TSTP Solution File: PRO014+2 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PRO014+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 17:44:00 EDT 2022
% Result : Theorem 5.35s 1.94s
% Output : Proof 7.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PRO014+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n020.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 01:12:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.61 ____ _
% 0.51/0.61 ___ / __ \_____(_)___ ________ __________
% 0.51/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.61
% 0.51/0.61 A Theorem Prover for First-Order Logic
% 0.51/0.62 (ePrincess v.1.0)
% 0.51/0.62
% 0.51/0.62 (c) Philipp Rümmer, 2009-2015
% 0.51/0.62 (c) Peter Backeman, 2014-2015
% 0.51/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.62 Bug reports to peter@backeman.se
% 0.51/0.62
% 0.51/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.62
% 0.51/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.79/1.02 Prover 0: Preprocessing ...
% 2.45/1.25 Prover 0: Constructing countermodel ...
% 5.35/1.94 Prover 0: proved (1268ms)
% 5.35/1.94
% 5.35/1.94 No countermodel exists, formula is valid
% 5.35/1.94 % SZS status Theorem for theBenchmark
% 5.35/1.94
% 5.35/1.94 Generating proof ... found it (size 77)
% 7.22/2.44
% 7.22/2.44 % SZS output start Proof for theBenchmark
% 7.22/2.44 Assumed formulas after preprocessing and simplification:
% 7.22/2.44 | (0) ? [v0] : ? [v1] : ( ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & activity(tptp0) & subactivity_occurrence(v0, v1) & arboreal(v0) & atomic(tptp1) & atomic(tptp2) & atomic(tptp4) & atomic(tptp3) & occurrence_of(v1, tptp0) & ~ leaf_occ(v0, v1) & ~ atomic(tptp0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ subactivity_occurrence(v5, v3) | ~ subactivity_occurrence(v4, v3) | ~ arboreal(v5) | ~ arboreal(v4) | ~ occurrence_of(v3, v2) | min_precedes(v5, v4, v2) | min_precedes(v4, v5, v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ leaf_occ(v3, v4) | ~ leaf_occ(v2, v4) | ~ occurrence_of(v4, v5) | atomic(v5)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ root_occ(v3, v4) | ~ root_occ(v2, v4) | ~ occurrence_of(v4, v5)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ next_subocc(v2, v3, v4) | ~ min_precedes(v5, v3, v4) | ~ min_precedes(v2, v5, v4)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ leaf_occ(v3, v2) | ~ occurrence_of(v2, v4) | ~ min_precedes(v3, v5, v4)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ root_occ(v3, v2) | ~ occurrence_of(v2, v4) | ~ min_precedes(v5, v3, v4)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v3, v4, v5) | ~ min_precedes(v2, v3, v5) | min_precedes(v2, v4, v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ occurrence_of(v2, v4) | ~ occurrence_of(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ subactivity(v3, v4) | ~ atomic(v4) | ~ occurrence_of(v2, v4) | atocc(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ leaf(v2, v4) | ~ subactivity_occurrence(v2, v3) | ~ occurrence_of(v3, v4) | leaf_occ(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ leaf(v2, v3) | ~ min_precedes(v2, v4, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ subactivity_occurrence(v2, v3) | ~ root(v2, v4) | ~ occurrence_of(v3, v4) | root_occ(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ root(v3, v4) | ~ min_precedes(v2, v3, v4)) & ! [v2] : ! [v3] : ! [v4] : ( ~ next_subocc(v2, v3, v4) | arboreal(v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ next_subocc(v2, v3, v4) | arboreal(v2)) & ! [v2] : ! [v3] : ! [v4] : ( ~ next_subocc(v2, v3, v4) | min_precedes(v2, v3, v4)) & ! [v2] : ! [v3] : ! [v4] : ( ~ earlier(v3, v4) | ~ earlier(v2, v3) | earlier(v2, v4)) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v4, v2, v3) | leaf(v2, v3) | ? [v5] : min_precedes(v2, v5, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v3, v4, v2) | ? [v5] : ? [v6] : (subactivity(v6, v2) & subactivity(v5, v2) & atocc(v4, v6) & atocc(v3, v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v3, v4, v2) | ? [v5] : (subactivity_occurrence(v4, v5) & subactivity_occurrence(v3, v5) & occurrence_of(v5, v2))) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v2, v3, v4) | precedes(v2, v3)) & ! [v2] : ! [v3] : ! [v4] : ( ~ min_precedes(v2, v3, v4) | next_subocc(v2, v3, v4) | ? [v5] : (min_precedes(v5, v3, v4) & min_precedes(v2, v5, v4))) & ! [v2] : ! [v3] : ( ~ atocc(v2, v3) | ~ legal(v2) | root(v2, v3)) & ! [v2] : ! [v3] : ( ~ atocc(v2, v3) | ? [v4] : (subactivity(v3, v4) & atomic(v4) & occurrence_of(v2, v4))) & ! [v2] : ! [v3] : ( ~ leaf(v3, tptp0) | ~ next_subocc(v0, v2, tptp0) | ~ occurrence_of(v3, tptp1) | ~ occurrence_of(v2, tptp3) | ~ min_precedes(v2, v3, tptp0)) & ! [v2] : ! [v3] : ( ~ leaf(v3, tptp0) | ~ next_subocc(v0, v2, tptp0) | ~ occurrence_of(v3, tptp2) | ~ occurrence_of(v2, tptp3) | ~ min_precedes(v2, v3, tptp0)) & ! [v2] : ! [v3] : ( ~ leaf(v2, v3) | root(v2, v3) | ? [v4] : min_precedes(v4, v2, v3)) & ! [v2] : ! [v3] : ( ~ leaf(v2, v3) | atomic(v3) | ? [v4] : (leaf_occ(v2, v4) & occurrence_of(v4, v3))) & ! [v2] : ! [v3] : ( ~ subactivity_occurrence(v2, v3) | ~ arboreal(v2) | ~ occurrence_of(v3, tptp0) | leaf_occ(v2, v3) | ? [v4] : ? [v5] : ? [v6] : (leaf(v6, tptp0) & next_subocc(v5, v6, tptp0) & next_subocc(v4, v5, tptp0) & next_subocc(v2, v4, tptp0) & occurrence_of(v5, tptp4) & occurrence_of(v4, tptp3) & (occurrence_of(v6, tptp1) | occurrence_of(v6, tptp2)))) & ! [v2] : ! [v3] : ( ~ subactivity_occurrence(v2, v3) | activity_occurrence(v3)) & ! [v2] : ! [v3] : ( ~ subactivity_occurrence(v2, v3) | activity_occurrence(v2)) & ! [v2] : ! [v3] : ( ~ legal(v3) | ~ earlier(v2, v3) | precedes(v2, v3)) & ! [v2] : ! [v3] : ( ~ root(v3, v2) | ? [v4] : (subactivity(v4, v2) & atocc(v3, v4))) & ! [v2] : ! [v3] : ( ~ root(v2, v3) | leaf(v2, v3) | ? [v4] : min_precedes(v2, v4, v3)) & ! [v2] : ! [v3] : ( ~ root(v2, v3) | legal(v2)) & ! [v2] : ! [v3] : ( ~ precedes(v2, v3) | legal(v3)) & ! [v2] : ! [v3] : ( ~ precedes(v2, v3) | earlier(v2, v3)) & ! [v2] : ! [v3] : ( ~ arboreal(v2) | ~ occurrence_of(v2, v3) | atomic(v3)) & ! [v2] : ! [v3] : ( ~ leaf_occ(v2, v3) | ? [v4] : (leaf(v2, v4) & subactivity_occurrence(v2, v3) & occurrence_of(v3, v4))) & ! [v2] : ! [v3] : ( ~ atomic(v3) | ~ occurrence_of(v2, v3) | arboreal(v2)) & ! [v2] : ! [v3] : ( ~ root_occ(v2, v3) | ? [v4] : (subactivity_occurrence(v2, v3) & root(v2, v4) & occurrence_of(v3, v4))) & ! [v2] : ! [v3] : ( ~ occurrence_of(v3, v2) | activity(v2)) & ! [v2] : ! [v3] : ( ~ occurrence_of(v3, v2) | activity_occurrence(v3)) & ! [v2] : ! [v3] : ( ~ occurrence_of(v3, v2) | atomic(v2) | ? [v4] : (subactivity_occurrence(v4, v3) & root(v4, v2))) & ! [v2] : ! [v3] : ( ~ earlier(v3, v2) | ~ earlier(v2, v3)) & ! [v2] : ( ~ activity(v2) | subactivity(v2, v2)) & ! [v2] : ( ~ activity_occurrence(v2) | ? [v3] : (activity(v3) & occurrence_of(v2, v3))) & ! [v2] : ( ~ legal(v2) | arboreal(v2)))
% 7.61/2.46 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 7.61/2.46 | (1) ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & activity(tptp0) & subactivity_occurrence(all_0_1_1, all_0_0_0) & arboreal(all_0_1_1) & atomic(tptp1) & atomic(tptp2) & atomic(tptp4) & atomic(tptp3) & occurrence_of(all_0_0_0, tptp0) & ~ leaf_occ(all_0_1_1, all_0_0_0) & ~ atomic(tptp0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ arboreal(v3) | ~ arboreal(v2) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (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] : ( ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2) | ~ min_precedes(v1, v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2) | ~ min_precedes(v3, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v0, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1)) & ! [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_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ root(v1, v2) | ~ min_precedes(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ 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] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : ? [v4] : (subactivity(v4, v0) & subactivity(v3, v0) & atocc(v2, v4) & atocc(v1, v3))) & ! [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) | precedes(v0, v1)) & ! [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] : ( ~ atocc(v0, v1) | ~ legal(v0) | root(v0, v1)) & ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2))) & ! [v0] : ! [v1] : ( ~ leaf(v1, tptp0) | ~ next_subocc(all_0_1_1, v0, tptp0) | ~ occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3) | ~ min_precedes(v0, v1, tptp0)) & ! [v0] : ! [v1] : ( ~ leaf(v1, tptp0) | ~ next_subocc(all_0_1_1, v0, tptp0) | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0, tptp3) | ~ min_precedes(v0, v1, tptp0)) & ! [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] : ( ~ subactivity_occurrence(v0, v1) | ~ arboreal(v0) | ~ occurrence_of(v1, tptp0) | leaf_occ(v0, v1) | ? [v2] : ? [v3] : ? [v4] : (leaf(v4, tptp0) & next_subocc(v3, v4, tptp0) & next_subocc(v2, v3, tptp0) & next_subocc(v0, v2, tptp0) & occurrence_of(v3, tptp4) & occurrence_of(v2, tptp3) & (occurrence_of(v4, tptp1) | occurrence_of(v4, tptp2)))) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0)) & ! [v0] : ! [v1] : ( ~ legal(v1) | ~ earlier(v0, v1) | precedes(v0, v1)) & ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (subactivity(v2, v0) & atocc(v1, v2))) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1)) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0)) & ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1)) & ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1)) & ! [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] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0)) & ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2))) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0))) & ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1)) & ! [v0] : ( ~ activity(v0) | subactivity(v0, v0)) & ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1))) & ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 7.61/2.47 |
% 7.61/2.47 | Applying alpha-rule on (1) yields:
% 7.61/2.47 | (2) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0))
% 7.61/2.47 | (3) ! [v0] : ! [v1] : ( ~ leaf(v1, tptp0) | ~ next_subocc(all_0_1_1, v0, tptp0) | ~ occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3) | ~ min_precedes(v0, v1, tptp0))
% 7.61/2.47 | (4) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0)))
% 7.61/2.47 | (5) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1))
% 7.61/2.47 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ earlier(v0, v1) | earlier(v0, v2))
% 7.61/2.47 | (7) ~ (tptp2 = tptp4)
% 7.61/2.47 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v0, v1, v2) | ~ min_precedes(v3, v1, v2) | ~ min_precedes(v0, v3, v2))
% 7.61/2.47 | (9) arboreal(all_0_1_1)
% 7.61/2.47 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ root_occ(v1, v2) | ~ root_occ(v0, v2) | ~ occurrence_of(v2, v3))
% 7.61/2.47 | (11) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) | ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1)))
% 7.61/2.47 | (12) atomic(tptp3)
% 7.61/2.47 | (13) ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1))
% 7.61/2.47 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1))
% 7.61/2.47 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0))
% 7.61/2.47 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1))
% 7.61/2.47 | (17) ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2)))
% 7.61/2.48 | (18) ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ~ legal(v0) | root(v0, v1))
% 7.61/2.48 | (19) ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1))
% 7.61/2.48 | (20) ~ atomic(tptp0)
% 7.61/2.48 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ leaf_occ(v1, v2) | ~ leaf_occ(v0, v2) | ~ occurrence_of(v2, v3) | atomic(v3))
% 7.61/2.48 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1))
% 7.61/2.48 | (23) atomic(tptp2)
% 7.61/2.48 | (24) ~ (tptp1 = tptp3)
% 7.61/2.48 | (25) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1))
% 7.61/2.48 | (26) activity(tptp0)
% 7.61/2.48 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2) | ~ min_precedes(v1, v3, v2))
% 7.61/2.48 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v1) | ~ min_precedes(v0, v2, v1))
% 7.61/2.48 | (29) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0))
% 7.61/2.48 | (30) subactivity_occurrence(all_0_1_1, all_0_0_0)
% 7.61/2.48 | (31) atomic(tptp1)
% 7.61/2.48 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1))
% 7.61/2.48 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2)))
% 7.61/2.48 | (34) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1))
% 7.61/2.48 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v2) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, v2) | leaf_occ(v0, v1))
% 7.61/2.48 | (36) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1))
% 7.61/2.48 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0)))
% 7.61/2.48 | (38) ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2)))
% 7.61/2.48 | (39) ~ leaf_occ(all_0_1_1, all_0_0_0)
% 7.61/2.48 | (40) ! [v0] : ! [v1] : ( ~ leaf(v1, tptp0) | ~ next_subocc(all_0_1_1, v0, tptp0) | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0, tptp3) | ~ min_precedes(v0, v1, tptp0))
% 7.61/2.48 | (41) ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0))
% 7.61/2.48 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ arboreal(v3) | ~ arboreal(v2) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0))
% 7.61/2.48 | (43) ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2)))
% 7.61/2.48 | (44) ! [v0] : ( ~ activity(v0) | subactivity(v0, v0))
% 7.61/2.48 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v0, v2, v3))
% 7.61/2.48 | (46) ~ (tptp1 = tptp2)
% 7.61/2.48 | (47) ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (subactivity(v2, v0) & atocc(v1, v2)))
% 7.61/2.48 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : ? [v4] : (subactivity(v4, v0) & subactivity(v3, v0) & atocc(v2, v4) & atocc(v1, v3)))
% 7.61/2.48 | (49) ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0))
% 7.61/2.48 | (50) ! [v0] : ! [v1] : ( ~ legal(v1) | ~ earlier(v0, v1) | precedes(v0, v1))
% 7.61/2.48 | (51) ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1)))
% 7.61/2.48 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ root(v1, v2) | ~ min_precedes(v0, v1, v2))
% 7.61/2.48 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1))
% 7.61/2.48 | (54) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | ~ arboreal(v0) | ~ occurrence_of(v1, tptp0) | leaf_occ(v0, v1) | ? [v2] : ? [v3] : ? [v4] : (leaf(v4, tptp0) & next_subocc(v3, v4, tptp0) & next_subocc(v2, v3, tptp0) & next_subocc(v0, v2, tptp0) & occurrence_of(v3, tptp4) & occurrence_of(v2, tptp3) & (occurrence_of(v4, tptp1) | occurrence_of(v4, tptp2))))
% 7.61/2.48 | (55) ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 7.61/2.48 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2) | ~ min_precedes(v3, v1, v2))
% 7.61/2.48 | (57) ~ (tptp4 = tptp3)
% 7.61/2.48 | (58) atomic(tptp4)
% 7.61/2.48 | (59) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) | ? [v2] : min_precedes(v2, v0, v1))
% 7.61/2.48 | (60) ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ occurrence_of(v0, v1) | atomic(v1))
% 7.61/2.49 | (61) ~ (tptp2 = tptp3)
% 7.61/2.49 | (62) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1))
% 7.83/2.49 | (63) ~ (tptp1 = tptp4)
% 7.83/2.49 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2))
% 7.83/2.49 | (65) occurrence_of(all_0_0_0, tptp0)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (54) with all_0_0_0, all_0_1_1 and discharging atoms subactivity_occurrence(all_0_1_1, all_0_0_0), arboreal(all_0_1_1), occurrence_of(all_0_0_0, tptp0), ~ leaf_occ(all_0_1_1, all_0_0_0), yields:
% 7.83/2.49 | (66) ? [v0] : ? [v1] : ? [v2] : (leaf(v2, tptp0) & next_subocc(v1, v2, tptp0) & next_subocc(v0, v1, tptp0) & next_subocc(all_0_1_1, v0, tptp0) & occurrence_of(v1, tptp4) & occurrence_of(v0, tptp3) & (occurrence_of(v2, tptp1) | occurrence_of(v2, tptp2)))
% 7.83/2.49 |
% 7.83/2.49 | Instantiating (66) with all_11_0_3, all_11_1_4, all_11_2_5 yields:
% 7.83/2.49 | (67) leaf(all_11_0_3, tptp0) & next_subocc(all_11_1_4, all_11_0_3, tptp0) & next_subocc(all_11_2_5, all_11_1_4, tptp0) & next_subocc(all_0_1_1, all_11_2_5, tptp0) & occurrence_of(all_11_1_4, tptp4) & occurrence_of(all_11_2_5, tptp3) & (occurrence_of(all_11_0_3, tptp1) | occurrence_of(all_11_0_3, tptp2))
% 7.83/2.49 |
% 7.83/2.49 | Applying alpha-rule on (67) yields:
% 7.83/2.49 | (68) next_subocc(all_11_2_5, all_11_1_4, tptp0)
% 7.83/2.49 | (69) leaf(all_11_0_3, tptp0)
% 7.83/2.49 | (70) next_subocc(all_0_1_1, all_11_2_5, tptp0)
% 7.83/2.49 | (71) next_subocc(all_11_1_4, all_11_0_3, tptp0)
% 7.83/2.49 | (72) occurrence_of(all_11_1_4, tptp4)
% 7.83/2.49 | (73) occurrence_of(all_11_0_3, tptp1) | occurrence_of(all_11_0_3, tptp2)
% 7.83/2.49 | (74) occurrence_of(all_11_2_5, tptp3)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (11) with tptp0, all_11_0_3 and discharging atoms leaf(all_11_0_3, tptp0), ~ atomic(tptp0), yields:
% 7.83/2.49 | (75) ? [v0] : (leaf_occ(all_11_0_3, v0) & occurrence_of(v0, tptp0))
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (64) with tptp0, all_11_0_3, all_11_1_4 and discharging atoms next_subocc(all_11_1_4, all_11_0_3, tptp0), yields:
% 7.83/2.49 | (76) min_precedes(all_11_1_4, all_11_0_3, tptp0)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (64) with tptp0, all_11_1_4, all_11_2_5 and discharging atoms next_subocc(all_11_2_5, all_11_1_4, tptp0), yields:
% 7.83/2.49 | (77) min_precedes(all_11_2_5, all_11_1_4, tptp0)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (64) with tptp0, all_11_2_5, all_0_1_1 and discharging atoms next_subocc(all_0_1_1, all_11_2_5, tptp0), yields:
% 7.83/2.49 | (78) min_precedes(all_0_1_1, all_11_2_5, tptp0)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (2) with all_11_2_5, tptp3 and discharging atoms occurrence_of(all_11_2_5, tptp3), yields:
% 7.83/2.49 | (79) activity(tptp3)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (36) with all_11_2_5, tptp3 and discharging atoms occurrence_of(all_11_2_5, tptp3), yields:
% 7.83/2.49 | (80) activity_occurrence(all_11_2_5)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating (75) with all_19_0_6 yields:
% 7.83/2.49 | (81) leaf_occ(all_11_0_3, all_19_0_6) & occurrence_of(all_19_0_6, tptp0)
% 7.83/2.49 |
% 7.83/2.49 | Applying alpha-rule on (81) yields:
% 7.83/2.49 | (82) leaf_occ(all_11_0_3, all_19_0_6)
% 7.83/2.49 | (83) occurrence_of(all_19_0_6, tptp0)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (44) with tptp3 and discharging atoms activity(tptp3), yields:
% 7.83/2.49 | (84) subactivity(tptp3, tptp3)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (51) with all_11_2_5 and discharging atoms activity_occurrence(all_11_2_5), yields:
% 7.83/2.49 | (85) ? [v0] : (activity(v0) & occurrence_of(all_11_2_5, v0))
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (17) with all_19_0_6, all_11_0_3 and discharging atoms leaf_occ(all_11_0_3, all_19_0_6), yields:
% 7.83/2.49 | (86) ? [v0] : (leaf(all_11_0_3, v0) & subactivity_occurrence(all_11_0_3, all_19_0_6) & occurrence_of(all_19_0_6, v0))
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (37) with all_11_0_3, all_11_1_4, tptp0 and discharging atoms min_precedes(all_11_1_4, all_11_0_3, tptp0), yields:
% 7.83/2.49 | (87) ? [v0] : (subactivity_occurrence(all_11_0_3, v0) & subactivity_occurrence(all_11_1_4, v0) & occurrence_of(v0, tptp0))
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (45) with tptp0, all_11_0_3, all_11_1_4, all_11_2_5 and discharging atoms min_precedes(all_11_1_4, all_11_0_3, tptp0), min_precedes(all_11_2_5, all_11_1_4, tptp0), yields:
% 7.83/2.49 | (88) min_precedes(all_11_2_5, all_11_0_3, tptp0)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (48) with all_11_1_4, all_11_2_5, tptp0 and discharging atoms min_precedes(all_11_2_5, all_11_1_4, tptp0), yields:
% 7.83/2.49 | (89) ? [v0] : ? [v1] : (subactivity(v1, tptp0) & subactivity(v0, tptp0) & atocc(all_11_1_4, v1) & atocc(all_11_2_5, v0))
% 7.83/2.49 |
% 7.83/2.49 | Instantiating formula (48) with all_11_2_5, all_0_1_1, tptp0 and discharging atoms min_precedes(all_0_1_1, all_11_2_5, tptp0), yields:
% 7.83/2.49 | (90) ? [v0] : ? [v1] : (subactivity(v1, tptp0) & subactivity(v0, tptp0) & atocc(all_11_2_5, v1) & atocc(all_0_1_1, v0))
% 7.83/2.49 |
% 7.83/2.49 | Instantiating (89) with all_39_0_11, all_39_1_12 yields:
% 7.83/2.49 | (91) subactivity(all_39_0_11, tptp0) & subactivity(all_39_1_12, tptp0) & atocc(all_11_1_4, all_39_0_11) & atocc(all_11_2_5, all_39_1_12)
% 7.83/2.49 |
% 7.83/2.49 | Applying alpha-rule on (91) yields:
% 7.83/2.49 | (92) subactivity(all_39_0_11, tptp0)
% 7.83/2.49 | (93) subactivity(all_39_1_12, tptp0)
% 7.83/2.49 | (94) atocc(all_11_1_4, all_39_0_11)
% 7.83/2.49 | (95) atocc(all_11_2_5, all_39_1_12)
% 7.83/2.49 |
% 7.83/2.49 | Instantiating (85) with all_43_0_14 yields:
% 7.83/2.49 | (96) activity(all_43_0_14) & occurrence_of(all_11_2_5, all_43_0_14)
% 7.83/2.49 |
% 7.83/2.50 | Applying alpha-rule on (96) yields:
% 7.83/2.50 | (97) activity(all_43_0_14)
% 7.83/2.50 | (98) occurrence_of(all_11_2_5, all_43_0_14)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating (87) with all_53_0_19 yields:
% 7.83/2.50 | (99) subactivity_occurrence(all_11_0_3, all_53_0_19) & subactivity_occurrence(all_11_1_4, all_53_0_19) & occurrence_of(all_53_0_19, tptp0)
% 7.83/2.50 |
% 7.83/2.50 | Applying alpha-rule on (99) yields:
% 7.83/2.50 | (100) subactivity_occurrence(all_11_0_3, all_53_0_19)
% 7.83/2.50 | (101) subactivity_occurrence(all_11_1_4, all_53_0_19)
% 7.83/2.50 | (102) occurrence_of(all_53_0_19, tptp0)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating (90) with all_57_0_21, all_57_1_22 yields:
% 7.83/2.50 | (103) subactivity(all_57_0_21, tptp0) & subactivity(all_57_1_22, tptp0) & atocc(all_11_2_5, all_57_0_21) & atocc(all_0_1_1, all_57_1_22)
% 7.83/2.50 |
% 7.83/2.50 | Applying alpha-rule on (103) yields:
% 7.83/2.50 | (104) subactivity(all_57_0_21, tptp0)
% 7.83/2.50 | (105) subactivity(all_57_1_22, tptp0)
% 7.83/2.50 | (106) atocc(all_11_2_5, all_57_0_21)
% 7.83/2.50 | (107) atocc(all_0_1_1, all_57_1_22)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating (86) with all_59_0_23 yields:
% 7.83/2.50 | (108) leaf(all_11_0_3, all_59_0_23) & subactivity_occurrence(all_11_0_3, all_19_0_6) & occurrence_of(all_19_0_6, all_59_0_23)
% 7.83/2.50 |
% 7.83/2.50 | Applying alpha-rule on (108) yields:
% 7.83/2.50 | (109) leaf(all_11_0_3, all_59_0_23)
% 7.83/2.50 | (110) subactivity_occurrence(all_11_0_3, all_19_0_6)
% 7.83/2.50 | (111) occurrence_of(all_19_0_6, all_59_0_23)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating formula (62) with all_59_0_23, tptp0, all_19_0_6 and discharging atoms occurrence_of(all_19_0_6, all_59_0_23), occurrence_of(all_19_0_6, tptp0), yields:
% 7.83/2.50 | (112) all_59_0_23 = tptp0
% 7.83/2.50 |
% 7.83/2.50 | Instantiating formula (62) with all_43_0_14, tptp3, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_43_0_14), occurrence_of(all_11_2_5, tptp3), yields:
% 7.83/2.50 | (113) all_43_0_14 = tptp3
% 7.83/2.50 |
% 7.83/2.50 | From (112) and (109) follows:
% 7.83/2.50 | (69) leaf(all_11_0_3, tptp0)
% 7.83/2.50 |
% 7.83/2.50 | From (113) and (98) follows:
% 7.83/2.50 | (74) occurrence_of(all_11_2_5, tptp3)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating formula (22) with tptp3, tptp3, all_11_2_5 and discharging atoms subactivity(tptp3, tptp3), atomic(tptp3), occurrence_of(all_11_2_5, tptp3), yields:
% 7.83/2.50 | (116) atocc(all_11_2_5, tptp3)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating formula (38) with all_57_0_21, all_11_2_5 and discharging atoms atocc(all_11_2_5, all_57_0_21), yields:
% 7.83/2.50 | (117) ? [v0] : (subactivity(all_57_0_21, v0) & atomic(v0) & occurrence_of(all_11_2_5, v0))
% 7.83/2.50 |
% 7.83/2.50 | Instantiating formula (38) with all_39_1_12, all_11_2_5 and discharging atoms atocc(all_11_2_5, all_39_1_12), yields:
% 7.83/2.50 | (118) ? [v0] : (subactivity(all_39_1_12, v0) & atomic(v0) & occurrence_of(all_11_2_5, v0))
% 7.83/2.50 |
% 7.83/2.50 | Instantiating formula (35) with tptp0, all_53_0_19, all_11_0_3 and discharging atoms leaf(all_11_0_3, tptp0), subactivity_occurrence(all_11_0_3, all_53_0_19), occurrence_of(all_53_0_19, tptp0), yields:
% 7.83/2.50 | (119) leaf_occ(all_11_0_3, all_53_0_19)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating formula (36) with all_53_0_19, tptp0 and discharging atoms occurrence_of(all_53_0_19, tptp0), yields:
% 7.83/2.50 | (120) activity_occurrence(all_53_0_19)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating formula (48) with all_11_0_3, all_11_2_5, tptp0 and discharging atoms min_precedes(all_11_2_5, all_11_0_3, tptp0), yields:
% 7.83/2.50 | (121) ? [v0] : ? [v1] : (subactivity(v1, tptp0) & subactivity(v0, tptp0) & atocc(all_11_0_3, v1) & atocc(all_11_2_5, v0))
% 7.83/2.50 |
% 7.83/2.50 | Instantiating (117) with all_77_0_29 yields:
% 7.83/2.50 | (122) subactivity(all_57_0_21, all_77_0_29) & atomic(all_77_0_29) & occurrence_of(all_11_2_5, all_77_0_29)
% 7.83/2.50 |
% 7.83/2.50 | Applying alpha-rule on (122) yields:
% 7.83/2.50 | (123) subactivity(all_57_0_21, all_77_0_29)
% 7.83/2.50 | (124) atomic(all_77_0_29)
% 7.83/2.50 | (125) occurrence_of(all_11_2_5, all_77_0_29)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating (118) with all_97_0_39 yields:
% 7.83/2.50 | (126) subactivity(all_39_1_12, all_97_0_39) & atomic(all_97_0_39) & occurrence_of(all_11_2_5, all_97_0_39)
% 7.83/2.50 |
% 7.83/2.50 | Applying alpha-rule on (126) yields:
% 7.83/2.50 | (127) subactivity(all_39_1_12, all_97_0_39)
% 7.83/2.50 | (128) atomic(all_97_0_39)
% 7.83/2.50 | (129) occurrence_of(all_11_2_5, all_97_0_39)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating (121) with all_101_0_41, all_101_1_42 yields:
% 7.83/2.50 | (130) subactivity(all_101_0_41, tptp0) & subactivity(all_101_1_42, tptp0) & atocc(all_11_0_3, all_101_0_41) & atocc(all_11_2_5, all_101_1_42)
% 7.83/2.50 |
% 7.83/2.50 | Applying alpha-rule on (130) yields:
% 7.83/2.50 | (131) subactivity(all_101_0_41, tptp0)
% 7.83/2.50 | (132) subactivity(all_101_1_42, tptp0)
% 7.83/2.50 | (133) atocc(all_11_0_3, all_101_0_41)
% 7.83/2.50 | (134) atocc(all_11_2_5, all_101_1_42)
% 7.83/2.50 |
% 7.83/2.50 | Instantiating formula (62) with all_97_0_39, tptp3, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_97_0_39), occurrence_of(all_11_2_5, tptp3), yields:
% 7.83/2.50 | (135) all_97_0_39 = tptp3
% 7.83/2.50 |
% 7.83/2.50 | Instantiating formula (62) with all_77_0_29, all_97_0_39, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_97_0_39), occurrence_of(all_11_2_5, all_77_0_29), yields:
% 7.83/2.50 | (136) all_97_0_39 = all_77_0_29
% 7.83/2.50 |
% 7.83/2.51 | Combining equations (136,135) yields a new equation:
% 7.83/2.51 | (137) all_77_0_29 = tptp3
% 7.83/2.51 |
% 7.83/2.51 | Simplifying 137 yields:
% 7.83/2.51 | (138) all_77_0_29 = tptp3
% 7.83/2.51 |
% 7.83/2.51 | From (138) and (125) follows:
% 7.83/2.51 | (74) occurrence_of(all_11_2_5, tptp3)
% 7.83/2.51 |
% 7.83/2.51 | Instantiating formula (51) with all_53_0_19 and discharging atoms activity_occurrence(all_53_0_19), yields:
% 7.83/2.51 | (140) ? [v0] : (activity(v0) & occurrence_of(all_53_0_19, v0))
% 7.83/2.51 |
% 7.83/2.51 | Instantiating formula (38) with all_101_1_42, all_11_2_5 and discharging atoms atocc(all_11_2_5, all_101_1_42), yields:
% 7.83/2.51 | (141) ? [v0] : (subactivity(all_101_1_42, v0) & atomic(v0) & occurrence_of(all_11_2_5, v0))
% 7.83/2.51 |
% 7.83/2.51 | Instantiating formula (38) with tptp3, all_11_2_5 and discharging atoms atocc(all_11_2_5, tptp3), yields:
% 7.83/2.51 | (142) ? [v0] : (subactivity(tptp3, v0) & atomic(v0) & occurrence_of(all_11_2_5, v0))
% 7.83/2.51 |
% 7.83/2.51 | Instantiating formula (17) with all_53_0_19, all_11_0_3 and discharging atoms leaf_occ(all_11_0_3, all_53_0_19), yields:
% 7.83/2.51 | (143) ? [v0] : (leaf(all_11_0_3, v0) & subactivity_occurrence(all_11_0_3, all_53_0_19) & occurrence_of(all_53_0_19, v0))
% 7.83/2.51 |
% 7.83/2.51 | Instantiating (143) with all_121_0_47 yields:
% 7.83/2.51 | (144) leaf(all_11_0_3, all_121_0_47) & subactivity_occurrence(all_11_0_3, all_53_0_19) & occurrence_of(all_53_0_19, all_121_0_47)
% 7.83/2.51 |
% 7.83/2.51 | Applying alpha-rule on (144) yields:
% 7.83/2.51 | (145) leaf(all_11_0_3, all_121_0_47)
% 7.83/2.51 | (100) subactivity_occurrence(all_11_0_3, all_53_0_19)
% 7.83/2.51 | (147) occurrence_of(all_53_0_19, all_121_0_47)
% 7.83/2.51 |
% 7.83/2.51 | Instantiating (140) with all_139_0_56 yields:
% 7.83/2.51 | (148) activity(all_139_0_56) & occurrence_of(all_53_0_19, all_139_0_56)
% 7.83/2.51 |
% 7.83/2.51 | Applying alpha-rule on (148) yields:
% 7.83/2.51 | (149) activity(all_139_0_56)
% 7.83/2.51 | (150) occurrence_of(all_53_0_19, all_139_0_56)
% 7.83/2.51 |
% 7.83/2.51 | Instantiating (142) with all_145_0_59 yields:
% 7.83/2.51 | (151) subactivity(tptp3, all_145_0_59) & atomic(all_145_0_59) & occurrence_of(all_11_2_5, all_145_0_59)
% 7.83/2.51 |
% 7.83/2.51 | Applying alpha-rule on (151) yields:
% 7.83/2.51 | (152) subactivity(tptp3, all_145_0_59)
% 7.83/2.51 | (153) atomic(all_145_0_59)
% 7.83/2.51 | (154) occurrence_of(all_11_2_5, all_145_0_59)
% 7.83/2.51 |
% 7.83/2.51 | Instantiating (141) with all_147_0_60 yields:
% 7.83/2.51 | (155) subactivity(all_101_1_42, all_147_0_60) & atomic(all_147_0_60) & occurrence_of(all_11_2_5, all_147_0_60)
% 7.83/2.51 |
% 7.83/2.51 | Applying alpha-rule on (155) yields:
% 7.83/2.51 | (156) subactivity(all_101_1_42, all_147_0_60)
% 7.83/2.51 | (157) atomic(all_147_0_60)
% 7.83/2.51 | (158) occurrence_of(all_11_2_5, all_147_0_60)
% 7.83/2.51 |
% 7.83/2.51 | Instantiating formula (62) with all_139_0_56, tptp0, all_53_0_19 and discharging atoms occurrence_of(all_53_0_19, all_139_0_56), occurrence_of(all_53_0_19, tptp0), yields:
% 7.83/2.51 | (159) all_139_0_56 = tptp0
% 7.83/2.51 |
% 7.83/2.51 | Instantiating formula (62) with all_121_0_47, all_139_0_56, all_53_0_19 and discharging atoms occurrence_of(all_53_0_19, all_139_0_56), occurrence_of(all_53_0_19, all_121_0_47), yields:
% 7.83/2.51 | (160) all_139_0_56 = all_121_0_47
% 7.83/2.51 |
% 7.83/2.51 | Instantiating formula (62) with all_147_0_60, tptp3, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_147_0_60), occurrence_of(all_11_2_5, tptp3), yields:
% 7.83/2.51 | (161) all_147_0_60 = tptp3
% 7.83/2.51 |
% 7.83/2.51 | Instantiating formula (62) with all_145_0_59, all_147_0_60, all_11_2_5 and discharging atoms occurrence_of(all_11_2_5, all_147_0_60), occurrence_of(all_11_2_5, all_145_0_59), yields:
% 7.83/2.51 | (162) all_147_0_60 = all_145_0_59
% 7.83/2.51 |
% 7.83/2.51 | Combining equations (162,161) yields a new equation:
% 7.83/2.51 | (163) all_145_0_59 = tptp3
% 7.83/2.51 |
% 7.83/2.51 | Simplifying 163 yields:
% 7.83/2.51 | (164) all_145_0_59 = tptp3
% 7.83/2.51 |
% 7.83/2.51 | Combining equations (159,160) yields a new equation:
% 7.83/2.51 | (165) all_121_0_47 = tptp0
% 7.83/2.51 |
% 7.83/2.51 | From (165) and (145) follows:
% 7.83/2.51 | (69) leaf(all_11_0_3, tptp0)
% 7.83/2.51 |
% 7.83/2.51 | From (164) and (154) follows:
% 7.83/2.51 | (74) occurrence_of(all_11_2_5, tptp3)
% 7.83/2.51 |
% 7.83/2.51 +-Applying beta-rule and splitting (73), into two cases.
% 7.83/2.51 |-Branch one:
% 7.83/2.51 | (168) occurrence_of(all_11_0_3, tptp1)
% 7.83/2.51 |
% 7.83/2.51 | Instantiating formula (3) with all_11_0_3, all_11_2_5 and discharging atoms leaf(all_11_0_3, tptp0), next_subocc(all_0_1_1, all_11_2_5, tptp0), occurrence_of(all_11_0_3, tptp1), occurrence_of(all_11_2_5, tptp3), min_precedes(all_11_2_5, all_11_0_3, tptp0), yields:
% 7.83/2.51 | (169) $false
% 7.83/2.51 |
% 7.83/2.51 |-The branch is then unsatisfiable
% 7.83/2.51 |-Branch two:
% 7.83/2.51 | (170) ~ occurrence_of(all_11_0_3, tptp1)
% 7.83/2.51 | (171) occurrence_of(all_11_0_3, tptp2)
% 7.83/2.51 |
% 7.83/2.51 | Instantiating formula (40) with all_11_0_3, all_11_2_5 and discharging atoms leaf(all_11_0_3, tptp0), next_subocc(all_0_1_1, all_11_2_5, tptp0), occurrence_of(all_11_0_3, tptp2), occurrence_of(all_11_2_5, tptp3), min_precedes(all_11_2_5, all_11_0_3, tptp0), yields:
% 7.83/2.51 | (169) $false
% 7.83/2.51 |
% 7.83/2.51 |-The branch is then unsatisfiable
% 7.83/2.51 % SZS output end Proof for theBenchmark
% 7.83/2.51
% 7.83/2.51 1880ms
%------------------------------------------------------------------------------