TSTP Solution File: PRO001+4 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PRO001+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 17:43:51 EDT 2022
% Result : Theorem 9.55s 2.91s
% Output : Proof 12.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO001+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 02:23:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.65/0.64 ____ _
% 0.65/0.64 ___ / __ \_____(_)___ ________ __________
% 0.65/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.65/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.65/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.65/0.64
% 0.65/0.64 A Theorem Prover for First-Order Logic
% 0.65/0.64 (ePrincess v.1.0)
% 0.65/0.64
% 0.65/0.64 (c) Philipp Rümmer, 2009-2015
% 0.65/0.64 (c) Peter Backeman, 2014-2015
% 0.65/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.65/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.65/0.64 Bug reports to peter@backeman.se
% 0.65/0.64
% 0.65/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.65/0.64
% 0.65/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.81/1.05 Prover 0: Preprocessing ...
% 2.67/1.32 Prover 0: Constructing countermodel ...
% 9.55/2.91 Prover 0: proved (2220ms)
% 9.55/2.91
% 9.55/2.91 No countermodel exists, formula is valid
% 9.55/2.91 % SZS status Theorem for theBenchmark
% 9.55/2.91
% 9.55/2.91 Generating proof ... found it (size 176)
% 12.24/3.58
% 12.24/3.58 % SZS output start Proof for theBenchmark
% 12.24/3.58 Assumed formulas after preprocessing and simplification:
% 12.24/3.58 | (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] : ! [v9] : ( ~ tptp1(v3, v4, v5) | ~ transmit_message(v3, v6, v7, v8, v9)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ transmit_message(v3, v4, v5, v6, v7) | ~ occurrence_of(v8, v3) | ? [v9] : ? [v10] : (send_message(v9, v4, v5, v6, v7) & root_occ(v10, v8) & occurrence_of(v10, v9))) & ! [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] : (v7 = v5 | ~ min_precedes(v6, v5, v3) | ~ leaf_occ(v7, v4) | ~ root_occ(v6, v4) | ~ subactivity_occurrence(v5, v4) | ~ occurrence_of(v4, v3) | min_precedes(v5, v7, v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ transmit_message(v3, v4, v5, v6, v7) | ~ atomic(v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ transmit_message(v3, v4, v5, v6, v7) | activity(v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ transmit_message(v3, v4, v5, v6, v7) | root(v6, v7)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ transmit_message(v3, v4, v5, v6, v7) | root(v4, v5)) & ! [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 | ~ arboreal(v6) | ~ arboreal(v5) | ~ subactivity_occurrence(v6, v4) | ~ subactivity_occurrence(v5, v4) | ~ occurrence_of(v4, v3) | min_precedes(v6, v5, v3) | min_precedes(v5, v6, v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ arboreal(v5) | ~ leaf_occ(v6, v4) | ~ subactivity_occurrence(v5, v4) | ~ occurrence_of(v4, 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] : (transmit_message(v7, v8, v9, v5, v4) & subactivity_occurrence(v10, v6) & occurrence_of(v10, v7))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ~ transmit_message(tptp0, v3, v4, v5, v6) & ! [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] : ( ~ precedes(v4, v5) | ~ min_precedes(v3, v5, v6) | ~ min_precedes(v3, v4, v6) | min_precedes(v4, v5, v6)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ min_precedes(v6, v4, v5) | ~ root_occ(v4, v3) | ~ occurrence_of(v3, v5)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ min_precedes(v4, v6, v5) | ~ leaf_occ(v4, v3) | ~ occurrence_of(v3, v5)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ min_precedes(v3, v4, v5) | ~ subactivity_occurrence(v4, v6) | ~ occurrence_of(v6, v5) | subactivity_occurrence(v3, 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] : ( ~ 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] : ( ~ 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(v4, v5) | ~ atomic(v5) | ~ occurrence_of(v3, v5) | atocc(v3, v4)) & ! [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] : (subactivity_occurrence(v5, v6) & subactivity_occurrence(v4, v6) & occurrence_of(v6, v3))) & ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v3, v4, v5) | ~ root(v4, v5)) & ! [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] : ! [v5] : ( ~ min_precedes(v3, v4, v5) | precedes(v3, v4)) & ! [v3] : ! [v4] : ! [v5] : ( ~ min_precedes(v3, v4, v5) | ? [v6] : (min_precedes(v6, v4, v5) & root(v6, v5))) & ! [v3] : ! [v4] : ! [v5] : ( ~ subactivity_occurrence(v3, v4) | ~ root(v3, v5) | ~ occurrence_of(v4, v5) | root_occ(v3, v4)) & ! [v3] : ! [v4] : ~ tptp1(tptp0, v3, v4) & ! [v3] : ! [v4] : ( ~ precedes(v3, v4) | earlier(v3, v4)) & ! [v3] : ! [v4] : ( ~ precedes(v3, v4) | legal(v4)) & ! [v3] : ! [v4] : ( ~ earlier(v4, v3) | ~ earlier(v3, v4)) & ! [v3] : ! [v4] : ( ~ earlier(v3, v4) | ~ legal(v4) | precedes(v3, v4)) & ! [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] : ( ~ atocc(v3, v4) | ? [v5] : (subactivity(v4, v5) & atomic(v5) & occurrence_of(v3, v5))) & ! [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] : ( ~ root_occ(v3, v4) | ? [v5] : (subactivity_occurrence(v3, v4) & root(v3, v5) & occurrence_of(v4, v5))) & ! [v3] : ! [v4] : ( ~ subactivity_occurrence(v3, v4) | activity_occurrence(v4)) & ! [v3] : ! [v4] : ( ~ subactivity_occurrence(v3, v4) | activity_occurrence(v3)) & ! [v3] : ! [v4] : ( ~ root(v4, v3) | ? [v5] : (atocc(v4, v5) & subactivity(v5, v3))) & ! [v3] : ! [v4] : ( ~ root(v3, v4) | legal(v3)) & ! [v3] : ! [v4] : ( ~ root(v3, v4) | leaf(v3, v4) | ? [v5] : min_precedes(v3, v5, v4)) & ! [v3] : ! [v4] : ( ~ atomic(v4) | ~ occurrence_of(v3, v4) | arboreal(v3)) & ! [v3] : ! [v4] : ( ~ occurrence_of(v4, v3) | activity_occurrence(v4)) & ! [v3] : ! [v4] : ( ~ occurrence_of(v4, v3) | activity(v3)) & ! [v3] : ! [v4] : ( ~ occurrence_of(v4, v3) | atomic(v3) | ? [v5] : (subactivity_occurrence(v5, v4) & root(v5, v3))) & ! [v3] : ( ~ legal(v3) | arboreal(v3)) & ! [v3] : ( ~ activity_occurrence(v3) | ? [v4] : (activity(v4) & occurrence_of(v3, v4))) & ! [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)))))
% 12.75/3.62 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 12.75/3.62 | (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] : ! [v6] : ( ~ tptp1(v0, v1, v2) | ~ transmit_message(v0, v3, v4, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ transmit_message(v0, v1, v2, v3, v4) | ~ occurrence_of(v5, v0) | ? [v6] : ? [v7] : (send_message(v6, v1, v2, v3, v4) & root_occ(v7, v5) & occurrence_of(v7, v6))) & ! [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] : (v4 = v2 | ~ min_precedes(v3, v2, v0) | ~ leaf_occ(v4, v1) | ~ root_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v4, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ transmit_message(v0, v1, v2, v3, v4) | ~ atomic(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ transmit_message(v0, v1, v2, v3, v4) | activity(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ transmit_message(v0, v1, v2, v3, v4) | root(v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ transmit_message(v0, v1, v2, v3, v4) | root(v1, v2)) & ! [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 | ~ arboreal(v3) | ~ arboreal(v2) | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v2) | ~ leaf_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ leaf_occ(v1, v2) | ~ leaf_occ(v0, v2) | ~ occurrence_of(v2, v3) | atomic(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ root_occ(v1, v2) | ~ root_occ(v0, v2) | ~ occurrence_of(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ tptp1(v0, v1, v2) | ~ occurrence_of(v3, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (transmit_message(v4, v5, v6, v2, v1) & subactivity_occurrence(v7, v3) & occurrence_of(v7, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ transmit_message(tptp0, v0, v1, v2, v3) & ! [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] : ( ~ precedes(v1, v2) | ~ min_precedes(v0, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v1, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v3, v1, v2) | ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v3, v2) | ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v0, v1, v2) | ~ subactivity_occurrence(v1, v3) | ~ occurrence_of(v3, v2) | subactivity_occurrence(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ 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] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ earlier(v0, v1) | earlier(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v2) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, v2) | leaf_occ(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v1) | ~ min_precedes(v0, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ~ root(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & root(v3, v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1)) & ! [v0] : ! [v1] : ~ tptp1(tptp0, v0, v1) & ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1)) & ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1)) & ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1)) & ! [v0] : ! [v1] : ( ~ earlier(v0, v1) | ~ legal(v1) | precedes(v0, v1)) & ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) | ? [v2] : min_precedes(v2, v0, v1)) & ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) | ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1))) & ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2))) & ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ occurrence_of(v0, v1) | atomic(v1)) & ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2))) & ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2))) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0)) & ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (atocc(v1, v2) & subactivity(v2, v0))) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0)) & ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1)) & ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0)) & ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0))) & ! [v0] : ( ~ legal(v0) | arboreal(v0)) & ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1))) & ! [v0] : ( ~ occurrence_of(v0, tptp0) | ? [v1] : ? [v2] : (next_subocc(v1, v2, tptp0) & leaf_occ(v2, v0) & root_occ(v1, v0) & occurrence_of(v1, tptp4) & (occurrence_of(v2, tptp2) | occurrence_of(v2, tptp3))))
% 12.75/3.63 |
% 12.75/3.63 | Applying alpha-rule on (1) yields:
% 12.75/3.63 | (2) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v1))
% 12.75/3.63 | (3) ! [v0] : ! [v1] : ( ~ leaf_occ(v0, v1) | ? [v2] : (leaf(v0, v2) & subactivity_occurrence(v0, v1) & occurrence_of(v1, v2)))
% 12.75/3.63 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v1, v2, v0) | ? [v3] : (subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & occurrence_of(v3, v0)))
% 12.75/3.63 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ send_message(v0, v1, v2, v3, v4) | ~ occurrence_of(v5, v0) | min_precedes(v3, v5, v4))
% 12.75/3.63 | (6) ! [v0] : ! [v1] : ( ~ earlier(v0, v1) | ~ legal(v1) | precedes(v0, v1))
% 12.75/3.63 | (7) ! [v0] : ! [v1] : ( ~ root_occ(v0, v1) | ? [v2] : (subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2)))
% 12.75/3.63 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ transmit_message(v0, v1, v2, v3, v4) | root(v1, v2))
% 12.75/3.63 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v3, v1, v2) | ~ root_occ(v1, v0) | ~ occurrence_of(v0, v2))
% 12.75/3.63 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ transmit_message(v0, v1, v2, v3, v4) | root(v3, v4))
% 12.75/3.63 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1))
% 12.75/3.63 | (12) ~ (tptp5 = tptp4)
% 12.75/3.63 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ transmit_message(tptp0, v0, v1, v2, v3)
% 12.75/3.63 | (14) ~ (tptp5 = tptp2)
% 12.75/3.63 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | ~ atomic(v0))
% 12.75/3.63 | (16) ! [v0] : ! [v1] : ( ~ root(v1, v0) | ? [v2] : (atocc(v1, v2) & subactivity(v2, v0)))
% 12.75/3.63 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | activity(v0))
% 12.75/3.63 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ tptp1(v0, v1, v2) | ~ transmit_message(v0, v3, v4, v5, v6))
% 12.75/3.63 | (19) ~ (tptp3 = tptp4)
% 12.75/3.63 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2))
% 12.75/3.63 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | next_subocc(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & min_precedes(v0, v3, v2)))
% 12.75/3.63 | (22) ! [v0] : ! [v1] : ( ~ atomic(v1) | ~ occurrence_of(v0, v1) | arboreal(v0))
% 12.75/3.63 | (23) ~ (tptp2 = tptp3)
% 12.75/3.63 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ transmit_message(v0, v1, v2, v3, v4) | ~ occurrence_of(v5, v0) | ? [v6] : ? [v7] : (send_message(v6, v1, v2, v3, v4) & root_occ(v7, v5) & occurrence_of(v7, v6)))
% 12.75/3.63 | (25) ! [v0] : ! [v1] : ( ~ root(v0, v1) | legal(v0))
% 12.75/3.63 | (26) ! [v0] : ! [v1] : ~ tptp1(tptp0, v0, v1)
% 12.75/3.63 | (27) ! [v0] : ! [v1] : ( ~ earlier(v1, v0) | ~ earlier(v0, v1))
% 12.75/3.63 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ send_message(tptp4, v0, v1, v2, v3)
% 12.75/3.63 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v2) | ~ subactivity_occurrence(v0, v1) | ~ occurrence_of(v1, v2) | leaf_occ(v0, v1))
% 12.75/3.63 | (30) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | legal(v1))
% 12.75/3.63 | (31) atomic(tptp3)
% 12.75/3.63 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | precedes(v0, v1))
% 12.75/3.63 | (33) ~ (tptp2 = tptp4)
% 12.75/3.63 | (34) occurrence_of(all_0_0_0, all_0_2_2)
% 12.75/3.63 | (35) ! [v0] : ! [v1] : ( ~ precedes(v0, v1) | earlier(v0, v1))
% 12.75/3.63 | (36) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | atocc(v0, v1))
% 12.75/3.64 | (37) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity(v0))
% 12.75/3.64 | (38) tptp1(all_0_2_2, tptp0, all_0_1_1)
% 12.75/3.64 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v3) | ~ arboreal(v2) | ~ subactivity_occurrence(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v3, v2, v0) | min_precedes(v2, v3, v0))
% 12.75/3.64 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ~ root(v1, v2))
% 12.75/3.64 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ arboreal(v2) | ~ leaf_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v3, v0))
% 12.75/3.64 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ leaf_occ(v1, v2) | ~ leaf_occ(v0, v2) | ~ occurrence_of(v2, v3) | atomic(v3))
% 12.75/3.64 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ next_subocc(v0, v1, v2) | ~ min_precedes(v3, v1, v2) | ~ min_precedes(v0, v3, v2))
% 12.75/3.64 | (44) atomic(tptp5)
% 12.75/3.64 | (45) ~ atomic(tptp0)
% 12.75/3.64 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ min_precedes(v3, v2, v0) | ~ leaf_occ(v4, v1) | ~ root_occ(v3, v1) | ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | min_precedes(v2, v4, v0))
% 12.75/3.64 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ send_message(tptp3, v0, v1, v2, v3)
% 12.75/3.64 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v2, v0, v1) | leaf(v0, v1) | ? [v3] : min_precedes(v0, v3, v1))
% 12.75/3.64 | (49) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | root(v0, v1) | ? [v2] : min_precedes(v2, v0, v1))
% 12.75/3.64 | (50) ! [v0] : ! [v1] : ( ~ root(v0, v1) | leaf(v0, v1) | ? [v2] : min_precedes(v0, v2, v1))
% 12.75/3.64 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ min_precedes(v0, v1, v2) | ? [v3] : (min_precedes(v3, v1, v2) & root(v3, v2)))
% 12.75/3.64 | (52) ! [v0] : ! [v1] : ( ~ arboreal(v0) | ~ occurrence_of(v0, v1) | atomic(v1))
% 12.75/3.64 | (53) activity(tptp0)
% 12.75/3.64 | (54) ~ (tptp5 = tptp3)
% 12.75/3.64 | (55) atomic(tptp4)
% 12.75/3.64 | (56) ! [v0] : ! [v1] : ! [v2] : ( ~ leaf(v0, v1) | ~ min_precedes(v0, v2, v1))
% 12.75/3.64 | (57) ! [v0] : ( ~ activity_occurrence(v0) | ? [v1] : (activity(v1) & occurrence_of(v0, v1)))
% 12.75/3.64 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v0, v1, v2) | ~ subactivity_occurrence(v1, v3) | ~ occurrence_of(v3, v2) | subactivity_occurrence(v0, v3))
% 12.75/3.64 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v1))
% 12.75/3.64 | (60) ! [v0] : ! [v1] : ( ~ subactivity_occurrence(v0, v1) | activity_occurrence(v0))
% 12.75/3.64 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ next_subocc(v0, v1, v2) | arboreal(v0))
% 12.75/3.64 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ min_precedes(v1, v3, v2) | ~ leaf_occ(v1, v0) | ~ occurrence_of(v0, v2))
% 12.75/3.64 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | activity(v0))
% 12.75/3.64 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ transmit_message(v0, v1, v2, v3, v4) | activity(v0))
% 12.75/3.64 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ tptp1(v0, v1, v2) | ~ occurrence_of(v3, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (transmit_message(v4, v5, v6, v2, v1) & subactivity_occurrence(v7, v3) & occurrence_of(v7, v4)))
% 12.75/3.64 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | ~ atomic(v1))
% 12.75/3.64 | (67) ! [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))))
% 12.75/3.64 | (68) ! [v0] : ! [v1] : ! [v2] : ( ~ earlier(v1, v2) | ~ earlier(v0, v1) | earlier(v0, v2))
% 12.75/3.64 | (69) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | atomic(v0) | ? [v2] : (subactivity_occurrence(v2, v1) & root(v2, v0)))
% 12.75/3.64 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ tptp1(v0, v1, v2) | root(v2, v1))
% 12.75/3.64 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ root_occ(v1, v2) | ~ root_occ(v0, v2) | ~ occurrence_of(v2, v3))
% 12.75/3.64 | (72) ! [v0] : ! [v1] : ( ~ atocc(v0, v1) | ? [v2] : (subactivity(v1, v2) & atomic(v2) & occurrence_of(v0, v2)))
% 12.75/3.64 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | atomic(v0))
% 12.75/3.64 | (74) ! [v0] : ! [v1] : ! [v2] : ( ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, v2) | root_occ(v0, v1))
% 12.75/3.64 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | root(v3, v4))
% 12.75/3.64 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ send_message(v0, v1, v2, v3, v4) | root(v1, v2))
% 12.75/3.64 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ~ send_message(tptp2, v0, v1, v2, v3)
% 12.75/3.64 | (78) atomic(tptp2)
% 12.75/3.64 | (79) ! [v0] : ( ~ legal(v0) | arboreal(v0))
% 12.75/3.64 | (80) ! [v0] : ! [v1] : ( ~ leaf(v0, v1) | atomic(v1) | ? [v2] : (leaf_occ(v0, v2) & occurrence_of(v2, v1)))
% 12.75/3.65 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ transmit_message(v0, v1, v2, v3, v4) | ~ atomic(v0))
% 12.75/3.65 | (82) ! [v0] : ! [v1] : ( ~ occurrence_of(v1, v0) | activity_occurrence(v1))
% 12.75/3.65 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ precedes(v1, v2) | ~ min_precedes(v0, v2, v3) | ~ min_precedes(v0, v1, v3) | min_precedes(v1, v2, v3))
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (70) with all_0_1_1, tptp0, all_0_2_2 and discharging atoms tptp1(all_0_2_2, tptp0, all_0_1_1), yields:
% 12.75/3.65 | (84) root(all_0_1_1, tptp0)
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (65) 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:
% 12.75/3.65 | (85) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (transmit_message(v0, v1, v2, all_0_1_1, tptp0) & subactivity_occurrence(v3, all_0_0_0) & occurrence_of(v3, v0))
% 12.75/3.65 |
% 12.75/3.65 | Instantiating (85) with all_9_0_3, all_9_1_4, all_9_2_5, all_9_3_6 yields:
% 12.75/3.65 | (86) transmit_message(all_9_3_6, all_9_2_5, all_9_1_4, all_0_1_1, tptp0) & subactivity_occurrence(all_9_0_3, all_0_0_0) & occurrence_of(all_9_0_3, all_9_3_6)
% 12.75/3.65 |
% 12.75/3.65 | Applying alpha-rule on (86) yields:
% 12.75/3.65 | (87) transmit_message(all_9_3_6, all_9_2_5, all_9_1_4, all_0_1_1, tptp0)
% 12.75/3.65 | (88) subactivity_occurrence(all_9_0_3, all_0_0_0)
% 12.75/3.65 | (89) occurrence_of(all_9_0_3, all_9_3_6)
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (24) with all_9_0_3, tptp0, all_0_1_1, all_9_1_4, all_9_2_5, all_9_3_6 and discharging atoms transmit_message(all_9_3_6, all_9_2_5, all_9_1_4, all_0_1_1, tptp0), occurrence_of(all_9_0_3, all_9_3_6), yields:
% 12.75/3.65 | (90) ? [v0] : ? [v1] : (send_message(v0, all_9_2_5, all_9_1_4, all_0_1_1, tptp0) & root_occ(v1, all_9_0_3) & occurrence_of(v1, v0))
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (82) with all_9_0_3, all_9_3_6 and discharging atoms occurrence_of(all_9_0_3, all_9_3_6), yields:
% 12.75/3.65 | (91) activity_occurrence(all_9_0_3)
% 12.75/3.65 |
% 12.75/3.65 | Instantiating (90) with all_19_0_8, all_19_1_9 yields:
% 12.75/3.65 | (92) send_message(all_19_1_9, all_9_2_5, all_9_1_4, all_0_1_1, tptp0) & root_occ(all_19_0_8, all_9_0_3) & occurrence_of(all_19_0_8, all_19_1_9)
% 12.75/3.65 |
% 12.75/3.65 | Applying alpha-rule on (92) yields:
% 12.75/3.65 | (93) send_message(all_19_1_9, all_9_2_5, all_9_1_4, all_0_1_1, tptp0)
% 12.75/3.65 | (94) root_occ(all_19_0_8, all_9_0_3)
% 12.75/3.65 | (95) occurrence_of(all_19_0_8, all_19_1_9)
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (57) with all_9_0_3 and discharging atoms activity_occurrence(all_9_0_3), yields:
% 12.75/3.65 | (96) ? [v0] : (activity(v0) & occurrence_of(all_9_0_3, v0))
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (7) with all_9_0_3, all_19_0_8 and discharging atoms root_occ(all_19_0_8, all_9_0_3), yields:
% 12.75/3.65 | (97) ? [v0] : (subactivity_occurrence(all_19_0_8, all_9_0_3) & root(all_19_0_8, v0) & occurrence_of(all_9_0_3, v0))
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (5) with all_19_0_8, tptp0, all_0_1_1, all_9_1_4, all_9_2_5, all_19_1_9 and discharging atoms send_message(all_19_1_9, all_9_2_5, all_9_1_4, all_0_1_1, tptp0), occurrence_of(all_19_0_8, all_19_1_9), yields:
% 12.75/3.65 | (98) min_precedes(all_0_1_1, all_19_0_8, tptp0)
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (82) with all_19_0_8, all_19_1_9 and discharging atoms occurrence_of(all_19_0_8, all_19_1_9), yields:
% 12.75/3.65 | (99) activity_occurrence(all_19_0_8)
% 12.75/3.65 |
% 12.75/3.65 | Instantiating (97) with all_35_0_12 yields:
% 12.75/3.65 | (100) subactivity_occurrence(all_19_0_8, all_9_0_3) & root(all_19_0_8, all_35_0_12) & occurrence_of(all_9_0_3, all_35_0_12)
% 12.75/3.65 |
% 12.75/3.65 | Applying alpha-rule on (100) yields:
% 12.75/3.65 | (101) subactivity_occurrence(all_19_0_8, all_9_0_3)
% 12.75/3.65 | (102) root(all_19_0_8, all_35_0_12)
% 12.75/3.65 | (103) occurrence_of(all_9_0_3, all_35_0_12)
% 12.75/3.65 |
% 12.75/3.65 | Instantiating (96) with all_39_0_14 yields:
% 12.75/3.65 | (104) activity(all_39_0_14) & occurrence_of(all_9_0_3, all_39_0_14)
% 12.75/3.65 |
% 12.75/3.65 | Applying alpha-rule on (104) yields:
% 12.75/3.65 | (105) activity(all_39_0_14)
% 12.75/3.65 | (106) occurrence_of(all_9_0_3, all_39_0_14)
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (11) with all_39_0_14, all_9_3_6, all_9_0_3 and discharging atoms occurrence_of(all_9_0_3, all_39_0_14), occurrence_of(all_9_0_3, all_9_3_6), yields:
% 12.75/3.65 | (107) all_39_0_14 = all_9_3_6
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (11) with all_35_0_12, all_39_0_14, all_9_0_3 and discharging atoms occurrence_of(all_9_0_3, all_39_0_14), occurrence_of(all_9_0_3, all_35_0_12), yields:
% 12.75/3.65 | (108) all_39_0_14 = all_35_0_12
% 12.75/3.65 |
% 12.75/3.65 | Combining equations (107,108) yields a new equation:
% 12.75/3.65 | (109) all_35_0_12 = all_9_3_6
% 12.75/3.65 |
% 12.75/3.65 | From (109) and (102) follows:
% 12.75/3.65 | (110) root(all_19_0_8, all_9_3_6)
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (57) with all_19_0_8 and discharging atoms activity_occurrence(all_19_0_8), yields:
% 12.75/3.65 | (111) ? [v0] : (activity(v0) & occurrence_of(all_19_0_8, v0))
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (4) with all_19_0_8, all_0_1_1, tptp0 and discharging atoms min_precedes(all_0_1_1, all_19_0_8, tptp0), yields:
% 12.75/3.65 | (112) ? [v0] : (subactivity_occurrence(all_19_0_8, v0) & subactivity_occurrence(all_0_1_1, v0) & occurrence_of(v0, tptp0))
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (51) with tptp0, all_19_0_8, all_0_1_1 and discharging atoms min_precedes(all_0_1_1, all_19_0_8, tptp0), yields:
% 12.75/3.65 | (113) ? [v0] : (min_precedes(v0, all_19_0_8, tptp0) & root(v0, tptp0))
% 12.75/3.65 |
% 12.75/3.65 | Instantiating formula (16) with all_19_0_8, all_9_3_6 and discharging atoms root(all_19_0_8, all_9_3_6), yields:
% 12.75/3.65 | (114) ? [v0] : (atocc(all_19_0_8, v0) & subactivity(v0, all_9_3_6))
% 12.75/3.65 |
% 12.75/3.65 | Instantiating (112) with all_53_0_16 yields:
% 12.75/3.65 | (115) subactivity_occurrence(all_19_0_8, all_53_0_16) & subactivity_occurrence(all_0_1_1, all_53_0_16) & occurrence_of(all_53_0_16, tptp0)
% 12.75/3.65 |
% 12.75/3.65 | Applying alpha-rule on (115) yields:
% 12.75/3.65 | (116) subactivity_occurrence(all_19_0_8, all_53_0_16)
% 12.75/3.65 | (117) subactivity_occurrence(all_0_1_1, all_53_0_16)
% 12.75/3.65 | (118) occurrence_of(all_53_0_16, tptp0)
% 12.75/3.65 |
% 12.75/3.65 | Instantiating (113) with all_55_0_17 yields:
% 12.75/3.65 | (119) min_precedes(all_55_0_17, all_19_0_8, tptp0) & root(all_55_0_17, tptp0)
% 12.75/3.66 |
% 12.75/3.66 | Applying alpha-rule on (119) yields:
% 12.75/3.66 | (120) min_precedes(all_55_0_17, all_19_0_8, tptp0)
% 12.75/3.66 | (121) root(all_55_0_17, tptp0)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating (114) with all_57_0_18 yields:
% 12.75/3.66 | (122) atocc(all_19_0_8, all_57_0_18) & subactivity(all_57_0_18, all_9_3_6)
% 12.75/3.66 |
% 12.75/3.66 | Applying alpha-rule on (122) yields:
% 12.75/3.66 | (123) atocc(all_19_0_8, all_57_0_18)
% 12.75/3.66 | (124) subactivity(all_57_0_18, all_9_3_6)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating (111) with all_59_0_19 yields:
% 12.75/3.66 | (125) activity(all_59_0_19) & occurrence_of(all_19_0_8, all_59_0_19)
% 12.75/3.66 |
% 12.75/3.66 | Applying alpha-rule on (125) yields:
% 12.75/3.66 | (126) activity(all_59_0_19)
% 12.75/3.66 | (127) occurrence_of(all_19_0_8, all_59_0_19)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (11) with all_59_0_19, all_19_1_9, all_19_0_8 and discharging atoms occurrence_of(all_19_0_8, all_59_0_19), occurrence_of(all_19_0_8, all_19_1_9), yields:
% 12.75/3.66 | (128) all_59_0_19 = all_19_1_9
% 12.75/3.66 |
% 12.75/3.66 | From (128) and (127) follows:
% 12.75/3.66 | (95) occurrence_of(all_19_0_8, all_19_1_9)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (72) with all_57_0_18, all_19_0_8 and discharging atoms atocc(all_19_0_8, all_57_0_18), yields:
% 12.75/3.66 | (130) ? [v0] : (subactivity(all_57_0_18, v0) & atomic(v0) & occurrence_of(all_19_0_8, v0))
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (4) with all_19_0_8, all_55_0_17, tptp0 and discharging atoms min_precedes(all_55_0_17, all_19_0_8, tptp0), yields:
% 12.75/3.66 | (131) ? [v0] : (subactivity_occurrence(all_55_0_17, v0) & subactivity_occurrence(all_19_0_8, v0) & occurrence_of(v0, tptp0))
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (51) with tptp0, all_19_0_8, all_55_0_17 and discharging atoms min_precedes(all_55_0_17, all_19_0_8, tptp0), yields:
% 12.75/3.66 | (113) ? [v0] : (min_precedes(v0, all_19_0_8, tptp0) & root(v0, tptp0))
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (58) with all_53_0_16, tptp0, all_19_0_8, all_55_0_17 and discharging atoms min_precedes(all_55_0_17, all_19_0_8, tptp0), subactivity_occurrence(all_19_0_8, all_53_0_16), occurrence_of(all_53_0_16, tptp0), yields:
% 12.75/3.66 | (133) subactivity_occurrence(all_55_0_17, all_53_0_16)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (74) with tptp0, all_53_0_16, all_0_1_1 and discharging atoms subactivity_occurrence(all_0_1_1, all_53_0_16), root(all_0_1_1, tptp0), occurrence_of(all_53_0_16, tptp0), yields:
% 12.75/3.66 | (134) root_occ(all_0_1_1, all_53_0_16)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (67) with all_53_0_16 and discharging atoms occurrence_of(all_53_0_16, tptp0), yields:
% 12.75/3.66 | (135) ? [v0] : ? [v1] : (next_subocc(v0, v1, tptp0) & leaf_occ(v1, all_53_0_16) & root_occ(v0, all_53_0_16) & occurrence_of(v0, tptp4) & (occurrence_of(v1, tptp2) | occurrence_of(v1, tptp3)))
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (82) with all_53_0_16, tptp0 and discharging atoms occurrence_of(all_53_0_16, tptp0), yields:
% 12.75/3.66 | (136) activity_occurrence(all_53_0_16)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (69) with all_53_0_16, tptp0 and discharging atoms occurrence_of(all_53_0_16, tptp0), ~ atomic(tptp0), yields:
% 12.75/3.66 | (137) ? [v0] : (subactivity_occurrence(v0, all_53_0_16) & root(v0, tptp0))
% 12.75/3.66 |
% 12.75/3.66 | Instantiating (137) with all_73_0_21 yields:
% 12.75/3.66 | (138) subactivity_occurrence(all_73_0_21, all_53_0_16) & root(all_73_0_21, tptp0)
% 12.75/3.66 |
% 12.75/3.66 | Applying alpha-rule on (138) yields:
% 12.75/3.66 | (139) subactivity_occurrence(all_73_0_21, all_53_0_16)
% 12.75/3.66 | (140) root(all_73_0_21, tptp0)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating (135) with all_75_0_22, all_75_1_23 yields:
% 12.75/3.66 | (141) next_subocc(all_75_1_23, all_75_0_22, tptp0) & leaf_occ(all_75_0_22, all_53_0_16) & root_occ(all_75_1_23, all_53_0_16) & occurrence_of(all_75_1_23, tptp4) & (occurrence_of(all_75_0_22, tptp2) | occurrence_of(all_75_0_22, tptp3))
% 12.75/3.66 |
% 12.75/3.66 | Applying alpha-rule on (141) yields:
% 12.75/3.66 | (142) occurrence_of(all_75_0_22, tptp2) | occurrence_of(all_75_0_22, tptp3)
% 12.75/3.66 | (143) leaf_occ(all_75_0_22, all_53_0_16)
% 12.75/3.66 | (144) root_occ(all_75_1_23, all_53_0_16)
% 12.75/3.66 | (145) occurrence_of(all_75_1_23, tptp4)
% 12.75/3.66 | (146) next_subocc(all_75_1_23, all_75_0_22, tptp0)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating (113) with all_79_0_25 yields:
% 12.75/3.66 | (147) min_precedes(all_79_0_25, all_19_0_8, tptp0) & root(all_79_0_25, tptp0)
% 12.75/3.66 |
% 12.75/3.66 | Applying alpha-rule on (147) yields:
% 12.75/3.66 | (148) min_precedes(all_79_0_25, all_19_0_8, tptp0)
% 12.75/3.66 | (149) root(all_79_0_25, tptp0)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating (130) with all_81_0_26 yields:
% 12.75/3.66 | (150) subactivity(all_57_0_18, all_81_0_26) & atomic(all_81_0_26) & occurrence_of(all_19_0_8, all_81_0_26)
% 12.75/3.66 |
% 12.75/3.66 | Applying alpha-rule on (150) yields:
% 12.75/3.66 | (151) subactivity(all_57_0_18, all_81_0_26)
% 12.75/3.66 | (152) atomic(all_81_0_26)
% 12.75/3.66 | (153) occurrence_of(all_19_0_8, all_81_0_26)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating (131) with all_83_0_27 yields:
% 12.75/3.66 | (154) subactivity_occurrence(all_55_0_17, all_83_0_27) & subactivity_occurrence(all_19_0_8, all_83_0_27) & occurrence_of(all_83_0_27, tptp0)
% 12.75/3.66 |
% 12.75/3.66 | Applying alpha-rule on (154) yields:
% 12.75/3.66 | (155) subactivity_occurrence(all_55_0_17, all_83_0_27)
% 12.75/3.66 | (156) subactivity_occurrence(all_19_0_8, all_83_0_27)
% 12.75/3.66 | (157) occurrence_of(all_83_0_27, tptp0)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (71) with tptp0, all_53_0_16, all_0_1_1, all_75_1_23 and discharging atoms root_occ(all_75_1_23, all_53_0_16), root_occ(all_0_1_1, all_53_0_16), occurrence_of(all_53_0_16, tptp0), yields:
% 12.75/3.66 | (158) all_75_1_23 = all_0_1_1
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (11) with all_81_0_26, all_19_1_9, all_19_0_8 and discharging atoms occurrence_of(all_19_0_8, all_81_0_26), occurrence_of(all_19_0_8, all_19_1_9), yields:
% 12.75/3.66 | (159) all_81_0_26 = all_19_1_9
% 12.75/3.66 |
% 12.75/3.66 | From (158) and (146) follows:
% 12.75/3.66 | (160) next_subocc(all_0_1_1, all_75_0_22, tptp0)
% 12.75/3.66 |
% 12.75/3.66 | From (158) and (144) follows:
% 12.75/3.66 | (134) root_occ(all_0_1_1, all_53_0_16)
% 12.75/3.66 |
% 12.75/3.66 | From (159) and (153) follows:
% 12.75/3.66 | (95) occurrence_of(all_19_0_8, all_19_1_9)
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (57) with all_53_0_16 and discharging atoms activity_occurrence(all_53_0_16), yields:
% 12.75/3.66 | (163) ? [v0] : (activity(v0) & occurrence_of(all_53_0_16, v0))
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (4) with all_19_0_8, all_79_0_25, tptp0 and discharging atoms min_precedes(all_79_0_25, all_19_0_8, tptp0), yields:
% 12.75/3.66 | (164) ? [v0] : (subactivity_occurrence(all_79_0_25, v0) & subactivity_occurrence(all_19_0_8, v0) & occurrence_of(v0, tptp0))
% 12.75/3.66 |
% 12.75/3.66 | Instantiating formula (51) with tptp0, all_19_0_8, all_79_0_25 and discharging atoms min_precedes(all_79_0_25, all_19_0_8, tptp0), yields:
% 12.75/3.67 | (113) ? [v0] : (min_precedes(v0, all_19_0_8, tptp0) & root(v0, tptp0))
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (3) with all_53_0_16, all_75_0_22 and discharging atoms leaf_occ(all_75_0_22, all_53_0_16), yields:
% 12.75/3.67 | (166) ? [v0] : (leaf(all_75_0_22, v0) & subactivity_occurrence(all_75_0_22, all_53_0_16) & occurrence_of(all_53_0_16, v0))
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (46) with all_75_0_22, all_0_1_1, all_19_0_8, all_53_0_16, tptp0 and discharging atoms min_precedes(all_0_1_1, all_19_0_8, tptp0), leaf_occ(all_75_0_22, all_53_0_16), root_occ(all_0_1_1, all_53_0_16), subactivity_occurrence(all_19_0_8, all_53_0_16), occurrence_of(all_53_0_16, tptp0), yields:
% 12.75/3.67 | (167) all_75_0_22 = all_19_0_8 | min_precedes(all_19_0_8, all_75_0_22, tptp0)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (7) with all_53_0_16, all_0_1_1 and discharging atoms root_occ(all_0_1_1, all_53_0_16), yields:
% 12.75/3.67 | (168) ? [v0] : (subactivity_occurrence(all_0_1_1, all_53_0_16) & root(all_0_1_1, v0) & occurrence_of(all_53_0_16, v0))
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (74) with tptp0, all_53_0_16, all_55_0_17 and discharging atoms subactivity_occurrence(all_55_0_17, all_53_0_16), root(all_55_0_17, tptp0), occurrence_of(all_53_0_16, tptp0), yields:
% 12.75/3.67 | (169) root_occ(all_55_0_17, all_53_0_16)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (74) with tptp0, all_53_0_16, all_73_0_21 and discharging atoms subactivity_occurrence(all_73_0_21, all_53_0_16), root(all_73_0_21, tptp0), occurrence_of(all_53_0_16, tptp0), yields:
% 12.75/3.67 | (170) root_occ(all_73_0_21, all_53_0_16)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (58) with all_83_0_27, tptp0, all_19_0_8, all_79_0_25 and discharging atoms min_precedes(all_79_0_25, all_19_0_8, tptp0), subactivity_occurrence(all_19_0_8, all_83_0_27), occurrence_of(all_83_0_27, tptp0), yields:
% 12.75/3.67 | (171) subactivity_occurrence(all_79_0_25, all_83_0_27)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (74) with tptp0, all_83_0_27, all_55_0_17 and discharging atoms subactivity_occurrence(all_55_0_17, all_83_0_27), root(all_55_0_17, tptp0), occurrence_of(all_83_0_27, tptp0), yields:
% 12.75/3.67 | (172) root_occ(all_55_0_17, all_83_0_27)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (82) with all_83_0_27, tptp0 and discharging atoms occurrence_of(all_83_0_27, tptp0), yields:
% 12.75/3.67 | (173) activity_occurrence(all_83_0_27)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (69) with all_83_0_27, tptp0 and discharging atoms occurrence_of(all_83_0_27, tptp0), ~ atomic(tptp0), yields:
% 12.75/3.67 | (174) ? [v0] : (subactivity_occurrence(v0, all_83_0_27) & root(v0, tptp0))
% 12.75/3.67 |
% 12.75/3.67 | Instantiating (164) with all_99_0_28 yields:
% 12.75/3.67 | (175) subactivity_occurrence(all_79_0_25, all_99_0_28) & subactivity_occurrence(all_19_0_8, all_99_0_28) & occurrence_of(all_99_0_28, tptp0)
% 12.75/3.67 |
% 12.75/3.67 | Applying alpha-rule on (175) yields:
% 12.75/3.67 | (176) subactivity_occurrence(all_79_0_25, all_99_0_28)
% 12.75/3.67 | (177) subactivity_occurrence(all_19_0_8, all_99_0_28)
% 12.75/3.67 | (178) occurrence_of(all_99_0_28, tptp0)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating (168) with all_103_0_30 yields:
% 12.75/3.67 | (179) subactivity_occurrence(all_0_1_1, all_53_0_16) & root(all_0_1_1, all_103_0_30) & occurrence_of(all_53_0_16, all_103_0_30)
% 12.75/3.67 |
% 12.75/3.67 | Applying alpha-rule on (179) yields:
% 12.75/3.67 | (117) subactivity_occurrence(all_0_1_1, all_53_0_16)
% 12.75/3.67 | (181) root(all_0_1_1, all_103_0_30)
% 12.75/3.67 | (182) occurrence_of(all_53_0_16, all_103_0_30)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating (163) with all_105_0_31 yields:
% 12.75/3.67 | (183) activity(all_105_0_31) & occurrence_of(all_53_0_16, all_105_0_31)
% 12.75/3.67 |
% 12.75/3.67 | Applying alpha-rule on (183) yields:
% 12.75/3.67 | (184) activity(all_105_0_31)
% 12.75/3.67 | (185) occurrence_of(all_53_0_16, all_105_0_31)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating (174) with all_115_0_37 yields:
% 12.75/3.67 | (186) subactivity_occurrence(all_115_0_37, all_83_0_27) & root(all_115_0_37, tptp0)
% 12.75/3.67 |
% 12.75/3.67 | Applying alpha-rule on (186) yields:
% 12.75/3.67 | (187) subactivity_occurrence(all_115_0_37, all_83_0_27)
% 12.75/3.67 | (188) root(all_115_0_37, tptp0)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating (166) with all_117_0_38 yields:
% 12.75/3.67 | (189) leaf(all_75_0_22, all_117_0_38) & subactivity_occurrence(all_75_0_22, all_53_0_16) & occurrence_of(all_53_0_16, all_117_0_38)
% 12.75/3.67 |
% 12.75/3.67 | Applying alpha-rule on (189) yields:
% 12.75/3.67 | (190) leaf(all_75_0_22, all_117_0_38)
% 12.75/3.67 | (191) subactivity_occurrence(all_75_0_22, all_53_0_16)
% 12.75/3.67 | (192) occurrence_of(all_53_0_16, all_117_0_38)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating (113) with all_119_0_39 yields:
% 12.75/3.67 | (193) min_precedes(all_119_0_39, all_19_0_8, tptp0) & root(all_119_0_39, tptp0)
% 12.75/3.67 |
% 12.75/3.67 | Applying alpha-rule on (193) yields:
% 12.75/3.67 | (194) min_precedes(all_119_0_39, all_19_0_8, tptp0)
% 12.75/3.67 | (195) root(all_119_0_39, tptp0)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (11) with all_105_0_31, tptp0, all_53_0_16 and discharging atoms occurrence_of(all_53_0_16, all_105_0_31), occurrence_of(all_53_0_16, tptp0), yields:
% 12.75/3.67 | (196) all_105_0_31 = tptp0
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (11) with all_105_0_31, all_117_0_38, all_53_0_16 and discharging atoms occurrence_of(all_53_0_16, all_117_0_38), occurrence_of(all_53_0_16, all_105_0_31), yields:
% 12.75/3.67 | (197) all_117_0_38 = all_105_0_31
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (71) with all_103_0_30, all_53_0_16, all_0_1_1, all_73_0_21 and discharging atoms root_occ(all_73_0_21, all_53_0_16), root_occ(all_0_1_1, all_53_0_16), occurrence_of(all_53_0_16, all_103_0_30), yields:
% 12.75/3.67 | (198) all_73_0_21 = all_0_1_1
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (71) with all_103_0_30, all_53_0_16, all_73_0_21, all_55_0_17 and discharging atoms root_occ(all_73_0_21, all_53_0_16), root_occ(all_55_0_17, all_53_0_16), occurrence_of(all_53_0_16, all_103_0_30), yields:
% 12.75/3.67 | (199) all_73_0_21 = all_55_0_17
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (11) with all_103_0_30, all_117_0_38, all_53_0_16 and discharging atoms occurrence_of(all_53_0_16, all_117_0_38), occurrence_of(all_53_0_16, all_103_0_30), yields:
% 12.75/3.67 | (200) all_117_0_38 = all_103_0_30
% 12.75/3.67 |
% 12.75/3.67 | Combining equations (197,200) yields a new equation:
% 12.75/3.67 | (201) all_105_0_31 = all_103_0_30
% 12.75/3.67 |
% 12.75/3.67 | Simplifying 201 yields:
% 12.75/3.67 | (202) all_105_0_31 = all_103_0_30
% 12.75/3.67 |
% 12.75/3.67 | Combining equations (196,202) yields a new equation:
% 12.75/3.67 | (203) all_103_0_30 = tptp0
% 12.75/3.67 |
% 12.75/3.67 | Combining equations (198,199) yields a new equation:
% 12.75/3.67 | (204) all_55_0_17 = all_0_1_1
% 12.75/3.67 |
% 12.75/3.67 | Combining equations (203,200) yields a new equation:
% 12.75/3.67 | (205) all_117_0_38 = tptp0
% 12.75/3.67 |
% 12.75/3.67 | From (205) and (190) follows:
% 12.75/3.67 | (206) leaf(all_75_0_22, tptp0)
% 12.75/3.67 |
% 12.75/3.67 | From (204) and (172) follows:
% 12.75/3.67 | (207) root_occ(all_0_1_1, all_83_0_27)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (80) with tptp0, all_75_0_22 and discharging atoms leaf(all_75_0_22, tptp0), ~ atomic(tptp0), yields:
% 12.75/3.67 | (208) ? [v0] : (leaf_occ(all_75_0_22, v0) & occurrence_of(v0, tptp0))
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (57) with all_83_0_27 and discharging atoms activity_occurrence(all_83_0_27), yields:
% 12.75/3.67 | (209) ? [v0] : (activity(v0) & occurrence_of(all_83_0_27, v0))
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (51) with tptp0, all_19_0_8, all_119_0_39 and discharging atoms min_precedes(all_119_0_39, all_19_0_8, tptp0), yields:
% 12.75/3.67 | (113) ? [v0] : (min_precedes(v0, all_19_0_8, tptp0) & root(v0, tptp0))
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (74) with tptp0, all_83_0_27, all_79_0_25 and discharging atoms subactivity_occurrence(all_79_0_25, all_83_0_27), root(all_79_0_25, tptp0), occurrence_of(all_83_0_27, tptp0), yields:
% 12.75/3.67 | (211) root_occ(all_79_0_25, all_83_0_27)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (60) with all_53_0_16, all_75_0_22 and discharging atoms subactivity_occurrence(all_75_0_22, all_53_0_16), yields:
% 12.75/3.67 | (212) activity_occurrence(all_75_0_22)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (74) with tptp0, all_83_0_27, all_115_0_37 and discharging atoms subactivity_occurrence(all_115_0_37, all_83_0_27), root(all_115_0_37, tptp0), occurrence_of(all_83_0_27, tptp0), yields:
% 12.75/3.67 | (213) root_occ(all_115_0_37, all_83_0_27)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (58) with all_99_0_28, tptp0, all_19_0_8, all_119_0_39 and discharging atoms min_precedes(all_119_0_39, all_19_0_8, tptp0), subactivity_occurrence(all_19_0_8, all_99_0_28), occurrence_of(all_99_0_28, tptp0), yields:
% 12.75/3.67 | (214) subactivity_occurrence(all_119_0_39, all_99_0_28)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (74) with tptp0, all_99_0_28, all_79_0_25 and discharging atoms subactivity_occurrence(all_79_0_25, all_99_0_28), root(all_79_0_25, tptp0), occurrence_of(all_99_0_28, tptp0), yields:
% 12.75/3.67 | (215) root_occ(all_79_0_25, all_99_0_28)
% 12.75/3.67 |
% 12.75/3.67 | Instantiating formula (69) with all_99_0_28, tptp0 and discharging atoms occurrence_of(all_99_0_28, tptp0), ~ atomic(tptp0), yields:
% 12.75/3.67 | (216) ? [v0] : (subactivity_occurrence(v0, all_99_0_28) & root(v0, tptp0))
% 12.75/3.67 |
% 12.75/3.67 | Instantiating (216) with all_137_0_41 yields:
% 12.75/3.67 | (217) subactivity_occurrence(all_137_0_41, all_99_0_28) & root(all_137_0_41, tptp0)
% 12.75/3.67 |
% 12.75/3.67 | Applying alpha-rule on (217) yields:
% 12.75/3.68 | (218) subactivity_occurrence(all_137_0_41, all_99_0_28)
% 12.75/3.68 | (219) root(all_137_0_41, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating (208) with all_143_0_44 yields:
% 12.75/3.68 | (220) leaf_occ(all_75_0_22, all_143_0_44) & occurrence_of(all_143_0_44, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Applying alpha-rule on (220) yields:
% 12.75/3.68 | (221) leaf_occ(all_75_0_22, all_143_0_44)
% 12.75/3.68 | (222) occurrence_of(all_143_0_44, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating (113) with all_145_0_45 yields:
% 12.75/3.68 | (223) min_precedes(all_145_0_45, all_19_0_8, tptp0) & root(all_145_0_45, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Applying alpha-rule on (223) yields:
% 12.75/3.68 | (224) min_precedes(all_145_0_45, all_19_0_8, tptp0)
% 12.75/3.68 | (225) root(all_145_0_45, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating (209) with all_153_0_50 yields:
% 12.75/3.68 | (226) activity(all_153_0_50) & occurrence_of(all_83_0_27, all_153_0_50)
% 12.75/3.68 |
% 12.75/3.68 | Applying alpha-rule on (226) yields:
% 12.75/3.68 | (227) activity(all_153_0_50)
% 12.75/3.68 | (228) occurrence_of(all_83_0_27, all_153_0_50)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (71) with all_153_0_50, all_83_0_27, all_0_1_1, all_115_0_37 and discharging atoms root_occ(all_115_0_37, all_83_0_27), root_occ(all_0_1_1, all_83_0_27), occurrence_of(all_83_0_27, all_153_0_50), yields:
% 12.75/3.68 | (229) all_115_0_37 = all_0_1_1
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (71) with all_153_0_50, all_83_0_27, all_115_0_37, all_79_0_25 and discharging atoms root_occ(all_115_0_37, all_83_0_27), root_occ(all_79_0_25, all_83_0_27), occurrence_of(all_83_0_27, all_153_0_50), yields:
% 12.75/3.68 | (230) all_115_0_37 = all_79_0_25
% 12.75/3.68 |
% 12.75/3.68 | Combining equations (230,229) yields a new equation:
% 12.75/3.68 | (231) all_79_0_25 = all_0_1_1
% 12.75/3.68 |
% 12.75/3.68 | Simplifying 231 yields:
% 12.75/3.68 | (232) all_79_0_25 = all_0_1_1
% 12.75/3.68 |
% 12.75/3.68 | From (232) and (215) follows:
% 12.75/3.68 | (233) root_occ(all_0_1_1, all_99_0_28)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (57) with all_75_0_22 and discharging atoms activity_occurrence(all_75_0_22), yields:
% 12.75/3.68 | (234) ? [v0] : (activity(v0) & occurrence_of(all_75_0_22, v0))
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (48) with all_145_0_45, tptp0, all_19_0_8 and discharging atoms min_precedes(all_145_0_45, all_19_0_8, tptp0), yields:
% 12.75/3.68 | (235) leaf(all_19_0_8, tptp0) | ? [v0] : min_precedes(all_19_0_8, v0, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (3) with all_143_0_44, all_75_0_22 and discharging atoms leaf_occ(all_75_0_22, all_143_0_44), yields:
% 12.75/3.68 | (236) ? [v0] : (leaf(all_75_0_22, v0) & subactivity_occurrence(all_75_0_22, all_143_0_44) & occurrence_of(all_143_0_44, v0))
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (7) with all_99_0_28, all_0_1_1 and discharging atoms root_occ(all_0_1_1, all_99_0_28), yields:
% 12.75/3.68 | (237) ? [v0] : (subactivity_occurrence(all_0_1_1, all_99_0_28) & root(all_0_1_1, v0) & occurrence_of(all_99_0_28, v0))
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (74) with tptp0, all_99_0_28, all_119_0_39 and discharging atoms subactivity_occurrence(all_119_0_39, all_99_0_28), root(all_119_0_39, tptp0), occurrence_of(all_99_0_28, tptp0), yields:
% 12.75/3.68 | (238) root_occ(all_119_0_39, all_99_0_28)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (74) with tptp0, all_99_0_28, all_137_0_41 and discharging atoms subactivity_occurrence(all_137_0_41, all_99_0_28), root(all_137_0_41, tptp0), occurrence_of(all_99_0_28, tptp0), yields:
% 12.75/3.68 | (239) root_occ(all_137_0_41, all_99_0_28)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating (237) with all_242_0_69 yields:
% 12.75/3.68 | (240) subactivity_occurrence(all_0_1_1, all_99_0_28) & root(all_0_1_1, all_242_0_69) & occurrence_of(all_99_0_28, all_242_0_69)
% 12.75/3.68 |
% 12.75/3.68 | Applying alpha-rule on (240) yields:
% 12.75/3.68 | (241) subactivity_occurrence(all_0_1_1, all_99_0_28)
% 12.75/3.68 | (242) root(all_0_1_1, all_242_0_69)
% 12.75/3.68 | (243) occurrence_of(all_99_0_28, all_242_0_69)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating (234) with all_276_0_87 yields:
% 12.75/3.68 | (244) activity(all_276_0_87) & occurrence_of(all_75_0_22, all_276_0_87)
% 12.75/3.68 |
% 12.75/3.68 | Applying alpha-rule on (244) yields:
% 12.75/3.68 | (245) activity(all_276_0_87)
% 12.75/3.68 | (246) occurrence_of(all_75_0_22, all_276_0_87)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating (236) with all_294_0_97 yields:
% 12.75/3.68 | (247) leaf(all_75_0_22, all_294_0_97) & subactivity_occurrence(all_75_0_22, all_143_0_44) & occurrence_of(all_143_0_44, all_294_0_97)
% 12.75/3.68 |
% 12.75/3.68 | Applying alpha-rule on (247) yields:
% 12.75/3.68 | (248) leaf(all_75_0_22, all_294_0_97)
% 12.75/3.68 | (249) subactivity_occurrence(all_75_0_22, all_143_0_44)
% 12.75/3.68 | (250) occurrence_of(all_143_0_44, all_294_0_97)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (11) with all_294_0_97, tptp0, all_143_0_44 and discharging atoms occurrence_of(all_143_0_44, all_294_0_97), occurrence_of(all_143_0_44, tptp0), yields:
% 12.75/3.68 | (251) all_294_0_97 = tptp0
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (71) with all_242_0_69, all_99_0_28, all_0_1_1, all_137_0_41 and discharging atoms root_occ(all_137_0_41, all_99_0_28), root_occ(all_0_1_1, all_99_0_28), occurrence_of(all_99_0_28, all_242_0_69), yields:
% 12.75/3.68 | (252) all_137_0_41 = all_0_1_1
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (71) with all_242_0_69, all_99_0_28, all_137_0_41, all_119_0_39 and discharging atoms root_occ(all_137_0_41, all_99_0_28), root_occ(all_119_0_39, all_99_0_28), occurrence_of(all_99_0_28, all_242_0_69), yields:
% 12.75/3.68 | (253) all_137_0_41 = all_119_0_39
% 12.75/3.68 |
% 12.75/3.68 | Combining equations (253,252) yields a new equation:
% 12.75/3.68 | (254) all_119_0_39 = all_0_1_1
% 12.75/3.68 |
% 12.75/3.68 | Simplifying 254 yields:
% 12.75/3.68 | (255) all_119_0_39 = all_0_1_1
% 12.75/3.68 |
% 12.75/3.68 | From (251) and (248) follows:
% 12.75/3.68 | (206) leaf(all_75_0_22, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | From (255) and (194) follows:
% 12.75/3.68 | (98) min_precedes(all_0_1_1, all_19_0_8, tptp0)
% 12.75/3.68 |
% 12.75/3.68 +-Applying beta-rule and splitting (235), into two cases.
% 12.75/3.68 |-Branch one:
% 12.75/3.68 | (258) leaf(all_19_0_8, tptp0)
% 12.75/3.68 |
% 12.75/3.68 +-Applying beta-rule and splitting (142), into two cases.
% 12.75/3.68 |-Branch one:
% 12.75/3.68 | (259) occurrence_of(all_75_0_22, tptp2)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (11) with tptp2, all_276_0_87, all_75_0_22 and discharging atoms occurrence_of(all_75_0_22, all_276_0_87), occurrence_of(all_75_0_22, tptp2), yields:
% 12.75/3.68 | (260) all_276_0_87 = tptp2
% 12.75/3.68 |
% 12.75/3.68 | From (260) and (246) follows:
% 12.75/3.68 | (259) occurrence_of(all_75_0_22, tptp2)
% 12.75/3.68 |
% 12.75/3.68 +-Applying beta-rule and splitting (167), into two cases.
% 12.75/3.68 |-Branch one:
% 12.75/3.68 | (262) min_precedes(all_19_0_8, all_75_0_22, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (56) with all_75_0_22, tptp0, all_19_0_8 and discharging atoms leaf(all_19_0_8, tptp0), min_precedes(all_19_0_8, all_75_0_22, tptp0), yields:
% 12.75/3.68 | (263) $false
% 12.75/3.68 |
% 12.75/3.68 |-The branch is then unsatisfiable
% 12.75/3.68 |-Branch two:
% 12.75/3.68 | (264) ~ min_precedes(all_19_0_8, all_75_0_22, tptp0)
% 12.75/3.68 | (265) all_75_0_22 = all_19_0_8
% 12.75/3.68 |
% 12.75/3.68 | From (265) and (259) follows:
% 12.75/3.68 | (266) occurrence_of(all_19_0_8, tptp2)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (11) with tptp2, all_19_1_9, all_19_0_8 and discharging atoms occurrence_of(all_19_0_8, all_19_1_9), occurrence_of(all_19_0_8, tptp2), yields:
% 12.75/3.68 | (267) all_19_1_9 = tptp2
% 12.75/3.68 |
% 12.75/3.68 | From (267) and (93) follows:
% 12.75/3.68 | (268) send_message(tptp2, all_9_2_5, all_9_1_4, all_0_1_1, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (77) with tptp0, all_0_1_1, all_9_1_4, all_9_2_5 and discharging atoms send_message(tptp2, all_9_2_5, all_9_1_4, all_0_1_1, tptp0), yields:
% 12.75/3.68 | (263) $false
% 12.75/3.68 |
% 12.75/3.68 |-The branch is then unsatisfiable
% 12.75/3.68 |-Branch two:
% 12.75/3.68 | (270) ~ occurrence_of(all_75_0_22, tptp2)
% 12.75/3.68 | (271) occurrence_of(all_75_0_22, tptp3)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (11) with tptp3, all_276_0_87, all_75_0_22 and discharging atoms occurrence_of(all_75_0_22, all_276_0_87), occurrence_of(all_75_0_22, tptp3), yields:
% 12.75/3.68 | (272) all_276_0_87 = tptp3
% 12.75/3.68 |
% 12.75/3.68 | From (272) and (246) follows:
% 12.75/3.68 | (271) occurrence_of(all_75_0_22, tptp3)
% 12.75/3.68 |
% 12.75/3.68 +-Applying beta-rule and splitting (167), into two cases.
% 12.75/3.68 |-Branch one:
% 12.75/3.68 | (262) min_precedes(all_19_0_8, all_75_0_22, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (56) with all_75_0_22, tptp0, all_19_0_8 and discharging atoms leaf(all_19_0_8, tptp0), min_precedes(all_19_0_8, all_75_0_22, tptp0), yields:
% 12.75/3.68 | (263) $false
% 12.75/3.68 |
% 12.75/3.68 |-The branch is then unsatisfiable
% 12.75/3.68 |-Branch two:
% 12.75/3.68 | (264) ~ min_precedes(all_19_0_8, all_75_0_22, tptp0)
% 12.75/3.68 | (265) all_75_0_22 = all_19_0_8
% 12.75/3.68 |
% 12.75/3.68 | From (265) and (271) follows:
% 12.75/3.68 | (278) occurrence_of(all_19_0_8, tptp3)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (11) with tptp3, all_19_1_9, all_19_0_8 and discharging atoms occurrence_of(all_19_0_8, all_19_1_9), occurrence_of(all_19_0_8, tptp3), yields:
% 12.75/3.68 | (279) all_19_1_9 = tptp3
% 12.75/3.68 |
% 12.75/3.68 | From (279) and (93) follows:
% 12.75/3.68 | (280) send_message(tptp3, all_9_2_5, all_9_1_4, all_0_1_1, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Instantiating formula (47) with tptp0, all_0_1_1, all_9_1_4, all_9_2_5 and discharging atoms send_message(tptp3, all_9_2_5, all_9_1_4, all_0_1_1, tptp0), yields:
% 12.75/3.68 | (263) $false
% 12.75/3.68 |
% 12.75/3.68 |-The branch is then unsatisfiable
% 12.75/3.68 |-Branch two:
% 12.75/3.68 | (282) ~ leaf(all_19_0_8, tptp0)
% 12.75/3.68 | (283) ? [v0] : min_precedes(all_19_0_8, v0, tptp0)
% 12.75/3.68 |
% 12.75/3.68 +-Applying beta-rule and splitting (235), into two cases.
% 12.75/3.68 |-Branch one:
% 12.75/3.68 | (258) leaf(all_19_0_8, tptp0)
% 12.75/3.68 |
% 12.75/3.68 | Using (258) and (282) yields:
% 12.75/3.68 | (263) $false
% 12.75/3.68 |
% 12.75/3.68 |-The branch is then unsatisfiable
% 12.75/3.68 |-Branch two:
% 12.75/3.68 | (282) ~ leaf(all_19_0_8, tptp0)
% 12.75/3.69 | (283) ? [v0] : min_precedes(all_19_0_8, v0, tptp0)
% 12.75/3.69 |
% 12.75/3.69 +-Applying beta-rule and splitting (235), into two cases.
% 12.75/3.69 |-Branch one:
% 12.75/3.69 | (258) leaf(all_19_0_8, tptp0)
% 12.75/3.69 |
% 12.75/3.69 | Using (258) and (282) yields:
% 12.75/3.69 | (263) $false
% 12.75/3.69 |
% 12.75/3.69 |-The branch is then unsatisfiable
% 12.75/3.69 |-Branch two:
% 12.75/3.69 | (282) ~ leaf(all_19_0_8, tptp0)
% 12.75/3.69 | (283) ? [v0] : min_precedes(all_19_0_8, v0, tptp0)
% 12.75/3.69 |
% 12.75/3.69 +-Applying beta-rule and splitting (235), into two cases.
% 12.75/3.69 |-Branch one:
% 12.75/3.69 | (258) leaf(all_19_0_8, tptp0)
% 12.75/3.69 |
% 12.75/3.69 | Using (258) and (282) yields:
% 12.75/3.69 | (263) $false
% 12.75/3.69 |
% 12.75/3.69 |-The branch is then unsatisfiable
% 12.75/3.69 |-Branch two:
% 12.75/3.69 | (282) ~ leaf(all_19_0_8, tptp0)
% 12.75/3.69 | (283) ? [v0] : min_precedes(all_19_0_8, v0, tptp0)
% 12.75/3.69 |
% 12.75/3.69 +-Applying beta-rule and splitting (235), into two cases.
% 12.75/3.69 |-Branch one:
% 12.75/3.69 | (258) leaf(all_19_0_8, tptp0)
% 12.75/3.69 |
% 12.75/3.69 | Using (258) and (282) yields:
% 12.75/3.69 | (263) $false
% 12.75/3.69 |
% 12.75/3.69 |-The branch is then unsatisfiable
% 12.75/3.69 |-Branch two:
% 12.75/3.69 | (282) ~ leaf(all_19_0_8, tptp0)
% 12.75/3.69 | (283) ? [v0] : min_precedes(all_19_0_8, v0, tptp0)
% 12.75/3.69 |
% 12.75/3.69 +-Applying beta-rule and splitting (167), into two cases.
% 12.75/3.69 |-Branch one:
% 12.75/3.69 | (262) min_precedes(all_19_0_8, all_75_0_22, tptp0)
% 12.75/3.69 |
% 12.75/3.69 | Instantiating formula (43) with all_19_0_8, tptp0, all_75_0_22, all_0_1_1 and discharging atoms next_subocc(all_0_1_1, all_75_0_22, tptp0), min_precedes(all_19_0_8, all_75_0_22, tptp0), min_precedes(all_0_1_1, all_19_0_8, tptp0), yields:
% 12.75/3.69 | (263) $false
% 12.75/3.69 |
% 12.75/3.69 |-The branch is then unsatisfiable
% 12.75/3.69 |-Branch two:
% 12.75/3.69 | (264) ~ min_precedes(all_19_0_8, all_75_0_22, tptp0)
% 12.75/3.69 | (265) all_75_0_22 = all_19_0_8
% 12.75/3.69 |
% 12.75/3.69 | From (265) and (206) follows:
% 12.75/3.69 | (258) leaf(all_19_0_8, tptp0)
% 12.75/3.69 |
% 12.75/3.69 | Using (258) and (282) yields:
% 12.75/3.69 | (263) $false
% 12.75/3.69 |
% 12.75/3.69 |-The branch is then unsatisfiable
% 12.75/3.69 % SZS output end Proof for theBenchmark
% 12.75/3.69
% 12.75/3.69 3039ms
%------------------------------------------------------------------------------