all_139_0_53, v0))
% 14.96/4.24 |
% 14.96/4.24 | Instantiating formula (57) with tptp0, all_139_0_53, all_125_0_46 and discharging atoms subactivity_occurrence(all_125_0_46, all_139_0_53), root(all_125_0_46, tptp0), occurrence_of(all_139_0_53, tptp0), yields:
% 14.96/4.24 | (218) root_occ(all_125_0_46, all_139_0_53)
% 14.96/4.24 |
% 14.96/4.24 | Instantiating formula (57) with tptp0, all_139_0_53, all_213_0_84 and discharging atoms subactivity_occurrence(all_213_0_84, all_139_0_53), root(all_213_0_84, tptp0), occurrence_of(all_139_0_53, tptp0), yields:
% 14.96/4.24 | (219) root_occ(all_213_0_84, all_139_0_53)
% 14.96/4.24 |
% 14.96/4.24 | Instantiating (217) with all_348_0_201 yields:
% 14.96/4.24 | (220) activity(all_348_0_201) & occurrence_of(all_139_0_53, all_348_0_201)
% 14.96/4.24 |
% 14.96/4.24 | Applying alpha-rule on (220) yields:
% 14.96/4.24 | (221) activity(all_348_0_201)
% 14.96/4.24 | (222) occurrence_of(all_139_0_53, all_348_0_201)
% 14.96/4.24 |
% 14.96/4.24 | Instantiating formula (53) with all_348_0_201, all_139_0_53, all_9_0_1, all_213_0_84 and discharging atoms root_occ(all_213_0_84, all_139_0_53), root_occ(all_9_0_1, all_139_0_53), occurrence_of(all_139_0_53, all_348_0_201), yields:
% 14.96/4.24 | (223) all_213_0_84 = all_9_0_1
% 14.96/4.24 |
% 14.96/4.24 | Instantiating formula (53) with all_348_0_201, all_139_0_53, all_213_0_84, all_125_0_46 and discharging atoms root_occ(all_213_0_84, all_139_0_53), root_occ(all_125_0_46, all_139_0_53), occurrence_of(all_139_0_53, all_348_0_201), yields:
% 14.96/4.24 | (224) all_213_0_84 = all_125_0_46
% 14.96/4.24 |
% 14.96/4.24 | Combining equations (224,223) yields a new equation:
% 14.96/4.24 | (225) all_125_0_46 = all_9_0_1
% 14.96/4.24 |
% 14.96/4.24 | Simplifying 225 yields:
% 14.96/4.24 | (226) all_125_0_46 = all_9_0_1
% 14.96/4.24 |
% 14.96/4.24 | From (226) and (146) follows:
% 14.96/4.24 | (105) min_precedes(all_9_0_1, all_25_0_7, tptp0)
% 14.96/4.24 |
% 14.96/4.24 +-Applying beta-rule and splitting (158), into two cases.
% 14.96/4.24 |-Branch one:
% 14.96/4.24 | (200) min_precedes(all_25_0_7, all_123_0_44, tptp0)
% 14.96/4.24 |
% 14.96/4.24 | Instantiating formula (29) with all_25_0_7, tptp0, all_123_0_44, all_9_0_1 and discharging atoms next_subocc(all_9_0_1, all_123_0_44, tptp0), min_precedes(all_25_0_7, all_123_0_44, tptp0), min_precedes(all_9_0_1, all_25_0_7, tptp0), yields:
% 14.96/4.24 | (201) $false
% 14.96/4.24 |
% 14.96/4.24 |-The branch is then unsatisfiable
% 14.96/4.24 |-Branch two:
% 14.96/4.24 | (202) ~ min_precedes(all_25_0_7, all_123_0_44, tptp0)
% 14.96/4.24 | (203) all_123_0_44 = all_25_0_7
% 14.96/4.24 |
% 14.96/4.24 | From (203) and (191) follows:
% 14.96/4.24 | (193) leaf(all_25_0_7, tptp0)
% 14.96/4.24 |
% 14.96/4.24 | Using (193) and (207) yields:
% 14.96/4.24 | (201) $false
% 14.96/4.24 |
% 14.96/4.24 |-The branch is then unsatisfiable
% 14.96/4.24 % SZS output end Proof for theBenchmark
% 14.96/4.24
% 14.96/4.24 3641ms
%------------------------------------------------------------------------------