TSTP Solution File: PRO009+4 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PRO009+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n016.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 10.11s 3.12s
% Output : Proof 13.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO009+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 03:41:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.52/0.58 ____ _
% 0.52/0.58 ___ / __ \_____(_)___ ________ __________
% 0.52/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.58
% 0.52/0.58 A Theorem Prover for First-Order Logic
% 0.52/0.58 (ePrincess v.1.0)
% 0.52/0.58
% 0.52/0.58 (c) Philipp Rümmer, 2009-2015
% 0.52/0.58 (c) Peter Backeman, 2014-2015
% 0.52/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.58 Bug reports to peter@backeman.se
% 0.52/0.58
% 0.52/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.58
% 0.52/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.52/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.80/0.98 Prover 0: Preprocessing ...
% 2.39/1.21 Prover 0: Constructing countermodel ...
% 10.11/3.12 Prover 0: proved (2488ms)
% 10.11/3.12
% 10.11/3.12 No countermodel exists, formula is valid
% 10.11/3.12 % SZS status Theorem for theBenchmark
% 10.11/3.12
% 10.11/3.12 Generating proof ... found it (size 251)
% 12.82/3.73
% 12.82/3.73 % SZS output start Proof for theBenchmark
% 12.82/3.73 Assumed formulas after preprocessing and simplification:
% 12.82/3.73 | (0) ? [v0] : ( ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & activity(tptp0) & atomic(tptp1) & atomic(tptp2) & atomic(tptp4) & atomic(tptp3) & 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] : ( ~ min_precedes(v1, v2, tptp0) | ~ leaf_occ(v2, v0) | ~ root_occ(v1, v0) | ~ occurrence_of(v2, tptp1) | ~ occurrence_of(v1, tptp3)) & ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, tptp0) | ~ leaf_occ(v2, v0) | ~ root_occ(v1, v0) | ~ occurrence_of(v2, tptp2) | ~ occurrence_of(v1, tptp3)) & ! [v1] : ! [v2] : ( ~ leaf_occ(v1, v2) | ? [v3] : (leaf(v1, v3) & subactivity_occurrence(v1, v2) & occurrence_of(v2, v3))) & ! [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] : ? [v4] : (next_subocc(v3, v4, tptp0) & next_subocc(v2, v3, tptp0) & leaf_occ(v4, v1) & root_occ(v2, v1) & occurrence_of(v3, tptp4) & occurrence_of(v2, tptp3) & (occurrence_of(v4, tptp1) | occurrence_of(v4, tptp2)))))
% 13.21/3.76 | Instantiating (0) with all_0_0_0 yields:
% 13.21/3.76 | (1) ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & activity(tptp0) & atomic(tptp1) & atomic(tptp2) & atomic(tptp4) & atomic(tptp3) & 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] : ( ~ min_precedes(v0, v1, tptp0) | ~ leaf_occ(v1, all_0_0_0) | ~ root_occ(v0, all_0_0_0) | ~ occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3)) & ! [v0] : ! [v1] : ( ~ min_precedes(v0, v1, tptp0) | ~ leaf_occ(v1, all_0_0_0) | ~ root_occ(v0, all_0_0_0) | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0, tptp3)) & ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2))) & ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2))) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0)) & ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (atocc(v1, v2) & subactivity(v2, v0))) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0)) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1)) & ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0))) & ! [v0] : ( ~ legal(v0) | arboreal(v0)) & ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1))) & ! [v0] : ( ~ occurrence_of(v0, tptp0) | ? [v1] : ? [v2] : ? [v3] : (next_subocc(v2, v3, tptp0) & next_subocc(v1, v2, tptp0) & leaf_occ(v3, v0) & root_occ(v1, v0) & occurrence_of(v2, tptp4) & occurrence_of(v1, tptp3) & (occurrence_of(v3, tptp1) | occurrence_of(v3, tptp2))))
% 13.21/3.77 |
% 13.21/3.77 | Applying alpha-rule on (1) yields:
% 13.21/3.77 | (2) ~ (tptp1 = tptp2)
% 13.21/3.77 | (3) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1))
% 13.21/3.77 | (4) ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2)))
% 13.21/3.77 | (5) ! [v0] : ! [v1] : ( ~ min_precedes(v0, v1, tptp0) | ~ leaf_occ(v1, all_0_0_0) | ~ root_occ(v0, all_0_0_0) | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0, tptp3))
% 13.21/3.77 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0)))
% 13.21/3.77 | (7) ! [v0] : ! [v1] : ( ~ earlier(v0, v1) | ~ legal(v1) | precedes(v0, v1))
% 13.21/3.77 | (8) ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2)))
% 13.21/3.77 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v3, v1, v2) | ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2))
% 13.21/3.77 | (10) atomic(tptp2)
% 13.21/3.77 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1))
% 13.21/3.77 | (12) activity(tptp0)
% 13.21/3.77 | (13) ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (atocc(v1, v2) & subactivity(v2, v0)))
% 13.21/3.77 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2))
% 13.21/3.77 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2)))
% 13.21/3.77 | (16) ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0))
% 13.21/3.77 | (17) ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0))
% 13.21/3.77 | (18) ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1))
% 13.21/3.78 | (19) ~ (tptp1 = tptp3)
% 13.21/3.78 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v2) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, v2) | leaf_occ(v0, v1))
% 13.21/3.78 | (21) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1))
% 13.21/3.78 | (22) ~ (tptp1 = tptp4)
% 13.21/3.78 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1))
% 13.21/3.78 | (24) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1))
% 13.21/3.78 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1))
% 13.21/3.78 | (26) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0))
% 13.21/3.78 | (27) atomic(tptp4)
% 13.21/3.78 | (28) ! [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))
% 13.21/3.78 | (29) ~ atomic(tptp0)
% 13.21/3.78 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ~ root(v1, v2))
% 13.21/3.78 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v2) | ~ leaf_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v3, v0))
% 13.21/3.78 | (32) occurrence_of(all_0_0_0, tptp0)
% 13.21/3.78 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ leaf_occ(v1, v2) | ~ leaf_occ(v0, v2) | ~ occurrence_of(v2, v3) | atomic(v3))
% 13.21/3.78 | (34) ~ (tptp2 = tptp4)
% 13.21/3.78 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v0, v1, v2) | ~ min_precedes(v3, v1, v2) | ~ min_precedes(v0, v3, v2))
% 13.21/3.78 | (36) ! [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))
% 13.21/3.78 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1))
% 13.21/3.78 | (38) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) | ? [v2] : min_precedes(v2, v0, v1))
% 13.21/3.78 | (39) ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1))
% 13.21/3.78 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & root(v3, v2)))
% 13.21/3.78 | (41) ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ occurrence_of(v0, v1) | atomic(v1))
% 13.21/3.78 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v1) | ~ min_precedes(v0, v2, v1))
% 13.21/3.78 | (43) ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1)))
% 13.21/3.78 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v0, v1, v2) | ~ subactivity_occurrence(v1, v3) | ~ occurrence_of(v3, v2) | subactivity_occurrence(v0, v3))
% 13.21/3.78 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1))
% 13.21/3.78 | (46) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0))
% 13.21/3.78 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0))
% 13.21/3.78 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v3, v2) | ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2))
% 13.21/3.78 | (49) ! [v0] : ! [v1] : ( ~ min_precedes(v0, v1, tptp0) | ~ leaf_occ(v1, all_0_0_0) | ~ root_occ(v0, all_0_0_0) | ~ occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3))
% 13.21/3.78 | (50) atomic(tptp3)
% 13.21/3.78 | (51) ! [v0] : ( ~ occurrence_of(v0, tptp0) | ? [v1] : ? [v2] : ? [v3] : (next_subocc(v2, v3, tptp0) & next_subocc(v1, v2, tptp0) & leaf_occ(v3, v0) & root_occ(v1, v0) & occurrence_of(v2, tptp4) & occurrence_of(v1, tptp3) & (occurrence_of(v3, tptp1) | occurrence_of(v3, tptp2))))
% 13.21/3.78 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ earlier(v0, v1) | earlier(v0, v2))
% 13.21/3.78 | (53) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0)))
% 13.21/3.78 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ root_occ(v1, v2) | ~ root_occ(v0, v2) | ~ occurrence_of(v2, v3))
% 13.21/3.78 | (55) ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2)))
% 13.21/3.78 | (56) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1))
% 13.21/3.79 | (57) ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 13.21/3.79 | (58) ~ (tptp2 = tptp3)
% 13.21/3.79 | (59) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) | ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1)))
% 13.21/3.79 | (60) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1))
% 13.21/3.79 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ precedes(v1, v2) | ~ min_precedes(v0, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v1, v2, v3))
% 13.35/3.79 | (62) atomic(tptp1)
% 13.35/3.79 | (63) ~ (tptp4 = tptp3)
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (51) with all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, tptp0), yields:
% 13.35/3.79 | (64) ? [v0] : ? [v1] : ? [v2] : (next_subocc(v1, v2, tptp0) & next_subocc(v0, v1, tptp0) & leaf_occ(v2, all_0_0_0) & root_occ(v0, all_0_0_0) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (60) with all_0_0_0, tptp0 and discharging atoms occurrence_of(all_0_0_0, tptp0), yields:
% 13.35/3.79 | (65) activity_occurrence(all_0_0_0)
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (53) with all_0_0_0, tptp0 and discharging atoms occurrence_of(all_0_0_0, tptp0), ~ atomic(tptp0), yields:
% 13.35/3.79 | (66) ? [v0] : (subactivity_occurrence(v0, all_0_0_0) & root(v0, tptp0))
% 13.35/3.79 |
% 13.35/3.79 | Instantiating (66) with all_9_0_1 yields:
% 13.35/3.79 | (67) subactivity_occurrence(all_9_0_1, all_0_0_0) & root(all_9_0_1, tptp0)
% 13.35/3.79 |
% 13.35/3.79 | Applying alpha-rule on (67) yields:
% 13.35/3.79 | (68) subactivity_occurrence(all_9_0_1, all_0_0_0)
% 13.35/3.79 | (69) root(all_9_0_1, tptp0)
% 13.35/3.79 |
% 13.35/3.79 | Instantiating (64) with all_11_0_2, all_11_1_3, all_11_2_4 yields:
% 13.35/3.79 | (70) next_subocc(all_11_1_3, all_11_0_2, tptp0) & next_subocc(all_11_2_4, all_11_1_3, tptp0) & leaf_occ(all_11_0_2, all_0_0_0) & root_occ(all_11_2_4, all_0_0_0) & occurrence_of(all_11_1_3, tptp4) & occurrence_of(all_11_2_4, tptp3) & (occurrence_of(all_11_0_2, tptp1) | occurrence_of(all_11_0_2, tptp2))
% 13.35/3.79 |
% 13.35/3.79 | Applying alpha-rule on (70) yields:
% 13.35/3.79 | (71) leaf_occ(all_11_0_2, all_0_0_0)
% 13.35/3.79 | (72) occurrence_of(all_11_1_3, tptp4)
% 13.35/3.79 | (73) next_subocc(all_11_1_3, all_11_0_2, tptp0)
% 13.35/3.79 | (74) next_subocc(all_11_2_4, all_11_1_3, tptp0)
% 13.35/3.79 | (75) occurrence_of(all_11_0_2, tptp1) | occurrence_of(all_11_0_2, tptp2)
% 13.35/3.79 | (76) occurrence_of(all_11_2_4, tptp3)
% 13.35/3.79 | (77) root_occ(all_11_2_4, all_0_0_0)
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (14) with tptp0, all_11_0_2, all_11_1_3 and discharging atoms next_subocc(all_11_1_3, all_11_0_2, tptp0), yields:
% 13.35/3.79 | (78) min_precedes(all_11_1_3, all_11_0_2, tptp0)
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (14) with tptp0, all_11_1_3, all_11_2_4 and discharging atoms next_subocc(all_11_2_4, all_11_1_3, tptp0), yields:
% 13.35/3.79 | (79) min_precedes(all_11_2_4, all_11_1_3, tptp0)
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (43) with all_0_0_0 and discharging atoms activity_occurrence(all_0_0_0), yields:
% 13.35/3.79 | (80) ? [v0] : (activity(v0) & occurrence_of(all_0_0_0, v0))
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (4) with all_0_0_0, all_11_0_2 and discharging atoms leaf_occ(all_11_0_2, all_0_0_0), yields:
% 13.35/3.79 | (81) ? [v0] : (leaf(all_11_0_2, v0) & subactivity_occurrence(all_11_0_2, all_0_0_0) & occurrence_of(all_0_0_0, v0))
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (8) with all_0_0_0, all_11_2_4 and discharging atoms root_occ(all_11_2_4, all_0_0_0), yields:
% 13.35/3.79 | (82) ? [v0] : (subactivity_occurrence(all_11_2_4, all_0_0_0) & root(all_11_2_4, v0) & occurrence_of(all_0_0_0, v0))
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (56) with tptp0, all_0_0_0, all_9_0_1 and discharging atoms subactivity_occurrence(all_9_0_1, all_0_0_0), root(all_9_0_1, tptp0), occurrence_of(all_0_0_0, tptp0), yields:
% 13.35/3.79 | (83) root_occ(all_9_0_1, all_0_0_0)
% 13.35/3.79 |
% 13.35/3.79 | Instantiating (82) with all_19_0_5 yields:
% 13.35/3.79 | (84) subactivity_occurrence(all_11_2_4, all_0_0_0) & root(all_11_2_4, all_19_0_5) & occurrence_of(all_0_0_0, all_19_0_5)
% 13.35/3.79 |
% 13.35/3.79 | Applying alpha-rule on (84) yields:
% 13.35/3.79 | (85) subactivity_occurrence(all_11_2_4, all_0_0_0)
% 13.35/3.79 | (86) root(all_11_2_4, all_19_0_5)
% 13.35/3.79 | (87) occurrence_of(all_0_0_0, all_19_0_5)
% 13.35/3.79 |
% 13.35/3.79 | Instantiating (81) with all_23_0_7 yields:
% 13.35/3.79 | (88) leaf(all_11_0_2, all_23_0_7) & subactivity_occurrence(all_11_0_2, all_0_0_0) & occurrence_of(all_0_0_0, all_23_0_7)
% 13.35/3.79 |
% 13.35/3.79 | Applying alpha-rule on (88) yields:
% 13.35/3.79 | (89) leaf(all_11_0_2, all_23_0_7)
% 13.35/3.79 | (90) subactivity_occurrence(all_11_0_2, all_0_0_0)
% 13.35/3.79 | (91) occurrence_of(all_0_0_0, all_23_0_7)
% 13.35/3.79 |
% 13.35/3.79 | Instantiating (80) with all_25_0_8 yields:
% 13.35/3.79 | (92) activity(all_25_0_8) & occurrence_of(all_0_0_0, all_25_0_8)
% 13.35/3.79 |
% 13.35/3.79 | Applying alpha-rule on (92) yields:
% 13.35/3.79 | (93) activity(all_25_0_8)
% 13.35/3.79 | (94) occurrence_of(all_0_0_0, all_25_0_8)
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (11) with all_25_0_8, tptp0, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_25_0_8), occurrence_of(all_0_0_0, tptp0), yields:
% 13.35/3.79 | (95) all_25_0_8 = tptp0
% 13.35/3.79 |
% 13.35/3.79 | Instantiating formula (11) with all_23_0_7, all_25_0_8, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_25_0_8), occurrence_of(all_0_0_0, all_23_0_7), yields:
% 13.35/3.80 | (96) all_25_0_8 = all_23_0_7
% 13.35/3.80 |
% 13.35/3.80 | Instantiating formula (54) with all_19_0_5, all_0_0_0, all_11_2_4, all_9_0_1 and discharging atoms root_occ(all_11_2_4, all_0_0_0), root_occ(all_9_0_1, all_0_0_0), occurrence_of(all_0_0_0, all_19_0_5), yields:
% 13.35/3.80 | (97) all_11_2_4 = all_9_0_1
% 13.35/3.80 |
% 13.35/3.80 | Instantiating formula (11) with all_19_0_5, all_25_0_8, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_25_0_8), occurrence_of(all_0_0_0, all_19_0_5), yields:
% 13.35/3.80 | (98) all_25_0_8 = all_19_0_5
% 13.35/3.80 |
% 13.35/3.80 | Combining equations (98,96) yields a new equation:
% 13.35/3.80 | (99) all_23_0_7 = all_19_0_5
% 13.35/3.80 |
% 13.35/3.80 | Combining equations (95,96) yields a new equation:
% 13.35/3.80 | (100) all_23_0_7 = tptp0
% 13.35/3.80 |
% 13.35/3.80 | Combining equations (100,99) yields a new equation:
% 13.35/3.80 | (101) all_19_0_5 = tptp0
% 13.35/3.80 |
% 13.35/3.80 | Combining equations (101,99) yields a new equation:
% 13.35/3.80 | (100) all_23_0_7 = tptp0
% 13.35/3.80 |
% 13.35/3.80 | From (100) and (89) follows:
% 13.35/3.80 | (103) leaf(all_11_0_2, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | From (97) and (79) follows:
% 13.35/3.80 | (104) min_precedes(all_9_0_1, all_11_1_3, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | From (97) and (77) follows:
% 13.35/3.80 | (83) root_occ(all_9_0_1, all_0_0_0)
% 13.35/3.80 |
% 13.35/3.80 | From (101) and (87) follows:
% 13.35/3.80 | (32) occurrence_of(all_0_0_0, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | Instantiating formula (59) with tptp0, all_11_0_2 and discharging atoms leaf(all_11_0_2, tptp0), ~ atomic(tptp0), yields:
% 13.35/3.80 | (107) ? [v0] : (leaf_occ(all_11_0_2, v0) & occurrence_of(v0, tptp0))
% 13.35/3.80 |
% 13.35/3.80 | Instantiating formula (6) with all_11_0_2, all_11_1_3, tptp0 and discharging atoms min_precedes(all_11_1_3, all_11_0_2, tptp0), yields:
% 13.35/3.80 | (108) ? [v0] : (subactivity_occurrence(all_11_0_2, v0) & subactivity_occurrence(all_11_1_3, v0) & occurrence_of(v0, tptp0))
% 13.35/3.80 |
% 13.35/3.80 | Instantiating formula (40) with tptp0, all_11_0_2, all_11_1_3 and discharging atoms min_precedes(all_11_1_3, all_11_0_2, tptp0), yields:
% 13.35/3.80 | (109) ? [v0] : (min_precedes(v0, all_11_0_2, tptp0) & root(v0, tptp0))
% 13.35/3.80 |
% 13.35/3.80 | Instantiating formula (6) with all_11_1_3, all_9_0_1, tptp0 and discharging atoms min_precedes(all_9_0_1, all_11_1_3, tptp0), yields:
% 13.35/3.80 | (110) ? [v0] : (subactivity_occurrence(all_11_1_3, v0) & subactivity_occurrence(all_9_0_1, v0) & occurrence_of(v0, tptp0))
% 13.35/3.80 |
% 13.35/3.80 | Instantiating formula (40) with tptp0, all_11_1_3, all_9_0_1 and discharging atoms min_precedes(all_9_0_1, all_11_1_3, tptp0), yields:
% 13.35/3.80 | (111) ? [v0] : (min_precedes(v0, all_11_1_3, tptp0) & root(v0, tptp0))
% 13.35/3.80 |
% 13.35/3.80 | 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:
% 13.35/3.80 | (112) ? [v0] : (subactivity_occurrence(all_9_0_1, all_0_0_0) & root(all_9_0_1, v0) & occurrence_of(all_0_0_0, v0))
% 13.35/3.80 |
% 13.35/3.80 | Instantiating formula (44) with all_0_0_0, tptp0, all_11_0_2, all_11_1_3 and discharging atoms min_precedes(all_11_1_3, all_11_0_2, tptp0), subactivity_occurrence(all_11_0_2, all_0_0_0), occurrence_of(all_0_0_0, tptp0), yields:
% 13.35/3.80 | (113) subactivity_occurrence(all_11_1_3, all_0_0_0)
% 13.35/3.80 |
% 13.35/3.80 | Instantiating (110) with all_37_0_9 yields:
% 13.35/3.80 | (114) subactivity_occurrence(all_11_1_3, all_37_0_9) & subactivity_occurrence(all_9_0_1, all_37_0_9) & occurrence_of(all_37_0_9, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | Applying alpha-rule on (114) yields:
% 13.35/3.80 | (115) subactivity_occurrence(all_11_1_3, all_37_0_9)
% 13.35/3.80 | (116) subactivity_occurrence(all_9_0_1, all_37_0_9)
% 13.35/3.80 | (117) occurrence_of(all_37_0_9, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | Instantiating (112) with all_39_0_10 yields:
% 13.35/3.80 | (118) subactivity_occurrence(all_9_0_1, all_0_0_0) & root(all_9_0_1, all_39_0_10) & occurrence_of(all_0_0_0, all_39_0_10)
% 13.35/3.80 |
% 13.35/3.80 | Applying alpha-rule on (118) yields:
% 13.35/3.80 | (68) subactivity_occurrence(all_9_0_1, all_0_0_0)
% 13.35/3.80 | (120) root(all_9_0_1, all_39_0_10)
% 13.35/3.80 | (121) occurrence_of(all_0_0_0, all_39_0_10)
% 13.35/3.80 |
% 13.35/3.80 | Instantiating (111) with all_41_0_11 yields:
% 13.35/3.80 | (122) min_precedes(all_41_0_11, all_11_1_3, tptp0) & root(all_41_0_11, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | Applying alpha-rule on (122) yields:
% 13.35/3.80 | (123) min_precedes(all_41_0_11, all_11_1_3, tptp0)
% 13.35/3.80 | (124) root(all_41_0_11, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | Instantiating (107) with all_45_0_13 yields:
% 13.35/3.80 | (125) leaf_occ(all_11_0_2, all_45_0_13) & occurrence_of(all_45_0_13, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | Applying alpha-rule on (125) yields:
% 13.35/3.80 | (126) leaf_occ(all_11_0_2, all_45_0_13)
% 13.35/3.80 | (127) occurrence_of(all_45_0_13, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | Instantiating (108) with all_49_0_15 yields:
% 13.35/3.80 | (128) subactivity_occurrence(all_11_0_2, all_49_0_15) & subactivity_occurrence(all_11_1_3, all_49_0_15) & occurrence_of(all_49_0_15, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | Applying alpha-rule on (128) yields:
% 13.35/3.80 | (129) subactivity_occurrence(all_11_0_2, all_49_0_15)
% 13.35/3.80 | (130) subactivity_occurrence(all_11_1_3, all_49_0_15)
% 13.35/3.80 | (131) occurrence_of(all_49_0_15, tptp0)
% 13.35/3.80 |
% 13.35/3.80 | Instantiating (109) with all_53_0_17 yields:
% 13.35/3.81 | (132) min_precedes(all_53_0_17, all_11_0_2, tptp0) & root(all_53_0_17, tptp0)
% 13.35/3.81 |
% 13.35/3.81 | Applying alpha-rule on (132) yields:
% 13.35/3.81 | (133) min_precedes(all_53_0_17, all_11_0_2, tptp0)
% 13.35/3.81 | (134) root(all_53_0_17, tptp0)
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (11) with all_39_0_10, tptp0, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_39_0_10), occurrence_of(all_0_0_0, tptp0), yields:
% 13.35/3.81 | (135) all_39_0_10 = tptp0
% 13.35/3.81 |
% 13.35/3.81 | From (135) and (120) follows:
% 13.35/3.81 | (69) root(all_9_0_1, tptp0)
% 13.35/3.81 |
% 13.35/3.81 | From (135) and (121) follows:
% 13.35/3.81 | (32) occurrence_of(all_0_0_0, tptp0)
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (40) with tptp0, all_11_0_2, all_53_0_17 and discharging atoms min_precedes(all_53_0_17, all_11_0_2, tptp0), yields:
% 13.35/3.81 | (109) ? [v0] : (min_precedes(v0, all_11_0_2, tptp0) & root(v0, tptp0))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (40) with tptp0, all_11_1_3, all_41_0_11 and discharging atoms min_precedes(all_41_0_11, all_11_1_3, tptp0), yields:
% 13.35/3.81 | (111) ? [v0] : (min_precedes(v0, all_11_1_3, tptp0) & root(v0, tptp0))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (4) with all_45_0_13, all_11_0_2 and discharging atoms leaf_occ(all_11_0_2, all_45_0_13), yields:
% 13.35/3.81 | (140) ? [v0] : (leaf(all_11_0_2, v0) & subactivity_occurrence(all_11_0_2, all_45_0_13) & occurrence_of(all_45_0_13, v0))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (13) with all_53_0_17, tptp0 and discharging atoms root(all_53_0_17, tptp0), yields:
% 13.35/3.81 | (141) ? [v0] : (atocc(all_53_0_17, v0) & subactivity(v0, tptp0))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (13) with all_41_0_11, tptp0 and discharging atoms root(all_41_0_11, tptp0), yields:
% 13.35/3.81 | (142) ? [v0] : (atocc(all_41_0_11, v0) & subactivity(v0, tptp0))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (44) with all_49_0_15, tptp0, all_11_1_3, all_9_0_1 and discharging atoms min_precedes(all_9_0_1, all_11_1_3, tptp0), subactivity_occurrence(all_11_1_3, all_49_0_15), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.81 | (143) subactivity_occurrence(all_9_0_1, all_49_0_15)
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (44) with all_49_0_15, tptp0, all_11_0_2, all_53_0_17 and discharging atoms min_precedes(all_53_0_17, all_11_0_2, tptp0), subactivity_occurrence(all_11_0_2, all_49_0_15), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.81 | (144) subactivity_occurrence(all_53_0_17, all_49_0_15)
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (44) with all_49_0_15, tptp0, all_11_1_3, all_41_0_11 and discharging atoms min_precedes(all_41_0_11, all_11_1_3, tptp0), subactivity_occurrence(all_11_1_3, all_49_0_15), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.81 | (145) subactivity_occurrence(all_41_0_11, all_49_0_15)
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (20) with tptp0, all_49_0_15, all_11_0_2 and discharging atoms leaf(all_11_0_2, tptp0), subactivity_occurrence(all_11_0_2, all_49_0_15), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.81 | (146) leaf_occ(all_11_0_2, all_49_0_15)
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (51) with all_49_0_15 and discharging atoms occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.81 | (147) ? [v0] : ? [v1] : ? [v2] : (next_subocc(v1, v2, tptp0) & next_subocc(v0, v1, tptp0) & leaf_occ(v2, all_49_0_15) & root_occ(v0, all_49_0_15) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (60) with all_49_0_15, tptp0 and discharging atoms occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.81 | (148) activity_occurrence(all_49_0_15)
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (53) with all_49_0_15, tptp0 and discharging atoms occurrence_of(all_49_0_15, tptp0), ~ atomic(tptp0), yields:
% 13.35/3.81 | (149) ? [v0] : (subactivity_occurrence(v0, all_49_0_15) & root(v0, tptp0))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (51) with all_45_0_13 and discharging atoms occurrence_of(all_45_0_13, tptp0), yields:
% 13.35/3.81 | (150) ? [v0] : ? [v1] : ? [v2] : (next_subocc(v1, v2, tptp0) & next_subocc(v0, v1, tptp0) & leaf_occ(v2, all_45_0_13) & root_occ(v0, all_45_0_13) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (60) with all_45_0_13, tptp0 and discharging atoms occurrence_of(all_45_0_13, tptp0), yields:
% 13.35/3.81 | (151) activity_occurrence(all_45_0_13)
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (53) with all_45_0_13, tptp0 and discharging atoms occurrence_of(all_45_0_13, tptp0), ~ atomic(tptp0), yields:
% 13.35/3.81 | (152) ? [v0] : (subactivity_occurrence(v0, all_45_0_13) & root(v0, tptp0))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (56) with tptp0, all_37_0_9, all_9_0_1 and discharging atoms subactivity_occurrence(all_9_0_1, all_37_0_9), root(all_9_0_1, tptp0), occurrence_of(all_37_0_9, tptp0), yields:
% 13.35/3.81 | (153) root_occ(all_9_0_1, all_37_0_9)
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (51) with all_37_0_9 and discharging atoms occurrence_of(all_37_0_9, tptp0), yields:
% 13.35/3.81 | (154) ? [v0] : ? [v1] : ? [v2] : (next_subocc(v1, v2, tptp0) & next_subocc(v0, v1, tptp0) & leaf_occ(v2, all_37_0_9) & root_occ(v0, all_37_0_9) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (60) with all_37_0_9, tptp0 and discharging atoms occurrence_of(all_37_0_9, tptp0), yields:
% 13.35/3.81 | (155) activity_occurrence(all_37_0_9)
% 13.35/3.81 |
% 13.35/3.81 | Instantiating formula (53) with all_37_0_9, tptp0 and discharging atoms occurrence_of(all_37_0_9, tptp0), ~ atomic(tptp0), yields:
% 13.35/3.81 | (156) ? [v0] : (subactivity_occurrence(v0, all_37_0_9) & root(v0, tptp0))
% 13.35/3.81 |
% 13.35/3.81 | Instantiating (142) with all_65_0_18 yields:
% 13.35/3.81 | (157) atocc(all_41_0_11, all_65_0_18) & subactivity(all_65_0_18, tptp0)
% 13.35/3.81 |
% 13.35/3.81 | Applying alpha-rule on (157) yields:
% 13.35/3.81 | (158) atocc(all_41_0_11, all_65_0_18)
% 13.35/3.81 | (159) subactivity(all_65_0_18, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating (141) with all_67_0_19 yields:
% 13.35/3.82 | (160) atocc(all_53_0_17, all_67_0_19) & subactivity(all_67_0_19, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Applying alpha-rule on (160) yields:
% 13.35/3.82 | (161) atocc(all_53_0_17, all_67_0_19)
% 13.35/3.82 | (162) subactivity(all_67_0_19, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating (140) with all_69_0_20 yields:
% 13.35/3.82 | (163) leaf(all_11_0_2, all_69_0_20) & subactivity_occurrence(all_11_0_2, all_45_0_13) & occurrence_of(all_45_0_13, all_69_0_20)
% 13.35/3.82 |
% 13.35/3.82 | Applying alpha-rule on (163) yields:
% 13.35/3.82 | (164) leaf(all_11_0_2, all_69_0_20)
% 13.35/3.82 | (165) subactivity_occurrence(all_11_0_2, all_45_0_13)
% 13.35/3.82 | (166) occurrence_of(all_45_0_13, all_69_0_20)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating (111) with all_75_0_23 yields:
% 13.35/3.82 | (167) min_precedes(all_75_0_23, all_11_1_3, tptp0) & root(all_75_0_23, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Applying alpha-rule on (167) yields:
% 13.35/3.82 | (168) min_precedes(all_75_0_23, all_11_1_3, tptp0)
% 13.35/3.82 | (169) root(all_75_0_23, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating (109) with all_79_0_25 yields:
% 13.35/3.82 | (170) min_precedes(all_79_0_25, all_11_0_2, tptp0) & root(all_79_0_25, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Applying alpha-rule on (170) yields:
% 13.35/3.82 | (171) min_precedes(all_79_0_25, all_11_0_2, tptp0)
% 13.35/3.82 | (172) root(all_79_0_25, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating (150) with all_81_0_26, all_81_1_27, all_81_2_28 yields:
% 13.35/3.82 | (173) next_subocc(all_81_1_27, all_81_0_26, tptp0) & next_subocc(all_81_2_28, all_81_1_27, tptp0) & leaf_occ(all_81_0_26, all_45_0_13) & root_occ(all_81_2_28, all_45_0_13) & occurrence_of(all_81_1_27, tptp4) & occurrence_of(all_81_2_28, tptp3) & (occurrence_of(all_81_0_26, tptp1) | occurrence_of(all_81_0_26, tptp2))
% 13.35/3.82 |
% 13.35/3.82 | Applying alpha-rule on (173) yields:
% 13.35/3.82 | (174) occurrence_of(all_81_2_28, tptp3)
% 13.35/3.82 | (175) occurrence_of(all_81_0_26, tptp1) | occurrence_of(all_81_0_26, tptp2)
% 13.35/3.82 | (176) next_subocc(all_81_1_27, all_81_0_26, tptp0)
% 13.35/3.82 | (177) next_subocc(all_81_2_28, all_81_1_27, tptp0)
% 13.35/3.82 | (178) root_occ(all_81_2_28, all_45_0_13)
% 13.35/3.82 | (179) leaf_occ(all_81_0_26, all_45_0_13)
% 13.35/3.82 | (180) occurrence_of(all_81_1_27, tptp4)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating (149) with all_83_0_29 yields:
% 13.35/3.82 | (181) subactivity_occurrence(all_83_0_29, all_49_0_15) & root(all_83_0_29, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Applying alpha-rule on (181) yields:
% 13.35/3.82 | (182) subactivity_occurrence(all_83_0_29, all_49_0_15)
% 13.35/3.82 | (183) root(all_83_0_29, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating (156) with all_85_0_30 yields:
% 13.35/3.82 | (184) subactivity_occurrence(all_85_0_30, all_37_0_9) & root(all_85_0_30, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Applying alpha-rule on (184) yields:
% 13.35/3.82 | (185) subactivity_occurrence(all_85_0_30, all_37_0_9)
% 13.35/3.82 | (186) root(all_85_0_30, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating (154) with all_87_0_31, all_87_1_32, all_87_2_33 yields:
% 13.35/3.82 | (187) next_subocc(all_87_1_32, all_87_0_31, tptp0) & next_subocc(all_87_2_33, all_87_1_32, tptp0) & leaf_occ(all_87_0_31, all_37_0_9) & root_occ(all_87_2_33, all_37_0_9) & occurrence_of(all_87_1_32, tptp4) & occurrence_of(all_87_2_33, tptp3) & (occurrence_of(all_87_0_31, tptp1) | occurrence_of(all_87_0_31, tptp2))
% 13.35/3.82 |
% 13.35/3.82 | Applying alpha-rule on (187) yields:
% 13.35/3.82 | (188) occurrence_of(all_87_2_33, tptp3)
% 13.35/3.82 | (189) leaf_occ(all_87_0_31, all_37_0_9)
% 13.35/3.82 | (190) next_subocc(all_87_2_33, all_87_1_32, tptp0)
% 13.35/3.82 | (191) occurrence_of(all_87_1_32, tptp4)
% 13.35/3.82 | (192) root_occ(all_87_2_33, all_37_0_9)
% 13.35/3.82 | (193) occurrence_of(all_87_0_31, tptp1) | occurrence_of(all_87_0_31, tptp2)
% 13.35/3.82 | (194) next_subocc(all_87_1_32, all_87_0_31, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating (147) with all_89_0_34, all_89_1_35, all_89_2_36 yields:
% 13.35/3.82 | (195) next_subocc(all_89_1_35, all_89_0_34, tptp0) & next_subocc(all_89_2_36, all_89_1_35, tptp0) & leaf_occ(all_89_0_34, all_49_0_15) & root_occ(all_89_2_36, all_49_0_15) & occurrence_of(all_89_1_35, tptp4) & occurrence_of(all_89_2_36, tptp3) & (occurrence_of(all_89_0_34, tptp1) | occurrence_of(all_89_0_34, tptp2))
% 13.35/3.82 |
% 13.35/3.82 | Applying alpha-rule on (195) yields:
% 13.35/3.82 | (196) occurrence_of(all_89_0_34, tptp1) | occurrence_of(all_89_0_34, tptp2)
% 13.35/3.82 | (197) root_occ(all_89_2_36, all_49_0_15)
% 13.35/3.82 | (198) occurrence_of(all_89_1_35, tptp4)
% 13.35/3.82 | (199) occurrence_of(all_89_2_36, tptp3)
% 13.35/3.82 | (200) next_subocc(all_89_1_35, all_89_0_34, tptp0)
% 13.35/3.82 | (201) next_subocc(all_89_2_36, all_89_1_35, tptp0)
% 13.35/3.82 | (202) leaf_occ(all_89_0_34, all_49_0_15)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating (152) with all_91_0_37 yields:
% 13.35/3.82 | (203) subactivity_occurrence(all_91_0_37, all_45_0_13) & root(all_91_0_37, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Applying alpha-rule on (203) yields:
% 13.35/3.82 | (204) subactivity_occurrence(all_91_0_37, all_45_0_13)
% 13.35/3.82 | (205) root(all_91_0_37, tptp0)
% 13.35/3.82 |
% 13.35/3.82 | Instantiating formula (54) with tptp0, all_37_0_9, all_9_0_1, all_87_2_33 and discharging atoms root_occ(all_87_2_33, all_37_0_9), root_occ(all_9_0_1, all_37_0_9), occurrence_of(all_37_0_9, tptp0), yields:
% 13.35/3.82 | (206) all_87_2_33 = all_9_0_1
% 13.35/3.82 |
% 13.35/3.82 | Instantiating formula (11) with all_69_0_20, tptp0, all_45_0_13 and discharging atoms occurrence_of(all_45_0_13, all_69_0_20), occurrence_of(all_45_0_13, tptp0), yields:
% 13.35/3.83 | (207) all_69_0_20 = tptp0
% 13.35/3.83 |
% 13.35/3.83 | From (206) and (192) follows:
% 13.35/3.83 | (153) root_occ(all_9_0_1, all_37_0_9)
% 13.35/3.83 |
% 13.35/3.83 | From (207) and (166) follows:
% 13.35/3.83 | (127) occurrence_of(all_45_0_13, tptp0)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (55) with all_67_0_19, all_53_0_17 and discharging atoms atocc(all_53_0_17, all_67_0_19), yields:
% 13.35/3.83 | (210) ? [v0] : (subactivity(all_67_0_19, v0) & atomic(v0) & occurrence_of(all_53_0_17, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (55) with all_65_0_18, all_41_0_11 and discharging atoms atocc(all_41_0_11, all_65_0_18), yields:
% 13.35/3.83 | (211) ? [v0] : (subactivity(all_65_0_18, v0) & atomic(v0) & occurrence_of(all_41_0_11, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (43) with all_49_0_15 and discharging atoms activity_occurrence(all_49_0_15), yields:
% 13.35/3.83 | (212) ? [v0] : (activity(v0) & occurrence_of(all_49_0_15, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (43) with all_45_0_13 and discharging atoms activity_occurrence(all_45_0_13), yields:
% 13.35/3.83 | (213) ? [v0] : (activity(v0) & occurrence_of(all_45_0_13, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (43) with all_37_0_9 and discharging atoms activity_occurrence(all_37_0_9), yields:
% 13.35/3.83 | (214) ? [v0] : (activity(v0) & occurrence_of(all_37_0_9, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (44) with all_49_0_15, tptp0, all_11_0_2, all_79_0_25 and discharging atoms min_precedes(all_79_0_25, all_11_0_2, tptp0), subactivity_occurrence(all_11_0_2, all_49_0_15), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.83 | (215) subactivity_occurrence(all_79_0_25, all_49_0_15)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (44) with all_49_0_15, tptp0, all_11_1_3, all_75_0_23 and discharging atoms min_precedes(all_75_0_23, all_11_1_3, tptp0), subactivity_occurrence(all_11_1_3, all_49_0_15), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.83 | (216) subactivity_occurrence(all_75_0_23, all_49_0_15)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (44) with all_0_0_0, tptp0, all_11_1_3, all_75_0_23 and discharging atoms min_precedes(all_75_0_23, all_11_1_3, tptp0), subactivity_occurrence(all_11_1_3, all_0_0_0), occurrence_of(all_0_0_0, tptp0), yields:
% 13.35/3.83 | (217) subactivity_occurrence(all_75_0_23, all_0_0_0)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (4) with all_49_0_15, all_89_0_34 and discharging atoms leaf_occ(all_89_0_34, all_49_0_15), yields:
% 13.35/3.83 | (218) ? [v0] : (leaf(all_89_0_34, v0) & subactivity_occurrence(all_89_0_34, all_49_0_15) & occurrence_of(all_49_0_15, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (4) with all_37_0_9, all_87_0_31 and discharging atoms leaf_occ(all_87_0_31, all_37_0_9), yields:
% 13.35/3.83 | (219) ? [v0] : (leaf(all_87_0_31, v0) & subactivity_occurrence(all_87_0_31, all_37_0_9) & occurrence_of(all_37_0_9, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (4) with all_45_0_13, all_81_0_26 and discharging atoms leaf_occ(all_81_0_26, all_45_0_13), yields:
% 13.35/3.83 | (220) ? [v0] : (leaf(all_81_0_26, v0) & subactivity_occurrence(all_81_0_26, all_45_0_13) & occurrence_of(all_45_0_13, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (4) with all_49_0_15, all_11_0_2 and discharging atoms leaf_occ(all_11_0_2, all_49_0_15), yields:
% 13.35/3.83 | (221) ? [v0] : (leaf(all_11_0_2, v0) & subactivity_occurrence(all_11_0_2, all_49_0_15) & occurrence_of(all_49_0_15, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (8) with all_49_0_15, all_89_2_36 and discharging atoms root_occ(all_89_2_36, all_49_0_15), yields:
% 13.35/3.83 | (222) ? [v0] : (subactivity_occurrence(all_89_2_36, all_49_0_15) & root(all_89_2_36, v0) & occurrence_of(all_49_0_15, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (8) with all_45_0_13, all_81_2_28 and discharging atoms root_occ(all_81_2_28, all_45_0_13), yields:
% 13.35/3.83 | (223) ? [v0] : (subactivity_occurrence(all_81_2_28, all_45_0_13) & root(all_81_2_28, v0) & occurrence_of(all_45_0_13, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (8) with all_37_0_9, all_9_0_1 and discharging atoms root_occ(all_9_0_1, all_37_0_9), yields:
% 13.35/3.83 | (224) ? [v0] : (subactivity_occurrence(all_9_0_1, all_37_0_9) & root(all_9_0_1, v0) & occurrence_of(all_37_0_9, v0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (56) with tptp0, all_49_0_15, all_53_0_17 and discharging atoms subactivity_occurrence(all_53_0_17, all_49_0_15), root(all_53_0_17, tptp0), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.83 | (225) root_occ(all_53_0_17, all_49_0_15)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (56) with tptp0, all_49_0_15, all_41_0_11 and discharging atoms subactivity_occurrence(all_41_0_11, all_49_0_15), root(all_41_0_11, tptp0), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.83 | (226) root_occ(all_41_0_11, all_49_0_15)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (44) with all_45_0_13, tptp0, all_11_0_2, all_53_0_17 and discharging atoms min_precedes(all_53_0_17, all_11_0_2, tptp0), subactivity_occurrence(all_11_0_2, all_45_0_13), occurrence_of(all_45_0_13, tptp0), yields:
% 13.35/3.83 | (227) subactivity_occurrence(all_53_0_17, all_45_0_13)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (44) with all_45_0_13, tptp0, all_11_0_2, all_79_0_25 and discharging atoms min_precedes(all_79_0_25, all_11_0_2, tptp0), subactivity_occurrence(all_11_0_2, all_45_0_13), occurrence_of(all_45_0_13, tptp0), yields:
% 13.35/3.83 | (228) subactivity_occurrence(all_79_0_25, all_45_0_13)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (56) with tptp0, all_49_0_15, all_9_0_1 and discharging atoms subactivity_occurrence(all_9_0_1, all_49_0_15), root(all_9_0_1, tptp0), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.83 | (229) root_occ(all_9_0_1, all_49_0_15)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (56) with tptp0, all_45_0_13, all_91_0_37 and discharging atoms subactivity_occurrence(all_91_0_37, all_45_0_13), root(all_91_0_37, tptp0), occurrence_of(all_45_0_13, tptp0), yields:
% 13.35/3.83 | (230) root_occ(all_91_0_37, all_45_0_13)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (56) with tptp0, all_37_0_9, all_85_0_30 and discharging atoms subactivity_occurrence(all_85_0_30, all_37_0_9), root(all_85_0_30, tptp0), occurrence_of(all_37_0_9, tptp0), yields:
% 13.35/3.83 | (231) root_occ(all_85_0_30, all_37_0_9)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (13) with all_85_0_30, tptp0 and discharging atoms root(all_85_0_30, tptp0), yields:
% 13.35/3.83 | (232) ? [v0] : (atocc(all_85_0_30, v0) & subactivity(v0, tptp0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (56) with tptp0, all_49_0_15, all_83_0_29 and discharging atoms subactivity_occurrence(all_83_0_29, all_49_0_15), root(all_83_0_29, tptp0), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.83 | (233) root_occ(all_83_0_29, all_49_0_15)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (13) with all_83_0_29, tptp0 and discharging atoms root(all_83_0_29, tptp0), yields:
% 13.35/3.83 | (234) ? [v0] : (atocc(all_83_0_29, v0) & subactivity(v0, tptp0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (13) with all_79_0_25, tptp0 and discharging atoms root(all_79_0_25, tptp0), yields:
% 13.35/3.83 | (235) ? [v0] : (atocc(all_79_0_25, v0) & subactivity(v0, tptp0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating formula (13) with all_75_0_23, tptp0 and discharging atoms root(all_75_0_23, tptp0), yields:
% 13.35/3.83 | (236) ? [v0] : (atocc(all_75_0_23, v0) & subactivity(v0, tptp0))
% 13.35/3.83 |
% 13.35/3.83 | Instantiating (224) with all_105_0_39 yields:
% 13.35/3.83 | (237) subactivity_occurrence(all_9_0_1, all_37_0_9) & root(all_9_0_1, all_105_0_39) & occurrence_of(all_37_0_9, all_105_0_39)
% 13.35/3.83 |
% 13.35/3.83 | Applying alpha-rule on (237) yields:
% 13.35/3.83 | (116) subactivity_occurrence(all_9_0_1, all_37_0_9)
% 13.35/3.83 | (239) root(all_9_0_1, all_105_0_39)
% 13.35/3.83 | (240) occurrence_of(all_37_0_9, all_105_0_39)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating (232) with all_115_0_48 yields:
% 13.35/3.83 | (241) atocc(all_85_0_30, all_115_0_48) & subactivity(all_115_0_48, tptp0)
% 13.35/3.83 |
% 13.35/3.83 | Applying alpha-rule on (241) yields:
% 13.35/3.83 | (242) atocc(all_85_0_30, all_115_0_48)
% 13.35/3.83 | (243) subactivity(all_115_0_48, tptp0)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating (236) with all_117_0_49 yields:
% 13.35/3.83 | (244) atocc(all_75_0_23, all_117_0_49) & subactivity(all_117_0_49, tptp0)
% 13.35/3.83 |
% 13.35/3.83 | Applying alpha-rule on (244) yields:
% 13.35/3.83 | (245) atocc(all_75_0_23, all_117_0_49)
% 13.35/3.83 | (246) subactivity(all_117_0_49, tptp0)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating (234) with all_119_0_50 yields:
% 13.35/3.83 | (247) atocc(all_83_0_29, all_119_0_50) & subactivity(all_119_0_50, tptp0)
% 13.35/3.83 |
% 13.35/3.83 | Applying alpha-rule on (247) yields:
% 13.35/3.83 | (248) atocc(all_83_0_29, all_119_0_50)
% 13.35/3.83 | (249) subactivity(all_119_0_50, tptp0)
% 13.35/3.83 |
% 13.35/3.83 | Instantiating (223) with all_121_0_51 yields:
% 13.35/3.83 | (250) subactivity_occurrence(all_81_2_28, all_45_0_13) & root(all_81_2_28, all_121_0_51) & occurrence_of(all_45_0_13, all_121_0_51)
% 13.35/3.83 |
% 13.35/3.83 | Applying alpha-rule on (250) yields:
% 13.35/3.83 | (251) subactivity_occurrence(all_81_2_28, all_45_0_13)
% 13.35/3.83 | (252) root(all_81_2_28, all_121_0_51)
% 13.35/3.83 | (253) occurrence_of(all_45_0_13, all_121_0_51)
% 13.35/3.83 |
% 13.35/3.84 | Instantiating (222) with all_123_0_52 yields:
% 13.35/3.84 | (254) subactivity_occurrence(all_89_2_36, all_49_0_15) & root(all_89_2_36, all_123_0_52) & occurrence_of(all_49_0_15, all_123_0_52)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (254) yields:
% 13.35/3.84 | (255) subactivity_occurrence(all_89_2_36, all_49_0_15)
% 13.35/3.84 | (256) root(all_89_2_36, all_123_0_52)
% 13.35/3.84 | (257) occurrence_of(all_49_0_15, all_123_0_52)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating (220) with all_125_0_53 yields:
% 13.35/3.84 | (258) leaf(all_81_0_26, all_125_0_53) & subactivity_occurrence(all_81_0_26, all_45_0_13) & occurrence_of(all_45_0_13, all_125_0_53)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (258) yields:
% 13.35/3.84 | (259) leaf(all_81_0_26, all_125_0_53)
% 13.35/3.84 | (260) subactivity_occurrence(all_81_0_26, all_45_0_13)
% 13.35/3.84 | (261) occurrence_of(all_45_0_13, all_125_0_53)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating (235) with all_131_0_56 yields:
% 13.35/3.84 | (262) atocc(all_79_0_25, all_131_0_56) & subactivity(all_131_0_56, tptp0)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (262) yields:
% 13.35/3.84 | (263) atocc(all_79_0_25, all_131_0_56)
% 13.35/3.84 | (264) subactivity(all_131_0_56, tptp0)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating (214) with all_133_0_57 yields:
% 13.35/3.84 | (265) activity(all_133_0_57) & occurrence_of(all_37_0_9, all_133_0_57)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (265) yields:
% 13.35/3.84 | (266) activity(all_133_0_57)
% 13.35/3.84 | (267) occurrence_of(all_37_0_9, all_133_0_57)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating (212) with all_135_0_58 yields:
% 13.35/3.84 | (268) activity(all_135_0_58) & occurrence_of(all_49_0_15, all_135_0_58)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (268) yields:
% 13.35/3.84 | (269) activity(all_135_0_58)
% 13.35/3.84 | (270) occurrence_of(all_49_0_15, all_135_0_58)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating (213) with all_137_0_59 yields:
% 13.35/3.84 | (271) activity(all_137_0_59) & occurrence_of(all_45_0_13, all_137_0_59)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (271) yields:
% 13.35/3.84 | (272) activity(all_137_0_59)
% 13.35/3.84 | (273) occurrence_of(all_45_0_13, all_137_0_59)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating (221) with all_139_0_60 yields:
% 13.35/3.84 | (274) leaf(all_11_0_2, all_139_0_60) & subactivity_occurrence(all_11_0_2, all_49_0_15) & occurrence_of(all_49_0_15, all_139_0_60)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (274) yields:
% 13.35/3.84 | (275) leaf(all_11_0_2, all_139_0_60)
% 13.35/3.84 | (129) subactivity_occurrence(all_11_0_2, all_49_0_15)
% 13.35/3.84 | (277) occurrence_of(all_49_0_15, all_139_0_60)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating (219) with all_141_0_61 yields:
% 13.35/3.84 | (278) leaf(all_87_0_31, all_141_0_61) & subactivity_occurrence(all_87_0_31, all_37_0_9) & occurrence_of(all_37_0_9, all_141_0_61)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (278) yields:
% 13.35/3.84 | (279) leaf(all_87_0_31, all_141_0_61)
% 13.35/3.84 | (280) subactivity_occurrence(all_87_0_31, all_37_0_9)
% 13.35/3.84 | (281) occurrence_of(all_37_0_9, all_141_0_61)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating (218) with all_145_0_63 yields:
% 13.35/3.84 | (282) leaf(all_89_0_34, all_145_0_63) & subactivity_occurrence(all_89_0_34, all_49_0_15) & occurrence_of(all_49_0_15, all_145_0_63)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (282) yields:
% 13.35/3.84 | (283) leaf(all_89_0_34, all_145_0_63)
% 13.35/3.84 | (284) subactivity_occurrence(all_89_0_34, all_49_0_15)
% 13.35/3.84 | (285) occurrence_of(all_49_0_15, all_145_0_63)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating (210) with all_147_0_64 yields:
% 13.35/3.84 | (286) subactivity(all_67_0_19, all_147_0_64) & atomic(all_147_0_64) & occurrence_of(all_53_0_17, all_147_0_64)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (286) yields:
% 13.35/3.84 | (287) subactivity(all_67_0_19, all_147_0_64)
% 13.35/3.84 | (288) atomic(all_147_0_64)
% 13.35/3.84 | (289) occurrence_of(all_53_0_17, all_147_0_64)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating (211) with all_149_0_65 yields:
% 13.35/3.84 | (290) subactivity(all_65_0_18, all_149_0_65) & atomic(all_149_0_65) & occurrence_of(all_41_0_11, all_149_0_65)
% 13.35/3.84 |
% 13.35/3.84 | Applying alpha-rule on (290) yields:
% 13.35/3.84 | (291) subactivity(all_65_0_18, all_149_0_65)
% 13.35/3.84 | (292) atomic(all_149_0_65)
% 13.35/3.84 | (293) occurrence_of(all_41_0_11, all_149_0_65)
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (11) with all_139_0_60, all_145_0_63, all_49_0_15 and discharging atoms occurrence_of(all_49_0_15, all_145_0_63), occurrence_of(all_49_0_15, all_139_0_60), yields:
% 13.35/3.84 | (294) all_145_0_63 = all_139_0_60
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (11) with all_135_0_58, tptp0, all_49_0_15 and discharging atoms occurrence_of(all_49_0_15, all_135_0_58), occurrence_of(all_49_0_15, tptp0), yields:
% 13.35/3.84 | (295) all_135_0_58 = tptp0
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (11) with all_135_0_58, all_139_0_60, all_49_0_15 and discharging atoms occurrence_of(all_49_0_15, all_139_0_60), occurrence_of(all_49_0_15, all_135_0_58), yields:
% 13.35/3.84 | (296) all_139_0_60 = all_135_0_58
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (54) with all_123_0_52, all_49_0_15, all_89_2_36, all_83_0_29 and discharging atoms root_occ(all_89_2_36, all_49_0_15), root_occ(all_83_0_29, all_49_0_15), occurrence_of(all_49_0_15, all_123_0_52), yields:
% 13.35/3.84 | (297) all_89_2_36 = all_83_0_29
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (54) with all_123_0_52, all_49_0_15, all_89_2_36, all_9_0_1 and discharging atoms root_occ(all_89_2_36, all_49_0_15), root_occ(all_9_0_1, all_49_0_15), occurrence_of(all_49_0_15, all_123_0_52), yields:
% 13.35/3.84 | (298) all_89_2_36 = all_9_0_1
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (54) with all_123_0_52, all_49_0_15, all_83_0_29, all_53_0_17 and discharging atoms root_occ(all_83_0_29, all_49_0_15), root_occ(all_53_0_17, all_49_0_15), occurrence_of(all_49_0_15, all_123_0_52), yields:
% 13.35/3.84 | (299) all_83_0_29 = all_53_0_17
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (54) with all_123_0_52, all_49_0_15, all_53_0_17, all_41_0_11 and discharging atoms root_occ(all_53_0_17, all_49_0_15), root_occ(all_41_0_11, all_49_0_15), occurrence_of(all_49_0_15, all_123_0_52), yields:
% 13.35/3.84 | (300) all_53_0_17 = all_41_0_11
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (11) with all_123_0_52, all_145_0_63, all_49_0_15 and discharging atoms occurrence_of(all_49_0_15, all_145_0_63), occurrence_of(all_49_0_15, all_123_0_52), yields:
% 13.35/3.84 | (301) all_145_0_63 = all_123_0_52
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (11) with all_125_0_53, tptp0, all_45_0_13 and discharging atoms occurrence_of(all_45_0_13, all_125_0_53), occurrence_of(all_45_0_13, tptp0), yields:
% 13.35/3.84 | (302) all_125_0_53 = tptp0
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (11) with all_125_0_53, all_137_0_59, all_45_0_13 and discharging atoms occurrence_of(all_45_0_13, all_137_0_59), occurrence_of(all_45_0_13, all_125_0_53), yields:
% 13.35/3.84 | (303) all_137_0_59 = all_125_0_53
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (54) with all_121_0_51, all_45_0_13, all_81_2_28, all_91_0_37 and discharging atoms root_occ(all_91_0_37, all_45_0_13), root_occ(all_81_2_28, all_45_0_13), occurrence_of(all_45_0_13, all_121_0_51), yields:
% 13.35/3.84 | (304) all_91_0_37 = all_81_2_28
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (11) with all_121_0_51, all_137_0_59, all_45_0_13 and discharging atoms occurrence_of(all_45_0_13, all_137_0_59), occurrence_of(all_45_0_13, all_121_0_51), yields:
% 13.35/3.84 | (305) all_137_0_59 = all_121_0_51
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (11) with all_141_0_61, tptp0, all_37_0_9 and discharging atoms occurrence_of(all_37_0_9, all_141_0_61), occurrence_of(all_37_0_9, tptp0), yields:
% 13.35/3.84 | (306) all_141_0_61 = tptp0
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (11) with all_133_0_57, all_141_0_61, all_37_0_9 and discharging atoms occurrence_of(all_37_0_9, all_141_0_61), occurrence_of(all_37_0_9, all_133_0_57), yields:
% 13.35/3.84 | (307) all_141_0_61 = all_133_0_57
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (54) with all_105_0_39, all_37_0_9, all_9_0_1, all_85_0_30 and discharging atoms root_occ(all_85_0_30, all_37_0_9), root_occ(all_9_0_1, all_37_0_9), occurrence_of(all_37_0_9, all_105_0_39), yields:
% 13.35/3.84 | (308) all_85_0_30 = all_9_0_1
% 13.35/3.84 |
% 13.35/3.84 | Instantiating formula (11) with all_105_0_39, all_141_0_61, all_37_0_9 and discharging atoms occurrence_of(all_37_0_9, all_141_0_61), occurrence_of(all_37_0_9, all_105_0_39), yields:
% 13.35/3.84 | (309) all_141_0_61 = all_105_0_39
% 13.35/3.84 |
% 13.35/3.84 | Combining equations (294,301) yields a new equation:
% 13.35/3.84 | (310) all_139_0_60 = all_123_0_52
% 13.35/3.84 |
% 13.35/3.84 | Simplifying 310 yields:
% 13.35/3.84 | (311) all_139_0_60 = all_123_0_52
% 13.35/3.84 |
% 13.35/3.84 | Combining equations (306,307) yields a new equation:
% 13.35/3.84 | (312) all_133_0_57 = tptp0
% 13.35/3.84 |
% 13.35/3.84 | Combining equations (309,307) yields a new equation:
% 13.35/3.84 | (313) all_133_0_57 = all_105_0_39
% 13.35/3.84 |
% 13.35/3.84 | Combining equations (296,311) yields a new equation:
% 13.35/3.84 | (314) all_135_0_58 = all_123_0_52
% 13.63/3.84 |
% 13.63/3.84 | Simplifying 314 yields:
% 13.63/3.84 | (315) all_135_0_58 = all_123_0_52
% 13.63/3.84 |
% 13.63/3.84 | Combining equations (303,305) yields a new equation:
% 13.63/3.84 | (316) all_125_0_53 = all_121_0_51
% 13.63/3.84 |
% 13.63/3.84 | Simplifying 316 yields:
% 13.63/3.84 | (317) all_125_0_53 = all_121_0_51
% 13.63/3.84 |
% 13.63/3.84 | Combining equations (315,295) yields a new equation:
% 13.63/3.84 | (318) all_123_0_52 = tptp0
% 13.63/3.84 |
% 13.63/3.84 | Simplifying 318 yields:
% 13.63/3.84 | (319) all_123_0_52 = tptp0
% 13.63/3.84 |
% 13.63/3.84 | Combining equations (312,313) yields a new equation:
% 13.63/3.84 | (320) all_105_0_39 = tptp0
% 13.63/3.84 |
% 13.63/3.84 | Combining equations (302,317) yields a new equation:
% 13.63/3.84 | (321) all_121_0_51 = tptp0
% 13.63/3.84 |
% 13.63/3.84 | Combining equations (297,298) yields a new equation:
% 13.63/3.84 | (322) all_83_0_29 = all_9_0_1
% 13.63/3.84 |
% 13.63/3.84 | Simplifying 322 yields:
% 13.63/3.84 | (323) all_83_0_29 = all_9_0_1
% 13.63/3.84 |
% 13.63/3.84 | Combining equations (299,323) yields a new equation:
% 13.63/3.84 | (324) all_53_0_17 = all_9_0_1
% 13.63/3.84 |
% 13.63/3.84 | Simplifying 324 yields:
% 13.63/3.84 | (325) all_53_0_17 = all_9_0_1
% 13.63/3.84 |
% 13.63/3.84 | Combining equations (300,325) yields a new equation:
% 13.63/3.84 | (326) all_41_0_11 = all_9_0_1
% 13.63/3.84 |
% 13.63/3.84 | Simplifying 326 yields:
% 13.63/3.84 | (327) all_41_0_11 = all_9_0_1
% 13.63/3.84 |
% 13.63/3.84 | From (308) and (242) follows:
% 13.63/3.84 | (328) atocc(all_9_0_1, all_115_0_48)
% 13.63/3.84 |
% 13.63/3.84 | From (323) and (248) follows:
% 13.63/3.84 | (329) atocc(all_9_0_1, all_119_0_50)
% 13.63/3.84 |
% 13.63/3.84 | From (304) and (230) follows:
% 13.63/3.84 | (178) root_occ(all_81_2_28, all_45_0_13)
% 13.63/3.84 |
% 13.63/3.84 | From (327) and (226) follows:
% 13.63/3.84 | (229) root_occ(all_9_0_1, all_49_0_15)
% 13.63/3.84 |
% 13.63/3.84 | From (325) and (227) follows:
% 13.63/3.84 | (332) subactivity_occurrence(all_9_0_1, all_45_0_13)
% 13.63/3.84 |
% 13.63/3.84 | From (320) and (239) follows:
% 13.63/3.85 | (69) root(all_9_0_1, tptp0)
% 13.63/3.85 |
% 13.63/3.85 | From (298) and (199) follows:
% 13.63/3.85 | (334) occurrence_of(all_9_0_1, tptp3)
% 13.63/3.85 |
% 13.63/3.85 | From (325) and (289) follows:
% 13.63/3.85 | (335) occurrence_of(all_9_0_1, all_147_0_64)
% 13.63/3.85 |
% 13.63/3.85 | From (319) and (257) follows:
% 13.63/3.85 | (131) occurrence_of(all_49_0_15, tptp0)
% 13.63/3.85 |
% 13.63/3.85 | From (321) and (253) follows:
% 13.63/3.85 | (127) occurrence_of(all_45_0_13, tptp0)
% 13.63/3.85 |
% 13.63/3.85 | From (327) and (293) follows:
% 13.63/3.85 | (338) occurrence_of(all_9_0_1, all_149_0_65)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (11) with all_149_0_65, tptp3, all_9_0_1 and discharging atoms occurrence_of(all_9_0_1, all_149_0_65), occurrence_of(all_9_0_1, tptp3), yields:
% 13.63/3.85 | (339) all_149_0_65 = tptp3
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (11) with all_147_0_64, all_149_0_65, all_9_0_1 and discharging atoms occurrence_of(all_9_0_1, all_149_0_65), occurrence_of(all_9_0_1, all_147_0_64), yields:
% 13.63/3.85 | (340) all_149_0_65 = all_147_0_64
% 13.63/3.85 |
% 13.63/3.85 | Combining equations (339,340) yields a new equation:
% 13.63/3.85 | (341) all_147_0_64 = tptp3
% 13.63/3.85 |
% 13.63/3.85 | From (341) and (335) follows:
% 13.63/3.85 | (334) occurrence_of(all_9_0_1, tptp3)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (55) with all_131_0_56, all_79_0_25 and discharging atoms atocc(all_79_0_25, all_131_0_56), yields:
% 13.63/3.85 | (343) ? [v0] : (subactivity(all_131_0_56, v0) & atomic(v0) & occurrence_of(all_79_0_25, v0))
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (55) with all_117_0_49, all_75_0_23 and discharging atoms atocc(all_75_0_23, all_117_0_49), yields:
% 13.63/3.85 | (344) ? [v0] : (subactivity(all_117_0_49, v0) & atomic(v0) & occurrence_of(all_75_0_23, v0))
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (55) with all_119_0_50, all_9_0_1 and discharging atoms atocc(all_9_0_1, all_119_0_50), yields:
% 13.63/3.85 | (345) ? [v0] : (subactivity(all_119_0_50, v0) & atomic(v0) & occurrence_of(all_9_0_1, v0))
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (55) with all_115_0_48, all_9_0_1 and discharging atoms atocc(all_9_0_1, all_115_0_48), yields:
% 13.63/3.85 | (346) ? [v0] : (subactivity(all_115_0_48, v0) & atomic(v0) & occurrence_of(all_9_0_1, v0))
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (8) with all_49_0_15, all_9_0_1 and discharging atoms root_occ(all_9_0_1, all_49_0_15), yields:
% 13.63/3.85 | (347) ? [v0] : (subactivity_occurrence(all_9_0_1, all_49_0_15) & root(all_9_0_1, v0) & occurrence_of(all_49_0_15, v0))
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (56) with tptp0, all_49_0_15, all_79_0_25 and discharging atoms subactivity_occurrence(all_79_0_25, all_49_0_15), root(all_79_0_25, tptp0), occurrence_of(all_49_0_15, tptp0), yields:
% 13.63/3.85 | (348) root_occ(all_79_0_25, all_49_0_15)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (56) with tptp0, all_45_0_13, all_79_0_25 and discharging atoms subactivity_occurrence(all_79_0_25, all_45_0_13), root(all_79_0_25, tptp0), occurrence_of(all_45_0_13, tptp0), yields:
% 13.63/3.85 | (349) root_occ(all_79_0_25, all_45_0_13)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (56) with tptp0, all_49_0_15, all_75_0_23 and discharging atoms subactivity_occurrence(all_75_0_23, all_49_0_15), root(all_75_0_23, tptp0), occurrence_of(all_49_0_15, tptp0), yields:
% 13.63/3.85 | (350) root_occ(all_75_0_23, all_49_0_15)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (56) with tptp0, all_0_0_0, all_75_0_23 and discharging atoms subactivity_occurrence(all_75_0_23, all_0_0_0), root(all_75_0_23, tptp0), occurrence_of(all_0_0_0, tptp0), yields:
% 13.63/3.85 | (351) root_occ(all_75_0_23, all_0_0_0)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (56) with tptp0, all_45_0_13, all_9_0_1 and discharging atoms subactivity_occurrence(all_9_0_1, all_45_0_13), root(all_9_0_1, tptp0), occurrence_of(all_45_0_13, tptp0), yields:
% 13.63/3.85 | (352) root_occ(all_9_0_1, all_45_0_13)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating (346) with all_201_0_84 yields:
% 13.63/3.85 | (353) subactivity(all_115_0_48, all_201_0_84) & atomic(all_201_0_84) & occurrence_of(all_9_0_1, all_201_0_84)
% 13.63/3.85 |
% 13.63/3.85 | Applying alpha-rule on (353) yields:
% 13.63/3.85 | (354) subactivity(all_115_0_48, all_201_0_84)
% 13.63/3.85 | (355) atomic(all_201_0_84)
% 13.63/3.85 | (356) occurrence_of(all_9_0_1, all_201_0_84)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating (344) with all_203_0_85 yields:
% 13.63/3.85 | (357) subactivity(all_117_0_49, all_203_0_85) & atomic(all_203_0_85) & occurrence_of(all_75_0_23, all_203_0_85)
% 13.63/3.85 |
% 13.63/3.85 | Applying alpha-rule on (357) yields:
% 13.63/3.85 | (358) subactivity(all_117_0_49, all_203_0_85)
% 13.63/3.85 | (359) atomic(all_203_0_85)
% 13.63/3.85 | (360) occurrence_of(all_75_0_23, all_203_0_85)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating (343) with all_207_0_87 yields:
% 13.63/3.85 | (361) subactivity(all_131_0_56, all_207_0_87) & atomic(all_207_0_87) & occurrence_of(all_79_0_25, all_207_0_87)
% 13.63/3.85 |
% 13.63/3.85 | Applying alpha-rule on (361) yields:
% 13.63/3.85 | (362) subactivity(all_131_0_56, all_207_0_87)
% 13.63/3.85 | (363) atomic(all_207_0_87)
% 13.63/3.85 | (364) occurrence_of(all_79_0_25, all_207_0_87)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating (345) with all_209_0_88 yields:
% 13.63/3.85 | (365) subactivity(all_119_0_50, all_209_0_88) & atomic(all_209_0_88) & occurrence_of(all_9_0_1, all_209_0_88)
% 13.63/3.85 |
% 13.63/3.85 | Applying alpha-rule on (365) yields:
% 13.63/3.85 | (366) subactivity(all_119_0_50, all_209_0_88)
% 13.63/3.85 | (367) atomic(all_209_0_88)
% 13.63/3.85 | (368) occurrence_of(all_9_0_1, all_209_0_88)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating (347) with all_223_0_97 yields:
% 13.63/3.85 | (369) subactivity_occurrence(all_9_0_1, all_49_0_15) & root(all_9_0_1, all_223_0_97) & occurrence_of(all_49_0_15, all_223_0_97)
% 13.63/3.85 |
% 13.63/3.85 | Applying alpha-rule on (369) yields:
% 13.63/3.85 | (143) subactivity_occurrence(all_9_0_1, all_49_0_15)
% 13.63/3.85 | (371) root(all_9_0_1, all_223_0_97)
% 13.63/3.85 | (372) occurrence_of(all_49_0_15, all_223_0_97)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (54) with tptp0, all_45_0_13, all_79_0_25, all_81_2_28 and discharging atoms root_occ(all_81_2_28, all_45_0_13), root_occ(all_79_0_25, all_45_0_13), occurrence_of(all_45_0_13, tptp0), yields:
% 13.63/3.85 | (373) all_81_2_28 = all_79_0_25
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (54) with tptp0, all_45_0_13, all_9_0_1, all_81_2_28 and discharging atoms root_occ(all_81_2_28, all_45_0_13), root_occ(all_9_0_1, all_45_0_13), occurrence_of(all_45_0_13, tptp0), yields:
% 13.63/3.85 | (374) all_81_2_28 = all_9_0_1
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (54) with all_223_0_97, all_49_0_15, all_79_0_25, all_75_0_23 and discharging atoms root_occ(all_79_0_25, all_49_0_15), root_occ(all_75_0_23, all_49_0_15), occurrence_of(all_49_0_15, all_223_0_97), yields:
% 13.63/3.85 | (375) all_79_0_25 = all_75_0_23
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (11) with all_209_0_88, tptp3, all_9_0_1 and discharging atoms occurrence_of(all_9_0_1, all_209_0_88), occurrence_of(all_9_0_1, tptp3), yields:
% 13.63/3.85 | (376) all_209_0_88 = tptp3
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (11) with all_201_0_84, all_209_0_88, all_9_0_1 and discharging atoms occurrence_of(all_9_0_1, all_209_0_88), occurrence_of(all_9_0_1, all_201_0_84), yields:
% 13.63/3.85 | (377) all_209_0_88 = all_201_0_84
% 13.63/3.85 |
% 13.63/3.85 | Combining equations (376,377) yields a new equation:
% 13.63/3.85 | (378) all_201_0_84 = tptp3
% 13.63/3.85 |
% 13.63/3.85 | Combining equations (374,373) yields a new equation:
% 13.63/3.85 | (379) all_79_0_25 = all_9_0_1
% 13.63/3.85 |
% 13.63/3.85 | Combining equations (379,375) yields a new equation:
% 13.63/3.85 | (380) all_75_0_23 = all_9_0_1
% 13.63/3.85 |
% 13.63/3.85 | Combining equations (380,375) yields a new equation:
% 13.63/3.85 | (379) all_79_0_25 = all_9_0_1
% 13.63/3.85 |
% 13.63/3.85 | From (379) and (171) follows:
% 13.63/3.85 | (382) min_precedes(all_9_0_1, all_11_0_2, tptp0)
% 13.63/3.85 |
% 13.63/3.85 | From (380) and (351) follows:
% 13.63/3.85 | (83) root_occ(all_9_0_1, all_0_0_0)
% 13.63/3.85 |
% 13.63/3.85 | From (379) and (364) follows:
% 13.63/3.85 | (384) occurrence_of(all_9_0_1, all_207_0_87)
% 13.63/3.85 |
% 13.63/3.85 | From (380) and (360) follows:
% 13.63/3.85 | (385) occurrence_of(all_9_0_1, all_203_0_85)
% 13.63/3.85 |
% 13.63/3.85 | From (378) and (356) follows:
% 13.63/3.85 | (334) occurrence_of(all_9_0_1, tptp3)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (11) with all_207_0_87, tptp3, all_9_0_1 and discharging atoms occurrence_of(all_9_0_1, all_207_0_87), occurrence_of(all_9_0_1, tptp3), yields:
% 13.63/3.85 | (387) all_207_0_87 = tptp3
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (11) with all_203_0_85, all_207_0_87, all_9_0_1 and discharging atoms occurrence_of(all_9_0_1, all_207_0_87), occurrence_of(all_9_0_1, all_203_0_85), yields:
% 13.63/3.85 | (388) all_207_0_87 = all_203_0_85
% 13.63/3.85 |
% 13.63/3.85 | Combining equations (387,388) yields a new equation:
% 13.63/3.85 | (389) all_203_0_85 = tptp3
% 13.63/3.85 |
% 13.63/3.85 | From (389) and (385) follows:
% 13.63/3.85 | (334) occurrence_of(all_9_0_1, tptp3)
% 13.63/3.85 |
% 13.63/3.85 +-Applying beta-rule and splitting (75), into two cases.
% 13.63/3.85 |-Branch one:
% 13.63/3.85 | (391) occurrence_of(all_11_0_2, tptp1)
% 13.63/3.85 |
% 13.63/3.85 | Instantiating formula (49) with all_11_0_2, all_9_0_1 and discharging atoms min_precedes(all_9_0_1, all_11_0_2, tptp0), leaf_occ(all_11_0_2, all_0_0_0), root_occ(all_9_0_1, all_0_0_0), occurrence_of(all_11_0_2, tptp1), occurrence_of(all_9_0_1, tptp3), yields:
% 13.63/3.85 | (392) $false
% 13.63/3.85 |
% 13.69/3.85 |-The branch is then unsatisfiable
% 13.69/3.85 |-Branch two:
% 13.69/3.85 | (393) ~ occurrence_of(all_11_0_2, tptp1)
% 13.69/3.85 | (394) occurrence_of(all_11_0_2, tptp2)
% 13.69/3.85 |
% 13.69/3.85 | Instantiating formula (5) with all_11_0_2, all_9_0_1 and discharging atoms min_precedes(all_9_0_1, all_11_0_2, tptp0), leaf_occ(all_11_0_2, all_0_0_0), root_occ(all_9_0_1, all_0_0_0), occurrence_of(all_11_0_2, tptp2), occurrence_of(all_9_0_1, tptp3), yields:
% 13.69/3.85 | (392) $false
% 13.69/3.85 |
% 13.69/3.85 |-The branch is then unsatisfiable
% 13.69/3.85 % SZS output end Proof for theBenchmark
% 13.69/3.85
% 13.69/3.85 3265ms
%------------------------------------------------------------------------------