TSTP Solution File: PRO002+2 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PRO002+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 17:43:51 EDT 2022
% Result : Theorem 64.08s 27.68s
% Output : Proof 67.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO002+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 03:29:37 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.63/0.64 ____ _
% 0.63/0.64 ___ / __ \_____(_)___ ________ __________
% 0.63/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.63/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.63/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.63/0.64
% 0.63/0.64 A Theorem Prover for First-Order Logic
% 0.63/0.64 (ePrincess v.1.0)
% 0.63/0.64
% 0.63/0.64 (c) Philipp Rümmer, 2009-2015
% 0.63/0.64 (c) Peter Backeman, 2014-2015
% 0.63/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.63/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.63/0.64 Bug reports to peter@backeman.se
% 0.63/0.64
% 0.63/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.63/0.64
% 0.63/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.63/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.78/1.05 Prover 0: Preprocessing ...
% 2.62/1.31 Prover 0: Constructing countermodel ...
% 20.51/5.98 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.70/6.07 Prover 1: Preprocessing ...
% 21.50/6.25 Prover 1: Constructing countermodel ...
% 30.98/8.58 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 31.69/8.65 Prover 2: Preprocessing ...
% 32.32/8.83 Prover 2: Warning: ignoring some quantifiers
% 32.32/8.84 Prover 2: Constructing countermodel ...
% 42.51/11.59 Prover 0: stopped
% 42.79/11.79 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 42.97/11.85 Prover 3: Preprocessing ...
% 42.97/11.87 Prover 3: Constructing countermodel ...
% 64.08/27.67 Prover 3: proved (15881ms)
% 64.08/27.68 Prover 1: stopped
% 64.08/27.68 Prover 2: stopped
% 64.08/27.68
% 64.08/27.68 No countermodel exists, formula is valid
% 64.08/27.68 % SZS status Theorem for theBenchmark
% 64.08/27.68
% 64.08/27.68 Generating proof ... found it (size 174)
% 67.24/28.43
% 67.24/28.43 % SZS output start Proof for theBenchmark
% 67.24/28.43 Assumed formulas after preprocessing and simplification:
% 67.24/28.43 | (0) ? [v0] : ? [v1] : ? [v2] : ( ~ (tptp5 = tptp2) & ~ (tptp5 = tptp3) & ~ (tptp5 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp3 = tptp4) & tptp1(v0, tptp0, v1) & activity(tptp0) & atomic(tptp5) & atomic(tptp2) & atomic(tptp3) & atomic(tptp4) & occurrence_of(v2, v0) & ~ atomic(tptp0) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ send_message(v3, v4, v5, v6, v7) | ~ occurrence_of(v8, v3) | min_precedes(v6, v8, v7)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ send_message(v3, v4, v5, v6, v7) | activity(v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ send_message(v3, v4, v5, v6, v7) | root(v6, v7)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ send_message(v3, v4, v5, v6, v7) | root(v4, v5)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ send_message(v3, v4, v5, v6, v7) | atomic(v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ subactivity_occurrence(v6, v4) | ~ subactivity_occurrence(v5, v4) | ~ arboreal(v6) | ~ arboreal(v5) | ~ occurrence_of(v4, v3) | min_precedes(v6, v5, v3) | min_precedes(v5, v6, v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ leaf_occ(v4, v5) | ~ leaf_occ(v3, v5) | ~ occurrence_of(v5, v6) | atomic(v6)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ root_occ(v4, v5) | ~ root_occ(v3, v5) | ~ occurrence_of(v5, v6)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ tptp1(v3, v4, v5) | ~ occurrence_of(v6, v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (send_message(v7, v8, v9, v5, v4) & root_occ(v10, v6) & occurrence_of(v10, v7))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ~ send_message(tptp2, v3, v4, v5, v6) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ~ send_message(tptp3, v3, v4, v5, v6) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ~ send_message(tptp4, v3, v4, v5, v6) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ next_subocc(v3, v4, v5) | ~ min_precedes(v6, v4, v5) | ~ min_precedes(v3, v6, v5)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ leaf_occ(v4, v3) | ~ occurrence_of(v3, v5) | ~ min_precedes(v4, v6, v5)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ root_occ(v4, v3) | ~ occurrence_of(v3, v5) | ~ min_precedes(v6, v4, v5)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ min_precedes(v4, v5, v6) | ~ min_precedes(v3, v4, v6) | min_precedes(v3, v5, v6)) & ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ occurrence_of(v3, v5) | ~ occurrence_of(v3, v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ tptp1(v3, v4, v5) | ~ atomic(v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ tptp1(v3, v4, v5) | ~ atomic(v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ tptp1(v3, v4, v5) | activity(v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ tptp1(v3, v4, v5) | root(v5, v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ subactivity(v4, v5) | ~ atomic(v5) | ~ occurrence_of(v3, v5) | atocc(v3, v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ leaf(v3, v5) | ~ subactivity_occurrence(v3, v4) | ~ occurrence_of(v4, v5) | leaf_occ(v3, v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ leaf(v3, v4) | ~ min_precedes(v3, v5, v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ subactivity_occurrence(v3, v4) | ~ root(v3, v5) | ~ occurrence_of(v4, v5) | root_occ(v3, v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ root(v4, v5) | ~ min_precedes(v3, v4, v5)) & ! [v3] : ! [v4] : ! [v5] : ( ~ next_subocc(v3, v4, v5) | arboreal(v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ next_subocc(v3, v4, v5) | arboreal(v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ next_subocc(v3, v4, v5) | min_precedes(v3, v4, v5)) & ! [v3] : ! [v4] : ! [v5] : ( ~ earlier(v4, v5) | ~ earlier(v3, v4) | earlier(v3, v5)) & ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v5, v3, v4) | leaf(v3, v4) | ? [v6] : min_precedes(v3, v6, v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v4, v5, v3) | ? [v6] : ? [v7] : (subactivity(v7, v3) & subactivity(v6, v3) & atocc(v5, v7) & atocc(v4, v6))) & ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v4, v5, v3) | ? [v6] : (subactivity_occurrence(v5, v6) & subactivity_occurrence(v4, v6) & occurrence_of(v6, v3))) & ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v3, v4, v5) | precedes(v3, v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v3, v4, v5) | next_subocc(v3, v4, v5) | ? [v6] : (min_precedes(v6, v4, v5) & min_precedes(v3, v6, v5))) & ! [v3] : ! [v4] : ~ tptp1(tptp0, v3, v4) & ! [v3] : ! [v4] : ( ~ atocc(v3, v4) | ~ legal(v3) | root(v3, v4)) & ! [v3] : ! [v4] : ( ~ atocc(v3, v4) | ? [v5] : (subactivity(v4, v5) & atomic(v5) & occurrence_of(v3, v5))) & ! [v3] : ! [v4] : ( ~ leaf(v3, v4) | root(v3, v4) | ? [v5] : min_precedes(v5, v3, v4)) & ! [v3] : ! [v4] : ( ~ leaf(v3, v4) | atomic(v4) | ? [v5] : (leaf_occ(v3, v5) & occurrence_of(v5, v4))) & ! [v3] : ! [v4] : ( ~ subactivity_occurrence(v3, v4) | activity_occurrence(v4)) & ! [v3] : ! [v4] : ( ~ subactivity_occurrence(v3, v4) | activity_occurrence(v3)) & ! [v3] : ! [v4] : ( ~ legal(v4) | ~ earlier(v3, v4) | precedes(v3, v4)) & ! [v3] : ! [v4] : ( ~ root(v4, v3) | ? [v5] : (subactivity(v5, v3) & atocc(v4, v5))) & ! [v3] : ! [v4] : ( ~ root(v3, v4) | leaf(v3, v4) | ? [v5] : min_precedes(v3, v5, v4)) & ! [v3] : ! [v4] : ( ~ root(v3, v4) | legal(v3)) & ! [v3] : ! [v4] : ( ~ precedes(v3, v4) | legal(v4)) & ! [v3] : ! [v4] : ( ~ precedes(v3, v4) | earlier(v3, v4)) & ! [v3] : ! [v4] : ( ~ arboreal(v3) | ~ occurrence_of(v3, v4) | atomic(v4)) & ! [v3] : ! [v4] : ( ~ leaf_occ(v3, v4) | ? [v5] : (leaf(v3, v5) & subactivity_occurrence(v3, v4) & occurrence_of(v4, v5))) & ! [v3] : ! [v4] : ( ~ atomic(v4) | ~ occurrence_of(v3, v4) | arboreal(v3)) & ! [v3] : ! [v4] : ( ~ root_occ(v3, v4) | ? [v5] : (subactivity_occurrence(v3, v4) & root(v3, v5) & occurrence_of(v4, v5))) & ! [v3] : ! [v4] : ( ~ occurrence_of(v4, v3) | activity(v3)) & ! [v3] : ! [v4] : ( ~ occurrence_of(v4, v3) | activity_occurrence(v4)) & ! [v3] : ! [v4] : ( ~ occurrence_of(v4, v3) | atomic(v3) | ? [v5] : (subactivity_occurrence(v5, v4) & root(v5, v3))) & ! [v3] : ! [v4] : ( ~ earlier(v4, v3) | ~ earlier(v3, v4)) & ! [v3] : ( ~ activity(v3) | subactivity(v3, v3)) & ! [v3] : ( ~ activity_occurrence(v3) | ? [v4] : (activity(v4) & occurrence_of(v3, v4))) & ! [v3] : ( ~ legal(v3) | arboreal(v3)) & ! [v3] : ( ~ occurrence_of(v3, tptp0) | ? [v4] : ? [v5] : (next_subocc(v4, v5, tptp0) & leaf_occ(v5, v3) & root_occ(v4, v3) & occurrence_of(v4, tptp4) & (occurrence_of(v5, tptp2) | occurrence_of(v5, tptp3)))))
% 67.24/28.46 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 67.24/28.46 | (1) ~ (tptp5 = tptp2) & ~ (tptp5 = tptp3) & ~ (tptp5 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp3 = tptp4) & tptp1(all_0_2_2, tptp0, all_0_1_1) & activity(tptp0) & atomic(tptp5) & atomic(tptp2) & atomic(tptp3) & atomic(tptp4) & occurrence_of(all_0_0_0, all_0_2_2) & ~ atomic(tptp0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ send_message(v0, v1, v2, v3, v4) | ~ occurrence_of(v5, v0) | min_precedes(v3, v5, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | activity(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | root(v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | root(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | atomic(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ arboreal(v3) | ~ arboreal(v2) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (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] : ( ~ tptp1(v0, v1, v2) | ~ occurrence_of(v3, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (send_message(v4, v5, v6, v2, v1) & root_occ(v7, v3) & occurrence_of(v7, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ send_message(tptp2, v0, v1, v2, v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ send_message(tptp3, v0, v1, v2, v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ send_message(tptp4, v0, v1, 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] : ( ~ tptp1(v0, v1, v2) | ~ atomic(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | ~ atomic(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | activity(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | root(v2, 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] : ~ tptp1(tptp0, v0, v1) & ! [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(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) | 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)) & ! [v0] : ( ~ occurrence_of(v0, tptp0) | ? [v1] : ? [v2] : (next_subocc(v1, v2, tptp0) & leaf_occ(v2, v0) & root_occ(v1, v0) & occurrence_of(v1, tptp4) & (occurrence_of(v2, tptp2) | occurrence_of(v2, tptp3))))
% 67.24/28.47 |
% 67.24/28.47 | Applying alpha-rule on (1) yields:
% 67.24/28.47 | (2) ~ (tptp3 = tptp4)
% 67.24/28.47 | (3) ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1))
% 67.24/28.47 | (4) ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1))
% 67.24/28.47 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | atomic(v0))
% 67.24/28.47 | (6) ! [v0] : ( ~ occurrence_of(v0, tptp0) | ? [v1] : ? [v2] : (next_subocc(v1, v2, tptp0) & leaf_occ(v2, v0) & root_occ(v1, v0) & occurrence_of(v1, tptp4) & (occurrence_of(v2, tptp2) | occurrence_of(v2, tptp3))))
% 67.24/28.47 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1))
% 67.24/28.47 | (8) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0))
% 67.24/28.47 | (9) ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0))
% 67.24/28.47 | (10) ! [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))
% 67.24/28.47 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0))
% 67.24/28.47 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0)))
% 67.24/28.47 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2) | ~ min_precedes(v1, v3, v2))
% 67.24/28.47 | (14) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1))
% 67.24/28.47 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1))
% 67.24/28.47 | (16) ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0))
% 67.24/28.47 | (17) ! [v0] : ! [v1] : ~ tptp1(tptp0, v0, v1)
% 67.24/28.47 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ send_message(v0, v1, v2, v3, v4) | ~ occurrence_of(v5, v0) | min_precedes(v3, v5, v4))
% 67.24/28.47 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ root(v1, v2) | ~ min_precedes(v0, v1, v2))
% 67.24/28.47 | (20) ~ (tptp5 = tptp4)
% 67.24/28.47 | (21) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1))
% 67.24/28.47 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : ? [v4] : (subactivity(v4, v0) & subactivity(v3, v0) & atocc(v2, v4) & atocc(v1, v3)))
% 67.24/28.47 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ send_message(tptp3, v0, v1, v2, v3)
% 67.24/28.47 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | ~ atomic(v0))
% 67.24/28.47 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ earlier(v0, v1) | earlier(v0, v2))
% 67.24/28.47 | (26) atomic(tptp3)
% 67.24/28.47 | (27) tptp1(all_0_2_2, tptp0, all_0_1_1)
% 67.24/28.47 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | root(v2, v1))
% 67.24/28.47 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | root(v3, v4))
% 67.24/28.47 | (30) ! [v0] : ! [v1] : ( ~ legal(v1) | ~ earlier(v0, v1) | precedes(v0, v1))
% 67.24/28.47 | (31) ~ (tptp2 = tptp4)
% 67.24/28.47 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ send_message(tptp2, v0, v1, v2, v3)
% 67.24/28.47 | (33) ~ (tptp2 = tptp3)
% 67.24/28.47 | (34) ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1)))
% 67.24/28.47 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | ~ atomic(v1))
% 67.24/28.47 | (36) ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ occurrence_of(v0, v1) | atomic(v1))
% 67.24/28.47 | (37) ~ atomic(tptp0)
% 67.24/28.47 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ root_occ(v1, v2) | ~ root_occ(v0, v2) | ~ occurrence_of(v2, v3))
% 67.24/28.47 | (39) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1))
% 67.24/28.47 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ send_message(tptp4, v0, v1, v2, v3)
% 67.24/28.47 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v1) | ~ min_precedes(v0, v2, v1))
% 67.24/28.47 | (42) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) | ? [v2] : min_precedes(v2, v0, v1))
% 67.24/28.47 | (43) atomic(tptp2)
% 67.24/28.47 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ leaf_occ(v1, v2) | ~ leaf_occ(v0, v2) | ~ occurrence_of(v2, v3) | atomic(v3))
% 67.24/28.47 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2) | ~ min_precedes(v3, v1, v2))
% 67.24/28.47 | (46) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0)))
% 67.24/28.47 | (47) ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2)))
% 67.24/28.47 | (48) ! [v0] : ( ~ activity(v0) | subactivity(v0, v0))
% 67.24/28.47 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ tptp1(v0, v1, v2) | ~ occurrence_of(v3, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (send_message(v4, v5, v6, v2, v1) & root_occ(v7, v3) & occurrence_of(v7, v4)))
% 67.24/28.47 | (50) ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2)))
% 67.24/28.47 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1))
% 67.24/28.48 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v2) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, v2) | leaf_occ(v0, v1))
% 67.24/28.48 | (53) ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 67.24/28.48 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1))
% 67.24/28.48 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | activity(v0))
% 67.24/28.48 | (56) ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ~ legal(v0) | root(v0, v1))
% 67.24/28.48 | (57) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1))
% 67.24/28.48 | (58) atomic(tptp4)
% 67.24/28.48 | (59) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1))
% 67.24/28.48 | (60) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0))
% 67.24/28.48 | (61) occurrence_of(all_0_0_0, all_0_2_2)
% 67.24/28.48 | (62) ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (subactivity(v2, v0) & atocc(v1, v2)))
% 67.24/28.48 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2))
% 67.24/28.48 | (64) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) | ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1)))
% 67.24/28.48 | (65) ~ (tptp5 = tptp3)
% 67.24/28.48 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v0, v1, v2) | ~ min_precedes(v3, v1, v2) | ~ min_precedes(v0, v3, v2))
% 67.24/28.48 | (67) ~ (tptp5 = tptp2)
% 67.24/28.48 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | root(v1, v2))
% 67.24/28.48 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | activity(v0))
% 67.24/28.48 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2)))
% 67.24/28.48 | (71) activity(tptp0)
% 67.24/28.48 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v0, v2, v3))
% 67.24/28.48 | (73) atomic(tptp5)
% 67.24/28.48 | (74) ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2)))
% 67.24/28.48 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1))
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (35) with all_0_1_1, tptp0, all_0_2_2 and discharging atoms tptp1(all_0_2_2, tptp0, all_0_1_1), yields:
% 67.24/28.48 | (37) ~ atomic(tptp0)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (28) with all_0_1_1, tptp0, all_0_2_2 and discharging atoms tptp1(all_0_2_2, tptp0, all_0_1_1), yields:
% 67.24/28.48 | (77) root(all_0_1_1, tptp0)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (49) with all_0_0_0, all_0_1_1, tptp0, all_0_2_2 and discharging atoms tptp1(all_0_2_2, tptp0, all_0_1_1), occurrence_of(all_0_0_0, all_0_2_2), yields:
% 67.24/28.48 | (78) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (send_message(v0, v1, v2, all_0_1_1, tptp0) & root_occ(v3, all_0_0_0) & occurrence_of(v3, v0))
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (21) with all_0_0_0, all_0_2_2 and discharging atoms occurrence_of(all_0_0_0, all_0_2_2), yields:
% 67.24/28.48 | (79) activity_occurrence(all_0_0_0)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (46) with all_0_0_0, all_0_2_2 and discharging atoms occurrence_of(all_0_0_0, all_0_2_2), yields:
% 67.24/28.48 | (80) atomic(all_0_2_2) | ? [v0] : (subactivity_occurrence(v0, all_0_0_0) & root(v0, all_0_2_2))
% 67.24/28.48 |
% 67.24/28.48 | Instantiating (78) with all_17_0_3, all_17_1_4, all_17_2_5, all_17_3_6 yields:
% 67.24/28.48 | (81) send_message(all_17_3_6, all_17_2_5, all_17_1_4, all_0_1_1, tptp0) & root_occ(all_17_0_3, all_0_0_0) & occurrence_of(all_17_0_3, all_17_3_6)
% 67.24/28.48 |
% 67.24/28.48 | Applying alpha-rule on (81) yields:
% 67.24/28.48 | (82) send_message(all_17_3_6, all_17_2_5, all_17_1_4, all_0_1_1, tptp0)
% 67.24/28.48 | (83) root_occ(all_17_0_3, all_0_0_0)
% 67.24/28.48 | (84) occurrence_of(all_17_0_3, all_17_3_6)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (32) with tptp0, all_0_1_1, all_17_1_4, all_17_2_5 yields:
% 67.24/28.48 | (85) ~ send_message(tptp2, all_17_2_5, all_17_1_4, all_0_1_1, tptp0)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (23) with tptp0, all_0_1_1, all_17_1_4, all_17_2_5 yields:
% 67.24/28.48 | (86) ~ send_message(tptp3, all_17_2_5, all_17_1_4, all_0_1_1, tptp0)
% 67.24/28.48 |
% 67.24/28.48 | Using (82) and (85) yields:
% 67.24/28.48 | (87) ~ (all_17_3_6 = tptp2)
% 67.24/28.48 |
% 67.24/28.48 | Using (82) and (86) yields:
% 67.24/28.48 | (88) ~ (all_17_3_6 = tptp3)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (5) with tptp0, all_0_1_1, all_17_1_4, all_17_2_5, all_17_3_6 and discharging atoms send_message(all_17_3_6, all_17_2_5, all_17_1_4, all_0_1_1, tptp0), yields:
% 67.24/28.48 | (89) atomic(all_17_3_6)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (34) with all_0_0_0 and discharging atoms activity_occurrence(all_0_0_0), yields:
% 67.24/28.48 | (90) ? [v0] : (activity(v0) & occurrence_of(all_0_0_0, v0))
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (50) with all_0_0_0, all_17_0_3 and discharging atoms root_occ(all_17_0_3, all_0_0_0), yields:
% 67.24/28.48 | (91) ? [v0] : (subactivity_occurrence(all_17_0_3, all_0_0_0) & root(all_17_0_3, v0) & occurrence_of(all_0_0_0, v0))
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (18) with all_17_0_3, tptp0, all_0_1_1, all_17_1_4, all_17_2_5, all_17_3_6 and discharging atoms send_message(all_17_3_6, all_17_2_5, all_17_1_4, all_0_1_1, tptp0), occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.24/28.48 | (92) min_precedes(all_0_1_1, all_17_0_3, tptp0)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (60) with all_17_0_3, all_17_3_6 and discharging atoms occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.24/28.48 | (93) activity(all_17_3_6)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating formula (21) with all_17_0_3, all_17_3_6 and discharging atoms occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.24/28.48 | (94) activity_occurrence(all_17_0_3)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating (90) with all_33_0_7 yields:
% 67.24/28.48 | (95) activity(all_33_0_7) & occurrence_of(all_0_0_0, all_33_0_7)
% 67.24/28.48 |
% 67.24/28.48 | Applying alpha-rule on (95) yields:
% 67.24/28.48 | (96) activity(all_33_0_7)
% 67.24/28.48 | (97) occurrence_of(all_0_0_0, all_33_0_7)
% 67.24/28.48 |
% 67.24/28.48 | Instantiating (91) with all_37_0_9 yields:
% 67.24/28.48 | (98) subactivity_occurrence(all_17_0_3, all_0_0_0) & root(all_17_0_3, all_37_0_9) & occurrence_of(all_0_0_0, all_37_0_9)
% 67.24/28.48 |
% 67.24/28.48 | Applying alpha-rule on (98) yields:
% 67.24/28.49 | (99) subactivity_occurrence(all_17_0_3, all_0_0_0)
% 67.24/28.49 | (100) root(all_17_0_3, all_37_0_9)
% 67.24/28.49 | (101) occurrence_of(all_0_0_0, all_37_0_9)
% 67.24/28.49 |
% 67.24/28.49 | Instantiating formula (24) with all_0_1_1, tptp0, all_0_2_2 and discharging atoms tptp1(all_0_2_2, tptp0, all_0_1_1), yields:
% 67.24/28.49 | (102) ~ atomic(all_0_2_2)
% 67.24/28.49 |
% 67.24/28.49 | Instantiating formula (59) with all_37_0_9, all_0_2_2, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_37_0_9), occurrence_of(all_0_0_0, all_0_2_2), yields:
% 67.24/28.49 | (103) all_37_0_9 = all_0_2_2
% 67.24/28.49 |
% 67.24/28.49 | Instantiating formula (59) with all_33_0_7, all_37_0_9, all_0_0_0 and discharging atoms occurrence_of(all_0_0_0, all_37_0_9), occurrence_of(all_0_0_0, all_33_0_7), yields:
% 67.24/28.49 | (104) all_37_0_9 = all_33_0_7
% 67.24/28.49 |
% 67.24/28.49 | Combining equations (103,104) yields a new equation:
% 67.24/28.49 | (105) all_33_0_7 = all_0_2_2
% 67.24/28.49 |
% 67.24/28.49 | Combining equations (105,104) yields a new equation:
% 67.24/28.49 | (103) all_37_0_9 = all_0_2_2
% 67.24/28.49 |
% 67.24/28.49 | From (103) and (100) follows:
% 67.24/28.49 | (107) root(all_17_0_3, all_0_2_2)
% 67.24/28.49 |
% 67.24/28.49 | From (105) and (97) follows:
% 67.24/28.49 | (61) occurrence_of(all_0_0_0, all_0_2_2)
% 67.24/28.49 |
% 67.24/28.49 +-Applying beta-rule and splitting (80), into two cases.
% 67.24/28.49 |-Branch one:
% 67.24/28.49 | (109) atomic(all_0_2_2)
% 67.24/28.49 |
% 67.24/28.49 | Using (109) and (102) yields:
% 67.24/28.49 | (110) $false
% 67.24/28.49 |
% 67.24/28.49 |-The branch is then unsatisfiable
% 67.24/28.49 |-Branch two:
% 67.24/28.49 | (102) ~ atomic(all_0_2_2)
% 67.24/28.49 | (112) ? [v0] : (subactivity_occurrence(v0, all_0_0_0) & root(v0, all_0_2_2))
% 67.72/28.49 |
% 67.72/28.49 | Instantiating (112) with all_47_0_10 yields:
% 67.72/28.49 | (113) subactivity_occurrence(all_47_0_10, all_0_0_0) & root(all_47_0_10, all_0_2_2)
% 67.72/28.49 |
% 67.72/28.49 | Applying alpha-rule on (113) yields:
% 67.72/28.49 | (114) subactivity_occurrence(all_47_0_10, all_0_0_0)
% 67.72/28.49 | (115) root(all_47_0_10, all_0_2_2)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (48) with all_17_3_6 and discharging atoms activity(all_17_3_6), yields:
% 67.72/28.49 | (116) subactivity(all_17_3_6, all_17_3_6)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (34) with all_17_0_3 and discharging atoms activity_occurrence(all_17_0_3), yields:
% 67.72/28.49 | (117) ? [v0] : (activity(v0) & occurrence_of(all_17_0_3, v0))
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (75) with all_0_2_2, all_0_0_0, all_47_0_10 and discharging atoms subactivity_occurrence(all_47_0_10, all_0_0_0), root(all_47_0_10, all_0_2_2), occurrence_of(all_0_0_0, all_0_2_2), yields:
% 67.72/28.49 | (118) root_occ(all_47_0_10, all_0_0_0)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (62) with all_47_0_10, all_0_2_2 and discharging atoms root(all_47_0_10, all_0_2_2), yields:
% 67.72/28.49 | (119) ? [v0] : (subactivity(v0, all_0_2_2) & atocc(all_47_0_10, v0))
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (9) with all_0_2_2, all_47_0_10 and discharging atoms root(all_47_0_10, all_0_2_2), yields:
% 67.72/28.49 | (120) legal(all_47_0_10)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (62) with all_17_0_3, all_0_2_2 and discharging atoms root(all_17_0_3, all_0_2_2), yields:
% 67.72/28.49 | (121) ? [v0] : (subactivity(v0, all_0_2_2) & atocc(all_17_0_3, v0))
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (16) with all_17_3_6, all_17_0_3 and discharging atoms atomic(all_17_3_6), occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.72/28.49 | (122) arboreal(all_17_0_3)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (7) with all_0_1_1, tptp0, all_17_0_3 and discharging atoms min_precedes(all_0_1_1, all_17_0_3, tptp0), yields:
% 67.72/28.49 | (123) leaf(all_17_0_3, tptp0) | ? [v0] : min_precedes(all_17_0_3, v0, tptp0)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (22) with all_17_0_3, all_0_1_1, tptp0 and discharging atoms min_precedes(all_0_1_1, all_17_0_3, tptp0), yields:
% 67.72/28.49 | (124) ? [v0] : ? [v1] : (subactivity(v1, tptp0) & subactivity(v0, tptp0) & atocc(all_17_0_3, v1) & atocc(all_0_1_1, v0))
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (12) with all_17_0_3, all_0_1_1, tptp0 and discharging atoms min_precedes(all_0_1_1, all_17_0_3, tptp0), yields:
% 67.72/28.49 | (125) ? [v0] : (subactivity_occurrence(all_17_0_3, v0) & subactivity_occurrence(all_0_1_1, v0) & occurrence_of(v0, tptp0))
% 67.72/28.49 |
% 67.72/28.49 | Instantiating (121) with all_67_0_11 yields:
% 67.72/28.49 | (126) subactivity(all_67_0_11, all_0_2_2) & atocc(all_17_0_3, all_67_0_11)
% 67.72/28.49 |
% 67.72/28.49 | Applying alpha-rule on (126) yields:
% 67.72/28.49 | (127) subactivity(all_67_0_11, all_0_2_2)
% 67.72/28.49 | (128) atocc(all_17_0_3, all_67_0_11)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating (125) with all_69_0_12 yields:
% 67.72/28.49 | (129) subactivity_occurrence(all_17_0_3, all_69_0_12) & subactivity_occurrence(all_0_1_1, all_69_0_12) & occurrence_of(all_69_0_12, tptp0)
% 67.72/28.49 |
% 67.72/28.49 | Applying alpha-rule on (129) yields:
% 67.72/28.49 | (130) subactivity_occurrence(all_17_0_3, all_69_0_12)
% 67.72/28.49 | (131) subactivity_occurrence(all_0_1_1, all_69_0_12)
% 67.72/28.49 | (132) occurrence_of(all_69_0_12, tptp0)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating (119) with all_71_0_13 yields:
% 67.72/28.49 | (133) subactivity(all_71_0_13, all_0_2_2) & atocc(all_47_0_10, all_71_0_13)
% 67.72/28.49 |
% 67.72/28.49 | Applying alpha-rule on (133) yields:
% 67.72/28.49 | (134) subactivity(all_71_0_13, all_0_2_2)
% 67.72/28.49 | (135) atocc(all_47_0_10, all_71_0_13)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating (117) with all_73_0_14 yields:
% 67.72/28.49 | (136) activity(all_73_0_14) & occurrence_of(all_17_0_3, all_73_0_14)
% 67.72/28.49 |
% 67.72/28.49 | Applying alpha-rule on (136) yields:
% 67.72/28.49 | (137) activity(all_73_0_14)
% 67.72/28.49 | (138) occurrence_of(all_17_0_3, all_73_0_14)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating (124) with all_77_0_16, all_77_1_17 yields:
% 67.72/28.49 | (139) subactivity(all_77_0_16, tptp0) & subactivity(all_77_1_17, tptp0) & atocc(all_17_0_3, all_77_0_16) & atocc(all_0_1_1, all_77_1_17)
% 67.72/28.49 |
% 67.72/28.49 | Applying alpha-rule on (139) yields:
% 67.72/28.49 | (140) subactivity(all_77_0_16, tptp0)
% 67.72/28.49 | (141) subactivity(all_77_1_17, tptp0)
% 67.72/28.49 | (142) atocc(all_17_0_3, all_77_0_16)
% 67.72/28.49 | (143) atocc(all_0_1_1, all_77_1_17)
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (38) with all_0_2_2, all_0_0_0, all_47_0_10, all_17_0_3 and discharging atoms root_occ(all_47_0_10, all_0_0_0), root_occ(all_17_0_3, all_0_0_0), occurrence_of(all_0_0_0, all_0_2_2), yields:
% 67.72/28.49 | (144) all_47_0_10 = all_17_0_3
% 67.72/28.49 |
% 67.72/28.49 | Instantiating formula (59) with all_73_0_14, all_17_3_6, all_17_0_3 and discharging atoms occurrence_of(all_17_0_3, all_73_0_14), occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.72/28.49 | (145) all_73_0_14 = all_17_3_6
% 67.72/28.49 |
% 67.72/28.49 | From (144) and (135) follows:
% 67.72/28.49 | (146) atocc(all_17_0_3, all_71_0_13)
% 67.72/28.49 |
% 67.72/28.49 | From (144) and (120) follows:
% 67.72/28.50 | (147) legal(all_17_0_3)
% 67.72/28.50 |
% 67.72/28.50 | From (145) and (138) follows:
% 67.72/28.50 | (84) occurrence_of(all_17_0_3, all_17_3_6)
% 67.72/28.50 |
% 67.72/28.50 | Instantiating formula (51) with all_17_3_6, all_17_3_6, all_17_0_3 and discharging atoms subactivity(all_17_3_6, all_17_3_6), atomic(all_17_3_6), occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.72/28.50 | (149) atocc(all_17_0_3, all_17_3_6)
% 67.72/28.50 |
% 67.72/28.50 | Instantiating formula (74) with all_77_0_16, all_17_0_3 and discharging atoms atocc(all_17_0_3, all_77_0_16), yields:
% 67.72/28.50 | (150) ? [v0] : (subactivity(all_77_0_16, v0) & atomic(v0) & occurrence_of(all_17_0_3, v0))
% 67.72/28.50 |
% 67.72/28.50 | Instantiating formula (74) with all_71_0_13, all_17_0_3 and discharging atoms atocc(all_17_0_3, all_71_0_13), yields:
% 67.72/28.50 | (151) ? [v0] : (subactivity(all_71_0_13, v0) & atomic(v0) & occurrence_of(all_17_0_3, v0))
% 67.72/28.50 |
% 67.72/28.50 | Instantiating formula (74) with all_67_0_11, all_17_0_3 and discharging atoms atocc(all_17_0_3, all_67_0_11), yields:
% 67.72/28.50 | (152) ? [v0] : (subactivity(all_67_0_11, v0) & atomic(v0) & occurrence_of(all_17_0_3, v0))
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (56) with all_77_0_16, all_17_0_3 and discharging atoms atocc(all_17_0_3, all_77_0_16), legal(all_17_0_3), yields:
% 67.76/28.50 | (153) root(all_17_0_3, all_77_0_16)
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (56) with all_71_0_13, all_17_0_3 and discharging atoms atocc(all_17_0_3, all_71_0_13), legal(all_17_0_3), yields:
% 67.76/28.50 | (154) root(all_17_0_3, all_71_0_13)
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (56) with all_67_0_11, all_17_0_3 and discharging atoms atocc(all_17_0_3, all_67_0_11), legal(all_17_0_3), yields:
% 67.76/28.50 | (155) root(all_17_0_3, all_67_0_11)
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (75) with tptp0, all_69_0_12, all_0_1_1 and discharging atoms subactivity_occurrence(all_0_1_1, all_69_0_12), root(all_0_1_1, tptp0), occurrence_of(all_69_0_12, tptp0), yields:
% 67.76/28.50 | (156) root_occ(all_0_1_1, all_69_0_12)
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (6) with all_69_0_12 and discharging atoms occurrence_of(all_69_0_12, tptp0), yields:
% 67.76/28.50 | (157) ? [v0] : ? [v1] : (next_subocc(v0, v1, tptp0) & leaf_occ(v1, all_69_0_12) & root_occ(v0, all_69_0_12) & occurrence_of(v0, tptp4) & (occurrence_of(v1, tptp2) | occurrence_of(v1, tptp3)))
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (21) with all_69_0_12, tptp0 and discharging atoms occurrence_of(all_69_0_12, tptp0), yields:
% 67.76/28.50 | (158) activity_occurrence(all_69_0_12)
% 67.76/28.50 |
% 67.76/28.50 | Instantiating (157) with all_109_0_20, all_109_1_21 yields:
% 67.76/28.50 | (159) next_subocc(all_109_1_21, all_109_0_20, tptp0) & leaf_occ(all_109_0_20, all_69_0_12) & root_occ(all_109_1_21, all_69_0_12) & occurrence_of(all_109_1_21, tptp4) & (occurrence_of(all_109_0_20, tptp2) | occurrence_of(all_109_0_20, tptp3))
% 67.76/28.50 |
% 67.76/28.50 | Applying alpha-rule on (159) yields:
% 67.76/28.50 | (160) root_occ(all_109_1_21, all_69_0_12)
% 67.76/28.50 | (161) occurrence_of(all_109_0_20, tptp2) | occurrence_of(all_109_0_20, tptp3)
% 67.76/28.50 | (162) next_subocc(all_109_1_21, all_109_0_20, tptp0)
% 67.76/28.50 | (163) occurrence_of(all_109_1_21, tptp4)
% 67.76/28.50 | (164) leaf_occ(all_109_0_20, all_69_0_12)
% 67.76/28.50 |
% 67.76/28.50 | Instantiating (152) with all_111_0_22 yields:
% 67.76/28.50 | (165) subactivity(all_67_0_11, all_111_0_22) & atomic(all_111_0_22) & occurrence_of(all_17_0_3, all_111_0_22)
% 67.76/28.50 |
% 67.76/28.50 | Applying alpha-rule on (165) yields:
% 67.76/28.50 | (166) subactivity(all_67_0_11, all_111_0_22)
% 67.76/28.50 | (167) atomic(all_111_0_22)
% 67.76/28.50 | (168) occurrence_of(all_17_0_3, all_111_0_22)
% 67.76/28.50 |
% 67.76/28.50 | Instantiating (151) with all_113_0_23 yields:
% 67.76/28.50 | (169) subactivity(all_71_0_13, all_113_0_23) & atomic(all_113_0_23) & occurrence_of(all_17_0_3, all_113_0_23)
% 67.76/28.50 |
% 67.76/28.50 | Applying alpha-rule on (169) yields:
% 67.76/28.50 | (170) subactivity(all_71_0_13, all_113_0_23)
% 67.76/28.50 | (171) atomic(all_113_0_23)
% 67.76/28.50 | (172) occurrence_of(all_17_0_3, all_113_0_23)
% 67.76/28.50 |
% 67.76/28.50 | Instantiating (150) with all_119_0_26 yields:
% 67.76/28.50 | (173) subactivity(all_77_0_16, all_119_0_26) & atomic(all_119_0_26) & occurrence_of(all_17_0_3, all_119_0_26)
% 67.76/28.50 |
% 67.76/28.50 | Applying alpha-rule on (173) yields:
% 67.76/28.50 | (174) subactivity(all_77_0_16, all_119_0_26)
% 67.76/28.50 | (175) atomic(all_119_0_26)
% 67.76/28.50 | (176) occurrence_of(all_17_0_3, all_119_0_26)
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (38) with tptp0, all_69_0_12, all_0_1_1, all_109_1_21 and discharging atoms root_occ(all_109_1_21, all_69_0_12), root_occ(all_0_1_1, all_69_0_12), occurrence_of(all_69_0_12, tptp0), yields:
% 67.76/28.50 | (177) all_109_1_21 = all_0_1_1
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (59) with all_119_0_26, all_17_3_6, all_17_0_3 and discharging atoms occurrence_of(all_17_0_3, all_119_0_26), occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.76/28.50 | (178) all_119_0_26 = all_17_3_6
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (59) with all_113_0_23, all_119_0_26, all_17_0_3 and discharging atoms occurrence_of(all_17_0_3, all_119_0_26), occurrence_of(all_17_0_3, all_113_0_23), yields:
% 67.76/28.50 | (179) all_119_0_26 = all_113_0_23
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (59) with all_111_0_22, all_113_0_23, all_17_0_3 and discharging atoms occurrence_of(all_17_0_3, all_113_0_23), occurrence_of(all_17_0_3, all_111_0_22), yields:
% 67.76/28.50 | (180) all_113_0_23 = all_111_0_22
% 67.76/28.50 |
% 67.76/28.50 | Combining equations (179,178) yields a new equation:
% 67.76/28.50 | (181) all_113_0_23 = all_17_3_6
% 67.76/28.50 |
% 67.76/28.50 | Simplifying 181 yields:
% 67.76/28.50 | (182) all_113_0_23 = all_17_3_6
% 67.76/28.50 |
% 67.76/28.50 | Combining equations (180,182) yields a new equation:
% 67.76/28.50 | (183) all_111_0_22 = all_17_3_6
% 67.76/28.50 |
% 67.76/28.50 | Simplifying 183 yields:
% 67.76/28.50 | (184) all_111_0_22 = all_17_3_6
% 67.76/28.50 |
% 67.76/28.50 | From (177) and (162) follows:
% 67.76/28.50 | (185) next_subocc(all_0_1_1, all_109_0_20, tptp0)
% 67.76/28.50 |
% 67.76/28.50 | From (177) and (160) follows:
% 67.76/28.50 | (156) root_occ(all_0_1_1, all_69_0_12)
% 67.76/28.50 |
% 67.76/28.50 | From (184) and (168) follows:
% 67.76/28.50 | (84) occurrence_of(all_17_0_3, all_17_3_6)
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (34) with all_69_0_12 and discharging atoms activity_occurrence(all_69_0_12), yields:
% 67.76/28.50 | (188) ? [v0] : (activity(v0) & occurrence_of(all_69_0_12, v0))
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (74) with all_17_3_6, all_17_0_3 and discharging atoms atocc(all_17_0_3, all_17_3_6), yields:
% 67.76/28.50 | (189) ? [v0] : (subactivity(all_17_3_6, v0) & atomic(v0) & occurrence_of(all_17_0_3, v0))
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (62) with all_17_0_3, all_77_0_16 and discharging atoms root(all_17_0_3, all_77_0_16), yields:
% 67.76/28.50 | (190) ? [v0] : (subactivity(v0, all_77_0_16) & atocc(all_17_0_3, v0))
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (62) with all_17_0_3, all_71_0_13 and discharging atoms root(all_17_0_3, all_71_0_13), yields:
% 67.76/28.50 | (191) ? [v0] : (subactivity(v0, all_71_0_13) & atocc(all_17_0_3, v0))
% 67.76/28.50 |
% 67.76/28.50 | Instantiating formula (62) with all_17_0_3, all_67_0_11 and discharging atoms root(all_17_0_3, all_67_0_11), yields:
% 67.80/28.51 | (192) ? [v0] : (subactivity(v0, all_67_0_11) & atocc(all_17_0_3, v0))
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (15) with tptp0, all_109_0_20, all_0_1_1 and discharging atoms next_subocc(all_0_1_1, all_109_0_20, tptp0), yields:
% 67.80/28.51 | (193) arboreal(all_109_0_20)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (47) with all_69_0_12, all_109_0_20 and discharging atoms leaf_occ(all_109_0_20, all_69_0_12), yields:
% 67.80/28.51 | (194) ? [v0] : (leaf(all_109_0_20, v0) & subactivity_occurrence(all_109_0_20, all_69_0_12) & occurrence_of(all_69_0_12, v0))
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (50) with all_69_0_12, all_0_1_1 and discharging atoms root_occ(all_0_1_1, all_69_0_12), yields:
% 67.80/28.51 | (195) ? [v0] : (subactivity_occurrence(all_0_1_1, all_69_0_12) & root(all_0_1_1, v0) & occurrence_of(all_69_0_12, v0))
% 67.80/28.51 |
% 67.80/28.51 | Instantiating (195) with all_165_0_30 yields:
% 67.80/28.51 | (196) subactivity_occurrence(all_0_1_1, all_69_0_12) & root(all_0_1_1, all_165_0_30) & occurrence_of(all_69_0_12, all_165_0_30)
% 67.80/28.51 |
% 67.80/28.51 | Applying alpha-rule on (196) yields:
% 67.80/28.51 | (131) subactivity_occurrence(all_0_1_1, all_69_0_12)
% 67.80/28.51 | (198) root(all_0_1_1, all_165_0_30)
% 67.80/28.51 | (199) occurrence_of(all_69_0_12, all_165_0_30)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating (188) with all_171_0_33 yields:
% 67.80/28.51 | (200) activity(all_171_0_33) & occurrence_of(all_69_0_12, all_171_0_33)
% 67.80/28.51 |
% 67.80/28.51 | Applying alpha-rule on (200) yields:
% 67.80/28.51 | (201) activity(all_171_0_33)
% 67.80/28.51 | (202) occurrence_of(all_69_0_12, all_171_0_33)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating (191) with all_173_0_34 yields:
% 67.80/28.51 | (203) subactivity(all_173_0_34, all_71_0_13) & atocc(all_17_0_3, all_173_0_34)
% 67.80/28.51 |
% 67.80/28.51 | Applying alpha-rule on (203) yields:
% 67.80/28.51 | (204) subactivity(all_173_0_34, all_71_0_13)
% 67.80/28.51 | (205) atocc(all_17_0_3, all_173_0_34)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating (190) with all_175_0_35 yields:
% 67.80/28.51 | (206) subactivity(all_175_0_35, all_77_0_16) & atocc(all_17_0_3, all_175_0_35)
% 67.80/28.51 |
% 67.80/28.51 | Applying alpha-rule on (206) yields:
% 67.80/28.51 | (207) subactivity(all_175_0_35, all_77_0_16)
% 67.80/28.51 | (208) atocc(all_17_0_3, all_175_0_35)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating (194) with all_179_0_37 yields:
% 67.80/28.51 | (209) leaf(all_109_0_20, all_179_0_37) & subactivity_occurrence(all_109_0_20, all_69_0_12) & occurrence_of(all_69_0_12, all_179_0_37)
% 67.80/28.51 |
% 67.80/28.51 | Applying alpha-rule on (209) yields:
% 67.80/28.51 | (210) leaf(all_109_0_20, all_179_0_37)
% 67.80/28.51 | (211) subactivity_occurrence(all_109_0_20, all_69_0_12)
% 67.80/28.51 | (212) occurrence_of(all_69_0_12, all_179_0_37)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating (189) with all_181_0_38 yields:
% 67.80/28.51 | (213) subactivity(all_17_3_6, all_181_0_38) & atomic(all_181_0_38) & occurrence_of(all_17_0_3, all_181_0_38)
% 67.80/28.51 |
% 67.80/28.51 | Applying alpha-rule on (213) yields:
% 67.80/28.51 | (214) subactivity(all_17_3_6, all_181_0_38)
% 67.80/28.51 | (215) atomic(all_181_0_38)
% 67.80/28.51 | (216) occurrence_of(all_17_0_3, all_181_0_38)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating (192) with all_183_0_39 yields:
% 67.80/28.51 | (217) subactivity(all_183_0_39, all_67_0_11) & atocc(all_17_0_3, all_183_0_39)
% 67.80/28.51 |
% 67.80/28.51 | Applying alpha-rule on (217) yields:
% 67.80/28.51 | (218) subactivity(all_183_0_39, all_67_0_11)
% 67.80/28.51 | (219) atocc(all_17_0_3, all_183_0_39)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (59) with all_171_0_33, tptp0, all_69_0_12 and discharging atoms occurrence_of(all_69_0_12, all_171_0_33), occurrence_of(all_69_0_12, tptp0), yields:
% 67.80/28.51 | (220) all_171_0_33 = tptp0
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (59) with all_171_0_33, all_179_0_37, all_69_0_12 and discharging atoms occurrence_of(all_69_0_12, all_179_0_37), occurrence_of(all_69_0_12, all_171_0_33), yields:
% 67.80/28.51 | (221) all_179_0_37 = all_171_0_33
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (59) with all_165_0_30, all_179_0_37, all_69_0_12 and discharging atoms occurrence_of(all_69_0_12, all_179_0_37), occurrence_of(all_69_0_12, all_165_0_30), yields:
% 67.80/28.51 | (222) all_179_0_37 = all_165_0_30
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (59) with all_181_0_38, all_17_3_6, all_17_0_3 and discharging atoms occurrence_of(all_17_0_3, all_181_0_38), occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.80/28.51 | (223) all_181_0_38 = all_17_3_6
% 67.80/28.51 |
% 67.80/28.51 | Combining equations (221,222) yields a new equation:
% 67.80/28.51 | (224) all_171_0_33 = all_165_0_30
% 67.80/28.51 |
% 67.80/28.51 | Simplifying 224 yields:
% 67.80/28.51 | (225) all_171_0_33 = all_165_0_30
% 67.80/28.51 |
% 67.80/28.51 | Combining equations (225,220) yields a new equation:
% 67.80/28.51 | (226) all_165_0_30 = tptp0
% 67.80/28.51 |
% 67.80/28.51 | Simplifying 226 yields:
% 67.80/28.51 | (227) all_165_0_30 = tptp0
% 67.80/28.51 |
% 67.80/28.51 | Combining equations (227,222) yields a new equation:
% 67.80/28.51 | (228) all_179_0_37 = tptp0
% 67.80/28.51 |
% 67.80/28.51 | From (228) and (210) follows:
% 67.80/28.51 | (229) leaf(all_109_0_20, tptp0)
% 67.80/28.51 |
% 67.80/28.51 | From (227) and (199) follows:
% 67.80/28.51 | (132) occurrence_of(all_69_0_12, tptp0)
% 67.80/28.51 |
% 67.80/28.51 | From (223) and (216) follows:
% 67.80/28.51 | (84) occurrence_of(all_17_0_3, all_17_3_6)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (74) with all_183_0_39, all_17_0_3 and discharging atoms atocc(all_17_0_3, all_183_0_39), yields:
% 67.80/28.51 | (232) ? [v0] : (subactivity(all_183_0_39, v0) & atomic(v0) & occurrence_of(all_17_0_3, v0))
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (74) with all_175_0_35, all_17_0_3 and discharging atoms atocc(all_17_0_3, all_175_0_35), yields:
% 67.80/28.51 | (233) ? [v0] : (subactivity(all_175_0_35, v0) & atomic(v0) & occurrence_of(all_17_0_3, v0))
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (74) with all_173_0_34, all_17_0_3 and discharging atoms atocc(all_17_0_3, all_173_0_34), yields:
% 67.80/28.51 | (234) ? [v0] : (subactivity(all_173_0_34, v0) & atomic(v0) & occurrence_of(all_17_0_3, v0))
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (52) with tptp0, all_69_0_12, all_17_0_3 and discharging atoms subactivity_occurrence(all_17_0_3, all_69_0_12), occurrence_of(all_69_0_12, tptp0), yields:
% 67.80/28.51 | (235) ~ leaf(all_17_0_3, tptp0) | leaf_occ(all_17_0_3, all_69_0_12)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating formula (10) with all_17_0_3, all_109_0_20, all_69_0_12, tptp0 and discharging atoms subactivity_occurrence(all_109_0_20, all_69_0_12), subactivity_occurrence(all_17_0_3, all_69_0_12), arboreal(all_109_0_20), arboreal(all_17_0_3), occurrence_of(all_69_0_12, tptp0), yields:
% 67.80/28.51 | (236) all_109_0_20 = all_17_0_3 | min_precedes(all_109_0_20, all_17_0_3, tptp0) | min_precedes(all_17_0_3, all_109_0_20, tptp0)
% 67.80/28.51 |
% 67.80/28.51 | Instantiating (234) with all_245_0_54 yields:
% 67.80/28.51 | (237) subactivity(all_173_0_34, all_245_0_54) & atomic(all_245_0_54) & occurrence_of(all_17_0_3, all_245_0_54)
% 67.80/28.51 |
% 67.80/28.52 | Applying alpha-rule on (237) yields:
% 67.80/28.52 | (238) subactivity(all_173_0_34, all_245_0_54)
% 67.80/28.52 | (239) atomic(all_245_0_54)
% 67.80/28.52 | (240) occurrence_of(all_17_0_3, all_245_0_54)
% 67.80/28.52 |
% 67.80/28.52 | Instantiating (232) with all_247_0_55 yields:
% 67.80/28.52 | (241) subactivity(all_183_0_39, all_247_0_55) & atomic(all_247_0_55) & occurrence_of(all_17_0_3, all_247_0_55)
% 67.80/28.52 |
% 67.80/28.52 | Applying alpha-rule on (241) yields:
% 67.80/28.52 | (242) subactivity(all_183_0_39, all_247_0_55)
% 67.80/28.52 | (243) atomic(all_247_0_55)
% 67.80/28.52 | (244) occurrence_of(all_17_0_3, all_247_0_55)
% 67.80/28.52 |
% 67.80/28.52 | Instantiating (233) with all_251_0_57 yields:
% 67.80/28.52 | (245) subactivity(all_175_0_35, all_251_0_57) & atomic(all_251_0_57) & occurrence_of(all_17_0_3, all_251_0_57)
% 67.80/28.52 |
% 67.80/28.52 | Applying alpha-rule on (245) yields:
% 67.80/28.52 | (246) subactivity(all_175_0_35, all_251_0_57)
% 67.80/28.52 | (247) atomic(all_251_0_57)
% 67.80/28.52 | (248) occurrence_of(all_17_0_3, all_251_0_57)
% 67.80/28.52 |
% 67.80/28.52 | Instantiating formula (59) with all_247_0_55, all_17_3_6, all_17_0_3 and discharging atoms occurrence_of(all_17_0_3, all_247_0_55), occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.80/28.52 | (249) all_247_0_55 = all_17_3_6
% 67.80/28.52 |
% 67.80/28.52 | Instantiating formula (59) with all_247_0_55, all_251_0_57, all_17_0_3 and discharging atoms occurrence_of(all_17_0_3, all_251_0_57), occurrence_of(all_17_0_3, all_247_0_55), yields:
% 67.80/28.52 | (250) all_251_0_57 = all_247_0_55
% 67.80/28.52 |
% 67.80/28.52 | Instantiating formula (59) with all_245_0_54, all_251_0_57, all_17_0_3 and discharging atoms occurrence_of(all_17_0_3, all_251_0_57), occurrence_of(all_17_0_3, all_245_0_54), yields:
% 67.80/28.52 | (251) all_251_0_57 = all_245_0_54
% 67.80/28.52 |
% 67.80/28.52 | Combining equations (250,251) yields a new equation:
% 67.80/28.52 | (252) all_247_0_55 = all_245_0_54
% 67.80/28.52 |
% 67.80/28.52 | Simplifying 252 yields:
% 67.80/28.52 | (253) all_247_0_55 = all_245_0_54
% 67.80/28.52 |
% 67.80/28.52 | Combining equations (249,253) yields a new equation:
% 67.80/28.52 | (254) all_245_0_54 = all_17_3_6
% 67.80/28.52 |
% 67.80/28.52 | From (254) and (240) follows:
% 67.80/28.52 | (84) occurrence_of(all_17_0_3, all_17_3_6)
% 67.80/28.52 |
% 67.80/28.52 +-Applying beta-rule and splitting (123), into two cases.
% 67.80/28.52 |-Branch one:
% 67.80/28.52 | (256) leaf(all_17_0_3, tptp0)
% 67.80/28.52 |
% 67.80/28.52 +-Applying beta-rule and splitting (235), into two cases.
% 67.80/28.52 |-Branch one:
% 67.80/28.52 | (257) ~ leaf(all_17_0_3, tptp0)
% 67.80/28.52 |
% 67.80/28.52 | Using (256) and (257) yields:
% 67.80/28.52 | (110) $false
% 67.80/28.52 |
% 67.80/28.52 |-The branch is then unsatisfiable
% 67.80/28.52 |-Branch two:
% 67.80/28.52 | (256) leaf(all_17_0_3, tptp0)
% 67.80/28.52 | (260) leaf_occ(all_17_0_3, all_69_0_12)
% 67.80/28.52 |
% 67.80/28.52 +-Applying beta-rule and splitting (161), into two cases.
% 67.80/28.52 |-Branch one:
% 67.80/28.52 | (261) occurrence_of(all_109_0_20, tptp2)
% 67.80/28.52 |
% 67.80/28.52 | Instantiating formula (59) with tptp2, all_17_3_6, all_17_0_3 and discharging atoms occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.80/28.52 | (262) all_17_3_6 = tptp2 | ~ occurrence_of(all_17_0_3, tptp2)
% 67.80/28.52 |
% 67.80/28.52 +-Applying beta-rule and splitting (262), into two cases.
% 67.80/28.52 |-Branch one:
% 67.80/28.52 | (263) ~ occurrence_of(all_17_0_3, tptp2)
% 67.80/28.52 |
% 67.80/28.52 | Using (261) and (263) yields:
% 67.80/28.52 | (264) ~ (all_109_0_20 = all_17_0_3)
% 67.80/28.52 |
% 67.80/28.52 | Instantiating formula (44) with tptp0, all_69_0_12, all_17_0_3, all_109_0_20 and discharging atoms leaf_occ(all_109_0_20, all_69_0_12), leaf_occ(all_17_0_3, all_69_0_12), occurrence_of(all_69_0_12, tptp0), ~ atomic(tptp0), yields:
% 67.80/28.52 | (265) all_109_0_20 = all_17_0_3
% 67.80/28.52 |
% 67.80/28.52 | Equations (265) can reduce 264 to:
% 67.80/28.52 | (266) $false
% 67.80/28.52 |
% 67.80/28.52 |-The branch is then unsatisfiable
% 67.80/28.52 |-Branch two:
% 67.80/28.52 | (267) occurrence_of(all_17_0_3, tptp2)
% 67.80/28.52 | (268) all_17_3_6 = tptp2
% 67.80/28.52 |
% 67.80/28.52 | Equations (268) can reduce 87 to:
% 67.80/28.52 | (266) $false
% 67.80/28.52 |
% 67.80/28.52 |-The branch is then unsatisfiable
% 67.80/28.52 |-Branch two:
% 67.80/28.52 | (270) ~ occurrence_of(all_109_0_20, tptp2)
% 67.80/28.52 | (271) occurrence_of(all_109_0_20, tptp3)
% 67.80/28.52 |
% 67.80/28.52 | Instantiating formula (59) with tptp3, all_17_3_6, all_17_0_3 and discharging atoms occurrence_of(all_17_0_3, all_17_3_6), yields:
% 67.80/28.52 | (272) all_17_3_6 = tptp3 | ~ occurrence_of(all_17_0_3, tptp3)
% 67.80/28.52 |
% 67.80/28.52 +-Applying beta-rule and splitting (272), into two cases.
% 67.80/28.52 |-Branch one:
% 67.80/28.52 | (273) ~ occurrence_of(all_17_0_3, tptp3)
% 67.80/28.52 |
% 67.80/28.52 | Using (271) and (273) yields:
% 67.80/28.52 | (264) ~ (all_109_0_20 = all_17_0_3)
% 67.80/28.52 |
% 67.80/28.52 | Instantiating formula (44) with tptp0, all_69_0_12, all_17_0_3, all_109_0_20 and discharging atoms leaf_occ(all_109_0_20, all_69_0_12), leaf_occ(all_17_0_3, all_69_0_12), occurrence_of(all_69_0_12, tptp0), ~ atomic(tptp0), yields:
% 67.80/28.52 | (265) all_109_0_20 = all_17_0_3
% 67.80/28.52 |
% 67.80/28.52 | Equations (265) can reduce 264 to:
% 67.80/28.52 | (266) $false
% 67.80/28.52 |
% 67.80/28.52 |-The branch is then unsatisfiable
% 67.80/28.52 |-Branch two:
% 67.80/28.52 | (277) occurrence_of(all_17_0_3, tptp3)
% 67.80/28.52 | (278) all_17_3_6 = tptp3
% 67.80/28.52 |
% 67.80/28.52 | Equations (278) can reduce 88 to:
% 67.80/28.52 | (266) $false
% 67.80/28.52 |
% 67.80/28.52 |-The branch is then unsatisfiable
% 67.80/28.52 |-Branch two:
% 67.80/28.52 | (257) ~ leaf(all_17_0_3, tptp0)
% 67.80/28.52 | (281) ? [v0] : min_precedes(all_17_0_3, v0, tptp0)
% 67.80/28.52 |
% 67.80/28.52 | Instantiating (281) with all_267_0_127 yields:
% 67.80/28.52 | (282) min_precedes(all_17_0_3, all_267_0_127, tptp0)
% 67.80/28.52 |
% 67.80/28.52 | Instantiating formula (66) with all_17_0_3, tptp0, all_109_0_20, all_0_1_1 and discharging atoms next_subocc(all_0_1_1, all_109_0_20, tptp0), min_precedes(all_0_1_1, all_17_0_3, tptp0), yields:
% 67.80/28.52 | (283) ~ min_precedes(all_17_0_3, all_109_0_20, tptp0)
% 67.80/28.52 |
% 67.80/28.53 | Instantiating formula (41) with all_267_0_127, tptp0, all_17_0_3 and discharging atoms min_precedes(all_17_0_3, all_267_0_127, tptp0), yields:
% 67.80/28.53 | (257) ~ leaf(all_17_0_3, tptp0)
% 67.80/28.53 |
% 67.80/28.53 | Using (229) and (257) yields:
% 67.80/28.53 | (264) ~ (all_109_0_20 = all_17_0_3)
% 67.80/28.53 |
% 67.80/28.53 +-Applying beta-rule and splitting (236), into two cases.
% 67.80/28.53 |-Branch one:
% 67.80/28.53 | (286) min_precedes(all_109_0_20, all_17_0_3, tptp0)
% 67.80/28.53 |
% 67.80/28.53 | Instantiating formula (41) with all_17_0_3, tptp0, all_109_0_20 and discharging atoms leaf(all_109_0_20, tptp0), min_precedes(all_109_0_20, all_17_0_3, tptp0), yields:
% 67.80/28.53 | (110) $false
% 67.80/28.53 |
% 67.80/28.53 |-The branch is then unsatisfiable
% 67.80/28.53 |-Branch two:
% 67.80/28.53 | (288) ~ min_precedes(all_109_0_20, all_17_0_3, tptp0)
% 67.80/28.53 | (289) all_109_0_20 = all_17_0_3 | min_precedes(all_17_0_3, all_109_0_20, tptp0)
% 67.80/28.53 |
% 67.80/28.53 +-Applying beta-rule and splitting (289), into two cases.
% 67.80/28.53 |-Branch one:
% 67.80/28.53 | (290) min_precedes(all_17_0_3, all_109_0_20, tptp0)
% 67.80/28.53 |
% 67.80/28.53 | Using (290) and (283) yields:
% 67.80/28.53 | (110) $false
% 67.80/28.53 |
% 67.80/28.53 |-The branch is then unsatisfiable
% 67.80/28.53 |-Branch two:
% 67.80/28.53 | (283) ~ min_precedes(all_17_0_3, all_109_0_20, tptp0)
% 67.80/28.53 | (265) all_109_0_20 = all_17_0_3
% 67.80/28.53 |
% 67.80/28.53 | Equations (265) can reduce 264 to:
% 67.80/28.53 | (266) $false
% 67.80/28.53 |
% 67.80/28.53 |-The branch is then unsatisfiable
% 67.80/28.53 % SZS output end Proof for theBenchmark
% 67.80/28.53
% 67.80/28.53 27876ms
%------------------------------------------------------------------------------