TSTP Solution File: MGT039+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT039+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.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 : Sun Jul 17 22:07:07 EDT 2022
% Result : Theorem 19.50s 5.40s
% Output : Proof 204.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : MGT039+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n025.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 : Thu Jun 9 08:02:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.50/0.59 ____ _
% 0.50/0.59 ___ / __ \_____(_)___ ________ __________
% 0.50/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.50/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.50/0.59
% 0.50/0.59 A Theorem Prover for First-Order Logic
% 0.50/0.59 (ePrincess v.1.0)
% 0.50/0.59
% 0.50/0.59 (c) Philipp Rümmer, 2009-2015
% 0.50/0.59 (c) Peter Backeman, 2014-2015
% 0.50/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.59 Bug reports to peter@backeman.se
% 0.50/0.59
% 0.50/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.59
% 0.50/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.44/0.91 Prover 0: Preprocessing ...
% 1.95/1.06 Prover 0: Warning: ignoring some quantifiers
% 1.95/1.08 Prover 0: Constructing countermodel ...
% 3.05/1.36 Prover 0: gave up
% 3.13/1.36 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.13/1.39 Prover 1: Preprocessing ...
% 3.54/1.47 Prover 1: Constructing countermodel ...
% 16.69/4.73 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 16.69/4.75 Prover 2: Preprocessing ...
% 16.81/4.82 Prover 2: Warning: ignoring some quantifiers
% 16.81/4.83 Prover 2: Constructing countermodel ...
% 19.50/5.40 Prover 2: proved (661ms)
% 19.50/5.40 Prover 1: stopped
% 19.50/5.40
% 19.50/5.40 No countermodel exists, formula is valid
% 19.50/5.40 % SZS status Theorem for theBenchmark
% 19.50/5.40
% 19.50/5.40 Generating proof ... Warning: ignoring some quantifiers
% 197.61/159.75 found it (size 8893)
% 197.61/159.75
% 197.61/159.75 % SZS output start Proof for theBenchmark
% 197.61/159.75 Assumed formulas after preprocessing and simplification:
% 197.61/159.75 | (0) ? [v0] : ? [v1] : ( ~ (v1 = 0) & propagation_strategy(efficient_producers) = 0 & propagation_strategy(first_movers) = 0 & slow_change(v0) = 0 & observational_period(v0) = 0 & selection_favors(efficient_producers, first_movers, v0) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (selection_favors(v6, v5, v4) = v3) | ~ (selection_favors(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (greater_or_equal(v4, v3) = v5) | ~ (end_time(v2) = v4) | ? [v6] : ? [v7] : ((v6 = 0 & greater(v3, v4) = 0) | ( ~ (v7 = 0) & start_time(v2) = v6 & greater(v3, v6) = v7) | ( ~ (v6 = 0) & environment(v2) = v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (greater_or_equal(v4, v3) = v5) | ~ (end_time(v2) = v4) | ? [v6] : (( ~ (v6 = 0) & environment(v2) = v6) | ( ~ (v6 = 0) & in_environment(v2, v3) = v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (greater(v3, v4) = v5) | ~ (end_time(v2) = v4) | ? [v6] : ? [v7] : ((v6 = 0 & greater_or_equal(v4, v3) = 0) | ( ~ (v7 = 0) & start_time(v2) = v6 & greater(v3, v6) = v7) | ( ~ (v6 = 0) & environment(v2) = v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (greater(v3, v4) = 0) | ~ (greater(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & greater(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (greater(v2, v4) = v5) | ~ (greater(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & greater(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (greater_or_equal(v5, v4) = v3) | ~ (greater_or_equal(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (greater(v5, v4) = v3) | ~ (greater(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (in_environment(v5, v4) = v3) | ~ (in_environment(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (greater(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & greater_or_equal(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater_or_equal(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & greater(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (in_environment(v2, v3) = v4) | ? [v5] : ? [v6] : (( ~ (v6 = 0) & start_time(v2) = v5 & greater_or_equal(v3, v5) = v6) | ( ~ (v6 = 0) & greater_or_equal(v5, v3) = v6 & end_time(v2) = v5) | ( ~ (v5 = 0) & environment(v2) = v5))) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (propagation_strategy(v4) = v3) | ~ (propagation_strategy(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (start_time(v4) = v3) | ~ (start_time(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (slow_change(v4) = v3) | ~ (slow_change(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (critical_point(v4) = v3) | ~ (critical_point(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (observational_period(v4) = v3) | ~ (observational_period(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (environment(v4) = v3) | ~ (environment(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (end_time(v4) = v3) | ~ (end_time(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (start_time(v2) = v4) | ~ (greater_or_equal(v3, v4) = 0) | ? [v5] : ? [v6] : ((v5 = 0 & in_environment(v2, v3) = 0) | ( ~ (v6 = 0) & greater_or_equal(v5, v3) = v6 & end_time(v2) = v5) | ( ~ (v5 = 0) & environment(v2) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (start_time(v2) = v4) | ~ (greater(v3, v4) = 0) | ? [v5] : ? [v6] : ((v6 = 0 & greater_or_equal(v5, v3) = 0 & end_time(v2) = v5) | (v6 = 0 & greater(v3, v5) = 0 & end_time(v2) = v5) | ( ~ (v5 = 0) & environment(v2) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (greater_or_equal(v4, v3) = 0) | ~ (end_time(v2) = v4) | ? [v5] : ? [v6] : ((v5 = 0 & in_environment(v2, v3) = 0) | ( ~ (v6 = 0) & start_time(v2) = v5 & greater_or_equal(v3, v5) = v6) | ( ~ (v5 = 0) & environment(v2) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (slow_change(v2) = 0) | ~ (critical_point(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & greater(v5, v4) = 0 & in_environment(v3, v5) = 0) | ( ~ (v5 = 0) & observational_period(v2) = v5) | ( ~ (v5 = 0) & environment(v3) = v5) | ( ~ (v5 = 0) & in_environment(v2, v3) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (critical_point(v3) = v4) | ~ (observational_period(v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & greater(v5, v4) = 0 & in_environment(v3, v5) = 0) | ( ~ (v5 = 0) & slow_change(v2) = v5) | ( ~ (v5 = 0) & environment(v3) = v5) | ( ~ (v5 = 0) & in_environment(v2, v3) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (critical_point(v2) = v4) | ~ (greater(v3, v4) = 0) | ? [v5] : ((v5 = 0 & selection_favors(efficient_producers, first_movers, v3) = 0) | ( ~ (v5 = 0) & environment(v2) = v5) | ( ~ (v5 = 0) & in_environment(v2, v3) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (greater(v3, v4) = 0) | ~ (greater(v2, v3) = 0) | greater(v2, v4) = 0) & ! [v2] : ! [v3] : (v3 = v2 | ~ (greater_or_equal(v2, v3) = 0) | greater(v2, v3) = 0) & ! [v2] : ! [v3] : (v3 = 0 | ~ (greater_or_equal(v2, v2) = v3)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (selection_favors(efficient_producers, first_movers, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v6 = 0 & v5 = 0 & ~ (v8 = 0) & environment(v4) = 0 & in_environment(v2, v4) = 0 & end_time(v4) = v7 & selection_favors(efficient_producers, first_movers, v7) = v8) | ( ~ (v4 = 0) & observational_period(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (start_time(v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & greater_or_equal(v4, v3) = 0 & critical_point(v2) = v4) | ( ~ (v4 = 0) & environment(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (slow_change(v2) = 0) | ~ (environment(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & critical_point(v3) = v4 & greater(v5, v4) = 0 & in_environment(v3, v5) = 0) | ( ~ (v4 = 0) & observational_period(v2) = v4) | ( ~ (v4 = 0) & in_environment(v2, v3) = v4))) & ! [v2] : ! [v3] : ( ~ (slow_change(v2) = 0) | ~ (in_environment(v2, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & critical_point(v3) = v4 & greater(v5, v4) = 0 & in_environment(v3, v5) = 0) | ( ~ (v4 = 0) & observational_period(v2) = v4) | ( ~ (v4 = 0) & environment(v3) = v4))) & ! [v2] : ! [v3] : ( ~ (critical_point(v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & start_time(v2) = v4 & greater_or_equal(v3, v4) = 0) | ( ~ (v4 = 0) & environment(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (greater(v2, v3) = 0) | greater_or_equal(v2, v3) = 0) & ! [v2] : ! [v3] : ( ~ (greater(v2, v2) = v3) | greater_or_equal(v2, v2) = 0) & ! [v2] : ! [v3] : ( ~ (observational_period(v2) = 0) | ~ (environment(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & critical_point(v3) = v4 & greater(v5, v4) = 0 & in_environment(v3, v5) = 0) | ( ~ (v4 = 0) & slow_change(v2) = v4) | ( ~ (v4 = 0) & in_environment(v2, v3) = v4))) & ! [v2] : ! [v3] : ( ~ (observational_period(v2) = 0) | ~ (in_environment(v2, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & critical_point(v3) = v4 & greater(v5, v4) = 0 & in_environment(v3, v5) = 0) | ( ~ (v4 = 0) & slow_change(v2) = v4) | ( ~ (v4 = 0) & environment(v3) = v4))) & ! [v2] : ! [v3] : ( ~ (in_environment(v2, v3) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & greater_or_equal(v4, v3) = 0 & end_time(v2) = v4) | ( ~ (v4 = 0) & environment(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (in_environment(v2, v3) = 0) | ? [v4] : ? [v5] : ((v4 = 0 & selection_favors(efficient_producers, first_movers, v3) = 0) | ( ~ (v5 = 0) & critical_point(v2) = v4 & greater(v3, v4) = v5) | ( ~ (v4 = 0) & environment(v2) = v4))) & ! [v2] : ( ~ (observational_period(v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = 0 & v4 = 0 & ~ (v7 = 0) & environment(v3) = 0 & in_environment(v2, v3) = 0 & end_time(v3) = v6 & selection_favors(efficient_producers, first_movers, v6) = v7) | (v3 = 0 & selection_favors(efficient_producers, first_movers, v2) = 0))) & ! [v2] : ( ~ (environment(v2) = 0) | ? [v3] : ? [v4] : (start_time(v2) = v4 & greater_or_equal(v3, v4) = 0 & critical_point(v2) = v3)) & ? [v2] : ? [v3] : ? [v4] : ? [v5] : selection_favors(v4, v3, v2) = v5 & ? [v2] : ? [v3] : ? [v4] : greater_or_equal(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : greater(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : in_environment(v3, v2) = v4 & ? [v2] : ? [v3] : propagation_strategy(v2) = v3 & ? [v2] : ? [v3] : start_time(v2) = v3 & ? [v2] : ? [v3] : slow_change(v2) = v3 & ? [v2] : ? [v3] : critical_point(v2) = v3 & ? [v2] : ? [v3] : observational_period(v2) = v3 & ? [v2] : ? [v3] : environment(v2) = v3 & ? [v2] : ? [v3] : end_time(v2) = v3)
% 197.88/159.81 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 197.88/159.81 | (1) ~ (all_0_0_0 = 0) & propagation_strategy(efficient_producers) = 0 & propagation_strategy(first_movers) = 0 & slow_change(all_0_1_1) = 0 & observational_period(all_0_1_1) = 0 & selection_favors(efficient_producers, first_movers, all_0_1_1) = all_0_0_0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (selection_favors(v4, v3, v2) = v1) | ~ (selection_favors(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater_or_equal(v2, v1) = v3) | ~ (end_time(v0) = v2) | ? [v4] : ? [v5] : ((v4 = 0 & greater(v1, v2) = 0) | ( ~ (v5 = 0) & start_time(v0) = v4 & greater(v1, v4) = v5) | ( ~ (v4 = 0) & environment(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater_or_equal(v2, v1) = v3) | ~ (end_time(v0) = v2) | ? [v4] : (( ~ (v4 = 0) & environment(v0) = v4) | ( ~ (v4 = 0) & in_environment(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = v3) | ~ (end_time(v0) = v2) | ? [v4] : ? [v5] : ((v4 = 0 & greater_or_equal(v2, v1) = 0) | ( ~ (v5 = 0) & start_time(v0) = v4 & greater(v1, v4) = v5) | ( ~ (v4 = 0) & environment(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = 0) | ~ (greater(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in_environment(v3, v2) = v1) | ~ (in_environment(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (in_environment(v0, v1) = v2) | ? [v3] : ? [v4] : (( ~ (v4 = 0) & start_time(v0) = v3 & greater_or_equal(v1, v3) = v4) | ( ~ (v4 = 0) & greater_or_equal(v3, v1) = v4 & end_time(v0) = v3) | ( ~ (v3 = 0) & environment(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (propagation_strategy(v2) = v1) | ~ (propagation_strategy(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (start_time(v2) = v1) | ~ (start_time(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (slow_change(v2) = v1) | ~ (slow_change(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (critical_point(v2) = v1) | ~ (critical_point(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (observational_period(v2) = v1) | ~ (observational_period(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (environment(v2) = v1) | ~ (environment(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (end_time(v2) = v1) | ~ (end_time(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (start_time(v0) = v2) | ~ (greater_or_equal(v1, v2) = 0) | ? [v3] : ? [v4] : ((v3 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & greater_or_equal(v3, v1) = v4 & end_time(v0) = v3) | ( ~ (v3 = 0) & environment(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (start_time(v0) = v2) | ~ (greater(v1, v2) = 0) | ? [v3] : ? [v4] : ((v4 = 0 & greater_or_equal(v3, v1) = 0 & end_time(v0) = v3) | (v4 = 0 & greater(v1, v3) = 0 & end_time(v0) = v3) | ( ~ (v3 = 0) & environment(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (greater_or_equal(v2, v1) = 0) | ~ (end_time(v0) = v2) | ? [v3] : ? [v4] : ((v3 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & start_time(v0) = v3 & greater_or_equal(v1, v3) = v4) | ( ~ (v3 = 0) & environment(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (slow_change(v0) = 0) | ~ (critical_point(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v3 = 0) & observational_period(v0) = v3) | ( ~ (v3 = 0) & environment(v1) = v3) | ( ~ (v3 = 0) & in_environment(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (critical_point(v1) = v2) | ~ (observational_period(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v3 = 0) & slow_change(v0) = v3) | ( ~ (v3 = 0) & environment(v1) = v3) | ( ~ (v3 = 0) & in_environment(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (critical_point(v0) = v2) | ~ (greater(v1, v2) = 0) | ? [v3] : ((v3 = 0 & selection_favors(efficient_producers, first_movers, v1) = 0) | ( ~ (v3 = 0) & environment(v0) = v3) | ( ~ (v3 = 0) & in_environment(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0) & ! [v0] : ! [v1] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (greater_or_equal(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (selection_favors(efficient_producers, first_movers, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & v3 = 0 & ~ (v6 = 0) & environment(v2) = 0 & in_environment(v0, v2) = 0 & end_time(v2) = v5 & selection_favors(efficient_producers, first_movers, v5) = v6) | ( ~ (v2 = 0) & observational_period(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (start_time(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & greater_or_equal(v2, v1) = 0 & critical_point(v0) = v2) | ( ~ (v2 = 0) & environment(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (slow_change(v0) = 0) | ~ (environment(v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & critical_point(v1) = v2 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v2 = 0) & observational_period(v0) = v2) | ( ~ (v2 = 0) & in_environment(v0, v1) = v2))) & ! [v0] : ! [v1] : ( ~ (slow_change(v0) = 0) | ~ (in_environment(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & critical_point(v1) = v2 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v2 = 0) & observational_period(v0) = v2) | ( ~ (v2 = 0) & environment(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (critical_point(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & start_time(v0) = v2 & greater_or_equal(v1, v2) = 0) | ( ~ (v2 = 0) & environment(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | greater_or_equal(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (greater(v0, v0) = v1) | greater_or_equal(v0, v0) = 0) & ! [v0] : ! [v1] : ( ~ (observational_period(v0) = 0) | ~ (environment(v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & critical_point(v1) = v2 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v2 = 0) & slow_change(v0) = v2) | ( ~ (v2 = 0) & in_environment(v0, v1) = v2))) & ! [v0] : ! [v1] : ( ~ (observational_period(v0) = 0) | ~ (in_environment(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & critical_point(v1) = v2 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v2 = 0) & slow_change(v0) = v2) | ( ~ (v2 = 0) & environment(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (in_environment(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & greater_or_equal(v2, v1) = 0 & end_time(v0) = v2) | ( ~ (v2 = 0) & environment(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (in_environment(v0, v1) = 0) | ? [v2] : ? [v3] : ((v2 = 0 & selection_favors(efficient_producers, first_movers, v1) = 0) | ( ~ (v3 = 0) & critical_point(v0) = v2 & greater(v1, v2) = v3) | ( ~ (v2 = 0) & environment(v0) = v2))) & ! [v0] : ( ~ (observational_period(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v3 = 0 & v2 = 0 & ~ (v5 = 0) & environment(v1) = 0 & in_environment(v0, v1) = 0 & end_time(v1) = v4 & selection_favors(efficient_producers, first_movers, v4) = v5) | (v1 = 0 & selection_favors(efficient_producers, first_movers, v0) = 0))) & ! [v0] : ( ~ (environment(v0) = 0) | ? [v1] : ? [v2] : (start_time(v0) = v2 & greater_or_equal(v1, v2) = 0 & critical_point(v0) = v1)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : selection_favors(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : greater_or_equal(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : greater(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : in_environment(v1, v0) = v2 & ? [v0] : ? [v1] : propagation_strategy(v0) = v1 & ? [v0] : ? [v1] : start_time(v0) = v1 & ? [v0] : ? [v1] : slow_change(v0) = v1 & ? [v0] : ? [v1] : critical_point(v0) = v1 & ? [v0] : ? [v1] : observational_period(v0) = v1 & ? [v0] : ? [v1] : environment(v0) = v1 & ? [v0] : ? [v1] : end_time(v0) = v1
% 197.88/159.83 |
% 197.88/159.83 | Applying alpha-rule on (1) yields:
% 197.88/159.83 | (2) propagation_strategy(efficient_producers) = 0
% 197.88/159.83 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (slow_change(v2) = v1) | ~ (slow_change(v2) = v0))
% 197.88/159.83 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0))
% 197.88/159.83 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater_or_equal(v2, v1) = v3) | ~ (end_time(v0) = v2) | ? [v4] : ? [v5] : ((v4 = 0 & greater(v1, v2) = 0) | ( ~ (v5 = 0) & start_time(v0) = v4 & greater(v1, v4) = v5) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 197.88/159.83 | (6) ! [v0] : ! [v1] : (v1 = 0 | ~ (selection_favors(efficient_producers, first_movers, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & v3 = 0 & ~ (v6 = 0) & environment(v2) = 0 & in_environment(v0, v2) = 0 & end_time(v2) = v5 & selection_favors(efficient_producers, first_movers, v5) = v6) | ( ~ (v2 = 0) & observational_period(v0) = v2)))
% 197.88/159.83 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0))
% 197.88/159.83 | (8) slow_change(all_0_1_1) = 0
% 197.88/159.83 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))
% 197.88/159.83 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ (start_time(v0) = v2) | ~ (greater_or_equal(v1, v2) = 0) | ? [v3] : ? [v4] : ((v3 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & greater_or_equal(v3, v1) = v4 & end_time(v0) = v3) | ( ~ (v3 = 0) & environment(v0) = v3)))
% 197.88/159.84 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (critical_point(v1) = v2) | ~ (observational_period(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v3 = 0) & slow_change(v0) = v3) | ( ~ (v3 = 0) & environment(v1) = v3) | ( ~ (v3 = 0) & in_environment(v0, v1) = v3)))
% 197.88/159.84 | (12) ? [v0] : ? [v1] : propagation_strategy(v0) = v1
% 197.88/159.84 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3))
% 197.88/159.84 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater_or_equal(v2, v1) = v3) | ~ (end_time(v0) = v2) | ? [v4] : (( ~ (v4 = 0) & environment(v0) = v4) | ( ~ (v4 = 0) & in_environment(v0, v1) = v4)))
% 197.88/159.84 | (15) ! [v0] : ! [v1] : ( ~ (slow_change(v0) = 0) | ~ (environment(v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & critical_point(v1) = v2 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v2 = 0) & observational_period(v0) = v2) | ( ~ (v2 = 0) & in_environment(v0, v1) = v2)))
% 197.88/159.84 | (16) observational_period(all_0_1_1) = 0
% 197.88/159.84 | (17) ? [v0] : ? [v1] : ? [v2] : ? [v3] : selection_favors(v2, v1, v0) = v3
% 197.88/159.84 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0)
% 197.88/159.84 | (19) ? [v0] : ? [v1] : observational_period(v0) = v1
% 197.88/159.84 | (20) ! [v0] : ! [v1] : ( ~ (critical_point(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & start_time(v0) = v2 & greater_or_equal(v1, v2) = 0) | ( ~ (v2 = 0) & environment(v0) = v2)))
% 197.88/159.84 | (21) ? [v0] : ? [v1] : environment(v0) = v1
% 197.88/159.84 | (22) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (critical_point(v2) = v1) | ~ (critical_point(v2) = v0))
% 197.88/159.84 | (23) ! [v0] : ! [v1] : ( ~ (start_time(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & greater_or_equal(v2, v1) = 0 & critical_point(v0) = v2) | ( ~ (v2 = 0) & environment(v0) = v2)))
% 197.88/159.84 | (24) ! [v0] : ! [v1] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0)
% 197.88/159.84 | (25) ! [v0] : ( ~ (observational_period(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v3 = 0 & v2 = 0 & ~ (v5 = 0) & environment(v1) = 0 & in_environment(v0, v1) = 0 & end_time(v1) = v4 & selection_favors(efficient_producers, first_movers, v4) = v5) | (v1 = 0 & selection_favors(efficient_producers, first_movers, v0) = 0)))
% 197.88/159.84 | (26) ? [v0] : ? [v1] : start_time(v0) = v1
% 197.88/159.84 | (27) ? [v0] : ? [v1] : ? [v2] : greater(v1, v0) = v2
% 197.88/159.84 | (28) selection_favors(efficient_producers, first_movers, all_0_1_1) = all_0_0_0
% 197.88/159.84 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ (critical_point(v0) = v2) | ~ (greater(v1, v2) = 0) | ? [v3] : ((v3 = 0 & selection_favors(efficient_producers, first_movers, v1) = 0) | ( ~ (v3 = 0) & environment(v0) = v3) | ( ~ (v3 = 0) & in_environment(v0, v1) = v3)))
% 197.88/159.84 | (30) ! [v0] : ( ~ (environment(v0) = 0) | ? [v1] : ? [v2] : (start_time(v0) = v2 & greater_or_equal(v1, v2) = 0 & critical_point(v0) = v1))
% 197.88/159.84 | (31) ? [v0] : ? [v1] : slow_change(v0) = v1
% 197.88/159.84 | (32) propagation_strategy(first_movers) = 0
% 197.88/159.84 | (33) ? [v0] : ? [v1] : end_time(v0) = v1
% 197.88/159.84 | (34) ! [v0] : ! [v1] : (v1 = 0 | ~ (greater_or_equal(v0, v0) = v1))
% 197.88/159.84 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (environment(v2) = v1) | ~ (environment(v2) = v0))
% 197.88/159.84 | (36) ! [v0] : ! [v1] : ( ~ (in_environment(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & greater_or_equal(v2, v1) = 0 & end_time(v0) = v2) | ( ~ (v2 = 0) & environment(v0) = v2)))
% 197.88/159.85 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater_or_equal(v2, v1) = 0) | ~ (end_time(v0) = v2) | ? [v3] : ? [v4] : ((v3 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & start_time(v0) = v3 & greater_or_equal(v1, v3) = v4) | ( ~ (v3 = 0) & environment(v0) = v3)))
% 197.88/159.85 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (selection_favors(v4, v3, v2) = v1) | ~ (selection_favors(v4, v3, v2) = v0))
% 197.88/159.85 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (propagation_strategy(v2) = v1) | ~ (propagation_strategy(v2) = v0))
% 197.88/159.85 | (40) ? [v0] : ? [v1] : ? [v2] : greater_or_equal(v1, v0) = v2
% 197.88/159.85 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = v3) | ~ (end_time(v0) = v2) | ? [v4] : ? [v5] : ((v4 = 0 & greater_or_equal(v2, v1) = 0) | ( ~ (v5 = 0) & start_time(v0) = v4 & greater(v1, v4) = v5) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 197.88/159.85 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in_environment(v3, v2) = v1) | ~ (in_environment(v3, v2) = v0))
% 197.88/159.85 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (end_time(v2) = v1) | ~ (end_time(v2) = v0))
% 197.88/159.85 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (start_time(v0) = v2) | ~ (greater(v1, v2) = 0) | ? [v3] : ? [v4] : ((v4 = 0 & greater_or_equal(v3, v1) = 0 & end_time(v0) = v3) | (v4 = 0 & greater(v1, v3) = 0 & end_time(v0) = v3) | ( ~ (v3 = 0) & environment(v0) = v3)))
% 197.88/159.85 | (45) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3))
% 197.88/159.85 | (46) ! [v0] : ! [v1] : ( ~ (observational_period(v0) = 0) | ~ (environment(v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & critical_point(v1) = v2 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v2 = 0) & slow_change(v0) = v2) | ( ~ (v2 = 0) & in_environment(v0, v1) = v2)))
% 197.88/159.85 | (47) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (observational_period(v2) = v1) | ~ (observational_period(v2) = v0))
% 197.88/159.85 | (48) ? [v0] : ? [v1] : critical_point(v0) = v1
% 197.88/159.85 | (49) ! [v0] : ! [v1] : ( ~ (greater(v0, v0) = v1) | greater_or_equal(v0, v0) = 0)
% 197.88/159.85 | (50) ! [v0] : ! [v1] : ( ~ (slow_change(v0) = 0) | ~ (in_environment(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & critical_point(v1) = v2 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v2 = 0) & observational_period(v0) = v2) | ( ~ (v2 = 0) & environment(v1) = v2)))
% 197.88/159.85 | (51) ~ (all_0_0_0 = 0)
% 197.88/159.85 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = 0) | ~ (greater(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4))
% 197.88/159.85 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (slow_change(v0) = 0) | ~ (critical_point(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v3 = 0) & observational_period(v0) = v3) | ( ~ (v3 = 0) & environment(v1) = v3) | ( ~ (v3 = 0) & in_environment(v0, v1) = v3)))
% 197.88/159.85 | (54) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | greater_or_equal(v0, v1) = 0)
% 197.88/159.85 | (55) ! [v0] : ! [v1] : ( ~ (observational_period(v0) = 0) | ~ (in_environment(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & critical_point(v1) = v2 & greater(v3, v2) = 0 & in_environment(v1, v3) = 0) | ( ~ (v2 = 0) & slow_change(v0) = v2) | ( ~ (v2 = 0) & environment(v1) = v2)))
% 197.88/159.86 | (56) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (in_environment(v0, v1) = v2) | ? [v3] : ? [v4] : (( ~ (v4 = 0) & start_time(v0) = v3 & greater_or_equal(v1, v3) = v4) | ( ~ (v4 = 0) & greater_or_equal(v3, v1) = v4 & end_time(v0) = v3) | ( ~ (v3 = 0) & environment(v0) = v3)))
% 197.88/159.86 | (57) ? [v0] : ? [v1] : ? [v2] : in_environment(v1, v0) = v2
% 197.88/159.86 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (start_time(v2) = v1) | ~ (start_time(v2) = v0))
% 197.88/159.86 | (59) ! [v0] : ! [v1] : ( ~ (in_environment(v0, v1) = 0) | ? [v2] : ? [v3] : ((v2 = 0 & selection_favors(efficient_producers, first_movers, v1) = 0) | ( ~ (v3 = 0) & critical_point(v0) = v2 & greater(v1, v2) = v3) | ( ~ (v2 = 0) & environment(v0) = v2)))
% 197.88/159.86 |
% 197.88/159.86 | Instantiating formula (6) with all_0_0_0, all_0_1_1 and discharging atoms selection_favors(efficient_producers, first_movers, all_0_1_1) = all_0_0_0, yields:
% 197.88/159.86 | (60) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & v1 = 0 & ~ (v4 = 0) & environment(v0) = 0 & in_environment(all_0_1_1, v0) = 0 & end_time(v0) = v3 & selection_favors(efficient_producers, first_movers, v3) = v4) | ( ~ (v0 = 0) & observational_period(all_0_1_1) = v0))
% 197.88/159.86 |
% 197.88/159.86 +-Applying beta-rule and splitting (60), into two cases.
% 197.88/159.86 |-Branch one:
% 197.88/159.86 | (61) all_0_0_0 = 0
% 197.88/159.86 |
% 197.88/159.86 | Equations (61) can reduce 51 to:
% 197.88/159.86 | (62) $false
% 197.88/159.86 |
% 197.88/159.86 |-The branch is then unsatisfiable
% 197.88/159.86 |-Branch two:
% 197.88/159.86 | (51) ~ (all_0_0_0 = 0)
% 197.88/159.86 | (64) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & v1 = 0 & ~ (v4 = 0) & environment(v0) = 0 & in_environment(all_0_1_1, v0) = 0 & end_time(v0) = v3 & selection_favors(efficient_producers, first_movers, v3) = v4) | ( ~ (v0 = 0) & observational_period(all_0_1_1) = v0))
% 197.88/159.86 |
% 197.88/159.86 | Instantiating (64) with all_33_0_34, all_33_1_35, all_33_2_36, all_33_3_37, all_33_4_38 yields:
% 197.88/159.86 | (65) (all_33_2_36 = 0 & all_33_3_37 = 0 & ~ (all_33_0_34 = 0) & environment(all_33_4_38) = 0 & in_environment(all_0_1_1, all_33_4_38) = 0 & end_time(all_33_4_38) = all_33_1_35 & selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34) | ( ~ (all_33_4_38 = 0) & observational_period(all_0_1_1) = all_33_4_38)
% 197.88/159.86 |
% 197.88/159.86 +-Applying beta-rule and splitting (65), into two cases.
% 197.88/159.86 |-Branch one:
% 197.88/159.86 | (66) all_33_2_36 = 0 & all_33_3_37 = 0 & ~ (all_33_0_34 = 0) & environment(all_33_4_38) = 0 & in_environment(all_0_1_1, all_33_4_38) = 0 & end_time(all_33_4_38) = all_33_1_35 & selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34
% 197.88/159.86 |
% 197.88/159.86 | Applying alpha-rule on (66) yields:
% 197.88/159.86 | (67) end_time(all_33_4_38) = all_33_1_35
% 197.88/159.86 | (68) all_33_3_37 = 0
% 197.88/159.86 | (69) selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34
% 197.88/159.86 | (70) environment(all_33_4_38) = 0
% 197.88/159.86 | (71) all_33_2_36 = 0
% 197.88/159.86 | (72) ~ (all_33_0_34 = 0)
% 197.88/159.86 | (73) in_environment(all_0_1_1, all_33_4_38) = 0
% 197.88/159.86 |
% 197.88/159.86 | Instantiating formula (15) with all_33_4_38, all_0_1_1 and discharging atoms slow_change(all_0_1_1) = 0, environment(all_33_4_38) = 0, yields:
% 197.88/159.86 | (74) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & critical_point(all_33_4_38) = v0 & greater(v1, v0) = 0 & in_environment(all_33_4_38, v1) = 0) | ( ~ (v0 = 0) & observational_period(all_0_1_1) = v0) | ( ~ (v0 = 0) & in_environment(all_0_1_1, all_33_4_38) = v0))
% 197.88/159.86 |
% 197.88/159.86 | Instantiating formula (46) with all_33_4_38, all_0_1_1 and discharging atoms observational_period(all_0_1_1) = 0, environment(all_33_4_38) = 0, yields:
% 197.88/159.86 | (75) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & critical_point(all_33_4_38) = v0 & greater(v1, v0) = 0 & in_environment(all_33_4_38, v1) = 0) | ( ~ (v0 = 0) & slow_change(all_0_1_1) = v0) | ( ~ (v0 = 0) & in_environment(all_0_1_1, all_33_4_38) = v0))
% 197.88/159.87 |
% 197.88/159.87 | Instantiating formula (30) with all_33_4_38 and discharging atoms environment(all_33_4_38) = 0, yields:
% 197.88/159.87 | (76) ? [v0] : ? [v1] : (start_time(all_33_4_38) = v1 & greater_or_equal(v0, v1) = 0 & critical_point(all_33_4_38) = v0)
% 197.88/159.87 |
% 197.88/159.87 | Instantiating formula (50) with all_33_4_38, all_0_1_1 and discharging atoms slow_change(all_0_1_1) = 0, in_environment(all_0_1_1, all_33_4_38) = 0, yields:
% 197.88/159.87 | (77) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & critical_point(all_33_4_38) = v0 & greater(v1, v0) = 0 & in_environment(all_33_4_38, v1) = 0) | ( ~ (v0 = 0) & observational_period(all_0_1_1) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 197.88/159.87 |
% 197.88/159.87 | Instantiating formula (55) with all_33_4_38, all_0_1_1 and discharging atoms observational_period(all_0_1_1) = 0, in_environment(all_0_1_1, all_33_4_38) = 0, yields:
% 197.88/159.87 | (78) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & critical_point(all_33_4_38) = v0 & greater(v1, v0) = 0 & in_environment(all_33_4_38, v1) = 0) | ( ~ (v0 = 0) & slow_change(all_0_1_1) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 197.88/159.87 |
% 197.88/159.87 | Instantiating formula (6) with all_33_0_34, all_33_1_35 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, yields:
% 197.88/159.87 | (79) all_33_0_34 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & v1 = 0 & ~ (v4 = 0) & environment(v0) = 0 & in_environment(all_33_1_35, v0) = 0 & end_time(v0) = v3 & selection_favors(efficient_producers, first_movers, v3) = v4) | ( ~ (v0 = 0) & observational_period(all_33_1_35) = v0))
% 197.88/159.87 |
% 197.88/159.87 | Instantiating (78) with all_48_0_41, all_48_1_42, all_48_2_43, all_48_3_44 yields:
% 197.88/159.87 | (80) (all_48_0_41 = 0 & all_48_1_42 = 0 & critical_point(all_33_4_38) = all_48_3_44 & greater(all_48_2_43, all_48_3_44) = 0 & in_environment(all_33_4_38, all_48_2_43) = 0) | ( ~ (all_48_3_44 = 0) & slow_change(all_0_1_1) = all_48_3_44) | ( ~ (all_48_3_44 = 0) & environment(all_33_4_38) = all_48_3_44)
% 197.88/159.87 |
% 197.88/159.87 | Instantiating (77) with all_51_0_47, all_51_1_48, all_51_2_49, all_51_3_50 yields:
% 197.88/159.87 | (81) (all_51_0_47 = 0 & all_51_1_48 = 0 & critical_point(all_33_4_38) = all_51_3_50 & greater(all_51_2_49, all_51_3_50) = 0 & in_environment(all_33_4_38, all_51_2_49) = 0) | ( ~ (all_51_3_50 = 0) & observational_period(all_0_1_1) = all_51_3_50) | ( ~ (all_51_3_50 = 0) & environment(all_33_4_38) = all_51_3_50)
% 197.88/159.87 |
% 197.88/159.87 | Instantiating (76) with all_57_0_67, all_57_1_68 yields:
% 197.88/159.87 | (82) start_time(all_33_4_38) = all_57_0_67 & greater_or_equal(all_57_1_68, all_57_0_67) = 0 & critical_point(all_33_4_38) = all_57_1_68
% 197.88/159.87 |
% 197.88/159.87 | Applying alpha-rule on (82) yields:
% 197.88/159.87 | (83) start_time(all_33_4_38) = all_57_0_67
% 197.88/159.87 | (84) greater_or_equal(all_57_1_68, all_57_0_67) = 0
% 197.88/159.87 | (85) critical_point(all_33_4_38) = all_57_1_68
% 197.88/159.87 |
% 197.88/159.87 | Instantiating (75) with all_60_0_73, all_60_1_74, all_60_2_75, all_60_3_76 yields:
% 197.88/159.87 | (86) (all_60_0_73 = 0 & all_60_1_74 = 0 & critical_point(all_33_4_38) = all_60_3_76 & greater(all_60_2_75, all_60_3_76) = 0 & in_environment(all_33_4_38, all_60_2_75) = 0) | ( ~ (all_60_3_76 = 0) & slow_change(all_0_1_1) = all_60_3_76) | ( ~ (all_60_3_76 = 0) & in_environment(all_0_1_1, all_33_4_38) = all_60_3_76)
% 197.88/159.87 |
% 197.88/159.87 | Instantiating (74) with all_61_0_77, all_61_1_78, all_61_2_79, all_61_3_80 yields:
% 197.88/159.87 | (87) (all_61_0_77 = 0 & all_61_1_78 = 0 & critical_point(all_33_4_38) = all_61_3_80 & greater(all_61_2_79, all_61_3_80) = 0 & in_environment(all_33_4_38, all_61_2_79) = 0) | ( ~ (all_61_3_80 = 0) & observational_period(all_0_1_1) = all_61_3_80) | ( ~ (all_61_3_80 = 0) & in_environment(all_0_1_1, all_33_4_38) = all_61_3_80)
% 197.88/159.87 |
% 197.88/159.87 +-Applying beta-rule and splitting (80), into two cases.
% 197.88/159.87 |-Branch one:
% 197.88/159.87 | (88) (all_48_0_41 = 0 & all_48_1_42 = 0 & critical_point(all_33_4_38) = all_48_3_44 & greater(all_48_2_43, all_48_3_44) = 0 & in_environment(all_33_4_38, all_48_2_43) = 0) | ( ~ (all_48_3_44 = 0) & slow_change(all_0_1_1) = all_48_3_44)
% 197.88/159.87 |
% 197.88/159.87 +-Applying beta-rule and splitting (88), into two cases.
% 197.88/159.87 |-Branch one:
% 197.88/159.87 | (89) all_48_0_41 = 0 & all_48_1_42 = 0 & critical_point(all_33_4_38) = all_48_3_44 & greater(all_48_2_43, all_48_3_44) = 0 & in_environment(all_33_4_38, all_48_2_43) = 0
% 197.88/159.87 |
% 197.88/159.87 | Applying alpha-rule on (89) yields:
% 197.88/159.87 | (90) all_48_0_41 = 0
% 197.88/159.87 | (91) in_environment(all_33_4_38, all_48_2_43) = 0
% 197.88/159.87 | (92) all_48_1_42 = 0
% 197.88/159.87 | (93) greater(all_48_2_43, all_48_3_44) = 0
% 197.88/159.87 | (94) critical_point(all_33_4_38) = all_48_3_44
% 197.88/159.87 |
% 197.88/159.87 +-Applying beta-rule and splitting (81), into two cases.
% 197.88/159.87 |-Branch one:
% 197.88/159.87 | (95) (all_51_0_47 = 0 & all_51_1_48 = 0 & critical_point(all_33_4_38) = all_51_3_50 & greater(all_51_2_49, all_51_3_50) = 0 & in_environment(all_33_4_38, all_51_2_49) = 0) | ( ~ (all_51_3_50 = 0) & observational_period(all_0_1_1) = all_51_3_50)
% 197.88/159.88 |
% 197.88/159.88 +-Applying beta-rule and splitting (95), into two cases.
% 197.88/159.88 |-Branch one:
% 197.88/159.88 | (96) all_51_0_47 = 0 & all_51_1_48 = 0 & critical_point(all_33_4_38) = all_51_3_50 & greater(all_51_2_49, all_51_3_50) = 0 & in_environment(all_33_4_38, all_51_2_49) = 0
% 197.88/159.88 |
% 197.88/159.88 | Applying alpha-rule on (96) yields:
% 197.88/159.88 | (97) in_environment(all_33_4_38, all_51_2_49) = 0
% 197.88/159.88 | (98) all_51_0_47 = 0
% 197.88/159.88 | (99) greater(all_51_2_49, all_51_3_50) = 0
% 197.88/159.88 | (100) critical_point(all_33_4_38) = all_51_3_50
% 197.88/159.88 | (101) all_51_1_48 = 0
% 197.88/159.88 |
% 197.88/159.88 +-Applying beta-rule and splitting (86), into two cases.
% 197.88/159.88 |-Branch one:
% 197.88/159.88 | (102) (all_60_0_73 = 0 & all_60_1_74 = 0 & critical_point(all_33_4_38) = all_60_3_76 & greater(all_60_2_75, all_60_3_76) = 0 & in_environment(all_33_4_38, all_60_2_75) = 0) | ( ~ (all_60_3_76 = 0) & slow_change(all_0_1_1) = all_60_3_76)
% 197.88/159.88 |
% 197.88/159.88 +-Applying beta-rule and splitting (102), into two cases.
% 197.88/159.88 |-Branch one:
% 197.88/159.88 | (103) all_60_0_73 = 0 & all_60_1_74 = 0 & critical_point(all_33_4_38) = all_60_3_76 & greater(all_60_2_75, all_60_3_76) = 0 & in_environment(all_33_4_38, all_60_2_75) = 0
% 197.88/159.88 |
% 197.88/159.88 | Applying alpha-rule on (103) yields:
% 197.88/159.88 | (104) in_environment(all_33_4_38, all_60_2_75) = 0
% 197.88/159.88 | (105) all_60_0_73 = 0
% 197.88/159.88 | (106) critical_point(all_33_4_38) = all_60_3_76
% 197.88/159.88 | (107) greater(all_60_2_75, all_60_3_76) = 0
% 197.88/159.88 | (108) all_60_1_74 = 0
% 197.88/159.88 |
% 197.88/159.88 +-Applying beta-rule and splitting (79), into two cases.
% 197.88/159.88 |-Branch one:
% 197.88/159.88 | (109) all_33_0_34 = 0
% 197.88/159.88 |
% 197.88/159.88 | Equations (109) can reduce 72 to:
% 197.88/159.88 | (62) $false
% 197.88/159.88 |
% 197.88/159.88 |-The branch is then unsatisfiable
% 197.88/159.88 |-Branch two:
% 197.88/159.88 | (72) ~ (all_33_0_34 = 0)
% 197.88/159.88 | (112) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & v1 = 0 & ~ (v4 = 0) & environment(v0) = 0 & in_environment(all_33_1_35, v0) = 0 & end_time(v0) = v3 & selection_favors(efficient_producers, first_movers, v3) = v4) | ( ~ (v0 = 0) & observational_period(all_33_1_35) = v0))
% 197.88/159.88 |
% 197.88/159.88 +-Applying beta-rule and splitting (87), into two cases.
% 197.88/159.88 |-Branch one:
% 197.88/159.88 | (113) (all_61_0_77 = 0 & all_61_1_78 = 0 & critical_point(all_33_4_38) = all_61_3_80 & greater(all_61_2_79, all_61_3_80) = 0 & in_environment(all_33_4_38, all_61_2_79) = 0) | ( ~ (all_61_3_80 = 0) & observational_period(all_0_1_1) = all_61_3_80)
% 197.88/159.88 |
% 197.88/159.88 +-Applying beta-rule and splitting (113), into two cases.
% 197.88/159.88 |-Branch one:
% 197.88/159.88 | (114) all_61_0_77 = 0 & all_61_1_78 = 0 & critical_point(all_33_4_38) = all_61_3_80 & greater(all_61_2_79, all_61_3_80) = 0 & in_environment(all_33_4_38, all_61_2_79) = 0
% 197.88/159.88 |
% 197.88/159.88 | Applying alpha-rule on (114) yields:
% 197.88/159.88 | (115) all_61_0_77 = 0
% 197.88/159.88 | (116) in_environment(all_33_4_38, all_61_2_79) = 0
% 197.88/159.88 | (117) critical_point(all_33_4_38) = all_61_3_80
% 197.88/159.88 | (118) greater(all_61_2_79, all_61_3_80) = 0
% 197.88/159.88 | (119) all_61_1_78 = 0
% 197.88/159.88 |
% 197.88/159.88 | Instantiating formula (22) with all_33_4_38, all_57_1_68, all_61_3_80 and discharging atoms critical_point(all_33_4_38) = all_61_3_80, critical_point(all_33_4_38) = all_57_1_68, yields:
% 197.88/159.88 | (120) all_61_3_80 = all_57_1_68
% 197.88/159.88 |
% 197.88/159.88 | Instantiating formula (22) with all_33_4_38, all_57_1_68, all_60_3_76 and discharging atoms critical_point(all_33_4_38) = all_60_3_76, critical_point(all_33_4_38) = all_57_1_68, yields:
% 197.88/159.88 | (121) all_60_3_76 = all_57_1_68
% 197.88/159.88 |
% 197.88/159.88 | Instantiating formula (22) with all_33_4_38, all_51_3_50, all_60_3_76 and discharging atoms critical_point(all_33_4_38) = all_60_3_76, critical_point(all_33_4_38) = all_51_3_50, yields:
% 197.88/159.88 | (122) all_60_3_76 = all_51_3_50
% 197.88/159.88 |
% 197.88/159.88 | Instantiating formula (22) with all_33_4_38, all_48_3_44, all_61_3_80 and discharging atoms critical_point(all_33_4_38) = all_61_3_80, critical_point(all_33_4_38) = all_48_3_44, yields:
% 197.88/159.88 | (123) all_61_3_80 = all_48_3_44
% 197.88/159.88 |
% 197.88/159.88 | Combining equations (120,123) yields a new equation:
% 197.88/159.88 | (124) all_57_1_68 = all_48_3_44
% 197.88/159.88 |
% 197.88/159.88 | Simplifying 124 yields:
% 197.88/159.88 | (125) all_57_1_68 = all_48_3_44
% 197.88/159.88 |
% 197.88/159.88 | Combining equations (121,122) yields a new equation:
% 197.88/159.88 | (126) all_57_1_68 = all_51_3_50
% 197.88/159.88 |
% 197.88/159.88 | Simplifying 126 yields:
% 197.88/159.88 | (127) all_57_1_68 = all_51_3_50
% 197.88/159.88 |
% 197.88/159.88 | Combining equations (125,127) yields a new equation:
% 197.88/159.88 | (128) all_51_3_50 = all_48_3_44
% 197.88/159.88 |
% 197.88/159.88 | Combining equations (128,127) yields a new equation:
% 197.88/159.88 | (125) all_57_1_68 = all_48_3_44
% 197.88/159.89 |
% 197.88/159.89 | Combining equations (128,122) yields a new equation:
% 197.88/159.89 | (130) all_60_3_76 = all_48_3_44
% 197.88/159.89 |
% 197.88/159.89 | From (125) and (84) follows:
% 197.88/159.89 | (131) greater_or_equal(all_48_3_44, all_57_0_67) = 0
% 197.88/159.89 |
% 197.88/159.89 | From (128) and (100) follows:
% 197.88/159.89 | (94) critical_point(all_33_4_38) = all_48_3_44
% 197.88/159.89 |
% 197.88/159.89 | From (123) and (118) follows:
% 197.88/159.89 | (133) greater(all_61_2_79, all_48_3_44) = 0
% 197.88/159.89 |
% 197.88/159.89 | From (130) and (107) follows:
% 197.88/159.89 | (134) greater(all_60_2_75, all_48_3_44) = 0
% 197.88/159.89 |
% 197.88/159.89 | From (128) and (99) follows:
% 197.88/159.89 | (135) greater(all_51_2_49, all_48_3_44) = 0
% 197.88/159.89 |
% 197.88/159.89 | Instantiating formula (10) with all_57_0_67, all_48_3_44, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_48_3_44, all_57_0_67) = 0, yields:
% 197.88/159.89 | (136) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_48_3_44) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_48_3_44) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 197.88/159.89 |
% 197.88/159.89 | Instantiating formula (24) with all_57_0_67, all_48_3_44 and discharging atoms greater_or_equal(all_48_3_44, all_57_0_67) = 0, yields:
% 197.88/159.89 | (137) all_57_0_67 = all_48_3_44 | greater(all_48_3_44, all_57_0_67) = 0
% 197.88/159.89 |
% 197.88/159.89 | Instantiating formula (53) with all_48_3_44, all_33_4_38, all_0_1_1 and discharging atoms slow_change(all_0_1_1) = 0, critical_point(all_33_4_38) = all_48_3_44, yields:
% 197.88/159.89 | (138) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & v1 = 0 & greater(v0, all_48_3_44) = 0 & in_environment(all_33_4_38, v0) = 0) | ( ~ (v0 = 0) & observational_period(all_0_1_1) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_0_1_1, all_33_4_38) = v0))
% 197.88/159.89 |
% 197.88/159.89 | Instantiating formula (11) with all_48_3_44, all_33_4_38, all_0_1_1 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, observational_period(all_0_1_1) = 0, yields:
% 197.88/159.89 | (139) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & v1 = 0 & greater(v0, all_48_3_44) = 0 & in_environment(all_33_4_38, v0) = 0) | ( ~ (v0 = 0) & slow_change(all_0_1_1) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_0_1_1, all_33_4_38) = v0))
% 197.88/159.89 |
% 197.88/159.89 | Instantiating formula (29) with all_48_3_44, all_48_2_43, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_48_2_43, all_48_3_44) = 0, yields:
% 197.88/159.89 | (140) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_48_2_43) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_48_2_43) = v0))
% 197.88/159.89 |
% 197.88/159.89 | Instantiating formula (36) with all_61_2_79, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_61_2_79) = 0, yields:
% 197.88/159.89 | (141) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_61_2_79) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 197.88/159.89 |
% 197.88/159.89 | Instantiating formula (59) with all_61_2_79, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_61_2_79) = 0, yields:
% 197.88/159.89 | (142) ? [v0] : ? [v1] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_61_2_79) = 0) | ( ~ (v1 = 0) & critical_point(all_33_4_38) = v0 & greater(all_61_2_79, v0) = v1) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 197.88/159.89 |
% 197.88/159.89 | Instantiating formula (36) with all_60_2_75, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_60_2_75) = 0, yields:
% 197.88/159.89 | (143) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_60_2_75) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 197.88/159.89 |
% 197.88/159.89 | Instantiating formula (59) with all_60_2_75, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_60_2_75) = 0, yields:
% 197.88/159.89 | (144) ? [v0] : ? [v1] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_60_2_75) = 0) | ( ~ (v1 = 0) & critical_point(all_33_4_38) = v0 & greater(all_60_2_75, v0) = v1) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 197.88/159.89 |
% 197.88/159.89 | Instantiating formula (36) with all_51_2_49, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_51_2_49) = 0, yields:
% 198.34/159.89 | (145) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_51_2_49) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.90 |
% 198.34/159.90 | Instantiating formula (59) with all_51_2_49, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_51_2_49) = 0, yields:
% 198.34/159.90 | (146) ? [v0] : ? [v1] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_51_2_49) = 0) | ( ~ (v1 = 0) & critical_point(all_33_4_38) = v0 & greater(all_51_2_49, v0) = v1) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.90 |
% 198.34/159.90 | Instantiating formula (36) with all_48_2_43, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_48_2_43) = 0, yields:
% 198.34/159.90 | (147) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_48_2_43) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (139) with all_114_0_96, all_114_1_97, all_114_2_98 yields:
% 198.34/159.90 | (148) (all_114_0_96 = 0 & all_114_1_97 = 0 & greater(all_114_2_98, all_48_3_44) = 0 & in_environment(all_33_4_38, all_114_2_98) = 0) | ( ~ (all_114_2_98 = 0) & slow_change(all_0_1_1) = all_114_2_98) | ( ~ (all_114_2_98 = 0) & environment(all_33_4_38) = all_114_2_98) | ( ~ (all_114_2_98 = 0) & in_environment(all_0_1_1, all_33_4_38) = all_114_2_98)
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (147) with all_120_0_110, all_120_1_111 yields:
% 198.34/159.90 | (149) (all_120_0_110 = 0 & greater_or_equal(all_120_1_111, all_48_2_43) = 0 & end_time(all_33_4_38) = all_120_1_111) | ( ~ (all_120_1_111 = 0) & environment(all_33_4_38) = all_120_1_111)
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (146) with all_121_0_112, all_121_1_113 yields:
% 198.34/159.90 | (150) (all_121_1_113 = 0 & selection_favors(efficient_producers, first_movers, all_51_2_49) = 0) | ( ~ (all_121_0_112 = 0) & critical_point(all_33_4_38) = all_121_1_113 & greater(all_51_2_49, all_121_1_113) = all_121_0_112) | ( ~ (all_121_1_113 = 0) & environment(all_33_4_38) = all_121_1_113)
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (145) with all_122_0_114, all_122_1_115 yields:
% 198.34/159.90 | (151) (all_122_0_114 = 0 & greater_or_equal(all_122_1_115, all_51_2_49) = 0 & end_time(all_33_4_38) = all_122_1_115) | ( ~ (all_122_1_115 = 0) & environment(all_33_4_38) = all_122_1_115)
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (136) with all_129_0_127, all_129_1_128 yields:
% 198.34/159.90 | (152) (all_129_1_128 = 0 & in_environment(all_33_4_38, all_48_3_44) = 0) | ( ~ (all_129_0_127 = 0) & greater_or_equal(all_129_1_128, all_48_3_44) = all_129_0_127 & end_time(all_33_4_38) = all_129_1_128) | ( ~ (all_129_1_128 = 0) & environment(all_33_4_38) = all_129_1_128)
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (144) with all_131_0_131, all_131_1_132 yields:
% 198.34/159.90 | (153) (all_131_1_132 = 0 & selection_favors(efficient_producers, first_movers, all_60_2_75) = 0) | ( ~ (all_131_0_131 = 0) & critical_point(all_33_4_38) = all_131_1_132 & greater(all_60_2_75, all_131_1_132) = all_131_0_131) | ( ~ (all_131_1_132 = 0) & environment(all_33_4_38) = all_131_1_132)
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (143) with all_132_0_133, all_132_1_134 yields:
% 198.34/159.90 | (154) (all_132_0_133 = 0 & greater_or_equal(all_132_1_134, all_60_2_75) = 0 & end_time(all_33_4_38) = all_132_1_134) | ( ~ (all_132_1_134 = 0) & environment(all_33_4_38) = all_132_1_134)
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (142) with all_133_0_135, all_133_1_136 yields:
% 198.34/159.90 | (155) (all_133_1_136 = 0 & selection_favors(efficient_producers, first_movers, all_61_2_79) = 0) | ( ~ (all_133_0_135 = 0) & critical_point(all_33_4_38) = all_133_1_136 & greater(all_61_2_79, all_133_1_136) = all_133_0_135) | ( ~ (all_133_1_136 = 0) & environment(all_33_4_38) = all_133_1_136)
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (141) with all_134_0_137, all_134_1_138 yields:
% 198.34/159.90 | (156) (all_134_0_137 = 0 & greater_or_equal(all_134_1_138, all_61_2_79) = 0 & end_time(all_33_4_38) = all_134_1_138) | ( ~ (all_134_1_138 = 0) & environment(all_33_4_38) = all_134_1_138)
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (138) with all_135_0_139, all_135_1_140, all_135_2_141 yields:
% 198.34/159.90 | (157) (all_135_0_139 = 0 & all_135_1_140 = 0 & greater(all_135_2_141, all_48_3_44) = 0 & in_environment(all_33_4_38, all_135_2_141) = 0) | ( ~ (all_135_2_141 = 0) & observational_period(all_0_1_1) = all_135_2_141) | ( ~ (all_135_2_141 = 0) & environment(all_33_4_38) = all_135_2_141) | ( ~ (all_135_2_141 = 0) & in_environment(all_0_1_1, all_33_4_38) = all_135_2_141)
% 198.34/159.90 |
% 198.34/159.90 | Instantiating (140) with all_136_0_142 yields:
% 198.34/159.90 | (158) (all_136_0_142 = 0 & selection_favors(efficient_producers, first_movers, all_48_2_43) = 0) | ( ~ (all_136_0_142 = 0) & environment(all_33_4_38) = all_136_0_142) | ( ~ (all_136_0_142 = 0) & in_environment(all_33_4_38, all_48_2_43) = all_136_0_142)
% 198.34/159.90 |
% 198.34/159.90 +-Applying beta-rule and splitting (156), into two cases.
% 198.34/159.90 |-Branch one:
% 198.34/159.90 | (159) all_134_0_137 = 0 & greater_or_equal(all_134_1_138, all_61_2_79) = 0 & end_time(all_33_4_38) = all_134_1_138
% 198.34/159.91 |
% 198.34/159.91 | Applying alpha-rule on (159) yields:
% 198.34/159.91 | (160) all_134_0_137 = 0
% 198.34/159.91 | (161) greater_or_equal(all_134_1_138, all_61_2_79) = 0
% 198.34/159.91 | (162) end_time(all_33_4_38) = all_134_1_138
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (158), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (163) (all_136_0_142 = 0 & selection_favors(efficient_producers, first_movers, all_48_2_43) = 0) | ( ~ (all_136_0_142 = 0) & environment(all_33_4_38) = all_136_0_142)
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (163), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (164) all_136_0_142 = 0 & selection_favors(efficient_producers, first_movers, all_48_2_43) = 0
% 198.34/159.91 |
% 198.34/159.91 | Applying alpha-rule on (164) yields:
% 198.34/159.91 | (165) all_136_0_142 = 0
% 198.34/159.91 | (166) selection_favors(efficient_producers, first_movers, all_48_2_43) = 0
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (157), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (167) (all_135_0_139 = 0 & all_135_1_140 = 0 & greater(all_135_2_141, all_48_3_44) = 0 & in_environment(all_33_4_38, all_135_2_141) = 0) | ( ~ (all_135_2_141 = 0) & observational_period(all_0_1_1) = all_135_2_141) | ( ~ (all_135_2_141 = 0) & environment(all_33_4_38) = all_135_2_141)
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (167), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (168) (all_135_0_139 = 0 & all_135_1_140 = 0 & greater(all_135_2_141, all_48_3_44) = 0 & in_environment(all_33_4_38, all_135_2_141) = 0) | ( ~ (all_135_2_141 = 0) & observational_period(all_0_1_1) = all_135_2_141)
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (168), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (169) all_135_0_139 = 0 & all_135_1_140 = 0 & greater(all_135_2_141, all_48_3_44) = 0 & in_environment(all_33_4_38, all_135_2_141) = 0
% 198.34/159.91 |
% 198.34/159.91 | Applying alpha-rule on (169) yields:
% 198.34/159.91 | (170) all_135_0_139 = 0
% 198.34/159.91 | (171) all_135_1_140 = 0
% 198.34/159.91 | (172) greater(all_135_2_141, all_48_3_44) = 0
% 198.34/159.91 | (173) in_environment(all_33_4_38, all_135_2_141) = 0
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (154), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (174) all_132_0_133 = 0 & greater_or_equal(all_132_1_134, all_60_2_75) = 0 & end_time(all_33_4_38) = all_132_1_134
% 198.34/159.91 |
% 198.34/159.91 | Applying alpha-rule on (174) yields:
% 198.34/159.91 | (175) all_132_0_133 = 0
% 198.34/159.91 | (176) greater_or_equal(all_132_1_134, all_60_2_75) = 0
% 198.34/159.91 | (177) end_time(all_33_4_38) = all_132_1_134
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (151), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (178) all_122_0_114 = 0 & greater_or_equal(all_122_1_115, all_51_2_49) = 0 & end_time(all_33_4_38) = all_122_1_115
% 198.34/159.91 |
% 198.34/159.91 | Applying alpha-rule on (178) yields:
% 198.34/159.91 | (179) all_122_0_114 = 0
% 198.34/159.91 | (180) greater_or_equal(all_122_1_115, all_51_2_49) = 0
% 198.34/159.91 | (181) end_time(all_33_4_38) = all_122_1_115
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (149), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (182) all_120_0_110 = 0 & greater_or_equal(all_120_1_111, all_48_2_43) = 0 & end_time(all_33_4_38) = all_120_1_111
% 198.34/159.91 |
% 198.34/159.91 | Applying alpha-rule on (182) yields:
% 198.34/159.91 | (183) all_120_0_110 = 0
% 198.34/159.91 | (184) greater_or_equal(all_120_1_111, all_48_2_43) = 0
% 198.34/159.91 | (185) end_time(all_33_4_38) = all_120_1_111
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (148), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (186) (all_114_0_96 = 0 & all_114_1_97 = 0 & greater(all_114_2_98, all_48_3_44) = 0 & in_environment(all_33_4_38, all_114_2_98) = 0) | ( ~ (all_114_2_98 = 0) & slow_change(all_0_1_1) = all_114_2_98) | ( ~ (all_114_2_98 = 0) & environment(all_33_4_38) = all_114_2_98)
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (186), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (187) (all_114_0_96 = 0 & all_114_1_97 = 0 & greater(all_114_2_98, all_48_3_44) = 0 & in_environment(all_33_4_38, all_114_2_98) = 0) | ( ~ (all_114_2_98 = 0) & slow_change(all_0_1_1) = all_114_2_98)
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (187), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.91 | (188) all_114_0_96 = 0 & all_114_1_97 = 0 & greater(all_114_2_98, all_48_3_44) = 0 & in_environment(all_33_4_38, all_114_2_98) = 0
% 198.34/159.91 |
% 198.34/159.91 | Applying alpha-rule on (188) yields:
% 198.34/159.91 | (189) all_114_0_96 = 0
% 198.34/159.91 | (190) all_114_1_97 = 0
% 198.34/159.91 | (191) greater(all_114_2_98, all_48_3_44) = 0
% 198.34/159.91 | (192) in_environment(all_33_4_38, all_114_2_98) = 0
% 198.34/159.91 |
% 198.34/159.91 +-Applying beta-rule and splitting (150), into two cases.
% 198.34/159.91 |-Branch one:
% 198.34/159.92 | (193) (all_121_1_113 = 0 & selection_favors(efficient_producers, first_movers, all_51_2_49) = 0) | ( ~ (all_121_0_112 = 0) & critical_point(all_33_4_38) = all_121_1_113 & greater(all_51_2_49, all_121_1_113) = all_121_0_112)
% 198.34/159.92 |
% 198.34/159.92 +-Applying beta-rule and splitting (193), into two cases.
% 198.34/159.92 |-Branch one:
% 198.34/159.92 | (194) all_121_1_113 = 0 & selection_favors(efficient_producers, first_movers, all_51_2_49) = 0
% 198.34/159.92 |
% 198.34/159.92 | Applying alpha-rule on (194) yields:
% 198.34/159.92 | (195) all_121_1_113 = 0
% 198.34/159.92 | (196) selection_favors(efficient_producers, first_movers, all_51_2_49) = 0
% 198.34/159.92 |
% 198.34/159.92 +-Applying beta-rule and splitting (155), into two cases.
% 198.34/159.92 |-Branch one:
% 198.34/159.92 | (197) (all_133_1_136 = 0 & selection_favors(efficient_producers, first_movers, all_61_2_79) = 0) | ( ~ (all_133_0_135 = 0) & critical_point(all_33_4_38) = all_133_1_136 & greater(all_61_2_79, all_133_1_136) = all_133_0_135)
% 198.34/159.92 |
% 198.34/159.92 +-Applying beta-rule and splitting (197), into two cases.
% 198.34/159.92 |-Branch one:
% 198.34/159.92 | (198) all_133_1_136 = 0 & selection_favors(efficient_producers, first_movers, all_61_2_79) = 0
% 198.34/159.92 |
% 198.34/159.92 | Applying alpha-rule on (198) yields:
% 198.34/159.92 | (199) all_133_1_136 = 0
% 198.34/159.92 | (200) selection_favors(efficient_producers, first_movers, all_61_2_79) = 0
% 198.34/159.92 |
% 198.34/159.92 +-Applying beta-rule and splitting (153), into two cases.
% 198.34/159.92 |-Branch one:
% 198.34/159.92 | (201) (all_131_1_132 = 0 & selection_favors(efficient_producers, first_movers, all_60_2_75) = 0) | ( ~ (all_131_0_131 = 0) & critical_point(all_33_4_38) = all_131_1_132 & greater(all_60_2_75, all_131_1_132) = all_131_0_131)
% 198.34/159.92 |
% 198.34/159.92 +-Applying beta-rule and splitting (201), into two cases.
% 198.34/159.92 |-Branch one:
% 198.34/159.92 | (202) all_131_1_132 = 0 & selection_favors(efficient_producers, first_movers, all_60_2_75) = 0
% 198.34/159.92 |
% 198.34/159.92 | Applying alpha-rule on (202) yields:
% 198.34/159.92 | (203) all_131_1_132 = 0
% 198.34/159.92 | (204) selection_favors(efficient_producers, first_movers, all_60_2_75) = 0
% 198.34/159.92 |
% 198.34/159.92 | Instantiating formula (43) with all_33_4_38, all_132_1_134, all_134_1_138 and discharging atoms end_time(all_33_4_38) = all_134_1_138, end_time(all_33_4_38) = all_132_1_134, yields:
% 198.34/159.92 | (205) all_134_1_138 = all_132_1_134
% 198.34/159.92 |
% 198.34/159.92 | Instantiating formula (43) with all_33_4_38, all_122_1_115, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_122_1_115, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.92 | (206) all_122_1_115 = all_33_1_35
% 198.34/159.92 |
% 198.34/159.92 | Instantiating formula (43) with all_33_4_38, all_122_1_115, all_132_1_134 and discharging atoms end_time(all_33_4_38) = all_132_1_134, end_time(all_33_4_38) = all_122_1_115, yields:
% 198.34/159.92 | (207) all_132_1_134 = all_122_1_115
% 198.34/159.92 |
% 198.34/159.92 | Instantiating formula (43) with all_33_4_38, all_120_1_111, all_134_1_138 and discharging atoms end_time(all_33_4_38) = all_134_1_138, end_time(all_33_4_38) = all_120_1_111, yields:
% 198.34/159.92 | (208) all_134_1_138 = all_120_1_111
% 198.34/159.92 |
% 198.34/159.92 | Combining equations (205,208) yields a new equation:
% 198.34/159.92 | (209) all_132_1_134 = all_120_1_111
% 198.34/159.92 |
% 198.34/159.92 | Simplifying 209 yields:
% 198.34/159.92 | (210) all_132_1_134 = all_120_1_111
% 198.34/159.92 |
% 198.34/159.92 | Combining equations (207,210) yields a new equation:
% 198.34/159.92 | (211) all_122_1_115 = all_120_1_111
% 198.34/159.92 |
% 198.34/159.92 | Simplifying 211 yields:
% 198.34/159.92 | (212) all_122_1_115 = all_120_1_111
% 198.34/159.92 |
% 198.34/159.92 | Combining equations (206,212) yields a new equation:
% 198.34/159.92 | (213) all_120_1_111 = all_33_1_35
% 198.34/159.92 |
% 198.34/159.92 | Combining equations (213,212) yields a new equation:
% 198.34/159.92 | (206) all_122_1_115 = all_33_1_35
% 198.34/159.92 |
% 198.34/159.92 | Combining equations (213,210) yields a new equation:
% 198.34/159.92 | (215) all_132_1_134 = all_33_1_35
% 198.34/159.92 |
% 198.34/159.92 | Combining equations (213,208) yields a new equation:
% 198.34/159.92 | (216) all_134_1_138 = all_33_1_35
% 198.34/159.92 |
% 198.34/159.92 | From (216) and (161) follows:
% 198.34/159.92 | (217) greater_or_equal(all_33_1_35, all_61_2_79) = 0
% 198.34/159.92 |
% 198.34/159.92 | From (215) and (176) follows:
% 198.34/159.92 | (218) greater_or_equal(all_33_1_35, all_60_2_75) = 0
% 198.34/159.92 |
% 198.34/159.92 | From (206) and (180) follows:
% 198.34/159.92 | (219) greater_or_equal(all_33_1_35, all_51_2_49) = 0
% 198.34/159.92 |
% 198.34/159.92 | From (213) and (184) follows:
% 198.34/159.92 | (220) greater_or_equal(all_33_1_35, all_48_2_43) = 0
% 198.34/159.92 |
% 198.34/159.92 | From (213) and (185) follows:
% 198.34/159.92 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.92 |
% 198.34/159.92 | Instantiating formula (24) with all_61_2_79, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_61_2_79) = 0, yields:
% 198.34/159.92 | (222) all_61_2_79 = all_33_1_35 | greater(all_33_1_35, all_61_2_79) = 0
% 198.34/159.92 |
% 198.34/159.92 | Instantiating formula (24) with all_60_2_75, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_60_2_75) = 0, yields:
% 198.34/159.92 | (223) all_60_2_75 = all_33_1_35 | greater(all_33_1_35, all_60_2_75) = 0
% 198.34/159.92 |
% 198.34/159.92 | Instantiating formula (24) with all_51_2_49, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_51_2_49) = 0, yields:
% 198.34/159.92 | (224) all_51_2_49 = all_33_1_35 | greater(all_33_1_35, all_51_2_49) = 0
% 198.34/159.92 |
% 198.34/159.92 | Instantiating formula (24) with all_48_2_43, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_48_2_43) = 0, yields:
% 198.34/159.92 | (225) all_48_2_43 = all_33_1_35 | greater(all_33_1_35, all_48_2_43) = 0
% 198.34/159.92 |
% 198.34/159.92 | Instantiating formula (36) with all_135_2_141, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_135_2_141) = 0, yields:
% 198.34/159.92 | (226) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_135_2_141) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.92 |
% 198.34/159.92 | Instantiating formula (36) with all_114_2_98, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_114_2_98) = 0, yields:
% 198.34/159.92 | (227) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_114_2_98) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.92 |
% 198.34/159.92 | Instantiating (227) with all_271_0_158, all_271_1_159 yields:
% 198.34/159.92 | (228) (all_271_0_158 = 0 & greater_or_equal(all_271_1_159, all_114_2_98) = 0 & end_time(all_33_4_38) = all_271_1_159) | ( ~ (all_271_1_159 = 0) & environment(all_33_4_38) = all_271_1_159)
% 198.34/159.93 |
% 198.34/159.93 | Instantiating (226) with all_276_0_167, all_276_1_168 yields:
% 198.34/159.93 | (229) (all_276_0_167 = 0 & greater_or_equal(all_276_1_168, all_135_2_141) = 0 & end_time(all_33_4_38) = all_276_1_168) | ( ~ (all_276_1_168 = 0) & environment(all_33_4_38) = all_276_1_168)
% 198.34/159.93 |
% 198.34/159.93 +-Applying beta-rule and splitting (229), into two cases.
% 198.34/159.93 |-Branch one:
% 198.34/159.93 | (230) all_276_0_167 = 0 & greater_or_equal(all_276_1_168, all_135_2_141) = 0 & end_time(all_33_4_38) = all_276_1_168
% 198.34/159.93 |
% 198.34/159.93 | Applying alpha-rule on (230) yields:
% 198.34/159.93 | (231) all_276_0_167 = 0
% 198.34/159.93 | (232) greater_or_equal(all_276_1_168, all_135_2_141) = 0
% 198.34/159.93 | (233) end_time(all_33_4_38) = all_276_1_168
% 198.34/159.93 |
% 198.34/159.93 +-Applying beta-rule and splitting (228), into two cases.
% 198.34/159.93 |-Branch one:
% 198.34/159.93 | (234) all_271_0_158 = 0 & greater_or_equal(all_271_1_159, all_114_2_98) = 0 & end_time(all_33_4_38) = all_271_1_159
% 198.34/159.93 |
% 198.34/159.93 | Applying alpha-rule on (234) yields:
% 198.34/159.93 | (235) all_271_0_158 = 0
% 198.34/159.93 | (236) greater_or_equal(all_271_1_159, all_114_2_98) = 0
% 198.34/159.93 | (237) end_time(all_33_4_38) = all_271_1_159
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (43) with all_33_4_38, all_276_1_168, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_276_1_168, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.93 | (238) all_276_1_168 = all_33_1_35
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (43) with all_33_4_38, all_271_1_159, all_276_1_168 and discharging atoms end_time(all_33_4_38) = all_276_1_168, end_time(all_33_4_38) = all_271_1_159, yields:
% 198.34/159.93 | (239) all_276_1_168 = all_271_1_159
% 198.34/159.93 |
% 198.34/159.93 | Combining equations (239,238) yields a new equation:
% 198.34/159.93 | (240) all_271_1_159 = all_33_1_35
% 198.34/159.93 |
% 198.34/159.93 | Simplifying 240 yields:
% 198.34/159.93 | (241) all_271_1_159 = all_33_1_35
% 198.34/159.93 |
% 198.34/159.93 | From (241) and (237) follows:
% 198.34/159.93 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.93 |
% 198.34/159.93 +-Applying beta-rule and splitting (137), into two cases.
% 198.34/159.93 |-Branch one:
% 198.34/159.93 | (243) greater(all_48_3_44, all_57_0_67) = 0
% 198.34/159.93 |
% 198.34/159.93 +-Applying beta-rule and splitting (152), into two cases.
% 198.34/159.93 |-Branch one:
% 198.34/159.93 | (244) (all_129_1_128 = 0 & in_environment(all_33_4_38, all_48_3_44) = 0) | ( ~ (all_129_0_127 = 0) & greater_or_equal(all_129_1_128, all_48_3_44) = all_129_0_127 & end_time(all_33_4_38) = all_129_1_128)
% 198.34/159.93 |
% 198.34/159.93 +-Applying beta-rule and splitting (244), into two cases.
% 198.34/159.93 |-Branch one:
% 198.34/159.93 | (245) all_129_1_128 = 0 & in_environment(all_33_4_38, all_48_3_44) = 0
% 198.34/159.93 |
% 198.34/159.93 | Applying alpha-rule on (245) yields:
% 198.34/159.93 | (246) all_129_1_128 = 0
% 198.34/159.93 | (247) in_environment(all_33_4_38, all_48_3_44) = 0
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (18) with all_57_0_67, all_48_3_44, all_135_2_141 and discharging atoms greater(all_135_2_141, all_48_3_44) = 0, greater(all_48_3_44, all_57_0_67) = 0, yields:
% 198.34/159.93 | (248) greater(all_135_2_141, all_57_0_67) = 0
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (18) with all_57_0_67, all_48_3_44, all_114_2_98 and discharging atoms greater(all_114_2_98, all_48_3_44) = 0, greater(all_48_3_44, all_57_0_67) = 0, yields:
% 198.34/159.93 | (249) greater(all_114_2_98, all_57_0_67) = 0
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (18) with all_57_0_67, all_48_3_44, all_61_2_79 and discharging atoms greater(all_61_2_79, all_48_3_44) = 0, greater(all_48_3_44, all_57_0_67) = 0, yields:
% 198.34/159.93 | (250) greater(all_61_2_79, all_57_0_67) = 0
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (18) with all_57_0_67, all_48_3_44, all_60_2_75 and discharging atoms greater(all_60_2_75, all_48_3_44) = 0, greater(all_48_3_44, all_57_0_67) = 0, yields:
% 198.34/159.93 | (251) greater(all_60_2_75, all_57_0_67) = 0
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (18) with all_57_0_67, all_48_3_44, all_51_2_49 and discharging atoms greater(all_51_2_49, all_48_3_44) = 0, greater(all_48_3_44, all_57_0_67) = 0, yields:
% 198.34/159.93 | (252) greater(all_51_2_49, all_57_0_67) = 0
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (18) with all_57_0_67, all_48_3_44, all_48_2_43 and discharging atoms greater(all_48_2_43, all_48_3_44) = 0, greater(all_48_3_44, all_57_0_67) = 0, yields:
% 198.34/159.93 | (253) greater(all_48_2_43, all_57_0_67) = 0
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (44) with all_57_0_67, all_48_3_44, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater(all_48_3_44, all_57_0_67) = 0, yields:
% 198.34/159.93 | (254) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_48_3_44) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_48_3_44, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (36) with all_48_3_44, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_48_3_44) = 0, yields:
% 198.34/159.93 | (255) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_48_3_44) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.93 |
% 198.34/159.93 | Instantiating (254) with all_424_0_219, all_424_1_220 yields:
% 198.34/159.93 | (256) (all_424_0_219 = 0 & greater_or_equal(all_424_1_220, all_48_3_44) = 0 & end_time(all_33_4_38) = all_424_1_220) | (all_424_0_219 = 0 & greater(all_48_3_44, all_424_1_220) = 0 & end_time(all_33_4_38) = all_424_1_220) | ( ~ (all_424_1_220 = 0) & environment(all_33_4_38) = all_424_1_220)
% 198.34/159.93 |
% 198.34/159.93 | Instantiating (255) with all_429_0_231, all_429_1_232 yields:
% 198.34/159.93 | (257) (all_429_0_231 = 0 & greater_or_equal(all_429_1_232, all_48_3_44) = 0 & end_time(all_33_4_38) = all_429_1_232) | ( ~ (all_429_1_232 = 0) & environment(all_33_4_38) = all_429_1_232)
% 198.34/159.93 |
% 198.34/159.93 +-Applying beta-rule and splitting (257), into two cases.
% 198.34/159.93 |-Branch one:
% 198.34/159.93 | (258) all_429_0_231 = 0 & greater_or_equal(all_429_1_232, all_48_3_44) = 0 & end_time(all_33_4_38) = all_429_1_232
% 198.34/159.93 |
% 198.34/159.93 | Applying alpha-rule on (258) yields:
% 198.34/159.93 | (259) all_429_0_231 = 0
% 198.34/159.93 | (260) greater_or_equal(all_429_1_232, all_48_3_44) = 0
% 198.34/159.93 | (261) end_time(all_33_4_38) = all_429_1_232
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (43) with all_33_4_38, all_429_1_232, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_429_1_232, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.93 | (262) all_429_1_232 = all_33_1_35
% 198.34/159.93 |
% 198.34/159.93 | From (262) and (261) follows:
% 198.34/159.93 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.93 |
% 198.34/159.93 +-Applying beta-rule and splitting (225), into two cases.
% 198.34/159.93 |-Branch one:
% 198.34/159.93 | (264) greater(all_33_1_35, all_48_2_43) = 0
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (44) with all_57_0_67, all_135_2_141, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater(all_135_2_141, all_57_0_67) = 0, yields:
% 198.34/159.93 | (265) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_135_2_141) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_135_2_141, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (44) with all_57_0_67, all_114_2_98, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater(all_114_2_98, all_57_0_67) = 0, yields:
% 198.34/159.93 | (266) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_114_2_98) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_114_2_98, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (44) with all_57_0_67, all_61_2_79, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater(all_61_2_79, all_57_0_67) = 0, yields:
% 198.34/159.93 | (267) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_61_2_79) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_61_2_79, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (44) with all_57_0_67, all_60_2_75, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater(all_60_2_75, all_57_0_67) = 0, yields:
% 198.34/159.93 | (268) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_60_2_75) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_60_2_75, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.93 |
% 198.34/159.93 | Instantiating formula (44) with all_57_0_67, all_51_2_49, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater(all_51_2_49, all_57_0_67) = 0, yields:
% 198.34/159.93 | (269) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_51_2_49) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_51_2_49, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.94 |
% 198.34/159.94 | Instantiating formula (44) with all_57_0_67, all_48_2_43, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater(all_48_2_43, all_57_0_67) = 0, yields:
% 198.34/159.94 | (270) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_48_2_43) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_48_2_43, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.94 |
% 198.34/159.94 | Instantiating formula (18) with all_48_3_44, all_48_2_43, all_33_1_35 and discharging atoms greater(all_48_2_43, all_48_3_44) = 0, greater(all_33_1_35, all_48_2_43) = 0, yields:
% 198.34/159.94 | (271) greater(all_33_1_35, all_48_3_44) = 0
% 198.34/159.94 |
% 198.34/159.94 | Instantiating formula (18) with all_57_0_67, all_48_2_43, all_33_1_35 and discharging atoms greater(all_48_2_43, all_57_0_67) = 0, greater(all_33_1_35, all_48_2_43) = 0, yields:
% 198.34/159.94 | (272) greater(all_33_1_35, all_57_0_67) = 0
% 198.34/159.94 |
% 198.34/159.94 | Instantiating (266) with all_554_0_249, all_554_1_250 yields:
% 198.34/159.94 | (273) (all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250) | (all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250) | ( ~ (all_554_1_250 = 0) & environment(all_33_4_38) = all_554_1_250)
% 198.34/159.94 |
% 198.34/159.94 | Instantiating (265) with all_557_0_257, all_557_1_258 yields:
% 198.34/159.94 | (274) (all_557_0_257 = 0 & greater_or_equal(all_557_1_258, all_135_2_141) = 0 & end_time(all_33_4_38) = all_557_1_258) | (all_557_0_257 = 0 & greater(all_135_2_141, all_557_1_258) = 0 & end_time(all_33_4_38) = all_557_1_258) | ( ~ (all_557_1_258 = 0) & environment(all_33_4_38) = all_557_1_258)
% 198.34/159.94 |
% 198.34/159.94 | Instantiating (268) with all_559_0_261, all_559_1_262 yields:
% 198.34/159.94 | (275) (all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262) | (all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262) | ( ~ (all_559_1_262 = 0) & environment(all_33_4_38) = all_559_1_262)
% 198.34/159.94 |
% 198.34/159.94 | Instantiating (267) with all_564_0_272, all_564_1_273 yields:
% 198.34/159.94 | (276) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273) | ( ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273)
% 198.34/159.94 |
% 198.34/159.94 | Instantiating (269) with all_568_0_281, all_568_1_282 yields:
% 198.34/159.94 | (277) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282) | ( ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282)
% 198.34/159.94 |
% 198.34/159.94 | Instantiating (270) with all_569_0_283, all_569_1_284 yields:
% 198.34/159.94 | (278) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284) | ( ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284)
% 198.34/159.94 |
% 198.34/159.94 +-Applying beta-rule and splitting (256), into two cases.
% 198.34/159.94 |-Branch one:
% 198.34/159.94 | (279) (all_424_0_219 = 0 & greater_or_equal(all_424_1_220, all_48_3_44) = 0 & end_time(all_33_4_38) = all_424_1_220) | (all_424_0_219 = 0 & greater(all_48_3_44, all_424_1_220) = 0 & end_time(all_33_4_38) = all_424_1_220)
% 198.34/159.94 |
% 198.34/159.94 +-Applying beta-rule and splitting (279), into two cases.
% 198.34/159.94 |-Branch one:
% 198.34/159.94 | (280) all_424_0_219 = 0 & greater_or_equal(all_424_1_220, all_48_3_44) = 0 & end_time(all_33_4_38) = all_424_1_220
% 198.34/159.94 |
% 198.34/159.94 | Applying alpha-rule on (280) yields:
% 198.34/159.94 | (281) all_424_0_219 = 0
% 198.34/159.94 | (282) greater_or_equal(all_424_1_220, all_48_3_44) = 0
% 198.34/159.94 | (283) end_time(all_33_4_38) = all_424_1_220
% 198.34/159.94 |
% 198.34/159.94 | Instantiating formula (43) with all_33_4_38, all_424_1_220, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_424_1_220, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.94 | (284) all_424_1_220 = all_33_1_35
% 198.34/159.94 |
% 198.34/159.94 | From (284) and (283) follows:
% 198.34/159.94 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.94 |
% 198.34/159.94 | Instantiating formula (54) with all_57_0_67, all_33_1_35 and discharging atoms greater(all_33_1_35, all_57_0_67) = 0, yields:
% 198.34/159.94 | (286) greater_or_equal(all_33_1_35, all_57_0_67) = 0
% 198.34/159.94 |
% 198.34/159.94 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 198.34/159.94 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 198.34/159.94 |
% 198.34/159.94 | Instantiating (287) with all_763_0_313 yields:
% 198.34/159.94 | (288) (all_763_0_313 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_763_0_313 = 0) & environment(all_33_4_38) = all_763_0_313) | ( ~ (all_763_0_313 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_763_0_313)
% 198.34/159.94 |
% 198.34/159.94 +-Applying beta-rule and splitting (288), into two cases.
% 198.34/159.94 |-Branch one:
% 198.34/159.94 | (289) (all_763_0_313 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_763_0_313 = 0) & environment(all_33_4_38) = all_763_0_313)
% 198.34/159.94 |
% 198.34/159.94 +-Applying beta-rule and splitting (289), into two cases.
% 198.34/159.94 |-Branch one:
% 198.34/159.94 | (290) all_763_0_313 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 198.34/159.94 |
% 198.34/159.94 | Applying alpha-rule on (290) yields:
% 198.34/159.94 | (291) all_763_0_313 = 0
% 198.34/159.94 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 198.34/159.94 |
% 198.34/159.94 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 198.34/159.94 | (109) all_33_0_34 = 0
% 198.34/159.94 |
% 198.34/159.94 | Equations (109) can reduce 72 to:
% 198.34/159.94 | (62) $false
% 198.34/159.94 |
% 198.34/159.94 |-The branch is then unsatisfiable
% 198.34/159.94 |-Branch two:
% 198.34/159.94 | (295) ~ (all_763_0_313 = 0) & environment(all_33_4_38) = all_763_0_313
% 198.34/159.94 |
% 198.34/159.94 | Applying alpha-rule on (295) yields:
% 198.34/159.94 | (296) ~ (all_763_0_313 = 0)
% 198.34/159.94 | (297) environment(all_33_4_38) = all_763_0_313
% 198.34/159.94 |
% 198.34/159.94 | Instantiating formula (35) with all_33_4_38, all_763_0_313, 0 and discharging atoms environment(all_33_4_38) = all_763_0_313, environment(all_33_4_38) = 0, yields:
% 198.34/159.94 | (291) all_763_0_313 = 0
% 198.34/159.94 |
% 198.34/159.94 | Equations (291) can reduce 296 to:
% 198.34/159.94 | (62) $false
% 198.34/159.94 |
% 198.34/159.94 |-The branch is then unsatisfiable
% 198.34/159.94 |-Branch two:
% 198.34/159.94 | (300) ~ (all_763_0_313 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_763_0_313
% 198.34/159.94 |
% 198.34/159.94 | Applying alpha-rule on (300) yields:
% 198.34/159.94 | (296) ~ (all_763_0_313 = 0)
% 198.34/159.94 | (302) in_environment(all_33_4_38, all_33_1_35) = all_763_0_313
% 198.34/159.94 |
% 198.34/159.94 +-Applying beta-rule and splitting (273), into two cases.
% 198.34/159.94 |-Branch one:
% 198.34/159.94 | (303) (all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250) | (all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250)
% 198.34/159.94 |
% 198.34/159.94 +-Applying beta-rule and splitting (303), into two cases.
% 198.34/159.94 |-Branch one:
% 198.34/159.94 | (304) all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250
% 198.34/159.94 |
% 198.34/159.94 | Applying alpha-rule on (304) yields:
% 198.34/159.94 | (305) all_554_0_249 = 0
% 198.34/159.94 | (306) greater_or_equal(all_554_1_250, all_114_2_98) = 0
% 198.34/159.94 | (307) end_time(all_33_4_38) = all_554_1_250
% 198.34/159.94 |
% 198.34/159.94 | Instantiating formula (43) with all_33_4_38, all_554_1_250, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_554_1_250, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.94 | (308) all_554_1_250 = all_33_1_35
% 198.34/159.94 |
% 198.34/159.94 | From (308) and (307) follows:
% 198.34/159.94 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.94 |
% 198.34/159.94 +-Applying beta-rule and splitting (274), into two cases.
% 198.34/159.94 |-Branch one:
% 198.34/159.94 | (310) (all_557_0_257 = 0 & greater_or_equal(all_557_1_258, all_135_2_141) = 0 & end_time(all_33_4_38) = all_557_1_258) | (all_557_0_257 = 0 & greater(all_135_2_141, all_557_1_258) = 0 & end_time(all_33_4_38) = all_557_1_258)
% 198.34/159.94 |
% 198.34/159.94 +-Applying beta-rule and splitting (310), into two cases.
% 198.34/159.94 |-Branch one:
% 198.34/159.94 | (311) all_557_0_257 = 0 & greater_or_equal(all_557_1_258, all_135_2_141) = 0 & end_time(all_33_4_38) = all_557_1_258
% 198.34/159.94 |
% 198.34/159.94 | Applying alpha-rule on (311) yields:
% 198.34/159.94 | (312) all_557_0_257 = 0
% 198.34/159.94 | (313) greater_or_equal(all_557_1_258, all_135_2_141) = 0
% 198.34/159.94 | (314) end_time(all_33_4_38) = all_557_1_258
% 198.34/159.94 |
% 198.34/159.94 | Instantiating formula (43) with all_33_4_38, all_557_1_258, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_557_1_258, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.94 | (315) all_557_1_258 = all_33_1_35
% 198.34/159.94 |
% 198.34/159.94 | From (315) and (314) follows:
% 198.34/159.95 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (275), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (317) (all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262) | (all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262)
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (317), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (318) all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262
% 198.34/159.95 |
% 198.34/159.95 | Applying alpha-rule on (318) yields:
% 198.34/159.95 | (319) all_559_0_261 = 0
% 198.34/159.95 | (320) greater_or_equal(all_559_1_262, all_60_2_75) = 0
% 198.34/159.95 | (321) end_time(all_33_4_38) = all_559_1_262
% 198.34/159.95 |
% 198.34/159.95 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.95 | (322) all_559_1_262 = all_33_1_35
% 198.34/159.95 |
% 198.34/159.95 | From (322) and (321) follows:
% 198.34/159.95 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (276), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (324), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 198.34/159.95 |
% 198.34/159.95 | Applying alpha-rule on (325) yields:
% 198.34/159.95 | (326) all_564_0_272 = 0
% 198.34/159.95 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 198.34/159.95 | (328) end_time(all_33_4_38) = all_564_1_273
% 198.34/159.95 |
% 198.34/159.95 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.95 | (329) all_564_1_273 = all_33_1_35
% 198.34/159.95 |
% 198.34/159.95 | From (329) and (328) follows:
% 198.34/159.95 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (277), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (331), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.34/159.95 |
% 198.34/159.95 | Applying alpha-rule on (332) yields:
% 198.34/159.95 | (333) all_568_0_281 = 0
% 198.34/159.95 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 198.34/159.95 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.34/159.95 |
% 198.34/159.95 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.95 | (336) all_568_1_282 = all_33_1_35
% 198.34/159.95 |
% 198.34/159.95 | From (336) and (335) follows:
% 198.34/159.95 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (278), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (338), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.34/159.95 |
% 198.34/159.95 | Applying alpha-rule on (339) yields:
% 198.34/159.95 | (340) all_569_0_283 = 0
% 198.34/159.95 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.34/159.95 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.34/159.95 |
% 198.34/159.95 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.95 | (343) all_569_1_284 = all_33_1_35
% 198.34/159.95 |
% 198.34/159.95 | From (343) and (342) follows:
% 198.34/159.95 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.95 |
% 198.34/159.95 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.34/159.95 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.95 |
% 198.34/159.95 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.34/159.95 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.95 |
% 198.34/159.95 | Instantiating (345) with all_1038_0_634, all_1038_1_635 yields:
% 198.34/159.95 | (347) (all_1038_1_635 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_634 = 0) & greater_or_equal(all_1038_1_635, all_33_1_35) = all_1038_0_634 & end_time(all_33_4_38) = all_1038_1_635) | ( ~ (all_1038_1_635 = 0) & environment(all_33_4_38) = all_1038_1_635)
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (346), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (291) all_763_0_313 = 0
% 198.34/159.95 |
% 198.34/159.95 | Equations (291) can reduce 296 to:
% 198.34/159.95 | (62) $false
% 198.34/159.95 |
% 198.34/159.95 |-The branch is then unsatisfiable
% 198.34/159.95 |-Branch two:
% 198.34/159.95 | (296) ~ (all_763_0_313 = 0)
% 198.34/159.95 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (347), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (352) (all_1038_1_635 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_634 = 0) & greater_or_equal(all_1038_1_635, all_33_1_35) = all_1038_0_634 & end_time(all_33_4_38) = all_1038_1_635)
% 198.34/159.95 |
% 198.34/159.95 +-Applying beta-rule and splitting (352), into two cases.
% 198.34/159.95 |-Branch one:
% 198.34/159.95 | (353) all_1038_1_635 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.95 |
% 198.34/159.95 | Applying alpha-rule on (353) yields:
% 198.34/159.95 | (354) all_1038_1_635 = 0
% 198.34/159.95 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.95 |
% 198.34/159.95 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.34/159.95 | (291) all_763_0_313 = 0
% 198.34/159.95 |
% 198.34/159.95 | Equations (291) can reduce 296 to:
% 198.34/159.95 | (62) $false
% 198.34/159.95 |
% 198.34/159.95 |-The branch is then unsatisfiable
% 198.34/159.95 |-Branch two:
% 198.34/159.95 | (358) ~ (all_1038_0_634 = 0) & greater_or_equal(all_1038_1_635, all_33_1_35) = all_1038_0_634 & end_time(all_33_4_38) = all_1038_1_635
% 198.34/159.95 |
% 198.34/159.95 | Applying alpha-rule on (358) yields:
% 198.34/159.95 | (359) ~ (all_1038_0_634 = 0)
% 198.34/159.95 | (360) greater_or_equal(all_1038_1_635, all_33_1_35) = all_1038_0_634
% 198.34/159.95 | (361) end_time(all_33_4_38) = all_1038_1_635
% 198.34/159.95 |
% 198.34/159.95 | Instantiating formula (43) with all_33_4_38, all_1038_1_635, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_635, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.95 | (362) all_1038_1_635 = all_33_1_35
% 198.34/159.95 |
% 198.34/159.95 | From (362) and (360) follows:
% 198.34/159.95 | (363) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_634
% 198.34/159.95 |
% 198.34/159.95 | Instantiating formula (34) with all_1038_0_634, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_634, yields:
% 198.34/159.95 | (364) all_1038_0_634 = 0
% 198.34/159.95 |
% 198.34/159.95 | Equations (364) can reduce 359 to:
% 198.34/159.95 | (62) $false
% 198.34/159.95 |
% 198.34/159.95 |-The branch is then unsatisfiable
% 198.34/159.95 |-Branch two:
% 198.34/159.95 | (366) ~ (all_1038_1_635 = 0) & environment(all_33_4_38) = all_1038_1_635
% 198.34/159.95 |
% 198.34/159.95 | Applying alpha-rule on (366) yields:
% 198.34/159.95 | (367) ~ (all_1038_1_635 = 0)
% 198.34/159.95 | (368) environment(all_33_4_38) = all_1038_1_635
% 198.34/159.95 |
% 198.34/159.95 | Instantiating formula (35) with all_33_4_38, all_1038_1_635, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_635, environment(all_33_4_38) = 0, yields:
% 198.34/159.95 | (354) all_1038_1_635 = 0
% 198.34/159.95 |
% 198.34/159.95 | Equations (354) can reduce 367 to:
% 198.34/159.95 | (62) $false
% 198.34/159.95 |
% 198.34/159.95 |-The branch is then unsatisfiable
% 198.34/159.95 |-Branch two:
% 198.34/159.95 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.34/159.96 |
% 198.34/159.96 | Applying alpha-rule on (371) yields:
% 198.34/159.96 | (340) all_569_0_283 = 0
% 198.34/159.96 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.34/159.96 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.96 | (343) all_569_1_284 = all_33_1_35
% 198.34/159.96 |
% 198.34/159.96 | From (343) and (342) follows:
% 198.34/159.96 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.34/159.96 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.34/159.96 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.96 |
% 198.34/159.96 | Instantiating (345) with all_1037_0_699, all_1037_1_700 yields:
% 198.34/159.96 | (379) (all_1037_1_700 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_699 = 0) & greater_or_equal(all_1037_1_700, all_33_1_35) = all_1037_0_699 & end_time(all_33_4_38) = all_1037_1_700) | ( ~ (all_1037_1_700 = 0) & environment(all_33_4_38) = all_1037_1_700)
% 198.34/159.96 |
% 198.34/159.96 +-Applying beta-rule and splitting (346), into two cases.
% 198.34/159.96 |-Branch one:
% 198.34/159.96 | (291) all_763_0_313 = 0
% 198.34/159.96 |
% 198.34/159.96 | Equations (291) can reduce 296 to:
% 198.34/159.96 | (62) $false
% 198.34/159.96 |
% 198.34/159.96 |-The branch is then unsatisfiable
% 198.34/159.96 |-Branch two:
% 198.34/159.96 | (296) ~ (all_763_0_313 = 0)
% 198.34/159.96 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.96 |
% 198.34/159.96 +-Applying beta-rule and splitting (379), into two cases.
% 198.34/159.96 |-Branch one:
% 198.34/159.96 | (384) (all_1037_1_700 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_699 = 0) & greater_or_equal(all_1037_1_700, all_33_1_35) = all_1037_0_699 & end_time(all_33_4_38) = all_1037_1_700)
% 198.34/159.96 |
% 198.34/159.96 +-Applying beta-rule and splitting (384), into two cases.
% 198.34/159.96 |-Branch one:
% 198.34/159.96 | (385) all_1037_1_700 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.96 |
% 198.34/159.96 | Applying alpha-rule on (385) yields:
% 198.34/159.96 | (386) all_1037_1_700 = 0
% 198.34/159.96 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.34/159.96 | (291) all_763_0_313 = 0
% 198.34/159.96 |
% 198.34/159.96 | Equations (291) can reduce 296 to:
% 198.34/159.96 | (62) $false
% 198.34/159.96 |
% 198.34/159.96 |-The branch is then unsatisfiable
% 198.34/159.96 |-Branch two:
% 198.34/159.96 | (390) ~ (all_1037_0_699 = 0) & greater_or_equal(all_1037_1_700, all_33_1_35) = all_1037_0_699 & end_time(all_33_4_38) = all_1037_1_700
% 198.34/159.96 |
% 198.34/159.96 | Applying alpha-rule on (390) yields:
% 198.34/159.96 | (391) ~ (all_1037_0_699 = 0)
% 198.34/159.96 | (392) greater_or_equal(all_1037_1_700, all_33_1_35) = all_1037_0_699
% 198.34/159.96 | (393) end_time(all_33_4_38) = all_1037_1_700
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (43) with all_33_4_38, all_1037_1_700, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_700, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.96 | (394) all_1037_1_700 = all_33_1_35
% 198.34/159.96 |
% 198.34/159.96 | From (394) and (392) follows:
% 198.34/159.96 | (395) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_699
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (34) with all_1037_0_699, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_699, yields:
% 198.34/159.96 | (396) all_1037_0_699 = 0
% 198.34/159.96 |
% 198.34/159.96 | Equations (396) can reduce 391 to:
% 198.34/159.96 | (62) $false
% 198.34/159.96 |
% 198.34/159.96 |-The branch is then unsatisfiable
% 198.34/159.96 |-Branch two:
% 198.34/159.96 | (398) ~ (all_1037_1_700 = 0) & environment(all_33_4_38) = all_1037_1_700
% 198.34/159.96 |
% 198.34/159.96 | Applying alpha-rule on (398) yields:
% 198.34/159.96 | (399) ~ (all_1037_1_700 = 0)
% 198.34/159.96 | (400) environment(all_33_4_38) = all_1037_1_700
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (35) with all_33_4_38, all_1037_1_700, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_700, environment(all_33_4_38) = 0, yields:
% 198.34/159.96 | (386) all_1037_1_700 = 0
% 198.34/159.96 |
% 198.34/159.96 | Equations (386) can reduce 399 to:
% 198.34/159.96 | (62) $false
% 198.34/159.96 |
% 198.34/159.96 |-The branch is then unsatisfiable
% 198.34/159.96 |-Branch two:
% 198.34/159.96 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.34/159.96 |
% 198.34/159.96 | Applying alpha-rule on (403) yields:
% 198.34/159.96 | (404) ~ (all_569_1_284 = 0)
% 198.34/159.96 | (405) environment(all_33_4_38) = all_569_1_284
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.34/159.96 | (406) all_569_1_284 = 0
% 198.34/159.96 |
% 198.34/159.96 | Equations (406) can reduce 404 to:
% 198.34/159.96 | (62) $false
% 198.34/159.96 |
% 198.34/159.96 |-The branch is then unsatisfiable
% 198.34/159.96 |-Branch two:
% 198.34/159.96 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.34/159.96 |
% 198.34/159.96 | Applying alpha-rule on (408) yields:
% 198.34/159.96 | (333) all_568_0_281 = 0
% 198.34/159.96 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 198.34/159.96 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.96 | (336) all_568_1_282 = all_33_1_35
% 198.34/159.96 |
% 198.34/159.96 | From (336) and (335) follows:
% 198.34/159.96 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.96 |
% 198.34/159.96 +-Applying beta-rule and splitting (278), into two cases.
% 198.34/159.96 |-Branch one:
% 198.34/159.96 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.34/159.96 |
% 198.34/159.96 +-Applying beta-rule and splitting (338), into two cases.
% 198.34/159.96 |-Branch one:
% 198.34/159.96 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.34/159.96 |
% 198.34/159.96 | Applying alpha-rule on (339) yields:
% 198.34/159.96 | (340) all_569_0_283 = 0
% 198.34/159.96 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.34/159.96 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.96 | (343) all_569_1_284 = all_33_1_35
% 198.34/159.96 |
% 198.34/159.96 | From (343) and (342) follows:
% 198.34/159.96 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.34/159.96 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.96 |
% 198.34/159.96 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.34/159.96 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.96 |
% 198.34/159.96 | Instantiating (345) with all_1037_0_767, all_1037_1_768 yields:
% 198.34/159.96 | (423) (all_1037_1_768 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_767 = 0) & greater_or_equal(all_1037_1_768, all_33_1_35) = all_1037_0_767 & end_time(all_33_4_38) = all_1037_1_768) | ( ~ (all_1037_1_768 = 0) & environment(all_33_4_38) = all_1037_1_768)
% 198.34/159.96 |
% 198.34/159.96 +-Applying beta-rule and splitting (346), into two cases.
% 198.34/159.97 |-Branch one:
% 198.34/159.97 | (291) all_763_0_313 = 0
% 198.34/159.97 |
% 198.34/159.97 | Equations (291) can reduce 296 to:
% 198.34/159.97 | (62) $false
% 198.34/159.97 |
% 198.34/159.97 |-The branch is then unsatisfiable
% 198.34/159.97 |-Branch two:
% 198.34/159.97 | (296) ~ (all_763_0_313 = 0)
% 198.34/159.97 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.97 |
% 198.34/159.97 +-Applying beta-rule and splitting (423), into two cases.
% 198.34/159.97 |-Branch one:
% 198.34/159.97 | (428) (all_1037_1_768 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_767 = 0) & greater_or_equal(all_1037_1_768, all_33_1_35) = all_1037_0_767 & end_time(all_33_4_38) = all_1037_1_768)
% 198.34/159.97 |
% 198.34/159.97 +-Applying beta-rule and splitting (428), into two cases.
% 198.34/159.97 |-Branch one:
% 198.34/159.97 | (429) all_1037_1_768 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.97 |
% 198.34/159.97 | Applying alpha-rule on (429) yields:
% 198.34/159.97 | (430) all_1037_1_768 = 0
% 198.34/159.97 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.34/159.97 | (291) all_763_0_313 = 0
% 198.34/159.97 |
% 198.34/159.97 | Equations (291) can reduce 296 to:
% 198.34/159.97 | (62) $false
% 198.34/159.97 |
% 198.34/159.97 |-The branch is then unsatisfiable
% 198.34/159.97 |-Branch two:
% 198.34/159.97 | (434) ~ (all_1037_0_767 = 0) & greater_or_equal(all_1037_1_768, all_33_1_35) = all_1037_0_767 & end_time(all_33_4_38) = all_1037_1_768
% 198.34/159.97 |
% 198.34/159.97 | Applying alpha-rule on (434) yields:
% 198.34/159.97 | (435) ~ (all_1037_0_767 = 0)
% 198.34/159.97 | (436) greater_or_equal(all_1037_1_768, all_33_1_35) = all_1037_0_767
% 198.34/159.97 | (437) end_time(all_33_4_38) = all_1037_1_768
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (43) with all_33_4_38, all_1037_1_768, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_768, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.97 | (438) all_1037_1_768 = all_33_1_35
% 198.34/159.97 |
% 198.34/159.97 | From (438) and (436) follows:
% 198.34/159.97 | (439) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_767
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (34) with all_1037_0_767, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_767, yields:
% 198.34/159.97 | (440) all_1037_0_767 = 0
% 198.34/159.97 |
% 198.34/159.97 | Equations (440) can reduce 435 to:
% 198.34/159.97 | (62) $false
% 198.34/159.97 |
% 198.34/159.97 |-The branch is then unsatisfiable
% 198.34/159.97 |-Branch two:
% 198.34/159.97 | (442) ~ (all_1037_1_768 = 0) & environment(all_33_4_38) = all_1037_1_768
% 198.34/159.97 |
% 198.34/159.97 | Applying alpha-rule on (442) yields:
% 198.34/159.97 | (443) ~ (all_1037_1_768 = 0)
% 198.34/159.97 | (444) environment(all_33_4_38) = all_1037_1_768
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (35) with all_33_4_38, all_1037_1_768, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_768, environment(all_33_4_38) = 0, yields:
% 198.34/159.97 | (430) all_1037_1_768 = 0
% 198.34/159.97 |
% 198.34/159.97 | Equations (430) can reduce 443 to:
% 198.34/159.97 | (62) $false
% 198.34/159.97 |
% 198.34/159.97 |-The branch is then unsatisfiable
% 198.34/159.97 |-Branch two:
% 198.34/159.97 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.34/159.97 |
% 198.34/159.97 | Applying alpha-rule on (371) yields:
% 198.34/159.97 | (340) all_569_0_283 = 0
% 198.34/159.97 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.34/159.97 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.97 | (343) all_569_1_284 = all_33_1_35
% 198.34/159.97 |
% 198.34/159.97 | From (343) and (342) follows:
% 198.34/159.97 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.34/159.97 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.34/159.97 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.97 |
% 198.34/159.97 | Instantiating (345) with all_1041_0_916, all_1041_1_917 yields:
% 198.34/159.97 | (455) (all_1041_1_917 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1041_0_916 = 0) & greater_or_equal(all_1041_1_917, all_33_1_35) = all_1041_0_916 & end_time(all_33_4_38) = all_1041_1_917) | ( ~ (all_1041_1_917 = 0) & environment(all_33_4_38) = all_1041_1_917)
% 198.34/159.97 |
% 198.34/159.97 +-Applying beta-rule and splitting (455), into two cases.
% 198.34/159.97 |-Branch one:
% 198.34/159.97 | (456) (all_1041_1_917 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1041_0_916 = 0) & greater_or_equal(all_1041_1_917, all_33_1_35) = all_1041_0_916 & end_time(all_33_4_38) = all_1041_1_917)
% 198.34/159.97 |
% 198.34/159.97 +-Applying beta-rule and splitting (456), into two cases.
% 198.34/159.97 |-Branch one:
% 198.34/159.97 | (457) all_1041_1_917 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.97 |
% 198.34/159.97 | Applying alpha-rule on (457) yields:
% 198.34/159.97 | (458) all_1041_1_917 = 0
% 198.34/159.97 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.97 |
% 198.34/159.97 +-Applying beta-rule and splitting (346), into two cases.
% 198.34/159.97 |-Branch one:
% 198.34/159.97 | (291) all_763_0_313 = 0
% 198.34/159.97 |
% 198.34/159.97 | Equations (291) can reduce 296 to:
% 198.34/159.97 | (62) $false
% 198.34/159.97 |
% 198.34/159.97 |-The branch is then unsatisfiable
% 198.34/159.97 |-Branch two:
% 198.34/159.97 | (296) ~ (all_763_0_313 = 0)
% 198.34/159.97 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.34/159.97 | (291) all_763_0_313 = 0
% 198.34/159.97 |
% 198.34/159.97 | Equations (291) can reduce 296 to:
% 198.34/159.97 | (62) $false
% 198.34/159.97 |
% 198.34/159.97 |-The branch is then unsatisfiable
% 198.34/159.97 |-Branch two:
% 198.34/159.97 | (466) ~ (all_1041_0_916 = 0) & greater_or_equal(all_1041_1_917, all_33_1_35) = all_1041_0_916 & end_time(all_33_4_38) = all_1041_1_917
% 198.34/159.97 |
% 198.34/159.97 | Applying alpha-rule on (466) yields:
% 198.34/159.97 | (467) ~ (all_1041_0_916 = 0)
% 198.34/159.97 | (468) greater_or_equal(all_1041_1_917, all_33_1_35) = all_1041_0_916
% 198.34/159.97 | (469) end_time(all_33_4_38) = all_1041_1_917
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (43) with all_33_4_38, all_1041_1_917, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1041_1_917, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.97 | (470) all_1041_1_917 = all_33_1_35
% 198.34/159.97 |
% 198.34/159.97 | From (470) and (468) follows:
% 198.34/159.97 | (471) greater_or_equal(all_33_1_35, all_33_1_35) = all_1041_0_916
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (34) with all_1041_0_916, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1041_0_916, yields:
% 198.34/159.97 | (472) all_1041_0_916 = 0
% 198.34/159.97 |
% 198.34/159.97 | Equations (472) can reduce 467 to:
% 198.34/159.97 | (62) $false
% 198.34/159.97 |
% 198.34/159.97 |-The branch is then unsatisfiable
% 198.34/159.97 |-Branch two:
% 198.34/159.97 | (474) ~ (all_1041_1_917 = 0) & environment(all_33_4_38) = all_1041_1_917
% 198.34/159.97 |
% 198.34/159.97 | Applying alpha-rule on (474) yields:
% 198.34/159.97 | (475) ~ (all_1041_1_917 = 0)
% 198.34/159.97 | (476) environment(all_33_4_38) = all_1041_1_917
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (35) with all_33_4_38, all_1041_1_917, 0 and discharging atoms environment(all_33_4_38) = all_1041_1_917, environment(all_33_4_38) = 0, yields:
% 198.34/159.97 | (458) all_1041_1_917 = 0
% 198.34/159.97 |
% 198.34/159.97 | Equations (458) can reduce 475 to:
% 198.34/159.97 | (62) $false
% 198.34/159.97 |
% 198.34/159.97 |-The branch is then unsatisfiable
% 198.34/159.97 |-Branch two:
% 198.34/159.97 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.34/159.97 |
% 198.34/159.97 | Applying alpha-rule on (403) yields:
% 198.34/159.97 | (404) ~ (all_569_1_284 = 0)
% 198.34/159.97 | (405) environment(all_33_4_38) = all_569_1_284
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.34/159.97 | (406) all_569_1_284 = 0
% 198.34/159.97 |
% 198.34/159.97 | Equations (406) can reduce 404 to:
% 198.34/159.97 | (62) $false
% 198.34/159.97 |
% 198.34/159.97 |-The branch is then unsatisfiable
% 198.34/159.97 |-Branch two:
% 198.34/159.97 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 198.34/159.97 |
% 198.34/159.97 | Applying alpha-rule on (484) yields:
% 198.34/159.97 | (485) ~ (all_568_1_282 = 0)
% 198.34/159.97 | (486) environment(all_33_4_38) = all_568_1_282
% 198.34/159.97 |
% 198.34/159.97 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 198.34/159.97 | (487) all_568_1_282 = 0
% 198.34/159.97 |
% 198.34/159.97 | Equations (487) can reduce 485 to:
% 198.34/159.97 | (62) $false
% 198.34/159.97 |
% 198.34/159.97 |-The branch is then unsatisfiable
% 198.34/159.97 |-Branch two:
% 198.34/159.97 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 198.34/159.97 |
% 198.34/159.97 | Applying alpha-rule on (489) yields:
% 198.34/159.97 | (326) all_564_0_272 = 0
% 198.34/159.97 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 198.34/159.98 | (328) end_time(all_33_4_38) = all_564_1_273
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.98 | (329) all_564_1_273 = all_33_1_35
% 198.34/159.98 |
% 198.34/159.98 | From (329) and (328) follows:
% 198.34/159.98 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.98 |
% 198.34/159.98 +-Applying beta-rule and splitting (277), into two cases.
% 198.34/159.98 |-Branch one:
% 198.34/159.98 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 198.34/159.98 |
% 198.34/159.98 +-Applying beta-rule and splitting (331), into two cases.
% 198.34/159.98 |-Branch one:
% 198.34/159.98 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.34/159.98 |
% 198.34/159.98 | Applying alpha-rule on (332) yields:
% 198.34/159.98 | (333) all_568_0_281 = 0
% 198.34/159.98 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 198.34/159.98 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.98 | (336) all_568_1_282 = all_33_1_35
% 198.34/159.98 |
% 198.34/159.98 | From (336) and (335) follows:
% 198.34/159.98 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.98 |
% 198.34/159.98 +-Applying beta-rule and splitting (278), into two cases.
% 198.34/159.98 |-Branch one:
% 198.34/159.98 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.34/159.98 |
% 198.34/159.98 +-Applying beta-rule and splitting (338), into two cases.
% 198.34/159.98 |-Branch one:
% 198.34/159.98 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.34/159.98 |
% 198.34/159.98 | Applying alpha-rule on (339) yields:
% 198.34/159.98 | (340) all_569_0_283 = 0
% 198.34/159.98 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.34/159.98 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.98 | (343) all_569_1_284 = all_33_1_35
% 198.34/159.98 |
% 198.34/159.98 | From (343) and (342) follows:
% 198.34/159.98 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.34/159.98 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.34/159.98 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.98 |
% 198.34/159.98 | Instantiating (345) with all_1037_0_1061, all_1037_1_1062 yields:
% 198.34/159.98 | (511) (all_1037_1_1062 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1061 = 0) & greater_or_equal(all_1037_1_1062, all_33_1_35) = all_1037_0_1061 & end_time(all_33_4_38) = all_1037_1_1062) | ( ~ (all_1037_1_1062 = 0) & environment(all_33_4_38) = all_1037_1_1062)
% 198.34/159.98 |
% 198.34/159.98 +-Applying beta-rule and splitting (346), into two cases.
% 198.34/159.98 |-Branch one:
% 198.34/159.98 | (291) all_763_0_313 = 0
% 198.34/159.98 |
% 198.34/159.98 | Equations (291) can reduce 296 to:
% 198.34/159.98 | (62) $false
% 198.34/159.98 |
% 198.34/159.98 |-The branch is then unsatisfiable
% 198.34/159.98 |-Branch two:
% 198.34/159.98 | (296) ~ (all_763_0_313 = 0)
% 198.34/159.98 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.98 |
% 198.34/159.98 +-Applying beta-rule and splitting (511), into two cases.
% 198.34/159.98 |-Branch one:
% 198.34/159.98 | (516) (all_1037_1_1062 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1061 = 0) & greater_or_equal(all_1037_1_1062, all_33_1_35) = all_1037_0_1061 & end_time(all_33_4_38) = all_1037_1_1062)
% 198.34/159.98 |
% 198.34/159.98 +-Applying beta-rule and splitting (516), into two cases.
% 198.34/159.98 |-Branch one:
% 198.34/159.98 | (517) all_1037_1_1062 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.98 |
% 198.34/159.98 | Applying alpha-rule on (517) yields:
% 198.34/159.98 | (518) all_1037_1_1062 = 0
% 198.34/159.98 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.34/159.98 | (291) all_763_0_313 = 0
% 198.34/159.98 |
% 198.34/159.98 | Equations (291) can reduce 296 to:
% 198.34/159.98 | (62) $false
% 198.34/159.98 |
% 198.34/159.98 |-The branch is then unsatisfiable
% 198.34/159.98 |-Branch two:
% 198.34/159.98 | (522) ~ (all_1037_0_1061 = 0) & greater_or_equal(all_1037_1_1062, all_33_1_35) = all_1037_0_1061 & end_time(all_33_4_38) = all_1037_1_1062
% 198.34/159.98 |
% 198.34/159.98 | Applying alpha-rule on (522) yields:
% 198.34/159.98 | (523) ~ (all_1037_0_1061 = 0)
% 198.34/159.98 | (524) greater_or_equal(all_1037_1_1062, all_33_1_35) = all_1037_0_1061
% 198.34/159.98 | (525) end_time(all_33_4_38) = all_1037_1_1062
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (43) with all_33_4_38, all_1037_1_1062, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_1062, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.98 | (526) all_1037_1_1062 = all_33_1_35
% 198.34/159.98 |
% 198.34/159.98 | From (526) and (524) follows:
% 198.34/159.98 | (527) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1061
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (34) with all_1037_0_1061, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1061, yields:
% 198.34/159.98 | (528) all_1037_0_1061 = 0
% 198.34/159.98 |
% 198.34/159.98 | Equations (528) can reduce 523 to:
% 198.34/159.98 | (62) $false
% 198.34/159.98 |
% 198.34/159.98 |-The branch is then unsatisfiable
% 198.34/159.98 |-Branch two:
% 198.34/159.98 | (530) ~ (all_1037_1_1062 = 0) & environment(all_33_4_38) = all_1037_1_1062
% 198.34/159.98 |
% 198.34/159.98 | Applying alpha-rule on (530) yields:
% 198.34/159.98 | (531) ~ (all_1037_1_1062 = 0)
% 198.34/159.98 | (532) environment(all_33_4_38) = all_1037_1_1062
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (35) with all_33_4_38, all_1037_1_1062, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_1062, environment(all_33_4_38) = 0, yields:
% 198.34/159.98 | (518) all_1037_1_1062 = 0
% 198.34/159.98 |
% 198.34/159.98 | Equations (518) can reduce 531 to:
% 198.34/159.98 | (62) $false
% 198.34/159.98 |
% 198.34/159.98 |-The branch is then unsatisfiable
% 198.34/159.98 |-Branch two:
% 198.34/159.98 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.34/159.98 |
% 198.34/159.98 | Applying alpha-rule on (371) yields:
% 198.34/159.98 | (340) all_569_0_283 = 0
% 198.34/159.98 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.34/159.98 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.98 | (343) all_569_1_284 = all_33_1_35
% 198.34/159.98 |
% 198.34/159.98 | From (343) and (342) follows:
% 198.34/159.98 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.34/159.98 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.34/159.98 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.98 |
% 198.34/159.98 | Instantiating (345) with all_1038_0_1134, all_1038_1_1135 yields:
% 198.34/159.98 | (543) (all_1038_1_1135 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_1134 = 0) & greater_or_equal(all_1038_1_1135, all_33_1_35) = all_1038_0_1134 & end_time(all_33_4_38) = all_1038_1_1135) | ( ~ (all_1038_1_1135 = 0) & environment(all_33_4_38) = all_1038_1_1135)
% 198.34/159.98 |
% 198.34/159.98 +-Applying beta-rule and splitting (346), into two cases.
% 198.34/159.98 |-Branch one:
% 198.34/159.98 | (291) all_763_0_313 = 0
% 198.34/159.98 |
% 198.34/159.98 | Equations (291) can reduce 296 to:
% 198.34/159.98 | (62) $false
% 198.34/159.98 |
% 198.34/159.98 |-The branch is then unsatisfiable
% 198.34/159.98 |-Branch two:
% 198.34/159.98 | (296) ~ (all_763_0_313 = 0)
% 198.34/159.98 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.34/159.98 |
% 198.34/159.98 +-Applying beta-rule and splitting (543), into two cases.
% 198.34/159.98 |-Branch one:
% 198.34/159.98 | (548) (all_1038_1_1135 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_1134 = 0) & greater_or_equal(all_1038_1_1135, all_33_1_35) = all_1038_0_1134 & end_time(all_33_4_38) = all_1038_1_1135)
% 198.34/159.98 |
% 198.34/159.98 +-Applying beta-rule and splitting (548), into two cases.
% 198.34/159.98 |-Branch one:
% 198.34/159.98 | (549) all_1038_1_1135 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.98 |
% 198.34/159.98 | Applying alpha-rule on (549) yields:
% 198.34/159.98 | (550) all_1038_1_1135 = 0
% 198.34/159.98 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.34/159.98 | (291) all_763_0_313 = 0
% 198.34/159.98 |
% 198.34/159.98 | Equations (291) can reduce 296 to:
% 198.34/159.98 | (62) $false
% 198.34/159.98 |
% 198.34/159.98 |-The branch is then unsatisfiable
% 198.34/159.98 |-Branch two:
% 198.34/159.98 | (554) ~ (all_1038_0_1134 = 0) & greater_or_equal(all_1038_1_1135, all_33_1_35) = all_1038_0_1134 & end_time(all_33_4_38) = all_1038_1_1135
% 198.34/159.98 |
% 198.34/159.98 | Applying alpha-rule on (554) yields:
% 198.34/159.98 | (555) ~ (all_1038_0_1134 = 0)
% 198.34/159.98 | (556) greater_or_equal(all_1038_1_1135, all_33_1_35) = all_1038_0_1134
% 198.34/159.98 | (557) end_time(all_33_4_38) = all_1038_1_1135
% 198.34/159.98 |
% 198.34/159.98 | Instantiating formula (43) with all_33_4_38, all_1038_1_1135, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_1135, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.98 | (558) all_1038_1_1135 = all_33_1_35
% 198.34/159.99 |
% 198.34/159.99 | From (558) and (556) follows:
% 198.34/159.99 | (559) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_1134
% 198.34/159.99 |
% 198.34/159.99 | Instantiating formula (34) with all_1038_0_1134, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_1134, yields:
% 198.34/159.99 | (560) all_1038_0_1134 = 0
% 198.34/159.99 |
% 198.34/159.99 | Equations (560) can reduce 555 to:
% 198.34/159.99 | (62) $false
% 198.34/159.99 |
% 198.34/159.99 |-The branch is then unsatisfiable
% 198.34/159.99 |-Branch two:
% 198.34/159.99 | (562) ~ (all_1038_1_1135 = 0) & environment(all_33_4_38) = all_1038_1_1135
% 198.34/159.99 |
% 198.34/159.99 | Applying alpha-rule on (562) yields:
% 198.34/159.99 | (563) ~ (all_1038_1_1135 = 0)
% 198.34/159.99 | (564) environment(all_33_4_38) = all_1038_1_1135
% 198.34/159.99 |
% 198.34/159.99 | Instantiating formula (35) with all_33_4_38, all_1038_1_1135, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_1135, environment(all_33_4_38) = 0, yields:
% 198.34/159.99 | (550) all_1038_1_1135 = 0
% 198.34/159.99 |
% 198.34/159.99 | Equations (550) can reduce 563 to:
% 198.34/159.99 | (62) $false
% 198.34/159.99 |
% 198.34/159.99 |-The branch is then unsatisfiable
% 198.34/159.99 |-Branch two:
% 198.34/159.99 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.34/159.99 |
% 198.34/159.99 | Applying alpha-rule on (403) yields:
% 198.34/159.99 | (404) ~ (all_569_1_284 = 0)
% 198.34/159.99 | (405) environment(all_33_4_38) = all_569_1_284
% 198.34/159.99 |
% 198.34/159.99 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.34/159.99 | (406) all_569_1_284 = 0
% 198.34/159.99 |
% 198.34/159.99 | Equations (406) can reduce 404 to:
% 198.34/159.99 | (62) $false
% 198.34/159.99 |
% 198.34/159.99 |-The branch is then unsatisfiable
% 198.34/159.99 |-Branch two:
% 198.34/159.99 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.34/159.99 |
% 198.34/159.99 | Applying alpha-rule on (408) yields:
% 198.34/159.99 | (333) all_568_0_281 = 0
% 198.34/159.99 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 198.34/159.99 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.34/159.99 |
% 198.34/159.99 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.34/159.99 | (336) all_568_1_282 = all_33_1_35
% 198.34/159.99 |
% 198.34/159.99 | From (336) and (335) follows:
% 198.34/159.99 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.34/159.99 |
% 198.34/159.99 +-Applying beta-rule and splitting (278), into two cases.
% 198.34/159.99 |-Branch one:
% 198.34/159.99 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.78/159.99 |
% 198.78/159.99 +-Applying beta-rule and splitting (338), into two cases.
% 198.78/159.99 |-Branch one:
% 198.78/159.99 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.78/159.99 |
% 198.78/159.99 | Applying alpha-rule on (339) yields:
% 198.78/159.99 | (340) all_569_0_283 = 0
% 198.78/159.99 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.78/159.99 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.78/159.99 |
% 198.78/159.99 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.78/159.99 | (343) all_569_1_284 = all_33_1_35
% 198.78/159.99 |
% 198.78/159.99 | From (343) and (342) follows:
% 198.78/159.99 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.78/159.99 |
% 198.78/159.99 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.78/159.99 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.78/159.99 |
% 198.78/159.99 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.78/159.99 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.78/159.99 |
% 198.78/159.99 | Instantiating (345) with all_1038_0_1204, all_1038_1_1205 yields:
% 198.78/159.99 | (587) (all_1038_1_1205 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_1204 = 0) & greater_or_equal(all_1038_1_1205, all_33_1_35) = all_1038_0_1204 & end_time(all_33_4_38) = all_1038_1_1205) | ( ~ (all_1038_1_1205 = 0) & environment(all_33_4_38) = all_1038_1_1205)
% 198.78/159.99 |
% 198.78/159.99 +-Applying beta-rule and splitting (346), into two cases.
% 198.78/159.99 |-Branch one:
% 198.78/159.99 | (291) all_763_0_313 = 0
% 198.78/159.99 |
% 198.78/159.99 | Equations (291) can reduce 296 to:
% 198.78/159.99 | (62) $false
% 198.78/159.99 |
% 198.78/159.99 |-The branch is then unsatisfiable
% 198.78/159.99 |-Branch two:
% 198.78/159.99 | (296) ~ (all_763_0_313 = 0)
% 198.78/159.99 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.78/159.99 |
% 198.78/159.99 +-Applying beta-rule and splitting (587), into two cases.
% 198.78/159.99 |-Branch one:
% 198.78/159.99 | (592) (all_1038_1_1205 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_1204 = 0) & greater_or_equal(all_1038_1_1205, all_33_1_35) = all_1038_0_1204 & end_time(all_33_4_38) = all_1038_1_1205)
% 198.78/159.99 |
% 198.78/159.99 +-Applying beta-rule and splitting (592), into two cases.
% 198.78/159.99 |-Branch one:
% 198.78/159.99 | (593) all_1038_1_1205 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.78/159.99 |
% 198.78/159.99 | Applying alpha-rule on (593) yields:
% 198.78/159.99 | (594) all_1038_1_1205 = 0
% 198.78/159.99 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.78/159.99 |
% 198.78/159.99 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.79/159.99 | (291) all_763_0_313 = 0
% 198.79/159.99 |
% 198.79/159.99 | Equations (291) can reduce 296 to:
% 198.79/159.99 | (62) $false
% 198.79/159.99 |
% 198.79/159.99 |-The branch is then unsatisfiable
% 198.79/159.99 |-Branch two:
% 198.79/159.99 | (598) ~ (all_1038_0_1204 = 0) & greater_or_equal(all_1038_1_1205, all_33_1_35) = all_1038_0_1204 & end_time(all_33_4_38) = all_1038_1_1205
% 198.79/159.99 |
% 198.79/159.99 | Applying alpha-rule on (598) yields:
% 198.79/159.99 | (599) ~ (all_1038_0_1204 = 0)
% 198.79/159.99 | (600) greater_or_equal(all_1038_1_1205, all_33_1_35) = all_1038_0_1204
% 198.79/159.99 | (601) end_time(all_33_4_38) = all_1038_1_1205
% 198.79/159.99 |
% 198.79/159.99 | Instantiating formula (43) with all_33_4_38, all_1038_1_1205, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_1205, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.79/159.99 | (602) all_1038_1_1205 = all_33_1_35
% 198.79/159.99 |
% 198.79/159.99 | From (602) and (600) follows:
% 198.79/159.99 | (603) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_1204
% 198.79/159.99 |
% 198.79/159.99 | Instantiating formula (34) with all_1038_0_1204, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_1204, yields:
% 198.79/159.99 | (604) all_1038_0_1204 = 0
% 198.79/159.99 |
% 198.79/159.99 | Equations (604) can reduce 599 to:
% 198.79/159.99 | (62) $false
% 198.79/159.99 |
% 198.79/159.99 |-The branch is then unsatisfiable
% 198.79/159.99 |-Branch two:
% 198.79/159.99 | (606) ~ (all_1038_1_1205 = 0) & environment(all_33_4_38) = all_1038_1_1205
% 198.79/159.99 |
% 198.79/159.99 | Applying alpha-rule on (606) yields:
% 198.79/159.99 | (607) ~ (all_1038_1_1205 = 0)
% 198.79/159.99 | (608) environment(all_33_4_38) = all_1038_1_1205
% 198.79/159.99 |
% 198.79/159.99 | Instantiating formula (35) with all_33_4_38, all_1038_1_1205, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_1205, environment(all_33_4_38) = 0, yields:
% 198.79/159.99 | (594) all_1038_1_1205 = 0
% 198.79/159.99 |
% 198.79/159.99 | Equations (594) can reduce 607 to:
% 198.79/159.99 | (62) $false
% 198.79/159.99 |
% 198.79/159.99 |-The branch is then unsatisfiable
% 198.79/159.99 |-Branch two:
% 198.79/159.99 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.79/159.99 |
% 198.79/159.99 | Applying alpha-rule on (371) yields:
% 198.79/159.99 | (340) all_569_0_283 = 0
% 198.79/159.99 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.79/159.99 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.79/159.99 |
% 198.79/159.99 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.79/159.99 | (343) all_569_1_284 = all_33_1_35
% 198.79/159.99 |
% 198.79/159.99 | From (343) and (342) follows:
% 198.79/159.99 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.79/159.99 |
% 198.79/159.99 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.79/159.99 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.79/159.99 |
% 198.79/159.99 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.79/159.99 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.79/159.99 |
% 198.79/159.99 | Instantiating (345) with all_1037_0_1270, all_1037_1_1271 yields:
% 198.79/159.99 | (619) (all_1037_1_1271 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1270 = 0) & greater_or_equal(all_1037_1_1271, all_33_1_35) = all_1037_0_1270 & end_time(all_33_4_38) = all_1037_1_1271) | ( ~ (all_1037_1_1271 = 0) & environment(all_33_4_38) = all_1037_1_1271)
% 198.79/159.99 |
% 198.79/159.99 +-Applying beta-rule and splitting (619), into two cases.
% 198.79/159.99 |-Branch one:
% 198.79/159.99 | (620) (all_1037_1_1271 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1270 = 0) & greater_or_equal(all_1037_1_1271, all_33_1_35) = all_1037_0_1270 & end_time(all_33_4_38) = all_1037_1_1271)
% 198.79/159.99 |
% 198.79/159.99 +-Applying beta-rule and splitting (620), into two cases.
% 198.79/159.99 |-Branch one:
% 198.79/159.99 | (621) all_1037_1_1271 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.79/159.99 |
% 198.79/159.99 | Applying alpha-rule on (621) yields:
% 198.79/159.99 | (622) all_1037_1_1271 = 0
% 198.79/159.99 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.79/159.99 |
% 198.79/159.99 +-Applying beta-rule and splitting (346), into two cases.
% 198.79/159.99 |-Branch one:
% 198.79/159.99 | (291) all_763_0_313 = 0
% 198.79/159.99 |
% 198.79/159.99 | Equations (291) can reduce 296 to:
% 198.79/159.99 | (62) $false
% 198.79/159.99 |
% 198.79/159.99 |-The branch is then unsatisfiable
% 198.79/159.99 |-Branch two:
% 198.79/159.99 | (296) ~ (all_763_0_313 = 0)
% 198.79/159.99 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.79/159.99 |
% 198.79/159.99 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.79/159.99 | (291) all_763_0_313 = 0
% 198.79/159.99 |
% 198.79/159.99 | Equations (291) can reduce 296 to:
% 198.79/159.99 | (62) $false
% 198.79/159.99 |
% 198.79/159.99 |-The branch is then unsatisfiable
% 198.79/159.99 |-Branch two:
% 198.79/159.99 | (630) ~ (all_1037_0_1270 = 0) & greater_or_equal(all_1037_1_1271, all_33_1_35) = all_1037_0_1270 & end_time(all_33_4_38) = all_1037_1_1271
% 198.79/159.99 |
% 198.79/159.99 | Applying alpha-rule on (630) yields:
% 198.79/159.99 | (631) ~ (all_1037_0_1270 = 0)
% 198.79/160.00 | (632) greater_or_equal(all_1037_1_1271, all_33_1_35) = all_1037_0_1270
% 198.79/160.00 | (633) end_time(all_33_4_38) = all_1037_1_1271
% 198.79/160.00 |
% 198.79/160.00 | Instantiating formula (43) with all_33_4_38, all_1037_1_1271, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_1271, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.79/160.00 | (634) all_1037_1_1271 = all_33_1_35
% 198.79/160.00 |
% 198.79/160.00 | From (634) and (632) follows:
% 198.79/160.00 | (635) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1270
% 198.79/160.00 |
% 198.79/160.00 | Instantiating formula (34) with all_1037_0_1270, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1270, yields:
% 198.79/160.00 | (636) all_1037_0_1270 = 0
% 198.79/160.00 |
% 198.79/160.00 | Equations (636) can reduce 631 to:
% 198.79/160.00 | (62) $false
% 198.79/160.00 |
% 198.79/160.00 |-The branch is then unsatisfiable
% 198.79/160.00 |-Branch two:
% 198.79/160.00 | (638) ~ (all_1037_1_1271 = 0) & environment(all_33_4_38) = all_1037_1_1271
% 198.79/160.00 |
% 198.79/160.00 | Applying alpha-rule on (638) yields:
% 198.79/160.00 | (639) ~ (all_1037_1_1271 = 0)
% 198.79/160.00 | (640) environment(all_33_4_38) = all_1037_1_1271
% 198.79/160.00 |
% 198.79/160.00 | Instantiating formula (35) with all_33_4_38, all_1037_1_1271, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_1271, environment(all_33_4_38) = 0, yields:
% 198.79/160.00 | (622) all_1037_1_1271 = 0
% 198.79/160.00 |
% 198.79/160.00 | Equations (622) can reduce 639 to:
% 198.79/160.00 | (62) $false
% 198.79/160.00 |
% 198.79/160.00 |-The branch is then unsatisfiable
% 198.79/160.00 |-Branch two:
% 198.79/160.00 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.79/160.00 |
% 198.79/160.00 | Applying alpha-rule on (403) yields:
% 198.79/160.00 | (404) ~ (all_569_1_284 = 0)
% 198.79/160.00 | (405) environment(all_33_4_38) = all_569_1_284
% 198.79/160.00 |
% 198.79/160.00 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.79/160.00 | (406) all_569_1_284 = 0
% 198.79/160.00 |
% 198.79/160.00 | Equations (406) can reduce 404 to:
% 198.79/160.00 | (62) $false
% 198.79/160.00 |
% 198.79/160.00 |-The branch is then unsatisfiable
% 198.79/160.00 |-Branch two:
% 198.79/160.00 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 198.79/160.00 |
% 198.79/160.00 | Applying alpha-rule on (484) yields:
% 198.79/160.00 | (485) ~ (all_568_1_282 = 0)
% 198.79/160.00 | (486) environment(all_33_4_38) = all_568_1_282
% 198.79/160.00 |
% 198.79/160.00 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 198.79/160.00 | (487) all_568_1_282 = 0
% 198.79/160.00 |
% 198.79/160.00 | Equations (487) can reduce 485 to:
% 198.79/160.00 | (62) $false
% 198.79/160.00 |
% 198.79/160.00 |-The branch is then unsatisfiable
% 198.79/160.00 |-Branch two:
% 198.79/160.00 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 198.79/160.00 |
% 198.79/160.00 | Applying alpha-rule on (653) yields:
% 198.79/160.00 | (654) ~ (all_564_1_273 = 0)
% 198.79/160.00 | (655) environment(all_33_4_38) = all_564_1_273
% 198.79/160.00 |
% 198.79/160.00 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 198.79/160.00 | (656) all_564_1_273 = 0
% 198.79/160.00 |
% 198.79/160.00 | Equations (656) can reduce 654 to:
% 198.79/160.00 | (62) $false
% 198.79/160.00 |
% 198.79/160.00 |-The branch is then unsatisfiable
% 198.79/160.00 |-Branch two:
% 198.79/160.00 | (658) all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262
% 198.79/160.00 |
% 198.79/160.00 | Applying alpha-rule on (658) yields:
% 198.79/160.00 | (319) all_559_0_261 = 0
% 198.79/160.00 | (660) greater(all_60_2_75, all_559_1_262) = 0
% 198.79/160.00 | (321) end_time(all_33_4_38) = all_559_1_262
% 198.79/160.00 |
% 198.79/160.00 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.79/160.00 | (322) all_559_1_262 = all_33_1_35
% 198.79/160.00 |
% 198.79/160.00 | From (322) and (321) follows:
% 198.79/160.00 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.79/160.00 |
% 198.79/160.00 +-Applying beta-rule and splitting (276), into two cases.
% 198.79/160.00 |-Branch one:
% 198.79/160.00 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 198.79/160.00 |
% 198.79/160.00 +-Applying beta-rule and splitting (324), into two cases.
% 198.79/160.00 |-Branch one:
% 198.79/160.00 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 198.79/160.00 |
% 198.79/160.00 | Applying alpha-rule on (325) yields:
% 198.79/160.00 | (326) all_564_0_272 = 0
% 198.79/160.00 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 198.82/160.00 | (328) end_time(all_33_4_38) = all_564_1_273
% 198.82/160.00 |
% 198.82/160.00 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.82/160.00 | (329) all_564_1_273 = all_33_1_35
% 198.82/160.00 |
% 198.82/160.00 | From (329) and (328) follows:
% 198.82/160.00 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.82/160.00 |
% 198.82/160.00 +-Applying beta-rule and splitting (277), into two cases.
% 198.82/160.00 |-Branch one:
% 198.82/160.00 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 198.82/160.00 |
% 198.82/160.00 +-Applying beta-rule and splitting (331), into two cases.
% 198.82/160.00 |-Branch one:
% 198.82/160.00 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.82/160.00 |
% 198.82/160.00 | Applying alpha-rule on (332) yields:
% 198.82/160.00 | (333) all_568_0_281 = 0
% 198.82/160.00 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 198.82/160.00 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.82/160.00 |
% 198.82/160.00 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.82/160.00 | (336) all_568_1_282 = all_33_1_35
% 198.82/160.00 |
% 198.82/160.00 | From (336) and (335) follows:
% 198.82/160.00 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.82/160.00 |
% 198.82/160.00 +-Applying beta-rule and splitting (278), into two cases.
% 198.82/160.00 |-Branch one:
% 198.82/160.00 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.82/160.00 |
% 198.82/160.00 +-Applying beta-rule and splitting (338), into two cases.
% 198.82/160.00 |-Branch one:
% 198.82/160.00 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.82/160.00 |
% 198.82/160.00 | Applying alpha-rule on (339) yields:
% 198.82/160.00 | (340) all_569_0_283 = 0
% 198.82/160.00 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.82/160.00 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.82/160.00 |
% 198.82/160.00 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.82/160.00 | (343) all_569_1_284 = all_33_1_35
% 198.82/160.00 |
% 198.82/160.00 | From (343) and (342) follows:
% 198.82/160.00 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.82/160.00 |
% 198.82/160.00 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.82/160.00 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.82/160.00 |
% 198.82/160.00 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.82/160.00 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.82/160.00 |
% 198.82/160.00 | Instantiating (345) with all_1037_0_1421, all_1037_1_1422 yields:
% 198.82/160.00 | (687) (all_1037_1_1422 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1421 = 0) & greater_or_equal(all_1037_1_1422, all_33_1_35) = all_1037_0_1421 & end_time(all_33_4_38) = all_1037_1_1422) | ( ~ (all_1037_1_1422 = 0) & environment(all_33_4_38) = all_1037_1_1422)
% 198.82/160.00 |
% 198.82/160.00 +-Applying beta-rule and splitting (346), into two cases.
% 198.82/160.00 |-Branch one:
% 198.82/160.00 | (291) all_763_0_313 = 0
% 198.82/160.00 |
% 198.82/160.00 | Equations (291) can reduce 296 to:
% 198.82/160.00 | (62) $false
% 198.82/160.00 |
% 198.82/160.00 |-The branch is then unsatisfiable
% 198.82/160.00 |-Branch two:
% 198.82/160.00 | (296) ~ (all_763_0_313 = 0)
% 198.82/160.00 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.82/160.00 |
% 198.82/160.00 +-Applying beta-rule and splitting (687), into two cases.
% 198.82/160.00 |-Branch one:
% 198.82/160.00 | (692) (all_1037_1_1422 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1421 = 0) & greater_or_equal(all_1037_1_1422, all_33_1_35) = all_1037_0_1421 & end_time(all_33_4_38) = all_1037_1_1422)
% 198.82/160.00 |
% 198.82/160.00 +-Applying beta-rule and splitting (692), into two cases.
% 198.82/160.00 |-Branch one:
% 198.82/160.00 | (693) all_1037_1_1422 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.82/160.00 |
% 198.82/160.00 | Applying alpha-rule on (693) yields:
% 198.82/160.00 | (694) all_1037_1_1422 = 0
% 198.82/160.00 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.82/160.00 |
% 198.82/160.00 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.82/160.00 | (291) all_763_0_313 = 0
% 198.82/160.00 |
% 198.82/160.00 | Equations (291) can reduce 296 to:
% 198.82/160.00 | (62) $false
% 198.82/160.00 |
% 198.82/160.00 |-The branch is then unsatisfiable
% 198.82/160.00 |-Branch two:
% 198.82/160.00 | (698) ~ (all_1037_0_1421 = 0) & greater_or_equal(all_1037_1_1422, all_33_1_35) = all_1037_0_1421 & end_time(all_33_4_38) = all_1037_1_1422
% 198.82/160.00 |
% 198.82/160.00 | Applying alpha-rule on (698) yields:
% 198.82/160.00 | (699) ~ (all_1037_0_1421 = 0)
% 198.82/160.00 | (700) greater_or_equal(all_1037_1_1422, all_33_1_35) = all_1037_0_1421
% 198.82/160.00 | (701) end_time(all_33_4_38) = all_1037_1_1422
% 198.82/160.00 |
% 198.82/160.00 | Instantiating formula (43) with all_33_4_38, all_1037_1_1422, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_1422, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.82/160.00 | (702) all_1037_1_1422 = all_33_1_35
% 198.82/160.00 |
% 198.82/160.00 | From (702) and (700) follows:
% 198.82/160.00 | (703) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1421
% 198.82/160.00 |
% 198.82/160.00 | Instantiating formula (34) with all_1037_0_1421, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1421, yields:
% 198.82/160.00 | (704) all_1037_0_1421 = 0
% 198.82/160.00 |
% 198.82/160.00 | Equations (704) can reduce 699 to:
% 198.82/160.00 | (62) $false
% 198.82/160.00 |
% 198.82/160.00 |-The branch is then unsatisfiable
% 198.82/160.00 |-Branch two:
% 198.82/160.00 | (706) ~ (all_1037_1_1422 = 0) & environment(all_33_4_38) = all_1037_1_1422
% 198.82/160.00 |
% 198.82/160.00 | Applying alpha-rule on (706) yields:
% 198.82/160.00 | (707) ~ (all_1037_1_1422 = 0)
% 198.82/160.00 | (708) environment(all_33_4_38) = all_1037_1_1422
% 198.82/160.00 |
% 198.82/160.00 | Instantiating formula (35) with all_33_4_38, all_1037_1_1422, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_1422, environment(all_33_4_38) = 0, yields:
% 198.82/160.00 | (694) all_1037_1_1422 = 0
% 198.82/160.00 |
% 198.82/160.00 | Equations (694) can reduce 707 to:
% 198.82/160.00 | (62) $false
% 198.82/160.00 |
% 198.82/160.00 |-The branch is then unsatisfiable
% 198.82/160.00 |-Branch two:
% 198.82/160.01 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.82/160.01 |
% 198.82/160.01 | Applying alpha-rule on (371) yields:
% 198.82/160.01 | (340) all_569_0_283 = 0
% 198.82/160.01 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.82/160.01 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.82/160.01 |
% 198.82/160.01 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.82/160.01 | (343) all_569_1_284 = all_33_1_35
% 198.82/160.01 |
% 198.82/160.01 | From (343) and (342) follows:
% 198.82/160.01 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.01 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.01 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.01 |
% 198.85/160.01 | Instantiating (345) with all_1038_0_1494, all_1038_1_1495 yields:
% 198.85/160.01 | (719) (all_1038_1_1495 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_1494 = 0) & greater_or_equal(all_1038_1_1495, all_33_1_35) = all_1038_0_1494 & end_time(all_33_4_38) = all_1038_1_1495) | ( ~ (all_1038_1_1495 = 0) & environment(all_33_4_38) = all_1038_1_1495)
% 198.85/160.01 |
% 198.85/160.01 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.01 |-Branch one:
% 198.85/160.01 | (291) all_763_0_313 = 0
% 198.85/160.01 |
% 198.85/160.01 | Equations (291) can reduce 296 to:
% 198.85/160.01 | (62) $false
% 198.85/160.01 |
% 198.85/160.01 |-The branch is then unsatisfiable
% 198.85/160.01 |-Branch two:
% 198.85/160.01 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.01 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.01 |
% 198.85/160.01 +-Applying beta-rule and splitting (719), into two cases.
% 198.85/160.01 |-Branch one:
% 198.85/160.01 | (724) (all_1038_1_1495 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_1494 = 0) & greater_or_equal(all_1038_1_1495, all_33_1_35) = all_1038_0_1494 & end_time(all_33_4_38) = all_1038_1_1495)
% 198.85/160.01 |
% 198.85/160.01 +-Applying beta-rule and splitting (724), into two cases.
% 198.85/160.01 |-Branch one:
% 198.85/160.01 | (725) all_1038_1_1495 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.01 |
% 198.85/160.01 | Applying alpha-rule on (725) yields:
% 198.85/160.01 | (726) all_1038_1_1495 = 0
% 198.85/160.01 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.01 | (291) all_763_0_313 = 0
% 198.85/160.01 |
% 198.85/160.01 | Equations (291) can reduce 296 to:
% 198.85/160.01 | (62) $false
% 198.85/160.01 |
% 198.85/160.01 |-The branch is then unsatisfiable
% 198.85/160.01 |-Branch two:
% 198.85/160.01 | (730) ~ (all_1038_0_1494 = 0) & greater_or_equal(all_1038_1_1495, all_33_1_35) = all_1038_0_1494 & end_time(all_33_4_38) = all_1038_1_1495
% 198.85/160.01 |
% 198.85/160.01 | Applying alpha-rule on (730) yields:
% 198.85/160.01 | (731) ~ (all_1038_0_1494 = 0)
% 198.85/160.01 | (732) greater_or_equal(all_1038_1_1495, all_33_1_35) = all_1038_0_1494
% 198.85/160.01 | (733) end_time(all_33_4_38) = all_1038_1_1495
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (43) with all_33_4_38, all_1038_1_1495, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_1495, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.01 | (734) all_1038_1_1495 = all_33_1_35
% 198.85/160.01 |
% 198.85/160.01 | From (734) and (732) follows:
% 198.85/160.01 | (735) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_1494
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (34) with all_1038_0_1494, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_1494, yields:
% 198.85/160.01 | (736) all_1038_0_1494 = 0
% 198.85/160.01 |
% 198.85/160.01 | Equations (736) can reduce 731 to:
% 198.85/160.01 | (62) $false
% 198.85/160.01 |
% 198.85/160.01 |-The branch is then unsatisfiable
% 198.85/160.01 |-Branch two:
% 198.85/160.01 | (738) ~ (all_1038_1_1495 = 0) & environment(all_33_4_38) = all_1038_1_1495
% 198.85/160.01 |
% 198.85/160.01 | Applying alpha-rule on (738) yields:
% 198.85/160.01 | (739) ~ (all_1038_1_1495 = 0)
% 198.85/160.01 | (740) environment(all_33_4_38) = all_1038_1_1495
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (35) with all_33_4_38, all_1038_1_1495, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_1495, environment(all_33_4_38) = 0, yields:
% 198.85/160.01 | (726) all_1038_1_1495 = 0
% 198.85/160.01 |
% 198.85/160.01 | Equations (726) can reduce 739 to:
% 198.85/160.01 | (62) $false
% 198.85/160.01 |
% 198.85/160.01 |-The branch is then unsatisfiable
% 198.85/160.01 |-Branch two:
% 198.85/160.01 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.85/160.01 |
% 198.85/160.01 | Applying alpha-rule on (403) yields:
% 198.85/160.01 | (404) ~ (all_569_1_284 = 0)
% 198.85/160.01 | (405) environment(all_33_4_38) = all_569_1_284
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.85/160.01 | (406) all_569_1_284 = 0
% 198.85/160.01 |
% 198.85/160.01 | Equations (406) can reduce 404 to:
% 198.85/160.01 | (62) $false
% 198.85/160.01 |
% 198.85/160.01 |-The branch is then unsatisfiable
% 198.85/160.01 |-Branch two:
% 198.85/160.01 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.85/160.01 |
% 198.85/160.01 | Applying alpha-rule on (408) yields:
% 198.85/160.01 | (333) all_568_0_281 = 0
% 198.85/160.01 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 198.85/160.01 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.01 | (336) all_568_1_282 = all_33_1_35
% 198.85/160.01 |
% 198.85/160.01 | From (336) and (335) follows:
% 198.85/160.01 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.01 |
% 198.85/160.01 +-Applying beta-rule and splitting (278), into two cases.
% 198.85/160.01 |-Branch one:
% 198.85/160.01 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.85/160.01 |
% 198.85/160.01 +-Applying beta-rule and splitting (338), into two cases.
% 198.85/160.01 |-Branch one:
% 198.85/160.01 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.01 |
% 198.85/160.01 | Applying alpha-rule on (339) yields:
% 198.85/160.01 | (340) all_569_0_283 = 0
% 198.85/160.01 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.85/160.01 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.01 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.01 |
% 198.85/160.01 | From (343) and (342) follows:
% 198.85/160.01 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.01 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.01 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.01 |
% 198.85/160.01 | Instantiating (345) with all_1038_0_1564, all_1038_1_1565 yields:
% 198.85/160.01 | (763) (all_1038_1_1565 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_1564 = 0) & greater_or_equal(all_1038_1_1565, all_33_1_35) = all_1038_0_1564 & end_time(all_33_4_38) = all_1038_1_1565) | ( ~ (all_1038_1_1565 = 0) & environment(all_33_4_38) = all_1038_1_1565)
% 198.85/160.01 |
% 198.85/160.01 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.01 |-Branch one:
% 198.85/160.01 | (291) all_763_0_313 = 0
% 198.85/160.01 |
% 198.85/160.01 | Equations (291) can reduce 296 to:
% 198.85/160.01 | (62) $false
% 198.85/160.01 |
% 198.85/160.01 |-The branch is then unsatisfiable
% 198.85/160.01 |-Branch two:
% 198.85/160.01 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.01 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.01 |
% 198.85/160.01 +-Applying beta-rule and splitting (763), into two cases.
% 198.85/160.01 |-Branch one:
% 198.85/160.01 | (768) (all_1038_1_1565 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_1564 = 0) & greater_or_equal(all_1038_1_1565, all_33_1_35) = all_1038_0_1564 & end_time(all_33_4_38) = all_1038_1_1565)
% 198.85/160.01 |
% 198.85/160.01 +-Applying beta-rule and splitting (768), into two cases.
% 198.85/160.01 |-Branch one:
% 198.85/160.01 | (769) all_1038_1_1565 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.01 |
% 198.85/160.01 | Applying alpha-rule on (769) yields:
% 198.85/160.01 | (770) all_1038_1_1565 = 0
% 198.85/160.01 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.01 | (291) all_763_0_313 = 0
% 198.85/160.01 |
% 198.85/160.01 | Equations (291) can reduce 296 to:
% 198.85/160.01 | (62) $false
% 198.85/160.01 |
% 198.85/160.01 |-The branch is then unsatisfiable
% 198.85/160.01 |-Branch two:
% 198.85/160.01 | (774) ~ (all_1038_0_1564 = 0) & greater_or_equal(all_1038_1_1565, all_33_1_35) = all_1038_0_1564 & end_time(all_33_4_38) = all_1038_1_1565
% 198.85/160.01 |
% 198.85/160.01 | Applying alpha-rule on (774) yields:
% 198.85/160.01 | (775) ~ (all_1038_0_1564 = 0)
% 198.85/160.01 | (776) greater_or_equal(all_1038_1_1565, all_33_1_35) = all_1038_0_1564
% 198.85/160.01 | (777) end_time(all_33_4_38) = all_1038_1_1565
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (43) with all_33_4_38, all_1038_1_1565, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_1565, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.01 | (778) all_1038_1_1565 = all_33_1_35
% 198.85/160.01 |
% 198.85/160.01 | From (778) and (776) follows:
% 198.85/160.01 | (779) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_1564
% 198.85/160.01 |
% 198.85/160.01 | Instantiating formula (34) with all_1038_0_1564, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_1564, yields:
% 198.85/160.01 | (780) all_1038_0_1564 = 0
% 198.85/160.01 |
% 198.85/160.01 | Equations (780) can reduce 775 to:
% 198.85/160.01 | (62) $false
% 198.85/160.01 |
% 198.85/160.01 |-The branch is then unsatisfiable
% 198.85/160.01 |-Branch two:
% 198.85/160.01 | (782) ~ (all_1038_1_1565 = 0) & environment(all_33_4_38) = all_1038_1_1565
% 198.85/160.01 |
% 198.85/160.01 | Applying alpha-rule on (782) yields:
% 198.85/160.01 | (783) ~ (all_1038_1_1565 = 0)
% 198.85/160.02 | (784) environment(all_33_4_38) = all_1038_1_1565
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (35) with all_33_4_38, all_1038_1_1565, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_1565, environment(all_33_4_38) = 0, yields:
% 198.85/160.02 | (770) all_1038_1_1565 = 0
% 198.85/160.02 |
% 198.85/160.02 | Equations (770) can reduce 783 to:
% 198.85/160.02 | (62) $false
% 198.85/160.02 |
% 198.85/160.02 |-The branch is then unsatisfiable
% 198.85/160.02 |-Branch two:
% 198.85/160.02 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.02 |
% 198.85/160.02 | Applying alpha-rule on (371) yields:
% 198.85/160.02 | (340) all_569_0_283 = 0
% 198.85/160.02 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.85/160.02 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.02 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.02 |
% 198.85/160.02 | From (343) and (342) follows:
% 198.85/160.02 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.02 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.02 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.02 |
% 198.85/160.02 | Instantiating (345) with all_1037_0_1630, all_1037_1_1631 yields:
% 198.85/160.02 | (795) (all_1037_1_1631 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1630 = 0) & greater_or_equal(all_1037_1_1631, all_33_1_35) = all_1037_0_1630 & end_time(all_33_4_38) = all_1037_1_1631) | ( ~ (all_1037_1_1631 = 0) & environment(all_33_4_38) = all_1037_1_1631)
% 198.85/160.02 |
% 198.85/160.02 +-Applying beta-rule and splitting (795), into two cases.
% 198.85/160.02 |-Branch one:
% 198.85/160.02 | (796) (all_1037_1_1631 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1630 = 0) & greater_or_equal(all_1037_1_1631, all_33_1_35) = all_1037_0_1630 & end_time(all_33_4_38) = all_1037_1_1631)
% 198.85/160.02 |
% 198.85/160.02 +-Applying beta-rule and splitting (796), into two cases.
% 198.85/160.02 |-Branch one:
% 198.85/160.02 | (797) all_1037_1_1631 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.02 |
% 198.85/160.02 | Applying alpha-rule on (797) yields:
% 198.85/160.02 | (798) all_1037_1_1631 = 0
% 198.85/160.02 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.02 |
% 198.85/160.02 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.02 |-Branch one:
% 198.85/160.02 | (291) all_763_0_313 = 0
% 198.85/160.02 |
% 198.85/160.02 | Equations (291) can reduce 296 to:
% 198.85/160.02 | (62) $false
% 198.85/160.02 |
% 198.85/160.02 |-The branch is then unsatisfiable
% 198.85/160.02 |-Branch two:
% 198.85/160.02 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.02 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.02 | (291) all_763_0_313 = 0
% 198.85/160.02 |
% 198.85/160.02 | Equations (291) can reduce 296 to:
% 198.85/160.02 | (62) $false
% 198.85/160.02 |
% 198.85/160.02 |-The branch is then unsatisfiable
% 198.85/160.02 |-Branch two:
% 198.85/160.02 | (806) ~ (all_1037_0_1630 = 0) & greater_or_equal(all_1037_1_1631, all_33_1_35) = all_1037_0_1630 & end_time(all_33_4_38) = all_1037_1_1631
% 198.85/160.02 |
% 198.85/160.02 | Applying alpha-rule on (806) yields:
% 198.85/160.02 | (807) ~ (all_1037_0_1630 = 0)
% 198.85/160.02 | (808) greater_or_equal(all_1037_1_1631, all_33_1_35) = all_1037_0_1630
% 198.85/160.02 | (809) end_time(all_33_4_38) = all_1037_1_1631
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (43) with all_33_4_38, all_1037_1_1631, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_1631, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.02 | (810) all_1037_1_1631 = all_33_1_35
% 198.85/160.02 |
% 198.85/160.02 | From (810) and (808) follows:
% 198.85/160.02 | (811) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1630
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (34) with all_1037_0_1630, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1630, yields:
% 198.85/160.02 | (812) all_1037_0_1630 = 0
% 198.85/160.02 |
% 198.85/160.02 | Equations (812) can reduce 807 to:
% 198.85/160.02 | (62) $false
% 198.85/160.02 |
% 198.85/160.02 |-The branch is then unsatisfiable
% 198.85/160.02 |-Branch two:
% 198.85/160.02 | (814) ~ (all_1037_1_1631 = 0) & environment(all_33_4_38) = all_1037_1_1631
% 198.85/160.02 |
% 198.85/160.02 | Applying alpha-rule on (814) yields:
% 198.85/160.02 | (815) ~ (all_1037_1_1631 = 0)
% 198.85/160.02 | (816) environment(all_33_4_38) = all_1037_1_1631
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (35) with all_33_4_38, all_1037_1_1631, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_1631, environment(all_33_4_38) = 0, yields:
% 198.85/160.02 | (798) all_1037_1_1631 = 0
% 198.85/160.02 |
% 198.85/160.02 | Equations (798) can reduce 815 to:
% 198.85/160.02 | (62) $false
% 198.85/160.02 |
% 198.85/160.02 |-The branch is then unsatisfiable
% 198.85/160.02 |-Branch two:
% 198.85/160.02 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.85/160.02 |
% 198.85/160.02 | Applying alpha-rule on (403) yields:
% 198.85/160.02 | (404) ~ (all_569_1_284 = 0)
% 198.85/160.02 | (405) environment(all_33_4_38) = all_569_1_284
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.85/160.02 | (406) all_569_1_284 = 0
% 198.85/160.02 |
% 198.85/160.02 | Equations (406) can reduce 404 to:
% 198.85/160.02 | (62) $false
% 198.85/160.02 |
% 198.85/160.02 |-The branch is then unsatisfiable
% 198.85/160.02 |-Branch two:
% 198.85/160.02 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 198.85/160.02 |
% 198.85/160.02 | Applying alpha-rule on (484) yields:
% 198.85/160.02 | (485) ~ (all_568_1_282 = 0)
% 198.85/160.02 | (486) environment(all_33_4_38) = all_568_1_282
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 198.85/160.02 | (487) all_568_1_282 = 0
% 198.85/160.02 |
% 198.85/160.02 | Equations (487) can reduce 485 to:
% 198.85/160.02 | (62) $false
% 198.85/160.02 |
% 198.85/160.02 |-The branch is then unsatisfiable
% 198.85/160.02 |-Branch two:
% 198.85/160.02 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 198.85/160.02 |
% 198.85/160.02 | Applying alpha-rule on (489) yields:
% 198.85/160.02 | (326) all_564_0_272 = 0
% 198.85/160.02 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 198.85/160.02 | (328) end_time(all_33_4_38) = all_564_1_273
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.02 | (329) all_564_1_273 = all_33_1_35
% 198.85/160.02 |
% 198.85/160.02 | From (329) and (328) follows:
% 198.85/160.02 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.02 |
% 198.85/160.02 +-Applying beta-rule and splitting (277), into two cases.
% 198.85/160.02 |-Branch one:
% 198.85/160.02 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 198.85/160.02 |
% 198.85/160.02 +-Applying beta-rule and splitting (331), into two cases.
% 198.85/160.02 |-Branch one:
% 198.85/160.02 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.85/160.02 |
% 198.85/160.02 | Applying alpha-rule on (332) yields:
% 198.85/160.02 | (333) all_568_0_281 = 0
% 198.85/160.02 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 198.85/160.02 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.02 | (336) all_568_1_282 = all_33_1_35
% 198.85/160.02 |
% 198.85/160.02 | From (336) and (335) follows:
% 198.85/160.02 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.02 |
% 198.85/160.02 +-Applying beta-rule and splitting (278), into two cases.
% 198.85/160.02 |-Branch one:
% 198.85/160.02 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.85/160.02 |
% 198.85/160.02 +-Applying beta-rule and splitting (338), into two cases.
% 198.85/160.02 |-Branch one:
% 198.85/160.02 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.02 |
% 198.85/160.02 | Applying alpha-rule on (339) yields:
% 198.85/160.02 | (340) all_569_0_283 = 0
% 198.85/160.02 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.85/160.02 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.02 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.02 |
% 198.85/160.02 | From (343) and (342) follows:
% 198.85/160.02 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.02 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.02 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.02 |
% 198.85/160.02 | Instantiating (345) with all_1038_0_1708, all_1038_1_1709 yields:
% 198.85/160.02 | (851) (all_1038_1_1709 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_1708 = 0) & greater_or_equal(all_1038_1_1709, all_33_1_35) = all_1038_0_1708 & end_time(all_33_4_38) = all_1038_1_1709) | ( ~ (all_1038_1_1709 = 0) & environment(all_33_4_38) = all_1038_1_1709)
% 198.85/160.02 |
% 198.85/160.02 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.02 |-Branch one:
% 198.85/160.02 | (291) all_763_0_313 = 0
% 198.85/160.02 |
% 198.85/160.02 | Equations (291) can reduce 296 to:
% 198.85/160.02 | (62) $false
% 198.85/160.02 |
% 198.85/160.02 |-The branch is then unsatisfiable
% 198.85/160.02 |-Branch two:
% 198.85/160.02 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.02 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.02 |
% 198.85/160.02 +-Applying beta-rule and splitting (851), into two cases.
% 198.85/160.02 |-Branch one:
% 198.85/160.02 | (856) (all_1038_1_1709 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_1708 = 0) & greater_or_equal(all_1038_1_1709, all_33_1_35) = all_1038_0_1708 & end_time(all_33_4_38) = all_1038_1_1709)
% 198.85/160.02 |
% 198.85/160.02 +-Applying beta-rule and splitting (856), into two cases.
% 198.85/160.02 |-Branch one:
% 198.85/160.02 | (857) all_1038_1_1709 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.02 |
% 198.85/160.02 | Applying alpha-rule on (857) yields:
% 198.85/160.02 | (858) all_1038_1_1709 = 0
% 198.85/160.02 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.02 |
% 198.85/160.02 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.02 | (291) all_763_0_313 = 0
% 198.85/160.02 |
% 198.85/160.02 | Equations (291) can reduce 296 to:
% 198.85/160.02 | (62) $false
% 198.85/160.02 |
% 198.85/160.02 |-The branch is then unsatisfiable
% 198.85/160.02 |-Branch two:
% 198.85/160.02 | (862) ~ (all_1038_0_1708 = 0) & greater_or_equal(all_1038_1_1709, all_33_1_35) = all_1038_0_1708 & end_time(all_33_4_38) = all_1038_1_1709
% 198.85/160.03 |
% 198.85/160.03 | Applying alpha-rule on (862) yields:
% 198.85/160.03 | (863) ~ (all_1038_0_1708 = 0)
% 198.85/160.03 | (864) greater_or_equal(all_1038_1_1709, all_33_1_35) = all_1038_0_1708
% 198.85/160.03 | (865) end_time(all_33_4_38) = all_1038_1_1709
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (43) with all_33_4_38, all_1038_1_1709, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_1709, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.03 | (866) all_1038_1_1709 = all_33_1_35
% 198.85/160.03 |
% 198.85/160.03 | From (866) and (864) follows:
% 198.85/160.03 | (867) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_1708
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (34) with all_1038_0_1708, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_1708, yields:
% 198.85/160.03 | (868) all_1038_0_1708 = 0
% 198.85/160.03 |
% 198.85/160.03 | Equations (868) can reduce 863 to:
% 198.85/160.03 | (62) $false
% 198.85/160.03 |
% 198.85/160.03 |-The branch is then unsatisfiable
% 198.85/160.03 |-Branch two:
% 198.85/160.03 | (870) ~ (all_1038_1_1709 = 0) & environment(all_33_4_38) = all_1038_1_1709
% 198.85/160.03 |
% 198.85/160.03 | Applying alpha-rule on (870) yields:
% 198.85/160.03 | (871) ~ (all_1038_1_1709 = 0)
% 198.85/160.03 | (872) environment(all_33_4_38) = all_1038_1_1709
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (35) with all_33_4_38, all_1038_1_1709, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_1709, environment(all_33_4_38) = 0, yields:
% 198.85/160.03 | (858) all_1038_1_1709 = 0
% 198.85/160.03 |
% 198.85/160.03 | Equations (858) can reduce 871 to:
% 198.85/160.03 | (62) $false
% 198.85/160.03 |
% 198.85/160.03 |-The branch is then unsatisfiable
% 198.85/160.03 |-Branch two:
% 198.85/160.03 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.03 |
% 198.85/160.03 | Applying alpha-rule on (371) yields:
% 198.85/160.03 | (340) all_569_0_283 = 0
% 198.85/160.03 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.85/160.03 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.03 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.03 |
% 198.85/160.03 | From (343) and (342) follows:
% 198.85/160.03 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.03 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.03 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.03 |
% 198.85/160.03 | Instantiating (345) with all_1037_0_1774, all_1037_1_1775 yields:
% 198.85/160.03 | (883) (all_1037_1_1775 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1774 = 0) & greater_or_equal(all_1037_1_1775, all_33_1_35) = all_1037_0_1774 & end_time(all_33_4_38) = all_1037_1_1775) | ( ~ (all_1037_1_1775 = 0) & environment(all_33_4_38) = all_1037_1_1775)
% 198.85/160.03 |
% 198.85/160.03 +-Applying beta-rule and splitting (883), into two cases.
% 198.85/160.03 |-Branch one:
% 198.85/160.03 | (884) (all_1037_1_1775 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1774 = 0) & greater_or_equal(all_1037_1_1775, all_33_1_35) = all_1037_0_1774 & end_time(all_33_4_38) = all_1037_1_1775)
% 198.85/160.03 |
% 198.85/160.03 +-Applying beta-rule and splitting (884), into two cases.
% 198.85/160.03 |-Branch one:
% 198.85/160.03 | (885) all_1037_1_1775 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.03 |
% 198.85/160.03 | Applying alpha-rule on (885) yields:
% 198.85/160.03 | (886) all_1037_1_1775 = 0
% 198.85/160.03 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.03 |
% 198.85/160.03 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.03 |-Branch one:
% 198.85/160.03 | (291) all_763_0_313 = 0
% 198.85/160.03 |
% 198.85/160.03 | Equations (291) can reduce 296 to:
% 198.85/160.03 | (62) $false
% 198.85/160.03 |
% 198.85/160.03 |-The branch is then unsatisfiable
% 198.85/160.03 |-Branch two:
% 198.85/160.03 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.03 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.03 | (291) all_763_0_313 = 0
% 198.85/160.03 |
% 198.85/160.03 | Equations (291) can reduce 296 to:
% 198.85/160.03 | (62) $false
% 198.85/160.03 |
% 198.85/160.03 |-The branch is then unsatisfiable
% 198.85/160.03 |-Branch two:
% 198.85/160.03 | (894) ~ (all_1037_0_1774 = 0) & greater_or_equal(all_1037_1_1775, all_33_1_35) = all_1037_0_1774 & end_time(all_33_4_38) = all_1037_1_1775
% 198.85/160.03 |
% 198.85/160.03 | Applying alpha-rule on (894) yields:
% 198.85/160.03 | (895) ~ (all_1037_0_1774 = 0)
% 198.85/160.03 | (896) greater_or_equal(all_1037_1_1775, all_33_1_35) = all_1037_0_1774
% 198.85/160.03 | (897) end_time(all_33_4_38) = all_1037_1_1775
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (43) with all_33_4_38, all_1037_1_1775, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_1775, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.03 | (898) all_1037_1_1775 = all_33_1_35
% 198.85/160.03 |
% 198.85/160.03 | From (898) and (896) follows:
% 198.85/160.03 | (899) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1774
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (34) with all_1037_0_1774, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1774, yields:
% 198.85/160.03 | (900) all_1037_0_1774 = 0
% 198.85/160.03 |
% 198.85/160.03 | Equations (900) can reduce 895 to:
% 198.85/160.03 | (62) $false
% 198.85/160.03 |
% 198.85/160.03 |-The branch is then unsatisfiable
% 198.85/160.03 |-Branch two:
% 198.85/160.03 | (902) ~ (all_1037_1_1775 = 0) & environment(all_33_4_38) = all_1037_1_1775
% 198.85/160.03 |
% 198.85/160.03 | Applying alpha-rule on (902) yields:
% 198.85/160.03 | (903) ~ (all_1037_1_1775 = 0)
% 198.85/160.03 | (904) environment(all_33_4_38) = all_1037_1_1775
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (35) with all_33_4_38, all_1037_1_1775, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_1775, environment(all_33_4_38) = 0, yields:
% 198.85/160.03 | (886) all_1037_1_1775 = 0
% 198.85/160.03 |
% 198.85/160.03 | Equations (886) can reduce 903 to:
% 198.85/160.03 | (62) $false
% 198.85/160.03 |
% 198.85/160.03 |-The branch is then unsatisfiable
% 198.85/160.03 |-Branch two:
% 198.85/160.03 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.85/160.03 |
% 198.85/160.03 | Applying alpha-rule on (403) yields:
% 198.85/160.03 | (404) ~ (all_569_1_284 = 0)
% 198.85/160.03 | (405) environment(all_33_4_38) = all_569_1_284
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.85/160.03 | (406) all_569_1_284 = 0
% 198.85/160.03 |
% 198.85/160.03 | Equations (406) can reduce 404 to:
% 198.85/160.03 | (62) $false
% 198.85/160.03 |
% 198.85/160.03 |-The branch is then unsatisfiable
% 198.85/160.03 |-Branch two:
% 198.85/160.03 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.85/160.03 |
% 198.85/160.03 | Applying alpha-rule on (408) yields:
% 198.85/160.03 | (333) all_568_0_281 = 0
% 198.85/160.03 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 198.85/160.03 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.03 | (336) all_568_1_282 = all_33_1_35
% 198.85/160.03 |
% 198.85/160.03 | From (336) and (335) follows:
% 198.85/160.03 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.03 |
% 198.85/160.03 +-Applying beta-rule and splitting (278), into two cases.
% 198.85/160.03 |-Branch one:
% 198.85/160.03 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.85/160.03 |
% 198.85/160.03 +-Applying beta-rule and splitting (338), into two cases.
% 198.85/160.03 |-Branch one:
% 198.85/160.03 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.03 |
% 198.85/160.03 | Applying alpha-rule on (339) yields:
% 198.85/160.03 | (340) all_569_0_283 = 0
% 198.85/160.03 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.85/160.03 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.03 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.03 |
% 198.85/160.03 | From (343) and (342) follows:
% 198.85/160.03 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.03 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.03 |
% 198.85/160.03 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.03 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.03 |
% 198.85/160.03 | Instantiating (345) with all_1037_0_1848, all_1037_1_1849 yields:
% 198.85/160.03 | (927) (all_1037_1_1849 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1848 = 0) & greater_or_equal(all_1037_1_1849, all_33_1_35) = all_1037_0_1848 & end_time(all_33_4_38) = all_1037_1_1849) | ( ~ (all_1037_1_1849 = 0) & environment(all_33_4_38) = all_1037_1_1849)
% 198.85/160.03 |
% 198.85/160.03 +-Applying beta-rule and splitting (927), into two cases.
% 198.85/160.03 |-Branch one:
% 198.85/160.03 | (928) (all_1037_1_1849 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_1848 = 0) & greater_or_equal(all_1037_1_1849, all_33_1_35) = all_1037_0_1848 & end_time(all_33_4_38) = all_1037_1_1849)
% 198.85/160.03 |
% 198.85/160.03 +-Applying beta-rule and splitting (928), into two cases.
% 198.85/160.03 |-Branch one:
% 198.85/160.03 | (929) all_1037_1_1849 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.03 |
% 198.85/160.03 | Applying alpha-rule on (929) yields:
% 198.85/160.03 | (930) all_1037_1_1849 = 0
% 198.85/160.03 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.03 |
% 198.85/160.03 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.03 |-Branch one:
% 198.85/160.03 | (291) all_763_0_313 = 0
% 198.85/160.03 |
% 198.85/160.03 | Equations (291) can reduce 296 to:
% 198.85/160.03 | (62) $false
% 198.85/160.03 |
% 198.85/160.03 |-The branch is then unsatisfiable
% 198.85/160.03 |-Branch two:
% 198.85/160.03 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.03 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.04 | (291) all_763_0_313 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (291) can reduce 296 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (938) ~ (all_1037_0_1848 = 0) & greater_or_equal(all_1037_1_1849, all_33_1_35) = all_1037_0_1848 & end_time(all_33_4_38) = all_1037_1_1849
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (938) yields:
% 198.85/160.04 | (939) ~ (all_1037_0_1848 = 0)
% 198.85/160.04 | (940) greater_or_equal(all_1037_1_1849, all_33_1_35) = all_1037_0_1848
% 198.85/160.04 | (941) end_time(all_33_4_38) = all_1037_1_1849
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (43) with all_33_4_38, all_1037_1_1849, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_1849, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.04 | (942) all_1037_1_1849 = all_33_1_35
% 198.85/160.04 |
% 198.85/160.04 | From (942) and (940) follows:
% 198.85/160.04 | (943) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1848
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (34) with all_1037_0_1848, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_1848, yields:
% 198.85/160.04 | (944) all_1037_0_1848 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (944) can reduce 939 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (946) ~ (all_1037_1_1849 = 0) & environment(all_33_4_38) = all_1037_1_1849
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (946) yields:
% 198.85/160.04 | (947) ~ (all_1037_1_1849 = 0)
% 198.85/160.04 | (948) environment(all_33_4_38) = all_1037_1_1849
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (35) with all_33_4_38, all_1037_1_1849, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_1849, environment(all_33_4_38) = 0, yields:
% 198.85/160.04 | (930) all_1037_1_1849 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (930) can reduce 947 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (371) yields:
% 198.85/160.04 | (340) all_569_0_283 = 0
% 198.85/160.04 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.85/160.04 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.04 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.04 |
% 198.85/160.04 | From (343) and (342) follows:
% 198.85/160.04 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.04 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.04 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.04 |
% 198.85/160.04 | Instantiating (345) with all_1033_0_1914, all_1033_1_1915 yields:
% 198.85/160.04 | (959) (all_1033_1_1915 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_1914 = 0) & greater_or_equal(all_1033_1_1915, all_33_1_35) = all_1033_0_1914 & end_time(all_33_4_38) = all_1033_1_1915) | ( ~ (all_1033_1_1915 = 0) & environment(all_33_4_38) = all_1033_1_1915)
% 198.85/160.04 |
% 198.85/160.04 +-Applying beta-rule and splitting (959), into two cases.
% 198.85/160.04 |-Branch one:
% 198.85/160.04 | (960) (all_1033_1_1915 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_1914 = 0) & greater_or_equal(all_1033_1_1915, all_33_1_35) = all_1033_0_1914 & end_time(all_33_4_38) = all_1033_1_1915)
% 198.85/160.04 |
% 198.85/160.04 +-Applying beta-rule and splitting (960), into two cases.
% 198.85/160.04 |-Branch one:
% 198.85/160.04 | (961) all_1033_1_1915 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (961) yields:
% 198.85/160.04 | (962) all_1033_1_1915 = 0
% 198.85/160.04 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.04 |
% 198.85/160.04 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.04 |-Branch one:
% 198.85/160.04 | (291) all_763_0_313 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (291) can reduce 296 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.04 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.04 | (291) all_763_0_313 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (291) can reduce 296 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (970) ~ (all_1033_0_1914 = 0) & greater_or_equal(all_1033_1_1915, all_33_1_35) = all_1033_0_1914 & end_time(all_33_4_38) = all_1033_1_1915
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (970) yields:
% 198.85/160.04 | (971) ~ (all_1033_0_1914 = 0)
% 198.85/160.04 | (972) greater_or_equal(all_1033_1_1915, all_33_1_35) = all_1033_0_1914
% 198.85/160.04 | (973) end_time(all_33_4_38) = all_1033_1_1915
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (43) with all_33_4_38, all_1033_1_1915, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_1915, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.04 | (974) all_1033_1_1915 = all_33_1_35
% 198.85/160.04 |
% 198.85/160.04 | From (974) and (972) follows:
% 198.85/160.04 | (975) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_1914
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (34) with all_1033_0_1914, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_1914, yields:
% 198.85/160.04 | (976) all_1033_0_1914 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (976) can reduce 971 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (978) ~ (all_1033_1_1915 = 0) & environment(all_33_4_38) = all_1033_1_1915
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (978) yields:
% 198.85/160.04 | (979) ~ (all_1033_1_1915 = 0)
% 198.85/160.04 | (980) environment(all_33_4_38) = all_1033_1_1915
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (35) with all_33_4_38, all_1033_1_1915, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_1915, environment(all_33_4_38) = 0, yields:
% 198.85/160.04 | (962) all_1033_1_1915 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (962) can reduce 979 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (403) yields:
% 198.85/160.04 | (404) ~ (all_569_1_284 = 0)
% 198.85/160.04 | (405) environment(all_33_4_38) = all_569_1_284
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.85/160.04 | (406) all_569_1_284 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (406) can reduce 404 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (484) yields:
% 198.85/160.04 | (485) ~ (all_568_1_282 = 0)
% 198.85/160.04 | (486) environment(all_33_4_38) = all_568_1_282
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 198.85/160.04 | (487) all_568_1_282 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (487) can reduce 485 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (653) yields:
% 198.85/160.04 | (654) ~ (all_564_1_273 = 0)
% 198.85/160.04 | (655) environment(all_33_4_38) = all_564_1_273
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 198.85/160.04 | (656) all_564_1_273 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (656) can reduce 654 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (998) ~ (all_559_1_262 = 0) & environment(all_33_4_38) = all_559_1_262
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (998) yields:
% 198.85/160.04 | (999) ~ (all_559_1_262 = 0)
% 198.85/160.04 | (1000) environment(all_33_4_38) = all_559_1_262
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (35) with all_33_4_38, all_559_1_262, 0 and discharging atoms environment(all_33_4_38) = all_559_1_262, environment(all_33_4_38) = 0, yields:
% 198.85/160.04 | (1001) all_559_1_262 = 0
% 198.85/160.04 |
% 198.85/160.04 | Equations (1001) can reduce 999 to:
% 198.85/160.04 | (62) $false
% 198.85/160.04 |
% 198.85/160.04 |-The branch is then unsatisfiable
% 198.85/160.04 |-Branch two:
% 198.85/160.04 | (1003) all_557_0_257 = 0 & greater(all_135_2_141, all_557_1_258) = 0 & end_time(all_33_4_38) = all_557_1_258
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (1003) yields:
% 198.85/160.04 | (312) all_557_0_257 = 0
% 198.85/160.04 | (1005) greater(all_135_2_141, all_557_1_258) = 0
% 198.85/160.04 | (314) end_time(all_33_4_38) = all_557_1_258
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (43) with all_33_4_38, all_557_1_258, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_557_1_258, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.04 | (315) all_557_1_258 = all_33_1_35
% 198.85/160.04 |
% 198.85/160.04 | From (315) and (314) follows:
% 198.85/160.04 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.04 |
% 198.85/160.04 +-Applying beta-rule and splitting (275), into two cases.
% 198.85/160.04 |-Branch one:
% 198.85/160.04 | (317) (all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262) | (all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262)
% 198.85/160.04 |
% 198.85/160.04 +-Applying beta-rule and splitting (317), into two cases.
% 198.85/160.04 |-Branch one:
% 198.85/160.04 | (318) all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (318) yields:
% 198.85/160.04 | (319) all_559_0_261 = 0
% 198.85/160.04 | (320) greater_or_equal(all_559_1_262, all_60_2_75) = 0
% 198.85/160.04 | (321) end_time(all_33_4_38) = all_559_1_262
% 198.85/160.04 |
% 198.85/160.04 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.04 | (322) all_559_1_262 = all_33_1_35
% 198.85/160.04 |
% 198.85/160.04 | From (322) and (321) follows:
% 198.85/160.04 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.04 |
% 198.85/160.04 +-Applying beta-rule and splitting (276), into two cases.
% 198.85/160.04 |-Branch one:
% 198.85/160.04 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 198.85/160.04 |
% 198.85/160.04 +-Applying beta-rule and splitting (324), into two cases.
% 198.85/160.04 |-Branch one:
% 198.85/160.04 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 198.85/160.04 |
% 198.85/160.04 | Applying alpha-rule on (325) yields:
% 198.85/160.04 | (326) all_564_0_272 = 0
% 198.85/160.04 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 198.85/160.05 | (328) end_time(all_33_4_38) = all_564_1_273
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.05 | (329) all_564_1_273 = all_33_1_35
% 198.85/160.05 |
% 198.85/160.05 | From (329) and (328) follows:
% 198.85/160.05 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.05 |
% 198.85/160.05 +-Applying beta-rule and splitting (277), into two cases.
% 198.85/160.05 |-Branch one:
% 198.85/160.05 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 198.85/160.05 |
% 198.85/160.05 +-Applying beta-rule and splitting (331), into two cases.
% 198.85/160.05 |-Branch one:
% 198.85/160.05 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.85/160.05 |
% 198.85/160.05 | Applying alpha-rule on (332) yields:
% 198.85/160.05 | (333) all_568_0_281 = 0
% 198.85/160.05 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 198.85/160.05 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.05 | (336) all_568_1_282 = all_33_1_35
% 198.85/160.05 |
% 198.85/160.05 | From (336) and (335) follows:
% 198.85/160.05 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.05 |
% 198.85/160.05 +-Applying beta-rule and splitting (278), into two cases.
% 198.85/160.05 |-Branch one:
% 198.85/160.05 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.85/160.05 |
% 198.85/160.05 +-Applying beta-rule and splitting (338), into two cases.
% 198.85/160.05 |-Branch one:
% 198.85/160.05 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.05 |
% 198.85/160.05 | Applying alpha-rule on (339) yields:
% 198.85/160.05 | (340) all_569_0_283 = 0
% 198.85/160.05 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.85/160.05 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.05 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.05 |
% 198.85/160.05 | From (343) and (342) follows:
% 198.85/160.05 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.05 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.05 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.05 |
% 198.85/160.05 | Instantiating (345) with all_1037_0_2071, all_1037_1_2072 yields:
% 198.85/160.05 | (1039) (all_1037_1_2072 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2071 = 0) & greater_or_equal(all_1037_1_2072, all_33_1_35) = all_1037_0_2071 & end_time(all_33_4_38) = all_1037_1_2072) | ( ~ (all_1037_1_2072 = 0) & environment(all_33_4_38) = all_1037_1_2072)
% 198.85/160.05 |
% 198.85/160.05 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.05 |-Branch one:
% 198.85/160.05 | (291) all_763_0_313 = 0
% 198.85/160.05 |
% 198.85/160.05 | Equations (291) can reduce 296 to:
% 198.85/160.05 | (62) $false
% 198.85/160.05 |
% 198.85/160.05 |-The branch is then unsatisfiable
% 198.85/160.05 |-Branch two:
% 198.85/160.05 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.05 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.05 |
% 198.85/160.05 +-Applying beta-rule and splitting (1039), into two cases.
% 198.85/160.05 |-Branch one:
% 198.85/160.05 | (1044) (all_1037_1_2072 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2071 = 0) & greater_or_equal(all_1037_1_2072, all_33_1_35) = all_1037_0_2071 & end_time(all_33_4_38) = all_1037_1_2072)
% 198.85/160.05 |
% 198.85/160.05 +-Applying beta-rule and splitting (1044), into two cases.
% 198.85/160.05 |-Branch one:
% 198.85/160.05 | (1045) all_1037_1_2072 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.05 |
% 198.85/160.05 | Applying alpha-rule on (1045) yields:
% 198.85/160.05 | (1046) all_1037_1_2072 = 0
% 198.85/160.05 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.05 | (291) all_763_0_313 = 0
% 198.85/160.05 |
% 198.85/160.05 | Equations (291) can reduce 296 to:
% 198.85/160.05 | (62) $false
% 198.85/160.05 |
% 198.85/160.05 |-The branch is then unsatisfiable
% 198.85/160.05 |-Branch two:
% 198.85/160.05 | (1050) ~ (all_1037_0_2071 = 0) & greater_or_equal(all_1037_1_2072, all_33_1_35) = all_1037_0_2071 & end_time(all_33_4_38) = all_1037_1_2072
% 198.85/160.05 |
% 198.85/160.05 | Applying alpha-rule on (1050) yields:
% 198.85/160.05 | (1051) ~ (all_1037_0_2071 = 0)
% 198.85/160.05 | (1052) greater_or_equal(all_1037_1_2072, all_33_1_35) = all_1037_0_2071
% 198.85/160.05 | (1053) end_time(all_33_4_38) = all_1037_1_2072
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (43) with all_33_4_38, all_1037_1_2072, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_2072, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.05 | (1054) all_1037_1_2072 = all_33_1_35
% 198.85/160.05 |
% 198.85/160.05 | From (1054) and (1052) follows:
% 198.85/160.05 | (1055) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2071
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (34) with all_1037_0_2071, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2071, yields:
% 198.85/160.05 | (1056) all_1037_0_2071 = 0
% 198.85/160.05 |
% 198.85/160.05 | Equations (1056) can reduce 1051 to:
% 198.85/160.05 | (62) $false
% 198.85/160.05 |
% 198.85/160.05 |-The branch is then unsatisfiable
% 198.85/160.05 |-Branch two:
% 198.85/160.05 | (1058) ~ (all_1037_1_2072 = 0) & environment(all_33_4_38) = all_1037_1_2072
% 198.85/160.05 |
% 198.85/160.05 | Applying alpha-rule on (1058) yields:
% 198.85/160.05 | (1059) ~ (all_1037_1_2072 = 0)
% 198.85/160.05 | (1060) environment(all_33_4_38) = all_1037_1_2072
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (35) with all_33_4_38, all_1037_1_2072, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_2072, environment(all_33_4_38) = 0, yields:
% 198.85/160.05 | (1046) all_1037_1_2072 = 0
% 198.85/160.05 |
% 198.85/160.05 | Equations (1046) can reduce 1059 to:
% 198.85/160.05 | (62) $false
% 198.85/160.05 |
% 198.85/160.05 |-The branch is then unsatisfiable
% 198.85/160.05 |-Branch two:
% 198.85/160.05 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.05 |
% 198.85/160.05 | Applying alpha-rule on (371) yields:
% 198.85/160.05 | (340) all_569_0_283 = 0
% 198.85/160.05 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.85/160.05 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.05 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.05 |
% 198.85/160.05 | From (343) and (342) follows:
% 198.85/160.05 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.05 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.05 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.05 |
% 198.85/160.05 | Instantiating (345) with all_1038_0_2144, all_1038_1_2145 yields:
% 198.85/160.05 | (1071) (all_1038_1_2145 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_2144 = 0) & greater_or_equal(all_1038_1_2145, all_33_1_35) = all_1038_0_2144 & end_time(all_33_4_38) = all_1038_1_2145) | ( ~ (all_1038_1_2145 = 0) & environment(all_33_4_38) = all_1038_1_2145)
% 198.85/160.05 |
% 198.85/160.05 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.05 |-Branch one:
% 198.85/160.05 | (291) all_763_0_313 = 0
% 198.85/160.05 |
% 198.85/160.05 | Equations (291) can reduce 296 to:
% 198.85/160.05 | (62) $false
% 198.85/160.05 |
% 198.85/160.05 |-The branch is then unsatisfiable
% 198.85/160.05 |-Branch two:
% 198.85/160.05 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.05 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.05 |
% 198.85/160.05 +-Applying beta-rule and splitting (1071), into two cases.
% 198.85/160.05 |-Branch one:
% 198.85/160.05 | (1076) (all_1038_1_2145 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_2144 = 0) & greater_or_equal(all_1038_1_2145, all_33_1_35) = all_1038_0_2144 & end_time(all_33_4_38) = all_1038_1_2145)
% 198.85/160.05 |
% 198.85/160.05 +-Applying beta-rule and splitting (1076), into two cases.
% 198.85/160.05 |-Branch one:
% 198.85/160.05 | (1077) all_1038_1_2145 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.05 |
% 198.85/160.05 | Applying alpha-rule on (1077) yields:
% 198.85/160.05 | (1078) all_1038_1_2145 = 0
% 198.85/160.05 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.05 | (291) all_763_0_313 = 0
% 198.85/160.05 |
% 198.85/160.05 | Equations (291) can reduce 296 to:
% 198.85/160.05 | (62) $false
% 198.85/160.05 |
% 198.85/160.05 |-The branch is then unsatisfiable
% 198.85/160.05 |-Branch two:
% 198.85/160.05 | (1082) ~ (all_1038_0_2144 = 0) & greater_or_equal(all_1038_1_2145, all_33_1_35) = all_1038_0_2144 & end_time(all_33_4_38) = all_1038_1_2145
% 198.85/160.05 |
% 198.85/160.05 | Applying alpha-rule on (1082) yields:
% 198.85/160.05 | (1083) ~ (all_1038_0_2144 = 0)
% 198.85/160.05 | (1084) greater_or_equal(all_1038_1_2145, all_33_1_35) = all_1038_0_2144
% 198.85/160.05 | (1085) end_time(all_33_4_38) = all_1038_1_2145
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (43) with all_33_4_38, all_1038_1_2145, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_2145, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.05 | (1086) all_1038_1_2145 = all_33_1_35
% 198.85/160.05 |
% 198.85/160.05 | From (1086) and (1084) follows:
% 198.85/160.05 | (1087) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_2144
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (34) with all_1038_0_2144, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_2144, yields:
% 198.85/160.05 | (1088) all_1038_0_2144 = 0
% 198.85/160.05 |
% 198.85/160.05 | Equations (1088) can reduce 1083 to:
% 198.85/160.05 | (62) $false
% 198.85/160.05 |
% 198.85/160.05 |-The branch is then unsatisfiable
% 198.85/160.05 |-Branch two:
% 198.85/160.05 | (1090) ~ (all_1038_1_2145 = 0) & environment(all_33_4_38) = all_1038_1_2145
% 198.85/160.05 |
% 198.85/160.05 | Applying alpha-rule on (1090) yields:
% 198.85/160.05 | (1091) ~ (all_1038_1_2145 = 0)
% 198.85/160.05 | (1092) environment(all_33_4_38) = all_1038_1_2145
% 198.85/160.05 |
% 198.85/160.05 | Instantiating formula (35) with all_33_4_38, all_1038_1_2145, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_2145, environment(all_33_4_38) = 0, yields:
% 198.85/160.05 | (1078) all_1038_1_2145 = 0
% 198.85/160.05 |
% 198.85/160.06 | Equations (1078) can reduce 1091 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (403) yields:
% 198.85/160.06 | (404) ~ (all_569_1_284 = 0)
% 198.85/160.06 | (405) environment(all_33_4_38) = all_569_1_284
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.85/160.06 | (406) all_569_1_284 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (406) can reduce 404 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (408) yields:
% 198.85/160.06 | (333) all_568_0_281 = 0
% 198.85/160.06 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 198.85/160.06 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.06 | (336) all_568_1_282 = all_33_1_35
% 198.85/160.06 |
% 198.85/160.06 | From (336) and (335) follows:
% 198.85/160.06 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.06 |
% 198.85/160.06 +-Applying beta-rule and splitting (278), into two cases.
% 198.85/160.06 |-Branch one:
% 198.85/160.06 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.85/160.06 |
% 198.85/160.06 +-Applying beta-rule and splitting (338), into two cases.
% 198.85/160.06 |-Branch one:
% 198.85/160.06 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (339) yields:
% 198.85/160.06 | (340) all_569_0_283 = 0
% 198.85/160.06 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.85/160.06 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.06 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.06 |
% 198.85/160.06 | From (343) and (342) follows:
% 198.85/160.06 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.06 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.06 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.06 |
% 198.85/160.06 | Instantiating (345) with all_1038_0_2214, all_1038_1_2215 yields:
% 198.85/160.06 | (1115) (all_1038_1_2215 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_2214 = 0) & greater_or_equal(all_1038_1_2215, all_33_1_35) = all_1038_0_2214 & end_time(all_33_4_38) = all_1038_1_2215) | ( ~ (all_1038_1_2215 = 0) & environment(all_33_4_38) = all_1038_1_2215)
% 198.85/160.06 |
% 198.85/160.06 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.06 |-Branch one:
% 198.85/160.06 | (291) all_763_0_313 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (291) can reduce 296 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.06 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.06 |
% 198.85/160.06 +-Applying beta-rule and splitting (1115), into two cases.
% 198.85/160.06 |-Branch one:
% 198.85/160.06 | (1120) (all_1038_1_2215 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_2214 = 0) & greater_or_equal(all_1038_1_2215, all_33_1_35) = all_1038_0_2214 & end_time(all_33_4_38) = all_1038_1_2215)
% 198.85/160.06 |
% 198.85/160.06 +-Applying beta-rule and splitting (1120), into two cases.
% 198.85/160.06 |-Branch one:
% 198.85/160.06 | (1121) all_1038_1_2215 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (1121) yields:
% 198.85/160.06 | (1122) all_1038_1_2215 = 0
% 198.85/160.06 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.06 | (291) all_763_0_313 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (291) can reduce 296 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (1126) ~ (all_1038_0_2214 = 0) & greater_or_equal(all_1038_1_2215, all_33_1_35) = all_1038_0_2214 & end_time(all_33_4_38) = all_1038_1_2215
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (1126) yields:
% 198.85/160.06 | (1127) ~ (all_1038_0_2214 = 0)
% 198.85/160.06 | (1128) greater_or_equal(all_1038_1_2215, all_33_1_35) = all_1038_0_2214
% 198.85/160.06 | (1129) end_time(all_33_4_38) = all_1038_1_2215
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (43) with all_33_4_38, all_1038_1_2215, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_2215, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.06 | (1130) all_1038_1_2215 = all_33_1_35
% 198.85/160.06 |
% 198.85/160.06 | From (1130) and (1128) follows:
% 198.85/160.06 | (1131) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_2214
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (34) with all_1038_0_2214, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_2214, yields:
% 198.85/160.06 | (1132) all_1038_0_2214 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (1132) can reduce 1127 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (1134) ~ (all_1038_1_2215 = 0) & environment(all_33_4_38) = all_1038_1_2215
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (1134) yields:
% 198.85/160.06 | (1135) ~ (all_1038_1_2215 = 0)
% 198.85/160.06 | (1136) environment(all_33_4_38) = all_1038_1_2215
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (35) with all_33_4_38, all_1038_1_2215, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_2215, environment(all_33_4_38) = 0, yields:
% 198.85/160.06 | (1122) all_1038_1_2215 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (1122) can reduce 1135 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (371) yields:
% 198.85/160.06 | (340) all_569_0_283 = 0
% 198.85/160.06 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.85/160.06 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.06 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.06 |
% 198.85/160.06 | From (343) and (342) follows:
% 198.85/160.06 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.06 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.06 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.06 |
% 198.85/160.06 | Instantiating (345) with all_1037_0_2280, all_1037_1_2281 yields:
% 198.85/160.06 | (1147) (all_1037_1_2281 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2280 = 0) & greater_or_equal(all_1037_1_2281, all_33_1_35) = all_1037_0_2280 & end_time(all_33_4_38) = all_1037_1_2281) | ( ~ (all_1037_1_2281 = 0) & environment(all_33_4_38) = all_1037_1_2281)
% 198.85/160.06 |
% 198.85/160.06 +-Applying beta-rule and splitting (1147), into two cases.
% 198.85/160.06 |-Branch one:
% 198.85/160.06 | (1148) (all_1037_1_2281 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2280 = 0) & greater_or_equal(all_1037_1_2281, all_33_1_35) = all_1037_0_2280 & end_time(all_33_4_38) = all_1037_1_2281)
% 198.85/160.06 |
% 198.85/160.06 +-Applying beta-rule and splitting (1148), into two cases.
% 198.85/160.06 |-Branch one:
% 198.85/160.06 | (1149) all_1037_1_2281 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (1149) yields:
% 198.85/160.06 | (1150) all_1037_1_2281 = 0
% 198.85/160.06 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.06 |
% 198.85/160.06 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.06 |-Branch one:
% 198.85/160.06 | (291) all_763_0_313 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (291) can reduce 296 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.06 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.06 | (291) all_763_0_313 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (291) can reduce 296 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (1158) ~ (all_1037_0_2280 = 0) & greater_or_equal(all_1037_1_2281, all_33_1_35) = all_1037_0_2280 & end_time(all_33_4_38) = all_1037_1_2281
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (1158) yields:
% 198.85/160.06 | (1159) ~ (all_1037_0_2280 = 0)
% 198.85/160.06 | (1160) greater_or_equal(all_1037_1_2281, all_33_1_35) = all_1037_0_2280
% 198.85/160.06 | (1161) end_time(all_33_4_38) = all_1037_1_2281
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (43) with all_33_4_38, all_1037_1_2281, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_2281, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.06 | (1162) all_1037_1_2281 = all_33_1_35
% 198.85/160.06 |
% 198.85/160.06 | From (1162) and (1160) follows:
% 198.85/160.06 | (1163) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2280
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (34) with all_1037_0_2280, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2280, yields:
% 198.85/160.06 | (1164) all_1037_0_2280 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (1164) can reduce 1159 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (1166) ~ (all_1037_1_2281 = 0) & environment(all_33_4_38) = all_1037_1_2281
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (1166) yields:
% 198.85/160.06 | (1167) ~ (all_1037_1_2281 = 0)
% 198.85/160.06 | (1168) environment(all_33_4_38) = all_1037_1_2281
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (35) with all_33_4_38, all_1037_1_2281, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_2281, environment(all_33_4_38) = 0, yields:
% 198.85/160.06 | (1150) all_1037_1_2281 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (1150) can reduce 1167 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (403) yields:
% 198.85/160.06 | (404) ~ (all_569_1_284 = 0)
% 198.85/160.06 | (405) environment(all_33_4_38) = all_569_1_284
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.85/160.06 | (406) all_569_1_284 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (406) can reduce 404 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.06 |-Branch two:
% 198.85/160.06 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 198.85/160.06 |
% 198.85/160.06 | Applying alpha-rule on (484) yields:
% 198.85/160.06 | (485) ~ (all_568_1_282 = 0)
% 198.85/160.06 | (486) environment(all_33_4_38) = all_568_1_282
% 198.85/160.06 |
% 198.85/160.06 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 198.85/160.06 | (487) all_568_1_282 = 0
% 198.85/160.06 |
% 198.85/160.06 | Equations (487) can reduce 485 to:
% 198.85/160.06 | (62) $false
% 198.85/160.06 |
% 198.85/160.06 |-The branch is then unsatisfiable
% 198.85/160.07 |-Branch two:
% 198.85/160.07 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (489) yields:
% 198.85/160.07 | (326) all_564_0_272 = 0
% 198.85/160.07 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 198.85/160.07 | (328) end_time(all_33_4_38) = all_564_1_273
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.07 | (329) all_564_1_273 = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 | From (329) and (328) follows:
% 198.85/160.07 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (277), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (331), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (332) yields:
% 198.85/160.07 | (333) all_568_0_281 = 0
% 198.85/160.07 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 198.85/160.07 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.07 | (336) all_568_1_282 = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 | From (336) and (335) follows:
% 198.85/160.07 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (278), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (338), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (339) yields:
% 198.85/160.07 | (340) all_569_0_283 = 0
% 198.85/160.07 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.85/160.07 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.07 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 | From (343) and (342) follows:
% 198.85/160.07 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.07 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.07 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.07 |
% 198.85/160.07 | Instantiating (345) with all_1038_0_2358, all_1038_1_2359 yields:
% 198.85/160.07 | (1203) (all_1038_1_2359 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_2358 = 0) & greater_or_equal(all_1038_1_2359, all_33_1_35) = all_1038_0_2358 & end_time(all_33_4_38) = all_1038_1_2359) | ( ~ (all_1038_1_2359 = 0) & environment(all_33_4_38) = all_1038_1_2359)
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (291) all_763_0_313 = 0
% 198.85/160.07 |
% 198.85/160.07 | Equations (291) can reduce 296 to:
% 198.85/160.07 | (62) $false
% 198.85/160.07 |
% 198.85/160.07 |-The branch is then unsatisfiable
% 198.85/160.07 |-Branch two:
% 198.85/160.07 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.07 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (1203), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (1208) (all_1038_1_2359 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_2358 = 0) & greater_or_equal(all_1038_1_2359, all_33_1_35) = all_1038_0_2358 & end_time(all_33_4_38) = all_1038_1_2359)
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (1208), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (1209) all_1038_1_2359 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (1209) yields:
% 198.85/160.07 | (1210) all_1038_1_2359 = 0
% 198.85/160.07 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.07 | (291) all_763_0_313 = 0
% 198.85/160.07 |
% 198.85/160.07 | Equations (291) can reduce 296 to:
% 198.85/160.07 | (62) $false
% 198.85/160.07 |
% 198.85/160.07 |-The branch is then unsatisfiable
% 198.85/160.07 |-Branch two:
% 198.85/160.07 | (1214) ~ (all_1038_0_2358 = 0) & greater_or_equal(all_1038_1_2359, all_33_1_35) = all_1038_0_2358 & end_time(all_33_4_38) = all_1038_1_2359
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (1214) yields:
% 198.85/160.07 | (1215) ~ (all_1038_0_2358 = 0)
% 198.85/160.07 | (1216) greater_or_equal(all_1038_1_2359, all_33_1_35) = all_1038_0_2358
% 198.85/160.07 | (1217) end_time(all_33_4_38) = all_1038_1_2359
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (43) with all_33_4_38, all_1038_1_2359, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_2359, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.07 | (1218) all_1038_1_2359 = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 | From (1218) and (1216) follows:
% 198.85/160.07 | (1219) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_2358
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (34) with all_1038_0_2358, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_2358, yields:
% 198.85/160.07 | (1220) all_1038_0_2358 = 0
% 198.85/160.07 |
% 198.85/160.07 | Equations (1220) can reduce 1215 to:
% 198.85/160.07 | (62) $false
% 198.85/160.07 |
% 198.85/160.07 |-The branch is then unsatisfiable
% 198.85/160.07 |-Branch two:
% 198.85/160.07 | (1222) ~ (all_1038_1_2359 = 0) & environment(all_33_4_38) = all_1038_1_2359
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (1222) yields:
% 198.85/160.07 | (1223) ~ (all_1038_1_2359 = 0)
% 198.85/160.07 | (1224) environment(all_33_4_38) = all_1038_1_2359
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (35) with all_33_4_38, all_1038_1_2359, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_2359, environment(all_33_4_38) = 0, yields:
% 198.85/160.07 | (1210) all_1038_1_2359 = 0
% 198.85/160.07 |
% 198.85/160.07 | Equations (1210) can reduce 1223 to:
% 198.85/160.07 | (62) $false
% 198.85/160.07 |
% 198.85/160.07 |-The branch is then unsatisfiable
% 198.85/160.07 |-Branch two:
% 198.85/160.07 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (371) yields:
% 198.85/160.07 | (340) all_569_0_283 = 0
% 198.85/160.07 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.85/160.07 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.07 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 | From (343) and (342) follows:
% 198.85/160.07 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.07 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.07 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.07 |
% 198.85/160.07 | Instantiating (345) with all_1037_0_2424, all_1037_1_2425 yields:
% 198.85/160.07 | (1235) (all_1037_1_2425 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2424 = 0) & greater_or_equal(all_1037_1_2425, all_33_1_35) = all_1037_0_2424 & end_time(all_33_4_38) = all_1037_1_2425) | ( ~ (all_1037_1_2425 = 0) & environment(all_33_4_38) = all_1037_1_2425)
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (1235), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (1236) (all_1037_1_2425 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2424 = 0) & greater_or_equal(all_1037_1_2425, all_33_1_35) = all_1037_0_2424 & end_time(all_33_4_38) = all_1037_1_2425)
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (1236), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (1237) all_1037_1_2425 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (1237) yields:
% 198.85/160.07 | (1238) all_1037_1_2425 = 0
% 198.85/160.07 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (291) all_763_0_313 = 0
% 198.85/160.07 |
% 198.85/160.07 | Equations (291) can reduce 296 to:
% 198.85/160.07 | (62) $false
% 198.85/160.07 |
% 198.85/160.07 |-The branch is then unsatisfiable
% 198.85/160.07 |-Branch two:
% 198.85/160.07 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.07 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.07 | (291) all_763_0_313 = 0
% 198.85/160.07 |
% 198.85/160.07 | Equations (291) can reduce 296 to:
% 198.85/160.07 | (62) $false
% 198.85/160.07 |
% 198.85/160.07 |-The branch is then unsatisfiable
% 198.85/160.07 |-Branch two:
% 198.85/160.07 | (1246) ~ (all_1037_0_2424 = 0) & greater_or_equal(all_1037_1_2425, all_33_1_35) = all_1037_0_2424 & end_time(all_33_4_38) = all_1037_1_2425
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (1246) yields:
% 198.85/160.07 | (1247) ~ (all_1037_0_2424 = 0)
% 198.85/160.07 | (1248) greater_or_equal(all_1037_1_2425, all_33_1_35) = all_1037_0_2424
% 198.85/160.07 | (1249) end_time(all_33_4_38) = all_1037_1_2425
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (43) with all_33_4_38, all_1037_1_2425, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_2425, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.07 | (1250) all_1037_1_2425 = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 | From (1250) and (1248) follows:
% 198.85/160.07 | (1251) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2424
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (34) with all_1037_0_2424, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2424, yields:
% 198.85/160.07 | (1252) all_1037_0_2424 = 0
% 198.85/160.07 |
% 198.85/160.07 | Equations (1252) can reduce 1247 to:
% 198.85/160.07 | (62) $false
% 198.85/160.07 |
% 198.85/160.07 |-The branch is then unsatisfiable
% 198.85/160.07 |-Branch two:
% 198.85/160.07 | (1254) ~ (all_1037_1_2425 = 0) & environment(all_33_4_38) = all_1037_1_2425
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (1254) yields:
% 198.85/160.07 | (1255) ~ (all_1037_1_2425 = 0)
% 198.85/160.07 | (1256) environment(all_33_4_38) = all_1037_1_2425
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (35) with all_33_4_38, all_1037_1_2425, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_2425, environment(all_33_4_38) = 0, yields:
% 198.85/160.07 | (1238) all_1037_1_2425 = 0
% 198.85/160.07 |
% 198.85/160.07 | Equations (1238) can reduce 1255 to:
% 198.85/160.07 | (62) $false
% 198.85/160.07 |
% 198.85/160.07 |-The branch is then unsatisfiable
% 198.85/160.07 |-Branch two:
% 198.85/160.07 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (403) yields:
% 198.85/160.07 | (404) ~ (all_569_1_284 = 0)
% 198.85/160.07 | (405) environment(all_33_4_38) = all_569_1_284
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.85/160.07 | (406) all_569_1_284 = 0
% 198.85/160.07 |
% 198.85/160.07 | Equations (406) can reduce 404 to:
% 198.85/160.07 | (62) $false
% 198.85/160.07 |
% 198.85/160.07 |-The branch is then unsatisfiable
% 198.85/160.07 |-Branch two:
% 198.85/160.07 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.85/160.07 |
% 198.85/160.07 | Applying alpha-rule on (408) yields:
% 198.85/160.07 | (333) all_568_0_281 = 0
% 198.85/160.07 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 198.85/160.07 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.85/160.07 |
% 198.85/160.07 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.07 | (336) all_568_1_282 = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 | From (336) and (335) follows:
% 198.85/160.07 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.07 |
% 198.85/160.07 +-Applying beta-rule and splitting (278), into two cases.
% 198.85/160.07 |-Branch one:
% 198.85/160.07 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.85/160.08 |
% 198.85/160.08 +-Applying beta-rule and splitting (338), into two cases.
% 198.85/160.08 |-Branch one:
% 198.85/160.08 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (339) yields:
% 198.85/160.08 | (340) all_569_0_283 = 0
% 198.85/160.08 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.85/160.08 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.08 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.08 |
% 198.85/160.08 | From (343) and (342) follows:
% 198.85/160.08 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.08 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.08 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.08 |
% 198.85/160.08 | Instantiating (345) with all_1037_0_2498, all_1037_1_2499 yields:
% 198.85/160.08 | (1279) (all_1037_1_2499 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2498 = 0) & greater_or_equal(all_1037_1_2499, all_33_1_35) = all_1037_0_2498 & end_time(all_33_4_38) = all_1037_1_2499) | ( ~ (all_1037_1_2499 = 0) & environment(all_33_4_38) = all_1037_1_2499)
% 198.85/160.08 |
% 198.85/160.08 +-Applying beta-rule and splitting (1279), into two cases.
% 198.85/160.08 |-Branch one:
% 198.85/160.08 | (1280) (all_1037_1_2499 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2498 = 0) & greater_or_equal(all_1037_1_2499, all_33_1_35) = all_1037_0_2498 & end_time(all_33_4_38) = all_1037_1_2499)
% 198.85/160.08 |
% 198.85/160.08 +-Applying beta-rule and splitting (1280), into two cases.
% 198.85/160.08 |-Branch one:
% 198.85/160.08 | (1281) all_1037_1_2499 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (1281) yields:
% 198.85/160.08 | (1282) all_1037_1_2499 = 0
% 198.85/160.08 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.08 |
% 198.85/160.08 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.08 |-Branch one:
% 198.85/160.08 | (291) all_763_0_313 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (291) can reduce 296 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.08 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.08 | (291) all_763_0_313 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (291) can reduce 296 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (1290) ~ (all_1037_0_2498 = 0) & greater_or_equal(all_1037_1_2499, all_33_1_35) = all_1037_0_2498 & end_time(all_33_4_38) = all_1037_1_2499
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (1290) yields:
% 198.85/160.08 | (1291) ~ (all_1037_0_2498 = 0)
% 198.85/160.08 | (1292) greater_or_equal(all_1037_1_2499, all_33_1_35) = all_1037_0_2498
% 198.85/160.08 | (1293) end_time(all_33_4_38) = all_1037_1_2499
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (43) with all_33_4_38, all_1037_1_2499, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_2499, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.08 | (1294) all_1037_1_2499 = all_33_1_35
% 198.85/160.08 |
% 198.85/160.08 | From (1294) and (1292) follows:
% 198.85/160.08 | (1295) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2498
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (34) with all_1037_0_2498, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2498, yields:
% 198.85/160.08 | (1296) all_1037_0_2498 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (1296) can reduce 1291 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (1298) ~ (all_1037_1_2499 = 0) & environment(all_33_4_38) = all_1037_1_2499
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (1298) yields:
% 198.85/160.08 | (1299) ~ (all_1037_1_2499 = 0)
% 198.85/160.08 | (1300) environment(all_33_4_38) = all_1037_1_2499
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (35) with all_33_4_38, all_1037_1_2499, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_2499, environment(all_33_4_38) = 0, yields:
% 198.85/160.08 | (1282) all_1037_1_2499 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (1282) can reduce 1299 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (371) yields:
% 198.85/160.08 | (340) all_569_0_283 = 0
% 198.85/160.08 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.85/160.08 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.08 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.08 |
% 198.85/160.08 | From (343) and (342) follows:
% 198.85/160.08 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.08 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.08 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.08 |
% 198.85/160.08 | Instantiating (345) with all_1033_0_2564, all_1033_1_2565 yields:
% 198.85/160.08 | (1311) (all_1033_1_2565 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_2564 = 0) & greater_or_equal(all_1033_1_2565, all_33_1_35) = all_1033_0_2564 & end_time(all_33_4_38) = all_1033_1_2565) | ( ~ (all_1033_1_2565 = 0) & environment(all_33_4_38) = all_1033_1_2565)
% 198.85/160.08 |
% 198.85/160.08 +-Applying beta-rule and splitting (1311), into two cases.
% 198.85/160.08 |-Branch one:
% 198.85/160.08 | (1312) (all_1033_1_2565 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_2564 = 0) & greater_or_equal(all_1033_1_2565, all_33_1_35) = all_1033_0_2564 & end_time(all_33_4_38) = all_1033_1_2565)
% 198.85/160.08 |
% 198.85/160.08 +-Applying beta-rule and splitting (1312), into two cases.
% 198.85/160.08 |-Branch one:
% 198.85/160.08 | (1313) all_1033_1_2565 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (1313) yields:
% 198.85/160.08 | (1314) all_1033_1_2565 = 0
% 198.85/160.08 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.08 |
% 198.85/160.08 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.08 |-Branch one:
% 198.85/160.08 | (291) all_763_0_313 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (291) can reduce 296 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.08 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.08 | (291) all_763_0_313 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (291) can reduce 296 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (1322) ~ (all_1033_0_2564 = 0) & greater_or_equal(all_1033_1_2565, all_33_1_35) = all_1033_0_2564 & end_time(all_33_4_38) = all_1033_1_2565
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (1322) yields:
% 198.85/160.08 | (1323) ~ (all_1033_0_2564 = 0)
% 198.85/160.08 | (1324) greater_or_equal(all_1033_1_2565, all_33_1_35) = all_1033_0_2564
% 198.85/160.08 | (1325) end_time(all_33_4_38) = all_1033_1_2565
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (43) with all_33_4_38, all_1033_1_2565, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_2565, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.08 | (1326) all_1033_1_2565 = all_33_1_35
% 198.85/160.08 |
% 198.85/160.08 | From (1326) and (1324) follows:
% 198.85/160.08 | (1327) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_2564
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (34) with all_1033_0_2564, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_2564, yields:
% 198.85/160.08 | (1328) all_1033_0_2564 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (1328) can reduce 1323 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (1330) ~ (all_1033_1_2565 = 0) & environment(all_33_4_38) = all_1033_1_2565
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (1330) yields:
% 198.85/160.08 | (1331) ~ (all_1033_1_2565 = 0)
% 198.85/160.08 | (1332) environment(all_33_4_38) = all_1033_1_2565
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (35) with all_33_4_38, all_1033_1_2565, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_2565, environment(all_33_4_38) = 0, yields:
% 198.85/160.08 | (1314) all_1033_1_2565 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (1314) can reduce 1331 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (403) yields:
% 198.85/160.08 | (404) ~ (all_569_1_284 = 0)
% 198.85/160.08 | (405) environment(all_33_4_38) = all_569_1_284
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.85/160.08 | (406) all_569_1_284 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (406) can reduce 404 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (484) yields:
% 198.85/160.08 | (485) ~ (all_568_1_282 = 0)
% 198.85/160.08 | (486) environment(all_33_4_38) = all_568_1_282
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 198.85/160.08 | (487) all_568_1_282 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (487) can reduce 485 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (653) yields:
% 198.85/160.08 | (654) ~ (all_564_1_273 = 0)
% 198.85/160.08 | (655) environment(all_33_4_38) = all_564_1_273
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 198.85/160.08 | (656) all_564_1_273 = 0
% 198.85/160.08 |
% 198.85/160.08 | Equations (656) can reduce 654 to:
% 198.85/160.08 | (62) $false
% 198.85/160.08 |
% 198.85/160.08 |-The branch is then unsatisfiable
% 198.85/160.08 |-Branch two:
% 198.85/160.08 | (658) all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262
% 198.85/160.08 |
% 198.85/160.08 | Applying alpha-rule on (658) yields:
% 198.85/160.08 | (319) all_559_0_261 = 0
% 198.85/160.08 | (660) greater(all_60_2_75, all_559_1_262) = 0
% 198.85/160.08 | (321) end_time(all_33_4_38) = all_559_1_262
% 198.85/160.08 |
% 198.85/160.08 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.08 | (322) all_559_1_262 = all_33_1_35
% 198.85/160.08 |
% 198.85/160.08 | From (322) and (321) follows:
% 198.85/160.08 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.08 |
% 198.85/160.08 +-Applying beta-rule and splitting (276), into two cases.
% 198.85/160.08 |-Branch one:
% 198.85/160.08 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (324), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (325) yields:
% 198.85/160.09 | (326) all_564_0_272 = 0
% 198.85/160.09 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 198.85/160.09 | (328) end_time(all_33_4_38) = all_564_1_273
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.09 | (329) all_564_1_273 = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 | From (329) and (328) follows:
% 198.85/160.09 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (277), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (331), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (332) yields:
% 198.85/160.09 | (333) all_568_0_281 = 0
% 198.85/160.09 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 198.85/160.09 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.09 | (336) all_568_1_282 = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 | From (336) and (335) follows:
% 198.85/160.09 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (278), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (338), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (339) yields:
% 198.85/160.09 | (340) all_569_0_283 = 0
% 198.85/160.09 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.85/160.09 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.09 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 | From (343) and (342) follows:
% 198.85/160.09 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.09 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.09 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.09 |
% 198.85/160.09 | Instantiating (345) with all_1038_0_2648, all_1038_1_2649 yields:
% 198.85/160.09 | (1379) (all_1038_1_2649 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_2648 = 0) & greater_or_equal(all_1038_1_2649, all_33_1_35) = all_1038_0_2648 & end_time(all_33_4_38) = all_1038_1_2649) | ( ~ (all_1038_1_2649 = 0) & environment(all_33_4_38) = all_1038_1_2649)
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (291) all_763_0_313 = 0
% 198.85/160.09 |
% 198.85/160.09 | Equations (291) can reduce 296 to:
% 198.85/160.09 | (62) $false
% 198.85/160.09 |
% 198.85/160.09 |-The branch is then unsatisfiable
% 198.85/160.09 |-Branch two:
% 198.85/160.09 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.09 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (1379), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (1384) (all_1038_1_2649 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_2648 = 0) & greater_or_equal(all_1038_1_2649, all_33_1_35) = all_1038_0_2648 & end_time(all_33_4_38) = all_1038_1_2649)
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (1384), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (1385) all_1038_1_2649 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (1385) yields:
% 198.85/160.09 | (1386) all_1038_1_2649 = 0
% 198.85/160.09 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.09 | (291) all_763_0_313 = 0
% 198.85/160.09 |
% 198.85/160.09 | Equations (291) can reduce 296 to:
% 198.85/160.09 | (62) $false
% 198.85/160.09 |
% 198.85/160.09 |-The branch is then unsatisfiable
% 198.85/160.09 |-Branch two:
% 198.85/160.09 | (1390) ~ (all_1038_0_2648 = 0) & greater_or_equal(all_1038_1_2649, all_33_1_35) = all_1038_0_2648 & end_time(all_33_4_38) = all_1038_1_2649
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (1390) yields:
% 198.85/160.09 | (1391) ~ (all_1038_0_2648 = 0)
% 198.85/160.09 | (1392) greater_or_equal(all_1038_1_2649, all_33_1_35) = all_1038_0_2648
% 198.85/160.09 | (1393) end_time(all_33_4_38) = all_1038_1_2649
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (43) with all_33_4_38, all_1038_1_2649, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_2649, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.09 | (1394) all_1038_1_2649 = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 | From (1394) and (1392) follows:
% 198.85/160.09 | (1395) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_2648
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (34) with all_1038_0_2648, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_2648, yields:
% 198.85/160.09 | (1396) all_1038_0_2648 = 0
% 198.85/160.09 |
% 198.85/160.09 | Equations (1396) can reduce 1391 to:
% 198.85/160.09 | (62) $false
% 198.85/160.09 |
% 198.85/160.09 |-The branch is then unsatisfiable
% 198.85/160.09 |-Branch two:
% 198.85/160.09 | (1398) ~ (all_1038_1_2649 = 0) & environment(all_33_4_38) = all_1038_1_2649
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (1398) yields:
% 198.85/160.09 | (1399) ~ (all_1038_1_2649 = 0)
% 198.85/160.09 | (1400) environment(all_33_4_38) = all_1038_1_2649
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (35) with all_33_4_38, all_1038_1_2649, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_2649, environment(all_33_4_38) = 0, yields:
% 198.85/160.09 | (1386) all_1038_1_2649 = 0
% 198.85/160.09 |
% 198.85/160.09 | Equations (1386) can reduce 1399 to:
% 198.85/160.09 | (62) $false
% 198.85/160.09 |
% 198.85/160.09 |-The branch is then unsatisfiable
% 198.85/160.09 |-Branch two:
% 198.85/160.09 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (371) yields:
% 198.85/160.09 | (340) all_569_0_283 = 0
% 198.85/160.09 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.85/160.09 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.09 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 | From (343) and (342) follows:
% 198.85/160.09 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.09 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.09 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.09 |
% 198.85/160.09 | Instantiating (345) with all_1037_0_2714, all_1037_1_2715 yields:
% 198.85/160.09 | (1411) (all_1037_1_2715 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2714 = 0) & greater_or_equal(all_1037_1_2715, all_33_1_35) = all_1037_0_2714 & end_time(all_33_4_38) = all_1037_1_2715) | ( ~ (all_1037_1_2715 = 0) & environment(all_33_4_38) = all_1037_1_2715)
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (1411), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (1412) (all_1037_1_2715 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2714 = 0) & greater_or_equal(all_1037_1_2715, all_33_1_35) = all_1037_0_2714 & end_time(all_33_4_38) = all_1037_1_2715)
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (1412), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (1413) all_1037_1_2715 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (1413) yields:
% 198.85/160.09 | (1414) all_1037_1_2715 = 0
% 198.85/160.09 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (291) all_763_0_313 = 0
% 198.85/160.09 |
% 198.85/160.09 | Equations (291) can reduce 296 to:
% 198.85/160.09 | (62) $false
% 198.85/160.09 |
% 198.85/160.09 |-The branch is then unsatisfiable
% 198.85/160.09 |-Branch two:
% 198.85/160.09 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.09 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.09 | (291) all_763_0_313 = 0
% 198.85/160.09 |
% 198.85/160.09 | Equations (291) can reduce 296 to:
% 198.85/160.09 | (62) $false
% 198.85/160.09 |
% 198.85/160.09 |-The branch is then unsatisfiable
% 198.85/160.09 |-Branch two:
% 198.85/160.09 | (1422) ~ (all_1037_0_2714 = 0) & greater_or_equal(all_1037_1_2715, all_33_1_35) = all_1037_0_2714 & end_time(all_33_4_38) = all_1037_1_2715
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (1422) yields:
% 198.85/160.09 | (1423) ~ (all_1037_0_2714 = 0)
% 198.85/160.09 | (1424) greater_or_equal(all_1037_1_2715, all_33_1_35) = all_1037_0_2714
% 198.85/160.09 | (1425) end_time(all_33_4_38) = all_1037_1_2715
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (43) with all_33_4_38, all_1037_1_2715, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_2715, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.09 | (1426) all_1037_1_2715 = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 | From (1426) and (1424) follows:
% 198.85/160.09 | (1427) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2714
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (34) with all_1037_0_2714, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2714, yields:
% 198.85/160.09 | (1428) all_1037_0_2714 = 0
% 198.85/160.09 |
% 198.85/160.09 | Equations (1428) can reduce 1423 to:
% 198.85/160.09 | (62) $false
% 198.85/160.09 |
% 198.85/160.09 |-The branch is then unsatisfiable
% 198.85/160.09 |-Branch two:
% 198.85/160.09 | (1430) ~ (all_1037_1_2715 = 0) & environment(all_33_4_38) = all_1037_1_2715
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (1430) yields:
% 198.85/160.09 | (1431) ~ (all_1037_1_2715 = 0)
% 198.85/160.09 | (1432) environment(all_33_4_38) = all_1037_1_2715
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (35) with all_33_4_38, all_1037_1_2715, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_2715, environment(all_33_4_38) = 0, yields:
% 198.85/160.09 | (1414) all_1037_1_2715 = 0
% 198.85/160.09 |
% 198.85/160.09 | Equations (1414) can reduce 1431 to:
% 198.85/160.09 | (62) $false
% 198.85/160.09 |
% 198.85/160.09 |-The branch is then unsatisfiable
% 198.85/160.09 |-Branch two:
% 198.85/160.09 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (403) yields:
% 198.85/160.09 | (404) ~ (all_569_1_284 = 0)
% 198.85/160.09 | (405) environment(all_33_4_38) = all_569_1_284
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 198.85/160.09 | (406) all_569_1_284 = 0
% 198.85/160.09 |
% 198.85/160.09 | Equations (406) can reduce 404 to:
% 198.85/160.09 | (62) $false
% 198.85/160.09 |
% 198.85/160.09 |-The branch is then unsatisfiable
% 198.85/160.09 |-Branch two:
% 198.85/160.09 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (408) yields:
% 198.85/160.09 | (333) all_568_0_281 = 0
% 198.85/160.09 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 198.85/160.09 | (335) end_time(all_33_4_38) = all_568_1_282
% 198.85/160.09 |
% 198.85/160.09 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.09 | (336) all_568_1_282 = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 | From (336) and (335) follows:
% 198.85/160.09 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (278), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 198.85/160.09 |
% 198.85/160.09 +-Applying beta-rule and splitting (338), into two cases.
% 198.85/160.09 |-Branch one:
% 198.85/160.09 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.09 |
% 198.85/160.09 | Applying alpha-rule on (339) yields:
% 198.85/160.09 | (340) all_569_0_283 = 0
% 198.85/160.09 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 198.85/160.10 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.10 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.10 |
% 198.85/160.10 | From (343) and (342) follows:
% 198.85/160.10 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.10 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.10 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.10 |
% 198.85/160.10 | Instantiating (345) with all_1037_0_2788, all_1037_1_2789 yields:
% 198.85/160.10 | (1455) (all_1037_1_2789 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2788 = 0) & greater_or_equal(all_1037_1_2789, all_33_1_35) = all_1037_0_2788 & end_time(all_33_4_38) = all_1037_1_2789) | ( ~ (all_1037_1_2789 = 0) & environment(all_33_4_38) = all_1037_1_2789)
% 198.85/160.10 |
% 198.85/160.10 +-Applying beta-rule and splitting (1455), into two cases.
% 198.85/160.10 |-Branch one:
% 198.85/160.10 | (1456) (all_1037_1_2789 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2788 = 0) & greater_or_equal(all_1037_1_2789, all_33_1_35) = all_1037_0_2788 & end_time(all_33_4_38) = all_1037_1_2789)
% 198.85/160.10 |
% 198.85/160.10 +-Applying beta-rule and splitting (1456), into two cases.
% 198.85/160.10 |-Branch one:
% 198.85/160.10 | (1457) all_1037_1_2789 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.10 |
% 198.85/160.10 | Applying alpha-rule on (1457) yields:
% 198.85/160.10 | (1458) all_1037_1_2789 = 0
% 198.85/160.10 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.10 |
% 198.85/160.10 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.10 |-Branch one:
% 198.85/160.10 | (291) all_763_0_313 = 0
% 198.85/160.10 |
% 198.85/160.10 | Equations (291) can reduce 296 to:
% 198.85/160.10 | (62) $false
% 198.85/160.10 |
% 198.85/160.10 |-The branch is then unsatisfiable
% 198.85/160.10 |-Branch two:
% 198.85/160.10 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.10 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.10 | (291) all_763_0_313 = 0
% 198.85/160.10 |
% 198.85/160.10 | Equations (291) can reduce 296 to:
% 198.85/160.10 | (62) $false
% 198.85/160.10 |
% 198.85/160.10 |-The branch is then unsatisfiable
% 198.85/160.10 |-Branch two:
% 198.85/160.10 | (1466) ~ (all_1037_0_2788 = 0) & greater_or_equal(all_1037_1_2789, all_33_1_35) = all_1037_0_2788 & end_time(all_33_4_38) = all_1037_1_2789
% 198.85/160.10 |
% 198.85/160.10 | Applying alpha-rule on (1466) yields:
% 198.85/160.10 | (1467) ~ (all_1037_0_2788 = 0)
% 198.85/160.10 | (1468) greater_or_equal(all_1037_1_2789, all_33_1_35) = all_1037_0_2788
% 198.85/160.10 | (1469) end_time(all_33_4_38) = all_1037_1_2789
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (43) with all_33_4_38, all_1037_1_2789, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_2789, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.10 | (1470) all_1037_1_2789 = all_33_1_35
% 198.85/160.10 |
% 198.85/160.10 | From (1470) and (1468) follows:
% 198.85/160.10 | (1471) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2788
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (34) with all_1037_0_2788, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2788, yields:
% 198.85/160.10 | (1472) all_1037_0_2788 = 0
% 198.85/160.10 |
% 198.85/160.10 | Equations (1472) can reduce 1467 to:
% 198.85/160.10 | (62) $false
% 198.85/160.10 |
% 198.85/160.10 |-The branch is then unsatisfiable
% 198.85/160.10 |-Branch two:
% 198.85/160.10 | (1474) ~ (all_1037_1_2789 = 0) & environment(all_33_4_38) = all_1037_1_2789
% 198.85/160.10 |
% 198.85/160.10 | Applying alpha-rule on (1474) yields:
% 198.85/160.10 | (1475) ~ (all_1037_1_2789 = 0)
% 198.85/160.10 | (1476) environment(all_33_4_38) = all_1037_1_2789
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (35) with all_33_4_38, all_1037_1_2789, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_2789, environment(all_33_4_38) = 0, yields:
% 198.85/160.10 | (1458) all_1037_1_2789 = 0
% 198.85/160.10 |
% 198.85/160.10 | Equations (1458) can reduce 1475 to:
% 198.85/160.10 | (62) $false
% 198.85/160.10 |
% 198.85/160.10 |-The branch is then unsatisfiable
% 198.85/160.10 |-Branch two:
% 198.85/160.10 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 198.85/160.10 |
% 198.85/160.10 | Applying alpha-rule on (371) yields:
% 198.85/160.10 | (340) all_569_0_283 = 0
% 198.85/160.10 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 198.85/160.10 | (342) end_time(all_33_4_38) = all_569_1_284
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.10 | (343) all_569_1_284 = all_33_1_35
% 198.85/160.10 |
% 198.85/160.10 | From (343) and (342) follows:
% 198.85/160.10 | (67) end_time(all_33_4_38) = all_33_1_35
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 198.85/160.10 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 198.85/160.10 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.10 |
% 198.85/160.10 | Instantiating (345) with all_1033_0_2854, all_1033_1_2855 yields:
% 198.85/160.10 | (1487) (all_1033_1_2855 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_2854 = 0) & greater_or_equal(all_1033_1_2855, all_33_1_35) = all_1033_0_2854 & end_time(all_33_4_38) = all_1033_1_2855) | ( ~ (all_1033_1_2855 = 0) & environment(all_33_4_38) = all_1033_1_2855)
% 198.85/160.10 |
% 198.85/160.10 +-Applying beta-rule and splitting (1487), into two cases.
% 198.85/160.10 |-Branch one:
% 198.85/160.10 | (1488) (all_1033_1_2855 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_2854 = 0) & greater_or_equal(all_1033_1_2855, all_33_1_35) = all_1033_0_2854 & end_time(all_33_4_38) = all_1033_1_2855)
% 198.85/160.10 |
% 198.85/160.10 +-Applying beta-rule and splitting (1488), into two cases.
% 198.85/160.10 |-Branch one:
% 198.85/160.10 | (1489) all_1033_1_2855 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.10 |
% 198.85/160.10 | Applying alpha-rule on (1489) yields:
% 198.85/160.10 | (1490) all_1033_1_2855 = 0
% 198.85/160.10 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 198.85/160.10 |
% 198.85/160.10 +-Applying beta-rule and splitting (346), into two cases.
% 198.85/160.10 |-Branch one:
% 198.85/160.10 | (291) all_763_0_313 = 0
% 198.85/160.10 |
% 198.85/160.10 | Equations (291) can reduce 296 to:
% 198.85/160.10 | (62) $false
% 198.85/160.10 |
% 198.85/160.10 |-The branch is then unsatisfiable
% 198.85/160.10 |-Branch two:
% 198.85/160.10 | (296) ~ (all_763_0_313 = 0)
% 198.85/160.10 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 198.85/160.10 | (291) all_763_0_313 = 0
% 198.85/160.10 |
% 198.85/160.10 | Equations (291) can reduce 296 to:
% 198.85/160.10 | (62) $false
% 198.85/160.10 |
% 198.85/160.10 |-The branch is then unsatisfiable
% 198.85/160.10 |-Branch two:
% 198.85/160.10 | (1498) ~ (all_1033_0_2854 = 0) & greater_or_equal(all_1033_1_2855, all_33_1_35) = all_1033_0_2854 & end_time(all_33_4_38) = all_1033_1_2855
% 198.85/160.10 |
% 198.85/160.10 | Applying alpha-rule on (1498) yields:
% 198.85/160.10 | (1499) ~ (all_1033_0_2854 = 0)
% 198.85/160.10 | (1500) greater_or_equal(all_1033_1_2855, all_33_1_35) = all_1033_0_2854
% 198.85/160.10 | (1501) end_time(all_33_4_38) = all_1033_1_2855
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (43) with all_33_4_38, all_1033_1_2855, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_2855, end_time(all_33_4_38) = all_33_1_35, yields:
% 198.85/160.10 | (1502) all_1033_1_2855 = all_33_1_35
% 198.85/160.10 |
% 198.85/160.10 | From (1502) and (1500) follows:
% 198.85/160.10 | (1503) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_2854
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (34) with all_1033_0_2854, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_2854, yields:
% 198.85/160.10 | (1504) all_1033_0_2854 = 0
% 198.85/160.10 |
% 198.85/160.10 | Equations (1504) can reduce 1499 to:
% 198.85/160.10 | (62) $false
% 198.85/160.10 |
% 198.85/160.10 |-The branch is then unsatisfiable
% 198.85/160.10 |-Branch two:
% 198.85/160.10 | (1506) ~ (all_1033_1_2855 = 0) & environment(all_33_4_38) = all_1033_1_2855
% 198.85/160.10 |
% 198.85/160.10 | Applying alpha-rule on (1506) yields:
% 198.85/160.10 | (1507) ~ (all_1033_1_2855 = 0)
% 198.85/160.10 | (1508) environment(all_33_4_38) = all_1033_1_2855
% 198.85/160.10 |
% 198.85/160.10 | Instantiating formula (35) with all_33_4_38, all_1033_1_2855, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_2855, environment(all_33_4_38) = 0, yields:
% 198.85/160.10 | (1490) all_1033_1_2855 = 0
% 198.85/160.10 |
% 198.85/160.10 | Equations (1490) can reduce 1507 to:
% 198.85/160.10 | (62) $false
% 198.85/160.10 |
% 198.85/160.10 |-The branch is then unsatisfiable
% 198.85/160.10 |-Branch two:
% 198.85/160.10 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 198.85/160.10 |
% 198.85/160.10 | Applying alpha-rule on (403) yields:
% 198.85/160.10 | (404) ~ (all_569_1_284 = 0)
% 199.27/160.10 | (405) environment(all_33_4_38) = all_569_1_284
% 199.27/160.10 |
% 199.27/160.10 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.27/160.10 | (406) all_569_1_284 = 0
% 199.27/160.10 |
% 199.27/160.10 | Equations (406) can reduce 404 to:
% 199.27/160.10 | (62) $false
% 199.27/160.10 |
% 199.27/160.10 |-The branch is then unsatisfiable
% 199.27/160.10 |-Branch two:
% 199.27/160.10 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 199.27/160.10 |
% 199.27/160.10 | Applying alpha-rule on (484) yields:
% 199.27/160.10 | (485) ~ (all_568_1_282 = 0)
% 199.27/160.10 | (486) environment(all_33_4_38) = all_568_1_282
% 199.27/160.10 |
% 199.27/160.10 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 199.27/160.10 | (487) all_568_1_282 = 0
% 199.27/160.10 |
% 199.27/160.10 | Equations (487) can reduce 485 to:
% 199.27/160.10 | (62) $false
% 199.27/160.10 |
% 199.27/160.10 |-The branch is then unsatisfiable
% 199.27/160.10 |-Branch two:
% 199.27/160.10 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.27/160.10 |
% 199.27/160.10 | Applying alpha-rule on (489) yields:
% 199.27/160.10 | (326) all_564_0_272 = 0
% 199.27/160.10 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 199.27/160.10 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.27/160.10 |
% 199.27/160.10 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.10 | (329) all_564_1_273 = all_33_1_35
% 199.27/160.10 |
% 199.27/160.10 | From (329) and (328) follows:
% 199.27/160.10 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.10 |
% 199.27/160.10 +-Applying beta-rule and splitting (277), into two cases.
% 199.27/160.10 |-Branch one:
% 199.27/160.10 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 199.27/160.10 |
% 199.27/160.10 +-Applying beta-rule and splitting (331), into two cases.
% 199.27/160.10 |-Branch one:
% 199.27/160.10 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.27/160.10 |
% 199.27/160.10 | Applying alpha-rule on (332) yields:
% 199.27/160.10 | (333) all_568_0_281 = 0
% 199.27/160.10 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 199.27/160.10 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.27/160.10 |
% 199.27/160.10 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.10 | (336) all_568_1_282 = all_33_1_35
% 199.27/160.10 |
% 199.27/160.10 | From (336) and (335) follows:
% 199.27/160.10 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.10 |
% 199.27/160.10 +-Applying beta-rule and splitting (278), into two cases.
% 199.27/160.10 |-Branch one:
% 199.27/160.10 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.27/160.10 |
% 199.27/160.10 +-Applying beta-rule and splitting (338), into two cases.
% 199.27/160.10 |-Branch one:
% 199.27/160.10 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.10 |
% 199.27/160.10 | Applying alpha-rule on (339) yields:
% 199.27/160.10 | (340) all_569_0_283 = 0
% 199.27/160.10 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.27/160.10 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.10 |
% 199.27/160.10 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.10 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.10 |
% 199.27/160.10 | From (343) and (342) follows:
% 199.27/160.11 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.11 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.11 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.11 |
% 199.27/160.11 | Instantiating (345) with all_1037_0_2934, all_1037_1_2935 yields:
% 199.27/160.11 | (1543) (all_1037_1_2935 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2934 = 0) & greater_or_equal(all_1037_1_2935, all_33_1_35) = all_1037_0_2934 & end_time(all_33_4_38) = all_1037_1_2935) | ( ~ (all_1037_1_2935 = 0) & environment(all_33_4_38) = all_1037_1_2935)
% 199.27/160.11 |
% 199.27/160.11 +-Applying beta-rule and splitting (1543), into two cases.
% 199.27/160.11 |-Branch one:
% 199.27/160.11 | (1544) (all_1037_1_2935 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_2934 = 0) & greater_or_equal(all_1037_1_2935, all_33_1_35) = all_1037_0_2934 & end_time(all_33_4_38) = all_1037_1_2935)
% 199.27/160.11 |
% 199.27/160.11 +-Applying beta-rule and splitting (1544), into two cases.
% 199.27/160.11 |-Branch one:
% 199.27/160.11 | (1545) all_1037_1_2935 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.11 |
% 199.27/160.11 | Applying alpha-rule on (1545) yields:
% 199.27/160.11 | (1546) all_1037_1_2935 = 0
% 199.27/160.11 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.11 |
% 199.27/160.11 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.11 |-Branch one:
% 199.27/160.11 | (291) all_763_0_313 = 0
% 199.27/160.11 |
% 199.27/160.11 | Equations (291) can reduce 296 to:
% 199.27/160.11 | (62) $false
% 199.27/160.11 |
% 199.27/160.11 |-The branch is then unsatisfiable
% 199.27/160.11 |-Branch two:
% 199.27/160.11 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.11 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.11 | (291) all_763_0_313 = 0
% 199.27/160.11 |
% 199.27/160.11 | Equations (291) can reduce 296 to:
% 199.27/160.11 | (62) $false
% 199.27/160.11 |
% 199.27/160.11 |-The branch is then unsatisfiable
% 199.27/160.11 |-Branch two:
% 199.27/160.11 | (1554) ~ (all_1037_0_2934 = 0) & greater_or_equal(all_1037_1_2935, all_33_1_35) = all_1037_0_2934 & end_time(all_33_4_38) = all_1037_1_2935
% 199.27/160.11 |
% 199.27/160.11 | Applying alpha-rule on (1554) yields:
% 199.27/160.11 | (1555) ~ (all_1037_0_2934 = 0)
% 199.27/160.11 | (1556) greater_or_equal(all_1037_1_2935, all_33_1_35) = all_1037_0_2934
% 199.27/160.11 | (1557) end_time(all_33_4_38) = all_1037_1_2935
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (43) with all_33_4_38, all_1037_1_2935, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_2935, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.11 | (1558) all_1037_1_2935 = all_33_1_35
% 199.27/160.11 |
% 199.27/160.11 | From (1558) and (1556) follows:
% 199.27/160.11 | (1559) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2934
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (34) with all_1037_0_2934, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_2934, yields:
% 199.27/160.11 | (1560) all_1037_0_2934 = 0
% 199.27/160.11 |
% 199.27/160.11 | Equations (1560) can reduce 1555 to:
% 199.27/160.11 | (62) $false
% 199.27/160.11 |
% 199.27/160.11 |-The branch is then unsatisfiable
% 199.27/160.11 |-Branch two:
% 199.27/160.11 | (1562) ~ (all_1037_1_2935 = 0) & environment(all_33_4_38) = all_1037_1_2935
% 199.27/160.11 |
% 199.27/160.11 | Applying alpha-rule on (1562) yields:
% 199.27/160.11 | (1563) ~ (all_1037_1_2935 = 0)
% 199.27/160.11 | (1564) environment(all_33_4_38) = all_1037_1_2935
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (35) with all_33_4_38, all_1037_1_2935, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_2935, environment(all_33_4_38) = 0, yields:
% 199.27/160.11 | (1546) all_1037_1_2935 = 0
% 199.27/160.11 |
% 199.27/160.11 | Equations (1546) can reduce 1563 to:
% 199.27/160.11 | (62) $false
% 199.27/160.11 |
% 199.27/160.11 |-The branch is then unsatisfiable
% 199.27/160.11 |-Branch two:
% 199.27/160.11 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.11 |
% 199.27/160.11 | Applying alpha-rule on (371) yields:
% 199.27/160.11 | (340) all_569_0_283 = 0
% 199.27/160.11 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.27/160.11 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.11 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.11 |
% 199.27/160.11 | From (343) and (342) follows:
% 199.27/160.11 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.11 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.11 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.11 |
% 199.27/160.11 | Instantiating (345) with all_1033_0_3000, all_1033_1_3001 yields:
% 199.27/160.11 | (1575) (all_1033_1_3001 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_3000 = 0) & greater_or_equal(all_1033_1_3001, all_33_1_35) = all_1033_0_3000 & end_time(all_33_4_38) = all_1033_1_3001) | ( ~ (all_1033_1_3001 = 0) & environment(all_33_4_38) = all_1033_1_3001)
% 199.27/160.11 |
% 199.27/160.11 +-Applying beta-rule and splitting (1575), into two cases.
% 199.27/160.11 |-Branch one:
% 199.27/160.11 | (1576) (all_1033_1_3001 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_3000 = 0) & greater_or_equal(all_1033_1_3001, all_33_1_35) = all_1033_0_3000 & end_time(all_33_4_38) = all_1033_1_3001)
% 199.27/160.11 |
% 199.27/160.11 +-Applying beta-rule and splitting (1576), into two cases.
% 199.27/160.11 |-Branch one:
% 199.27/160.11 | (1577) all_1033_1_3001 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.11 |
% 199.27/160.11 | Applying alpha-rule on (1577) yields:
% 199.27/160.11 | (1578) all_1033_1_3001 = 0
% 199.27/160.11 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.11 |
% 199.27/160.11 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.11 |-Branch one:
% 199.27/160.11 | (291) all_763_0_313 = 0
% 199.27/160.11 |
% 199.27/160.11 | Equations (291) can reduce 296 to:
% 199.27/160.11 | (62) $false
% 199.27/160.11 |
% 199.27/160.11 |-The branch is then unsatisfiable
% 199.27/160.11 |-Branch two:
% 199.27/160.11 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.11 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.11 | (291) all_763_0_313 = 0
% 199.27/160.11 |
% 199.27/160.11 | Equations (291) can reduce 296 to:
% 199.27/160.11 | (62) $false
% 199.27/160.11 |
% 199.27/160.11 |-The branch is then unsatisfiable
% 199.27/160.11 |-Branch two:
% 199.27/160.11 | (1586) ~ (all_1033_0_3000 = 0) & greater_or_equal(all_1033_1_3001, all_33_1_35) = all_1033_0_3000 & end_time(all_33_4_38) = all_1033_1_3001
% 199.27/160.11 |
% 199.27/160.11 | Applying alpha-rule on (1586) yields:
% 199.27/160.11 | (1587) ~ (all_1033_0_3000 = 0)
% 199.27/160.11 | (1588) greater_or_equal(all_1033_1_3001, all_33_1_35) = all_1033_0_3000
% 199.27/160.11 | (1589) end_time(all_33_4_38) = all_1033_1_3001
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (43) with all_33_4_38, all_1033_1_3001, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_3001, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.11 | (1590) all_1033_1_3001 = all_33_1_35
% 199.27/160.11 |
% 199.27/160.11 | From (1590) and (1588) follows:
% 199.27/160.11 | (1591) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_3000
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (34) with all_1033_0_3000, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_3000, yields:
% 199.27/160.11 | (1592) all_1033_0_3000 = 0
% 199.27/160.11 |
% 199.27/160.11 | Equations (1592) can reduce 1587 to:
% 199.27/160.11 | (62) $false
% 199.27/160.11 |
% 199.27/160.11 |-The branch is then unsatisfiable
% 199.27/160.11 |-Branch two:
% 199.27/160.11 | (1594) ~ (all_1033_1_3001 = 0) & environment(all_33_4_38) = all_1033_1_3001
% 199.27/160.11 |
% 199.27/160.11 | Applying alpha-rule on (1594) yields:
% 199.27/160.11 | (1595) ~ (all_1033_1_3001 = 0)
% 199.27/160.11 | (1596) environment(all_33_4_38) = all_1033_1_3001
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (35) with all_33_4_38, all_1033_1_3001, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_3001, environment(all_33_4_38) = 0, yields:
% 199.27/160.11 | (1578) all_1033_1_3001 = 0
% 199.27/160.11 |
% 199.27/160.11 | Equations (1578) can reduce 1595 to:
% 199.27/160.11 | (62) $false
% 199.27/160.11 |
% 199.27/160.11 |-The branch is then unsatisfiable
% 199.27/160.11 |-Branch two:
% 199.27/160.11 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.27/160.11 |
% 199.27/160.11 | Applying alpha-rule on (403) yields:
% 199.27/160.11 | (404) ~ (all_569_1_284 = 0)
% 199.27/160.11 | (405) environment(all_33_4_38) = all_569_1_284
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.27/160.11 | (406) all_569_1_284 = 0
% 199.27/160.11 |
% 199.27/160.11 | Equations (406) can reduce 404 to:
% 199.27/160.11 | (62) $false
% 199.27/160.11 |
% 199.27/160.11 |-The branch is then unsatisfiable
% 199.27/160.11 |-Branch two:
% 199.27/160.11 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.27/160.11 |
% 199.27/160.11 | Applying alpha-rule on (408) yields:
% 199.27/160.11 | (333) all_568_0_281 = 0
% 199.27/160.11 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 199.27/160.11 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.11 | (336) all_568_1_282 = all_33_1_35
% 199.27/160.11 |
% 199.27/160.11 | From (336) and (335) follows:
% 199.27/160.11 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.11 |
% 199.27/160.11 +-Applying beta-rule and splitting (278), into two cases.
% 199.27/160.11 |-Branch one:
% 199.27/160.11 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.27/160.11 |
% 199.27/160.11 +-Applying beta-rule and splitting (338), into two cases.
% 199.27/160.11 |-Branch one:
% 199.27/160.11 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.11 |
% 199.27/160.11 | Applying alpha-rule on (339) yields:
% 199.27/160.11 | (340) all_569_0_283 = 0
% 199.27/160.11 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.27/160.11 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.11 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.11 |
% 199.27/160.11 | From (343) and (342) follows:
% 199.27/160.11 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.11 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.11 |
% 199.27/160.11 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.11 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.11 |
% 199.27/160.11 | Instantiating (345) with all_1033_0_3072, all_1033_1_3073 yields:
% 199.27/160.11 | (1619) (all_1033_1_3073 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_3072 = 0) & greater_or_equal(all_1033_1_3073, all_33_1_35) = all_1033_0_3072 & end_time(all_33_4_38) = all_1033_1_3073) | ( ~ (all_1033_1_3073 = 0) & environment(all_33_4_38) = all_1033_1_3073)
% 199.27/160.11 |
% 199.27/160.12 +-Applying beta-rule and splitting (1619), into two cases.
% 199.27/160.12 |-Branch one:
% 199.27/160.12 | (1620) (all_1033_1_3073 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_3072 = 0) & greater_or_equal(all_1033_1_3073, all_33_1_35) = all_1033_0_3072 & end_time(all_33_4_38) = all_1033_1_3073)
% 199.27/160.12 |
% 199.27/160.12 +-Applying beta-rule and splitting (1620), into two cases.
% 199.27/160.12 |-Branch one:
% 199.27/160.12 | (1621) all_1033_1_3073 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (1621) yields:
% 199.27/160.12 | (1622) all_1033_1_3073 = 0
% 199.27/160.12 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.12 |
% 199.27/160.12 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.12 |-Branch one:
% 199.27/160.12 | (291) all_763_0_313 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (291) can reduce 296 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.12 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.12 | (291) all_763_0_313 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (291) can reduce 296 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (1630) ~ (all_1033_0_3072 = 0) & greater_or_equal(all_1033_1_3073, all_33_1_35) = all_1033_0_3072 & end_time(all_33_4_38) = all_1033_1_3073
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (1630) yields:
% 199.27/160.12 | (1631) ~ (all_1033_0_3072 = 0)
% 199.27/160.12 | (1632) greater_or_equal(all_1033_1_3073, all_33_1_35) = all_1033_0_3072
% 199.27/160.12 | (1633) end_time(all_33_4_38) = all_1033_1_3073
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (43) with all_33_4_38, all_1033_1_3073, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_3073, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.12 | (1634) all_1033_1_3073 = all_33_1_35
% 199.27/160.12 |
% 199.27/160.12 | From (1634) and (1632) follows:
% 199.27/160.12 | (1635) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_3072
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (34) with all_1033_0_3072, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_3072, yields:
% 199.27/160.12 | (1636) all_1033_0_3072 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (1636) can reduce 1631 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (1638) ~ (all_1033_1_3073 = 0) & environment(all_33_4_38) = all_1033_1_3073
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (1638) yields:
% 199.27/160.12 | (1639) ~ (all_1033_1_3073 = 0)
% 199.27/160.12 | (1640) environment(all_33_4_38) = all_1033_1_3073
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (35) with all_33_4_38, all_1033_1_3073, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_3073, environment(all_33_4_38) = 0, yields:
% 199.27/160.12 | (1622) all_1033_1_3073 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (1622) can reduce 1639 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (371) yields:
% 199.27/160.12 | (340) all_569_0_283 = 0
% 199.27/160.12 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.27/160.12 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.12 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.12 |
% 199.27/160.12 | From (343) and (342) follows:
% 199.27/160.12 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.12 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.12 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.12 |
% 199.27/160.12 | Instantiating (345) with all_1031_0_3139, all_1031_1_3140 yields:
% 199.27/160.12 | (1651) (all_1031_1_3140 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_3139 = 0) & greater_or_equal(all_1031_1_3140, all_33_1_35) = all_1031_0_3139 & end_time(all_33_4_38) = all_1031_1_3140) | ( ~ (all_1031_1_3140 = 0) & environment(all_33_4_38) = all_1031_1_3140)
% 199.27/160.12 |
% 199.27/160.12 +-Applying beta-rule and splitting (1651), into two cases.
% 199.27/160.12 |-Branch one:
% 199.27/160.12 | (1652) (all_1031_1_3140 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_3139 = 0) & greater_or_equal(all_1031_1_3140, all_33_1_35) = all_1031_0_3139 & end_time(all_33_4_38) = all_1031_1_3140)
% 199.27/160.12 |
% 199.27/160.12 +-Applying beta-rule and splitting (1652), into two cases.
% 199.27/160.12 |-Branch one:
% 199.27/160.12 | (1653) all_1031_1_3140 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (1653) yields:
% 199.27/160.12 | (1654) all_1031_1_3140 = 0
% 199.27/160.12 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.12 |
% 199.27/160.12 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.12 |-Branch one:
% 199.27/160.12 | (291) all_763_0_313 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (291) can reduce 296 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.12 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.12 | (291) all_763_0_313 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (291) can reduce 296 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (1662) ~ (all_1031_0_3139 = 0) & greater_or_equal(all_1031_1_3140, all_33_1_35) = all_1031_0_3139 & end_time(all_33_4_38) = all_1031_1_3140
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (1662) yields:
% 199.27/160.12 | (1663) ~ (all_1031_0_3139 = 0)
% 199.27/160.12 | (1664) greater_or_equal(all_1031_1_3140, all_33_1_35) = all_1031_0_3139
% 199.27/160.12 | (1665) end_time(all_33_4_38) = all_1031_1_3140
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (43) with all_33_4_38, all_1031_1_3140, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1031_1_3140, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.12 | (1666) all_1031_1_3140 = all_33_1_35
% 199.27/160.12 |
% 199.27/160.12 | From (1666) and (1664) follows:
% 199.27/160.12 | (1667) greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_3139
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (34) with all_1031_0_3139, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_3139, yields:
% 199.27/160.12 | (1668) all_1031_0_3139 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (1668) can reduce 1663 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (1670) ~ (all_1031_1_3140 = 0) & environment(all_33_4_38) = all_1031_1_3140
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (1670) yields:
% 199.27/160.12 | (1671) ~ (all_1031_1_3140 = 0)
% 199.27/160.12 | (1672) environment(all_33_4_38) = all_1031_1_3140
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (35) with all_33_4_38, all_1031_1_3140, 0 and discharging atoms environment(all_33_4_38) = all_1031_1_3140, environment(all_33_4_38) = 0, yields:
% 199.27/160.12 | (1654) all_1031_1_3140 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (1654) can reduce 1671 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (403) yields:
% 199.27/160.12 | (404) ~ (all_569_1_284 = 0)
% 199.27/160.12 | (405) environment(all_33_4_38) = all_569_1_284
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.27/160.12 | (406) all_569_1_284 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (406) can reduce 404 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (484) yields:
% 199.27/160.12 | (485) ~ (all_568_1_282 = 0)
% 199.27/160.12 | (486) environment(all_33_4_38) = all_568_1_282
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 199.27/160.12 | (487) all_568_1_282 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (487) can reduce 485 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (653) yields:
% 199.27/160.12 | (654) ~ (all_564_1_273 = 0)
% 199.27/160.12 | (655) environment(all_33_4_38) = all_564_1_273
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 199.27/160.12 | (656) all_564_1_273 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (656) can reduce 654 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (998) ~ (all_559_1_262 = 0) & environment(all_33_4_38) = all_559_1_262
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (998) yields:
% 199.27/160.12 | (999) ~ (all_559_1_262 = 0)
% 199.27/160.12 | (1000) environment(all_33_4_38) = all_559_1_262
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (35) with all_33_4_38, all_559_1_262, 0 and discharging atoms environment(all_33_4_38) = all_559_1_262, environment(all_33_4_38) = 0, yields:
% 199.27/160.12 | (1001) all_559_1_262 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (1001) can reduce 999 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (1695) ~ (all_557_1_258 = 0) & environment(all_33_4_38) = all_557_1_258
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (1695) yields:
% 199.27/160.12 | (1696) ~ (all_557_1_258 = 0)
% 199.27/160.12 | (1697) environment(all_33_4_38) = all_557_1_258
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (35) with all_33_4_38, all_557_1_258, 0 and discharging atoms environment(all_33_4_38) = all_557_1_258, environment(all_33_4_38) = 0, yields:
% 199.27/160.12 | (1698) all_557_1_258 = 0
% 199.27/160.12 |
% 199.27/160.12 | Equations (1698) can reduce 1696 to:
% 199.27/160.12 | (62) $false
% 199.27/160.12 |
% 199.27/160.12 |-The branch is then unsatisfiable
% 199.27/160.12 |-Branch two:
% 199.27/160.12 | (1700) all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (1700) yields:
% 199.27/160.12 | (305) all_554_0_249 = 0
% 199.27/160.12 | (1702) greater(all_114_2_98, all_554_1_250) = 0
% 199.27/160.12 | (307) end_time(all_33_4_38) = all_554_1_250
% 199.27/160.12 |
% 199.27/160.12 | Instantiating formula (43) with all_33_4_38, all_554_1_250, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_554_1_250, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.12 | (308) all_554_1_250 = all_33_1_35
% 199.27/160.12 |
% 199.27/160.12 | From (308) and (307) follows:
% 199.27/160.12 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.12 |
% 199.27/160.12 +-Applying beta-rule and splitting (274), into two cases.
% 199.27/160.12 |-Branch one:
% 199.27/160.12 | (310) (all_557_0_257 = 0 & greater_or_equal(all_557_1_258, all_135_2_141) = 0 & end_time(all_33_4_38) = all_557_1_258) | (all_557_0_257 = 0 & greater(all_135_2_141, all_557_1_258) = 0 & end_time(all_33_4_38) = all_557_1_258)
% 199.27/160.12 |
% 199.27/160.12 +-Applying beta-rule and splitting (310), into two cases.
% 199.27/160.12 |-Branch one:
% 199.27/160.12 | (311) all_557_0_257 = 0 & greater_or_equal(all_557_1_258, all_135_2_141) = 0 & end_time(all_33_4_38) = all_557_1_258
% 199.27/160.12 |
% 199.27/160.12 | Applying alpha-rule on (311) yields:
% 199.27/160.12 | (312) all_557_0_257 = 0
% 199.27/160.12 | (313) greater_or_equal(all_557_1_258, all_135_2_141) = 0
% 199.27/160.12 | (314) end_time(all_33_4_38) = all_557_1_258
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (43) with all_33_4_38, all_557_1_258, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_557_1_258, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.13 | (315) all_557_1_258 = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 | From (315) and (314) follows:
% 199.27/160.13 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (275), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (317) (all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262) | (all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262)
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (317), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (318) all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262
% 199.27/160.13 |
% 199.27/160.13 | Applying alpha-rule on (318) yields:
% 199.27/160.13 | (319) all_559_0_261 = 0
% 199.27/160.13 | (320) greater_or_equal(all_559_1_262, all_60_2_75) = 0
% 199.27/160.13 | (321) end_time(all_33_4_38) = all_559_1_262
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.13 | (322) all_559_1_262 = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 | From (322) and (321) follows:
% 199.27/160.13 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (276), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (324), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.27/160.13 |
% 199.27/160.13 | Applying alpha-rule on (325) yields:
% 199.27/160.13 | (326) all_564_0_272 = 0
% 199.27/160.13 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 199.27/160.13 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.13 | (329) all_564_1_273 = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 | From (329) and (328) follows:
% 199.27/160.13 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (277), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (331), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.27/160.13 |
% 199.27/160.13 | Applying alpha-rule on (332) yields:
% 199.27/160.13 | (333) all_568_0_281 = 0
% 199.27/160.13 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 199.27/160.13 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.13 | (336) all_568_1_282 = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 | From (336) and (335) follows:
% 199.27/160.13 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (278), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (338), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.13 |
% 199.27/160.13 | Applying alpha-rule on (339) yields:
% 199.27/160.13 | (340) all_569_0_283 = 0
% 199.27/160.13 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.27/160.13 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.13 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 | From (343) and (342) follows:
% 199.27/160.13 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.13 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.13 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.13 |
% 199.27/160.13 | Instantiating (345) with all_1037_0_3303, all_1037_1_3304 yields:
% 199.27/160.13 | (1743) (all_1037_1_3304 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_3303 = 0) & greater_or_equal(all_1037_1_3304, all_33_1_35) = all_1037_0_3303 & end_time(all_33_4_38) = all_1037_1_3304) | ( ~ (all_1037_1_3304 = 0) & environment(all_33_4_38) = all_1037_1_3304)
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (291) all_763_0_313 = 0
% 199.27/160.13 |
% 199.27/160.13 | Equations (291) can reduce 296 to:
% 199.27/160.13 | (62) $false
% 199.27/160.13 |
% 199.27/160.13 |-The branch is then unsatisfiable
% 199.27/160.13 |-Branch two:
% 199.27/160.13 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.13 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (1743), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (1748) (all_1037_1_3304 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_3303 = 0) & greater_or_equal(all_1037_1_3304, all_33_1_35) = all_1037_0_3303 & end_time(all_33_4_38) = all_1037_1_3304)
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (1748), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (1749) all_1037_1_3304 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.13 |
% 199.27/160.13 | Applying alpha-rule on (1749) yields:
% 199.27/160.13 | (1750) all_1037_1_3304 = 0
% 199.27/160.13 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.13 | (291) all_763_0_313 = 0
% 199.27/160.13 |
% 199.27/160.13 | Equations (291) can reduce 296 to:
% 199.27/160.13 | (62) $false
% 199.27/160.13 |
% 199.27/160.13 |-The branch is then unsatisfiable
% 199.27/160.13 |-Branch two:
% 199.27/160.13 | (1754) ~ (all_1037_0_3303 = 0) & greater_or_equal(all_1037_1_3304, all_33_1_35) = all_1037_0_3303 & end_time(all_33_4_38) = all_1037_1_3304
% 199.27/160.13 |
% 199.27/160.13 | Applying alpha-rule on (1754) yields:
% 199.27/160.13 | (1755) ~ (all_1037_0_3303 = 0)
% 199.27/160.13 | (1756) greater_or_equal(all_1037_1_3304, all_33_1_35) = all_1037_0_3303
% 199.27/160.13 | (1757) end_time(all_33_4_38) = all_1037_1_3304
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (43) with all_33_4_38, all_1037_1_3304, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_3304, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.13 | (1758) all_1037_1_3304 = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 | From (1758) and (1756) follows:
% 199.27/160.13 | (1759) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_3303
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (34) with all_1037_0_3303, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_3303, yields:
% 199.27/160.13 | (1760) all_1037_0_3303 = 0
% 199.27/160.13 |
% 199.27/160.13 | Equations (1760) can reduce 1755 to:
% 199.27/160.13 | (62) $false
% 199.27/160.13 |
% 199.27/160.13 |-The branch is then unsatisfiable
% 199.27/160.13 |-Branch two:
% 199.27/160.13 | (1762) ~ (all_1037_1_3304 = 0) & environment(all_33_4_38) = all_1037_1_3304
% 199.27/160.13 |
% 199.27/160.13 | Applying alpha-rule on (1762) yields:
% 199.27/160.13 | (1763) ~ (all_1037_1_3304 = 0)
% 199.27/160.13 | (1764) environment(all_33_4_38) = all_1037_1_3304
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (35) with all_33_4_38, all_1037_1_3304, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_3304, environment(all_33_4_38) = 0, yields:
% 199.27/160.13 | (1750) all_1037_1_3304 = 0
% 199.27/160.13 |
% 199.27/160.13 | Equations (1750) can reduce 1763 to:
% 199.27/160.13 | (62) $false
% 199.27/160.13 |
% 199.27/160.13 |-The branch is then unsatisfiable
% 199.27/160.13 |-Branch two:
% 199.27/160.13 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.13 |
% 199.27/160.13 | Applying alpha-rule on (371) yields:
% 199.27/160.13 | (340) all_569_0_283 = 0
% 199.27/160.13 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.27/160.13 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.13 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 | From (343) and (342) follows:
% 199.27/160.13 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.13 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.13 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.13 |
% 199.27/160.13 | Instantiating (345) with all_1038_0_3376, all_1038_1_3377 yields:
% 199.27/160.13 | (1775) (all_1038_1_3377 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_3376 = 0) & greater_or_equal(all_1038_1_3377, all_33_1_35) = all_1038_0_3376 & end_time(all_33_4_38) = all_1038_1_3377) | ( ~ (all_1038_1_3377 = 0) & environment(all_33_4_38) = all_1038_1_3377)
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (291) all_763_0_313 = 0
% 199.27/160.13 |
% 199.27/160.13 | Equations (291) can reduce 296 to:
% 199.27/160.13 | (62) $false
% 199.27/160.13 |
% 199.27/160.13 |-The branch is then unsatisfiable
% 199.27/160.13 |-Branch two:
% 199.27/160.13 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.13 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (1775), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (1780) (all_1038_1_3377 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_3376 = 0) & greater_or_equal(all_1038_1_3377, all_33_1_35) = all_1038_0_3376 & end_time(all_33_4_38) = all_1038_1_3377)
% 199.27/160.13 |
% 199.27/160.13 +-Applying beta-rule and splitting (1780), into two cases.
% 199.27/160.13 |-Branch one:
% 199.27/160.13 | (1781) all_1038_1_3377 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.13 |
% 199.27/160.13 | Applying alpha-rule on (1781) yields:
% 199.27/160.13 | (1782) all_1038_1_3377 = 0
% 199.27/160.13 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.13 | (291) all_763_0_313 = 0
% 199.27/160.13 |
% 199.27/160.13 | Equations (291) can reduce 296 to:
% 199.27/160.13 | (62) $false
% 199.27/160.13 |
% 199.27/160.13 |-The branch is then unsatisfiable
% 199.27/160.13 |-Branch two:
% 199.27/160.13 | (1786) ~ (all_1038_0_3376 = 0) & greater_or_equal(all_1038_1_3377, all_33_1_35) = all_1038_0_3376 & end_time(all_33_4_38) = all_1038_1_3377
% 199.27/160.13 |
% 199.27/160.13 | Applying alpha-rule on (1786) yields:
% 199.27/160.13 | (1787) ~ (all_1038_0_3376 = 0)
% 199.27/160.13 | (1788) greater_or_equal(all_1038_1_3377, all_33_1_35) = all_1038_0_3376
% 199.27/160.13 | (1789) end_time(all_33_4_38) = all_1038_1_3377
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (43) with all_33_4_38, all_1038_1_3377, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_3377, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.13 | (1790) all_1038_1_3377 = all_33_1_35
% 199.27/160.13 |
% 199.27/160.13 | From (1790) and (1788) follows:
% 199.27/160.13 | (1791) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_3376
% 199.27/160.13 |
% 199.27/160.13 | Instantiating formula (34) with all_1038_0_3376, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_3376, yields:
% 199.27/160.13 | (1792) all_1038_0_3376 = 0
% 199.27/160.13 |
% 199.27/160.13 | Equations (1792) can reduce 1787 to:
% 199.27/160.13 | (62) $false
% 199.27/160.13 |
% 199.27/160.13 |-The branch is then unsatisfiable
% 199.27/160.13 |-Branch two:
% 199.27/160.14 | (1794) ~ (all_1038_1_3377 = 0) & environment(all_33_4_38) = all_1038_1_3377
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (1794) yields:
% 199.27/160.14 | (1795) ~ (all_1038_1_3377 = 0)
% 199.27/160.14 | (1796) environment(all_33_4_38) = all_1038_1_3377
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (35) with all_33_4_38, all_1038_1_3377, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_3377, environment(all_33_4_38) = 0, yields:
% 199.27/160.14 | (1782) all_1038_1_3377 = 0
% 199.27/160.14 |
% 199.27/160.14 | Equations (1782) can reduce 1795 to:
% 199.27/160.14 | (62) $false
% 199.27/160.14 |
% 199.27/160.14 |-The branch is then unsatisfiable
% 199.27/160.14 |-Branch two:
% 199.27/160.14 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (403) yields:
% 199.27/160.14 | (404) ~ (all_569_1_284 = 0)
% 199.27/160.14 | (405) environment(all_33_4_38) = all_569_1_284
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.27/160.14 | (406) all_569_1_284 = 0
% 199.27/160.14 |
% 199.27/160.14 | Equations (406) can reduce 404 to:
% 199.27/160.14 | (62) $false
% 199.27/160.14 |
% 199.27/160.14 |-The branch is then unsatisfiable
% 199.27/160.14 |-Branch two:
% 199.27/160.14 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (408) yields:
% 199.27/160.14 | (333) all_568_0_281 = 0
% 199.27/160.14 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 199.27/160.14 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.14 | (336) all_568_1_282 = all_33_1_35
% 199.27/160.14 |
% 199.27/160.14 | From (336) and (335) follows:
% 199.27/160.14 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.14 |
% 199.27/160.14 +-Applying beta-rule and splitting (278), into two cases.
% 199.27/160.14 |-Branch one:
% 199.27/160.14 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.27/160.14 |
% 199.27/160.14 +-Applying beta-rule and splitting (338), into two cases.
% 199.27/160.14 |-Branch one:
% 199.27/160.14 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (339) yields:
% 199.27/160.14 | (340) all_569_0_283 = 0
% 199.27/160.14 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.27/160.14 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.14 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.14 |
% 199.27/160.14 | From (343) and (342) follows:
% 199.27/160.14 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.14 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.14 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.14 |
% 199.27/160.14 | Instantiating (345) with all_1038_0_3446, all_1038_1_3447 yields:
% 199.27/160.14 | (1819) (all_1038_1_3447 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_3446 = 0) & greater_or_equal(all_1038_1_3447, all_33_1_35) = all_1038_0_3446 & end_time(all_33_4_38) = all_1038_1_3447) | ( ~ (all_1038_1_3447 = 0) & environment(all_33_4_38) = all_1038_1_3447)
% 199.27/160.14 |
% 199.27/160.14 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.14 |-Branch one:
% 199.27/160.14 | (291) all_763_0_313 = 0
% 199.27/160.14 |
% 199.27/160.14 | Equations (291) can reduce 296 to:
% 199.27/160.14 | (62) $false
% 199.27/160.14 |
% 199.27/160.14 |-The branch is then unsatisfiable
% 199.27/160.14 |-Branch two:
% 199.27/160.14 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.14 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.14 |
% 199.27/160.14 +-Applying beta-rule and splitting (1819), into two cases.
% 199.27/160.14 |-Branch one:
% 199.27/160.14 | (1824) (all_1038_1_3447 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_3446 = 0) & greater_or_equal(all_1038_1_3447, all_33_1_35) = all_1038_0_3446 & end_time(all_33_4_38) = all_1038_1_3447)
% 199.27/160.14 |
% 199.27/160.14 +-Applying beta-rule and splitting (1824), into two cases.
% 199.27/160.14 |-Branch one:
% 199.27/160.14 | (1825) all_1038_1_3447 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (1825) yields:
% 199.27/160.14 | (1826) all_1038_1_3447 = 0
% 199.27/160.14 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.14 | (291) all_763_0_313 = 0
% 199.27/160.14 |
% 199.27/160.14 | Equations (291) can reduce 296 to:
% 199.27/160.14 | (62) $false
% 199.27/160.14 |
% 199.27/160.14 |-The branch is then unsatisfiable
% 199.27/160.14 |-Branch two:
% 199.27/160.14 | (1830) ~ (all_1038_0_3446 = 0) & greater_or_equal(all_1038_1_3447, all_33_1_35) = all_1038_0_3446 & end_time(all_33_4_38) = all_1038_1_3447
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (1830) yields:
% 199.27/160.14 | (1831) ~ (all_1038_0_3446 = 0)
% 199.27/160.14 | (1832) greater_or_equal(all_1038_1_3447, all_33_1_35) = all_1038_0_3446
% 199.27/160.14 | (1833) end_time(all_33_4_38) = all_1038_1_3447
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (43) with all_33_4_38, all_1038_1_3447, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_3447, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.14 | (1834) all_1038_1_3447 = all_33_1_35
% 199.27/160.14 |
% 199.27/160.14 | From (1834) and (1832) follows:
% 199.27/160.14 | (1835) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_3446
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (34) with all_1038_0_3446, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_3446, yields:
% 199.27/160.14 | (1836) all_1038_0_3446 = 0
% 199.27/160.14 |
% 199.27/160.14 | Equations (1836) can reduce 1831 to:
% 199.27/160.14 | (62) $false
% 199.27/160.14 |
% 199.27/160.14 |-The branch is then unsatisfiable
% 199.27/160.14 |-Branch two:
% 199.27/160.14 | (1838) ~ (all_1038_1_3447 = 0) & environment(all_33_4_38) = all_1038_1_3447
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (1838) yields:
% 199.27/160.14 | (1839) ~ (all_1038_1_3447 = 0)
% 199.27/160.14 | (1840) environment(all_33_4_38) = all_1038_1_3447
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (35) with all_33_4_38, all_1038_1_3447, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_3447, environment(all_33_4_38) = 0, yields:
% 199.27/160.14 | (1826) all_1038_1_3447 = 0
% 199.27/160.14 |
% 199.27/160.14 | Equations (1826) can reduce 1839 to:
% 199.27/160.14 | (62) $false
% 199.27/160.14 |
% 199.27/160.14 |-The branch is then unsatisfiable
% 199.27/160.14 |-Branch two:
% 199.27/160.14 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (371) yields:
% 199.27/160.14 | (340) all_569_0_283 = 0
% 199.27/160.14 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.27/160.14 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.14 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.14 |
% 199.27/160.14 | From (343) and (342) follows:
% 199.27/160.14 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.14 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.14 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.14 |
% 199.27/160.14 | Instantiating (345) with all_1037_0_3512, all_1037_1_3513 yields:
% 199.27/160.14 | (1851) (all_1037_1_3513 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_3512 = 0) & greater_or_equal(all_1037_1_3513, all_33_1_35) = all_1037_0_3512 & end_time(all_33_4_38) = all_1037_1_3513) | ( ~ (all_1037_1_3513 = 0) & environment(all_33_4_38) = all_1037_1_3513)
% 199.27/160.14 |
% 199.27/160.14 +-Applying beta-rule and splitting (1851), into two cases.
% 199.27/160.14 |-Branch one:
% 199.27/160.14 | (1852) (all_1037_1_3513 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_3512 = 0) & greater_or_equal(all_1037_1_3513, all_33_1_35) = all_1037_0_3512 & end_time(all_33_4_38) = all_1037_1_3513)
% 199.27/160.14 |
% 199.27/160.14 +-Applying beta-rule and splitting (1852), into two cases.
% 199.27/160.14 |-Branch one:
% 199.27/160.14 | (1853) all_1037_1_3513 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (1853) yields:
% 199.27/160.14 | (1854) all_1037_1_3513 = 0
% 199.27/160.14 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.14 |
% 199.27/160.14 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.14 |-Branch one:
% 199.27/160.14 | (291) all_763_0_313 = 0
% 199.27/160.14 |
% 199.27/160.14 | Equations (291) can reduce 296 to:
% 199.27/160.14 | (62) $false
% 199.27/160.14 |
% 199.27/160.14 |-The branch is then unsatisfiable
% 199.27/160.14 |-Branch two:
% 199.27/160.14 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.14 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.14 | (291) all_763_0_313 = 0
% 199.27/160.14 |
% 199.27/160.14 | Equations (291) can reduce 296 to:
% 199.27/160.14 | (62) $false
% 199.27/160.14 |
% 199.27/160.14 |-The branch is then unsatisfiable
% 199.27/160.14 |-Branch two:
% 199.27/160.14 | (1862) ~ (all_1037_0_3512 = 0) & greater_or_equal(all_1037_1_3513, all_33_1_35) = all_1037_0_3512 & end_time(all_33_4_38) = all_1037_1_3513
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (1862) yields:
% 199.27/160.14 | (1863) ~ (all_1037_0_3512 = 0)
% 199.27/160.14 | (1864) greater_or_equal(all_1037_1_3513, all_33_1_35) = all_1037_0_3512
% 199.27/160.14 | (1865) end_time(all_33_4_38) = all_1037_1_3513
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (43) with all_33_4_38, all_1037_1_3513, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_3513, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.14 | (1866) all_1037_1_3513 = all_33_1_35
% 199.27/160.14 |
% 199.27/160.14 | From (1866) and (1864) follows:
% 199.27/160.14 | (1867) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_3512
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (34) with all_1037_0_3512, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_3512, yields:
% 199.27/160.14 | (1868) all_1037_0_3512 = 0
% 199.27/160.14 |
% 199.27/160.14 | Equations (1868) can reduce 1863 to:
% 199.27/160.14 | (62) $false
% 199.27/160.14 |
% 199.27/160.14 |-The branch is then unsatisfiable
% 199.27/160.14 |-Branch two:
% 199.27/160.14 | (1870) ~ (all_1037_1_3513 = 0) & environment(all_33_4_38) = all_1037_1_3513
% 199.27/160.14 |
% 199.27/160.14 | Applying alpha-rule on (1870) yields:
% 199.27/160.14 | (1871) ~ (all_1037_1_3513 = 0)
% 199.27/160.14 | (1872) environment(all_33_4_38) = all_1037_1_3513
% 199.27/160.14 |
% 199.27/160.14 | Instantiating formula (35) with all_33_4_38, all_1037_1_3513, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_3513, environment(all_33_4_38) = 0, yields:
% 199.27/160.14 | (1854) all_1037_1_3513 = 0
% 199.27/160.14 |
% 199.27/160.14 | Equations (1854) can reduce 1871 to:
% 199.27/160.14 | (62) $false
% 199.27/160.14 |
% 199.27/160.14 |-The branch is then unsatisfiable
% 199.27/160.14 |-Branch two:
% 199.27/160.14 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (403) yields:
% 199.27/160.15 | (404) ~ (all_569_1_284 = 0)
% 199.27/160.15 | (405) environment(all_33_4_38) = all_569_1_284
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.27/160.15 | (406) all_569_1_284 = 0
% 199.27/160.15 |
% 199.27/160.15 | Equations (406) can reduce 404 to:
% 199.27/160.15 | (62) $false
% 199.27/160.15 |
% 199.27/160.15 |-The branch is then unsatisfiable
% 199.27/160.15 |-Branch two:
% 199.27/160.15 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (484) yields:
% 199.27/160.15 | (485) ~ (all_568_1_282 = 0)
% 199.27/160.15 | (486) environment(all_33_4_38) = all_568_1_282
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 199.27/160.15 | (487) all_568_1_282 = 0
% 199.27/160.15 |
% 199.27/160.15 | Equations (487) can reduce 485 to:
% 199.27/160.15 | (62) $false
% 199.27/160.15 |
% 199.27/160.15 |-The branch is then unsatisfiable
% 199.27/160.15 |-Branch two:
% 199.27/160.15 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (489) yields:
% 199.27/160.15 | (326) all_564_0_272 = 0
% 199.27/160.15 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 199.27/160.15 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.15 | (329) all_564_1_273 = all_33_1_35
% 199.27/160.15 |
% 199.27/160.15 | From (329) and (328) follows:
% 199.27/160.15 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.15 |
% 199.27/160.15 +-Applying beta-rule and splitting (277), into two cases.
% 199.27/160.15 |-Branch one:
% 199.27/160.15 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 199.27/160.15 |
% 199.27/160.15 +-Applying beta-rule and splitting (331), into two cases.
% 199.27/160.15 |-Branch one:
% 199.27/160.15 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (332) yields:
% 199.27/160.15 | (333) all_568_0_281 = 0
% 199.27/160.15 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 199.27/160.15 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.15 | (336) all_568_1_282 = all_33_1_35
% 199.27/160.15 |
% 199.27/160.15 | From (336) and (335) follows:
% 199.27/160.15 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.15 |
% 199.27/160.15 +-Applying beta-rule and splitting (278), into two cases.
% 199.27/160.15 |-Branch one:
% 199.27/160.15 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.27/160.15 |
% 199.27/160.15 +-Applying beta-rule and splitting (338), into two cases.
% 199.27/160.15 |-Branch one:
% 199.27/160.15 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (339) yields:
% 199.27/160.15 | (340) all_569_0_283 = 0
% 199.27/160.15 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.27/160.15 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.15 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.15 |
% 199.27/160.15 | From (343) and (342) follows:
% 199.27/160.15 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.15 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.15 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.15 |
% 199.27/160.15 | Instantiating (345) with all_1038_0_3590, all_1038_1_3591 yields:
% 199.27/160.15 | (1907) (all_1038_1_3591 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_3590 = 0) & greater_or_equal(all_1038_1_3591, all_33_1_35) = all_1038_0_3590 & end_time(all_33_4_38) = all_1038_1_3591) | ( ~ (all_1038_1_3591 = 0) & environment(all_33_4_38) = all_1038_1_3591)
% 199.27/160.15 |
% 199.27/160.15 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.15 |-Branch one:
% 199.27/160.15 | (291) all_763_0_313 = 0
% 199.27/160.15 |
% 199.27/160.15 | Equations (291) can reduce 296 to:
% 199.27/160.15 | (62) $false
% 199.27/160.15 |
% 199.27/160.15 |-The branch is then unsatisfiable
% 199.27/160.15 |-Branch two:
% 199.27/160.15 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.15 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.15 |
% 199.27/160.15 +-Applying beta-rule and splitting (1907), into two cases.
% 199.27/160.15 |-Branch one:
% 199.27/160.15 | (1912) (all_1038_1_3591 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_3590 = 0) & greater_or_equal(all_1038_1_3591, all_33_1_35) = all_1038_0_3590 & end_time(all_33_4_38) = all_1038_1_3591)
% 199.27/160.15 |
% 199.27/160.15 +-Applying beta-rule and splitting (1912), into two cases.
% 199.27/160.15 |-Branch one:
% 199.27/160.15 | (1913) all_1038_1_3591 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (1913) yields:
% 199.27/160.15 | (1914) all_1038_1_3591 = 0
% 199.27/160.15 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.15 | (291) all_763_0_313 = 0
% 199.27/160.15 |
% 199.27/160.15 | Equations (291) can reduce 296 to:
% 199.27/160.15 | (62) $false
% 199.27/160.15 |
% 199.27/160.15 |-The branch is then unsatisfiable
% 199.27/160.15 |-Branch two:
% 199.27/160.15 | (1918) ~ (all_1038_0_3590 = 0) & greater_or_equal(all_1038_1_3591, all_33_1_35) = all_1038_0_3590 & end_time(all_33_4_38) = all_1038_1_3591
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (1918) yields:
% 199.27/160.15 | (1919) ~ (all_1038_0_3590 = 0)
% 199.27/160.15 | (1920) greater_or_equal(all_1038_1_3591, all_33_1_35) = all_1038_0_3590
% 199.27/160.15 | (1921) end_time(all_33_4_38) = all_1038_1_3591
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (43) with all_33_4_38, all_1038_1_3591, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_3591, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.15 | (1922) all_1038_1_3591 = all_33_1_35
% 199.27/160.15 |
% 199.27/160.15 | From (1922) and (1920) follows:
% 199.27/160.15 | (1923) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_3590
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (34) with all_1038_0_3590, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_3590, yields:
% 199.27/160.15 | (1924) all_1038_0_3590 = 0
% 199.27/160.15 |
% 199.27/160.15 | Equations (1924) can reduce 1919 to:
% 199.27/160.15 | (62) $false
% 199.27/160.15 |
% 199.27/160.15 |-The branch is then unsatisfiable
% 199.27/160.15 |-Branch two:
% 199.27/160.15 | (1926) ~ (all_1038_1_3591 = 0) & environment(all_33_4_38) = all_1038_1_3591
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (1926) yields:
% 199.27/160.15 | (1927) ~ (all_1038_1_3591 = 0)
% 199.27/160.15 | (1928) environment(all_33_4_38) = all_1038_1_3591
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (35) with all_33_4_38, all_1038_1_3591, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_3591, environment(all_33_4_38) = 0, yields:
% 199.27/160.15 | (1914) all_1038_1_3591 = 0
% 199.27/160.15 |
% 199.27/160.15 | Equations (1914) can reduce 1927 to:
% 199.27/160.15 | (62) $false
% 199.27/160.15 |
% 199.27/160.15 |-The branch is then unsatisfiable
% 199.27/160.15 |-Branch two:
% 199.27/160.15 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (371) yields:
% 199.27/160.15 | (340) all_569_0_283 = 0
% 199.27/160.15 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.27/160.15 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.15 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.15 |
% 199.27/160.15 | From (343) and (342) follows:
% 199.27/160.15 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.15 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.15 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.15 |
% 199.27/160.15 | Instantiating (345) with all_1037_0_3656, all_1037_1_3657 yields:
% 199.27/160.15 | (1939) (all_1037_1_3657 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_3656 = 0) & greater_or_equal(all_1037_1_3657, all_33_1_35) = all_1037_0_3656 & end_time(all_33_4_38) = all_1037_1_3657) | ( ~ (all_1037_1_3657 = 0) & environment(all_33_4_38) = all_1037_1_3657)
% 199.27/160.15 |
% 199.27/160.15 +-Applying beta-rule and splitting (1939), into two cases.
% 199.27/160.15 |-Branch one:
% 199.27/160.15 | (1940) (all_1037_1_3657 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_3656 = 0) & greater_or_equal(all_1037_1_3657, all_33_1_35) = all_1037_0_3656 & end_time(all_33_4_38) = all_1037_1_3657)
% 199.27/160.15 |
% 199.27/160.15 +-Applying beta-rule and splitting (1940), into two cases.
% 199.27/160.15 |-Branch one:
% 199.27/160.15 | (1941) all_1037_1_3657 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (1941) yields:
% 199.27/160.15 | (1942) all_1037_1_3657 = 0
% 199.27/160.15 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.15 |
% 199.27/160.15 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.15 |-Branch one:
% 199.27/160.15 | (291) all_763_0_313 = 0
% 199.27/160.15 |
% 199.27/160.15 | Equations (291) can reduce 296 to:
% 199.27/160.15 | (62) $false
% 199.27/160.15 |
% 199.27/160.15 |-The branch is then unsatisfiable
% 199.27/160.15 |-Branch two:
% 199.27/160.15 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.15 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.15 | (291) all_763_0_313 = 0
% 199.27/160.15 |
% 199.27/160.15 | Equations (291) can reduce 296 to:
% 199.27/160.15 | (62) $false
% 199.27/160.15 |
% 199.27/160.15 |-The branch is then unsatisfiable
% 199.27/160.15 |-Branch two:
% 199.27/160.15 | (1950) ~ (all_1037_0_3656 = 0) & greater_or_equal(all_1037_1_3657, all_33_1_35) = all_1037_0_3656 & end_time(all_33_4_38) = all_1037_1_3657
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (1950) yields:
% 199.27/160.15 | (1951) ~ (all_1037_0_3656 = 0)
% 199.27/160.15 | (1952) greater_or_equal(all_1037_1_3657, all_33_1_35) = all_1037_0_3656
% 199.27/160.15 | (1953) end_time(all_33_4_38) = all_1037_1_3657
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (43) with all_33_4_38, all_1037_1_3657, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_3657, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.15 | (1954) all_1037_1_3657 = all_33_1_35
% 199.27/160.15 |
% 199.27/160.15 | From (1954) and (1952) follows:
% 199.27/160.15 | (1955) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_3656
% 199.27/160.15 |
% 199.27/160.15 | Instantiating formula (34) with all_1037_0_3656, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_3656, yields:
% 199.27/160.15 | (1956) all_1037_0_3656 = 0
% 199.27/160.15 |
% 199.27/160.15 | Equations (1956) can reduce 1951 to:
% 199.27/160.15 | (62) $false
% 199.27/160.15 |
% 199.27/160.15 |-The branch is then unsatisfiable
% 199.27/160.15 |-Branch two:
% 199.27/160.15 | (1958) ~ (all_1037_1_3657 = 0) & environment(all_33_4_38) = all_1037_1_3657
% 199.27/160.15 |
% 199.27/160.15 | Applying alpha-rule on (1958) yields:
% 199.27/160.15 | (1959) ~ (all_1037_1_3657 = 0)
% 199.27/160.16 | (1960) environment(all_33_4_38) = all_1037_1_3657
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (35) with all_33_4_38, all_1037_1_3657, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_3657, environment(all_33_4_38) = 0, yields:
% 199.27/160.16 | (1942) all_1037_1_3657 = 0
% 199.27/160.16 |
% 199.27/160.16 | Equations (1942) can reduce 1959 to:
% 199.27/160.16 | (62) $false
% 199.27/160.16 |
% 199.27/160.16 |-The branch is then unsatisfiable
% 199.27/160.16 |-Branch two:
% 199.27/160.16 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.27/160.16 |
% 199.27/160.16 | Applying alpha-rule on (403) yields:
% 199.27/160.16 | (404) ~ (all_569_1_284 = 0)
% 199.27/160.16 | (405) environment(all_33_4_38) = all_569_1_284
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.27/160.16 | (406) all_569_1_284 = 0
% 199.27/160.16 |
% 199.27/160.16 | Equations (406) can reduce 404 to:
% 199.27/160.16 | (62) $false
% 199.27/160.16 |
% 199.27/160.16 |-The branch is then unsatisfiable
% 199.27/160.16 |-Branch two:
% 199.27/160.16 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.27/160.16 |
% 199.27/160.16 | Applying alpha-rule on (408) yields:
% 199.27/160.16 | (333) all_568_0_281 = 0
% 199.27/160.16 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 199.27/160.16 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.16 | (336) all_568_1_282 = all_33_1_35
% 199.27/160.16 |
% 199.27/160.16 | From (336) and (335) follows:
% 199.27/160.16 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.16 |
% 199.27/160.16 +-Applying beta-rule and splitting (278), into two cases.
% 199.27/160.16 |-Branch one:
% 199.27/160.16 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.27/160.16 |
% 199.27/160.16 +-Applying beta-rule and splitting (338), into two cases.
% 199.27/160.16 |-Branch one:
% 199.27/160.16 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.16 |
% 199.27/160.16 | Applying alpha-rule on (339) yields:
% 199.27/160.16 | (340) all_569_0_283 = 0
% 199.27/160.16 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.27/160.16 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.16 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.16 |
% 199.27/160.16 | From (343) and (342) follows:
% 199.27/160.16 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.16 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.16 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.16 |
% 199.27/160.16 | Instantiating (345) with all_1037_0_3730, all_1037_1_3731 yields:
% 199.27/160.16 | (1983) (all_1037_1_3731 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_3730 = 0) & greater_or_equal(all_1037_1_3731, all_33_1_35) = all_1037_0_3730 & end_time(all_33_4_38) = all_1037_1_3731) | ( ~ (all_1037_1_3731 = 0) & environment(all_33_4_38) = all_1037_1_3731)
% 199.27/160.16 |
% 199.27/160.16 +-Applying beta-rule and splitting (1983), into two cases.
% 199.27/160.16 |-Branch one:
% 199.27/160.16 | (1984) (all_1037_1_3731 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_3730 = 0) & greater_or_equal(all_1037_1_3731, all_33_1_35) = all_1037_0_3730 & end_time(all_33_4_38) = all_1037_1_3731)
% 199.27/160.16 |
% 199.27/160.16 +-Applying beta-rule and splitting (1984), into two cases.
% 199.27/160.16 |-Branch one:
% 199.27/160.16 | (1985) all_1037_1_3731 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.16 |
% 199.27/160.16 | Applying alpha-rule on (1985) yields:
% 199.27/160.16 | (1986) all_1037_1_3731 = 0
% 199.27/160.16 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.16 |
% 199.27/160.16 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.16 |-Branch one:
% 199.27/160.16 | (291) all_763_0_313 = 0
% 199.27/160.16 |
% 199.27/160.16 | Equations (291) can reduce 296 to:
% 199.27/160.16 | (62) $false
% 199.27/160.16 |
% 199.27/160.16 |-The branch is then unsatisfiable
% 199.27/160.16 |-Branch two:
% 199.27/160.16 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.16 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.16 | (291) all_763_0_313 = 0
% 199.27/160.16 |
% 199.27/160.16 | Equations (291) can reduce 296 to:
% 199.27/160.16 | (62) $false
% 199.27/160.16 |
% 199.27/160.16 |-The branch is then unsatisfiable
% 199.27/160.16 |-Branch two:
% 199.27/160.16 | (1994) ~ (all_1037_0_3730 = 0) & greater_or_equal(all_1037_1_3731, all_33_1_35) = all_1037_0_3730 & end_time(all_33_4_38) = all_1037_1_3731
% 199.27/160.16 |
% 199.27/160.16 | Applying alpha-rule on (1994) yields:
% 199.27/160.16 | (1995) ~ (all_1037_0_3730 = 0)
% 199.27/160.16 | (1996) greater_or_equal(all_1037_1_3731, all_33_1_35) = all_1037_0_3730
% 199.27/160.16 | (1997) end_time(all_33_4_38) = all_1037_1_3731
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (43) with all_33_4_38, all_1037_1_3731, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_3731, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.16 | (1998) all_1037_1_3731 = all_33_1_35
% 199.27/160.16 |
% 199.27/160.16 | From (1998) and (1996) follows:
% 199.27/160.16 | (1999) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_3730
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (34) with all_1037_0_3730, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_3730, yields:
% 199.27/160.16 | (2000) all_1037_0_3730 = 0
% 199.27/160.16 |
% 199.27/160.16 | Equations (2000) can reduce 1995 to:
% 199.27/160.16 | (62) $false
% 199.27/160.16 |
% 199.27/160.16 |-The branch is then unsatisfiable
% 199.27/160.16 |-Branch two:
% 199.27/160.16 | (2002) ~ (all_1037_1_3731 = 0) & environment(all_33_4_38) = all_1037_1_3731
% 199.27/160.16 |
% 199.27/160.16 | Applying alpha-rule on (2002) yields:
% 199.27/160.16 | (2003) ~ (all_1037_1_3731 = 0)
% 199.27/160.16 | (2004) environment(all_33_4_38) = all_1037_1_3731
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (35) with all_33_4_38, all_1037_1_3731, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_3731, environment(all_33_4_38) = 0, yields:
% 199.27/160.16 | (1986) all_1037_1_3731 = 0
% 199.27/160.16 |
% 199.27/160.16 | Equations (1986) can reduce 2003 to:
% 199.27/160.16 | (62) $false
% 199.27/160.16 |
% 199.27/160.16 |-The branch is then unsatisfiable
% 199.27/160.16 |-Branch two:
% 199.27/160.16 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.16 |
% 199.27/160.16 | Applying alpha-rule on (371) yields:
% 199.27/160.16 | (340) all_569_0_283 = 0
% 199.27/160.16 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.27/160.16 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.16 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.16 |
% 199.27/160.16 | From (343) and (342) follows:
% 199.27/160.16 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.16 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.16 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.16 |
% 199.27/160.16 | Instantiating (345) with all_1033_0_3796, all_1033_1_3797 yields:
% 199.27/160.16 | (2015) (all_1033_1_3797 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_3796 = 0) & greater_or_equal(all_1033_1_3797, all_33_1_35) = all_1033_0_3796 & end_time(all_33_4_38) = all_1033_1_3797) | ( ~ (all_1033_1_3797 = 0) & environment(all_33_4_38) = all_1033_1_3797)
% 199.27/160.16 |
% 199.27/160.16 +-Applying beta-rule and splitting (2015), into two cases.
% 199.27/160.16 |-Branch one:
% 199.27/160.16 | (2016) (all_1033_1_3797 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_3796 = 0) & greater_or_equal(all_1033_1_3797, all_33_1_35) = all_1033_0_3796 & end_time(all_33_4_38) = all_1033_1_3797)
% 199.27/160.16 |
% 199.27/160.16 +-Applying beta-rule and splitting (2016), into two cases.
% 199.27/160.16 |-Branch one:
% 199.27/160.16 | (2017) all_1033_1_3797 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.16 |
% 199.27/160.16 | Applying alpha-rule on (2017) yields:
% 199.27/160.16 | (2018) all_1033_1_3797 = 0
% 199.27/160.16 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.16 |
% 199.27/160.16 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.16 |-Branch one:
% 199.27/160.16 | (291) all_763_0_313 = 0
% 199.27/160.16 |
% 199.27/160.16 | Equations (291) can reduce 296 to:
% 199.27/160.16 | (62) $false
% 199.27/160.16 |
% 199.27/160.16 |-The branch is then unsatisfiable
% 199.27/160.16 |-Branch two:
% 199.27/160.16 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.16 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.16 | (291) all_763_0_313 = 0
% 199.27/160.16 |
% 199.27/160.16 | Equations (291) can reduce 296 to:
% 199.27/160.16 | (62) $false
% 199.27/160.16 |
% 199.27/160.16 |-The branch is then unsatisfiable
% 199.27/160.16 |-Branch two:
% 199.27/160.16 | (2026) ~ (all_1033_0_3796 = 0) & greater_or_equal(all_1033_1_3797, all_33_1_35) = all_1033_0_3796 & end_time(all_33_4_38) = all_1033_1_3797
% 199.27/160.16 |
% 199.27/160.16 | Applying alpha-rule on (2026) yields:
% 199.27/160.16 | (2027) ~ (all_1033_0_3796 = 0)
% 199.27/160.16 | (2028) greater_or_equal(all_1033_1_3797, all_33_1_35) = all_1033_0_3796
% 199.27/160.16 | (2029) end_time(all_33_4_38) = all_1033_1_3797
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (43) with all_33_4_38, all_1033_1_3797, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_3797, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.16 | (2030) all_1033_1_3797 = all_33_1_35
% 199.27/160.16 |
% 199.27/160.16 | From (2030) and (2028) follows:
% 199.27/160.16 | (2031) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_3796
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (34) with all_1033_0_3796, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_3796, yields:
% 199.27/160.16 | (2032) all_1033_0_3796 = 0
% 199.27/160.16 |
% 199.27/160.16 | Equations (2032) can reduce 2027 to:
% 199.27/160.16 | (62) $false
% 199.27/160.16 |
% 199.27/160.16 |-The branch is then unsatisfiable
% 199.27/160.16 |-Branch two:
% 199.27/160.16 | (2034) ~ (all_1033_1_3797 = 0) & environment(all_33_4_38) = all_1033_1_3797
% 199.27/160.16 |
% 199.27/160.16 | Applying alpha-rule on (2034) yields:
% 199.27/160.16 | (2035) ~ (all_1033_1_3797 = 0)
% 199.27/160.16 | (2036) environment(all_33_4_38) = all_1033_1_3797
% 199.27/160.16 |
% 199.27/160.16 | Instantiating formula (35) with all_33_4_38, all_1033_1_3797, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_3797, environment(all_33_4_38) = 0, yields:
% 199.27/160.16 | (2018) all_1033_1_3797 = 0
% 199.27/160.16 |
% 199.27/160.16 | Equations (2018) can reduce 2035 to:
% 199.27/160.16 | (62) $false
% 199.27/160.16 |
% 199.27/160.17 |-The branch is then unsatisfiable
% 199.27/160.17 |-Branch two:
% 199.27/160.17 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (403) yields:
% 199.27/160.17 | (404) ~ (all_569_1_284 = 0)
% 199.27/160.17 | (405) environment(all_33_4_38) = all_569_1_284
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.27/160.17 | (406) all_569_1_284 = 0
% 199.27/160.17 |
% 199.27/160.17 | Equations (406) can reduce 404 to:
% 199.27/160.17 | (62) $false
% 199.27/160.17 |
% 199.27/160.17 |-The branch is then unsatisfiable
% 199.27/160.17 |-Branch two:
% 199.27/160.17 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (484) yields:
% 199.27/160.17 | (485) ~ (all_568_1_282 = 0)
% 199.27/160.17 | (486) environment(all_33_4_38) = all_568_1_282
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 199.27/160.17 | (487) all_568_1_282 = 0
% 199.27/160.17 |
% 199.27/160.17 | Equations (487) can reduce 485 to:
% 199.27/160.17 | (62) $false
% 199.27/160.17 |
% 199.27/160.17 |-The branch is then unsatisfiable
% 199.27/160.17 |-Branch two:
% 199.27/160.17 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (653) yields:
% 199.27/160.17 | (654) ~ (all_564_1_273 = 0)
% 199.27/160.17 | (655) environment(all_33_4_38) = all_564_1_273
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 199.27/160.17 | (656) all_564_1_273 = 0
% 199.27/160.17 |
% 199.27/160.17 | Equations (656) can reduce 654 to:
% 199.27/160.17 | (62) $false
% 199.27/160.17 |
% 199.27/160.17 |-The branch is then unsatisfiable
% 199.27/160.17 |-Branch two:
% 199.27/160.17 | (658) all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (658) yields:
% 199.27/160.17 | (319) all_559_0_261 = 0
% 199.27/160.17 | (660) greater(all_60_2_75, all_559_1_262) = 0
% 199.27/160.17 | (321) end_time(all_33_4_38) = all_559_1_262
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.17 | (322) all_559_1_262 = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 | From (322) and (321) follows:
% 199.27/160.17 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (276), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (324), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (325) yields:
% 199.27/160.17 | (326) all_564_0_272 = 0
% 199.27/160.17 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 199.27/160.17 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.17 | (329) all_564_1_273 = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 | From (329) and (328) follows:
% 199.27/160.17 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (277), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (331), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (332) yields:
% 199.27/160.17 | (333) all_568_0_281 = 0
% 199.27/160.17 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 199.27/160.17 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.17 | (336) all_568_1_282 = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 | From (336) and (335) follows:
% 199.27/160.17 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (278), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (338), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (339) yields:
% 199.27/160.17 | (340) all_569_0_283 = 0
% 199.27/160.17 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.27/160.17 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.17 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 | From (343) and (342) follows:
% 199.27/160.17 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.17 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.17 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.17 |
% 199.27/160.17 | Instantiating (345) with all_1038_0_3880, all_1038_1_3881 yields:
% 199.27/160.17 | (2083) (all_1038_1_3881 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_3880 = 0) & greater_or_equal(all_1038_1_3881, all_33_1_35) = all_1038_0_3880 & end_time(all_33_4_38) = all_1038_1_3881) | ( ~ (all_1038_1_3881 = 0) & environment(all_33_4_38) = all_1038_1_3881)
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (291) all_763_0_313 = 0
% 199.27/160.17 |
% 199.27/160.17 | Equations (291) can reduce 296 to:
% 199.27/160.17 | (62) $false
% 199.27/160.17 |
% 199.27/160.17 |-The branch is then unsatisfiable
% 199.27/160.17 |-Branch two:
% 199.27/160.17 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.17 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (2083), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (2088) (all_1038_1_3881 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_3880 = 0) & greater_or_equal(all_1038_1_3881, all_33_1_35) = all_1038_0_3880 & end_time(all_33_4_38) = all_1038_1_3881)
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (2088), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (2089) all_1038_1_3881 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (2089) yields:
% 199.27/160.17 | (2090) all_1038_1_3881 = 0
% 199.27/160.17 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.17 | (291) all_763_0_313 = 0
% 199.27/160.17 |
% 199.27/160.17 | Equations (291) can reduce 296 to:
% 199.27/160.17 | (62) $false
% 199.27/160.17 |
% 199.27/160.17 |-The branch is then unsatisfiable
% 199.27/160.17 |-Branch two:
% 199.27/160.17 | (2094) ~ (all_1038_0_3880 = 0) & greater_or_equal(all_1038_1_3881, all_33_1_35) = all_1038_0_3880 & end_time(all_33_4_38) = all_1038_1_3881
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (2094) yields:
% 199.27/160.17 | (2095) ~ (all_1038_0_3880 = 0)
% 199.27/160.17 | (2096) greater_or_equal(all_1038_1_3881, all_33_1_35) = all_1038_0_3880
% 199.27/160.17 | (2097) end_time(all_33_4_38) = all_1038_1_3881
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (43) with all_33_4_38, all_1038_1_3881, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_3881, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.17 | (2098) all_1038_1_3881 = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 | From (2098) and (2096) follows:
% 199.27/160.17 | (2099) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_3880
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (34) with all_1038_0_3880, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_3880, yields:
% 199.27/160.17 | (2100) all_1038_0_3880 = 0
% 199.27/160.17 |
% 199.27/160.17 | Equations (2100) can reduce 2095 to:
% 199.27/160.17 | (62) $false
% 199.27/160.17 |
% 199.27/160.17 |-The branch is then unsatisfiable
% 199.27/160.17 |-Branch two:
% 199.27/160.17 | (2102) ~ (all_1038_1_3881 = 0) & environment(all_33_4_38) = all_1038_1_3881
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (2102) yields:
% 199.27/160.17 | (2103) ~ (all_1038_1_3881 = 0)
% 199.27/160.17 | (2104) environment(all_33_4_38) = all_1038_1_3881
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (35) with all_33_4_38, all_1038_1_3881, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_3881, environment(all_33_4_38) = 0, yields:
% 199.27/160.17 | (2090) all_1038_1_3881 = 0
% 199.27/160.17 |
% 199.27/160.17 | Equations (2090) can reduce 2103 to:
% 199.27/160.17 | (62) $false
% 199.27/160.17 |
% 199.27/160.17 |-The branch is then unsatisfiable
% 199.27/160.17 |-Branch two:
% 199.27/160.17 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (371) yields:
% 199.27/160.17 | (340) all_569_0_283 = 0
% 199.27/160.17 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.27/160.17 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.17 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 | From (343) and (342) follows:
% 199.27/160.17 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.17 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.17 |
% 199.27/160.17 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.17 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.17 |
% 199.27/160.17 | Instantiating (345) with all_1037_0_3946, all_1037_1_3947 yields:
% 199.27/160.17 | (2115) (all_1037_1_3947 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_3946 = 0) & greater_or_equal(all_1037_1_3947, all_33_1_35) = all_1037_0_3946 & end_time(all_33_4_38) = all_1037_1_3947) | ( ~ (all_1037_1_3947 = 0) & environment(all_33_4_38) = all_1037_1_3947)
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (2115), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (2116) (all_1037_1_3947 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_3946 = 0) & greater_or_equal(all_1037_1_3947, all_33_1_35) = all_1037_0_3946 & end_time(all_33_4_38) = all_1037_1_3947)
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (2116), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (2117) all_1037_1_3947 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.17 |
% 199.27/160.17 | Applying alpha-rule on (2117) yields:
% 199.27/160.17 | (2118) all_1037_1_3947 = 0
% 199.27/160.17 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.17 |
% 199.27/160.17 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.17 |-Branch one:
% 199.27/160.17 | (291) all_763_0_313 = 0
% 199.27/160.17 |
% 199.27/160.17 | Equations (291) can reduce 296 to:
% 199.27/160.17 | (62) $false
% 199.27/160.17 |
% 199.27/160.17 |-The branch is then unsatisfiable
% 199.27/160.17 |-Branch two:
% 199.27/160.17 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.17 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.18 | (291) all_763_0_313 = 0
% 199.27/160.18 |
% 199.27/160.18 | Equations (291) can reduce 296 to:
% 199.27/160.18 | (62) $false
% 199.27/160.18 |
% 199.27/160.18 |-The branch is then unsatisfiable
% 199.27/160.18 |-Branch two:
% 199.27/160.18 | (2126) ~ (all_1037_0_3946 = 0) & greater_or_equal(all_1037_1_3947, all_33_1_35) = all_1037_0_3946 & end_time(all_33_4_38) = all_1037_1_3947
% 199.27/160.18 |
% 199.27/160.18 | Applying alpha-rule on (2126) yields:
% 199.27/160.18 | (2127) ~ (all_1037_0_3946 = 0)
% 199.27/160.18 | (2128) greater_or_equal(all_1037_1_3947, all_33_1_35) = all_1037_0_3946
% 199.27/160.18 | (2129) end_time(all_33_4_38) = all_1037_1_3947
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (43) with all_33_4_38, all_1037_1_3947, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_3947, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.18 | (2130) all_1037_1_3947 = all_33_1_35
% 199.27/160.18 |
% 199.27/160.18 | From (2130) and (2128) follows:
% 199.27/160.18 | (2131) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_3946
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (34) with all_1037_0_3946, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_3946, yields:
% 199.27/160.18 | (2132) all_1037_0_3946 = 0
% 199.27/160.18 |
% 199.27/160.18 | Equations (2132) can reduce 2127 to:
% 199.27/160.18 | (62) $false
% 199.27/160.18 |
% 199.27/160.18 |-The branch is then unsatisfiable
% 199.27/160.18 |-Branch two:
% 199.27/160.18 | (2134) ~ (all_1037_1_3947 = 0) & environment(all_33_4_38) = all_1037_1_3947
% 199.27/160.18 |
% 199.27/160.18 | Applying alpha-rule on (2134) yields:
% 199.27/160.18 | (2135) ~ (all_1037_1_3947 = 0)
% 199.27/160.18 | (2136) environment(all_33_4_38) = all_1037_1_3947
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (35) with all_33_4_38, all_1037_1_3947, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_3947, environment(all_33_4_38) = 0, yields:
% 199.27/160.18 | (2118) all_1037_1_3947 = 0
% 199.27/160.18 |
% 199.27/160.18 | Equations (2118) can reduce 2135 to:
% 199.27/160.18 | (62) $false
% 199.27/160.18 |
% 199.27/160.18 |-The branch is then unsatisfiable
% 199.27/160.18 |-Branch two:
% 199.27/160.18 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.27/160.18 |
% 199.27/160.18 | Applying alpha-rule on (403) yields:
% 199.27/160.18 | (404) ~ (all_569_1_284 = 0)
% 199.27/160.18 | (405) environment(all_33_4_38) = all_569_1_284
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.27/160.18 | (406) all_569_1_284 = 0
% 199.27/160.18 |
% 199.27/160.18 | Equations (406) can reduce 404 to:
% 199.27/160.18 | (62) $false
% 199.27/160.18 |
% 199.27/160.18 |-The branch is then unsatisfiable
% 199.27/160.18 |-Branch two:
% 199.27/160.18 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.27/160.18 |
% 199.27/160.18 | Applying alpha-rule on (408) yields:
% 199.27/160.18 | (333) all_568_0_281 = 0
% 199.27/160.18 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 199.27/160.18 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.18 | (336) all_568_1_282 = all_33_1_35
% 199.27/160.18 |
% 199.27/160.18 | From (336) and (335) follows:
% 199.27/160.18 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.18 |
% 199.27/160.18 +-Applying beta-rule and splitting (278), into two cases.
% 199.27/160.18 |-Branch one:
% 199.27/160.18 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.27/160.18 |
% 199.27/160.18 +-Applying beta-rule and splitting (338), into two cases.
% 199.27/160.18 |-Branch one:
% 199.27/160.18 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.18 |
% 199.27/160.18 | Applying alpha-rule on (339) yields:
% 199.27/160.18 | (340) all_569_0_283 = 0
% 199.27/160.18 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.27/160.18 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.18 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.18 |
% 199.27/160.18 | From (343) and (342) follows:
% 199.27/160.18 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.18 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.18 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.18 |
% 199.27/160.18 | Instantiating (345) with all_1037_0_4020, all_1037_1_4021 yields:
% 199.27/160.18 | (2159) (all_1037_1_4021 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_4020 = 0) & greater_or_equal(all_1037_1_4021, all_33_1_35) = all_1037_0_4020 & end_time(all_33_4_38) = all_1037_1_4021) | ( ~ (all_1037_1_4021 = 0) & environment(all_33_4_38) = all_1037_1_4021)
% 199.27/160.18 |
% 199.27/160.18 +-Applying beta-rule and splitting (2159), into two cases.
% 199.27/160.18 |-Branch one:
% 199.27/160.18 | (2160) (all_1037_1_4021 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_4020 = 0) & greater_or_equal(all_1037_1_4021, all_33_1_35) = all_1037_0_4020 & end_time(all_33_4_38) = all_1037_1_4021)
% 199.27/160.18 |
% 199.27/160.18 +-Applying beta-rule and splitting (2160), into two cases.
% 199.27/160.18 |-Branch one:
% 199.27/160.18 | (2161) all_1037_1_4021 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.18 |
% 199.27/160.18 | Applying alpha-rule on (2161) yields:
% 199.27/160.18 | (2162) all_1037_1_4021 = 0
% 199.27/160.18 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.18 |
% 199.27/160.18 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.18 |-Branch one:
% 199.27/160.18 | (291) all_763_0_313 = 0
% 199.27/160.18 |
% 199.27/160.18 | Equations (291) can reduce 296 to:
% 199.27/160.18 | (62) $false
% 199.27/160.18 |
% 199.27/160.18 |-The branch is then unsatisfiable
% 199.27/160.18 |-Branch two:
% 199.27/160.18 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.18 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.18 | (291) all_763_0_313 = 0
% 199.27/160.18 |
% 199.27/160.18 | Equations (291) can reduce 296 to:
% 199.27/160.18 | (62) $false
% 199.27/160.18 |
% 199.27/160.18 |-The branch is then unsatisfiable
% 199.27/160.18 |-Branch two:
% 199.27/160.18 | (2170) ~ (all_1037_0_4020 = 0) & greater_or_equal(all_1037_1_4021, all_33_1_35) = all_1037_0_4020 & end_time(all_33_4_38) = all_1037_1_4021
% 199.27/160.18 |
% 199.27/160.18 | Applying alpha-rule on (2170) yields:
% 199.27/160.18 | (2171) ~ (all_1037_0_4020 = 0)
% 199.27/160.18 | (2172) greater_or_equal(all_1037_1_4021, all_33_1_35) = all_1037_0_4020
% 199.27/160.18 | (2173) end_time(all_33_4_38) = all_1037_1_4021
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (43) with all_33_4_38, all_1037_1_4021, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_4021, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.18 | (2174) all_1037_1_4021 = all_33_1_35
% 199.27/160.18 |
% 199.27/160.18 | From (2174) and (2172) follows:
% 199.27/160.18 | (2175) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_4020
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (34) with all_1037_0_4020, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_4020, yields:
% 199.27/160.18 | (2176) all_1037_0_4020 = 0
% 199.27/160.18 |
% 199.27/160.18 | Equations (2176) can reduce 2171 to:
% 199.27/160.18 | (62) $false
% 199.27/160.18 |
% 199.27/160.18 |-The branch is then unsatisfiable
% 199.27/160.18 |-Branch two:
% 199.27/160.18 | (2178) ~ (all_1037_1_4021 = 0) & environment(all_33_4_38) = all_1037_1_4021
% 199.27/160.18 |
% 199.27/160.18 | Applying alpha-rule on (2178) yields:
% 199.27/160.18 | (2179) ~ (all_1037_1_4021 = 0)
% 199.27/160.18 | (2180) environment(all_33_4_38) = all_1037_1_4021
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (35) with all_33_4_38, all_1037_1_4021, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_4021, environment(all_33_4_38) = 0, yields:
% 199.27/160.18 | (2162) all_1037_1_4021 = 0
% 199.27/160.18 |
% 199.27/160.18 | Equations (2162) can reduce 2179 to:
% 199.27/160.18 | (62) $false
% 199.27/160.18 |
% 199.27/160.18 |-The branch is then unsatisfiable
% 199.27/160.18 |-Branch two:
% 199.27/160.18 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.18 |
% 199.27/160.18 | Applying alpha-rule on (371) yields:
% 199.27/160.18 | (340) all_569_0_283 = 0
% 199.27/160.18 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.27/160.18 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.18 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.18 |
% 199.27/160.18 | From (343) and (342) follows:
% 199.27/160.18 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.18 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.18 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.18 |
% 199.27/160.18 | Instantiating (345) with all_1033_0_4086, all_1033_1_4087 yields:
% 199.27/160.18 | (2191) (all_1033_1_4087 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4086 = 0) & greater_or_equal(all_1033_1_4087, all_33_1_35) = all_1033_0_4086 & end_time(all_33_4_38) = all_1033_1_4087) | ( ~ (all_1033_1_4087 = 0) & environment(all_33_4_38) = all_1033_1_4087)
% 199.27/160.18 |
% 199.27/160.18 +-Applying beta-rule and splitting (2191), into two cases.
% 199.27/160.18 |-Branch one:
% 199.27/160.18 | (2192) (all_1033_1_4087 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4086 = 0) & greater_or_equal(all_1033_1_4087, all_33_1_35) = all_1033_0_4086 & end_time(all_33_4_38) = all_1033_1_4087)
% 199.27/160.18 |
% 199.27/160.18 +-Applying beta-rule and splitting (2192), into two cases.
% 199.27/160.18 |-Branch one:
% 199.27/160.18 | (2193) all_1033_1_4087 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.18 |
% 199.27/160.18 | Applying alpha-rule on (2193) yields:
% 199.27/160.18 | (2194) all_1033_1_4087 = 0
% 199.27/160.18 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.18 |
% 199.27/160.18 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.18 |-Branch one:
% 199.27/160.18 | (291) all_763_0_313 = 0
% 199.27/160.18 |
% 199.27/160.18 | Equations (291) can reduce 296 to:
% 199.27/160.18 | (62) $false
% 199.27/160.18 |
% 199.27/160.18 |-The branch is then unsatisfiable
% 199.27/160.18 |-Branch two:
% 199.27/160.18 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.18 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.18 |
% 199.27/160.18 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.18 | (291) all_763_0_313 = 0
% 199.27/160.18 |
% 199.27/160.18 | Equations (291) can reduce 296 to:
% 199.27/160.18 | (62) $false
% 199.27/160.18 |
% 199.27/160.18 |-The branch is then unsatisfiable
% 199.27/160.18 |-Branch two:
% 199.27/160.18 | (2202) ~ (all_1033_0_4086 = 0) & greater_or_equal(all_1033_1_4087, all_33_1_35) = all_1033_0_4086 & end_time(all_33_4_38) = all_1033_1_4087
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (2202) yields:
% 199.27/160.19 | (2203) ~ (all_1033_0_4086 = 0)
% 199.27/160.19 | (2204) greater_or_equal(all_1033_1_4087, all_33_1_35) = all_1033_0_4086
% 199.27/160.19 | (2205) end_time(all_33_4_38) = all_1033_1_4087
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (43) with all_33_4_38, all_1033_1_4087, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_4087, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.19 | (2206) all_1033_1_4087 = all_33_1_35
% 199.27/160.19 |
% 199.27/160.19 | From (2206) and (2204) follows:
% 199.27/160.19 | (2207) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4086
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (34) with all_1033_0_4086, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4086, yields:
% 199.27/160.19 | (2208) all_1033_0_4086 = 0
% 199.27/160.19 |
% 199.27/160.19 | Equations (2208) can reduce 2203 to:
% 199.27/160.19 | (62) $false
% 199.27/160.19 |
% 199.27/160.19 |-The branch is then unsatisfiable
% 199.27/160.19 |-Branch two:
% 199.27/160.19 | (2210) ~ (all_1033_1_4087 = 0) & environment(all_33_4_38) = all_1033_1_4087
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (2210) yields:
% 199.27/160.19 | (2211) ~ (all_1033_1_4087 = 0)
% 199.27/160.19 | (2212) environment(all_33_4_38) = all_1033_1_4087
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (35) with all_33_4_38, all_1033_1_4087, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_4087, environment(all_33_4_38) = 0, yields:
% 199.27/160.19 | (2194) all_1033_1_4087 = 0
% 199.27/160.19 |
% 199.27/160.19 | Equations (2194) can reduce 2211 to:
% 199.27/160.19 | (62) $false
% 199.27/160.19 |
% 199.27/160.19 |-The branch is then unsatisfiable
% 199.27/160.19 |-Branch two:
% 199.27/160.19 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (403) yields:
% 199.27/160.19 | (404) ~ (all_569_1_284 = 0)
% 199.27/160.19 | (405) environment(all_33_4_38) = all_569_1_284
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.27/160.19 | (406) all_569_1_284 = 0
% 199.27/160.19 |
% 199.27/160.19 | Equations (406) can reduce 404 to:
% 199.27/160.19 | (62) $false
% 199.27/160.19 |
% 199.27/160.19 |-The branch is then unsatisfiable
% 199.27/160.19 |-Branch two:
% 199.27/160.19 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (484) yields:
% 199.27/160.19 | (485) ~ (all_568_1_282 = 0)
% 199.27/160.19 | (486) environment(all_33_4_38) = all_568_1_282
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 199.27/160.19 | (487) all_568_1_282 = 0
% 199.27/160.19 |
% 199.27/160.19 | Equations (487) can reduce 485 to:
% 199.27/160.19 | (62) $false
% 199.27/160.19 |
% 199.27/160.19 |-The branch is then unsatisfiable
% 199.27/160.19 |-Branch two:
% 199.27/160.19 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (489) yields:
% 199.27/160.19 | (326) all_564_0_272 = 0
% 199.27/160.19 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 199.27/160.19 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.19 | (329) all_564_1_273 = all_33_1_35
% 199.27/160.19 |
% 199.27/160.19 | From (329) and (328) follows:
% 199.27/160.19 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.19 |
% 199.27/160.19 +-Applying beta-rule and splitting (277), into two cases.
% 199.27/160.19 |-Branch one:
% 199.27/160.19 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 199.27/160.19 |
% 199.27/160.19 +-Applying beta-rule and splitting (331), into two cases.
% 199.27/160.19 |-Branch one:
% 199.27/160.19 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (332) yields:
% 199.27/160.19 | (333) all_568_0_281 = 0
% 199.27/160.19 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 199.27/160.19 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.19 | (336) all_568_1_282 = all_33_1_35
% 199.27/160.19 |
% 199.27/160.19 | From (336) and (335) follows:
% 199.27/160.19 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.19 |
% 199.27/160.19 +-Applying beta-rule and splitting (278), into two cases.
% 199.27/160.19 |-Branch one:
% 199.27/160.19 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.27/160.19 |
% 199.27/160.19 +-Applying beta-rule and splitting (338), into two cases.
% 199.27/160.19 |-Branch one:
% 199.27/160.19 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (339) yields:
% 199.27/160.19 | (340) all_569_0_283 = 0
% 199.27/160.19 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.27/160.19 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.19 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.19 |
% 199.27/160.19 | From (343) and (342) follows:
% 199.27/160.19 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.27/160.19 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.27/160.19 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.19 |
% 199.27/160.19 | Instantiating (345) with all_1037_0_4166, all_1037_1_4167 yields:
% 199.27/160.19 | (2247) (all_1037_1_4167 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_4166 = 0) & greater_or_equal(all_1037_1_4167, all_33_1_35) = all_1037_0_4166 & end_time(all_33_4_38) = all_1037_1_4167) | ( ~ (all_1037_1_4167 = 0) & environment(all_33_4_38) = all_1037_1_4167)
% 199.27/160.19 |
% 199.27/160.19 +-Applying beta-rule and splitting (2247), into two cases.
% 199.27/160.19 |-Branch one:
% 199.27/160.19 | (2248) (all_1037_1_4167 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_4166 = 0) & greater_or_equal(all_1037_1_4167, all_33_1_35) = all_1037_0_4166 & end_time(all_33_4_38) = all_1037_1_4167)
% 199.27/160.19 |
% 199.27/160.19 +-Applying beta-rule and splitting (2248), into two cases.
% 199.27/160.19 |-Branch one:
% 199.27/160.19 | (2249) all_1037_1_4167 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (2249) yields:
% 199.27/160.19 | (2250) all_1037_1_4167 = 0
% 199.27/160.19 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.27/160.19 |
% 199.27/160.19 +-Applying beta-rule and splitting (346), into two cases.
% 199.27/160.19 |-Branch one:
% 199.27/160.19 | (291) all_763_0_313 = 0
% 199.27/160.19 |
% 199.27/160.19 | Equations (291) can reduce 296 to:
% 199.27/160.19 | (62) $false
% 199.27/160.19 |
% 199.27/160.19 |-The branch is then unsatisfiable
% 199.27/160.19 |-Branch two:
% 199.27/160.19 | (296) ~ (all_763_0_313 = 0)
% 199.27/160.19 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.27/160.19 | (291) all_763_0_313 = 0
% 199.27/160.19 |
% 199.27/160.19 | Equations (291) can reduce 296 to:
% 199.27/160.19 | (62) $false
% 199.27/160.19 |
% 199.27/160.19 |-The branch is then unsatisfiable
% 199.27/160.19 |-Branch two:
% 199.27/160.19 | (2258) ~ (all_1037_0_4166 = 0) & greater_or_equal(all_1037_1_4167, all_33_1_35) = all_1037_0_4166 & end_time(all_33_4_38) = all_1037_1_4167
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (2258) yields:
% 199.27/160.19 | (2259) ~ (all_1037_0_4166 = 0)
% 199.27/160.19 | (2260) greater_or_equal(all_1037_1_4167, all_33_1_35) = all_1037_0_4166
% 199.27/160.19 | (2261) end_time(all_33_4_38) = all_1037_1_4167
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (43) with all_33_4_38, all_1037_1_4167, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_4167, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.19 | (2262) all_1037_1_4167 = all_33_1_35
% 199.27/160.19 |
% 199.27/160.19 | From (2262) and (2260) follows:
% 199.27/160.19 | (2263) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_4166
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (34) with all_1037_0_4166, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_4166, yields:
% 199.27/160.19 | (2264) all_1037_0_4166 = 0
% 199.27/160.19 |
% 199.27/160.19 | Equations (2264) can reduce 2259 to:
% 199.27/160.19 | (62) $false
% 199.27/160.19 |
% 199.27/160.19 |-The branch is then unsatisfiable
% 199.27/160.19 |-Branch two:
% 199.27/160.19 | (2266) ~ (all_1037_1_4167 = 0) & environment(all_33_4_38) = all_1037_1_4167
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (2266) yields:
% 199.27/160.19 | (2267) ~ (all_1037_1_4167 = 0)
% 199.27/160.19 | (2268) environment(all_33_4_38) = all_1037_1_4167
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (35) with all_33_4_38, all_1037_1_4167, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_4167, environment(all_33_4_38) = 0, yields:
% 199.27/160.19 | (2250) all_1037_1_4167 = 0
% 199.27/160.19 |
% 199.27/160.19 | Equations (2250) can reduce 2267 to:
% 199.27/160.19 | (62) $false
% 199.27/160.19 |
% 199.27/160.19 |-The branch is then unsatisfiable
% 199.27/160.19 |-Branch two:
% 199.27/160.19 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.27/160.19 |
% 199.27/160.19 | Applying alpha-rule on (371) yields:
% 199.27/160.19 | (340) all_569_0_283 = 0
% 199.27/160.19 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.27/160.19 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.27/160.19 | (343) all_569_1_284 = all_33_1_35
% 199.27/160.19 |
% 199.27/160.19 | From (343) and (342) follows:
% 199.27/160.19 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.27/160.19 |
% 199.27/160.19 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.19 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.19 |
% 199.62/160.19 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.19 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.19 |
% 199.62/160.19 | Instantiating (345) with all_1033_0_4232, all_1033_1_4233 yields:
% 199.62/160.20 | (2279) (all_1033_1_4233 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4232 = 0) & greater_or_equal(all_1033_1_4233, all_33_1_35) = all_1033_0_4232 & end_time(all_33_4_38) = all_1033_1_4233) | ( ~ (all_1033_1_4233 = 0) & environment(all_33_4_38) = all_1033_1_4233)
% 199.62/160.20 |
% 199.62/160.20 +-Applying beta-rule and splitting (2279), into two cases.
% 199.62/160.20 |-Branch one:
% 199.62/160.20 | (2280) (all_1033_1_4233 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4232 = 0) & greater_or_equal(all_1033_1_4233, all_33_1_35) = all_1033_0_4232 & end_time(all_33_4_38) = all_1033_1_4233)
% 199.62/160.20 |
% 199.62/160.20 +-Applying beta-rule and splitting (2280), into two cases.
% 199.62/160.20 |-Branch one:
% 199.62/160.20 | (2281) all_1033_1_4233 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.20 |
% 199.62/160.20 | Applying alpha-rule on (2281) yields:
% 199.62/160.20 | (2282) all_1033_1_4233 = 0
% 199.62/160.20 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.20 |
% 199.62/160.20 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.20 |-Branch one:
% 199.62/160.20 | (291) all_763_0_313 = 0
% 199.62/160.20 |
% 199.62/160.20 | Equations (291) can reduce 296 to:
% 199.62/160.20 | (62) $false
% 199.62/160.20 |
% 199.62/160.20 |-The branch is then unsatisfiable
% 199.62/160.20 |-Branch two:
% 199.62/160.20 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.20 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.20 | (291) all_763_0_313 = 0
% 199.62/160.20 |
% 199.62/160.20 | Equations (291) can reduce 296 to:
% 199.62/160.20 | (62) $false
% 199.62/160.20 |
% 199.62/160.20 |-The branch is then unsatisfiable
% 199.62/160.20 |-Branch two:
% 199.62/160.20 | (2290) ~ (all_1033_0_4232 = 0) & greater_or_equal(all_1033_1_4233, all_33_1_35) = all_1033_0_4232 & end_time(all_33_4_38) = all_1033_1_4233
% 199.62/160.20 |
% 199.62/160.20 | Applying alpha-rule on (2290) yields:
% 199.62/160.20 | (2291) ~ (all_1033_0_4232 = 0)
% 199.62/160.20 | (2292) greater_or_equal(all_1033_1_4233, all_33_1_35) = all_1033_0_4232
% 199.62/160.20 | (2293) end_time(all_33_4_38) = all_1033_1_4233
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (43) with all_33_4_38, all_1033_1_4233, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_4233, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.20 | (2294) all_1033_1_4233 = all_33_1_35
% 199.62/160.20 |
% 199.62/160.20 | From (2294) and (2292) follows:
% 199.62/160.20 | (2295) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4232
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (34) with all_1033_0_4232, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4232, yields:
% 199.62/160.20 | (2296) all_1033_0_4232 = 0
% 199.62/160.20 |
% 199.62/160.20 | Equations (2296) can reduce 2291 to:
% 199.62/160.20 | (62) $false
% 199.62/160.20 |
% 199.62/160.20 |-The branch is then unsatisfiable
% 199.62/160.20 |-Branch two:
% 199.62/160.20 | (2298) ~ (all_1033_1_4233 = 0) & environment(all_33_4_38) = all_1033_1_4233
% 199.62/160.20 |
% 199.62/160.20 | Applying alpha-rule on (2298) yields:
% 199.62/160.20 | (2299) ~ (all_1033_1_4233 = 0)
% 199.62/160.20 | (2300) environment(all_33_4_38) = all_1033_1_4233
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (35) with all_33_4_38, all_1033_1_4233, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_4233, environment(all_33_4_38) = 0, yields:
% 199.62/160.20 | (2282) all_1033_1_4233 = 0
% 199.62/160.20 |
% 199.62/160.20 | Equations (2282) can reduce 2299 to:
% 199.62/160.20 | (62) $false
% 199.62/160.20 |
% 199.62/160.20 |-The branch is then unsatisfiable
% 199.62/160.20 |-Branch two:
% 199.62/160.20 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.62/160.20 |
% 199.62/160.20 | Applying alpha-rule on (403) yields:
% 199.62/160.20 | (404) ~ (all_569_1_284 = 0)
% 199.62/160.20 | (405) environment(all_33_4_38) = all_569_1_284
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.62/160.20 | (406) all_569_1_284 = 0
% 199.62/160.20 |
% 199.62/160.20 | Equations (406) can reduce 404 to:
% 199.62/160.20 | (62) $false
% 199.62/160.20 |
% 199.62/160.20 |-The branch is then unsatisfiable
% 199.62/160.20 |-Branch two:
% 199.62/160.20 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.62/160.20 |
% 199.62/160.20 | Applying alpha-rule on (408) yields:
% 199.62/160.20 | (333) all_568_0_281 = 0
% 199.62/160.20 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 199.62/160.20 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.20 | (336) all_568_1_282 = all_33_1_35
% 199.62/160.20 |
% 199.62/160.20 | From (336) and (335) follows:
% 199.62/160.20 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.20 |
% 199.62/160.20 +-Applying beta-rule and splitting (278), into two cases.
% 199.62/160.20 |-Branch one:
% 199.62/160.20 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.62/160.20 |
% 199.62/160.20 +-Applying beta-rule and splitting (338), into two cases.
% 199.62/160.20 |-Branch one:
% 199.62/160.20 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.20 |
% 199.62/160.20 | Applying alpha-rule on (339) yields:
% 199.62/160.20 | (340) all_569_0_283 = 0
% 199.62/160.20 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.62/160.20 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.20 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.20 |
% 199.62/160.20 | From (343) and (342) follows:
% 199.62/160.20 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.20 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.20 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.20 |
% 199.62/160.20 | Instantiating (345) with all_1033_0_4304, all_1033_1_4305 yields:
% 199.62/160.20 | (2323) (all_1033_1_4305 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4304 = 0) & greater_or_equal(all_1033_1_4305, all_33_1_35) = all_1033_0_4304 & end_time(all_33_4_38) = all_1033_1_4305) | ( ~ (all_1033_1_4305 = 0) & environment(all_33_4_38) = all_1033_1_4305)
% 199.62/160.20 |
% 199.62/160.20 +-Applying beta-rule and splitting (2323), into two cases.
% 199.62/160.20 |-Branch one:
% 199.62/160.20 | (2324) (all_1033_1_4305 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4304 = 0) & greater_or_equal(all_1033_1_4305, all_33_1_35) = all_1033_0_4304 & end_time(all_33_4_38) = all_1033_1_4305)
% 199.62/160.20 |
% 199.62/160.20 +-Applying beta-rule and splitting (2324), into two cases.
% 199.62/160.20 |-Branch one:
% 199.62/160.20 | (2325) all_1033_1_4305 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.20 |
% 199.62/160.20 | Applying alpha-rule on (2325) yields:
% 199.62/160.20 | (2326) all_1033_1_4305 = 0
% 199.62/160.20 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.20 |
% 199.62/160.20 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.20 |-Branch one:
% 199.62/160.20 | (291) all_763_0_313 = 0
% 199.62/160.20 |
% 199.62/160.20 | Equations (291) can reduce 296 to:
% 199.62/160.20 | (62) $false
% 199.62/160.20 |
% 199.62/160.20 |-The branch is then unsatisfiable
% 199.62/160.20 |-Branch two:
% 199.62/160.20 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.20 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.20 | (291) all_763_0_313 = 0
% 199.62/160.20 |
% 199.62/160.20 | Equations (291) can reduce 296 to:
% 199.62/160.20 | (62) $false
% 199.62/160.20 |
% 199.62/160.20 |-The branch is then unsatisfiable
% 199.62/160.20 |-Branch two:
% 199.62/160.20 | (2334) ~ (all_1033_0_4304 = 0) & greater_or_equal(all_1033_1_4305, all_33_1_35) = all_1033_0_4304 & end_time(all_33_4_38) = all_1033_1_4305
% 199.62/160.20 |
% 199.62/160.20 | Applying alpha-rule on (2334) yields:
% 199.62/160.20 | (2335) ~ (all_1033_0_4304 = 0)
% 199.62/160.20 | (2336) greater_or_equal(all_1033_1_4305, all_33_1_35) = all_1033_0_4304
% 199.62/160.20 | (2337) end_time(all_33_4_38) = all_1033_1_4305
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (43) with all_33_4_38, all_1033_1_4305, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_4305, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.20 | (2338) all_1033_1_4305 = all_33_1_35
% 199.62/160.20 |
% 199.62/160.20 | From (2338) and (2336) follows:
% 199.62/160.20 | (2339) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4304
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (34) with all_1033_0_4304, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4304, yields:
% 199.62/160.20 | (2340) all_1033_0_4304 = 0
% 199.62/160.20 |
% 199.62/160.20 | Equations (2340) can reduce 2335 to:
% 199.62/160.20 | (62) $false
% 199.62/160.20 |
% 199.62/160.20 |-The branch is then unsatisfiable
% 199.62/160.20 |-Branch two:
% 199.62/160.20 | (2342) ~ (all_1033_1_4305 = 0) & environment(all_33_4_38) = all_1033_1_4305
% 199.62/160.20 |
% 199.62/160.20 | Applying alpha-rule on (2342) yields:
% 199.62/160.20 | (2343) ~ (all_1033_1_4305 = 0)
% 199.62/160.20 | (2344) environment(all_33_4_38) = all_1033_1_4305
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (35) with all_33_4_38, all_1033_1_4305, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_4305, environment(all_33_4_38) = 0, yields:
% 199.62/160.20 | (2326) all_1033_1_4305 = 0
% 199.62/160.20 |
% 199.62/160.20 | Equations (2326) can reduce 2343 to:
% 199.62/160.20 | (62) $false
% 199.62/160.20 |
% 199.62/160.20 |-The branch is then unsatisfiable
% 199.62/160.20 |-Branch two:
% 199.62/160.20 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.20 |
% 199.62/160.20 | Applying alpha-rule on (371) yields:
% 199.62/160.20 | (340) all_569_0_283 = 0
% 199.62/160.20 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.62/160.20 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.20 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.20 |
% 199.62/160.20 | From (343) and (342) follows:
% 199.62/160.20 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.20 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.20 |
% 199.62/160.20 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.20 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.20 |
% 199.62/160.20 | Instantiating (345) with all_1031_0_4371, all_1031_1_4372 yields:
% 199.62/160.20 | (2355) (all_1031_1_4372 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_4371 = 0) & greater_or_equal(all_1031_1_4372, all_33_1_35) = all_1031_0_4371 & end_time(all_33_4_38) = all_1031_1_4372) | ( ~ (all_1031_1_4372 = 0) & environment(all_33_4_38) = all_1031_1_4372)
% 199.62/160.20 |
% 199.62/160.20 +-Applying beta-rule and splitting (2355), into two cases.
% 199.62/160.20 |-Branch one:
% 199.62/160.20 | (2356) (all_1031_1_4372 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_4371 = 0) & greater_or_equal(all_1031_1_4372, all_33_1_35) = all_1031_0_4371 & end_time(all_33_4_38) = all_1031_1_4372)
% 199.62/160.20 |
% 199.62/160.20 +-Applying beta-rule and splitting (2356), into two cases.
% 199.62/160.20 |-Branch one:
% 199.62/160.21 | (2357) all_1031_1_4372 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (2357) yields:
% 199.62/160.21 | (2358) all_1031_1_4372 = 0
% 199.62/160.21 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (291) all_763_0_313 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (291) can reduce 296 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.21 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.21 | (291) all_763_0_313 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (291) can reduce 296 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (2366) ~ (all_1031_0_4371 = 0) & greater_or_equal(all_1031_1_4372, all_33_1_35) = all_1031_0_4371 & end_time(all_33_4_38) = all_1031_1_4372
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (2366) yields:
% 199.62/160.21 | (2367) ~ (all_1031_0_4371 = 0)
% 199.62/160.21 | (2368) greater_or_equal(all_1031_1_4372, all_33_1_35) = all_1031_0_4371
% 199.62/160.21 | (2369) end_time(all_33_4_38) = all_1031_1_4372
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (43) with all_33_4_38, all_1031_1_4372, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1031_1_4372, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.21 | (2370) all_1031_1_4372 = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 | From (2370) and (2368) follows:
% 199.62/160.21 | (2371) greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_4371
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (34) with all_1031_0_4371, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_4371, yields:
% 199.62/160.21 | (2372) all_1031_0_4371 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (2372) can reduce 2367 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (2374) ~ (all_1031_1_4372 = 0) & environment(all_33_4_38) = all_1031_1_4372
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (2374) yields:
% 199.62/160.21 | (2375) ~ (all_1031_1_4372 = 0)
% 199.62/160.21 | (2376) environment(all_33_4_38) = all_1031_1_4372
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (35) with all_33_4_38, all_1031_1_4372, 0 and discharging atoms environment(all_33_4_38) = all_1031_1_4372, environment(all_33_4_38) = 0, yields:
% 199.62/160.21 | (2358) all_1031_1_4372 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (2358) can reduce 2375 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (403) yields:
% 199.62/160.21 | (404) ~ (all_569_1_284 = 0)
% 199.62/160.21 | (405) environment(all_33_4_38) = all_569_1_284
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.62/160.21 | (406) all_569_1_284 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (406) can reduce 404 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (484) yields:
% 199.62/160.21 | (485) ~ (all_568_1_282 = 0)
% 199.62/160.21 | (486) environment(all_33_4_38) = all_568_1_282
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 199.62/160.21 | (487) all_568_1_282 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (487) can reduce 485 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (653) yields:
% 199.62/160.21 | (654) ~ (all_564_1_273 = 0)
% 199.62/160.21 | (655) environment(all_33_4_38) = all_564_1_273
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 199.62/160.21 | (656) all_564_1_273 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (656) can reduce 654 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (998) ~ (all_559_1_262 = 0) & environment(all_33_4_38) = all_559_1_262
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (998) yields:
% 199.62/160.21 | (999) ~ (all_559_1_262 = 0)
% 199.62/160.21 | (1000) environment(all_33_4_38) = all_559_1_262
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (35) with all_33_4_38, all_559_1_262, 0 and discharging atoms environment(all_33_4_38) = all_559_1_262, environment(all_33_4_38) = 0, yields:
% 199.62/160.21 | (1001) all_559_1_262 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (1001) can reduce 999 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (1003) all_557_0_257 = 0 & greater(all_135_2_141, all_557_1_258) = 0 & end_time(all_33_4_38) = all_557_1_258
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (1003) yields:
% 199.62/160.21 | (312) all_557_0_257 = 0
% 199.62/160.21 | (1005) greater(all_135_2_141, all_557_1_258) = 0
% 199.62/160.21 | (314) end_time(all_33_4_38) = all_557_1_258
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (43) with all_33_4_38, all_557_1_258, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_557_1_258, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.21 | (315) all_557_1_258 = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 | From (315) and (314) follows:
% 199.62/160.21 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (275), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (317) (all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262) | (all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262)
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (317), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (318) all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (318) yields:
% 199.62/160.21 | (319) all_559_0_261 = 0
% 199.62/160.21 | (320) greater_or_equal(all_559_1_262, all_60_2_75) = 0
% 199.62/160.21 | (321) end_time(all_33_4_38) = all_559_1_262
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.21 | (322) all_559_1_262 = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 | From (322) and (321) follows:
% 199.62/160.21 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (276), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (324), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (325) yields:
% 199.62/160.21 | (326) all_564_0_272 = 0
% 199.62/160.21 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 199.62/160.21 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.21 | (329) all_564_1_273 = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 | From (329) and (328) follows:
% 199.62/160.21 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (277), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (331), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (332) yields:
% 199.62/160.21 | (333) all_568_0_281 = 0
% 199.62/160.21 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 199.62/160.21 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.21 | (336) all_568_1_282 = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 | From (336) and (335) follows:
% 199.62/160.21 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (278), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (338), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (339) yields:
% 199.62/160.21 | (340) all_569_0_283 = 0
% 199.62/160.21 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.62/160.21 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.21 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 | From (343) and (342) follows:
% 199.62/160.21 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.21 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.21 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.21 |
% 199.62/160.21 | Instantiating (345) with all_1038_0_4462, all_1038_1_4463 yields:
% 199.62/160.21 | (2435) (all_1038_1_4463 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_4462 = 0) & greater_or_equal(all_1038_1_4463, all_33_1_35) = all_1038_0_4462 & end_time(all_33_4_38) = all_1038_1_4463) | ( ~ (all_1038_1_4463 = 0) & environment(all_33_4_38) = all_1038_1_4463)
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (291) all_763_0_313 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (291) can reduce 296 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.21 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (2435), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (2440) (all_1038_1_4463 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1038_0_4462 = 0) & greater_or_equal(all_1038_1_4463, all_33_1_35) = all_1038_0_4462 & end_time(all_33_4_38) = all_1038_1_4463)
% 199.62/160.21 |
% 199.62/160.21 +-Applying beta-rule and splitting (2440), into two cases.
% 199.62/160.21 |-Branch one:
% 199.62/160.21 | (2441) all_1038_1_4463 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (2441) yields:
% 199.62/160.21 | (2442) all_1038_1_4463 = 0
% 199.62/160.21 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.21 | (291) all_763_0_313 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (291) can reduce 296 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (2446) ~ (all_1038_0_4462 = 0) & greater_or_equal(all_1038_1_4463, all_33_1_35) = all_1038_0_4462 & end_time(all_33_4_38) = all_1038_1_4463
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (2446) yields:
% 199.62/160.21 | (2447) ~ (all_1038_0_4462 = 0)
% 199.62/160.21 | (2448) greater_or_equal(all_1038_1_4463, all_33_1_35) = all_1038_0_4462
% 199.62/160.21 | (2449) end_time(all_33_4_38) = all_1038_1_4463
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (43) with all_33_4_38, all_1038_1_4463, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1038_1_4463, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.21 | (2450) all_1038_1_4463 = all_33_1_35
% 199.62/160.21 |
% 199.62/160.21 | From (2450) and (2448) follows:
% 199.62/160.21 | (2451) greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_4462
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (34) with all_1038_0_4462, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1038_0_4462, yields:
% 199.62/160.21 | (2452) all_1038_0_4462 = 0
% 199.62/160.21 |
% 199.62/160.21 | Equations (2452) can reduce 2447 to:
% 199.62/160.21 | (62) $false
% 199.62/160.21 |
% 199.62/160.21 |-The branch is then unsatisfiable
% 199.62/160.21 |-Branch two:
% 199.62/160.21 | (2454) ~ (all_1038_1_4463 = 0) & environment(all_33_4_38) = all_1038_1_4463
% 199.62/160.21 |
% 199.62/160.21 | Applying alpha-rule on (2454) yields:
% 199.62/160.21 | (2455) ~ (all_1038_1_4463 = 0)
% 199.62/160.21 | (2456) environment(all_33_4_38) = all_1038_1_4463
% 199.62/160.21 |
% 199.62/160.21 | Instantiating formula (35) with all_33_4_38, all_1038_1_4463, 0 and discharging atoms environment(all_33_4_38) = all_1038_1_4463, environment(all_33_4_38) = 0, yields:
% 199.62/160.22 | (2442) all_1038_1_4463 = 0
% 199.62/160.22 |
% 199.62/160.22 | Equations (2442) can reduce 2455 to:
% 199.62/160.22 | (62) $false
% 199.62/160.22 |
% 199.62/160.22 |-The branch is then unsatisfiable
% 199.62/160.22 |-Branch two:
% 199.62/160.22 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (371) yields:
% 199.62/160.22 | (340) all_569_0_283 = 0
% 199.62/160.22 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.62/160.22 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.22 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.22 |
% 199.62/160.22 | From (343) and (342) follows:
% 199.62/160.22 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.22 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.22 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.22 |
% 199.62/160.22 | Instantiating (345) with all_1037_0_4528, all_1037_1_4529 yields:
% 199.62/160.22 | (2467) (all_1037_1_4529 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_4528 = 0) & greater_or_equal(all_1037_1_4529, all_33_1_35) = all_1037_0_4528 & end_time(all_33_4_38) = all_1037_1_4529) | ( ~ (all_1037_1_4529 = 0) & environment(all_33_4_38) = all_1037_1_4529)
% 199.62/160.22 |
% 199.62/160.22 +-Applying beta-rule and splitting (2467), into two cases.
% 199.62/160.22 |-Branch one:
% 199.62/160.22 | (2468) (all_1037_1_4529 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_4528 = 0) & greater_or_equal(all_1037_1_4529, all_33_1_35) = all_1037_0_4528 & end_time(all_33_4_38) = all_1037_1_4529)
% 199.62/160.22 |
% 199.62/160.22 +-Applying beta-rule and splitting (2468), into two cases.
% 199.62/160.22 |-Branch one:
% 199.62/160.22 | (2469) all_1037_1_4529 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (2469) yields:
% 199.62/160.22 | (2470) all_1037_1_4529 = 0
% 199.62/160.22 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.22 |
% 199.62/160.22 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.22 |-Branch one:
% 199.62/160.22 | (291) all_763_0_313 = 0
% 199.62/160.22 |
% 199.62/160.22 | Equations (291) can reduce 296 to:
% 199.62/160.22 | (62) $false
% 199.62/160.22 |
% 199.62/160.22 |-The branch is then unsatisfiable
% 199.62/160.22 |-Branch two:
% 199.62/160.22 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.22 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.22 | (291) all_763_0_313 = 0
% 199.62/160.22 |
% 199.62/160.22 | Equations (291) can reduce 296 to:
% 199.62/160.22 | (62) $false
% 199.62/160.22 |
% 199.62/160.22 |-The branch is then unsatisfiable
% 199.62/160.22 |-Branch two:
% 199.62/160.22 | (2478) ~ (all_1037_0_4528 = 0) & greater_or_equal(all_1037_1_4529, all_33_1_35) = all_1037_0_4528 & end_time(all_33_4_38) = all_1037_1_4529
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (2478) yields:
% 199.62/160.22 | (2479) ~ (all_1037_0_4528 = 0)
% 199.62/160.22 | (2480) greater_or_equal(all_1037_1_4529, all_33_1_35) = all_1037_0_4528
% 199.62/160.22 | (2481) end_time(all_33_4_38) = all_1037_1_4529
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (43) with all_33_4_38, all_1037_1_4529, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_4529, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.22 | (2482) all_1037_1_4529 = all_33_1_35
% 199.62/160.22 |
% 199.62/160.22 | From (2482) and (2480) follows:
% 199.62/160.22 | (2483) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_4528
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (34) with all_1037_0_4528, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_4528, yields:
% 199.62/160.22 | (2484) all_1037_0_4528 = 0
% 199.62/160.22 |
% 199.62/160.22 | Equations (2484) can reduce 2479 to:
% 199.62/160.22 | (62) $false
% 199.62/160.22 |
% 199.62/160.22 |-The branch is then unsatisfiable
% 199.62/160.22 |-Branch two:
% 199.62/160.22 | (2486) ~ (all_1037_1_4529 = 0) & environment(all_33_4_38) = all_1037_1_4529
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (2486) yields:
% 199.62/160.22 | (2487) ~ (all_1037_1_4529 = 0)
% 199.62/160.22 | (2488) environment(all_33_4_38) = all_1037_1_4529
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (35) with all_33_4_38, all_1037_1_4529, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_4529, environment(all_33_4_38) = 0, yields:
% 199.62/160.22 | (2470) all_1037_1_4529 = 0
% 199.62/160.22 |
% 199.62/160.22 | Equations (2470) can reduce 2487 to:
% 199.62/160.22 | (62) $false
% 199.62/160.22 |
% 199.62/160.22 |-The branch is then unsatisfiable
% 199.62/160.22 |-Branch two:
% 199.62/160.22 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (403) yields:
% 199.62/160.22 | (404) ~ (all_569_1_284 = 0)
% 199.62/160.22 | (405) environment(all_33_4_38) = all_569_1_284
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.62/160.22 | (406) all_569_1_284 = 0
% 199.62/160.22 |
% 199.62/160.22 | Equations (406) can reduce 404 to:
% 199.62/160.22 | (62) $false
% 199.62/160.22 |
% 199.62/160.22 |-The branch is then unsatisfiable
% 199.62/160.22 |-Branch two:
% 199.62/160.22 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (408) yields:
% 199.62/160.22 | (333) all_568_0_281 = 0
% 199.62/160.22 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 199.62/160.22 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.22 | (336) all_568_1_282 = all_33_1_35
% 199.62/160.22 |
% 199.62/160.22 | From (336) and (335) follows:
% 199.62/160.22 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.22 |
% 199.62/160.22 +-Applying beta-rule and splitting (278), into two cases.
% 199.62/160.22 |-Branch one:
% 199.62/160.22 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.62/160.22 |
% 199.62/160.22 +-Applying beta-rule and splitting (338), into two cases.
% 199.62/160.22 |-Branch one:
% 199.62/160.22 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (339) yields:
% 199.62/160.22 | (340) all_569_0_283 = 0
% 199.62/160.22 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.62/160.22 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.22 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.22 |
% 199.62/160.22 | From (343) and (342) follows:
% 199.62/160.22 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.22 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.22 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.22 |
% 199.62/160.22 | Instantiating (345) with all_1037_0_4602, all_1037_1_4603 yields:
% 199.62/160.22 | (2511) (all_1037_1_4603 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_4602 = 0) & greater_or_equal(all_1037_1_4603, all_33_1_35) = all_1037_0_4602 & end_time(all_33_4_38) = all_1037_1_4603) | ( ~ (all_1037_1_4603 = 0) & environment(all_33_4_38) = all_1037_1_4603)
% 199.62/160.22 |
% 199.62/160.22 +-Applying beta-rule and splitting (2511), into two cases.
% 199.62/160.22 |-Branch one:
% 199.62/160.22 | (2512) (all_1037_1_4603 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_4602 = 0) & greater_or_equal(all_1037_1_4603, all_33_1_35) = all_1037_0_4602 & end_time(all_33_4_38) = all_1037_1_4603)
% 199.62/160.22 |
% 199.62/160.22 +-Applying beta-rule and splitting (2512), into two cases.
% 199.62/160.22 |-Branch one:
% 199.62/160.22 | (2513) all_1037_1_4603 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (2513) yields:
% 199.62/160.22 | (2514) all_1037_1_4603 = 0
% 199.62/160.22 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.22 |
% 199.62/160.22 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.22 |-Branch one:
% 199.62/160.22 | (291) all_763_0_313 = 0
% 199.62/160.22 |
% 199.62/160.22 | Equations (291) can reduce 296 to:
% 199.62/160.22 | (62) $false
% 199.62/160.22 |
% 199.62/160.22 |-The branch is then unsatisfiable
% 199.62/160.22 |-Branch two:
% 199.62/160.22 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.22 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.22 | (291) all_763_0_313 = 0
% 199.62/160.22 |
% 199.62/160.22 | Equations (291) can reduce 296 to:
% 199.62/160.22 | (62) $false
% 199.62/160.22 |
% 199.62/160.22 |-The branch is then unsatisfiable
% 199.62/160.22 |-Branch two:
% 199.62/160.22 | (2522) ~ (all_1037_0_4602 = 0) & greater_or_equal(all_1037_1_4603, all_33_1_35) = all_1037_0_4602 & end_time(all_33_4_38) = all_1037_1_4603
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (2522) yields:
% 199.62/160.22 | (2523) ~ (all_1037_0_4602 = 0)
% 199.62/160.22 | (2524) greater_or_equal(all_1037_1_4603, all_33_1_35) = all_1037_0_4602
% 199.62/160.22 | (2525) end_time(all_33_4_38) = all_1037_1_4603
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (43) with all_33_4_38, all_1037_1_4603, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_4603, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.22 | (2526) all_1037_1_4603 = all_33_1_35
% 199.62/160.22 |
% 199.62/160.22 | From (2526) and (2524) follows:
% 199.62/160.22 | (2527) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_4602
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (34) with all_1037_0_4602, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_4602, yields:
% 199.62/160.22 | (2528) all_1037_0_4602 = 0
% 199.62/160.22 |
% 199.62/160.22 | Equations (2528) can reduce 2523 to:
% 199.62/160.22 | (62) $false
% 199.62/160.22 |
% 199.62/160.22 |-The branch is then unsatisfiable
% 199.62/160.22 |-Branch two:
% 199.62/160.22 | (2530) ~ (all_1037_1_4603 = 0) & environment(all_33_4_38) = all_1037_1_4603
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (2530) yields:
% 199.62/160.22 | (2531) ~ (all_1037_1_4603 = 0)
% 199.62/160.22 | (2532) environment(all_33_4_38) = all_1037_1_4603
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (35) with all_33_4_38, all_1037_1_4603, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_4603, environment(all_33_4_38) = 0, yields:
% 199.62/160.22 | (2514) all_1037_1_4603 = 0
% 199.62/160.22 |
% 199.62/160.22 | Equations (2514) can reduce 2531 to:
% 199.62/160.22 | (62) $false
% 199.62/160.22 |
% 199.62/160.22 |-The branch is then unsatisfiable
% 199.62/160.22 |-Branch two:
% 199.62/160.22 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.22 |
% 199.62/160.22 | Applying alpha-rule on (371) yields:
% 199.62/160.22 | (340) all_569_0_283 = 0
% 199.62/160.22 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.62/160.22 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.22 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.22 |
% 199.62/160.22 | From (343) and (342) follows:
% 199.62/160.22 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.22 |
% 199.62/160.22 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.22 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.23 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.23 |
% 199.62/160.23 | Instantiating (345) with all_1033_0_4668, all_1033_1_4669 yields:
% 199.62/160.23 | (2543) (all_1033_1_4669 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4668 = 0) & greater_or_equal(all_1033_1_4669, all_33_1_35) = all_1033_0_4668 & end_time(all_33_4_38) = all_1033_1_4669) | ( ~ (all_1033_1_4669 = 0) & environment(all_33_4_38) = all_1033_1_4669)
% 199.62/160.23 |
% 199.62/160.23 +-Applying beta-rule and splitting (2543), into two cases.
% 199.62/160.23 |-Branch one:
% 199.62/160.23 | (2544) (all_1033_1_4669 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4668 = 0) & greater_or_equal(all_1033_1_4669, all_33_1_35) = all_1033_0_4668 & end_time(all_33_4_38) = all_1033_1_4669)
% 199.62/160.23 |
% 199.62/160.23 +-Applying beta-rule and splitting (2544), into two cases.
% 199.62/160.23 |-Branch one:
% 199.62/160.23 | (2545) all_1033_1_4669 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (2545) yields:
% 199.62/160.23 | (2546) all_1033_1_4669 = 0
% 199.62/160.23 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.23 |
% 199.62/160.23 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.23 |-Branch one:
% 199.62/160.23 | (291) all_763_0_313 = 0
% 199.62/160.23 |
% 199.62/160.23 | Equations (291) can reduce 296 to:
% 199.62/160.23 | (62) $false
% 199.62/160.23 |
% 199.62/160.23 |-The branch is then unsatisfiable
% 199.62/160.23 |-Branch two:
% 199.62/160.23 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.23 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.23 | (291) all_763_0_313 = 0
% 199.62/160.23 |
% 199.62/160.23 | Equations (291) can reduce 296 to:
% 199.62/160.23 | (62) $false
% 199.62/160.23 |
% 199.62/160.23 |-The branch is then unsatisfiable
% 199.62/160.23 |-Branch two:
% 199.62/160.23 | (2554) ~ (all_1033_0_4668 = 0) & greater_or_equal(all_1033_1_4669, all_33_1_35) = all_1033_0_4668 & end_time(all_33_4_38) = all_1033_1_4669
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (2554) yields:
% 199.62/160.23 | (2555) ~ (all_1033_0_4668 = 0)
% 199.62/160.23 | (2556) greater_or_equal(all_1033_1_4669, all_33_1_35) = all_1033_0_4668
% 199.62/160.23 | (2557) end_time(all_33_4_38) = all_1033_1_4669
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (43) with all_33_4_38, all_1033_1_4669, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_4669, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.23 | (2558) all_1033_1_4669 = all_33_1_35
% 199.62/160.23 |
% 199.62/160.23 | From (2558) and (2556) follows:
% 199.62/160.23 | (2559) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4668
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (34) with all_1033_0_4668, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4668, yields:
% 199.62/160.23 | (2560) all_1033_0_4668 = 0
% 199.62/160.23 |
% 199.62/160.23 | Equations (2560) can reduce 2555 to:
% 199.62/160.23 | (62) $false
% 199.62/160.23 |
% 199.62/160.23 |-The branch is then unsatisfiable
% 199.62/160.23 |-Branch two:
% 199.62/160.23 | (2562) ~ (all_1033_1_4669 = 0) & environment(all_33_4_38) = all_1033_1_4669
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (2562) yields:
% 199.62/160.23 | (2563) ~ (all_1033_1_4669 = 0)
% 199.62/160.23 | (2564) environment(all_33_4_38) = all_1033_1_4669
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (35) with all_33_4_38, all_1033_1_4669, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_4669, environment(all_33_4_38) = 0, yields:
% 199.62/160.23 | (2546) all_1033_1_4669 = 0
% 199.62/160.23 |
% 199.62/160.23 | Equations (2546) can reduce 2563 to:
% 199.62/160.23 | (62) $false
% 199.62/160.23 |
% 199.62/160.23 |-The branch is then unsatisfiable
% 199.62/160.23 |-Branch two:
% 199.62/160.23 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (403) yields:
% 199.62/160.23 | (404) ~ (all_569_1_284 = 0)
% 199.62/160.23 | (405) environment(all_33_4_38) = all_569_1_284
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.62/160.23 | (406) all_569_1_284 = 0
% 199.62/160.23 |
% 199.62/160.23 | Equations (406) can reduce 404 to:
% 199.62/160.23 | (62) $false
% 199.62/160.23 |
% 199.62/160.23 |-The branch is then unsatisfiable
% 199.62/160.23 |-Branch two:
% 199.62/160.23 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (484) yields:
% 199.62/160.23 | (485) ~ (all_568_1_282 = 0)
% 199.62/160.23 | (486) environment(all_33_4_38) = all_568_1_282
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 199.62/160.23 | (487) all_568_1_282 = 0
% 199.62/160.23 |
% 199.62/160.23 | Equations (487) can reduce 485 to:
% 199.62/160.23 | (62) $false
% 199.62/160.23 |
% 199.62/160.23 |-The branch is then unsatisfiable
% 199.62/160.23 |-Branch two:
% 199.62/160.23 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (489) yields:
% 199.62/160.23 | (326) all_564_0_272 = 0
% 199.62/160.23 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 199.62/160.23 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.23 | (329) all_564_1_273 = all_33_1_35
% 199.62/160.23 |
% 199.62/160.23 | From (329) and (328) follows:
% 199.62/160.23 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.23 |
% 199.62/160.23 +-Applying beta-rule and splitting (277), into two cases.
% 199.62/160.23 |-Branch one:
% 199.62/160.23 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 199.62/160.23 |
% 199.62/160.23 +-Applying beta-rule and splitting (331), into two cases.
% 199.62/160.23 |-Branch one:
% 199.62/160.23 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (332) yields:
% 199.62/160.23 | (333) all_568_0_281 = 0
% 199.62/160.23 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 199.62/160.23 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.23 | (336) all_568_1_282 = all_33_1_35
% 199.62/160.23 |
% 199.62/160.23 | From (336) and (335) follows:
% 199.62/160.23 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.23 |
% 199.62/160.23 +-Applying beta-rule and splitting (278), into two cases.
% 199.62/160.23 |-Branch one:
% 199.62/160.23 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.62/160.23 |
% 199.62/160.23 +-Applying beta-rule and splitting (338), into two cases.
% 199.62/160.23 |-Branch one:
% 199.62/160.23 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (339) yields:
% 199.62/160.23 | (340) all_569_0_283 = 0
% 199.62/160.23 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.62/160.23 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.23 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.23 |
% 199.62/160.23 | From (343) and (342) follows:
% 199.62/160.23 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.23 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.23 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.23 |
% 199.62/160.23 | Instantiating (345) with all_1037_0_4748, all_1037_1_4749 yields:
% 199.62/160.23 | (2599) (all_1037_1_4749 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_4748 = 0) & greater_or_equal(all_1037_1_4749, all_33_1_35) = all_1037_0_4748 & end_time(all_33_4_38) = all_1037_1_4749) | ( ~ (all_1037_1_4749 = 0) & environment(all_33_4_38) = all_1037_1_4749)
% 199.62/160.23 |
% 199.62/160.23 +-Applying beta-rule and splitting (2599), into two cases.
% 199.62/160.23 |-Branch one:
% 199.62/160.23 | (2600) (all_1037_1_4749 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_4748 = 0) & greater_or_equal(all_1037_1_4749, all_33_1_35) = all_1037_0_4748 & end_time(all_33_4_38) = all_1037_1_4749)
% 199.62/160.23 |
% 199.62/160.23 +-Applying beta-rule and splitting (2600), into two cases.
% 199.62/160.23 |-Branch one:
% 199.62/160.23 | (2601) all_1037_1_4749 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (2601) yields:
% 199.62/160.23 | (2602) all_1037_1_4749 = 0
% 199.62/160.23 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.23 |
% 199.62/160.23 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.23 |-Branch one:
% 199.62/160.23 | (291) all_763_0_313 = 0
% 199.62/160.23 |
% 199.62/160.23 | Equations (291) can reduce 296 to:
% 199.62/160.23 | (62) $false
% 199.62/160.23 |
% 199.62/160.23 |-The branch is then unsatisfiable
% 199.62/160.23 |-Branch two:
% 199.62/160.23 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.23 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.23 | (291) all_763_0_313 = 0
% 199.62/160.23 |
% 199.62/160.23 | Equations (291) can reduce 296 to:
% 199.62/160.23 | (62) $false
% 199.62/160.23 |
% 199.62/160.23 |-The branch is then unsatisfiable
% 199.62/160.23 |-Branch two:
% 199.62/160.23 | (2610) ~ (all_1037_0_4748 = 0) & greater_or_equal(all_1037_1_4749, all_33_1_35) = all_1037_0_4748 & end_time(all_33_4_38) = all_1037_1_4749
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (2610) yields:
% 199.62/160.23 | (2611) ~ (all_1037_0_4748 = 0)
% 199.62/160.23 | (2612) greater_or_equal(all_1037_1_4749, all_33_1_35) = all_1037_0_4748
% 199.62/160.23 | (2613) end_time(all_33_4_38) = all_1037_1_4749
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (43) with all_33_4_38, all_1037_1_4749, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_4749, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.23 | (2614) all_1037_1_4749 = all_33_1_35
% 199.62/160.23 |
% 199.62/160.23 | From (2614) and (2612) follows:
% 199.62/160.23 | (2615) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_4748
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (34) with all_1037_0_4748, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_4748, yields:
% 199.62/160.23 | (2616) all_1037_0_4748 = 0
% 199.62/160.23 |
% 199.62/160.23 | Equations (2616) can reduce 2611 to:
% 199.62/160.23 | (62) $false
% 199.62/160.23 |
% 199.62/160.23 |-The branch is then unsatisfiable
% 199.62/160.23 |-Branch two:
% 199.62/160.23 | (2618) ~ (all_1037_1_4749 = 0) & environment(all_33_4_38) = all_1037_1_4749
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (2618) yields:
% 199.62/160.23 | (2619) ~ (all_1037_1_4749 = 0)
% 199.62/160.23 | (2620) environment(all_33_4_38) = all_1037_1_4749
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (35) with all_33_4_38, all_1037_1_4749, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_4749, environment(all_33_4_38) = 0, yields:
% 199.62/160.23 | (2602) all_1037_1_4749 = 0
% 199.62/160.23 |
% 199.62/160.23 | Equations (2602) can reduce 2619 to:
% 199.62/160.23 | (62) $false
% 199.62/160.23 |
% 199.62/160.23 |-The branch is then unsatisfiable
% 199.62/160.23 |-Branch two:
% 199.62/160.23 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.23 |
% 199.62/160.23 | Applying alpha-rule on (371) yields:
% 199.62/160.23 | (340) all_569_0_283 = 0
% 199.62/160.23 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.62/160.23 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.23 |
% 199.62/160.23 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.24 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.24 |
% 199.62/160.24 | From (343) and (342) follows:
% 199.62/160.24 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.24 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.24 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.24 |
% 199.62/160.24 | Instantiating (345) with all_1033_0_4814, all_1033_1_4815 yields:
% 199.62/160.24 | (2631) (all_1033_1_4815 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4814 = 0) & greater_or_equal(all_1033_1_4815, all_33_1_35) = all_1033_0_4814 & end_time(all_33_4_38) = all_1033_1_4815) | ( ~ (all_1033_1_4815 = 0) & environment(all_33_4_38) = all_1033_1_4815)
% 199.62/160.24 |
% 199.62/160.24 +-Applying beta-rule and splitting (2631), into two cases.
% 199.62/160.24 |-Branch one:
% 199.62/160.24 | (2632) (all_1033_1_4815 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4814 = 0) & greater_or_equal(all_1033_1_4815, all_33_1_35) = all_1033_0_4814 & end_time(all_33_4_38) = all_1033_1_4815)
% 199.62/160.24 |
% 199.62/160.24 +-Applying beta-rule and splitting (2632), into two cases.
% 199.62/160.24 |-Branch one:
% 199.62/160.24 | (2633) all_1033_1_4815 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.24 |
% 199.62/160.24 | Applying alpha-rule on (2633) yields:
% 199.62/160.24 | (2634) all_1033_1_4815 = 0
% 199.62/160.24 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.24 |
% 199.62/160.24 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.24 |-Branch one:
% 199.62/160.24 | (291) all_763_0_313 = 0
% 199.62/160.24 |
% 199.62/160.24 | Equations (291) can reduce 296 to:
% 199.62/160.24 | (62) $false
% 199.62/160.24 |
% 199.62/160.24 |-The branch is then unsatisfiable
% 199.62/160.24 |-Branch two:
% 199.62/160.24 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.24 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.24 | (291) all_763_0_313 = 0
% 199.62/160.24 |
% 199.62/160.24 | Equations (291) can reduce 296 to:
% 199.62/160.24 | (62) $false
% 199.62/160.24 |
% 199.62/160.24 |-The branch is then unsatisfiable
% 199.62/160.24 |-Branch two:
% 199.62/160.24 | (2642) ~ (all_1033_0_4814 = 0) & greater_or_equal(all_1033_1_4815, all_33_1_35) = all_1033_0_4814 & end_time(all_33_4_38) = all_1033_1_4815
% 199.62/160.24 |
% 199.62/160.24 | Applying alpha-rule on (2642) yields:
% 199.62/160.24 | (2643) ~ (all_1033_0_4814 = 0)
% 199.62/160.24 | (2644) greater_or_equal(all_1033_1_4815, all_33_1_35) = all_1033_0_4814
% 199.62/160.24 | (2645) end_time(all_33_4_38) = all_1033_1_4815
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (43) with all_33_4_38, all_1033_1_4815, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_4815, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.24 | (2646) all_1033_1_4815 = all_33_1_35
% 199.62/160.24 |
% 199.62/160.24 | From (2646) and (2644) follows:
% 199.62/160.24 | (2647) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4814
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (34) with all_1033_0_4814, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4814, yields:
% 199.62/160.24 | (2648) all_1033_0_4814 = 0
% 199.62/160.24 |
% 199.62/160.24 | Equations (2648) can reduce 2643 to:
% 199.62/160.24 | (62) $false
% 199.62/160.24 |
% 199.62/160.24 |-The branch is then unsatisfiable
% 199.62/160.24 |-Branch two:
% 199.62/160.24 | (2650) ~ (all_1033_1_4815 = 0) & environment(all_33_4_38) = all_1033_1_4815
% 199.62/160.24 |
% 199.62/160.24 | Applying alpha-rule on (2650) yields:
% 199.62/160.24 | (2651) ~ (all_1033_1_4815 = 0)
% 199.62/160.24 | (2652) environment(all_33_4_38) = all_1033_1_4815
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (35) with all_33_4_38, all_1033_1_4815, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_4815, environment(all_33_4_38) = 0, yields:
% 199.62/160.24 | (2634) all_1033_1_4815 = 0
% 199.62/160.24 |
% 199.62/160.24 | Equations (2634) can reduce 2651 to:
% 199.62/160.24 | (62) $false
% 199.62/160.24 |
% 199.62/160.24 |-The branch is then unsatisfiable
% 199.62/160.24 |-Branch two:
% 199.62/160.24 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.62/160.24 |
% 199.62/160.24 | Applying alpha-rule on (403) yields:
% 199.62/160.24 | (404) ~ (all_569_1_284 = 0)
% 199.62/160.24 | (405) environment(all_33_4_38) = all_569_1_284
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.62/160.24 | (406) all_569_1_284 = 0
% 199.62/160.24 |
% 199.62/160.24 | Equations (406) can reduce 404 to:
% 199.62/160.24 | (62) $false
% 199.62/160.24 |
% 199.62/160.24 |-The branch is then unsatisfiable
% 199.62/160.24 |-Branch two:
% 199.62/160.24 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.62/160.24 |
% 199.62/160.24 | Applying alpha-rule on (408) yields:
% 199.62/160.24 | (333) all_568_0_281 = 0
% 199.62/160.24 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 199.62/160.24 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.24 | (336) all_568_1_282 = all_33_1_35
% 199.62/160.24 |
% 199.62/160.24 | From (336) and (335) follows:
% 199.62/160.24 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.24 |
% 199.62/160.24 +-Applying beta-rule and splitting (278), into two cases.
% 199.62/160.24 |-Branch one:
% 199.62/160.24 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.62/160.24 |
% 199.62/160.24 +-Applying beta-rule and splitting (338), into two cases.
% 199.62/160.24 |-Branch one:
% 199.62/160.24 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.24 |
% 199.62/160.24 | Applying alpha-rule on (339) yields:
% 199.62/160.24 | (340) all_569_0_283 = 0
% 199.62/160.24 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.62/160.24 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.24 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.24 |
% 199.62/160.24 | From (343) and (342) follows:
% 199.62/160.24 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.24 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.24 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.24 |
% 199.62/160.24 | Instantiating (345) with all_1033_0_4886, all_1033_1_4887 yields:
% 199.62/160.24 | (2675) (all_1033_1_4887 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4886 = 0) & greater_or_equal(all_1033_1_4887, all_33_1_35) = all_1033_0_4886 & end_time(all_33_4_38) = all_1033_1_4887) | ( ~ (all_1033_1_4887 = 0) & environment(all_33_4_38) = all_1033_1_4887)
% 199.62/160.24 |
% 199.62/160.24 +-Applying beta-rule and splitting (2675), into two cases.
% 199.62/160.24 |-Branch one:
% 199.62/160.24 | (2676) (all_1033_1_4887 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_4886 = 0) & greater_or_equal(all_1033_1_4887, all_33_1_35) = all_1033_0_4886 & end_time(all_33_4_38) = all_1033_1_4887)
% 199.62/160.24 |
% 199.62/160.24 +-Applying beta-rule and splitting (2676), into two cases.
% 199.62/160.24 |-Branch one:
% 199.62/160.24 | (2677) all_1033_1_4887 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.24 |
% 199.62/160.24 | Applying alpha-rule on (2677) yields:
% 199.62/160.24 | (2678) all_1033_1_4887 = 0
% 199.62/160.24 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.24 |
% 199.62/160.24 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.24 |-Branch one:
% 199.62/160.24 | (291) all_763_0_313 = 0
% 199.62/160.24 |
% 199.62/160.24 | Equations (291) can reduce 296 to:
% 199.62/160.24 | (62) $false
% 199.62/160.24 |
% 199.62/160.24 |-The branch is then unsatisfiable
% 199.62/160.24 |-Branch two:
% 199.62/160.24 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.24 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.24 | (291) all_763_0_313 = 0
% 199.62/160.24 |
% 199.62/160.24 | Equations (291) can reduce 296 to:
% 199.62/160.24 | (62) $false
% 199.62/160.24 |
% 199.62/160.24 |-The branch is then unsatisfiable
% 199.62/160.24 |-Branch two:
% 199.62/160.24 | (2686) ~ (all_1033_0_4886 = 0) & greater_or_equal(all_1033_1_4887, all_33_1_35) = all_1033_0_4886 & end_time(all_33_4_38) = all_1033_1_4887
% 199.62/160.24 |
% 199.62/160.24 | Applying alpha-rule on (2686) yields:
% 199.62/160.24 | (2687) ~ (all_1033_0_4886 = 0)
% 199.62/160.24 | (2688) greater_or_equal(all_1033_1_4887, all_33_1_35) = all_1033_0_4886
% 199.62/160.24 | (2689) end_time(all_33_4_38) = all_1033_1_4887
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (43) with all_33_4_38, all_1033_1_4887, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_4887, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.24 | (2690) all_1033_1_4887 = all_33_1_35
% 199.62/160.24 |
% 199.62/160.24 | From (2690) and (2688) follows:
% 199.62/160.24 | (2691) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4886
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (34) with all_1033_0_4886, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_4886, yields:
% 199.62/160.24 | (2692) all_1033_0_4886 = 0
% 199.62/160.24 |
% 199.62/160.24 | Equations (2692) can reduce 2687 to:
% 199.62/160.24 | (62) $false
% 199.62/160.24 |
% 199.62/160.24 |-The branch is then unsatisfiable
% 199.62/160.24 |-Branch two:
% 199.62/160.24 | (2694) ~ (all_1033_1_4887 = 0) & environment(all_33_4_38) = all_1033_1_4887
% 199.62/160.24 |
% 199.62/160.24 | Applying alpha-rule on (2694) yields:
% 199.62/160.24 | (2695) ~ (all_1033_1_4887 = 0)
% 199.62/160.24 | (2696) environment(all_33_4_38) = all_1033_1_4887
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (35) with all_33_4_38, all_1033_1_4887, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_4887, environment(all_33_4_38) = 0, yields:
% 199.62/160.24 | (2678) all_1033_1_4887 = 0
% 199.62/160.24 |
% 199.62/160.24 | Equations (2678) can reduce 2695 to:
% 199.62/160.24 | (62) $false
% 199.62/160.24 |
% 199.62/160.24 |-The branch is then unsatisfiable
% 199.62/160.24 |-Branch two:
% 199.62/160.24 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.24 |
% 199.62/160.24 | Applying alpha-rule on (371) yields:
% 199.62/160.24 | (340) all_569_0_283 = 0
% 199.62/160.24 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.62/160.24 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.24 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.24 |
% 199.62/160.24 | From (343) and (342) follows:
% 199.62/160.24 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.24 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.24 |
% 199.62/160.24 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.24 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.25 |
% 199.62/160.25 | Instantiating (345) with all_1031_0_4953, all_1031_1_4954 yields:
% 199.62/160.25 | (2707) (all_1031_1_4954 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_4953 = 0) & greater_or_equal(all_1031_1_4954, all_33_1_35) = all_1031_0_4953 & end_time(all_33_4_38) = all_1031_1_4954) | ( ~ (all_1031_1_4954 = 0) & environment(all_33_4_38) = all_1031_1_4954)
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (2707), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (2708) (all_1031_1_4954 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_4953 = 0) & greater_or_equal(all_1031_1_4954, all_33_1_35) = all_1031_0_4953 & end_time(all_33_4_38) = all_1031_1_4954)
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (2708), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (2709) all_1031_1_4954 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (2709) yields:
% 199.62/160.25 | (2710) all_1031_1_4954 = 0
% 199.62/160.25 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (291) all_763_0_313 = 0
% 199.62/160.25 |
% 199.62/160.25 | Equations (291) can reduce 296 to:
% 199.62/160.25 | (62) $false
% 199.62/160.25 |
% 199.62/160.25 |-The branch is then unsatisfiable
% 199.62/160.25 |-Branch two:
% 199.62/160.25 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.25 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.25 | (291) all_763_0_313 = 0
% 199.62/160.25 |
% 199.62/160.25 | Equations (291) can reduce 296 to:
% 199.62/160.25 | (62) $false
% 199.62/160.25 |
% 199.62/160.25 |-The branch is then unsatisfiable
% 199.62/160.25 |-Branch two:
% 199.62/160.25 | (2718) ~ (all_1031_0_4953 = 0) & greater_or_equal(all_1031_1_4954, all_33_1_35) = all_1031_0_4953 & end_time(all_33_4_38) = all_1031_1_4954
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (2718) yields:
% 199.62/160.25 | (2719) ~ (all_1031_0_4953 = 0)
% 199.62/160.25 | (2720) greater_or_equal(all_1031_1_4954, all_33_1_35) = all_1031_0_4953
% 199.62/160.25 | (2721) end_time(all_33_4_38) = all_1031_1_4954
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (43) with all_33_4_38, all_1031_1_4954, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1031_1_4954, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.25 | (2722) all_1031_1_4954 = all_33_1_35
% 199.62/160.25 |
% 199.62/160.25 | From (2722) and (2720) follows:
% 199.62/160.25 | (2723) greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_4953
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (34) with all_1031_0_4953, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_4953, yields:
% 199.62/160.25 | (2724) all_1031_0_4953 = 0
% 199.62/160.25 |
% 199.62/160.25 | Equations (2724) can reduce 2719 to:
% 199.62/160.25 | (62) $false
% 199.62/160.25 |
% 199.62/160.25 |-The branch is then unsatisfiable
% 199.62/160.25 |-Branch two:
% 199.62/160.25 | (2726) ~ (all_1031_1_4954 = 0) & environment(all_33_4_38) = all_1031_1_4954
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (2726) yields:
% 199.62/160.25 | (2727) ~ (all_1031_1_4954 = 0)
% 199.62/160.25 | (2728) environment(all_33_4_38) = all_1031_1_4954
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (35) with all_33_4_38, all_1031_1_4954, 0 and discharging atoms environment(all_33_4_38) = all_1031_1_4954, environment(all_33_4_38) = 0, yields:
% 199.62/160.25 | (2710) all_1031_1_4954 = 0
% 199.62/160.25 |
% 199.62/160.25 | Equations (2710) can reduce 2727 to:
% 199.62/160.25 | (62) $false
% 199.62/160.25 |
% 199.62/160.25 |-The branch is then unsatisfiable
% 199.62/160.25 |-Branch two:
% 199.62/160.25 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (403) yields:
% 199.62/160.25 | (404) ~ (all_569_1_284 = 0)
% 199.62/160.25 | (405) environment(all_33_4_38) = all_569_1_284
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.62/160.25 | (406) all_569_1_284 = 0
% 199.62/160.25 |
% 199.62/160.25 | Equations (406) can reduce 404 to:
% 199.62/160.25 | (62) $false
% 199.62/160.25 |
% 199.62/160.25 |-The branch is then unsatisfiable
% 199.62/160.25 |-Branch two:
% 199.62/160.25 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (484) yields:
% 199.62/160.25 | (485) ~ (all_568_1_282 = 0)
% 199.62/160.25 | (486) environment(all_33_4_38) = all_568_1_282
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 199.62/160.25 | (487) all_568_1_282 = 0
% 199.62/160.25 |
% 199.62/160.25 | Equations (487) can reduce 485 to:
% 199.62/160.25 | (62) $false
% 199.62/160.25 |
% 199.62/160.25 |-The branch is then unsatisfiable
% 199.62/160.25 |-Branch two:
% 199.62/160.25 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (653) yields:
% 199.62/160.25 | (654) ~ (all_564_1_273 = 0)
% 199.62/160.25 | (655) environment(all_33_4_38) = all_564_1_273
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 199.62/160.25 | (656) all_564_1_273 = 0
% 199.62/160.25 |
% 199.62/160.25 | Equations (656) can reduce 654 to:
% 199.62/160.25 | (62) $false
% 199.62/160.25 |
% 199.62/160.25 |-The branch is then unsatisfiable
% 199.62/160.25 |-Branch two:
% 199.62/160.25 | (658) all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (658) yields:
% 199.62/160.25 | (319) all_559_0_261 = 0
% 199.62/160.25 | (660) greater(all_60_2_75, all_559_1_262) = 0
% 199.62/160.25 | (321) end_time(all_33_4_38) = all_559_1_262
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.25 | (322) all_559_1_262 = all_33_1_35
% 199.62/160.25 |
% 199.62/160.25 | From (322) and (321) follows:
% 199.62/160.25 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (276), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (324), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (325) yields:
% 199.62/160.25 | (326) all_564_0_272 = 0
% 199.62/160.25 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 199.62/160.25 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.25 | (329) all_564_1_273 = all_33_1_35
% 199.62/160.25 |
% 199.62/160.25 | From (329) and (328) follows:
% 199.62/160.25 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (277), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (331), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (332) yields:
% 199.62/160.25 | (333) all_568_0_281 = 0
% 199.62/160.25 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 199.62/160.25 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.25 | (336) all_568_1_282 = all_33_1_35
% 199.62/160.25 |
% 199.62/160.25 | From (336) and (335) follows:
% 199.62/160.25 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (278), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (338), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (339) yields:
% 199.62/160.25 | (340) all_569_0_283 = 0
% 199.62/160.25 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.62/160.25 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.25 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.25 |
% 199.62/160.25 | From (343) and (342) follows:
% 199.62/160.25 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.25 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.25 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.25 |
% 199.62/160.25 | Instantiating (345) with all_1037_0_5040, all_1037_1_5041 yields:
% 199.62/160.25 | (2775) (all_1037_1_5041 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_5040 = 0) & greater_or_equal(all_1037_1_5041, all_33_1_35) = all_1037_0_5040 & end_time(all_33_4_38) = all_1037_1_5041) | ( ~ (all_1037_1_5041 = 0) & environment(all_33_4_38) = all_1037_1_5041)
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (2775), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (2776) (all_1037_1_5041 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1037_0_5040 = 0) & greater_or_equal(all_1037_1_5041, all_33_1_35) = all_1037_0_5040 & end_time(all_33_4_38) = all_1037_1_5041)
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (2776), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (2777) all_1037_1_5041 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (2777) yields:
% 199.62/160.25 | (2778) all_1037_1_5041 = 0
% 199.62/160.25 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.25 |
% 199.62/160.25 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.25 |-Branch one:
% 199.62/160.25 | (291) all_763_0_313 = 0
% 199.62/160.25 |
% 199.62/160.25 | Equations (291) can reduce 296 to:
% 199.62/160.25 | (62) $false
% 199.62/160.25 |
% 199.62/160.25 |-The branch is then unsatisfiable
% 199.62/160.25 |-Branch two:
% 199.62/160.25 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.25 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.25 | (291) all_763_0_313 = 0
% 199.62/160.25 |
% 199.62/160.25 | Equations (291) can reduce 296 to:
% 199.62/160.25 | (62) $false
% 199.62/160.25 |
% 199.62/160.25 |-The branch is then unsatisfiable
% 199.62/160.25 |-Branch two:
% 199.62/160.25 | (2786) ~ (all_1037_0_5040 = 0) & greater_or_equal(all_1037_1_5041, all_33_1_35) = all_1037_0_5040 & end_time(all_33_4_38) = all_1037_1_5041
% 199.62/160.25 |
% 199.62/160.25 | Applying alpha-rule on (2786) yields:
% 199.62/160.25 | (2787) ~ (all_1037_0_5040 = 0)
% 199.62/160.25 | (2788) greater_or_equal(all_1037_1_5041, all_33_1_35) = all_1037_0_5040
% 199.62/160.25 | (2789) end_time(all_33_4_38) = all_1037_1_5041
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (43) with all_33_4_38, all_1037_1_5041, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1037_1_5041, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.25 | (2790) all_1037_1_5041 = all_33_1_35
% 199.62/160.25 |
% 199.62/160.25 | From (2790) and (2788) follows:
% 199.62/160.25 | (2791) greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_5040
% 199.62/160.25 |
% 199.62/160.25 | Instantiating formula (34) with all_1037_0_5040, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1037_0_5040, yields:
% 199.62/160.25 | (2792) all_1037_0_5040 = 0
% 199.62/160.25 |
% 199.62/160.25 | Equations (2792) can reduce 2787 to:
% 199.62/160.25 | (62) $false
% 199.62/160.25 |
% 199.62/160.26 |-The branch is then unsatisfiable
% 199.62/160.26 |-Branch two:
% 199.62/160.26 | (2794) ~ (all_1037_1_5041 = 0) & environment(all_33_4_38) = all_1037_1_5041
% 199.62/160.26 |
% 199.62/160.26 | Applying alpha-rule on (2794) yields:
% 199.62/160.26 | (2795) ~ (all_1037_1_5041 = 0)
% 199.62/160.26 | (2796) environment(all_33_4_38) = all_1037_1_5041
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (35) with all_33_4_38, all_1037_1_5041, 0 and discharging atoms environment(all_33_4_38) = all_1037_1_5041, environment(all_33_4_38) = 0, yields:
% 199.62/160.26 | (2778) all_1037_1_5041 = 0
% 199.62/160.26 |
% 199.62/160.26 | Equations (2778) can reduce 2795 to:
% 199.62/160.26 | (62) $false
% 199.62/160.26 |
% 199.62/160.26 |-The branch is then unsatisfiable
% 199.62/160.26 |-Branch two:
% 199.62/160.26 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.26 |
% 199.62/160.26 | Applying alpha-rule on (371) yields:
% 199.62/160.26 | (340) all_569_0_283 = 0
% 199.62/160.26 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.62/160.26 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.26 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.26 |
% 199.62/160.26 | From (343) and (342) follows:
% 199.62/160.26 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.26 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.26 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.26 |
% 199.62/160.26 | Instantiating (345) with all_1033_0_5106, all_1033_1_5107 yields:
% 199.62/160.26 | (2807) (all_1033_1_5107 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_5106 = 0) & greater_or_equal(all_1033_1_5107, all_33_1_35) = all_1033_0_5106 & end_time(all_33_4_38) = all_1033_1_5107) | ( ~ (all_1033_1_5107 = 0) & environment(all_33_4_38) = all_1033_1_5107)
% 199.62/160.26 |
% 199.62/160.26 +-Applying beta-rule and splitting (2807), into two cases.
% 199.62/160.26 |-Branch one:
% 199.62/160.26 | (2808) (all_1033_1_5107 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_5106 = 0) & greater_or_equal(all_1033_1_5107, all_33_1_35) = all_1033_0_5106 & end_time(all_33_4_38) = all_1033_1_5107)
% 199.62/160.26 |
% 199.62/160.26 +-Applying beta-rule and splitting (2808), into two cases.
% 199.62/160.26 |-Branch one:
% 199.62/160.26 | (2809) all_1033_1_5107 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.26 |
% 199.62/160.26 | Applying alpha-rule on (2809) yields:
% 199.62/160.26 | (2810) all_1033_1_5107 = 0
% 199.62/160.26 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.26 |
% 199.62/160.26 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.26 |-Branch one:
% 199.62/160.26 | (291) all_763_0_313 = 0
% 199.62/160.26 |
% 199.62/160.26 | Equations (291) can reduce 296 to:
% 199.62/160.26 | (62) $false
% 199.62/160.26 |
% 199.62/160.26 |-The branch is then unsatisfiable
% 199.62/160.26 |-Branch two:
% 199.62/160.26 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.26 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.26 | (291) all_763_0_313 = 0
% 199.62/160.26 |
% 199.62/160.26 | Equations (291) can reduce 296 to:
% 199.62/160.26 | (62) $false
% 199.62/160.26 |
% 199.62/160.26 |-The branch is then unsatisfiable
% 199.62/160.26 |-Branch two:
% 199.62/160.26 | (2818) ~ (all_1033_0_5106 = 0) & greater_or_equal(all_1033_1_5107, all_33_1_35) = all_1033_0_5106 & end_time(all_33_4_38) = all_1033_1_5107
% 199.62/160.26 |
% 199.62/160.26 | Applying alpha-rule on (2818) yields:
% 199.62/160.26 | (2819) ~ (all_1033_0_5106 = 0)
% 199.62/160.26 | (2820) greater_or_equal(all_1033_1_5107, all_33_1_35) = all_1033_0_5106
% 199.62/160.26 | (2821) end_time(all_33_4_38) = all_1033_1_5107
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (43) with all_33_4_38, all_1033_1_5107, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_5107, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.26 | (2822) all_1033_1_5107 = all_33_1_35
% 199.62/160.26 |
% 199.62/160.26 | From (2822) and (2820) follows:
% 199.62/160.26 | (2823) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_5106
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (34) with all_1033_0_5106, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_5106, yields:
% 199.62/160.26 | (2824) all_1033_0_5106 = 0
% 199.62/160.26 |
% 199.62/160.26 | Equations (2824) can reduce 2819 to:
% 199.62/160.26 | (62) $false
% 199.62/160.26 |
% 199.62/160.26 |-The branch is then unsatisfiable
% 199.62/160.26 |-Branch two:
% 199.62/160.26 | (2826) ~ (all_1033_1_5107 = 0) & environment(all_33_4_38) = all_1033_1_5107
% 199.62/160.26 |
% 199.62/160.26 | Applying alpha-rule on (2826) yields:
% 199.62/160.26 | (2827) ~ (all_1033_1_5107 = 0)
% 199.62/160.26 | (2828) environment(all_33_4_38) = all_1033_1_5107
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (35) with all_33_4_38, all_1033_1_5107, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_5107, environment(all_33_4_38) = 0, yields:
% 199.62/160.26 | (2810) all_1033_1_5107 = 0
% 199.62/160.26 |
% 199.62/160.26 | Equations (2810) can reduce 2827 to:
% 199.62/160.26 | (62) $false
% 199.62/160.26 |
% 199.62/160.26 |-The branch is then unsatisfiable
% 199.62/160.26 |-Branch two:
% 199.62/160.26 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.62/160.26 |
% 199.62/160.26 | Applying alpha-rule on (403) yields:
% 199.62/160.26 | (404) ~ (all_569_1_284 = 0)
% 199.62/160.26 | (405) environment(all_33_4_38) = all_569_1_284
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.62/160.26 | (406) all_569_1_284 = 0
% 199.62/160.26 |
% 199.62/160.26 | Equations (406) can reduce 404 to:
% 199.62/160.26 | (62) $false
% 199.62/160.26 |
% 199.62/160.26 |-The branch is then unsatisfiable
% 199.62/160.26 |-Branch two:
% 199.62/160.26 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.62/160.26 |
% 199.62/160.26 | Applying alpha-rule on (408) yields:
% 199.62/160.26 | (333) all_568_0_281 = 0
% 199.62/160.26 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 199.62/160.26 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.26 | (336) all_568_1_282 = all_33_1_35
% 199.62/160.26 |
% 199.62/160.26 | From (336) and (335) follows:
% 199.62/160.26 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.26 |
% 199.62/160.26 +-Applying beta-rule and splitting (278), into two cases.
% 199.62/160.26 |-Branch one:
% 199.62/160.26 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.62/160.26 |
% 199.62/160.26 +-Applying beta-rule and splitting (338), into two cases.
% 199.62/160.26 |-Branch one:
% 199.62/160.26 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.26 |
% 199.62/160.26 | Applying alpha-rule on (339) yields:
% 199.62/160.26 | (340) all_569_0_283 = 0
% 199.62/160.26 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.62/160.26 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.26 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.26 |
% 199.62/160.26 | From (343) and (342) follows:
% 199.62/160.26 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.26 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.26 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.26 |
% 199.62/160.26 | Instantiating (345) with all_1033_0_5178, all_1033_1_5179 yields:
% 199.62/160.26 | (2851) (all_1033_1_5179 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_5178 = 0) & greater_or_equal(all_1033_1_5179, all_33_1_35) = all_1033_0_5178 & end_time(all_33_4_38) = all_1033_1_5179) | ( ~ (all_1033_1_5179 = 0) & environment(all_33_4_38) = all_1033_1_5179)
% 199.62/160.26 |
% 199.62/160.26 +-Applying beta-rule and splitting (2851), into two cases.
% 199.62/160.26 |-Branch one:
% 199.62/160.26 | (2852) (all_1033_1_5179 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_5178 = 0) & greater_or_equal(all_1033_1_5179, all_33_1_35) = all_1033_0_5178 & end_time(all_33_4_38) = all_1033_1_5179)
% 199.62/160.26 |
% 199.62/160.26 +-Applying beta-rule and splitting (2852), into two cases.
% 199.62/160.26 |-Branch one:
% 199.62/160.26 | (2853) all_1033_1_5179 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.26 |
% 199.62/160.26 | Applying alpha-rule on (2853) yields:
% 199.62/160.26 | (2854) all_1033_1_5179 = 0
% 199.62/160.26 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.26 |
% 199.62/160.26 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.26 |-Branch one:
% 199.62/160.26 | (291) all_763_0_313 = 0
% 199.62/160.26 |
% 199.62/160.26 | Equations (291) can reduce 296 to:
% 199.62/160.26 | (62) $false
% 199.62/160.26 |
% 199.62/160.26 |-The branch is then unsatisfiable
% 199.62/160.26 |-Branch two:
% 199.62/160.26 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.26 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.26 | (291) all_763_0_313 = 0
% 199.62/160.26 |
% 199.62/160.26 | Equations (291) can reduce 296 to:
% 199.62/160.26 | (62) $false
% 199.62/160.26 |
% 199.62/160.26 |-The branch is then unsatisfiable
% 199.62/160.26 |-Branch two:
% 199.62/160.26 | (2862) ~ (all_1033_0_5178 = 0) & greater_or_equal(all_1033_1_5179, all_33_1_35) = all_1033_0_5178 & end_time(all_33_4_38) = all_1033_1_5179
% 199.62/160.26 |
% 199.62/160.26 | Applying alpha-rule on (2862) yields:
% 199.62/160.26 | (2863) ~ (all_1033_0_5178 = 0)
% 199.62/160.26 | (2864) greater_or_equal(all_1033_1_5179, all_33_1_35) = all_1033_0_5178
% 199.62/160.26 | (2865) end_time(all_33_4_38) = all_1033_1_5179
% 199.62/160.26 |
% 199.62/160.26 | Instantiating formula (43) with all_33_4_38, all_1033_1_5179, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_5179, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.27 | (2866) all_1033_1_5179 = all_33_1_35
% 199.62/160.27 |
% 199.62/160.27 | From (2866) and (2864) follows:
% 199.62/160.27 | (2867) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_5178
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (34) with all_1033_0_5178, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_5178, yields:
% 199.62/160.27 | (2868) all_1033_0_5178 = 0
% 199.62/160.27 |
% 199.62/160.27 | Equations (2868) can reduce 2863 to:
% 199.62/160.27 | (62) $false
% 199.62/160.27 |
% 199.62/160.27 |-The branch is then unsatisfiable
% 199.62/160.27 |-Branch two:
% 199.62/160.27 | (2870) ~ (all_1033_1_5179 = 0) & environment(all_33_4_38) = all_1033_1_5179
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (2870) yields:
% 199.62/160.27 | (2871) ~ (all_1033_1_5179 = 0)
% 199.62/160.27 | (2872) environment(all_33_4_38) = all_1033_1_5179
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (35) with all_33_4_38, all_1033_1_5179, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_5179, environment(all_33_4_38) = 0, yields:
% 199.62/160.27 | (2854) all_1033_1_5179 = 0
% 199.62/160.27 |
% 199.62/160.27 | Equations (2854) can reduce 2871 to:
% 199.62/160.27 | (62) $false
% 199.62/160.27 |
% 199.62/160.27 |-The branch is then unsatisfiable
% 199.62/160.27 |-Branch two:
% 199.62/160.27 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (371) yields:
% 199.62/160.27 | (340) all_569_0_283 = 0
% 199.62/160.27 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.62/160.27 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.27 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.27 |
% 199.62/160.27 | From (343) and (342) follows:
% 199.62/160.27 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.27 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.27 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.27 |
% 199.62/160.27 | Instantiating (345) with all_1031_0_5245, all_1031_1_5246 yields:
% 199.62/160.27 | (2883) (all_1031_1_5246 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_5245 = 0) & greater_or_equal(all_1031_1_5246, all_33_1_35) = all_1031_0_5245 & end_time(all_33_4_38) = all_1031_1_5246) | ( ~ (all_1031_1_5246 = 0) & environment(all_33_4_38) = all_1031_1_5246)
% 199.62/160.27 |
% 199.62/160.27 +-Applying beta-rule and splitting (2883), into two cases.
% 199.62/160.27 |-Branch one:
% 199.62/160.27 | (2884) (all_1031_1_5246 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_5245 = 0) & greater_or_equal(all_1031_1_5246, all_33_1_35) = all_1031_0_5245 & end_time(all_33_4_38) = all_1031_1_5246)
% 199.62/160.27 |
% 199.62/160.27 +-Applying beta-rule and splitting (2884), into two cases.
% 199.62/160.27 |-Branch one:
% 199.62/160.27 | (2885) all_1031_1_5246 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (2885) yields:
% 199.62/160.27 | (2886) all_1031_1_5246 = 0
% 199.62/160.27 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.27 |
% 199.62/160.27 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.27 |-Branch one:
% 199.62/160.27 | (291) all_763_0_313 = 0
% 199.62/160.27 |
% 199.62/160.27 | Equations (291) can reduce 296 to:
% 199.62/160.27 | (62) $false
% 199.62/160.27 |
% 199.62/160.27 |-The branch is then unsatisfiable
% 199.62/160.27 |-Branch two:
% 199.62/160.27 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.27 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.27 | (291) all_763_0_313 = 0
% 199.62/160.27 |
% 199.62/160.27 | Equations (291) can reduce 296 to:
% 199.62/160.27 | (62) $false
% 199.62/160.27 |
% 199.62/160.27 |-The branch is then unsatisfiable
% 199.62/160.27 |-Branch two:
% 199.62/160.27 | (2894) ~ (all_1031_0_5245 = 0) & greater_or_equal(all_1031_1_5246, all_33_1_35) = all_1031_0_5245 & end_time(all_33_4_38) = all_1031_1_5246
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (2894) yields:
% 199.62/160.27 | (2895) ~ (all_1031_0_5245 = 0)
% 199.62/160.27 | (2896) greater_or_equal(all_1031_1_5246, all_33_1_35) = all_1031_0_5245
% 199.62/160.27 | (2897) end_time(all_33_4_38) = all_1031_1_5246
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (43) with all_33_4_38, all_1031_1_5246, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1031_1_5246, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.27 | (2898) all_1031_1_5246 = all_33_1_35
% 199.62/160.27 |
% 199.62/160.27 | From (2898) and (2896) follows:
% 199.62/160.27 | (2899) greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_5245
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (34) with all_1031_0_5245, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_5245, yields:
% 199.62/160.27 | (2900) all_1031_0_5245 = 0
% 199.62/160.27 |
% 199.62/160.27 | Equations (2900) can reduce 2895 to:
% 199.62/160.27 | (62) $false
% 199.62/160.27 |
% 199.62/160.27 |-The branch is then unsatisfiable
% 199.62/160.27 |-Branch two:
% 199.62/160.27 | (2902) ~ (all_1031_1_5246 = 0) & environment(all_33_4_38) = all_1031_1_5246
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (2902) yields:
% 199.62/160.27 | (2903) ~ (all_1031_1_5246 = 0)
% 199.62/160.27 | (2904) environment(all_33_4_38) = all_1031_1_5246
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (35) with all_33_4_38, all_1031_1_5246, 0 and discharging atoms environment(all_33_4_38) = all_1031_1_5246, environment(all_33_4_38) = 0, yields:
% 199.62/160.27 | (2886) all_1031_1_5246 = 0
% 199.62/160.27 |
% 199.62/160.27 | Equations (2886) can reduce 2903 to:
% 199.62/160.27 | (62) $false
% 199.62/160.27 |
% 199.62/160.27 |-The branch is then unsatisfiable
% 199.62/160.27 |-Branch two:
% 199.62/160.27 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (403) yields:
% 199.62/160.27 | (404) ~ (all_569_1_284 = 0)
% 199.62/160.27 | (405) environment(all_33_4_38) = all_569_1_284
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.62/160.27 | (406) all_569_1_284 = 0
% 199.62/160.27 |
% 199.62/160.27 | Equations (406) can reduce 404 to:
% 199.62/160.27 | (62) $false
% 199.62/160.27 |
% 199.62/160.27 |-The branch is then unsatisfiable
% 199.62/160.27 |-Branch two:
% 199.62/160.27 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (484) yields:
% 199.62/160.27 | (485) ~ (all_568_1_282 = 0)
% 199.62/160.27 | (486) environment(all_33_4_38) = all_568_1_282
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 199.62/160.27 | (487) all_568_1_282 = 0
% 199.62/160.27 |
% 199.62/160.27 | Equations (487) can reduce 485 to:
% 199.62/160.27 | (62) $false
% 199.62/160.27 |
% 199.62/160.27 |-The branch is then unsatisfiable
% 199.62/160.27 |-Branch two:
% 199.62/160.27 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (489) yields:
% 199.62/160.27 | (326) all_564_0_272 = 0
% 199.62/160.27 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 199.62/160.27 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.27 | (329) all_564_1_273 = all_33_1_35
% 199.62/160.27 |
% 199.62/160.27 | From (329) and (328) follows:
% 199.62/160.27 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.27 |
% 199.62/160.27 +-Applying beta-rule and splitting (277), into two cases.
% 199.62/160.27 |-Branch one:
% 199.62/160.27 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 199.62/160.27 |
% 199.62/160.27 +-Applying beta-rule and splitting (331), into two cases.
% 199.62/160.27 |-Branch one:
% 199.62/160.27 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (332) yields:
% 199.62/160.27 | (333) all_568_0_281 = 0
% 199.62/160.27 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 199.62/160.27 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.27 | (336) all_568_1_282 = all_33_1_35
% 199.62/160.27 |
% 199.62/160.27 | From (336) and (335) follows:
% 199.62/160.27 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.27 |
% 199.62/160.27 +-Applying beta-rule and splitting (278), into two cases.
% 199.62/160.27 |-Branch one:
% 199.62/160.27 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.62/160.27 |
% 199.62/160.27 +-Applying beta-rule and splitting (338), into two cases.
% 199.62/160.27 |-Branch one:
% 199.62/160.27 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (339) yields:
% 199.62/160.27 | (340) all_569_0_283 = 0
% 199.62/160.27 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.62/160.27 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.27 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.27 |
% 199.62/160.27 | From (343) and (342) follows:
% 199.62/160.27 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.27 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.27 |
% 199.62/160.27 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.27 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.27 |
% 199.62/160.27 | Instantiating (345) with all_1033_0_5324, all_1033_1_5325 yields:
% 199.62/160.27 | (2939) (all_1033_1_5325 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_5324 = 0) & greater_or_equal(all_1033_1_5325, all_33_1_35) = all_1033_0_5324 & end_time(all_33_4_38) = all_1033_1_5325) | ( ~ (all_1033_1_5325 = 0) & environment(all_33_4_38) = all_1033_1_5325)
% 199.62/160.27 |
% 199.62/160.27 +-Applying beta-rule and splitting (2939), into two cases.
% 199.62/160.27 |-Branch one:
% 199.62/160.27 | (2940) (all_1033_1_5325 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_5324 = 0) & greater_or_equal(all_1033_1_5325, all_33_1_35) = all_1033_0_5324 & end_time(all_33_4_38) = all_1033_1_5325)
% 199.62/160.27 |
% 199.62/160.27 +-Applying beta-rule and splitting (2940), into two cases.
% 199.62/160.27 |-Branch one:
% 199.62/160.27 | (2941) all_1033_1_5325 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.27 |
% 199.62/160.27 | Applying alpha-rule on (2941) yields:
% 199.62/160.27 | (2942) all_1033_1_5325 = 0
% 199.62/160.27 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.27 |
% 199.62/160.27 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.27 |-Branch one:
% 199.62/160.27 | (291) all_763_0_313 = 0
% 199.62/160.27 |
% 199.62/160.27 | Equations (291) can reduce 296 to:
% 199.62/160.27 | (62) $false
% 199.62/160.27 |
% 199.62/160.27 |-The branch is then unsatisfiable
% 199.62/160.27 |-Branch two:
% 199.62/160.27 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.27 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.28 | (291) all_763_0_313 = 0
% 199.62/160.28 |
% 199.62/160.28 | Equations (291) can reduce 296 to:
% 199.62/160.28 | (62) $false
% 199.62/160.28 |
% 199.62/160.28 |-The branch is then unsatisfiable
% 199.62/160.28 |-Branch two:
% 199.62/160.28 | (2950) ~ (all_1033_0_5324 = 0) & greater_or_equal(all_1033_1_5325, all_33_1_35) = all_1033_0_5324 & end_time(all_33_4_38) = all_1033_1_5325
% 199.62/160.28 |
% 199.62/160.28 | Applying alpha-rule on (2950) yields:
% 199.62/160.28 | (2951) ~ (all_1033_0_5324 = 0)
% 199.62/160.28 | (2952) greater_or_equal(all_1033_1_5325, all_33_1_35) = all_1033_0_5324
% 199.62/160.28 | (2953) end_time(all_33_4_38) = all_1033_1_5325
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (43) with all_33_4_38, all_1033_1_5325, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_5325, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.28 | (2954) all_1033_1_5325 = all_33_1_35
% 199.62/160.28 |
% 199.62/160.28 | From (2954) and (2952) follows:
% 199.62/160.28 | (2955) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_5324
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (34) with all_1033_0_5324, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_5324, yields:
% 199.62/160.28 | (2956) all_1033_0_5324 = 0
% 199.62/160.28 |
% 199.62/160.28 | Equations (2956) can reduce 2951 to:
% 199.62/160.28 | (62) $false
% 199.62/160.28 |
% 199.62/160.28 |-The branch is then unsatisfiable
% 199.62/160.28 |-Branch two:
% 199.62/160.28 | (2958) ~ (all_1033_1_5325 = 0) & environment(all_33_4_38) = all_1033_1_5325
% 199.62/160.28 |
% 199.62/160.28 | Applying alpha-rule on (2958) yields:
% 199.62/160.28 | (2959) ~ (all_1033_1_5325 = 0)
% 199.62/160.28 | (2960) environment(all_33_4_38) = all_1033_1_5325
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (35) with all_33_4_38, all_1033_1_5325, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_5325, environment(all_33_4_38) = 0, yields:
% 199.62/160.28 | (2942) all_1033_1_5325 = 0
% 199.62/160.28 |
% 199.62/160.28 | Equations (2942) can reduce 2959 to:
% 199.62/160.28 | (62) $false
% 199.62/160.28 |
% 199.62/160.28 |-The branch is then unsatisfiable
% 199.62/160.28 |-Branch two:
% 199.62/160.28 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.28 |
% 199.62/160.28 | Applying alpha-rule on (371) yields:
% 199.62/160.28 | (340) all_569_0_283 = 0
% 199.62/160.28 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.62/160.28 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.28 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.28 |
% 199.62/160.28 | From (343) and (342) follows:
% 199.62/160.28 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.28 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.28 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.28 |
% 199.62/160.28 | Instantiating (345) with all_1031_0_5391, all_1031_1_5392 yields:
% 199.62/160.28 | (2971) (all_1031_1_5392 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_5391 = 0) & greater_or_equal(all_1031_1_5392, all_33_1_35) = all_1031_0_5391 & end_time(all_33_4_38) = all_1031_1_5392) | ( ~ (all_1031_1_5392 = 0) & environment(all_33_4_38) = all_1031_1_5392)
% 199.62/160.28 |
% 199.62/160.28 +-Applying beta-rule and splitting (2971), into two cases.
% 199.62/160.28 |-Branch one:
% 199.62/160.28 | (2972) (all_1031_1_5392 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_5391 = 0) & greater_or_equal(all_1031_1_5392, all_33_1_35) = all_1031_0_5391 & end_time(all_33_4_38) = all_1031_1_5392)
% 199.62/160.28 |
% 199.62/160.28 +-Applying beta-rule and splitting (2972), into two cases.
% 199.62/160.28 |-Branch one:
% 199.62/160.28 | (2973) all_1031_1_5392 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.28 |
% 199.62/160.28 | Applying alpha-rule on (2973) yields:
% 199.62/160.28 | (2974) all_1031_1_5392 = 0
% 199.62/160.28 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.28 |
% 199.62/160.28 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.28 |-Branch one:
% 199.62/160.28 | (291) all_763_0_313 = 0
% 199.62/160.28 |
% 199.62/160.28 | Equations (291) can reduce 296 to:
% 199.62/160.28 | (62) $false
% 199.62/160.28 |
% 199.62/160.28 |-The branch is then unsatisfiable
% 199.62/160.28 |-Branch two:
% 199.62/160.28 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.28 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.28 | (291) all_763_0_313 = 0
% 199.62/160.28 |
% 199.62/160.28 | Equations (291) can reduce 296 to:
% 199.62/160.28 | (62) $false
% 199.62/160.28 |
% 199.62/160.28 |-The branch is then unsatisfiable
% 199.62/160.28 |-Branch two:
% 199.62/160.28 | (2982) ~ (all_1031_0_5391 = 0) & greater_or_equal(all_1031_1_5392, all_33_1_35) = all_1031_0_5391 & end_time(all_33_4_38) = all_1031_1_5392
% 199.62/160.28 |
% 199.62/160.28 | Applying alpha-rule on (2982) yields:
% 199.62/160.28 | (2983) ~ (all_1031_0_5391 = 0)
% 199.62/160.28 | (2984) greater_or_equal(all_1031_1_5392, all_33_1_35) = all_1031_0_5391
% 199.62/160.28 | (2985) end_time(all_33_4_38) = all_1031_1_5392
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (43) with all_33_4_38, all_1031_1_5392, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1031_1_5392, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.28 | (2986) all_1031_1_5392 = all_33_1_35
% 199.62/160.28 |
% 199.62/160.28 | From (2986) and (2984) follows:
% 199.62/160.28 | (2987) greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_5391
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (34) with all_1031_0_5391, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_5391, yields:
% 199.62/160.28 | (2988) all_1031_0_5391 = 0
% 199.62/160.28 |
% 199.62/160.28 | Equations (2988) can reduce 2983 to:
% 199.62/160.28 | (62) $false
% 199.62/160.28 |
% 199.62/160.28 |-The branch is then unsatisfiable
% 199.62/160.28 |-Branch two:
% 199.62/160.28 | (2990) ~ (all_1031_1_5392 = 0) & environment(all_33_4_38) = all_1031_1_5392
% 199.62/160.28 |
% 199.62/160.28 | Applying alpha-rule on (2990) yields:
% 199.62/160.28 | (2991) ~ (all_1031_1_5392 = 0)
% 199.62/160.28 | (2992) environment(all_33_4_38) = all_1031_1_5392
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (35) with all_33_4_38, all_1031_1_5392, 0 and discharging atoms environment(all_33_4_38) = all_1031_1_5392, environment(all_33_4_38) = 0, yields:
% 199.62/160.28 | (2974) all_1031_1_5392 = 0
% 199.62/160.28 |
% 199.62/160.28 | Equations (2974) can reduce 2991 to:
% 199.62/160.28 | (62) $false
% 199.62/160.28 |
% 199.62/160.28 |-The branch is then unsatisfiable
% 199.62/160.28 |-Branch two:
% 199.62/160.28 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.62/160.28 |
% 199.62/160.28 | Applying alpha-rule on (403) yields:
% 199.62/160.28 | (404) ~ (all_569_1_284 = 0)
% 199.62/160.28 | (405) environment(all_33_4_38) = all_569_1_284
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.62/160.28 | (406) all_569_1_284 = 0
% 199.62/160.28 |
% 199.62/160.28 | Equations (406) can reduce 404 to:
% 199.62/160.28 | (62) $false
% 199.62/160.28 |
% 199.62/160.28 |-The branch is then unsatisfiable
% 199.62/160.28 |-Branch two:
% 199.62/160.28 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.62/160.28 |
% 199.62/160.28 | Applying alpha-rule on (408) yields:
% 199.62/160.28 | (333) all_568_0_281 = 0
% 199.62/160.28 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 199.62/160.28 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.28 | (336) all_568_1_282 = all_33_1_35
% 199.62/160.28 |
% 199.62/160.28 | From (336) and (335) follows:
% 199.62/160.28 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.28 |
% 199.62/160.28 +-Applying beta-rule and splitting (278), into two cases.
% 199.62/160.28 |-Branch one:
% 199.62/160.28 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.62/160.28 |
% 199.62/160.28 +-Applying beta-rule and splitting (338), into two cases.
% 199.62/160.28 |-Branch one:
% 199.62/160.28 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.28 |
% 199.62/160.28 | Applying alpha-rule on (339) yields:
% 199.62/160.28 | (340) all_569_0_283 = 0
% 199.62/160.28 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.62/160.28 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.28 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.28 |
% 199.62/160.28 | From (343) and (342) follows:
% 199.62/160.28 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.28 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.28 |
% 199.62/160.28 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.28 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.28 |
% 199.62/160.28 | Instantiating (345) with all_1031_0_5465, all_1031_1_5466 yields:
% 199.62/160.28 | (3015) (all_1031_1_5466 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_5465 = 0) & greater_or_equal(all_1031_1_5466, all_33_1_35) = all_1031_0_5465 & end_time(all_33_4_38) = all_1031_1_5466) | ( ~ (all_1031_1_5466 = 0) & environment(all_33_4_38) = all_1031_1_5466)
% 199.62/160.28 |
% 199.62/160.28 +-Applying beta-rule and splitting (3015), into two cases.
% 199.62/160.28 |-Branch one:
% 199.62/160.28 | (3016) (all_1031_1_5466 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1031_0_5465 = 0) & greater_or_equal(all_1031_1_5466, all_33_1_35) = all_1031_0_5465 & end_time(all_33_4_38) = all_1031_1_5466)
% 199.62/160.28 |
% 199.62/160.28 +-Applying beta-rule and splitting (3016), into two cases.
% 199.62/160.28 |-Branch one:
% 199.62/160.28 | (3017) all_1031_1_5466 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.28 |
% 199.62/160.29 | Applying alpha-rule on (3017) yields:
% 199.62/160.29 | (3018) all_1031_1_5466 = 0
% 199.62/160.29 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.29 |
% 199.62/160.29 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.29 |-Branch one:
% 199.62/160.29 | (291) all_763_0_313 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (291) can reduce 296 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.29 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.29 | (291) all_763_0_313 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (291) can reduce 296 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (3026) ~ (all_1031_0_5465 = 0) & greater_or_equal(all_1031_1_5466, all_33_1_35) = all_1031_0_5465 & end_time(all_33_4_38) = all_1031_1_5466
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (3026) yields:
% 199.62/160.29 | (3027) ~ (all_1031_0_5465 = 0)
% 199.62/160.29 | (3028) greater_or_equal(all_1031_1_5466, all_33_1_35) = all_1031_0_5465
% 199.62/160.29 | (3029) end_time(all_33_4_38) = all_1031_1_5466
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (43) with all_33_4_38, all_1031_1_5466, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1031_1_5466, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.29 | (3030) all_1031_1_5466 = all_33_1_35
% 199.62/160.29 |
% 199.62/160.29 | From (3030) and (3028) follows:
% 199.62/160.29 | (3031) greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_5465
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (34) with all_1031_0_5465, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1031_0_5465, yields:
% 199.62/160.29 | (3032) all_1031_0_5465 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (3032) can reduce 3027 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (3034) ~ (all_1031_1_5466 = 0) & environment(all_33_4_38) = all_1031_1_5466
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (3034) yields:
% 199.62/160.29 | (3035) ~ (all_1031_1_5466 = 0)
% 199.62/160.29 | (3036) environment(all_33_4_38) = all_1031_1_5466
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (35) with all_33_4_38, all_1031_1_5466, 0 and discharging atoms environment(all_33_4_38) = all_1031_1_5466, environment(all_33_4_38) = 0, yields:
% 199.62/160.29 | (3018) all_1031_1_5466 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (3018) can reduce 3035 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (371) yields:
% 199.62/160.29 | (340) all_569_0_283 = 0
% 199.62/160.29 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.62/160.29 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.29 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.29 |
% 199.62/160.29 | From (343) and (342) follows:
% 199.62/160.29 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.29 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (56) with all_763_0_313, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, yields:
% 199.62/160.29 | (346) all_763_0_313 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.29 |
% 199.62/160.29 | Instantiating (345) with all_1027_0_5605, all_1027_1_5606 yields:
% 199.62/160.29 | (3047) (all_1027_1_5606 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1027_0_5605 = 0) & greater_or_equal(all_1027_1_5606, all_33_1_35) = all_1027_0_5605 & end_time(all_33_4_38) = all_1027_1_5606) | ( ~ (all_1027_1_5606 = 0) & environment(all_33_4_38) = all_1027_1_5606)
% 199.62/160.29 |
% 199.62/160.29 +-Applying beta-rule and splitting (346), into two cases.
% 199.62/160.29 |-Branch one:
% 199.62/160.29 | (291) all_763_0_313 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (291) can reduce 296 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (296) ~ (all_763_0_313 = 0)
% 199.62/160.29 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.29 |
% 199.62/160.29 +-Applying beta-rule and splitting (3047), into two cases.
% 199.62/160.29 |-Branch one:
% 199.62/160.29 | (3052) (all_1027_1_5606 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1027_0_5605 = 0) & greater_or_equal(all_1027_1_5606, all_33_1_35) = all_1027_0_5605 & end_time(all_33_4_38) = all_1027_1_5606)
% 199.62/160.29 |
% 199.62/160.29 +-Applying beta-rule and splitting (3052), into two cases.
% 199.62/160.29 |-Branch one:
% 199.62/160.29 | (3053) all_1027_1_5606 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (3053) yields:
% 199.62/160.29 | (3054) all_1027_1_5606 = 0
% 199.62/160.29 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_763_0_313 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_763_0_313, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.62/160.29 | (291) all_763_0_313 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (291) can reduce 296 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (3058) ~ (all_1027_0_5605 = 0) & greater_or_equal(all_1027_1_5606, all_33_1_35) = all_1027_0_5605 & end_time(all_33_4_38) = all_1027_1_5606
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (3058) yields:
% 199.62/160.29 | (3059) ~ (all_1027_0_5605 = 0)
% 199.62/160.29 | (3060) greater_or_equal(all_1027_1_5606, all_33_1_35) = all_1027_0_5605
% 199.62/160.29 | (3061) end_time(all_33_4_38) = all_1027_1_5606
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (43) with all_33_4_38, all_1027_1_5606, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1027_1_5606, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.29 | (3062) all_1027_1_5606 = all_33_1_35
% 199.62/160.29 |
% 199.62/160.29 | From (3062) and (3060) follows:
% 199.62/160.29 | (3063) greater_or_equal(all_33_1_35, all_33_1_35) = all_1027_0_5605
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (34) with all_1027_0_5605, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1027_0_5605, yields:
% 199.62/160.29 | (3064) all_1027_0_5605 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (3064) can reduce 3059 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (3066) ~ (all_1027_1_5606 = 0) & environment(all_33_4_38) = all_1027_1_5606
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (3066) yields:
% 199.62/160.29 | (3067) ~ (all_1027_1_5606 = 0)
% 199.62/160.29 | (3068) environment(all_33_4_38) = all_1027_1_5606
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (35) with all_33_4_38, all_1027_1_5606, 0 and discharging atoms environment(all_33_4_38) = all_1027_1_5606, environment(all_33_4_38) = 0, yields:
% 199.62/160.29 | (3054) all_1027_1_5606 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (3054) can reduce 3067 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (403) yields:
% 199.62/160.29 | (404) ~ (all_569_1_284 = 0)
% 199.62/160.29 | (405) environment(all_33_4_38) = all_569_1_284
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.62/160.29 | (406) all_569_1_284 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (406) can reduce 404 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (484) yields:
% 199.62/160.29 | (485) ~ (all_568_1_282 = 0)
% 199.62/160.29 | (486) environment(all_33_4_38) = all_568_1_282
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 199.62/160.29 | (487) all_568_1_282 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (487) can reduce 485 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (653) yields:
% 199.62/160.29 | (654) ~ (all_564_1_273 = 0)
% 199.62/160.29 | (655) environment(all_33_4_38) = all_564_1_273
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 199.62/160.29 | (656) all_564_1_273 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (656) can reduce 654 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (998) ~ (all_559_1_262 = 0) & environment(all_33_4_38) = all_559_1_262
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (998) yields:
% 199.62/160.29 | (999) ~ (all_559_1_262 = 0)
% 199.62/160.29 | (1000) environment(all_33_4_38) = all_559_1_262
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (35) with all_33_4_38, all_559_1_262, 0 and discharging atoms environment(all_33_4_38) = all_559_1_262, environment(all_33_4_38) = 0, yields:
% 199.62/160.29 | (1001) all_559_1_262 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (1001) can reduce 999 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (1695) ~ (all_557_1_258 = 0) & environment(all_33_4_38) = all_557_1_258
% 199.62/160.29 |
% 199.62/160.29 | Applying alpha-rule on (1695) yields:
% 199.62/160.29 | (1696) ~ (all_557_1_258 = 0)
% 199.62/160.29 | (1697) environment(all_33_4_38) = all_557_1_258
% 199.62/160.29 |
% 199.62/160.29 | Instantiating formula (35) with all_33_4_38, all_557_1_258, 0 and discharging atoms environment(all_33_4_38) = all_557_1_258, environment(all_33_4_38) = 0, yields:
% 199.62/160.29 | (1698) all_557_1_258 = 0
% 199.62/160.29 |
% 199.62/160.29 | Equations (1698) can reduce 1696 to:
% 199.62/160.29 | (62) $false
% 199.62/160.29 |
% 199.62/160.29 |-The branch is then unsatisfiable
% 199.62/160.29 |-Branch two:
% 199.62/160.29 | (3096) ~ (all_554_1_250 = 0) & environment(all_33_4_38) = all_554_1_250
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (3096) yields:
% 199.62/160.30 | (3097) ~ (all_554_1_250 = 0)
% 199.62/160.30 | (3098) environment(all_33_4_38) = all_554_1_250
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (35) with all_33_4_38, all_554_1_250, 0 and discharging atoms environment(all_33_4_38) = all_554_1_250, environment(all_33_4_38) = 0, yields:
% 199.62/160.30 | (3099) all_554_1_250 = 0
% 199.62/160.30 |
% 199.62/160.30 | Equations (3099) can reduce 3097 to:
% 199.62/160.30 | (62) $false
% 199.62/160.30 |
% 199.62/160.30 |-The branch is then unsatisfiable
% 199.62/160.30 |-Branch two:
% 199.62/160.30 | (3101) all_424_0_219 = 0 & greater(all_48_3_44, all_424_1_220) = 0 & end_time(all_33_4_38) = all_424_1_220
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (3101) yields:
% 199.62/160.30 | (281) all_424_0_219 = 0
% 199.62/160.30 | (3103) greater(all_48_3_44, all_424_1_220) = 0
% 199.62/160.30 | (283) end_time(all_33_4_38) = all_424_1_220
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (43) with all_33_4_38, all_424_1_220, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_424_1_220, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.30 | (284) all_424_1_220 = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 | From (284) and (283) follows:
% 199.62/160.30 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (54) with all_57_0_67, all_33_1_35 and discharging atoms greater(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.30 | (286) greater_or_equal(all_33_1_35, all_57_0_67) = 0
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 199.62/160.30 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 199.62/160.30 |
% 199.62/160.30 | Instantiating (287) with all_777_0_5721 yields:
% 199.62/160.30 | (3109) (all_777_0_5721 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_777_0_5721 = 0) & environment(all_33_4_38) = all_777_0_5721) | ( ~ (all_777_0_5721 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721)
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (274), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (310) (all_557_0_257 = 0 & greater_or_equal(all_557_1_258, all_135_2_141) = 0 & end_time(all_33_4_38) = all_557_1_258) | (all_557_0_257 = 0 & greater(all_135_2_141, all_557_1_258) = 0 & end_time(all_33_4_38) = all_557_1_258)
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (310), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (311) all_557_0_257 = 0 & greater_or_equal(all_557_1_258, all_135_2_141) = 0 & end_time(all_33_4_38) = all_557_1_258
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (311) yields:
% 199.62/160.30 | (312) all_557_0_257 = 0
% 199.62/160.30 | (313) greater_or_equal(all_557_1_258, all_135_2_141) = 0
% 199.62/160.30 | (314) end_time(all_33_4_38) = all_557_1_258
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (3109), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (3115) (all_777_0_5721 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_777_0_5721 = 0) & environment(all_33_4_38) = all_777_0_5721)
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (3115), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (3116) all_777_0_5721 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (3116) yields:
% 199.62/160.30 | (3117) all_777_0_5721 = 0
% 199.62/160.30 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 199.62/160.30 | (109) all_33_0_34 = 0
% 199.62/160.30 |
% 199.62/160.30 | Equations (109) can reduce 72 to:
% 199.62/160.30 | (62) $false
% 199.62/160.30 |
% 199.62/160.30 |-The branch is then unsatisfiable
% 199.62/160.30 |-Branch two:
% 199.62/160.30 | (3121) ~ (all_777_0_5721 = 0) & environment(all_33_4_38) = all_777_0_5721
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (3121) yields:
% 199.62/160.30 | (3122) ~ (all_777_0_5721 = 0)
% 199.62/160.30 | (3123) environment(all_33_4_38) = all_777_0_5721
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (35) with all_33_4_38, all_777_0_5721, 0 and discharging atoms environment(all_33_4_38) = all_777_0_5721, environment(all_33_4_38) = 0, yields:
% 199.62/160.30 | (3117) all_777_0_5721 = 0
% 199.62/160.30 |
% 199.62/160.30 | Equations (3117) can reduce 3122 to:
% 199.62/160.30 | (62) $false
% 199.62/160.30 |
% 199.62/160.30 |-The branch is then unsatisfiable
% 199.62/160.30 |-Branch two:
% 199.62/160.30 | (3126) ~ (all_777_0_5721 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (3126) yields:
% 199.62/160.30 | (3122) ~ (all_777_0_5721 = 0)
% 199.62/160.30 | (3128) in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (43) with all_33_4_38, all_557_1_258, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_557_1_258, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.30 | (315) all_557_1_258 = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 | From (315) and (314) follows:
% 199.62/160.30 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (275), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (317) (all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262) | (all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262)
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (317), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (318) all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (318) yields:
% 199.62/160.30 | (319) all_559_0_261 = 0
% 199.62/160.30 | (320) greater_or_equal(all_559_1_262, all_60_2_75) = 0
% 199.62/160.30 | (321) end_time(all_33_4_38) = all_559_1_262
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.30 | (322) all_559_1_262 = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 | From (322) and (321) follows:
% 199.62/160.30 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (273), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (303) (all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250) | (all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250)
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (303), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (304) all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (304) yields:
% 199.62/160.30 | (305) all_554_0_249 = 0
% 199.62/160.30 | (306) greater_or_equal(all_554_1_250, all_114_2_98) = 0
% 199.62/160.30 | (307) end_time(all_33_4_38) = all_554_1_250
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (43) with all_33_4_38, all_554_1_250, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_554_1_250, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.30 | (308) all_554_1_250 = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 | From (308) and (307) follows:
% 199.62/160.30 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (277), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (331), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (332) yields:
% 199.62/160.30 | (333) all_568_0_281 = 0
% 199.62/160.30 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 199.62/160.30 | (335) end_time(all_33_4_38) = all_568_1_282
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.30 | (336) all_568_1_282 = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 | From (336) and (335) follows:
% 199.62/160.30 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (276), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (324), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (325) yields:
% 199.62/160.30 | (326) all_564_0_272 = 0
% 199.62/160.30 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 199.62/160.30 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.30 | (329) all_564_1_273 = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 | From (329) and (328) follows:
% 199.62/160.30 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (278), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (338), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (339) yields:
% 199.62/160.30 | (340) all_569_0_283 = 0
% 199.62/160.30 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.62/160.30 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.62/160.30 | (343) all_569_1_284 = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 | From (343) and (342) follows:
% 199.62/160.30 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.62/160.30 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.30 |
% 199.62/160.30 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 199.62/160.30 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.30 |
% 199.62/160.30 | Instantiating (345) with all_1033_0_6315, all_1033_1_6316 yields:
% 199.62/160.30 | (3168) (all_1033_1_6316 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_6315 = 0) & greater_or_equal(all_1033_1_6316, all_33_1_35) = all_1033_0_6315 & end_time(all_33_4_38) = all_1033_1_6316) | ( ~ (all_1033_1_6316 = 0) & environment(all_33_4_38) = all_1033_1_6316)
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (3167), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (3117) all_777_0_5721 = 0
% 199.62/160.30 |
% 199.62/160.30 | Equations (3117) can reduce 3122 to:
% 199.62/160.30 | (62) $false
% 199.62/160.30 |
% 199.62/160.30 |-The branch is then unsatisfiable
% 199.62/160.30 |-Branch two:
% 199.62/160.30 | (3122) ~ (all_777_0_5721 = 0)
% 199.62/160.30 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (3168), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (3173) (all_1033_1_6316 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_6315 = 0) & greater_or_equal(all_1033_1_6316, all_33_1_35) = all_1033_0_6315 & end_time(all_33_4_38) = all_1033_1_6316)
% 199.62/160.30 |
% 199.62/160.30 +-Applying beta-rule and splitting (3173), into two cases.
% 199.62/160.30 |-Branch one:
% 199.62/160.30 | (3174) all_1033_1_6316 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.62/160.30 |
% 199.62/160.30 | Applying alpha-rule on (3174) yields:
% 199.95/160.30 | (3175) all_1033_1_6316 = 0
% 199.95/160.30 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.95/160.30 |
% 199.95/160.30 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.95/160.30 | (3117) all_777_0_5721 = 0
% 199.95/160.30 |
% 199.95/160.30 | Equations (3117) can reduce 3122 to:
% 199.95/160.30 | (62) $false
% 199.95/160.30 |
% 199.95/160.30 |-The branch is then unsatisfiable
% 199.95/160.30 |-Branch two:
% 199.95/160.31 | (3179) ~ (all_1033_0_6315 = 0) & greater_or_equal(all_1033_1_6316, all_33_1_35) = all_1033_0_6315 & end_time(all_33_4_38) = all_1033_1_6316
% 199.95/160.31 |
% 199.95/160.31 | Applying alpha-rule on (3179) yields:
% 199.95/160.31 | (3180) ~ (all_1033_0_6315 = 0)
% 199.95/160.31 | (3181) greater_or_equal(all_1033_1_6316, all_33_1_35) = all_1033_0_6315
% 199.95/160.31 | (3182) end_time(all_33_4_38) = all_1033_1_6316
% 199.95/160.31 |
% 199.95/160.31 | Instantiating formula (43) with all_33_4_38, all_1033_1_6316, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_6316, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.95/160.31 | (3183) all_1033_1_6316 = all_33_1_35
% 199.95/160.31 |
% 199.95/160.31 | From (3183) and (3181) follows:
% 199.95/160.31 | (3184) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_6315
% 199.95/160.31 |
% 199.95/160.31 | Instantiating formula (34) with all_1033_0_6315, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_6315, yields:
% 199.95/160.31 | (3185) all_1033_0_6315 = 0
% 199.95/160.31 |
% 199.95/160.31 | Equations (3185) can reduce 3180 to:
% 199.95/160.31 | (62) $false
% 199.95/160.31 |
% 199.95/160.31 |-The branch is then unsatisfiable
% 199.95/160.31 |-Branch two:
% 199.95/160.31 | (3187) ~ (all_1033_1_6316 = 0) & environment(all_33_4_38) = all_1033_1_6316
% 199.95/160.31 |
% 199.95/160.31 | Applying alpha-rule on (3187) yields:
% 199.95/160.31 | (3188) ~ (all_1033_1_6316 = 0)
% 199.97/160.31 | (3189) environment(all_33_4_38) = all_1033_1_6316
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (35) with all_33_4_38, all_1033_1_6316, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_6316, environment(all_33_4_38) = 0, yields:
% 199.97/160.31 | (3175) all_1033_1_6316 = 0
% 199.97/160.31 |
% 199.97/160.31 | Equations (3175) can reduce 3188 to:
% 199.97/160.31 | (62) $false
% 199.97/160.31 |
% 199.97/160.31 |-The branch is then unsatisfiable
% 199.97/160.31 |-Branch two:
% 199.97/160.31 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.97/160.31 |
% 199.97/160.31 | Applying alpha-rule on (371) yields:
% 199.97/160.31 | (340) all_569_0_283 = 0
% 199.97/160.31 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 199.97/160.31 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.97/160.31 | (343) all_569_1_284 = all_33_1_35
% 199.97/160.31 |
% 199.97/160.31 | From (343) and (342) follows:
% 199.97/160.31 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.97/160.31 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 199.97/160.31 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.97/160.31 |
% 199.97/160.31 | Instantiating (345) with all_1033_0_6859, all_1033_1_6860 yields:
% 199.97/160.31 | (3200) (all_1033_1_6860 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_6859 = 0) & greater_or_equal(all_1033_1_6860, all_33_1_35) = all_1033_0_6859 & end_time(all_33_4_38) = all_1033_1_6860) | ( ~ (all_1033_1_6860 = 0) & environment(all_33_4_38) = all_1033_1_6860)
% 199.97/160.31 |
% 199.97/160.31 +-Applying beta-rule and splitting (3167), into two cases.
% 199.97/160.31 |-Branch one:
% 199.97/160.31 | (3117) all_777_0_5721 = 0
% 199.97/160.31 |
% 199.97/160.31 | Equations (3117) can reduce 3122 to:
% 199.97/160.31 | (62) $false
% 199.97/160.31 |
% 199.97/160.31 |-The branch is then unsatisfiable
% 199.97/160.31 |-Branch two:
% 199.97/160.31 | (3122) ~ (all_777_0_5721 = 0)
% 199.97/160.31 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.97/160.31 |
% 199.97/160.31 +-Applying beta-rule and splitting (3200), into two cases.
% 199.97/160.31 |-Branch one:
% 199.97/160.31 | (3205) (all_1033_1_6860 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_6859 = 0) & greater_or_equal(all_1033_1_6860, all_33_1_35) = all_1033_0_6859 & end_time(all_33_4_38) = all_1033_1_6860)
% 199.97/160.31 |
% 199.97/160.31 +-Applying beta-rule and splitting (3205), into two cases.
% 199.97/160.31 |-Branch one:
% 199.97/160.31 | (3206) all_1033_1_6860 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 199.97/160.31 |
% 199.97/160.31 | Applying alpha-rule on (3206) yields:
% 199.97/160.31 | (3207) all_1033_1_6860 = 0
% 199.97/160.31 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 199.97/160.31 | (3117) all_777_0_5721 = 0
% 199.97/160.31 |
% 199.97/160.31 | Equations (3117) can reduce 3122 to:
% 199.97/160.31 | (62) $false
% 199.97/160.31 |
% 199.97/160.31 |-The branch is then unsatisfiable
% 199.97/160.31 |-Branch two:
% 199.97/160.31 | (3211) ~ (all_1033_0_6859 = 0) & greater_or_equal(all_1033_1_6860, all_33_1_35) = all_1033_0_6859 & end_time(all_33_4_38) = all_1033_1_6860
% 199.97/160.31 |
% 199.97/160.31 | Applying alpha-rule on (3211) yields:
% 199.97/160.31 | (3212) ~ (all_1033_0_6859 = 0)
% 199.97/160.31 | (3213) greater_or_equal(all_1033_1_6860, all_33_1_35) = all_1033_0_6859
% 199.97/160.31 | (3214) end_time(all_33_4_38) = all_1033_1_6860
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (43) with all_33_4_38, all_1033_1_6860, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_6860, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.97/160.31 | (3215) all_1033_1_6860 = all_33_1_35
% 199.97/160.31 |
% 199.97/160.31 | From (3215) and (3213) follows:
% 199.97/160.31 | (3216) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_6859
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (34) with all_1033_0_6859, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_6859, yields:
% 199.97/160.31 | (3217) all_1033_0_6859 = 0
% 199.97/160.31 |
% 199.97/160.31 | Equations (3217) can reduce 3212 to:
% 199.97/160.31 | (62) $false
% 199.97/160.31 |
% 199.97/160.31 |-The branch is then unsatisfiable
% 199.97/160.31 |-Branch two:
% 199.97/160.31 | (3219) ~ (all_1033_1_6860 = 0) & environment(all_33_4_38) = all_1033_1_6860
% 199.97/160.31 |
% 199.97/160.31 | Applying alpha-rule on (3219) yields:
% 199.97/160.31 | (3220) ~ (all_1033_1_6860 = 0)
% 199.97/160.31 | (3221) environment(all_33_4_38) = all_1033_1_6860
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (35) with all_33_4_38, all_1033_1_6860, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_6860, environment(all_33_4_38) = 0, yields:
% 199.97/160.31 | (3207) all_1033_1_6860 = 0
% 199.97/160.31 |
% 199.97/160.31 | Equations (3207) can reduce 3220 to:
% 199.97/160.31 | (62) $false
% 199.97/160.31 |
% 199.97/160.31 |-The branch is then unsatisfiable
% 199.97/160.31 |-Branch two:
% 199.97/160.31 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 199.97/160.31 |
% 199.97/160.31 | Applying alpha-rule on (403) yields:
% 199.97/160.31 | (404) ~ (all_569_1_284 = 0)
% 199.97/160.31 | (405) environment(all_33_4_38) = all_569_1_284
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 199.97/160.31 | (406) all_569_1_284 = 0
% 199.97/160.31 |
% 199.97/160.31 | Equations (406) can reduce 404 to:
% 199.97/160.31 | (62) $false
% 199.97/160.31 |
% 199.97/160.31 |-The branch is then unsatisfiable
% 199.97/160.31 |-Branch two:
% 199.97/160.31 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 199.97/160.31 |
% 199.97/160.31 | Applying alpha-rule on (489) yields:
% 199.97/160.31 | (326) all_564_0_272 = 0
% 199.97/160.31 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 199.97/160.31 | (328) end_time(all_33_4_38) = all_564_1_273
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.97/160.31 | (329) all_564_1_273 = all_33_1_35
% 199.97/160.31 |
% 199.97/160.31 | From (329) and (328) follows:
% 199.97/160.31 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.97/160.31 |
% 199.97/160.31 +-Applying beta-rule and splitting (278), into two cases.
% 199.97/160.31 |-Branch one:
% 199.97/160.31 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 199.97/160.31 |
% 199.97/160.31 +-Applying beta-rule and splitting (338), into two cases.
% 199.97/160.31 |-Branch one:
% 199.97/160.31 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 199.97/160.31 |
% 199.97/160.31 | Applying alpha-rule on (339) yields:
% 199.97/160.31 | (340) all_569_0_283 = 0
% 199.97/160.31 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 199.97/160.31 | (342) end_time(all_33_4_38) = all_569_1_284
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 199.97/160.31 | (343) all_569_1_284 = all_33_1_35
% 199.97/160.31 |
% 199.97/160.31 | From (343) and (342) follows:
% 199.97/160.31 | (67) end_time(all_33_4_38) = all_33_1_35
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 199.97/160.31 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.97/160.31 |
% 199.97/160.31 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 199.97/160.32 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 199.97/160.32 |
% 199.97/160.32 | Instantiating (345) with all_1033_0_7403, all_1033_1_7404 yields:
% 199.97/160.32 | (3244) (all_1033_1_7404 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_7403 = 0) & greater_or_equal(all_1033_1_7404, all_33_1_35) = all_1033_0_7403 & end_time(all_33_4_38) = all_1033_1_7404) | ( ~ (all_1033_1_7404 = 0) & environment(all_33_4_38) = all_1033_1_7404)
% 199.97/160.32 |
% 199.97/160.32 +-Applying beta-rule and splitting (3167), into two cases.
% 199.97/160.32 |-Branch one:
% 199.97/160.32 | (3117) all_777_0_5721 = 0
% 199.97/160.32 |
% 199.97/160.32 | Equations (3117) can reduce 3122 to:
% 199.97/160.32 | (62) $false
% 199.97/160.32 |
% 199.97/160.32 |-The branch is then unsatisfiable
% 199.97/160.32 |-Branch two:
% 199.97/160.32 | (3122) ~ (all_777_0_5721 = 0)
% 199.97/160.32 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.32 |
% 200.00/160.32 +-Applying beta-rule and splitting (3244), into two cases.
% 200.00/160.32 |-Branch one:
% 200.00/160.32 | (3249) (all_1033_1_7404 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_7403 = 0) & greater_or_equal(all_1033_1_7404, all_33_1_35) = all_1033_0_7403 & end_time(all_33_4_38) = all_1033_1_7404)
% 200.00/160.32 |
% 200.00/160.32 +-Applying beta-rule and splitting (3249), into two cases.
% 200.00/160.32 |-Branch one:
% 200.00/160.32 | (3250) all_1033_1_7404 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.32 |
% 200.00/160.32 | Applying alpha-rule on (3250) yields:
% 200.00/160.32 | (3251) all_1033_1_7404 = 0
% 200.00/160.32 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.32 |
% 200.00/160.32 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.32 | (3117) all_777_0_5721 = 0
% 200.00/160.32 |
% 200.00/160.32 | Equations (3117) can reduce 3122 to:
% 200.00/160.32 | (62) $false
% 200.00/160.32 |
% 200.00/160.32 |-The branch is then unsatisfiable
% 200.00/160.32 |-Branch two:
% 200.00/160.32 | (3255) ~ (all_1033_0_7403 = 0) & greater_or_equal(all_1033_1_7404, all_33_1_35) = all_1033_0_7403 & end_time(all_33_4_38) = all_1033_1_7404
% 200.00/160.32 |
% 200.00/160.32 | Applying alpha-rule on (3255) yields:
% 200.00/160.32 | (3256) ~ (all_1033_0_7403 = 0)
% 200.00/160.32 | (3257) greater_or_equal(all_1033_1_7404, all_33_1_35) = all_1033_0_7403
% 200.00/160.32 | (3258) end_time(all_33_4_38) = all_1033_1_7404
% 200.00/160.32 |
% 200.00/160.32 | Instantiating formula (43) with all_33_4_38, all_1033_1_7404, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_7404, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.32 | (3259) all_1033_1_7404 = all_33_1_35
% 200.00/160.32 |
% 200.00/160.32 | From (3259) and (3257) follows:
% 200.00/160.32 | (3260) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_7403
% 200.00/160.32 |
% 200.00/160.32 | Instantiating formula (34) with all_1033_0_7403, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_7403, yields:
% 200.00/160.32 | (3261) all_1033_0_7403 = 0
% 200.00/160.32 |
% 200.00/160.32 | Equations (3261) can reduce 3256 to:
% 200.00/160.32 | (62) $false
% 200.00/160.32 |
% 200.00/160.32 |-The branch is then unsatisfiable
% 200.00/160.32 |-Branch two:
% 200.00/160.32 | (3263) ~ (all_1033_1_7404 = 0) & environment(all_33_4_38) = all_1033_1_7404
% 200.00/160.32 |
% 200.00/160.32 | Applying alpha-rule on (3263) yields:
% 200.00/160.32 | (3264) ~ (all_1033_1_7404 = 0)
% 200.00/160.32 | (3265) environment(all_33_4_38) = all_1033_1_7404
% 200.00/160.32 |
% 200.00/160.32 | Instantiating formula (35) with all_33_4_38, all_1033_1_7404, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_7404, environment(all_33_4_38) = 0, yields:
% 200.00/160.32 | (3251) all_1033_1_7404 = 0
% 200.00/160.32 |
% 200.00/160.32 | Equations (3251) can reduce 3264 to:
% 200.00/160.32 | (62) $false
% 200.00/160.32 |
% 200.00/160.32 |-The branch is then unsatisfiable
% 200.00/160.32 |-Branch two:
% 200.00/160.32 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.32 |
% 200.00/160.32 | Applying alpha-rule on (371) yields:
% 200.00/160.32 | (340) all_569_0_283 = 0
% 200.00/160.32 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.00/160.32 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.32 |
% 200.00/160.32 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.32 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.32 |
% 200.00/160.32 | From (343) and (342) follows:
% 200.00/160.32 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.32 |
% 200.00/160.32 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.32 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.32 |
% 200.00/160.32 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.32 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.32 |
% 200.00/160.32 | Instantiating (345) with all_1033_0_7947, all_1033_1_7948 yields:
% 200.00/160.32 | (3276) (all_1033_1_7948 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_7947 = 0) & greater_or_equal(all_1033_1_7948, all_33_1_35) = all_1033_0_7947 & end_time(all_33_4_38) = all_1033_1_7948) | ( ~ (all_1033_1_7948 = 0) & environment(all_33_4_38) = all_1033_1_7948)
% 200.00/160.32 |
% 200.00/160.32 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.32 |-Branch one:
% 200.00/160.32 | (3117) all_777_0_5721 = 0
% 200.00/160.32 |
% 200.00/160.32 | Equations (3117) can reduce 3122 to:
% 200.00/160.32 | (62) $false
% 200.00/160.32 |
% 200.00/160.32 |-The branch is then unsatisfiable
% 200.00/160.32 |-Branch two:
% 200.00/160.32 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.32 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.32 |
% 200.00/160.32 +-Applying beta-rule and splitting (3276), into two cases.
% 200.00/160.32 |-Branch one:
% 200.00/160.32 | (3281) (all_1033_1_7948 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_7947 = 0) & greater_or_equal(all_1033_1_7948, all_33_1_35) = all_1033_0_7947 & end_time(all_33_4_38) = all_1033_1_7948)
% 200.00/160.32 |
% 200.00/160.32 +-Applying beta-rule and splitting (3281), into two cases.
% 200.00/160.32 |-Branch one:
% 200.00/160.32 | (3282) all_1033_1_7948 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.32 |
% 200.00/160.32 | Applying alpha-rule on (3282) yields:
% 200.00/160.32 | (3283) all_1033_1_7948 = 0
% 200.00/160.32 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.32 |
% 200.00/160.32 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.32 | (3117) all_777_0_5721 = 0
% 200.00/160.32 |
% 200.00/160.32 | Equations (3117) can reduce 3122 to:
% 200.00/160.32 | (62) $false
% 200.00/160.32 |
% 200.00/160.32 |-The branch is then unsatisfiable
% 200.00/160.32 |-Branch two:
% 200.00/160.32 | (3287) ~ (all_1033_0_7947 = 0) & greater_or_equal(all_1033_1_7948, all_33_1_35) = all_1033_0_7947 & end_time(all_33_4_38) = all_1033_1_7948
% 200.00/160.32 |
% 200.00/160.32 | Applying alpha-rule on (3287) yields:
% 200.00/160.32 | (3288) ~ (all_1033_0_7947 = 0)
% 200.00/160.32 | (3289) greater_or_equal(all_1033_1_7948, all_33_1_35) = all_1033_0_7947
% 200.00/160.32 | (3290) end_time(all_33_4_38) = all_1033_1_7948
% 200.00/160.32 |
% 200.00/160.32 | Instantiating formula (43) with all_33_4_38, all_1033_1_7948, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_7948, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.32 | (3291) all_1033_1_7948 = all_33_1_35
% 200.00/160.32 |
% 200.00/160.32 | From (3291) and (3289) follows:
% 200.00/160.32 | (3292) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_7947
% 200.00/160.32 |
% 200.00/160.32 | Instantiating formula (34) with all_1033_0_7947, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_7947, yields:
% 200.00/160.32 | (3293) all_1033_0_7947 = 0
% 200.00/160.32 |
% 200.00/160.32 | Equations (3293) can reduce 3288 to:
% 200.00/160.32 | (62) $false
% 200.00/160.32 |
% 200.00/160.32 |-The branch is then unsatisfiable
% 200.00/160.32 |-Branch two:
% 200.00/160.32 | (3295) ~ (all_1033_1_7948 = 0) & environment(all_33_4_38) = all_1033_1_7948
% 200.00/160.32 |
% 200.00/160.32 | Applying alpha-rule on (3295) yields:
% 200.00/160.33 | (3296) ~ (all_1033_1_7948 = 0)
% 200.00/160.33 | (3297) environment(all_33_4_38) = all_1033_1_7948
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (35) with all_33_4_38, all_1033_1_7948, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_7948, environment(all_33_4_38) = 0, yields:
% 200.00/160.33 | (3283) all_1033_1_7948 = 0
% 200.00/160.33 |
% 200.00/160.33 | Equations (3283) can reduce 3296 to:
% 200.00/160.33 | (62) $false
% 200.00/160.33 |
% 200.00/160.33 |-The branch is then unsatisfiable
% 200.00/160.33 |-Branch two:
% 200.00/160.33 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.00/160.33 |
% 200.00/160.33 | Applying alpha-rule on (403) yields:
% 200.00/160.33 | (404) ~ (all_569_1_284 = 0)
% 200.00/160.33 | (405) environment(all_33_4_38) = all_569_1_284
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.00/160.33 | (406) all_569_1_284 = 0
% 200.00/160.33 |
% 200.00/160.33 | Equations (406) can reduce 404 to:
% 200.00/160.33 | (62) $false
% 200.00/160.33 |
% 200.00/160.33 |-The branch is then unsatisfiable
% 200.00/160.33 |-Branch two:
% 200.00/160.33 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.00/160.33 |
% 200.00/160.33 | Applying alpha-rule on (653) yields:
% 200.00/160.33 | (654) ~ (all_564_1_273 = 0)
% 200.00/160.33 | (655) environment(all_33_4_38) = all_564_1_273
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.00/160.33 | (656) all_564_1_273 = 0
% 200.00/160.33 |
% 200.00/160.33 | Equations (656) can reduce 654 to:
% 200.00/160.33 | (62) $false
% 200.00/160.33 |
% 200.00/160.33 |-The branch is then unsatisfiable
% 200.00/160.33 |-Branch two:
% 200.00/160.33 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.00/160.33 |
% 200.00/160.33 | Applying alpha-rule on (408) yields:
% 200.00/160.33 | (333) all_568_0_281 = 0
% 200.00/160.33 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 200.00/160.33 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.33 | (336) all_568_1_282 = all_33_1_35
% 200.00/160.33 |
% 200.00/160.33 | From (336) and (335) follows:
% 200.00/160.33 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.33 |
% 200.00/160.33 +-Applying beta-rule and splitting (276), into two cases.
% 200.00/160.33 |-Branch one:
% 200.00/160.33 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.00/160.33 |
% 200.00/160.33 +-Applying beta-rule and splitting (324), into two cases.
% 200.00/160.33 |-Branch one:
% 200.00/160.33 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.00/160.33 |
% 200.00/160.33 | Applying alpha-rule on (325) yields:
% 200.00/160.33 | (326) all_564_0_272 = 0
% 200.00/160.33 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.00/160.33 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.33 | (329) all_564_1_273 = all_33_1_35
% 200.00/160.33 |
% 200.00/160.33 | From (329) and (328) follows:
% 200.00/160.33 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.33 |
% 200.00/160.33 +-Applying beta-rule and splitting (278), into two cases.
% 200.00/160.33 |-Branch one:
% 200.00/160.33 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.00/160.33 |
% 200.00/160.33 +-Applying beta-rule and splitting (338), into two cases.
% 200.00/160.33 |-Branch one:
% 200.00/160.33 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.33 |
% 200.00/160.33 | Applying alpha-rule on (339) yields:
% 200.00/160.33 | (340) all_569_0_283 = 0
% 200.00/160.33 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.00/160.33 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.33 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.33 |
% 200.00/160.33 | From (343) and (342) follows:
% 200.00/160.33 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.33 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.33 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.33 |
% 200.00/160.33 | Instantiating (345) with all_1033_0_8491, all_1033_1_8492 yields:
% 200.00/160.33 | (3332) (all_1033_1_8492 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_8491 = 0) & greater_or_equal(all_1033_1_8492, all_33_1_35) = all_1033_0_8491 & end_time(all_33_4_38) = all_1033_1_8492) | ( ~ (all_1033_1_8492 = 0) & environment(all_33_4_38) = all_1033_1_8492)
% 200.00/160.33 |
% 200.00/160.33 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.33 |-Branch one:
% 200.00/160.33 | (3117) all_777_0_5721 = 0
% 200.00/160.33 |
% 200.00/160.33 | Equations (3117) can reduce 3122 to:
% 200.00/160.33 | (62) $false
% 200.00/160.33 |
% 200.00/160.33 |-The branch is then unsatisfiable
% 200.00/160.33 |-Branch two:
% 200.00/160.33 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.33 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.33 |
% 200.00/160.33 +-Applying beta-rule and splitting (3332), into two cases.
% 200.00/160.33 |-Branch one:
% 200.00/160.33 | (3337) (all_1033_1_8492 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_8491 = 0) & greater_or_equal(all_1033_1_8492, all_33_1_35) = all_1033_0_8491 & end_time(all_33_4_38) = all_1033_1_8492)
% 200.00/160.33 |
% 200.00/160.33 +-Applying beta-rule and splitting (3337), into two cases.
% 200.00/160.33 |-Branch one:
% 200.00/160.33 | (3338) all_1033_1_8492 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.33 |
% 200.00/160.33 | Applying alpha-rule on (3338) yields:
% 200.00/160.33 | (3339) all_1033_1_8492 = 0
% 200.00/160.33 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.33 | (3117) all_777_0_5721 = 0
% 200.00/160.33 |
% 200.00/160.33 | Equations (3117) can reduce 3122 to:
% 200.00/160.33 | (62) $false
% 200.00/160.33 |
% 200.00/160.33 |-The branch is then unsatisfiable
% 200.00/160.33 |-Branch two:
% 200.00/160.33 | (3343) ~ (all_1033_0_8491 = 0) & greater_or_equal(all_1033_1_8492, all_33_1_35) = all_1033_0_8491 & end_time(all_33_4_38) = all_1033_1_8492
% 200.00/160.33 |
% 200.00/160.33 | Applying alpha-rule on (3343) yields:
% 200.00/160.33 | (3344) ~ (all_1033_0_8491 = 0)
% 200.00/160.33 | (3345) greater_or_equal(all_1033_1_8492, all_33_1_35) = all_1033_0_8491
% 200.00/160.33 | (3346) end_time(all_33_4_38) = all_1033_1_8492
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (43) with all_33_4_38, all_1033_1_8492, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_8492, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.33 | (3347) all_1033_1_8492 = all_33_1_35
% 200.00/160.33 |
% 200.00/160.33 | From (3347) and (3345) follows:
% 200.00/160.33 | (3348) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_8491
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (34) with all_1033_0_8491, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_8491, yields:
% 200.00/160.33 | (3349) all_1033_0_8491 = 0
% 200.00/160.33 |
% 200.00/160.33 | Equations (3349) can reduce 3344 to:
% 200.00/160.33 | (62) $false
% 200.00/160.33 |
% 200.00/160.33 |-The branch is then unsatisfiable
% 200.00/160.33 |-Branch two:
% 200.00/160.33 | (3351) ~ (all_1033_1_8492 = 0) & environment(all_33_4_38) = all_1033_1_8492
% 200.00/160.33 |
% 200.00/160.33 | Applying alpha-rule on (3351) yields:
% 200.00/160.33 | (3352) ~ (all_1033_1_8492 = 0)
% 200.00/160.33 | (3353) environment(all_33_4_38) = all_1033_1_8492
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (35) with all_33_4_38, all_1033_1_8492, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_8492, environment(all_33_4_38) = 0, yields:
% 200.00/160.33 | (3339) all_1033_1_8492 = 0
% 200.00/160.33 |
% 200.00/160.33 | Equations (3339) can reduce 3352 to:
% 200.00/160.33 | (62) $false
% 200.00/160.33 |
% 200.00/160.33 |-The branch is then unsatisfiable
% 200.00/160.33 |-Branch two:
% 200.00/160.33 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.33 |
% 200.00/160.33 | Applying alpha-rule on (371) yields:
% 200.00/160.33 | (340) all_569_0_283 = 0
% 200.00/160.33 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.00/160.33 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.33 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.33 |
% 200.00/160.33 | From (343) and (342) follows:
% 200.00/160.33 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.33 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.33 |
% 200.00/160.33 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.33 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.33 |
% 200.00/160.33 | Instantiating (345) with all_1033_0_9035, all_1033_1_9036 yields:
% 200.00/160.33 | (3364) (all_1033_1_9036 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_9035 = 0) & greater_or_equal(all_1033_1_9036, all_33_1_35) = all_1033_0_9035 & end_time(all_33_4_38) = all_1033_1_9036) | ( ~ (all_1033_1_9036 = 0) & environment(all_33_4_38) = all_1033_1_9036)
% 200.00/160.33 |
% 200.00/160.33 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.33 |-Branch one:
% 200.00/160.34 | (3117) all_777_0_5721 = 0
% 200.00/160.34 |
% 200.00/160.34 | Equations (3117) can reduce 3122 to:
% 200.00/160.34 | (62) $false
% 200.00/160.34 |
% 200.00/160.34 |-The branch is then unsatisfiable
% 200.00/160.34 |-Branch two:
% 200.00/160.34 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.34 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.34 |
% 200.00/160.34 +-Applying beta-rule and splitting (3364), into two cases.
% 200.00/160.34 |-Branch one:
% 200.00/160.34 | (3369) (all_1033_1_9036 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_9035 = 0) & greater_or_equal(all_1033_1_9036, all_33_1_35) = all_1033_0_9035 & end_time(all_33_4_38) = all_1033_1_9036)
% 200.00/160.34 |
% 200.00/160.34 +-Applying beta-rule and splitting (3369), into two cases.
% 200.00/160.34 |-Branch one:
% 200.00/160.34 | (3370) all_1033_1_9036 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.34 |
% 200.00/160.34 | Applying alpha-rule on (3370) yields:
% 200.00/160.34 | (3371) all_1033_1_9036 = 0
% 200.00/160.34 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.34 | (3117) all_777_0_5721 = 0
% 200.00/160.34 |
% 200.00/160.34 | Equations (3117) can reduce 3122 to:
% 200.00/160.34 | (62) $false
% 200.00/160.34 |
% 200.00/160.34 |-The branch is then unsatisfiable
% 200.00/160.34 |-Branch two:
% 200.00/160.34 | (3375) ~ (all_1033_0_9035 = 0) & greater_or_equal(all_1033_1_9036, all_33_1_35) = all_1033_0_9035 & end_time(all_33_4_38) = all_1033_1_9036
% 200.00/160.34 |
% 200.00/160.34 | Applying alpha-rule on (3375) yields:
% 200.00/160.34 | (3376) ~ (all_1033_0_9035 = 0)
% 200.00/160.34 | (3377) greater_or_equal(all_1033_1_9036, all_33_1_35) = all_1033_0_9035
% 200.00/160.34 | (3378) end_time(all_33_4_38) = all_1033_1_9036
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (43) with all_33_4_38, all_1033_1_9036, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_9036, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.34 | (3379) all_1033_1_9036 = all_33_1_35
% 200.00/160.34 |
% 200.00/160.34 | From (3379) and (3377) follows:
% 200.00/160.34 | (3380) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_9035
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (34) with all_1033_0_9035, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_9035, yields:
% 200.00/160.34 | (3381) all_1033_0_9035 = 0
% 200.00/160.34 |
% 200.00/160.34 | Equations (3381) can reduce 3376 to:
% 200.00/160.34 | (62) $false
% 200.00/160.34 |
% 200.00/160.34 |-The branch is then unsatisfiable
% 200.00/160.34 |-Branch two:
% 200.00/160.34 | (3383) ~ (all_1033_1_9036 = 0) & environment(all_33_4_38) = all_1033_1_9036
% 200.00/160.34 |
% 200.00/160.34 | Applying alpha-rule on (3383) yields:
% 200.00/160.34 | (3384) ~ (all_1033_1_9036 = 0)
% 200.00/160.34 | (3385) environment(all_33_4_38) = all_1033_1_9036
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (35) with all_33_4_38, all_1033_1_9036, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_9036, environment(all_33_4_38) = 0, yields:
% 200.00/160.34 | (3371) all_1033_1_9036 = 0
% 200.00/160.34 |
% 200.00/160.34 | Equations (3371) can reduce 3384 to:
% 200.00/160.34 | (62) $false
% 200.00/160.34 |
% 200.00/160.34 |-The branch is then unsatisfiable
% 200.00/160.34 |-Branch two:
% 200.00/160.34 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.00/160.34 |
% 200.00/160.34 | Applying alpha-rule on (403) yields:
% 200.00/160.34 | (404) ~ (all_569_1_284 = 0)
% 200.00/160.34 | (405) environment(all_33_4_38) = all_569_1_284
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.00/160.34 | (406) all_569_1_284 = 0
% 200.00/160.34 |
% 200.00/160.34 | Equations (406) can reduce 404 to:
% 200.00/160.34 | (62) $false
% 200.00/160.34 |
% 200.00/160.34 |-The branch is then unsatisfiable
% 200.00/160.34 |-Branch two:
% 200.00/160.34 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.00/160.34 |
% 200.00/160.34 | Applying alpha-rule on (489) yields:
% 200.00/160.34 | (326) all_564_0_272 = 0
% 200.00/160.34 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 200.00/160.34 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.34 | (329) all_564_1_273 = all_33_1_35
% 200.00/160.34 |
% 200.00/160.34 | From (329) and (328) follows:
% 200.00/160.34 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.34 |
% 200.00/160.34 +-Applying beta-rule and splitting (278), into two cases.
% 200.00/160.34 |-Branch one:
% 200.00/160.34 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.00/160.34 |
% 200.00/160.34 +-Applying beta-rule and splitting (338), into two cases.
% 200.00/160.34 |-Branch one:
% 200.00/160.34 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.34 |
% 200.00/160.34 | Applying alpha-rule on (339) yields:
% 200.00/160.34 | (340) all_569_0_283 = 0
% 200.00/160.34 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.00/160.34 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.34 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.34 |
% 200.00/160.34 | From (343) and (342) follows:
% 200.00/160.34 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.34 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.34 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.34 |
% 200.00/160.34 | Instantiating (345) with all_1033_0_9579, all_1033_1_9580 yields:
% 200.00/160.34 | (3408) (all_1033_1_9580 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_9579 = 0) & greater_or_equal(all_1033_1_9580, all_33_1_35) = all_1033_0_9579 & end_time(all_33_4_38) = all_1033_1_9580) | ( ~ (all_1033_1_9580 = 0) & environment(all_33_4_38) = all_1033_1_9580)
% 200.00/160.34 |
% 200.00/160.34 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.34 |-Branch one:
% 200.00/160.34 | (3117) all_777_0_5721 = 0
% 200.00/160.34 |
% 200.00/160.34 | Equations (3117) can reduce 3122 to:
% 200.00/160.34 | (62) $false
% 200.00/160.34 |
% 200.00/160.34 |-The branch is then unsatisfiable
% 200.00/160.34 |-Branch two:
% 200.00/160.34 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.34 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.34 |
% 200.00/160.34 +-Applying beta-rule and splitting (3408), into two cases.
% 200.00/160.34 |-Branch one:
% 200.00/160.34 | (3413) (all_1033_1_9580 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_9579 = 0) & greater_or_equal(all_1033_1_9580, all_33_1_35) = all_1033_0_9579 & end_time(all_33_4_38) = all_1033_1_9580)
% 200.00/160.34 |
% 200.00/160.34 +-Applying beta-rule and splitting (3413), into two cases.
% 200.00/160.34 |-Branch one:
% 200.00/160.34 | (3414) all_1033_1_9580 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.34 |
% 200.00/160.34 | Applying alpha-rule on (3414) yields:
% 200.00/160.34 | (3415) all_1033_1_9580 = 0
% 200.00/160.34 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.34 | (3117) all_777_0_5721 = 0
% 200.00/160.34 |
% 200.00/160.34 | Equations (3117) can reduce 3122 to:
% 200.00/160.34 | (62) $false
% 200.00/160.34 |
% 200.00/160.34 |-The branch is then unsatisfiable
% 200.00/160.34 |-Branch two:
% 200.00/160.34 | (3419) ~ (all_1033_0_9579 = 0) & greater_or_equal(all_1033_1_9580, all_33_1_35) = all_1033_0_9579 & end_time(all_33_4_38) = all_1033_1_9580
% 200.00/160.34 |
% 200.00/160.34 | Applying alpha-rule on (3419) yields:
% 200.00/160.34 | (3420) ~ (all_1033_0_9579 = 0)
% 200.00/160.34 | (3421) greater_or_equal(all_1033_1_9580, all_33_1_35) = all_1033_0_9579
% 200.00/160.34 | (3422) end_time(all_33_4_38) = all_1033_1_9580
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (43) with all_33_4_38, all_1033_1_9580, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_9580, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.34 | (3423) all_1033_1_9580 = all_33_1_35
% 200.00/160.34 |
% 200.00/160.34 | From (3423) and (3421) follows:
% 200.00/160.34 | (3424) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_9579
% 200.00/160.34 |
% 200.00/160.34 | Instantiating formula (34) with all_1033_0_9579, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_9579, yields:
% 200.00/160.34 | (3425) all_1033_0_9579 = 0
% 200.00/160.34 |
% 200.00/160.34 | Equations (3425) can reduce 3420 to:
% 200.00/160.34 | (62) $false
% 200.00/160.34 |
% 200.00/160.34 |-The branch is then unsatisfiable
% 200.00/160.34 |-Branch two:
% 200.00/160.34 | (3427) ~ (all_1033_1_9580 = 0) & environment(all_33_4_38) = all_1033_1_9580
% 200.00/160.34 |
% 200.00/160.34 | Applying alpha-rule on (3427) yields:
% 200.00/160.35 | (3428) ~ (all_1033_1_9580 = 0)
% 200.00/160.35 | (3429) environment(all_33_4_38) = all_1033_1_9580
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (35) with all_33_4_38, all_1033_1_9580, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_9580, environment(all_33_4_38) = 0, yields:
% 200.00/160.35 | (3415) all_1033_1_9580 = 0
% 200.00/160.35 |
% 200.00/160.35 | Equations (3415) can reduce 3428 to:
% 200.00/160.35 | (62) $false
% 200.00/160.35 |
% 200.00/160.35 |-The branch is then unsatisfiable
% 200.00/160.35 |-Branch two:
% 200.00/160.35 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (371) yields:
% 200.00/160.35 | (340) all_569_0_283 = 0
% 200.00/160.35 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.00/160.35 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.35 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 | From (343) and (342) follows:
% 200.00/160.35 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.35 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.35 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.35 |
% 200.00/160.35 | Instantiating (345) with all_1033_0_10123, all_1033_1_10124 yields:
% 200.00/160.35 | (3440) (all_1033_1_10124 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_10123 = 0) & greater_or_equal(all_1033_1_10124, all_33_1_35) = all_1033_0_10123 & end_time(all_33_4_38) = all_1033_1_10124) | ( ~ (all_1033_1_10124 = 0) & environment(all_33_4_38) = all_1033_1_10124)
% 200.00/160.35 |
% 200.00/160.35 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.35 |-Branch one:
% 200.00/160.35 | (3117) all_777_0_5721 = 0
% 200.00/160.35 |
% 200.00/160.35 | Equations (3117) can reduce 3122 to:
% 200.00/160.35 | (62) $false
% 200.00/160.35 |
% 200.00/160.35 |-The branch is then unsatisfiable
% 200.00/160.35 |-Branch two:
% 200.00/160.35 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.35 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.35 |
% 200.00/160.35 +-Applying beta-rule and splitting (3440), into two cases.
% 200.00/160.35 |-Branch one:
% 200.00/160.35 | (3445) (all_1033_1_10124 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_10123 = 0) & greater_or_equal(all_1033_1_10124, all_33_1_35) = all_1033_0_10123 & end_time(all_33_4_38) = all_1033_1_10124)
% 200.00/160.35 |
% 200.00/160.35 +-Applying beta-rule and splitting (3445), into two cases.
% 200.00/160.35 |-Branch one:
% 200.00/160.35 | (3446) all_1033_1_10124 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (3446) yields:
% 200.00/160.35 | (3447) all_1033_1_10124 = 0
% 200.00/160.35 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.35 | (3117) all_777_0_5721 = 0
% 200.00/160.35 |
% 200.00/160.35 | Equations (3117) can reduce 3122 to:
% 200.00/160.35 | (62) $false
% 200.00/160.35 |
% 200.00/160.35 |-The branch is then unsatisfiable
% 200.00/160.35 |-Branch two:
% 200.00/160.35 | (3451) ~ (all_1033_0_10123 = 0) & greater_or_equal(all_1033_1_10124, all_33_1_35) = all_1033_0_10123 & end_time(all_33_4_38) = all_1033_1_10124
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (3451) yields:
% 200.00/160.35 | (3452) ~ (all_1033_0_10123 = 0)
% 200.00/160.35 | (3453) greater_or_equal(all_1033_1_10124, all_33_1_35) = all_1033_0_10123
% 200.00/160.35 | (3454) end_time(all_33_4_38) = all_1033_1_10124
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (43) with all_33_4_38, all_1033_1_10124, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_10124, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.35 | (3455) all_1033_1_10124 = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 | From (3455) and (3453) follows:
% 200.00/160.35 | (3456) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_10123
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (34) with all_1033_0_10123, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_10123, yields:
% 200.00/160.35 | (3457) all_1033_0_10123 = 0
% 200.00/160.35 |
% 200.00/160.35 | Equations (3457) can reduce 3452 to:
% 200.00/160.35 | (62) $false
% 200.00/160.35 |
% 200.00/160.35 |-The branch is then unsatisfiable
% 200.00/160.35 |-Branch two:
% 200.00/160.35 | (3459) ~ (all_1033_1_10124 = 0) & environment(all_33_4_38) = all_1033_1_10124
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (3459) yields:
% 200.00/160.35 | (3460) ~ (all_1033_1_10124 = 0)
% 200.00/160.35 | (3461) environment(all_33_4_38) = all_1033_1_10124
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (35) with all_33_4_38, all_1033_1_10124, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_10124, environment(all_33_4_38) = 0, yields:
% 200.00/160.35 | (3447) all_1033_1_10124 = 0
% 200.00/160.35 |
% 200.00/160.35 | Equations (3447) can reduce 3460 to:
% 200.00/160.35 | (62) $false
% 200.00/160.35 |
% 200.00/160.35 |-The branch is then unsatisfiable
% 200.00/160.35 |-Branch two:
% 200.00/160.35 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (403) yields:
% 200.00/160.35 | (404) ~ (all_569_1_284 = 0)
% 200.00/160.35 | (405) environment(all_33_4_38) = all_569_1_284
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.00/160.35 | (406) all_569_1_284 = 0
% 200.00/160.35 |
% 200.00/160.35 | Equations (406) can reduce 404 to:
% 200.00/160.35 | (62) $false
% 200.00/160.35 |
% 200.00/160.35 |-The branch is then unsatisfiable
% 200.00/160.35 |-Branch two:
% 200.00/160.35 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (653) yields:
% 200.00/160.35 | (654) ~ (all_564_1_273 = 0)
% 200.00/160.35 | (655) environment(all_33_4_38) = all_564_1_273
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.00/160.35 | (656) all_564_1_273 = 0
% 200.00/160.35 |
% 200.00/160.35 | Equations (656) can reduce 654 to:
% 200.00/160.35 | (62) $false
% 200.00/160.35 |
% 200.00/160.35 |-The branch is then unsatisfiable
% 200.00/160.35 |-Branch two:
% 200.00/160.35 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (484) yields:
% 200.00/160.35 | (485) ~ (all_568_1_282 = 0)
% 200.00/160.35 | (486) environment(all_33_4_38) = all_568_1_282
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 200.00/160.35 | (487) all_568_1_282 = 0
% 200.00/160.35 |
% 200.00/160.35 | Equations (487) can reduce 485 to:
% 200.00/160.35 | (62) $false
% 200.00/160.35 |
% 200.00/160.35 |-The branch is then unsatisfiable
% 200.00/160.35 |-Branch two:
% 200.00/160.35 | (1700) all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (1700) yields:
% 200.00/160.35 | (305) all_554_0_249 = 0
% 200.00/160.35 | (1702) greater(all_114_2_98, all_554_1_250) = 0
% 200.00/160.35 | (307) end_time(all_33_4_38) = all_554_1_250
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (43) with all_33_4_38, all_554_1_250, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_554_1_250, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.35 | (308) all_554_1_250 = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 | From (308) and (307) follows:
% 200.00/160.35 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 +-Applying beta-rule and splitting (277), into two cases.
% 200.00/160.35 |-Branch one:
% 200.00/160.35 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 200.00/160.35 |
% 200.00/160.35 +-Applying beta-rule and splitting (331), into two cases.
% 200.00/160.35 |-Branch one:
% 200.00/160.35 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (332) yields:
% 200.00/160.35 | (333) all_568_0_281 = 0
% 200.00/160.35 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 200.00/160.35 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.35 | (336) all_568_1_282 = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 | From (336) and (335) follows:
% 200.00/160.35 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 +-Applying beta-rule and splitting (276), into two cases.
% 200.00/160.35 |-Branch one:
% 200.00/160.35 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.00/160.35 |
% 200.00/160.35 +-Applying beta-rule and splitting (324), into two cases.
% 200.00/160.35 |-Branch one:
% 200.00/160.35 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (325) yields:
% 200.00/160.35 | (326) all_564_0_272 = 0
% 200.00/160.35 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.00/160.35 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.35 | (329) all_564_1_273 = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 | From (329) and (328) follows:
% 200.00/160.35 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 +-Applying beta-rule and splitting (278), into two cases.
% 200.00/160.35 |-Branch one:
% 200.00/160.35 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.00/160.35 |
% 200.00/160.35 +-Applying beta-rule and splitting (338), into two cases.
% 200.00/160.35 |-Branch one:
% 200.00/160.35 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.35 |
% 200.00/160.35 | Applying alpha-rule on (339) yields:
% 200.00/160.35 | (340) all_569_0_283 = 0
% 200.00/160.35 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.00/160.35 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.35 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 | From (343) and (342) follows:
% 200.00/160.35 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.35 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.35 |
% 200.00/160.35 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.35 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.36 |
% 200.00/160.36 | Instantiating (345) with all_1033_0_10667, all_1033_1_10668 yields:
% 200.00/160.36 | (3508) (all_1033_1_10668 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_10667 = 0) & greater_or_equal(all_1033_1_10668, all_33_1_35) = all_1033_0_10667 & end_time(all_33_4_38) = all_1033_1_10668) | ( ~ (all_1033_1_10668 = 0) & environment(all_33_4_38) = all_1033_1_10668)
% 200.00/160.36 |
% 200.00/160.36 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.36 |-Branch one:
% 200.00/160.36 | (3117) all_777_0_5721 = 0
% 200.00/160.36 |
% 200.00/160.36 | Equations (3117) can reduce 3122 to:
% 200.00/160.36 | (62) $false
% 200.00/160.36 |
% 200.00/160.36 |-The branch is then unsatisfiable
% 200.00/160.36 |-Branch two:
% 200.00/160.36 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.36 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.36 |
% 200.00/160.36 +-Applying beta-rule and splitting (3508), into two cases.
% 200.00/160.36 |-Branch one:
% 200.00/160.36 | (3513) (all_1033_1_10668 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_10667 = 0) & greater_or_equal(all_1033_1_10668, all_33_1_35) = all_1033_0_10667 & end_time(all_33_4_38) = all_1033_1_10668)
% 200.00/160.36 |
% 200.00/160.36 +-Applying beta-rule and splitting (3513), into two cases.
% 200.00/160.36 |-Branch one:
% 200.00/160.36 | (3514) all_1033_1_10668 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.36 |
% 200.00/160.36 | Applying alpha-rule on (3514) yields:
% 200.00/160.36 | (3515) all_1033_1_10668 = 0
% 200.00/160.36 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.36 |
% 200.00/160.36 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.36 | (3117) all_777_0_5721 = 0
% 200.00/160.36 |
% 200.00/160.36 | Equations (3117) can reduce 3122 to:
% 200.00/160.36 | (62) $false
% 200.00/160.36 |
% 200.00/160.36 |-The branch is then unsatisfiable
% 200.00/160.36 |-Branch two:
% 200.00/160.36 | (3519) ~ (all_1033_0_10667 = 0) & greater_or_equal(all_1033_1_10668, all_33_1_35) = all_1033_0_10667 & end_time(all_33_4_38) = all_1033_1_10668
% 200.00/160.36 |
% 200.00/160.36 | Applying alpha-rule on (3519) yields:
% 200.00/160.36 | (3520) ~ (all_1033_0_10667 = 0)
% 200.00/160.36 | (3521) greater_or_equal(all_1033_1_10668, all_33_1_35) = all_1033_0_10667
% 200.00/160.36 | (3522) end_time(all_33_4_38) = all_1033_1_10668
% 200.00/160.36 |
% 200.00/160.36 | Instantiating formula (43) with all_33_4_38, all_1033_1_10668, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_10668, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.36 | (3523) all_1033_1_10668 = all_33_1_35
% 200.00/160.36 |
% 200.00/160.36 | From (3523) and (3521) follows:
% 200.00/160.36 | (3524) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_10667
% 200.00/160.36 |
% 200.00/160.36 | Instantiating formula (34) with all_1033_0_10667, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_10667, yields:
% 200.00/160.36 | (3525) all_1033_0_10667 = 0
% 200.00/160.36 |
% 200.00/160.36 | Equations (3525) can reduce 3520 to:
% 200.00/160.36 | (62) $false
% 200.00/160.36 |
% 200.00/160.36 |-The branch is then unsatisfiable
% 200.00/160.36 |-Branch two:
% 200.00/160.36 | (3527) ~ (all_1033_1_10668 = 0) & environment(all_33_4_38) = all_1033_1_10668
% 200.00/160.36 |
% 200.00/160.36 | Applying alpha-rule on (3527) yields:
% 200.00/160.36 | (3528) ~ (all_1033_1_10668 = 0)
% 200.00/160.36 | (3529) environment(all_33_4_38) = all_1033_1_10668
% 200.00/160.36 |
% 200.00/160.36 | Instantiating formula (35) with all_33_4_38, all_1033_1_10668, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_10668, environment(all_33_4_38) = 0, yields:
% 200.00/160.36 | (3515) all_1033_1_10668 = 0
% 200.00/160.36 |
% 200.00/160.36 | Equations (3515) can reduce 3528 to:
% 200.00/160.36 | (62) $false
% 200.00/160.36 |
% 200.00/160.36 |-The branch is then unsatisfiable
% 200.00/160.36 |-Branch two:
% 200.00/160.36 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.36 |
% 200.00/160.36 | Applying alpha-rule on (371) yields:
% 200.00/160.36 | (340) all_569_0_283 = 0
% 200.00/160.36 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.00/160.36 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.36 |
% 200.00/160.36 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.36 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.36 |
% 200.00/160.36 | From (343) and (342) follows:
% 200.00/160.36 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.36 |
% 200.00/160.36 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.36 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.36 |
% 200.00/160.36 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.36 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.36 |
% 200.00/160.36 | Instantiating (345) with all_1033_0_11211, all_1033_1_11212 yields:
% 200.00/160.36 | (3540) (all_1033_1_11212 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_11211 = 0) & greater_or_equal(all_1033_1_11212, all_33_1_35) = all_1033_0_11211 & end_time(all_33_4_38) = all_1033_1_11212) | ( ~ (all_1033_1_11212 = 0) & environment(all_33_4_38) = all_1033_1_11212)
% 200.00/160.36 |
% 200.00/160.36 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.36 |-Branch one:
% 200.00/160.36 | (3117) all_777_0_5721 = 0
% 200.00/160.36 |
% 200.00/160.36 | Equations (3117) can reduce 3122 to:
% 200.00/160.36 | (62) $false
% 200.00/160.36 |
% 200.00/160.36 |-The branch is then unsatisfiable
% 200.00/160.36 |-Branch two:
% 200.00/160.36 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.36 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.36 |
% 200.00/160.36 +-Applying beta-rule and splitting (3540), into two cases.
% 200.00/160.36 |-Branch one:
% 200.00/160.36 | (3545) (all_1033_1_11212 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_11211 = 0) & greater_or_equal(all_1033_1_11212, all_33_1_35) = all_1033_0_11211 & end_time(all_33_4_38) = all_1033_1_11212)
% 200.00/160.36 |
% 200.00/160.36 +-Applying beta-rule and splitting (3545), into two cases.
% 200.00/160.36 |-Branch one:
% 200.00/160.36 | (3546) all_1033_1_11212 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.36 |
% 200.00/160.36 | Applying alpha-rule on (3546) yields:
% 200.00/160.36 | (3547) all_1033_1_11212 = 0
% 200.00/160.36 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.36 |
% 200.00/160.36 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.36 | (3117) all_777_0_5721 = 0
% 200.00/160.36 |
% 200.00/160.36 | Equations (3117) can reduce 3122 to:
% 200.00/160.36 | (62) $false
% 200.00/160.36 |
% 200.00/160.36 |-The branch is then unsatisfiable
% 200.00/160.36 |-Branch two:
% 200.00/160.36 | (3551) ~ (all_1033_0_11211 = 0) & greater_or_equal(all_1033_1_11212, all_33_1_35) = all_1033_0_11211 & end_time(all_33_4_38) = all_1033_1_11212
% 200.00/160.36 |
% 200.00/160.36 | Applying alpha-rule on (3551) yields:
% 200.00/160.36 | (3552) ~ (all_1033_0_11211 = 0)
% 200.00/160.36 | (3553) greater_or_equal(all_1033_1_11212, all_33_1_35) = all_1033_0_11211
% 200.00/160.36 | (3554) end_time(all_33_4_38) = all_1033_1_11212
% 200.00/160.36 |
% 200.00/160.36 | Instantiating formula (43) with all_33_4_38, all_1033_1_11212, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_11212, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.36 | (3555) all_1033_1_11212 = all_33_1_35
% 200.00/160.36 |
% 200.00/160.36 | From (3555) and (3553) follows:
% 200.00/160.36 | (3556) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_11211
% 200.00/160.36 |
% 200.00/160.36 | Instantiating formula (34) with all_1033_0_11211, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_11211, yields:
% 200.00/160.36 | (3557) all_1033_0_11211 = 0
% 200.00/160.36 |
% 200.00/160.36 | Equations (3557) can reduce 3552 to:
% 200.00/160.36 | (62) $false
% 200.00/160.36 |
% 200.00/160.36 |-The branch is then unsatisfiable
% 200.00/160.36 |-Branch two:
% 200.00/160.36 | (3559) ~ (all_1033_1_11212 = 0) & environment(all_33_4_38) = all_1033_1_11212
% 200.00/160.36 |
% 200.00/160.37 | Applying alpha-rule on (3559) yields:
% 200.00/160.37 | (3560) ~ (all_1033_1_11212 = 0)
% 200.00/160.37 | (3561) environment(all_33_4_38) = all_1033_1_11212
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (35) with all_33_4_38, all_1033_1_11212, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_11212, environment(all_33_4_38) = 0, yields:
% 200.00/160.37 | (3547) all_1033_1_11212 = 0
% 200.00/160.37 |
% 200.00/160.37 | Equations (3547) can reduce 3560 to:
% 200.00/160.37 | (62) $false
% 200.00/160.37 |
% 200.00/160.37 |-The branch is then unsatisfiable
% 200.00/160.37 |-Branch two:
% 200.00/160.37 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.00/160.37 |
% 200.00/160.37 | Applying alpha-rule on (403) yields:
% 200.00/160.37 | (404) ~ (all_569_1_284 = 0)
% 200.00/160.37 | (405) environment(all_33_4_38) = all_569_1_284
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.00/160.37 | (406) all_569_1_284 = 0
% 200.00/160.37 |
% 200.00/160.37 | Equations (406) can reduce 404 to:
% 200.00/160.37 | (62) $false
% 200.00/160.37 |
% 200.00/160.37 |-The branch is then unsatisfiable
% 200.00/160.37 |-Branch two:
% 200.00/160.37 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.00/160.37 |
% 200.00/160.37 | Applying alpha-rule on (489) yields:
% 200.00/160.37 | (326) all_564_0_272 = 0
% 200.00/160.37 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 200.00/160.37 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.37 | (329) all_564_1_273 = all_33_1_35
% 200.00/160.37 |
% 200.00/160.37 | From (329) and (328) follows:
% 200.00/160.37 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.37 |
% 200.00/160.37 +-Applying beta-rule and splitting (278), into two cases.
% 200.00/160.37 |-Branch one:
% 200.00/160.37 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.00/160.37 |
% 200.00/160.37 +-Applying beta-rule and splitting (338), into two cases.
% 200.00/160.37 |-Branch one:
% 200.00/160.37 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.37 |
% 200.00/160.37 | Applying alpha-rule on (339) yields:
% 200.00/160.37 | (340) all_569_0_283 = 0
% 200.00/160.37 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.00/160.37 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.37 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.37 |
% 200.00/160.37 | From (343) and (342) follows:
% 200.00/160.37 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.37 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.37 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.37 |
% 200.00/160.37 | Instantiating (345) with all_1033_0_11755, all_1033_1_11756 yields:
% 200.00/160.37 | (3584) (all_1033_1_11756 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_11755 = 0) & greater_or_equal(all_1033_1_11756, all_33_1_35) = all_1033_0_11755 & end_time(all_33_4_38) = all_1033_1_11756) | ( ~ (all_1033_1_11756 = 0) & environment(all_33_4_38) = all_1033_1_11756)
% 200.00/160.37 |
% 200.00/160.37 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.37 |-Branch one:
% 200.00/160.37 | (3117) all_777_0_5721 = 0
% 200.00/160.37 |
% 200.00/160.37 | Equations (3117) can reduce 3122 to:
% 200.00/160.37 | (62) $false
% 200.00/160.37 |
% 200.00/160.37 |-The branch is then unsatisfiable
% 200.00/160.37 |-Branch two:
% 200.00/160.37 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.37 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.37 |
% 200.00/160.37 +-Applying beta-rule and splitting (3584), into two cases.
% 200.00/160.37 |-Branch one:
% 200.00/160.37 | (3589) (all_1033_1_11756 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_11755 = 0) & greater_or_equal(all_1033_1_11756, all_33_1_35) = all_1033_0_11755 & end_time(all_33_4_38) = all_1033_1_11756)
% 200.00/160.37 |
% 200.00/160.37 +-Applying beta-rule and splitting (3589), into two cases.
% 200.00/160.37 |-Branch one:
% 200.00/160.37 | (3590) all_1033_1_11756 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.37 |
% 200.00/160.37 | Applying alpha-rule on (3590) yields:
% 200.00/160.37 | (3591) all_1033_1_11756 = 0
% 200.00/160.37 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.37 | (3117) all_777_0_5721 = 0
% 200.00/160.37 |
% 200.00/160.37 | Equations (3117) can reduce 3122 to:
% 200.00/160.37 | (62) $false
% 200.00/160.37 |
% 200.00/160.37 |-The branch is then unsatisfiable
% 200.00/160.37 |-Branch two:
% 200.00/160.37 | (3595) ~ (all_1033_0_11755 = 0) & greater_or_equal(all_1033_1_11756, all_33_1_35) = all_1033_0_11755 & end_time(all_33_4_38) = all_1033_1_11756
% 200.00/160.37 |
% 200.00/160.37 | Applying alpha-rule on (3595) yields:
% 200.00/160.37 | (3596) ~ (all_1033_0_11755 = 0)
% 200.00/160.37 | (3597) greater_or_equal(all_1033_1_11756, all_33_1_35) = all_1033_0_11755
% 200.00/160.37 | (3598) end_time(all_33_4_38) = all_1033_1_11756
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (43) with all_33_4_38, all_1033_1_11756, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_11756, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.37 | (3599) all_1033_1_11756 = all_33_1_35
% 200.00/160.37 |
% 200.00/160.37 | From (3599) and (3597) follows:
% 200.00/160.37 | (3600) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_11755
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (34) with all_1033_0_11755, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_11755, yields:
% 200.00/160.37 | (3601) all_1033_0_11755 = 0
% 200.00/160.37 |
% 200.00/160.37 | Equations (3601) can reduce 3596 to:
% 200.00/160.37 | (62) $false
% 200.00/160.37 |
% 200.00/160.37 |-The branch is then unsatisfiable
% 200.00/160.37 |-Branch two:
% 200.00/160.37 | (3603) ~ (all_1033_1_11756 = 0) & environment(all_33_4_38) = all_1033_1_11756
% 200.00/160.37 |
% 200.00/160.37 | Applying alpha-rule on (3603) yields:
% 200.00/160.37 | (3604) ~ (all_1033_1_11756 = 0)
% 200.00/160.37 | (3605) environment(all_33_4_38) = all_1033_1_11756
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (35) with all_33_4_38, all_1033_1_11756, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_11756, environment(all_33_4_38) = 0, yields:
% 200.00/160.37 | (3591) all_1033_1_11756 = 0
% 200.00/160.37 |
% 200.00/160.37 | Equations (3591) can reduce 3604 to:
% 200.00/160.37 | (62) $false
% 200.00/160.37 |
% 200.00/160.37 |-The branch is then unsatisfiable
% 200.00/160.37 |-Branch two:
% 200.00/160.37 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.37 |
% 200.00/160.37 | Applying alpha-rule on (371) yields:
% 200.00/160.37 | (340) all_569_0_283 = 0
% 200.00/160.37 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.00/160.37 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.37 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.37 |
% 200.00/160.37 | From (343) and (342) follows:
% 200.00/160.37 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.37 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.37 |
% 200.00/160.37 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.37 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.37 |
% 200.00/160.37 | Instantiating (345) with all_1033_0_12299, all_1033_1_12300 yields:
% 200.00/160.37 | (3616) (all_1033_1_12300 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_12299 = 0) & greater_or_equal(all_1033_1_12300, all_33_1_35) = all_1033_0_12299 & end_time(all_33_4_38) = all_1033_1_12300) | ( ~ (all_1033_1_12300 = 0) & environment(all_33_4_38) = all_1033_1_12300)
% 200.00/160.37 |
% 200.00/160.37 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.37 |-Branch one:
% 200.00/160.37 | (3117) all_777_0_5721 = 0
% 200.00/160.37 |
% 200.00/160.37 | Equations (3117) can reduce 3122 to:
% 200.00/160.37 | (62) $false
% 200.00/160.37 |
% 200.00/160.37 |-The branch is then unsatisfiable
% 200.00/160.37 |-Branch two:
% 200.00/160.37 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.37 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.37 |
% 200.00/160.37 +-Applying beta-rule and splitting (3616), into two cases.
% 200.00/160.37 |-Branch one:
% 200.00/160.37 | (3621) (all_1033_1_12300 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_12299 = 0) & greater_or_equal(all_1033_1_12300, all_33_1_35) = all_1033_0_12299 & end_time(all_33_4_38) = all_1033_1_12300)
% 200.00/160.37 |
% 200.00/160.37 +-Applying beta-rule and splitting (3621), into two cases.
% 200.00/160.37 |-Branch one:
% 200.00/160.38 | (3622) all_1033_1_12300 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.38 |
% 200.00/160.38 | Applying alpha-rule on (3622) yields:
% 200.00/160.38 | (3623) all_1033_1_12300 = 0
% 200.00/160.38 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.38 | (3117) all_777_0_5721 = 0
% 200.00/160.38 |
% 200.00/160.38 | Equations (3117) can reduce 3122 to:
% 200.00/160.38 | (62) $false
% 200.00/160.38 |
% 200.00/160.38 |-The branch is then unsatisfiable
% 200.00/160.38 |-Branch two:
% 200.00/160.38 | (3627) ~ (all_1033_0_12299 = 0) & greater_or_equal(all_1033_1_12300, all_33_1_35) = all_1033_0_12299 & end_time(all_33_4_38) = all_1033_1_12300
% 200.00/160.38 |
% 200.00/160.38 | Applying alpha-rule on (3627) yields:
% 200.00/160.38 | (3628) ~ (all_1033_0_12299 = 0)
% 200.00/160.38 | (3629) greater_or_equal(all_1033_1_12300, all_33_1_35) = all_1033_0_12299
% 200.00/160.38 | (3630) end_time(all_33_4_38) = all_1033_1_12300
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (43) with all_33_4_38, all_1033_1_12300, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_12300, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.38 | (3631) all_1033_1_12300 = all_33_1_35
% 200.00/160.38 |
% 200.00/160.38 | From (3631) and (3629) follows:
% 200.00/160.38 | (3632) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_12299
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (34) with all_1033_0_12299, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_12299, yields:
% 200.00/160.38 | (3633) all_1033_0_12299 = 0
% 200.00/160.38 |
% 200.00/160.38 | Equations (3633) can reduce 3628 to:
% 200.00/160.38 | (62) $false
% 200.00/160.38 |
% 200.00/160.38 |-The branch is then unsatisfiable
% 200.00/160.38 |-Branch two:
% 200.00/160.38 | (3635) ~ (all_1033_1_12300 = 0) & environment(all_33_4_38) = all_1033_1_12300
% 200.00/160.38 |
% 200.00/160.38 | Applying alpha-rule on (3635) yields:
% 200.00/160.38 | (3636) ~ (all_1033_1_12300 = 0)
% 200.00/160.38 | (3637) environment(all_33_4_38) = all_1033_1_12300
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (35) with all_33_4_38, all_1033_1_12300, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_12300, environment(all_33_4_38) = 0, yields:
% 200.00/160.38 | (3623) all_1033_1_12300 = 0
% 200.00/160.38 |
% 200.00/160.38 | Equations (3623) can reduce 3636 to:
% 200.00/160.38 | (62) $false
% 200.00/160.38 |
% 200.00/160.38 |-The branch is then unsatisfiable
% 200.00/160.38 |-Branch two:
% 200.00/160.38 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.00/160.38 |
% 200.00/160.38 | Applying alpha-rule on (403) yields:
% 200.00/160.38 | (404) ~ (all_569_1_284 = 0)
% 200.00/160.38 | (405) environment(all_33_4_38) = all_569_1_284
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.00/160.38 | (406) all_569_1_284 = 0
% 200.00/160.38 |
% 200.00/160.38 | Equations (406) can reduce 404 to:
% 200.00/160.38 | (62) $false
% 200.00/160.38 |
% 200.00/160.38 |-The branch is then unsatisfiable
% 200.00/160.38 |-Branch two:
% 200.00/160.38 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.00/160.38 |
% 200.00/160.38 | Applying alpha-rule on (653) yields:
% 200.00/160.38 | (654) ~ (all_564_1_273 = 0)
% 200.00/160.38 | (655) environment(all_33_4_38) = all_564_1_273
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.00/160.38 | (656) all_564_1_273 = 0
% 200.00/160.38 |
% 200.00/160.38 | Equations (656) can reduce 654 to:
% 200.00/160.38 | (62) $false
% 200.00/160.38 |
% 200.00/160.38 |-The branch is then unsatisfiable
% 200.00/160.38 |-Branch two:
% 200.00/160.38 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.00/160.38 |
% 200.00/160.38 | Applying alpha-rule on (408) yields:
% 200.00/160.38 | (333) all_568_0_281 = 0
% 200.00/160.38 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 200.00/160.38 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.38 | (336) all_568_1_282 = all_33_1_35
% 200.00/160.38 |
% 200.00/160.38 | From (336) and (335) follows:
% 200.00/160.38 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.38 |
% 200.00/160.38 +-Applying beta-rule and splitting (276), into two cases.
% 200.00/160.38 |-Branch one:
% 200.00/160.38 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.00/160.38 |
% 200.00/160.38 +-Applying beta-rule and splitting (324), into two cases.
% 200.00/160.38 |-Branch one:
% 200.00/160.38 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.00/160.38 |
% 200.00/160.38 | Applying alpha-rule on (325) yields:
% 200.00/160.38 | (326) all_564_0_272 = 0
% 200.00/160.38 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.00/160.38 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.38 | (329) all_564_1_273 = all_33_1_35
% 200.00/160.38 |
% 200.00/160.38 | From (329) and (328) follows:
% 200.00/160.38 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.38 |
% 200.00/160.38 +-Applying beta-rule and splitting (278), into two cases.
% 200.00/160.38 |-Branch one:
% 200.00/160.38 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.00/160.38 |
% 200.00/160.38 +-Applying beta-rule and splitting (338), into two cases.
% 200.00/160.38 |-Branch one:
% 200.00/160.38 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.38 |
% 200.00/160.38 | Applying alpha-rule on (339) yields:
% 200.00/160.38 | (340) all_569_0_283 = 0
% 200.00/160.38 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.00/160.38 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.38 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.38 |
% 200.00/160.38 | From (343) and (342) follows:
% 200.00/160.38 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.38 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.38 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.38 |
% 200.00/160.38 | Instantiating (345) with all_1033_0_12843, all_1033_1_12844 yields:
% 200.00/160.38 | (3672) (all_1033_1_12844 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_12843 = 0) & greater_or_equal(all_1033_1_12844, all_33_1_35) = all_1033_0_12843 & end_time(all_33_4_38) = all_1033_1_12844) | ( ~ (all_1033_1_12844 = 0) & environment(all_33_4_38) = all_1033_1_12844)
% 200.00/160.38 |
% 200.00/160.38 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.38 |-Branch one:
% 200.00/160.38 | (3117) all_777_0_5721 = 0
% 200.00/160.38 |
% 200.00/160.38 | Equations (3117) can reduce 3122 to:
% 200.00/160.38 | (62) $false
% 200.00/160.38 |
% 200.00/160.38 |-The branch is then unsatisfiable
% 200.00/160.38 |-Branch two:
% 200.00/160.38 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.38 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.38 |
% 200.00/160.38 +-Applying beta-rule and splitting (3672), into two cases.
% 200.00/160.38 |-Branch one:
% 200.00/160.38 | (3677) (all_1033_1_12844 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_12843 = 0) & greater_or_equal(all_1033_1_12844, all_33_1_35) = all_1033_0_12843 & end_time(all_33_4_38) = all_1033_1_12844)
% 200.00/160.38 |
% 200.00/160.38 +-Applying beta-rule and splitting (3677), into two cases.
% 200.00/160.38 |-Branch one:
% 200.00/160.38 | (3678) all_1033_1_12844 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.38 |
% 200.00/160.38 | Applying alpha-rule on (3678) yields:
% 200.00/160.38 | (3679) all_1033_1_12844 = 0
% 200.00/160.38 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.38 | (3117) all_777_0_5721 = 0
% 200.00/160.38 |
% 200.00/160.38 | Equations (3117) can reduce 3122 to:
% 200.00/160.38 | (62) $false
% 200.00/160.38 |
% 200.00/160.38 |-The branch is then unsatisfiable
% 200.00/160.38 |-Branch two:
% 200.00/160.38 | (3683) ~ (all_1033_0_12843 = 0) & greater_or_equal(all_1033_1_12844, all_33_1_35) = all_1033_0_12843 & end_time(all_33_4_38) = all_1033_1_12844
% 200.00/160.38 |
% 200.00/160.38 | Applying alpha-rule on (3683) yields:
% 200.00/160.38 | (3684) ~ (all_1033_0_12843 = 0)
% 200.00/160.38 | (3685) greater_or_equal(all_1033_1_12844, all_33_1_35) = all_1033_0_12843
% 200.00/160.38 | (3686) end_time(all_33_4_38) = all_1033_1_12844
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (43) with all_33_4_38, all_1033_1_12844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_12844, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.38 | (3687) all_1033_1_12844 = all_33_1_35
% 200.00/160.38 |
% 200.00/160.38 | From (3687) and (3685) follows:
% 200.00/160.38 | (3688) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_12843
% 200.00/160.38 |
% 200.00/160.38 | Instantiating formula (34) with all_1033_0_12843, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_12843, yields:
% 200.00/160.38 | (3689) all_1033_0_12843 = 0
% 200.00/160.38 |
% 200.00/160.39 | Equations (3689) can reduce 3684 to:
% 200.00/160.39 | (62) $false
% 200.00/160.39 |
% 200.00/160.39 |-The branch is then unsatisfiable
% 200.00/160.39 |-Branch two:
% 200.00/160.39 | (3691) ~ (all_1033_1_12844 = 0) & environment(all_33_4_38) = all_1033_1_12844
% 200.00/160.39 |
% 200.00/160.39 | Applying alpha-rule on (3691) yields:
% 200.00/160.39 | (3692) ~ (all_1033_1_12844 = 0)
% 200.00/160.39 | (3693) environment(all_33_4_38) = all_1033_1_12844
% 200.00/160.39 |
% 200.00/160.39 | Instantiating formula (35) with all_33_4_38, all_1033_1_12844, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_12844, environment(all_33_4_38) = 0, yields:
% 200.00/160.39 | (3679) all_1033_1_12844 = 0
% 200.00/160.39 |
% 200.00/160.39 | Equations (3679) can reduce 3692 to:
% 200.00/160.39 | (62) $false
% 200.00/160.39 |
% 200.00/160.39 |-The branch is then unsatisfiable
% 200.00/160.39 |-Branch two:
% 200.00/160.39 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.39 |
% 200.00/160.39 | Applying alpha-rule on (371) yields:
% 200.00/160.39 | (340) all_569_0_283 = 0
% 200.00/160.39 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.00/160.39 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.39 |
% 200.00/160.39 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.39 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.39 |
% 200.00/160.39 | From (343) and (342) follows:
% 200.00/160.39 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.39 |
% 200.00/160.39 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.39 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.39 |
% 200.00/160.39 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.39 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.39 |
% 200.00/160.39 | Instantiating (345) with all_1033_0_13387, all_1033_1_13388 yields:
% 200.00/160.39 | (3704) (all_1033_1_13388 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_13387 = 0) & greater_or_equal(all_1033_1_13388, all_33_1_35) = all_1033_0_13387 & end_time(all_33_4_38) = all_1033_1_13388) | ( ~ (all_1033_1_13388 = 0) & environment(all_33_4_38) = all_1033_1_13388)
% 200.00/160.39 |
% 200.00/160.39 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.39 |-Branch one:
% 200.00/160.39 | (3117) all_777_0_5721 = 0
% 200.00/160.39 |
% 200.00/160.39 | Equations (3117) can reduce 3122 to:
% 200.00/160.39 | (62) $false
% 200.00/160.39 |
% 200.00/160.39 |-The branch is then unsatisfiable
% 200.00/160.39 |-Branch two:
% 200.00/160.39 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.39 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.39 |
% 200.00/160.39 +-Applying beta-rule and splitting (3704), into two cases.
% 200.00/160.39 |-Branch one:
% 200.00/160.39 | (3709) (all_1033_1_13388 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_13387 = 0) & greater_or_equal(all_1033_1_13388, all_33_1_35) = all_1033_0_13387 & end_time(all_33_4_38) = all_1033_1_13388)
% 200.00/160.39 |
% 200.00/160.39 +-Applying beta-rule and splitting (3709), into two cases.
% 200.00/160.39 |-Branch one:
% 200.00/160.39 | (3710) all_1033_1_13388 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.39 |
% 200.00/160.39 | Applying alpha-rule on (3710) yields:
% 200.00/160.39 | (3711) all_1033_1_13388 = 0
% 200.00/160.39 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.39 |
% 200.00/160.39 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.39 | (3117) all_777_0_5721 = 0
% 200.00/160.39 |
% 200.00/160.39 | Equations (3117) can reduce 3122 to:
% 200.00/160.39 | (62) $false
% 200.00/160.39 |
% 200.00/160.39 |-The branch is then unsatisfiable
% 200.00/160.39 |-Branch two:
% 200.00/160.39 | (3715) ~ (all_1033_0_13387 = 0) & greater_or_equal(all_1033_1_13388, all_33_1_35) = all_1033_0_13387 & end_time(all_33_4_38) = all_1033_1_13388
% 200.00/160.39 |
% 200.00/160.39 | Applying alpha-rule on (3715) yields:
% 200.00/160.39 | (3716) ~ (all_1033_0_13387 = 0)
% 200.00/160.39 | (3717) greater_or_equal(all_1033_1_13388, all_33_1_35) = all_1033_0_13387
% 200.00/160.39 | (3718) end_time(all_33_4_38) = all_1033_1_13388
% 200.00/160.39 |
% 200.00/160.39 | Instantiating formula (43) with all_33_4_38, all_1033_1_13388, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_13388, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.39 | (3719) all_1033_1_13388 = all_33_1_35
% 200.00/160.39 |
% 200.00/160.39 | From (3719) and (3717) follows:
% 200.00/160.39 | (3720) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_13387
% 200.00/160.39 |
% 200.00/160.39 | Instantiating formula (34) with all_1033_0_13387, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_13387, yields:
% 200.00/160.39 | (3721) all_1033_0_13387 = 0
% 200.00/160.39 |
% 200.00/160.39 | Equations (3721) can reduce 3716 to:
% 200.00/160.39 | (62) $false
% 200.00/160.39 |
% 200.00/160.39 |-The branch is then unsatisfiable
% 200.00/160.39 |-Branch two:
% 200.00/160.39 | (3723) ~ (all_1033_1_13388 = 0) & environment(all_33_4_38) = all_1033_1_13388
% 200.00/160.39 |
% 200.00/160.39 | Applying alpha-rule on (3723) yields:
% 200.00/160.39 | (3724) ~ (all_1033_1_13388 = 0)
% 200.00/160.39 | (3725) environment(all_33_4_38) = all_1033_1_13388
% 200.00/160.39 |
% 200.00/160.39 | Instantiating formula (35) with all_33_4_38, all_1033_1_13388, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_13388, environment(all_33_4_38) = 0, yields:
% 200.00/160.40 | (3711) all_1033_1_13388 = 0
% 200.00/160.40 |
% 200.00/160.40 | Equations (3711) can reduce 3724 to:
% 200.00/160.40 | (62) $false
% 200.00/160.40 |
% 200.00/160.40 |-The branch is then unsatisfiable
% 200.00/160.40 |-Branch two:
% 200.00/160.40 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.00/160.40 |
% 200.00/160.40 | Applying alpha-rule on (403) yields:
% 200.00/160.40 | (404) ~ (all_569_1_284 = 0)
% 200.00/160.40 | (405) environment(all_33_4_38) = all_569_1_284
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.00/160.40 | (406) all_569_1_284 = 0
% 200.00/160.40 |
% 200.00/160.40 | Equations (406) can reduce 404 to:
% 200.00/160.40 | (62) $false
% 200.00/160.40 |
% 200.00/160.40 |-The branch is then unsatisfiable
% 200.00/160.40 |-Branch two:
% 200.00/160.40 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.00/160.40 |
% 200.00/160.40 | Applying alpha-rule on (489) yields:
% 200.00/160.40 | (326) all_564_0_272 = 0
% 200.00/160.40 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 200.00/160.40 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.40 | (329) all_564_1_273 = all_33_1_35
% 200.00/160.40 |
% 200.00/160.40 | From (329) and (328) follows:
% 200.00/160.40 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.40 |
% 200.00/160.40 +-Applying beta-rule and splitting (278), into two cases.
% 200.00/160.40 |-Branch one:
% 200.00/160.40 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.00/160.40 |
% 200.00/160.40 +-Applying beta-rule and splitting (338), into two cases.
% 200.00/160.40 |-Branch one:
% 200.00/160.40 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.40 |
% 200.00/160.40 | Applying alpha-rule on (339) yields:
% 200.00/160.40 | (340) all_569_0_283 = 0
% 200.00/160.40 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.00/160.40 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.40 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.40 |
% 200.00/160.40 | From (343) and (342) follows:
% 200.00/160.40 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.40 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.40 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.40 |
% 200.00/160.40 | Instantiating (345) with all_1033_0_13931, all_1033_1_13932 yields:
% 200.00/160.40 | (3748) (all_1033_1_13932 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_13931 = 0) & greater_or_equal(all_1033_1_13932, all_33_1_35) = all_1033_0_13931 & end_time(all_33_4_38) = all_1033_1_13932) | ( ~ (all_1033_1_13932 = 0) & environment(all_33_4_38) = all_1033_1_13932)
% 200.00/160.40 |
% 200.00/160.40 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.40 |-Branch one:
% 200.00/160.40 | (3117) all_777_0_5721 = 0
% 200.00/160.40 |
% 200.00/160.40 | Equations (3117) can reduce 3122 to:
% 200.00/160.40 | (62) $false
% 200.00/160.40 |
% 200.00/160.40 |-The branch is then unsatisfiable
% 200.00/160.40 |-Branch two:
% 200.00/160.40 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.40 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.40 |
% 200.00/160.40 +-Applying beta-rule and splitting (3748), into two cases.
% 200.00/160.40 |-Branch one:
% 200.00/160.40 | (3753) (all_1033_1_13932 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_13931 = 0) & greater_or_equal(all_1033_1_13932, all_33_1_35) = all_1033_0_13931 & end_time(all_33_4_38) = all_1033_1_13932)
% 200.00/160.40 |
% 200.00/160.40 +-Applying beta-rule and splitting (3753), into two cases.
% 200.00/160.40 |-Branch one:
% 200.00/160.40 | (3754) all_1033_1_13932 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.40 |
% 200.00/160.40 | Applying alpha-rule on (3754) yields:
% 200.00/160.40 | (3755) all_1033_1_13932 = 0
% 200.00/160.40 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.40 | (3117) all_777_0_5721 = 0
% 200.00/160.40 |
% 200.00/160.40 | Equations (3117) can reduce 3122 to:
% 200.00/160.40 | (62) $false
% 200.00/160.40 |
% 200.00/160.40 |-The branch is then unsatisfiable
% 200.00/160.40 |-Branch two:
% 200.00/160.40 | (3759) ~ (all_1033_0_13931 = 0) & greater_or_equal(all_1033_1_13932, all_33_1_35) = all_1033_0_13931 & end_time(all_33_4_38) = all_1033_1_13932
% 200.00/160.40 |
% 200.00/160.40 | Applying alpha-rule on (3759) yields:
% 200.00/160.40 | (3760) ~ (all_1033_0_13931 = 0)
% 200.00/160.40 | (3761) greater_or_equal(all_1033_1_13932, all_33_1_35) = all_1033_0_13931
% 200.00/160.40 | (3762) end_time(all_33_4_38) = all_1033_1_13932
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (43) with all_33_4_38, all_1033_1_13932, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_13932, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.40 | (3763) all_1033_1_13932 = all_33_1_35
% 200.00/160.40 |
% 200.00/160.40 | From (3763) and (3761) follows:
% 200.00/160.40 | (3764) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_13931
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (34) with all_1033_0_13931, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_13931, yields:
% 200.00/160.40 | (3765) all_1033_0_13931 = 0
% 200.00/160.40 |
% 200.00/160.40 | Equations (3765) can reduce 3760 to:
% 200.00/160.40 | (62) $false
% 200.00/160.40 |
% 200.00/160.40 |-The branch is then unsatisfiable
% 200.00/160.40 |-Branch two:
% 200.00/160.40 | (3767) ~ (all_1033_1_13932 = 0) & environment(all_33_4_38) = all_1033_1_13932
% 200.00/160.40 |
% 200.00/160.40 | Applying alpha-rule on (3767) yields:
% 200.00/160.40 | (3768) ~ (all_1033_1_13932 = 0)
% 200.00/160.40 | (3769) environment(all_33_4_38) = all_1033_1_13932
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (35) with all_33_4_38, all_1033_1_13932, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_13932, environment(all_33_4_38) = 0, yields:
% 200.00/160.40 | (3755) all_1033_1_13932 = 0
% 200.00/160.40 |
% 200.00/160.40 | Equations (3755) can reduce 3768 to:
% 200.00/160.40 | (62) $false
% 200.00/160.40 |
% 200.00/160.40 |-The branch is then unsatisfiable
% 200.00/160.40 |-Branch two:
% 200.00/160.40 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.00/160.40 |
% 200.00/160.40 | Applying alpha-rule on (371) yields:
% 200.00/160.40 | (340) all_569_0_283 = 0
% 200.00/160.40 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.00/160.40 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.40 | (343) all_569_1_284 = all_33_1_35
% 200.00/160.40 |
% 200.00/160.40 | From (343) and (342) follows:
% 200.00/160.40 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.00/160.40 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.00/160.40 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.40 |
% 200.00/160.40 | Instantiating (345) with all_1033_0_14475, all_1033_1_14476 yields:
% 200.00/160.40 | (3780) (all_1033_1_14476 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_14475 = 0) & greater_or_equal(all_1033_1_14476, all_33_1_35) = all_1033_0_14475 & end_time(all_33_4_38) = all_1033_1_14476) | ( ~ (all_1033_1_14476 = 0) & environment(all_33_4_38) = all_1033_1_14476)
% 200.00/160.40 |
% 200.00/160.40 +-Applying beta-rule and splitting (3167), into two cases.
% 200.00/160.40 |-Branch one:
% 200.00/160.40 | (3117) all_777_0_5721 = 0
% 200.00/160.40 |
% 200.00/160.40 | Equations (3117) can reduce 3122 to:
% 200.00/160.40 | (62) $false
% 200.00/160.40 |
% 200.00/160.40 |-The branch is then unsatisfiable
% 200.00/160.40 |-Branch two:
% 200.00/160.40 | (3122) ~ (all_777_0_5721 = 0)
% 200.00/160.40 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.00/160.40 |
% 200.00/160.40 +-Applying beta-rule and splitting (3780), into two cases.
% 200.00/160.40 |-Branch one:
% 200.00/160.40 | (3785) (all_1033_1_14476 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_14475 = 0) & greater_or_equal(all_1033_1_14476, all_33_1_35) = all_1033_0_14475 & end_time(all_33_4_38) = all_1033_1_14476)
% 200.00/160.40 |
% 200.00/160.40 +-Applying beta-rule and splitting (3785), into two cases.
% 200.00/160.40 |-Branch one:
% 200.00/160.40 | (3786) all_1033_1_14476 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.40 |
% 200.00/160.40 | Applying alpha-rule on (3786) yields:
% 200.00/160.40 | (3787) all_1033_1_14476 = 0
% 200.00/160.40 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.00/160.40 | (3117) all_777_0_5721 = 0
% 200.00/160.40 |
% 200.00/160.40 | Equations (3117) can reduce 3122 to:
% 200.00/160.40 | (62) $false
% 200.00/160.40 |
% 200.00/160.40 |-The branch is then unsatisfiable
% 200.00/160.40 |-Branch two:
% 200.00/160.40 | (3791) ~ (all_1033_0_14475 = 0) & greater_or_equal(all_1033_1_14476, all_33_1_35) = all_1033_0_14475 & end_time(all_33_4_38) = all_1033_1_14476
% 200.00/160.40 |
% 200.00/160.40 | Applying alpha-rule on (3791) yields:
% 200.00/160.40 | (3792) ~ (all_1033_0_14475 = 0)
% 200.00/160.40 | (3793) greater_or_equal(all_1033_1_14476, all_33_1_35) = all_1033_0_14475
% 200.00/160.40 | (3794) end_time(all_33_4_38) = all_1033_1_14476
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (43) with all_33_4_38, all_1033_1_14476, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_14476, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.00/160.40 | (3795) all_1033_1_14476 = all_33_1_35
% 200.00/160.40 |
% 200.00/160.40 | From (3795) and (3793) follows:
% 200.00/160.40 | (3796) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_14475
% 200.00/160.40 |
% 200.00/160.40 | Instantiating formula (34) with all_1033_0_14475, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_14475, yields:
% 200.00/160.40 | (3797) all_1033_0_14475 = 0
% 200.00/160.40 |
% 200.00/160.40 | Equations (3797) can reduce 3792 to:
% 200.00/160.40 | (62) $false
% 200.00/160.40 |
% 200.00/160.40 |-The branch is then unsatisfiable
% 200.00/160.40 |-Branch two:
% 200.00/160.40 | (3799) ~ (all_1033_1_14476 = 0) & environment(all_33_4_38) = all_1033_1_14476
% 200.00/160.40 |
% 200.00/160.40 | Applying alpha-rule on (3799) yields:
% 200.00/160.40 | (3800) ~ (all_1033_1_14476 = 0)
% 200.00/160.40 | (3801) environment(all_33_4_38) = all_1033_1_14476
% 200.00/160.40 |
% 200.00/160.41 | Instantiating formula (35) with all_33_4_38, all_1033_1_14476, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_14476, environment(all_33_4_38) = 0, yields:
% 200.00/160.41 | (3787) all_1033_1_14476 = 0
% 200.00/160.41 |
% 200.00/160.41 | Equations (3787) can reduce 3800 to:
% 200.00/160.41 | (62) $false
% 200.00/160.41 |
% 200.00/160.41 |-The branch is then unsatisfiable
% 200.00/160.41 |-Branch two:
% 200.00/160.41 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.00/160.41 |
% 200.00/160.41 | Applying alpha-rule on (403) yields:
% 200.00/160.41 | (404) ~ (all_569_1_284 = 0)
% 200.00/160.41 | (405) environment(all_33_4_38) = all_569_1_284
% 200.00/160.41 |
% 200.00/160.41 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.00/160.41 | (406) all_569_1_284 = 0
% 200.00/160.41 |
% 200.00/160.41 | Equations (406) can reduce 404 to:
% 200.00/160.41 | (62) $false
% 200.00/160.41 |
% 200.00/160.41 |-The branch is then unsatisfiable
% 200.00/160.41 |-Branch two:
% 200.00/160.41 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.00/160.41 |
% 200.00/160.41 | Applying alpha-rule on (653) yields:
% 200.00/160.41 | (654) ~ (all_564_1_273 = 0)
% 200.00/160.41 | (655) environment(all_33_4_38) = all_564_1_273
% 200.00/160.41 |
% 200.00/160.41 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.00/160.41 | (656) all_564_1_273 = 0
% 200.00/160.41 |
% 200.00/160.41 | Equations (656) can reduce 654 to:
% 200.00/160.41 | (62) $false
% 200.00/160.41 |
% 200.00/160.41 |-The branch is then unsatisfiable
% 200.00/160.41 |-Branch two:
% 200.00/160.41 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 200.00/160.41 |
% 200.00/160.41 | Applying alpha-rule on (484) yields:
% 200.00/160.41 | (485) ~ (all_568_1_282 = 0)
% 200.00/160.41 | (486) environment(all_33_4_38) = all_568_1_282
% 200.00/160.41 |
% 200.00/160.41 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 200.35/160.41 | (487) all_568_1_282 = 0
% 200.35/160.41 |
% 200.35/160.41 | Equations (487) can reduce 485 to:
% 200.35/160.41 | (62) $false
% 200.35/160.41 |
% 200.35/160.41 |-The branch is then unsatisfiable
% 200.35/160.41 |-Branch two:
% 200.35/160.41 | (3096) ~ (all_554_1_250 = 0) & environment(all_33_4_38) = all_554_1_250
% 200.35/160.41 |
% 200.35/160.41 | Applying alpha-rule on (3096) yields:
% 200.35/160.41 | (3097) ~ (all_554_1_250 = 0)
% 200.35/160.41 | (3098) environment(all_33_4_38) = all_554_1_250
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (35) with all_33_4_38, all_554_1_250, 0 and discharging atoms environment(all_33_4_38) = all_554_1_250, environment(all_33_4_38) = 0, yields:
% 200.35/160.41 | (3099) all_554_1_250 = 0
% 200.35/160.41 |
% 200.35/160.41 | Equations (3099) can reduce 3097 to:
% 200.35/160.41 | (62) $false
% 200.35/160.41 |
% 200.35/160.41 |-The branch is then unsatisfiable
% 200.35/160.41 |-Branch two:
% 200.35/160.41 | (658) all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262
% 200.35/160.41 |
% 200.35/160.41 | Applying alpha-rule on (658) yields:
% 200.35/160.41 | (319) all_559_0_261 = 0
% 200.35/160.41 | (660) greater(all_60_2_75, all_559_1_262) = 0
% 200.35/160.41 | (321) end_time(all_33_4_38) = all_559_1_262
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.41 | (322) all_559_1_262 = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 | From (322) and (321) follows:
% 200.35/160.41 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (273), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (303) (all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250) | (all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250)
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (303), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (304) all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250
% 200.35/160.41 |
% 200.35/160.41 | Applying alpha-rule on (304) yields:
% 200.35/160.41 | (305) all_554_0_249 = 0
% 200.35/160.41 | (306) greater_or_equal(all_554_1_250, all_114_2_98) = 0
% 200.35/160.41 | (307) end_time(all_33_4_38) = all_554_1_250
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (43) with all_33_4_38, all_554_1_250, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_554_1_250, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.41 | (308) all_554_1_250 = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 | From (308) and (307) follows:
% 200.35/160.41 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (277), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (331), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.35/160.41 |
% 200.35/160.41 | Applying alpha-rule on (332) yields:
% 200.35/160.41 | (333) all_568_0_281 = 0
% 200.35/160.41 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 200.35/160.41 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.41 | (336) all_568_1_282 = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 | From (336) and (335) follows:
% 200.35/160.41 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (276), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (324), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.35/160.41 |
% 200.35/160.41 | Applying alpha-rule on (325) yields:
% 200.35/160.41 | (326) all_564_0_272 = 0
% 200.35/160.41 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.35/160.41 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.41 | (329) all_564_1_273 = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 | From (329) and (328) follows:
% 200.35/160.41 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (278), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (338), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.41 |
% 200.35/160.41 | Applying alpha-rule on (339) yields:
% 200.35/160.41 | (340) all_569_0_283 = 0
% 200.35/160.41 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.35/160.41 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.41 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 | From (343) and (342) follows:
% 200.35/160.41 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.41 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.41 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.41 |
% 200.35/160.41 | Instantiating (345) with all_1033_0_15019, all_1033_1_15020 yields:
% 200.35/160.41 | (3860) (all_1033_1_15020 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_15019 = 0) & greater_or_equal(all_1033_1_15020, all_33_1_35) = all_1033_0_15019 & end_time(all_33_4_38) = all_1033_1_15020) | ( ~ (all_1033_1_15020 = 0) & environment(all_33_4_38) = all_1033_1_15020)
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (3117) all_777_0_5721 = 0
% 200.35/160.41 |
% 200.35/160.41 | Equations (3117) can reduce 3122 to:
% 200.35/160.41 | (62) $false
% 200.35/160.41 |
% 200.35/160.41 |-The branch is then unsatisfiable
% 200.35/160.41 |-Branch two:
% 200.35/160.41 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.41 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (3860), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (3865) (all_1033_1_15020 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_15019 = 0) & greater_or_equal(all_1033_1_15020, all_33_1_35) = all_1033_0_15019 & end_time(all_33_4_38) = all_1033_1_15020)
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (3865), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (3866) all_1033_1_15020 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.41 |
% 200.35/160.41 | Applying alpha-rule on (3866) yields:
% 200.35/160.41 | (3867) all_1033_1_15020 = 0
% 200.35/160.41 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.41 | (3117) all_777_0_5721 = 0
% 200.35/160.41 |
% 200.35/160.41 | Equations (3117) can reduce 3122 to:
% 200.35/160.41 | (62) $false
% 200.35/160.41 |
% 200.35/160.41 |-The branch is then unsatisfiable
% 200.35/160.41 |-Branch two:
% 200.35/160.41 | (3871) ~ (all_1033_0_15019 = 0) & greater_or_equal(all_1033_1_15020, all_33_1_35) = all_1033_0_15019 & end_time(all_33_4_38) = all_1033_1_15020
% 200.35/160.41 |
% 200.35/160.41 | Applying alpha-rule on (3871) yields:
% 200.35/160.41 | (3872) ~ (all_1033_0_15019 = 0)
% 200.35/160.41 | (3873) greater_or_equal(all_1033_1_15020, all_33_1_35) = all_1033_0_15019
% 200.35/160.41 | (3874) end_time(all_33_4_38) = all_1033_1_15020
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (43) with all_33_4_38, all_1033_1_15020, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_15020, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.41 | (3875) all_1033_1_15020 = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 | From (3875) and (3873) follows:
% 200.35/160.41 | (3876) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_15019
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (34) with all_1033_0_15019, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_15019, yields:
% 200.35/160.41 | (3877) all_1033_0_15019 = 0
% 200.35/160.41 |
% 200.35/160.41 | Equations (3877) can reduce 3872 to:
% 200.35/160.41 | (62) $false
% 200.35/160.41 |
% 200.35/160.41 |-The branch is then unsatisfiable
% 200.35/160.41 |-Branch two:
% 200.35/160.41 | (3879) ~ (all_1033_1_15020 = 0) & environment(all_33_4_38) = all_1033_1_15020
% 200.35/160.41 |
% 200.35/160.41 | Applying alpha-rule on (3879) yields:
% 200.35/160.41 | (3880) ~ (all_1033_1_15020 = 0)
% 200.35/160.41 | (3881) environment(all_33_4_38) = all_1033_1_15020
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (35) with all_33_4_38, all_1033_1_15020, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_15020, environment(all_33_4_38) = 0, yields:
% 200.35/160.41 | (3867) all_1033_1_15020 = 0
% 200.35/160.41 |
% 200.35/160.41 | Equations (3867) can reduce 3880 to:
% 200.35/160.41 | (62) $false
% 200.35/160.41 |
% 200.35/160.41 |-The branch is then unsatisfiable
% 200.35/160.41 |-Branch two:
% 200.35/160.41 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.41 |
% 200.35/160.41 | Applying alpha-rule on (371) yields:
% 200.35/160.41 | (340) all_569_0_283 = 0
% 200.35/160.41 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.35/160.41 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.41 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 | From (343) and (342) follows:
% 200.35/160.41 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.41 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.41 |
% 200.35/160.41 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.41 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.41 |
% 200.35/160.41 | Instantiating (345) with all_1033_0_15563, all_1033_1_15564 yields:
% 200.35/160.41 | (3892) (all_1033_1_15564 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_15563 = 0) & greater_or_equal(all_1033_1_15564, all_33_1_35) = all_1033_0_15563 & end_time(all_33_4_38) = all_1033_1_15564) | ( ~ (all_1033_1_15564 = 0) & environment(all_33_4_38) = all_1033_1_15564)
% 200.35/160.41 |
% 200.35/160.41 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.41 |-Branch one:
% 200.35/160.41 | (3117) all_777_0_5721 = 0
% 200.35/160.41 |
% 200.35/160.42 | Equations (3117) can reduce 3122 to:
% 200.35/160.42 | (62) $false
% 200.35/160.42 |
% 200.35/160.42 |-The branch is then unsatisfiable
% 200.35/160.42 |-Branch two:
% 200.35/160.42 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.42 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.42 |
% 200.35/160.42 +-Applying beta-rule and splitting (3892), into two cases.
% 200.35/160.42 |-Branch one:
% 200.35/160.42 | (3897) (all_1033_1_15564 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_15563 = 0) & greater_or_equal(all_1033_1_15564, all_33_1_35) = all_1033_0_15563 & end_time(all_33_4_38) = all_1033_1_15564)
% 200.35/160.42 |
% 200.35/160.42 +-Applying beta-rule and splitting (3897), into two cases.
% 200.35/160.42 |-Branch one:
% 200.35/160.42 | (3898) all_1033_1_15564 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.42 |
% 200.35/160.42 | Applying alpha-rule on (3898) yields:
% 200.35/160.42 | (3899) all_1033_1_15564 = 0
% 200.35/160.42 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.42 | (3117) all_777_0_5721 = 0
% 200.35/160.42 |
% 200.35/160.42 | Equations (3117) can reduce 3122 to:
% 200.35/160.42 | (62) $false
% 200.35/160.42 |
% 200.35/160.42 |-The branch is then unsatisfiable
% 200.35/160.42 |-Branch two:
% 200.35/160.42 | (3903) ~ (all_1033_0_15563 = 0) & greater_or_equal(all_1033_1_15564, all_33_1_35) = all_1033_0_15563 & end_time(all_33_4_38) = all_1033_1_15564
% 200.35/160.42 |
% 200.35/160.42 | Applying alpha-rule on (3903) yields:
% 200.35/160.42 | (3904) ~ (all_1033_0_15563 = 0)
% 200.35/160.42 | (3905) greater_or_equal(all_1033_1_15564, all_33_1_35) = all_1033_0_15563
% 200.35/160.42 | (3906) end_time(all_33_4_38) = all_1033_1_15564
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (43) with all_33_4_38, all_1033_1_15564, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_15564, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.42 | (3907) all_1033_1_15564 = all_33_1_35
% 200.35/160.42 |
% 200.35/160.42 | From (3907) and (3905) follows:
% 200.35/160.42 | (3908) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_15563
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (34) with all_1033_0_15563, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_15563, yields:
% 200.35/160.42 | (3909) all_1033_0_15563 = 0
% 200.35/160.42 |
% 200.35/160.42 | Equations (3909) can reduce 3904 to:
% 200.35/160.42 | (62) $false
% 200.35/160.42 |
% 200.35/160.42 |-The branch is then unsatisfiable
% 200.35/160.42 |-Branch two:
% 200.35/160.42 | (3911) ~ (all_1033_1_15564 = 0) & environment(all_33_4_38) = all_1033_1_15564
% 200.35/160.42 |
% 200.35/160.42 | Applying alpha-rule on (3911) yields:
% 200.35/160.42 | (3912) ~ (all_1033_1_15564 = 0)
% 200.35/160.42 | (3913) environment(all_33_4_38) = all_1033_1_15564
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (35) with all_33_4_38, all_1033_1_15564, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_15564, environment(all_33_4_38) = 0, yields:
% 200.35/160.42 | (3899) all_1033_1_15564 = 0
% 200.35/160.42 |
% 200.35/160.42 | Equations (3899) can reduce 3912 to:
% 200.35/160.42 | (62) $false
% 200.35/160.42 |
% 200.35/160.42 |-The branch is then unsatisfiable
% 200.35/160.42 |-Branch two:
% 200.35/160.42 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.35/160.42 |
% 200.35/160.42 | Applying alpha-rule on (403) yields:
% 200.35/160.42 | (404) ~ (all_569_1_284 = 0)
% 200.35/160.42 | (405) environment(all_33_4_38) = all_569_1_284
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.35/160.42 | (406) all_569_1_284 = 0
% 200.35/160.42 |
% 200.35/160.42 | Equations (406) can reduce 404 to:
% 200.35/160.42 | (62) $false
% 200.35/160.42 |
% 200.35/160.42 |-The branch is then unsatisfiable
% 200.35/160.42 |-Branch two:
% 200.35/160.42 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.35/160.42 |
% 200.35/160.42 | Applying alpha-rule on (489) yields:
% 200.35/160.42 | (326) all_564_0_272 = 0
% 200.35/160.42 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 200.35/160.42 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.42 | (329) all_564_1_273 = all_33_1_35
% 200.35/160.42 |
% 200.35/160.42 | From (329) and (328) follows:
% 200.35/160.42 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.42 |
% 200.35/160.42 +-Applying beta-rule and splitting (278), into two cases.
% 200.35/160.42 |-Branch one:
% 200.35/160.42 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.35/160.42 |
% 200.35/160.42 +-Applying beta-rule and splitting (338), into two cases.
% 200.35/160.42 |-Branch one:
% 200.35/160.42 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.42 |
% 200.35/160.42 | Applying alpha-rule on (339) yields:
% 200.35/160.42 | (340) all_569_0_283 = 0
% 200.35/160.42 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.35/160.42 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.42 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.42 |
% 200.35/160.42 | From (343) and (342) follows:
% 200.35/160.42 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.42 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.42 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.42 |
% 200.35/160.42 | Instantiating (345) with all_1033_0_16107, all_1033_1_16108 yields:
% 200.35/160.42 | (3936) (all_1033_1_16108 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_16107 = 0) & greater_or_equal(all_1033_1_16108, all_33_1_35) = all_1033_0_16107 & end_time(all_33_4_38) = all_1033_1_16108) | ( ~ (all_1033_1_16108 = 0) & environment(all_33_4_38) = all_1033_1_16108)
% 200.35/160.42 |
% 200.35/160.42 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.42 |-Branch one:
% 200.35/160.42 | (3117) all_777_0_5721 = 0
% 200.35/160.42 |
% 200.35/160.42 | Equations (3117) can reduce 3122 to:
% 200.35/160.42 | (62) $false
% 200.35/160.42 |
% 200.35/160.42 |-The branch is then unsatisfiable
% 200.35/160.42 |-Branch two:
% 200.35/160.42 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.42 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.42 |
% 200.35/160.42 +-Applying beta-rule and splitting (3936), into two cases.
% 200.35/160.42 |-Branch one:
% 200.35/160.42 | (3941) (all_1033_1_16108 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_16107 = 0) & greater_or_equal(all_1033_1_16108, all_33_1_35) = all_1033_0_16107 & end_time(all_33_4_38) = all_1033_1_16108)
% 200.35/160.42 |
% 200.35/160.42 +-Applying beta-rule and splitting (3941), into two cases.
% 200.35/160.42 |-Branch one:
% 200.35/160.42 | (3942) all_1033_1_16108 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.42 |
% 200.35/160.42 | Applying alpha-rule on (3942) yields:
% 200.35/160.42 | (3943) all_1033_1_16108 = 0
% 200.35/160.42 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.42 | (3117) all_777_0_5721 = 0
% 200.35/160.42 |
% 200.35/160.42 | Equations (3117) can reduce 3122 to:
% 200.35/160.42 | (62) $false
% 200.35/160.42 |
% 200.35/160.42 |-The branch is then unsatisfiable
% 200.35/160.42 |-Branch two:
% 200.35/160.42 | (3947) ~ (all_1033_0_16107 = 0) & greater_or_equal(all_1033_1_16108, all_33_1_35) = all_1033_0_16107 & end_time(all_33_4_38) = all_1033_1_16108
% 200.35/160.42 |
% 200.35/160.42 | Applying alpha-rule on (3947) yields:
% 200.35/160.42 | (3948) ~ (all_1033_0_16107 = 0)
% 200.35/160.42 | (3949) greater_or_equal(all_1033_1_16108, all_33_1_35) = all_1033_0_16107
% 200.35/160.42 | (3950) end_time(all_33_4_38) = all_1033_1_16108
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (43) with all_33_4_38, all_1033_1_16108, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_16108, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.42 | (3951) all_1033_1_16108 = all_33_1_35
% 200.35/160.42 |
% 200.35/160.42 | From (3951) and (3949) follows:
% 200.35/160.42 | (3952) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_16107
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (34) with all_1033_0_16107, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_16107, yields:
% 200.35/160.42 | (3953) all_1033_0_16107 = 0
% 200.35/160.42 |
% 200.35/160.42 | Equations (3953) can reduce 3948 to:
% 200.35/160.42 | (62) $false
% 200.35/160.42 |
% 200.35/160.42 |-The branch is then unsatisfiable
% 200.35/160.42 |-Branch two:
% 200.35/160.42 | (3955) ~ (all_1033_1_16108 = 0) & environment(all_33_4_38) = all_1033_1_16108
% 200.35/160.42 |
% 200.35/160.42 | Applying alpha-rule on (3955) yields:
% 200.35/160.42 | (3956) ~ (all_1033_1_16108 = 0)
% 200.35/160.42 | (3957) environment(all_33_4_38) = all_1033_1_16108
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (35) with all_33_4_38, all_1033_1_16108, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_16108, environment(all_33_4_38) = 0, yields:
% 200.35/160.42 | (3943) all_1033_1_16108 = 0
% 200.35/160.42 |
% 200.35/160.42 | Equations (3943) can reduce 3956 to:
% 200.35/160.42 | (62) $false
% 200.35/160.42 |
% 200.35/160.42 |-The branch is then unsatisfiable
% 200.35/160.42 |-Branch two:
% 200.35/160.42 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.42 |
% 200.35/160.42 | Applying alpha-rule on (371) yields:
% 200.35/160.42 | (340) all_569_0_283 = 0
% 200.35/160.42 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.35/160.42 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.42 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.42 |
% 200.35/160.42 | From (343) and (342) follows:
% 200.35/160.42 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.42 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.42 |
% 200.35/160.42 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.42 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.42 |
% 200.35/160.42 | Instantiating (345) with all_1033_0_16651, all_1033_1_16652 yields:
% 200.35/160.42 | (3968) (all_1033_1_16652 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_16651 = 0) & greater_or_equal(all_1033_1_16652, all_33_1_35) = all_1033_0_16651 & end_time(all_33_4_38) = all_1033_1_16652) | ( ~ (all_1033_1_16652 = 0) & environment(all_33_4_38) = all_1033_1_16652)
% 200.35/160.43 |
% 200.35/160.43 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.43 |-Branch one:
% 200.35/160.43 | (3117) all_777_0_5721 = 0
% 200.35/160.43 |
% 200.35/160.43 | Equations (3117) can reduce 3122 to:
% 200.35/160.43 | (62) $false
% 200.35/160.43 |
% 200.35/160.43 |-The branch is then unsatisfiable
% 200.35/160.43 |-Branch two:
% 200.35/160.43 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.43 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.43 |
% 200.35/160.43 +-Applying beta-rule and splitting (3968), into two cases.
% 200.35/160.43 |-Branch one:
% 200.35/160.43 | (3973) (all_1033_1_16652 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_16651 = 0) & greater_or_equal(all_1033_1_16652, all_33_1_35) = all_1033_0_16651 & end_time(all_33_4_38) = all_1033_1_16652)
% 200.35/160.43 |
% 200.35/160.43 +-Applying beta-rule and splitting (3973), into two cases.
% 200.35/160.43 |-Branch one:
% 200.35/160.43 | (3974) all_1033_1_16652 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (3974) yields:
% 200.35/160.43 | (3975) all_1033_1_16652 = 0
% 200.35/160.43 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.43 | (3117) all_777_0_5721 = 0
% 200.35/160.43 |
% 200.35/160.43 | Equations (3117) can reduce 3122 to:
% 200.35/160.43 | (62) $false
% 200.35/160.43 |
% 200.35/160.43 |-The branch is then unsatisfiable
% 200.35/160.43 |-Branch two:
% 200.35/160.43 | (3979) ~ (all_1033_0_16651 = 0) & greater_or_equal(all_1033_1_16652, all_33_1_35) = all_1033_0_16651 & end_time(all_33_4_38) = all_1033_1_16652
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (3979) yields:
% 200.35/160.43 | (3980) ~ (all_1033_0_16651 = 0)
% 200.35/160.43 | (3981) greater_or_equal(all_1033_1_16652, all_33_1_35) = all_1033_0_16651
% 200.35/160.43 | (3982) end_time(all_33_4_38) = all_1033_1_16652
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (43) with all_33_4_38, all_1033_1_16652, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_16652, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.43 | (3983) all_1033_1_16652 = all_33_1_35
% 200.35/160.43 |
% 200.35/160.43 | From (3983) and (3981) follows:
% 200.35/160.43 | (3984) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_16651
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (34) with all_1033_0_16651, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_16651, yields:
% 200.35/160.43 | (3985) all_1033_0_16651 = 0
% 200.35/160.43 |
% 200.35/160.43 | Equations (3985) can reduce 3980 to:
% 200.35/160.43 | (62) $false
% 200.35/160.43 |
% 200.35/160.43 |-The branch is then unsatisfiable
% 200.35/160.43 |-Branch two:
% 200.35/160.43 | (3987) ~ (all_1033_1_16652 = 0) & environment(all_33_4_38) = all_1033_1_16652
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (3987) yields:
% 200.35/160.43 | (3988) ~ (all_1033_1_16652 = 0)
% 200.35/160.43 | (3989) environment(all_33_4_38) = all_1033_1_16652
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (35) with all_33_4_38, all_1033_1_16652, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_16652, environment(all_33_4_38) = 0, yields:
% 200.35/160.43 | (3975) all_1033_1_16652 = 0
% 200.35/160.43 |
% 200.35/160.43 | Equations (3975) can reduce 3988 to:
% 200.35/160.43 | (62) $false
% 200.35/160.43 |
% 200.35/160.43 |-The branch is then unsatisfiable
% 200.35/160.43 |-Branch two:
% 200.35/160.43 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (403) yields:
% 200.35/160.43 | (404) ~ (all_569_1_284 = 0)
% 200.35/160.43 | (405) environment(all_33_4_38) = all_569_1_284
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.35/160.43 | (406) all_569_1_284 = 0
% 200.35/160.43 |
% 200.35/160.43 | Equations (406) can reduce 404 to:
% 200.35/160.43 | (62) $false
% 200.35/160.43 |
% 200.35/160.43 |-The branch is then unsatisfiable
% 200.35/160.43 |-Branch two:
% 200.35/160.43 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (653) yields:
% 200.35/160.43 | (654) ~ (all_564_1_273 = 0)
% 200.35/160.43 | (655) environment(all_33_4_38) = all_564_1_273
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.35/160.43 | (656) all_564_1_273 = 0
% 200.35/160.43 |
% 200.35/160.43 | Equations (656) can reduce 654 to:
% 200.35/160.43 | (62) $false
% 200.35/160.43 |
% 200.35/160.43 |-The branch is then unsatisfiable
% 200.35/160.43 |-Branch two:
% 200.35/160.43 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (408) yields:
% 200.35/160.43 | (333) all_568_0_281 = 0
% 200.35/160.43 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 200.35/160.43 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.43 | (336) all_568_1_282 = all_33_1_35
% 200.35/160.43 |
% 200.35/160.43 | From (336) and (335) follows:
% 200.35/160.43 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.43 |
% 200.35/160.43 +-Applying beta-rule and splitting (276), into two cases.
% 200.35/160.43 |-Branch one:
% 200.35/160.43 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.35/160.43 |
% 200.35/160.43 +-Applying beta-rule and splitting (324), into two cases.
% 200.35/160.43 |-Branch one:
% 200.35/160.43 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (325) yields:
% 200.35/160.43 | (326) all_564_0_272 = 0
% 200.35/160.43 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.35/160.43 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.43 | (329) all_564_1_273 = all_33_1_35
% 200.35/160.43 |
% 200.35/160.43 | From (329) and (328) follows:
% 200.35/160.43 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.43 |
% 200.35/160.43 +-Applying beta-rule and splitting (278), into two cases.
% 200.35/160.43 |-Branch one:
% 200.35/160.43 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.35/160.43 |
% 200.35/160.43 +-Applying beta-rule and splitting (338), into two cases.
% 200.35/160.43 |-Branch one:
% 200.35/160.43 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (339) yields:
% 200.35/160.43 | (340) all_569_0_283 = 0
% 200.35/160.43 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.35/160.43 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.43 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.43 |
% 200.35/160.43 | From (343) and (342) follows:
% 200.35/160.43 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.43 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.43 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.43 |
% 200.35/160.43 | Instantiating (345) with all_1033_0_17195, all_1033_1_17196 yields:
% 200.35/160.43 | (4024) (all_1033_1_17196 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_17195 = 0) & greater_or_equal(all_1033_1_17196, all_33_1_35) = all_1033_0_17195 & end_time(all_33_4_38) = all_1033_1_17196) | ( ~ (all_1033_1_17196 = 0) & environment(all_33_4_38) = all_1033_1_17196)
% 200.35/160.43 |
% 200.35/160.43 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.43 |-Branch one:
% 200.35/160.43 | (3117) all_777_0_5721 = 0
% 200.35/160.43 |
% 200.35/160.43 | Equations (3117) can reduce 3122 to:
% 200.35/160.43 | (62) $false
% 200.35/160.43 |
% 200.35/160.43 |-The branch is then unsatisfiable
% 200.35/160.43 |-Branch two:
% 200.35/160.43 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.43 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.43 |
% 200.35/160.43 +-Applying beta-rule and splitting (4024), into two cases.
% 200.35/160.43 |-Branch one:
% 200.35/160.43 | (4029) (all_1033_1_17196 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_17195 = 0) & greater_or_equal(all_1033_1_17196, all_33_1_35) = all_1033_0_17195 & end_time(all_33_4_38) = all_1033_1_17196)
% 200.35/160.43 |
% 200.35/160.43 +-Applying beta-rule and splitting (4029), into two cases.
% 200.35/160.43 |-Branch one:
% 200.35/160.43 | (4030) all_1033_1_17196 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (4030) yields:
% 200.35/160.43 | (4031) all_1033_1_17196 = 0
% 200.35/160.43 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.43 | (3117) all_777_0_5721 = 0
% 200.35/160.43 |
% 200.35/160.43 | Equations (3117) can reduce 3122 to:
% 200.35/160.43 | (62) $false
% 200.35/160.43 |
% 200.35/160.43 |-The branch is then unsatisfiable
% 200.35/160.43 |-Branch two:
% 200.35/160.43 | (4035) ~ (all_1033_0_17195 = 0) & greater_or_equal(all_1033_1_17196, all_33_1_35) = all_1033_0_17195 & end_time(all_33_4_38) = all_1033_1_17196
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (4035) yields:
% 200.35/160.43 | (4036) ~ (all_1033_0_17195 = 0)
% 200.35/160.43 | (4037) greater_or_equal(all_1033_1_17196, all_33_1_35) = all_1033_0_17195
% 200.35/160.43 | (4038) end_time(all_33_4_38) = all_1033_1_17196
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (43) with all_33_4_38, all_1033_1_17196, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_17196, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.43 | (4039) all_1033_1_17196 = all_33_1_35
% 200.35/160.43 |
% 200.35/160.43 | From (4039) and (4037) follows:
% 200.35/160.43 | (4040) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_17195
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (34) with all_1033_0_17195, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_17195, yields:
% 200.35/160.43 | (4041) all_1033_0_17195 = 0
% 200.35/160.43 |
% 200.35/160.43 | Equations (4041) can reduce 4036 to:
% 200.35/160.43 | (62) $false
% 200.35/160.43 |
% 200.35/160.43 |-The branch is then unsatisfiable
% 200.35/160.43 |-Branch two:
% 200.35/160.43 | (4043) ~ (all_1033_1_17196 = 0) & environment(all_33_4_38) = all_1033_1_17196
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (4043) yields:
% 200.35/160.43 | (4044) ~ (all_1033_1_17196 = 0)
% 200.35/160.43 | (4045) environment(all_33_4_38) = all_1033_1_17196
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (35) with all_33_4_38, all_1033_1_17196, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_17196, environment(all_33_4_38) = 0, yields:
% 200.35/160.43 | (4031) all_1033_1_17196 = 0
% 200.35/160.43 |
% 200.35/160.43 | Equations (4031) can reduce 4044 to:
% 200.35/160.43 | (62) $false
% 200.35/160.43 |
% 200.35/160.43 |-The branch is then unsatisfiable
% 200.35/160.43 |-Branch two:
% 200.35/160.43 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.43 |
% 200.35/160.43 | Applying alpha-rule on (371) yields:
% 200.35/160.43 | (340) all_569_0_283 = 0
% 200.35/160.43 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.35/160.43 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.43 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.43 |
% 200.35/160.43 | From (343) and (342) follows:
% 200.35/160.43 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.43 |
% 200.35/160.43 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.44 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.44 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.44 |
% 200.35/160.44 | Instantiating (345) with all_1033_0_17739, all_1033_1_17740 yields:
% 200.35/160.44 | (4056) (all_1033_1_17740 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_17739 = 0) & greater_or_equal(all_1033_1_17740, all_33_1_35) = all_1033_0_17739 & end_time(all_33_4_38) = all_1033_1_17740) | ( ~ (all_1033_1_17740 = 0) & environment(all_33_4_38) = all_1033_1_17740)
% 200.35/160.44 |
% 200.35/160.44 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.44 |-Branch one:
% 200.35/160.44 | (3117) all_777_0_5721 = 0
% 200.35/160.44 |
% 200.35/160.44 | Equations (3117) can reduce 3122 to:
% 200.35/160.44 | (62) $false
% 200.35/160.44 |
% 200.35/160.44 |-The branch is then unsatisfiable
% 200.35/160.44 |-Branch two:
% 200.35/160.44 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.44 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.44 |
% 200.35/160.44 +-Applying beta-rule and splitting (4056), into two cases.
% 200.35/160.44 |-Branch one:
% 200.35/160.44 | (4061) (all_1033_1_17740 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_17739 = 0) & greater_or_equal(all_1033_1_17740, all_33_1_35) = all_1033_0_17739 & end_time(all_33_4_38) = all_1033_1_17740)
% 200.35/160.44 |
% 200.35/160.44 +-Applying beta-rule and splitting (4061), into two cases.
% 200.35/160.44 |-Branch one:
% 200.35/160.44 | (4062) all_1033_1_17740 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.44 |
% 200.35/160.44 | Applying alpha-rule on (4062) yields:
% 200.35/160.44 | (4063) all_1033_1_17740 = 0
% 200.35/160.44 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.44 | (3117) all_777_0_5721 = 0
% 200.35/160.44 |
% 200.35/160.44 | Equations (3117) can reduce 3122 to:
% 200.35/160.44 | (62) $false
% 200.35/160.44 |
% 200.35/160.44 |-The branch is then unsatisfiable
% 200.35/160.44 |-Branch two:
% 200.35/160.44 | (4067) ~ (all_1033_0_17739 = 0) & greater_or_equal(all_1033_1_17740, all_33_1_35) = all_1033_0_17739 & end_time(all_33_4_38) = all_1033_1_17740
% 200.35/160.44 |
% 200.35/160.44 | Applying alpha-rule on (4067) yields:
% 200.35/160.44 | (4068) ~ (all_1033_0_17739 = 0)
% 200.35/160.44 | (4069) greater_or_equal(all_1033_1_17740, all_33_1_35) = all_1033_0_17739
% 200.35/160.44 | (4070) end_time(all_33_4_38) = all_1033_1_17740
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (43) with all_33_4_38, all_1033_1_17740, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_17740, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.44 | (4071) all_1033_1_17740 = all_33_1_35
% 200.35/160.44 |
% 200.35/160.44 | From (4071) and (4069) follows:
% 200.35/160.44 | (4072) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_17739
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (34) with all_1033_0_17739, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_17739, yields:
% 200.35/160.44 | (4073) all_1033_0_17739 = 0
% 200.35/160.44 |
% 200.35/160.44 | Equations (4073) can reduce 4068 to:
% 200.35/160.44 | (62) $false
% 200.35/160.44 |
% 200.35/160.44 |-The branch is then unsatisfiable
% 200.35/160.44 |-Branch two:
% 200.35/160.44 | (4075) ~ (all_1033_1_17740 = 0) & environment(all_33_4_38) = all_1033_1_17740
% 200.35/160.44 |
% 200.35/160.44 | Applying alpha-rule on (4075) yields:
% 200.35/160.44 | (4076) ~ (all_1033_1_17740 = 0)
% 200.35/160.44 | (4077) environment(all_33_4_38) = all_1033_1_17740
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (35) with all_33_4_38, all_1033_1_17740, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_17740, environment(all_33_4_38) = 0, yields:
% 200.35/160.44 | (4063) all_1033_1_17740 = 0
% 200.35/160.44 |
% 200.35/160.44 | Equations (4063) can reduce 4076 to:
% 200.35/160.44 | (62) $false
% 200.35/160.44 |
% 200.35/160.44 |-The branch is then unsatisfiable
% 200.35/160.44 |-Branch two:
% 200.35/160.44 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.35/160.44 |
% 200.35/160.44 | Applying alpha-rule on (403) yields:
% 200.35/160.44 | (404) ~ (all_569_1_284 = 0)
% 200.35/160.44 | (405) environment(all_33_4_38) = all_569_1_284
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.35/160.44 | (406) all_569_1_284 = 0
% 200.35/160.44 |
% 200.35/160.44 | Equations (406) can reduce 404 to:
% 200.35/160.44 | (62) $false
% 200.35/160.44 |
% 200.35/160.44 |-The branch is then unsatisfiable
% 200.35/160.44 |-Branch two:
% 200.35/160.44 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.35/160.44 |
% 200.35/160.44 | Applying alpha-rule on (489) yields:
% 200.35/160.44 | (326) all_564_0_272 = 0
% 200.35/160.44 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 200.35/160.44 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.44 | (329) all_564_1_273 = all_33_1_35
% 200.35/160.44 |
% 200.35/160.44 | From (329) and (328) follows:
% 200.35/160.44 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.44 |
% 200.35/160.44 +-Applying beta-rule and splitting (278), into two cases.
% 200.35/160.44 |-Branch one:
% 200.35/160.44 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.35/160.44 |
% 200.35/160.44 +-Applying beta-rule and splitting (338), into two cases.
% 200.35/160.44 |-Branch one:
% 200.35/160.44 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.44 |
% 200.35/160.44 | Applying alpha-rule on (339) yields:
% 200.35/160.44 | (340) all_569_0_283 = 0
% 200.35/160.44 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.35/160.44 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.44 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.44 |
% 200.35/160.44 | From (343) and (342) follows:
% 200.35/160.44 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.44 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.44 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.44 |
% 200.35/160.44 | Instantiating (345) with all_1033_0_18283, all_1033_1_18284 yields:
% 200.35/160.44 | (4100) (all_1033_1_18284 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_18283 = 0) & greater_or_equal(all_1033_1_18284, all_33_1_35) = all_1033_0_18283 & end_time(all_33_4_38) = all_1033_1_18284) | ( ~ (all_1033_1_18284 = 0) & environment(all_33_4_38) = all_1033_1_18284)
% 200.35/160.44 |
% 200.35/160.44 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.44 |-Branch one:
% 200.35/160.44 | (3117) all_777_0_5721 = 0
% 200.35/160.44 |
% 200.35/160.44 | Equations (3117) can reduce 3122 to:
% 200.35/160.44 | (62) $false
% 200.35/160.44 |
% 200.35/160.44 |-The branch is then unsatisfiable
% 200.35/160.44 |-Branch two:
% 200.35/160.44 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.44 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.44 |
% 200.35/160.44 +-Applying beta-rule and splitting (4100), into two cases.
% 200.35/160.44 |-Branch one:
% 200.35/160.44 | (4105) (all_1033_1_18284 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_18283 = 0) & greater_or_equal(all_1033_1_18284, all_33_1_35) = all_1033_0_18283 & end_time(all_33_4_38) = all_1033_1_18284)
% 200.35/160.44 |
% 200.35/160.44 +-Applying beta-rule and splitting (4105), into two cases.
% 200.35/160.44 |-Branch one:
% 200.35/160.44 | (4106) all_1033_1_18284 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.44 |
% 200.35/160.44 | Applying alpha-rule on (4106) yields:
% 200.35/160.44 | (4107) all_1033_1_18284 = 0
% 200.35/160.44 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.44 | (3117) all_777_0_5721 = 0
% 200.35/160.44 |
% 200.35/160.44 | Equations (3117) can reduce 3122 to:
% 200.35/160.44 | (62) $false
% 200.35/160.44 |
% 200.35/160.44 |-The branch is then unsatisfiable
% 200.35/160.44 |-Branch two:
% 200.35/160.44 | (4111) ~ (all_1033_0_18283 = 0) & greater_or_equal(all_1033_1_18284, all_33_1_35) = all_1033_0_18283 & end_time(all_33_4_38) = all_1033_1_18284
% 200.35/160.44 |
% 200.35/160.44 | Applying alpha-rule on (4111) yields:
% 200.35/160.44 | (4112) ~ (all_1033_0_18283 = 0)
% 200.35/160.44 | (4113) greater_or_equal(all_1033_1_18284, all_33_1_35) = all_1033_0_18283
% 200.35/160.44 | (4114) end_time(all_33_4_38) = all_1033_1_18284
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (43) with all_33_4_38, all_1033_1_18284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_18284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.44 | (4115) all_1033_1_18284 = all_33_1_35
% 200.35/160.44 |
% 200.35/160.44 | From (4115) and (4113) follows:
% 200.35/160.44 | (4116) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_18283
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (34) with all_1033_0_18283, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_18283, yields:
% 200.35/160.44 | (4117) all_1033_0_18283 = 0
% 200.35/160.44 |
% 200.35/160.44 | Equations (4117) can reduce 4112 to:
% 200.35/160.44 | (62) $false
% 200.35/160.44 |
% 200.35/160.44 |-The branch is then unsatisfiable
% 200.35/160.44 |-Branch two:
% 200.35/160.44 | (4119) ~ (all_1033_1_18284 = 0) & environment(all_33_4_38) = all_1033_1_18284
% 200.35/160.44 |
% 200.35/160.44 | Applying alpha-rule on (4119) yields:
% 200.35/160.44 | (4120) ~ (all_1033_1_18284 = 0)
% 200.35/160.44 | (4121) environment(all_33_4_38) = all_1033_1_18284
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (35) with all_33_4_38, all_1033_1_18284, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_18284, environment(all_33_4_38) = 0, yields:
% 200.35/160.44 | (4107) all_1033_1_18284 = 0
% 200.35/160.44 |
% 200.35/160.44 | Equations (4107) can reduce 4120 to:
% 200.35/160.44 | (62) $false
% 200.35/160.44 |
% 200.35/160.44 |-The branch is then unsatisfiable
% 200.35/160.44 |-Branch two:
% 200.35/160.44 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.44 |
% 200.35/160.44 | Applying alpha-rule on (371) yields:
% 200.35/160.44 | (340) all_569_0_283 = 0
% 200.35/160.44 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.35/160.44 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.44 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.44 |
% 200.35/160.44 | From (343) and (342) follows:
% 200.35/160.44 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.44 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.44 |
% 200.35/160.44 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.45 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.45 |
% 200.35/160.45 | Instantiating (345) with all_1033_0_18827, all_1033_1_18828 yields:
% 200.35/160.45 | (4132) (all_1033_1_18828 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_18827 = 0) & greater_or_equal(all_1033_1_18828, all_33_1_35) = all_1033_0_18827 & end_time(all_33_4_38) = all_1033_1_18828) | ( ~ (all_1033_1_18828 = 0) & environment(all_33_4_38) = all_1033_1_18828)
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (3117) all_777_0_5721 = 0
% 200.35/160.45 |
% 200.35/160.45 | Equations (3117) can reduce 3122 to:
% 200.35/160.45 | (62) $false
% 200.35/160.45 |
% 200.35/160.45 |-The branch is then unsatisfiable
% 200.35/160.45 |-Branch two:
% 200.35/160.45 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.45 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (4132), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (4137) (all_1033_1_18828 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_18827 = 0) & greater_or_equal(all_1033_1_18828, all_33_1_35) = all_1033_0_18827 & end_time(all_33_4_38) = all_1033_1_18828)
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (4137), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (4138) all_1033_1_18828 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (4138) yields:
% 200.35/160.45 | (4139) all_1033_1_18828 = 0
% 200.35/160.45 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.45 | (3117) all_777_0_5721 = 0
% 200.35/160.45 |
% 200.35/160.45 | Equations (3117) can reduce 3122 to:
% 200.35/160.45 | (62) $false
% 200.35/160.45 |
% 200.35/160.45 |-The branch is then unsatisfiable
% 200.35/160.45 |-Branch two:
% 200.35/160.45 | (4143) ~ (all_1033_0_18827 = 0) & greater_or_equal(all_1033_1_18828, all_33_1_35) = all_1033_0_18827 & end_time(all_33_4_38) = all_1033_1_18828
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (4143) yields:
% 200.35/160.45 | (4144) ~ (all_1033_0_18827 = 0)
% 200.35/160.45 | (4145) greater_or_equal(all_1033_1_18828, all_33_1_35) = all_1033_0_18827
% 200.35/160.45 | (4146) end_time(all_33_4_38) = all_1033_1_18828
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (43) with all_33_4_38, all_1033_1_18828, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_18828, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.45 | (4147) all_1033_1_18828 = all_33_1_35
% 200.35/160.45 |
% 200.35/160.45 | From (4147) and (4145) follows:
% 200.35/160.45 | (4148) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_18827
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (34) with all_1033_0_18827, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_18827, yields:
% 200.35/160.45 | (4149) all_1033_0_18827 = 0
% 200.35/160.45 |
% 200.35/160.45 | Equations (4149) can reduce 4144 to:
% 200.35/160.45 | (62) $false
% 200.35/160.45 |
% 200.35/160.45 |-The branch is then unsatisfiable
% 200.35/160.45 |-Branch two:
% 200.35/160.45 | (4151) ~ (all_1033_1_18828 = 0) & environment(all_33_4_38) = all_1033_1_18828
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (4151) yields:
% 200.35/160.45 | (4152) ~ (all_1033_1_18828 = 0)
% 200.35/160.45 | (4153) environment(all_33_4_38) = all_1033_1_18828
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (35) with all_33_4_38, all_1033_1_18828, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_18828, environment(all_33_4_38) = 0, yields:
% 200.35/160.45 | (4139) all_1033_1_18828 = 0
% 200.35/160.45 |
% 200.35/160.45 | Equations (4139) can reduce 4152 to:
% 200.35/160.45 | (62) $false
% 200.35/160.45 |
% 200.35/160.45 |-The branch is then unsatisfiable
% 200.35/160.45 |-Branch two:
% 200.35/160.45 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (403) yields:
% 200.35/160.45 | (404) ~ (all_569_1_284 = 0)
% 200.35/160.45 | (405) environment(all_33_4_38) = all_569_1_284
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.35/160.45 | (406) all_569_1_284 = 0
% 200.35/160.45 |
% 200.35/160.45 | Equations (406) can reduce 404 to:
% 200.35/160.45 | (62) $false
% 200.35/160.45 |
% 200.35/160.45 |-The branch is then unsatisfiable
% 200.35/160.45 |-Branch two:
% 200.35/160.45 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (653) yields:
% 200.35/160.45 | (654) ~ (all_564_1_273 = 0)
% 200.35/160.45 | (655) environment(all_33_4_38) = all_564_1_273
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.35/160.45 | (656) all_564_1_273 = 0
% 200.35/160.45 |
% 200.35/160.45 | Equations (656) can reduce 654 to:
% 200.35/160.45 | (62) $false
% 200.35/160.45 |
% 200.35/160.45 |-The branch is then unsatisfiable
% 200.35/160.45 |-Branch two:
% 200.35/160.45 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (484) yields:
% 200.35/160.45 | (485) ~ (all_568_1_282 = 0)
% 200.35/160.45 | (486) environment(all_33_4_38) = all_568_1_282
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 200.35/160.45 | (487) all_568_1_282 = 0
% 200.35/160.45 |
% 200.35/160.45 | Equations (487) can reduce 485 to:
% 200.35/160.45 | (62) $false
% 200.35/160.45 |
% 200.35/160.45 |-The branch is then unsatisfiable
% 200.35/160.45 |-Branch two:
% 200.35/160.45 | (1700) all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (1700) yields:
% 200.35/160.45 | (305) all_554_0_249 = 0
% 200.35/160.45 | (1702) greater(all_114_2_98, all_554_1_250) = 0
% 200.35/160.45 | (307) end_time(all_33_4_38) = all_554_1_250
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (43) with all_33_4_38, all_554_1_250, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_554_1_250, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.45 | (308) all_554_1_250 = all_33_1_35
% 200.35/160.45 |
% 200.35/160.45 | From (308) and (307) follows:
% 200.35/160.45 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (277), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (331), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (332) yields:
% 200.35/160.45 | (333) all_568_0_281 = 0
% 200.35/160.45 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 200.35/160.45 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.45 | (336) all_568_1_282 = all_33_1_35
% 200.35/160.45 |
% 200.35/160.45 | From (336) and (335) follows:
% 200.35/160.45 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (276), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (324), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (325) yields:
% 200.35/160.45 | (326) all_564_0_272 = 0
% 200.35/160.45 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.35/160.45 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.45 | (329) all_564_1_273 = all_33_1_35
% 200.35/160.45 |
% 200.35/160.45 | From (329) and (328) follows:
% 200.35/160.45 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (278), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (338), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (339) yields:
% 200.35/160.45 | (340) all_569_0_283 = 0
% 200.35/160.45 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.35/160.45 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.45 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.45 |
% 200.35/160.45 | From (343) and (342) follows:
% 200.35/160.45 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.45 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.45 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.45 |
% 200.35/160.45 | Instantiating (345) with all_1033_0_19371, all_1033_1_19372 yields:
% 200.35/160.45 | (4200) (all_1033_1_19372 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_19371 = 0) & greater_or_equal(all_1033_1_19372, all_33_1_35) = all_1033_0_19371 & end_time(all_33_4_38) = all_1033_1_19372) | ( ~ (all_1033_1_19372 = 0) & environment(all_33_4_38) = all_1033_1_19372)
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (3117) all_777_0_5721 = 0
% 200.35/160.45 |
% 200.35/160.45 | Equations (3117) can reduce 3122 to:
% 200.35/160.45 | (62) $false
% 200.35/160.45 |
% 200.35/160.45 |-The branch is then unsatisfiable
% 200.35/160.45 |-Branch two:
% 200.35/160.45 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.45 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (4200), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (4205) (all_1033_1_19372 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_19371 = 0) & greater_or_equal(all_1033_1_19372, all_33_1_35) = all_1033_0_19371 & end_time(all_33_4_38) = all_1033_1_19372)
% 200.35/160.45 |
% 200.35/160.45 +-Applying beta-rule and splitting (4205), into two cases.
% 200.35/160.45 |-Branch one:
% 200.35/160.45 | (4206) all_1033_1_19372 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (4206) yields:
% 200.35/160.45 | (4207) all_1033_1_19372 = 0
% 200.35/160.45 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.45 | (3117) all_777_0_5721 = 0
% 200.35/160.45 |
% 200.35/160.45 | Equations (3117) can reduce 3122 to:
% 200.35/160.45 | (62) $false
% 200.35/160.45 |
% 200.35/160.45 |-The branch is then unsatisfiable
% 200.35/160.45 |-Branch two:
% 200.35/160.45 | (4211) ~ (all_1033_0_19371 = 0) & greater_or_equal(all_1033_1_19372, all_33_1_35) = all_1033_0_19371 & end_time(all_33_4_38) = all_1033_1_19372
% 200.35/160.45 |
% 200.35/160.45 | Applying alpha-rule on (4211) yields:
% 200.35/160.45 | (4212) ~ (all_1033_0_19371 = 0)
% 200.35/160.45 | (4213) greater_or_equal(all_1033_1_19372, all_33_1_35) = all_1033_0_19371
% 200.35/160.45 | (4214) end_time(all_33_4_38) = all_1033_1_19372
% 200.35/160.45 |
% 200.35/160.45 | Instantiating formula (43) with all_33_4_38, all_1033_1_19372, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_19372, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.45 | (4215) all_1033_1_19372 = all_33_1_35
% 200.35/160.45 |
% 200.35/160.45 | From (4215) and (4213) follows:
% 200.35/160.45 | (4216) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_19371
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (34) with all_1033_0_19371, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_19371, yields:
% 200.35/160.46 | (4217) all_1033_0_19371 = 0
% 200.35/160.46 |
% 200.35/160.46 | Equations (4217) can reduce 4212 to:
% 200.35/160.46 | (62) $false
% 200.35/160.46 |
% 200.35/160.46 |-The branch is then unsatisfiable
% 200.35/160.46 |-Branch two:
% 200.35/160.46 | (4219) ~ (all_1033_1_19372 = 0) & environment(all_33_4_38) = all_1033_1_19372
% 200.35/160.46 |
% 200.35/160.46 | Applying alpha-rule on (4219) yields:
% 200.35/160.46 | (4220) ~ (all_1033_1_19372 = 0)
% 200.35/160.46 | (4221) environment(all_33_4_38) = all_1033_1_19372
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (35) with all_33_4_38, all_1033_1_19372, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_19372, environment(all_33_4_38) = 0, yields:
% 200.35/160.46 | (4207) all_1033_1_19372 = 0
% 200.35/160.46 |
% 200.35/160.46 | Equations (4207) can reduce 4220 to:
% 200.35/160.46 | (62) $false
% 200.35/160.46 |
% 200.35/160.46 |-The branch is then unsatisfiable
% 200.35/160.46 |-Branch two:
% 200.35/160.46 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.46 |
% 200.35/160.46 | Applying alpha-rule on (371) yields:
% 200.35/160.46 | (340) all_569_0_283 = 0
% 200.35/160.46 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.35/160.46 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.46 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.46 |
% 200.35/160.46 | From (343) and (342) follows:
% 200.35/160.46 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.46 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.46 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.46 |
% 200.35/160.46 | Instantiating (345) with all_1033_0_19915, all_1033_1_19916 yields:
% 200.35/160.46 | (4232) (all_1033_1_19916 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_19915 = 0) & greater_or_equal(all_1033_1_19916, all_33_1_35) = all_1033_0_19915 & end_time(all_33_4_38) = all_1033_1_19916) | ( ~ (all_1033_1_19916 = 0) & environment(all_33_4_38) = all_1033_1_19916)
% 200.35/160.46 |
% 200.35/160.46 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.46 |-Branch one:
% 200.35/160.46 | (3117) all_777_0_5721 = 0
% 200.35/160.46 |
% 200.35/160.46 | Equations (3117) can reduce 3122 to:
% 200.35/160.46 | (62) $false
% 200.35/160.46 |
% 200.35/160.46 |-The branch is then unsatisfiable
% 200.35/160.46 |-Branch two:
% 200.35/160.46 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.46 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.46 |
% 200.35/160.46 +-Applying beta-rule and splitting (4232), into two cases.
% 200.35/160.46 |-Branch one:
% 200.35/160.46 | (4237) (all_1033_1_19916 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_19915 = 0) & greater_or_equal(all_1033_1_19916, all_33_1_35) = all_1033_0_19915 & end_time(all_33_4_38) = all_1033_1_19916)
% 200.35/160.46 |
% 200.35/160.46 +-Applying beta-rule and splitting (4237), into two cases.
% 200.35/160.46 |-Branch one:
% 200.35/160.46 | (4238) all_1033_1_19916 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.46 |
% 200.35/160.46 | Applying alpha-rule on (4238) yields:
% 200.35/160.46 | (4239) all_1033_1_19916 = 0
% 200.35/160.46 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.46 | (3117) all_777_0_5721 = 0
% 200.35/160.46 |
% 200.35/160.46 | Equations (3117) can reduce 3122 to:
% 200.35/160.46 | (62) $false
% 200.35/160.46 |
% 200.35/160.46 |-The branch is then unsatisfiable
% 200.35/160.46 |-Branch two:
% 200.35/160.46 | (4243) ~ (all_1033_0_19915 = 0) & greater_or_equal(all_1033_1_19916, all_33_1_35) = all_1033_0_19915 & end_time(all_33_4_38) = all_1033_1_19916
% 200.35/160.46 |
% 200.35/160.46 | Applying alpha-rule on (4243) yields:
% 200.35/160.46 | (4244) ~ (all_1033_0_19915 = 0)
% 200.35/160.46 | (4245) greater_or_equal(all_1033_1_19916, all_33_1_35) = all_1033_0_19915
% 200.35/160.46 | (4246) end_time(all_33_4_38) = all_1033_1_19916
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (43) with all_33_4_38, all_1033_1_19916, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_19916, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.46 | (4247) all_1033_1_19916 = all_33_1_35
% 200.35/160.46 |
% 200.35/160.46 | From (4247) and (4245) follows:
% 200.35/160.46 | (4248) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_19915
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (34) with all_1033_0_19915, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_19915, yields:
% 200.35/160.46 | (4249) all_1033_0_19915 = 0
% 200.35/160.46 |
% 200.35/160.46 | Equations (4249) can reduce 4244 to:
% 200.35/160.46 | (62) $false
% 200.35/160.46 |
% 200.35/160.46 |-The branch is then unsatisfiable
% 200.35/160.46 |-Branch two:
% 200.35/160.46 | (4251) ~ (all_1033_1_19916 = 0) & environment(all_33_4_38) = all_1033_1_19916
% 200.35/160.46 |
% 200.35/160.46 | Applying alpha-rule on (4251) yields:
% 200.35/160.46 | (4252) ~ (all_1033_1_19916 = 0)
% 200.35/160.46 | (4253) environment(all_33_4_38) = all_1033_1_19916
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (35) with all_33_4_38, all_1033_1_19916, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_19916, environment(all_33_4_38) = 0, yields:
% 200.35/160.46 | (4239) all_1033_1_19916 = 0
% 200.35/160.46 |
% 200.35/160.46 | Equations (4239) can reduce 4252 to:
% 200.35/160.46 | (62) $false
% 200.35/160.46 |
% 200.35/160.46 |-The branch is then unsatisfiable
% 200.35/160.46 |-Branch two:
% 200.35/160.46 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.35/160.46 |
% 200.35/160.46 | Applying alpha-rule on (403) yields:
% 200.35/160.46 | (404) ~ (all_569_1_284 = 0)
% 200.35/160.46 | (405) environment(all_33_4_38) = all_569_1_284
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.35/160.46 | (406) all_569_1_284 = 0
% 200.35/160.46 |
% 200.35/160.46 | Equations (406) can reduce 404 to:
% 200.35/160.46 | (62) $false
% 200.35/160.46 |
% 200.35/160.46 |-The branch is then unsatisfiable
% 200.35/160.46 |-Branch two:
% 200.35/160.46 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.35/160.46 |
% 200.35/160.46 | Applying alpha-rule on (489) yields:
% 200.35/160.46 | (326) all_564_0_272 = 0
% 200.35/160.46 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 200.35/160.46 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.46 | (329) all_564_1_273 = all_33_1_35
% 200.35/160.46 |
% 200.35/160.46 | From (329) and (328) follows:
% 200.35/160.46 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.46 |
% 200.35/160.46 +-Applying beta-rule and splitting (278), into two cases.
% 200.35/160.46 |-Branch one:
% 200.35/160.46 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.35/160.46 |
% 200.35/160.46 +-Applying beta-rule and splitting (338), into two cases.
% 200.35/160.46 |-Branch one:
% 200.35/160.46 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.46 |
% 200.35/160.46 | Applying alpha-rule on (339) yields:
% 200.35/160.46 | (340) all_569_0_283 = 0
% 200.35/160.46 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.35/160.46 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.46 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.46 |
% 200.35/160.46 | From (343) and (342) follows:
% 200.35/160.46 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.46 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.46 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.46 |
% 200.35/160.46 | Instantiating (345) with all_1033_0_20459, all_1033_1_20460 yields:
% 200.35/160.46 | (4276) (all_1033_1_20460 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_20459 = 0) & greater_or_equal(all_1033_1_20460, all_33_1_35) = all_1033_0_20459 & end_time(all_33_4_38) = all_1033_1_20460) | ( ~ (all_1033_1_20460 = 0) & environment(all_33_4_38) = all_1033_1_20460)
% 200.35/160.46 |
% 200.35/160.46 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.46 |-Branch one:
% 200.35/160.46 | (3117) all_777_0_5721 = 0
% 200.35/160.46 |
% 200.35/160.46 | Equations (3117) can reduce 3122 to:
% 200.35/160.46 | (62) $false
% 200.35/160.46 |
% 200.35/160.46 |-The branch is then unsatisfiable
% 200.35/160.46 |-Branch two:
% 200.35/160.46 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.46 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.46 |
% 200.35/160.46 +-Applying beta-rule and splitting (4276), into two cases.
% 200.35/160.46 |-Branch one:
% 200.35/160.46 | (4281) (all_1033_1_20460 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_20459 = 0) & greater_or_equal(all_1033_1_20460, all_33_1_35) = all_1033_0_20459 & end_time(all_33_4_38) = all_1033_1_20460)
% 200.35/160.46 |
% 200.35/160.46 +-Applying beta-rule and splitting (4281), into two cases.
% 200.35/160.46 |-Branch one:
% 200.35/160.46 | (4282) all_1033_1_20460 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.46 |
% 200.35/160.46 | Applying alpha-rule on (4282) yields:
% 200.35/160.46 | (4283) all_1033_1_20460 = 0
% 200.35/160.46 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.46 | (3117) all_777_0_5721 = 0
% 200.35/160.46 |
% 200.35/160.46 | Equations (3117) can reduce 3122 to:
% 200.35/160.46 | (62) $false
% 200.35/160.46 |
% 200.35/160.46 |-The branch is then unsatisfiable
% 200.35/160.46 |-Branch two:
% 200.35/160.46 | (4287) ~ (all_1033_0_20459 = 0) & greater_or_equal(all_1033_1_20460, all_33_1_35) = all_1033_0_20459 & end_time(all_33_4_38) = all_1033_1_20460
% 200.35/160.46 |
% 200.35/160.46 | Applying alpha-rule on (4287) yields:
% 200.35/160.46 | (4288) ~ (all_1033_0_20459 = 0)
% 200.35/160.46 | (4289) greater_or_equal(all_1033_1_20460, all_33_1_35) = all_1033_0_20459
% 200.35/160.46 | (4290) end_time(all_33_4_38) = all_1033_1_20460
% 200.35/160.46 |
% 200.35/160.46 | Instantiating formula (43) with all_33_4_38, all_1033_1_20460, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_20460, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.47 | (4291) all_1033_1_20460 = all_33_1_35
% 200.35/160.47 |
% 200.35/160.47 | From (4291) and (4289) follows:
% 200.35/160.47 | (4292) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_20459
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (34) with all_1033_0_20459, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_20459, yields:
% 200.35/160.47 | (4293) all_1033_0_20459 = 0
% 200.35/160.47 |
% 200.35/160.47 | Equations (4293) can reduce 4288 to:
% 200.35/160.47 | (62) $false
% 200.35/160.47 |
% 200.35/160.47 |-The branch is then unsatisfiable
% 200.35/160.47 |-Branch two:
% 200.35/160.47 | (4295) ~ (all_1033_1_20460 = 0) & environment(all_33_4_38) = all_1033_1_20460
% 200.35/160.47 |
% 200.35/160.47 | Applying alpha-rule on (4295) yields:
% 200.35/160.47 | (4296) ~ (all_1033_1_20460 = 0)
% 200.35/160.47 | (4297) environment(all_33_4_38) = all_1033_1_20460
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (35) with all_33_4_38, all_1033_1_20460, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_20460, environment(all_33_4_38) = 0, yields:
% 200.35/160.47 | (4283) all_1033_1_20460 = 0
% 200.35/160.47 |
% 200.35/160.47 | Equations (4283) can reduce 4296 to:
% 200.35/160.47 | (62) $false
% 200.35/160.47 |
% 200.35/160.47 |-The branch is then unsatisfiable
% 200.35/160.47 |-Branch two:
% 200.35/160.47 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.47 |
% 200.35/160.47 | Applying alpha-rule on (371) yields:
% 200.35/160.47 | (340) all_569_0_283 = 0
% 200.35/160.47 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.35/160.47 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.47 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.47 |
% 200.35/160.47 | From (343) and (342) follows:
% 200.35/160.47 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.47 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.47 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.47 |
% 200.35/160.47 | Instantiating (345) with all_1033_0_21003, all_1033_1_21004 yields:
% 200.35/160.47 | (4308) (all_1033_1_21004 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_21003 = 0) & greater_or_equal(all_1033_1_21004, all_33_1_35) = all_1033_0_21003 & end_time(all_33_4_38) = all_1033_1_21004) | ( ~ (all_1033_1_21004 = 0) & environment(all_33_4_38) = all_1033_1_21004)
% 200.35/160.47 |
% 200.35/160.47 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.47 |-Branch one:
% 200.35/160.47 | (3117) all_777_0_5721 = 0
% 200.35/160.47 |
% 200.35/160.47 | Equations (3117) can reduce 3122 to:
% 200.35/160.47 | (62) $false
% 200.35/160.47 |
% 200.35/160.47 |-The branch is then unsatisfiable
% 200.35/160.47 |-Branch two:
% 200.35/160.47 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.47 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.47 |
% 200.35/160.47 +-Applying beta-rule and splitting (4308), into two cases.
% 200.35/160.47 |-Branch one:
% 200.35/160.47 | (4313) (all_1033_1_21004 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_21003 = 0) & greater_or_equal(all_1033_1_21004, all_33_1_35) = all_1033_0_21003 & end_time(all_33_4_38) = all_1033_1_21004)
% 200.35/160.47 |
% 200.35/160.47 +-Applying beta-rule and splitting (4313), into two cases.
% 200.35/160.47 |-Branch one:
% 200.35/160.47 | (4314) all_1033_1_21004 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.47 |
% 200.35/160.47 | Applying alpha-rule on (4314) yields:
% 200.35/160.47 | (4315) all_1033_1_21004 = 0
% 200.35/160.47 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.47 | (3117) all_777_0_5721 = 0
% 200.35/160.47 |
% 200.35/160.47 | Equations (3117) can reduce 3122 to:
% 200.35/160.47 | (62) $false
% 200.35/160.47 |
% 200.35/160.47 |-The branch is then unsatisfiable
% 200.35/160.47 |-Branch two:
% 200.35/160.47 | (4319) ~ (all_1033_0_21003 = 0) & greater_or_equal(all_1033_1_21004, all_33_1_35) = all_1033_0_21003 & end_time(all_33_4_38) = all_1033_1_21004
% 200.35/160.47 |
% 200.35/160.47 | Applying alpha-rule on (4319) yields:
% 200.35/160.47 | (4320) ~ (all_1033_0_21003 = 0)
% 200.35/160.47 | (4321) greater_or_equal(all_1033_1_21004, all_33_1_35) = all_1033_0_21003
% 200.35/160.47 | (4322) end_time(all_33_4_38) = all_1033_1_21004
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (43) with all_33_4_38, all_1033_1_21004, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_21004, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.47 | (4323) all_1033_1_21004 = all_33_1_35
% 200.35/160.47 |
% 200.35/160.47 | From (4323) and (4321) follows:
% 200.35/160.47 | (4324) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_21003
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (34) with all_1033_0_21003, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_21003, yields:
% 200.35/160.47 | (4325) all_1033_0_21003 = 0
% 200.35/160.47 |
% 200.35/160.47 | Equations (4325) can reduce 4320 to:
% 200.35/160.47 | (62) $false
% 200.35/160.47 |
% 200.35/160.47 |-The branch is then unsatisfiable
% 200.35/160.47 |-Branch two:
% 200.35/160.47 | (4327) ~ (all_1033_1_21004 = 0) & environment(all_33_4_38) = all_1033_1_21004
% 200.35/160.47 |
% 200.35/160.47 | Applying alpha-rule on (4327) yields:
% 200.35/160.47 | (4328) ~ (all_1033_1_21004 = 0)
% 200.35/160.47 | (4329) environment(all_33_4_38) = all_1033_1_21004
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (35) with all_33_4_38, all_1033_1_21004, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_21004, environment(all_33_4_38) = 0, yields:
% 200.35/160.47 | (4315) all_1033_1_21004 = 0
% 200.35/160.47 |
% 200.35/160.47 | Equations (4315) can reduce 4328 to:
% 200.35/160.47 | (62) $false
% 200.35/160.47 |
% 200.35/160.47 |-The branch is then unsatisfiable
% 200.35/160.47 |-Branch two:
% 200.35/160.47 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.35/160.47 |
% 200.35/160.47 | Applying alpha-rule on (403) yields:
% 200.35/160.47 | (404) ~ (all_569_1_284 = 0)
% 200.35/160.47 | (405) environment(all_33_4_38) = all_569_1_284
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.35/160.47 | (406) all_569_1_284 = 0
% 200.35/160.47 |
% 200.35/160.47 | Equations (406) can reduce 404 to:
% 200.35/160.47 | (62) $false
% 200.35/160.47 |
% 200.35/160.47 |-The branch is then unsatisfiable
% 200.35/160.47 |-Branch two:
% 200.35/160.47 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.35/160.47 |
% 200.35/160.47 | Applying alpha-rule on (653) yields:
% 200.35/160.47 | (654) ~ (all_564_1_273 = 0)
% 200.35/160.47 | (655) environment(all_33_4_38) = all_564_1_273
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.35/160.47 | (656) all_564_1_273 = 0
% 200.35/160.47 |
% 200.35/160.47 | Equations (656) can reduce 654 to:
% 200.35/160.47 | (62) $false
% 200.35/160.47 |
% 200.35/160.47 |-The branch is then unsatisfiable
% 200.35/160.47 |-Branch two:
% 200.35/160.47 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.35/160.47 |
% 200.35/160.47 | Applying alpha-rule on (408) yields:
% 200.35/160.47 | (333) all_568_0_281 = 0
% 200.35/160.47 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 200.35/160.47 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.47 | (336) all_568_1_282 = all_33_1_35
% 200.35/160.47 |
% 200.35/160.47 | From (336) and (335) follows:
% 200.35/160.47 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.47 |
% 200.35/160.47 +-Applying beta-rule and splitting (276), into two cases.
% 200.35/160.47 |-Branch one:
% 200.35/160.47 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.35/160.47 |
% 200.35/160.47 +-Applying beta-rule and splitting (324), into two cases.
% 200.35/160.47 |-Branch one:
% 200.35/160.47 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.35/160.47 |
% 200.35/160.47 | Applying alpha-rule on (325) yields:
% 200.35/160.47 | (326) all_564_0_272 = 0
% 200.35/160.47 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.35/160.47 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.47 | (329) all_564_1_273 = all_33_1_35
% 200.35/160.47 |
% 200.35/160.47 | From (329) and (328) follows:
% 200.35/160.47 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.47 |
% 200.35/160.47 +-Applying beta-rule and splitting (278), into two cases.
% 200.35/160.47 |-Branch one:
% 200.35/160.47 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.35/160.47 |
% 200.35/160.47 +-Applying beta-rule and splitting (338), into two cases.
% 200.35/160.47 |-Branch one:
% 200.35/160.47 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.47 |
% 200.35/160.47 | Applying alpha-rule on (339) yields:
% 200.35/160.47 | (340) all_569_0_283 = 0
% 200.35/160.47 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.35/160.47 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.47 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.47 |
% 200.35/160.47 | From (343) and (342) follows:
% 200.35/160.47 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.47 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.47 |
% 200.35/160.47 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.47 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.47 |
% 200.35/160.47 | Instantiating (345) with all_1033_0_21547, all_1033_1_21548 yields:
% 200.35/160.47 | (4364) (all_1033_1_21548 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_21547 = 0) & greater_or_equal(all_1033_1_21548, all_33_1_35) = all_1033_0_21547 & end_time(all_33_4_38) = all_1033_1_21548) | ( ~ (all_1033_1_21548 = 0) & environment(all_33_4_38) = all_1033_1_21548)
% 200.35/160.47 |
% 200.35/160.47 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.47 |-Branch one:
% 200.35/160.47 | (3117) all_777_0_5721 = 0
% 200.35/160.47 |
% 200.35/160.47 | Equations (3117) can reduce 3122 to:
% 200.35/160.47 | (62) $false
% 200.35/160.47 |
% 200.35/160.47 |-The branch is then unsatisfiable
% 200.35/160.47 |-Branch two:
% 200.35/160.47 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.47 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.47 |
% 200.35/160.47 +-Applying beta-rule and splitting (4364), into two cases.
% 200.35/160.47 |-Branch one:
% 200.35/160.47 | (4369) (all_1033_1_21548 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_21547 = 0) & greater_or_equal(all_1033_1_21548, all_33_1_35) = all_1033_0_21547 & end_time(all_33_4_38) = all_1033_1_21548)
% 200.35/160.48 |
% 200.35/160.48 +-Applying beta-rule and splitting (4369), into two cases.
% 200.35/160.48 |-Branch one:
% 200.35/160.48 | (4370) all_1033_1_21548 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.48 |
% 200.35/160.48 | Applying alpha-rule on (4370) yields:
% 200.35/160.48 | (4371) all_1033_1_21548 = 0
% 200.35/160.48 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.48 | (3117) all_777_0_5721 = 0
% 200.35/160.48 |
% 200.35/160.48 | Equations (3117) can reduce 3122 to:
% 200.35/160.48 | (62) $false
% 200.35/160.48 |
% 200.35/160.48 |-The branch is then unsatisfiable
% 200.35/160.48 |-Branch two:
% 200.35/160.48 | (4375) ~ (all_1033_0_21547 = 0) & greater_or_equal(all_1033_1_21548, all_33_1_35) = all_1033_0_21547 & end_time(all_33_4_38) = all_1033_1_21548
% 200.35/160.48 |
% 200.35/160.48 | Applying alpha-rule on (4375) yields:
% 200.35/160.48 | (4376) ~ (all_1033_0_21547 = 0)
% 200.35/160.48 | (4377) greater_or_equal(all_1033_1_21548, all_33_1_35) = all_1033_0_21547
% 200.35/160.48 | (4378) end_time(all_33_4_38) = all_1033_1_21548
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (43) with all_33_4_38, all_1033_1_21548, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_21548, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.48 | (4379) all_1033_1_21548 = all_33_1_35
% 200.35/160.48 |
% 200.35/160.48 | From (4379) and (4377) follows:
% 200.35/160.48 | (4380) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_21547
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (34) with all_1033_0_21547, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_21547, yields:
% 200.35/160.48 | (4381) all_1033_0_21547 = 0
% 200.35/160.48 |
% 200.35/160.48 | Equations (4381) can reduce 4376 to:
% 200.35/160.48 | (62) $false
% 200.35/160.48 |
% 200.35/160.48 |-The branch is then unsatisfiable
% 200.35/160.48 |-Branch two:
% 200.35/160.48 | (4383) ~ (all_1033_1_21548 = 0) & environment(all_33_4_38) = all_1033_1_21548
% 200.35/160.48 |
% 200.35/160.48 | Applying alpha-rule on (4383) yields:
% 200.35/160.48 | (4384) ~ (all_1033_1_21548 = 0)
% 200.35/160.48 | (4385) environment(all_33_4_38) = all_1033_1_21548
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (35) with all_33_4_38, all_1033_1_21548, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_21548, environment(all_33_4_38) = 0, yields:
% 200.35/160.48 | (4371) all_1033_1_21548 = 0
% 200.35/160.48 |
% 200.35/160.48 | Equations (4371) can reduce 4384 to:
% 200.35/160.48 | (62) $false
% 200.35/160.48 |
% 200.35/160.48 |-The branch is then unsatisfiable
% 200.35/160.48 |-Branch two:
% 200.35/160.48 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.48 |
% 200.35/160.48 | Applying alpha-rule on (371) yields:
% 200.35/160.48 | (340) all_569_0_283 = 0
% 200.35/160.48 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.35/160.48 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.48 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.48 |
% 200.35/160.48 | From (343) and (342) follows:
% 200.35/160.48 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.48 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.48 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.48 |
% 200.35/160.48 | Instantiating (345) with all_1033_0_22091, all_1033_1_22092 yields:
% 200.35/160.48 | (4396) (all_1033_1_22092 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_22091 = 0) & greater_or_equal(all_1033_1_22092, all_33_1_35) = all_1033_0_22091 & end_time(all_33_4_38) = all_1033_1_22092) | ( ~ (all_1033_1_22092 = 0) & environment(all_33_4_38) = all_1033_1_22092)
% 200.35/160.48 |
% 200.35/160.48 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.48 |-Branch one:
% 200.35/160.48 | (3117) all_777_0_5721 = 0
% 200.35/160.48 |
% 200.35/160.48 | Equations (3117) can reduce 3122 to:
% 200.35/160.48 | (62) $false
% 200.35/160.48 |
% 200.35/160.48 |-The branch is then unsatisfiable
% 200.35/160.48 |-Branch two:
% 200.35/160.48 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.48 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.48 |
% 200.35/160.48 +-Applying beta-rule and splitting (4396), into two cases.
% 200.35/160.48 |-Branch one:
% 200.35/160.48 | (4401) (all_1033_1_22092 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_22091 = 0) & greater_or_equal(all_1033_1_22092, all_33_1_35) = all_1033_0_22091 & end_time(all_33_4_38) = all_1033_1_22092)
% 200.35/160.48 |
% 200.35/160.48 +-Applying beta-rule and splitting (4401), into two cases.
% 200.35/160.48 |-Branch one:
% 200.35/160.48 | (4402) all_1033_1_22092 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.48 |
% 200.35/160.48 | Applying alpha-rule on (4402) yields:
% 200.35/160.48 | (4403) all_1033_1_22092 = 0
% 200.35/160.48 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.48 | (3117) all_777_0_5721 = 0
% 200.35/160.48 |
% 200.35/160.48 | Equations (3117) can reduce 3122 to:
% 200.35/160.48 | (62) $false
% 200.35/160.48 |
% 200.35/160.48 |-The branch is then unsatisfiable
% 200.35/160.48 |-Branch two:
% 200.35/160.48 | (4407) ~ (all_1033_0_22091 = 0) & greater_or_equal(all_1033_1_22092, all_33_1_35) = all_1033_0_22091 & end_time(all_33_4_38) = all_1033_1_22092
% 200.35/160.48 |
% 200.35/160.48 | Applying alpha-rule on (4407) yields:
% 200.35/160.48 | (4408) ~ (all_1033_0_22091 = 0)
% 200.35/160.48 | (4409) greater_or_equal(all_1033_1_22092, all_33_1_35) = all_1033_0_22091
% 200.35/160.48 | (4410) end_time(all_33_4_38) = all_1033_1_22092
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (43) with all_33_4_38, all_1033_1_22092, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_22092, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.48 | (4411) all_1033_1_22092 = all_33_1_35
% 200.35/160.48 |
% 200.35/160.48 | From (4411) and (4409) follows:
% 200.35/160.48 | (4412) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_22091
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (34) with all_1033_0_22091, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_22091, yields:
% 200.35/160.48 | (4413) all_1033_0_22091 = 0
% 200.35/160.48 |
% 200.35/160.48 | Equations (4413) can reduce 4408 to:
% 200.35/160.48 | (62) $false
% 200.35/160.48 |
% 200.35/160.48 |-The branch is then unsatisfiable
% 200.35/160.48 |-Branch two:
% 200.35/160.48 | (4415) ~ (all_1033_1_22092 = 0) & environment(all_33_4_38) = all_1033_1_22092
% 200.35/160.48 |
% 200.35/160.48 | Applying alpha-rule on (4415) yields:
% 200.35/160.48 | (4416) ~ (all_1033_1_22092 = 0)
% 200.35/160.48 | (4417) environment(all_33_4_38) = all_1033_1_22092
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (35) with all_33_4_38, all_1033_1_22092, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_22092, environment(all_33_4_38) = 0, yields:
% 200.35/160.48 | (4403) all_1033_1_22092 = 0
% 200.35/160.48 |
% 200.35/160.48 | Equations (4403) can reduce 4416 to:
% 200.35/160.48 | (62) $false
% 200.35/160.48 |
% 200.35/160.48 |-The branch is then unsatisfiable
% 200.35/160.48 |-Branch two:
% 200.35/160.48 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.35/160.48 |
% 200.35/160.48 | Applying alpha-rule on (403) yields:
% 200.35/160.48 | (404) ~ (all_569_1_284 = 0)
% 200.35/160.48 | (405) environment(all_33_4_38) = all_569_1_284
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.35/160.48 | (406) all_569_1_284 = 0
% 200.35/160.48 |
% 200.35/160.48 | Equations (406) can reduce 404 to:
% 200.35/160.48 | (62) $false
% 200.35/160.48 |
% 200.35/160.48 |-The branch is then unsatisfiable
% 200.35/160.48 |-Branch two:
% 200.35/160.48 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.35/160.48 |
% 200.35/160.48 | Applying alpha-rule on (489) yields:
% 200.35/160.48 | (326) all_564_0_272 = 0
% 200.35/160.48 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 200.35/160.48 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.48 | (329) all_564_1_273 = all_33_1_35
% 200.35/160.48 |
% 200.35/160.48 | From (329) and (328) follows:
% 200.35/160.48 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.48 |
% 200.35/160.48 +-Applying beta-rule and splitting (278), into two cases.
% 200.35/160.48 |-Branch one:
% 200.35/160.48 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.35/160.48 |
% 200.35/160.48 +-Applying beta-rule and splitting (338), into two cases.
% 200.35/160.48 |-Branch one:
% 200.35/160.48 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.35/160.48 |
% 200.35/160.48 | Applying alpha-rule on (339) yields:
% 200.35/160.48 | (340) all_569_0_283 = 0
% 200.35/160.48 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.35/160.48 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.35/160.48 | (343) all_569_1_284 = all_33_1_35
% 200.35/160.48 |
% 200.35/160.48 | From (343) and (342) follows:
% 200.35/160.48 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.35/160.48 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.48 |
% 200.35/160.48 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.35/160.48 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.48 |
% 200.35/160.48 | Instantiating (345) with all_1033_0_22635, all_1033_1_22636 yields:
% 200.35/160.48 | (4440) (all_1033_1_22636 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_22635 = 0) & greater_or_equal(all_1033_1_22636, all_33_1_35) = all_1033_0_22635 & end_time(all_33_4_38) = all_1033_1_22636) | ( ~ (all_1033_1_22636 = 0) & environment(all_33_4_38) = all_1033_1_22636)
% 200.35/160.48 |
% 200.35/160.48 +-Applying beta-rule and splitting (3167), into two cases.
% 200.35/160.48 |-Branch one:
% 200.35/160.48 | (3117) all_777_0_5721 = 0
% 200.35/160.48 |
% 200.35/160.49 | Equations (3117) can reduce 3122 to:
% 200.35/160.49 | (62) $false
% 200.35/160.49 |
% 200.35/160.49 |-The branch is then unsatisfiable
% 200.35/160.49 |-Branch two:
% 200.35/160.49 | (3122) ~ (all_777_0_5721 = 0)
% 200.35/160.49 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.35/160.49 |
% 200.35/160.49 +-Applying beta-rule and splitting (4440), into two cases.
% 200.35/160.49 |-Branch one:
% 200.35/160.49 | (4445) (all_1033_1_22636 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_22635 = 0) & greater_or_equal(all_1033_1_22636, all_33_1_35) = all_1033_0_22635 & end_time(all_33_4_38) = all_1033_1_22636)
% 200.35/160.49 |
% 200.35/160.49 +-Applying beta-rule and splitting (4445), into two cases.
% 200.35/160.49 |-Branch one:
% 200.35/160.49 | (4446) all_1033_1_22636 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.49 |
% 200.35/160.49 | Applying alpha-rule on (4446) yields:
% 200.35/160.49 | (4447) all_1033_1_22636 = 0
% 200.35/160.49 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.35/160.49 |
% 200.35/160.49 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.35/160.49 | (3117) all_777_0_5721 = 0
% 200.35/160.49 |
% 200.35/160.49 | Equations (3117) can reduce 3122 to:
% 200.35/160.49 | (62) $false
% 200.35/160.49 |
% 200.35/160.49 |-The branch is then unsatisfiable
% 200.35/160.49 |-Branch two:
% 200.35/160.49 | (4451) ~ (all_1033_0_22635 = 0) & greater_or_equal(all_1033_1_22636, all_33_1_35) = all_1033_0_22635 & end_time(all_33_4_38) = all_1033_1_22636
% 200.35/160.49 |
% 200.35/160.49 | Applying alpha-rule on (4451) yields:
% 200.35/160.49 | (4452) ~ (all_1033_0_22635 = 0)
% 200.35/160.49 | (4453) greater_or_equal(all_1033_1_22636, all_33_1_35) = all_1033_0_22635
% 200.65/160.49 | (4454) end_time(all_33_4_38) = all_1033_1_22636
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (43) with all_33_4_38, all_1033_1_22636, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_22636, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.49 | (4455) all_1033_1_22636 = all_33_1_35
% 200.65/160.49 |
% 200.65/160.49 | From (4455) and (4453) follows:
% 200.65/160.49 | (4456) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_22635
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (34) with all_1033_0_22635, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_22635, yields:
% 200.65/160.49 | (4457) all_1033_0_22635 = 0
% 200.65/160.49 |
% 200.65/160.49 | Equations (4457) can reduce 4452 to:
% 200.65/160.49 | (62) $false
% 200.65/160.49 |
% 200.65/160.49 |-The branch is then unsatisfiable
% 200.65/160.49 |-Branch two:
% 200.65/160.49 | (4459) ~ (all_1033_1_22636 = 0) & environment(all_33_4_38) = all_1033_1_22636
% 200.65/160.49 |
% 200.65/160.49 | Applying alpha-rule on (4459) yields:
% 200.65/160.49 | (4460) ~ (all_1033_1_22636 = 0)
% 200.65/160.49 | (4461) environment(all_33_4_38) = all_1033_1_22636
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (35) with all_33_4_38, all_1033_1_22636, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_22636, environment(all_33_4_38) = 0, yields:
% 200.65/160.49 | (4447) all_1033_1_22636 = 0
% 200.65/160.49 |
% 200.65/160.49 | Equations (4447) can reduce 4460 to:
% 200.65/160.49 | (62) $false
% 200.65/160.49 |
% 200.65/160.49 |-The branch is then unsatisfiable
% 200.65/160.49 |-Branch two:
% 200.65/160.49 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.49 |
% 200.65/160.49 | Applying alpha-rule on (371) yields:
% 200.65/160.49 | (340) all_569_0_283 = 0
% 200.65/160.49 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.65/160.49 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.49 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.49 |
% 200.65/160.49 | From (343) and (342) follows:
% 200.65/160.49 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.49 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.49 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.49 |
% 200.65/160.49 | Instantiating (345) with all_1033_0_23179, all_1033_1_23180 yields:
% 200.65/160.49 | (4472) (all_1033_1_23180 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_23179 = 0) & greater_or_equal(all_1033_1_23180, all_33_1_35) = all_1033_0_23179 & end_time(all_33_4_38) = all_1033_1_23180) | ( ~ (all_1033_1_23180 = 0) & environment(all_33_4_38) = all_1033_1_23180)
% 200.65/160.49 |
% 200.65/160.49 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.49 |-Branch one:
% 200.65/160.49 | (3117) all_777_0_5721 = 0
% 200.65/160.49 |
% 200.65/160.49 | Equations (3117) can reduce 3122 to:
% 200.65/160.49 | (62) $false
% 200.65/160.49 |
% 200.65/160.49 |-The branch is then unsatisfiable
% 200.65/160.49 |-Branch two:
% 200.65/160.49 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.49 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.49 |
% 200.65/160.49 +-Applying beta-rule and splitting (4472), into two cases.
% 200.65/160.49 |-Branch one:
% 200.65/160.49 | (4477) (all_1033_1_23180 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_23179 = 0) & greater_or_equal(all_1033_1_23180, all_33_1_35) = all_1033_0_23179 & end_time(all_33_4_38) = all_1033_1_23180)
% 200.65/160.49 |
% 200.65/160.49 +-Applying beta-rule and splitting (4477), into two cases.
% 200.65/160.49 |-Branch one:
% 200.65/160.49 | (4478) all_1033_1_23180 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.49 |
% 200.65/160.49 | Applying alpha-rule on (4478) yields:
% 200.65/160.49 | (4479) all_1033_1_23180 = 0
% 200.65/160.49 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.49 | (3117) all_777_0_5721 = 0
% 200.65/160.49 |
% 200.65/160.49 | Equations (3117) can reduce 3122 to:
% 200.65/160.49 | (62) $false
% 200.65/160.49 |
% 200.65/160.49 |-The branch is then unsatisfiable
% 200.65/160.49 |-Branch two:
% 200.65/160.49 | (4483) ~ (all_1033_0_23179 = 0) & greater_or_equal(all_1033_1_23180, all_33_1_35) = all_1033_0_23179 & end_time(all_33_4_38) = all_1033_1_23180
% 200.65/160.49 |
% 200.65/160.49 | Applying alpha-rule on (4483) yields:
% 200.65/160.49 | (4484) ~ (all_1033_0_23179 = 0)
% 200.65/160.49 | (4485) greater_or_equal(all_1033_1_23180, all_33_1_35) = all_1033_0_23179
% 200.65/160.49 | (4486) end_time(all_33_4_38) = all_1033_1_23180
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (43) with all_33_4_38, all_1033_1_23180, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_23180, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.49 | (4487) all_1033_1_23180 = all_33_1_35
% 200.65/160.49 |
% 200.65/160.49 | From (4487) and (4485) follows:
% 200.65/160.49 | (4488) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_23179
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (34) with all_1033_0_23179, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_23179, yields:
% 200.65/160.49 | (4489) all_1033_0_23179 = 0
% 200.65/160.49 |
% 200.65/160.49 | Equations (4489) can reduce 4484 to:
% 200.65/160.49 | (62) $false
% 200.65/160.49 |
% 200.65/160.49 |-The branch is then unsatisfiable
% 200.65/160.49 |-Branch two:
% 200.65/160.49 | (4491) ~ (all_1033_1_23180 = 0) & environment(all_33_4_38) = all_1033_1_23180
% 200.65/160.49 |
% 200.65/160.49 | Applying alpha-rule on (4491) yields:
% 200.65/160.49 | (4492) ~ (all_1033_1_23180 = 0)
% 200.65/160.49 | (4493) environment(all_33_4_38) = all_1033_1_23180
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (35) with all_33_4_38, all_1033_1_23180, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_23180, environment(all_33_4_38) = 0, yields:
% 200.65/160.49 | (4479) all_1033_1_23180 = 0
% 200.65/160.49 |
% 200.65/160.49 | Equations (4479) can reduce 4492 to:
% 200.65/160.49 | (62) $false
% 200.65/160.49 |
% 200.65/160.49 |-The branch is then unsatisfiable
% 200.65/160.49 |-Branch two:
% 200.65/160.49 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.65/160.49 |
% 200.65/160.49 | Applying alpha-rule on (403) yields:
% 200.65/160.49 | (404) ~ (all_569_1_284 = 0)
% 200.65/160.49 | (405) environment(all_33_4_38) = all_569_1_284
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.65/160.49 | (406) all_569_1_284 = 0
% 200.65/160.49 |
% 200.65/160.49 | Equations (406) can reduce 404 to:
% 200.65/160.49 | (62) $false
% 200.65/160.49 |
% 200.65/160.49 |-The branch is then unsatisfiable
% 200.65/160.49 |-Branch two:
% 200.65/160.49 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.65/160.49 |
% 200.65/160.49 | Applying alpha-rule on (653) yields:
% 200.65/160.49 | (654) ~ (all_564_1_273 = 0)
% 200.65/160.49 | (655) environment(all_33_4_38) = all_564_1_273
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.65/160.49 | (656) all_564_1_273 = 0
% 200.65/160.49 |
% 200.65/160.49 | Equations (656) can reduce 654 to:
% 200.65/160.49 | (62) $false
% 200.65/160.49 |
% 200.65/160.49 |-The branch is then unsatisfiable
% 200.65/160.49 |-Branch two:
% 200.65/160.49 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 200.65/160.49 |
% 200.65/160.49 | Applying alpha-rule on (484) yields:
% 200.65/160.49 | (485) ~ (all_568_1_282 = 0)
% 200.65/160.49 | (486) environment(all_33_4_38) = all_568_1_282
% 200.65/160.49 |
% 200.65/160.49 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 200.65/160.49 | (487) all_568_1_282 = 0
% 200.65/160.49 |
% 200.65/160.49 | Equations (487) can reduce 485 to:
% 200.65/160.49 | (62) $false
% 200.65/160.49 |
% 200.65/160.49 |-The branch is then unsatisfiable
% 200.65/160.49 |-Branch two:
% 200.65/160.49 | (3096) ~ (all_554_1_250 = 0) & environment(all_33_4_38) = all_554_1_250
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (3096) yields:
% 200.65/160.50 | (3097) ~ (all_554_1_250 = 0)
% 200.65/160.50 | (3098) environment(all_33_4_38) = all_554_1_250
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (35) with all_33_4_38, all_554_1_250, 0 and discharging atoms environment(all_33_4_38) = all_554_1_250, environment(all_33_4_38) = 0, yields:
% 200.65/160.50 | (3099) all_554_1_250 = 0
% 200.65/160.50 |
% 200.65/160.50 | Equations (3099) can reduce 3097 to:
% 200.65/160.50 | (62) $false
% 200.65/160.50 |
% 200.65/160.50 |-The branch is then unsatisfiable
% 200.65/160.50 |-Branch two:
% 200.65/160.50 | (998) ~ (all_559_1_262 = 0) & environment(all_33_4_38) = all_559_1_262
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (998) yields:
% 200.65/160.50 | (999) ~ (all_559_1_262 = 0)
% 200.65/160.50 | (1000) environment(all_33_4_38) = all_559_1_262
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (35) with all_33_4_38, all_559_1_262, 0 and discharging atoms environment(all_33_4_38) = all_559_1_262, environment(all_33_4_38) = 0, yields:
% 200.65/160.50 | (1001) all_559_1_262 = 0
% 200.65/160.50 |
% 200.65/160.50 | Equations (1001) can reduce 999 to:
% 200.65/160.50 | (62) $false
% 200.65/160.50 |
% 200.65/160.50 |-The branch is then unsatisfiable
% 200.65/160.50 |-Branch two:
% 200.65/160.50 | (1003) all_557_0_257 = 0 & greater(all_135_2_141, all_557_1_258) = 0 & end_time(all_33_4_38) = all_557_1_258
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (1003) yields:
% 200.65/160.50 | (312) all_557_0_257 = 0
% 200.65/160.50 | (1005) greater(all_135_2_141, all_557_1_258) = 0
% 200.65/160.50 | (314) end_time(all_33_4_38) = all_557_1_258
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (3109), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (3115) (all_777_0_5721 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_777_0_5721 = 0) & environment(all_33_4_38) = all_777_0_5721)
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (3115), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (3116) all_777_0_5721 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (3116) yields:
% 200.65/160.50 | (3117) all_777_0_5721 = 0
% 200.65/160.50 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 200.65/160.50 | (109) all_33_0_34 = 0
% 200.65/160.50 |
% 200.65/160.50 | Equations (109) can reduce 72 to:
% 200.65/160.50 | (62) $false
% 200.65/160.50 |
% 200.65/160.50 |-The branch is then unsatisfiable
% 200.65/160.50 |-Branch two:
% 200.65/160.50 | (3121) ~ (all_777_0_5721 = 0) & environment(all_33_4_38) = all_777_0_5721
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (3121) yields:
% 200.65/160.50 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.50 | (3123) environment(all_33_4_38) = all_777_0_5721
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (35) with all_33_4_38, all_777_0_5721, 0 and discharging atoms environment(all_33_4_38) = all_777_0_5721, environment(all_33_4_38) = 0, yields:
% 200.65/160.50 | (3117) all_777_0_5721 = 0
% 200.65/160.50 |
% 200.65/160.50 | Equations (3117) can reduce 3122 to:
% 200.65/160.50 | (62) $false
% 200.65/160.50 |
% 200.65/160.50 |-The branch is then unsatisfiable
% 200.65/160.50 |-Branch two:
% 200.65/160.50 | (3126) ~ (all_777_0_5721 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (3126) yields:
% 200.65/160.50 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.50 | (3128) in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (43) with all_33_4_38, all_557_1_258, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_557_1_258, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.50 | (315) all_557_1_258 = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 | From (315) and (314) follows:
% 200.65/160.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (275), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (317) (all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262) | (all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262)
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (317), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (318) all_559_0_261 = 0 & greater_or_equal(all_559_1_262, all_60_2_75) = 0 & end_time(all_33_4_38) = all_559_1_262
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (318) yields:
% 200.65/160.50 | (319) all_559_0_261 = 0
% 200.65/160.50 | (320) greater_or_equal(all_559_1_262, all_60_2_75) = 0
% 200.65/160.50 | (321) end_time(all_33_4_38) = all_559_1_262
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.50 | (322) all_559_1_262 = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 | From (322) and (321) follows:
% 200.65/160.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (273), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (303) (all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250) | (all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250)
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (303), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (304) all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (304) yields:
% 200.65/160.50 | (305) all_554_0_249 = 0
% 200.65/160.50 | (306) greater_or_equal(all_554_1_250, all_114_2_98) = 0
% 200.65/160.50 | (307) end_time(all_33_4_38) = all_554_1_250
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (43) with all_33_4_38, all_554_1_250, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_554_1_250, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.50 | (308) all_554_1_250 = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 | From (308) and (307) follows:
% 200.65/160.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (277), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (331), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (332) yields:
% 200.65/160.50 | (333) all_568_0_281 = 0
% 200.65/160.50 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 200.65/160.50 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.50 | (336) all_568_1_282 = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 | From (336) and (335) follows:
% 200.65/160.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (276), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (324), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (325) yields:
% 200.65/160.50 | (326) all_564_0_272 = 0
% 200.65/160.50 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.65/160.50 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.50 | (329) all_564_1_273 = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 | From (329) and (328) follows:
% 200.65/160.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (278), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (338), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (339) yields:
% 200.65/160.50 | (340) all_569_0_283 = 0
% 200.65/160.50 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.65/160.50 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.50 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 | From (343) and (342) follows:
% 200.65/160.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.50 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.50 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.50 |
% 200.65/160.50 | Instantiating (345) with all_1033_0_23783, all_1033_1_23784 yields:
% 200.65/160.50 | (4578) (all_1033_1_23784 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_23783 = 0) & greater_or_equal(all_1033_1_23784, all_33_1_35) = all_1033_0_23783 & end_time(all_33_4_38) = all_1033_1_23784) | ( ~ (all_1033_1_23784 = 0) & environment(all_33_4_38) = all_1033_1_23784)
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (3117) all_777_0_5721 = 0
% 200.65/160.50 |
% 200.65/160.50 | Equations (3117) can reduce 3122 to:
% 200.65/160.50 | (62) $false
% 200.65/160.50 |
% 200.65/160.50 |-The branch is then unsatisfiable
% 200.65/160.50 |-Branch two:
% 200.65/160.50 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.50 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (4578), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (4583) (all_1033_1_23784 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_23783 = 0) & greater_or_equal(all_1033_1_23784, all_33_1_35) = all_1033_0_23783 & end_time(all_33_4_38) = all_1033_1_23784)
% 200.65/160.50 |
% 200.65/160.50 +-Applying beta-rule and splitting (4583), into two cases.
% 200.65/160.50 |-Branch one:
% 200.65/160.50 | (4584) all_1033_1_23784 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (4584) yields:
% 200.65/160.50 | (4585) all_1033_1_23784 = 0
% 200.65/160.50 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.50 | (3117) all_777_0_5721 = 0
% 200.65/160.50 |
% 200.65/160.50 | Equations (3117) can reduce 3122 to:
% 200.65/160.50 | (62) $false
% 200.65/160.50 |
% 200.65/160.50 |-The branch is then unsatisfiable
% 200.65/160.50 |-Branch two:
% 200.65/160.50 | (4589) ~ (all_1033_0_23783 = 0) & greater_or_equal(all_1033_1_23784, all_33_1_35) = all_1033_0_23783 & end_time(all_33_4_38) = all_1033_1_23784
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (4589) yields:
% 200.65/160.50 | (4590) ~ (all_1033_0_23783 = 0)
% 200.65/160.50 | (4591) greater_or_equal(all_1033_1_23784, all_33_1_35) = all_1033_0_23783
% 200.65/160.50 | (4592) end_time(all_33_4_38) = all_1033_1_23784
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (43) with all_33_4_38, all_1033_1_23784, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_23784, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.50 | (4593) all_1033_1_23784 = all_33_1_35
% 200.65/160.50 |
% 200.65/160.50 | From (4593) and (4591) follows:
% 200.65/160.50 | (4594) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_23783
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (34) with all_1033_0_23783, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_23783, yields:
% 200.65/160.50 | (4595) all_1033_0_23783 = 0
% 200.65/160.50 |
% 200.65/160.50 | Equations (4595) can reduce 4590 to:
% 200.65/160.50 | (62) $false
% 200.65/160.50 |
% 200.65/160.50 |-The branch is then unsatisfiable
% 200.65/160.50 |-Branch two:
% 200.65/160.50 | (4597) ~ (all_1033_1_23784 = 0) & environment(all_33_4_38) = all_1033_1_23784
% 200.65/160.50 |
% 200.65/160.50 | Applying alpha-rule on (4597) yields:
% 200.65/160.50 | (4598) ~ (all_1033_1_23784 = 0)
% 200.65/160.50 | (4599) environment(all_33_4_38) = all_1033_1_23784
% 200.65/160.50 |
% 200.65/160.50 | Instantiating formula (35) with all_33_4_38, all_1033_1_23784, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_23784, environment(all_33_4_38) = 0, yields:
% 200.65/160.50 | (4585) all_1033_1_23784 = 0
% 200.65/160.50 |
% 200.65/160.50 | Equations (4585) can reduce 4598 to:
% 200.65/160.50 | (62) $false
% 200.65/160.50 |
% 200.65/160.50 |-The branch is then unsatisfiable
% 200.65/160.51 |-Branch two:
% 200.65/160.51 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.51 |
% 200.65/160.51 | Applying alpha-rule on (371) yields:
% 200.65/160.51 | (340) all_569_0_283 = 0
% 200.65/160.51 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.65/160.51 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.51 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.51 |
% 200.65/160.51 | From (343) and (342) follows:
% 200.65/160.51 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.51 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.51 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.51 |
% 200.65/160.51 | Instantiating (345) with all_1033_0_24327, all_1033_1_24328 yields:
% 200.65/160.51 | (4610) (all_1033_1_24328 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_24327 = 0) & greater_or_equal(all_1033_1_24328, all_33_1_35) = all_1033_0_24327 & end_time(all_33_4_38) = all_1033_1_24328) | ( ~ (all_1033_1_24328 = 0) & environment(all_33_4_38) = all_1033_1_24328)
% 200.65/160.51 |
% 200.65/160.51 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.51 |-Branch one:
% 200.65/160.51 | (3117) all_777_0_5721 = 0
% 200.65/160.51 |
% 200.65/160.51 | Equations (3117) can reduce 3122 to:
% 200.65/160.51 | (62) $false
% 200.65/160.51 |
% 200.65/160.51 |-The branch is then unsatisfiable
% 200.65/160.51 |-Branch two:
% 200.65/160.51 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.51 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.51 |
% 200.65/160.51 +-Applying beta-rule and splitting (4610), into two cases.
% 200.65/160.51 |-Branch one:
% 200.65/160.51 | (4615) (all_1033_1_24328 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_24327 = 0) & greater_or_equal(all_1033_1_24328, all_33_1_35) = all_1033_0_24327 & end_time(all_33_4_38) = all_1033_1_24328)
% 200.65/160.51 |
% 200.65/160.51 +-Applying beta-rule and splitting (4615), into two cases.
% 200.65/160.51 |-Branch one:
% 200.65/160.51 | (4616) all_1033_1_24328 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.51 |
% 200.65/160.51 | Applying alpha-rule on (4616) yields:
% 200.65/160.51 | (4617) all_1033_1_24328 = 0
% 200.65/160.51 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.51 | (3117) all_777_0_5721 = 0
% 200.65/160.51 |
% 200.65/160.51 | Equations (3117) can reduce 3122 to:
% 200.65/160.51 | (62) $false
% 200.65/160.51 |
% 200.65/160.51 |-The branch is then unsatisfiable
% 200.65/160.51 |-Branch two:
% 200.65/160.51 | (4621) ~ (all_1033_0_24327 = 0) & greater_or_equal(all_1033_1_24328, all_33_1_35) = all_1033_0_24327 & end_time(all_33_4_38) = all_1033_1_24328
% 200.65/160.51 |
% 200.65/160.51 | Applying alpha-rule on (4621) yields:
% 200.65/160.51 | (4622) ~ (all_1033_0_24327 = 0)
% 200.65/160.51 | (4623) greater_or_equal(all_1033_1_24328, all_33_1_35) = all_1033_0_24327
% 200.65/160.51 | (4624) end_time(all_33_4_38) = all_1033_1_24328
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (43) with all_33_4_38, all_1033_1_24328, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_24328, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.51 | (4625) all_1033_1_24328 = all_33_1_35
% 200.65/160.51 |
% 200.65/160.51 | From (4625) and (4623) follows:
% 200.65/160.51 | (4626) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_24327
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (34) with all_1033_0_24327, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_24327, yields:
% 200.65/160.51 | (4627) all_1033_0_24327 = 0
% 200.65/160.51 |
% 200.65/160.51 | Equations (4627) can reduce 4622 to:
% 200.65/160.51 | (62) $false
% 200.65/160.51 |
% 200.65/160.51 |-The branch is then unsatisfiable
% 200.65/160.51 |-Branch two:
% 200.65/160.51 | (4629) ~ (all_1033_1_24328 = 0) & environment(all_33_4_38) = all_1033_1_24328
% 200.65/160.51 |
% 200.65/160.51 | Applying alpha-rule on (4629) yields:
% 200.65/160.51 | (4630) ~ (all_1033_1_24328 = 0)
% 200.65/160.51 | (4631) environment(all_33_4_38) = all_1033_1_24328
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (35) with all_33_4_38, all_1033_1_24328, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_24328, environment(all_33_4_38) = 0, yields:
% 200.65/160.51 | (4617) all_1033_1_24328 = 0
% 200.65/160.51 |
% 200.65/160.51 | Equations (4617) can reduce 4630 to:
% 200.65/160.51 | (62) $false
% 200.65/160.51 |
% 200.65/160.51 |-The branch is then unsatisfiable
% 200.65/160.51 |-Branch two:
% 200.65/160.51 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.65/160.51 |
% 200.65/160.51 | Applying alpha-rule on (403) yields:
% 200.65/160.51 | (404) ~ (all_569_1_284 = 0)
% 200.65/160.51 | (405) environment(all_33_4_38) = all_569_1_284
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.65/160.51 | (406) all_569_1_284 = 0
% 200.65/160.51 |
% 200.65/160.51 | Equations (406) can reduce 404 to:
% 200.65/160.51 | (62) $false
% 200.65/160.51 |
% 200.65/160.51 |-The branch is then unsatisfiable
% 200.65/160.51 |-Branch two:
% 200.65/160.51 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.65/160.51 |
% 200.65/160.51 | Applying alpha-rule on (489) yields:
% 200.65/160.51 | (326) all_564_0_272 = 0
% 200.65/160.51 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 200.65/160.51 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.51 | (329) all_564_1_273 = all_33_1_35
% 200.65/160.51 |
% 200.65/160.51 | From (329) and (328) follows:
% 200.65/160.51 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.51 |
% 200.65/160.51 +-Applying beta-rule and splitting (278), into two cases.
% 200.65/160.51 |-Branch one:
% 200.65/160.51 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.65/160.51 |
% 200.65/160.51 +-Applying beta-rule and splitting (338), into two cases.
% 200.65/160.51 |-Branch one:
% 200.65/160.51 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.51 |
% 200.65/160.51 | Applying alpha-rule on (339) yields:
% 200.65/160.51 | (340) all_569_0_283 = 0
% 200.65/160.51 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.65/160.51 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.51 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.51 |
% 200.65/160.51 | From (343) and (342) follows:
% 200.65/160.51 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.51 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.51 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.51 |
% 200.65/160.51 | Instantiating (345) with all_1033_0_24871, all_1033_1_24872 yields:
% 200.65/160.51 | (4654) (all_1033_1_24872 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_24871 = 0) & greater_or_equal(all_1033_1_24872, all_33_1_35) = all_1033_0_24871 & end_time(all_33_4_38) = all_1033_1_24872) | ( ~ (all_1033_1_24872 = 0) & environment(all_33_4_38) = all_1033_1_24872)
% 200.65/160.51 |
% 200.65/160.51 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.51 |-Branch one:
% 200.65/160.51 | (3117) all_777_0_5721 = 0
% 200.65/160.51 |
% 200.65/160.51 | Equations (3117) can reduce 3122 to:
% 200.65/160.51 | (62) $false
% 200.65/160.51 |
% 200.65/160.51 |-The branch is then unsatisfiable
% 200.65/160.51 |-Branch two:
% 200.65/160.51 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.51 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.51 |
% 200.65/160.51 +-Applying beta-rule and splitting (4654), into two cases.
% 200.65/160.51 |-Branch one:
% 200.65/160.51 | (4659) (all_1033_1_24872 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_24871 = 0) & greater_or_equal(all_1033_1_24872, all_33_1_35) = all_1033_0_24871 & end_time(all_33_4_38) = all_1033_1_24872)
% 200.65/160.51 |
% 200.65/160.51 +-Applying beta-rule and splitting (4659), into two cases.
% 200.65/160.51 |-Branch one:
% 200.65/160.51 | (4660) all_1033_1_24872 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.51 |
% 200.65/160.51 | Applying alpha-rule on (4660) yields:
% 200.65/160.51 | (4661) all_1033_1_24872 = 0
% 200.65/160.51 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.51 | (3117) all_777_0_5721 = 0
% 200.65/160.51 |
% 200.65/160.51 | Equations (3117) can reduce 3122 to:
% 200.65/160.51 | (62) $false
% 200.65/160.51 |
% 200.65/160.51 |-The branch is then unsatisfiable
% 200.65/160.51 |-Branch two:
% 200.65/160.51 | (4665) ~ (all_1033_0_24871 = 0) & greater_or_equal(all_1033_1_24872, all_33_1_35) = all_1033_0_24871 & end_time(all_33_4_38) = all_1033_1_24872
% 200.65/160.51 |
% 200.65/160.51 | Applying alpha-rule on (4665) yields:
% 200.65/160.51 | (4666) ~ (all_1033_0_24871 = 0)
% 200.65/160.51 | (4667) greater_or_equal(all_1033_1_24872, all_33_1_35) = all_1033_0_24871
% 200.65/160.51 | (4668) end_time(all_33_4_38) = all_1033_1_24872
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (43) with all_33_4_38, all_1033_1_24872, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_24872, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.51 | (4669) all_1033_1_24872 = all_33_1_35
% 200.65/160.51 |
% 200.65/160.51 | From (4669) and (4667) follows:
% 200.65/160.51 | (4670) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_24871
% 200.65/160.51 |
% 200.65/160.51 | Instantiating formula (34) with all_1033_0_24871, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_24871, yields:
% 200.65/160.51 | (4671) all_1033_0_24871 = 0
% 200.65/160.51 |
% 200.65/160.51 | Equations (4671) can reduce 4666 to:
% 200.65/160.51 | (62) $false
% 200.65/160.51 |
% 200.65/160.51 |-The branch is then unsatisfiable
% 200.65/160.51 |-Branch two:
% 200.65/160.52 | (4673) ~ (all_1033_1_24872 = 0) & environment(all_33_4_38) = all_1033_1_24872
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (4673) yields:
% 200.65/160.52 | (4674) ~ (all_1033_1_24872 = 0)
% 200.65/160.52 | (4675) environment(all_33_4_38) = all_1033_1_24872
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (35) with all_33_4_38, all_1033_1_24872, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_24872, environment(all_33_4_38) = 0, yields:
% 200.65/160.52 | (4661) all_1033_1_24872 = 0
% 200.65/160.52 |
% 200.65/160.52 | Equations (4661) can reduce 4674 to:
% 200.65/160.52 | (62) $false
% 200.65/160.52 |
% 200.65/160.52 |-The branch is then unsatisfiable
% 200.65/160.52 |-Branch two:
% 200.65/160.52 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (371) yields:
% 200.65/160.52 | (340) all_569_0_283 = 0
% 200.65/160.52 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.65/160.52 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.52 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.52 |
% 200.65/160.52 | From (343) and (342) follows:
% 200.65/160.52 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.52 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.52 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.52 |
% 200.65/160.52 | Instantiating (345) with all_1033_0_25415, all_1033_1_25416 yields:
% 200.65/160.52 | (4686) (all_1033_1_25416 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_25415 = 0) & greater_or_equal(all_1033_1_25416, all_33_1_35) = all_1033_0_25415 & end_time(all_33_4_38) = all_1033_1_25416) | ( ~ (all_1033_1_25416 = 0) & environment(all_33_4_38) = all_1033_1_25416)
% 200.65/160.52 |
% 200.65/160.52 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.52 |-Branch one:
% 200.65/160.52 | (3117) all_777_0_5721 = 0
% 200.65/160.52 |
% 200.65/160.52 | Equations (3117) can reduce 3122 to:
% 200.65/160.52 | (62) $false
% 200.65/160.52 |
% 200.65/160.52 |-The branch is then unsatisfiable
% 200.65/160.52 |-Branch two:
% 200.65/160.52 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.52 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.52 |
% 200.65/160.52 +-Applying beta-rule and splitting (4686), into two cases.
% 200.65/160.52 |-Branch one:
% 200.65/160.52 | (4691) (all_1033_1_25416 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_25415 = 0) & greater_or_equal(all_1033_1_25416, all_33_1_35) = all_1033_0_25415 & end_time(all_33_4_38) = all_1033_1_25416)
% 200.65/160.52 |
% 200.65/160.52 +-Applying beta-rule and splitting (4691), into two cases.
% 200.65/160.52 |-Branch one:
% 200.65/160.52 | (4692) all_1033_1_25416 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (4692) yields:
% 200.65/160.52 | (4693) all_1033_1_25416 = 0
% 200.65/160.52 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.52 | (3117) all_777_0_5721 = 0
% 200.65/160.52 |
% 200.65/160.52 | Equations (3117) can reduce 3122 to:
% 200.65/160.52 | (62) $false
% 200.65/160.52 |
% 200.65/160.52 |-The branch is then unsatisfiable
% 200.65/160.52 |-Branch two:
% 200.65/160.52 | (4697) ~ (all_1033_0_25415 = 0) & greater_or_equal(all_1033_1_25416, all_33_1_35) = all_1033_0_25415 & end_time(all_33_4_38) = all_1033_1_25416
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (4697) yields:
% 200.65/160.52 | (4698) ~ (all_1033_0_25415 = 0)
% 200.65/160.52 | (4699) greater_or_equal(all_1033_1_25416, all_33_1_35) = all_1033_0_25415
% 200.65/160.52 | (4700) end_time(all_33_4_38) = all_1033_1_25416
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (43) with all_33_4_38, all_1033_1_25416, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_25416, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.52 | (4701) all_1033_1_25416 = all_33_1_35
% 200.65/160.52 |
% 200.65/160.52 | From (4701) and (4699) follows:
% 200.65/160.52 | (4702) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_25415
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (34) with all_1033_0_25415, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_25415, yields:
% 200.65/160.52 | (4703) all_1033_0_25415 = 0
% 200.65/160.52 |
% 200.65/160.52 | Equations (4703) can reduce 4698 to:
% 200.65/160.52 | (62) $false
% 200.65/160.52 |
% 200.65/160.52 |-The branch is then unsatisfiable
% 200.65/160.52 |-Branch two:
% 200.65/160.52 | (4705) ~ (all_1033_1_25416 = 0) & environment(all_33_4_38) = all_1033_1_25416
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (4705) yields:
% 200.65/160.52 | (4706) ~ (all_1033_1_25416 = 0)
% 200.65/160.52 | (4707) environment(all_33_4_38) = all_1033_1_25416
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (35) with all_33_4_38, all_1033_1_25416, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_25416, environment(all_33_4_38) = 0, yields:
% 200.65/160.52 | (4693) all_1033_1_25416 = 0
% 200.65/160.52 |
% 200.65/160.52 | Equations (4693) can reduce 4706 to:
% 200.65/160.52 | (62) $false
% 200.65/160.52 |
% 200.65/160.52 |-The branch is then unsatisfiable
% 200.65/160.52 |-Branch two:
% 200.65/160.52 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (403) yields:
% 200.65/160.52 | (404) ~ (all_569_1_284 = 0)
% 200.65/160.52 | (405) environment(all_33_4_38) = all_569_1_284
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.65/160.52 | (406) all_569_1_284 = 0
% 200.65/160.52 |
% 200.65/160.52 | Equations (406) can reduce 404 to:
% 200.65/160.52 | (62) $false
% 200.65/160.52 |
% 200.65/160.52 |-The branch is then unsatisfiable
% 200.65/160.52 |-Branch two:
% 200.65/160.52 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (653) yields:
% 200.65/160.52 | (654) ~ (all_564_1_273 = 0)
% 200.65/160.52 | (655) environment(all_33_4_38) = all_564_1_273
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.65/160.52 | (656) all_564_1_273 = 0
% 200.65/160.52 |
% 200.65/160.52 | Equations (656) can reduce 654 to:
% 200.65/160.52 | (62) $false
% 200.65/160.52 |
% 200.65/160.52 |-The branch is then unsatisfiable
% 200.65/160.52 |-Branch two:
% 200.65/160.52 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (408) yields:
% 200.65/160.52 | (333) all_568_0_281 = 0
% 200.65/160.52 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 200.65/160.52 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.52 | (336) all_568_1_282 = all_33_1_35
% 200.65/160.52 |
% 200.65/160.52 | From (336) and (335) follows:
% 200.65/160.52 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.52 |
% 200.65/160.52 +-Applying beta-rule and splitting (276), into two cases.
% 200.65/160.52 |-Branch one:
% 200.65/160.52 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.65/160.52 |
% 200.65/160.52 +-Applying beta-rule and splitting (324), into two cases.
% 200.65/160.52 |-Branch one:
% 200.65/160.52 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (325) yields:
% 200.65/160.52 | (326) all_564_0_272 = 0
% 200.65/160.52 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.65/160.52 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.52 | (329) all_564_1_273 = all_33_1_35
% 200.65/160.52 |
% 200.65/160.52 | From (329) and (328) follows:
% 200.65/160.52 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.52 |
% 200.65/160.52 +-Applying beta-rule and splitting (278), into two cases.
% 200.65/160.52 |-Branch one:
% 200.65/160.52 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.65/160.52 |
% 200.65/160.52 +-Applying beta-rule and splitting (338), into two cases.
% 200.65/160.52 |-Branch one:
% 200.65/160.52 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (339) yields:
% 200.65/160.52 | (340) all_569_0_283 = 0
% 200.65/160.52 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.65/160.52 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.52 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.52 |
% 200.65/160.52 | From (343) and (342) follows:
% 200.65/160.52 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.52 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.52 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.52 |
% 200.65/160.52 | Instantiating (345) with all_1033_0_25959, all_1033_1_25960 yields:
% 200.65/160.52 | (4742) (all_1033_1_25960 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_25959 = 0) & greater_or_equal(all_1033_1_25960, all_33_1_35) = all_1033_0_25959 & end_time(all_33_4_38) = all_1033_1_25960) | ( ~ (all_1033_1_25960 = 0) & environment(all_33_4_38) = all_1033_1_25960)
% 200.65/160.52 |
% 200.65/160.52 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.52 |-Branch one:
% 200.65/160.52 | (3117) all_777_0_5721 = 0
% 200.65/160.52 |
% 200.65/160.52 | Equations (3117) can reduce 3122 to:
% 200.65/160.52 | (62) $false
% 200.65/160.52 |
% 200.65/160.52 |-The branch is then unsatisfiable
% 200.65/160.52 |-Branch two:
% 200.65/160.52 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.52 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.52 |
% 200.65/160.52 +-Applying beta-rule and splitting (4742), into two cases.
% 200.65/160.52 |-Branch one:
% 200.65/160.52 | (4747) (all_1033_1_25960 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_25959 = 0) & greater_or_equal(all_1033_1_25960, all_33_1_35) = all_1033_0_25959 & end_time(all_33_4_38) = all_1033_1_25960)
% 200.65/160.52 |
% 200.65/160.52 +-Applying beta-rule and splitting (4747), into two cases.
% 200.65/160.52 |-Branch one:
% 200.65/160.52 | (4748) all_1033_1_25960 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.52 |
% 200.65/160.52 | Applying alpha-rule on (4748) yields:
% 200.65/160.52 | (4749) all_1033_1_25960 = 0
% 200.65/160.52 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.52 |
% 200.65/160.52 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.52 | (3117) all_777_0_5721 = 0
% 200.65/160.52 |
% 200.65/160.52 | Equations (3117) can reduce 3122 to:
% 200.65/160.52 | (62) $false
% 200.65/160.53 |
% 200.65/160.53 |-The branch is then unsatisfiable
% 200.65/160.53 |-Branch two:
% 200.65/160.53 | (4753) ~ (all_1033_0_25959 = 0) & greater_or_equal(all_1033_1_25960, all_33_1_35) = all_1033_0_25959 & end_time(all_33_4_38) = all_1033_1_25960
% 200.65/160.53 |
% 200.65/160.53 | Applying alpha-rule on (4753) yields:
% 200.65/160.53 | (4754) ~ (all_1033_0_25959 = 0)
% 200.65/160.53 | (4755) greater_or_equal(all_1033_1_25960, all_33_1_35) = all_1033_0_25959
% 200.65/160.53 | (4756) end_time(all_33_4_38) = all_1033_1_25960
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (43) with all_33_4_38, all_1033_1_25960, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_25960, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.53 | (4757) all_1033_1_25960 = all_33_1_35
% 200.65/160.53 |
% 200.65/160.53 | From (4757) and (4755) follows:
% 200.65/160.53 | (4758) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_25959
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (34) with all_1033_0_25959, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_25959, yields:
% 200.65/160.53 | (4759) all_1033_0_25959 = 0
% 200.65/160.53 |
% 200.65/160.53 | Equations (4759) can reduce 4754 to:
% 200.65/160.53 | (62) $false
% 200.65/160.53 |
% 200.65/160.53 |-The branch is then unsatisfiable
% 200.65/160.53 |-Branch two:
% 200.65/160.53 | (4761) ~ (all_1033_1_25960 = 0) & environment(all_33_4_38) = all_1033_1_25960
% 200.65/160.53 |
% 200.65/160.53 | Applying alpha-rule on (4761) yields:
% 200.65/160.53 | (4762) ~ (all_1033_1_25960 = 0)
% 200.65/160.53 | (4763) environment(all_33_4_38) = all_1033_1_25960
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (35) with all_33_4_38, all_1033_1_25960, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_25960, environment(all_33_4_38) = 0, yields:
% 200.65/160.53 | (4749) all_1033_1_25960 = 0
% 200.65/160.53 |
% 200.65/160.53 | Equations (4749) can reduce 4762 to:
% 200.65/160.53 | (62) $false
% 200.65/160.53 |
% 200.65/160.53 |-The branch is then unsatisfiable
% 200.65/160.53 |-Branch two:
% 200.65/160.53 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.53 |
% 200.65/160.53 | Applying alpha-rule on (371) yields:
% 200.65/160.53 | (340) all_569_0_283 = 0
% 200.65/160.53 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.65/160.53 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.53 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.53 |
% 200.65/160.53 | From (343) and (342) follows:
% 200.65/160.53 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.53 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.53 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.53 |
% 200.65/160.53 | Instantiating (345) with all_1033_0_26503, all_1033_1_26504 yields:
% 200.65/160.53 | (4774) (all_1033_1_26504 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_26503 = 0) & greater_or_equal(all_1033_1_26504, all_33_1_35) = all_1033_0_26503 & end_time(all_33_4_38) = all_1033_1_26504) | ( ~ (all_1033_1_26504 = 0) & environment(all_33_4_38) = all_1033_1_26504)
% 200.65/160.53 |
% 200.65/160.53 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.53 |-Branch one:
% 200.65/160.53 | (3117) all_777_0_5721 = 0
% 200.65/160.53 |
% 200.65/160.53 | Equations (3117) can reduce 3122 to:
% 200.65/160.53 | (62) $false
% 200.65/160.53 |
% 200.65/160.53 |-The branch is then unsatisfiable
% 200.65/160.53 |-Branch two:
% 200.65/160.53 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.53 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.53 |
% 200.65/160.53 +-Applying beta-rule and splitting (4774), into two cases.
% 200.65/160.53 |-Branch one:
% 200.65/160.53 | (4779) (all_1033_1_26504 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_26503 = 0) & greater_or_equal(all_1033_1_26504, all_33_1_35) = all_1033_0_26503 & end_time(all_33_4_38) = all_1033_1_26504)
% 200.65/160.53 |
% 200.65/160.53 +-Applying beta-rule and splitting (4779), into two cases.
% 200.65/160.53 |-Branch one:
% 200.65/160.53 | (4780) all_1033_1_26504 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.53 |
% 200.65/160.53 | Applying alpha-rule on (4780) yields:
% 200.65/160.53 | (4781) all_1033_1_26504 = 0
% 200.65/160.53 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.53 | (3117) all_777_0_5721 = 0
% 200.65/160.53 |
% 200.65/160.53 | Equations (3117) can reduce 3122 to:
% 200.65/160.53 | (62) $false
% 200.65/160.53 |
% 200.65/160.53 |-The branch is then unsatisfiable
% 200.65/160.53 |-Branch two:
% 200.65/160.53 | (4785) ~ (all_1033_0_26503 = 0) & greater_or_equal(all_1033_1_26504, all_33_1_35) = all_1033_0_26503 & end_time(all_33_4_38) = all_1033_1_26504
% 200.65/160.53 |
% 200.65/160.53 | Applying alpha-rule on (4785) yields:
% 200.65/160.53 | (4786) ~ (all_1033_0_26503 = 0)
% 200.65/160.53 | (4787) greater_or_equal(all_1033_1_26504, all_33_1_35) = all_1033_0_26503
% 200.65/160.53 | (4788) end_time(all_33_4_38) = all_1033_1_26504
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (43) with all_33_4_38, all_1033_1_26504, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_26504, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.53 | (4789) all_1033_1_26504 = all_33_1_35
% 200.65/160.53 |
% 200.65/160.53 | From (4789) and (4787) follows:
% 200.65/160.53 | (4790) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_26503
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (34) with all_1033_0_26503, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_26503, yields:
% 200.65/160.53 | (4791) all_1033_0_26503 = 0
% 200.65/160.53 |
% 200.65/160.53 | Equations (4791) can reduce 4786 to:
% 200.65/160.53 | (62) $false
% 200.65/160.53 |
% 200.65/160.53 |-The branch is then unsatisfiable
% 200.65/160.53 |-Branch two:
% 200.65/160.53 | (4793) ~ (all_1033_1_26504 = 0) & environment(all_33_4_38) = all_1033_1_26504
% 200.65/160.53 |
% 200.65/160.53 | Applying alpha-rule on (4793) yields:
% 200.65/160.53 | (4794) ~ (all_1033_1_26504 = 0)
% 200.65/160.53 | (4795) environment(all_33_4_38) = all_1033_1_26504
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (35) with all_33_4_38, all_1033_1_26504, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_26504, environment(all_33_4_38) = 0, yields:
% 200.65/160.53 | (4781) all_1033_1_26504 = 0
% 200.65/160.53 |
% 200.65/160.53 | Equations (4781) can reduce 4794 to:
% 200.65/160.53 | (62) $false
% 200.65/160.53 |
% 200.65/160.53 |-The branch is then unsatisfiable
% 200.65/160.53 |-Branch two:
% 200.65/160.53 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.65/160.53 |
% 200.65/160.53 | Applying alpha-rule on (403) yields:
% 200.65/160.53 | (404) ~ (all_569_1_284 = 0)
% 200.65/160.53 | (405) environment(all_33_4_38) = all_569_1_284
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.65/160.53 | (406) all_569_1_284 = 0
% 200.65/160.53 |
% 200.65/160.53 | Equations (406) can reduce 404 to:
% 200.65/160.53 | (62) $false
% 200.65/160.53 |
% 200.65/160.53 |-The branch is then unsatisfiable
% 200.65/160.53 |-Branch two:
% 200.65/160.53 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.65/160.53 |
% 200.65/160.53 | Applying alpha-rule on (489) yields:
% 200.65/160.53 | (326) all_564_0_272 = 0
% 200.65/160.53 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 200.65/160.53 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.53 | (329) all_564_1_273 = all_33_1_35
% 200.65/160.53 |
% 200.65/160.53 | From (329) and (328) follows:
% 200.65/160.53 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.53 |
% 200.65/160.53 +-Applying beta-rule and splitting (278), into two cases.
% 200.65/160.53 |-Branch one:
% 200.65/160.53 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.65/160.53 |
% 200.65/160.53 +-Applying beta-rule and splitting (338), into two cases.
% 200.65/160.53 |-Branch one:
% 200.65/160.53 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.53 |
% 200.65/160.53 | Applying alpha-rule on (339) yields:
% 200.65/160.53 | (340) all_569_0_283 = 0
% 200.65/160.53 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.65/160.53 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.53 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.53 |
% 200.65/160.53 | From (343) and (342) follows:
% 200.65/160.53 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.53 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.53 |
% 200.65/160.53 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.53 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.53 |
% 200.65/160.53 | Instantiating (345) with all_1033_0_27047, all_1033_1_27048 yields:
% 200.65/160.53 | (4818) (all_1033_1_27048 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_27047 = 0) & greater_or_equal(all_1033_1_27048, all_33_1_35) = all_1033_0_27047 & end_time(all_33_4_38) = all_1033_1_27048) | ( ~ (all_1033_1_27048 = 0) & environment(all_33_4_38) = all_1033_1_27048)
% 200.65/160.53 |
% 200.65/160.53 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.53 |-Branch one:
% 200.65/160.53 | (3117) all_777_0_5721 = 0
% 200.65/160.53 |
% 200.65/160.53 | Equations (3117) can reduce 3122 to:
% 200.65/160.53 | (62) $false
% 200.65/160.53 |
% 200.65/160.53 |-The branch is then unsatisfiable
% 200.65/160.53 |-Branch two:
% 200.65/160.53 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.53 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.53 |
% 200.65/160.54 +-Applying beta-rule and splitting (4818), into two cases.
% 200.65/160.54 |-Branch one:
% 200.65/160.54 | (4823) (all_1033_1_27048 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_27047 = 0) & greater_or_equal(all_1033_1_27048, all_33_1_35) = all_1033_0_27047 & end_time(all_33_4_38) = all_1033_1_27048)
% 200.65/160.54 |
% 200.65/160.54 +-Applying beta-rule and splitting (4823), into two cases.
% 200.65/160.54 |-Branch one:
% 200.65/160.54 | (4824) all_1033_1_27048 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (4824) yields:
% 200.65/160.54 | (4825) all_1033_1_27048 = 0
% 200.65/160.54 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.54 | (3117) all_777_0_5721 = 0
% 200.65/160.54 |
% 200.65/160.54 | Equations (3117) can reduce 3122 to:
% 200.65/160.54 | (62) $false
% 200.65/160.54 |
% 200.65/160.54 |-The branch is then unsatisfiable
% 200.65/160.54 |-Branch two:
% 200.65/160.54 | (4829) ~ (all_1033_0_27047 = 0) & greater_or_equal(all_1033_1_27048, all_33_1_35) = all_1033_0_27047 & end_time(all_33_4_38) = all_1033_1_27048
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (4829) yields:
% 200.65/160.54 | (4830) ~ (all_1033_0_27047 = 0)
% 200.65/160.54 | (4831) greater_or_equal(all_1033_1_27048, all_33_1_35) = all_1033_0_27047
% 200.65/160.54 | (4832) end_time(all_33_4_38) = all_1033_1_27048
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (43) with all_33_4_38, all_1033_1_27048, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_27048, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.54 | (4833) all_1033_1_27048 = all_33_1_35
% 200.65/160.54 |
% 200.65/160.54 | From (4833) and (4831) follows:
% 200.65/160.54 | (4834) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_27047
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (34) with all_1033_0_27047, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_27047, yields:
% 200.65/160.54 | (4835) all_1033_0_27047 = 0
% 200.65/160.54 |
% 200.65/160.54 | Equations (4835) can reduce 4830 to:
% 200.65/160.54 | (62) $false
% 200.65/160.54 |
% 200.65/160.54 |-The branch is then unsatisfiable
% 200.65/160.54 |-Branch two:
% 200.65/160.54 | (4837) ~ (all_1033_1_27048 = 0) & environment(all_33_4_38) = all_1033_1_27048
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (4837) yields:
% 200.65/160.54 | (4838) ~ (all_1033_1_27048 = 0)
% 200.65/160.54 | (4839) environment(all_33_4_38) = all_1033_1_27048
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (35) with all_33_4_38, all_1033_1_27048, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_27048, environment(all_33_4_38) = 0, yields:
% 200.65/160.54 | (4825) all_1033_1_27048 = 0
% 200.65/160.54 |
% 200.65/160.54 | Equations (4825) can reduce 4838 to:
% 200.65/160.54 | (62) $false
% 200.65/160.54 |
% 200.65/160.54 |-The branch is then unsatisfiable
% 200.65/160.54 |-Branch two:
% 200.65/160.54 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (371) yields:
% 200.65/160.54 | (340) all_569_0_283 = 0
% 200.65/160.54 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.65/160.54 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.54 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.54 |
% 200.65/160.54 | From (343) and (342) follows:
% 200.65/160.54 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.54 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.54 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.54 |
% 200.65/160.54 | Instantiating (345) with all_1033_0_27591, all_1033_1_27592 yields:
% 200.65/160.54 | (4850) (all_1033_1_27592 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_27591 = 0) & greater_or_equal(all_1033_1_27592, all_33_1_35) = all_1033_0_27591 & end_time(all_33_4_38) = all_1033_1_27592) | ( ~ (all_1033_1_27592 = 0) & environment(all_33_4_38) = all_1033_1_27592)
% 200.65/160.54 |
% 200.65/160.54 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.54 |-Branch one:
% 200.65/160.54 | (3117) all_777_0_5721 = 0
% 200.65/160.54 |
% 200.65/160.54 | Equations (3117) can reduce 3122 to:
% 200.65/160.54 | (62) $false
% 200.65/160.54 |
% 200.65/160.54 |-The branch is then unsatisfiable
% 200.65/160.54 |-Branch two:
% 200.65/160.54 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.54 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.54 |
% 200.65/160.54 +-Applying beta-rule and splitting (4850), into two cases.
% 200.65/160.54 |-Branch one:
% 200.65/160.54 | (4855) (all_1033_1_27592 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_27591 = 0) & greater_or_equal(all_1033_1_27592, all_33_1_35) = all_1033_0_27591 & end_time(all_33_4_38) = all_1033_1_27592)
% 200.65/160.54 |
% 200.65/160.54 +-Applying beta-rule and splitting (4855), into two cases.
% 200.65/160.54 |-Branch one:
% 200.65/160.54 | (4856) all_1033_1_27592 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (4856) yields:
% 200.65/160.54 | (4857) all_1033_1_27592 = 0
% 200.65/160.54 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.54 | (3117) all_777_0_5721 = 0
% 200.65/160.54 |
% 200.65/160.54 | Equations (3117) can reduce 3122 to:
% 200.65/160.54 | (62) $false
% 200.65/160.54 |
% 200.65/160.54 |-The branch is then unsatisfiable
% 200.65/160.54 |-Branch two:
% 200.65/160.54 | (4861) ~ (all_1033_0_27591 = 0) & greater_or_equal(all_1033_1_27592, all_33_1_35) = all_1033_0_27591 & end_time(all_33_4_38) = all_1033_1_27592
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (4861) yields:
% 200.65/160.54 | (4862) ~ (all_1033_0_27591 = 0)
% 200.65/160.54 | (4863) greater_or_equal(all_1033_1_27592, all_33_1_35) = all_1033_0_27591
% 200.65/160.54 | (4864) end_time(all_33_4_38) = all_1033_1_27592
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (43) with all_33_4_38, all_1033_1_27592, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_27592, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.54 | (4865) all_1033_1_27592 = all_33_1_35
% 200.65/160.54 |
% 200.65/160.54 | From (4865) and (4863) follows:
% 200.65/160.54 | (4866) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_27591
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (34) with all_1033_0_27591, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_27591, yields:
% 200.65/160.54 | (4867) all_1033_0_27591 = 0
% 200.65/160.54 |
% 200.65/160.54 | Equations (4867) can reduce 4862 to:
% 200.65/160.54 | (62) $false
% 200.65/160.54 |
% 200.65/160.54 |-The branch is then unsatisfiable
% 200.65/160.54 |-Branch two:
% 200.65/160.54 | (4869) ~ (all_1033_1_27592 = 0) & environment(all_33_4_38) = all_1033_1_27592
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (4869) yields:
% 200.65/160.54 | (4870) ~ (all_1033_1_27592 = 0)
% 200.65/160.54 | (4871) environment(all_33_4_38) = all_1033_1_27592
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (35) with all_33_4_38, all_1033_1_27592, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_27592, environment(all_33_4_38) = 0, yields:
% 200.65/160.54 | (4857) all_1033_1_27592 = 0
% 200.65/160.54 |
% 200.65/160.54 | Equations (4857) can reduce 4870 to:
% 200.65/160.54 | (62) $false
% 200.65/160.54 |
% 200.65/160.54 |-The branch is then unsatisfiable
% 200.65/160.54 |-Branch two:
% 200.65/160.54 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (403) yields:
% 200.65/160.54 | (404) ~ (all_569_1_284 = 0)
% 200.65/160.54 | (405) environment(all_33_4_38) = all_569_1_284
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.65/160.54 | (406) all_569_1_284 = 0
% 200.65/160.54 |
% 200.65/160.54 | Equations (406) can reduce 404 to:
% 200.65/160.54 | (62) $false
% 200.65/160.54 |
% 200.65/160.54 |-The branch is then unsatisfiable
% 200.65/160.54 |-Branch two:
% 200.65/160.54 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (653) yields:
% 200.65/160.54 | (654) ~ (all_564_1_273 = 0)
% 200.65/160.54 | (655) environment(all_33_4_38) = all_564_1_273
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.65/160.54 | (656) all_564_1_273 = 0
% 200.65/160.54 |
% 200.65/160.54 | Equations (656) can reduce 654 to:
% 200.65/160.54 | (62) $false
% 200.65/160.54 |
% 200.65/160.54 |-The branch is then unsatisfiable
% 200.65/160.54 |-Branch two:
% 200.65/160.54 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (484) yields:
% 200.65/160.54 | (485) ~ (all_568_1_282 = 0)
% 200.65/160.54 | (486) environment(all_33_4_38) = all_568_1_282
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 200.65/160.54 | (487) all_568_1_282 = 0
% 200.65/160.54 |
% 200.65/160.54 | Equations (487) can reduce 485 to:
% 200.65/160.54 | (62) $false
% 200.65/160.54 |
% 200.65/160.54 |-The branch is then unsatisfiable
% 200.65/160.54 |-Branch two:
% 200.65/160.54 | (1700) all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250
% 200.65/160.54 |
% 200.65/160.54 | Applying alpha-rule on (1700) yields:
% 200.65/160.54 | (305) all_554_0_249 = 0
% 200.65/160.54 | (1702) greater(all_114_2_98, all_554_1_250) = 0
% 200.65/160.54 | (307) end_time(all_33_4_38) = all_554_1_250
% 200.65/160.54 |
% 200.65/160.54 | Instantiating formula (43) with all_33_4_38, all_554_1_250, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_554_1_250, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.54 | (308) all_554_1_250 = all_33_1_35
% 200.65/160.54 |
% 200.65/160.54 | From (308) and (307) follows:
% 200.65/160.54 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.54 |
% 200.65/160.54 +-Applying beta-rule and splitting (277), into two cases.
% 200.65/160.54 |-Branch one:
% 200.65/160.54 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 200.65/160.54 |
% 200.65/160.54 +-Applying beta-rule and splitting (331), into two cases.
% 200.65/160.54 |-Branch one:
% 200.65/160.54 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.65/160.55 |
% 200.65/160.55 | Applying alpha-rule on (332) yields:
% 200.65/160.55 | (333) all_568_0_281 = 0
% 200.65/160.55 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 200.65/160.55 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.55 | (336) all_568_1_282 = all_33_1_35
% 200.65/160.55 |
% 200.65/160.55 | From (336) and (335) follows:
% 200.65/160.55 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.55 |
% 200.65/160.55 +-Applying beta-rule and splitting (276), into two cases.
% 200.65/160.55 |-Branch one:
% 200.65/160.55 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.65/160.55 |
% 200.65/160.55 +-Applying beta-rule and splitting (324), into two cases.
% 200.65/160.55 |-Branch one:
% 200.65/160.55 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.65/160.55 |
% 200.65/160.55 | Applying alpha-rule on (325) yields:
% 200.65/160.55 | (326) all_564_0_272 = 0
% 200.65/160.55 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.65/160.55 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.55 | (329) all_564_1_273 = all_33_1_35
% 200.65/160.55 |
% 200.65/160.55 | From (329) and (328) follows:
% 200.65/160.55 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.55 |
% 200.65/160.55 +-Applying beta-rule and splitting (278), into two cases.
% 200.65/160.55 |-Branch one:
% 200.65/160.55 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.65/160.55 |
% 200.65/160.55 +-Applying beta-rule and splitting (338), into two cases.
% 200.65/160.55 |-Branch one:
% 200.65/160.55 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.55 |
% 200.65/160.55 | Applying alpha-rule on (339) yields:
% 200.65/160.55 | (340) all_569_0_283 = 0
% 200.65/160.55 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.65/160.55 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.55 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.55 |
% 200.65/160.55 | From (343) and (342) follows:
% 200.65/160.55 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.55 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.55 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.55 |
% 200.65/160.55 | Instantiating (345) with all_1033_0_28135, all_1033_1_28136 yields:
% 200.65/160.55 | (4918) (all_1033_1_28136 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_28135 = 0) & greater_or_equal(all_1033_1_28136, all_33_1_35) = all_1033_0_28135 & end_time(all_33_4_38) = all_1033_1_28136) | ( ~ (all_1033_1_28136 = 0) & environment(all_33_4_38) = all_1033_1_28136)
% 200.65/160.55 |
% 200.65/160.55 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.55 |-Branch one:
% 200.65/160.55 | (3117) all_777_0_5721 = 0
% 200.65/160.55 |
% 200.65/160.55 | Equations (3117) can reduce 3122 to:
% 200.65/160.55 | (62) $false
% 200.65/160.55 |
% 200.65/160.55 |-The branch is then unsatisfiable
% 200.65/160.55 |-Branch two:
% 200.65/160.55 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.55 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.55 |
% 200.65/160.55 +-Applying beta-rule and splitting (4918), into two cases.
% 200.65/160.55 |-Branch one:
% 200.65/160.55 | (4923) (all_1033_1_28136 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_28135 = 0) & greater_or_equal(all_1033_1_28136, all_33_1_35) = all_1033_0_28135 & end_time(all_33_4_38) = all_1033_1_28136)
% 200.65/160.55 |
% 200.65/160.55 +-Applying beta-rule and splitting (4923), into two cases.
% 200.65/160.55 |-Branch one:
% 200.65/160.55 | (4924) all_1033_1_28136 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.55 |
% 200.65/160.55 | Applying alpha-rule on (4924) yields:
% 200.65/160.55 | (4925) all_1033_1_28136 = 0
% 200.65/160.55 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.55 | (3117) all_777_0_5721 = 0
% 200.65/160.55 |
% 200.65/160.55 | Equations (3117) can reduce 3122 to:
% 200.65/160.55 | (62) $false
% 200.65/160.55 |
% 200.65/160.55 |-The branch is then unsatisfiable
% 200.65/160.55 |-Branch two:
% 200.65/160.55 | (4929) ~ (all_1033_0_28135 = 0) & greater_or_equal(all_1033_1_28136, all_33_1_35) = all_1033_0_28135 & end_time(all_33_4_38) = all_1033_1_28136
% 200.65/160.55 |
% 200.65/160.55 | Applying alpha-rule on (4929) yields:
% 200.65/160.55 | (4930) ~ (all_1033_0_28135 = 0)
% 200.65/160.55 | (4931) greater_or_equal(all_1033_1_28136, all_33_1_35) = all_1033_0_28135
% 200.65/160.55 | (4932) end_time(all_33_4_38) = all_1033_1_28136
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (43) with all_33_4_38, all_1033_1_28136, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_28136, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.55 | (4933) all_1033_1_28136 = all_33_1_35
% 200.65/160.55 |
% 200.65/160.55 | From (4933) and (4931) follows:
% 200.65/160.55 | (4934) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_28135
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (34) with all_1033_0_28135, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_28135, yields:
% 200.65/160.55 | (4935) all_1033_0_28135 = 0
% 200.65/160.55 |
% 200.65/160.55 | Equations (4935) can reduce 4930 to:
% 200.65/160.55 | (62) $false
% 200.65/160.55 |
% 200.65/160.55 |-The branch is then unsatisfiable
% 200.65/160.55 |-Branch two:
% 200.65/160.55 | (4937) ~ (all_1033_1_28136 = 0) & environment(all_33_4_38) = all_1033_1_28136
% 200.65/160.55 |
% 200.65/160.55 | Applying alpha-rule on (4937) yields:
% 200.65/160.55 | (4938) ~ (all_1033_1_28136 = 0)
% 200.65/160.55 | (4939) environment(all_33_4_38) = all_1033_1_28136
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (35) with all_33_4_38, all_1033_1_28136, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_28136, environment(all_33_4_38) = 0, yields:
% 200.65/160.55 | (4925) all_1033_1_28136 = 0
% 200.65/160.55 |
% 200.65/160.55 | Equations (4925) can reduce 4938 to:
% 200.65/160.55 | (62) $false
% 200.65/160.55 |
% 200.65/160.55 |-The branch is then unsatisfiable
% 200.65/160.55 |-Branch two:
% 200.65/160.55 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.55 |
% 200.65/160.55 | Applying alpha-rule on (371) yields:
% 200.65/160.55 | (340) all_569_0_283 = 0
% 200.65/160.55 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.65/160.55 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.55 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.55 |
% 200.65/160.55 | From (343) and (342) follows:
% 200.65/160.55 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.55 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.55 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.55 |
% 200.65/160.55 | Instantiating (345) with all_1033_0_28679, all_1033_1_28680 yields:
% 200.65/160.55 | (4950) (all_1033_1_28680 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_28679 = 0) & greater_or_equal(all_1033_1_28680, all_33_1_35) = all_1033_0_28679 & end_time(all_33_4_38) = all_1033_1_28680) | ( ~ (all_1033_1_28680 = 0) & environment(all_33_4_38) = all_1033_1_28680)
% 200.65/160.55 |
% 200.65/160.55 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.55 |-Branch one:
% 200.65/160.55 | (3117) all_777_0_5721 = 0
% 200.65/160.55 |
% 200.65/160.55 | Equations (3117) can reduce 3122 to:
% 200.65/160.55 | (62) $false
% 200.65/160.55 |
% 200.65/160.55 |-The branch is then unsatisfiable
% 200.65/160.55 |-Branch two:
% 200.65/160.55 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.55 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.55 |
% 200.65/160.55 +-Applying beta-rule and splitting (4950), into two cases.
% 200.65/160.55 |-Branch one:
% 200.65/160.55 | (4955) (all_1033_1_28680 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_28679 = 0) & greater_or_equal(all_1033_1_28680, all_33_1_35) = all_1033_0_28679 & end_time(all_33_4_38) = all_1033_1_28680)
% 200.65/160.55 |
% 200.65/160.55 +-Applying beta-rule and splitting (4955), into two cases.
% 200.65/160.55 |-Branch one:
% 200.65/160.55 | (4956) all_1033_1_28680 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.55 |
% 200.65/160.55 | Applying alpha-rule on (4956) yields:
% 200.65/160.55 | (4957) all_1033_1_28680 = 0
% 200.65/160.55 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.55 | (3117) all_777_0_5721 = 0
% 200.65/160.55 |
% 200.65/160.55 | Equations (3117) can reduce 3122 to:
% 200.65/160.55 | (62) $false
% 200.65/160.55 |
% 200.65/160.55 |-The branch is then unsatisfiable
% 200.65/160.55 |-Branch two:
% 200.65/160.55 | (4961) ~ (all_1033_0_28679 = 0) & greater_or_equal(all_1033_1_28680, all_33_1_35) = all_1033_0_28679 & end_time(all_33_4_38) = all_1033_1_28680
% 200.65/160.55 |
% 200.65/160.55 | Applying alpha-rule on (4961) yields:
% 200.65/160.55 | (4962) ~ (all_1033_0_28679 = 0)
% 200.65/160.55 | (4963) greater_or_equal(all_1033_1_28680, all_33_1_35) = all_1033_0_28679
% 200.65/160.55 | (4964) end_time(all_33_4_38) = all_1033_1_28680
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (43) with all_33_4_38, all_1033_1_28680, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_28680, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.55 | (4965) all_1033_1_28680 = all_33_1_35
% 200.65/160.55 |
% 200.65/160.55 | From (4965) and (4963) follows:
% 200.65/160.55 | (4966) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_28679
% 200.65/160.55 |
% 200.65/160.55 | Instantiating formula (34) with all_1033_0_28679, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_28679, yields:
% 200.65/160.56 | (4967) all_1033_0_28679 = 0
% 200.65/160.56 |
% 200.65/160.56 | Equations (4967) can reduce 4962 to:
% 200.65/160.56 | (62) $false
% 200.65/160.56 |
% 200.65/160.56 |-The branch is then unsatisfiable
% 200.65/160.56 |-Branch two:
% 200.65/160.56 | (4969) ~ (all_1033_1_28680 = 0) & environment(all_33_4_38) = all_1033_1_28680
% 200.65/160.56 |
% 200.65/160.56 | Applying alpha-rule on (4969) yields:
% 200.65/160.56 | (4970) ~ (all_1033_1_28680 = 0)
% 200.65/160.56 | (4971) environment(all_33_4_38) = all_1033_1_28680
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (35) with all_33_4_38, all_1033_1_28680, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_28680, environment(all_33_4_38) = 0, yields:
% 200.65/160.56 | (4957) all_1033_1_28680 = 0
% 200.65/160.56 |
% 200.65/160.56 | Equations (4957) can reduce 4970 to:
% 200.65/160.56 | (62) $false
% 200.65/160.56 |
% 200.65/160.56 |-The branch is then unsatisfiable
% 200.65/160.56 |-Branch two:
% 200.65/160.56 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.65/160.56 |
% 200.65/160.56 | Applying alpha-rule on (403) yields:
% 200.65/160.56 | (404) ~ (all_569_1_284 = 0)
% 200.65/160.56 | (405) environment(all_33_4_38) = all_569_1_284
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.65/160.56 | (406) all_569_1_284 = 0
% 200.65/160.56 |
% 200.65/160.56 | Equations (406) can reduce 404 to:
% 200.65/160.56 | (62) $false
% 200.65/160.56 |
% 200.65/160.56 |-The branch is then unsatisfiable
% 200.65/160.56 |-Branch two:
% 200.65/160.56 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.65/160.56 |
% 200.65/160.56 | Applying alpha-rule on (489) yields:
% 200.65/160.56 | (326) all_564_0_272 = 0
% 200.65/160.56 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 200.65/160.56 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.56 | (329) all_564_1_273 = all_33_1_35
% 200.65/160.56 |
% 200.65/160.56 | From (329) and (328) follows:
% 200.65/160.56 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.56 |
% 200.65/160.56 +-Applying beta-rule and splitting (278), into two cases.
% 200.65/160.56 |-Branch one:
% 200.65/160.56 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.65/160.56 |
% 200.65/160.56 +-Applying beta-rule and splitting (338), into two cases.
% 200.65/160.56 |-Branch one:
% 200.65/160.56 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.56 |
% 200.65/160.56 | Applying alpha-rule on (339) yields:
% 200.65/160.56 | (340) all_569_0_283 = 0
% 200.65/160.56 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.65/160.56 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.56 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.56 |
% 200.65/160.56 | From (343) and (342) follows:
% 200.65/160.56 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.56 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.56 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.56 |
% 200.65/160.56 | Instantiating (345) with all_1033_0_29223, all_1033_1_29224 yields:
% 200.65/160.56 | (4994) (all_1033_1_29224 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_29223 = 0) & greater_or_equal(all_1033_1_29224, all_33_1_35) = all_1033_0_29223 & end_time(all_33_4_38) = all_1033_1_29224) | ( ~ (all_1033_1_29224 = 0) & environment(all_33_4_38) = all_1033_1_29224)
% 200.65/160.56 |
% 200.65/160.56 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.56 |-Branch one:
% 200.65/160.56 | (3117) all_777_0_5721 = 0
% 200.65/160.56 |
% 200.65/160.56 | Equations (3117) can reduce 3122 to:
% 200.65/160.56 | (62) $false
% 200.65/160.56 |
% 200.65/160.56 |-The branch is then unsatisfiable
% 200.65/160.56 |-Branch two:
% 200.65/160.56 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.56 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.56 |
% 200.65/160.56 +-Applying beta-rule and splitting (4994), into two cases.
% 200.65/160.56 |-Branch one:
% 200.65/160.56 | (4999) (all_1033_1_29224 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_29223 = 0) & greater_or_equal(all_1033_1_29224, all_33_1_35) = all_1033_0_29223 & end_time(all_33_4_38) = all_1033_1_29224)
% 200.65/160.56 |
% 200.65/160.56 +-Applying beta-rule and splitting (4999), into two cases.
% 200.65/160.56 |-Branch one:
% 200.65/160.56 | (5000) all_1033_1_29224 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.56 |
% 200.65/160.56 | Applying alpha-rule on (5000) yields:
% 200.65/160.56 | (5001) all_1033_1_29224 = 0
% 200.65/160.56 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.56 | (3117) all_777_0_5721 = 0
% 200.65/160.56 |
% 200.65/160.56 | Equations (3117) can reduce 3122 to:
% 200.65/160.56 | (62) $false
% 200.65/160.56 |
% 200.65/160.56 |-The branch is then unsatisfiable
% 200.65/160.56 |-Branch two:
% 200.65/160.56 | (5005) ~ (all_1033_0_29223 = 0) & greater_or_equal(all_1033_1_29224, all_33_1_35) = all_1033_0_29223 & end_time(all_33_4_38) = all_1033_1_29224
% 200.65/160.56 |
% 200.65/160.56 | Applying alpha-rule on (5005) yields:
% 200.65/160.56 | (5006) ~ (all_1033_0_29223 = 0)
% 200.65/160.56 | (5007) greater_or_equal(all_1033_1_29224, all_33_1_35) = all_1033_0_29223
% 200.65/160.56 | (5008) end_time(all_33_4_38) = all_1033_1_29224
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (43) with all_33_4_38, all_1033_1_29224, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_29224, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.56 | (5009) all_1033_1_29224 = all_33_1_35
% 200.65/160.56 |
% 200.65/160.56 | From (5009) and (5007) follows:
% 200.65/160.56 | (5010) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_29223
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (34) with all_1033_0_29223, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_29223, yields:
% 200.65/160.56 | (5011) all_1033_0_29223 = 0
% 200.65/160.56 |
% 200.65/160.56 | Equations (5011) can reduce 5006 to:
% 200.65/160.56 | (62) $false
% 200.65/160.56 |
% 200.65/160.56 |-The branch is then unsatisfiable
% 200.65/160.56 |-Branch two:
% 200.65/160.56 | (5013) ~ (all_1033_1_29224 = 0) & environment(all_33_4_38) = all_1033_1_29224
% 200.65/160.56 |
% 200.65/160.56 | Applying alpha-rule on (5013) yields:
% 200.65/160.56 | (5014) ~ (all_1033_1_29224 = 0)
% 200.65/160.56 | (5015) environment(all_33_4_38) = all_1033_1_29224
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (35) with all_33_4_38, all_1033_1_29224, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_29224, environment(all_33_4_38) = 0, yields:
% 200.65/160.56 | (5001) all_1033_1_29224 = 0
% 200.65/160.56 |
% 200.65/160.56 | Equations (5001) can reduce 5014 to:
% 200.65/160.56 | (62) $false
% 200.65/160.56 |
% 200.65/160.56 |-The branch is then unsatisfiable
% 200.65/160.56 |-Branch two:
% 200.65/160.56 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.56 |
% 200.65/160.56 | Applying alpha-rule on (371) yields:
% 200.65/160.56 | (340) all_569_0_283 = 0
% 200.65/160.56 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.65/160.56 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.56 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.56 |
% 200.65/160.56 | From (343) and (342) follows:
% 200.65/160.56 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.56 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.56 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.56 |
% 200.65/160.56 | Instantiating (345) with all_1033_0_29767, all_1033_1_29768 yields:
% 200.65/160.56 | (5026) (all_1033_1_29768 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_29767 = 0) & greater_or_equal(all_1033_1_29768, all_33_1_35) = all_1033_0_29767 & end_time(all_33_4_38) = all_1033_1_29768) | ( ~ (all_1033_1_29768 = 0) & environment(all_33_4_38) = all_1033_1_29768)
% 200.65/160.56 |
% 200.65/160.56 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.56 |-Branch one:
% 200.65/160.56 | (3117) all_777_0_5721 = 0
% 200.65/160.56 |
% 200.65/160.56 | Equations (3117) can reduce 3122 to:
% 200.65/160.56 | (62) $false
% 200.65/160.56 |
% 200.65/160.56 |-The branch is then unsatisfiable
% 200.65/160.56 |-Branch two:
% 200.65/160.56 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.56 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.56 |
% 200.65/160.56 +-Applying beta-rule and splitting (5026), into two cases.
% 200.65/160.56 |-Branch one:
% 200.65/160.56 | (5031) (all_1033_1_29768 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_29767 = 0) & greater_or_equal(all_1033_1_29768, all_33_1_35) = all_1033_0_29767 & end_time(all_33_4_38) = all_1033_1_29768)
% 200.65/160.56 |
% 200.65/160.56 +-Applying beta-rule and splitting (5031), into two cases.
% 200.65/160.56 |-Branch one:
% 200.65/160.56 | (5032) all_1033_1_29768 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.56 |
% 200.65/160.56 | Applying alpha-rule on (5032) yields:
% 200.65/160.56 | (5033) all_1033_1_29768 = 0
% 200.65/160.56 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.56 |
% 200.65/160.56 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.56 | (3117) all_777_0_5721 = 0
% 200.65/160.56 |
% 200.65/160.56 | Equations (3117) can reduce 3122 to:
% 200.65/160.56 | (62) $false
% 200.65/160.56 |
% 200.65/160.56 |-The branch is then unsatisfiable
% 200.65/160.56 |-Branch two:
% 200.65/160.57 | (5037) ~ (all_1033_0_29767 = 0) & greater_or_equal(all_1033_1_29768, all_33_1_35) = all_1033_0_29767 & end_time(all_33_4_38) = all_1033_1_29768
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (5037) yields:
% 200.65/160.57 | (5038) ~ (all_1033_0_29767 = 0)
% 200.65/160.57 | (5039) greater_or_equal(all_1033_1_29768, all_33_1_35) = all_1033_0_29767
% 200.65/160.57 | (5040) end_time(all_33_4_38) = all_1033_1_29768
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (43) with all_33_4_38, all_1033_1_29768, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_29768, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.57 | (5041) all_1033_1_29768 = all_33_1_35
% 200.65/160.57 |
% 200.65/160.57 | From (5041) and (5039) follows:
% 200.65/160.57 | (5042) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_29767
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (34) with all_1033_0_29767, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_29767, yields:
% 200.65/160.57 | (5043) all_1033_0_29767 = 0
% 200.65/160.57 |
% 200.65/160.57 | Equations (5043) can reduce 5038 to:
% 200.65/160.57 | (62) $false
% 200.65/160.57 |
% 200.65/160.57 |-The branch is then unsatisfiable
% 200.65/160.57 |-Branch two:
% 200.65/160.57 | (5045) ~ (all_1033_1_29768 = 0) & environment(all_33_4_38) = all_1033_1_29768
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (5045) yields:
% 200.65/160.57 | (5046) ~ (all_1033_1_29768 = 0)
% 200.65/160.57 | (5047) environment(all_33_4_38) = all_1033_1_29768
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (35) with all_33_4_38, all_1033_1_29768, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_29768, environment(all_33_4_38) = 0, yields:
% 200.65/160.57 | (5033) all_1033_1_29768 = 0
% 200.65/160.57 |
% 200.65/160.57 | Equations (5033) can reduce 5046 to:
% 200.65/160.57 | (62) $false
% 200.65/160.57 |
% 200.65/160.57 |-The branch is then unsatisfiable
% 200.65/160.57 |-Branch two:
% 200.65/160.57 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (403) yields:
% 200.65/160.57 | (404) ~ (all_569_1_284 = 0)
% 200.65/160.57 | (405) environment(all_33_4_38) = all_569_1_284
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 200.65/160.57 | (406) all_569_1_284 = 0
% 200.65/160.57 |
% 200.65/160.57 | Equations (406) can reduce 404 to:
% 200.65/160.57 | (62) $false
% 200.65/160.57 |
% 200.65/160.57 |-The branch is then unsatisfiable
% 200.65/160.57 |-Branch two:
% 200.65/160.57 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (653) yields:
% 200.65/160.57 | (654) ~ (all_564_1_273 = 0)
% 200.65/160.57 | (655) environment(all_33_4_38) = all_564_1_273
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 200.65/160.57 | (656) all_564_1_273 = 0
% 200.65/160.57 |
% 200.65/160.57 | Equations (656) can reduce 654 to:
% 200.65/160.57 | (62) $false
% 200.65/160.57 |
% 200.65/160.57 |-The branch is then unsatisfiable
% 200.65/160.57 |-Branch two:
% 200.65/160.57 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (408) yields:
% 200.65/160.57 | (333) all_568_0_281 = 0
% 200.65/160.57 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 200.65/160.57 | (335) end_time(all_33_4_38) = all_568_1_282
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.57 | (336) all_568_1_282 = all_33_1_35
% 200.65/160.57 |
% 200.65/160.57 | From (336) and (335) follows:
% 200.65/160.57 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.57 |
% 200.65/160.57 +-Applying beta-rule and splitting (276), into two cases.
% 200.65/160.57 |-Branch one:
% 200.65/160.57 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 200.65/160.57 |
% 200.65/160.57 +-Applying beta-rule and splitting (324), into two cases.
% 200.65/160.57 |-Branch one:
% 200.65/160.57 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (325) yields:
% 200.65/160.57 | (326) all_564_0_272 = 0
% 200.65/160.57 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 200.65/160.57 | (328) end_time(all_33_4_38) = all_564_1_273
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.57 | (329) all_564_1_273 = all_33_1_35
% 200.65/160.57 |
% 200.65/160.57 | From (329) and (328) follows:
% 200.65/160.57 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.57 |
% 200.65/160.57 +-Applying beta-rule and splitting (278), into two cases.
% 200.65/160.57 |-Branch one:
% 200.65/160.57 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 200.65/160.57 |
% 200.65/160.57 +-Applying beta-rule and splitting (338), into two cases.
% 200.65/160.57 |-Branch one:
% 200.65/160.57 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (339) yields:
% 200.65/160.57 | (340) all_569_0_283 = 0
% 200.65/160.57 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 200.65/160.57 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.57 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.57 |
% 200.65/160.57 | From (343) and (342) follows:
% 200.65/160.57 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.57 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.57 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.57 |
% 200.65/160.57 | Instantiating (345) with all_1033_0_30311, all_1033_1_30312 yields:
% 200.65/160.57 | (5082) (all_1033_1_30312 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_30311 = 0) & greater_or_equal(all_1033_1_30312, all_33_1_35) = all_1033_0_30311 & end_time(all_33_4_38) = all_1033_1_30312) | ( ~ (all_1033_1_30312 = 0) & environment(all_33_4_38) = all_1033_1_30312)
% 200.65/160.57 |
% 200.65/160.57 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.57 |-Branch one:
% 200.65/160.57 | (3117) all_777_0_5721 = 0
% 200.65/160.57 |
% 200.65/160.57 | Equations (3117) can reduce 3122 to:
% 200.65/160.57 | (62) $false
% 200.65/160.57 |
% 200.65/160.57 |-The branch is then unsatisfiable
% 200.65/160.57 |-Branch two:
% 200.65/160.57 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.57 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.57 |
% 200.65/160.57 +-Applying beta-rule and splitting (5082), into two cases.
% 200.65/160.57 |-Branch one:
% 200.65/160.57 | (5087) (all_1033_1_30312 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_30311 = 0) & greater_or_equal(all_1033_1_30312, all_33_1_35) = all_1033_0_30311 & end_time(all_33_4_38) = all_1033_1_30312)
% 200.65/160.57 |
% 200.65/160.57 +-Applying beta-rule and splitting (5087), into two cases.
% 200.65/160.57 |-Branch one:
% 200.65/160.57 | (5088) all_1033_1_30312 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (5088) yields:
% 200.65/160.57 | (5089) all_1033_1_30312 = 0
% 200.65/160.57 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.57 | (3117) all_777_0_5721 = 0
% 200.65/160.57 |
% 200.65/160.57 | Equations (3117) can reduce 3122 to:
% 200.65/160.57 | (62) $false
% 200.65/160.57 |
% 200.65/160.57 |-The branch is then unsatisfiable
% 200.65/160.57 |-Branch two:
% 200.65/160.57 | (5093) ~ (all_1033_0_30311 = 0) & greater_or_equal(all_1033_1_30312, all_33_1_35) = all_1033_0_30311 & end_time(all_33_4_38) = all_1033_1_30312
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (5093) yields:
% 200.65/160.57 | (5094) ~ (all_1033_0_30311 = 0)
% 200.65/160.57 | (5095) greater_or_equal(all_1033_1_30312, all_33_1_35) = all_1033_0_30311
% 200.65/160.57 | (5096) end_time(all_33_4_38) = all_1033_1_30312
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (43) with all_33_4_38, all_1033_1_30312, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_30312, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.57 | (5097) all_1033_1_30312 = all_33_1_35
% 200.65/160.57 |
% 200.65/160.57 | From (5097) and (5095) follows:
% 200.65/160.57 | (5098) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_30311
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (34) with all_1033_0_30311, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_30311, yields:
% 200.65/160.57 | (5099) all_1033_0_30311 = 0
% 200.65/160.57 |
% 200.65/160.57 | Equations (5099) can reduce 5094 to:
% 200.65/160.57 | (62) $false
% 200.65/160.57 |
% 200.65/160.57 |-The branch is then unsatisfiable
% 200.65/160.57 |-Branch two:
% 200.65/160.57 | (5101) ~ (all_1033_1_30312 = 0) & environment(all_33_4_38) = all_1033_1_30312
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (5101) yields:
% 200.65/160.57 | (5102) ~ (all_1033_1_30312 = 0)
% 200.65/160.57 | (5103) environment(all_33_4_38) = all_1033_1_30312
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (35) with all_33_4_38, all_1033_1_30312, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_30312, environment(all_33_4_38) = 0, yields:
% 200.65/160.57 | (5089) all_1033_1_30312 = 0
% 200.65/160.57 |
% 200.65/160.57 | Equations (5089) can reduce 5102 to:
% 200.65/160.57 | (62) $false
% 200.65/160.57 |
% 200.65/160.57 |-The branch is then unsatisfiable
% 200.65/160.57 |-Branch two:
% 200.65/160.57 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 200.65/160.57 |
% 200.65/160.57 | Applying alpha-rule on (371) yields:
% 200.65/160.57 | (340) all_569_0_283 = 0
% 200.65/160.57 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 200.65/160.57 | (342) end_time(all_33_4_38) = all_569_1_284
% 200.65/160.57 |
% 200.65/160.57 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 200.65/160.57 | (343) all_569_1_284 = all_33_1_35
% 200.65/160.57 |
% 200.65/160.57 | From (343) and (342) follows:
% 200.65/160.57 | (67) end_time(all_33_4_38) = all_33_1_35
% 200.65/160.58 |
% 200.65/160.58 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 200.65/160.58 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.58 |
% 200.65/160.58 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 200.65/160.58 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.58 |
% 200.65/160.58 | Instantiating (345) with all_1033_0_30855, all_1033_1_30856 yields:
% 200.65/160.58 | (5114) (all_1033_1_30856 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_30855 = 0) & greater_or_equal(all_1033_1_30856, all_33_1_35) = all_1033_0_30855 & end_time(all_33_4_38) = all_1033_1_30856) | ( ~ (all_1033_1_30856 = 0) & environment(all_33_4_38) = all_1033_1_30856)
% 200.65/160.58 |
% 200.65/160.58 +-Applying beta-rule and splitting (3167), into two cases.
% 200.65/160.58 |-Branch one:
% 200.65/160.58 | (3117) all_777_0_5721 = 0
% 200.65/160.58 |
% 200.65/160.58 | Equations (3117) can reduce 3122 to:
% 200.65/160.58 | (62) $false
% 200.65/160.58 |
% 200.65/160.58 |-The branch is then unsatisfiable
% 200.65/160.58 |-Branch two:
% 200.65/160.58 | (3122) ~ (all_777_0_5721 = 0)
% 200.65/160.58 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 200.65/160.58 |
% 200.65/160.58 +-Applying beta-rule and splitting (5114), into two cases.
% 200.65/160.58 |-Branch one:
% 200.65/160.58 | (5119) (all_1033_1_30856 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_30855 = 0) & greater_or_equal(all_1033_1_30856, all_33_1_35) = all_1033_0_30855 & end_time(all_33_4_38) = all_1033_1_30856)
% 200.65/160.58 |
% 200.65/160.58 +-Applying beta-rule and splitting (5119), into two cases.
% 200.65/160.58 |-Branch one:
% 200.65/160.58 | (5120) all_1033_1_30856 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.58 |
% 200.65/160.58 | Applying alpha-rule on (5120) yields:
% 200.65/160.58 | (5121) all_1033_1_30856 = 0
% 200.65/160.58 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 200.65/160.58 |
% 200.65/160.58 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 200.65/160.58 | (3117) all_777_0_5721 = 0
% 200.65/160.58 |
% 201.01/160.58 | Equations (3117) can reduce 3122 to:
% 201.01/160.58 | (62) $false
% 201.01/160.58 |
% 201.01/160.58 |-The branch is then unsatisfiable
% 201.01/160.58 |-Branch two:
% 201.01/160.58 | (5125) ~ (all_1033_0_30855 = 0) & greater_or_equal(all_1033_1_30856, all_33_1_35) = all_1033_0_30855 & end_time(all_33_4_38) = all_1033_1_30856
% 201.01/160.58 |
% 201.01/160.58 | Applying alpha-rule on (5125) yields:
% 201.01/160.58 | (5126) ~ (all_1033_0_30855 = 0)
% 201.01/160.58 | (5127) greater_or_equal(all_1033_1_30856, all_33_1_35) = all_1033_0_30855
% 201.01/160.58 | (5128) end_time(all_33_4_38) = all_1033_1_30856
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (43) with all_33_4_38, all_1033_1_30856, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_30856, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.01/160.58 | (5129) all_1033_1_30856 = all_33_1_35
% 201.01/160.58 |
% 201.01/160.58 | From (5129) and (5127) follows:
% 201.01/160.58 | (5130) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_30855
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (34) with all_1033_0_30855, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_30855, yields:
% 201.01/160.58 | (5131) all_1033_0_30855 = 0
% 201.01/160.58 |
% 201.01/160.58 | Equations (5131) can reduce 5126 to:
% 201.01/160.58 | (62) $false
% 201.01/160.58 |
% 201.01/160.58 |-The branch is then unsatisfiable
% 201.01/160.58 |-Branch two:
% 201.01/160.58 | (5133) ~ (all_1033_1_30856 = 0) & environment(all_33_4_38) = all_1033_1_30856
% 201.01/160.58 |
% 201.01/160.58 | Applying alpha-rule on (5133) yields:
% 201.01/160.58 | (5134) ~ (all_1033_1_30856 = 0)
% 201.01/160.58 | (5135) environment(all_33_4_38) = all_1033_1_30856
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (35) with all_33_4_38, all_1033_1_30856, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_30856, environment(all_33_4_38) = 0, yields:
% 201.01/160.58 | (5121) all_1033_1_30856 = 0
% 201.01/160.58 |
% 201.01/160.58 | Equations (5121) can reduce 5134 to:
% 201.01/160.58 | (62) $false
% 201.01/160.58 |
% 201.01/160.58 |-The branch is then unsatisfiable
% 201.01/160.58 |-Branch two:
% 201.01/160.58 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 201.01/160.58 |
% 201.01/160.58 | Applying alpha-rule on (403) yields:
% 201.01/160.58 | (404) ~ (all_569_1_284 = 0)
% 201.01/160.58 | (405) environment(all_33_4_38) = all_569_1_284
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 201.01/160.58 | (406) all_569_1_284 = 0
% 201.01/160.58 |
% 201.01/160.58 | Equations (406) can reduce 404 to:
% 201.01/160.58 | (62) $false
% 201.01/160.58 |
% 201.01/160.58 |-The branch is then unsatisfiable
% 201.01/160.58 |-Branch two:
% 201.01/160.58 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 201.01/160.58 |
% 201.01/160.58 | Applying alpha-rule on (489) yields:
% 201.01/160.58 | (326) all_564_0_272 = 0
% 201.01/160.58 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 201.01/160.58 | (328) end_time(all_33_4_38) = all_564_1_273
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.01/160.58 | (329) all_564_1_273 = all_33_1_35
% 201.01/160.58 |
% 201.01/160.58 | From (329) and (328) follows:
% 201.01/160.58 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.01/160.58 |
% 201.01/160.58 +-Applying beta-rule and splitting (278), into two cases.
% 201.01/160.58 |-Branch one:
% 201.01/160.58 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 201.01/160.58 |
% 201.01/160.58 +-Applying beta-rule and splitting (338), into two cases.
% 201.01/160.58 |-Branch one:
% 201.01/160.58 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.01/160.58 |
% 201.01/160.58 | Applying alpha-rule on (339) yields:
% 201.01/160.58 | (340) all_569_0_283 = 0
% 201.01/160.58 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 201.01/160.58 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.01/160.58 | (343) all_569_1_284 = all_33_1_35
% 201.01/160.58 |
% 201.01/160.58 | From (343) and (342) follows:
% 201.01/160.58 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.01/160.58 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.01/160.58 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.01/160.58 |
% 201.01/160.58 | Instantiating (345) with all_1033_0_31399, all_1033_1_31400 yields:
% 201.01/160.58 | (5158) (all_1033_1_31400 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_31399 = 0) & greater_or_equal(all_1033_1_31400, all_33_1_35) = all_1033_0_31399 & end_time(all_33_4_38) = all_1033_1_31400) | ( ~ (all_1033_1_31400 = 0) & environment(all_33_4_38) = all_1033_1_31400)
% 201.01/160.58 |
% 201.01/160.58 +-Applying beta-rule and splitting (3167), into two cases.
% 201.01/160.58 |-Branch one:
% 201.01/160.58 | (3117) all_777_0_5721 = 0
% 201.01/160.58 |
% 201.01/160.58 | Equations (3117) can reduce 3122 to:
% 201.01/160.58 | (62) $false
% 201.01/160.58 |
% 201.01/160.58 |-The branch is then unsatisfiable
% 201.01/160.58 |-Branch two:
% 201.01/160.58 | (3122) ~ (all_777_0_5721 = 0)
% 201.01/160.58 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.01/160.58 |
% 201.01/160.58 +-Applying beta-rule and splitting (5158), into two cases.
% 201.01/160.58 |-Branch one:
% 201.01/160.58 | (5163) (all_1033_1_31400 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_31399 = 0) & greater_or_equal(all_1033_1_31400, all_33_1_35) = all_1033_0_31399 & end_time(all_33_4_38) = all_1033_1_31400)
% 201.01/160.58 |
% 201.01/160.58 +-Applying beta-rule and splitting (5163), into two cases.
% 201.01/160.58 |-Branch one:
% 201.01/160.58 | (5164) all_1033_1_31400 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.01/160.58 |
% 201.01/160.58 | Applying alpha-rule on (5164) yields:
% 201.01/160.58 | (5165) all_1033_1_31400 = 0
% 201.01/160.58 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.01/160.58 | (3117) all_777_0_5721 = 0
% 201.01/160.58 |
% 201.01/160.58 | Equations (3117) can reduce 3122 to:
% 201.01/160.58 | (62) $false
% 201.01/160.58 |
% 201.01/160.58 |-The branch is then unsatisfiable
% 201.01/160.58 |-Branch two:
% 201.01/160.58 | (5169) ~ (all_1033_0_31399 = 0) & greater_or_equal(all_1033_1_31400, all_33_1_35) = all_1033_0_31399 & end_time(all_33_4_38) = all_1033_1_31400
% 201.01/160.58 |
% 201.01/160.58 | Applying alpha-rule on (5169) yields:
% 201.01/160.58 | (5170) ~ (all_1033_0_31399 = 0)
% 201.01/160.58 | (5171) greater_or_equal(all_1033_1_31400, all_33_1_35) = all_1033_0_31399
% 201.01/160.58 | (5172) end_time(all_33_4_38) = all_1033_1_31400
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (43) with all_33_4_38, all_1033_1_31400, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_31400, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.01/160.58 | (5173) all_1033_1_31400 = all_33_1_35
% 201.01/160.58 |
% 201.01/160.58 | From (5173) and (5171) follows:
% 201.01/160.58 | (5174) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_31399
% 201.01/160.58 |
% 201.01/160.58 | Instantiating formula (34) with all_1033_0_31399, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_31399, yields:
% 201.01/160.58 | (5175) all_1033_0_31399 = 0
% 201.01/160.58 |
% 201.01/160.59 | Equations (5175) can reduce 5170 to:
% 201.01/160.59 | (62) $false
% 201.01/160.59 |
% 201.01/160.59 |-The branch is then unsatisfiable
% 201.01/160.59 |-Branch two:
% 201.01/160.59 | (5177) ~ (all_1033_1_31400 = 0) & environment(all_33_4_38) = all_1033_1_31400
% 201.01/160.59 |
% 201.01/160.59 | Applying alpha-rule on (5177) yields:
% 201.01/160.59 | (5178) ~ (all_1033_1_31400 = 0)
% 201.01/160.59 | (5179) environment(all_33_4_38) = all_1033_1_31400
% 201.01/160.59 |
% 201.01/160.59 | Instantiating formula (35) with all_33_4_38, all_1033_1_31400, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_31400, environment(all_33_4_38) = 0, yields:
% 201.01/160.59 | (5165) all_1033_1_31400 = 0
% 201.01/160.59 |
% 201.01/160.59 | Equations (5165) can reduce 5178 to:
% 201.01/160.59 | (62) $false
% 201.01/160.59 |
% 201.01/160.59 |-The branch is then unsatisfiable
% 201.01/160.59 |-Branch two:
% 201.01/160.59 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.01/160.59 |
% 201.01/160.59 | Applying alpha-rule on (371) yields:
% 201.01/160.59 | (340) all_569_0_283 = 0
% 201.01/160.59 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 201.01/160.59 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.01/160.59 |
% 201.01/160.59 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.01/160.59 | (343) all_569_1_284 = all_33_1_35
% 201.01/160.59 |
% 201.01/160.59 | From (343) and (342) follows:
% 201.01/160.59 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.01/160.59 |
% 201.01/160.59 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.05/160.59 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.05/160.59 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.05/160.59 |
% 201.05/160.59 | Instantiating (345) with all_1033_0_31943, all_1033_1_31944 yields:
% 201.05/160.59 | (5190) (all_1033_1_31944 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_31943 = 0) & greater_or_equal(all_1033_1_31944, all_33_1_35) = all_1033_0_31943 & end_time(all_33_4_38) = all_1033_1_31944) | ( ~ (all_1033_1_31944 = 0) & environment(all_33_4_38) = all_1033_1_31944)
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (3167), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (3117) all_777_0_5721 = 0
% 201.05/160.59 |
% 201.05/160.59 | Equations (3117) can reduce 3122 to:
% 201.05/160.59 | (62) $false
% 201.05/160.59 |
% 201.05/160.59 |-The branch is then unsatisfiable
% 201.05/160.59 |-Branch two:
% 201.05/160.59 | (3122) ~ (all_777_0_5721 = 0)
% 201.05/160.59 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (5190), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (5195) (all_1033_1_31944 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_31943 = 0) & greater_or_equal(all_1033_1_31944, all_33_1_35) = all_1033_0_31943 & end_time(all_33_4_38) = all_1033_1_31944)
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (5195), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (5196) all_1033_1_31944 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (5196) yields:
% 201.05/160.59 | (5197) all_1033_1_31944 = 0
% 201.05/160.59 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.05/160.59 | (3117) all_777_0_5721 = 0
% 201.05/160.59 |
% 201.05/160.59 | Equations (3117) can reduce 3122 to:
% 201.05/160.59 | (62) $false
% 201.05/160.59 |
% 201.05/160.59 |-The branch is then unsatisfiable
% 201.05/160.59 |-Branch two:
% 201.05/160.59 | (5201) ~ (all_1033_0_31943 = 0) & greater_or_equal(all_1033_1_31944, all_33_1_35) = all_1033_0_31943 & end_time(all_33_4_38) = all_1033_1_31944
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (5201) yields:
% 201.05/160.59 | (5202) ~ (all_1033_0_31943 = 0)
% 201.05/160.59 | (5203) greater_or_equal(all_1033_1_31944, all_33_1_35) = all_1033_0_31943
% 201.05/160.59 | (5204) end_time(all_33_4_38) = all_1033_1_31944
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (43) with all_33_4_38, all_1033_1_31944, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_31944, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.05/160.59 | (5205) all_1033_1_31944 = all_33_1_35
% 201.05/160.59 |
% 201.05/160.59 | From (5205) and (5203) follows:
% 201.05/160.59 | (5206) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_31943
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (34) with all_1033_0_31943, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_31943, yields:
% 201.05/160.59 | (5207) all_1033_0_31943 = 0
% 201.05/160.59 |
% 201.05/160.59 | Equations (5207) can reduce 5202 to:
% 201.05/160.59 | (62) $false
% 201.05/160.59 |
% 201.05/160.59 |-The branch is then unsatisfiable
% 201.05/160.59 |-Branch two:
% 201.05/160.59 | (5209) ~ (all_1033_1_31944 = 0) & environment(all_33_4_38) = all_1033_1_31944
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (5209) yields:
% 201.05/160.59 | (5210) ~ (all_1033_1_31944 = 0)
% 201.05/160.59 | (5211) environment(all_33_4_38) = all_1033_1_31944
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (35) with all_33_4_38, all_1033_1_31944, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_31944, environment(all_33_4_38) = 0, yields:
% 201.05/160.59 | (5197) all_1033_1_31944 = 0
% 201.05/160.59 |
% 201.05/160.59 | Equations (5197) can reduce 5210 to:
% 201.05/160.59 | (62) $false
% 201.05/160.59 |
% 201.05/160.59 |-The branch is then unsatisfiable
% 201.05/160.59 |-Branch two:
% 201.05/160.59 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (403) yields:
% 201.05/160.59 | (404) ~ (all_569_1_284 = 0)
% 201.05/160.59 | (405) environment(all_33_4_38) = all_569_1_284
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 201.05/160.59 | (406) all_569_1_284 = 0
% 201.05/160.59 |
% 201.05/160.59 | Equations (406) can reduce 404 to:
% 201.05/160.59 | (62) $false
% 201.05/160.59 |
% 201.05/160.59 |-The branch is then unsatisfiable
% 201.05/160.59 |-Branch two:
% 201.05/160.59 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (653) yields:
% 201.05/160.59 | (654) ~ (all_564_1_273 = 0)
% 201.05/160.59 | (655) environment(all_33_4_38) = all_564_1_273
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 201.05/160.59 | (656) all_564_1_273 = 0
% 201.05/160.59 |
% 201.05/160.59 | Equations (656) can reduce 654 to:
% 201.05/160.59 | (62) $false
% 201.05/160.59 |
% 201.05/160.59 |-The branch is then unsatisfiable
% 201.05/160.59 |-Branch two:
% 201.05/160.59 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (484) yields:
% 201.05/160.59 | (485) ~ (all_568_1_282 = 0)
% 201.05/160.59 | (486) environment(all_33_4_38) = all_568_1_282
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 201.05/160.59 | (487) all_568_1_282 = 0
% 201.05/160.59 |
% 201.05/160.59 | Equations (487) can reduce 485 to:
% 201.05/160.59 | (62) $false
% 201.05/160.59 |
% 201.05/160.59 |-The branch is then unsatisfiable
% 201.05/160.59 |-Branch two:
% 201.05/160.59 | (3096) ~ (all_554_1_250 = 0) & environment(all_33_4_38) = all_554_1_250
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (3096) yields:
% 201.05/160.59 | (3097) ~ (all_554_1_250 = 0)
% 201.05/160.59 | (3098) environment(all_33_4_38) = all_554_1_250
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (35) with all_33_4_38, all_554_1_250, 0 and discharging atoms environment(all_33_4_38) = all_554_1_250, environment(all_33_4_38) = 0, yields:
% 201.05/160.59 | (3099) all_554_1_250 = 0
% 201.05/160.59 |
% 201.05/160.59 | Equations (3099) can reduce 3097 to:
% 201.05/160.59 | (62) $false
% 201.05/160.59 |
% 201.05/160.59 |-The branch is then unsatisfiable
% 201.05/160.59 |-Branch two:
% 201.05/160.59 | (658) all_559_0_261 = 0 & greater(all_60_2_75, all_559_1_262) = 0 & end_time(all_33_4_38) = all_559_1_262
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (658) yields:
% 201.05/160.59 | (319) all_559_0_261 = 0
% 201.05/160.59 | (660) greater(all_60_2_75, all_559_1_262) = 0
% 201.05/160.59 | (321) end_time(all_33_4_38) = all_559_1_262
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (43) with all_33_4_38, all_559_1_262, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_559_1_262, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.05/160.59 | (322) all_559_1_262 = all_33_1_35
% 201.05/160.59 |
% 201.05/160.59 | From (322) and (321) follows:
% 201.05/160.59 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (273), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (303) (all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250) | (all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250)
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (303), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (304) all_554_0_249 = 0 & greater_or_equal(all_554_1_250, all_114_2_98) = 0 & end_time(all_33_4_38) = all_554_1_250
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (304) yields:
% 201.05/160.59 | (305) all_554_0_249 = 0
% 201.05/160.59 | (306) greater_or_equal(all_554_1_250, all_114_2_98) = 0
% 201.05/160.59 | (307) end_time(all_33_4_38) = all_554_1_250
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (43) with all_33_4_38, all_554_1_250, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_554_1_250, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.05/160.59 | (308) all_554_1_250 = all_33_1_35
% 201.05/160.59 |
% 201.05/160.59 | From (308) and (307) follows:
% 201.05/160.59 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (277), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (331), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (332) yields:
% 201.05/160.59 | (333) all_568_0_281 = 0
% 201.05/160.59 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 201.05/160.59 | (335) end_time(all_33_4_38) = all_568_1_282
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.05/160.59 | (336) all_568_1_282 = all_33_1_35
% 201.05/160.59 |
% 201.05/160.59 | From (336) and (335) follows:
% 201.05/160.59 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (276), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (324), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 201.05/160.59 |
% 201.05/160.59 | Applying alpha-rule on (325) yields:
% 201.05/160.59 | (326) all_564_0_272 = 0
% 201.05/160.59 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 201.05/160.59 | (328) end_time(all_33_4_38) = all_564_1_273
% 201.05/160.59 |
% 201.05/160.59 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.05/160.59 | (329) all_564_1_273 = all_33_1_35
% 201.05/160.59 |
% 201.05/160.59 | From (329) and (328) follows:
% 201.05/160.59 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (278), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 201.05/160.59 |
% 201.05/160.59 +-Applying beta-rule and splitting (338), into two cases.
% 201.05/160.59 |-Branch one:
% 201.05/160.59 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.05/160.60 |
% 201.05/160.60 | Applying alpha-rule on (339) yields:
% 201.05/160.60 | (340) all_569_0_283 = 0
% 201.05/160.60 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 201.05/160.60 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.05/160.60 | (343) all_569_1_284 = all_33_1_35
% 201.05/160.60 |
% 201.05/160.60 | From (343) and (342) follows:
% 201.05/160.60 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.05/160.60 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.05/160.60 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.05/160.60 |
% 201.05/160.60 | Instantiating (345) with all_1033_0_32487, all_1033_1_32488 yields:
% 201.05/160.60 | (5270) (all_1033_1_32488 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_32487 = 0) & greater_or_equal(all_1033_1_32488, all_33_1_35) = all_1033_0_32487 & end_time(all_33_4_38) = all_1033_1_32488) | ( ~ (all_1033_1_32488 = 0) & environment(all_33_4_38) = all_1033_1_32488)
% 201.05/160.60 |
% 201.05/160.60 +-Applying beta-rule and splitting (3167), into two cases.
% 201.05/160.60 |-Branch one:
% 201.05/160.60 | (3117) all_777_0_5721 = 0
% 201.05/160.60 |
% 201.05/160.60 | Equations (3117) can reduce 3122 to:
% 201.05/160.60 | (62) $false
% 201.05/160.60 |
% 201.05/160.60 |-The branch is then unsatisfiable
% 201.05/160.60 |-Branch two:
% 201.05/160.60 | (3122) ~ (all_777_0_5721 = 0)
% 201.05/160.60 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.05/160.60 |
% 201.05/160.60 +-Applying beta-rule and splitting (5270), into two cases.
% 201.05/160.60 |-Branch one:
% 201.05/160.60 | (5275) (all_1033_1_32488 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_32487 = 0) & greater_or_equal(all_1033_1_32488, all_33_1_35) = all_1033_0_32487 & end_time(all_33_4_38) = all_1033_1_32488)
% 201.05/160.60 |
% 201.05/160.60 +-Applying beta-rule and splitting (5275), into two cases.
% 201.05/160.60 |-Branch one:
% 201.05/160.60 | (5276) all_1033_1_32488 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.05/160.60 |
% 201.05/160.60 | Applying alpha-rule on (5276) yields:
% 201.05/160.60 | (5277) all_1033_1_32488 = 0
% 201.05/160.60 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.05/160.60 | (3117) all_777_0_5721 = 0
% 201.05/160.60 |
% 201.05/160.60 | Equations (3117) can reduce 3122 to:
% 201.05/160.60 | (62) $false
% 201.05/160.60 |
% 201.05/160.60 |-The branch is then unsatisfiable
% 201.05/160.60 |-Branch two:
% 201.05/160.60 | (5281) ~ (all_1033_0_32487 = 0) & greater_or_equal(all_1033_1_32488, all_33_1_35) = all_1033_0_32487 & end_time(all_33_4_38) = all_1033_1_32488
% 201.05/160.60 |
% 201.05/160.60 | Applying alpha-rule on (5281) yields:
% 201.05/160.60 | (5282) ~ (all_1033_0_32487 = 0)
% 201.05/160.60 | (5283) greater_or_equal(all_1033_1_32488, all_33_1_35) = all_1033_0_32487
% 201.05/160.60 | (5284) end_time(all_33_4_38) = all_1033_1_32488
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (43) with all_33_4_38, all_1033_1_32488, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_32488, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.05/160.60 | (5285) all_1033_1_32488 = all_33_1_35
% 201.05/160.60 |
% 201.05/160.60 | From (5285) and (5283) follows:
% 201.05/160.60 | (5286) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_32487
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (34) with all_1033_0_32487, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_32487, yields:
% 201.05/160.60 | (5287) all_1033_0_32487 = 0
% 201.05/160.60 |
% 201.05/160.60 | Equations (5287) can reduce 5282 to:
% 201.05/160.60 | (62) $false
% 201.05/160.60 |
% 201.05/160.60 |-The branch is then unsatisfiable
% 201.05/160.60 |-Branch two:
% 201.05/160.60 | (5289) ~ (all_1033_1_32488 = 0) & environment(all_33_4_38) = all_1033_1_32488
% 201.05/160.60 |
% 201.05/160.60 | Applying alpha-rule on (5289) yields:
% 201.05/160.60 | (5290) ~ (all_1033_1_32488 = 0)
% 201.05/160.60 | (5291) environment(all_33_4_38) = all_1033_1_32488
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (35) with all_33_4_38, all_1033_1_32488, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_32488, environment(all_33_4_38) = 0, yields:
% 201.05/160.60 | (5277) all_1033_1_32488 = 0
% 201.05/160.60 |
% 201.05/160.60 | Equations (5277) can reduce 5290 to:
% 201.05/160.60 | (62) $false
% 201.05/160.60 |
% 201.05/160.60 |-The branch is then unsatisfiable
% 201.05/160.60 |-Branch two:
% 201.05/160.60 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.05/160.60 |
% 201.05/160.60 | Applying alpha-rule on (371) yields:
% 201.05/160.60 | (340) all_569_0_283 = 0
% 201.05/160.60 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 201.05/160.60 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.05/160.60 | (343) all_569_1_284 = all_33_1_35
% 201.05/160.60 |
% 201.05/160.60 | From (343) and (342) follows:
% 201.05/160.60 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.05/160.60 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.05/160.60 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.05/160.60 |
% 201.05/160.60 | Instantiating (345) with all_1033_0_33031, all_1033_1_33032 yields:
% 201.05/160.60 | (5302) (all_1033_1_33032 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_33031 = 0) & greater_or_equal(all_1033_1_33032, all_33_1_35) = all_1033_0_33031 & end_time(all_33_4_38) = all_1033_1_33032) | ( ~ (all_1033_1_33032 = 0) & environment(all_33_4_38) = all_1033_1_33032)
% 201.05/160.60 |
% 201.05/160.60 +-Applying beta-rule and splitting (3167), into two cases.
% 201.05/160.60 |-Branch one:
% 201.05/160.60 | (3117) all_777_0_5721 = 0
% 201.05/160.60 |
% 201.05/160.60 | Equations (3117) can reduce 3122 to:
% 201.05/160.60 | (62) $false
% 201.05/160.60 |
% 201.05/160.60 |-The branch is then unsatisfiable
% 201.05/160.60 |-Branch two:
% 201.05/160.60 | (3122) ~ (all_777_0_5721 = 0)
% 201.05/160.60 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.05/160.60 |
% 201.05/160.60 +-Applying beta-rule and splitting (5302), into two cases.
% 201.05/160.60 |-Branch one:
% 201.05/160.60 | (5307) (all_1033_1_33032 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_33031 = 0) & greater_or_equal(all_1033_1_33032, all_33_1_35) = all_1033_0_33031 & end_time(all_33_4_38) = all_1033_1_33032)
% 201.05/160.60 |
% 201.05/160.60 +-Applying beta-rule and splitting (5307), into two cases.
% 201.05/160.60 |-Branch one:
% 201.05/160.60 | (5308) all_1033_1_33032 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.05/160.60 |
% 201.05/160.60 | Applying alpha-rule on (5308) yields:
% 201.05/160.60 | (5309) all_1033_1_33032 = 0
% 201.05/160.60 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.05/160.60 | (3117) all_777_0_5721 = 0
% 201.05/160.60 |
% 201.05/160.60 | Equations (3117) can reduce 3122 to:
% 201.05/160.60 | (62) $false
% 201.05/160.60 |
% 201.05/160.60 |-The branch is then unsatisfiable
% 201.05/160.60 |-Branch two:
% 201.05/160.60 | (5313) ~ (all_1033_0_33031 = 0) & greater_or_equal(all_1033_1_33032, all_33_1_35) = all_1033_0_33031 & end_time(all_33_4_38) = all_1033_1_33032
% 201.05/160.60 |
% 201.05/160.60 | Applying alpha-rule on (5313) yields:
% 201.05/160.60 | (5314) ~ (all_1033_0_33031 = 0)
% 201.05/160.60 | (5315) greater_or_equal(all_1033_1_33032, all_33_1_35) = all_1033_0_33031
% 201.05/160.60 | (5316) end_time(all_33_4_38) = all_1033_1_33032
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (43) with all_33_4_38, all_1033_1_33032, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_33032, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.05/160.60 | (5317) all_1033_1_33032 = all_33_1_35
% 201.05/160.60 |
% 201.05/160.60 | From (5317) and (5315) follows:
% 201.05/160.60 | (5318) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_33031
% 201.05/160.60 |
% 201.05/160.60 | Instantiating formula (34) with all_1033_0_33031, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_33031, yields:
% 201.05/160.60 | (5319) all_1033_0_33031 = 0
% 201.05/160.60 |
% 201.05/160.60 | Equations (5319) can reduce 5314 to:
% 201.05/160.60 | (62) $false
% 201.05/160.60 |
% 201.05/160.60 |-The branch is then unsatisfiable
% 201.05/160.60 |-Branch two:
% 201.05/160.60 | (5321) ~ (all_1033_1_33032 = 0) & environment(all_33_4_38) = all_1033_1_33032
% 201.05/160.60 |
% 201.05/160.60 | Applying alpha-rule on (5321) yields:
% 201.05/160.61 | (5322) ~ (all_1033_1_33032 = 0)
% 201.05/160.61 | (5323) environment(all_33_4_38) = all_1033_1_33032
% 201.05/160.61 |
% 201.05/160.61 | Instantiating formula (35) with all_33_4_38, all_1033_1_33032, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_33032, environment(all_33_4_38) = 0, yields:
% 201.05/160.61 | (5309) all_1033_1_33032 = 0
% 201.05/160.61 |
% 201.05/160.61 | Equations (5309) can reduce 5322 to:
% 201.05/160.61 | (62) $false
% 201.05/160.61 |
% 201.05/160.61 |-The branch is then unsatisfiable
% 201.12/160.61 |-Branch two:
% 201.12/160.61 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 201.12/160.61 |
% 201.12/160.61 | Applying alpha-rule on (403) yields:
% 201.12/160.61 | (404) ~ (all_569_1_284 = 0)
% 201.12/160.61 | (405) environment(all_33_4_38) = all_569_1_284
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 201.12/160.61 | (406) all_569_1_284 = 0
% 201.12/160.61 |
% 201.12/160.61 | Equations (406) can reduce 404 to:
% 201.12/160.61 | (62) $false
% 201.12/160.61 |
% 201.12/160.61 |-The branch is then unsatisfiable
% 201.12/160.61 |-Branch two:
% 201.12/160.61 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 201.12/160.61 |
% 201.12/160.61 | Applying alpha-rule on (489) yields:
% 201.12/160.61 | (326) all_564_0_272 = 0
% 201.12/160.61 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 201.12/160.61 | (328) end_time(all_33_4_38) = all_564_1_273
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.12/160.61 | (329) all_564_1_273 = all_33_1_35
% 201.12/160.61 |
% 201.12/160.61 | From (329) and (328) follows:
% 201.12/160.61 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.12/160.61 |
% 201.12/160.61 +-Applying beta-rule and splitting (278), into two cases.
% 201.12/160.61 |-Branch one:
% 201.12/160.61 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 201.12/160.61 |
% 201.12/160.61 +-Applying beta-rule and splitting (338), into two cases.
% 201.12/160.61 |-Branch one:
% 201.12/160.61 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.12/160.61 |
% 201.12/160.61 | Applying alpha-rule on (339) yields:
% 201.12/160.61 | (340) all_569_0_283 = 0
% 201.12/160.61 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 201.12/160.61 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.12/160.61 | (343) all_569_1_284 = all_33_1_35
% 201.12/160.61 |
% 201.12/160.61 | From (343) and (342) follows:
% 201.12/160.61 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.12/160.61 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.12/160.61 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.12/160.61 |
% 201.12/160.61 | Instantiating (345) with all_1033_0_33575, all_1033_1_33576 yields:
% 201.12/160.61 | (5346) (all_1033_1_33576 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_33575 = 0) & greater_or_equal(all_1033_1_33576, all_33_1_35) = all_1033_0_33575 & end_time(all_33_4_38) = all_1033_1_33576) | ( ~ (all_1033_1_33576 = 0) & environment(all_33_4_38) = all_1033_1_33576)
% 201.12/160.61 |
% 201.12/160.61 +-Applying beta-rule and splitting (3167), into two cases.
% 201.12/160.61 |-Branch one:
% 201.12/160.61 | (3117) all_777_0_5721 = 0
% 201.12/160.61 |
% 201.12/160.61 | Equations (3117) can reduce 3122 to:
% 201.12/160.61 | (62) $false
% 201.12/160.61 |
% 201.12/160.61 |-The branch is then unsatisfiable
% 201.12/160.61 |-Branch two:
% 201.12/160.61 | (3122) ~ (all_777_0_5721 = 0)
% 201.12/160.61 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.12/160.61 |
% 201.12/160.61 +-Applying beta-rule and splitting (5346), into two cases.
% 201.12/160.61 |-Branch one:
% 201.12/160.61 | (5351) (all_1033_1_33576 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_33575 = 0) & greater_or_equal(all_1033_1_33576, all_33_1_35) = all_1033_0_33575 & end_time(all_33_4_38) = all_1033_1_33576)
% 201.12/160.61 |
% 201.12/160.61 +-Applying beta-rule and splitting (5351), into two cases.
% 201.12/160.61 |-Branch one:
% 201.12/160.61 | (5352) all_1033_1_33576 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.12/160.61 |
% 201.12/160.61 | Applying alpha-rule on (5352) yields:
% 201.12/160.61 | (5353) all_1033_1_33576 = 0
% 201.12/160.61 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.12/160.61 | (3117) all_777_0_5721 = 0
% 201.12/160.61 |
% 201.12/160.61 | Equations (3117) can reduce 3122 to:
% 201.12/160.61 | (62) $false
% 201.12/160.61 |
% 201.12/160.61 |-The branch is then unsatisfiable
% 201.12/160.61 |-Branch two:
% 201.12/160.61 | (5357) ~ (all_1033_0_33575 = 0) & greater_or_equal(all_1033_1_33576, all_33_1_35) = all_1033_0_33575 & end_time(all_33_4_38) = all_1033_1_33576
% 201.12/160.61 |
% 201.12/160.61 | Applying alpha-rule on (5357) yields:
% 201.12/160.61 | (5358) ~ (all_1033_0_33575 = 0)
% 201.12/160.61 | (5359) greater_or_equal(all_1033_1_33576, all_33_1_35) = all_1033_0_33575
% 201.12/160.61 | (5360) end_time(all_33_4_38) = all_1033_1_33576
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (43) with all_33_4_38, all_1033_1_33576, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_33576, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.12/160.61 | (5361) all_1033_1_33576 = all_33_1_35
% 201.12/160.61 |
% 201.12/160.61 | From (5361) and (5359) follows:
% 201.12/160.61 | (5362) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_33575
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (34) with all_1033_0_33575, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_33575, yields:
% 201.12/160.61 | (5363) all_1033_0_33575 = 0
% 201.12/160.61 |
% 201.12/160.61 | Equations (5363) can reduce 5358 to:
% 201.12/160.61 | (62) $false
% 201.12/160.61 |
% 201.12/160.61 |-The branch is then unsatisfiable
% 201.12/160.61 |-Branch two:
% 201.12/160.61 | (5365) ~ (all_1033_1_33576 = 0) & environment(all_33_4_38) = all_1033_1_33576
% 201.12/160.61 |
% 201.12/160.61 | Applying alpha-rule on (5365) yields:
% 201.12/160.61 | (5366) ~ (all_1033_1_33576 = 0)
% 201.12/160.61 | (5367) environment(all_33_4_38) = all_1033_1_33576
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (35) with all_33_4_38, all_1033_1_33576, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_33576, environment(all_33_4_38) = 0, yields:
% 201.12/160.61 | (5353) all_1033_1_33576 = 0
% 201.12/160.61 |
% 201.12/160.61 | Equations (5353) can reduce 5366 to:
% 201.12/160.61 | (62) $false
% 201.12/160.61 |
% 201.12/160.61 |-The branch is then unsatisfiable
% 201.12/160.61 |-Branch two:
% 201.12/160.61 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.12/160.61 |
% 201.12/160.61 | Applying alpha-rule on (371) yields:
% 201.12/160.61 | (340) all_569_0_283 = 0
% 201.12/160.61 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 201.12/160.61 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.12/160.61 | (343) all_569_1_284 = all_33_1_35
% 201.12/160.61 |
% 201.12/160.61 | From (343) and (342) follows:
% 201.12/160.61 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.12/160.61 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.12/160.61 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.12/160.61 |
% 201.12/160.61 | Instantiating (345) with all_1033_0_34119, all_1033_1_34120 yields:
% 201.12/160.61 | (5378) (all_1033_1_34120 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_34119 = 0) & greater_or_equal(all_1033_1_34120, all_33_1_35) = all_1033_0_34119 & end_time(all_33_4_38) = all_1033_1_34120) | ( ~ (all_1033_1_34120 = 0) & environment(all_33_4_38) = all_1033_1_34120)
% 201.12/160.61 |
% 201.12/160.61 +-Applying beta-rule and splitting (3167), into two cases.
% 201.12/160.61 |-Branch one:
% 201.12/160.61 | (3117) all_777_0_5721 = 0
% 201.12/160.61 |
% 201.12/160.61 | Equations (3117) can reduce 3122 to:
% 201.12/160.61 | (62) $false
% 201.12/160.61 |
% 201.12/160.61 |-The branch is then unsatisfiable
% 201.12/160.61 |-Branch two:
% 201.12/160.61 | (3122) ~ (all_777_0_5721 = 0)
% 201.12/160.61 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.12/160.61 |
% 201.12/160.61 +-Applying beta-rule and splitting (5378), into two cases.
% 201.12/160.61 |-Branch one:
% 201.12/160.61 | (5383) (all_1033_1_34120 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_34119 = 0) & greater_or_equal(all_1033_1_34120, all_33_1_35) = all_1033_0_34119 & end_time(all_33_4_38) = all_1033_1_34120)
% 201.12/160.61 |
% 201.12/160.61 +-Applying beta-rule and splitting (5383), into two cases.
% 201.12/160.61 |-Branch one:
% 201.12/160.61 | (5384) all_1033_1_34120 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.12/160.61 |
% 201.12/160.61 | Applying alpha-rule on (5384) yields:
% 201.12/160.61 | (5385) all_1033_1_34120 = 0
% 201.12/160.61 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.12/160.61 |
% 201.12/160.61 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.12/160.61 | (3117) all_777_0_5721 = 0
% 201.12/160.61 |
% 201.12/160.61 | Equations (3117) can reduce 3122 to:
% 201.12/160.61 | (62) $false
% 201.12/160.61 |
% 201.12/160.61 |-The branch is then unsatisfiable
% 201.12/160.61 |-Branch two:
% 201.12/160.61 | (5389) ~ (all_1033_0_34119 = 0) & greater_or_equal(all_1033_1_34120, all_33_1_35) = all_1033_0_34119 & end_time(all_33_4_38) = all_1033_1_34120
% 201.12/160.61 |
% 201.12/160.61 | Applying alpha-rule on (5389) yields:
% 201.12/160.61 | (5390) ~ (all_1033_0_34119 = 0)
% 201.12/160.61 | (5391) greater_or_equal(all_1033_1_34120, all_33_1_35) = all_1033_0_34119
% 201.12/160.62 | (5392) end_time(all_33_4_38) = all_1033_1_34120
% 201.12/160.62 |
% 201.12/160.62 | Instantiating formula (43) with all_33_4_38, all_1033_1_34120, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_34120, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.62 | (5393) all_1033_1_34120 = all_33_1_35
% 201.16/160.62 |
% 201.16/160.62 | From (5393) and (5391) follows:
% 201.16/160.62 | (5394) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_34119
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (34) with all_1033_0_34119, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_34119, yields:
% 201.16/160.62 | (5395) all_1033_0_34119 = 0
% 201.16/160.62 |
% 201.16/160.62 | Equations (5395) can reduce 5390 to:
% 201.16/160.62 | (62) $false
% 201.16/160.62 |
% 201.16/160.62 |-The branch is then unsatisfiable
% 201.16/160.62 |-Branch two:
% 201.16/160.62 | (5397) ~ (all_1033_1_34120 = 0) & environment(all_33_4_38) = all_1033_1_34120
% 201.16/160.62 |
% 201.16/160.62 | Applying alpha-rule on (5397) yields:
% 201.16/160.62 | (5398) ~ (all_1033_1_34120 = 0)
% 201.16/160.62 | (5399) environment(all_33_4_38) = all_1033_1_34120
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (35) with all_33_4_38, all_1033_1_34120, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_34120, environment(all_33_4_38) = 0, yields:
% 201.16/160.62 | (5385) all_1033_1_34120 = 0
% 201.16/160.62 |
% 201.16/160.62 | Equations (5385) can reduce 5398 to:
% 201.16/160.62 | (62) $false
% 201.16/160.62 |
% 201.16/160.62 |-The branch is then unsatisfiable
% 201.16/160.62 |-Branch two:
% 201.16/160.62 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 201.16/160.62 |
% 201.16/160.62 | Applying alpha-rule on (403) yields:
% 201.16/160.62 | (404) ~ (all_569_1_284 = 0)
% 201.16/160.62 | (405) environment(all_33_4_38) = all_569_1_284
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 201.16/160.62 | (406) all_569_1_284 = 0
% 201.16/160.62 |
% 201.16/160.62 | Equations (406) can reduce 404 to:
% 201.16/160.62 | (62) $false
% 201.16/160.62 |
% 201.16/160.62 |-The branch is then unsatisfiable
% 201.16/160.62 |-Branch two:
% 201.16/160.62 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 201.16/160.62 |
% 201.16/160.62 | Applying alpha-rule on (653) yields:
% 201.16/160.62 | (654) ~ (all_564_1_273 = 0)
% 201.16/160.62 | (655) environment(all_33_4_38) = all_564_1_273
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 201.16/160.62 | (656) all_564_1_273 = 0
% 201.16/160.62 |
% 201.16/160.62 | Equations (656) can reduce 654 to:
% 201.16/160.62 | (62) $false
% 201.16/160.62 |
% 201.16/160.62 |-The branch is then unsatisfiable
% 201.16/160.62 |-Branch two:
% 201.16/160.62 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 201.16/160.62 |
% 201.16/160.62 | Applying alpha-rule on (408) yields:
% 201.16/160.62 | (333) all_568_0_281 = 0
% 201.16/160.62 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 201.16/160.62 | (335) end_time(all_33_4_38) = all_568_1_282
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.62 | (336) all_568_1_282 = all_33_1_35
% 201.16/160.62 |
% 201.16/160.62 | From (336) and (335) follows:
% 201.16/160.62 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.62 |
% 201.16/160.62 +-Applying beta-rule and splitting (276), into two cases.
% 201.16/160.62 |-Branch one:
% 201.16/160.62 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 201.16/160.62 |
% 201.16/160.62 +-Applying beta-rule and splitting (324), into two cases.
% 201.16/160.62 |-Branch one:
% 201.16/160.62 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 201.16/160.62 |
% 201.16/160.62 | Applying alpha-rule on (325) yields:
% 201.16/160.62 | (326) all_564_0_272 = 0
% 201.16/160.62 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 201.16/160.62 | (328) end_time(all_33_4_38) = all_564_1_273
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.62 | (329) all_564_1_273 = all_33_1_35
% 201.16/160.62 |
% 201.16/160.62 | From (329) and (328) follows:
% 201.16/160.62 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.62 |
% 201.16/160.62 +-Applying beta-rule and splitting (278), into two cases.
% 201.16/160.62 |-Branch one:
% 201.16/160.62 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 201.16/160.62 |
% 201.16/160.62 +-Applying beta-rule and splitting (338), into two cases.
% 201.16/160.62 |-Branch one:
% 201.16/160.62 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.62 |
% 201.16/160.62 | Applying alpha-rule on (339) yields:
% 201.16/160.62 | (340) all_569_0_283 = 0
% 201.16/160.62 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 201.16/160.62 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.62 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.62 |
% 201.16/160.62 | From (343) and (342) follows:
% 201.16/160.62 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.62 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.62 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.62 |
% 201.16/160.62 | Instantiating (345) with all_1033_0_34663, all_1033_1_34664 yields:
% 201.16/160.62 | (5434) (all_1033_1_34664 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_34663 = 0) & greater_or_equal(all_1033_1_34664, all_33_1_35) = all_1033_0_34663 & end_time(all_33_4_38) = all_1033_1_34664) | ( ~ (all_1033_1_34664 = 0) & environment(all_33_4_38) = all_1033_1_34664)
% 201.16/160.62 |
% 201.16/160.62 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.62 |-Branch one:
% 201.16/160.62 | (3117) all_777_0_5721 = 0
% 201.16/160.62 |
% 201.16/160.62 | Equations (3117) can reduce 3122 to:
% 201.16/160.62 | (62) $false
% 201.16/160.62 |
% 201.16/160.62 |-The branch is then unsatisfiable
% 201.16/160.62 |-Branch two:
% 201.16/160.62 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.62 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.62 |
% 201.16/160.62 +-Applying beta-rule and splitting (5434), into two cases.
% 201.16/160.62 |-Branch one:
% 201.16/160.62 | (5439) (all_1033_1_34664 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_34663 = 0) & greater_or_equal(all_1033_1_34664, all_33_1_35) = all_1033_0_34663 & end_time(all_33_4_38) = all_1033_1_34664)
% 201.16/160.62 |
% 201.16/160.62 +-Applying beta-rule and splitting (5439), into two cases.
% 201.16/160.62 |-Branch one:
% 201.16/160.62 | (5440) all_1033_1_34664 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.62 |
% 201.16/160.62 | Applying alpha-rule on (5440) yields:
% 201.16/160.62 | (5441) all_1033_1_34664 = 0
% 201.16/160.62 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.62 | (3117) all_777_0_5721 = 0
% 201.16/160.62 |
% 201.16/160.62 | Equations (3117) can reduce 3122 to:
% 201.16/160.62 | (62) $false
% 201.16/160.62 |
% 201.16/160.62 |-The branch is then unsatisfiable
% 201.16/160.62 |-Branch two:
% 201.16/160.62 | (5445) ~ (all_1033_0_34663 = 0) & greater_or_equal(all_1033_1_34664, all_33_1_35) = all_1033_0_34663 & end_time(all_33_4_38) = all_1033_1_34664
% 201.16/160.62 |
% 201.16/160.62 | Applying alpha-rule on (5445) yields:
% 201.16/160.62 | (5446) ~ (all_1033_0_34663 = 0)
% 201.16/160.62 | (5447) greater_or_equal(all_1033_1_34664, all_33_1_35) = all_1033_0_34663
% 201.16/160.62 | (5448) end_time(all_33_4_38) = all_1033_1_34664
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (43) with all_33_4_38, all_1033_1_34664, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_34664, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.62 | (5449) all_1033_1_34664 = all_33_1_35
% 201.16/160.62 |
% 201.16/160.62 | From (5449) and (5447) follows:
% 201.16/160.62 | (5450) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_34663
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (34) with all_1033_0_34663, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_34663, yields:
% 201.16/160.62 | (5451) all_1033_0_34663 = 0
% 201.16/160.62 |
% 201.16/160.62 | Equations (5451) can reduce 5446 to:
% 201.16/160.62 | (62) $false
% 201.16/160.62 |
% 201.16/160.62 |-The branch is then unsatisfiable
% 201.16/160.62 |-Branch two:
% 201.16/160.62 | (5453) ~ (all_1033_1_34664 = 0) & environment(all_33_4_38) = all_1033_1_34664
% 201.16/160.62 |
% 201.16/160.62 | Applying alpha-rule on (5453) yields:
% 201.16/160.62 | (5454) ~ (all_1033_1_34664 = 0)
% 201.16/160.62 | (5455) environment(all_33_4_38) = all_1033_1_34664
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (35) with all_33_4_38, all_1033_1_34664, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_34664, environment(all_33_4_38) = 0, yields:
% 201.16/160.62 | (5441) all_1033_1_34664 = 0
% 201.16/160.62 |
% 201.16/160.62 | Equations (5441) can reduce 5454 to:
% 201.16/160.62 | (62) $false
% 201.16/160.62 |
% 201.16/160.62 |-The branch is then unsatisfiable
% 201.16/160.62 |-Branch two:
% 201.16/160.62 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.62 |
% 201.16/160.62 | Applying alpha-rule on (371) yields:
% 201.16/160.62 | (340) all_569_0_283 = 0
% 201.16/160.62 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 201.16/160.62 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.62 |
% 201.16/160.62 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.62 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.62 |
% 201.16/160.62 | From (343) and (342) follows:
% 201.16/160.63 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.63 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.63 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.63 |
% 201.16/160.63 | Instantiating (345) with all_1033_0_35207, all_1033_1_35208 yields:
% 201.16/160.63 | (5466) (all_1033_1_35208 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_35207 = 0) & greater_or_equal(all_1033_1_35208, all_33_1_35) = all_1033_0_35207 & end_time(all_33_4_38) = all_1033_1_35208) | ( ~ (all_1033_1_35208 = 0) & environment(all_33_4_38) = all_1033_1_35208)
% 201.16/160.63 |
% 201.16/160.63 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.63 |-Branch one:
% 201.16/160.63 | (3117) all_777_0_5721 = 0
% 201.16/160.63 |
% 201.16/160.63 | Equations (3117) can reduce 3122 to:
% 201.16/160.63 | (62) $false
% 201.16/160.63 |
% 201.16/160.63 |-The branch is then unsatisfiable
% 201.16/160.63 |-Branch two:
% 201.16/160.63 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.63 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.63 |
% 201.16/160.63 +-Applying beta-rule and splitting (5466), into two cases.
% 201.16/160.63 |-Branch one:
% 201.16/160.63 | (5471) (all_1033_1_35208 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_35207 = 0) & greater_or_equal(all_1033_1_35208, all_33_1_35) = all_1033_0_35207 & end_time(all_33_4_38) = all_1033_1_35208)
% 201.16/160.63 |
% 201.16/160.63 +-Applying beta-rule and splitting (5471), into two cases.
% 201.16/160.63 |-Branch one:
% 201.16/160.63 | (5472) all_1033_1_35208 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.63 |
% 201.16/160.63 | Applying alpha-rule on (5472) yields:
% 201.16/160.63 | (5473) all_1033_1_35208 = 0
% 201.16/160.63 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.63 | (3117) all_777_0_5721 = 0
% 201.16/160.63 |
% 201.16/160.63 | Equations (3117) can reduce 3122 to:
% 201.16/160.63 | (62) $false
% 201.16/160.63 |
% 201.16/160.63 |-The branch is then unsatisfiable
% 201.16/160.63 |-Branch two:
% 201.16/160.63 | (5477) ~ (all_1033_0_35207 = 0) & greater_or_equal(all_1033_1_35208, all_33_1_35) = all_1033_0_35207 & end_time(all_33_4_38) = all_1033_1_35208
% 201.16/160.63 |
% 201.16/160.63 | Applying alpha-rule on (5477) yields:
% 201.16/160.63 | (5478) ~ (all_1033_0_35207 = 0)
% 201.16/160.63 | (5479) greater_or_equal(all_1033_1_35208, all_33_1_35) = all_1033_0_35207
% 201.16/160.63 | (5480) end_time(all_33_4_38) = all_1033_1_35208
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (43) with all_33_4_38, all_1033_1_35208, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_35208, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.63 | (5481) all_1033_1_35208 = all_33_1_35
% 201.16/160.63 |
% 201.16/160.63 | From (5481) and (5479) follows:
% 201.16/160.63 | (5482) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_35207
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (34) with all_1033_0_35207, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_35207, yields:
% 201.16/160.63 | (5483) all_1033_0_35207 = 0
% 201.16/160.63 |
% 201.16/160.63 | Equations (5483) can reduce 5478 to:
% 201.16/160.63 | (62) $false
% 201.16/160.63 |
% 201.16/160.63 |-The branch is then unsatisfiable
% 201.16/160.63 |-Branch two:
% 201.16/160.63 | (5485) ~ (all_1033_1_35208 = 0) & environment(all_33_4_38) = all_1033_1_35208
% 201.16/160.63 |
% 201.16/160.63 | Applying alpha-rule on (5485) yields:
% 201.16/160.63 | (5486) ~ (all_1033_1_35208 = 0)
% 201.16/160.63 | (5487) environment(all_33_4_38) = all_1033_1_35208
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (35) with all_33_4_38, all_1033_1_35208, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_35208, environment(all_33_4_38) = 0, yields:
% 201.16/160.63 | (5473) all_1033_1_35208 = 0
% 201.16/160.63 |
% 201.16/160.63 | Equations (5473) can reduce 5486 to:
% 201.16/160.63 | (62) $false
% 201.16/160.63 |
% 201.16/160.63 |-The branch is then unsatisfiable
% 201.16/160.63 |-Branch two:
% 201.16/160.63 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 201.16/160.63 |
% 201.16/160.63 | Applying alpha-rule on (403) yields:
% 201.16/160.63 | (404) ~ (all_569_1_284 = 0)
% 201.16/160.63 | (405) environment(all_33_4_38) = all_569_1_284
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 201.16/160.63 | (406) all_569_1_284 = 0
% 201.16/160.63 |
% 201.16/160.63 | Equations (406) can reduce 404 to:
% 201.16/160.63 | (62) $false
% 201.16/160.63 |
% 201.16/160.63 |-The branch is then unsatisfiable
% 201.16/160.63 |-Branch two:
% 201.16/160.63 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 201.16/160.63 |
% 201.16/160.63 | Applying alpha-rule on (489) yields:
% 201.16/160.63 | (326) all_564_0_272 = 0
% 201.16/160.63 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 201.16/160.63 | (328) end_time(all_33_4_38) = all_564_1_273
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.63 | (329) all_564_1_273 = all_33_1_35
% 201.16/160.63 |
% 201.16/160.63 | From (329) and (328) follows:
% 201.16/160.63 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.63 |
% 201.16/160.63 +-Applying beta-rule and splitting (278), into two cases.
% 201.16/160.63 |-Branch one:
% 201.16/160.63 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 201.16/160.63 |
% 201.16/160.63 +-Applying beta-rule and splitting (338), into two cases.
% 201.16/160.63 |-Branch one:
% 201.16/160.63 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.63 |
% 201.16/160.63 | Applying alpha-rule on (339) yields:
% 201.16/160.63 | (340) all_569_0_283 = 0
% 201.16/160.63 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 201.16/160.63 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.63 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.63 |
% 201.16/160.63 | From (343) and (342) follows:
% 201.16/160.63 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.63 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.63 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.63 |
% 201.16/160.63 | Instantiating (345) with all_1033_0_35751, all_1033_1_35752 yields:
% 201.16/160.63 | (5510) (all_1033_1_35752 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_35751 = 0) & greater_or_equal(all_1033_1_35752, all_33_1_35) = all_1033_0_35751 & end_time(all_33_4_38) = all_1033_1_35752) | ( ~ (all_1033_1_35752 = 0) & environment(all_33_4_38) = all_1033_1_35752)
% 201.16/160.63 |
% 201.16/160.63 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.63 |-Branch one:
% 201.16/160.63 | (3117) all_777_0_5721 = 0
% 201.16/160.63 |
% 201.16/160.63 | Equations (3117) can reduce 3122 to:
% 201.16/160.63 | (62) $false
% 201.16/160.63 |
% 201.16/160.63 |-The branch is then unsatisfiable
% 201.16/160.63 |-Branch two:
% 201.16/160.63 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.63 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.63 |
% 201.16/160.63 +-Applying beta-rule and splitting (5510), into two cases.
% 201.16/160.63 |-Branch one:
% 201.16/160.63 | (5515) (all_1033_1_35752 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_35751 = 0) & greater_or_equal(all_1033_1_35752, all_33_1_35) = all_1033_0_35751 & end_time(all_33_4_38) = all_1033_1_35752)
% 201.16/160.63 |
% 201.16/160.63 +-Applying beta-rule and splitting (5515), into two cases.
% 201.16/160.63 |-Branch one:
% 201.16/160.63 | (5516) all_1033_1_35752 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.63 |
% 201.16/160.63 | Applying alpha-rule on (5516) yields:
% 201.16/160.63 | (5517) all_1033_1_35752 = 0
% 201.16/160.63 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.63 | (3117) all_777_0_5721 = 0
% 201.16/160.63 |
% 201.16/160.63 | Equations (3117) can reduce 3122 to:
% 201.16/160.63 | (62) $false
% 201.16/160.63 |
% 201.16/160.63 |-The branch is then unsatisfiable
% 201.16/160.63 |-Branch two:
% 201.16/160.63 | (5521) ~ (all_1033_0_35751 = 0) & greater_or_equal(all_1033_1_35752, all_33_1_35) = all_1033_0_35751 & end_time(all_33_4_38) = all_1033_1_35752
% 201.16/160.63 |
% 201.16/160.63 | Applying alpha-rule on (5521) yields:
% 201.16/160.63 | (5522) ~ (all_1033_0_35751 = 0)
% 201.16/160.63 | (5523) greater_or_equal(all_1033_1_35752, all_33_1_35) = all_1033_0_35751
% 201.16/160.63 | (5524) end_time(all_33_4_38) = all_1033_1_35752
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (43) with all_33_4_38, all_1033_1_35752, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_35752, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.63 | (5525) all_1033_1_35752 = all_33_1_35
% 201.16/160.63 |
% 201.16/160.63 | From (5525) and (5523) follows:
% 201.16/160.63 | (5526) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_35751
% 201.16/160.63 |
% 201.16/160.63 | Instantiating formula (34) with all_1033_0_35751, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_35751, yields:
% 201.16/160.63 | (5527) all_1033_0_35751 = 0
% 201.16/160.64 |
% 201.16/160.64 | Equations (5527) can reduce 5522 to:
% 201.16/160.64 | (62) $false
% 201.16/160.64 |
% 201.16/160.64 |-The branch is then unsatisfiable
% 201.16/160.64 |-Branch two:
% 201.16/160.64 | (5529) ~ (all_1033_1_35752 = 0) & environment(all_33_4_38) = all_1033_1_35752
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (5529) yields:
% 201.16/160.64 | (5530) ~ (all_1033_1_35752 = 0)
% 201.16/160.64 | (5531) environment(all_33_4_38) = all_1033_1_35752
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (35) with all_33_4_38, all_1033_1_35752, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_35752, environment(all_33_4_38) = 0, yields:
% 201.16/160.64 | (5517) all_1033_1_35752 = 0
% 201.16/160.64 |
% 201.16/160.64 | Equations (5517) can reduce 5530 to:
% 201.16/160.64 | (62) $false
% 201.16/160.64 |
% 201.16/160.64 |-The branch is then unsatisfiable
% 201.16/160.64 |-Branch two:
% 201.16/160.64 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (371) yields:
% 201.16/160.64 | (340) all_569_0_283 = 0
% 201.16/160.64 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 201.16/160.64 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.64 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 | From (343) and (342) follows:
% 201.16/160.64 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.64 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.64 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.64 |
% 201.16/160.64 | Instantiating (345) with all_1033_0_36295, all_1033_1_36296 yields:
% 201.16/160.64 | (5542) (all_1033_1_36296 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_36295 = 0) & greater_or_equal(all_1033_1_36296, all_33_1_35) = all_1033_0_36295 & end_time(all_33_4_38) = all_1033_1_36296) | ( ~ (all_1033_1_36296 = 0) & environment(all_33_4_38) = all_1033_1_36296)
% 201.16/160.64 |
% 201.16/160.64 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.64 |-Branch one:
% 201.16/160.64 | (3117) all_777_0_5721 = 0
% 201.16/160.64 |
% 201.16/160.64 | Equations (3117) can reduce 3122 to:
% 201.16/160.64 | (62) $false
% 201.16/160.64 |
% 201.16/160.64 |-The branch is then unsatisfiable
% 201.16/160.64 |-Branch two:
% 201.16/160.64 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.64 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.64 |
% 201.16/160.64 +-Applying beta-rule and splitting (5542), into two cases.
% 201.16/160.64 |-Branch one:
% 201.16/160.64 | (5547) (all_1033_1_36296 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_36295 = 0) & greater_or_equal(all_1033_1_36296, all_33_1_35) = all_1033_0_36295 & end_time(all_33_4_38) = all_1033_1_36296)
% 201.16/160.64 |
% 201.16/160.64 +-Applying beta-rule and splitting (5547), into two cases.
% 201.16/160.64 |-Branch one:
% 201.16/160.64 | (5548) all_1033_1_36296 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (5548) yields:
% 201.16/160.64 | (5549) all_1033_1_36296 = 0
% 201.16/160.64 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.64 | (3117) all_777_0_5721 = 0
% 201.16/160.64 |
% 201.16/160.64 | Equations (3117) can reduce 3122 to:
% 201.16/160.64 | (62) $false
% 201.16/160.64 |
% 201.16/160.64 |-The branch is then unsatisfiable
% 201.16/160.64 |-Branch two:
% 201.16/160.64 | (5553) ~ (all_1033_0_36295 = 0) & greater_or_equal(all_1033_1_36296, all_33_1_35) = all_1033_0_36295 & end_time(all_33_4_38) = all_1033_1_36296
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (5553) yields:
% 201.16/160.64 | (5554) ~ (all_1033_0_36295 = 0)
% 201.16/160.64 | (5555) greater_or_equal(all_1033_1_36296, all_33_1_35) = all_1033_0_36295
% 201.16/160.64 | (5556) end_time(all_33_4_38) = all_1033_1_36296
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (43) with all_33_4_38, all_1033_1_36296, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_36296, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.64 | (5557) all_1033_1_36296 = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 | From (5557) and (5555) follows:
% 201.16/160.64 | (5558) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_36295
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (34) with all_1033_0_36295, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_36295, yields:
% 201.16/160.64 | (5559) all_1033_0_36295 = 0
% 201.16/160.64 |
% 201.16/160.64 | Equations (5559) can reduce 5554 to:
% 201.16/160.64 | (62) $false
% 201.16/160.64 |
% 201.16/160.64 |-The branch is then unsatisfiable
% 201.16/160.64 |-Branch two:
% 201.16/160.64 | (5561) ~ (all_1033_1_36296 = 0) & environment(all_33_4_38) = all_1033_1_36296
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (5561) yields:
% 201.16/160.64 | (5562) ~ (all_1033_1_36296 = 0)
% 201.16/160.64 | (5563) environment(all_33_4_38) = all_1033_1_36296
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (35) with all_33_4_38, all_1033_1_36296, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_36296, environment(all_33_4_38) = 0, yields:
% 201.16/160.64 | (5549) all_1033_1_36296 = 0
% 201.16/160.64 |
% 201.16/160.64 | Equations (5549) can reduce 5562 to:
% 201.16/160.64 | (62) $false
% 201.16/160.64 |
% 201.16/160.64 |-The branch is then unsatisfiable
% 201.16/160.64 |-Branch two:
% 201.16/160.64 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (403) yields:
% 201.16/160.64 | (404) ~ (all_569_1_284 = 0)
% 201.16/160.64 | (405) environment(all_33_4_38) = all_569_1_284
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 201.16/160.64 | (406) all_569_1_284 = 0
% 201.16/160.64 |
% 201.16/160.64 | Equations (406) can reduce 404 to:
% 201.16/160.64 | (62) $false
% 201.16/160.64 |
% 201.16/160.64 |-The branch is then unsatisfiable
% 201.16/160.64 |-Branch two:
% 201.16/160.64 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (653) yields:
% 201.16/160.64 | (654) ~ (all_564_1_273 = 0)
% 201.16/160.64 | (655) environment(all_33_4_38) = all_564_1_273
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 201.16/160.64 | (656) all_564_1_273 = 0
% 201.16/160.64 |
% 201.16/160.64 | Equations (656) can reduce 654 to:
% 201.16/160.64 | (62) $false
% 201.16/160.64 |
% 201.16/160.64 |-The branch is then unsatisfiable
% 201.16/160.64 |-Branch two:
% 201.16/160.64 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (484) yields:
% 201.16/160.64 | (485) ~ (all_568_1_282 = 0)
% 201.16/160.64 | (486) environment(all_33_4_38) = all_568_1_282
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 201.16/160.64 | (487) all_568_1_282 = 0
% 201.16/160.64 |
% 201.16/160.64 | Equations (487) can reduce 485 to:
% 201.16/160.64 | (62) $false
% 201.16/160.64 |
% 201.16/160.64 |-The branch is then unsatisfiable
% 201.16/160.64 |-Branch two:
% 201.16/160.64 | (1700) all_554_0_249 = 0 & greater(all_114_2_98, all_554_1_250) = 0 & end_time(all_33_4_38) = all_554_1_250
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (1700) yields:
% 201.16/160.64 | (305) all_554_0_249 = 0
% 201.16/160.64 | (1702) greater(all_114_2_98, all_554_1_250) = 0
% 201.16/160.64 | (307) end_time(all_33_4_38) = all_554_1_250
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (43) with all_33_4_38, all_554_1_250, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_554_1_250, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.64 | (308) all_554_1_250 = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 | From (308) and (307) follows:
% 201.16/160.64 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 +-Applying beta-rule and splitting (277), into two cases.
% 201.16/160.64 |-Branch one:
% 201.16/160.64 | (331) (all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282) | (all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282)
% 201.16/160.64 |
% 201.16/160.64 +-Applying beta-rule and splitting (331), into two cases.
% 201.16/160.64 |-Branch one:
% 201.16/160.64 | (332) all_568_0_281 = 0 & greater_or_equal(all_568_1_282, all_51_2_49) = 0 & end_time(all_33_4_38) = all_568_1_282
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (332) yields:
% 201.16/160.64 | (333) all_568_0_281 = 0
% 201.16/160.64 | (334) greater_or_equal(all_568_1_282, all_51_2_49) = 0
% 201.16/160.64 | (335) end_time(all_33_4_38) = all_568_1_282
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.64 | (336) all_568_1_282 = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 | From (336) and (335) follows:
% 201.16/160.64 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 +-Applying beta-rule and splitting (276), into two cases.
% 201.16/160.64 |-Branch one:
% 201.16/160.64 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 201.16/160.64 |
% 201.16/160.64 +-Applying beta-rule and splitting (324), into two cases.
% 201.16/160.64 |-Branch one:
% 201.16/160.64 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (325) yields:
% 201.16/160.64 | (326) all_564_0_272 = 0
% 201.16/160.64 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 201.16/160.64 | (328) end_time(all_33_4_38) = all_564_1_273
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.64 | (329) all_564_1_273 = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 | From (329) and (328) follows:
% 201.16/160.64 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 +-Applying beta-rule and splitting (278), into two cases.
% 201.16/160.64 |-Branch one:
% 201.16/160.64 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 201.16/160.64 |
% 201.16/160.64 +-Applying beta-rule and splitting (338), into two cases.
% 201.16/160.64 |-Branch one:
% 201.16/160.64 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.64 |
% 201.16/160.64 | Applying alpha-rule on (339) yields:
% 201.16/160.64 | (340) all_569_0_283 = 0
% 201.16/160.64 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 201.16/160.64 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.64 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 | From (343) and (342) follows:
% 201.16/160.64 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.64 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.64 |
% 201.16/160.64 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.64 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.64 |
% 201.16/160.64 | Instantiating (345) with all_1033_0_36839, all_1033_1_36840 yields:
% 201.16/160.64 | (5610) (all_1033_1_36840 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_36839 = 0) & greater_or_equal(all_1033_1_36840, all_33_1_35) = all_1033_0_36839 & end_time(all_33_4_38) = all_1033_1_36840) | ( ~ (all_1033_1_36840 = 0) & environment(all_33_4_38) = all_1033_1_36840)
% 201.16/160.65 |
% 201.16/160.65 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.65 |-Branch one:
% 201.16/160.65 | (3117) all_777_0_5721 = 0
% 201.16/160.65 |
% 201.16/160.65 | Equations (3117) can reduce 3122 to:
% 201.16/160.65 | (62) $false
% 201.16/160.65 |
% 201.16/160.65 |-The branch is then unsatisfiable
% 201.16/160.65 |-Branch two:
% 201.16/160.65 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.65 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.65 |
% 201.16/160.65 +-Applying beta-rule and splitting (5610), into two cases.
% 201.16/160.65 |-Branch one:
% 201.16/160.65 | (5615) (all_1033_1_36840 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_36839 = 0) & greater_or_equal(all_1033_1_36840, all_33_1_35) = all_1033_0_36839 & end_time(all_33_4_38) = all_1033_1_36840)
% 201.16/160.65 |
% 201.16/160.65 +-Applying beta-rule and splitting (5615), into two cases.
% 201.16/160.65 |-Branch one:
% 201.16/160.65 | (5616) all_1033_1_36840 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.65 |
% 201.16/160.65 | Applying alpha-rule on (5616) yields:
% 201.16/160.65 | (5617) all_1033_1_36840 = 0
% 201.16/160.65 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.65 | (3117) all_777_0_5721 = 0
% 201.16/160.65 |
% 201.16/160.65 | Equations (3117) can reduce 3122 to:
% 201.16/160.65 | (62) $false
% 201.16/160.65 |
% 201.16/160.65 |-The branch is then unsatisfiable
% 201.16/160.65 |-Branch two:
% 201.16/160.65 | (5621) ~ (all_1033_0_36839 = 0) & greater_or_equal(all_1033_1_36840, all_33_1_35) = all_1033_0_36839 & end_time(all_33_4_38) = all_1033_1_36840
% 201.16/160.65 |
% 201.16/160.65 | Applying alpha-rule on (5621) yields:
% 201.16/160.65 | (5622) ~ (all_1033_0_36839 = 0)
% 201.16/160.65 | (5623) greater_or_equal(all_1033_1_36840, all_33_1_35) = all_1033_0_36839
% 201.16/160.65 | (5624) end_time(all_33_4_38) = all_1033_1_36840
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (43) with all_33_4_38, all_1033_1_36840, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_36840, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.65 | (5625) all_1033_1_36840 = all_33_1_35
% 201.16/160.65 |
% 201.16/160.65 | From (5625) and (5623) follows:
% 201.16/160.65 | (5626) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_36839
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (34) with all_1033_0_36839, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_36839, yields:
% 201.16/160.65 | (5627) all_1033_0_36839 = 0
% 201.16/160.65 |
% 201.16/160.65 | Equations (5627) can reduce 5622 to:
% 201.16/160.65 | (62) $false
% 201.16/160.65 |
% 201.16/160.65 |-The branch is then unsatisfiable
% 201.16/160.65 |-Branch two:
% 201.16/160.65 | (5629) ~ (all_1033_1_36840 = 0) & environment(all_33_4_38) = all_1033_1_36840
% 201.16/160.65 |
% 201.16/160.65 | Applying alpha-rule on (5629) yields:
% 201.16/160.65 | (5630) ~ (all_1033_1_36840 = 0)
% 201.16/160.65 | (5631) environment(all_33_4_38) = all_1033_1_36840
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (35) with all_33_4_38, all_1033_1_36840, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_36840, environment(all_33_4_38) = 0, yields:
% 201.16/160.65 | (5617) all_1033_1_36840 = 0
% 201.16/160.65 |
% 201.16/160.65 | Equations (5617) can reduce 5630 to:
% 201.16/160.65 | (62) $false
% 201.16/160.65 |
% 201.16/160.65 |-The branch is then unsatisfiable
% 201.16/160.65 |-Branch two:
% 201.16/160.65 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.65 |
% 201.16/160.65 | Applying alpha-rule on (371) yields:
% 201.16/160.65 | (340) all_569_0_283 = 0
% 201.16/160.65 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 201.16/160.65 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.65 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.65 |
% 201.16/160.65 | From (343) and (342) follows:
% 201.16/160.65 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.65 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.65 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.65 |
% 201.16/160.65 | Instantiating (345) with all_1033_0_37383, all_1033_1_37384 yields:
% 201.16/160.65 | (5642) (all_1033_1_37384 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_37383 = 0) & greater_or_equal(all_1033_1_37384, all_33_1_35) = all_1033_0_37383 & end_time(all_33_4_38) = all_1033_1_37384) | ( ~ (all_1033_1_37384 = 0) & environment(all_33_4_38) = all_1033_1_37384)
% 201.16/160.65 |
% 201.16/160.65 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.65 |-Branch one:
% 201.16/160.65 | (3117) all_777_0_5721 = 0
% 201.16/160.65 |
% 201.16/160.65 | Equations (3117) can reduce 3122 to:
% 201.16/160.65 | (62) $false
% 201.16/160.65 |
% 201.16/160.65 |-The branch is then unsatisfiable
% 201.16/160.65 |-Branch two:
% 201.16/160.65 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.65 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.65 |
% 201.16/160.65 +-Applying beta-rule and splitting (5642), into two cases.
% 201.16/160.65 |-Branch one:
% 201.16/160.65 | (5647) (all_1033_1_37384 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_37383 = 0) & greater_or_equal(all_1033_1_37384, all_33_1_35) = all_1033_0_37383 & end_time(all_33_4_38) = all_1033_1_37384)
% 201.16/160.65 |
% 201.16/160.65 +-Applying beta-rule and splitting (5647), into two cases.
% 201.16/160.65 |-Branch one:
% 201.16/160.65 | (5648) all_1033_1_37384 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.65 |
% 201.16/160.65 | Applying alpha-rule on (5648) yields:
% 201.16/160.65 | (5649) all_1033_1_37384 = 0
% 201.16/160.65 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.65 | (3117) all_777_0_5721 = 0
% 201.16/160.65 |
% 201.16/160.65 | Equations (3117) can reduce 3122 to:
% 201.16/160.65 | (62) $false
% 201.16/160.65 |
% 201.16/160.65 |-The branch is then unsatisfiable
% 201.16/160.65 |-Branch two:
% 201.16/160.65 | (5653) ~ (all_1033_0_37383 = 0) & greater_or_equal(all_1033_1_37384, all_33_1_35) = all_1033_0_37383 & end_time(all_33_4_38) = all_1033_1_37384
% 201.16/160.65 |
% 201.16/160.65 | Applying alpha-rule on (5653) yields:
% 201.16/160.65 | (5654) ~ (all_1033_0_37383 = 0)
% 201.16/160.65 | (5655) greater_or_equal(all_1033_1_37384, all_33_1_35) = all_1033_0_37383
% 201.16/160.65 | (5656) end_time(all_33_4_38) = all_1033_1_37384
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (43) with all_33_4_38, all_1033_1_37384, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_37384, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.65 | (5657) all_1033_1_37384 = all_33_1_35
% 201.16/160.65 |
% 201.16/160.65 | From (5657) and (5655) follows:
% 201.16/160.65 | (5658) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_37383
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (34) with all_1033_0_37383, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_37383, yields:
% 201.16/160.65 | (5659) all_1033_0_37383 = 0
% 201.16/160.65 |
% 201.16/160.65 | Equations (5659) can reduce 5654 to:
% 201.16/160.65 | (62) $false
% 201.16/160.65 |
% 201.16/160.65 |-The branch is then unsatisfiable
% 201.16/160.65 |-Branch two:
% 201.16/160.65 | (5661) ~ (all_1033_1_37384 = 0) & environment(all_33_4_38) = all_1033_1_37384
% 201.16/160.65 |
% 201.16/160.65 | Applying alpha-rule on (5661) yields:
% 201.16/160.65 | (5662) ~ (all_1033_1_37384 = 0)
% 201.16/160.65 | (5663) environment(all_33_4_38) = all_1033_1_37384
% 201.16/160.65 |
% 201.16/160.65 | Instantiating formula (35) with all_33_4_38, all_1033_1_37384, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_37384, environment(all_33_4_38) = 0, yields:
% 201.16/160.65 | (5649) all_1033_1_37384 = 0
% 201.16/160.65 |
% 201.16/160.65 | Equations (5649) can reduce 5662 to:
% 201.16/160.65 | (62) $false
% 201.16/160.66 |
% 201.16/160.66 |-The branch is then unsatisfiable
% 201.16/160.66 |-Branch two:
% 201.16/160.66 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 201.16/160.66 |
% 201.16/160.66 | Applying alpha-rule on (403) yields:
% 201.16/160.66 | (404) ~ (all_569_1_284 = 0)
% 201.16/160.66 | (405) environment(all_33_4_38) = all_569_1_284
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 201.16/160.66 | (406) all_569_1_284 = 0
% 201.16/160.66 |
% 201.16/160.66 | Equations (406) can reduce 404 to:
% 201.16/160.66 | (62) $false
% 201.16/160.66 |
% 201.16/160.66 |-The branch is then unsatisfiable
% 201.16/160.66 |-Branch two:
% 201.16/160.66 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 201.16/160.66 |
% 201.16/160.66 | Applying alpha-rule on (489) yields:
% 201.16/160.66 | (326) all_564_0_272 = 0
% 201.16/160.66 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 201.16/160.66 | (328) end_time(all_33_4_38) = all_564_1_273
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.66 | (329) all_564_1_273 = all_33_1_35
% 201.16/160.66 |
% 201.16/160.66 | From (329) and (328) follows:
% 201.16/160.66 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.66 |
% 201.16/160.66 +-Applying beta-rule and splitting (278), into two cases.
% 201.16/160.66 |-Branch one:
% 201.16/160.66 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 201.16/160.66 |
% 201.16/160.66 +-Applying beta-rule and splitting (338), into two cases.
% 201.16/160.66 |-Branch one:
% 201.16/160.66 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.66 |
% 201.16/160.66 | Applying alpha-rule on (339) yields:
% 201.16/160.66 | (340) all_569_0_283 = 0
% 201.16/160.66 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 201.16/160.66 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.66 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.66 |
% 201.16/160.66 | From (343) and (342) follows:
% 201.16/160.66 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.66 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.66 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.66 |
% 201.16/160.66 | Instantiating (345) with all_1033_0_37927, all_1033_1_37928 yields:
% 201.16/160.66 | (5686) (all_1033_1_37928 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_37927 = 0) & greater_or_equal(all_1033_1_37928, all_33_1_35) = all_1033_0_37927 & end_time(all_33_4_38) = all_1033_1_37928) | ( ~ (all_1033_1_37928 = 0) & environment(all_33_4_38) = all_1033_1_37928)
% 201.16/160.66 |
% 201.16/160.66 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.66 |-Branch one:
% 201.16/160.66 | (3117) all_777_0_5721 = 0
% 201.16/160.66 |
% 201.16/160.66 | Equations (3117) can reduce 3122 to:
% 201.16/160.66 | (62) $false
% 201.16/160.66 |
% 201.16/160.66 |-The branch is then unsatisfiable
% 201.16/160.66 |-Branch two:
% 201.16/160.66 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.66 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.66 |
% 201.16/160.66 +-Applying beta-rule and splitting (5686), into two cases.
% 201.16/160.66 |-Branch one:
% 201.16/160.66 | (5691) (all_1033_1_37928 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_37927 = 0) & greater_or_equal(all_1033_1_37928, all_33_1_35) = all_1033_0_37927 & end_time(all_33_4_38) = all_1033_1_37928)
% 201.16/160.66 |
% 201.16/160.66 +-Applying beta-rule and splitting (5691), into two cases.
% 201.16/160.66 |-Branch one:
% 201.16/160.66 | (5692) all_1033_1_37928 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.66 |
% 201.16/160.66 | Applying alpha-rule on (5692) yields:
% 201.16/160.66 | (5693) all_1033_1_37928 = 0
% 201.16/160.66 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.66 | (3117) all_777_0_5721 = 0
% 201.16/160.66 |
% 201.16/160.66 | Equations (3117) can reduce 3122 to:
% 201.16/160.66 | (62) $false
% 201.16/160.66 |
% 201.16/160.66 |-The branch is then unsatisfiable
% 201.16/160.66 |-Branch two:
% 201.16/160.66 | (5697) ~ (all_1033_0_37927 = 0) & greater_or_equal(all_1033_1_37928, all_33_1_35) = all_1033_0_37927 & end_time(all_33_4_38) = all_1033_1_37928
% 201.16/160.66 |
% 201.16/160.66 | Applying alpha-rule on (5697) yields:
% 201.16/160.66 | (5698) ~ (all_1033_0_37927 = 0)
% 201.16/160.66 | (5699) greater_or_equal(all_1033_1_37928, all_33_1_35) = all_1033_0_37927
% 201.16/160.66 | (5700) end_time(all_33_4_38) = all_1033_1_37928
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (43) with all_33_4_38, all_1033_1_37928, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_37928, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.66 | (5701) all_1033_1_37928 = all_33_1_35
% 201.16/160.66 |
% 201.16/160.66 | From (5701) and (5699) follows:
% 201.16/160.66 | (5702) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_37927
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (34) with all_1033_0_37927, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_37927, yields:
% 201.16/160.66 | (5703) all_1033_0_37927 = 0
% 201.16/160.66 |
% 201.16/160.66 | Equations (5703) can reduce 5698 to:
% 201.16/160.66 | (62) $false
% 201.16/160.66 |
% 201.16/160.66 |-The branch is then unsatisfiable
% 201.16/160.66 |-Branch two:
% 201.16/160.66 | (5705) ~ (all_1033_1_37928 = 0) & environment(all_33_4_38) = all_1033_1_37928
% 201.16/160.66 |
% 201.16/160.66 | Applying alpha-rule on (5705) yields:
% 201.16/160.66 | (5706) ~ (all_1033_1_37928 = 0)
% 201.16/160.66 | (5707) environment(all_33_4_38) = all_1033_1_37928
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (35) with all_33_4_38, all_1033_1_37928, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_37928, environment(all_33_4_38) = 0, yields:
% 201.16/160.66 | (5693) all_1033_1_37928 = 0
% 201.16/160.66 |
% 201.16/160.66 | Equations (5693) can reduce 5706 to:
% 201.16/160.66 | (62) $false
% 201.16/160.66 |
% 201.16/160.66 |-The branch is then unsatisfiable
% 201.16/160.66 |-Branch two:
% 201.16/160.66 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.66 |
% 201.16/160.66 | Applying alpha-rule on (371) yields:
% 201.16/160.66 | (340) all_569_0_283 = 0
% 201.16/160.66 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 201.16/160.66 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.66 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.66 |
% 201.16/160.66 | From (343) and (342) follows:
% 201.16/160.66 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.66 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.66 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.66 |
% 201.16/160.66 | Instantiating (345) with all_1033_0_38471, all_1033_1_38472 yields:
% 201.16/160.66 | (5718) (all_1033_1_38472 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_38471 = 0) & greater_or_equal(all_1033_1_38472, all_33_1_35) = all_1033_0_38471 & end_time(all_33_4_38) = all_1033_1_38472) | ( ~ (all_1033_1_38472 = 0) & environment(all_33_4_38) = all_1033_1_38472)
% 201.16/160.66 |
% 201.16/160.66 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.66 |-Branch one:
% 201.16/160.66 | (3117) all_777_0_5721 = 0
% 201.16/160.66 |
% 201.16/160.66 | Equations (3117) can reduce 3122 to:
% 201.16/160.66 | (62) $false
% 201.16/160.66 |
% 201.16/160.66 |-The branch is then unsatisfiable
% 201.16/160.66 |-Branch two:
% 201.16/160.66 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.66 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.66 |
% 201.16/160.66 +-Applying beta-rule and splitting (5718), into two cases.
% 201.16/160.66 |-Branch one:
% 201.16/160.66 | (5723) (all_1033_1_38472 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_38471 = 0) & greater_or_equal(all_1033_1_38472, all_33_1_35) = all_1033_0_38471 & end_time(all_33_4_38) = all_1033_1_38472)
% 201.16/160.66 |
% 201.16/160.66 +-Applying beta-rule and splitting (5723), into two cases.
% 201.16/160.66 |-Branch one:
% 201.16/160.66 | (5724) all_1033_1_38472 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.66 |
% 201.16/160.66 | Applying alpha-rule on (5724) yields:
% 201.16/160.66 | (5725) all_1033_1_38472 = 0
% 201.16/160.66 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.66 |
% 201.16/160.66 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.66 | (3117) all_777_0_5721 = 0
% 201.16/160.66 |
% 201.16/160.66 | Equations (3117) can reduce 3122 to:
% 201.16/160.66 | (62) $false
% 201.16/160.66 |
% 201.16/160.66 |-The branch is then unsatisfiable
% 201.16/160.66 |-Branch two:
% 201.16/160.66 | (5729) ~ (all_1033_0_38471 = 0) & greater_or_equal(all_1033_1_38472, all_33_1_35) = all_1033_0_38471 & end_time(all_33_4_38) = all_1033_1_38472
% 201.16/160.66 |
% 201.16/160.66 | Applying alpha-rule on (5729) yields:
% 201.16/160.66 | (5730) ~ (all_1033_0_38471 = 0)
% 201.16/160.66 | (5731) greater_or_equal(all_1033_1_38472, all_33_1_35) = all_1033_0_38471
% 201.16/160.67 | (5732) end_time(all_33_4_38) = all_1033_1_38472
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (43) with all_33_4_38, all_1033_1_38472, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_38472, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.67 | (5733) all_1033_1_38472 = all_33_1_35
% 201.16/160.67 |
% 201.16/160.67 | From (5733) and (5731) follows:
% 201.16/160.67 | (5734) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_38471
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (34) with all_1033_0_38471, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_38471, yields:
% 201.16/160.67 | (5735) all_1033_0_38471 = 0
% 201.16/160.67 |
% 201.16/160.67 | Equations (5735) can reduce 5730 to:
% 201.16/160.67 | (62) $false
% 201.16/160.67 |
% 201.16/160.67 |-The branch is then unsatisfiable
% 201.16/160.67 |-Branch two:
% 201.16/160.67 | (5737) ~ (all_1033_1_38472 = 0) & environment(all_33_4_38) = all_1033_1_38472
% 201.16/160.67 |
% 201.16/160.67 | Applying alpha-rule on (5737) yields:
% 201.16/160.67 | (5738) ~ (all_1033_1_38472 = 0)
% 201.16/160.67 | (5739) environment(all_33_4_38) = all_1033_1_38472
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (35) with all_33_4_38, all_1033_1_38472, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_38472, environment(all_33_4_38) = 0, yields:
% 201.16/160.67 | (5725) all_1033_1_38472 = 0
% 201.16/160.67 |
% 201.16/160.67 | Equations (5725) can reduce 5738 to:
% 201.16/160.67 | (62) $false
% 201.16/160.67 |
% 201.16/160.67 |-The branch is then unsatisfiable
% 201.16/160.67 |-Branch two:
% 201.16/160.67 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 201.16/160.67 |
% 201.16/160.67 | Applying alpha-rule on (403) yields:
% 201.16/160.67 | (404) ~ (all_569_1_284 = 0)
% 201.16/160.67 | (405) environment(all_33_4_38) = all_569_1_284
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 201.16/160.67 | (406) all_569_1_284 = 0
% 201.16/160.67 |
% 201.16/160.67 | Equations (406) can reduce 404 to:
% 201.16/160.67 | (62) $false
% 201.16/160.67 |
% 201.16/160.67 |-The branch is then unsatisfiable
% 201.16/160.67 |-Branch two:
% 201.16/160.67 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 201.16/160.67 |
% 201.16/160.67 | Applying alpha-rule on (653) yields:
% 201.16/160.67 | (654) ~ (all_564_1_273 = 0)
% 201.16/160.67 | (655) environment(all_33_4_38) = all_564_1_273
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 201.16/160.67 | (656) all_564_1_273 = 0
% 201.16/160.67 |
% 201.16/160.67 | Equations (656) can reduce 654 to:
% 201.16/160.67 | (62) $false
% 201.16/160.67 |
% 201.16/160.67 |-The branch is then unsatisfiable
% 201.16/160.67 |-Branch two:
% 201.16/160.67 | (408) all_568_0_281 = 0 & greater(all_51_2_49, all_568_1_282) = 0 & end_time(all_33_4_38) = all_568_1_282
% 201.16/160.67 |
% 201.16/160.67 | Applying alpha-rule on (408) yields:
% 201.16/160.67 | (333) all_568_0_281 = 0
% 201.16/160.67 | (410) greater(all_51_2_49, all_568_1_282) = 0
% 201.16/160.67 | (335) end_time(all_33_4_38) = all_568_1_282
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (43) with all_33_4_38, all_568_1_282, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_568_1_282, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.67 | (336) all_568_1_282 = all_33_1_35
% 201.16/160.67 |
% 201.16/160.67 | From (336) and (335) follows:
% 201.16/160.67 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.67 |
% 201.16/160.67 +-Applying beta-rule and splitting (276), into two cases.
% 201.16/160.67 |-Branch one:
% 201.16/160.67 | (324) (all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273) | (all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273)
% 201.16/160.67 |
% 201.16/160.67 +-Applying beta-rule and splitting (324), into two cases.
% 201.16/160.67 |-Branch one:
% 201.16/160.67 | (325) all_564_0_272 = 0 & greater_or_equal(all_564_1_273, all_61_2_79) = 0 & end_time(all_33_4_38) = all_564_1_273
% 201.16/160.67 |
% 201.16/160.67 | Applying alpha-rule on (325) yields:
% 201.16/160.67 | (326) all_564_0_272 = 0
% 201.16/160.67 | (327) greater_or_equal(all_564_1_273, all_61_2_79) = 0
% 201.16/160.67 | (328) end_time(all_33_4_38) = all_564_1_273
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.67 | (329) all_564_1_273 = all_33_1_35
% 201.16/160.67 |
% 201.16/160.67 | From (329) and (328) follows:
% 201.16/160.67 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.67 |
% 201.16/160.67 +-Applying beta-rule and splitting (278), into two cases.
% 201.16/160.67 |-Branch one:
% 201.16/160.67 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 201.16/160.67 |
% 201.16/160.67 +-Applying beta-rule and splitting (338), into two cases.
% 201.16/160.67 |-Branch one:
% 201.16/160.67 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.67 |
% 201.16/160.67 | Applying alpha-rule on (339) yields:
% 201.16/160.67 | (340) all_569_0_283 = 0
% 201.16/160.67 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 201.16/160.67 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.67 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.67 |
% 201.16/160.67 | From (343) and (342) follows:
% 201.16/160.67 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.67 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.67 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.67 |
% 201.16/160.67 | Instantiating (345) with all_1033_0_39015, all_1033_1_39016 yields:
% 201.16/160.67 | (5774) (all_1033_1_39016 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_39015 = 0) & greater_or_equal(all_1033_1_39016, all_33_1_35) = all_1033_0_39015 & end_time(all_33_4_38) = all_1033_1_39016) | ( ~ (all_1033_1_39016 = 0) & environment(all_33_4_38) = all_1033_1_39016)
% 201.16/160.67 |
% 201.16/160.67 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.67 |-Branch one:
% 201.16/160.67 | (3117) all_777_0_5721 = 0
% 201.16/160.67 |
% 201.16/160.67 | Equations (3117) can reduce 3122 to:
% 201.16/160.67 | (62) $false
% 201.16/160.67 |
% 201.16/160.67 |-The branch is then unsatisfiable
% 201.16/160.67 |-Branch two:
% 201.16/160.67 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.67 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.67 |
% 201.16/160.67 +-Applying beta-rule and splitting (5774), into two cases.
% 201.16/160.67 |-Branch one:
% 201.16/160.67 | (5779) (all_1033_1_39016 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_39015 = 0) & greater_or_equal(all_1033_1_39016, all_33_1_35) = all_1033_0_39015 & end_time(all_33_4_38) = all_1033_1_39016)
% 201.16/160.67 |
% 201.16/160.67 +-Applying beta-rule and splitting (5779), into two cases.
% 201.16/160.67 |-Branch one:
% 201.16/160.67 | (5780) all_1033_1_39016 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.67 |
% 201.16/160.67 | Applying alpha-rule on (5780) yields:
% 201.16/160.67 | (5781) all_1033_1_39016 = 0
% 201.16/160.67 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.67 | (3117) all_777_0_5721 = 0
% 201.16/160.67 |
% 201.16/160.67 | Equations (3117) can reduce 3122 to:
% 201.16/160.67 | (62) $false
% 201.16/160.67 |
% 201.16/160.67 |-The branch is then unsatisfiable
% 201.16/160.67 |-Branch two:
% 201.16/160.67 | (5785) ~ (all_1033_0_39015 = 0) & greater_or_equal(all_1033_1_39016, all_33_1_35) = all_1033_0_39015 & end_time(all_33_4_38) = all_1033_1_39016
% 201.16/160.67 |
% 201.16/160.67 | Applying alpha-rule on (5785) yields:
% 201.16/160.67 | (5786) ~ (all_1033_0_39015 = 0)
% 201.16/160.67 | (5787) greater_or_equal(all_1033_1_39016, all_33_1_35) = all_1033_0_39015
% 201.16/160.67 | (5788) end_time(all_33_4_38) = all_1033_1_39016
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (43) with all_33_4_38, all_1033_1_39016, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_39016, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.67 | (5789) all_1033_1_39016 = all_33_1_35
% 201.16/160.67 |
% 201.16/160.67 | From (5789) and (5787) follows:
% 201.16/160.67 | (5790) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_39015
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (34) with all_1033_0_39015, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_39015, yields:
% 201.16/160.67 | (5791) all_1033_0_39015 = 0
% 201.16/160.67 |
% 201.16/160.67 | Equations (5791) can reduce 5786 to:
% 201.16/160.67 | (62) $false
% 201.16/160.67 |
% 201.16/160.67 |-The branch is then unsatisfiable
% 201.16/160.67 |-Branch two:
% 201.16/160.67 | (5793) ~ (all_1033_1_39016 = 0) & environment(all_33_4_38) = all_1033_1_39016
% 201.16/160.67 |
% 201.16/160.67 | Applying alpha-rule on (5793) yields:
% 201.16/160.67 | (5794) ~ (all_1033_1_39016 = 0)
% 201.16/160.67 | (5795) environment(all_33_4_38) = all_1033_1_39016
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (35) with all_33_4_38, all_1033_1_39016, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_39016, environment(all_33_4_38) = 0, yields:
% 201.16/160.67 | (5781) all_1033_1_39016 = 0
% 201.16/160.67 |
% 201.16/160.67 | Equations (5781) can reduce 5794 to:
% 201.16/160.67 | (62) $false
% 201.16/160.67 |
% 201.16/160.67 |-The branch is then unsatisfiable
% 201.16/160.67 |-Branch two:
% 201.16/160.67 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.67 |
% 201.16/160.67 | Applying alpha-rule on (371) yields:
% 201.16/160.67 | (340) all_569_0_283 = 0
% 201.16/160.67 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 201.16/160.67 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.67 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.67 |
% 201.16/160.67 | From (343) and (342) follows:
% 201.16/160.67 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.67 |
% 201.16/160.67 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.68 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.68 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.68 |
% 201.16/160.68 | Instantiating (345) with all_1033_0_39559, all_1033_1_39560 yields:
% 201.16/160.68 | (5806) (all_1033_1_39560 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_39559 = 0) & greater_or_equal(all_1033_1_39560, all_33_1_35) = all_1033_0_39559 & end_time(all_33_4_38) = all_1033_1_39560) | ( ~ (all_1033_1_39560 = 0) & environment(all_33_4_38) = all_1033_1_39560)
% 201.16/160.68 |
% 201.16/160.68 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.68 |-Branch one:
% 201.16/160.68 | (3117) all_777_0_5721 = 0
% 201.16/160.68 |
% 201.16/160.68 | Equations (3117) can reduce 3122 to:
% 201.16/160.68 | (62) $false
% 201.16/160.68 |
% 201.16/160.68 |-The branch is then unsatisfiable
% 201.16/160.68 |-Branch two:
% 201.16/160.68 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.68 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.68 |
% 201.16/160.68 +-Applying beta-rule and splitting (5806), into two cases.
% 201.16/160.68 |-Branch one:
% 201.16/160.68 | (5811) (all_1033_1_39560 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_39559 = 0) & greater_or_equal(all_1033_1_39560, all_33_1_35) = all_1033_0_39559 & end_time(all_33_4_38) = all_1033_1_39560)
% 201.16/160.68 |
% 201.16/160.68 +-Applying beta-rule and splitting (5811), into two cases.
% 201.16/160.68 |-Branch one:
% 201.16/160.68 | (5812) all_1033_1_39560 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.68 |
% 201.16/160.68 | Applying alpha-rule on (5812) yields:
% 201.16/160.68 | (5813) all_1033_1_39560 = 0
% 201.16/160.68 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.68 | (3117) all_777_0_5721 = 0
% 201.16/160.68 |
% 201.16/160.68 | Equations (3117) can reduce 3122 to:
% 201.16/160.68 | (62) $false
% 201.16/160.68 |
% 201.16/160.68 |-The branch is then unsatisfiable
% 201.16/160.68 |-Branch two:
% 201.16/160.68 | (5817) ~ (all_1033_0_39559 = 0) & greater_or_equal(all_1033_1_39560, all_33_1_35) = all_1033_0_39559 & end_time(all_33_4_38) = all_1033_1_39560
% 201.16/160.68 |
% 201.16/160.68 | Applying alpha-rule on (5817) yields:
% 201.16/160.68 | (5818) ~ (all_1033_0_39559 = 0)
% 201.16/160.68 | (5819) greater_or_equal(all_1033_1_39560, all_33_1_35) = all_1033_0_39559
% 201.16/160.68 | (5820) end_time(all_33_4_38) = all_1033_1_39560
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (43) with all_33_4_38, all_1033_1_39560, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_39560, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.68 | (5821) all_1033_1_39560 = all_33_1_35
% 201.16/160.68 |
% 201.16/160.68 | From (5821) and (5819) follows:
% 201.16/160.68 | (5822) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_39559
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (34) with all_1033_0_39559, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_39559, yields:
% 201.16/160.68 | (5823) all_1033_0_39559 = 0
% 201.16/160.68 |
% 201.16/160.68 | Equations (5823) can reduce 5818 to:
% 201.16/160.68 | (62) $false
% 201.16/160.68 |
% 201.16/160.68 |-The branch is then unsatisfiable
% 201.16/160.68 |-Branch two:
% 201.16/160.68 | (5825) ~ (all_1033_1_39560 = 0) & environment(all_33_4_38) = all_1033_1_39560
% 201.16/160.68 |
% 201.16/160.68 | Applying alpha-rule on (5825) yields:
% 201.16/160.68 | (5826) ~ (all_1033_1_39560 = 0)
% 201.16/160.68 | (5827) environment(all_33_4_38) = all_1033_1_39560
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (35) with all_33_4_38, all_1033_1_39560, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_39560, environment(all_33_4_38) = 0, yields:
% 201.16/160.68 | (5813) all_1033_1_39560 = 0
% 201.16/160.68 |
% 201.16/160.68 | Equations (5813) can reduce 5826 to:
% 201.16/160.68 | (62) $false
% 201.16/160.68 |
% 201.16/160.68 |-The branch is then unsatisfiable
% 201.16/160.68 |-Branch two:
% 201.16/160.68 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 201.16/160.68 |
% 201.16/160.68 | Applying alpha-rule on (403) yields:
% 201.16/160.68 | (404) ~ (all_569_1_284 = 0)
% 201.16/160.68 | (405) environment(all_33_4_38) = all_569_1_284
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 201.16/160.68 | (406) all_569_1_284 = 0
% 201.16/160.68 |
% 201.16/160.68 | Equations (406) can reduce 404 to:
% 201.16/160.68 | (62) $false
% 201.16/160.68 |
% 201.16/160.68 |-The branch is then unsatisfiable
% 201.16/160.68 |-Branch two:
% 201.16/160.68 | (489) all_564_0_272 = 0 & greater(all_61_2_79, all_564_1_273) = 0 & end_time(all_33_4_38) = all_564_1_273
% 201.16/160.68 |
% 201.16/160.68 | Applying alpha-rule on (489) yields:
% 201.16/160.68 | (326) all_564_0_272 = 0
% 201.16/160.68 | (491) greater(all_61_2_79, all_564_1_273) = 0
% 201.16/160.68 | (328) end_time(all_33_4_38) = all_564_1_273
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (43) with all_33_4_38, all_564_1_273, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_564_1_273, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.68 | (329) all_564_1_273 = all_33_1_35
% 201.16/160.68 |
% 201.16/160.68 | From (329) and (328) follows:
% 201.16/160.68 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.68 |
% 201.16/160.68 +-Applying beta-rule and splitting (278), into two cases.
% 201.16/160.68 |-Branch one:
% 201.16/160.68 | (338) (all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284) | (all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284)
% 201.16/160.68 |
% 201.16/160.68 +-Applying beta-rule and splitting (338), into two cases.
% 201.16/160.68 |-Branch one:
% 201.16/160.68 | (339) all_569_0_283 = 0 & greater_or_equal(all_569_1_284, all_48_2_43) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.68 |
% 201.16/160.68 | Applying alpha-rule on (339) yields:
% 201.16/160.68 | (340) all_569_0_283 = 0
% 201.16/160.68 | (341) greater_or_equal(all_569_1_284, all_48_2_43) = 0
% 201.16/160.68 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.68 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.68 |
% 201.16/160.68 | From (343) and (342) follows:
% 201.16/160.68 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.68 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.68 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.68 |
% 201.16/160.68 | Instantiating (345) with all_1033_0_40103, all_1033_1_40104 yields:
% 201.16/160.68 | (5850) (all_1033_1_40104 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_40103 = 0) & greater_or_equal(all_1033_1_40104, all_33_1_35) = all_1033_0_40103 & end_time(all_33_4_38) = all_1033_1_40104) | ( ~ (all_1033_1_40104 = 0) & environment(all_33_4_38) = all_1033_1_40104)
% 201.16/160.68 |
% 201.16/160.68 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.68 |-Branch one:
% 201.16/160.68 | (3117) all_777_0_5721 = 0
% 201.16/160.68 |
% 201.16/160.68 | Equations (3117) can reduce 3122 to:
% 201.16/160.68 | (62) $false
% 201.16/160.68 |
% 201.16/160.68 |-The branch is then unsatisfiable
% 201.16/160.68 |-Branch two:
% 201.16/160.68 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.68 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.68 |
% 201.16/160.68 +-Applying beta-rule and splitting (5850), into two cases.
% 201.16/160.68 |-Branch one:
% 201.16/160.68 | (5855) (all_1033_1_40104 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_40103 = 0) & greater_or_equal(all_1033_1_40104, all_33_1_35) = all_1033_0_40103 & end_time(all_33_4_38) = all_1033_1_40104)
% 201.16/160.68 |
% 201.16/160.68 +-Applying beta-rule and splitting (5855), into two cases.
% 201.16/160.68 |-Branch one:
% 201.16/160.68 | (5856) all_1033_1_40104 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.68 |
% 201.16/160.68 | Applying alpha-rule on (5856) yields:
% 201.16/160.68 | (5857) all_1033_1_40104 = 0
% 201.16/160.68 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.68 | (3117) all_777_0_5721 = 0
% 201.16/160.68 |
% 201.16/160.68 | Equations (3117) can reduce 3122 to:
% 201.16/160.68 | (62) $false
% 201.16/160.68 |
% 201.16/160.68 |-The branch is then unsatisfiable
% 201.16/160.68 |-Branch two:
% 201.16/160.68 | (5861) ~ (all_1033_0_40103 = 0) & greater_or_equal(all_1033_1_40104, all_33_1_35) = all_1033_0_40103 & end_time(all_33_4_38) = all_1033_1_40104
% 201.16/160.68 |
% 201.16/160.68 | Applying alpha-rule on (5861) yields:
% 201.16/160.68 | (5862) ~ (all_1033_0_40103 = 0)
% 201.16/160.68 | (5863) greater_or_equal(all_1033_1_40104, all_33_1_35) = all_1033_0_40103
% 201.16/160.68 | (5864) end_time(all_33_4_38) = all_1033_1_40104
% 201.16/160.68 |
% 201.16/160.68 | Instantiating formula (43) with all_33_4_38, all_1033_1_40104, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_40104, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.68 | (5865) all_1033_1_40104 = all_33_1_35
% 201.16/160.68 |
% 201.16/160.68 | From (5865) and (5863) follows:
% 201.16/160.69 | (5866) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_40103
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (34) with all_1033_0_40103, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_40103, yields:
% 201.16/160.69 | (5867) all_1033_0_40103 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (5867) can reduce 5862 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (5869) ~ (all_1033_1_40104 = 0) & environment(all_33_4_38) = all_1033_1_40104
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (5869) yields:
% 201.16/160.69 | (5870) ~ (all_1033_1_40104 = 0)
% 201.16/160.69 | (5871) environment(all_33_4_38) = all_1033_1_40104
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (35) with all_33_4_38, all_1033_1_40104, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_40104, environment(all_33_4_38) = 0, yields:
% 201.16/160.69 | (5857) all_1033_1_40104 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (5857) can reduce 5870 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (371) all_569_0_283 = 0 & greater(all_48_2_43, all_569_1_284) = 0 & end_time(all_33_4_38) = all_569_1_284
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (371) yields:
% 201.16/160.69 | (340) all_569_0_283 = 0
% 201.16/160.69 | (373) greater(all_48_2_43, all_569_1_284) = 0
% 201.16/160.69 | (342) end_time(all_33_4_38) = all_569_1_284
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (43) with all_33_4_38, all_569_1_284, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_569_1_284, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.69 | (343) all_569_1_284 = all_33_1_35
% 201.16/160.69 |
% 201.16/160.69 | From (343) and (342) follows:
% 201.16/160.69 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (10) with all_57_0_67, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_57_0_67, greater_or_equal(all_33_1_35, all_57_0_67) = 0, yields:
% 201.16/160.69 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (56) with all_777_0_5721, all_33_1_35, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, yields:
% 201.16/160.69 | (3167) all_777_0_5721 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.69 |
% 201.16/160.69 | Instantiating (345) with all_1033_0_40647, all_1033_1_40648 yields:
% 201.16/160.69 | (5882) (all_1033_1_40648 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_40647 = 0) & greater_or_equal(all_1033_1_40648, all_33_1_35) = all_1033_0_40647 & end_time(all_33_4_38) = all_1033_1_40648) | ( ~ (all_1033_1_40648 = 0) & environment(all_33_4_38) = all_1033_1_40648)
% 201.16/160.69 |
% 201.16/160.69 +-Applying beta-rule and splitting (3167), into two cases.
% 201.16/160.69 |-Branch one:
% 201.16/160.69 | (3117) all_777_0_5721 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (3117) can reduce 3122 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (3122) ~ (all_777_0_5721 = 0)
% 201.16/160.69 | (351) ? [v0] : ? [v1] : (( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater_or_equal(all_33_1_35, v0) = v1) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.69 |
% 201.16/160.69 +-Applying beta-rule and splitting (5882), into two cases.
% 201.16/160.69 |-Branch one:
% 201.16/160.69 | (5887) (all_1033_1_40648 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_1033_0_40647 = 0) & greater_or_equal(all_1033_1_40648, all_33_1_35) = all_1033_0_40647 & end_time(all_33_4_38) = all_1033_1_40648)
% 201.16/160.69 |
% 201.16/160.69 +-Applying beta-rule and splitting (5887), into two cases.
% 201.16/160.69 |-Branch one:
% 201.16/160.69 | (5888) all_1033_1_40648 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (5888) yields:
% 201.16/160.69 | (5889) all_1033_1_40648 = 0
% 201.16/160.69 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_777_0_5721 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_777_0_5721, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.16/160.69 | (3117) all_777_0_5721 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (3117) can reduce 3122 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (5893) ~ (all_1033_0_40647 = 0) & greater_or_equal(all_1033_1_40648, all_33_1_35) = all_1033_0_40647 & end_time(all_33_4_38) = all_1033_1_40648
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (5893) yields:
% 201.16/160.69 | (5894) ~ (all_1033_0_40647 = 0)
% 201.16/160.69 | (5895) greater_or_equal(all_1033_1_40648, all_33_1_35) = all_1033_0_40647
% 201.16/160.69 | (5896) end_time(all_33_4_38) = all_1033_1_40648
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (43) with all_33_4_38, all_1033_1_40648, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_1033_1_40648, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.69 | (5897) all_1033_1_40648 = all_33_1_35
% 201.16/160.69 |
% 201.16/160.69 | From (5897) and (5895) follows:
% 201.16/160.69 | (5898) greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_40647
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (34) with all_1033_0_40647, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_1033_0_40647, yields:
% 201.16/160.69 | (5899) all_1033_0_40647 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (5899) can reduce 5894 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (5901) ~ (all_1033_1_40648 = 0) & environment(all_33_4_38) = all_1033_1_40648
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (5901) yields:
% 201.16/160.69 | (5902) ~ (all_1033_1_40648 = 0)
% 201.16/160.69 | (5903) environment(all_33_4_38) = all_1033_1_40648
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (35) with all_33_4_38, all_1033_1_40648, 0 and discharging atoms environment(all_33_4_38) = all_1033_1_40648, environment(all_33_4_38) = 0, yields:
% 201.16/160.69 | (5889) all_1033_1_40648 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (5889) can reduce 5902 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (403) ~ (all_569_1_284 = 0) & environment(all_33_4_38) = all_569_1_284
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (403) yields:
% 201.16/160.69 | (404) ~ (all_569_1_284 = 0)
% 201.16/160.69 | (405) environment(all_33_4_38) = all_569_1_284
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (35) with all_33_4_38, all_569_1_284, 0 and discharging atoms environment(all_33_4_38) = all_569_1_284, environment(all_33_4_38) = 0, yields:
% 201.16/160.69 | (406) all_569_1_284 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (406) can reduce 404 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (653) ~ (all_564_1_273 = 0) & environment(all_33_4_38) = all_564_1_273
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (653) yields:
% 201.16/160.69 | (654) ~ (all_564_1_273 = 0)
% 201.16/160.69 | (655) environment(all_33_4_38) = all_564_1_273
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (35) with all_33_4_38, all_564_1_273, 0 and discharging atoms environment(all_33_4_38) = all_564_1_273, environment(all_33_4_38) = 0, yields:
% 201.16/160.69 | (656) all_564_1_273 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (656) can reduce 654 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (484) ~ (all_568_1_282 = 0) & environment(all_33_4_38) = all_568_1_282
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (484) yields:
% 201.16/160.69 | (485) ~ (all_568_1_282 = 0)
% 201.16/160.69 | (486) environment(all_33_4_38) = all_568_1_282
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (35) with all_33_4_38, all_568_1_282, 0 and discharging atoms environment(all_33_4_38) = all_568_1_282, environment(all_33_4_38) = 0, yields:
% 201.16/160.69 | (487) all_568_1_282 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (487) can reduce 485 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (3096) ~ (all_554_1_250 = 0) & environment(all_33_4_38) = all_554_1_250
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (3096) yields:
% 201.16/160.69 | (3097) ~ (all_554_1_250 = 0)
% 201.16/160.69 | (3098) environment(all_33_4_38) = all_554_1_250
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (35) with all_33_4_38, all_554_1_250, 0 and discharging atoms environment(all_33_4_38) = all_554_1_250, environment(all_33_4_38) = 0, yields:
% 201.16/160.69 | (3099) all_554_1_250 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (3099) can reduce 3097 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (998) ~ (all_559_1_262 = 0) & environment(all_33_4_38) = all_559_1_262
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (998) yields:
% 201.16/160.69 | (999) ~ (all_559_1_262 = 0)
% 201.16/160.69 | (1000) environment(all_33_4_38) = all_559_1_262
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (35) with all_33_4_38, all_559_1_262, 0 and discharging atoms environment(all_33_4_38) = all_559_1_262, environment(all_33_4_38) = 0, yields:
% 201.16/160.69 | (1001) all_559_1_262 = 0
% 201.16/160.69 |
% 201.16/160.69 | Equations (1001) can reduce 999 to:
% 201.16/160.69 | (62) $false
% 201.16/160.69 |
% 201.16/160.69 |-The branch is then unsatisfiable
% 201.16/160.69 |-Branch two:
% 201.16/160.69 | (1695) ~ (all_557_1_258 = 0) & environment(all_33_4_38) = all_557_1_258
% 201.16/160.69 |
% 201.16/160.69 | Applying alpha-rule on (1695) yields:
% 201.16/160.69 | (1696) ~ (all_557_1_258 = 0)
% 201.16/160.69 | (1697) environment(all_33_4_38) = all_557_1_258
% 201.16/160.69 |
% 201.16/160.69 | Instantiating formula (35) with all_33_4_38, all_557_1_258, 0 and discharging atoms environment(all_33_4_38) = all_557_1_258, environment(all_33_4_38) = 0, yields:
% 201.16/160.69 | (1698) all_557_1_258 = 0
% 201.16/160.70 |
% 201.16/160.70 | Equations (1698) can reduce 1696 to:
% 201.16/160.70 | (62) $false
% 201.16/160.70 |
% 201.16/160.70 |-The branch is then unsatisfiable
% 201.16/160.70 |-Branch two:
% 201.16/160.70 | (5936) ~ (all_424_1_220 = 0) & environment(all_33_4_38) = all_424_1_220
% 201.16/160.70 |
% 201.16/160.70 | Applying alpha-rule on (5936) yields:
% 201.16/160.70 | (5937) ~ (all_424_1_220 = 0)
% 201.16/160.70 | (5938) environment(all_33_4_38) = all_424_1_220
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (35) with all_33_4_38, all_424_1_220, 0 and discharging atoms environment(all_33_4_38) = all_424_1_220, environment(all_33_4_38) = 0, yields:
% 201.16/160.70 | (5939) all_424_1_220 = 0
% 201.16/160.70 |
% 201.16/160.70 | Equations (5939) can reduce 5937 to:
% 201.16/160.70 | (62) $false
% 201.16/160.70 |
% 201.16/160.70 |-The branch is then unsatisfiable
% 201.16/160.70 |-Branch two:
% 201.16/160.70 | (5941) ~ (greater(all_33_1_35, all_48_2_43) = 0)
% 201.16/160.70 | (5942) all_48_2_43 = all_33_1_35
% 201.16/160.70 |
% 201.16/160.70 | From (5942) and (166) follows:
% 201.16/160.70 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.16/160.70 | (109) all_33_0_34 = 0
% 201.16/160.70 |
% 201.16/160.70 | Equations (109) can reduce 72 to:
% 201.16/160.70 | (62) $false
% 201.16/160.70 |
% 201.16/160.70 |-The branch is then unsatisfiable
% 201.16/160.70 |-Branch two:
% 201.16/160.70 | (5946) ~ (all_429_1_232 = 0) & environment(all_33_4_38) = all_429_1_232
% 201.16/160.70 |
% 201.16/160.70 | Applying alpha-rule on (5946) yields:
% 201.16/160.70 | (5947) ~ (all_429_1_232 = 0)
% 201.16/160.70 | (5948) environment(all_33_4_38) = all_429_1_232
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (35) with all_33_4_38, all_429_1_232, 0 and discharging atoms environment(all_33_4_38) = all_429_1_232, environment(all_33_4_38) = 0, yields:
% 201.16/160.70 | (5949) all_429_1_232 = 0
% 201.16/160.70 |
% 201.16/160.70 | Equations (5949) can reduce 5947 to:
% 201.16/160.70 | (62) $false
% 201.16/160.70 |
% 201.16/160.70 |-The branch is then unsatisfiable
% 201.16/160.70 |-Branch two:
% 201.16/160.70 | (5951) ~ (all_129_0_127 = 0) & greater_or_equal(all_129_1_128, all_48_3_44) = all_129_0_127 & end_time(all_33_4_38) = all_129_1_128
% 201.16/160.70 |
% 201.16/160.70 | Applying alpha-rule on (5951) yields:
% 201.16/160.70 | (5952) ~ (all_129_0_127 = 0)
% 201.16/160.70 | (5953) greater_or_equal(all_129_1_128, all_48_3_44) = all_129_0_127
% 201.16/160.70 | (5954) end_time(all_33_4_38) = all_129_1_128
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (43) with all_33_4_38, all_129_1_128, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_129_1_128, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.70 | (5955) all_129_1_128 = all_33_1_35
% 201.16/160.70 |
% 201.16/160.70 | From (5955) and (5953) follows:
% 201.16/160.70 | (5956) greater_or_equal(all_33_1_35, all_48_3_44) = all_129_0_127
% 201.16/160.70 |
% 201.16/160.70 | From (5955) and (5954) follows:
% 201.16/160.70 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (5) with all_129_0_127, all_33_1_35, all_48_3_44, all_33_4_38 and discharging atoms greater_or_equal(all_33_1_35, all_48_3_44) = all_129_0_127, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.16/160.70 | (5958) all_129_0_127 = 0 | ? [v0] : ? [v1] : ((v0 = 0 & greater(all_48_3_44, all_33_1_35) = 0) | ( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater(all_48_3_44, v0) = v1) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (45) with all_129_0_127, all_48_3_44, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_48_3_44) = all_129_0_127, yields:
% 201.16/160.70 | (5959) all_129_0_127 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_48_3_44) = v0)
% 201.16/160.70 |
% 201.16/160.70 +-Applying beta-rule and splitting (5958), into two cases.
% 201.16/160.70 |-Branch one:
% 201.16/160.70 | (5960) all_129_0_127 = 0
% 201.16/160.70 |
% 201.16/160.70 | Equations (5960) can reduce 5952 to:
% 201.16/160.70 | (62) $false
% 201.16/160.70 |
% 201.16/160.70 |-The branch is then unsatisfiable
% 201.16/160.70 |-Branch two:
% 201.16/160.70 | (5952) ~ (all_129_0_127 = 0)
% 201.16/160.70 | (5963) ? [v0] : ? [v1] : ((v0 = 0 & greater(all_48_3_44, all_33_1_35) = 0) | ( ~ (v1 = 0) & start_time(all_33_4_38) = v0 & greater(all_48_3_44, v0) = v1) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.16/160.70 |
% 201.16/160.70 +-Applying beta-rule and splitting (5959), into two cases.
% 201.16/160.70 |-Branch one:
% 201.16/160.70 | (5960) all_129_0_127 = 0
% 201.16/160.70 |
% 201.16/160.70 | Equations (5960) can reduce 5952 to:
% 201.16/160.70 | (62) $false
% 201.16/160.70 |
% 201.16/160.70 |-The branch is then unsatisfiable
% 201.16/160.70 |-Branch two:
% 201.16/160.70 | (5952) ~ (all_129_0_127 = 0)
% 201.16/160.70 | (5967) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_48_3_44) = v0)
% 201.16/160.70 |
% 201.16/160.70 | Instantiating (5967) with all_441_0_40719 yields:
% 201.16/160.70 | (5968) ~ (all_441_0_40719 = 0) & greater(all_33_1_35, all_48_3_44) = all_441_0_40719
% 201.16/160.70 |
% 201.16/160.70 | Applying alpha-rule on (5968) yields:
% 201.16/160.70 | (5969) ~ (all_441_0_40719 = 0)
% 201.16/160.70 | (5970) greater(all_33_1_35, all_48_3_44) = all_441_0_40719
% 201.16/160.70 |
% 201.16/160.70 +-Applying beta-rule and splitting (225), into two cases.
% 201.16/160.70 |-Branch one:
% 201.16/160.70 | (264) greater(all_33_1_35, all_48_2_43) = 0
% 201.16/160.70 |
% 201.16/160.70 +-Applying beta-rule and splitting (224), into two cases.
% 201.16/160.70 |-Branch one:
% 201.16/160.70 | (5972) greater(all_33_1_35, all_51_2_49) = 0
% 201.16/160.70 |
% 201.16/160.70 +-Applying beta-rule and splitting (223), into two cases.
% 201.16/160.70 |-Branch one:
% 201.16/160.70 | (5973) greater(all_33_1_35, all_60_2_75) = 0
% 201.16/160.70 |
% 201.16/160.70 +-Applying beta-rule and splitting (222), into two cases.
% 201.16/160.70 |-Branch one:
% 201.16/160.70 | (5974) greater(all_33_1_35, all_61_2_79) = 0
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (18) with all_48_3_44, all_48_2_43, all_33_1_35 and discharging atoms greater(all_48_2_43, all_48_3_44) = 0, greater(all_33_1_35, all_48_2_43) = 0, yields:
% 201.16/160.70 | (271) greater(all_33_1_35, all_48_3_44) = 0
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (52) with all_441_0_40719, all_48_3_44, all_135_2_141, all_33_1_35 and discharging atoms greater(all_135_2_141, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_441_0_40719, yields:
% 201.16/160.70 | (5976) all_441_0_40719 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_135_2_141) = v0)
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (52) with all_441_0_40719, all_48_3_44, all_114_2_98, all_33_1_35 and discharging atoms greater(all_114_2_98, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_441_0_40719, yields:
% 201.16/160.70 | (5977) all_441_0_40719 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_114_2_98) = v0)
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (52) with all_441_0_40719, all_48_3_44, all_61_2_79, all_33_1_35 and discharging atoms greater(all_61_2_79, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_441_0_40719, yields:
% 201.16/160.70 | (5978) all_441_0_40719 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_61_2_79) = v0)
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (52) with all_441_0_40719, all_48_3_44, all_60_2_75, all_33_1_35 and discharging atoms greater(all_60_2_75, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_441_0_40719, yields:
% 201.16/160.70 | (5979) all_441_0_40719 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_60_2_75) = v0)
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (52) with all_441_0_40719, all_48_3_44, all_51_2_49, all_33_1_35 and discharging atoms greater(all_51_2_49, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_441_0_40719, yields:
% 201.16/160.70 | (5980) all_441_0_40719 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_51_2_49) = v0)
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (52) with all_441_0_40719, all_48_3_44, all_48_2_43, all_33_1_35 and discharging atoms greater(all_48_2_43, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_441_0_40719, yields:
% 201.16/160.70 | (5981) all_441_0_40719 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_48_2_43) = v0)
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (9) with all_441_0_40719, all_48_3_44, all_61_2_79, all_33_1_35 and discharging atoms greater(all_33_1_35, all_61_2_79) = 0, greater(all_33_1_35, all_48_3_44) = all_441_0_40719, yields:
% 201.16/160.70 | (5982) all_441_0_40719 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_61_2_79, all_48_3_44) = v0)
% 201.16/160.70 |
% 201.16/160.70 | Instantiating formula (9) with all_441_0_40719, all_48_3_44, all_60_2_75, all_33_1_35 and discharging atoms greater(all_33_1_35, all_60_2_75) = 0, greater(all_33_1_35, all_48_3_44) = all_441_0_40719, yields:
% 201.16/160.71 | (5983) all_441_0_40719 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_60_2_75, all_48_3_44) = v0)
% 201.16/160.71 |
% 201.16/160.71 | Instantiating formula (9) with all_441_0_40719, all_48_3_44, all_51_2_49, all_33_1_35 and discharging atoms greater(all_33_1_35, all_51_2_49) = 0, greater(all_33_1_35, all_48_3_44) = all_441_0_40719, yields:
% 201.16/160.71 | (5984) all_441_0_40719 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_51_2_49, all_48_3_44) = v0)
% 201.16/160.71 |
% 201.16/160.71 | Instantiating formula (9) with all_441_0_40719, all_48_3_44, all_48_2_43, all_33_1_35 and discharging atoms greater(all_33_1_35, all_48_2_43) = 0, greater(all_33_1_35, all_48_3_44) = all_441_0_40719, yields:
% 201.16/160.71 | (5985) all_441_0_40719 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_48_2_43, all_48_3_44) = v0)
% 201.16/160.71 |
% 201.16/160.71 +-Applying beta-rule and splitting (5985), into two cases.
% 201.16/160.71 |-Branch one:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.71 |-Branch two:
% 201.50/160.71 | (5969) ~ (all_441_0_40719 = 0)
% 201.50/160.71 | (5989) ? [v0] : ( ~ (v0 = 0) & greater(all_48_2_43, all_48_3_44) = v0)
% 201.50/160.71 |
% 201.50/160.71 +-Applying beta-rule and splitting (5976), into two cases.
% 201.50/160.71 |-Branch one:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.71 |-Branch two:
% 201.50/160.71 | (5969) ~ (all_441_0_40719 = 0)
% 201.50/160.71 | (5993) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_135_2_141) = v0)
% 201.50/160.71 |
% 201.50/160.71 +-Applying beta-rule and splitting (5977), into two cases.
% 201.50/160.71 |-Branch one:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.71 |-Branch two:
% 201.50/160.71 | (5969) ~ (all_441_0_40719 = 0)
% 201.50/160.71 | (5997) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_114_2_98) = v0)
% 201.50/160.71 |
% 201.50/160.71 +-Applying beta-rule and splitting (5984), into two cases.
% 201.50/160.71 |-Branch one:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.71 |-Branch two:
% 201.50/160.71 | (5969) ~ (all_441_0_40719 = 0)
% 201.50/160.71 | (6001) ? [v0] : ( ~ (v0 = 0) & greater(all_51_2_49, all_48_3_44) = v0)
% 201.50/160.71 |
% 201.50/160.71 +-Applying beta-rule and splitting (5983), into two cases.
% 201.50/160.71 |-Branch one:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.71 |-Branch two:
% 201.50/160.71 | (5969) ~ (all_441_0_40719 = 0)
% 201.50/160.71 | (6005) ? [v0] : ( ~ (v0 = 0) & greater(all_60_2_75, all_48_3_44) = v0)
% 201.50/160.71 |
% 201.50/160.71 +-Applying beta-rule and splitting (5982), into two cases.
% 201.50/160.71 |-Branch one:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.71 |-Branch two:
% 201.50/160.71 | (5969) ~ (all_441_0_40719 = 0)
% 201.50/160.71 | (6009) ? [v0] : ( ~ (v0 = 0) & greater(all_61_2_79, all_48_3_44) = v0)
% 201.50/160.71 |
% 201.50/160.71 +-Applying beta-rule and splitting (5981), into two cases.
% 201.50/160.71 |-Branch one:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.71 |-Branch two:
% 201.50/160.71 | (5969) ~ (all_441_0_40719 = 0)
% 201.50/160.71 | (6013) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_48_2_43) = v0)
% 201.50/160.71 |
% 201.50/160.71 +-Applying beta-rule and splitting (5979), into two cases.
% 201.50/160.71 |-Branch one:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.71 |-Branch two:
% 201.50/160.71 | (5969) ~ (all_441_0_40719 = 0)
% 201.50/160.71 | (6017) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_60_2_75) = v0)
% 201.50/160.71 |
% 201.50/160.71 +-Applying beta-rule and splitting (5978), into two cases.
% 201.50/160.71 |-Branch one:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.71 |-Branch two:
% 201.50/160.71 | (5969) ~ (all_441_0_40719 = 0)
% 201.50/160.71 | (6021) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_61_2_79) = v0)
% 201.50/160.71 |
% 201.50/160.71 +-Applying beta-rule and splitting (5980), into two cases.
% 201.50/160.71 |-Branch one:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.71 |-Branch two:
% 201.50/160.71 | (5969) ~ (all_441_0_40719 = 0)
% 201.50/160.71 | (6025) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_51_2_49) = v0)
% 201.50/160.71 |
% 201.50/160.71 | Instantiating formula (7) with all_33_1_35, all_48_3_44, 0, all_441_0_40719 and discharging atoms greater(all_33_1_35, all_48_3_44) = all_441_0_40719, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.50/160.71 | (5986) all_441_0_40719 = 0
% 201.50/160.71 |
% 201.50/160.71 | Equations (5986) can reduce 5969 to:
% 201.50/160.71 | (62) $false
% 201.50/160.71 |
% 201.50/160.71 |-The branch is then unsatisfiable
% 201.50/160.72 |-Branch two:
% 201.50/160.72 | (6028) ~ (greater(all_33_1_35, all_61_2_79) = 0)
% 201.50/160.72 | (6029) all_61_2_79 = all_33_1_35
% 201.50/160.72 |
% 201.50/160.72 | From (6029) and (200) follows:
% 201.50/160.72 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.50/160.72 | (109) all_33_0_34 = 0
% 201.50/160.72 |
% 201.50/160.72 | Equations (109) can reduce 72 to:
% 201.50/160.72 | (62) $false
% 201.50/160.72 |
% 201.50/160.72 |-The branch is then unsatisfiable
% 201.50/160.72 |-Branch two:
% 201.50/160.72 | (6033) ~ (greater(all_33_1_35, all_60_2_75) = 0)
% 201.50/160.72 | (6034) all_60_2_75 = all_33_1_35
% 201.50/160.72 |
% 201.50/160.72 | From (6034) and (204) follows:
% 201.50/160.72 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.50/160.72 | (109) all_33_0_34 = 0
% 201.50/160.72 |
% 201.50/160.72 | Equations (109) can reduce 72 to:
% 201.50/160.72 | (62) $false
% 201.50/160.72 |
% 201.50/160.72 |-The branch is then unsatisfiable
% 201.50/160.72 |-Branch two:
% 201.50/160.72 | (6038) ~ (greater(all_33_1_35, all_51_2_49) = 0)
% 201.50/160.72 | (6039) all_51_2_49 = all_33_1_35
% 201.50/160.72 |
% 201.50/160.72 | From (6039) and (196) follows:
% 201.50/160.72 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.50/160.72 | (109) all_33_0_34 = 0
% 201.50/160.72 |
% 201.50/160.72 | Equations (109) can reduce 72 to:
% 201.50/160.72 | (62) $false
% 201.50/160.72 |
% 201.50/160.72 |-The branch is then unsatisfiable
% 201.50/160.72 |-Branch two:
% 201.50/160.72 | (5941) ~ (greater(all_33_1_35, all_48_2_43) = 0)
% 201.50/160.72 | (5942) all_48_2_43 = all_33_1_35
% 201.50/160.72 |
% 201.50/160.72 | From (5942) and (166) follows:
% 201.50/160.72 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.50/160.72 | (109) all_33_0_34 = 0
% 201.50/160.72 |
% 201.50/160.72 | Equations (109) can reduce 72 to:
% 201.50/160.72 | (62) $false
% 201.50/160.72 |
% 201.50/160.72 |-The branch is then unsatisfiable
% 201.50/160.72 |-Branch two:
% 201.50/160.72 | (6048) ~ (all_129_1_128 = 0) & environment(all_33_4_38) = all_129_1_128
% 201.50/160.72 |
% 201.50/160.72 | Applying alpha-rule on (6048) yields:
% 201.50/160.72 | (6049) ~ (all_129_1_128 = 0)
% 201.50/160.72 | (6050) environment(all_33_4_38) = all_129_1_128
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (35) with all_33_4_38, all_129_1_128, 0 and discharging atoms environment(all_33_4_38) = all_129_1_128, environment(all_33_4_38) = 0, yields:
% 201.50/160.72 | (246) all_129_1_128 = 0
% 201.50/160.72 |
% 201.50/160.72 | Equations (246) can reduce 6049 to:
% 201.50/160.72 | (62) $false
% 201.50/160.72 |
% 201.50/160.72 |-The branch is then unsatisfiable
% 201.50/160.72 |-Branch two:
% 201.50/160.72 | (6053) ~ (greater(all_48_3_44, all_57_0_67) = 0)
% 201.50/160.72 | (6054) all_57_0_67 = all_48_3_44
% 201.50/160.72 |
% 201.50/160.72 | From (6054) and (83) follows:
% 201.50/160.72 | (6055) start_time(all_33_4_38) = all_48_3_44
% 201.50/160.72 |
% 201.50/160.72 +-Applying beta-rule and splitting (152), into two cases.
% 201.50/160.72 |-Branch one:
% 201.50/160.72 | (244) (all_129_1_128 = 0 & in_environment(all_33_4_38, all_48_3_44) = 0) | ( ~ (all_129_0_127 = 0) & greater_or_equal(all_129_1_128, all_48_3_44) = all_129_0_127 & end_time(all_33_4_38) = all_129_1_128)
% 201.50/160.72 |
% 201.50/160.72 +-Applying beta-rule and splitting (244), into two cases.
% 201.50/160.72 |-Branch one:
% 201.50/160.72 | (245) all_129_1_128 = 0 & in_environment(all_33_4_38, all_48_3_44) = 0
% 201.50/160.72 |
% 201.50/160.72 | Applying alpha-rule on (245) yields:
% 201.50/160.72 | (246) all_129_1_128 = 0
% 201.50/160.72 | (247) in_environment(all_33_4_38, all_48_3_44) = 0
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (44) with all_48_3_44, all_135_2_141, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_135_2_141, all_48_3_44) = 0, yields:
% 201.50/160.72 | (265) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_135_2_141) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_135_2_141, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (44) with all_48_3_44, all_114_2_98, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_114_2_98, all_48_3_44) = 0, yields:
% 201.50/160.72 | (266) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_114_2_98) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_114_2_98, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (44) with all_48_3_44, all_61_2_79, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_61_2_79, all_48_3_44) = 0, yields:
% 201.50/160.72 | (267) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_61_2_79) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_61_2_79, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (44) with all_48_3_44, all_60_2_75, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_60_2_75, all_48_3_44) = 0, yields:
% 201.50/160.72 | (268) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_60_2_75) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_60_2_75, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (44) with all_48_3_44, all_51_2_49, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_51_2_49, all_48_3_44) = 0, yields:
% 201.50/160.72 | (269) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_51_2_49) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_51_2_49, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (44) with all_48_3_44, all_48_2_43, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_48_2_43, all_48_3_44) = 0, yields:
% 201.50/160.72 | (270) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_48_2_43) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_48_2_43, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.50/160.72 |
% 201.50/160.72 | Instantiating formula (36) with all_48_3_44, all_33_4_38 and discharging atoms in_environment(all_33_4_38, all_48_3_44) = 0, yields:
% 201.50/160.72 | (255) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_48_3_44) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.50/160.72 |
% 201.50/160.72 | Instantiating (255) with all_433_0_40811, all_433_1_40812 yields:
% 201.50/160.72 | (6067) (all_433_0_40811 = 0 & greater_or_equal(all_433_1_40812, all_48_3_44) = 0 & end_time(all_33_4_38) = all_433_1_40812) | ( ~ (all_433_1_40812 = 0) & environment(all_33_4_38) = all_433_1_40812)
% 201.50/160.72 |
% 201.50/160.72 | Instantiating (270) with all_443_0_40831, all_443_1_40832 yields:
% 201.50/160.72 | (6068) (all_443_0_40831 = 0 & greater_or_equal(all_443_1_40832, all_48_2_43) = 0 & end_time(all_33_4_38) = all_443_1_40832) | (all_443_0_40831 = 0 & greater(all_48_2_43, all_443_1_40832) = 0 & end_time(all_33_4_38) = all_443_1_40832) | ( ~ (all_443_1_40832 = 0) & environment(all_33_4_38) = all_443_1_40832)
% 201.50/160.72 |
% 201.50/160.72 | Instantiating (269) with all_444_0_40833, all_444_1_40834 yields:
% 201.50/160.72 | (6069) (all_444_0_40833 = 0 & greater_or_equal(all_444_1_40834, all_51_2_49) = 0 & end_time(all_33_4_38) = all_444_1_40834) | (all_444_0_40833 = 0 & greater(all_51_2_49, all_444_1_40834) = 0 & end_time(all_33_4_38) = all_444_1_40834) | ( ~ (all_444_1_40834 = 0) & environment(all_33_4_38) = all_444_1_40834)
% 201.50/160.72 |
% 201.50/160.72 | Instantiating (268) with all_447_0_40839, all_447_1_40840 yields:
% 201.50/160.72 | (6070) (all_447_0_40839 = 0 & greater_or_equal(all_447_1_40840, all_60_2_75) = 0 & end_time(all_33_4_38) = all_447_1_40840) | (all_447_0_40839 = 0 & greater(all_60_2_75, all_447_1_40840) = 0 & end_time(all_33_4_38) = all_447_1_40840) | ( ~ (all_447_1_40840 = 0) & environment(all_33_4_38) = all_447_1_40840)
% 201.50/160.72 |
% 201.50/160.72 | Instantiating (266) with all_448_0_40841, all_448_1_40842 yields:
% 201.50/160.72 | (6071) (all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842) | (all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842) | ( ~ (all_448_1_40842 = 0) & environment(all_33_4_38) = all_448_1_40842)
% 201.50/160.72 |
% 201.50/160.72 | Instantiating (267) with all_449_0_40843, all_449_1_40844 yields:
% 201.50/160.72 | (6072) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844) | ( ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844)
% 201.50/160.72 |
% 201.50/160.72 | Instantiating (265) with all_450_0_40845, all_450_1_40846 yields:
% 201.50/160.72 | (6073) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846) | ( ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846)
% 201.50/160.72 |
% 201.50/160.72 +-Applying beta-rule and splitting (6067), into two cases.
% 201.50/160.72 |-Branch one:
% 201.50/160.72 | (6074) all_433_0_40811 = 0 & greater_or_equal(all_433_1_40812, all_48_3_44) = 0 & end_time(all_33_4_38) = all_433_1_40812
% 201.50/160.72 |
% 201.50/160.72 | Applying alpha-rule on (6074) yields:
% 201.50/160.72 | (6075) all_433_0_40811 = 0
% 201.50/160.73 | (6076) greater_or_equal(all_433_1_40812, all_48_3_44) = 0
% 201.50/160.73 | (6077) end_time(all_33_4_38) = all_433_1_40812
% 201.50/160.73 |
% 201.50/160.73 | Instantiating formula (43) with all_33_4_38, all_433_1_40812, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_433_1_40812, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.73 | (6078) all_433_1_40812 = all_33_1_35
% 201.50/160.73 |
% 201.50/160.73 | From (6078) and (6076) follows:
% 201.50/160.73 | (6079) greater_or_equal(all_33_1_35, all_48_3_44) = 0
% 201.50/160.73 |
% 201.50/160.73 | From (6078) and (6077) follows:
% 201.50/160.73 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.50/160.73 |
% 201.50/160.73 +-Applying beta-rule and splitting (225), into two cases.
% 201.50/160.73 |-Branch one:
% 201.50/160.73 | (264) greater(all_33_1_35, all_48_2_43) = 0
% 201.50/160.73 |
% 201.50/160.73 | Instantiating formula (10) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater_or_equal(all_33_1_35, all_48_3_44) = 0, yields:
% 201.50/160.73 | (345) ? [v0] : ? [v1] : ((v0 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (v1 = 0) & greater_or_equal(v0, all_33_1_35) = v1 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.50/160.73 |
% 201.50/160.73 | Instantiating formula (18) with all_48_3_44, all_48_2_43, all_33_1_35 and discharging atoms greater(all_48_2_43, all_48_3_44) = 0, greater(all_33_1_35, all_48_2_43) = 0, yields:
% 201.50/160.73 | (271) greater(all_33_1_35, all_48_3_44) = 0
% 201.50/160.73 |
% 201.50/160.73 | Instantiating (345) with all_562_0_40878, all_562_1_40879 yields:
% 201.50/160.73 | (6084) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879) | ( ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879)
% 201.50/160.73 |
% 201.50/160.73 +-Applying beta-rule and splitting (6068), into two cases.
% 201.50/160.73 |-Branch one:
% 201.50/160.73 | (6085) (all_443_0_40831 = 0 & greater_or_equal(all_443_1_40832, all_48_2_43) = 0 & end_time(all_33_4_38) = all_443_1_40832) | (all_443_0_40831 = 0 & greater(all_48_2_43, all_443_1_40832) = 0 & end_time(all_33_4_38) = all_443_1_40832)
% 201.50/160.73 |
% 201.50/160.73 +-Applying beta-rule and splitting (6085), into two cases.
% 201.50/160.73 |-Branch one:
% 201.50/160.73 | (6086) all_443_0_40831 = 0 & greater_or_equal(all_443_1_40832, all_48_2_43) = 0 & end_time(all_33_4_38) = all_443_1_40832
% 201.50/160.73 |
% 201.50/160.73 | Applying alpha-rule on (6086) yields:
% 201.50/160.73 | (6087) all_443_0_40831 = 0
% 201.50/160.73 | (6088) greater_or_equal(all_443_1_40832, all_48_2_43) = 0
% 201.50/160.73 | (6089) end_time(all_33_4_38) = all_443_1_40832
% 201.50/160.73 |
% 201.50/160.73 | Instantiating formula (43) with all_33_4_38, all_443_1_40832, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_443_1_40832, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.73 | (6090) all_443_1_40832 = all_33_1_35
% 201.50/160.73 |
% 201.50/160.73 | From (6090) and (6089) follows:
% 201.50/160.73 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.50/160.73 |
% 201.50/160.73 +-Applying beta-rule and splitting (6069), into two cases.
% 201.50/160.73 |-Branch one:
% 201.50/160.73 | (6092) (all_444_0_40833 = 0 & greater_or_equal(all_444_1_40834, all_51_2_49) = 0 & end_time(all_33_4_38) = all_444_1_40834) | (all_444_0_40833 = 0 & greater(all_51_2_49, all_444_1_40834) = 0 & end_time(all_33_4_38) = all_444_1_40834)
% 201.50/160.73 |
% 201.50/160.73 +-Applying beta-rule and splitting (6092), into two cases.
% 201.50/160.73 |-Branch one:
% 201.50/160.73 | (6093) all_444_0_40833 = 0 & greater_or_equal(all_444_1_40834, all_51_2_49) = 0 & end_time(all_33_4_38) = all_444_1_40834
% 201.50/160.73 |
% 201.50/160.73 | Applying alpha-rule on (6093) yields:
% 201.50/160.73 | (6094) all_444_0_40833 = 0
% 201.50/160.73 | (6095) greater_or_equal(all_444_1_40834, all_51_2_49) = 0
% 201.50/160.73 | (6096) end_time(all_33_4_38) = all_444_1_40834
% 201.50/160.73 |
% 201.50/160.73 | Instantiating formula (43) with all_33_4_38, all_444_1_40834, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_444_1_40834, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.73 | (6097) all_444_1_40834 = all_33_1_35
% 201.50/160.73 |
% 201.50/160.73 | From (6097) and (6096) follows:
% 201.50/160.73 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.50/160.73 |
% 201.50/160.73 +-Applying beta-rule and splitting (6070), into two cases.
% 201.50/160.73 |-Branch one:
% 201.50/160.73 | (6099) (all_447_0_40839 = 0 & greater_or_equal(all_447_1_40840, all_60_2_75) = 0 & end_time(all_33_4_38) = all_447_1_40840) | (all_447_0_40839 = 0 & greater(all_60_2_75, all_447_1_40840) = 0 & end_time(all_33_4_38) = all_447_1_40840)
% 201.50/160.73 |
% 201.50/160.73 +-Applying beta-rule and splitting (6099), into two cases.
% 201.50/160.73 |-Branch one:
% 201.50/160.73 | (6100) all_447_0_40839 = 0 & greater_or_equal(all_447_1_40840, all_60_2_75) = 0 & end_time(all_33_4_38) = all_447_1_40840
% 201.50/160.73 |
% 201.50/160.73 | Applying alpha-rule on (6100) yields:
% 201.50/160.73 | (6101) all_447_0_40839 = 0
% 201.50/160.73 | (6102) greater_or_equal(all_447_1_40840, all_60_2_75) = 0
% 201.50/160.73 | (6103) end_time(all_33_4_38) = all_447_1_40840
% 201.50/160.73 |
% 201.50/160.73 | Instantiating formula (43) with all_33_4_38, all_447_1_40840, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_447_1_40840, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.73 | (6104) all_447_1_40840 = all_33_1_35
% 201.50/160.73 |
% 201.50/160.73 | From (6104) and (6103) follows:
% 201.50/160.73 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.50/160.73 |
% 201.50/160.73 +-Applying beta-rule and splitting (6071), into two cases.
% 201.50/160.73 |-Branch one:
% 201.50/160.73 | (6106) (all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842) | (all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842)
% 201.50/160.73 |
% 201.50/160.73 +-Applying beta-rule and splitting (6106), into two cases.
% 201.50/160.73 |-Branch one:
% 201.50/160.73 | (6107) all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 201.50/160.73 |
% 201.50/160.73 | Applying alpha-rule on (6107) yields:
% 201.50/160.73 | (6108) all_448_0_40841 = 0
% 201.50/160.73 | (6109) greater_or_equal(all_448_1_40842, all_114_2_98) = 0
% 201.50/160.74 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 201.50/160.74 |
% 201.50/160.74 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.74 | (6111) all_448_1_40842 = all_33_1_35
% 201.50/160.74 |
% 201.50/160.74 | From (6111) and (6110) follows:
% 201.50/160.74 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.50/160.74 |
% 201.50/160.74 +-Applying beta-rule and splitting (6072), into two cases.
% 201.50/160.74 |-Branch one:
% 201.50/160.74 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 201.50/160.74 |
% 201.50/160.74 +-Applying beta-rule and splitting (6113), into two cases.
% 201.50/160.74 |-Branch one:
% 201.50/160.74 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 201.50/160.74 |
% 201.50/160.74 | Applying alpha-rule on (6114) yields:
% 201.50/160.74 | (6115) all_449_0_40843 = 0
% 201.50/160.74 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 201.50/160.74 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 201.50/160.74 |
% 201.50/160.74 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.74 | (6118) all_449_1_40844 = all_33_1_35
% 201.50/160.74 |
% 201.50/160.74 | From (6118) and (6117) follows:
% 201.50/160.74 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.50/160.74 |
% 201.50/160.74 +-Applying beta-rule and splitting (6073), into two cases.
% 201.50/160.74 |-Branch one:
% 201.50/160.74 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 201.50/160.74 |
% 201.50/160.74 +-Applying beta-rule and splitting (6120), into two cases.
% 201.50/160.74 |-Branch one:
% 201.50/160.74 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 201.50/160.74 |
% 201.50/160.74 | Applying alpha-rule on (6121) yields:
% 201.50/160.74 | (6122) all_450_0_40845 = 0
% 201.50/160.74 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 201.50/160.74 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 201.50/160.74 |
% 201.50/160.74 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.74 | (6125) all_450_1_40846 = all_33_1_35
% 201.50/160.74 |
% 201.50/160.74 | From (6125) and (6124) follows:
% 201.50/160.74 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.50/160.74 |
% 201.50/160.74 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.50/160.74 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.50/160.74 |
% 201.50/160.74 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.50/160.74 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 201.50/160.74 |
% 201.50/160.74 | Instantiating (287) with all_775_0_40889 yields:
% 201.50/160.74 | (6129) (all_775_0_40889 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_775_0_40889 = 0) & environment(all_33_4_38) = all_775_0_40889) | ( ~ (all_775_0_40889 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_775_0_40889)
% 201.50/160.74 |
% 201.50/160.74 | Instantiating (6127) with all_786_0_40907, all_786_1_40908 yields:
% 201.50/160.74 | (6130) (all_786_0_40907 = 0 & greater_or_equal(all_786_1_40908, all_33_1_35) = 0 & end_time(all_33_4_38) = all_786_1_40908) | (all_786_0_40907 = 0 & greater(all_33_1_35, all_786_1_40908) = 0 & end_time(all_33_4_38) = all_786_1_40908) | ( ~ (all_786_1_40908 = 0) & environment(all_33_4_38) = all_786_1_40908)
% 201.50/160.74 |
% 201.50/160.74 +-Applying beta-rule and splitting (6129), into two cases.
% 201.50/160.74 |-Branch one:
% 201.50/160.74 | (6131) (all_775_0_40889 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_775_0_40889 = 0) & environment(all_33_4_38) = all_775_0_40889)
% 201.50/160.74 |
% 201.50/160.74 +-Applying beta-rule and splitting (6131), into two cases.
% 201.50/160.74 |-Branch one:
% 201.50/160.74 | (6132) all_775_0_40889 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.50/160.74 |
% 201.50/160.74 | Applying alpha-rule on (6132) yields:
% 201.50/160.74 | (6133) all_775_0_40889 = 0
% 201.50/160.74 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.50/160.74 |
% 201.50/160.74 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.50/160.74 | (109) all_33_0_34 = 0
% 201.50/160.74 |
% 201.50/160.74 | Equations (109) can reduce 72 to:
% 201.50/160.74 | (62) $false
% 201.50/160.74 |
% 201.50/160.74 |-The branch is then unsatisfiable
% 201.50/160.74 |-Branch two:
% 201.50/160.74 | (6137) ~ (all_775_0_40889 = 0) & environment(all_33_4_38) = all_775_0_40889
% 201.50/160.74 |
% 201.50/160.74 | Applying alpha-rule on (6137) yields:
% 201.50/160.74 | (6138) ~ (all_775_0_40889 = 0)
% 201.50/160.74 | (6139) environment(all_33_4_38) = all_775_0_40889
% 201.50/160.74 |
% 201.50/160.74 | Instantiating formula (35) with all_33_4_38, all_775_0_40889, 0 and discharging atoms environment(all_33_4_38) = all_775_0_40889, environment(all_33_4_38) = 0, yields:
% 201.50/160.74 | (6133) all_775_0_40889 = 0
% 201.50/160.74 |
% 201.50/160.74 | Equations (6133) can reduce 6138 to:
% 201.50/160.74 | (62) $false
% 201.50/160.74 |
% 201.50/160.74 |-The branch is then unsatisfiable
% 201.50/160.74 |-Branch two:
% 201.50/160.75 | (6142) ~ (all_775_0_40889 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_775_0_40889
% 201.50/160.75 |
% 201.50/160.75 | Applying alpha-rule on (6142) yields:
% 201.50/160.75 | (6138) ~ (all_775_0_40889 = 0)
% 201.50/160.75 | (6144) in_environment(all_33_4_38, all_33_1_35) = all_775_0_40889
% 201.50/160.75 |
% 201.50/160.75 +-Applying beta-rule and splitting (6084), into two cases.
% 201.50/160.75 |-Branch one:
% 201.50/160.75 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 201.50/160.75 |
% 201.50/160.75 +-Applying beta-rule and splitting (6145), into two cases.
% 201.50/160.75 |-Branch one:
% 201.50/160.75 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.50/160.75 |
% 201.50/160.75 | Applying alpha-rule on (6146) yields:
% 201.50/160.75 | (6147) all_562_1_40879 = 0
% 201.50/160.75 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.50/160.75 |
% 201.50/160.75 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_775_0_40889 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_775_0_40889, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.50/160.75 | (6133) all_775_0_40889 = 0
% 201.50/160.75 |
% 201.50/160.75 | Equations (6133) can reduce 6138 to:
% 201.50/160.75 | (62) $false
% 201.50/160.75 |
% 201.50/160.75 |-The branch is then unsatisfiable
% 201.50/160.75 |-Branch two:
% 201.50/160.75 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 201.50/160.75 |
% 201.50/160.75 | Applying alpha-rule on (6151) yields:
% 201.50/160.75 | (6152) ~ (all_562_0_40878 = 0)
% 201.50/160.75 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 201.50/160.75 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 201.50/160.75 |
% 201.50/160.75 +-Applying beta-rule and splitting (6130), into two cases.
% 201.50/160.75 |-Branch one:
% 201.50/160.75 | (6155) (all_786_0_40907 = 0 & greater_or_equal(all_786_1_40908, all_33_1_35) = 0 & end_time(all_33_4_38) = all_786_1_40908) | (all_786_0_40907 = 0 & greater(all_33_1_35, all_786_1_40908) = 0 & end_time(all_33_4_38) = all_786_1_40908)
% 201.50/160.75 |
% 201.50/160.75 +-Applying beta-rule and splitting (6155), into two cases.
% 201.50/160.75 |-Branch one:
% 201.50/160.75 | (6156) all_786_0_40907 = 0 & greater_or_equal(all_786_1_40908, all_33_1_35) = 0 & end_time(all_33_4_38) = all_786_1_40908
% 201.50/160.75 |
% 201.50/160.75 | Applying alpha-rule on (6156) yields:
% 201.50/160.75 | (6157) all_786_0_40907 = 0
% 201.50/160.75 | (6158) greater_or_equal(all_786_1_40908, all_33_1_35) = 0
% 201.50/160.75 | (6159) end_time(all_33_4_38) = all_786_1_40908
% 201.50/160.75 |
% 201.50/160.75 | Instantiating formula (43) with all_33_4_38, all_786_1_40908, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_786_1_40908, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.75 | (6160) all_786_1_40908 = all_33_1_35
% 201.50/160.75 |
% 201.50/160.75 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_786_1_40908 and discharging atoms end_time(all_33_4_38) = all_786_1_40908, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.50/160.75 | (6161) all_786_1_40908 = all_562_1_40879
% 201.50/160.75 |
% 201.50/160.75 | Combining equations (6161,6160) yields a new equation:
% 201.50/160.75 | (6162) all_562_1_40879 = all_33_1_35
% 201.50/160.75 |
% 201.50/160.75 | Simplifying 6162 yields:
% 201.50/160.75 | (6163) all_562_1_40879 = all_33_1_35
% 201.50/160.75 |
% 201.50/160.75 | From (6160) and (6158) follows:
% 201.50/160.75 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 201.50/160.75 |
% 201.50/160.75 | From (6163) and (6153) follows:
% 201.50/160.75 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.50/160.75 |
% 201.50/160.75 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 201.50/160.75 | (6166) all_562_0_40878 = 0
% 201.50/160.75 |
% 201.50/160.75 | Equations (6166) can reduce 6152 to:
% 201.50/160.75 | (62) $false
% 201.50/160.75 |
% 201.50/160.75 |-The branch is then unsatisfiable
% 201.50/160.75 |-Branch two:
% 201.50/160.75 | (6168) all_786_0_40907 = 0 & greater(all_33_1_35, all_786_1_40908) = 0 & end_time(all_33_4_38) = all_786_1_40908
% 201.50/160.75 |
% 201.50/160.75 | Applying alpha-rule on (6168) yields:
% 201.50/160.75 | (6157) all_786_0_40907 = 0
% 201.50/160.75 | (6170) greater(all_33_1_35, all_786_1_40908) = 0
% 201.50/160.76 | (6159) end_time(all_33_4_38) = all_786_1_40908
% 201.50/160.76 |
% 201.50/160.76 | Instantiating formula (43) with all_33_4_38, all_786_1_40908, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_786_1_40908, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.76 | (6160) all_786_1_40908 = all_33_1_35
% 201.50/160.76 |
% 201.50/160.76 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_786_1_40908 and discharging atoms end_time(all_33_4_38) = all_786_1_40908, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.50/160.76 | (6161) all_786_1_40908 = all_562_1_40879
% 201.50/160.76 |
% 201.50/160.76 | Combining equations (6161,6160) yields a new equation:
% 201.50/160.76 | (6162) all_562_1_40879 = all_33_1_35
% 201.50/160.76 |
% 201.50/160.76 | Simplifying 6162 yields:
% 201.50/160.76 | (6163) all_562_1_40879 = all_33_1_35
% 201.50/160.76 |
% 201.50/160.76 | From (6163) and (6153) follows:
% 201.50/160.76 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.50/160.76 |
% 201.50/160.76 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 201.50/160.76 | (6166) all_562_0_40878 = 0
% 201.50/160.76 |
% 201.50/160.76 | Equations (6166) can reduce 6152 to:
% 201.50/160.76 | (62) $false
% 201.50/160.76 |
% 201.50/160.76 |-The branch is then unsatisfiable
% 201.50/160.76 |-Branch two:
% 201.50/160.76 | (6179) ~ (all_786_1_40908 = 0) & environment(all_33_4_38) = all_786_1_40908
% 201.50/160.76 |
% 201.50/160.76 | Applying alpha-rule on (6179) yields:
% 201.50/160.76 | (6180) ~ (all_786_1_40908 = 0)
% 201.50/160.76 | (6181) environment(all_33_4_38) = all_786_1_40908
% 201.50/160.76 |
% 201.50/160.76 | Instantiating formula (35) with all_33_4_38, all_786_1_40908, 0 and discharging atoms environment(all_33_4_38) = all_786_1_40908, environment(all_33_4_38) = 0, yields:
% 201.50/160.76 | (6182) all_786_1_40908 = 0
% 201.50/160.76 |
% 201.50/160.76 | Equations (6182) can reduce 6180 to:
% 201.50/160.76 | (62) $false
% 201.50/160.76 |
% 201.50/160.76 |-The branch is then unsatisfiable
% 201.50/160.76 |-Branch two:
% 201.50/160.76 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 201.50/160.76 |
% 201.50/160.76 | Applying alpha-rule on (6184) yields:
% 201.50/160.76 | (6185) ~ (all_562_1_40879 = 0)
% 201.50/160.76 | (6186) environment(all_33_4_38) = all_562_1_40879
% 201.50/160.76 |
% 201.50/160.76 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 201.50/160.76 | (6147) all_562_1_40879 = 0
% 201.50/160.76 |
% 201.50/160.76 | Equations (6147) can reduce 6185 to:
% 201.50/160.76 | (62) $false
% 201.50/160.76 |
% 201.50/160.76 |-The branch is then unsatisfiable
% 201.50/160.76 |-Branch two:
% 201.50/160.76 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 201.50/160.76 |
% 201.50/160.76 | Applying alpha-rule on (6189) yields:
% 201.50/160.76 | (6122) all_450_0_40845 = 0
% 201.50/160.76 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 201.50/160.76 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 201.50/160.76 |
% 201.50/160.76 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.76 | (6125) all_450_1_40846 = all_33_1_35
% 201.50/160.76 |
% 201.50/160.76 | From (6125) and (6124) follows:
% 201.50/160.76 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.50/160.76 |
% 201.50/160.76 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.50/160.76 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.50/160.76 |
% 201.50/160.76 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.50/160.76 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 201.50/160.76 |
% 201.50/160.76 | Instantiating (287) with all_780_0_40925 yields:
% 201.50/160.76 | (6197) (all_780_0_40925 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_40925 = 0) & environment(all_33_4_38) = all_780_0_40925) | ( ~ (all_780_0_40925 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_40925)
% 201.50/160.76 |
% 201.50/160.76 | Instantiating (6127) with all_790_0_40943, all_790_1_40944 yields:
% 201.50/160.76 | (6198) (all_790_0_40943 = 0 & greater_or_equal(all_790_1_40944, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_40944) | (all_790_0_40943 = 0 & greater(all_33_1_35, all_790_1_40944) = 0 & end_time(all_33_4_38) = all_790_1_40944) | ( ~ (all_790_1_40944 = 0) & environment(all_33_4_38) = all_790_1_40944)
% 201.50/160.76 |
% 201.50/160.76 +-Applying beta-rule and splitting (6197), into two cases.
% 201.50/160.76 |-Branch one:
% 201.50/160.76 | (6199) (all_780_0_40925 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_40925 = 0) & environment(all_33_4_38) = all_780_0_40925)
% 201.50/160.76 |
% 201.50/160.76 +-Applying beta-rule and splitting (6199), into two cases.
% 201.50/160.76 |-Branch one:
% 201.50/160.76 | (6200) all_780_0_40925 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.50/160.76 |
% 201.50/160.76 | Applying alpha-rule on (6200) yields:
% 201.50/160.76 | (6201) all_780_0_40925 = 0
% 201.50/160.77 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.50/160.77 |
% 201.50/160.77 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.50/160.77 | (109) all_33_0_34 = 0
% 201.50/160.77 |
% 201.50/160.77 | Equations (109) can reduce 72 to:
% 201.50/160.77 | (62) $false
% 201.50/160.77 |
% 201.50/160.77 |-The branch is then unsatisfiable
% 201.50/160.77 |-Branch two:
% 201.50/160.77 | (6205) ~ (all_780_0_40925 = 0) & environment(all_33_4_38) = all_780_0_40925
% 201.50/160.77 |
% 201.50/160.77 | Applying alpha-rule on (6205) yields:
% 201.50/160.77 | (6206) ~ (all_780_0_40925 = 0)
% 201.50/160.77 | (6207) environment(all_33_4_38) = all_780_0_40925
% 201.50/160.77 |
% 201.50/160.77 | Instantiating formula (35) with all_33_4_38, all_780_0_40925, 0 and discharging atoms environment(all_33_4_38) = all_780_0_40925, environment(all_33_4_38) = 0, yields:
% 201.50/160.77 | (6201) all_780_0_40925 = 0
% 201.50/160.77 |
% 201.50/160.77 | Equations (6201) can reduce 6206 to:
% 201.50/160.77 | (62) $false
% 201.50/160.77 |
% 201.50/160.77 |-The branch is then unsatisfiable
% 201.50/160.77 |-Branch two:
% 201.50/160.77 | (6210) ~ (all_780_0_40925 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_40925
% 201.50/160.77 |
% 201.50/160.77 | Applying alpha-rule on (6210) yields:
% 201.50/160.77 | (6206) ~ (all_780_0_40925 = 0)
% 201.50/160.77 | (6212) in_environment(all_33_4_38, all_33_1_35) = all_780_0_40925
% 201.50/160.77 |
% 201.50/160.77 +-Applying beta-rule and splitting (6084), into two cases.
% 201.50/160.77 |-Branch one:
% 201.50/160.77 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 201.50/160.77 |
% 201.50/160.77 +-Applying beta-rule and splitting (6145), into two cases.
% 201.50/160.77 |-Branch one:
% 201.50/160.77 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.50/160.77 |
% 201.50/160.77 | Applying alpha-rule on (6146) yields:
% 201.50/160.77 | (6147) all_562_1_40879 = 0
% 201.50/160.77 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.50/160.77 |
% 201.50/160.77 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_780_0_40925 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_780_0_40925, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.50/160.77 | (6201) all_780_0_40925 = 0
% 201.50/160.77 |
% 201.50/160.77 | Equations (6201) can reduce 6206 to:
% 201.50/160.77 | (62) $false
% 201.50/160.77 |
% 201.50/160.77 |-The branch is then unsatisfiable
% 201.50/160.77 |-Branch two:
% 201.50/160.77 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 201.50/160.77 |
% 201.50/160.77 | Applying alpha-rule on (6151) yields:
% 201.50/160.77 | (6152) ~ (all_562_0_40878 = 0)
% 201.50/160.77 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 201.50/160.77 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 201.50/160.77 |
% 201.50/160.77 +-Applying beta-rule and splitting (6198), into two cases.
% 201.50/160.77 |-Branch one:
% 201.50/160.77 | (6223) (all_790_0_40943 = 0 & greater_or_equal(all_790_1_40944, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_40944) | (all_790_0_40943 = 0 & greater(all_33_1_35, all_790_1_40944) = 0 & end_time(all_33_4_38) = all_790_1_40944)
% 201.50/160.77 |
% 201.50/160.77 +-Applying beta-rule and splitting (6223), into two cases.
% 201.50/160.77 |-Branch one:
% 201.50/160.77 | (6224) all_790_0_40943 = 0 & greater_or_equal(all_790_1_40944, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_40944
% 201.50/160.77 |
% 201.50/160.77 | Applying alpha-rule on (6224) yields:
% 201.50/160.77 | (6225) all_790_0_40943 = 0
% 201.50/160.77 | (6226) greater_or_equal(all_790_1_40944, all_33_1_35) = 0
% 201.50/160.77 | (6227) end_time(all_33_4_38) = all_790_1_40944
% 201.50/160.77 |
% 201.50/160.77 | Instantiating formula (43) with all_33_4_38, all_790_1_40944, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_40944, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.77 | (6228) all_790_1_40944 = all_33_1_35
% 201.50/160.77 |
% 201.50/160.77 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_40944 and discharging atoms end_time(all_33_4_38) = all_790_1_40944, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.50/160.77 | (6229) all_790_1_40944 = all_562_1_40879
% 201.50/160.77 |
% 201.50/160.77 | Combining equations (6229,6228) yields a new equation:
% 201.50/160.77 | (6162) all_562_1_40879 = all_33_1_35
% 201.50/160.77 |
% 201.50/160.77 | Simplifying 6162 yields:
% 201.50/160.77 | (6163) all_562_1_40879 = all_33_1_35
% 201.50/160.77 |
% 201.50/160.77 | From (6228) and (6226) follows:
% 201.50/160.77 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 201.50/160.77 |
% 201.50/160.77 | From (6163) and (6153) follows:
% 201.50/160.77 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.50/160.77 |
% 201.50/160.77 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 201.50/160.77 | (6166) all_562_0_40878 = 0
% 201.50/160.77 |
% 201.50/160.77 | Equations (6166) can reduce 6152 to:
% 201.50/160.77 | (62) $false
% 201.50/160.77 |
% 201.50/160.77 |-The branch is then unsatisfiable
% 201.50/160.77 |-Branch two:
% 201.50/160.77 | (6236) all_790_0_40943 = 0 & greater(all_33_1_35, all_790_1_40944) = 0 & end_time(all_33_4_38) = all_790_1_40944
% 201.50/160.77 |
% 201.50/160.77 | Applying alpha-rule on (6236) yields:
% 201.50/160.77 | (6225) all_790_0_40943 = 0
% 201.50/160.78 | (6238) greater(all_33_1_35, all_790_1_40944) = 0
% 201.50/160.78 | (6227) end_time(all_33_4_38) = all_790_1_40944
% 201.50/160.78 |
% 201.50/160.78 | Instantiating formula (43) with all_33_4_38, all_790_1_40944, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_40944, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.78 | (6228) all_790_1_40944 = all_33_1_35
% 201.50/160.78 |
% 201.50/160.78 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_40944 and discharging atoms end_time(all_33_4_38) = all_790_1_40944, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.50/160.78 | (6229) all_790_1_40944 = all_562_1_40879
% 201.50/160.78 |
% 201.50/160.78 | Combining equations (6229,6228) yields a new equation:
% 201.50/160.78 | (6162) all_562_1_40879 = all_33_1_35
% 201.50/160.78 |
% 201.50/160.78 | Simplifying 6162 yields:
% 201.50/160.78 | (6163) all_562_1_40879 = all_33_1_35
% 201.50/160.78 |
% 201.50/160.78 | From (6163) and (6153) follows:
% 201.50/160.78 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.50/160.78 |
% 201.50/160.78 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 201.50/160.78 | (6166) all_562_0_40878 = 0
% 201.50/160.78 |
% 201.50/160.78 | Equations (6166) can reduce 6152 to:
% 201.50/160.78 | (62) $false
% 201.50/160.78 |
% 201.50/160.78 |-The branch is then unsatisfiable
% 201.50/160.78 |-Branch two:
% 201.50/160.78 | (6247) ~ (all_790_1_40944 = 0) & environment(all_33_4_38) = all_790_1_40944
% 201.50/160.78 |
% 201.50/160.78 | Applying alpha-rule on (6247) yields:
% 201.50/160.78 | (6248) ~ (all_790_1_40944 = 0)
% 201.50/160.78 | (6249) environment(all_33_4_38) = all_790_1_40944
% 201.50/160.78 |
% 201.50/160.78 | Instantiating formula (35) with all_33_4_38, all_790_1_40944, 0 and discharging atoms environment(all_33_4_38) = all_790_1_40944, environment(all_33_4_38) = 0, yields:
% 201.50/160.78 | (6250) all_790_1_40944 = 0
% 201.50/160.78 |
% 201.50/160.78 | Equations (6250) can reduce 6248 to:
% 201.50/160.78 | (62) $false
% 201.50/160.78 |
% 201.50/160.78 |-The branch is then unsatisfiable
% 201.50/160.78 |-Branch two:
% 201.50/160.78 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 201.50/160.78 |
% 201.50/160.78 | Applying alpha-rule on (6184) yields:
% 201.50/160.78 | (6185) ~ (all_562_1_40879 = 0)
% 201.50/160.78 | (6186) environment(all_33_4_38) = all_562_1_40879
% 201.50/160.78 |
% 201.50/160.78 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 201.50/160.78 | (6147) all_562_1_40879 = 0
% 201.50/160.78 |
% 201.50/160.78 | Equations (6147) can reduce 6185 to:
% 201.50/160.78 | (62) $false
% 201.50/160.78 |
% 201.50/160.78 |-The branch is then unsatisfiable
% 201.50/160.78 |-Branch two:
% 201.50/160.78 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 201.50/160.78 |
% 201.50/160.78 | Applying alpha-rule on (6257) yields:
% 201.50/160.78 | (6258) ~ (all_450_1_40846 = 0)
% 201.50/160.78 | (6259) environment(all_33_4_38) = all_450_1_40846
% 201.50/160.78 |
% 201.50/160.78 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 201.50/160.78 | (6260) all_450_1_40846 = 0
% 201.50/160.78 |
% 201.50/160.78 | Equations (6260) can reduce 6258 to:
% 201.50/160.78 | (62) $false
% 201.50/160.78 |
% 201.50/160.78 |-The branch is then unsatisfiable
% 201.50/160.78 |-Branch two:
% 201.50/160.78 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 201.50/160.78 |
% 201.50/160.78 | Applying alpha-rule on (6262) yields:
% 201.50/160.78 | (6115) all_449_0_40843 = 0
% 201.50/160.78 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 201.50/160.78 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 201.50/160.78 |
% 201.50/160.78 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.78 | (6118) all_449_1_40844 = all_33_1_35
% 201.50/160.78 |
% 201.50/160.78 | From (6118) and (6117) follows:
% 201.50/160.78 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.50/160.78 |
% 201.50/160.78 +-Applying beta-rule and splitting (6073), into two cases.
% 201.50/160.78 |-Branch one:
% 201.50/160.78 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 201.50/160.78 |
% 201.50/160.79 +-Applying beta-rule and splitting (6120), into two cases.
% 201.50/160.79 |-Branch one:
% 201.50/160.79 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 201.50/160.79 |
% 201.50/160.79 | Applying alpha-rule on (6121) yields:
% 201.50/160.79 | (6122) all_450_0_40845 = 0
% 201.50/160.79 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 201.50/160.79 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 201.50/160.79 |
% 201.50/160.79 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.50/160.79 | (6125) all_450_1_40846 = all_33_1_35
% 201.50/160.79 |
% 201.50/160.79 | From (6125) and (6124) follows:
% 201.50/160.79 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.50/160.79 |
% 201.50/160.79 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.80/160.79 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.80/160.79 |
% 201.80/160.79 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.80/160.79 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 201.80/160.79 |
% 201.80/160.79 | Instantiating (287) with all_780_0_40955 yields:
% 201.80/160.79 | (6277) (all_780_0_40955 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_40955 = 0) & environment(all_33_4_38) = all_780_0_40955) | ( ~ (all_780_0_40955 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_40955)
% 201.80/160.79 |
% 201.80/160.79 | Instantiating (6127) with all_790_0_40973, all_790_1_40974 yields:
% 201.80/160.79 | (6278) (all_790_0_40973 = 0 & greater_or_equal(all_790_1_40974, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_40974) | (all_790_0_40973 = 0 & greater(all_33_1_35, all_790_1_40974) = 0 & end_time(all_33_4_38) = all_790_1_40974) | ( ~ (all_790_1_40974 = 0) & environment(all_33_4_38) = all_790_1_40974)
% 201.80/160.79 |
% 201.80/160.79 +-Applying beta-rule and splitting (6277), into two cases.
% 201.80/160.79 |-Branch one:
% 201.80/160.79 | (6279) (all_780_0_40955 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_40955 = 0) & environment(all_33_4_38) = all_780_0_40955)
% 201.80/160.79 |
% 201.80/160.79 +-Applying beta-rule and splitting (6279), into two cases.
% 201.80/160.79 |-Branch one:
% 201.80/160.79 | (6280) all_780_0_40955 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.80/160.79 |
% 201.80/160.79 | Applying alpha-rule on (6280) yields:
% 201.80/160.79 | (6281) all_780_0_40955 = 0
% 201.80/160.79 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.80/160.79 |
% 201.80/160.79 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.80/160.79 | (109) all_33_0_34 = 0
% 201.80/160.79 |
% 201.80/160.79 | Equations (109) can reduce 72 to:
% 201.80/160.79 | (62) $false
% 201.80/160.79 |
% 201.80/160.79 |-The branch is then unsatisfiable
% 201.80/160.79 |-Branch two:
% 201.80/160.79 | (6285) ~ (all_780_0_40955 = 0) & environment(all_33_4_38) = all_780_0_40955
% 201.80/160.79 |
% 201.80/160.79 | Applying alpha-rule on (6285) yields:
% 201.80/160.79 | (6286) ~ (all_780_0_40955 = 0)
% 201.80/160.79 | (6287) environment(all_33_4_38) = all_780_0_40955
% 201.80/160.79 |
% 201.80/160.79 | Instantiating formula (35) with all_33_4_38, all_780_0_40955, 0 and discharging atoms environment(all_33_4_38) = all_780_0_40955, environment(all_33_4_38) = 0, yields:
% 201.80/160.79 | (6281) all_780_0_40955 = 0
% 201.80/160.79 |
% 201.80/160.79 | Equations (6281) can reduce 6286 to:
% 201.80/160.79 | (62) $false
% 201.80/160.79 |
% 201.80/160.79 |-The branch is then unsatisfiable
% 201.80/160.79 |-Branch two:
% 201.80/160.79 | (6290) ~ (all_780_0_40955 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_40955
% 201.80/160.79 |
% 201.80/160.79 | Applying alpha-rule on (6290) yields:
% 201.80/160.79 | (6286) ~ (all_780_0_40955 = 0)
% 201.80/160.79 | (6292) in_environment(all_33_4_38, all_33_1_35) = all_780_0_40955
% 201.80/160.79 |
% 201.80/160.79 +-Applying beta-rule and splitting (6084), into two cases.
% 201.80/160.79 |-Branch one:
% 201.80/160.79 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 201.80/160.79 |
% 201.80/160.79 +-Applying beta-rule and splitting (6145), into two cases.
% 201.80/160.79 |-Branch one:
% 201.80/160.79 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.80/160.79 |
% 201.80/160.79 | Applying alpha-rule on (6146) yields:
% 201.80/160.79 | (6147) all_562_1_40879 = 0
% 201.80/160.79 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.80/160.79 |
% 201.80/160.79 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_780_0_40955 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_780_0_40955, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.80/160.79 | (6281) all_780_0_40955 = 0
% 201.80/160.79 |
% 201.80/160.79 | Equations (6281) can reduce 6286 to:
% 201.80/160.79 | (62) $false
% 201.80/160.79 |
% 201.80/160.79 |-The branch is then unsatisfiable
% 201.80/160.79 |-Branch two:
% 201.80/160.79 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 201.80/160.79 |
% 201.80/160.79 | Applying alpha-rule on (6151) yields:
% 201.80/160.79 | (6152) ~ (all_562_0_40878 = 0)
% 201.80/160.79 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 201.80/160.79 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 201.80/160.79 |
% 201.80/160.79 +-Applying beta-rule and splitting (6278), into two cases.
% 201.80/160.79 |-Branch one:
% 201.80/160.79 | (6303) (all_790_0_40973 = 0 & greater_or_equal(all_790_1_40974, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_40974) | (all_790_0_40973 = 0 & greater(all_33_1_35, all_790_1_40974) = 0 & end_time(all_33_4_38) = all_790_1_40974)
% 201.80/160.79 |
% 201.80/160.79 +-Applying beta-rule and splitting (6303), into two cases.
% 201.80/160.79 |-Branch one:
% 201.80/160.79 | (6304) all_790_0_40973 = 0 & greater_or_equal(all_790_1_40974, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_40974
% 201.80/160.79 |
% 201.80/160.79 | Applying alpha-rule on (6304) yields:
% 201.80/160.80 | (6305) all_790_0_40973 = 0
% 201.80/160.80 | (6306) greater_or_equal(all_790_1_40974, all_33_1_35) = 0
% 201.80/160.80 | (6307) end_time(all_33_4_38) = all_790_1_40974
% 201.80/160.80 |
% 201.80/160.80 | Instantiating formula (43) with all_33_4_38, all_790_1_40974, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_40974, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.80 | (6308) all_790_1_40974 = all_33_1_35
% 201.80/160.80 |
% 201.80/160.80 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_40974 and discharging atoms end_time(all_33_4_38) = all_790_1_40974, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.80/160.80 | (6309) all_790_1_40974 = all_562_1_40879
% 201.80/160.80 |
% 201.80/160.80 | Combining equations (6309,6308) yields a new equation:
% 201.80/160.80 | (6162) all_562_1_40879 = all_33_1_35
% 201.80/160.80 |
% 201.80/160.80 | Simplifying 6162 yields:
% 201.80/160.80 | (6163) all_562_1_40879 = all_33_1_35
% 201.80/160.80 |
% 201.80/160.80 | From (6308) and (6306) follows:
% 201.80/160.80 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 201.80/160.80 |
% 201.80/160.80 | From (6163) and (6153) follows:
% 201.80/160.80 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.80/160.80 |
% 201.80/160.80 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 201.80/160.80 | (6166) all_562_0_40878 = 0
% 201.80/160.80 |
% 201.80/160.80 | Equations (6166) can reduce 6152 to:
% 201.80/160.80 | (62) $false
% 201.80/160.80 |
% 201.80/160.80 |-The branch is then unsatisfiable
% 201.80/160.80 |-Branch two:
% 201.80/160.80 | (6316) all_790_0_40973 = 0 & greater(all_33_1_35, all_790_1_40974) = 0 & end_time(all_33_4_38) = all_790_1_40974
% 201.80/160.80 |
% 201.80/160.80 | Applying alpha-rule on (6316) yields:
% 201.80/160.80 | (6305) all_790_0_40973 = 0
% 201.80/160.80 | (6318) greater(all_33_1_35, all_790_1_40974) = 0
% 201.80/160.80 | (6307) end_time(all_33_4_38) = all_790_1_40974
% 201.80/160.80 |
% 201.80/160.80 | Instantiating formula (43) with all_33_4_38, all_790_1_40974, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_40974, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.80 | (6308) all_790_1_40974 = all_33_1_35
% 201.80/160.80 |
% 201.80/160.80 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_40974 and discharging atoms end_time(all_33_4_38) = all_790_1_40974, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.80/160.80 | (6309) all_790_1_40974 = all_562_1_40879
% 201.80/160.80 |
% 201.80/160.80 | Combining equations (6309,6308) yields a new equation:
% 201.80/160.80 | (6162) all_562_1_40879 = all_33_1_35
% 201.80/160.80 |
% 201.80/160.80 | Simplifying 6162 yields:
% 201.80/160.80 | (6163) all_562_1_40879 = all_33_1_35
% 201.80/160.80 |
% 201.80/160.80 | From (6163) and (6153) follows:
% 201.80/160.80 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.80/160.80 |
% 201.80/160.80 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 201.80/160.80 | (6166) all_562_0_40878 = 0
% 201.80/160.80 |
% 201.80/160.80 | Equations (6166) can reduce 6152 to:
% 201.80/160.80 | (62) $false
% 201.80/160.80 |
% 201.80/160.80 |-The branch is then unsatisfiable
% 201.80/160.80 |-Branch two:
% 201.80/160.80 | (6327) ~ (all_790_1_40974 = 0) & environment(all_33_4_38) = all_790_1_40974
% 201.80/160.80 |
% 201.80/160.80 | Applying alpha-rule on (6327) yields:
% 201.80/160.80 | (6328) ~ (all_790_1_40974 = 0)
% 201.80/160.80 | (6329) environment(all_33_4_38) = all_790_1_40974
% 201.80/160.80 |
% 201.80/160.80 | Instantiating formula (35) with all_33_4_38, all_790_1_40974, 0 and discharging atoms environment(all_33_4_38) = all_790_1_40974, environment(all_33_4_38) = 0, yields:
% 201.80/160.80 | (6330) all_790_1_40974 = 0
% 201.80/160.80 |
% 201.80/160.80 | Equations (6330) can reduce 6328 to:
% 201.80/160.80 | (62) $false
% 201.80/160.80 |
% 201.80/160.80 |-The branch is then unsatisfiable
% 201.80/160.80 |-Branch two:
% 201.80/160.80 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 201.80/160.80 |
% 201.80/160.80 | Applying alpha-rule on (6184) yields:
% 201.80/160.80 | (6185) ~ (all_562_1_40879 = 0)
% 201.80/160.80 | (6186) environment(all_33_4_38) = all_562_1_40879
% 201.80/160.80 |
% 201.80/160.80 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 201.80/160.80 | (6147) all_562_1_40879 = 0
% 201.80/160.80 |
% 201.80/160.80 | Equations (6147) can reduce 6185 to:
% 201.80/160.80 | (62) $false
% 201.80/160.80 |
% 201.80/160.80 |-The branch is then unsatisfiable
% 201.80/160.81 |-Branch two:
% 201.80/160.81 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 201.80/160.81 |
% 201.80/160.81 | Applying alpha-rule on (6189) yields:
% 201.80/160.81 | (6122) all_450_0_40845 = 0
% 201.80/160.81 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 201.80/160.81 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 201.80/160.81 |
% 201.80/160.81 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.81 | (6125) all_450_1_40846 = all_33_1_35
% 201.80/160.81 |
% 201.80/160.81 | From (6125) and (6124) follows:
% 201.80/160.81 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.80/160.81 |
% 201.80/160.81 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.80/160.81 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.80/160.81 |
% 201.80/160.81 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.80/160.81 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 201.80/160.81 |
% 201.80/160.81 | Instantiating (287) with all_779_0_40985 yields:
% 201.80/160.81 | (6345) (all_779_0_40985 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_40985 = 0) & environment(all_33_4_38) = all_779_0_40985) | ( ~ (all_779_0_40985 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_40985)
% 201.80/160.81 |
% 201.80/160.81 | Instantiating (6127) with all_788_0_41001, all_788_1_41002 yields:
% 201.80/160.81 | (6346) (all_788_0_41001 = 0 & greater_or_equal(all_788_1_41002, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41002) | (all_788_0_41001 = 0 & greater(all_33_1_35, all_788_1_41002) = 0 & end_time(all_33_4_38) = all_788_1_41002) | ( ~ (all_788_1_41002 = 0) & environment(all_33_4_38) = all_788_1_41002)
% 201.80/160.81 |
% 201.80/160.81 +-Applying beta-rule and splitting (6345), into two cases.
% 201.80/160.81 |-Branch one:
% 201.80/160.81 | (6347) (all_779_0_40985 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_40985 = 0) & environment(all_33_4_38) = all_779_0_40985)
% 201.80/160.81 |
% 201.80/160.81 +-Applying beta-rule and splitting (6347), into two cases.
% 201.80/160.81 |-Branch one:
% 201.80/160.81 | (6348) all_779_0_40985 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.80/160.81 |
% 201.80/160.81 | Applying alpha-rule on (6348) yields:
% 201.80/160.81 | (6349) all_779_0_40985 = 0
% 201.80/160.81 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.80/160.81 |
% 201.80/160.81 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.80/160.81 | (109) all_33_0_34 = 0
% 201.80/160.81 |
% 201.80/160.81 | Equations (109) can reduce 72 to:
% 201.80/160.81 | (62) $false
% 201.80/160.81 |
% 201.80/160.81 |-The branch is then unsatisfiable
% 201.80/160.81 |-Branch two:
% 201.80/160.81 | (6353) ~ (all_779_0_40985 = 0) & environment(all_33_4_38) = all_779_0_40985
% 201.80/160.81 |
% 201.80/160.81 | Applying alpha-rule on (6353) yields:
% 201.80/160.81 | (6354) ~ (all_779_0_40985 = 0)
% 201.80/160.81 | (6355) environment(all_33_4_38) = all_779_0_40985
% 201.80/160.81 |
% 201.80/160.81 | Instantiating formula (35) with all_33_4_38, all_779_0_40985, 0 and discharging atoms environment(all_33_4_38) = all_779_0_40985, environment(all_33_4_38) = 0, yields:
% 201.80/160.81 | (6349) all_779_0_40985 = 0
% 201.80/160.81 |
% 201.80/160.81 | Equations (6349) can reduce 6354 to:
% 201.80/160.81 | (62) $false
% 201.80/160.81 |
% 201.80/160.81 |-The branch is then unsatisfiable
% 201.80/160.81 |-Branch two:
% 201.80/160.81 | (6358) ~ (all_779_0_40985 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_40985
% 201.80/160.81 |
% 201.80/160.81 | Applying alpha-rule on (6358) yields:
% 201.80/160.81 | (6354) ~ (all_779_0_40985 = 0)
% 201.80/160.81 | (6360) in_environment(all_33_4_38, all_33_1_35) = all_779_0_40985
% 201.80/160.81 |
% 201.80/160.81 +-Applying beta-rule and splitting (6084), into two cases.
% 201.80/160.81 |-Branch one:
% 201.80/160.81 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 201.80/160.81 |
% 201.80/160.81 +-Applying beta-rule and splitting (6145), into two cases.
% 201.80/160.81 |-Branch one:
% 201.80/160.81 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.80/160.81 |
% 201.80/160.81 | Applying alpha-rule on (6146) yields:
% 201.80/160.81 | (6147) all_562_1_40879 = 0
% 201.80/160.81 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.80/160.81 |
% 201.80/160.81 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_40985 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_40985, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.80/160.81 | (6349) all_779_0_40985 = 0
% 201.80/160.81 |
% 201.80/160.81 | Equations (6349) can reduce 6354 to:
% 201.80/160.81 | (62) $false
% 201.80/160.81 |
% 201.80/160.81 |-The branch is then unsatisfiable
% 201.80/160.81 |-Branch two:
% 201.80/160.81 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 201.80/160.81 |
% 201.80/160.81 | Applying alpha-rule on (6151) yields:
% 201.80/160.81 | (6152) ~ (all_562_0_40878 = 0)
% 201.80/160.81 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 201.80/160.81 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 201.80/160.81 |
% 201.80/160.81 +-Applying beta-rule and splitting (6346), into two cases.
% 201.80/160.81 |-Branch one:
% 201.80/160.81 | (6371) (all_788_0_41001 = 0 & greater_or_equal(all_788_1_41002, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41002) | (all_788_0_41001 = 0 & greater(all_33_1_35, all_788_1_41002) = 0 & end_time(all_33_4_38) = all_788_1_41002)
% 201.80/160.81 |
% 201.80/160.82 +-Applying beta-rule and splitting (6371), into two cases.
% 201.80/160.82 |-Branch one:
% 201.80/160.82 | (6372) all_788_0_41001 = 0 & greater_or_equal(all_788_1_41002, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41002
% 201.80/160.82 |
% 201.80/160.82 | Applying alpha-rule on (6372) yields:
% 201.80/160.82 | (6373) all_788_0_41001 = 0
% 201.80/160.82 | (6374) greater_or_equal(all_788_1_41002, all_33_1_35) = 0
% 201.80/160.82 | (6375) end_time(all_33_4_38) = all_788_1_41002
% 201.80/160.82 |
% 201.80/160.82 | Instantiating formula (43) with all_33_4_38, all_788_1_41002, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41002, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.82 | (6376) all_788_1_41002 = all_33_1_35
% 201.80/160.82 |
% 201.80/160.82 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41002 and discharging atoms end_time(all_33_4_38) = all_788_1_41002, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.80/160.82 | (6377) all_788_1_41002 = all_562_1_40879
% 201.80/160.82 |
% 201.80/160.82 | Combining equations (6377,6376) yields a new equation:
% 201.80/160.82 | (6162) all_562_1_40879 = all_33_1_35
% 201.80/160.82 |
% 201.80/160.82 | Simplifying 6162 yields:
% 201.80/160.82 | (6163) all_562_1_40879 = all_33_1_35
% 201.80/160.82 |
% 201.80/160.82 | From (6376) and (6374) follows:
% 201.80/160.82 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 201.80/160.82 |
% 201.80/160.82 | From (6163) and (6153) follows:
% 201.80/160.82 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.80/160.82 |
% 201.80/160.82 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 201.80/160.82 | (6166) all_562_0_40878 = 0
% 201.80/160.82 |
% 201.80/160.82 | Equations (6166) can reduce 6152 to:
% 201.80/160.82 | (62) $false
% 201.80/160.82 |
% 201.80/160.82 |-The branch is then unsatisfiable
% 201.80/160.82 |-Branch two:
% 201.80/160.82 | (6384) all_788_0_41001 = 0 & greater(all_33_1_35, all_788_1_41002) = 0 & end_time(all_33_4_38) = all_788_1_41002
% 201.80/160.82 |
% 201.80/160.82 | Applying alpha-rule on (6384) yields:
% 201.80/160.82 | (6373) all_788_0_41001 = 0
% 201.80/160.82 | (6386) greater(all_33_1_35, all_788_1_41002) = 0
% 201.80/160.82 | (6375) end_time(all_33_4_38) = all_788_1_41002
% 201.80/160.82 |
% 201.80/160.82 | Instantiating formula (43) with all_33_4_38, all_788_1_41002, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41002, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.82 | (6376) all_788_1_41002 = all_33_1_35
% 201.80/160.82 |
% 201.80/160.82 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41002 and discharging atoms end_time(all_33_4_38) = all_788_1_41002, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.80/160.82 | (6377) all_788_1_41002 = all_562_1_40879
% 201.80/160.82 |
% 201.80/160.82 | Combining equations (6377,6376) yields a new equation:
% 201.80/160.82 | (6162) all_562_1_40879 = all_33_1_35
% 201.80/160.82 |
% 201.80/160.82 | Simplifying 6162 yields:
% 201.80/160.82 | (6163) all_562_1_40879 = all_33_1_35
% 201.80/160.82 |
% 201.80/160.82 | From (6163) and (6153) follows:
% 201.80/160.82 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.80/160.82 |
% 201.80/160.82 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 201.80/160.82 | (6166) all_562_0_40878 = 0
% 201.80/160.82 |
% 201.80/160.82 | Equations (6166) can reduce 6152 to:
% 201.80/160.82 | (62) $false
% 201.80/160.82 |
% 201.80/160.82 |-The branch is then unsatisfiable
% 201.80/160.82 |-Branch two:
% 201.80/160.82 | (6395) ~ (all_788_1_41002 = 0) & environment(all_33_4_38) = all_788_1_41002
% 201.80/160.82 |
% 201.80/160.82 | Applying alpha-rule on (6395) yields:
% 201.80/160.82 | (6396) ~ (all_788_1_41002 = 0)
% 201.80/160.82 | (6397) environment(all_33_4_38) = all_788_1_41002
% 201.80/160.82 |
% 201.80/160.82 | Instantiating formula (35) with all_33_4_38, all_788_1_41002, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41002, environment(all_33_4_38) = 0, yields:
% 201.80/160.82 | (6398) all_788_1_41002 = 0
% 201.80/160.82 |
% 201.80/160.82 | Equations (6398) can reduce 6396 to:
% 201.80/160.82 | (62) $false
% 201.80/160.82 |
% 201.80/160.82 |-The branch is then unsatisfiable
% 201.80/160.82 |-Branch two:
% 201.80/160.82 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 201.80/160.82 |
% 201.80/160.82 | Applying alpha-rule on (6184) yields:
% 201.80/160.82 | (6185) ~ (all_562_1_40879 = 0)
% 201.80/160.82 | (6186) environment(all_33_4_38) = all_562_1_40879
% 201.80/160.82 |
% 201.80/160.82 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 201.80/160.83 | (6147) all_562_1_40879 = 0
% 201.80/160.83 |
% 201.80/160.83 | Equations (6147) can reduce 6185 to:
% 201.80/160.83 | (62) $false
% 201.80/160.83 |
% 201.80/160.83 |-The branch is then unsatisfiable
% 201.80/160.83 |-Branch two:
% 201.80/160.83 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 201.80/160.83 |
% 201.80/160.83 | Applying alpha-rule on (6257) yields:
% 201.80/160.83 | (6258) ~ (all_450_1_40846 = 0)
% 201.80/160.83 | (6259) environment(all_33_4_38) = all_450_1_40846
% 201.80/160.83 |
% 201.80/160.83 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 201.80/160.83 | (6260) all_450_1_40846 = 0
% 201.80/160.83 |
% 201.80/160.83 | Equations (6260) can reduce 6258 to:
% 201.80/160.83 | (62) $false
% 201.80/160.83 |
% 201.80/160.83 |-The branch is then unsatisfiable
% 201.80/160.83 |-Branch two:
% 201.80/160.83 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 201.80/160.83 |
% 201.80/160.83 | Applying alpha-rule on (6410) yields:
% 201.80/160.83 | (6411) ~ (all_449_1_40844 = 0)
% 201.80/160.83 | (6412) environment(all_33_4_38) = all_449_1_40844
% 201.80/160.83 |
% 201.80/160.83 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 201.80/160.83 | (6413) all_449_1_40844 = 0
% 201.80/160.83 |
% 201.80/160.83 | Equations (6413) can reduce 6411 to:
% 201.80/160.83 | (62) $false
% 201.80/160.83 |
% 201.80/160.83 |-The branch is then unsatisfiable
% 201.80/160.83 |-Branch two:
% 201.80/160.83 | (6415) all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 201.80/160.83 |
% 201.80/160.83 | Applying alpha-rule on (6415) yields:
% 201.80/160.83 | (6108) all_448_0_40841 = 0
% 201.80/160.83 | (6417) greater(all_114_2_98, all_448_1_40842) = 0
% 201.80/160.83 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 201.80/160.83 |
% 201.80/160.83 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.83 | (6111) all_448_1_40842 = all_33_1_35
% 201.80/160.83 |
% 201.80/160.83 | From (6111) and (6110) follows:
% 201.80/160.83 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.80/160.83 |
% 201.80/160.83 +-Applying beta-rule and splitting (6072), into two cases.
% 201.80/160.83 |-Branch one:
% 201.80/160.83 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 201.80/160.83 |
% 201.80/160.83 +-Applying beta-rule and splitting (6113), into two cases.
% 201.80/160.83 |-Branch one:
% 201.80/160.83 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 201.80/160.83 |
% 201.80/160.83 | Applying alpha-rule on (6114) yields:
% 201.80/160.83 | (6115) all_449_0_40843 = 0
% 201.80/160.83 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 201.80/160.83 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 201.80/160.83 |
% 201.80/160.83 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.83 | (6118) all_449_1_40844 = all_33_1_35
% 201.80/160.83 |
% 201.80/160.83 | From (6118) and (6117) follows:
% 201.80/160.83 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.80/160.83 |
% 201.80/160.83 +-Applying beta-rule and splitting (6073), into two cases.
% 201.80/160.83 |-Branch one:
% 201.80/160.83 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 201.80/160.83 |
% 201.80/160.83 +-Applying beta-rule and splitting (6120), into two cases.
% 201.80/160.83 |-Branch one:
% 201.80/160.83 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 201.80/160.83 |
% 201.80/160.83 | Applying alpha-rule on (6121) yields:
% 201.80/160.83 | (6122) all_450_0_40845 = 0
% 201.80/160.83 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 201.80/160.83 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 201.80/160.83 |
% 201.80/160.83 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.83 | (6125) all_450_1_40846 = all_33_1_35
% 201.80/160.83 |
% 201.80/160.83 | From (6125) and (6124) follows:
% 201.80/160.84 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.80/160.84 |
% 201.80/160.84 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.80/160.84 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.80/160.84 |
% 201.80/160.84 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.80/160.84 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 201.80/160.84 |
% 201.80/160.84 | Instantiating (287) with all_780_0_41015 yields:
% 201.80/160.84 | (6437) (all_780_0_41015 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_41015 = 0) & environment(all_33_4_38) = all_780_0_41015) | ( ~ (all_780_0_41015 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_41015)
% 201.80/160.84 |
% 201.80/160.84 | Instantiating (6127) with all_790_0_41033, all_790_1_41034 yields:
% 201.80/160.84 | (6438) (all_790_0_41033 = 0 & greater_or_equal(all_790_1_41034, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41034) | (all_790_0_41033 = 0 & greater(all_33_1_35, all_790_1_41034) = 0 & end_time(all_33_4_38) = all_790_1_41034) | ( ~ (all_790_1_41034 = 0) & environment(all_33_4_38) = all_790_1_41034)
% 201.80/160.84 |
% 201.80/160.84 +-Applying beta-rule and splitting (6437), into two cases.
% 201.80/160.84 |-Branch one:
% 201.80/160.84 | (6439) (all_780_0_41015 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_41015 = 0) & environment(all_33_4_38) = all_780_0_41015)
% 201.80/160.84 |
% 201.80/160.84 +-Applying beta-rule and splitting (6439), into two cases.
% 201.80/160.84 |-Branch one:
% 201.80/160.84 | (6440) all_780_0_41015 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.80/160.84 |
% 201.80/160.84 | Applying alpha-rule on (6440) yields:
% 201.80/160.84 | (6441) all_780_0_41015 = 0
% 201.80/160.84 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.80/160.84 |
% 201.80/160.84 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.80/160.84 | (109) all_33_0_34 = 0
% 201.80/160.84 |
% 201.80/160.84 | Equations (109) can reduce 72 to:
% 201.80/160.84 | (62) $false
% 201.80/160.84 |
% 201.80/160.84 |-The branch is then unsatisfiable
% 201.80/160.84 |-Branch two:
% 201.80/160.84 | (6445) ~ (all_780_0_41015 = 0) & environment(all_33_4_38) = all_780_0_41015
% 201.80/160.84 |
% 201.80/160.84 | Applying alpha-rule on (6445) yields:
% 201.80/160.84 | (6446) ~ (all_780_0_41015 = 0)
% 201.80/160.84 | (6447) environment(all_33_4_38) = all_780_0_41015
% 201.80/160.84 |
% 201.80/160.84 | Instantiating formula (35) with all_33_4_38, all_780_0_41015, 0 and discharging atoms environment(all_33_4_38) = all_780_0_41015, environment(all_33_4_38) = 0, yields:
% 201.80/160.84 | (6441) all_780_0_41015 = 0
% 201.80/160.84 |
% 201.80/160.84 | Equations (6441) can reduce 6446 to:
% 201.80/160.84 | (62) $false
% 201.80/160.84 |
% 201.80/160.84 |-The branch is then unsatisfiable
% 201.80/160.84 |-Branch two:
% 201.80/160.84 | (6450) ~ (all_780_0_41015 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_41015
% 201.80/160.84 |
% 201.80/160.84 | Applying alpha-rule on (6450) yields:
% 201.80/160.84 | (6446) ~ (all_780_0_41015 = 0)
% 201.80/160.84 | (6452) in_environment(all_33_4_38, all_33_1_35) = all_780_0_41015
% 201.80/160.84 |
% 201.80/160.84 +-Applying beta-rule and splitting (6084), into two cases.
% 201.80/160.84 |-Branch one:
% 201.80/160.84 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 201.80/160.84 |
% 201.80/160.84 +-Applying beta-rule and splitting (6145), into two cases.
% 201.80/160.84 |-Branch one:
% 201.80/160.84 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.80/160.84 |
% 201.80/160.84 | Applying alpha-rule on (6146) yields:
% 201.80/160.84 | (6147) all_562_1_40879 = 0
% 201.80/160.84 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.80/160.84 |
% 201.80/160.84 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_780_0_41015 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_780_0_41015, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.80/160.84 | (6441) all_780_0_41015 = 0
% 201.80/160.84 |
% 201.80/160.84 | Equations (6441) can reduce 6446 to:
% 201.80/160.84 | (62) $false
% 201.80/160.84 |
% 201.80/160.84 |-The branch is then unsatisfiable
% 201.80/160.84 |-Branch two:
% 201.80/160.84 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 201.80/160.84 |
% 201.80/160.84 | Applying alpha-rule on (6151) yields:
% 201.80/160.84 | (6152) ~ (all_562_0_40878 = 0)
% 201.80/160.84 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 201.80/160.84 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 201.80/160.84 |
% 201.80/160.84 +-Applying beta-rule and splitting (6438), into two cases.
% 201.80/160.84 |-Branch one:
% 201.80/160.84 | (6463) (all_790_0_41033 = 0 & greater_or_equal(all_790_1_41034, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41034) | (all_790_0_41033 = 0 & greater(all_33_1_35, all_790_1_41034) = 0 & end_time(all_33_4_38) = all_790_1_41034)
% 201.80/160.84 |
% 201.80/160.84 +-Applying beta-rule and splitting (6463), into two cases.
% 201.80/160.84 |-Branch one:
% 201.80/160.84 | (6464) all_790_0_41033 = 0 & greater_or_equal(all_790_1_41034, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41034
% 201.80/160.84 |
% 201.80/160.84 | Applying alpha-rule on (6464) yields:
% 201.80/160.84 | (6465) all_790_0_41033 = 0
% 201.80/160.84 | (6466) greater_or_equal(all_790_1_41034, all_33_1_35) = 0
% 201.80/160.84 | (6467) end_time(all_33_4_38) = all_790_1_41034
% 201.80/160.84 |
% 201.80/160.84 | Instantiating formula (43) with all_33_4_38, all_790_1_41034, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_41034, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.84 | (6468) all_790_1_41034 = all_33_1_35
% 201.80/160.84 |
% 201.80/160.84 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_41034 and discharging atoms end_time(all_33_4_38) = all_790_1_41034, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.80/160.84 | (6469) all_790_1_41034 = all_562_1_40879
% 201.80/160.85 |
% 201.80/160.85 | Combining equations (6469,6468) yields a new equation:
% 201.80/160.85 | (6162) all_562_1_40879 = all_33_1_35
% 201.80/160.85 |
% 201.80/160.85 | Simplifying 6162 yields:
% 201.80/160.85 | (6163) all_562_1_40879 = all_33_1_35
% 201.80/160.85 |
% 201.80/160.85 | From (6468) and (6466) follows:
% 201.80/160.85 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 201.80/160.85 |
% 201.80/160.85 | From (6163) and (6153) follows:
% 201.80/160.85 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.80/160.85 |
% 201.80/160.85 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 201.80/160.85 | (6166) all_562_0_40878 = 0
% 201.80/160.85 |
% 201.80/160.85 | Equations (6166) can reduce 6152 to:
% 201.80/160.85 | (62) $false
% 201.80/160.85 |
% 201.80/160.85 |-The branch is then unsatisfiable
% 201.80/160.85 |-Branch two:
% 201.80/160.85 | (6476) all_790_0_41033 = 0 & greater(all_33_1_35, all_790_1_41034) = 0 & end_time(all_33_4_38) = all_790_1_41034
% 201.80/160.85 |
% 201.80/160.85 | Applying alpha-rule on (6476) yields:
% 201.80/160.85 | (6465) all_790_0_41033 = 0
% 201.80/160.85 | (6478) greater(all_33_1_35, all_790_1_41034) = 0
% 201.80/160.85 | (6467) end_time(all_33_4_38) = all_790_1_41034
% 201.80/160.85 |
% 201.80/160.85 | Instantiating formula (43) with all_33_4_38, all_790_1_41034, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_41034, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.85 | (6468) all_790_1_41034 = all_33_1_35
% 201.80/160.85 |
% 201.80/160.85 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_41034 and discharging atoms end_time(all_33_4_38) = all_790_1_41034, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.80/160.85 | (6469) all_790_1_41034 = all_562_1_40879
% 201.80/160.85 |
% 201.80/160.85 | Combining equations (6469,6468) yields a new equation:
% 201.80/160.85 | (6162) all_562_1_40879 = all_33_1_35
% 201.80/160.85 |
% 201.80/160.85 | Simplifying 6162 yields:
% 201.80/160.85 | (6163) all_562_1_40879 = all_33_1_35
% 201.80/160.85 |
% 201.80/160.85 | From (6163) and (6153) follows:
% 201.80/160.85 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.80/160.85 |
% 201.80/160.85 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 201.80/160.85 | (6166) all_562_0_40878 = 0
% 201.80/160.85 |
% 201.80/160.85 | Equations (6166) can reduce 6152 to:
% 201.80/160.85 | (62) $false
% 201.80/160.85 |
% 201.80/160.85 |-The branch is then unsatisfiable
% 201.80/160.85 |-Branch two:
% 201.80/160.85 | (6487) ~ (all_790_1_41034 = 0) & environment(all_33_4_38) = all_790_1_41034
% 201.80/160.85 |
% 201.80/160.85 | Applying alpha-rule on (6487) yields:
% 201.80/160.85 | (6488) ~ (all_790_1_41034 = 0)
% 201.80/160.85 | (6489) environment(all_33_4_38) = all_790_1_41034
% 201.80/160.85 |
% 201.80/160.85 | Instantiating formula (35) with all_33_4_38, all_790_1_41034, 0 and discharging atoms environment(all_33_4_38) = all_790_1_41034, environment(all_33_4_38) = 0, yields:
% 201.80/160.85 | (6490) all_790_1_41034 = 0
% 201.80/160.85 |
% 201.80/160.85 | Equations (6490) can reduce 6488 to:
% 201.80/160.85 | (62) $false
% 201.80/160.85 |
% 201.80/160.85 |-The branch is then unsatisfiable
% 201.80/160.85 |-Branch two:
% 201.80/160.85 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 201.80/160.85 |
% 201.80/160.85 | Applying alpha-rule on (6184) yields:
% 201.80/160.85 | (6185) ~ (all_562_1_40879 = 0)
% 201.80/160.85 | (6186) environment(all_33_4_38) = all_562_1_40879
% 201.80/160.85 |
% 201.80/160.85 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 201.80/160.85 | (6147) all_562_1_40879 = 0
% 201.80/160.85 |
% 201.80/160.85 | Equations (6147) can reduce 6185 to:
% 201.80/160.85 | (62) $false
% 201.80/160.85 |
% 201.80/160.85 |-The branch is then unsatisfiable
% 201.80/160.85 |-Branch two:
% 201.80/160.85 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 201.80/160.85 |
% 201.80/160.85 | Applying alpha-rule on (6189) yields:
% 201.80/160.85 | (6122) all_450_0_40845 = 0
% 201.80/160.85 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 201.80/160.86 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 201.80/160.86 |
% 201.80/160.86 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.86 | (6125) all_450_1_40846 = all_33_1_35
% 201.80/160.86 |
% 201.80/160.86 | From (6125) and (6124) follows:
% 201.80/160.86 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.80/160.86 |
% 201.80/160.86 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.80/160.86 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.80/160.86 |
% 201.80/160.86 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.80/160.86 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 201.80/160.86 |
% 201.80/160.86 | Instantiating (287) with all_779_0_41045 yields:
% 201.80/160.86 | (6505) (all_779_0_41045 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41045 = 0) & environment(all_33_4_38) = all_779_0_41045) | ( ~ (all_779_0_41045 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41045)
% 201.80/160.86 |
% 201.80/160.86 | Instantiating (6127) with all_788_0_41061, all_788_1_41062 yields:
% 201.80/160.86 | (6506) (all_788_0_41061 = 0 & greater_or_equal(all_788_1_41062, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41062) | (all_788_0_41061 = 0 & greater(all_33_1_35, all_788_1_41062) = 0 & end_time(all_33_4_38) = all_788_1_41062) | ( ~ (all_788_1_41062 = 0) & environment(all_33_4_38) = all_788_1_41062)
% 201.80/160.86 |
% 201.80/160.86 +-Applying beta-rule and splitting (6505), into two cases.
% 201.80/160.86 |-Branch one:
% 201.80/160.86 | (6507) (all_779_0_41045 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41045 = 0) & environment(all_33_4_38) = all_779_0_41045)
% 201.80/160.86 |
% 201.80/160.86 +-Applying beta-rule and splitting (6507), into two cases.
% 201.80/160.86 |-Branch one:
% 201.80/160.86 | (6508) all_779_0_41045 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.80/160.86 |
% 201.80/160.86 | Applying alpha-rule on (6508) yields:
% 201.80/160.86 | (6509) all_779_0_41045 = 0
% 201.80/160.86 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.80/160.86 |
% 201.80/160.86 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.80/160.86 | (109) all_33_0_34 = 0
% 201.80/160.86 |
% 201.80/160.86 | Equations (109) can reduce 72 to:
% 201.80/160.86 | (62) $false
% 201.80/160.86 |
% 201.80/160.86 |-The branch is then unsatisfiable
% 201.80/160.86 |-Branch two:
% 201.80/160.86 | (6513) ~ (all_779_0_41045 = 0) & environment(all_33_4_38) = all_779_0_41045
% 201.80/160.86 |
% 201.80/160.86 | Applying alpha-rule on (6513) yields:
% 201.80/160.86 | (6514) ~ (all_779_0_41045 = 0)
% 201.80/160.86 | (6515) environment(all_33_4_38) = all_779_0_41045
% 201.80/160.86 |
% 201.80/160.86 | Instantiating formula (35) with all_33_4_38, all_779_0_41045, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41045, environment(all_33_4_38) = 0, yields:
% 201.80/160.86 | (6509) all_779_0_41045 = 0
% 201.80/160.86 |
% 201.80/160.86 | Equations (6509) can reduce 6514 to:
% 201.80/160.86 | (62) $false
% 201.80/160.86 |
% 201.80/160.86 |-The branch is then unsatisfiable
% 201.80/160.86 |-Branch two:
% 201.80/160.86 | (6518) ~ (all_779_0_41045 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41045
% 201.80/160.86 |
% 201.80/160.86 | Applying alpha-rule on (6518) yields:
% 201.80/160.86 | (6514) ~ (all_779_0_41045 = 0)
% 201.80/160.86 | (6520) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41045
% 201.80/160.86 |
% 201.80/160.86 +-Applying beta-rule and splitting (6084), into two cases.
% 201.80/160.86 |-Branch one:
% 201.80/160.86 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 201.80/160.86 |
% 201.80/160.86 +-Applying beta-rule and splitting (6145), into two cases.
% 201.80/160.86 |-Branch one:
% 201.80/160.86 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.80/160.86 |
% 201.80/160.86 | Applying alpha-rule on (6146) yields:
% 201.80/160.86 | (6147) all_562_1_40879 = 0
% 201.80/160.86 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 201.80/160.86 |
% 201.80/160.86 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41045 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41045, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 201.80/160.86 | (6509) all_779_0_41045 = 0
% 201.80/160.86 |
% 201.80/160.86 | Equations (6509) can reduce 6514 to:
% 201.80/160.86 | (62) $false
% 201.80/160.86 |
% 201.80/160.86 |-The branch is then unsatisfiable
% 201.80/160.86 |-Branch two:
% 201.80/160.86 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 201.80/160.86 |
% 201.80/160.86 | Applying alpha-rule on (6151) yields:
% 201.80/160.86 | (6152) ~ (all_562_0_40878 = 0)
% 201.80/160.86 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 201.80/160.86 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 201.80/160.86 |
% 201.80/160.86 +-Applying beta-rule and splitting (6506), into two cases.
% 201.80/160.86 |-Branch one:
% 201.80/160.86 | (6531) (all_788_0_41061 = 0 & greater_or_equal(all_788_1_41062, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41062) | (all_788_0_41061 = 0 & greater(all_33_1_35, all_788_1_41062) = 0 & end_time(all_33_4_38) = all_788_1_41062)
% 201.80/160.86 |
% 201.80/160.86 +-Applying beta-rule and splitting (6531), into two cases.
% 201.80/160.86 |-Branch one:
% 201.80/160.86 | (6532) all_788_0_41061 = 0 & greater_or_equal(all_788_1_41062, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41062
% 201.80/160.86 |
% 201.80/160.86 | Applying alpha-rule on (6532) yields:
% 201.80/160.86 | (6533) all_788_0_41061 = 0
% 201.80/160.86 | (6534) greater_or_equal(all_788_1_41062, all_33_1_35) = 0
% 201.80/160.87 | (6535) end_time(all_33_4_38) = all_788_1_41062
% 201.80/160.87 |
% 201.80/160.87 | Instantiating formula (43) with all_33_4_38, all_788_1_41062, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41062, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.87 | (6536) all_788_1_41062 = all_33_1_35
% 201.80/160.87 |
% 201.80/160.87 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41062 and discharging atoms end_time(all_33_4_38) = all_788_1_41062, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.80/160.87 | (6537) all_788_1_41062 = all_562_1_40879
% 201.80/160.87 |
% 201.80/160.87 | Combining equations (6537,6536) yields a new equation:
% 201.80/160.87 | (6162) all_562_1_40879 = all_33_1_35
% 201.80/160.87 |
% 201.80/160.87 | Simplifying 6162 yields:
% 201.80/160.87 | (6163) all_562_1_40879 = all_33_1_35
% 201.80/160.87 |
% 201.80/160.87 | From (6536) and (6534) follows:
% 201.80/160.87 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 201.80/160.87 |
% 201.80/160.87 | From (6163) and (6153) follows:
% 201.80/160.87 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.80/160.87 |
% 201.80/160.87 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 201.80/160.87 | (6166) all_562_0_40878 = 0
% 201.80/160.87 |
% 201.80/160.87 | Equations (6166) can reduce 6152 to:
% 201.80/160.87 | (62) $false
% 201.80/160.87 |
% 201.80/160.87 |-The branch is then unsatisfiable
% 201.80/160.87 |-Branch two:
% 201.80/160.87 | (6544) all_788_0_41061 = 0 & greater(all_33_1_35, all_788_1_41062) = 0 & end_time(all_33_4_38) = all_788_1_41062
% 201.80/160.87 |
% 201.80/160.87 | Applying alpha-rule on (6544) yields:
% 201.80/160.87 | (6533) all_788_0_41061 = 0
% 201.80/160.87 | (6546) greater(all_33_1_35, all_788_1_41062) = 0
% 201.80/160.87 | (6535) end_time(all_33_4_38) = all_788_1_41062
% 201.80/160.87 |
% 201.80/160.87 | Instantiating formula (43) with all_33_4_38, all_788_1_41062, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41062, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.87 | (6536) all_788_1_41062 = all_33_1_35
% 201.80/160.87 |
% 201.80/160.87 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41062 and discharging atoms end_time(all_33_4_38) = all_788_1_41062, end_time(all_33_4_38) = all_562_1_40879, yields:
% 201.80/160.87 | (6537) all_788_1_41062 = all_562_1_40879
% 201.80/160.87 |
% 201.80/160.87 | Combining equations (6537,6536) yields a new equation:
% 201.80/160.87 | (6162) all_562_1_40879 = all_33_1_35
% 201.80/160.87 |
% 201.80/160.87 | Simplifying 6162 yields:
% 201.80/160.87 | (6163) all_562_1_40879 = all_33_1_35
% 201.80/160.87 |
% 201.80/160.87 | From (6163) and (6153) follows:
% 201.80/160.87 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 201.80/160.87 |
% 201.80/160.87 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 201.80/160.87 | (6166) all_562_0_40878 = 0
% 201.80/160.87 |
% 201.80/160.87 | Equations (6166) can reduce 6152 to:
% 201.80/160.87 | (62) $false
% 201.80/160.87 |
% 201.80/160.87 |-The branch is then unsatisfiable
% 201.80/160.87 |-Branch two:
% 201.80/160.87 | (6555) ~ (all_788_1_41062 = 0) & environment(all_33_4_38) = all_788_1_41062
% 201.80/160.87 |
% 201.80/160.87 | Applying alpha-rule on (6555) yields:
% 201.80/160.87 | (6556) ~ (all_788_1_41062 = 0)
% 201.80/160.87 | (6557) environment(all_33_4_38) = all_788_1_41062
% 201.80/160.87 |
% 201.80/160.87 | Instantiating formula (35) with all_33_4_38, all_788_1_41062, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41062, environment(all_33_4_38) = 0, yields:
% 201.80/160.87 | (6558) all_788_1_41062 = 0
% 201.80/160.87 |
% 201.80/160.87 | Equations (6558) can reduce 6556 to:
% 201.80/160.87 | (62) $false
% 201.80/160.87 |
% 201.80/160.87 |-The branch is then unsatisfiable
% 201.80/160.87 |-Branch two:
% 201.80/160.87 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 201.80/160.87 |
% 201.80/160.87 | Applying alpha-rule on (6184) yields:
% 201.80/160.87 | (6185) ~ (all_562_1_40879 = 0)
% 201.80/160.87 | (6186) environment(all_33_4_38) = all_562_1_40879
% 201.80/160.87 |
% 201.80/160.87 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 201.80/160.87 | (6147) all_562_1_40879 = 0
% 201.80/160.87 |
% 201.80/160.87 | Equations (6147) can reduce 6185 to:
% 201.80/160.87 | (62) $false
% 201.80/160.87 |
% 201.80/160.87 |-The branch is then unsatisfiable
% 201.80/160.88 |-Branch two:
% 201.80/160.88 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 201.80/160.88 |
% 201.80/160.88 | Applying alpha-rule on (6257) yields:
% 201.80/160.88 | (6258) ~ (all_450_1_40846 = 0)
% 201.80/160.88 | (6259) environment(all_33_4_38) = all_450_1_40846
% 201.80/160.88 |
% 201.80/160.88 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 201.80/160.88 | (6260) all_450_1_40846 = 0
% 201.80/160.88 |
% 201.80/160.88 | Equations (6260) can reduce 6258 to:
% 201.80/160.88 | (62) $false
% 201.80/160.88 |
% 201.80/160.88 |-The branch is then unsatisfiable
% 201.80/160.88 |-Branch two:
% 201.80/160.88 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 201.80/160.88 |
% 201.80/160.88 | Applying alpha-rule on (6262) yields:
% 201.80/160.88 | (6115) all_449_0_40843 = 0
% 201.80/160.88 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 201.80/160.88 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 201.80/160.88 |
% 201.80/160.88 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.88 | (6118) all_449_1_40844 = all_33_1_35
% 201.80/160.88 |
% 201.80/160.88 | From (6118) and (6117) follows:
% 201.80/160.88 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.80/160.88 |
% 201.80/160.88 +-Applying beta-rule and splitting (6073), into two cases.
% 201.80/160.88 |-Branch one:
% 201.80/160.88 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 201.80/160.88 |
% 201.80/160.88 +-Applying beta-rule and splitting (6120), into two cases.
% 201.80/160.88 |-Branch one:
% 201.80/160.88 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 201.80/160.88 |
% 201.80/160.88 | Applying alpha-rule on (6121) yields:
% 201.80/160.88 | (6122) all_450_0_40845 = 0
% 201.80/160.88 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 201.80/160.88 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 201.80/160.88 |
% 201.80/160.88 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 201.80/160.88 | (6125) all_450_1_40846 = all_33_1_35
% 201.80/160.88 |
% 201.80/160.88 | From (6125) and (6124) follows:
% 201.80/160.88 | (67) end_time(all_33_4_38) = all_33_1_35
% 201.80/160.88 |
% 201.80/160.88 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.80/160.88 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 201.80/160.88 |
% 201.80/160.88 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 201.80/160.88 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 201.80/160.88 |
% 201.80/160.88 | Instantiating (287) with all_779_0_41075 yields:
% 201.80/160.88 | (6585) (all_779_0_41075 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41075 = 0) & environment(all_33_4_38) = all_779_0_41075) | ( ~ (all_779_0_41075 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41075)
% 201.80/160.88 |
% 201.80/160.88 | Instantiating (6127) with all_788_0_41091, all_788_1_41092 yields:
% 201.80/160.88 | (6586) (all_788_0_41091 = 0 & greater_or_equal(all_788_1_41092, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41092) | (all_788_0_41091 = 0 & greater(all_33_1_35, all_788_1_41092) = 0 & end_time(all_33_4_38) = all_788_1_41092) | ( ~ (all_788_1_41092 = 0) & environment(all_33_4_38) = all_788_1_41092)
% 201.80/160.88 |
% 201.80/160.88 +-Applying beta-rule and splitting (6585), into two cases.
% 201.80/160.88 |-Branch one:
% 201.80/160.88 | (6587) (all_779_0_41075 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41075 = 0) & environment(all_33_4_38) = all_779_0_41075)
% 201.80/160.88 |
% 201.80/160.88 +-Applying beta-rule and splitting (6587), into two cases.
% 201.80/160.88 |-Branch one:
% 201.80/160.88 | (6588) all_779_0_41075 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.80/160.88 |
% 201.80/160.88 | Applying alpha-rule on (6588) yields:
% 201.80/160.88 | (6589) all_779_0_41075 = 0
% 201.80/160.88 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 201.80/160.88 |
% 201.80/160.88 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 201.80/160.88 | (109) all_33_0_34 = 0
% 201.80/160.88 |
% 201.80/160.88 | Equations (109) can reduce 72 to:
% 201.80/160.88 | (62) $false
% 201.80/160.88 |
% 201.80/160.88 |-The branch is then unsatisfiable
% 201.80/160.88 |-Branch two:
% 201.80/160.88 | (6593) ~ (all_779_0_41075 = 0) & environment(all_33_4_38) = all_779_0_41075
% 201.80/160.88 |
% 201.80/160.88 | Applying alpha-rule on (6593) yields:
% 201.80/160.88 | (6594) ~ (all_779_0_41075 = 0)
% 201.80/160.88 | (6595) environment(all_33_4_38) = all_779_0_41075
% 201.80/160.88 |
% 201.80/160.88 | Instantiating formula (35) with all_33_4_38, all_779_0_41075, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41075, environment(all_33_4_38) = 0, yields:
% 201.80/160.88 | (6589) all_779_0_41075 = 0
% 201.80/160.88 |
% 201.80/160.88 | Equations (6589) can reduce 6594 to:
% 201.80/160.88 | (62) $false
% 201.80/160.88 |
% 201.80/160.88 |-The branch is then unsatisfiable
% 201.80/160.88 |-Branch two:
% 201.80/160.88 | (6598) ~ (all_779_0_41075 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41075
% 201.80/160.89 |
% 201.80/160.89 | Applying alpha-rule on (6598) yields:
% 201.80/160.89 | (6594) ~ (all_779_0_41075 = 0)
% 201.80/160.89 | (6600) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41075
% 201.80/160.89 |
% 201.80/160.89 +-Applying beta-rule and splitting (6084), into two cases.
% 201.80/160.89 |-Branch one:
% 201.80/160.89 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 201.80/160.89 |
% 201.80/160.89 +-Applying beta-rule and splitting (6145), into two cases.
% 201.80/160.89 |-Branch one:
% 201.80/160.89 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 201.80/160.89 |
% 201.80/160.89 | Applying alpha-rule on (6146) yields:
% 202.17/160.89 | (6147) all_562_1_40879 = 0
% 202.17/160.89 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.17/160.89 |
% 202.17/160.89 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41075 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41075, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.17/160.89 | (6589) all_779_0_41075 = 0
% 202.17/160.89 |
% 202.17/160.89 | Equations (6589) can reduce 6594 to:
% 202.17/160.89 | (62) $false
% 202.17/160.89 |
% 202.17/160.89 |-The branch is then unsatisfiable
% 202.17/160.89 |-Branch two:
% 202.17/160.89 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.17/160.89 |
% 202.17/160.89 | Applying alpha-rule on (6151) yields:
% 202.17/160.89 | (6152) ~ (all_562_0_40878 = 0)
% 202.17/160.89 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.17/160.89 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.17/160.89 |
% 202.17/160.89 +-Applying beta-rule and splitting (6586), into two cases.
% 202.17/160.89 |-Branch one:
% 202.17/160.89 | (6611) (all_788_0_41091 = 0 & greater_or_equal(all_788_1_41092, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41092) | (all_788_0_41091 = 0 & greater(all_33_1_35, all_788_1_41092) = 0 & end_time(all_33_4_38) = all_788_1_41092)
% 202.17/160.89 |
% 202.17/160.89 +-Applying beta-rule and splitting (6611), into two cases.
% 202.17/160.89 |-Branch one:
% 202.17/160.89 | (6612) all_788_0_41091 = 0 & greater_or_equal(all_788_1_41092, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41092
% 202.17/160.89 |
% 202.17/160.89 | Applying alpha-rule on (6612) yields:
% 202.17/160.89 | (6613) all_788_0_41091 = 0
% 202.17/160.89 | (6614) greater_or_equal(all_788_1_41092, all_33_1_35) = 0
% 202.17/160.89 | (6615) end_time(all_33_4_38) = all_788_1_41092
% 202.17/160.89 |
% 202.17/160.89 | Instantiating formula (43) with all_33_4_38, all_788_1_41092, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41092, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.17/160.89 | (6616) all_788_1_41092 = all_33_1_35
% 202.17/160.89 |
% 202.17/160.89 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41092 and discharging atoms end_time(all_33_4_38) = all_788_1_41092, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.17/160.89 | (6617) all_788_1_41092 = all_562_1_40879
% 202.17/160.89 |
% 202.17/160.89 | Combining equations (6617,6616) yields a new equation:
% 202.17/160.89 | (6162) all_562_1_40879 = all_33_1_35
% 202.17/160.89 |
% 202.17/160.89 | Simplifying 6162 yields:
% 202.17/160.89 | (6163) all_562_1_40879 = all_33_1_35
% 202.17/160.89 |
% 202.17/160.89 | From (6616) and (6614) follows:
% 202.17/160.89 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.17/160.89 |
% 202.17/160.89 | From (6163) and (6153) follows:
% 202.17/160.89 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.17/160.89 |
% 202.17/160.89 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.17/160.89 | (6166) all_562_0_40878 = 0
% 202.17/160.89 |
% 202.17/160.89 | Equations (6166) can reduce 6152 to:
% 202.17/160.89 | (62) $false
% 202.17/160.89 |
% 202.17/160.89 |-The branch is then unsatisfiable
% 202.17/160.89 |-Branch two:
% 202.17/160.89 | (6624) all_788_0_41091 = 0 & greater(all_33_1_35, all_788_1_41092) = 0 & end_time(all_33_4_38) = all_788_1_41092
% 202.17/160.89 |
% 202.17/160.89 | Applying alpha-rule on (6624) yields:
% 202.17/160.89 | (6613) all_788_0_41091 = 0
% 202.17/160.89 | (6626) greater(all_33_1_35, all_788_1_41092) = 0
% 202.17/160.89 | (6615) end_time(all_33_4_38) = all_788_1_41092
% 202.17/160.89 |
% 202.17/160.89 | Instantiating formula (43) with all_33_4_38, all_788_1_41092, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41092, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.17/160.89 | (6616) all_788_1_41092 = all_33_1_35
% 202.17/160.89 |
% 202.17/160.89 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41092 and discharging atoms end_time(all_33_4_38) = all_788_1_41092, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.17/160.89 | (6617) all_788_1_41092 = all_562_1_40879
% 202.17/160.89 |
% 202.17/160.89 | Combining equations (6617,6616) yields a new equation:
% 202.17/160.90 | (6162) all_562_1_40879 = all_33_1_35
% 202.17/160.90 |
% 202.17/160.90 | Simplifying 6162 yields:
% 202.17/160.90 | (6163) all_562_1_40879 = all_33_1_35
% 202.17/160.90 |
% 202.17/160.90 | From (6163) and (6153) follows:
% 202.17/160.90 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.17/160.90 |
% 202.17/160.90 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.17/160.90 | (6166) all_562_0_40878 = 0
% 202.21/160.90 |
% 202.21/160.90 | Equations (6166) can reduce 6152 to:
% 202.21/160.90 | (62) $false
% 202.21/160.90 |
% 202.21/160.90 |-The branch is then unsatisfiable
% 202.21/160.90 |-Branch two:
% 202.21/160.90 | (6635) ~ (all_788_1_41092 = 0) & environment(all_33_4_38) = all_788_1_41092
% 202.21/160.90 |
% 202.21/160.90 | Applying alpha-rule on (6635) yields:
% 202.21/160.90 | (6636) ~ (all_788_1_41092 = 0)
% 202.21/160.90 | (6637) environment(all_33_4_38) = all_788_1_41092
% 202.21/160.90 |
% 202.21/160.90 | Instantiating formula (35) with all_33_4_38, all_788_1_41092, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41092, environment(all_33_4_38) = 0, yields:
% 202.21/160.90 | (6638) all_788_1_41092 = 0
% 202.21/160.90 |
% 202.21/160.90 | Equations (6638) can reduce 6636 to:
% 202.21/160.90 | (62) $false
% 202.21/160.90 |
% 202.21/160.90 |-The branch is then unsatisfiable
% 202.21/160.90 |-Branch two:
% 202.21/160.90 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.21/160.90 |
% 202.21/160.90 | Applying alpha-rule on (6184) yields:
% 202.21/160.90 | (6185) ~ (all_562_1_40879 = 0)
% 202.21/160.90 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.21/160.90 |
% 202.21/160.90 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.21/160.90 | (6147) all_562_1_40879 = 0
% 202.21/160.90 |
% 202.21/160.90 | Equations (6147) can reduce 6185 to:
% 202.21/160.90 | (62) $false
% 202.21/160.90 |
% 202.21/160.90 |-The branch is then unsatisfiable
% 202.21/160.90 |-Branch two:
% 202.21/160.90 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.21/160.90 |
% 202.21/160.90 | Applying alpha-rule on (6189) yields:
% 202.21/160.90 | (6122) all_450_0_40845 = 0
% 202.21/160.90 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 202.21/160.90 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.21/160.90 |
% 202.21/160.90 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.21/160.90 | (6125) all_450_1_40846 = all_33_1_35
% 202.21/160.90 |
% 202.21/160.90 | From (6125) and (6124) follows:
% 202.21/160.90 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.21/160.90 |
% 202.21/160.90 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.21/160.90 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.21/160.90 |
% 202.21/160.90 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.21/160.90 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.21/160.90 |
% 202.21/160.90 | Instantiating (287) with all_783_0_41112 yields:
% 202.21/160.90 | (6653) (all_783_0_41112 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41112 = 0) & environment(all_33_4_38) = all_783_0_41112) | ( ~ (all_783_0_41112 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41112)
% 202.21/160.90 |
% 202.21/160.90 | Instantiating (6127) with all_784_0_41113, all_784_1_41114 yields:
% 202.21/160.90 | (6654) (all_784_0_41113 = 0 & greater_or_equal(all_784_1_41114, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41114) | (all_784_0_41113 = 0 & greater(all_33_1_35, all_784_1_41114) = 0 & end_time(all_33_4_38) = all_784_1_41114) | ( ~ (all_784_1_41114 = 0) & environment(all_33_4_38) = all_784_1_41114)
% 202.21/160.90 |
% 202.21/160.90 +-Applying beta-rule and splitting (6653), into two cases.
% 202.21/160.90 |-Branch one:
% 202.21/160.90 | (6655) (all_783_0_41112 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41112 = 0) & environment(all_33_4_38) = all_783_0_41112)
% 202.21/160.90 |
% 202.21/160.90 +-Applying beta-rule and splitting (6655), into two cases.
% 202.21/160.90 |-Branch one:
% 202.21/160.90 | (6656) all_783_0_41112 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.21/160.90 |
% 202.21/160.90 | Applying alpha-rule on (6656) yields:
% 202.21/160.90 | (6657) all_783_0_41112 = 0
% 202.21/160.90 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.21/160.90 |
% 202.21/160.90 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.21/160.90 | (109) all_33_0_34 = 0
% 202.21/160.90 |
% 202.21/160.90 | Equations (109) can reduce 72 to:
% 202.21/160.90 | (62) $false
% 202.21/160.90 |
% 202.21/160.90 |-The branch is then unsatisfiable
% 202.21/160.90 |-Branch two:
% 202.21/160.90 | (6661) ~ (all_783_0_41112 = 0) & environment(all_33_4_38) = all_783_0_41112
% 202.21/160.90 |
% 202.21/160.90 | Applying alpha-rule on (6661) yields:
% 202.21/160.90 | (6662) ~ (all_783_0_41112 = 0)
% 202.21/160.91 | (6663) environment(all_33_4_38) = all_783_0_41112
% 202.21/160.91 |
% 202.21/160.91 | Instantiating formula (35) with all_33_4_38, all_783_0_41112, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41112, environment(all_33_4_38) = 0, yields:
% 202.21/160.91 | (6657) all_783_0_41112 = 0
% 202.21/160.91 |
% 202.21/160.91 | Equations (6657) can reduce 6662 to:
% 202.21/160.91 | (62) $false
% 202.21/160.91 |
% 202.21/160.91 |-The branch is then unsatisfiable
% 202.21/160.91 |-Branch two:
% 202.21/160.91 | (6666) ~ (all_783_0_41112 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41112
% 202.21/160.91 |
% 202.21/160.91 | Applying alpha-rule on (6666) yields:
% 202.21/160.91 | (6662) ~ (all_783_0_41112 = 0)
% 202.21/160.91 | (6668) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41112
% 202.21/160.91 |
% 202.21/160.91 +-Applying beta-rule and splitting (6084), into two cases.
% 202.21/160.91 |-Branch one:
% 202.21/160.91 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.21/160.91 |
% 202.21/160.91 +-Applying beta-rule and splitting (6145), into two cases.
% 202.21/160.91 |-Branch one:
% 202.21/160.91 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.21/160.91 |
% 202.21/160.91 | Applying alpha-rule on (6146) yields:
% 202.21/160.91 | (6147) all_562_1_40879 = 0
% 202.21/160.91 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.21/160.91 |
% 202.21/160.91 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41112 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41112, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.21/160.91 | (6657) all_783_0_41112 = 0
% 202.21/160.91 |
% 202.21/160.91 | Equations (6657) can reduce 6662 to:
% 202.21/160.91 | (62) $false
% 202.21/160.91 |
% 202.21/160.91 |-The branch is then unsatisfiable
% 202.21/160.91 |-Branch two:
% 202.21/160.91 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.21/160.91 |
% 202.21/160.91 | Applying alpha-rule on (6151) yields:
% 202.21/160.91 | (6152) ~ (all_562_0_40878 = 0)
% 202.21/160.91 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.21/160.91 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.21/160.91 |
% 202.21/160.91 +-Applying beta-rule and splitting (6654), into two cases.
% 202.21/160.91 |-Branch one:
% 202.21/160.91 | (6679) (all_784_0_41113 = 0 & greater_or_equal(all_784_1_41114, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41114) | (all_784_0_41113 = 0 & greater(all_33_1_35, all_784_1_41114) = 0 & end_time(all_33_4_38) = all_784_1_41114)
% 202.21/160.91 |
% 202.21/160.91 +-Applying beta-rule and splitting (6679), into two cases.
% 202.21/160.91 |-Branch one:
% 202.21/160.91 | (6680) all_784_0_41113 = 0 & greater_or_equal(all_784_1_41114, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41114
% 202.21/160.91 |
% 202.21/160.91 | Applying alpha-rule on (6680) yields:
% 202.21/160.91 | (6681) all_784_0_41113 = 0
% 202.21/160.91 | (6682) greater_or_equal(all_784_1_41114, all_33_1_35) = 0
% 202.21/160.91 | (6683) end_time(all_33_4_38) = all_784_1_41114
% 202.21/160.91 |
% 202.21/160.91 | Instantiating formula (43) with all_33_4_38, all_784_1_41114, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41114, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.21/160.91 | (6684) all_784_1_41114 = all_33_1_35
% 202.21/160.91 |
% 202.21/160.91 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41114 and discharging atoms end_time(all_33_4_38) = all_784_1_41114, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.21/160.91 | (6685) all_784_1_41114 = all_562_1_40879
% 202.21/160.91 |
% 202.21/160.91 | Combining equations (6685,6684) yields a new equation:
% 202.21/160.91 | (6162) all_562_1_40879 = all_33_1_35
% 202.21/160.91 |
% 202.21/160.91 | Simplifying 6162 yields:
% 202.21/160.91 | (6163) all_562_1_40879 = all_33_1_35
% 202.21/160.91 |
% 202.21/160.91 | From (6684) and (6682) follows:
% 202.21/160.91 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.21/160.91 |
% 202.21/160.91 | From (6163) and (6153) follows:
% 202.21/160.91 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.21/160.91 |
% 202.21/160.91 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.21/160.91 | (6166) all_562_0_40878 = 0
% 202.21/160.91 |
% 202.21/160.91 | Equations (6166) can reduce 6152 to:
% 202.21/160.91 | (62) $false
% 202.21/160.91 |
% 202.21/160.91 |-The branch is then unsatisfiable
% 202.21/160.91 |-Branch two:
% 202.21/160.91 | (6692) all_784_0_41113 = 0 & greater(all_33_1_35, all_784_1_41114) = 0 & end_time(all_33_4_38) = all_784_1_41114
% 202.21/160.91 |
% 202.21/160.91 | Applying alpha-rule on (6692) yields:
% 202.21/160.91 | (6681) all_784_0_41113 = 0
% 202.21/160.91 | (6694) greater(all_33_1_35, all_784_1_41114) = 0
% 202.29/160.92 | (6683) end_time(all_33_4_38) = all_784_1_41114
% 202.29/160.92 |
% 202.29/160.92 | Instantiating formula (43) with all_33_4_38, all_784_1_41114, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41114, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.92 | (6684) all_784_1_41114 = all_33_1_35
% 202.29/160.92 |
% 202.29/160.92 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41114 and discharging atoms end_time(all_33_4_38) = all_784_1_41114, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.29/160.92 | (6685) all_784_1_41114 = all_562_1_40879
% 202.29/160.92 |
% 202.29/160.92 | Combining equations (6685,6684) yields a new equation:
% 202.29/160.92 | (6162) all_562_1_40879 = all_33_1_35
% 202.29/160.92 |
% 202.29/160.92 | Simplifying 6162 yields:
% 202.29/160.92 | (6163) all_562_1_40879 = all_33_1_35
% 202.29/160.92 |
% 202.29/160.92 | From (6163) and (6153) follows:
% 202.29/160.92 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.29/160.92 |
% 202.29/160.92 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.29/160.92 | (6166) all_562_0_40878 = 0
% 202.29/160.92 |
% 202.29/160.92 | Equations (6166) can reduce 6152 to:
% 202.29/160.92 | (62) $false
% 202.29/160.92 |
% 202.29/160.92 |-The branch is then unsatisfiable
% 202.29/160.92 |-Branch two:
% 202.29/160.92 | (6703) ~ (all_784_1_41114 = 0) & environment(all_33_4_38) = all_784_1_41114
% 202.29/160.92 |
% 202.29/160.92 | Applying alpha-rule on (6703) yields:
% 202.29/160.92 | (6704) ~ (all_784_1_41114 = 0)
% 202.29/160.92 | (6705) environment(all_33_4_38) = all_784_1_41114
% 202.29/160.92 |
% 202.29/160.92 | Instantiating formula (35) with all_33_4_38, all_784_1_41114, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41114, environment(all_33_4_38) = 0, yields:
% 202.29/160.92 | (6706) all_784_1_41114 = 0
% 202.29/160.92 |
% 202.29/160.92 | Equations (6706) can reduce 6704 to:
% 202.29/160.92 | (62) $false
% 202.29/160.92 |
% 202.29/160.92 |-The branch is then unsatisfiable
% 202.29/160.92 |-Branch two:
% 202.29/160.92 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.29/160.92 |
% 202.29/160.92 | Applying alpha-rule on (6184) yields:
% 202.29/160.92 | (6185) ~ (all_562_1_40879 = 0)
% 202.29/160.92 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.29/160.92 |
% 202.29/160.92 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.29/160.92 | (6147) all_562_1_40879 = 0
% 202.29/160.92 |
% 202.29/160.92 | Equations (6147) can reduce 6185 to:
% 202.29/160.92 | (62) $false
% 202.29/160.92 |
% 202.29/160.92 |-The branch is then unsatisfiable
% 202.29/160.92 |-Branch two:
% 202.29/160.92 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 202.29/160.92 |
% 202.29/160.92 | Applying alpha-rule on (6257) yields:
% 202.29/160.92 | (6258) ~ (all_450_1_40846 = 0)
% 202.29/160.92 | (6259) environment(all_33_4_38) = all_450_1_40846
% 202.29/160.92 |
% 202.29/160.92 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 202.29/160.92 | (6260) all_450_1_40846 = 0
% 202.29/160.92 |
% 202.29/160.92 | Equations (6260) can reduce 6258 to:
% 202.29/160.92 | (62) $false
% 202.29/160.92 |
% 202.29/160.92 |-The branch is then unsatisfiable
% 202.29/160.92 |-Branch two:
% 202.29/160.92 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 202.29/160.92 |
% 202.29/160.92 | Applying alpha-rule on (6410) yields:
% 202.29/160.92 | (6411) ~ (all_449_1_40844 = 0)
% 202.29/160.92 | (6412) environment(all_33_4_38) = all_449_1_40844
% 202.29/160.92 |
% 202.29/160.92 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 202.29/160.92 | (6413) all_449_1_40844 = 0
% 202.29/160.92 |
% 202.29/160.92 | Equations (6413) can reduce 6411 to:
% 202.29/160.92 | (62) $false
% 202.29/160.92 |
% 202.29/160.92 |-The branch is then unsatisfiable
% 202.29/160.92 |-Branch two:
% 202.29/160.92 | (6723) ~ (all_448_1_40842 = 0) & environment(all_33_4_38) = all_448_1_40842
% 202.29/160.92 |
% 202.29/160.93 | Applying alpha-rule on (6723) yields:
% 202.29/160.93 | (6724) ~ (all_448_1_40842 = 0)
% 202.29/160.93 | (6725) environment(all_33_4_38) = all_448_1_40842
% 202.29/160.93 |
% 202.29/160.93 | Instantiating formula (35) with all_33_4_38, all_448_1_40842, 0 and discharging atoms environment(all_33_4_38) = all_448_1_40842, environment(all_33_4_38) = 0, yields:
% 202.29/160.93 | (6726) all_448_1_40842 = 0
% 202.29/160.93 |
% 202.29/160.93 | Equations (6726) can reduce 6724 to:
% 202.29/160.93 | (62) $false
% 202.29/160.93 |
% 202.29/160.93 |-The branch is then unsatisfiable
% 202.29/160.93 |-Branch two:
% 202.29/160.93 | (6728) all_447_0_40839 = 0 & greater(all_60_2_75, all_447_1_40840) = 0 & end_time(all_33_4_38) = all_447_1_40840
% 202.29/160.93 |
% 202.29/160.93 | Applying alpha-rule on (6728) yields:
% 202.29/160.93 | (6101) all_447_0_40839 = 0
% 202.29/160.93 | (6730) greater(all_60_2_75, all_447_1_40840) = 0
% 202.29/160.93 | (6103) end_time(all_33_4_38) = all_447_1_40840
% 202.29/160.93 |
% 202.29/160.93 | Instantiating formula (43) with all_33_4_38, all_447_1_40840, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_447_1_40840, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.93 | (6104) all_447_1_40840 = all_33_1_35
% 202.29/160.93 |
% 202.29/160.93 | From (6104) and (6103) follows:
% 202.29/160.93 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.29/160.93 |
% 202.29/160.93 +-Applying beta-rule and splitting (6071), into two cases.
% 202.29/160.93 |-Branch one:
% 202.29/160.93 | (6106) (all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842) | (all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842)
% 202.29/160.93 |
% 202.29/160.93 +-Applying beta-rule and splitting (6106), into two cases.
% 202.29/160.93 |-Branch one:
% 202.29/160.93 | (6107) all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 202.29/160.93 |
% 202.29/160.93 | Applying alpha-rule on (6107) yields:
% 202.29/160.93 | (6108) all_448_0_40841 = 0
% 202.29/160.93 | (6109) greater_or_equal(all_448_1_40842, all_114_2_98) = 0
% 202.29/160.93 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 202.29/160.93 |
% 202.29/160.93 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.93 | (6111) all_448_1_40842 = all_33_1_35
% 202.29/160.93 |
% 202.29/160.93 | From (6111) and (6110) follows:
% 202.29/160.93 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.29/160.93 |
% 202.29/160.93 +-Applying beta-rule and splitting (6072), into two cases.
% 202.29/160.93 |-Branch one:
% 202.29/160.93 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 202.29/160.93 |
% 202.29/160.93 +-Applying beta-rule and splitting (6113), into two cases.
% 202.29/160.93 |-Branch one:
% 202.29/160.93 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 202.29/160.93 |
% 202.29/160.93 | Applying alpha-rule on (6114) yields:
% 202.29/160.93 | (6115) all_449_0_40843 = 0
% 202.29/160.93 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 202.29/160.93 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 202.29/160.93 |
% 202.29/160.93 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.93 | (6118) all_449_1_40844 = all_33_1_35
% 202.29/160.93 |
% 202.29/160.93 | From (6118) and (6117) follows:
% 202.29/160.93 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.29/160.93 |
% 202.29/160.93 +-Applying beta-rule and splitting (6073), into two cases.
% 202.29/160.93 |-Branch one:
% 202.29/160.93 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 202.29/160.93 |
% 202.29/160.93 +-Applying beta-rule and splitting (6120), into two cases.
% 202.29/160.93 |-Branch one:
% 202.29/160.93 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.29/160.93 |
% 202.29/160.93 | Applying alpha-rule on (6121) yields:
% 202.29/160.93 | (6122) all_450_0_40845 = 0
% 202.29/160.93 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 202.29/160.93 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.29/160.93 |
% 202.29/160.93 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.93 | (6125) all_450_1_40846 = all_33_1_35
% 202.29/160.93 |
% 202.29/160.93 | From (6125) and (6124) follows:
% 202.29/160.93 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.29/160.93 |
% 202.29/160.93 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.29/160.93 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.29/160.93 |
% 202.29/160.93 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.29/160.93 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.29/160.93 |
% 202.29/160.93 | Instantiating (287) with all_780_0_41135 yields:
% 202.29/160.94 | (6757) (all_780_0_41135 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_41135 = 0) & environment(all_33_4_38) = all_780_0_41135) | ( ~ (all_780_0_41135 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_41135)
% 202.29/160.94 |
% 202.29/160.94 | Instantiating (6127) with all_790_0_41153, all_790_1_41154 yields:
% 202.29/160.94 | (6758) (all_790_0_41153 = 0 & greater_or_equal(all_790_1_41154, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41154) | (all_790_0_41153 = 0 & greater(all_33_1_35, all_790_1_41154) = 0 & end_time(all_33_4_38) = all_790_1_41154) | ( ~ (all_790_1_41154 = 0) & environment(all_33_4_38) = all_790_1_41154)
% 202.29/160.94 |
% 202.29/160.94 +-Applying beta-rule and splitting (6757), into two cases.
% 202.29/160.94 |-Branch one:
% 202.29/160.94 | (6759) (all_780_0_41135 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_41135 = 0) & environment(all_33_4_38) = all_780_0_41135)
% 202.29/160.94 |
% 202.29/160.94 +-Applying beta-rule and splitting (6759), into two cases.
% 202.29/160.94 |-Branch one:
% 202.29/160.94 | (6760) all_780_0_41135 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.29/160.94 |
% 202.29/160.94 | Applying alpha-rule on (6760) yields:
% 202.29/160.94 | (6761) all_780_0_41135 = 0
% 202.29/160.94 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.29/160.94 |
% 202.29/160.94 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.29/160.94 | (109) all_33_0_34 = 0
% 202.29/160.94 |
% 202.29/160.94 | Equations (109) can reduce 72 to:
% 202.29/160.94 | (62) $false
% 202.29/160.94 |
% 202.29/160.94 |-The branch is then unsatisfiable
% 202.29/160.94 |-Branch two:
% 202.29/160.94 | (6765) ~ (all_780_0_41135 = 0) & environment(all_33_4_38) = all_780_0_41135
% 202.29/160.94 |
% 202.29/160.94 | Applying alpha-rule on (6765) yields:
% 202.29/160.94 | (6766) ~ (all_780_0_41135 = 0)
% 202.29/160.94 | (6767) environment(all_33_4_38) = all_780_0_41135
% 202.29/160.94 |
% 202.29/160.94 | Instantiating formula (35) with all_33_4_38, all_780_0_41135, 0 and discharging atoms environment(all_33_4_38) = all_780_0_41135, environment(all_33_4_38) = 0, yields:
% 202.29/160.94 | (6761) all_780_0_41135 = 0
% 202.29/160.94 |
% 202.29/160.94 | Equations (6761) can reduce 6766 to:
% 202.29/160.94 | (62) $false
% 202.29/160.94 |
% 202.29/160.94 |-The branch is then unsatisfiable
% 202.29/160.94 |-Branch two:
% 202.29/160.94 | (6770) ~ (all_780_0_41135 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_41135
% 202.29/160.94 |
% 202.29/160.94 | Applying alpha-rule on (6770) yields:
% 202.29/160.94 | (6766) ~ (all_780_0_41135 = 0)
% 202.29/160.94 | (6772) in_environment(all_33_4_38, all_33_1_35) = all_780_0_41135
% 202.29/160.94 |
% 202.29/160.94 +-Applying beta-rule and splitting (6084), into two cases.
% 202.29/160.94 |-Branch one:
% 202.29/160.94 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.29/160.94 |
% 202.29/160.94 +-Applying beta-rule and splitting (6145), into two cases.
% 202.29/160.94 |-Branch one:
% 202.29/160.94 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.29/160.94 |
% 202.29/160.94 | Applying alpha-rule on (6146) yields:
% 202.29/160.94 | (6147) all_562_1_40879 = 0
% 202.29/160.94 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.29/160.94 |
% 202.29/160.94 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_780_0_41135 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_780_0_41135, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.29/160.94 | (6761) all_780_0_41135 = 0
% 202.29/160.94 |
% 202.29/160.94 | Equations (6761) can reduce 6766 to:
% 202.29/160.94 | (62) $false
% 202.29/160.94 |
% 202.29/160.94 |-The branch is then unsatisfiable
% 202.29/160.94 |-Branch two:
% 202.29/160.94 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.29/160.94 |
% 202.29/160.94 | Applying alpha-rule on (6151) yields:
% 202.29/160.94 | (6152) ~ (all_562_0_40878 = 0)
% 202.29/160.94 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.29/160.94 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.29/160.94 |
% 202.29/160.94 +-Applying beta-rule and splitting (6758), into two cases.
% 202.29/160.94 |-Branch one:
% 202.29/160.94 | (6783) (all_790_0_41153 = 0 & greater_or_equal(all_790_1_41154, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41154) | (all_790_0_41153 = 0 & greater(all_33_1_35, all_790_1_41154) = 0 & end_time(all_33_4_38) = all_790_1_41154)
% 202.29/160.94 |
% 202.29/160.94 +-Applying beta-rule and splitting (6783), into two cases.
% 202.29/160.94 |-Branch one:
% 202.29/160.94 | (6784) all_790_0_41153 = 0 & greater_or_equal(all_790_1_41154, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41154
% 202.29/160.94 |
% 202.29/160.94 | Applying alpha-rule on (6784) yields:
% 202.29/160.94 | (6785) all_790_0_41153 = 0
% 202.29/160.94 | (6786) greater_or_equal(all_790_1_41154, all_33_1_35) = 0
% 202.29/160.94 | (6787) end_time(all_33_4_38) = all_790_1_41154
% 202.29/160.94 |
% 202.29/160.94 | Instantiating formula (43) with all_33_4_38, all_790_1_41154, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_41154, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.94 | (6788) all_790_1_41154 = all_33_1_35
% 202.29/160.94 |
% 202.29/160.94 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_41154 and discharging atoms end_time(all_33_4_38) = all_790_1_41154, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.29/160.94 | (6789) all_790_1_41154 = all_562_1_40879
% 202.29/160.94 |
% 202.29/160.94 | Combining equations (6789,6788) yields a new equation:
% 202.29/160.94 | (6162) all_562_1_40879 = all_33_1_35
% 202.29/160.94 |
% 202.29/160.94 | Simplifying 6162 yields:
% 202.29/160.94 | (6163) all_562_1_40879 = all_33_1_35
% 202.29/160.94 |
% 202.29/160.94 | From (6788) and (6786) follows:
% 202.29/160.95 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.29/160.95 |
% 202.29/160.95 | From (6163) and (6153) follows:
% 202.29/160.95 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.29/160.95 |
% 202.29/160.95 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.29/160.95 | (6166) all_562_0_40878 = 0
% 202.29/160.95 |
% 202.29/160.95 | Equations (6166) can reduce 6152 to:
% 202.29/160.95 | (62) $false
% 202.29/160.95 |
% 202.29/160.95 |-The branch is then unsatisfiable
% 202.29/160.95 |-Branch two:
% 202.29/160.95 | (6796) all_790_0_41153 = 0 & greater(all_33_1_35, all_790_1_41154) = 0 & end_time(all_33_4_38) = all_790_1_41154
% 202.29/160.95 |
% 202.29/160.95 | Applying alpha-rule on (6796) yields:
% 202.29/160.95 | (6785) all_790_0_41153 = 0
% 202.29/160.95 | (6798) greater(all_33_1_35, all_790_1_41154) = 0
% 202.29/160.95 | (6787) end_time(all_33_4_38) = all_790_1_41154
% 202.29/160.95 |
% 202.29/160.95 | Instantiating formula (43) with all_33_4_38, all_790_1_41154, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_41154, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.95 | (6788) all_790_1_41154 = all_33_1_35
% 202.29/160.95 |
% 202.29/160.95 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_41154 and discharging atoms end_time(all_33_4_38) = all_790_1_41154, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.29/160.95 | (6789) all_790_1_41154 = all_562_1_40879
% 202.29/160.95 |
% 202.29/160.95 | Combining equations (6789,6788) yields a new equation:
% 202.29/160.95 | (6162) all_562_1_40879 = all_33_1_35
% 202.29/160.95 |
% 202.29/160.95 | Simplifying 6162 yields:
% 202.29/160.95 | (6163) all_562_1_40879 = all_33_1_35
% 202.29/160.95 |
% 202.29/160.95 | From (6163) and (6153) follows:
% 202.29/160.95 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.29/160.95 |
% 202.29/160.95 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.29/160.95 | (6166) all_562_0_40878 = 0
% 202.29/160.95 |
% 202.29/160.95 | Equations (6166) can reduce 6152 to:
% 202.29/160.95 | (62) $false
% 202.29/160.95 |
% 202.29/160.95 |-The branch is then unsatisfiable
% 202.29/160.95 |-Branch two:
% 202.29/160.95 | (6807) ~ (all_790_1_41154 = 0) & environment(all_33_4_38) = all_790_1_41154
% 202.29/160.95 |
% 202.29/160.95 | Applying alpha-rule on (6807) yields:
% 202.29/160.95 | (6808) ~ (all_790_1_41154 = 0)
% 202.29/160.95 | (6809) environment(all_33_4_38) = all_790_1_41154
% 202.29/160.95 |
% 202.29/160.95 | Instantiating formula (35) with all_33_4_38, all_790_1_41154, 0 and discharging atoms environment(all_33_4_38) = all_790_1_41154, environment(all_33_4_38) = 0, yields:
% 202.29/160.95 | (6810) all_790_1_41154 = 0
% 202.29/160.95 |
% 202.29/160.95 | Equations (6810) can reduce 6808 to:
% 202.29/160.95 | (62) $false
% 202.29/160.95 |
% 202.29/160.95 |-The branch is then unsatisfiable
% 202.29/160.95 |-Branch two:
% 202.29/160.95 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.29/160.95 |
% 202.29/160.95 | Applying alpha-rule on (6184) yields:
% 202.29/160.95 | (6185) ~ (all_562_1_40879 = 0)
% 202.29/160.95 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.29/160.95 |
% 202.29/160.95 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.29/160.95 | (6147) all_562_1_40879 = 0
% 202.29/160.95 |
% 202.29/160.95 | Equations (6147) can reduce 6185 to:
% 202.29/160.95 | (62) $false
% 202.29/160.95 |
% 202.29/160.95 |-The branch is then unsatisfiable
% 202.29/160.95 |-Branch two:
% 202.29/160.95 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.29/160.95 |
% 202.29/160.95 | Applying alpha-rule on (6189) yields:
% 202.29/160.95 | (6122) all_450_0_40845 = 0
% 202.29/160.95 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 202.29/160.95 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.29/160.95 |
% 202.29/160.95 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.95 | (6125) all_450_1_40846 = all_33_1_35
% 202.29/160.95 |
% 202.29/160.95 | From (6125) and (6124) follows:
% 202.29/160.95 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.29/160.95 |
% 202.29/160.95 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.29/160.95 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.29/160.96 |
% 202.29/160.96 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.29/160.96 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.29/160.96 |
% 202.29/160.96 | Instantiating (287) with all_779_0_41165 yields:
% 202.29/160.96 | (6825) (all_779_0_41165 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41165 = 0) & environment(all_33_4_38) = all_779_0_41165) | ( ~ (all_779_0_41165 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41165)
% 202.29/160.96 |
% 202.29/160.96 | Instantiating (6127) with all_788_0_41181, all_788_1_41182 yields:
% 202.29/160.96 | (6826) (all_788_0_41181 = 0 & greater_or_equal(all_788_1_41182, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41182) | (all_788_0_41181 = 0 & greater(all_33_1_35, all_788_1_41182) = 0 & end_time(all_33_4_38) = all_788_1_41182) | ( ~ (all_788_1_41182 = 0) & environment(all_33_4_38) = all_788_1_41182)
% 202.29/160.96 |
% 202.29/160.96 +-Applying beta-rule and splitting (6825), into two cases.
% 202.29/160.96 |-Branch one:
% 202.29/160.96 | (6827) (all_779_0_41165 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41165 = 0) & environment(all_33_4_38) = all_779_0_41165)
% 202.29/160.96 |
% 202.29/160.96 +-Applying beta-rule and splitting (6827), into two cases.
% 202.29/160.96 |-Branch one:
% 202.29/160.96 | (6828) all_779_0_41165 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.29/160.96 |
% 202.29/160.96 | Applying alpha-rule on (6828) yields:
% 202.29/160.96 | (6829) all_779_0_41165 = 0
% 202.29/160.96 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.29/160.96 |
% 202.29/160.96 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.29/160.96 | (109) all_33_0_34 = 0
% 202.29/160.96 |
% 202.29/160.96 | Equations (109) can reduce 72 to:
% 202.29/160.96 | (62) $false
% 202.29/160.96 |
% 202.29/160.96 |-The branch is then unsatisfiable
% 202.29/160.96 |-Branch two:
% 202.29/160.96 | (6833) ~ (all_779_0_41165 = 0) & environment(all_33_4_38) = all_779_0_41165
% 202.29/160.96 |
% 202.29/160.96 | Applying alpha-rule on (6833) yields:
% 202.29/160.96 | (6834) ~ (all_779_0_41165 = 0)
% 202.29/160.96 | (6835) environment(all_33_4_38) = all_779_0_41165
% 202.29/160.96 |
% 202.29/160.96 | Instantiating formula (35) with all_33_4_38, all_779_0_41165, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41165, environment(all_33_4_38) = 0, yields:
% 202.29/160.96 | (6829) all_779_0_41165 = 0
% 202.29/160.96 |
% 202.29/160.96 | Equations (6829) can reduce 6834 to:
% 202.29/160.96 | (62) $false
% 202.29/160.96 |
% 202.29/160.96 |-The branch is then unsatisfiable
% 202.29/160.96 |-Branch two:
% 202.29/160.96 | (6838) ~ (all_779_0_41165 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41165
% 202.29/160.96 |
% 202.29/160.96 | Applying alpha-rule on (6838) yields:
% 202.29/160.96 | (6834) ~ (all_779_0_41165 = 0)
% 202.29/160.96 | (6840) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41165
% 202.29/160.96 |
% 202.29/160.96 +-Applying beta-rule and splitting (6084), into two cases.
% 202.29/160.96 |-Branch one:
% 202.29/160.96 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.29/160.96 |
% 202.29/160.96 +-Applying beta-rule and splitting (6145), into two cases.
% 202.29/160.96 |-Branch one:
% 202.29/160.96 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.29/160.96 |
% 202.29/160.96 | Applying alpha-rule on (6146) yields:
% 202.29/160.96 | (6147) all_562_1_40879 = 0
% 202.29/160.96 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.29/160.96 |
% 202.29/160.96 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41165 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41165, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.29/160.96 | (6829) all_779_0_41165 = 0
% 202.29/160.96 |
% 202.29/160.96 | Equations (6829) can reduce 6834 to:
% 202.29/160.96 | (62) $false
% 202.29/160.96 |
% 202.29/160.96 |-The branch is then unsatisfiable
% 202.29/160.96 |-Branch two:
% 202.29/160.96 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.29/160.96 |
% 202.29/160.96 | Applying alpha-rule on (6151) yields:
% 202.29/160.96 | (6152) ~ (all_562_0_40878 = 0)
% 202.29/160.96 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.29/160.96 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.29/160.96 |
% 202.29/160.96 +-Applying beta-rule and splitting (6826), into two cases.
% 202.29/160.96 |-Branch one:
% 202.29/160.96 | (6851) (all_788_0_41181 = 0 & greater_or_equal(all_788_1_41182, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41182) | (all_788_0_41181 = 0 & greater(all_33_1_35, all_788_1_41182) = 0 & end_time(all_33_4_38) = all_788_1_41182)
% 202.29/160.96 |
% 202.29/160.96 +-Applying beta-rule and splitting (6851), into two cases.
% 202.29/160.96 |-Branch one:
% 202.29/160.96 | (6852) all_788_0_41181 = 0 & greater_or_equal(all_788_1_41182, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41182
% 202.29/160.96 |
% 202.29/160.96 | Applying alpha-rule on (6852) yields:
% 202.29/160.96 | (6853) all_788_0_41181 = 0
% 202.29/160.96 | (6854) greater_or_equal(all_788_1_41182, all_33_1_35) = 0
% 202.29/160.96 | (6855) end_time(all_33_4_38) = all_788_1_41182
% 202.29/160.96 |
% 202.29/160.96 | Instantiating formula (43) with all_33_4_38, all_788_1_41182, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41182, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.96 | (6856) all_788_1_41182 = all_33_1_35
% 202.29/160.96 |
% 202.29/160.96 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41182 and discharging atoms end_time(all_33_4_38) = all_788_1_41182, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.29/160.96 | (6857) all_788_1_41182 = all_562_1_40879
% 202.29/160.96 |
% 202.29/160.96 | Combining equations (6857,6856) yields a new equation:
% 202.29/160.97 | (6162) all_562_1_40879 = all_33_1_35
% 202.29/160.97 |
% 202.29/160.97 | Simplifying 6162 yields:
% 202.29/160.97 | (6163) all_562_1_40879 = all_33_1_35
% 202.29/160.97 |
% 202.29/160.97 | From (6856) and (6854) follows:
% 202.29/160.97 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.29/160.97 |
% 202.29/160.97 | From (6163) and (6153) follows:
% 202.29/160.97 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.29/160.97 |
% 202.29/160.97 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.29/160.97 | (6166) all_562_0_40878 = 0
% 202.29/160.97 |
% 202.29/160.97 | Equations (6166) can reduce 6152 to:
% 202.29/160.97 | (62) $false
% 202.29/160.97 |
% 202.29/160.97 |-The branch is then unsatisfiable
% 202.29/160.97 |-Branch two:
% 202.29/160.97 | (6864) all_788_0_41181 = 0 & greater(all_33_1_35, all_788_1_41182) = 0 & end_time(all_33_4_38) = all_788_1_41182
% 202.29/160.97 |
% 202.29/160.97 | Applying alpha-rule on (6864) yields:
% 202.29/160.97 | (6853) all_788_0_41181 = 0
% 202.29/160.97 | (6866) greater(all_33_1_35, all_788_1_41182) = 0
% 202.29/160.97 | (6855) end_time(all_33_4_38) = all_788_1_41182
% 202.29/160.97 |
% 202.29/160.97 | Instantiating formula (43) with all_33_4_38, all_788_1_41182, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41182, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.97 | (6856) all_788_1_41182 = all_33_1_35
% 202.29/160.97 |
% 202.29/160.97 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41182 and discharging atoms end_time(all_33_4_38) = all_788_1_41182, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.29/160.97 | (6857) all_788_1_41182 = all_562_1_40879
% 202.29/160.97 |
% 202.29/160.97 | Combining equations (6857,6856) yields a new equation:
% 202.29/160.97 | (6162) all_562_1_40879 = all_33_1_35
% 202.29/160.97 |
% 202.29/160.97 | Simplifying 6162 yields:
% 202.29/160.97 | (6163) all_562_1_40879 = all_33_1_35
% 202.29/160.97 |
% 202.29/160.97 | From (6163) and (6153) follows:
% 202.29/160.97 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.29/160.97 |
% 202.29/160.97 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.29/160.97 | (6166) all_562_0_40878 = 0
% 202.29/160.97 |
% 202.29/160.97 | Equations (6166) can reduce 6152 to:
% 202.29/160.97 | (62) $false
% 202.29/160.97 |
% 202.29/160.97 |-The branch is then unsatisfiable
% 202.29/160.97 |-Branch two:
% 202.29/160.97 | (6875) ~ (all_788_1_41182 = 0) & environment(all_33_4_38) = all_788_1_41182
% 202.29/160.97 |
% 202.29/160.97 | Applying alpha-rule on (6875) yields:
% 202.29/160.97 | (6876) ~ (all_788_1_41182 = 0)
% 202.29/160.97 | (6877) environment(all_33_4_38) = all_788_1_41182
% 202.29/160.97 |
% 202.29/160.97 | Instantiating formula (35) with all_33_4_38, all_788_1_41182, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41182, environment(all_33_4_38) = 0, yields:
% 202.29/160.97 | (6878) all_788_1_41182 = 0
% 202.29/160.97 |
% 202.29/160.97 | Equations (6878) can reduce 6876 to:
% 202.29/160.97 | (62) $false
% 202.29/160.97 |
% 202.29/160.97 |-The branch is then unsatisfiable
% 202.29/160.97 |-Branch two:
% 202.29/160.97 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.29/160.97 |
% 202.29/160.97 | Applying alpha-rule on (6184) yields:
% 202.29/160.97 | (6185) ~ (all_562_1_40879 = 0)
% 202.29/160.97 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.29/160.97 |
% 202.29/160.97 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.29/160.97 | (6147) all_562_1_40879 = 0
% 202.29/160.97 |
% 202.29/160.97 | Equations (6147) can reduce 6185 to:
% 202.29/160.97 | (62) $false
% 202.29/160.97 |
% 202.29/160.97 |-The branch is then unsatisfiable
% 202.29/160.97 |-Branch two:
% 202.29/160.97 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 202.29/160.97 |
% 202.29/160.97 | Applying alpha-rule on (6257) yields:
% 202.29/160.97 | (6258) ~ (all_450_1_40846 = 0)
% 202.29/160.97 | (6259) environment(all_33_4_38) = all_450_1_40846
% 202.29/160.97 |
% 202.29/160.97 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 202.29/160.97 | (6260) all_450_1_40846 = 0
% 202.29/160.97 |
% 202.29/160.98 | Equations (6260) can reduce 6258 to:
% 202.29/160.98 | (62) $false
% 202.29/160.98 |
% 202.29/160.98 |-The branch is then unsatisfiable
% 202.29/160.98 |-Branch two:
% 202.29/160.98 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 202.29/160.98 |
% 202.29/160.98 | Applying alpha-rule on (6262) yields:
% 202.29/160.98 | (6115) all_449_0_40843 = 0
% 202.29/160.98 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 202.29/160.98 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 202.29/160.98 |
% 202.29/160.98 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.98 | (6118) all_449_1_40844 = all_33_1_35
% 202.29/160.98 |
% 202.29/160.98 | From (6118) and (6117) follows:
% 202.29/160.98 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.29/160.98 |
% 202.29/160.98 +-Applying beta-rule and splitting (6073), into two cases.
% 202.29/160.98 |-Branch one:
% 202.29/160.98 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 202.29/160.98 |
% 202.29/160.98 +-Applying beta-rule and splitting (6120), into two cases.
% 202.29/160.98 |-Branch one:
% 202.29/160.98 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.29/160.98 |
% 202.29/160.98 | Applying alpha-rule on (6121) yields:
% 202.29/160.98 | (6122) all_450_0_40845 = 0
% 202.29/160.98 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 202.29/160.98 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.29/160.98 |
% 202.29/160.98 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.98 | (6125) all_450_1_40846 = all_33_1_35
% 202.29/160.98 |
% 202.29/160.98 | From (6125) and (6124) follows:
% 202.29/160.98 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.29/160.98 |
% 202.29/160.98 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.29/160.98 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.29/160.98 |
% 202.29/160.98 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.29/160.98 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.29/160.98 |
% 202.29/160.98 | Instantiating (287) with all_779_0_41195 yields:
% 202.29/160.98 | (6905) (all_779_0_41195 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41195 = 0) & environment(all_33_4_38) = all_779_0_41195) | ( ~ (all_779_0_41195 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41195)
% 202.29/160.98 |
% 202.29/160.98 | Instantiating (6127) with all_788_0_41211, all_788_1_41212 yields:
% 202.29/160.98 | (6906) (all_788_0_41211 = 0 & greater_or_equal(all_788_1_41212, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41212) | (all_788_0_41211 = 0 & greater(all_33_1_35, all_788_1_41212) = 0 & end_time(all_33_4_38) = all_788_1_41212) | ( ~ (all_788_1_41212 = 0) & environment(all_33_4_38) = all_788_1_41212)
% 202.29/160.98 |
% 202.29/160.98 +-Applying beta-rule and splitting (6905), into two cases.
% 202.29/160.98 |-Branch one:
% 202.29/160.98 | (6907) (all_779_0_41195 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41195 = 0) & environment(all_33_4_38) = all_779_0_41195)
% 202.29/160.98 |
% 202.29/160.98 +-Applying beta-rule and splitting (6907), into two cases.
% 202.29/160.98 |-Branch one:
% 202.29/160.98 | (6908) all_779_0_41195 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.29/160.98 |
% 202.29/160.98 | Applying alpha-rule on (6908) yields:
% 202.29/160.98 | (6909) all_779_0_41195 = 0
% 202.29/160.98 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.29/160.98 |
% 202.29/160.98 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.29/160.98 | (109) all_33_0_34 = 0
% 202.29/160.98 |
% 202.29/160.98 | Equations (109) can reduce 72 to:
% 202.29/160.98 | (62) $false
% 202.29/160.98 |
% 202.29/160.98 |-The branch is then unsatisfiable
% 202.29/160.98 |-Branch two:
% 202.29/160.98 | (6913) ~ (all_779_0_41195 = 0) & environment(all_33_4_38) = all_779_0_41195
% 202.29/160.98 |
% 202.29/160.98 | Applying alpha-rule on (6913) yields:
% 202.29/160.98 | (6914) ~ (all_779_0_41195 = 0)
% 202.29/160.98 | (6915) environment(all_33_4_38) = all_779_0_41195
% 202.29/160.98 |
% 202.29/160.98 | Instantiating formula (35) with all_33_4_38, all_779_0_41195, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41195, environment(all_33_4_38) = 0, yields:
% 202.29/160.98 | (6909) all_779_0_41195 = 0
% 202.29/160.98 |
% 202.29/160.98 | Equations (6909) can reduce 6914 to:
% 202.29/160.98 | (62) $false
% 202.29/160.98 |
% 202.29/160.98 |-The branch is then unsatisfiable
% 202.29/160.98 |-Branch two:
% 202.29/160.98 | (6918) ~ (all_779_0_41195 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41195
% 202.29/160.98 |
% 202.29/160.98 | Applying alpha-rule on (6918) yields:
% 202.29/160.98 | (6914) ~ (all_779_0_41195 = 0)
% 202.29/160.98 | (6920) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41195
% 202.29/160.98 |
% 202.29/160.98 +-Applying beta-rule and splitting (6084), into two cases.
% 202.29/160.98 |-Branch one:
% 202.29/160.98 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.29/160.98 |
% 202.29/160.98 +-Applying beta-rule and splitting (6145), into two cases.
% 202.29/160.98 |-Branch one:
% 202.29/160.98 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.29/160.98 |
% 202.29/160.98 | Applying alpha-rule on (6146) yields:
% 202.29/160.98 | (6147) all_562_1_40879 = 0
% 202.29/160.98 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.29/160.98 |
% 202.29/160.98 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41195 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41195, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.29/160.99 | (6909) all_779_0_41195 = 0
% 202.29/160.99 |
% 202.29/160.99 | Equations (6909) can reduce 6914 to:
% 202.29/160.99 | (62) $false
% 202.29/160.99 |
% 202.29/160.99 |-The branch is then unsatisfiable
% 202.29/160.99 |-Branch two:
% 202.29/160.99 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.29/160.99 |
% 202.29/160.99 | Applying alpha-rule on (6151) yields:
% 202.29/160.99 | (6152) ~ (all_562_0_40878 = 0)
% 202.29/160.99 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.29/160.99 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.29/160.99 |
% 202.29/160.99 +-Applying beta-rule and splitting (6906), into two cases.
% 202.29/160.99 |-Branch one:
% 202.29/160.99 | (6931) (all_788_0_41211 = 0 & greater_or_equal(all_788_1_41212, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41212) | (all_788_0_41211 = 0 & greater(all_33_1_35, all_788_1_41212) = 0 & end_time(all_33_4_38) = all_788_1_41212)
% 202.29/160.99 |
% 202.29/160.99 +-Applying beta-rule and splitting (6931), into two cases.
% 202.29/160.99 |-Branch one:
% 202.29/160.99 | (6932) all_788_0_41211 = 0 & greater_or_equal(all_788_1_41212, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41212
% 202.29/160.99 |
% 202.29/160.99 | Applying alpha-rule on (6932) yields:
% 202.29/160.99 | (6933) all_788_0_41211 = 0
% 202.29/160.99 | (6934) greater_or_equal(all_788_1_41212, all_33_1_35) = 0
% 202.29/160.99 | (6935) end_time(all_33_4_38) = all_788_1_41212
% 202.29/160.99 |
% 202.29/160.99 | Instantiating formula (43) with all_33_4_38, all_788_1_41212, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41212, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.99 | (6936) all_788_1_41212 = all_33_1_35
% 202.29/160.99 |
% 202.29/160.99 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41212 and discharging atoms end_time(all_33_4_38) = all_788_1_41212, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.29/160.99 | (6937) all_788_1_41212 = all_562_1_40879
% 202.29/160.99 |
% 202.29/160.99 | Combining equations (6937,6936) yields a new equation:
% 202.29/160.99 | (6162) all_562_1_40879 = all_33_1_35
% 202.29/160.99 |
% 202.29/160.99 | Simplifying 6162 yields:
% 202.29/160.99 | (6163) all_562_1_40879 = all_33_1_35
% 202.29/160.99 |
% 202.29/160.99 | From (6936) and (6934) follows:
% 202.29/160.99 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.29/160.99 |
% 202.29/160.99 | From (6163) and (6153) follows:
% 202.29/160.99 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.29/160.99 |
% 202.29/160.99 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.29/160.99 | (6166) all_562_0_40878 = 0
% 202.29/160.99 |
% 202.29/160.99 | Equations (6166) can reduce 6152 to:
% 202.29/160.99 | (62) $false
% 202.29/160.99 |
% 202.29/160.99 |-The branch is then unsatisfiable
% 202.29/160.99 |-Branch two:
% 202.29/160.99 | (6944) all_788_0_41211 = 0 & greater(all_33_1_35, all_788_1_41212) = 0 & end_time(all_33_4_38) = all_788_1_41212
% 202.29/160.99 |
% 202.29/160.99 | Applying alpha-rule on (6944) yields:
% 202.29/160.99 | (6933) all_788_0_41211 = 0
% 202.29/160.99 | (6946) greater(all_33_1_35, all_788_1_41212) = 0
% 202.29/160.99 | (6935) end_time(all_33_4_38) = all_788_1_41212
% 202.29/160.99 |
% 202.29/160.99 | Instantiating formula (43) with all_33_4_38, all_788_1_41212, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41212, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/160.99 | (6936) all_788_1_41212 = all_33_1_35
% 202.29/160.99 |
% 202.29/160.99 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41212 and discharging atoms end_time(all_33_4_38) = all_788_1_41212, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.29/160.99 | (6937) all_788_1_41212 = all_562_1_40879
% 202.29/160.99 |
% 202.29/160.99 | Combining equations (6937,6936) yields a new equation:
% 202.29/160.99 | (6162) all_562_1_40879 = all_33_1_35
% 202.29/160.99 |
% 202.29/160.99 | Simplifying 6162 yields:
% 202.29/160.99 | (6163) all_562_1_40879 = all_33_1_35
% 202.29/160.99 |
% 202.29/160.99 | From (6163) and (6153) follows:
% 202.29/160.99 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.29/160.99 |
% 202.29/160.99 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.29/160.99 | (6166) all_562_0_40878 = 0
% 202.29/160.99 |
% 202.29/160.99 | Equations (6166) can reduce 6152 to:
% 202.29/160.99 | (62) $false
% 202.29/160.99 |
% 202.29/160.99 |-The branch is then unsatisfiable
% 202.29/160.99 |-Branch two:
% 202.29/160.99 | (6955) ~ (all_788_1_41212 = 0) & environment(all_33_4_38) = all_788_1_41212
% 202.29/160.99 |
% 202.29/160.99 | Applying alpha-rule on (6955) yields:
% 202.29/160.99 | (6956) ~ (all_788_1_41212 = 0)
% 202.29/160.99 | (6957) environment(all_33_4_38) = all_788_1_41212
% 202.29/160.99 |
% 202.29/160.99 | Instantiating formula (35) with all_33_4_38, all_788_1_41212, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41212, environment(all_33_4_38) = 0, yields:
% 202.29/160.99 | (6958) all_788_1_41212 = 0
% 202.29/160.99 |
% 202.29/161.00 | Equations (6958) can reduce 6956 to:
% 202.29/161.00 | (62) $false
% 202.29/161.00 |
% 202.29/161.00 |-The branch is then unsatisfiable
% 202.29/161.00 |-Branch two:
% 202.29/161.00 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.29/161.00 |
% 202.29/161.00 | Applying alpha-rule on (6184) yields:
% 202.29/161.00 | (6185) ~ (all_562_1_40879 = 0)
% 202.29/161.00 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.29/161.00 |
% 202.29/161.00 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.29/161.00 | (6147) all_562_1_40879 = 0
% 202.29/161.00 |
% 202.29/161.00 | Equations (6147) can reduce 6185 to:
% 202.29/161.00 | (62) $false
% 202.29/161.00 |
% 202.29/161.00 |-The branch is then unsatisfiable
% 202.29/161.00 |-Branch two:
% 202.29/161.00 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.29/161.00 |
% 202.29/161.00 | Applying alpha-rule on (6189) yields:
% 202.29/161.00 | (6122) all_450_0_40845 = 0
% 202.29/161.00 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 202.29/161.00 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.29/161.00 |
% 202.29/161.00 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/161.00 | (6125) all_450_1_40846 = all_33_1_35
% 202.29/161.00 |
% 202.29/161.00 | From (6125) and (6124) follows:
% 202.29/161.00 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.29/161.00 |
% 202.29/161.00 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.29/161.00 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.29/161.00 |
% 202.29/161.00 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.29/161.00 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.29/161.00 |
% 202.29/161.00 | Instantiating (287) with all_783_0_41232 yields:
% 202.29/161.00 | (6973) (all_783_0_41232 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41232 = 0) & environment(all_33_4_38) = all_783_0_41232) | ( ~ (all_783_0_41232 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41232)
% 202.29/161.00 |
% 202.29/161.00 | Instantiating (6127) with all_784_0_41233, all_784_1_41234 yields:
% 202.29/161.00 | (6974) (all_784_0_41233 = 0 & greater_or_equal(all_784_1_41234, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41234) | (all_784_0_41233 = 0 & greater(all_33_1_35, all_784_1_41234) = 0 & end_time(all_33_4_38) = all_784_1_41234) | ( ~ (all_784_1_41234 = 0) & environment(all_33_4_38) = all_784_1_41234)
% 202.29/161.00 |
% 202.29/161.00 +-Applying beta-rule and splitting (6973), into two cases.
% 202.29/161.00 |-Branch one:
% 202.29/161.00 | (6975) (all_783_0_41232 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41232 = 0) & environment(all_33_4_38) = all_783_0_41232)
% 202.29/161.00 |
% 202.29/161.00 +-Applying beta-rule and splitting (6975), into two cases.
% 202.29/161.00 |-Branch one:
% 202.29/161.00 | (6976) all_783_0_41232 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.29/161.00 |
% 202.29/161.00 | Applying alpha-rule on (6976) yields:
% 202.29/161.00 | (6977) all_783_0_41232 = 0
% 202.29/161.00 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.29/161.00 |
% 202.29/161.00 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.29/161.00 | (109) all_33_0_34 = 0
% 202.29/161.00 |
% 202.29/161.00 | Equations (109) can reduce 72 to:
% 202.29/161.00 | (62) $false
% 202.29/161.00 |
% 202.29/161.00 |-The branch is then unsatisfiable
% 202.29/161.00 |-Branch two:
% 202.29/161.00 | (6981) ~ (all_783_0_41232 = 0) & environment(all_33_4_38) = all_783_0_41232
% 202.29/161.00 |
% 202.29/161.00 | Applying alpha-rule on (6981) yields:
% 202.29/161.00 | (6982) ~ (all_783_0_41232 = 0)
% 202.29/161.00 | (6983) environment(all_33_4_38) = all_783_0_41232
% 202.29/161.00 |
% 202.29/161.00 | Instantiating formula (35) with all_33_4_38, all_783_0_41232, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41232, environment(all_33_4_38) = 0, yields:
% 202.29/161.00 | (6977) all_783_0_41232 = 0
% 202.29/161.00 |
% 202.29/161.00 | Equations (6977) can reduce 6982 to:
% 202.29/161.00 | (62) $false
% 202.29/161.00 |
% 202.29/161.00 |-The branch is then unsatisfiable
% 202.29/161.00 |-Branch two:
% 202.29/161.00 | (6986) ~ (all_783_0_41232 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41232
% 202.29/161.00 |
% 202.29/161.00 | Applying alpha-rule on (6986) yields:
% 202.29/161.00 | (6982) ~ (all_783_0_41232 = 0)
% 202.29/161.00 | (6988) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41232
% 202.29/161.00 |
% 202.29/161.00 +-Applying beta-rule and splitting (6084), into two cases.
% 202.29/161.00 |-Branch one:
% 202.29/161.00 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.29/161.00 |
% 202.29/161.00 +-Applying beta-rule and splitting (6145), into two cases.
% 202.29/161.00 |-Branch one:
% 202.29/161.00 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.29/161.00 |
% 202.29/161.00 | Applying alpha-rule on (6146) yields:
% 202.29/161.00 | (6147) all_562_1_40879 = 0
% 202.29/161.00 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.29/161.00 |
% 202.29/161.00 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41232 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41232, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.29/161.00 | (6977) all_783_0_41232 = 0
% 202.29/161.00 |
% 202.29/161.00 | Equations (6977) can reduce 6982 to:
% 202.29/161.00 | (62) $false
% 202.29/161.00 |
% 202.29/161.00 |-The branch is then unsatisfiable
% 202.29/161.00 |-Branch two:
% 202.29/161.00 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.29/161.00 |
% 202.29/161.00 | Applying alpha-rule on (6151) yields:
% 202.29/161.01 | (6152) ~ (all_562_0_40878 = 0)
% 202.29/161.01 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.29/161.01 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.29/161.01 |
% 202.29/161.01 +-Applying beta-rule and splitting (6974), into two cases.
% 202.29/161.01 |-Branch one:
% 202.29/161.01 | (6999) (all_784_0_41233 = 0 & greater_or_equal(all_784_1_41234, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41234) | (all_784_0_41233 = 0 & greater(all_33_1_35, all_784_1_41234) = 0 & end_time(all_33_4_38) = all_784_1_41234)
% 202.29/161.01 |
% 202.29/161.01 +-Applying beta-rule and splitting (6999), into two cases.
% 202.29/161.01 |-Branch one:
% 202.29/161.01 | (7000) all_784_0_41233 = 0 & greater_or_equal(all_784_1_41234, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41234
% 202.29/161.01 |
% 202.29/161.01 | Applying alpha-rule on (7000) yields:
% 202.29/161.01 | (7001) all_784_0_41233 = 0
% 202.29/161.01 | (7002) greater_or_equal(all_784_1_41234, all_33_1_35) = 0
% 202.29/161.01 | (7003) end_time(all_33_4_38) = all_784_1_41234
% 202.29/161.01 |
% 202.29/161.01 | Instantiating formula (43) with all_33_4_38, all_784_1_41234, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41234, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/161.01 | (7004) all_784_1_41234 = all_33_1_35
% 202.29/161.01 |
% 202.29/161.01 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41234 and discharging atoms end_time(all_33_4_38) = all_784_1_41234, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.29/161.01 | (7005) all_784_1_41234 = all_562_1_40879
% 202.29/161.01 |
% 202.29/161.01 | Combining equations (7005,7004) yields a new equation:
% 202.29/161.01 | (6162) all_562_1_40879 = all_33_1_35
% 202.29/161.01 |
% 202.29/161.01 | Simplifying 6162 yields:
% 202.29/161.01 | (6163) all_562_1_40879 = all_33_1_35
% 202.29/161.01 |
% 202.29/161.01 | From (7004) and (7002) follows:
% 202.29/161.01 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.29/161.01 |
% 202.29/161.01 | From (6163) and (6153) follows:
% 202.29/161.01 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.29/161.01 |
% 202.29/161.01 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.29/161.01 | (6166) all_562_0_40878 = 0
% 202.29/161.01 |
% 202.29/161.01 | Equations (6166) can reduce 6152 to:
% 202.29/161.01 | (62) $false
% 202.29/161.01 |
% 202.29/161.01 |-The branch is then unsatisfiable
% 202.29/161.01 |-Branch two:
% 202.29/161.01 | (7012) all_784_0_41233 = 0 & greater(all_33_1_35, all_784_1_41234) = 0 & end_time(all_33_4_38) = all_784_1_41234
% 202.29/161.01 |
% 202.29/161.01 | Applying alpha-rule on (7012) yields:
% 202.29/161.01 | (7001) all_784_0_41233 = 0
% 202.29/161.01 | (7014) greater(all_33_1_35, all_784_1_41234) = 0
% 202.29/161.01 | (7003) end_time(all_33_4_38) = all_784_1_41234
% 202.29/161.01 |
% 202.29/161.01 | Instantiating formula (43) with all_33_4_38, all_784_1_41234, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41234, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.29/161.01 | (7004) all_784_1_41234 = all_33_1_35
% 202.29/161.01 |
% 202.29/161.01 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41234 and discharging atoms end_time(all_33_4_38) = all_784_1_41234, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.29/161.01 | (7005) all_784_1_41234 = all_562_1_40879
% 202.29/161.01 |
% 202.29/161.01 | Combining equations (7005,7004) yields a new equation:
% 202.29/161.01 | (6162) all_562_1_40879 = all_33_1_35
% 202.29/161.01 |
% 202.29/161.01 | Simplifying 6162 yields:
% 202.29/161.01 | (6163) all_562_1_40879 = all_33_1_35
% 202.29/161.01 |
% 202.29/161.01 | From (6163) and (6153) follows:
% 202.29/161.01 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.29/161.01 |
% 202.29/161.01 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.29/161.01 | (6166) all_562_0_40878 = 0
% 202.29/161.01 |
% 202.29/161.01 | Equations (6166) can reduce 6152 to:
% 202.29/161.01 | (62) $false
% 202.29/161.01 |
% 202.29/161.01 |-The branch is then unsatisfiable
% 202.29/161.01 |-Branch two:
% 202.29/161.01 | (7023) ~ (all_784_1_41234 = 0) & environment(all_33_4_38) = all_784_1_41234
% 202.29/161.01 |
% 202.29/161.01 | Applying alpha-rule on (7023) yields:
% 202.29/161.01 | (7024) ~ (all_784_1_41234 = 0)
% 202.29/161.01 | (7025) environment(all_33_4_38) = all_784_1_41234
% 202.29/161.01 |
% 202.29/161.01 | Instantiating formula (35) with all_33_4_38, all_784_1_41234, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41234, environment(all_33_4_38) = 0, yields:
% 202.29/161.01 | (7026) all_784_1_41234 = 0
% 202.29/161.01 |
% 202.59/161.02 | Equations (7026) can reduce 7024 to:
% 202.59/161.02 | (62) $false
% 202.59/161.02 |
% 202.59/161.02 |-The branch is then unsatisfiable
% 202.59/161.02 |-Branch two:
% 202.59/161.02 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.59/161.02 |
% 202.59/161.02 | Applying alpha-rule on (6184) yields:
% 202.59/161.02 | (6185) ~ (all_562_1_40879 = 0)
% 202.59/161.02 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.59/161.02 |
% 202.59/161.02 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.59/161.02 | (6147) all_562_1_40879 = 0
% 202.59/161.02 |
% 202.59/161.02 | Equations (6147) can reduce 6185 to:
% 202.59/161.02 | (62) $false
% 202.59/161.02 |
% 202.59/161.02 |-The branch is then unsatisfiable
% 202.59/161.02 |-Branch two:
% 202.59/161.02 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 202.59/161.02 |
% 202.59/161.02 | Applying alpha-rule on (6257) yields:
% 202.59/161.02 | (6258) ~ (all_450_1_40846 = 0)
% 202.59/161.02 | (6259) environment(all_33_4_38) = all_450_1_40846
% 202.59/161.02 |
% 202.59/161.02 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 202.59/161.02 | (6260) all_450_1_40846 = 0
% 202.59/161.02 |
% 202.59/161.02 | Equations (6260) can reduce 6258 to:
% 202.59/161.02 | (62) $false
% 202.59/161.02 |
% 202.59/161.02 |-The branch is then unsatisfiable
% 202.59/161.02 |-Branch two:
% 202.59/161.02 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 202.59/161.02 |
% 202.59/161.02 | Applying alpha-rule on (6410) yields:
% 202.59/161.02 | (6411) ~ (all_449_1_40844 = 0)
% 202.59/161.02 | (6412) environment(all_33_4_38) = all_449_1_40844
% 202.59/161.02 |
% 202.59/161.02 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 202.59/161.02 | (6413) all_449_1_40844 = 0
% 202.59/161.02 |
% 202.59/161.02 | Equations (6413) can reduce 6411 to:
% 202.59/161.02 | (62) $false
% 202.59/161.02 |
% 202.59/161.02 |-The branch is then unsatisfiable
% 202.59/161.02 |-Branch two:
% 202.59/161.02 | (6415) all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 202.59/161.02 |
% 202.59/161.02 | Applying alpha-rule on (6415) yields:
% 202.59/161.02 | (6108) all_448_0_40841 = 0
% 202.59/161.02 | (6417) greater(all_114_2_98, all_448_1_40842) = 0
% 202.59/161.02 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 202.59/161.02 |
% 202.59/161.02 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.02 | (6111) all_448_1_40842 = all_33_1_35
% 202.59/161.02 |
% 202.59/161.02 | From (6111) and (6110) follows:
% 202.59/161.02 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.59/161.02 |
% 202.59/161.02 +-Applying beta-rule and splitting (6072), into two cases.
% 202.59/161.02 |-Branch one:
% 202.59/161.02 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 202.59/161.02 |
% 202.59/161.02 +-Applying beta-rule and splitting (6113), into two cases.
% 202.59/161.02 |-Branch one:
% 202.59/161.02 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 202.59/161.02 |
% 202.59/161.02 | Applying alpha-rule on (6114) yields:
% 202.59/161.02 | (6115) all_449_0_40843 = 0
% 202.59/161.02 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 202.59/161.02 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 202.59/161.02 |
% 202.59/161.02 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.02 | (6118) all_449_1_40844 = all_33_1_35
% 202.59/161.02 |
% 202.59/161.02 | From (6118) and (6117) follows:
% 202.59/161.02 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.59/161.02 |
% 202.59/161.02 +-Applying beta-rule and splitting (6073), into two cases.
% 202.59/161.02 |-Branch one:
% 202.59/161.02 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 202.59/161.02 |
% 202.59/161.02 +-Applying beta-rule and splitting (6120), into two cases.
% 202.59/161.02 |-Branch one:
% 202.59/161.02 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.59/161.02 |
% 202.59/161.03 | Applying alpha-rule on (6121) yields:
% 202.59/161.03 | (6122) all_450_0_40845 = 0
% 202.59/161.03 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 202.59/161.03 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.59/161.03 |
% 202.59/161.03 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.03 | (6125) all_450_1_40846 = all_33_1_35
% 202.59/161.03 |
% 202.59/161.03 | From (6125) and (6124) follows:
% 202.59/161.03 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.59/161.03 |
% 202.59/161.03 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.59/161.03 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.59/161.03 |
% 202.59/161.03 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.59/161.03 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.59/161.03 |
% 202.59/161.03 | Instantiating (287) with all_779_0_41255 yields:
% 202.59/161.03 | (7065) (all_779_0_41255 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41255 = 0) & environment(all_33_4_38) = all_779_0_41255) | ( ~ (all_779_0_41255 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41255)
% 202.59/161.03 |
% 202.59/161.03 | Instantiating (6127) with all_788_0_41271, all_788_1_41272 yields:
% 202.59/161.03 | (7066) (all_788_0_41271 = 0 & greater_or_equal(all_788_1_41272, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41272) | (all_788_0_41271 = 0 & greater(all_33_1_35, all_788_1_41272) = 0 & end_time(all_33_4_38) = all_788_1_41272) | ( ~ (all_788_1_41272 = 0) & environment(all_33_4_38) = all_788_1_41272)
% 202.59/161.03 |
% 202.59/161.03 +-Applying beta-rule and splitting (7065), into two cases.
% 202.59/161.03 |-Branch one:
% 202.59/161.03 | (7067) (all_779_0_41255 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41255 = 0) & environment(all_33_4_38) = all_779_0_41255)
% 202.59/161.03 |
% 202.59/161.03 +-Applying beta-rule and splitting (7067), into two cases.
% 202.59/161.03 |-Branch one:
% 202.59/161.03 | (7068) all_779_0_41255 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.59/161.03 |
% 202.59/161.03 | Applying alpha-rule on (7068) yields:
% 202.59/161.03 | (7069) all_779_0_41255 = 0
% 202.59/161.03 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.59/161.03 |
% 202.59/161.03 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.59/161.03 | (109) all_33_0_34 = 0
% 202.59/161.03 |
% 202.59/161.03 | Equations (109) can reduce 72 to:
% 202.59/161.03 | (62) $false
% 202.59/161.03 |
% 202.59/161.03 |-The branch is then unsatisfiable
% 202.59/161.03 |-Branch two:
% 202.59/161.03 | (7073) ~ (all_779_0_41255 = 0) & environment(all_33_4_38) = all_779_0_41255
% 202.59/161.03 |
% 202.59/161.03 | Applying alpha-rule on (7073) yields:
% 202.59/161.03 | (7074) ~ (all_779_0_41255 = 0)
% 202.59/161.03 | (7075) environment(all_33_4_38) = all_779_0_41255
% 202.59/161.03 |
% 202.59/161.03 | Instantiating formula (35) with all_33_4_38, all_779_0_41255, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41255, environment(all_33_4_38) = 0, yields:
% 202.59/161.03 | (7069) all_779_0_41255 = 0
% 202.59/161.03 |
% 202.59/161.03 | Equations (7069) can reduce 7074 to:
% 202.59/161.03 | (62) $false
% 202.59/161.03 |
% 202.59/161.03 |-The branch is then unsatisfiable
% 202.59/161.03 |-Branch two:
% 202.59/161.03 | (7078) ~ (all_779_0_41255 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41255
% 202.59/161.03 |
% 202.59/161.03 | Applying alpha-rule on (7078) yields:
% 202.59/161.03 | (7074) ~ (all_779_0_41255 = 0)
% 202.59/161.03 | (7080) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41255
% 202.59/161.03 |
% 202.59/161.03 +-Applying beta-rule and splitting (6084), into two cases.
% 202.59/161.03 |-Branch one:
% 202.59/161.03 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.59/161.03 |
% 202.59/161.03 +-Applying beta-rule and splitting (6145), into two cases.
% 202.59/161.03 |-Branch one:
% 202.59/161.03 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.59/161.03 |
% 202.59/161.03 | Applying alpha-rule on (6146) yields:
% 202.59/161.03 | (6147) all_562_1_40879 = 0
% 202.59/161.03 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.59/161.03 |
% 202.59/161.03 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41255 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41255, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.59/161.03 | (7069) all_779_0_41255 = 0
% 202.59/161.03 |
% 202.59/161.03 | Equations (7069) can reduce 7074 to:
% 202.59/161.03 | (62) $false
% 202.59/161.03 |
% 202.59/161.03 |-The branch is then unsatisfiable
% 202.59/161.03 |-Branch two:
% 202.59/161.03 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.59/161.03 |
% 202.59/161.03 | Applying alpha-rule on (6151) yields:
% 202.59/161.03 | (6152) ~ (all_562_0_40878 = 0)
% 202.59/161.03 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.59/161.03 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.59/161.03 |
% 202.59/161.03 +-Applying beta-rule and splitting (7066), into two cases.
% 202.59/161.03 |-Branch one:
% 202.59/161.03 | (7091) (all_788_0_41271 = 0 & greater_or_equal(all_788_1_41272, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41272) | (all_788_0_41271 = 0 & greater(all_33_1_35, all_788_1_41272) = 0 & end_time(all_33_4_38) = all_788_1_41272)
% 202.59/161.03 |
% 202.59/161.03 +-Applying beta-rule and splitting (7091), into two cases.
% 202.59/161.03 |-Branch one:
% 202.59/161.03 | (7092) all_788_0_41271 = 0 & greater_or_equal(all_788_1_41272, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41272
% 202.59/161.03 |
% 202.59/161.03 | Applying alpha-rule on (7092) yields:
% 202.59/161.03 | (7093) all_788_0_41271 = 0
% 202.59/161.04 | (7094) greater_or_equal(all_788_1_41272, all_33_1_35) = 0
% 202.59/161.04 | (7095) end_time(all_33_4_38) = all_788_1_41272
% 202.59/161.04 |
% 202.59/161.04 | Instantiating formula (43) with all_33_4_38, all_788_1_41272, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41272, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.04 | (7096) all_788_1_41272 = all_33_1_35
% 202.59/161.04 |
% 202.59/161.04 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41272 and discharging atoms end_time(all_33_4_38) = all_788_1_41272, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.59/161.04 | (7097) all_788_1_41272 = all_562_1_40879
% 202.59/161.04 |
% 202.59/161.04 | Combining equations (7097,7096) yields a new equation:
% 202.59/161.04 | (6162) all_562_1_40879 = all_33_1_35
% 202.59/161.04 |
% 202.59/161.04 | Simplifying 6162 yields:
% 202.59/161.04 | (6163) all_562_1_40879 = all_33_1_35
% 202.59/161.04 |
% 202.59/161.04 | From (7096) and (7094) follows:
% 202.59/161.04 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.59/161.04 |
% 202.59/161.04 | From (6163) and (6153) follows:
% 202.59/161.04 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.59/161.04 |
% 202.59/161.04 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.59/161.04 | (6166) all_562_0_40878 = 0
% 202.59/161.04 |
% 202.59/161.04 | Equations (6166) can reduce 6152 to:
% 202.59/161.04 | (62) $false
% 202.59/161.04 |
% 202.59/161.04 |-The branch is then unsatisfiable
% 202.59/161.04 |-Branch two:
% 202.59/161.04 | (7104) all_788_0_41271 = 0 & greater(all_33_1_35, all_788_1_41272) = 0 & end_time(all_33_4_38) = all_788_1_41272
% 202.59/161.04 |
% 202.59/161.04 | Applying alpha-rule on (7104) yields:
% 202.59/161.04 | (7093) all_788_0_41271 = 0
% 202.59/161.04 | (7106) greater(all_33_1_35, all_788_1_41272) = 0
% 202.59/161.04 | (7095) end_time(all_33_4_38) = all_788_1_41272
% 202.59/161.04 |
% 202.59/161.04 | Instantiating formula (43) with all_33_4_38, all_788_1_41272, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41272, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.04 | (7096) all_788_1_41272 = all_33_1_35
% 202.59/161.04 |
% 202.59/161.04 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41272 and discharging atoms end_time(all_33_4_38) = all_788_1_41272, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.59/161.04 | (7097) all_788_1_41272 = all_562_1_40879
% 202.59/161.04 |
% 202.59/161.04 | Combining equations (7097,7096) yields a new equation:
% 202.59/161.04 | (6162) all_562_1_40879 = all_33_1_35
% 202.59/161.04 |
% 202.59/161.04 | Simplifying 6162 yields:
% 202.59/161.04 | (6163) all_562_1_40879 = all_33_1_35
% 202.59/161.04 |
% 202.59/161.04 | From (6163) and (6153) follows:
% 202.59/161.04 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.59/161.04 |
% 202.59/161.04 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.59/161.04 | (6166) all_562_0_40878 = 0
% 202.59/161.04 |
% 202.59/161.04 | Equations (6166) can reduce 6152 to:
% 202.59/161.04 | (62) $false
% 202.59/161.04 |
% 202.59/161.04 |-The branch is then unsatisfiable
% 202.59/161.04 |-Branch two:
% 202.59/161.04 | (7115) ~ (all_788_1_41272 = 0) & environment(all_33_4_38) = all_788_1_41272
% 202.59/161.04 |
% 202.59/161.04 | Applying alpha-rule on (7115) yields:
% 202.59/161.04 | (7116) ~ (all_788_1_41272 = 0)
% 202.59/161.04 | (7117) environment(all_33_4_38) = all_788_1_41272
% 202.59/161.04 |
% 202.59/161.04 | Instantiating formula (35) with all_33_4_38, all_788_1_41272, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41272, environment(all_33_4_38) = 0, yields:
% 202.59/161.04 | (7118) all_788_1_41272 = 0
% 202.59/161.04 |
% 202.59/161.04 | Equations (7118) can reduce 7116 to:
% 202.59/161.04 | (62) $false
% 202.59/161.04 |
% 202.59/161.04 |-The branch is then unsatisfiable
% 202.59/161.04 |-Branch two:
% 202.59/161.04 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.59/161.04 |
% 202.59/161.04 | Applying alpha-rule on (6184) yields:
% 202.59/161.04 | (6185) ~ (all_562_1_40879 = 0)
% 202.59/161.04 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.59/161.04 |
% 202.59/161.04 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.59/161.04 | (6147) all_562_1_40879 = 0
% 202.59/161.04 |
% 202.59/161.04 | Equations (6147) can reduce 6185 to:
% 202.59/161.04 | (62) $false
% 202.59/161.04 |
% 202.59/161.04 |-The branch is then unsatisfiable
% 202.59/161.05 |-Branch two:
% 202.59/161.05 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.59/161.05 |
% 202.59/161.05 | Applying alpha-rule on (6189) yields:
% 202.59/161.05 | (6122) all_450_0_40845 = 0
% 202.59/161.05 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 202.59/161.05 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.59/161.05 |
% 202.59/161.05 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.05 | (6125) all_450_1_40846 = all_33_1_35
% 202.59/161.05 |
% 202.59/161.05 | From (6125) and (6124) follows:
% 202.59/161.05 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.59/161.05 |
% 202.59/161.05 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.59/161.05 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.59/161.05 |
% 202.59/161.05 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.59/161.05 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.59/161.05 |
% 202.59/161.05 | Instantiating (287) with all_783_0_41292 yields:
% 202.59/161.05 | (7133) (all_783_0_41292 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41292 = 0) & environment(all_33_4_38) = all_783_0_41292) | ( ~ (all_783_0_41292 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41292)
% 202.59/161.05 |
% 202.59/161.05 | Instantiating (6127) with all_784_0_41293, all_784_1_41294 yields:
% 202.59/161.05 | (7134) (all_784_0_41293 = 0 & greater_or_equal(all_784_1_41294, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41294) | (all_784_0_41293 = 0 & greater(all_33_1_35, all_784_1_41294) = 0 & end_time(all_33_4_38) = all_784_1_41294) | ( ~ (all_784_1_41294 = 0) & environment(all_33_4_38) = all_784_1_41294)
% 202.59/161.05 |
% 202.59/161.05 +-Applying beta-rule and splitting (7133), into two cases.
% 202.59/161.05 |-Branch one:
% 202.59/161.05 | (7135) (all_783_0_41292 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41292 = 0) & environment(all_33_4_38) = all_783_0_41292)
% 202.59/161.05 |
% 202.59/161.05 +-Applying beta-rule and splitting (7135), into two cases.
% 202.59/161.05 |-Branch one:
% 202.59/161.05 | (7136) all_783_0_41292 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.59/161.05 |
% 202.59/161.05 | Applying alpha-rule on (7136) yields:
% 202.59/161.05 | (7137) all_783_0_41292 = 0
% 202.59/161.05 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.59/161.05 |
% 202.59/161.05 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.59/161.05 | (109) all_33_0_34 = 0
% 202.59/161.05 |
% 202.59/161.05 | Equations (109) can reduce 72 to:
% 202.59/161.05 | (62) $false
% 202.59/161.05 |
% 202.59/161.05 |-The branch is then unsatisfiable
% 202.59/161.05 |-Branch two:
% 202.59/161.05 | (7141) ~ (all_783_0_41292 = 0) & environment(all_33_4_38) = all_783_0_41292
% 202.59/161.05 |
% 202.59/161.05 | Applying alpha-rule on (7141) yields:
% 202.59/161.05 | (7142) ~ (all_783_0_41292 = 0)
% 202.59/161.05 | (7143) environment(all_33_4_38) = all_783_0_41292
% 202.59/161.05 |
% 202.59/161.05 | Instantiating formula (35) with all_33_4_38, all_783_0_41292, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41292, environment(all_33_4_38) = 0, yields:
% 202.59/161.05 | (7137) all_783_0_41292 = 0
% 202.59/161.05 |
% 202.59/161.05 | Equations (7137) can reduce 7142 to:
% 202.59/161.05 | (62) $false
% 202.59/161.05 |
% 202.59/161.05 |-The branch is then unsatisfiable
% 202.59/161.05 |-Branch two:
% 202.59/161.05 | (7146) ~ (all_783_0_41292 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41292
% 202.59/161.05 |
% 202.59/161.05 | Applying alpha-rule on (7146) yields:
% 202.59/161.05 | (7142) ~ (all_783_0_41292 = 0)
% 202.59/161.05 | (7148) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41292
% 202.59/161.05 |
% 202.59/161.05 +-Applying beta-rule and splitting (6084), into two cases.
% 202.59/161.05 |-Branch one:
% 202.59/161.05 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.59/161.05 |
% 202.59/161.05 +-Applying beta-rule and splitting (6145), into two cases.
% 202.59/161.05 |-Branch one:
% 202.59/161.05 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.59/161.05 |
% 202.59/161.05 | Applying alpha-rule on (6146) yields:
% 202.59/161.05 | (6147) all_562_1_40879 = 0
% 202.59/161.05 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.59/161.05 |
% 202.59/161.05 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41292 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41292, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.59/161.05 | (7137) all_783_0_41292 = 0
% 202.59/161.05 |
% 202.59/161.05 | Equations (7137) can reduce 7142 to:
% 202.59/161.05 | (62) $false
% 202.59/161.05 |
% 202.59/161.05 |-The branch is then unsatisfiable
% 202.59/161.05 |-Branch two:
% 202.59/161.05 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.59/161.05 |
% 202.59/161.05 | Applying alpha-rule on (6151) yields:
% 202.59/161.05 | (6152) ~ (all_562_0_40878 = 0)
% 202.59/161.05 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.59/161.05 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.59/161.05 |
% 202.59/161.05 +-Applying beta-rule and splitting (7134), into two cases.
% 202.59/161.05 |-Branch one:
% 202.59/161.05 | (7159) (all_784_0_41293 = 0 & greater_or_equal(all_784_1_41294, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41294) | (all_784_0_41293 = 0 & greater(all_33_1_35, all_784_1_41294) = 0 & end_time(all_33_4_38) = all_784_1_41294)
% 202.59/161.05 |
% 202.59/161.05 +-Applying beta-rule and splitting (7159), into two cases.
% 202.59/161.05 |-Branch one:
% 202.59/161.05 | (7160) all_784_0_41293 = 0 & greater_or_equal(all_784_1_41294, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41294
% 202.59/161.05 |
% 202.59/161.06 | Applying alpha-rule on (7160) yields:
% 202.59/161.06 | (7161) all_784_0_41293 = 0
% 202.59/161.06 | (7162) greater_or_equal(all_784_1_41294, all_33_1_35) = 0
% 202.59/161.06 | (7163) end_time(all_33_4_38) = all_784_1_41294
% 202.59/161.06 |
% 202.59/161.06 | Instantiating formula (43) with all_33_4_38, all_784_1_41294, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41294, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.06 | (7164) all_784_1_41294 = all_33_1_35
% 202.59/161.06 |
% 202.59/161.06 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41294 and discharging atoms end_time(all_33_4_38) = all_784_1_41294, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.59/161.06 | (7165) all_784_1_41294 = all_562_1_40879
% 202.59/161.06 |
% 202.59/161.06 | Combining equations (7165,7164) yields a new equation:
% 202.59/161.06 | (6162) all_562_1_40879 = all_33_1_35
% 202.59/161.06 |
% 202.59/161.06 | Simplifying 6162 yields:
% 202.59/161.06 | (6163) all_562_1_40879 = all_33_1_35
% 202.59/161.06 |
% 202.59/161.06 | From (7164) and (7162) follows:
% 202.59/161.06 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.59/161.06 |
% 202.59/161.06 | From (6163) and (6153) follows:
% 202.59/161.06 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.59/161.06 |
% 202.59/161.06 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.59/161.06 | (6166) all_562_0_40878 = 0
% 202.59/161.06 |
% 202.59/161.06 | Equations (6166) can reduce 6152 to:
% 202.59/161.06 | (62) $false
% 202.59/161.06 |
% 202.59/161.06 |-The branch is then unsatisfiable
% 202.59/161.06 |-Branch two:
% 202.59/161.06 | (7172) all_784_0_41293 = 0 & greater(all_33_1_35, all_784_1_41294) = 0 & end_time(all_33_4_38) = all_784_1_41294
% 202.59/161.06 |
% 202.59/161.06 | Applying alpha-rule on (7172) yields:
% 202.59/161.06 | (7161) all_784_0_41293 = 0
% 202.59/161.06 | (7174) greater(all_33_1_35, all_784_1_41294) = 0
% 202.59/161.06 | (7163) end_time(all_33_4_38) = all_784_1_41294
% 202.59/161.06 |
% 202.59/161.06 | Instantiating formula (43) with all_33_4_38, all_784_1_41294, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41294, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.06 | (7164) all_784_1_41294 = all_33_1_35
% 202.59/161.06 |
% 202.59/161.06 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41294 and discharging atoms end_time(all_33_4_38) = all_784_1_41294, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.59/161.06 | (7165) all_784_1_41294 = all_562_1_40879
% 202.59/161.06 |
% 202.59/161.06 | Combining equations (7165,7164) yields a new equation:
% 202.59/161.06 | (6162) all_562_1_40879 = all_33_1_35
% 202.59/161.06 |
% 202.59/161.06 | Simplifying 6162 yields:
% 202.59/161.06 | (6163) all_562_1_40879 = all_33_1_35
% 202.59/161.06 |
% 202.59/161.06 | From (6163) and (6153) follows:
% 202.59/161.06 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.59/161.06 |
% 202.59/161.06 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.59/161.06 | (6166) all_562_0_40878 = 0
% 202.59/161.06 |
% 202.59/161.06 | Equations (6166) can reduce 6152 to:
% 202.59/161.06 | (62) $false
% 202.59/161.06 |
% 202.59/161.06 |-The branch is then unsatisfiable
% 202.59/161.06 |-Branch two:
% 202.59/161.06 | (7183) ~ (all_784_1_41294 = 0) & environment(all_33_4_38) = all_784_1_41294
% 202.59/161.06 |
% 202.59/161.06 | Applying alpha-rule on (7183) yields:
% 202.59/161.06 | (7184) ~ (all_784_1_41294 = 0)
% 202.59/161.06 | (7185) environment(all_33_4_38) = all_784_1_41294
% 202.59/161.06 |
% 202.59/161.06 | Instantiating formula (35) with all_33_4_38, all_784_1_41294, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41294, environment(all_33_4_38) = 0, yields:
% 202.59/161.06 | (7186) all_784_1_41294 = 0
% 202.59/161.06 |
% 202.59/161.06 | Equations (7186) can reduce 7184 to:
% 202.59/161.06 | (62) $false
% 202.59/161.06 |
% 202.59/161.06 |-The branch is then unsatisfiable
% 202.59/161.06 |-Branch two:
% 202.59/161.06 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.59/161.06 |
% 202.59/161.06 | Applying alpha-rule on (6184) yields:
% 202.59/161.06 | (6185) ~ (all_562_1_40879 = 0)
% 202.59/161.06 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.59/161.06 |
% 202.59/161.06 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.59/161.06 | (6147) all_562_1_40879 = 0
% 202.59/161.06 |
% 202.59/161.07 | Equations (6147) can reduce 6185 to:
% 202.59/161.07 | (62) $false
% 202.59/161.07 |
% 202.59/161.07 |-The branch is then unsatisfiable
% 202.59/161.07 |-Branch two:
% 202.59/161.07 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 202.59/161.07 |
% 202.59/161.07 | Applying alpha-rule on (6257) yields:
% 202.59/161.07 | (6258) ~ (all_450_1_40846 = 0)
% 202.59/161.07 | (6259) environment(all_33_4_38) = all_450_1_40846
% 202.59/161.07 |
% 202.59/161.07 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 202.59/161.07 | (6260) all_450_1_40846 = 0
% 202.59/161.07 |
% 202.59/161.07 | Equations (6260) can reduce 6258 to:
% 202.59/161.07 | (62) $false
% 202.59/161.07 |
% 202.59/161.07 |-The branch is then unsatisfiable
% 202.59/161.07 |-Branch two:
% 202.59/161.07 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 202.59/161.07 |
% 202.59/161.07 | Applying alpha-rule on (6262) yields:
% 202.59/161.07 | (6115) all_449_0_40843 = 0
% 202.59/161.07 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 202.59/161.07 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 202.59/161.07 |
% 202.59/161.07 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.07 | (6118) all_449_1_40844 = all_33_1_35
% 202.59/161.07 |
% 202.59/161.07 | From (6118) and (6117) follows:
% 202.59/161.07 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.59/161.07 |
% 202.59/161.07 +-Applying beta-rule and splitting (6073), into two cases.
% 202.59/161.07 |-Branch one:
% 202.59/161.07 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 202.59/161.07 |
% 202.59/161.07 +-Applying beta-rule and splitting (6120), into two cases.
% 202.59/161.07 |-Branch one:
% 202.59/161.07 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.59/161.07 |
% 202.59/161.07 | Applying alpha-rule on (6121) yields:
% 202.59/161.07 | (6122) all_450_0_40845 = 0
% 202.59/161.07 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 202.59/161.07 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.59/161.07 |
% 202.59/161.07 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.07 | (6125) all_450_1_40846 = all_33_1_35
% 202.59/161.07 |
% 202.59/161.07 | From (6125) and (6124) follows:
% 202.59/161.07 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.59/161.07 |
% 202.59/161.07 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.59/161.07 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.59/161.07 |
% 202.59/161.07 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.59/161.07 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.59/161.07 |
% 202.59/161.07 | Instantiating (287) with all_783_0_41322 yields:
% 202.59/161.07 | (7213) (all_783_0_41322 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41322 = 0) & environment(all_33_4_38) = all_783_0_41322) | ( ~ (all_783_0_41322 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41322)
% 202.59/161.07 |
% 202.59/161.07 | Instantiating (6127) with all_784_0_41323, all_784_1_41324 yields:
% 202.59/161.07 | (7214) (all_784_0_41323 = 0 & greater_or_equal(all_784_1_41324, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41324) | (all_784_0_41323 = 0 & greater(all_33_1_35, all_784_1_41324) = 0 & end_time(all_33_4_38) = all_784_1_41324) | ( ~ (all_784_1_41324 = 0) & environment(all_33_4_38) = all_784_1_41324)
% 202.59/161.07 |
% 202.59/161.07 +-Applying beta-rule and splitting (7213), into two cases.
% 202.59/161.07 |-Branch one:
% 202.59/161.07 | (7215) (all_783_0_41322 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41322 = 0) & environment(all_33_4_38) = all_783_0_41322)
% 202.59/161.07 |
% 202.59/161.07 +-Applying beta-rule and splitting (7215), into two cases.
% 202.59/161.07 |-Branch one:
% 202.59/161.07 | (7216) all_783_0_41322 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.59/161.07 |
% 202.59/161.07 | Applying alpha-rule on (7216) yields:
% 202.59/161.07 | (7217) all_783_0_41322 = 0
% 202.59/161.07 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.59/161.07 |
% 202.59/161.07 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.59/161.07 | (109) all_33_0_34 = 0
% 202.59/161.07 |
% 202.59/161.07 | Equations (109) can reduce 72 to:
% 202.59/161.07 | (62) $false
% 202.59/161.07 |
% 202.59/161.07 |-The branch is then unsatisfiable
% 202.59/161.07 |-Branch two:
% 202.59/161.07 | (7221) ~ (all_783_0_41322 = 0) & environment(all_33_4_38) = all_783_0_41322
% 202.59/161.07 |
% 202.59/161.07 | Applying alpha-rule on (7221) yields:
% 202.59/161.07 | (7222) ~ (all_783_0_41322 = 0)
% 202.59/161.07 | (7223) environment(all_33_4_38) = all_783_0_41322
% 202.59/161.07 |
% 202.59/161.07 | Instantiating formula (35) with all_33_4_38, all_783_0_41322, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41322, environment(all_33_4_38) = 0, yields:
% 202.59/161.07 | (7217) all_783_0_41322 = 0
% 202.59/161.07 |
% 202.59/161.07 | Equations (7217) can reduce 7222 to:
% 202.59/161.07 | (62) $false
% 202.59/161.07 |
% 202.59/161.07 |-The branch is then unsatisfiable
% 202.59/161.07 |-Branch two:
% 202.59/161.08 | (7226) ~ (all_783_0_41322 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41322
% 202.59/161.08 |
% 202.59/161.08 | Applying alpha-rule on (7226) yields:
% 202.59/161.08 | (7222) ~ (all_783_0_41322 = 0)
% 202.59/161.08 | (7228) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41322
% 202.59/161.08 |
% 202.59/161.08 +-Applying beta-rule and splitting (6084), into two cases.
% 202.59/161.08 |-Branch one:
% 202.59/161.08 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.59/161.08 |
% 202.59/161.08 +-Applying beta-rule and splitting (6145), into two cases.
% 202.59/161.08 |-Branch one:
% 202.59/161.08 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.59/161.08 |
% 202.59/161.08 | Applying alpha-rule on (6146) yields:
% 202.59/161.08 | (6147) all_562_1_40879 = 0
% 202.59/161.08 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.59/161.08 |
% 202.59/161.08 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41322 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41322, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.59/161.08 | (7217) all_783_0_41322 = 0
% 202.59/161.08 |
% 202.59/161.08 | Equations (7217) can reduce 7222 to:
% 202.59/161.08 | (62) $false
% 202.59/161.08 |
% 202.59/161.08 |-The branch is then unsatisfiable
% 202.59/161.08 |-Branch two:
% 202.59/161.08 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.59/161.08 |
% 202.59/161.08 | Applying alpha-rule on (6151) yields:
% 202.59/161.08 | (6152) ~ (all_562_0_40878 = 0)
% 202.59/161.08 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.59/161.08 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.59/161.08 |
% 202.59/161.08 +-Applying beta-rule and splitting (7214), into two cases.
% 202.59/161.08 |-Branch one:
% 202.59/161.08 | (7239) (all_784_0_41323 = 0 & greater_or_equal(all_784_1_41324, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41324) | (all_784_0_41323 = 0 & greater(all_33_1_35, all_784_1_41324) = 0 & end_time(all_33_4_38) = all_784_1_41324)
% 202.59/161.08 |
% 202.59/161.08 +-Applying beta-rule and splitting (7239), into two cases.
% 202.59/161.08 |-Branch one:
% 202.59/161.08 | (7240) all_784_0_41323 = 0 & greater_or_equal(all_784_1_41324, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41324
% 202.59/161.08 |
% 202.59/161.08 | Applying alpha-rule on (7240) yields:
% 202.59/161.08 | (7241) all_784_0_41323 = 0
% 202.59/161.08 | (7242) greater_or_equal(all_784_1_41324, all_33_1_35) = 0
% 202.59/161.08 | (7243) end_time(all_33_4_38) = all_784_1_41324
% 202.59/161.08 |
% 202.59/161.08 | Instantiating formula (43) with all_33_4_38, all_784_1_41324, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41324, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.08 | (7244) all_784_1_41324 = all_33_1_35
% 202.59/161.08 |
% 202.59/161.08 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41324 and discharging atoms end_time(all_33_4_38) = all_784_1_41324, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.59/161.08 | (7245) all_784_1_41324 = all_562_1_40879
% 202.59/161.08 |
% 202.59/161.08 | Combining equations (7245,7244) yields a new equation:
% 202.59/161.08 | (6162) all_562_1_40879 = all_33_1_35
% 202.59/161.08 |
% 202.59/161.08 | Simplifying 6162 yields:
% 202.59/161.08 | (6163) all_562_1_40879 = all_33_1_35
% 202.59/161.08 |
% 202.59/161.08 | From (7244) and (7242) follows:
% 202.59/161.08 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.59/161.08 |
% 202.59/161.08 | From (6163) and (6153) follows:
% 202.59/161.08 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.59/161.08 |
% 202.59/161.08 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.59/161.08 | (6166) all_562_0_40878 = 0
% 202.59/161.08 |
% 202.59/161.08 | Equations (6166) can reduce 6152 to:
% 202.59/161.08 | (62) $false
% 202.59/161.08 |
% 202.59/161.08 |-The branch is then unsatisfiable
% 202.59/161.08 |-Branch two:
% 202.59/161.08 | (7252) all_784_0_41323 = 0 & greater(all_33_1_35, all_784_1_41324) = 0 & end_time(all_33_4_38) = all_784_1_41324
% 202.59/161.08 |
% 202.59/161.08 | Applying alpha-rule on (7252) yields:
% 202.59/161.08 | (7241) all_784_0_41323 = 0
% 202.59/161.08 | (7254) greater(all_33_1_35, all_784_1_41324) = 0
% 202.59/161.08 | (7243) end_time(all_33_4_38) = all_784_1_41324
% 202.59/161.08 |
% 202.59/161.08 | Instantiating formula (43) with all_33_4_38, all_784_1_41324, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41324, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.08 | (7244) all_784_1_41324 = all_33_1_35
% 202.59/161.08 |
% 202.59/161.08 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41324 and discharging atoms end_time(all_33_4_38) = all_784_1_41324, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.59/161.08 | (7245) all_784_1_41324 = all_562_1_40879
% 202.59/161.08 |
% 202.59/161.08 | Combining equations (7245,7244) yields a new equation:
% 202.59/161.09 | (6162) all_562_1_40879 = all_33_1_35
% 202.59/161.09 |
% 202.59/161.09 | Simplifying 6162 yields:
% 202.59/161.09 | (6163) all_562_1_40879 = all_33_1_35
% 202.59/161.09 |
% 202.59/161.09 | From (6163) and (6153) follows:
% 202.59/161.09 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.59/161.09 |
% 202.59/161.09 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.59/161.09 | (6166) all_562_0_40878 = 0
% 202.59/161.09 |
% 202.59/161.09 | Equations (6166) can reduce 6152 to:
% 202.59/161.09 | (62) $false
% 202.59/161.09 |
% 202.59/161.09 |-The branch is then unsatisfiable
% 202.59/161.09 |-Branch two:
% 202.59/161.09 | (7263) ~ (all_784_1_41324 = 0) & environment(all_33_4_38) = all_784_1_41324
% 202.59/161.09 |
% 202.59/161.09 | Applying alpha-rule on (7263) yields:
% 202.59/161.09 | (7264) ~ (all_784_1_41324 = 0)
% 202.59/161.09 | (7265) environment(all_33_4_38) = all_784_1_41324
% 202.59/161.09 |
% 202.59/161.09 | Instantiating formula (35) with all_33_4_38, all_784_1_41324, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41324, environment(all_33_4_38) = 0, yields:
% 202.59/161.09 | (7266) all_784_1_41324 = 0
% 202.59/161.09 |
% 202.59/161.09 | Equations (7266) can reduce 7264 to:
% 202.59/161.09 | (62) $false
% 202.59/161.09 |
% 202.59/161.09 |-The branch is then unsatisfiable
% 202.59/161.09 |-Branch two:
% 202.59/161.09 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.59/161.09 |
% 202.59/161.09 | Applying alpha-rule on (6184) yields:
% 202.59/161.09 | (6185) ~ (all_562_1_40879 = 0)
% 202.59/161.09 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.59/161.09 |
% 202.59/161.09 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.59/161.09 | (6147) all_562_1_40879 = 0
% 202.59/161.09 |
% 202.59/161.09 | Equations (6147) can reduce 6185 to:
% 202.59/161.09 | (62) $false
% 202.59/161.09 |
% 202.59/161.09 |-The branch is then unsatisfiable
% 202.59/161.09 |-Branch two:
% 202.59/161.09 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.59/161.09 |
% 202.59/161.09 | Applying alpha-rule on (6189) yields:
% 202.59/161.09 | (6122) all_450_0_40845 = 0
% 202.59/161.09 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 202.59/161.09 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.59/161.09 |
% 202.59/161.09 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.59/161.09 | (6125) all_450_1_40846 = all_33_1_35
% 202.59/161.09 |
% 202.59/161.09 | From (6125) and (6124) follows:
% 202.59/161.09 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.59/161.09 |
% 202.59/161.09 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.59/161.09 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.59/161.09 |
% 202.59/161.09 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.59/161.09 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.59/161.09 |
% 202.59/161.09 | Instantiating (6127) with all_789_0_41363, all_789_1_41364 yields:
% 202.59/161.09 | (7281) (all_789_0_41363 = 0 & greater_or_equal(all_789_1_41364, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41364) | (all_789_0_41363 = 0 & greater(all_33_1_35, all_789_1_41364) = 0 & end_time(all_33_4_38) = all_789_1_41364) | ( ~ (all_789_1_41364 = 0) & environment(all_33_4_38) = all_789_1_41364)
% 202.59/161.09 |
% 202.59/161.09 | Instantiating (287) with all_790_0_41365 yields:
% 202.59/161.09 | (7282) (all_790_0_41365 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_41365 = 0) & environment(all_33_4_38) = all_790_0_41365) | ( ~ (all_790_0_41365 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_41365)
% 202.59/161.09 |
% 202.59/161.09 +-Applying beta-rule and splitting (7282), into two cases.
% 202.59/161.09 |-Branch one:
% 202.59/161.09 | (7283) (all_790_0_41365 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_41365 = 0) & environment(all_33_4_38) = all_790_0_41365)
% 202.59/161.09 |
% 202.59/161.09 +-Applying beta-rule and splitting (7283), into two cases.
% 202.59/161.09 |-Branch one:
% 202.59/161.09 | (7284) all_790_0_41365 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.59/161.09 |
% 202.59/161.09 | Applying alpha-rule on (7284) yields:
% 202.59/161.09 | (7285) all_790_0_41365 = 0
% 202.59/161.09 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.59/161.09 |
% 202.59/161.09 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.59/161.09 | (109) all_33_0_34 = 0
% 202.59/161.09 |
% 202.59/161.09 | Equations (109) can reduce 72 to:
% 202.59/161.09 | (62) $false
% 202.59/161.09 |
% 202.59/161.09 |-The branch is then unsatisfiable
% 202.59/161.09 |-Branch two:
% 202.59/161.09 | (7289) ~ (all_790_0_41365 = 0) & environment(all_33_4_38) = all_790_0_41365
% 202.59/161.09 |
% 202.59/161.09 | Applying alpha-rule on (7289) yields:
% 202.59/161.09 | (7290) ~ (all_790_0_41365 = 0)
% 202.59/161.10 | (7291) environment(all_33_4_38) = all_790_0_41365
% 202.59/161.10 |
% 202.59/161.10 | Instantiating formula (35) with all_33_4_38, all_790_0_41365, 0 and discharging atoms environment(all_33_4_38) = all_790_0_41365, environment(all_33_4_38) = 0, yields:
% 202.59/161.10 | (7285) all_790_0_41365 = 0
% 202.59/161.10 |
% 202.59/161.10 | Equations (7285) can reduce 7290 to:
% 202.59/161.10 | (62) $false
% 202.59/161.10 |
% 202.59/161.10 |-The branch is then unsatisfiable
% 202.59/161.10 |-Branch two:
% 202.59/161.10 | (7294) ~ (all_790_0_41365 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_41365
% 202.59/161.10 |
% 202.59/161.10 | Applying alpha-rule on (7294) yields:
% 202.59/161.10 | (7290) ~ (all_790_0_41365 = 0)
% 202.82/161.10 | (7296) in_environment(all_33_4_38, all_33_1_35) = all_790_0_41365
% 202.82/161.10 |
% 202.82/161.10 +-Applying beta-rule and splitting (6084), into two cases.
% 202.82/161.10 |-Branch one:
% 202.82/161.10 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.82/161.10 |
% 202.82/161.10 +-Applying beta-rule and splitting (6145), into two cases.
% 202.82/161.10 |-Branch one:
% 202.82/161.10 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.82/161.10 |
% 202.82/161.10 | Applying alpha-rule on (6146) yields:
% 202.82/161.10 | (6147) all_562_1_40879 = 0
% 202.82/161.10 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.82/161.10 |
% 202.82/161.10 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_41365 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_41365, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.82/161.10 | (7285) all_790_0_41365 = 0
% 202.82/161.10 |
% 202.82/161.10 | Equations (7285) can reduce 7290 to:
% 202.82/161.10 | (62) $false
% 202.82/161.10 |
% 202.82/161.10 |-The branch is then unsatisfiable
% 202.82/161.10 |-Branch two:
% 202.82/161.10 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.82/161.10 |
% 202.82/161.10 | Applying alpha-rule on (6151) yields:
% 202.82/161.10 | (6152) ~ (all_562_0_40878 = 0)
% 202.82/161.10 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.82/161.10 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.82/161.10 |
% 202.82/161.10 +-Applying beta-rule and splitting (7281), into two cases.
% 202.82/161.10 |-Branch one:
% 202.82/161.10 | (7307) (all_789_0_41363 = 0 & greater_or_equal(all_789_1_41364, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41364) | (all_789_0_41363 = 0 & greater(all_33_1_35, all_789_1_41364) = 0 & end_time(all_33_4_38) = all_789_1_41364)
% 202.82/161.10 |
% 202.82/161.10 +-Applying beta-rule and splitting (7307), into two cases.
% 202.82/161.10 |-Branch one:
% 202.82/161.10 | (7308) all_789_0_41363 = 0 & greater_or_equal(all_789_1_41364, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41364
% 202.82/161.10 |
% 202.82/161.10 | Applying alpha-rule on (7308) yields:
% 202.82/161.10 | (7309) all_789_0_41363 = 0
% 202.82/161.10 | (7310) greater_or_equal(all_789_1_41364, all_33_1_35) = 0
% 202.82/161.10 | (7311) end_time(all_33_4_38) = all_789_1_41364
% 202.82/161.10 |
% 202.82/161.10 | Instantiating formula (43) with all_33_4_38, all_789_1_41364, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_41364, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.10 | (7312) all_789_1_41364 = all_33_1_35
% 202.82/161.10 |
% 202.82/161.10 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_41364 and discharging atoms end_time(all_33_4_38) = all_789_1_41364, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.82/161.10 | (7313) all_789_1_41364 = all_562_1_40879
% 202.82/161.10 |
% 202.82/161.10 | Combining equations (7313,7312) yields a new equation:
% 202.82/161.10 | (6162) all_562_1_40879 = all_33_1_35
% 202.82/161.10 |
% 202.82/161.10 | Simplifying 6162 yields:
% 202.82/161.10 | (6163) all_562_1_40879 = all_33_1_35
% 202.82/161.10 |
% 202.82/161.10 | From (7312) and (7310) follows:
% 202.82/161.10 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.82/161.10 |
% 202.82/161.10 | From (6163) and (6153) follows:
% 202.82/161.10 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.82/161.10 |
% 202.82/161.10 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.82/161.10 | (6166) all_562_0_40878 = 0
% 202.82/161.10 |
% 202.82/161.10 | Equations (6166) can reduce 6152 to:
% 202.82/161.10 | (62) $false
% 202.82/161.10 |
% 202.82/161.10 |-The branch is then unsatisfiable
% 202.82/161.10 |-Branch two:
% 202.82/161.10 | (7320) all_789_0_41363 = 0 & greater(all_33_1_35, all_789_1_41364) = 0 & end_time(all_33_4_38) = all_789_1_41364
% 202.82/161.10 |
% 202.82/161.10 | Applying alpha-rule on (7320) yields:
% 202.82/161.10 | (7309) all_789_0_41363 = 0
% 202.82/161.10 | (7322) greater(all_33_1_35, all_789_1_41364) = 0
% 202.82/161.11 | (7311) end_time(all_33_4_38) = all_789_1_41364
% 202.82/161.11 |
% 202.82/161.11 | Instantiating formula (43) with all_33_4_38, all_789_1_41364, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_41364, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.11 | (7312) all_789_1_41364 = all_33_1_35
% 202.82/161.11 |
% 202.82/161.11 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_41364 and discharging atoms end_time(all_33_4_38) = all_789_1_41364, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.82/161.11 | (7313) all_789_1_41364 = all_562_1_40879
% 202.82/161.11 |
% 202.82/161.11 | Combining equations (7313,7312) yields a new equation:
% 202.82/161.11 | (6162) all_562_1_40879 = all_33_1_35
% 202.82/161.11 |
% 202.82/161.11 | Simplifying 6162 yields:
% 202.82/161.11 | (6163) all_562_1_40879 = all_33_1_35
% 202.82/161.11 |
% 202.82/161.11 | From (6163) and (6153) follows:
% 202.82/161.11 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.82/161.11 |
% 202.82/161.11 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.82/161.11 | (6166) all_562_0_40878 = 0
% 202.82/161.11 |
% 202.82/161.11 | Equations (6166) can reduce 6152 to:
% 202.82/161.11 | (62) $false
% 202.82/161.11 |
% 202.82/161.11 |-The branch is then unsatisfiable
% 202.82/161.11 |-Branch two:
% 202.82/161.11 | (7331) ~ (all_789_1_41364 = 0) & environment(all_33_4_38) = all_789_1_41364
% 202.82/161.11 |
% 202.82/161.11 | Applying alpha-rule on (7331) yields:
% 202.82/161.11 | (7332) ~ (all_789_1_41364 = 0)
% 202.82/161.11 | (7333) environment(all_33_4_38) = all_789_1_41364
% 202.82/161.11 |
% 202.82/161.11 | Instantiating formula (35) with all_33_4_38, all_789_1_41364, 0 and discharging atoms environment(all_33_4_38) = all_789_1_41364, environment(all_33_4_38) = 0, yields:
% 202.82/161.11 | (7334) all_789_1_41364 = 0
% 202.82/161.11 |
% 202.82/161.11 | Equations (7334) can reduce 7332 to:
% 202.82/161.11 | (62) $false
% 202.82/161.11 |
% 202.82/161.11 |-The branch is then unsatisfiable
% 202.82/161.11 |-Branch two:
% 202.82/161.11 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.82/161.11 |
% 202.82/161.11 | Applying alpha-rule on (6184) yields:
% 202.82/161.11 | (6185) ~ (all_562_1_40879 = 0)
% 202.82/161.11 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.82/161.11 |
% 202.82/161.11 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.82/161.11 | (6147) all_562_1_40879 = 0
% 202.82/161.11 |
% 202.82/161.11 | Equations (6147) can reduce 6185 to:
% 202.82/161.11 | (62) $false
% 202.82/161.11 |
% 202.82/161.11 |-The branch is then unsatisfiable
% 202.82/161.11 |-Branch two:
% 202.82/161.11 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 202.82/161.11 |
% 202.82/161.11 | Applying alpha-rule on (6257) yields:
% 202.82/161.11 | (6258) ~ (all_450_1_40846 = 0)
% 202.82/161.11 | (6259) environment(all_33_4_38) = all_450_1_40846
% 202.82/161.11 |
% 202.82/161.11 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 202.82/161.11 | (6260) all_450_1_40846 = 0
% 202.82/161.11 |
% 202.82/161.11 | Equations (6260) can reduce 6258 to:
% 202.82/161.11 | (62) $false
% 202.82/161.11 |
% 202.82/161.11 |-The branch is then unsatisfiable
% 202.82/161.11 |-Branch two:
% 202.82/161.11 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 202.82/161.11 |
% 202.82/161.11 | Applying alpha-rule on (6410) yields:
% 202.82/161.11 | (6411) ~ (all_449_1_40844 = 0)
% 202.82/161.11 | (6412) environment(all_33_4_38) = all_449_1_40844
% 202.82/161.11 |
% 202.82/161.11 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 202.82/161.11 | (6413) all_449_1_40844 = 0
% 202.82/161.11 |
% 202.82/161.11 | Equations (6413) can reduce 6411 to:
% 202.82/161.11 | (62) $false
% 202.82/161.11 |
% 202.82/161.11 |-The branch is then unsatisfiable
% 202.82/161.11 |-Branch two:
% 202.82/161.11 | (6723) ~ (all_448_1_40842 = 0) & environment(all_33_4_38) = all_448_1_40842
% 202.82/161.11 |
% 202.82/161.11 | Applying alpha-rule on (6723) yields:
% 202.82/161.11 | (6724) ~ (all_448_1_40842 = 0)
% 202.82/161.12 | (6725) environment(all_33_4_38) = all_448_1_40842
% 202.82/161.12 |
% 202.82/161.12 | Instantiating formula (35) with all_33_4_38, all_448_1_40842, 0 and discharging atoms environment(all_33_4_38) = all_448_1_40842, environment(all_33_4_38) = 0, yields:
% 202.82/161.12 | (6726) all_448_1_40842 = 0
% 202.82/161.12 |
% 202.82/161.12 | Equations (6726) can reduce 6724 to:
% 202.82/161.12 | (62) $false
% 202.82/161.12 |
% 202.82/161.12 |-The branch is then unsatisfiable
% 202.82/161.12 |-Branch two:
% 202.82/161.12 | (7356) ~ (all_447_1_40840 = 0) & environment(all_33_4_38) = all_447_1_40840
% 202.82/161.12 |
% 202.82/161.12 | Applying alpha-rule on (7356) yields:
% 202.82/161.12 | (7357) ~ (all_447_1_40840 = 0)
% 202.82/161.12 | (7358) environment(all_33_4_38) = all_447_1_40840
% 202.82/161.12 |
% 202.82/161.12 | Instantiating formula (35) with all_33_4_38, all_447_1_40840, 0 and discharging atoms environment(all_33_4_38) = all_447_1_40840, environment(all_33_4_38) = 0, yields:
% 202.82/161.12 | (7359) all_447_1_40840 = 0
% 202.82/161.12 |
% 202.82/161.12 | Equations (7359) can reduce 7357 to:
% 202.82/161.12 | (62) $false
% 202.82/161.12 |
% 202.82/161.12 |-The branch is then unsatisfiable
% 202.82/161.12 |-Branch two:
% 202.82/161.12 | (7361) all_444_0_40833 = 0 & greater(all_51_2_49, all_444_1_40834) = 0 & end_time(all_33_4_38) = all_444_1_40834
% 202.82/161.12 |
% 202.82/161.12 | Applying alpha-rule on (7361) yields:
% 202.82/161.12 | (6094) all_444_0_40833 = 0
% 202.82/161.12 | (7363) greater(all_51_2_49, all_444_1_40834) = 0
% 202.82/161.12 | (6096) end_time(all_33_4_38) = all_444_1_40834
% 202.82/161.12 |
% 202.82/161.12 | Instantiating formula (43) with all_33_4_38, all_444_1_40834, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_444_1_40834, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.12 | (6097) all_444_1_40834 = all_33_1_35
% 202.82/161.12 |
% 202.82/161.12 | From (6097) and (6096) follows:
% 202.82/161.12 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.82/161.12 |
% 202.82/161.12 +-Applying beta-rule and splitting (6070), into two cases.
% 202.82/161.12 |-Branch one:
% 202.82/161.12 | (6099) (all_447_0_40839 = 0 & greater_or_equal(all_447_1_40840, all_60_2_75) = 0 & end_time(all_33_4_38) = all_447_1_40840) | (all_447_0_40839 = 0 & greater(all_60_2_75, all_447_1_40840) = 0 & end_time(all_33_4_38) = all_447_1_40840)
% 202.82/161.12 |
% 202.82/161.12 +-Applying beta-rule and splitting (6099), into two cases.
% 202.82/161.12 |-Branch one:
% 202.82/161.12 | (6100) all_447_0_40839 = 0 & greater_or_equal(all_447_1_40840, all_60_2_75) = 0 & end_time(all_33_4_38) = all_447_1_40840
% 202.82/161.12 |
% 202.82/161.12 | Applying alpha-rule on (6100) yields:
% 202.82/161.12 | (6101) all_447_0_40839 = 0
% 202.82/161.12 | (6102) greater_or_equal(all_447_1_40840, all_60_2_75) = 0
% 202.82/161.12 | (6103) end_time(all_33_4_38) = all_447_1_40840
% 202.82/161.12 |
% 202.82/161.12 | Instantiating formula (43) with all_33_4_38, all_447_1_40840, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_447_1_40840, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.12 | (6104) all_447_1_40840 = all_33_1_35
% 202.82/161.12 |
% 202.82/161.12 | From (6104) and (6103) follows:
% 202.82/161.12 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.82/161.12 |
% 202.82/161.12 +-Applying beta-rule and splitting (6071), into two cases.
% 202.82/161.12 |-Branch one:
% 202.82/161.12 | (6106) (all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842) | (all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842)
% 202.82/161.12 |
% 202.82/161.12 +-Applying beta-rule and splitting (6106), into two cases.
% 202.82/161.12 |-Branch one:
% 202.82/161.12 | (6107) all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 202.82/161.12 |
% 202.82/161.12 | Applying alpha-rule on (6107) yields:
% 202.82/161.12 | (6108) all_448_0_40841 = 0
% 202.82/161.12 | (6109) greater_or_equal(all_448_1_40842, all_114_2_98) = 0
% 202.82/161.12 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 202.82/161.12 |
% 202.82/161.12 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.12 | (6111) all_448_1_40842 = all_33_1_35
% 202.82/161.12 |
% 202.82/161.12 | From (6111) and (6110) follows:
% 202.82/161.12 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.82/161.12 |
% 202.82/161.12 +-Applying beta-rule and splitting (6072), into two cases.
% 202.82/161.12 |-Branch one:
% 202.82/161.12 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 202.82/161.12 |
% 202.82/161.12 +-Applying beta-rule and splitting (6113), into two cases.
% 202.82/161.12 |-Branch one:
% 202.82/161.12 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 202.82/161.12 |
% 202.82/161.12 | Applying alpha-rule on (6114) yields:
% 202.82/161.12 | (6115) all_449_0_40843 = 0
% 202.82/161.12 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 202.82/161.12 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 202.82/161.12 |
% 202.82/161.12 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.13 | (6118) all_449_1_40844 = all_33_1_35
% 202.82/161.13 |
% 202.82/161.13 | From (6118) and (6117) follows:
% 202.82/161.13 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.82/161.13 |
% 202.82/161.13 +-Applying beta-rule and splitting (6073), into two cases.
% 202.82/161.13 |-Branch one:
% 202.82/161.13 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 202.82/161.13 |
% 202.82/161.13 +-Applying beta-rule and splitting (6120), into two cases.
% 202.82/161.13 |-Branch one:
% 202.82/161.13 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.82/161.13 |
% 202.82/161.13 | Applying alpha-rule on (6121) yields:
% 202.82/161.13 | (6122) all_450_0_40845 = 0
% 202.82/161.13 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 202.82/161.13 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.82/161.13 |
% 202.82/161.13 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.13 | (6125) all_450_1_40846 = all_33_1_35
% 202.82/161.13 |
% 202.82/161.13 | From (6125) and (6124) follows:
% 202.82/161.13 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.82/161.13 |
% 202.82/161.13 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.82/161.13 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.82/161.13 |
% 202.82/161.13 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.82/161.13 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.82/161.13 |
% 202.82/161.13 | Instantiating (287) with all_780_0_41375 yields:
% 202.82/161.13 | (7397) (all_780_0_41375 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_41375 = 0) & environment(all_33_4_38) = all_780_0_41375) | ( ~ (all_780_0_41375 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_41375)
% 202.82/161.13 |
% 202.82/161.13 | Instantiating (6127) with all_790_0_41393, all_790_1_41394 yields:
% 202.82/161.13 | (7398) (all_790_0_41393 = 0 & greater_or_equal(all_790_1_41394, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41394) | (all_790_0_41393 = 0 & greater(all_33_1_35, all_790_1_41394) = 0 & end_time(all_33_4_38) = all_790_1_41394) | ( ~ (all_790_1_41394 = 0) & environment(all_33_4_38) = all_790_1_41394)
% 202.82/161.13 |
% 202.82/161.13 +-Applying beta-rule and splitting (7397), into two cases.
% 202.82/161.13 |-Branch one:
% 202.82/161.13 | (7399) (all_780_0_41375 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_41375 = 0) & environment(all_33_4_38) = all_780_0_41375)
% 202.82/161.13 |
% 202.82/161.13 +-Applying beta-rule and splitting (7399), into two cases.
% 202.82/161.13 |-Branch one:
% 202.82/161.13 | (7400) all_780_0_41375 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.82/161.13 |
% 202.82/161.13 | Applying alpha-rule on (7400) yields:
% 202.82/161.13 | (7401) all_780_0_41375 = 0
% 202.82/161.13 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.82/161.13 |
% 202.82/161.13 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.82/161.13 | (109) all_33_0_34 = 0
% 202.82/161.13 |
% 202.82/161.13 | Equations (109) can reduce 72 to:
% 202.82/161.13 | (62) $false
% 202.82/161.13 |
% 202.82/161.13 |-The branch is then unsatisfiable
% 202.82/161.13 |-Branch two:
% 202.82/161.13 | (7405) ~ (all_780_0_41375 = 0) & environment(all_33_4_38) = all_780_0_41375
% 202.82/161.13 |
% 202.82/161.13 | Applying alpha-rule on (7405) yields:
% 202.82/161.13 | (7406) ~ (all_780_0_41375 = 0)
% 202.82/161.13 | (7407) environment(all_33_4_38) = all_780_0_41375
% 202.82/161.13 |
% 202.82/161.13 | Instantiating formula (35) with all_33_4_38, all_780_0_41375, 0 and discharging atoms environment(all_33_4_38) = all_780_0_41375, environment(all_33_4_38) = 0, yields:
% 202.82/161.13 | (7401) all_780_0_41375 = 0
% 202.82/161.13 |
% 202.82/161.13 | Equations (7401) can reduce 7406 to:
% 202.82/161.13 | (62) $false
% 202.82/161.13 |
% 202.82/161.13 |-The branch is then unsatisfiable
% 202.82/161.13 |-Branch two:
% 202.82/161.13 | (7410) ~ (all_780_0_41375 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_41375
% 202.82/161.13 |
% 202.82/161.13 | Applying alpha-rule on (7410) yields:
% 202.82/161.13 | (7406) ~ (all_780_0_41375 = 0)
% 202.82/161.13 | (7412) in_environment(all_33_4_38, all_33_1_35) = all_780_0_41375
% 202.82/161.13 |
% 202.82/161.13 +-Applying beta-rule and splitting (6084), into two cases.
% 202.82/161.13 |-Branch one:
% 202.82/161.13 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.82/161.13 |
% 202.82/161.13 +-Applying beta-rule and splitting (6145), into two cases.
% 202.82/161.13 |-Branch one:
% 202.82/161.13 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.82/161.13 |
% 202.82/161.13 | Applying alpha-rule on (6146) yields:
% 202.82/161.13 | (6147) all_562_1_40879 = 0
% 202.82/161.13 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.82/161.13 |
% 202.82/161.13 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_780_0_41375 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_780_0_41375, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.82/161.13 | (7401) all_780_0_41375 = 0
% 202.82/161.13 |
% 202.82/161.13 | Equations (7401) can reduce 7406 to:
% 202.82/161.13 | (62) $false
% 202.82/161.13 |
% 202.82/161.13 |-The branch is then unsatisfiable
% 202.82/161.13 |-Branch two:
% 202.82/161.13 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.82/161.13 |
% 202.82/161.13 | Applying alpha-rule on (6151) yields:
% 202.82/161.13 | (6152) ~ (all_562_0_40878 = 0)
% 202.82/161.14 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.82/161.14 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.82/161.14 |
% 202.82/161.14 +-Applying beta-rule and splitting (7398), into two cases.
% 202.82/161.14 |-Branch one:
% 202.82/161.14 | (7423) (all_790_0_41393 = 0 & greater_or_equal(all_790_1_41394, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41394) | (all_790_0_41393 = 0 & greater(all_33_1_35, all_790_1_41394) = 0 & end_time(all_33_4_38) = all_790_1_41394)
% 202.82/161.14 |
% 202.82/161.14 +-Applying beta-rule and splitting (7423), into two cases.
% 202.82/161.14 |-Branch one:
% 202.82/161.14 | (7424) all_790_0_41393 = 0 & greater_or_equal(all_790_1_41394, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41394
% 202.82/161.14 |
% 202.82/161.14 | Applying alpha-rule on (7424) yields:
% 202.82/161.14 | (7425) all_790_0_41393 = 0
% 202.82/161.14 | (7426) greater_or_equal(all_790_1_41394, all_33_1_35) = 0
% 202.82/161.14 | (7427) end_time(all_33_4_38) = all_790_1_41394
% 202.82/161.14 |
% 202.82/161.14 | Instantiating formula (43) with all_33_4_38, all_790_1_41394, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_41394, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.14 | (7428) all_790_1_41394 = all_33_1_35
% 202.82/161.14 |
% 202.82/161.14 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_41394 and discharging atoms end_time(all_33_4_38) = all_790_1_41394, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.82/161.14 | (7429) all_790_1_41394 = all_562_1_40879
% 202.82/161.14 |
% 202.82/161.14 | Combining equations (7429,7428) yields a new equation:
% 202.82/161.14 | (6162) all_562_1_40879 = all_33_1_35
% 202.82/161.14 |
% 202.82/161.14 | Simplifying 6162 yields:
% 202.82/161.14 | (6163) all_562_1_40879 = all_33_1_35
% 202.82/161.14 |
% 202.82/161.14 | From (7428) and (7426) follows:
% 202.82/161.14 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.82/161.14 |
% 202.82/161.14 | From (6163) and (6153) follows:
% 202.82/161.14 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.82/161.14 |
% 202.82/161.14 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.82/161.14 | (6166) all_562_0_40878 = 0
% 202.82/161.14 |
% 202.82/161.14 | Equations (6166) can reduce 6152 to:
% 202.82/161.14 | (62) $false
% 202.82/161.14 |
% 202.82/161.14 |-The branch is then unsatisfiable
% 202.82/161.14 |-Branch two:
% 202.82/161.14 | (7436) all_790_0_41393 = 0 & greater(all_33_1_35, all_790_1_41394) = 0 & end_time(all_33_4_38) = all_790_1_41394
% 202.82/161.14 |
% 202.82/161.14 | Applying alpha-rule on (7436) yields:
% 202.82/161.14 | (7425) all_790_0_41393 = 0
% 202.82/161.14 | (7438) greater(all_33_1_35, all_790_1_41394) = 0
% 202.82/161.14 | (7427) end_time(all_33_4_38) = all_790_1_41394
% 202.82/161.14 |
% 202.82/161.14 | Instantiating formula (43) with all_33_4_38, all_790_1_41394, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_41394, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.14 | (7428) all_790_1_41394 = all_33_1_35
% 202.82/161.14 |
% 202.82/161.14 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_41394 and discharging atoms end_time(all_33_4_38) = all_790_1_41394, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.82/161.14 | (7429) all_790_1_41394 = all_562_1_40879
% 202.82/161.14 |
% 202.82/161.14 | Combining equations (7429,7428) yields a new equation:
% 202.82/161.14 | (6162) all_562_1_40879 = all_33_1_35
% 202.82/161.14 |
% 202.82/161.14 | Simplifying 6162 yields:
% 202.82/161.14 | (6163) all_562_1_40879 = all_33_1_35
% 202.82/161.14 |
% 202.82/161.14 | From (6163) and (6153) follows:
% 202.82/161.14 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.82/161.14 |
% 202.82/161.14 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.82/161.14 | (6166) all_562_0_40878 = 0
% 202.82/161.14 |
% 202.82/161.14 | Equations (6166) can reduce 6152 to:
% 202.82/161.14 | (62) $false
% 202.82/161.14 |
% 202.82/161.14 |-The branch is then unsatisfiable
% 202.82/161.14 |-Branch two:
% 202.82/161.14 | (7447) ~ (all_790_1_41394 = 0) & environment(all_33_4_38) = all_790_1_41394
% 202.82/161.14 |
% 202.82/161.14 | Applying alpha-rule on (7447) yields:
% 202.82/161.14 | (7448) ~ (all_790_1_41394 = 0)
% 202.82/161.14 | (7449) environment(all_33_4_38) = all_790_1_41394
% 202.82/161.14 |
% 202.82/161.14 | Instantiating formula (35) with all_33_4_38, all_790_1_41394, 0 and discharging atoms environment(all_33_4_38) = all_790_1_41394, environment(all_33_4_38) = 0, yields:
% 202.82/161.14 | (7450) all_790_1_41394 = 0
% 202.82/161.14 |
% 202.82/161.15 | Equations (7450) can reduce 7448 to:
% 202.82/161.15 | (62) $false
% 202.82/161.15 |
% 202.82/161.15 |-The branch is then unsatisfiable
% 202.82/161.15 |-Branch two:
% 202.82/161.15 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.82/161.15 |
% 202.82/161.15 | Applying alpha-rule on (6184) yields:
% 202.82/161.15 | (6185) ~ (all_562_1_40879 = 0)
% 202.82/161.15 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.82/161.15 |
% 202.82/161.15 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.82/161.15 | (6147) all_562_1_40879 = 0
% 202.82/161.15 |
% 202.82/161.15 | Equations (6147) can reduce 6185 to:
% 202.82/161.15 | (62) $false
% 202.82/161.15 |
% 202.82/161.15 |-The branch is then unsatisfiable
% 202.82/161.15 |-Branch two:
% 202.82/161.15 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.82/161.15 |
% 202.82/161.15 | Applying alpha-rule on (6189) yields:
% 202.82/161.15 | (6122) all_450_0_40845 = 0
% 202.82/161.15 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 202.82/161.15 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.82/161.15 |
% 202.82/161.15 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.15 | (6125) all_450_1_40846 = all_33_1_35
% 202.82/161.15 |
% 202.82/161.15 | From (6125) and (6124) follows:
% 202.82/161.15 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.82/161.15 |
% 202.82/161.15 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.82/161.15 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.82/161.15 |
% 202.82/161.15 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.82/161.15 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.82/161.15 |
% 202.82/161.15 | Instantiating (287) with all_779_0_41405 yields:
% 202.82/161.15 | (7465) (all_779_0_41405 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41405 = 0) & environment(all_33_4_38) = all_779_0_41405) | ( ~ (all_779_0_41405 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41405)
% 202.82/161.15 |
% 202.82/161.15 | Instantiating (6127) with all_788_0_41421, all_788_1_41422 yields:
% 202.82/161.15 | (7466) (all_788_0_41421 = 0 & greater_or_equal(all_788_1_41422, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41422) | (all_788_0_41421 = 0 & greater(all_33_1_35, all_788_1_41422) = 0 & end_time(all_33_4_38) = all_788_1_41422) | ( ~ (all_788_1_41422 = 0) & environment(all_33_4_38) = all_788_1_41422)
% 202.82/161.15 |
% 202.82/161.15 +-Applying beta-rule and splitting (7465), into two cases.
% 202.82/161.15 |-Branch one:
% 202.82/161.15 | (7467) (all_779_0_41405 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41405 = 0) & environment(all_33_4_38) = all_779_0_41405)
% 202.82/161.15 |
% 202.82/161.15 +-Applying beta-rule and splitting (7467), into two cases.
% 202.82/161.15 |-Branch one:
% 202.82/161.15 | (7468) all_779_0_41405 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.82/161.15 |
% 202.82/161.15 | Applying alpha-rule on (7468) yields:
% 202.82/161.15 | (7469) all_779_0_41405 = 0
% 202.82/161.15 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.82/161.15 |
% 202.82/161.15 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.82/161.15 | (109) all_33_0_34 = 0
% 202.82/161.15 |
% 202.82/161.15 | Equations (109) can reduce 72 to:
% 202.82/161.15 | (62) $false
% 202.82/161.15 |
% 202.82/161.15 |-The branch is then unsatisfiable
% 202.82/161.15 |-Branch two:
% 202.82/161.15 | (7473) ~ (all_779_0_41405 = 0) & environment(all_33_4_38) = all_779_0_41405
% 202.82/161.15 |
% 202.82/161.15 | Applying alpha-rule on (7473) yields:
% 202.82/161.15 | (7474) ~ (all_779_0_41405 = 0)
% 202.82/161.15 | (7475) environment(all_33_4_38) = all_779_0_41405
% 202.82/161.15 |
% 202.82/161.15 | Instantiating formula (35) with all_33_4_38, all_779_0_41405, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41405, environment(all_33_4_38) = 0, yields:
% 202.82/161.15 | (7469) all_779_0_41405 = 0
% 202.82/161.15 |
% 202.82/161.15 | Equations (7469) can reduce 7474 to:
% 202.82/161.15 | (62) $false
% 202.82/161.15 |
% 202.82/161.15 |-The branch is then unsatisfiable
% 202.82/161.15 |-Branch two:
% 202.82/161.15 | (7478) ~ (all_779_0_41405 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41405
% 202.82/161.15 |
% 202.82/161.15 | Applying alpha-rule on (7478) yields:
% 202.82/161.15 | (7474) ~ (all_779_0_41405 = 0)
% 202.82/161.15 | (7480) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41405
% 202.82/161.15 |
% 202.82/161.15 +-Applying beta-rule and splitting (6084), into two cases.
% 202.82/161.15 |-Branch one:
% 202.82/161.15 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 202.82/161.15 |
% 202.82/161.15 +-Applying beta-rule and splitting (6145), into two cases.
% 202.82/161.15 |-Branch one:
% 202.82/161.15 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 202.82/161.16 |
% 202.82/161.16 | Applying alpha-rule on (6146) yields:
% 202.82/161.16 | (6147) all_562_1_40879 = 0
% 202.82/161.16 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 202.82/161.16 |
% 202.82/161.16 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41405 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41405, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 202.82/161.16 | (7469) all_779_0_41405 = 0
% 202.82/161.16 |
% 202.82/161.16 | Equations (7469) can reduce 7474 to:
% 202.82/161.16 | (62) $false
% 202.82/161.16 |
% 202.82/161.16 |-The branch is then unsatisfiable
% 202.82/161.16 |-Branch two:
% 202.82/161.16 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 202.82/161.16 |
% 202.82/161.16 | Applying alpha-rule on (6151) yields:
% 202.82/161.16 | (6152) ~ (all_562_0_40878 = 0)
% 202.82/161.16 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 202.82/161.16 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 202.82/161.16 |
% 202.82/161.16 +-Applying beta-rule and splitting (7466), into two cases.
% 202.82/161.16 |-Branch one:
% 202.82/161.16 | (7491) (all_788_0_41421 = 0 & greater_or_equal(all_788_1_41422, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41422) | (all_788_0_41421 = 0 & greater(all_33_1_35, all_788_1_41422) = 0 & end_time(all_33_4_38) = all_788_1_41422)
% 202.82/161.16 |
% 202.82/161.16 +-Applying beta-rule and splitting (7491), into two cases.
% 202.82/161.16 |-Branch one:
% 202.82/161.16 | (7492) all_788_0_41421 = 0 & greater_or_equal(all_788_1_41422, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41422
% 202.82/161.16 |
% 202.82/161.16 | Applying alpha-rule on (7492) yields:
% 202.82/161.16 | (7493) all_788_0_41421 = 0
% 202.82/161.16 | (7494) greater_or_equal(all_788_1_41422, all_33_1_35) = 0
% 202.82/161.16 | (7495) end_time(all_33_4_38) = all_788_1_41422
% 202.82/161.16 |
% 202.82/161.16 | Instantiating formula (43) with all_33_4_38, all_788_1_41422, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41422, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.16 | (7496) all_788_1_41422 = all_33_1_35
% 202.82/161.16 |
% 202.82/161.16 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41422 and discharging atoms end_time(all_33_4_38) = all_788_1_41422, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.82/161.16 | (7497) all_788_1_41422 = all_562_1_40879
% 202.82/161.16 |
% 202.82/161.16 | Combining equations (7497,7496) yields a new equation:
% 202.82/161.16 | (6162) all_562_1_40879 = all_33_1_35
% 202.82/161.16 |
% 202.82/161.16 | Simplifying 6162 yields:
% 202.82/161.16 | (6163) all_562_1_40879 = all_33_1_35
% 202.82/161.16 |
% 202.82/161.16 | From (7496) and (7494) follows:
% 202.82/161.16 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 202.82/161.16 |
% 202.82/161.16 | From (6163) and (6153) follows:
% 202.82/161.16 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.82/161.16 |
% 202.82/161.16 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 202.82/161.16 | (6166) all_562_0_40878 = 0
% 202.82/161.16 |
% 202.82/161.16 | Equations (6166) can reduce 6152 to:
% 202.82/161.16 | (62) $false
% 202.82/161.16 |
% 202.82/161.16 |-The branch is then unsatisfiable
% 202.82/161.16 |-Branch two:
% 202.82/161.16 | (7504) all_788_0_41421 = 0 & greater(all_33_1_35, all_788_1_41422) = 0 & end_time(all_33_4_38) = all_788_1_41422
% 202.82/161.16 |
% 202.82/161.16 | Applying alpha-rule on (7504) yields:
% 202.82/161.16 | (7493) all_788_0_41421 = 0
% 202.82/161.16 | (7506) greater(all_33_1_35, all_788_1_41422) = 0
% 202.82/161.16 | (7495) end_time(all_33_4_38) = all_788_1_41422
% 202.82/161.16 |
% 202.82/161.16 | Instantiating formula (43) with all_33_4_38, all_788_1_41422, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41422, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.16 | (7496) all_788_1_41422 = all_33_1_35
% 202.82/161.16 |
% 202.82/161.16 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41422 and discharging atoms end_time(all_33_4_38) = all_788_1_41422, end_time(all_33_4_38) = all_562_1_40879, yields:
% 202.82/161.16 | (7497) all_788_1_41422 = all_562_1_40879
% 202.82/161.16 |
% 202.82/161.16 | Combining equations (7497,7496) yields a new equation:
% 202.82/161.16 | (6162) all_562_1_40879 = all_33_1_35
% 202.82/161.16 |
% 202.82/161.16 | Simplifying 6162 yields:
% 202.82/161.16 | (6163) all_562_1_40879 = all_33_1_35
% 202.82/161.16 |
% 202.82/161.16 | From (6163) and (6153) follows:
% 202.82/161.16 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 202.82/161.16 |
% 202.82/161.16 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 202.82/161.17 | (6166) all_562_0_40878 = 0
% 202.82/161.17 |
% 202.82/161.17 | Equations (6166) can reduce 6152 to:
% 202.82/161.17 | (62) $false
% 202.82/161.17 |
% 202.82/161.17 |-The branch is then unsatisfiable
% 202.82/161.17 |-Branch two:
% 202.82/161.17 | (7515) ~ (all_788_1_41422 = 0) & environment(all_33_4_38) = all_788_1_41422
% 202.82/161.17 |
% 202.82/161.17 | Applying alpha-rule on (7515) yields:
% 202.82/161.17 | (7516) ~ (all_788_1_41422 = 0)
% 202.82/161.17 | (7517) environment(all_33_4_38) = all_788_1_41422
% 202.82/161.17 |
% 202.82/161.17 | Instantiating formula (35) with all_33_4_38, all_788_1_41422, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41422, environment(all_33_4_38) = 0, yields:
% 202.82/161.17 | (7518) all_788_1_41422 = 0
% 202.82/161.17 |
% 202.82/161.17 | Equations (7518) can reduce 7516 to:
% 202.82/161.17 | (62) $false
% 202.82/161.17 |
% 202.82/161.17 |-The branch is then unsatisfiable
% 202.82/161.17 |-Branch two:
% 202.82/161.17 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 202.82/161.17 |
% 202.82/161.17 | Applying alpha-rule on (6184) yields:
% 202.82/161.17 | (6185) ~ (all_562_1_40879 = 0)
% 202.82/161.17 | (6186) environment(all_33_4_38) = all_562_1_40879
% 202.82/161.17 |
% 202.82/161.17 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 202.82/161.17 | (6147) all_562_1_40879 = 0
% 202.82/161.17 |
% 202.82/161.17 | Equations (6147) can reduce 6185 to:
% 202.82/161.17 | (62) $false
% 202.82/161.17 |
% 202.82/161.17 |-The branch is then unsatisfiable
% 202.82/161.17 |-Branch two:
% 202.82/161.17 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 202.82/161.17 |
% 202.82/161.17 | Applying alpha-rule on (6257) yields:
% 202.82/161.17 | (6258) ~ (all_450_1_40846 = 0)
% 202.82/161.17 | (6259) environment(all_33_4_38) = all_450_1_40846
% 202.82/161.17 |
% 202.82/161.17 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 202.82/161.17 | (6260) all_450_1_40846 = 0
% 202.82/161.17 |
% 202.82/161.17 | Equations (6260) can reduce 6258 to:
% 202.82/161.17 | (62) $false
% 202.82/161.17 |
% 202.82/161.17 |-The branch is then unsatisfiable
% 202.82/161.17 |-Branch two:
% 202.82/161.17 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 202.82/161.17 |
% 202.82/161.17 | Applying alpha-rule on (6262) yields:
% 202.82/161.17 | (6115) all_449_0_40843 = 0
% 202.82/161.17 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 202.82/161.17 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 202.82/161.17 |
% 202.82/161.17 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.17 | (6118) all_449_1_40844 = all_33_1_35
% 202.82/161.17 |
% 202.82/161.17 | From (6118) and (6117) follows:
% 202.82/161.17 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.82/161.17 |
% 202.82/161.17 +-Applying beta-rule and splitting (6073), into two cases.
% 202.82/161.17 |-Branch one:
% 202.82/161.17 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 202.82/161.17 |
% 202.82/161.17 +-Applying beta-rule and splitting (6120), into two cases.
% 202.82/161.17 |-Branch one:
% 202.82/161.17 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 202.82/161.17 |
% 202.82/161.17 | Applying alpha-rule on (6121) yields:
% 202.82/161.17 | (6122) all_450_0_40845 = 0
% 202.82/161.17 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 202.82/161.17 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 202.82/161.17 |
% 202.82/161.17 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 202.82/161.17 | (6125) all_450_1_40846 = all_33_1_35
% 202.82/161.17 |
% 202.82/161.17 | From (6125) and (6124) follows:
% 202.82/161.17 | (67) end_time(all_33_4_38) = all_33_1_35
% 202.82/161.17 |
% 202.82/161.17 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.82/161.18 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 202.82/161.18 |
% 202.82/161.18 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 202.82/161.18 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 202.82/161.18 |
% 202.82/161.18 | Instantiating (287) with all_779_0_41435 yields:
% 202.82/161.18 | (7545) (all_779_0_41435 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41435 = 0) & environment(all_33_4_38) = all_779_0_41435) | ( ~ (all_779_0_41435 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41435)
% 202.82/161.18 |
% 202.82/161.18 | Instantiating (6127) with all_788_0_41451, all_788_1_41452 yields:
% 202.82/161.18 | (7546) (all_788_0_41451 = 0 & greater_or_equal(all_788_1_41452, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41452) | (all_788_0_41451 = 0 & greater(all_33_1_35, all_788_1_41452) = 0 & end_time(all_33_4_38) = all_788_1_41452) | ( ~ (all_788_1_41452 = 0) & environment(all_33_4_38) = all_788_1_41452)
% 202.82/161.18 |
% 202.82/161.18 +-Applying beta-rule and splitting (7545), into two cases.
% 202.82/161.18 |-Branch one:
% 202.82/161.18 | (7547) (all_779_0_41435 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41435 = 0) & environment(all_33_4_38) = all_779_0_41435)
% 202.82/161.18 |
% 202.82/161.18 +-Applying beta-rule and splitting (7547), into two cases.
% 202.82/161.18 |-Branch one:
% 202.82/161.18 | (7548) all_779_0_41435 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.82/161.18 |
% 202.82/161.18 | Applying alpha-rule on (7548) yields:
% 202.82/161.18 | (7549) all_779_0_41435 = 0
% 202.82/161.18 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 202.82/161.18 |
% 202.82/161.18 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 202.82/161.18 | (109) all_33_0_34 = 0
% 202.82/161.18 |
% 202.82/161.18 | Equations (109) can reduce 72 to:
% 202.82/161.18 | (62) $false
% 202.82/161.18 |
% 202.82/161.18 |-The branch is then unsatisfiable
% 202.82/161.18 |-Branch two:
% 202.82/161.18 | (7553) ~ (all_779_0_41435 = 0) & environment(all_33_4_38) = all_779_0_41435
% 202.82/161.18 |
% 202.82/161.18 | Applying alpha-rule on (7553) yields:
% 203.07/161.18 | (7554) ~ (all_779_0_41435 = 0)
% 203.07/161.18 | (7555) environment(all_33_4_38) = all_779_0_41435
% 203.07/161.18 |
% 203.07/161.18 | Instantiating formula (35) with all_33_4_38, all_779_0_41435, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41435, environment(all_33_4_38) = 0, yields:
% 203.07/161.18 | (7549) all_779_0_41435 = 0
% 203.07/161.18 |
% 203.07/161.18 | Equations (7549) can reduce 7554 to:
% 203.07/161.18 | (62) $false
% 203.07/161.18 |
% 203.07/161.18 |-The branch is then unsatisfiable
% 203.07/161.18 |-Branch two:
% 203.07/161.18 | (7558) ~ (all_779_0_41435 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41435
% 203.07/161.18 |
% 203.07/161.18 | Applying alpha-rule on (7558) yields:
% 203.07/161.18 | (7554) ~ (all_779_0_41435 = 0)
% 203.07/161.18 | (7560) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41435
% 203.07/161.18 |
% 203.07/161.18 +-Applying beta-rule and splitting (6084), into two cases.
% 203.07/161.18 |-Branch one:
% 203.07/161.18 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.07/161.18 |
% 203.07/161.18 +-Applying beta-rule and splitting (6145), into two cases.
% 203.07/161.18 |-Branch one:
% 203.07/161.18 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.07/161.18 |
% 203.07/161.18 | Applying alpha-rule on (6146) yields:
% 203.07/161.18 | (6147) all_562_1_40879 = 0
% 203.07/161.18 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.07/161.18 |
% 203.07/161.18 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41435 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41435, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.07/161.18 | (7549) all_779_0_41435 = 0
% 203.07/161.18 |
% 203.07/161.18 | Equations (7549) can reduce 7554 to:
% 203.07/161.18 | (62) $false
% 203.07/161.18 |
% 203.07/161.18 |-The branch is then unsatisfiable
% 203.07/161.18 |-Branch two:
% 203.07/161.18 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.07/161.18 |
% 203.07/161.18 | Applying alpha-rule on (6151) yields:
% 203.07/161.18 | (6152) ~ (all_562_0_40878 = 0)
% 203.07/161.18 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.07/161.18 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.07/161.18 |
% 203.07/161.18 +-Applying beta-rule and splitting (7546), into two cases.
% 203.07/161.18 |-Branch one:
% 203.07/161.18 | (7571) (all_788_0_41451 = 0 & greater_or_equal(all_788_1_41452, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41452) | (all_788_0_41451 = 0 & greater(all_33_1_35, all_788_1_41452) = 0 & end_time(all_33_4_38) = all_788_1_41452)
% 203.07/161.18 |
% 203.07/161.18 +-Applying beta-rule and splitting (7571), into two cases.
% 203.07/161.18 |-Branch one:
% 203.07/161.18 | (7572) all_788_0_41451 = 0 & greater_or_equal(all_788_1_41452, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41452
% 203.07/161.18 |
% 203.07/161.18 | Applying alpha-rule on (7572) yields:
% 203.07/161.18 | (7573) all_788_0_41451 = 0
% 203.07/161.18 | (7574) greater_or_equal(all_788_1_41452, all_33_1_35) = 0
% 203.07/161.18 | (7575) end_time(all_33_4_38) = all_788_1_41452
% 203.07/161.18 |
% 203.07/161.18 | Instantiating formula (43) with all_33_4_38, all_788_1_41452, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41452, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.19 | (7576) all_788_1_41452 = all_33_1_35
% 203.07/161.19 |
% 203.07/161.19 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41452 and discharging atoms end_time(all_33_4_38) = all_788_1_41452, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.07/161.19 | (7577) all_788_1_41452 = all_562_1_40879
% 203.07/161.19 |
% 203.07/161.19 | Combining equations (7577,7576) yields a new equation:
% 203.07/161.19 | (6162) all_562_1_40879 = all_33_1_35
% 203.07/161.19 |
% 203.07/161.19 | Simplifying 6162 yields:
% 203.07/161.19 | (6163) all_562_1_40879 = all_33_1_35
% 203.07/161.19 |
% 203.07/161.19 | From (7576) and (7574) follows:
% 203.07/161.19 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.07/161.19 |
% 203.07/161.19 | From (6163) and (6153) follows:
% 203.07/161.19 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.07/161.19 |
% 203.07/161.19 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.07/161.19 | (6166) all_562_0_40878 = 0
% 203.07/161.19 |
% 203.07/161.19 | Equations (6166) can reduce 6152 to:
% 203.07/161.19 | (62) $false
% 203.07/161.19 |
% 203.07/161.19 |-The branch is then unsatisfiable
% 203.07/161.19 |-Branch two:
% 203.07/161.19 | (7584) all_788_0_41451 = 0 & greater(all_33_1_35, all_788_1_41452) = 0 & end_time(all_33_4_38) = all_788_1_41452
% 203.07/161.19 |
% 203.07/161.19 | Applying alpha-rule on (7584) yields:
% 203.07/161.19 | (7573) all_788_0_41451 = 0
% 203.07/161.19 | (7586) greater(all_33_1_35, all_788_1_41452) = 0
% 203.07/161.19 | (7575) end_time(all_33_4_38) = all_788_1_41452
% 203.07/161.19 |
% 203.07/161.19 | Instantiating formula (43) with all_33_4_38, all_788_1_41452, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41452, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.19 | (7576) all_788_1_41452 = all_33_1_35
% 203.07/161.19 |
% 203.07/161.19 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41452 and discharging atoms end_time(all_33_4_38) = all_788_1_41452, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.07/161.19 | (7577) all_788_1_41452 = all_562_1_40879
% 203.07/161.19 |
% 203.07/161.19 | Combining equations (7577,7576) yields a new equation:
% 203.07/161.19 | (6162) all_562_1_40879 = all_33_1_35
% 203.07/161.19 |
% 203.07/161.19 | Simplifying 6162 yields:
% 203.07/161.19 | (6163) all_562_1_40879 = all_33_1_35
% 203.07/161.19 |
% 203.07/161.19 | From (6163) and (6153) follows:
% 203.07/161.19 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.07/161.19 |
% 203.07/161.19 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.07/161.19 | (6166) all_562_0_40878 = 0
% 203.07/161.19 |
% 203.07/161.19 | Equations (6166) can reduce 6152 to:
% 203.07/161.19 | (62) $false
% 203.07/161.19 |
% 203.07/161.19 |-The branch is then unsatisfiable
% 203.07/161.19 |-Branch two:
% 203.07/161.19 | (7595) ~ (all_788_1_41452 = 0) & environment(all_33_4_38) = all_788_1_41452
% 203.07/161.19 |
% 203.07/161.19 | Applying alpha-rule on (7595) yields:
% 203.07/161.19 | (7596) ~ (all_788_1_41452 = 0)
% 203.07/161.19 | (7597) environment(all_33_4_38) = all_788_1_41452
% 203.07/161.19 |
% 203.07/161.19 | Instantiating formula (35) with all_33_4_38, all_788_1_41452, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41452, environment(all_33_4_38) = 0, yields:
% 203.07/161.19 | (7598) all_788_1_41452 = 0
% 203.07/161.19 |
% 203.07/161.19 | Equations (7598) can reduce 7596 to:
% 203.07/161.19 | (62) $false
% 203.07/161.19 |
% 203.07/161.19 |-The branch is then unsatisfiable
% 203.07/161.19 |-Branch two:
% 203.07/161.19 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.07/161.19 |
% 203.07/161.19 | Applying alpha-rule on (6184) yields:
% 203.07/161.19 | (6185) ~ (all_562_1_40879 = 0)
% 203.07/161.19 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.07/161.19 |
% 203.07/161.19 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.07/161.19 | (6147) all_562_1_40879 = 0
% 203.07/161.19 |
% 203.07/161.19 | Equations (6147) can reduce 6185 to:
% 203.07/161.19 | (62) $false
% 203.07/161.19 |
% 203.07/161.19 |-The branch is then unsatisfiable
% 203.07/161.19 |-Branch two:
% 203.07/161.19 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.07/161.19 |
% 203.07/161.20 | Applying alpha-rule on (6189) yields:
% 203.07/161.20 | (6122) all_450_0_40845 = 0
% 203.07/161.20 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.07/161.20 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.07/161.20 |
% 203.07/161.20 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.20 | (6125) all_450_1_40846 = all_33_1_35
% 203.07/161.20 |
% 203.07/161.20 | From (6125) and (6124) follows:
% 203.07/161.20 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.07/161.20 |
% 203.07/161.20 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.07/161.20 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.07/161.20 |
% 203.07/161.20 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.07/161.20 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.07/161.20 |
% 203.07/161.20 | Instantiating (287) with all_783_0_41472 yields:
% 203.07/161.20 | (7613) (all_783_0_41472 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41472 = 0) & environment(all_33_4_38) = all_783_0_41472) | ( ~ (all_783_0_41472 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41472)
% 203.07/161.20 |
% 203.07/161.20 | Instantiating (6127) with all_784_0_41473, all_784_1_41474 yields:
% 203.07/161.20 | (7614) (all_784_0_41473 = 0 & greater_or_equal(all_784_1_41474, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41474) | (all_784_0_41473 = 0 & greater(all_33_1_35, all_784_1_41474) = 0 & end_time(all_33_4_38) = all_784_1_41474) | ( ~ (all_784_1_41474 = 0) & environment(all_33_4_38) = all_784_1_41474)
% 203.07/161.20 |
% 203.07/161.20 +-Applying beta-rule and splitting (7613), into two cases.
% 203.07/161.20 |-Branch one:
% 203.07/161.20 | (7615) (all_783_0_41472 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41472 = 0) & environment(all_33_4_38) = all_783_0_41472)
% 203.07/161.20 |
% 203.07/161.20 +-Applying beta-rule and splitting (7615), into two cases.
% 203.07/161.20 |-Branch one:
% 203.07/161.20 | (7616) all_783_0_41472 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.07/161.20 |
% 203.07/161.20 | Applying alpha-rule on (7616) yields:
% 203.07/161.20 | (7617) all_783_0_41472 = 0
% 203.07/161.20 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.07/161.20 |
% 203.07/161.20 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.07/161.20 | (109) all_33_0_34 = 0
% 203.07/161.20 |
% 203.07/161.20 | Equations (109) can reduce 72 to:
% 203.07/161.20 | (62) $false
% 203.07/161.20 |
% 203.07/161.20 |-The branch is then unsatisfiable
% 203.07/161.20 |-Branch two:
% 203.07/161.20 | (7621) ~ (all_783_0_41472 = 0) & environment(all_33_4_38) = all_783_0_41472
% 203.07/161.20 |
% 203.07/161.20 | Applying alpha-rule on (7621) yields:
% 203.07/161.20 | (7622) ~ (all_783_0_41472 = 0)
% 203.07/161.20 | (7623) environment(all_33_4_38) = all_783_0_41472
% 203.07/161.20 |
% 203.07/161.20 | Instantiating formula (35) with all_33_4_38, all_783_0_41472, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41472, environment(all_33_4_38) = 0, yields:
% 203.07/161.20 | (7617) all_783_0_41472 = 0
% 203.07/161.20 |
% 203.07/161.20 | Equations (7617) can reduce 7622 to:
% 203.07/161.20 | (62) $false
% 203.07/161.20 |
% 203.07/161.20 |-The branch is then unsatisfiable
% 203.07/161.20 |-Branch two:
% 203.07/161.20 | (7626) ~ (all_783_0_41472 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41472
% 203.07/161.20 |
% 203.07/161.20 | Applying alpha-rule on (7626) yields:
% 203.07/161.20 | (7622) ~ (all_783_0_41472 = 0)
% 203.07/161.20 | (7628) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41472
% 203.07/161.20 |
% 203.07/161.20 +-Applying beta-rule and splitting (6084), into two cases.
% 203.07/161.20 |-Branch one:
% 203.07/161.20 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.07/161.20 |
% 203.07/161.20 +-Applying beta-rule and splitting (6145), into two cases.
% 203.07/161.20 |-Branch one:
% 203.07/161.20 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.07/161.20 |
% 203.07/161.20 | Applying alpha-rule on (6146) yields:
% 203.07/161.20 | (6147) all_562_1_40879 = 0
% 203.07/161.20 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.07/161.20 |
% 203.07/161.20 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41472 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41472, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.07/161.20 | (7617) all_783_0_41472 = 0
% 203.07/161.20 |
% 203.07/161.20 | Equations (7617) can reduce 7622 to:
% 203.07/161.20 | (62) $false
% 203.07/161.20 |
% 203.07/161.20 |-The branch is then unsatisfiable
% 203.07/161.20 |-Branch two:
% 203.07/161.20 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.07/161.20 |
% 203.07/161.20 | Applying alpha-rule on (6151) yields:
% 203.07/161.20 | (6152) ~ (all_562_0_40878 = 0)
% 203.07/161.20 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.07/161.20 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.07/161.20 |
% 203.07/161.20 +-Applying beta-rule and splitting (7614), into two cases.
% 203.07/161.20 |-Branch one:
% 203.07/161.20 | (7639) (all_784_0_41473 = 0 & greater_or_equal(all_784_1_41474, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41474) | (all_784_0_41473 = 0 & greater(all_33_1_35, all_784_1_41474) = 0 & end_time(all_33_4_38) = all_784_1_41474)
% 203.07/161.20 |
% 203.07/161.21 +-Applying beta-rule and splitting (7639), into two cases.
% 203.07/161.21 |-Branch one:
% 203.07/161.21 | (7640) all_784_0_41473 = 0 & greater_or_equal(all_784_1_41474, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41474
% 203.07/161.21 |
% 203.07/161.21 | Applying alpha-rule on (7640) yields:
% 203.07/161.21 | (7641) all_784_0_41473 = 0
% 203.07/161.21 | (7642) greater_or_equal(all_784_1_41474, all_33_1_35) = 0
% 203.07/161.21 | (7643) end_time(all_33_4_38) = all_784_1_41474
% 203.07/161.21 |
% 203.07/161.21 | Instantiating formula (43) with all_33_4_38, all_784_1_41474, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41474, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.21 | (7644) all_784_1_41474 = all_33_1_35
% 203.07/161.21 |
% 203.07/161.21 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41474 and discharging atoms end_time(all_33_4_38) = all_784_1_41474, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.07/161.21 | (7645) all_784_1_41474 = all_562_1_40879
% 203.07/161.21 |
% 203.07/161.21 | Combining equations (7645,7644) yields a new equation:
% 203.07/161.21 | (6162) all_562_1_40879 = all_33_1_35
% 203.07/161.21 |
% 203.07/161.21 | Simplifying 6162 yields:
% 203.07/161.21 | (6163) all_562_1_40879 = all_33_1_35
% 203.07/161.21 |
% 203.07/161.21 | From (7644) and (7642) follows:
% 203.07/161.21 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.07/161.21 |
% 203.07/161.21 | From (6163) and (6153) follows:
% 203.07/161.21 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.07/161.21 |
% 203.07/161.21 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.07/161.21 | (6166) all_562_0_40878 = 0
% 203.07/161.21 |
% 203.07/161.21 | Equations (6166) can reduce 6152 to:
% 203.07/161.21 | (62) $false
% 203.07/161.21 |
% 203.07/161.21 |-The branch is then unsatisfiable
% 203.07/161.21 |-Branch two:
% 203.07/161.21 | (7652) all_784_0_41473 = 0 & greater(all_33_1_35, all_784_1_41474) = 0 & end_time(all_33_4_38) = all_784_1_41474
% 203.07/161.21 |
% 203.07/161.21 | Applying alpha-rule on (7652) yields:
% 203.07/161.21 | (7641) all_784_0_41473 = 0
% 203.07/161.21 | (7654) greater(all_33_1_35, all_784_1_41474) = 0
% 203.07/161.21 | (7643) end_time(all_33_4_38) = all_784_1_41474
% 203.07/161.21 |
% 203.07/161.21 | Instantiating formula (43) with all_33_4_38, all_784_1_41474, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41474, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.21 | (7644) all_784_1_41474 = all_33_1_35
% 203.07/161.21 |
% 203.07/161.21 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41474 and discharging atoms end_time(all_33_4_38) = all_784_1_41474, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.07/161.21 | (7645) all_784_1_41474 = all_562_1_40879
% 203.07/161.21 |
% 203.07/161.21 | Combining equations (7645,7644) yields a new equation:
% 203.07/161.21 | (6162) all_562_1_40879 = all_33_1_35
% 203.07/161.21 |
% 203.07/161.21 | Simplifying 6162 yields:
% 203.07/161.21 | (6163) all_562_1_40879 = all_33_1_35
% 203.07/161.21 |
% 203.07/161.21 | From (6163) and (6153) follows:
% 203.07/161.21 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.07/161.21 |
% 203.07/161.21 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.07/161.21 | (6166) all_562_0_40878 = 0
% 203.07/161.21 |
% 203.07/161.21 | Equations (6166) can reduce 6152 to:
% 203.07/161.21 | (62) $false
% 203.07/161.21 |
% 203.07/161.21 |-The branch is then unsatisfiable
% 203.07/161.21 |-Branch two:
% 203.07/161.21 | (7663) ~ (all_784_1_41474 = 0) & environment(all_33_4_38) = all_784_1_41474
% 203.07/161.21 |
% 203.07/161.21 | Applying alpha-rule on (7663) yields:
% 203.07/161.21 | (7664) ~ (all_784_1_41474 = 0)
% 203.07/161.21 | (7665) environment(all_33_4_38) = all_784_1_41474
% 203.07/161.21 |
% 203.07/161.21 | Instantiating formula (35) with all_33_4_38, all_784_1_41474, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41474, environment(all_33_4_38) = 0, yields:
% 203.07/161.21 | (7666) all_784_1_41474 = 0
% 203.07/161.21 |
% 203.07/161.21 | Equations (7666) can reduce 7664 to:
% 203.07/161.21 | (62) $false
% 203.07/161.21 |
% 203.07/161.21 |-The branch is then unsatisfiable
% 203.07/161.21 |-Branch two:
% 203.07/161.21 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.07/161.21 |
% 203.07/161.22 | Applying alpha-rule on (6184) yields:
% 203.07/161.22 | (6185) ~ (all_562_1_40879 = 0)
% 203.07/161.22 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.07/161.22 |
% 203.07/161.22 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.07/161.22 | (6147) all_562_1_40879 = 0
% 203.07/161.22 |
% 203.07/161.22 | Equations (6147) can reduce 6185 to:
% 203.07/161.22 | (62) $false
% 203.07/161.22 |
% 203.07/161.22 |-The branch is then unsatisfiable
% 203.07/161.22 |-Branch two:
% 203.07/161.22 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.07/161.22 |
% 203.07/161.22 | Applying alpha-rule on (6257) yields:
% 203.07/161.22 | (6258) ~ (all_450_1_40846 = 0)
% 203.07/161.22 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.07/161.22 |
% 203.07/161.22 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.07/161.22 | (6260) all_450_1_40846 = 0
% 203.07/161.22 |
% 203.07/161.22 | Equations (6260) can reduce 6258 to:
% 203.07/161.22 | (62) $false
% 203.07/161.22 |
% 203.07/161.22 |-The branch is then unsatisfiable
% 203.07/161.22 |-Branch two:
% 203.07/161.22 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 203.07/161.22 |
% 203.07/161.22 | Applying alpha-rule on (6410) yields:
% 203.07/161.22 | (6411) ~ (all_449_1_40844 = 0)
% 203.07/161.22 | (6412) environment(all_33_4_38) = all_449_1_40844
% 203.07/161.22 |
% 203.07/161.22 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 203.07/161.22 | (6413) all_449_1_40844 = 0
% 203.07/161.22 |
% 203.07/161.22 | Equations (6413) can reduce 6411 to:
% 203.07/161.22 | (62) $false
% 203.07/161.22 |
% 203.07/161.22 |-The branch is then unsatisfiable
% 203.07/161.22 |-Branch two:
% 203.07/161.22 | (6415) all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 203.07/161.22 |
% 203.07/161.22 | Applying alpha-rule on (6415) yields:
% 203.07/161.22 | (6108) all_448_0_40841 = 0
% 203.07/161.22 | (6417) greater(all_114_2_98, all_448_1_40842) = 0
% 203.07/161.22 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 203.07/161.22 |
% 203.07/161.22 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.22 | (6111) all_448_1_40842 = all_33_1_35
% 203.07/161.22 |
% 203.07/161.22 | From (6111) and (6110) follows:
% 203.07/161.22 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.07/161.22 |
% 203.07/161.22 +-Applying beta-rule and splitting (6072), into two cases.
% 203.07/161.22 |-Branch one:
% 203.07/161.22 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 203.07/161.22 |
% 203.07/161.22 +-Applying beta-rule and splitting (6113), into two cases.
% 203.07/161.22 |-Branch one:
% 203.07/161.22 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.07/161.22 |
% 203.07/161.22 | Applying alpha-rule on (6114) yields:
% 203.07/161.22 | (6115) all_449_0_40843 = 0
% 203.07/161.22 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 203.07/161.22 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.07/161.22 |
% 203.07/161.22 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.22 | (6118) all_449_1_40844 = all_33_1_35
% 203.07/161.22 |
% 203.07/161.22 | From (6118) and (6117) follows:
% 203.07/161.22 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.07/161.22 |
% 203.07/161.22 +-Applying beta-rule and splitting (6073), into two cases.
% 203.07/161.22 |-Branch one:
% 203.07/161.22 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.07/161.22 |
% 203.07/161.22 +-Applying beta-rule and splitting (6120), into two cases.
% 203.07/161.22 |-Branch one:
% 203.07/161.22 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.07/161.22 |
% 203.07/161.22 | Applying alpha-rule on (6121) yields:
% 203.07/161.22 | (6122) all_450_0_40845 = 0
% 203.07/161.22 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.07/161.22 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.07/161.22 |
% 203.07/161.22 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.23 | (6125) all_450_1_40846 = all_33_1_35
% 203.07/161.23 |
% 203.07/161.23 | From (6125) and (6124) follows:
% 203.07/161.23 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.07/161.23 |
% 203.07/161.23 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.07/161.23 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.07/161.23 |
% 203.07/161.23 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.07/161.23 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.07/161.23 |
% 203.07/161.23 | Instantiating (287) with all_779_0_41495 yields:
% 203.07/161.23 | (7705) (all_779_0_41495 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41495 = 0) & environment(all_33_4_38) = all_779_0_41495) | ( ~ (all_779_0_41495 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41495)
% 203.07/161.23 |
% 203.07/161.23 | Instantiating (6127) with all_788_0_41511, all_788_1_41512 yields:
% 203.07/161.23 | (7706) (all_788_0_41511 = 0 & greater_or_equal(all_788_1_41512, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41512) | (all_788_0_41511 = 0 & greater(all_33_1_35, all_788_1_41512) = 0 & end_time(all_33_4_38) = all_788_1_41512) | ( ~ (all_788_1_41512 = 0) & environment(all_33_4_38) = all_788_1_41512)
% 203.07/161.23 |
% 203.07/161.23 +-Applying beta-rule and splitting (7705), into two cases.
% 203.07/161.23 |-Branch one:
% 203.07/161.23 | (7707) (all_779_0_41495 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41495 = 0) & environment(all_33_4_38) = all_779_0_41495)
% 203.07/161.23 |
% 203.07/161.23 +-Applying beta-rule and splitting (7707), into two cases.
% 203.07/161.23 |-Branch one:
% 203.07/161.23 | (7708) all_779_0_41495 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.07/161.23 |
% 203.07/161.23 | Applying alpha-rule on (7708) yields:
% 203.07/161.23 | (7709) all_779_0_41495 = 0
% 203.07/161.23 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.07/161.23 |
% 203.07/161.23 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.07/161.23 | (109) all_33_0_34 = 0
% 203.07/161.23 |
% 203.07/161.23 | Equations (109) can reduce 72 to:
% 203.07/161.23 | (62) $false
% 203.07/161.23 |
% 203.07/161.23 |-The branch is then unsatisfiable
% 203.07/161.23 |-Branch two:
% 203.07/161.23 | (7713) ~ (all_779_0_41495 = 0) & environment(all_33_4_38) = all_779_0_41495
% 203.07/161.23 |
% 203.07/161.23 | Applying alpha-rule on (7713) yields:
% 203.07/161.23 | (7714) ~ (all_779_0_41495 = 0)
% 203.07/161.23 | (7715) environment(all_33_4_38) = all_779_0_41495
% 203.07/161.23 |
% 203.07/161.23 | Instantiating formula (35) with all_33_4_38, all_779_0_41495, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41495, environment(all_33_4_38) = 0, yields:
% 203.07/161.23 | (7709) all_779_0_41495 = 0
% 203.07/161.23 |
% 203.07/161.23 | Equations (7709) can reduce 7714 to:
% 203.07/161.23 | (62) $false
% 203.07/161.23 |
% 203.07/161.23 |-The branch is then unsatisfiable
% 203.07/161.23 |-Branch two:
% 203.07/161.23 | (7718) ~ (all_779_0_41495 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41495
% 203.07/161.23 |
% 203.07/161.23 | Applying alpha-rule on (7718) yields:
% 203.07/161.23 | (7714) ~ (all_779_0_41495 = 0)
% 203.07/161.23 | (7720) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41495
% 203.07/161.23 |
% 203.07/161.23 +-Applying beta-rule and splitting (6084), into two cases.
% 203.07/161.23 |-Branch one:
% 203.07/161.23 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.07/161.23 |
% 203.07/161.23 +-Applying beta-rule and splitting (6145), into two cases.
% 203.07/161.23 |-Branch one:
% 203.07/161.23 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.07/161.23 |
% 203.07/161.23 | Applying alpha-rule on (6146) yields:
% 203.07/161.23 | (6147) all_562_1_40879 = 0
% 203.07/161.23 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.07/161.23 |
% 203.07/161.23 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41495 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41495, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.07/161.23 | (7709) all_779_0_41495 = 0
% 203.07/161.23 |
% 203.07/161.23 | Equations (7709) can reduce 7714 to:
% 203.07/161.23 | (62) $false
% 203.07/161.23 |
% 203.07/161.23 |-The branch is then unsatisfiable
% 203.07/161.23 |-Branch two:
% 203.07/161.23 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.07/161.23 |
% 203.07/161.23 | Applying alpha-rule on (6151) yields:
% 203.07/161.23 | (6152) ~ (all_562_0_40878 = 0)
% 203.07/161.23 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.07/161.23 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.07/161.23 |
% 203.07/161.23 +-Applying beta-rule and splitting (7706), into two cases.
% 203.07/161.23 |-Branch one:
% 203.07/161.23 | (7731) (all_788_0_41511 = 0 & greater_or_equal(all_788_1_41512, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41512) | (all_788_0_41511 = 0 & greater(all_33_1_35, all_788_1_41512) = 0 & end_time(all_33_4_38) = all_788_1_41512)
% 203.07/161.23 |
% 203.07/161.23 +-Applying beta-rule and splitting (7731), into two cases.
% 203.07/161.23 |-Branch one:
% 203.07/161.23 | (7732) all_788_0_41511 = 0 & greater_or_equal(all_788_1_41512, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41512
% 203.07/161.23 |
% 203.07/161.23 | Applying alpha-rule on (7732) yields:
% 203.07/161.23 | (7733) all_788_0_41511 = 0
% 203.07/161.24 | (7734) greater_or_equal(all_788_1_41512, all_33_1_35) = 0
% 203.07/161.24 | (7735) end_time(all_33_4_38) = all_788_1_41512
% 203.07/161.24 |
% 203.07/161.24 | Instantiating formula (43) with all_33_4_38, all_788_1_41512, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41512, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.24 | (7736) all_788_1_41512 = all_33_1_35
% 203.07/161.24 |
% 203.07/161.24 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41512 and discharging atoms end_time(all_33_4_38) = all_788_1_41512, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.07/161.24 | (7737) all_788_1_41512 = all_562_1_40879
% 203.07/161.24 |
% 203.07/161.24 | Combining equations (7737,7736) yields a new equation:
% 203.07/161.24 | (6162) all_562_1_40879 = all_33_1_35
% 203.07/161.24 |
% 203.07/161.24 | Simplifying 6162 yields:
% 203.07/161.24 | (6163) all_562_1_40879 = all_33_1_35
% 203.07/161.24 |
% 203.07/161.24 | From (7736) and (7734) follows:
% 203.07/161.24 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.07/161.24 |
% 203.07/161.24 | From (6163) and (6153) follows:
% 203.07/161.24 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.07/161.24 |
% 203.07/161.24 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.07/161.24 | (6166) all_562_0_40878 = 0
% 203.07/161.24 |
% 203.07/161.24 | Equations (6166) can reduce 6152 to:
% 203.07/161.24 | (62) $false
% 203.07/161.24 |
% 203.07/161.24 |-The branch is then unsatisfiable
% 203.07/161.24 |-Branch two:
% 203.07/161.24 | (7744) all_788_0_41511 = 0 & greater(all_33_1_35, all_788_1_41512) = 0 & end_time(all_33_4_38) = all_788_1_41512
% 203.07/161.24 |
% 203.07/161.24 | Applying alpha-rule on (7744) yields:
% 203.07/161.24 | (7733) all_788_0_41511 = 0
% 203.07/161.24 | (7746) greater(all_33_1_35, all_788_1_41512) = 0
% 203.07/161.24 | (7735) end_time(all_33_4_38) = all_788_1_41512
% 203.07/161.24 |
% 203.07/161.24 | Instantiating formula (43) with all_33_4_38, all_788_1_41512, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41512, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.24 | (7736) all_788_1_41512 = all_33_1_35
% 203.07/161.24 |
% 203.07/161.24 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41512 and discharging atoms end_time(all_33_4_38) = all_788_1_41512, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.07/161.24 | (7737) all_788_1_41512 = all_562_1_40879
% 203.07/161.24 |
% 203.07/161.24 | Combining equations (7737,7736) yields a new equation:
% 203.07/161.24 | (6162) all_562_1_40879 = all_33_1_35
% 203.07/161.24 |
% 203.07/161.24 | Simplifying 6162 yields:
% 203.07/161.24 | (6163) all_562_1_40879 = all_33_1_35
% 203.07/161.24 |
% 203.07/161.24 | From (6163) and (6153) follows:
% 203.07/161.24 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.07/161.24 |
% 203.07/161.24 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.07/161.24 | (6166) all_562_0_40878 = 0
% 203.07/161.24 |
% 203.07/161.24 | Equations (6166) can reduce 6152 to:
% 203.07/161.24 | (62) $false
% 203.07/161.24 |
% 203.07/161.24 |-The branch is then unsatisfiable
% 203.07/161.24 |-Branch two:
% 203.07/161.24 | (7755) ~ (all_788_1_41512 = 0) & environment(all_33_4_38) = all_788_1_41512
% 203.07/161.24 |
% 203.07/161.24 | Applying alpha-rule on (7755) yields:
% 203.07/161.24 | (7756) ~ (all_788_1_41512 = 0)
% 203.07/161.24 | (7757) environment(all_33_4_38) = all_788_1_41512
% 203.07/161.24 |
% 203.07/161.24 | Instantiating formula (35) with all_33_4_38, all_788_1_41512, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41512, environment(all_33_4_38) = 0, yields:
% 203.07/161.24 | (7758) all_788_1_41512 = 0
% 203.07/161.24 |
% 203.07/161.24 | Equations (7758) can reduce 7756 to:
% 203.07/161.24 | (62) $false
% 203.07/161.24 |
% 203.07/161.24 |-The branch is then unsatisfiable
% 203.07/161.24 |-Branch two:
% 203.07/161.24 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.07/161.24 |
% 203.07/161.24 | Applying alpha-rule on (6184) yields:
% 203.07/161.24 | (6185) ~ (all_562_1_40879 = 0)
% 203.07/161.24 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.07/161.24 |
% 203.07/161.24 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.07/161.24 | (6147) all_562_1_40879 = 0
% 203.07/161.24 |
% 203.07/161.24 | Equations (6147) can reduce 6185 to:
% 203.07/161.24 | (62) $false
% 203.07/161.24 |
% 203.07/161.24 |-The branch is then unsatisfiable
% 203.07/161.25 |-Branch two:
% 203.07/161.25 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.07/161.25 |
% 203.07/161.25 | Applying alpha-rule on (6189) yields:
% 203.07/161.25 | (6122) all_450_0_40845 = 0
% 203.07/161.25 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.07/161.25 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.07/161.25 |
% 203.07/161.25 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.25 | (6125) all_450_1_40846 = all_33_1_35
% 203.07/161.25 |
% 203.07/161.25 | From (6125) and (6124) follows:
% 203.07/161.25 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.07/161.25 |
% 203.07/161.25 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.07/161.25 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.07/161.25 |
% 203.07/161.25 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.07/161.25 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.07/161.25 |
% 203.07/161.25 | Instantiating (287) with all_783_0_41532 yields:
% 203.07/161.25 | (7773) (all_783_0_41532 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41532 = 0) & environment(all_33_4_38) = all_783_0_41532) | ( ~ (all_783_0_41532 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41532)
% 203.07/161.25 |
% 203.07/161.25 | Instantiating (6127) with all_784_0_41533, all_784_1_41534 yields:
% 203.07/161.25 | (7774) (all_784_0_41533 = 0 & greater_or_equal(all_784_1_41534, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41534) | (all_784_0_41533 = 0 & greater(all_33_1_35, all_784_1_41534) = 0 & end_time(all_33_4_38) = all_784_1_41534) | ( ~ (all_784_1_41534 = 0) & environment(all_33_4_38) = all_784_1_41534)
% 203.07/161.25 |
% 203.07/161.25 +-Applying beta-rule and splitting (7773), into two cases.
% 203.07/161.25 |-Branch one:
% 203.07/161.25 | (7775) (all_783_0_41532 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41532 = 0) & environment(all_33_4_38) = all_783_0_41532)
% 203.07/161.25 |
% 203.07/161.25 +-Applying beta-rule and splitting (7775), into two cases.
% 203.07/161.25 |-Branch one:
% 203.07/161.25 | (7776) all_783_0_41532 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.07/161.25 |
% 203.07/161.25 | Applying alpha-rule on (7776) yields:
% 203.07/161.25 | (7777) all_783_0_41532 = 0
% 203.07/161.25 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.07/161.25 |
% 203.07/161.25 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.07/161.25 | (109) all_33_0_34 = 0
% 203.07/161.25 |
% 203.07/161.25 | Equations (109) can reduce 72 to:
% 203.07/161.25 | (62) $false
% 203.07/161.25 |
% 203.07/161.25 |-The branch is then unsatisfiable
% 203.07/161.25 |-Branch two:
% 203.07/161.25 | (7781) ~ (all_783_0_41532 = 0) & environment(all_33_4_38) = all_783_0_41532
% 203.07/161.25 |
% 203.07/161.25 | Applying alpha-rule on (7781) yields:
% 203.07/161.25 | (7782) ~ (all_783_0_41532 = 0)
% 203.07/161.25 | (7783) environment(all_33_4_38) = all_783_0_41532
% 203.07/161.25 |
% 203.07/161.25 | Instantiating formula (35) with all_33_4_38, all_783_0_41532, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41532, environment(all_33_4_38) = 0, yields:
% 203.07/161.25 | (7777) all_783_0_41532 = 0
% 203.07/161.25 |
% 203.07/161.25 | Equations (7777) can reduce 7782 to:
% 203.07/161.25 | (62) $false
% 203.07/161.25 |
% 203.07/161.25 |-The branch is then unsatisfiable
% 203.07/161.25 |-Branch two:
% 203.07/161.25 | (7786) ~ (all_783_0_41532 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41532
% 203.07/161.25 |
% 203.07/161.25 | Applying alpha-rule on (7786) yields:
% 203.07/161.25 | (7782) ~ (all_783_0_41532 = 0)
% 203.07/161.25 | (7788) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41532
% 203.07/161.25 |
% 203.07/161.25 +-Applying beta-rule and splitting (6084), into two cases.
% 203.07/161.25 |-Branch one:
% 203.07/161.25 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.07/161.25 |
% 203.07/161.25 +-Applying beta-rule and splitting (6145), into two cases.
% 203.07/161.25 |-Branch one:
% 203.07/161.25 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.07/161.25 |
% 203.07/161.25 | Applying alpha-rule on (6146) yields:
% 203.07/161.25 | (6147) all_562_1_40879 = 0
% 203.07/161.25 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.07/161.25 |
% 203.07/161.25 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41532 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41532, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.07/161.25 | (7777) all_783_0_41532 = 0
% 203.07/161.25 |
% 203.07/161.25 | Equations (7777) can reduce 7782 to:
% 203.07/161.25 | (62) $false
% 203.07/161.25 |
% 203.07/161.25 |-The branch is then unsatisfiable
% 203.07/161.25 |-Branch two:
% 203.07/161.25 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.07/161.25 |
% 203.07/161.25 | Applying alpha-rule on (6151) yields:
% 203.07/161.25 | (6152) ~ (all_562_0_40878 = 0)
% 203.07/161.25 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.07/161.25 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.07/161.25 |
% 203.07/161.26 +-Applying beta-rule and splitting (7774), into two cases.
% 203.07/161.26 |-Branch one:
% 203.07/161.26 | (7799) (all_784_0_41533 = 0 & greater_or_equal(all_784_1_41534, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41534) | (all_784_0_41533 = 0 & greater(all_33_1_35, all_784_1_41534) = 0 & end_time(all_33_4_38) = all_784_1_41534)
% 203.07/161.26 |
% 203.07/161.26 +-Applying beta-rule and splitting (7799), into two cases.
% 203.07/161.26 |-Branch one:
% 203.07/161.26 | (7800) all_784_0_41533 = 0 & greater_or_equal(all_784_1_41534, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41534
% 203.07/161.26 |
% 203.07/161.26 | Applying alpha-rule on (7800) yields:
% 203.07/161.26 | (7801) all_784_0_41533 = 0
% 203.07/161.26 | (7802) greater_or_equal(all_784_1_41534, all_33_1_35) = 0
% 203.07/161.26 | (7803) end_time(all_33_4_38) = all_784_1_41534
% 203.07/161.26 |
% 203.07/161.26 | Instantiating formula (43) with all_33_4_38, all_784_1_41534, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41534, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.26 | (7804) all_784_1_41534 = all_33_1_35
% 203.07/161.26 |
% 203.07/161.26 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41534 and discharging atoms end_time(all_33_4_38) = all_784_1_41534, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.07/161.26 | (7805) all_784_1_41534 = all_562_1_40879
% 203.07/161.26 |
% 203.07/161.26 | Combining equations (7805,7804) yields a new equation:
% 203.07/161.26 | (6162) all_562_1_40879 = all_33_1_35
% 203.07/161.26 |
% 203.07/161.26 | Simplifying 6162 yields:
% 203.07/161.26 | (6163) all_562_1_40879 = all_33_1_35
% 203.07/161.26 |
% 203.07/161.26 | From (7804) and (7802) follows:
% 203.07/161.26 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.07/161.26 |
% 203.07/161.26 | From (6163) and (6153) follows:
% 203.07/161.26 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.07/161.26 |
% 203.07/161.26 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.07/161.26 | (6166) all_562_0_40878 = 0
% 203.07/161.26 |
% 203.07/161.26 | Equations (6166) can reduce 6152 to:
% 203.07/161.26 | (62) $false
% 203.07/161.26 |
% 203.07/161.26 |-The branch is then unsatisfiable
% 203.07/161.26 |-Branch two:
% 203.07/161.26 | (7812) all_784_0_41533 = 0 & greater(all_33_1_35, all_784_1_41534) = 0 & end_time(all_33_4_38) = all_784_1_41534
% 203.07/161.26 |
% 203.07/161.26 | Applying alpha-rule on (7812) yields:
% 203.07/161.26 | (7801) all_784_0_41533 = 0
% 203.07/161.26 | (7814) greater(all_33_1_35, all_784_1_41534) = 0
% 203.07/161.26 | (7803) end_time(all_33_4_38) = all_784_1_41534
% 203.07/161.26 |
% 203.07/161.26 | Instantiating formula (43) with all_33_4_38, all_784_1_41534, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41534, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.26 | (7804) all_784_1_41534 = all_33_1_35
% 203.07/161.26 |
% 203.07/161.26 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41534 and discharging atoms end_time(all_33_4_38) = all_784_1_41534, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.07/161.26 | (7805) all_784_1_41534 = all_562_1_40879
% 203.07/161.26 |
% 203.07/161.26 | Combining equations (7805,7804) yields a new equation:
% 203.07/161.26 | (6162) all_562_1_40879 = all_33_1_35
% 203.07/161.26 |
% 203.07/161.26 | Simplifying 6162 yields:
% 203.07/161.26 | (6163) all_562_1_40879 = all_33_1_35
% 203.07/161.26 |
% 203.07/161.26 | From (6163) and (6153) follows:
% 203.07/161.26 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.07/161.26 |
% 203.07/161.26 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.07/161.26 | (6166) all_562_0_40878 = 0
% 203.07/161.26 |
% 203.07/161.26 | Equations (6166) can reduce 6152 to:
% 203.07/161.26 | (62) $false
% 203.07/161.26 |
% 203.07/161.26 |-The branch is then unsatisfiable
% 203.07/161.26 |-Branch two:
% 203.07/161.26 | (7823) ~ (all_784_1_41534 = 0) & environment(all_33_4_38) = all_784_1_41534
% 203.07/161.26 |
% 203.07/161.26 | Applying alpha-rule on (7823) yields:
% 203.07/161.26 | (7824) ~ (all_784_1_41534 = 0)
% 203.07/161.26 | (7825) environment(all_33_4_38) = all_784_1_41534
% 203.07/161.26 |
% 203.07/161.26 | Instantiating formula (35) with all_33_4_38, all_784_1_41534, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41534, environment(all_33_4_38) = 0, yields:
% 203.07/161.26 | (7826) all_784_1_41534 = 0
% 203.07/161.26 |
% 203.07/161.26 | Equations (7826) can reduce 7824 to:
% 203.07/161.26 | (62) $false
% 203.07/161.26 |
% 203.07/161.26 |-The branch is then unsatisfiable
% 203.07/161.27 |-Branch two:
% 203.07/161.27 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.07/161.27 |
% 203.07/161.27 | Applying alpha-rule on (6184) yields:
% 203.07/161.27 | (6185) ~ (all_562_1_40879 = 0)
% 203.07/161.27 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.07/161.27 |
% 203.07/161.27 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.07/161.27 | (6147) all_562_1_40879 = 0
% 203.07/161.27 |
% 203.07/161.27 | Equations (6147) can reduce 6185 to:
% 203.07/161.27 | (62) $false
% 203.07/161.27 |
% 203.07/161.27 |-The branch is then unsatisfiable
% 203.07/161.27 |-Branch two:
% 203.07/161.27 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.07/161.27 |
% 203.07/161.27 | Applying alpha-rule on (6257) yields:
% 203.07/161.27 | (6258) ~ (all_450_1_40846 = 0)
% 203.07/161.27 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.07/161.27 |
% 203.07/161.27 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.07/161.27 | (6260) all_450_1_40846 = 0
% 203.07/161.27 |
% 203.07/161.27 | Equations (6260) can reduce 6258 to:
% 203.07/161.27 | (62) $false
% 203.07/161.27 |
% 203.07/161.27 |-The branch is then unsatisfiable
% 203.07/161.27 |-Branch two:
% 203.07/161.27 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.07/161.27 |
% 203.07/161.27 | Applying alpha-rule on (6262) yields:
% 203.07/161.27 | (6115) all_449_0_40843 = 0
% 203.07/161.27 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 203.07/161.27 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.07/161.27 |
% 203.07/161.27 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.27 | (6118) all_449_1_40844 = all_33_1_35
% 203.07/161.27 |
% 203.07/161.27 | From (6118) and (6117) follows:
% 203.07/161.27 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.07/161.27 |
% 203.07/161.27 +-Applying beta-rule and splitting (6073), into two cases.
% 203.07/161.27 |-Branch one:
% 203.07/161.27 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.07/161.27 |
% 203.07/161.27 +-Applying beta-rule and splitting (6120), into two cases.
% 203.07/161.27 |-Branch one:
% 203.07/161.27 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.07/161.27 |
% 203.07/161.27 | Applying alpha-rule on (6121) yields:
% 203.07/161.27 | (6122) all_450_0_40845 = 0
% 203.07/161.27 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.07/161.27 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.07/161.27 |
% 203.07/161.27 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.07/161.27 | (6125) all_450_1_40846 = all_33_1_35
% 203.07/161.27 |
% 203.07/161.27 | From (6125) and (6124) follows:
% 203.07/161.27 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.07/161.27 |
% 203.07/161.27 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.07/161.27 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.07/161.27 |
% 203.07/161.27 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.07/161.27 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.07/161.27 |
% 203.07/161.27 | Instantiating (287) with all_783_0_41562 yields:
% 203.07/161.27 | (7853) (all_783_0_41562 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41562 = 0) & environment(all_33_4_38) = all_783_0_41562) | ( ~ (all_783_0_41562 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41562)
% 203.07/161.27 |
% 203.07/161.27 | Instantiating (6127) with all_784_0_41563, all_784_1_41564 yields:
% 203.07/161.27 | (7854) (all_784_0_41563 = 0 & greater_or_equal(all_784_1_41564, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41564) | (all_784_0_41563 = 0 & greater(all_33_1_35, all_784_1_41564) = 0 & end_time(all_33_4_38) = all_784_1_41564) | ( ~ (all_784_1_41564 = 0) & environment(all_33_4_38) = all_784_1_41564)
% 203.07/161.27 |
% 203.07/161.27 +-Applying beta-rule and splitting (7853), into two cases.
% 203.07/161.27 |-Branch one:
% 203.07/161.27 | (7855) (all_783_0_41562 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41562 = 0) & environment(all_33_4_38) = all_783_0_41562)
% 203.07/161.27 |
% 203.07/161.27 +-Applying beta-rule and splitting (7855), into two cases.
% 203.07/161.27 |-Branch one:
% 203.07/161.27 | (7856) all_783_0_41562 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.07/161.27 |
% 203.07/161.27 | Applying alpha-rule on (7856) yields:
% 203.07/161.27 | (7857) all_783_0_41562 = 0
% 203.07/161.27 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.07/161.27 |
% 203.07/161.27 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.07/161.27 | (109) all_33_0_34 = 0
% 203.07/161.27 |
% 203.07/161.27 | Equations (109) can reduce 72 to:
% 203.07/161.27 | (62) $false
% 203.07/161.27 |
% 203.07/161.27 |-The branch is then unsatisfiable
% 203.07/161.27 |-Branch two:
% 203.07/161.27 | (7861) ~ (all_783_0_41562 = 0) & environment(all_33_4_38) = all_783_0_41562
% 203.07/161.27 |
% 203.07/161.27 | Applying alpha-rule on (7861) yields:
% 203.07/161.28 | (7862) ~ (all_783_0_41562 = 0)
% 203.07/161.28 | (7863) environment(all_33_4_38) = all_783_0_41562
% 203.07/161.28 |
% 203.07/161.28 | Instantiating formula (35) with all_33_4_38, all_783_0_41562, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41562, environment(all_33_4_38) = 0, yields:
% 203.07/161.28 | (7857) all_783_0_41562 = 0
% 203.07/161.28 |
% 203.07/161.28 | Equations (7857) can reduce 7862 to:
% 203.07/161.28 | (62) $false
% 203.07/161.28 |
% 203.07/161.28 |-The branch is then unsatisfiable
% 203.07/161.28 |-Branch two:
% 203.07/161.28 | (7866) ~ (all_783_0_41562 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41562
% 203.07/161.28 |
% 203.07/161.28 | Applying alpha-rule on (7866) yields:
% 203.07/161.28 | (7862) ~ (all_783_0_41562 = 0)
% 203.07/161.28 | (7868) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41562
% 203.07/161.28 |
% 203.07/161.28 +-Applying beta-rule and splitting (6084), into two cases.
% 203.07/161.28 |-Branch one:
% 203.07/161.28 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.07/161.28 |
% 203.07/161.28 +-Applying beta-rule and splitting (6145), into two cases.
% 203.07/161.28 |-Branch one:
% 203.07/161.28 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.07/161.28 |
% 203.07/161.28 | Applying alpha-rule on (6146) yields:
% 203.07/161.28 | (6147) all_562_1_40879 = 0
% 203.07/161.28 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.07/161.28 |
% 203.07/161.28 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41562 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41562, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.07/161.28 | (7857) all_783_0_41562 = 0
% 203.07/161.28 |
% 203.36/161.28 | Equations (7857) can reduce 7862 to:
% 203.36/161.28 | (62) $false
% 203.36/161.28 |
% 203.36/161.28 |-The branch is then unsatisfiable
% 203.36/161.28 |-Branch two:
% 203.36/161.28 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.36/161.28 |
% 203.36/161.28 | Applying alpha-rule on (6151) yields:
% 203.36/161.28 | (6152) ~ (all_562_0_40878 = 0)
% 203.36/161.28 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.36/161.28 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.36/161.28 |
% 203.36/161.28 +-Applying beta-rule and splitting (7854), into two cases.
% 203.36/161.28 |-Branch one:
% 203.36/161.28 | (7879) (all_784_0_41563 = 0 & greater_or_equal(all_784_1_41564, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41564) | (all_784_0_41563 = 0 & greater(all_33_1_35, all_784_1_41564) = 0 & end_time(all_33_4_38) = all_784_1_41564)
% 203.36/161.28 |
% 203.36/161.28 +-Applying beta-rule and splitting (7879), into two cases.
% 203.36/161.28 |-Branch one:
% 203.36/161.28 | (7880) all_784_0_41563 = 0 & greater_or_equal(all_784_1_41564, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41564
% 203.36/161.28 |
% 203.36/161.28 | Applying alpha-rule on (7880) yields:
% 203.36/161.28 | (7881) all_784_0_41563 = 0
% 203.36/161.28 | (7882) greater_or_equal(all_784_1_41564, all_33_1_35) = 0
% 203.36/161.28 | (7883) end_time(all_33_4_38) = all_784_1_41564
% 203.36/161.28 |
% 203.36/161.28 | Instantiating formula (43) with all_33_4_38, all_784_1_41564, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41564, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.36/161.28 | (7884) all_784_1_41564 = all_33_1_35
% 203.36/161.28 |
% 203.36/161.28 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41564 and discharging atoms end_time(all_33_4_38) = all_784_1_41564, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.36/161.28 | (7885) all_784_1_41564 = all_562_1_40879
% 203.36/161.28 |
% 203.36/161.28 | Combining equations (7885,7884) yields a new equation:
% 203.36/161.28 | (6162) all_562_1_40879 = all_33_1_35
% 203.36/161.28 |
% 203.36/161.28 | Simplifying 6162 yields:
% 203.36/161.28 | (6163) all_562_1_40879 = all_33_1_35
% 203.36/161.28 |
% 203.36/161.28 | From (7884) and (7882) follows:
% 203.36/161.28 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.36/161.28 |
% 203.36/161.28 | From (6163) and (6153) follows:
% 203.36/161.28 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.36/161.28 |
% 203.36/161.28 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.36/161.28 | (6166) all_562_0_40878 = 0
% 203.36/161.28 |
% 203.36/161.28 | Equations (6166) can reduce 6152 to:
% 203.36/161.28 | (62) $false
% 203.36/161.28 |
% 203.36/161.28 |-The branch is then unsatisfiable
% 203.36/161.28 |-Branch two:
% 203.36/161.28 | (7892) all_784_0_41563 = 0 & greater(all_33_1_35, all_784_1_41564) = 0 & end_time(all_33_4_38) = all_784_1_41564
% 203.36/161.28 |
% 203.36/161.28 | Applying alpha-rule on (7892) yields:
% 203.36/161.29 | (7881) all_784_0_41563 = 0
% 203.36/161.29 | (7894) greater(all_33_1_35, all_784_1_41564) = 0
% 203.36/161.29 | (7883) end_time(all_33_4_38) = all_784_1_41564
% 203.36/161.29 |
% 203.36/161.29 | Instantiating formula (43) with all_33_4_38, all_784_1_41564, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41564, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.36/161.29 | (7884) all_784_1_41564 = all_33_1_35
% 203.36/161.29 |
% 203.36/161.29 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41564 and discharging atoms end_time(all_33_4_38) = all_784_1_41564, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.36/161.29 | (7885) all_784_1_41564 = all_562_1_40879
% 203.36/161.29 |
% 203.36/161.29 | Combining equations (7885,7884) yields a new equation:
% 203.36/161.29 | (6162) all_562_1_40879 = all_33_1_35
% 203.36/161.29 |
% 203.36/161.29 | Simplifying 6162 yields:
% 203.36/161.29 | (6163) all_562_1_40879 = all_33_1_35
% 203.36/161.29 |
% 203.36/161.29 | From (6163) and (6153) follows:
% 203.36/161.29 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.36/161.29 |
% 203.36/161.29 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.36/161.29 | (6166) all_562_0_40878 = 0
% 203.36/161.29 |
% 203.36/161.29 | Equations (6166) can reduce 6152 to:
% 203.36/161.29 | (62) $false
% 203.36/161.29 |
% 203.36/161.29 |-The branch is then unsatisfiable
% 203.36/161.29 |-Branch two:
% 203.36/161.29 | (7903) ~ (all_784_1_41564 = 0) & environment(all_33_4_38) = all_784_1_41564
% 203.36/161.29 |
% 203.36/161.29 | Applying alpha-rule on (7903) yields:
% 203.36/161.29 | (7904) ~ (all_784_1_41564 = 0)
% 203.36/161.29 | (7905) environment(all_33_4_38) = all_784_1_41564
% 203.36/161.29 |
% 203.36/161.29 | Instantiating formula (35) with all_33_4_38, all_784_1_41564, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41564, environment(all_33_4_38) = 0, yields:
% 203.36/161.29 | (7906) all_784_1_41564 = 0
% 203.36/161.29 |
% 203.36/161.29 | Equations (7906) can reduce 7904 to:
% 203.36/161.29 | (62) $false
% 203.36/161.29 |
% 203.36/161.29 |-The branch is then unsatisfiable
% 203.36/161.29 |-Branch two:
% 203.36/161.29 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.36/161.29 |
% 203.36/161.29 | Applying alpha-rule on (6184) yields:
% 203.36/161.29 | (6185) ~ (all_562_1_40879 = 0)
% 203.36/161.29 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.36/161.29 |
% 203.36/161.29 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.36/161.29 | (6147) all_562_1_40879 = 0
% 203.36/161.29 |
% 203.36/161.29 | Equations (6147) can reduce 6185 to:
% 203.36/161.29 | (62) $false
% 203.36/161.29 |
% 203.36/161.29 |-The branch is then unsatisfiable
% 203.36/161.29 |-Branch two:
% 203.36/161.29 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.36/161.29 |
% 203.36/161.29 | Applying alpha-rule on (6189) yields:
% 203.36/161.29 | (6122) all_450_0_40845 = 0
% 203.36/161.29 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.36/161.29 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.36/161.29 |
% 203.36/161.29 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.36/161.29 | (6125) all_450_1_40846 = all_33_1_35
% 203.36/161.29 |
% 203.36/161.29 | From (6125) and (6124) follows:
% 203.36/161.29 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.36/161.29 |
% 203.36/161.29 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.36/161.29 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.36/161.29 |
% 203.36/161.29 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.36/161.29 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.36/161.29 |
% 203.36/161.29 | Instantiating (6127) with all_789_0_41603, all_789_1_41604 yields:
% 203.36/161.29 | (7921) (all_789_0_41603 = 0 & greater_or_equal(all_789_1_41604, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41604) | (all_789_0_41603 = 0 & greater(all_33_1_35, all_789_1_41604) = 0 & end_time(all_33_4_38) = all_789_1_41604) | ( ~ (all_789_1_41604 = 0) & environment(all_33_4_38) = all_789_1_41604)
% 203.36/161.29 |
% 203.36/161.29 | Instantiating (287) with all_790_0_41605 yields:
% 203.36/161.29 | (7922) (all_790_0_41605 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_41605 = 0) & environment(all_33_4_38) = all_790_0_41605) | ( ~ (all_790_0_41605 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_41605)
% 203.36/161.29 |
% 203.36/161.29 +-Applying beta-rule and splitting (7922), into two cases.
% 203.36/161.29 |-Branch one:
% 203.36/161.29 | (7923) (all_790_0_41605 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_41605 = 0) & environment(all_33_4_38) = all_790_0_41605)
% 203.36/161.29 |
% 203.36/161.29 +-Applying beta-rule and splitting (7923), into two cases.
% 203.36/161.29 |-Branch one:
% 203.36/161.30 | (7924) all_790_0_41605 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.36/161.30 |
% 203.36/161.30 | Applying alpha-rule on (7924) yields:
% 203.36/161.30 | (7925) all_790_0_41605 = 0
% 203.36/161.30 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.36/161.30 |
% 203.36/161.30 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.36/161.30 | (109) all_33_0_34 = 0
% 203.36/161.30 |
% 203.36/161.30 | Equations (109) can reduce 72 to:
% 203.36/161.30 | (62) $false
% 203.36/161.30 |
% 203.36/161.30 |-The branch is then unsatisfiable
% 203.36/161.30 |-Branch two:
% 203.36/161.30 | (7929) ~ (all_790_0_41605 = 0) & environment(all_33_4_38) = all_790_0_41605
% 203.36/161.30 |
% 203.36/161.30 | Applying alpha-rule on (7929) yields:
% 203.36/161.30 | (7930) ~ (all_790_0_41605 = 0)
% 203.36/161.30 | (7931) environment(all_33_4_38) = all_790_0_41605
% 203.36/161.30 |
% 203.36/161.30 | Instantiating formula (35) with all_33_4_38, all_790_0_41605, 0 and discharging atoms environment(all_33_4_38) = all_790_0_41605, environment(all_33_4_38) = 0, yields:
% 203.36/161.30 | (7925) all_790_0_41605 = 0
% 203.36/161.30 |
% 203.36/161.30 | Equations (7925) can reduce 7930 to:
% 203.36/161.30 | (62) $false
% 203.36/161.30 |
% 203.36/161.30 |-The branch is then unsatisfiable
% 203.40/161.30 |-Branch two:
% 203.40/161.30 | (7934) ~ (all_790_0_41605 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_41605
% 203.40/161.30 |
% 203.40/161.30 | Applying alpha-rule on (7934) yields:
% 203.40/161.30 | (7930) ~ (all_790_0_41605 = 0)
% 203.40/161.30 | (7936) in_environment(all_33_4_38, all_33_1_35) = all_790_0_41605
% 203.40/161.30 |
% 203.40/161.30 +-Applying beta-rule and splitting (6084), into two cases.
% 203.40/161.30 |-Branch one:
% 203.40/161.30 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.40/161.30 |
% 203.40/161.30 +-Applying beta-rule and splitting (6145), into two cases.
% 203.40/161.30 |-Branch one:
% 203.40/161.30 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.40/161.30 |
% 203.40/161.30 | Applying alpha-rule on (6146) yields:
% 203.40/161.30 | (6147) all_562_1_40879 = 0
% 203.40/161.30 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.40/161.30 |
% 203.40/161.30 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_41605 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_41605, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.40/161.30 | (7925) all_790_0_41605 = 0
% 203.40/161.30 |
% 203.40/161.30 | Equations (7925) can reduce 7930 to:
% 203.40/161.30 | (62) $false
% 203.40/161.30 |
% 203.40/161.30 |-The branch is then unsatisfiable
% 203.40/161.30 |-Branch two:
% 203.40/161.30 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.40/161.30 |
% 203.40/161.30 | Applying alpha-rule on (6151) yields:
% 203.40/161.30 | (6152) ~ (all_562_0_40878 = 0)
% 203.40/161.30 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.40/161.30 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.40/161.30 |
% 203.40/161.30 +-Applying beta-rule and splitting (7921), into two cases.
% 203.40/161.30 |-Branch one:
% 203.40/161.30 | (7947) (all_789_0_41603 = 0 & greater_or_equal(all_789_1_41604, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41604) | (all_789_0_41603 = 0 & greater(all_33_1_35, all_789_1_41604) = 0 & end_time(all_33_4_38) = all_789_1_41604)
% 203.40/161.30 |
% 203.40/161.30 +-Applying beta-rule and splitting (7947), into two cases.
% 203.40/161.30 |-Branch one:
% 203.40/161.30 | (7948) all_789_0_41603 = 0 & greater_or_equal(all_789_1_41604, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41604
% 203.40/161.30 |
% 203.40/161.30 | Applying alpha-rule on (7948) yields:
% 203.40/161.30 | (7949) all_789_0_41603 = 0
% 203.40/161.30 | (7950) greater_or_equal(all_789_1_41604, all_33_1_35) = 0
% 203.40/161.30 | (7951) end_time(all_33_4_38) = all_789_1_41604
% 203.40/161.30 |
% 203.40/161.30 | Instantiating formula (43) with all_33_4_38, all_789_1_41604, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_41604, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.40/161.30 | (7952) all_789_1_41604 = all_33_1_35
% 203.40/161.30 |
% 203.40/161.30 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_41604 and discharging atoms end_time(all_33_4_38) = all_789_1_41604, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.40/161.30 | (7953) all_789_1_41604 = all_562_1_40879
% 203.40/161.30 |
% 203.40/161.30 | Combining equations (7953,7952) yields a new equation:
% 203.40/161.30 | (6162) all_562_1_40879 = all_33_1_35
% 203.40/161.30 |
% 203.40/161.30 | Simplifying 6162 yields:
% 203.40/161.30 | (6163) all_562_1_40879 = all_33_1_35
% 203.40/161.30 |
% 203.40/161.30 | From (7952) and (7950) follows:
% 203.40/161.31 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.40/161.31 |
% 203.40/161.31 | From (6163) and (6153) follows:
% 203.40/161.31 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.40/161.31 |
% 203.40/161.31 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.40/161.31 | (6166) all_562_0_40878 = 0
% 203.40/161.31 |
% 203.40/161.31 | Equations (6166) can reduce 6152 to:
% 203.40/161.31 | (62) $false
% 203.40/161.31 |
% 203.40/161.31 |-The branch is then unsatisfiable
% 203.40/161.31 |-Branch two:
% 203.40/161.31 | (7960) all_789_0_41603 = 0 & greater(all_33_1_35, all_789_1_41604) = 0 & end_time(all_33_4_38) = all_789_1_41604
% 203.40/161.31 |
% 203.40/161.31 | Applying alpha-rule on (7960) yields:
% 203.40/161.31 | (7949) all_789_0_41603 = 0
% 203.40/161.31 | (7962) greater(all_33_1_35, all_789_1_41604) = 0
% 203.40/161.31 | (7951) end_time(all_33_4_38) = all_789_1_41604
% 203.40/161.31 |
% 203.40/161.31 | Instantiating formula (43) with all_33_4_38, all_789_1_41604, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_41604, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.40/161.31 | (7952) all_789_1_41604 = all_33_1_35
% 203.40/161.31 |
% 203.40/161.31 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_41604 and discharging atoms end_time(all_33_4_38) = all_789_1_41604, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.40/161.31 | (7953) all_789_1_41604 = all_562_1_40879
% 203.40/161.31 |
% 203.40/161.31 | Combining equations (7953,7952) yields a new equation:
% 203.40/161.31 | (6162) all_562_1_40879 = all_33_1_35
% 203.40/161.31 |
% 203.40/161.31 | Simplifying 6162 yields:
% 203.40/161.31 | (6163) all_562_1_40879 = all_33_1_35
% 203.40/161.31 |
% 203.40/161.31 | From (6163) and (6153) follows:
% 203.40/161.31 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.40/161.31 |
% 203.40/161.31 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.40/161.31 | (6166) all_562_0_40878 = 0
% 203.40/161.31 |
% 203.40/161.31 | Equations (6166) can reduce 6152 to:
% 203.40/161.31 | (62) $false
% 203.40/161.31 |
% 203.40/161.31 |-The branch is then unsatisfiable
% 203.40/161.31 |-Branch two:
% 203.40/161.31 | (7971) ~ (all_789_1_41604 = 0) & environment(all_33_4_38) = all_789_1_41604
% 203.40/161.31 |
% 203.40/161.31 | Applying alpha-rule on (7971) yields:
% 203.40/161.31 | (7972) ~ (all_789_1_41604 = 0)
% 203.40/161.31 | (7973) environment(all_33_4_38) = all_789_1_41604
% 203.40/161.31 |
% 203.40/161.31 | Instantiating formula (35) with all_33_4_38, all_789_1_41604, 0 and discharging atoms environment(all_33_4_38) = all_789_1_41604, environment(all_33_4_38) = 0, yields:
% 203.40/161.31 | (7974) all_789_1_41604 = 0
% 203.40/161.31 |
% 203.40/161.31 | Equations (7974) can reduce 7972 to:
% 203.40/161.31 | (62) $false
% 203.40/161.31 |
% 203.40/161.31 |-The branch is then unsatisfiable
% 203.40/161.31 |-Branch two:
% 203.40/161.31 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.40/161.31 |
% 203.40/161.31 | Applying alpha-rule on (6184) yields:
% 203.40/161.31 | (6185) ~ (all_562_1_40879 = 0)
% 203.40/161.31 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.40/161.31 |
% 203.40/161.31 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.40/161.31 | (6147) all_562_1_40879 = 0
% 203.40/161.31 |
% 203.40/161.31 | Equations (6147) can reduce 6185 to:
% 203.40/161.31 | (62) $false
% 203.40/161.31 |
% 203.40/161.31 |-The branch is then unsatisfiable
% 203.40/161.31 |-Branch two:
% 203.40/161.31 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.40/161.31 |
% 203.40/161.31 | Applying alpha-rule on (6257) yields:
% 203.40/161.31 | (6258) ~ (all_450_1_40846 = 0)
% 203.40/161.31 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.40/161.31 |
% 203.40/161.31 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.40/161.31 | (6260) all_450_1_40846 = 0
% 203.40/161.31 |
% 203.40/161.31 | Equations (6260) can reduce 6258 to:
% 203.40/161.31 | (62) $false
% 203.40/161.31 |
% 203.40/161.31 |-The branch is then unsatisfiable
% 203.40/161.32 |-Branch two:
% 203.40/161.32 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 203.40/161.32 |
% 203.40/161.32 | Applying alpha-rule on (6410) yields:
% 203.40/161.32 | (6411) ~ (all_449_1_40844 = 0)
% 203.40/161.32 | (6412) environment(all_33_4_38) = all_449_1_40844
% 203.40/161.32 |
% 203.40/161.32 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 203.43/161.32 | (6413) all_449_1_40844 = 0
% 203.43/161.32 |
% 203.43/161.32 | Equations (6413) can reduce 6411 to:
% 203.43/161.32 | (62) $false
% 203.43/161.32 |
% 203.43/161.32 |-The branch is then unsatisfiable
% 203.43/161.32 |-Branch two:
% 203.43/161.32 | (6723) ~ (all_448_1_40842 = 0) & environment(all_33_4_38) = all_448_1_40842
% 203.43/161.32 |
% 203.43/161.32 | Applying alpha-rule on (6723) yields:
% 203.43/161.32 | (6724) ~ (all_448_1_40842 = 0)
% 203.43/161.32 | (6725) environment(all_33_4_38) = all_448_1_40842
% 203.43/161.32 |
% 203.43/161.32 | Instantiating formula (35) with all_33_4_38, all_448_1_40842, 0 and discharging atoms environment(all_33_4_38) = all_448_1_40842, environment(all_33_4_38) = 0, yields:
% 203.43/161.32 | (6726) all_448_1_40842 = 0
% 203.43/161.32 |
% 203.43/161.32 | Equations (6726) can reduce 6724 to:
% 203.43/161.32 | (62) $false
% 203.43/161.32 |
% 203.43/161.32 |-The branch is then unsatisfiable
% 203.43/161.32 |-Branch two:
% 203.43/161.32 | (6728) all_447_0_40839 = 0 & greater(all_60_2_75, all_447_1_40840) = 0 & end_time(all_33_4_38) = all_447_1_40840
% 203.43/161.32 |
% 203.43/161.32 | Applying alpha-rule on (6728) yields:
% 203.43/161.32 | (6101) all_447_0_40839 = 0
% 203.43/161.32 | (6730) greater(all_60_2_75, all_447_1_40840) = 0
% 203.43/161.32 | (6103) end_time(all_33_4_38) = all_447_1_40840
% 203.43/161.32 |
% 203.43/161.32 | Instantiating formula (43) with all_33_4_38, all_447_1_40840, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_447_1_40840, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.32 | (6104) all_447_1_40840 = all_33_1_35
% 203.43/161.32 |
% 203.43/161.32 | From (6104) and (6103) follows:
% 203.43/161.32 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.32 |
% 203.43/161.32 +-Applying beta-rule and splitting (6071), into two cases.
% 203.43/161.32 |-Branch one:
% 203.43/161.32 | (6106) (all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842) | (all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842)
% 203.43/161.32 |
% 203.43/161.32 +-Applying beta-rule and splitting (6106), into two cases.
% 203.43/161.32 |-Branch one:
% 203.43/161.32 | (6107) all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 203.43/161.32 |
% 203.43/161.32 | Applying alpha-rule on (6107) yields:
% 203.43/161.32 | (6108) all_448_0_40841 = 0
% 203.43/161.32 | (6109) greater_or_equal(all_448_1_40842, all_114_2_98) = 0
% 203.43/161.32 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 203.43/161.32 |
% 203.43/161.32 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.32 | (6111) all_448_1_40842 = all_33_1_35
% 203.43/161.32 |
% 203.43/161.32 | From (6111) and (6110) follows:
% 203.43/161.32 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.32 |
% 203.43/161.32 +-Applying beta-rule and splitting (6072), into two cases.
% 203.43/161.32 |-Branch one:
% 203.43/161.32 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 203.43/161.32 |
% 203.43/161.32 +-Applying beta-rule and splitting (6113), into two cases.
% 203.43/161.32 |-Branch one:
% 203.43/161.32 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.43/161.32 |
% 203.43/161.32 | Applying alpha-rule on (6114) yields:
% 203.43/161.32 | (6115) all_449_0_40843 = 0
% 203.43/161.32 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 203.43/161.32 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.43/161.32 |
% 203.43/161.32 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.32 | (6118) all_449_1_40844 = all_33_1_35
% 203.43/161.32 |
% 203.43/161.32 | From (6118) and (6117) follows:
% 203.43/161.32 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.32 |
% 203.43/161.32 +-Applying beta-rule and splitting (6073), into two cases.
% 203.43/161.32 |-Branch one:
% 203.43/161.32 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.43/161.32 |
% 203.43/161.32 +-Applying beta-rule and splitting (6120), into two cases.
% 203.43/161.32 |-Branch one:
% 203.43/161.32 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.43/161.32 |
% 203.43/161.32 | Applying alpha-rule on (6121) yields:
% 203.43/161.32 | (6122) all_450_0_40845 = 0
% 203.43/161.32 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.43/161.32 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.43/161.32 |
% 203.43/161.32 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.32 | (6125) all_450_1_40846 = all_33_1_35
% 203.43/161.32 |
% 203.43/161.32 | From (6125) and (6124) follows:
% 203.43/161.33 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.33 |
% 203.43/161.33 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.43/161.33 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.43/161.33 |
% 203.43/161.33 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.43/161.33 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.43/161.33 |
% 203.43/161.33 | Instantiating (287) with all_779_0_41615 yields:
% 203.43/161.33 | (8025) (all_779_0_41615 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41615 = 0) & environment(all_33_4_38) = all_779_0_41615) | ( ~ (all_779_0_41615 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41615)
% 203.43/161.33 |
% 203.43/161.33 | Instantiating (6127) with all_788_0_41631, all_788_1_41632 yields:
% 203.43/161.33 | (8026) (all_788_0_41631 = 0 & greater_or_equal(all_788_1_41632, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41632) | (all_788_0_41631 = 0 & greater(all_33_1_35, all_788_1_41632) = 0 & end_time(all_33_4_38) = all_788_1_41632) | ( ~ (all_788_1_41632 = 0) & environment(all_33_4_38) = all_788_1_41632)
% 203.43/161.33 |
% 203.43/161.33 +-Applying beta-rule and splitting (8025), into two cases.
% 203.43/161.33 |-Branch one:
% 203.43/161.33 | (8027) (all_779_0_41615 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41615 = 0) & environment(all_33_4_38) = all_779_0_41615)
% 203.43/161.33 |
% 203.43/161.33 +-Applying beta-rule and splitting (8027), into two cases.
% 203.43/161.33 |-Branch one:
% 203.43/161.33 | (8028) all_779_0_41615 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.43/161.33 |
% 203.43/161.33 | Applying alpha-rule on (8028) yields:
% 203.43/161.33 | (8029) all_779_0_41615 = 0
% 203.43/161.33 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.43/161.33 |
% 203.43/161.33 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.43/161.33 | (109) all_33_0_34 = 0
% 203.43/161.33 |
% 203.43/161.33 | Equations (109) can reduce 72 to:
% 203.43/161.33 | (62) $false
% 203.43/161.33 |
% 203.43/161.33 |-The branch is then unsatisfiable
% 203.43/161.33 |-Branch two:
% 203.43/161.33 | (8033) ~ (all_779_0_41615 = 0) & environment(all_33_4_38) = all_779_0_41615
% 203.43/161.33 |
% 203.43/161.33 | Applying alpha-rule on (8033) yields:
% 203.43/161.33 | (8034) ~ (all_779_0_41615 = 0)
% 203.43/161.33 | (8035) environment(all_33_4_38) = all_779_0_41615
% 203.43/161.33 |
% 203.43/161.33 | Instantiating formula (35) with all_33_4_38, all_779_0_41615, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41615, environment(all_33_4_38) = 0, yields:
% 203.43/161.33 | (8029) all_779_0_41615 = 0
% 203.43/161.33 |
% 203.43/161.33 | Equations (8029) can reduce 8034 to:
% 203.43/161.33 | (62) $false
% 203.43/161.33 |
% 203.43/161.33 |-The branch is then unsatisfiable
% 203.43/161.33 |-Branch two:
% 203.43/161.33 | (8038) ~ (all_779_0_41615 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41615
% 203.43/161.33 |
% 203.43/161.33 | Applying alpha-rule on (8038) yields:
% 203.43/161.33 | (8034) ~ (all_779_0_41615 = 0)
% 203.43/161.33 | (8040) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41615
% 203.43/161.33 |
% 203.43/161.33 +-Applying beta-rule and splitting (6084), into two cases.
% 203.43/161.33 |-Branch one:
% 203.43/161.33 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.43/161.33 |
% 203.43/161.33 +-Applying beta-rule and splitting (6145), into two cases.
% 203.43/161.33 |-Branch one:
% 203.43/161.33 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.43/161.33 |
% 203.43/161.33 | Applying alpha-rule on (6146) yields:
% 203.43/161.33 | (6147) all_562_1_40879 = 0
% 203.43/161.33 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.43/161.33 |
% 203.43/161.33 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41615 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41615, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.43/161.33 | (8029) all_779_0_41615 = 0
% 203.43/161.33 |
% 203.43/161.33 | Equations (8029) can reduce 8034 to:
% 203.43/161.33 | (62) $false
% 203.43/161.33 |
% 203.43/161.33 |-The branch is then unsatisfiable
% 203.43/161.33 |-Branch two:
% 203.43/161.33 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.43/161.33 |
% 203.43/161.33 | Applying alpha-rule on (6151) yields:
% 203.43/161.33 | (6152) ~ (all_562_0_40878 = 0)
% 203.43/161.33 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.43/161.33 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.43/161.33 |
% 203.43/161.33 +-Applying beta-rule and splitting (8026), into two cases.
% 203.43/161.33 |-Branch one:
% 203.43/161.33 | (8051) (all_788_0_41631 = 0 & greater_or_equal(all_788_1_41632, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41632) | (all_788_0_41631 = 0 & greater(all_33_1_35, all_788_1_41632) = 0 & end_time(all_33_4_38) = all_788_1_41632)
% 203.43/161.33 |
% 203.43/161.33 +-Applying beta-rule and splitting (8051), into two cases.
% 203.43/161.33 |-Branch one:
% 203.43/161.33 | (8052) all_788_0_41631 = 0 & greater_or_equal(all_788_1_41632, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41632
% 203.43/161.33 |
% 203.43/161.33 | Applying alpha-rule on (8052) yields:
% 203.43/161.33 | (8053) all_788_0_41631 = 0
% 203.43/161.33 | (8054) greater_or_equal(all_788_1_41632, all_33_1_35) = 0
% 203.43/161.33 | (8055) end_time(all_33_4_38) = all_788_1_41632
% 203.43/161.33 |
% 203.43/161.33 | Instantiating formula (43) with all_33_4_38, all_788_1_41632, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41632, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.34 | (8056) all_788_1_41632 = all_33_1_35
% 203.43/161.34 |
% 203.43/161.34 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41632 and discharging atoms end_time(all_33_4_38) = all_788_1_41632, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.43/161.34 | (8057) all_788_1_41632 = all_562_1_40879
% 203.43/161.34 |
% 203.43/161.34 | Combining equations (8057,8056) yields a new equation:
% 203.43/161.34 | (6162) all_562_1_40879 = all_33_1_35
% 203.43/161.34 |
% 203.43/161.34 | Simplifying 6162 yields:
% 203.43/161.34 | (6163) all_562_1_40879 = all_33_1_35
% 203.43/161.34 |
% 203.43/161.34 | From (8056) and (8054) follows:
% 203.43/161.34 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.43/161.34 |
% 203.43/161.34 | From (6163) and (6153) follows:
% 203.43/161.34 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.43/161.34 |
% 203.43/161.34 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.43/161.34 | (6166) all_562_0_40878 = 0
% 203.43/161.34 |
% 203.43/161.34 | Equations (6166) can reduce 6152 to:
% 203.43/161.34 | (62) $false
% 203.43/161.34 |
% 203.43/161.34 |-The branch is then unsatisfiable
% 203.43/161.34 |-Branch two:
% 203.43/161.34 | (8064) all_788_0_41631 = 0 & greater(all_33_1_35, all_788_1_41632) = 0 & end_time(all_33_4_38) = all_788_1_41632
% 203.43/161.34 |
% 203.43/161.34 | Applying alpha-rule on (8064) yields:
% 203.43/161.34 | (8053) all_788_0_41631 = 0
% 203.43/161.34 | (8066) greater(all_33_1_35, all_788_1_41632) = 0
% 203.43/161.34 | (8055) end_time(all_33_4_38) = all_788_1_41632
% 203.43/161.34 |
% 203.43/161.34 | Instantiating formula (43) with all_33_4_38, all_788_1_41632, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41632, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.34 | (8056) all_788_1_41632 = all_33_1_35
% 203.43/161.34 |
% 203.43/161.34 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41632 and discharging atoms end_time(all_33_4_38) = all_788_1_41632, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.43/161.34 | (8057) all_788_1_41632 = all_562_1_40879
% 203.43/161.34 |
% 203.43/161.34 | Combining equations (8057,8056) yields a new equation:
% 203.43/161.34 | (6162) all_562_1_40879 = all_33_1_35
% 203.43/161.34 |
% 203.43/161.34 | Simplifying 6162 yields:
% 203.43/161.34 | (6163) all_562_1_40879 = all_33_1_35
% 203.43/161.34 |
% 203.43/161.34 | From (6163) and (6153) follows:
% 203.43/161.34 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.43/161.34 |
% 203.43/161.34 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.43/161.34 | (6166) all_562_0_40878 = 0
% 203.43/161.34 |
% 203.43/161.34 | Equations (6166) can reduce 6152 to:
% 203.43/161.34 | (62) $false
% 203.43/161.34 |
% 203.43/161.34 |-The branch is then unsatisfiable
% 203.43/161.34 |-Branch two:
% 203.43/161.34 | (8075) ~ (all_788_1_41632 = 0) & environment(all_33_4_38) = all_788_1_41632
% 203.43/161.34 |
% 203.43/161.34 | Applying alpha-rule on (8075) yields:
% 203.43/161.34 | (8076) ~ (all_788_1_41632 = 0)
% 203.43/161.34 | (8077) environment(all_33_4_38) = all_788_1_41632
% 203.43/161.34 |
% 203.43/161.34 | Instantiating formula (35) with all_33_4_38, all_788_1_41632, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41632, environment(all_33_4_38) = 0, yields:
% 203.43/161.34 | (8078) all_788_1_41632 = 0
% 203.43/161.34 |
% 203.43/161.34 | Equations (8078) can reduce 8076 to:
% 203.43/161.34 | (62) $false
% 203.43/161.34 |
% 203.43/161.34 |-The branch is then unsatisfiable
% 203.43/161.34 |-Branch two:
% 203.43/161.34 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.43/161.34 |
% 203.43/161.34 | Applying alpha-rule on (6184) yields:
% 203.43/161.34 | (6185) ~ (all_562_1_40879 = 0)
% 203.43/161.34 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.43/161.34 |
% 203.43/161.34 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.43/161.34 | (6147) all_562_1_40879 = 0
% 203.43/161.34 |
% 203.43/161.34 | Equations (6147) can reduce 6185 to:
% 203.43/161.34 | (62) $false
% 203.43/161.34 |
% 203.43/161.34 |-The branch is then unsatisfiable
% 203.43/161.34 |-Branch two:
% 203.43/161.34 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.43/161.34 |
% 203.43/161.34 | Applying alpha-rule on (6189) yields:
% 203.43/161.35 | (6122) all_450_0_40845 = 0
% 203.43/161.35 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.43/161.35 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.43/161.35 |
% 203.43/161.35 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.35 | (6125) all_450_1_40846 = all_33_1_35
% 203.43/161.35 |
% 203.43/161.35 | From (6125) and (6124) follows:
% 203.43/161.35 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.35 |
% 203.43/161.35 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.43/161.35 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.43/161.35 |
% 203.43/161.35 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.43/161.35 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.43/161.35 |
% 203.43/161.35 | Instantiating (287) with all_783_0_41652 yields:
% 203.43/161.35 | (8093) (all_783_0_41652 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41652 = 0) & environment(all_33_4_38) = all_783_0_41652) | ( ~ (all_783_0_41652 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41652)
% 203.43/161.35 |
% 203.43/161.35 | Instantiating (6127) with all_784_0_41653, all_784_1_41654 yields:
% 203.43/161.35 | (8094) (all_784_0_41653 = 0 & greater_or_equal(all_784_1_41654, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41654) | (all_784_0_41653 = 0 & greater(all_33_1_35, all_784_1_41654) = 0 & end_time(all_33_4_38) = all_784_1_41654) | ( ~ (all_784_1_41654 = 0) & environment(all_33_4_38) = all_784_1_41654)
% 203.43/161.35 |
% 203.43/161.35 +-Applying beta-rule and splitting (8093), into two cases.
% 203.43/161.35 |-Branch one:
% 203.43/161.35 | (8095) (all_783_0_41652 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41652 = 0) & environment(all_33_4_38) = all_783_0_41652)
% 203.43/161.35 |
% 203.43/161.35 +-Applying beta-rule and splitting (8095), into two cases.
% 203.43/161.35 |-Branch one:
% 203.43/161.35 | (8096) all_783_0_41652 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.43/161.35 |
% 203.43/161.35 | Applying alpha-rule on (8096) yields:
% 203.43/161.35 | (8097) all_783_0_41652 = 0
% 203.43/161.35 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.43/161.35 |
% 203.43/161.35 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.43/161.35 | (109) all_33_0_34 = 0
% 203.43/161.35 |
% 203.43/161.35 | Equations (109) can reduce 72 to:
% 203.43/161.35 | (62) $false
% 203.43/161.35 |
% 203.43/161.35 |-The branch is then unsatisfiable
% 203.43/161.35 |-Branch two:
% 203.43/161.35 | (8101) ~ (all_783_0_41652 = 0) & environment(all_33_4_38) = all_783_0_41652
% 203.43/161.35 |
% 203.43/161.35 | Applying alpha-rule on (8101) yields:
% 203.43/161.35 | (8102) ~ (all_783_0_41652 = 0)
% 203.43/161.35 | (8103) environment(all_33_4_38) = all_783_0_41652
% 203.43/161.35 |
% 203.43/161.35 | Instantiating formula (35) with all_33_4_38, all_783_0_41652, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41652, environment(all_33_4_38) = 0, yields:
% 203.43/161.35 | (8097) all_783_0_41652 = 0
% 203.43/161.35 |
% 203.43/161.35 | Equations (8097) can reduce 8102 to:
% 203.43/161.35 | (62) $false
% 203.43/161.35 |
% 203.43/161.35 |-The branch is then unsatisfiable
% 203.43/161.35 |-Branch two:
% 203.43/161.35 | (8106) ~ (all_783_0_41652 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41652
% 203.43/161.35 |
% 203.43/161.35 | Applying alpha-rule on (8106) yields:
% 203.43/161.35 | (8102) ~ (all_783_0_41652 = 0)
% 203.43/161.35 | (8108) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41652
% 203.43/161.35 |
% 203.43/161.35 +-Applying beta-rule and splitting (6084), into two cases.
% 203.43/161.35 |-Branch one:
% 203.43/161.35 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.43/161.35 |
% 203.43/161.35 +-Applying beta-rule and splitting (6145), into two cases.
% 203.43/161.35 |-Branch one:
% 203.43/161.35 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.43/161.35 |
% 203.43/161.35 | Applying alpha-rule on (6146) yields:
% 203.43/161.35 | (6147) all_562_1_40879 = 0
% 203.43/161.35 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.43/161.35 |
% 203.43/161.35 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41652 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41652, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.43/161.35 | (8097) all_783_0_41652 = 0
% 203.43/161.35 |
% 203.43/161.35 | Equations (8097) can reduce 8102 to:
% 203.43/161.35 | (62) $false
% 203.43/161.35 |
% 203.43/161.35 |-The branch is then unsatisfiable
% 203.43/161.35 |-Branch two:
% 203.43/161.35 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.43/161.35 |
% 203.43/161.35 | Applying alpha-rule on (6151) yields:
% 203.43/161.35 | (6152) ~ (all_562_0_40878 = 0)
% 203.43/161.35 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.43/161.36 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.43/161.36 |
% 203.43/161.36 +-Applying beta-rule and splitting (8094), into two cases.
% 203.43/161.36 |-Branch one:
% 203.43/161.36 | (8119) (all_784_0_41653 = 0 & greater_or_equal(all_784_1_41654, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41654) | (all_784_0_41653 = 0 & greater(all_33_1_35, all_784_1_41654) = 0 & end_time(all_33_4_38) = all_784_1_41654)
% 203.43/161.36 |
% 203.43/161.36 +-Applying beta-rule and splitting (8119), into two cases.
% 203.43/161.36 |-Branch one:
% 203.43/161.36 | (8120) all_784_0_41653 = 0 & greater_or_equal(all_784_1_41654, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41654
% 203.43/161.36 |
% 203.43/161.36 | Applying alpha-rule on (8120) yields:
% 203.43/161.36 | (8121) all_784_0_41653 = 0
% 203.43/161.36 | (8122) greater_or_equal(all_784_1_41654, all_33_1_35) = 0
% 203.43/161.36 | (8123) end_time(all_33_4_38) = all_784_1_41654
% 203.43/161.36 |
% 203.43/161.36 | Instantiating formula (43) with all_33_4_38, all_784_1_41654, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41654, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.36 | (8124) all_784_1_41654 = all_33_1_35
% 203.43/161.36 |
% 203.43/161.36 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41654 and discharging atoms end_time(all_33_4_38) = all_784_1_41654, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.43/161.36 | (8125) all_784_1_41654 = all_562_1_40879
% 203.43/161.36 |
% 203.43/161.36 | Combining equations (8125,8124) yields a new equation:
% 203.43/161.36 | (6162) all_562_1_40879 = all_33_1_35
% 203.43/161.36 |
% 203.43/161.36 | Simplifying 6162 yields:
% 203.43/161.36 | (6163) all_562_1_40879 = all_33_1_35
% 203.43/161.36 |
% 203.43/161.36 | From (8124) and (8122) follows:
% 203.43/161.36 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.43/161.36 |
% 203.43/161.36 | From (6163) and (6153) follows:
% 203.43/161.36 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.43/161.36 |
% 203.43/161.36 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.43/161.36 | (6166) all_562_0_40878 = 0
% 203.43/161.36 |
% 203.43/161.36 | Equations (6166) can reduce 6152 to:
% 203.43/161.36 | (62) $false
% 203.43/161.36 |
% 203.43/161.36 |-The branch is then unsatisfiable
% 203.43/161.36 |-Branch two:
% 203.43/161.36 | (8132) all_784_0_41653 = 0 & greater(all_33_1_35, all_784_1_41654) = 0 & end_time(all_33_4_38) = all_784_1_41654
% 203.43/161.36 |
% 203.43/161.36 | Applying alpha-rule on (8132) yields:
% 203.43/161.36 | (8121) all_784_0_41653 = 0
% 203.43/161.36 | (8134) greater(all_33_1_35, all_784_1_41654) = 0
% 203.43/161.36 | (8123) end_time(all_33_4_38) = all_784_1_41654
% 203.43/161.36 |
% 203.43/161.36 | Instantiating formula (43) with all_33_4_38, all_784_1_41654, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41654, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.36 | (8124) all_784_1_41654 = all_33_1_35
% 203.43/161.36 |
% 203.43/161.36 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41654 and discharging atoms end_time(all_33_4_38) = all_784_1_41654, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.43/161.36 | (8125) all_784_1_41654 = all_562_1_40879
% 203.43/161.36 |
% 203.43/161.36 | Combining equations (8125,8124) yields a new equation:
% 203.43/161.36 | (6162) all_562_1_40879 = all_33_1_35
% 203.43/161.36 |
% 203.43/161.36 | Simplifying 6162 yields:
% 203.43/161.36 | (6163) all_562_1_40879 = all_33_1_35
% 203.43/161.36 |
% 203.43/161.36 | From (6163) and (6153) follows:
% 203.43/161.36 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.43/161.36 |
% 203.43/161.36 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.43/161.36 | (6166) all_562_0_40878 = 0
% 203.43/161.36 |
% 203.43/161.36 | Equations (6166) can reduce 6152 to:
% 203.43/161.36 | (62) $false
% 203.43/161.36 |
% 203.43/161.36 |-The branch is then unsatisfiable
% 203.43/161.36 |-Branch two:
% 203.43/161.36 | (8143) ~ (all_784_1_41654 = 0) & environment(all_33_4_38) = all_784_1_41654
% 203.43/161.36 |
% 203.43/161.36 | Applying alpha-rule on (8143) yields:
% 203.43/161.36 | (8144) ~ (all_784_1_41654 = 0)
% 203.43/161.37 | (8145) environment(all_33_4_38) = all_784_1_41654
% 203.43/161.37 |
% 203.43/161.37 | Instantiating formula (35) with all_33_4_38, all_784_1_41654, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41654, environment(all_33_4_38) = 0, yields:
% 203.43/161.37 | (8146) all_784_1_41654 = 0
% 203.43/161.37 |
% 203.43/161.37 | Equations (8146) can reduce 8144 to:
% 203.43/161.37 | (62) $false
% 203.43/161.37 |
% 203.43/161.37 |-The branch is then unsatisfiable
% 203.43/161.37 |-Branch two:
% 203.43/161.37 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.43/161.37 |
% 203.43/161.37 | Applying alpha-rule on (6184) yields:
% 203.43/161.37 | (6185) ~ (all_562_1_40879 = 0)
% 203.43/161.37 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.43/161.37 |
% 203.43/161.37 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.43/161.37 | (6147) all_562_1_40879 = 0
% 203.43/161.37 |
% 203.43/161.37 | Equations (6147) can reduce 6185 to:
% 203.43/161.37 | (62) $false
% 203.43/161.37 |
% 203.43/161.37 |-The branch is then unsatisfiable
% 203.43/161.37 |-Branch two:
% 203.43/161.37 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.43/161.37 |
% 203.43/161.37 | Applying alpha-rule on (6257) yields:
% 203.43/161.37 | (6258) ~ (all_450_1_40846 = 0)
% 203.43/161.37 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.43/161.37 |
% 203.43/161.37 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.43/161.37 | (6260) all_450_1_40846 = 0
% 203.43/161.37 |
% 203.43/161.37 | Equations (6260) can reduce 6258 to:
% 203.43/161.37 | (62) $false
% 203.43/161.37 |
% 203.43/161.37 |-The branch is then unsatisfiable
% 203.43/161.37 |-Branch two:
% 203.43/161.37 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.43/161.37 |
% 203.43/161.37 | Applying alpha-rule on (6262) yields:
% 203.43/161.37 | (6115) all_449_0_40843 = 0
% 203.43/161.37 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 203.43/161.37 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.43/161.37 |
% 203.43/161.37 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.37 | (6118) all_449_1_40844 = all_33_1_35
% 203.43/161.37 |
% 203.43/161.37 | From (6118) and (6117) follows:
% 203.43/161.37 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.37 |
% 203.43/161.37 +-Applying beta-rule and splitting (6073), into two cases.
% 203.43/161.37 |-Branch one:
% 203.43/161.37 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.43/161.37 |
% 203.43/161.37 +-Applying beta-rule and splitting (6120), into two cases.
% 203.43/161.37 |-Branch one:
% 203.43/161.37 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.43/161.37 |
% 203.43/161.37 | Applying alpha-rule on (6121) yields:
% 203.43/161.37 | (6122) all_450_0_40845 = 0
% 203.43/161.37 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.43/161.37 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.43/161.37 |
% 203.43/161.37 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.37 | (6125) all_450_1_40846 = all_33_1_35
% 203.43/161.37 |
% 203.43/161.37 | From (6125) and (6124) follows:
% 203.43/161.37 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.37 |
% 203.43/161.37 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.43/161.37 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.43/161.37 |
% 203.43/161.37 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.43/161.37 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.43/161.37 |
% 203.43/161.37 | Instantiating (287) with all_783_0_41682 yields:
% 203.43/161.37 | (8173) (all_783_0_41682 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41682 = 0) & environment(all_33_4_38) = all_783_0_41682) | ( ~ (all_783_0_41682 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41682)
% 203.43/161.37 |
% 203.43/161.37 | Instantiating (6127) with all_784_0_41683, all_784_1_41684 yields:
% 203.43/161.37 | (8174) (all_784_0_41683 = 0 & greater_or_equal(all_784_1_41684, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41684) | (all_784_0_41683 = 0 & greater(all_33_1_35, all_784_1_41684) = 0 & end_time(all_33_4_38) = all_784_1_41684) | ( ~ (all_784_1_41684 = 0) & environment(all_33_4_38) = all_784_1_41684)
% 203.43/161.37 |
% 203.43/161.37 +-Applying beta-rule and splitting (8173), into two cases.
% 203.43/161.37 |-Branch one:
% 203.43/161.37 | (8175) (all_783_0_41682 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41682 = 0) & environment(all_33_4_38) = all_783_0_41682)
% 203.43/161.37 |
% 203.43/161.37 +-Applying beta-rule and splitting (8175), into two cases.
% 203.43/161.37 |-Branch one:
% 203.43/161.37 | (8176) all_783_0_41682 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.43/161.37 |
% 203.43/161.37 | Applying alpha-rule on (8176) yields:
% 203.43/161.37 | (8177) all_783_0_41682 = 0
% 203.43/161.37 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.43/161.37 |
% 203.43/161.37 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.43/161.37 | (109) all_33_0_34 = 0
% 203.43/161.37 |
% 203.43/161.37 | Equations (109) can reduce 72 to:
% 203.43/161.37 | (62) $false
% 203.43/161.37 |
% 203.43/161.37 |-The branch is then unsatisfiable
% 203.43/161.37 |-Branch two:
% 203.43/161.37 | (8181) ~ (all_783_0_41682 = 0) & environment(all_33_4_38) = all_783_0_41682
% 203.43/161.37 |
% 203.43/161.37 | Applying alpha-rule on (8181) yields:
% 203.43/161.37 | (8182) ~ (all_783_0_41682 = 0)
% 203.43/161.37 | (8183) environment(all_33_4_38) = all_783_0_41682
% 203.43/161.37 |
% 203.43/161.37 | Instantiating formula (35) with all_33_4_38, all_783_0_41682, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41682, environment(all_33_4_38) = 0, yields:
% 203.43/161.37 | (8177) all_783_0_41682 = 0
% 203.43/161.37 |
% 203.43/161.37 | Equations (8177) can reduce 8182 to:
% 203.43/161.37 | (62) $false
% 203.43/161.37 |
% 203.43/161.37 |-The branch is then unsatisfiable
% 203.43/161.37 |-Branch two:
% 203.43/161.38 | (8186) ~ (all_783_0_41682 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41682
% 203.43/161.38 |
% 203.43/161.38 | Applying alpha-rule on (8186) yields:
% 203.43/161.38 | (8182) ~ (all_783_0_41682 = 0)
% 203.43/161.38 | (8188) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41682
% 203.43/161.38 |
% 203.43/161.38 +-Applying beta-rule and splitting (6084), into two cases.
% 203.43/161.38 |-Branch one:
% 203.43/161.38 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.43/161.38 |
% 203.43/161.38 +-Applying beta-rule and splitting (6145), into two cases.
% 203.43/161.38 |-Branch one:
% 203.43/161.38 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.43/161.38 |
% 203.43/161.38 | Applying alpha-rule on (6146) yields:
% 203.43/161.38 | (6147) all_562_1_40879 = 0
% 203.43/161.38 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.43/161.38 |
% 203.43/161.38 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41682 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41682, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.43/161.38 | (8177) all_783_0_41682 = 0
% 203.43/161.38 |
% 203.43/161.38 | Equations (8177) can reduce 8182 to:
% 203.43/161.38 | (62) $false
% 203.43/161.38 |
% 203.43/161.38 |-The branch is then unsatisfiable
% 203.43/161.38 |-Branch two:
% 203.43/161.38 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.43/161.38 |
% 203.43/161.38 | Applying alpha-rule on (6151) yields:
% 203.43/161.38 | (6152) ~ (all_562_0_40878 = 0)
% 203.43/161.38 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.43/161.38 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.43/161.38 |
% 203.43/161.38 +-Applying beta-rule and splitting (8174), into two cases.
% 203.43/161.38 |-Branch one:
% 203.43/161.38 | (8199) (all_784_0_41683 = 0 & greater_or_equal(all_784_1_41684, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41684) | (all_784_0_41683 = 0 & greater(all_33_1_35, all_784_1_41684) = 0 & end_time(all_33_4_38) = all_784_1_41684)
% 203.43/161.38 |
% 203.43/161.38 +-Applying beta-rule and splitting (8199), into two cases.
% 203.43/161.38 |-Branch one:
% 203.43/161.38 | (8200) all_784_0_41683 = 0 & greater_or_equal(all_784_1_41684, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41684
% 203.43/161.38 |
% 203.43/161.38 | Applying alpha-rule on (8200) yields:
% 203.43/161.38 | (8201) all_784_0_41683 = 0
% 203.43/161.38 | (8202) greater_or_equal(all_784_1_41684, all_33_1_35) = 0
% 203.43/161.38 | (8203) end_time(all_33_4_38) = all_784_1_41684
% 203.43/161.38 |
% 203.43/161.38 | Instantiating formula (43) with all_33_4_38, all_784_1_41684, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41684, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.38 | (8204) all_784_1_41684 = all_33_1_35
% 203.43/161.38 |
% 203.43/161.38 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41684 and discharging atoms end_time(all_33_4_38) = all_784_1_41684, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.43/161.38 | (8205) all_784_1_41684 = all_562_1_40879
% 203.43/161.38 |
% 203.43/161.38 | Combining equations (8205,8204) yields a new equation:
% 203.43/161.38 | (6162) all_562_1_40879 = all_33_1_35
% 203.43/161.38 |
% 203.43/161.38 | Simplifying 6162 yields:
% 203.43/161.38 | (6163) all_562_1_40879 = all_33_1_35
% 203.43/161.38 |
% 203.43/161.38 | From (8204) and (8202) follows:
% 203.43/161.38 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.43/161.38 |
% 203.43/161.38 | From (6163) and (6153) follows:
% 203.43/161.38 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.43/161.38 |
% 203.43/161.38 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.43/161.38 | (6166) all_562_0_40878 = 0
% 203.43/161.38 |
% 203.43/161.38 | Equations (6166) can reduce 6152 to:
% 203.43/161.38 | (62) $false
% 203.43/161.38 |
% 203.43/161.38 |-The branch is then unsatisfiable
% 203.43/161.38 |-Branch two:
% 203.43/161.38 | (8212) all_784_0_41683 = 0 & greater(all_33_1_35, all_784_1_41684) = 0 & end_time(all_33_4_38) = all_784_1_41684
% 203.43/161.38 |
% 203.43/161.38 | Applying alpha-rule on (8212) yields:
% 203.43/161.38 | (8201) all_784_0_41683 = 0
% 203.43/161.38 | (8214) greater(all_33_1_35, all_784_1_41684) = 0
% 203.43/161.38 | (8203) end_time(all_33_4_38) = all_784_1_41684
% 203.43/161.38 |
% 203.43/161.38 | Instantiating formula (43) with all_33_4_38, all_784_1_41684, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41684, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.38 | (8204) all_784_1_41684 = all_33_1_35
% 203.43/161.38 |
% 203.43/161.38 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41684 and discharging atoms end_time(all_33_4_38) = all_784_1_41684, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.43/161.38 | (8205) all_784_1_41684 = all_562_1_40879
% 203.43/161.38 |
% 203.43/161.38 | Combining equations (8205,8204) yields a new equation:
% 203.43/161.38 | (6162) all_562_1_40879 = all_33_1_35
% 203.43/161.38 |
% 203.43/161.38 | Simplifying 6162 yields:
% 203.43/161.38 | (6163) all_562_1_40879 = all_33_1_35
% 203.43/161.38 |
% 203.43/161.38 | From (6163) and (6153) follows:
% 203.43/161.38 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.43/161.38 |
% 203.43/161.38 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.43/161.38 | (6166) all_562_0_40878 = 0
% 203.43/161.38 |
% 203.43/161.38 | Equations (6166) can reduce 6152 to:
% 203.43/161.38 | (62) $false
% 203.43/161.38 |
% 203.43/161.38 |-The branch is then unsatisfiable
% 203.43/161.38 |-Branch two:
% 203.43/161.39 | (8223) ~ (all_784_1_41684 = 0) & environment(all_33_4_38) = all_784_1_41684
% 203.43/161.39 |
% 203.43/161.39 | Applying alpha-rule on (8223) yields:
% 203.43/161.39 | (8224) ~ (all_784_1_41684 = 0)
% 203.43/161.39 | (8225) environment(all_33_4_38) = all_784_1_41684
% 203.43/161.39 |
% 203.43/161.39 | Instantiating formula (35) with all_33_4_38, all_784_1_41684, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41684, environment(all_33_4_38) = 0, yields:
% 203.43/161.39 | (8226) all_784_1_41684 = 0
% 203.43/161.39 |
% 203.43/161.39 | Equations (8226) can reduce 8224 to:
% 203.43/161.39 | (62) $false
% 203.43/161.39 |
% 203.43/161.39 |-The branch is then unsatisfiable
% 203.43/161.39 |-Branch two:
% 203.43/161.39 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.43/161.39 |
% 203.43/161.39 | Applying alpha-rule on (6184) yields:
% 203.43/161.39 | (6185) ~ (all_562_1_40879 = 0)
% 203.43/161.39 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.43/161.39 |
% 203.43/161.39 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.43/161.39 | (6147) all_562_1_40879 = 0
% 203.43/161.39 |
% 203.43/161.39 | Equations (6147) can reduce 6185 to:
% 203.43/161.39 | (62) $false
% 203.43/161.39 |
% 203.43/161.39 |-The branch is then unsatisfiable
% 203.43/161.39 |-Branch two:
% 203.43/161.39 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.43/161.39 |
% 203.43/161.39 | Applying alpha-rule on (6189) yields:
% 203.43/161.39 | (6122) all_450_0_40845 = 0
% 203.43/161.39 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.43/161.39 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.43/161.39 |
% 203.43/161.39 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.39 | (6125) all_450_1_40846 = all_33_1_35
% 203.43/161.39 |
% 203.43/161.39 | From (6125) and (6124) follows:
% 203.43/161.39 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.39 |
% 203.43/161.39 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.43/161.39 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.43/161.39 |
% 203.43/161.39 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.43/161.39 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.43/161.39 |
% 203.43/161.39 | Instantiating (6127) with all_789_0_41723, all_789_1_41724 yields:
% 203.43/161.39 | (8241) (all_789_0_41723 = 0 & greater_or_equal(all_789_1_41724, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41724) | (all_789_0_41723 = 0 & greater(all_33_1_35, all_789_1_41724) = 0 & end_time(all_33_4_38) = all_789_1_41724) | ( ~ (all_789_1_41724 = 0) & environment(all_33_4_38) = all_789_1_41724)
% 203.43/161.39 |
% 203.43/161.39 | Instantiating (287) with all_790_0_41725 yields:
% 203.43/161.39 | (8242) (all_790_0_41725 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_41725 = 0) & environment(all_33_4_38) = all_790_0_41725) | ( ~ (all_790_0_41725 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_41725)
% 203.43/161.39 |
% 203.43/161.39 +-Applying beta-rule and splitting (8242), into two cases.
% 203.43/161.39 |-Branch one:
% 203.43/161.39 | (8243) (all_790_0_41725 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_41725 = 0) & environment(all_33_4_38) = all_790_0_41725)
% 203.43/161.39 |
% 203.43/161.39 +-Applying beta-rule and splitting (8243), into two cases.
% 203.43/161.39 |-Branch one:
% 203.43/161.39 | (8244) all_790_0_41725 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.43/161.39 |
% 203.43/161.39 | Applying alpha-rule on (8244) yields:
% 203.43/161.39 | (8245) all_790_0_41725 = 0
% 203.43/161.39 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.43/161.39 |
% 203.43/161.39 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.43/161.39 | (109) all_33_0_34 = 0
% 203.43/161.39 |
% 203.43/161.39 | Equations (109) can reduce 72 to:
% 203.43/161.39 | (62) $false
% 203.43/161.39 |
% 203.43/161.39 |-The branch is then unsatisfiable
% 203.43/161.39 |-Branch two:
% 203.43/161.39 | (8249) ~ (all_790_0_41725 = 0) & environment(all_33_4_38) = all_790_0_41725
% 203.43/161.39 |
% 203.43/161.39 | Applying alpha-rule on (8249) yields:
% 203.43/161.39 | (8250) ~ (all_790_0_41725 = 0)
% 203.43/161.39 | (8251) environment(all_33_4_38) = all_790_0_41725
% 203.43/161.39 |
% 203.43/161.39 | Instantiating formula (35) with all_33_4_38, all_790_0_41725, 0 and discharging atoms environment(all_33_4_38) = all_790_0_41725, environment(all_33_4_38) = 0, yields:
% 203.43/161.39 | (8245) all_790_0_41725 = 0
% 203.43/161.39 |
% 203.43/161.39 | Equations (8245) can reduce 8250 to:
% 203.43/161.39 | (62) $false
% 203.43/161.39 |
% 203.43/161.39 |-The branch is then unsatisfiable
% 203.43/161.39 |-Branch two:
% 203.43/161.39 | (8254) ~ (all_790_0_41725 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_41725
% 203.43/161.39 |
% 203.43/161.39 | Applying alpha-rule on (8254) yields:
% 203.43/161.39 | (8250) ~ (all_790_0_41725 = 0)
% 203.43/161.39 | (8256) in_environment(all_33_4_38, all_33_1_35) = all_790_0_41725
% 203.43/161.39 |
% 203.43/161.39 +-Applying beta-rule and splitting (6084), into two cases.
% 203.43/161.39 |-Branch one:
% 203.43/161.39 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.43/161.39 |
% 203.43/161.39 +-Applying beta-rule and splitting (6145), into two cases.
% 203.43/161.39 |-Branch one:
% 203.43/161.39 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.43/161.39 |
% 203.43/161.39 | Applying alpha-rule on (6146) yields:
% 203.43/161.39 | (6147) all_562_1_40879 = 0
% 203.43/161.39 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.43/161.39 |
% 203.43/161.39 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_41725 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_41725, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.43/161.39 | (8245) all_790_0_41725 = 0
% 203.43/161.39 |
% 203.43/161.39 | Equations (8245) can reduce 8250 to:
% 203.43/161.39 | (62) $false
% 203.43/161.39 |
% 203.43/161.39 |-The branch is then unsatisfiable
% 203.43/161.39 |-Branch two:
% 203.43/161.39 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.43/161.39 |
% 203.43/161.39 | Applying alpha-rule on (6151) yields:
% 203.43/161.39 | (6152) ~ (all_562_0_40878 = 0)
% 203.43/161.40 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.43/161.40 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.43/161.40 |
% 203.43/161.40 +-Applying beta-rule and splitting (8241), into two cases.
% 203.43/161.40 |-Branch one:
% 203.43/161.40 | (8267) (all_789_0_41723 = 0 & greater_or_equal(all_789_1_41724, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41724) | (all_789_0_41723 = 0 & greater(all_33_1_35, all_789_1_41724) = 0 & end_time(all_33_4_38) = all_789_1_41724)
% 203.43/161.40 |
% 203.43/161.40 +-Applying beta-rule and splitting (8267), into two cases.
% 203.43/161.40 |-Branch one:
% 203.43/161.40 | (8268) all_789_0_41723 = 0 & greater_or_equal(all_789_1_41724, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41724
% 203.43/161.40 |
% 203.43/161.40 | Applying alpha-rule on (8268) yields:
% 203.43/161.40 | (8269) all_789_0_41723 = 0
% 203.43/161.40 | (8270) greater_or_equal(all_789_1_41724, all_33_1_35) = 0
% 203.43/161.40 | (8271) end_time(all_33_4_38) = all_789_1_41724
% 203.43/161.40 |
% 203.43/161.40 | Instantiating formula (43) with all_33_4_38, all_789_1_41724, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_41724, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.40 | (8272) all_789_1_41724 = all_33_1_35
% 203.43/161.40 |
% 203.43/161.40 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_41724 and discharging atoms end_time(all_33_4_38) = all_789_1_41724, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.43/161.40 | (8273) all_789_1_41724 = all_562_1_40879
% 203.43/161.40 |
% 203.43/161.40 | Combining equations (8273,8272) yields a new equation:
% 203.43/161.40 | (6162) all_562_1_40879 = all_33_1_35
% 203.43/161.40 |
% 203.43/161.40 | Simplifying 6162 yields:
% 203.43/161.40 | (6163) all_562_1_40879 = all_33_1_35
% 203.43/161.40 |
% 203.43/161.40 | From (8272) and (8270) follows:
% 203.43/161.40 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.43/161.40 |
% 203.43/161.40 | From (6163) and (6153) follows:
% 203.43/161.40 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.43/161.40 |
% 203.43/161.40 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.43/161.40 | (6166) all_562_0_40878 = 0
% 203.43/161.40 |
% 203.43/161.40 | Equations (6166) can reduce 6152 to:
% 203.43/161.40 | (62) $false
% 203.43/161.40 |
% 203.43/161.40 |-The branch is then unsatisfiable
% 203.43/161.40 |-Branch two:
% 203.43/161.40 | (8280) all_789_0_41723 = 0 & greater(all_33_1_35, all_789_1_41724) = 0 & end_time(all_33_4_38) = all_789_1_41724
% 203.43/161.40 |
% 203.43/161.40 | Applying alpha-rule on (8280) yields:
% 203.43/161.40 | (8269) all_789_0_41723 = 0
% 203.43/161.40 | (8282) greater(all_33_1_35, all_789_1_41724) = 0
% 203.43/161.40 | (8271) end_time(all_33_4_38) = all_789_1_41724
% 203.43/161.40 |
% 203.43/161.40 | Instantiating formula (43) with all_33_4_38, all_789_1_41724, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_41724, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.40 | (8272) all_789_1_41724 = all_33_1_35
% 203.43/161.40 |
% 203.43/161.40 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_41724 and discharging atoms end_time(all_33_4_38) = all_789_1_41724, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.43/161.40 | (8273) all_789_1_41724 = all_562_1_40879
% 203.43/161.40 |
% 203.43/161.40 | Combining equations (8273,8272) yields a new equation:
% 203.43/161.40 | (6162) all_562_1_40879 = all_33_1_35
% 203.43/161.40 |
% 203.43/161.40 | Simplifying 6162 yields:
% 203.43/161.40 | (6163) all_562_1_40879 = all_33_1_35
% 203.43/161.40 |
% 203.43/161.40 | From (6163) and (6153) follows:
% 203.43/161.40 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.43/161.40 |
% 203.43/161.40 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.43/161.40 | (6166) all_562_0_40878 = 0
% 203.43/161.40 |
% 203.43/161.40 | Equations (6166) can reduce 6152 to:
% 203.43/161.40 | (62) $false
% 203.43/161.40 |
% 203.43/161.40 |-The branch is then unsatisfiable
% 203.43/161.40 |-Branch two:
% 203.43/161.40 | (8291) ~ (all_789_1_41724 = 0) & environment(all_33_4_38) = all_789_1_41724
% 203.43/161.40 |
% 203.43/161.40 | Applying alpha-rule on (8291) yields:
% 203.43/161.40 | (8292) ~ (all_789_1_41724 = 0)
% 203.43/161.40 | (8293) environment(all_33_4_38) = all_789_1_41724
% 203.43/161.40 |
% 203.43/161.40 | Instantiating formula (35) with all_33_4_38, all_789_1_41724, 0 and discharging atoms environment(all_33_4_38) = all_789_1_41724, environment(all_33_4_38) = 0, yields:
% 203.43/161.40 | (8294) all_789_1_41724 = 0
% 203.43/161.40 |
% 203.43/161.40 | Equations (8294) can reduce 8292 to:
% 203.43/161.40 | (62) $false
% 203.43/161.40 |
% 203.43/161.40 |-The branch is then unsatisfiable
% 203.43/161.40 |-Branch two:
% 203.43/161.40 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.43/161.40 |
% 203.43/161.40 | Applying alpha-rule on (6184) yields:
% 203.43/161.40 | (6185) ~ (all_562_1_40879 = 0)
% 203.43/161.40 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.43/161.40 |
% 203.43/161.40 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.43/161.41 | (6147) all_562_1_40879 = 0
% 203.43/161.41 |
% 203.43/161.41 | Equations (6147) can reduce 6185 to:
% 203.43/161.41 | (62) $false
% 203.43/161.41 |
% 203.43/161.41 |-The branch is then unsatisfiable
% 203.43/161.41 |-Branch two:
% 203.43/161.41 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.43/161.41 |
% 203.43/161.41 | Applying alpha-rule on (6257) yields:
% 203.43/161.41 | (6258) ~ (all_450_1_40846 = 0)
% 203.43/161.41 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.43/161.41 |
% 203.43/161.41 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.43/161.41 | (6260) all_450_1_40846 = 0
% 203.43/161.41 |
% 203.43/161.41 | Equations (6260) can reduce 6258 to:
% 203.43/161.41 | (62) $false
% 203.43/161.41 |
% 203.43/161.41 |-The branch is then unsatisfiable
% 203.43/161.41 |-Branch two:
% 203.43/161.41 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 203.43/161.41 |
% 203.43/161.41 | Applying alpha-rule on (6410) yields:
% 203.43/161.41 | (6411) ~ (all_449_1_40844 = 0)
% 203.43/161.41 | (6412) environment(all_33_4_38) = all_449_1_40844
% 203.43/161.41 |
% 203.43/161.41 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 203.43/161.41 | (6413) all_449_1_40844 = 0
% 203.43/161.41 |
% 203.43/161.41 | Equations (6413) can reduce 6411 to:
% 203.43/161.41 | (62) $false
% 203.43/161.41 |
% 203.43/161.41 |-The branch is then unsatisfiable
% 203.43/161.41 |-Branch two:
% 203.43/161.41 | (6415) all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 203.43/161.41 |
% 203.43/161.41 | Applying alpha-rule on (6415) yields:
% 203.43/161.41 | (6108) all_448_0_40841 = 0
% 203.43/161.41 | (6417) greater(all_114_2_98, all_448_1_40842) = 0
% 203.43/161.41 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 203.43/161.41 |
% 203.43/161.41 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.41 | (6111) all_448_1_40842 = all_33_1_35
% 203.43/161.41 |
% 203.43/161.41 | From (6111) and (6110) follows:
% 203.43/161.41 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.41 |
% 203.43/161.41 +-Applying beta-rule and splitting (6072), into two cases.
% 203.43/161.41 |-Branch one:
% 203.43/161.41 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 203.43/161.41 |
% 203.43/161.41 +-Applying beta-rule and splitting (6113), into two cases.
% 203.43/161.41 |-Branch one:
% 203.43/161.41 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.43/161.41 |
% 203.43/161.41 | Applying alpha-rule on (6114) yields:
% 203.43/161.41 | (6115) all_449_0_40843 = 0
% 203.43/161.41 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 203.43/161.41 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.43/161.41 |
% 203.43/161.41 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.41 | (6118) all_449_1_40844 = all_33_1_35
% 203.43/161.41 |
% 203.43/161.41 | From (6118) and (6117) follows:
% 203.43/161.41 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.41 |
% 203.43/161.41 +-Applying beta-rule and splitting (6073), into two cases.
% 203.43/161.41 |-Branch one:
% 203.43/161.41 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.43/161.41 |
% 203.43/161.41 +-Applying beta-rule and splitting (6120), into two cases.
% 203.43/161.41 |-Branch one:
% 203.43/161.41 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.43/161.41 |
% 203.43/161.41 | Applying alpha-rule on (6121) yields:
% 203.43/161.41 | (6122) all_450_0_40845 = 0
% 203.43/161.41 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.43/161.41 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.43/161.41 |
% 203.43/161.41 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.43/161.41 | (6125) all_450_1_40846 = all_33_1_35
% 203.43/161.41 |
% 203.43/161.41 | From (6125) and (6124) follows:
% 203.43/161.41 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.43/161.41 |
% 203.43/161.41 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.43/161.41 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.43/161.41 |
% 203.43/161.41 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.43/161.41 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.43/161.41 |
% 203.43/161.41 | Instantiating (287) with all_783_0_41742 yields:
% 203.43/161.41 | (8333) (all_783_0_41742 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41742 = 0) & environment(all_33_4_38) = all_783_0_41742) | ( ~ (all_783_0_41742 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41742)
% 203.43/161.41 |
% 203.43/161.41 | Instantiating (6127) with all_784_0_41743, all_784_1_41744 yields:
% 203.43/161.41 | (8334) (all_784_0_41743 = 0 & greater_or_equal(all_784_1_41744, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41744) | (all_784_0_41743 = 0 & greater(all_33_1_35, all_784_1_41744) = 0 & end_time(all_33_4_38) = all_784_1_41744) | ( ~ (all_784_1_41744 = 0) & environment(all_33_4_38) = all_784_1_41744)
% 203.43/161.41 |
% 203.43/161.41 +-Applying beta-rule and splitting (8333), into two cases.
% 203.43/161.41 |-Branch one:
% 203.43/161.41 | (8335) (all_783_0_41742 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41742 = 0) & environment(all_33_4_38) = all_783_0_41742)
% 203.43/161.41 |
% 203.43/161.41 +-Applying beta-rule and splitting (8335), into two cases.
% 203.43/161.41 |-Branch one:
% 203.43/161.41 | (8336) all_783_0_41742 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.43/161.41 |
% 203.43/161.41 | Applying alpha-rule on (8336) yields:
% 203.43/161.41 | (8337) all_783_0_41742 = 0
% 203.43/161.42 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.43/161.42 |
% 203.43/161.42 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.43/161.42 | (109) all_33_0_34 = 0
% 203.43/161.42 |
% 203.43/161.42 | Equations (109) can reduce 72 to:
% 203.43/161.42 | (62) $false
% 203.43/161.42 |
% 203.43/161.42 |-The branch is then unsatisfiable
% 203.43/161.42 |-Branch two:
% 203.43/161.42 | (8341) ~ (all_783_0_41742 = 0) & environment(all_33_4_38) = all_783_0_41742
% 203.43/161.42 |
% 203.54/161.42 | Applying alpha-rule on (8341) yields:
% 203.54/161.42 | (8342) ~ (all_783_0_41742 = 0)
% 203.54/161.42 | (8343) environment(all_33_4_38) = all_783_0_41742
% 203.54/161.42 |
% 203.54/161.42 | Instantiating formula (35) with all_33_4_38, all_783_0_41742, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41742, environment(all_33_4_38) = 0, yields:
% 203.54/161.42 | (8337) all_783_0_41742 = 0
% 203.54/161.42 |
% 203.54/161.42 | Equations (8337) can reduce 8342 to:
% 203.54/161.42 | (62) $false
% 203.54/161.42 |
% 203.54/161.42 |-The branch is then unsatisfiable
% 203.54/161.42 |-Branch two:
% 203.54/161.42 | (8346) ~ (all_783_0_41742 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41742
% 203.54/161.42 |
% 203.54/161.42 | Applying alpha-rule on (8346) yields:
% 203.54/161.42 | (8342) ~ (all_783_0_41742 = 0)
% 203.54/161.42 | (8348) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41742
% 203.54/161.42 |
% 203.54/161.42 +-Applying beta-rule and splitting (6084), into two cases.
% 203.54/161.42 |-Branch one:
% 203.54/161.42 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.54/161.42 |
% 203.54/161.42 +-Applying beta-rule and splitting (6145), into two cases.
% 203.54/161.42 |-Branch one:
% 203.54/161.42 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.54/161.42 |
% 203.54/161.42 | Applying alpha-rule on (6146) yields:
% 203.54/161.42 | (6147) all_562_1_40879 = 0
% 203.54/161.42 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.54/161.42 |
% 203.54/161.42 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41742 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41742, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.54/161.42 | (8337) all_783_0_41742 = 0
% 203.54/161.42 |
% 203.54/161.42 | Equations (8337) can reduce 8342 to:
% 203.54/161.42 | (62) $false
% 203.54/161.42 |
% 203.54/161.42 |-The branch is then unsatisfiable
% 203.54/161.42 |-Branch two:
% 203.54/161.42 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.54/161.42 |
% 203.54/161.42 | Applying alpha-rule on (6151) yields:
% 203.54/161.42 | (6152) ~ (all_562_0_40878 = 0)
% 203.54/161.42 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.54/161.42 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.54/161.42 |
% 203.54/161.42 +-Applying beta-rule and splitting (8334), into two cases.
% 203.54/161.42 |-Branch one:
% 203.54/161.42 | (8359) (all_784_0_41743 = 0 & greater_or_equal(all_784_1_41744, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41744) | (all_784_0_41743 = 0 & greater(all_33_1_35, all_784_1_41744) = 0 & end_time(all_33_4_38) = all_784_1_41744)
% 203.54/161.42 |
% 203.54/161.42 +-Applying beta-rule and splitting (8359), into two cases.
% 203.54/161.42 |-Branch one:
% 203.54/161.42 | (8360) all_784_0_41743 = 0 & greater_or_equal(all_784_1_41744, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41744
% 203.54/161.42 |
% 203.54/161.42 | Applying alpha-rule on (8360) yields:
% 203.54/161.42 | (8361) all_784_0_41743 = 0
% 203.54/161.42 | (8362) greater_or_equal(all_784_1_41744, all_33_1_35) = 0
% 203.54/161.42 | (8363) end_time(all_33_4_38) = all_784_1_41744
% 203.54/161.42 |
% 203.54/161.42 | Instantiating formula (43) with all_33_4_38, all_784_1_41744, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41744, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.42 | (8364) all_784_1_41744 = all_33_1_35
% 203.54/161.42 |
% 203.54/161.42 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41744 and discharging atoms end_time(all_33_4_38) = all_784_1_41744, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.54/161.42 | (8365) all_784_1_41744 = all_562_1_40879
% 203.54/161.42 |
% 203.54/161.42 | Combining equations (8365,8364) yields a new equation:
% 203.54/161.42 | (6162) all_562_1_40879 = all_33_1_35
% 203.54/161.42 |
% 203.54/161.42 | Simplifying 6162 yields:
% 203.54/161.42 | (6163) all_562_1_40879 = all_33_1_35
% 203.54/161.42 |
% 203.54/161.42 | From (8364) and (8362) follows:
% 203.54/161.42 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.54/161.42 |
% 203.54/161.42 | From (6163) and (6153) follows:
% 203.54/161.42 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.54/161.42 |
% 203.54/161.42 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.54/161.42 | (6166) all_562_0_40878 = 0
% 203.54/161.42 |
% 203.54/161.42 | Equations (6166) can reduce 6152 to:
% 203.54/161.42 | (62) $false
% 203.54/161.42 |
% 203.54/161.42 |-The branch is then unsatisfiable
% 203.54/161.42 |-Branch two:
% 203.54/161.42 | (8372) all_784_0_41743 = 0 & greater(all_33_1_35, all_784_1_41744) = 0 & end_time(all_33_4_38) = all_784_1_41744
% 203.54/161.42 |
% 203.54/161.42 | Applying alpha-rule on (8372) yields:
% 203.54/161.42 | (8361) all_784_0_41743 = 0
% 203.54/161.42 | (8374) greater(all_33_1_35, all_784_1_41744) = 0
% 203.54/161.42 | (8363) end_time(all_33_4_38) = all_784_1_41744
% 203.54/161.43 |
% 203.54/161.43 | Instantiating formula (43) with all_33_4_38, all_784_1_41744, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41744, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.43 | (8364) all_784_1_41744 = all_33_1_35
% 203.54/161.43 |
% 203.54/161.43 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41744 and discharging atoms end_time(all_33_4_38) = all_784_1_41744, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.54/161.43 | (8365) all_784_1_41744 = all_562_1_40879
% 203.54/161.43 |
% 203.54/161.43 | Combining equations (8365,8364) yields a new equation:
% 203.54/161.43 | (6162) all_562_1_40879 = all_33_1_35
% 203.54/161.43 |
% 203.54/161.43 | Simplifying 6162 yields:
% 203.54/161.43 | (6163) all_562_1_40879 = all_33_1_35
% 203.54/161.43 |
% 203.54/161.43 | From (6163) and (6153) follows:
% 203.54/161.43 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.54/161.43 |
% 203.54/161.43 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.54/161.43 | (6166) all_562_0_40878 = 0
% 203.54/161.43 |
% 203.54/161.43 | Equations (6166) can reduce 6152 to:
% 203.54/161.43 | (62) $false
% 203.54/161.43 |
% 203.54/161.43 |-The branch is then unsatisfiable
% 203.54/161.43 |-Branch two:
% 203.54/161.43 | (8383) ~ (all_784_1_41744 = 0) & environment(all_33_4_38) = all_784_1_41744
% 203.54/161.43 |
% 203.54/161.43 | Applying alpha-rule on (8383) yields:
% 203.54/161.43 | (8384) ~ (all_784_1_41744 = 0)
% 203.54/161.43 | (8385) environment(all_33_4_38) = all_784_1_41744
% 203.54/161.43 |
% 203.54/161.43 | Instantiating formula (35) with all_33_4_38, all_784_1_41744, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41744, environment(all_33_4_38) = 0, yields:
% 203.54/161.43 | (8386) all_784_1_41744 = 0
% 203.54/161.43 |
% 203.54/161.43 | Equations (8386) can reduce 8384 to:
% 203.54/161.43 | (62) $false
% 203.54/161.43 |
% 203.54/161.43 |-The branch is then unsatisfiable
% 203.54/161.43 |-Branch two:
% 203.54/161.43 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.54/161.43 |
% 203.54/161.43 | Applying alpha-rule on (6184) yields:
% 203.54/161.43 | (6185) ~ (all_562_1_40879 = 0)
% 203.54/161.43 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.54/161.43 |
% 203.54/161.43 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.54/161.43 | (6147) all_562_1_40879 = 0
% 203.54/161.43 |
% 203.54/161.43 | Equations (6147) can reduce 6185 to:
% 203.54/161.43 | (62) $false
% 203.54/161.43 |
% 203.54/161.43 |-The branch is then unsatisfiable
% 203.54/161.43 |-Branch two:
% 203.54/161.43 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.54/161.43 |
% 203.54/161.43 | Applying alpha-rule on (6189) yields:
% 203.54/161.43 | (6122) all_450_0_40845 = 0
% 203.54/161.43 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.54/161.43 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.54/161.43 |
% 203.54/161.43 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.43 | (6125) all_450_1_40846 = all_33_1_35
% 203.54/161.43 |
% 203.54/161.43 | From (6125) and (6124) follows:
% 203.54/161.43 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.54/161.43 |
% 203.54/161.43 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.54/161.43 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.54/161.43 |
% 203.54/161.43 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.54/161.43 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.54/161.43 |
% 203.54/161.43 | Instantiating (6127) with all_789_0_41783, all_789_1_41784 yields:
% 203.54/161.43 | (8401) (all_789_0_41783 = 0 & greater_or_equal(all_789_1_41784, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41784) | (all_789_0_41783 = 0 & greater(all_33_1_35, all_789_1_41784) = 0 & end_time(all_33_4_38) = all_789_1_41784) | ( ~ (all_789_1_41784 = 0) & environment(all_33_4_38) = all_789_1_41784)
% 203.54/161.43 |
% 203.54/161.43 | Instantiating (287) with all_790_0_41785 yields:
% 203.54/161.43 | (8402) (all_790_0_41785 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_41785 = 0) & environment(all_33_4_38) = all_790_0_41785) | ( ~ (all_790_0_41785 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_41785)
% 203.54/161.43 |
% 203.54/161.43 +-Applying beta-rule and splitting (8402), into two cases.
% 203.54/161.43 |-Branch one:
% 203.54/161.43 | (8403) (all_790_0_41785 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_41785 = 0) & environment(all_33_4_38) = all_790_0_41785)
% 203.54/161.43 |
% 203.54/161.43 +-Applying beta-rule and splitting (8403), into two cases.
% 203.54/161.43 |-Branch one:
% 203.54/161.43 | (8404) all_790_0_41785 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.54/161.43 |
% 203.54/161.43 | Applying alpha-rule on (8404) yields:
% 203.54/161.43 | (8405) all_790_0_41785 = 0
% 203.54/161.43 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.54/161.43 |
% 203.54/161.43 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.54/161.43 | (109) all_33_0_34 = 0
% 203.54/161.43 |
% 203.54/161.43 | Equations (109) can reduce 72 to:
% 203.54/161.43 | (62) $false
% 203.54/161.43 |
% 203.54/161.43 |-The branch is then unsatisfiable
% 203.54/161.43 |-Branch two:
% 203.54/161.43 | (8409) ~ (all_790_0_41785 = 0) & environment(all_33_4_38) = all_790_0_41785
% 203.54/161.43 |
% 203.54/161.43 | Applying alpha-rule on (8409) yields:
% 203.54/161.43 | (8410) ~ (all_790_0_41785 = 0)
% 203.54/161.43 | (8411) environment(all_33_4_38) = all_790_0_41785
% 203.54/161.43 |
% 203.54/161.43 | Instantiating formula (35) with all_33_4_38, all_790_0_41785, 0 and discharging atoms environment(all_33_4_38) = all_790_0_41785, environment(all_33_4_38) = 0, yields:
% 203.54/161.43 | (8405) all_790_0_41785 = 0
% 203.54/161.43 |
% 203.54/161.44 | Equations (8405) can reduce 8410 to:
% 203.54/161.44 | (62) $false
% 203.54/161.44 |
% 203.54/161.44 |-The branch is then unsatisfiable
% 203.54/161.44 |-Branch two:
% 203.54/161.44 | (8414) ~ (all_790_0_41785 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_41785
% 203.54/161.44 |
% 203.54/161.44 | Applying alpha-rule on (8414) yields:
% 203.54/161.44 | (8410) ~ (all_790_0_41785 = 0)
% 203.54/161.44 | (8416) in_environment(all_33_4_38, all_33_1_35) = all_790_0_41785
% 203.54/161.44 |
% 203.54/161.44 +-Applying beta-rule and splitting (6084), into two cases.
% 203.54/161.44 |-Branch one:
% 203.54/161.44 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.54/161.44 |
% 203.54/161.44 +-Applying beta-rule and splitting (6145), into two cases.
% 203.54/161.44 |-Branch one:
% 203.54/161.44 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.54/161.44 |
% 203.54/161.44 | Applying alpha-rule on (6146) yields:
% 203.54/161.44 | (6147) all_562_1_40879 = 0
% 203.54/161.44 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.54/161.44 |
% 203.54/161.44 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_41785 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_41785, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.54/161.44 | (8405) all_790_0_41785 = 0
% 203.54/161.44 |
% 203.54/161.44 | Equations (8405) can reduce 8410 to:
% 203.54/161.44 | (62) $false
% 203.54/161.44 |
% 203.54/161.44 |-The branch is then unsatisfiable
% 203.54/161.44 |-Branch two:
% 203.54/161.44 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.54/161.44 |
% 203.54/161.44 | Applying alpha-rule on (6151) yields:
% 203.54/161.44 | (6152) ~ (all_562_0_40878 = 0)
% 203.54/161.44 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.54/161.44 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.54/161.44 |
% 203.54/161.44 +-Applying beta-rule and splitting (8401), into two cases.
% 203.54/161.44 |-Branch one:
% 203.54/161.44 | (8427) (all_789_0_41783 = 0 & greater_or_equal(all_789_1_41784, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41784) | (all_789_0_41783 = 0 & greater(all_33_1_35, all_789_1_41784) = 0 & end_time(all_33_4_38) = all_789_1_41784)
% 203.54/161.44 |
% 203.54/161.44 +-Applying beta-rule and splitting (8427), into two cases.
% 203.54/161.44 |-Branch one:
% 203.54/161.44 | (8428) all_789_0_41783 = 0 & greater_or_equal(all_789_1_41784, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41784
% 203.54/161.44 |
% 203.54/161.44 | Applying alpha-rule on (8428) yields:
% 203.54/161.44 | (8429) all_789_0_41783 = 0
% 203.54/161.44 | (8430) greater_or_equal(all_789_1_41784, all_33_1_35) = 0
% 203.54/161.44 | (8431) end_time(all_33_4_38) = all_789_1_41784
% 203.54/161.44 |
% 203.54/161.44 | Instantiating formula (43) with all_33_4_38, all_789_1_41784, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_41784, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.44 | (8432) all_789_1_41784 = all_33_1_35
% 203.54/161.44 |
% 203.54/161.44 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_41784 and discharging atoms end_time(all_33_4_38) = all_789_1_41784, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.54/161.44 | (8433) all_789_1_41784 = all_562_1_40879
% 203.54/161.44 |
% 203.54/161.44 | Combining equations (8433,8432) yields a new equation:
% 203.54/161.44 | (6162) all_562_1_40879 = all_33_1_35
% 203.54/161.44 |
% 203.54/161.44 | Simplifying 6162 yields:
% 203.54/161.44 | (6163) all_562_1_40879 = all_33_1_35
% 203.54/161.44 |
% 203.54/161.44 | From (8432) and (8430) follows:
% 203.54/161.44 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.54/161.44 |
% 203.54/161.44 | From (6163) and (6153) follows:
% 203.54/161.44 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.54/161.44 |
% 203.54/161.44 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.54/161.44 | (6166) all_562_0_40878 = 0
% 203.54/161.44 |
% 203.54/161.44 | Equations (6166) can reduce 6152 to:
% 203.54/161.44 | (62) $false
% 203.54/161.44 |
% 203.54/161.44 |-The branch is then unsatisfiable
% 203.54/161.44 |-Branch two:
% 203.54/161.44 | (8440) all_789_0_41783 = 0 & greater(all_33_1_35, all_789_1_41784) = 0 & end_time(all_33_4_38) = all_789_1_41784
% 203.54/161.44 |
% 203.54/161.44 | Applying alpha-rule on (8440) yields:
% 203.54/161.44 | (8429) all_789_0_41783 = 0
% 203.54/161.44 | (8442) greater(all_33_1_35, all_789_1_41784) = 0
% 203.54/161.44 | (8431) end_time(all_33_4_38) = all_789_1_41784
% 203.54/161.44 |
% 203.54/161.44 | Instantiating formula (43) with all_33_4_38, all_789_1_41784, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_41784, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.44 | (8432) all_789_1_41784 = all_33_1_35
% 203.54/161.44 |
% 203.54/161.44 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_41784 and discharging atoms end_time(all_33_4_38) = all_789_1_41784, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.54/161.44 | (8433) all_789_1_41784 = all_562_1_40879
% 203.54/161.44 |
% 203.54/161.44 | Combining equations (8433,8432) yields a new equation:
% 203.54/161.44 | (6162) all_562_1_40879 = all_33_1_35
% 203.54/161.44 |
% 203.54/161.44 | Simplifying 6162 yields:
% 203.54/161.44 | (6163) all_562_1_40879 = all_33_1_35
% 203.54/161.44 |
% 203.54/161.44 | From (6163) and (6153) follows:
% 203.54/161.45 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.54/161.45 |
% 203.54/161.45 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.54/161.45 | (6166) all_562_0_40878 = 0
% 203.54/161.45 |
% 203.54/161.45 | Equations (6166) can reduce 6152 to:
% 203.54/161.45 | (62) $false
% 203.54/161.45 |
% 203.54/161.45 |-The branch is then unsatisfiable
% 203.54/161.45 |-Branch two:
% 203.54/161.45 | (8451) ~ (all_789_1_41784 = 0) & environment(all_33_4_38) = all_789_1_41784
% 203.54/161.45 |
% 203.54/161.45 | Applying alpha-rule on (8451) yields:
% 203.54/161.45 | (8452) ~ (all_789_1_41784 = 0)
% 203.54/161.45 | (8453) environment(all_33_4_38) = all_789_1_41784
% 203.54/161.45 |
% 203.54/161.45 | Instantiating formula (35) with all_33_4_38, all_789_1_41784, 0 and discharging atoms environment(all_33_4_38) = all_789_1_41784, environment(all_33_4_38) = 0, yields:
% 203.54/161.45 | (8454) all_789_1_41784 = 0
% 203.54/161.45 |
% 203.54/161.45 | Equations (8454) can reduce 8452 to:
% 203.54/161.45 | (62) $false
% 203.54/161.45 |
% 203.54/161.45 |-The branch is then unsatisfiable
% 203.54/161.45 |-Branch two:
% 203.54/161.45 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.54/161.45 |
% 203.54/161.45 | Applying alpha-rule on (6184) yields:
% 203.54/161.45 | (6185) ~ (all_562_1_40879 = 0)
% 203.54/161.45 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.54/161.45 |
% 203.54/161.45 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.54/161.45 | (6147) all_562_1_40879 = 0
% 203.54/161.45 |
% 203.54/161.45 | Equations (6147) can reduce 6185 to:
% 203.54/161.45 | (62) $false
% 203.54/161.45 |
% 203.54/161.45 |-The branch is then unsatisfiable
% 203.54/161.45 |-Branch two:
% 203.54/161.45 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.54/161.45 |
% 203.54/161.45 | Applying alpha-rule on (6257) yields:
% 203.54/161.45 | (6258) ~ (all_450_1_40846 = 0)
% 203.54/161.45 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.54/161.45 |
% 203.54/161.45 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.54/161.45 | (6260) all_450_1_40846 = 0
% 203.54/161.45 |
% 203.54/161.45 | Equations (6260) can reduce 6258 to:
% 203.54/161.45 | (62) $false
% 203.54/161.45 |
% 203.54/161.45 |-The branch is then unsatisfiable
% 203.54/161.45 |-Branch two:
% 203.54/161.45 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.54/161.45 |
% 203.54/161.45 | Applying alpha-rule on (6262) yields:
% 203.54/161.45 | (6115) all_449_0_40843 = 0
% 203.54/161.45 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 203.54/161.45 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.54/161.45 |
% 203.54/161.45 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.45 | (6118) all_449_1_40844 = all_33_1_35
% 203.54/161.45 |
% 203.54/161.45 | From (6118) and (6117) follows:
% 203.54/161.45 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.54/161.45 |
% 203.54/161.45 +-Applying beta-rule and splitting (6073), into two cases.
% 203.54/161.45 |-Branch one:
% 203.54/161.45 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.54/161.45 |
% 203.54/161.45 +-Applying beta-rule and splitting (6120), into two cases.
% 203.54/161.45 |-Branch one:
% 203.54/161.45 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.54/161.45 |
% 203.54/161.45 | Applying alpha-rule on (6121) yields:
% 203.54/161.45 | (6122) all_450_0_40845 = 0
% 203.54/161.45 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.54/161.45 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.54/161.45 |
% 203.54/161.45 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.45 | (6125) all_450_1_40846 = all_33_1_35
% 203.54/161.45 |
% 203.54/161.45 | From (6125) and (6124) follows:
% 203.54/161.45 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.54/161.45 |
% 203.54/161.45 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.54/161.45 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.54/161.45 |
% 203.54/161.45 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.54/161.45 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.54/161.45 |
% 203.54/161.45 | Instantiating (6127) with all_789_0_41813, all_789_1_41814 yields:
% 203.54/161.45 | (8481) (all_789_0_41813 = 0 & greater_or_equal(all_789_1_41814, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41814) | (all_789_0_41813 = 0 & greater(all_33_1_35, all_789_1_41814) = 0 & end_time(all_33_4_38) = all_789_1_41814) | ( ~ (all_789_1_41814 = 0) & environment(all_33_4_38) = all_789_1_41814)
% 203.54/161.45 |
% 203.54/161.45 | Instantiating (287) with all_790_0_41815 yields:
% 203.54/161.45 | (8482) (all_790_0_41815 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_41815 = 0) & environment(all_33_4_38) = all_790_0_41815) | ( ~ (all_790_0_41815 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_41815)
% 203.54/161.45 |
% 203.54/161.45 +-Applying beta-rule and splitting (8482), into two cases.
% 203.54/161.45 |-Branch one:
% 203.54/161.45 | (8483) (all_790_0_41815 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_41815 = 0) & environment(all_33_4_38) = all_790_0_41815)
% 203.54/161.45 |
% 203.54/161.45 +-Applying beta-rule and splitting (8483), into two cases.
% 203.54/161.45 |-Branch one:
% 203.54/161.45 | (8484) all_790_0_41815 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.54/161.45 |
% 203.54/161.45 | Applying alpha-rule on (8484) yields:
% 203.54/161.46 | (8485) all_790_0_41815 = 0
% 203.54/161.46 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.54/161.46 |
% 203.54/161.46 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.54/161.46 | (109) all_33_0_34 = 0
% 203.54/161.46 |
% 203.54/161.46 | Equations (109) can reduce 72 to:
% 203.54/161.46 | (62) $false
% 203.54/161.46 |
% 203.54/161.46 |-The branch is then unsatisfiable
% 203.54/161.46 |-Branch two:
% 203.54/161.46 | (8489) ~ (all_790_0_41815 = 0) & environment(all_33_4_38) = all_790_0_41815
% 203.54/161.46 |
% 203.54/161.46 | Applying alpha-rule on (8489) yields:
% 203.54/161.46 | (8490) ~ (all_790_0_41815 = 0)
% 203.54/161.46 | (8491) environment(all_33_4_38) = all_790_0_41815
% 203.54/161.46 |
% 203.54/161.46 | Instantiating formula (35) with all_33_4_38, all_790_0_41815, 0 and discharging atoms environment(all_33_4_38) = all_790_0_41815, environment(all_33_4_38) = 0, yields:
% 203.54/161.46 | (8485) all_790_0_41815 = 0
% 203.54/161.46 |
% 203.54/161.46 | Equations (8485) can reduce 8490 to:
% 203.54/161.46 | (62) $false
% 203.54/161.46 |
% 203.54/161.46 |-The branch is then unsatisfiable
% 203.54/161.46 |-Branch two:
% 203.54/161.46 | (8494) ~ (all_790_0_41815 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_41815
% 203.54/161.46 |
% 203.54/161.46 | Applying alpha-rule on (8494) yields:
% 203.54/161.46 | (8490) ~ (all_790_0_41815 = 0)
% 203.54/161.46 | (8496) in_environment(all_33_4_38, all_33_1_35) = all_790_0_41815
% 203.54/161.46 |
% 203.54/161.46 +-Applying beta-rule and splitting (6084), into two cases.
% 203.54/161.46 |-Branch one:
% 203.54/161.46 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.54/161.46 |
% 203.54/161.46 +-Applying beta-rule and splitting (6145), into two cases.
% 203.54/161.46 |-Branch one:
% 203.54/161.46 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.54/161.46 |
% 203.54/161.46 | Applying alpha-rule on (6146) yields:
% 203.54/161.46 | (6147) all_562_1_40879 = 0
% 203.54/161.46 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.54/161.46 |
% 203.54/161.46 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_41815 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_41815, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.54/161.46 | (8485) all_790_0_41815 = 0
% 203.54/161.46 |
% 203.54/161.46 | Equations (8485) can reduce 8490 to:
% 203.54/161.46 | (62) $false
% 203.54/161.46 |
% 203.54/161.46 |-The branch is then unsatisfiable
% 203.54/161.46 |-Branch two:
% 203.54/161.46 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.54/161.46 |
% 203.54/161.46 | Applying alpha-rule on (6151) yields:
% 203.54/161.46 | (6152) ~ (all_562_0_40878 = 0)
% 203.54/161.46 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.54/161.46 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.54/161.46 |
% 203.54/161.46 +-Applying beta-rule and splitting (8481), into two cases.
% 203.54/161.46 |-Branch one:
% 203.54/161.46 | (8507) (all_789_0_41813 = 0 & greater_or_equal(all_789_1_41814, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41814) | (all_789_0_41813 = 0 & greater(all_33_1_35, all_789_1_41814) = 0 & end_time(all_33_4_38) = all_789_1_41814)
% 203.54/161.46 |
% 203.54/161.46 +-Applying beta-rule and splitting (8507), into two cases.
% 203.54/161.46 |-Branch one:
% 203.54/161.46 | (8508) all_789_0_41813 = 0 & greater_or_equal(all_789_1_41814, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_41814
% 203.54/161.46 |
% 203.54/161.46 | Applying alpha-rule on (8508) yields:
% 203.54/161.46 | (8509) all_789_0_41813 = 0
% 203.54/161.46 | (8510) greater_or_equal(all_789_1_41814, all_33_1_35) = 0
% 203.54/161.46 | (8511) end_time(all_33_4_38) = all_789_1_41814
% 203.54/161.46 |
% 203.54/161.46 | Instantiating formula (43) with all_33_4_38, all_789_1_41814, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_41814, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.46 | (8512) all_789_1_41814 = all_33_1_35
% 203.54/161.46 |
% 203.54/161.46 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_41814 and discharging atoms end_time(all_33_4_38) = all_789_1_41814, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.54/161.46 | (8513) all_789_1_41814 = all_562_1_40879
% 203.54/161.46 |
% 203.54/161.46 | Combining equations (8513,8512) yields a new equation:
% 203.54/161.46 | (6162) all_562_1_40879 = all_33_1_35
% 203.54/161.46 |
% 203.54/161.46 | Simplifying 6162 yields:
% 203.54/161.46 | (6163) all_562_1_40879 = all_33_1_35
% 203.54/161.46 |
% 203.54/161.46 | From (8512) and (8510) follows:
% 203.54/161.46 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.54/161.46 |
% 203.54/161.46 | From (6163) and (6153) follows:
% 203.54/161.46 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.54/161.46 |
% 203.54/161.46 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.54/161.46 | (6166) all_562_0_40878 = 0
% 203.54/161.46 |
% 203.54/161.46 | Equations (6166) can reduce 6152 to:
% 203.54/161.46 | (62) $false
% 203.54/161.46 |
% 203.54/161.46 |-The branch is then unsatisfiable
% 203.54/161.46 |-Branch two:
% 203.54/161.46 | (8520) all_789_0_41813 = 0 & greater(all_33_1_35, all_789_1_41814) = 0 & end_time(all_33_4_38) = all_789_1_41814
% 203.54/161.46 |
% 203.54/161.46 | Applying alpha-rule on (8520) yields:
% 203.54/161.46 | (8509) all_789_0_41813 = 0
% 203.54/161.46 | (8522) greater(all_33_1_35, all_789_1_41814) = 0
% 203.54/161.46 | (8511) end_time(all_33_4_38) = all_789_1_41814
% 203.54/161.46 |
% 203.54/161.46 | Instantiating formula (43) with all_33_4_38, all_789_1_41814, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_41814, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.47 | (8512) all_789_1_41814 = all_33_1_35
% 203.54/161.47 |
% 203.54/161.47 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_41814 and discharging atoms end_time(all_33_4_38) = all_789_1_41814, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.54/161.47 | (8513) all_789_1_41814 = all_562_1_40879
% 203.54/161.47 |
% 203.54/161.47 | Combining equations (8513,8512) yields a new equation:
% 203.54/161.47 | (6162) all_562_1_40879 = all_33_1_35
% 203.54/161.47 |
% 203.54/161.47 | Simplifying 6162 yields:
% 203.54/161.47 | (6163) all_562_1_40879 = all_33_1_35
% 203.54/161.47 |
% 203.54/161.47 | From (6163) and (6153) follows:
% 203.54/161.47 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.54/161.47 |
% 203.54/161.47 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.54/161.47 | (6166) all_562_0_40878 = 0
% 203.54/161.47 |
% 203.54/161.47 | Equations (6166) can reduce 6152 to:
% 203.54/161.47 | (62) $false
% 203.54/161.47 |
% 203.54/161.47 |-The branch is then unsatisfiable
% 203.54/161.47 |-Branch two:
% 203.54/161.47 | (8531) ~ (all_789_1_41814 = 0) & environment(all_33_4_38) = all_789_1_41814
% 203.54/161.47 |
% 203.54/161.47 | Applying alpha-rule on (8531) yields:
% 203.54/161.47 | (8532) ~ (all_789_1_41814 = 0)
% 203.54/161.47 | (8533) environment(all_33_4_38) = all_789_1_41814
% 203.54/161.47 |
% 203.54/161.47 | Instantiating formula (35) with all_33_4_38, all_789_1_41814, 0 and discharging atoms environment(all_33_4_38) = all_789_1_41814, environment(all_33_4_38) = 0, yields:
% 203.54/161.47 | (8534) all_789_1_41814 = 0
% 203.54/161.47 |
% 203.54/161.47 | Equations (8534) can reduce 8532 to:
% 203.54/161.47 | (62) $false
% 203.54/161.47 |
% 203.54/161.47 |-The branch is then unsatisfiable
% 203.54/161.47 |-Branch two:
% 203.54/161.47 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.54/161.47 |
% 203.54/161.47 | Applying alpha-rule on (6184) yields:
% 203.54/161.47 | (6185) ~ (all_562_1_40879 = 0)
% 203.54/161.47 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.54/161.47 |
% 203.54/161.47 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.54/161.47 | (6147) all_562_1_40879 = 0
% 203.54/161.47 |
% 203.54/161.47 | Equations (6147) can reduce 6185 to:
% 203.54/161.47 | (62) $false
% 203.54/161.47 |
% 203.54/161.47 |-The branch is then unsatisfiable
% 203.54/161.47 |-Branch two:
% 203.54/161.47 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.54/161.47 |
% 203.54/161.47 | Applying alpha-rule on (6189) yields:
% 203.54/161.47 | (6122) all_450_0_40845 = 0
% 203.54/161.47 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.54/161.47 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.54/161.47 |
% 203.54/161.47 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.47 | (6125) all_450_1_40846 = all_33_1_35
% 203.54/161.47 |
% 203.54/161.47 | From (6125) and (6124) follows:
% 203.54/161.47 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.54/161.47 |
% 203.54/161.47 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.54/161.47 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.54/161.47 |
% 203.54/161.47 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.54/161.47 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.54/161.47 |
% 203.54/161.47 | Instantiating (287) with all_774_0_41817 yields:
% 203.54/161.47 | (8549) (all_774_0_41817 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_41817 = 0) & environment(all_33_4_38) = all_774_0_41817) | ( ~ (all_774_0_41817 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_41817)
% 203.54/161.47 |
% 203.54/161.47 | Instantiating (6127) with all_775_0_41818, all_775_1_41819 yields:
% 203.54/161.47 | (8550) (all_775_0_41818 = 0 & greater_or_equal(all_775_1_41819, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_41819) | (all_775_0_41818 = 0 & greater(all_33_1_35, all_775_1_41819) = 0 & end_time(all_33_4_38) = all_775_1_41819) | ( ~ (all_775_1_41819 = 0) & environment(all_33_4_38) = all_775_1_41819)
% 203.54/161.47 |
% 203.54/161.47 +-Applying beta-rule and splitting (8549), into two cases.
% 203.54/161.47 |-Branch one:
% 203.54/161.47 | (8551) (all_774_0_41817 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_41817 = 0) & environment(all_33_4_38) = all_774_0_41817)
% 203.54/161.47 |
% 203.54/161.47 +-Applying beta-rule and splitting (8551), into two cases.
% 203.54/161.47 |-Branch one:
% 203.54/161.47 | (8552) all_774_0_41817 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.54/161.47 |
% 203.54/161.47 | Applying alpha-rule on (8552) yields:
% 203.54/161.47 | (8553) all_774_0_41817 = 0
% 203.54/161.47 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.54/161.47 |
% 203.54/161.47 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.54/161.47 | (109) all_33_0_34 = 0
% 203.54/161.47 |
% 203.54/161.47 | Equations (109) can reduce 72 to:
% 203.54/161.47 | (62) $false
% 203.54/161.47 |
% 203.54/161.47 |-The branch is then unsatisfiable
% 203.54/161.47 |-Branch two:
% 203.54/161.47 | (8557) ~ (all_774_0_41817 = 0) & environment(all_33_4_38) = all_774_0_41817
% 203.54/161.47 |
% 203.54/161.47 | Applying alpha-rule on (8557) yields:
% 203.54/161.47 | (8558) ~ (all_774_0_41817 = 0)
% 203.54/161.47 | (8559) environment(all_33_4_38) = all_774_0_41817
% 203.54/161.47 |
% 203.54/161.47 | Instantiating formula (35) with all_33_4_38, all_774_0_41817, 0 and discharging atoms environment(all_33_4_38) = all_774_0_41817, environment(all_33_4_38) = 0, yields:
% 203.54/161.47 | (8553) all_774_0_41817 = 0
% 203.54/161.47 |
% 203.54/161.47 | Equations (8553) can reduce 8558 to:
% 203.54/161.47 | (62) $false
% 203.54/161.47 |
% 203.54/161.47 |-The branch is then unsatisfiable
% 203.54/161.47 |-Branch two:
% 203.54/161.48 | (8562) ~ (all_774_0_41817 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_41817
% 203.54/161.48 |
% 203.54/161.48 | Applying alpha-rule on (8562) yields:
% 203.54/161.48 | (8558) ~ (all_774_0_41817 = 0)
% 203.54/161.48 | (8564) in_environment(all_33_4_38, all_33_1_35) = all_774_0_41817
% 203.54/161.48 |
% 203.54/161.48 +-Applying beta-rule and splitting (6084), into two cases.
% 203.54/161.48 |-Branch one:
% 203.54/161.48 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.54/161.48 |
% 203.54/161.48 +-Applying beta-rule and splitting (6145), into two cases.
% 203.54/161.48 |-Branch one:
% 203.54/161.48 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.54/161.48 |
% 203.54/161.48 | Applying alpha-rule on (6146) yields:
% 203.54/161.48 | (6147) all_562_1_40879 = 0
% 203.54/161.48 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.54/161.48 |
% 203.54/161.48 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_774_0_41817 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_774_0_41817, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.54/161.48 | (8553) all_774_0_41817 = 0
% 203.54/161.48 |
% 203.54/161.48 | Equations (8553) can reduce 8558 to:
% 203.54/161.48 | (62) $false
% 203.54/161.48 |
% 203.54/161.48 |-The branch is then unsatisfiable
% 203.54/161.48 |-Branch two:
% 203.54/161.48 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.54/161.48 |
% 203.54/161.48 | Applying alpha-rule on (6151) yields:
% 203.54/161.48 | (6152) ~ (all_562_0_40878 = 0)
% 203.54/161.48 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.54/161.48 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.54/161.48 |
% 203.54/161.48 +-Applying beta-rule and splitting (8550), into two cases.
% 203.54/161.48 |-Branch one:
% 203.54/161.48 | (8575) (all_775_0_41818 = 0 & greater_or_equal(all_775_1_41819, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_41819) | (all_775_0_41818 = 0 & greater(all_33_1_35, all_775_1_41819) = 0 & end_time(all_33_4_38) = all_775_1_41819)
% 203.54/161.48 |
% 203.54/161.48 +-Applying beta-rule and splitting (8575), into two cases.
% 203.54/161.48 |-Branch one:
% 203.54/161.48 | (8576) all_775_0_41818 = 0 & greater_or_equal(all_775_1_41819, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_41819
% 203.54/161.48 |
% 203.54/161.48 | Applying alpha-rule on (8576) yields:
% 203.54/161.48 | (8577) all_775_0_41818 = 0
% 203.54/161.48 | (8578) greater_or_equal(all_775_1_41819, all_33_1_35) = 0
% 203.54/161.48 | (8579) end_time(all_33_4_38) = all_775_1_41819
% 203.54/161.48 |
% 203.54/161.48 | Instantiating formula (43) with all_33_4_38, all_775_1_41819, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_41819, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.48 | (8580) all_775_1_41819 = all_33_1_35
% 203.54/161.48 |
% 203.54/161.48 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_41819 and discharging atoms end_time(all_33_4_38) = all_775_1_41819, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.54/161.48 | (8581) all_775_1_41819 = all_562_1_40879
% 203.54/161.48 |
% 203.54/161.48 | Combining equations (8581,8580) yields a new equation:
% 203.54/161.48 | (6162) all_562_1_40879 = all_33_1_35
% 203.54/161.48 |
% 203.54/161.48 | Simplifying 6162 yields:
% 203.54/161.48 | (6163) all_562_1_40879 = all_33_1_35
% 203.54/161.48 |
% 203.54/161.48 | From (8580) and (8578) follows:
% 203.54/161.48 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.54/161.48 |
% 203.54/161.48 | From (6163) and (6153) follows:
% 203.54/161.48 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.54/161.48 |
% 203.54/161.48 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.54/161.48 | (6166) all_562_0_40878 = 0
% 203.54/161.48 |
% 203.54/161.48 | Equations (6166) can reduce 6152 to:
% 203.54/161.48 | (62) $false
% 203.54/161.48 |
% 203.54/161.48 |-The branch is then unsatisfiable
% 203.54/161.48 |-Branch two:
% 203.54/161.48 | (8588) all_775_0_41818 = 0 & greater(all_33_1_35, all_775_1_41819) = 0 & end_time(all_33_4_38) = all_775_1_41819
% 203.54/161.48 |
% 203.54/161.48 | Applying alpha-rule on (8588) yields:
% 203.54/161.48 | (8577) all_775_0_41818 = 0
% 203.54/161.48 | (8590) greater(all_33_1_35, all_775_1_41819) = 0
% 203.54/161.48 | (8579) end_time(all_33_4_38) = all_775_1_41819
% 203.54/161.48 |
% 203.54/161.48 | Instantiating formula (43) with all_33_4_38, all_775_1_41819, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_41819, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.48 | (8580) all_775_1_41819 = all_33_1_35
% 203.54/161.48 |
% 203.54/161.48 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_41819 and discharging atoms end_time(all_33_4_38) = all_775_1_41819, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.54/161.48 | (8581) all_775_1_41819 = all_562_1_40879
% 203.54/161.48 |
% 203.54/161.48 | Combining equations (8581,8580) yields a new equation:
% 203.54/161.48 | (6162) all_562_1_40879 = all_33_1_35
% 203.54/161.48 |
% 203.54/161.48 | Simplifying 6162 yields:
% 203.54/161.48 | (6163) all_562_1_40879 = all_33_1_35
% 203.54/161.48 |
% 203.54/161.48 | From (6163) and (6153) follows:
% 203.54/161.48 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.54/161.48 |
% 203.54/161.48 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.54/161.48 | (6166) all_562_0_40878 = 0
% 203.54/161.48 |
% 203.54/161.49 | Equations (6166) can reduce 6152 to:
% 203.54/161.49 | (62) $false
% 203.54/161.49 |
% 203.54/161.49 |-The branch is then unsatisfiable
% 203.54/161.49 |-Branch two:
% 203.54/161.49 | (8599) ~ (all_775_1_41819 = 0) & environment(all_33_4_38) = all_775_1_41819
% 203.54/161.49 |
% 203.54/161.49 | Applying alpha-rule on (8599) yields:
% 203.54/161.49 | (8600) ~ (all_775_1_41819 = 0)
% 203.54/161.49 | (8601) environment(all_33_4_38) = all_775_1_41819
% 203.54/161.49 |
% 203.54/161.49 | Instantiating formula (35) with all_33_4_38, all_775_1_41819, 0 and discharging atoms environment(all_33_4_38) = all_775_1_41819, environment(all_33_4_38) = 0, yields:
% 203.54/161.49 | (8602) all_775_1_41819 = 0
% 203.54/161.49 |
% 203.54/161.49 | Equations (8602) can reduce 8600 to:
% 203.54/161.49 | (62) $false
% 203.54/161.49 |
% 203.54/161.49 |-The branch is then unsatisfiable
% 203.54/161.49 |-Branch two:
% 203.54/161.49 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.54/161.49 |
% 203.54/161.49 | Applying alpha-rule on (6184) yields:
% 203.54/161.49 | (6185) ~ (all_562_1_40879 = 0)
% 203.54/161.49 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.54/161.49 |
% 203.54/161.49 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.54/161.49 | (6147) all_562_1_40879 = 0
% 203.54/161.49 |
% 203.54/161.49 | Equations (6147) can reduce 6185 to:
% 203.54/161.49 | (62) $false
% 203.54/161.49 |
% 203.54/161.49 |-The branch is then unsatisfiable
% 203.54/161.49 |-Branch two:
% 203.54/161.49 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.54/161.49 |
% 203.54/161.49 | Applying alpha-rule on (6257) yields:
% 203.54/161.49 | (6258) ~ (all_450_1_40846 = 0)
% 203.54/161.49 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.54/161.49 |
% 203.54/161.49 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.54/161.49 | (6260) all_450_1_40846 = 0
% 203.54/161.49 |
% 203.54/161.49 | Equations (6260) can reduce 6258 to:
% 203.54/161.49 | (62) $false
% 203.54/161.49 |
% 203.54/161.49 |-The branch is then unsatisfiable
% 203.54/161.49 |-Branch two:
% 203.54/161.49 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 203.54/161.49 |
% 203.54/161.49 | Applying alpha-rule on (6410) yields:
% 203.54/161.49 | (6411) ~ (all_449_1_40844 = 0)
% 203.54/161.49 | (6412) environment(all_33_4_38) = all_449_1_40844
% 203.54/161.49 |
% 203.54/161.49 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 203.54/161.49 | (6413) all_449_1_40844 = 0
% 203.54/161.49 |
% 203.54/161.49 | Equations (6413) can reduce 6411 to:
% 203.54/161.49 | (62) $false
% 203.54/161.49 |
% 203.54/161.49 |-The branch is then unsatisfiable
% 203.54/161.49 |-Branch two:
% 203.54/161.49 | (6723) ~ (all_448_1_40842 = 0) & environment(all_33_4_38) = all_448_1_40842
% 203.54/161.49 |
% 203.54/161.49 | Applying alpha-rule on (6723) yields:
% 203.54/161.49 | (6724) ~ (all_448_1_40842 = 0)
% 203.54/161.49 | (6725) environment(all_33_4_38) = all_448_1_40842
% 203.54/161.49 |
% 203.54/161.49 | Instantiating formula (35) with all_33_4_38, all_448_1_40842, 0 and discharging atoms environment(all_33_4_38) = all_448_1_40842, environment(all_33_4_38) = 0, yields:
% 203.54/161.49 | (6726) all_448_1_40842 = 0
% 203.54/161.49 |
% 203.54/161.49 | Equations (6726) can reduce 6724 to:
% 203.54/161.49 | (62) $false
% 203.54/161.49 |
% 203.54/161.49 |-The branch is then unsatisfiable
% 203.54/161.49 |-Branch two:
% 203.54/161.49 | (7356) ~ (all_447_1_40840 = 0) & environment(all_33_4_38) = all_447_1_40840
% 203.54/161.49 |
% 203.54/161.49 | Applying alpha-rule on (7356) yields:
% 203.54/161.49 | (7357) ~ (all_447_1_40840 = 0)
% 203.54/161.49 | (7358) environment(all_33_4_38) = all_447_1_40840
% 203.54/161.49 |
% 203.54/161.49 | Instantiating formula (35) with all_33_4_38, all_447_1_40840, 0 and discharging atoms environment(all_33_4_38) = all_447_1_40840, environment(all_33_4_38) = 0, yields:
% 203.54/161.49 | (7359) all_447_1_40840 = 0
% 203.54/161.49 |
% 203.54/161.49 | Equations (7359) can reduce 7357 to:
% 203.54/161.49 | (62) $false
% 203.54/161.49 |
% 203.54/161.49 |-The branch is then unsatisfiable
% 203.54/161.49 |-Branch two:
% 203.54/161.49 | (8629) ~ (all_444_1_40834 = 0) & environment(all_33_4_38) = all_444_1_40834
% 203.54/161.49 |
% 203.54/161.49 | Applying alpha-rule on (8629) yields:
% 203.54/161.49 | (8630) ~ (all_444_1_40834 = 0)
% 203.54/161.49 | (8631) environment(all_33_4_38) = all_444_1_40834
% 203.54/161.49 |
% 203.54/161.49 | Instantiating formula (35) with all_33_4_38, all_444_1_40834, 0 and discharging atoms environment(all_33_4_38) = all_444_1_40834, environment(all_33_4_38) = 0, yields:
% 203.54/161.49 | (8632) all_444_1_40834 = 0
% 203.54/161.49 |
% 203.54/161.50 | Equations (8632) can reduce 8630 to:
% 203.54/161.50 | (62) $false
% 203.54/161.50 |
% 203.54/161.50 |-The branch is then unsatisfiable
% 203.54/161.50 |-Branch two:
% 203.54/161.50 | (8634) all_443_0_40831 = 0 & greater(all_48_2_43, all_443_1_40832) = 0 & end_time(all_33_4_38) = all_443_1_40832
% 203.54/161.50 |
% 203.54/161.50 | Applying alpha-rule on (8634) yields:
% 203.54/161.50 | (6087) all_443_0_40831 = 0
% 203.54/161.50 | (8636) greater(all_48_2_43, all_443_1_40832) = 0
% 203.54/161.50 | (6089) end_time(all_33_4_38) = all_443_1_40832
% 203.54/161.50 |
% 203.54/161.50 | Instantiating formula (43) with all_33_4_38, all_443_1_40832, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_443_1_40832, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.54/161.50 | (6090) all_443_1_40832 = all_33_1_35
% 203.54/161.50 |
% 203.54/161.50 | From (6090) and (6089) follows:
% 203.65/161.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.50 |
% 203.65/161.50 +-Applying beta-rule and splitting (6069), into two cases.
% 203.65/161.50 |-Branch one:
% 203.65/161.50 | (6092) (all_444_0_40833 = 0 & greater_or_equal(all_444_1_40834, all_51_2_49) = 0 & end_time(all_33_4_38) = all_444_1_40834) | (all_444_0_40833 = 0 & greater(all_51_2_49, all_444_1_40834) = 0 & end_time(all_33_4_38) = all_444_1_40834)
% 203.65/161.50 |
% 203.65/161.50 +-Applying beta-rule and splitting (6092), into two cases.
% 203.65/161.50 |-Branch one:
% 203.65/161.50 | (6093) all_444_0_40833 = 0 & greater_or_equal(all_444_1_40834, all_51_2_49) = 0 & end_time(all_33_4_38) = all_444_1_40834
% 203.65/161.50 |
% 203.65/161.50 | Applying alpha-rule on (6093) yields:
% 203.65/161.50 | (6094) all_444_0_40833 = 0
% 203.65/161.50 | (6095) greater_or_equal(all_444_1_40834, all_51_2_49) = 0
% 203.65/161.50 | (6096) end_time(all_33_4_38) = all_444_1_40834
% 203.65/161.50 |
% 203.65/161.50 | Instantiating formula (43) with all_33_4_38, all_444_1_40834, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_444_1_40834, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.50 | (6097) all_444_1_40834 = all_33_1_35
% 203.65/161.50 |
% 203.65/161.50 | From (6097) and (6096) follows:
% 203.65/161.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.50 |
% 203.65/161.50 +-Applying beta-rule and splitting (6070), into two cases.
% 203.65/161.50 |-Branch one:
% 203.65/161.50 | (6099) (all_447_0_40839 = 0 & greater_or_equal(all_447_1_40840, all_60_2_75) = 0 & end_time(all_33_4_38) = all_447_1_40840) | (all_447_0_40839 = 0 & greater(all_60_2_75, all_447_1_40840) = 0 & end_time(all_33_4_38) = all_447_1_40840)
% 203.65/161.50 |
% 203.65/161.50 +-Applying beta-rule and splitting (6099), into two cases.
% 203.65/161.50 |-Branch one:
% 203.65/161.50 | (6100) all_447_0_40839 = 0 & greater_or_equal(all_447_1_40840, all_60_2_75) = 0 & end_time(all_33_4_38) = all_447_1_40840
% 203.65/161.50 |
% 203.65/161.50 | Applying alpha-rule on (6100) yields:
% 203.65/161.50 | (6101) all_447_0_40839 = 0
% 203.65/161.50 | (6102) greater_or_equal(all_447_1_40840, all_60_2_75) = 0
% 203.65/161.50 | (6103) end_time(all_33_4_38) = all_447_1_40840
% 203.65/161.50 |
% 203.65/161.50 | Instantiating formula (43) with all_33_4_38, all_447_1_40840, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_447_1_40840, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.50 | (6104) all_447_1_40840 = all_33_1_35
% 203.65/161.50 |
% 203.65/161.50 | From (6104) and (6103) follows:
% 203.65/161.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.50 |
% 203.65/161.50 +-Applying beta-rule and splitting (6071), into two cases.
% 203.65/161.50 |-Branch one:
% 203.65/161.50 | (6106) (all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842) | (all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842)
% 203.65/161.50 |
% 203.65/161.50 +-Applying beta-rule and splitting (6106), into two cases.
% 203.65/161.50 |-Branch one:
% 203.65/161.50 | (6107) all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 203.65/161.50 |
% 203.65/161.50 | Applying alpha-rule on (6107) yields:
% 203.65/161.50 | (6108) all_448_0_40841 = 0
% 203.65/161.50 | (6109) greater_or_equal(all_448_1_40842, all_114_2_98) = 0
% 203.65/161.50 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 203.65/161.50 |
% 203.65/161.50 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.50 | (6111) all_448_1_40842 = all_33_1_35
% 203.65/161.50 |
% 203.65/161.50 | From (6111) and (6110) follows:
% 203.65/161.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.50 |
% 203.65/161.50 +-Applying beta-rule and splitting (6072), into two cases.
% 203.65/161.50 |-Branch one:
% 203.65/161.50 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 203.65/161.50 |
% 203.65/161.50 +-Applying beta-rule and splitting (6113), into two cases.
% 203.65/161.50 |-Branch one:
% 203.65/161.50 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.65/161.50 |
% 203.65/161.50 | Applying alpha-rule on (6114) yields:
% 203.65/161.50 | (6115) all_449_0_40843 = 0
% 203.65/161.50 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 203.65/161.50 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.65/161.50 |
% 203.65/161.50 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.50 | (6118) all_449_1_40844 = all_33_1_35
% 203.65/161.50 |
% 203.65/161.50 | From (6118) and (6117) follows:
% 203.65/161.50 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.50 |
% 203.65/161.50 +-Applying beta-rule and splitting (6073), into two cases.
% 203.65/161.50 |-Branch one:
% 203.65/161.50 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.65/161.50 |
% 203.65/161.50 +-Applying beta-rule and splitting (6120), into two cases.
% 203.65/161.50 |-Branch one:
% 203.65/161.50 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.65/161.50 |
% 203.65/161.50 | Applying alpha-rule on (6121) yields:
% 203.65/161.50 | (6122) all_450_0_40845 = 0
% 203.65/161.50 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.65/161.50 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.65/161.50 |
% 203.65/161.50 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.51 | (6125) all_450_1_40846 = all_33_1_35
% 203.65/161.51 |
% 203.65/161.51 | From (6125) and (6124) follows:
% 203.65/161.51 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.51 |
% 203.65/161.51 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.65/161.51 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.65/161.51 |
% 203.65/161.51 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.65/161.51 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.65/161.51 |
% 203.65/161.51 | Instantiating (287) with all_780_0_41855 yields:
% 203.65/161.51 | (8677) (all_780_0_41855 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_41855 = 0) & environment(all_33_4_38) = all_780_0_41855) | ( ~ (all_780_0_41855 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_41855)
% 203.65/161.51 |
% 203.65/161.51 | Instantiating (6127) with all_790_0_41873, all_790_1_41874 yields:
% 203.65/161.51 | (8678) (all_790_0_41873 = 0 & greater_or_equal(all_790_1_41874, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41874) | (all_790_0_41873 = 0 & greater(all_33_1_35, all_790_1_41874) = 0 & end_time(all_33_4_38) = all_790_1_41874) | ( ~ (all_790_1_41874 = 0) & environment(all_33_4_38) = all_790_1_41874)
% 203.65/161.51 |
% 203.65/161.51 +-Applying beta-rule and splitting (8677), into two cases.
% 203.65/161.51 |-Branch one:
% 203.65/161.51 | (8679) (all_780_0_41855 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_780_0_41855 = 0) & environment(all_33_4_38) = all_780_0_41855)
% 203.65/161.51 |
% 203.65/161.51 +-Applying beta-rule and splitting (8679), into two cases.
% 203.65/161.51 |-Branch one:
% 203.65/161.51 | (8680) all_780_0_41855 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.65/161.51 |
% 203.65/161.51 | Applying alpha-rule on (8680) yields:
% 203.65/161.51 | (8681) all_780_0_41855 = 0
% 203.65/161.51 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.65/161.51 |
% 203.65/161.51 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.65/161.51 | (109) all_33_0_34 = 0
% 203.65/161.51 |
% 203.65/161.51 | Equations (109) can reduce 72 to:
% 203.65/161.51 | (62) $false
% 203.65/161.51 |
% 203.65/161.51 |-The branch is then unsatisfiable
% 203.65/161.51 |-Branch two:
% 203.65/161.51 | (8685) ~ (all_780_0_41855 = 0) & environment(all_33_4_38) = all_780_0_41855
% 203.65/161.51 |
% 203.65/161.51 | Applying alpha-rule on (8685) yields:
% 203.65/161.51 | (8686) ~ (all_780_0_41855 = 0)
% 203.65/161.51 | (8687) environment(all_33_4_38) = all_780_0_41855
% 203.65/161.51 |
% 203.65/161.51 | Instantiating formula (35) with all_33_4_38, all_780_0_41855, 0 and discharging atoms environment(all_33_4_38) = all_780_0_41855, environment(all_33_4_38) = 0, yields:
% 203.65/161.51 | (8681) all_780_0_41855 = 0
% 203.65/161.51 |
% 203.65/161.51 | Equations (8681) can reduce 8686 to:
% 203.65/161.51 | (62) $false
% 203.65/161.51 |
% 203.65/161.51 |-The branch is then unsatisfiable
% 203.65/161.51 |-Branch two:
% 203.65/161.51 | (8690) ~ (all_780_0_41855 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_780_0_41855
% 203.65/161.51 |
% 203.65/161.51 | Applying alpha-rule on (8690) yields:
% 203.65/161.51 | (8686) ~ (all_780_0_41855 = 0)
% 203.65/161.51 | (8692) in_environment(all_33_4_38, all_33_1_35) = all_780_0_41855
% 203.65/161.51 |
% 203.65/161.51 +-Applying beta-rule and splitting (6084), into two cases.
% 203.65/161.51 |-Branch one:
% 203.65/161.51 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.65/161.51 |
% 203.65/161.51 +-Applying beta-rule and splitting (6145), into two cases.
% 203.65/161.51 |-Branch one:
% 203.65/161.51 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.65/161.51 |
% 203.65/161.51 | Applying alpha-rule on (6146) yields:
% 203.65/161.51 | (6147) all_562_1_40879 = 0
% 203.65/161.51 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.65/161.51 |
% 203.65/161.51 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_780_0_41855 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_780_0_41855, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.65/161.51 | (8681) all_780_0_41855 = 0
% 203.65/161.51 |
% 203.65/161.51 | Equations (8681) can reduce 8686 to:
% 203.65/161.51 | (62) $false
% 203.65/161.51 |
% 203.65/161.51 |-The branch is then unsatisfiable
% 203.65/161.51 |-Branch two:
% 203.65/161.51 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.65/161.51 |
% 203.65/161.51 | Applying alpha-rule on (6151) yields:
% 203.65/161.51 | (6152) ~ (all_562_0_40878 = 0)
% 203.65/161.51 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.65/161.51 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.65/161.51 |
% 203.65/161.51 +-Applying beta-rule and splitting (8678), into two cases.
% 203.65/161.51 |-Branch one:
% 203.65/161.51 | (8703) (all_790_0_41873 = 0 & greater_or_equal(all_790_1_41874, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41874) | (all_790_0_41873 = 0 & greater(all_33_1_35, all_790_1_41874) = 0 & end_time(all_33_4_38) = all_790_1_41874)
% 203.65/161.51 |
% 203.65/161.51 +-Applying beta-rule and splitting (8703), into two cases.
% 203.65/161.51 |-Branch one:
% 203.65/161.51 | (8704) all_790_0_41873 = 0 & greater_or_equal(all_790_1_41874, all_33_1_35) = 0 & end_time(all_33_4_38) = all_790_1_41874
% 203.65/161.51 |
% 203.65/161.51 | Applying alpha-rule on (8704) yields:
% 203.65/161.51 | (8705) all_790_0_41873 = 0
% 203.65/161.51 | (8706) greater_or_equal(all_790_1_41874, all_33_1_35) = 0
% 203.65/161.51 | (8707) end_time(all_33_4_38) = all_790_1_41874
% 203.65/161.51 |
% 203.65/161.51 | Instantiating formula (43) with all_33_4_38, all_790_1_41874, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_41874, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.51 | (8708) all_790_1_41874 = all_33_1_35
% 203.65/161.51 |
% 203.65/161.51 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_41874 and discharging atoms end_time(all_33_4_38) = all_790_1_41874, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.65/161.52 | (8709) all_790_1_41874 = all_562_1_40879
% 203.65/161.52 |
% 203.65/161.52 | Combining equations (8709,8708) yields a new equation:
% 203.65/161.52 | (6162) all_562_1_40879 = all_33_1_35
% 203.65/161.52 |
% 203.65/161.52 | Simplifying 6162 yields:
% 203.65/161.52 | (6163) all_562_1_40879 = all_33_1_35
% 203.65/161.52 |
% 203.65/161.52 | From (8708) and (8706) follows:
% 203.65/161.52 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.65/161.52 |
% 203.65/161.52 | From (6163) and (6153) follows:
% 203.65/161.52 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.65/161.52 |
% 203.65/161.52 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.65/161.52 | (6166) all_562_0_40878 = 0
% 203.65/161.52 |
% 203.65/161.52 | Equations (6166) can reduce 6152 to:
% 203.65/161.52 | (62) $false
% 203.65/161.52 |
% 203.65/161.52 |-The branch is then unsatisfiable
% 203.65/161.52 |-Branch two:
% 203.65/161.52 | (8716) all_790_0_41873 = 0 & greater(all_33_1_35, all_790_1_41874) = 0 & end_time(all_33_4_38) = all_790_1_41874
% 203.65/161.52 |
% 203.65/161.52 | Applying alpha-rule on (8716) yields:
% 203.65/161.52 | (8705) all_790_0_41873 = 0
% 203.65/161.52 | (8718) greater(all_33_1_35, all_790_1_41874) = 0
% 203.65/161.52 | (8707) end_time(all_33_4_38) = all_790_1_41874
% 203.65/161.52 |
% 203.65/161.52 | Instantiating formula (43) with all_33_4_38, all_790_1_41874, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_790_1_41874, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.52 | (8708) all_790_1_41874 = all_33_1_35
% 203.65/161.52 |
% 203.65/161.52 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_790_1_41874 and discharging atoms end_time(all_33_4_38) = all_790_1_41874, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.65/161.52 | (8709) all_790_1_41874 = all_562_1_40879
% 203.65/161.52 |
% 203.65/161.52 | Combining equations (8709,8708) yields a new equation:
% 203.65/161.52 | (6162) all_562_1_40879 = all_33_1_35
% 203.65/161.52 |
% 203.65/161.52 | Simplifying 6162 yields:
% 203.65/161.52 | (6163) all_562_1_40879 = all_33_1_35
% 203.65/161.52 |
% 203.65/161.52 | From (6163) and (6153) follows:
% 203.65/161.52 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.65/161.52 |
% 203.65/161.52 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.65/161.52 | (6166) all_562_0_40878 = 0
% 203.65/161.52 |
% 203.65/161.52 | Equations (6166) can reduce 6152 to:
% 203.65/161.52 | (62) $false
% 203.65/161.52 |
% 203.65/161.52 |-The branch is then unsatisfiable
% 203.65/161.52 |-Branch two:
% 203.65/161.52 | (8727) ~ (all_790_1_41874 = 0) & environment(all_33_4_38) = all_790_1_41874
% 203.65/161.52 |
% 203.65/161.52 | Applying alpha-rule on (8727) yields:
% 203.65/161.52 | (8728) ~ (all_790_1_41874 = 0)
% 203.65/161.52 | (8729) environment(all_33_4_38) = all_790_1_41874
% 203.65/161.52 |
% 203.65/161.52 | Instantiating formula (35) with all_33_4_38, all_790_1_41874, 0 and discharging atoms environment(all_33_4_38) = all_790_1_41874, environment(all_33_4_38) = 0, yields:
% 203.65/161.52 | (8730) all_790_1_41874 = 0
% 203.65/161.52 |
% 203.65/161.52 | Equations (8730) can reduce 8728 to:
% 203.65/161.52 | (62) $false
% 203.65/161.52 |
% 203.65/161.52 |-The branch is then unsatisfiable
% 203.65/161.52 |-Branch two:
% 203.65/161.52 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.65/161.52 |
% 203.65/161.52 | Applying alpha-rule on (6184) yields:
% 203.65/161.52 | (6185) ~ (all_562_1_40879 = 0)
% 203.65/161.52 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.65/161.52 |
% 203.65/161.52 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.65/161.52 | (6147) all_562_1_40879 = 0
% 203.65/161.52 |
% 203.65/161.52 | Equations (6147) can reduce 6185 to:
% 203.65/161.52 | (62) $false
% 203.65/161.52 |
% 203.65/161.52 |-The branch is then unsatisfiable
% 203.65/161.52 |-Branch two:
% 203.65/161.52 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.65/161.52 |
% 203.65/161.52 | Applying alpha-rule on (6189) yields:
% 203.65/161.52 | (6122) all_450_0_40845 = 0
% 203.65/161.53 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.65/161.53 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.65/161.53 |
% 203.65/161.53 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.53 | (6125) all_450_1_40846 = all_33_1_35
% 203.65/161.53 |
% 203.65/161.53 | From (6125) and (6124) follows:
% 203.65/161.53 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.53 |
% 203.65/161.53 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.65/161.53 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.65/161.53 |
% 203.65/161.53 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.65/161.53 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.65/161.53 |
% 203.65/161.53 | Instantiating (287) with all_779_0_41885 yields:
% 203.65/161.53 | (8745) (all_779_0_41885 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41885 = 0) & environment(all_33_4_38) = all_779_0_41885) | ( ~ (all_779_0_41885 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41885)
% 203.65/161.53 |
% 203.65/161.53 | Instantiating (6127) with all_788_0_41901, all_788_1_41902 yields:
% 203.65/161.53 | (8746) (all_788_0_41901 = 0 & greater_or_equal(all_788_1_41902, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41902) | (all_788_0_41901 = 0 & greater(all_33_1_35, all_788_1_41902) = 0 & end_time(all_33_4_38) = all_788_1_41902) | ( ~ (all_788_1_41902 = 0) & environment(all_33_4_38) = all_788_1_41902)
% 203.65/161.53 |
% 203.65/161.53 +-Applying beta-rule and splitting (8745), into two cases.
% 203.65/161.53 |-Branch one:
% 203.65/161.53 | (8747) (all_779_0_41885 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41885 = 0) & environment(all_33_4_38) = all_779_0_41885)
% 203.65/161.53 |
% 203.65/161.53 +-Applying beta-rule and splitting (8747), into two cases.
% 203.65/161.53 |-Branch one:
% 203.65/161.53 | (8748) all_779_0_41885 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.65/161.53 |
% 203.65/161.53 | Applying alpha-rule on (8748) yields:
% 203.65/161.53 | (8749) all_779_0_41885 = 0
% 203.65/161.53 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.65/161.53 |
% 203.65/161.53 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.65/161.53 | (109) all_33_0_34 = 0
% 203.65/161.53 |
% 203.65/161.53 | Equations (109) can reduce 72 to:
% 203.65/161.53 | (62) $false
% 203.65/161.53 |
% 203.65/161.53 |-The branch is then unsatisfiable
% 203.65/161.53 |-Branch two:
% 203.65/161.53 | (8753) ~ (all_779_0_41885 = 0) & environment(all_33_4_38) = all_779_0_41885
% 203.65/161.53 |
% 203.65/161.53 | Applying alpha-rule on (8753) yields:
% 203.65/161.53 | (8754) ~ (all_779_0_41885 = 0)
% 203.65/161.53 | (8755) environment(all_33_4_38) = all_779_0_41885
% 203.65/161.53 |
% 203.65/161.53 | Instantiating formula (35) with all_33_4_38, all_779_0_41885, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41885, environment(all_33_4_38) = 0, yields:
% 203.65/161.53 | (8749) all_779_0_41885 = 0
% 203.65/161.53 |
% 203.65/161.53 | Equations (8749) can reduce 8754 to:
% 203.65/161.53 | (62) $false
% 203.65/161.53 |
% 203.65/161.53 |-The branch is then unsatisfiable
% 203.65/161.53 |-Branch two:
% 203.65/161.53 | (8758) ~ (all_779_0_41885 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41885
% 203.65/161.53 |
% 203.65/161.53 | Applying alpha-rule on (8758) yields:
% 203.65/161.53 | (8754) ~ (all_779_0_41885 = 0)
% 203.65/161.53 | (8760) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41885
% 203.65/161.53 |
% 203.65/161.53 +-Applying beta-rule and splitting (6084), into two cases.
% 203.65/161.53 |-Branch one:
% 203.65/161.53 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.65/161.53 |
% 203.65/161.53 +-Applying beta-rule and splitting (6145), into two cases.
% 203.65/161.53 |-Branch one:
% 203.65/161.53 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.65/161.53 |
% 203.65/161.53 | Applying alpha-rule on (6146) yields:
% 203.65/161.53 | (6147) all_562_1_40879 = 0
% 203.65/161.53 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.65/161.53 |
% 203.65/161.53 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41885 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41885, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.65/161.53 | (8749) all_779_0_41885 = 0
% 203.65/161.53 |
% 203.65/161.53 | Equations (8749) can reduce 8754 to:
% 203.65/161.53 | (62) $false
% 203.65/161.53 |
% 203.65/161.53 |-The branch is then unsatisfiable
% 203.65/161.53 |-Branch two:
% 203.65/161.53 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.65/161.53 |
% 203.65/161.53 | Applying alpha-rule on (6151) yields:
% 203.65/161.53 | (6152) ~ (all_562_0_40878 = 0)
% 203.65/161.53 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.65/161.53 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.65/161.53 |
% 203.65/161.53 +-Applying beta-rule and splitting (8746), into two cases.
% 203.65/161.53 |-Branch one:
% 203.65/161.53 | (8771) (all_788_0_41901 = 0 & greater_or_equal(all_788_1_41902, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41902) | (all_788_0_41901 = 0 & greater(all_33_1_35, all_788_1_41902) = 0 & end_time(all_33_4_38) = all_788_1_41902)
% 203.65/161.53 |
% 203.65/161.53 +-Applying beta-rule and splitting (8771), into two cases.
% 203.65/161.53 |-Branch one:
% 203.65/161.53 | (8772) all_788_0_41901 = 0 & greater_or_equal(all_788_1_41902, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41902
% 203.65/161.53 |
% 203.65/161.53 | Applying alpha-rule on (8772) yields:
% 203.65/161.53 | (8773) all_788_0_41901 = 0
% 203.65/161.53 | (8774) greater_or_equal(all_788_1_41902, all_33_1_35) = 0
% 203.65/161.54 | (8775) end_time(all_33_4_38) = all_788_1_41902
% 203.65/161.54 |
% 203.65/161.54 | Instantiating formula (43) with all_33_4_38, all_788_1_41902, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41902, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.54 | (8776) all_788_1_41902 = all_33_1_35
% 203.65/161.54 |
% 203.65/161.54 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41902 and discharging atoms end_time(all_33_4_38) = all_788_1_41902, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.65/161.54 | (8777) all_788_1_41902 = all_562_1_40879
% 203.65/161.54 |
% 203.65/161.54 | Combining equations (8777,8776) yields a new equation:
% 203.65/161.54 | (6162) all_562_1_40879 = all_33_1_35
% 203.65/161.54 |
% 203.65/161.54 | Simplifying 6162 yields:
% 203.65/161.54 | (6163) all_562_1_40879 = all_33_1_35
% 203.65/161.54 |
% 203.65/161.54 | From (8776) and (8774) follows:
% 203.65/161.54 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.65/161.54 |
% 203.65/161.54 | From (6163) and (6153) follows:
% 203.65/161.54 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.65/161.54 |
% 203.65/161.54 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.65/161.54 | (6166) all_562_0_40878 = 0
% 203.65/161.54 |
% 203.65/161.54 | Equations (6166) can reduce 6152 to:
% 203.65/161.54 | (62) $false
% 203.65/161.54 |
% 203.65/161.54 |-The branch is then unsatisfiable
% 203.65/161.54 |-Branch two:
% 203.65/161.54 | (8784) all_788_0_41901 = 0 & greater(all_33_1_35, all_788_1_41902) = 0 & end_time(all_33_4_38) = all_788_1_41902
% 203.65/161.54 |
% 203.65/161.54 | Applying alpha-rule on (8784) yields:
% 203.65/161.54 | (8773) all_788_0_41901 = 0
% 203.65/161.54 | (8786) greater(all_33_1_35, all_788_1_41902) = 0
% 203.65/161.54 | (8775) end_time(all_33_4_38) = all_788_1_41902
% 203.65/161.54 |
% 203.65/161.54 | Instantiating formula (43) with all_33_4_38, all_788_1_41902, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41902, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.54 | (8776) all_788_1_41902 = all_33_1_35
% 203.65/161.54 |
% 203.65/161.54 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41902 and discharging atoms end_time(all_33_4_38) = all_788_1_41902, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.65/161.54 | (8777) all_788_1_41902 = all_562_1_40879
% 203.65/161.54 |
% 203.65/161.54 | Combining equations (8777,8776) yields a new equation:
% 203.65/161.54 | (6162) all_562_1_40879 = all_33_1_35
% 203.65/161.54 |
% 203.65/161.54 | Simplifying 6162 yields:
% 203.65/161.54 | (6163) all_562_1_40879 = all_33_1_35
% 203.65/161.54 |
% 203.65/161.54 | From (6163) and (6153) follows:
% 203.65/161.54 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.65/161.54 |
% 203.65/161.54 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.65/161.54 | (6166) all_562_0_40878 = 0
% 203.65/161.54 |
% 203.65/161.54 | Equations (6166) can reduce 6152 to:
% 203.65/161.54 | (62) $false
% 203.65/161.54 |
% 203.65/161.54 |-The branch is then unsatisfiable
% 203.65/161.54 |-Branch two:
% 203.65/161.54 | (8795) ~ (all_788_1_41902 = 0) & environment(all_33_4_38) = all_788_1_41902
% 203.65/161.54 |
% 203.65/161.54 | Applying alpha-rule on (8795) yields:
% 203.65/161.54 | (8796) ~ (all_788_1_41902 = 0)
% 203.65/161.54 | (8797) environment(all_33_4_38) = all_788_1_41902
% 203.65/161.54 |
% 203.65/161.54 | Instantiating formula (35) with all_33_4_38, all_788_1_41902, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41902, environment(all_33_4_38) = 0, yields:
% 203.65/161.54 | (8798) all_788_1_41902 = 0
% 203.65/161.54 |
% 203.65/161.54 | Equations (8798) can reduce 8796 to:
% 203.65/161.54 | (62) $false
% 203.65/161.54 |
% 203.65/161.54 |-The branch is then unsatisfiable
% 203.65/161.54 |-Branch two:
% 203.65/161.54 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.65/161.54 |
% 203.65/161.54 | Applying alpha-rule on (6184) yields:
% 203.65/161.54 | (6185) ~ (all_562_1_40879 = 0)
% 203.65/161.54 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.65/161.54 |
% 203.65/161.54 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.65/161.54 | (6147) all_562_1_40879 = 0
% 203.65/161.54 |
% 203.65/161.54 | Equations (6147) can reduce 6185 to:
% 203.65/161.54 | (62) $false
% 203.65/161.54 |
% 203.65/161.54 |-The branch is then unsatisfiable
% 203.65/161.54 |-Branch two:
% 203.65/161.54 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.65/161.54 |
% 203.65/161.54 | Applying alpha-rule on (6257) yields:
% 203.65/161.54 | (6258) ~ (all_450_1_40846 = 0)
% 203.65/161.54 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.65/161.54 |
% 203.65/161.54 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.65/161.54 | (6260) all_450_1_40846 = 0
% 203.65/161.54 |
% 203.65/161.54 | Equations (6260) can reduce 6258 to:
% 203.65/161.54 | (62) $false
% 203.65/161.54 |
% 203.65/161.54 |-The branch is then unsatisfiable
% 203.65/161.55 |-Branch two:
% 203.65/161.55 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.65/161.55 |
% 203.65/161.55 | Applying alpha-rule on (6262) yields:
% 203.65/161.55 | (6115) all_449_0_40843 = 0
% 203.65/161.55 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 203.65/161.55 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.65/161.55 |
% 203.65/161.55 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.55 | (6118) all_449_1_40844 = all_33_1_35
% 203.65/161.55 |
% 203.65/161.55 | From (6118) and (6117) follows:
% 203.65/161.55 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.55 |
% 203.65/161.55 +-Applying beta-rule and splitting (6073), into two cases.
% 203.65/161.55 |-Branch one:
% 203.65/161.55 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.65/161.55 |
% 203.65/161.55 +-Applying beta-rule and splitting (6120), into two cases.
% 203.65/161.55 |-Branch one:
% 203.65/161.55 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.65/161.55 |
% 203.65/161.55 | Applying alpha-rule on (6121) yields:
% 203.65/161.55 | (6122) all_450_0_40845 = 0
% 203.65/161.55 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.65/161.55 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.65/161.55 |
% 203.65/161.55 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.55 | (6125) all_450_1_40846 = all_33_1_35
% 203.65/161.55 |
% 203.65/161.55 | From (6125) and (6124) follows:
% 203.65/161.55 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.55 |
% 203.65/161.55 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.65/161.55 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.65/161.55 |
% 203.65/161.55 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.65/161.55 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.65/161.55 |
% 203.65/161.55 | Instantiating (287) with all_779_0_41915 yields:
% 203.65/161.55 | (8825) (all_779_0_41915 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41915 = 0) & environment(all_33_4_38) = all_779_0_41915) | ( ~ (all_779_0_41915 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41915)
% 203.65/161.55 |
% 203.65/161.55 | Instantiating (6127) with all_788_0_41931, all_788_1_41932 yields:
% 203.65/161.55 | (8826) (all_788_0_41931 = 0 & greater_or_equal(all_788_1_41932, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41932) | (all_788_0_41931 = 0 & greater(all_33_1_35, all_788_1_41932) = 0 & end_time(all_33_4_38) = all_788_1_41932) | ( ~ (all_788_1_41932 = 0) & environment(all_33_4_38) = all_788_1_41932)
% 203.65/161.55 |
% 203.65/161.55 +-Applying beta-rule and splitting (8825), into two cases.
% 203.65/161.55 |-Branch one:
% 203.65/161.55 | (8827) (all_779_0_41915 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41915 = 0) & environment(all_33_4_38) = all_779_0_41915)
% 203.65/161.55 |
% 203.65/161.55 +-Applying beta-rule and splitting (8827), into two cases.
% 203.65/161.55 |-Branch one:
% 203.65/161.55 | (8828) all_779_0_41915 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.65/161.55 |
% 203.65/161.55 | Applying alpha-rule on (8828) yields:
% 203.65/161.55 | (8829) all_779_0_41915 = 0
% 203.65/161.55 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.65/161.55 |
% 203.65/161.55 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.65/161.55 | (109) all_33_0_34 = 0
% 203.65/161.55 |
% 203.65/161.55 | Equations (109) can reduce 72 to:
% 203.65/161.55 | (62) $false
% 203.65/161.55 |
% 203.65/161.55 |-The branch is then unsatisfiable
% 203.65/161.55 |-Branch two:
% 203.65/161.55 | (8833) ~ (all_779_0_41915 = 0) & environment(all_33_4_38) = all_779_0_41915
% 203.65/161.55 |
% 203.65/161.55 | Applying alpha-rule on (8833) yields:
% 203.65/161.55 | (8834) ~ (all_779_0_41915 = 0)
% 203.65/161.55 | (8835) environment(all_33_4_38) = all_779_0_41915
% 203.65/161.55 |
% 203.65/161.55 | Instantiating formula (35) with all_33_4_38, all_779_0_41915, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41915, environment(all_33_4_38) = 0, yields:
% 203.65/161.55 | (8829) all_779_0_41915 = 0
% 203.65/161.55 |
% 203.65/161.55 | Equations (8829) can reduce 8834 to:
% 203.65/161.55 | (62) $false
% 203.65/161.55 |
% 203.65/161.55 |-The branch is then unsatisfiable
% 203.65/161.55 |-Branch two:
% 203.65/161.55 | (8838) ~ (all_779_0_41915 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41915
% 203.65/161.55 |
% 203.65/161.55 | Applying alpha-rule on (8838) yields:
% 203.65/161.55 | (8834) ~ (all_779_0_41915 = 0)
% 203.65/161.55 | (8840) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41915
% 203.65/161.55 |
% 203.65/161.55 +-Applying beta-rule and splitting (6084), into two cases.
% 203.65/161.55 |-Branch one:
% 203.65/161.55 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.65/161.55 |
% 203.65/161.55 +-Applying beta-rule and splitting (6145), into two cases.
% 203.65/161.55 |-Branch one:
% 203.65/161.55 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.65/161.55 |
% 203.65/161.55 | Applying alpha-rule on (6146) yields:
% 203.65/161.55 | (6147) all_562_1_40879 = 0
% 203.65/161.55 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.65/161.55 |
% 203.65/161.55 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41915 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41915, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.65/161.55 | (8829) all_779_0_41915 = 0
% 203.65/161.55 |
% 203.65/161.55 | Equations (8829) can reduce 8834 to:
% 203.65/161.55 | (62) $false
% 203.65/161.55 |
% 203.65/161.55 |-The branch is then unsatisfiable
% 203.65/161.55 |-Branch two:
% 203.65/161.55 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.65/161.55 |
% 203.65/161.55 | Applying alpha-rule on (6151) yields:
% 203.65/161.55 | (6152) ~ (all_562_0_40878 = 0)
% 203.65/161.55 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.65/161.55 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.65/161.55 |
% 203.65/161.55 +-Applying beta-rule and splitting (8826), into two cases.
% 203.65/161.55 |-Branch one:
% 203.65/161.55 | (8851) (all_788_0_41931 = 0 & greater_or_equal(all_788_1_41932, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41932) | (all_788_0_41931 = 0 & greater(all_33_1_35, all_788_1_41932) = 0 & end_time(all_33_4_38) = all_788_1_41932)
% 203.65/161.56 |
% 203.65/161.56 +-Applying beta-rule and splitting (8851), into two cases.
% 203.65/161.56 |-Branch one:
% 203.65/161.56 | (8852) all_788_0_41931 = 0 & greater_or_equal(all_788_1_41932, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41932
% 203.65/161.56 |
% 203.65/161.56 | Applying alpha-rule on (8852) yields:
% 203.65/161.56 | (8853) all_788_0_41931 = 0
% 203.65/161.56 | (8854) greater_or_equal(all_788_1_41932, all_33_1_35) = 0
% 203.65/161.56 | (8855) end_time(all_33_4_38) = all_788_1_41932
% 203.65/161.56 |
% 203.65/161.56 | Instantiating formula (43) with all_33_4_38, all_788_1_41932, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41932, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.56 | (8856) all_788_1_41932 = all_33_1_35
% 203.65/161.56 |
% 203.65/161.56 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41932 and discharging atoms end_time(all_33_4_38) = all_788_1_41932, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.65/161.56 | (8857) all_788_1_41932 = all_562_1_40879
% 203.65/161.56 |
% 203.65/161.56 | Combining equations (8857,8856) yields a new equation:
% 203.65/161.56 | (6162) all_562_1_40879 = all_33_1_35
% 203.65/161.56 |
% 203.65/161.56 | Simplifying 6162 yields:
% 203.65/161.56 | (6163) all_562_1_40879 = all_33_1_35
% 203.65/161.56 |
% 203.65/161.56 | From (8856) and (8854) follows:
% 203.65/161.56 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.65/161.56 |
% 203.65/161.56 | From (6163) and (6153) follows:
% 203.65/161.56 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.65/161.56 |
% 203.65/161.56 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.65/161.56 | (6166) all_562_0_40878 = 0
% 203.65/161.56 |
% 203.65/161.56 | Equations (6166) can reduce 6152 to:
% 203.65/161.56 | (62) $false
% 203.65/161.56 |
% 203.65/161.56 |-The branch is then unsatisfiable
% 203.65/161.56 |-Branch two:
% 203.65/161.56 | (8864) all_788_0_41931 = 0 & greater(all_33_1_35, all_788_1_41932) = 0 & end_time(all_33_4_38) = all_788_1_41932
% 203.65/161.56 |
% 203.65/161.56 | Applying alpha-rule on (8864) yields:
% 203.65/161.56 | (8853) all_788_0_41931 = 0
% 203.65/161.56 | (8866) greater(all_33_1_35, all_788_1_41932) = 0
% 203.65/161.56 | (8855) end_time(all_33_4_38) = all_788_1_41932
% 203.65/161.56 |
% 203.65/161.56 | Instantiating formula (43) with all_33_4_38, all_788_1_41932, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41932, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.56 | (8856) all_788_1_41932 = all_33_1_35
% 203.65/161.56 |
% 203.65/161.56 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41932 and discharging atoms end_time(all_33_4_38) = all_788_1_41932, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.65/161.56 | (8857) all_788_1_41932 = all_562_1_40879
% 203.65/161.56 |
% 203.65/161.56 | Combining equations (8857,8856) yields a new equation:
% 203.65/161.56 | (6162) all_562_1_40879 = all_33_1_35
% 203.65/161.56 |
% 203.65/161.56 | Simplifying 6162 yields:
% 203.65/161.56 | (6163) all_562_1_40879 = all_33_1_35
% 203.65/161.56 |
% 203.65/161.56 | From (6163) and (6153) follows:
% 203.65/161.56 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.65/161.56 |
% 203.65/161.56 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.65/161.56 | (6166) all_562_0_40878 = 0
% 203.65/161.56 |
% 203.65/161.56 | Equations (6166) can reduce 6152 to:
% 203.65/161.56 | (62) $false
% 203.65/161.56 |
% 203.65/161.56 |-The branch is then unsatisfiable
% 203.65/161.56 |-Branch two:
% 203.65/161.56 | (8875) ~ (all_788_1_41932 = 0) & environment(all_33_4_38) = all_788_1_41932
% 203.65/161.56 |
% 203.65/161.56 | Applying alpha-rule on (8875) yields:
% 203.65/161.56 | (8876) ~ (all_788_1_41932 = 0)
% 203.65/161.56 | (8877) environment(all_33_4_38) = all_788_1_41932
% 203.65/161.56 |
% 203.65/161.56 | Instantiating formula (35) with all_33_4_38, all_788_1_41932, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41932, environment(all_33_4_38) = 0, yields:
% 203.65/161.56 | (8878) all_788_1_41932 = 0
% 203.65/161.56 |
% 203.65/161.56 | Equations (8878) can reduce 8876 to:
% 203.65/161.56 | (62) $false
% 203.65/161.56 |
% 203.65/161.56 |-The branch is then unsatisfiable
% 203.65/161.56 |-Branch two:
% 203.65/161.56 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.65/161.56 |
% 203.65/161.56 | Applying alpha-rule on (6184) yields:
% 203.65/161.56 | (6185) ~ (all_562_1_40879 = 0)
% 203.65/161.56 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.65/161.56 |
% 203.65/161.56 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.65/161.56 | (6147) all_562_1_40879 = 0
% 203.65/161.56 |
% 203.65/161.56 | Equations (6147) can reduce 6185 to:
% 203.65/161.56 | (62) $false
% 203.65/161.56 |
% 203.65/161.56 |-The branch is then unsatisfiable
% 203.65/161.56 |-Branch two:
% 203.65/161.56 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.65/161.56 |
% 203.65/161.56 | Applying alpha-rule on (6189) yields:
% 203.65/161.56 | (6122) all_450_0_40845 = 0
% 203.65/161.57 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.65/161.57 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.65/161.57 |
% 203.65/161.57 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.57 | (6125) all_450_1_40846 = all_33_1_35
% 203.65/161.57 |
% 203.65/161.57 | From (6125) and (6124) follows:
% 203.65/161.57 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.57 |
% 203.65/161.57 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.65/161.57 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.65/161.57 |
% 203.65/161.57 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.65/161.57 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.65/161.57 |
% 203.65/161.57 | Instantiating (287) with all_783_0_41952 yields:
% 203.65/161.57 | (8893) (all_783_0_41952 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41952 = 0) & environment(all_33_4_38) = all_783_0_41952) | ( ~ (all_783_0_41952 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41952)
% 203.65/161.57 |
% 203.65/161.57 | Instantiating (6127) with all_784_0_41953, all_784_1_41954 yields:
% 203.65/161.57 | (8894) (all_784_0_41953 = 0 & greater_or_equal(all_784_1_41954, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41954) | (all_784_0_41953 = 0 & greater(all_33_1_35, all_784_1_41954) = 0 & end_time(all_33_4_38) = all_784_1_41954) | ( ~ (all_784_1_41954 = 0) & environment(all_33_4_38) = all_784_1_41954)
% 203.65/161.57 |
% 203.65/161.57 +-Applying beta-rule and splitting (8893), into two cases.
% 203.65/161.57 |-Branch one:
% 203.65/161.57 | (8895) (all_783_0_41952 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_41952 = 0) & environment(all_33_4_38) = all_783_0_41952)
% 203.65/161.57 |
% 203.65/161.57 +-Applying beta-rule and splitting (8895), into two cases.
% 203.65/161.57 |-Branch one:
% 203.65/161.57 | (8896) all_783_0_41952 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.65/161.57 |
% 203.65/161.57 | Applying alpha-rule on (8896) yields:
% 203.65/161.57 | (8897) all_783_0_41952 = 0
% 203.65/161.57 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.65/161.57 |
% 203.65/161.57 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.65/161.57 | (109) all_33_0_34 = 0
% 203.65/161.57 |
% 203.65/161.57 | Equations (109) can reduce 72 to:
% 203.65/161.57 | (62) $false
% 203.65/161.57 |
% 203.65/161.57 |-The branch is then unsatisfiable
% 203.65/161.57 |-Branch two:
% 203.65/161.57 | (8901) ~ (all_783_0_41952 = 0) & environment(all_33_4_38) = all_783_0_41952
% 203.65/161.57 |
% 203.65/161.57 | Applying alpha-rule on (8901) yields:
% 203.65/161.57 | (8902) ~ (all_783_0_41952 = 0)
% 203.65/161.57 | (8903) environment(all_33_4_38) = all_783_0_41952
% 203.65/161.57 |
% 203.65/161.57 | Instantiating formula (35) with all_33_4_38, all_783_0_41952, 0 and discharging atoms environment(all_33_4_38) = all_783_0_41952, environment(all_33_4_38) = 0, yields:
% 203.65/161.57 | (8897) all_783_0_41952 = 0
% 203.65/161.57 |
% 203.65/161.57 | Equations (8897) can reduce 8902 to:
% 203.65/161.57 | (62) $false
% 203.65/161.57 |
% 203.65/161.57 |-The branch is then unsatisfiable
% 203.65/161.57 |-Branch two:
% 203.65/161.57 | (8906) ~ (all_783_0_41952 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_41952
% 203.65/161.57 |
% 203.65/161.57 | Applying alpha-rule on (8906) yields:
% 203.65/161.57 | (8902) ~ (all_783_0_41952 = 0)
% 203.65/161.57 | (8908) in_environment(all_33_4_38, all_33_1_35) = all_783_0_41952
% 203.65/161.57 |
% 203.65/161.57 +-Applying beta-rule and splitting (6084), into two cases.
% 203.65/161.57 |-Branch one:
% 203.65/161.57 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.65/161.57 |
% 203.65/161.57 +-Applying beta-rule and splitting (6145), into two cases.
% 203.65/161.57 |-Branch one:
% 203.65/161.57 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.65/161.57 |
% 203.65/161.57 | Applying alpha-rule on (6146) yields:
% 203.65/161.57 | (6147) all_562_1_40879 = 0
% 203.65/161.57 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.65/161.57 |
% 203.65/161.57 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_41952 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_41952, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.65/161.57 | (8897) all_783_0_41952 = 0
% 203.65/161.57 |
% 203.65/161.57 | Equations (8897) can reduce 8902 to:
% 203.65/161.57 | (62) $false
% 203.65/161.57 |
% 203.65/161.57 |-The branch is then unsatisfiable
% 203.65/161.57 |-Branch two:
% 203.65/161.57 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.65/161.57 |
% 203.65/161.57 | Applying alpha-rule on (6151) yields:
% 203.65/161.57 | (6152) ~ (all_562_0_40878 = 0)
% 203.65/161.57 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.65/161.57 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.65/161.57 |
% 203.65/161.57 +-Applying beta-rule and splitting (8894), into two cases.
% 203.65/161.57 |-Branch one:
% 203.65/161.57 | (8919) (all_784_0_41953 = 0 & greater_or_equal(all_784_1_41954, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41954) | (all_784_0_41953 = 0 & greater(all_33_1_35, all_784_1_41954) = 0 & end_time(all_33_4_38) = all_784_1_41954)
% 203.65/161.57 |
% 203.65/161.57 +-Applying beta-rule and splitting (8919), into two cases.
% 203.65/161.57 |-Branch one:
% 203.65/161.57 | (8920) all_784_0_41953 = 0 & greater_or_equal(all_784_1_41954, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_41954
% 203.65/161.57 |
% 203.65/161.57 | Applying alpha-rule on (8920) yields:
% 203.65/161.57 | (8921) all_784_0_41953 = 0
% 203.65/161.57 | (8922) greater_or_equal(all_784_1_41954, all_33_1_35) = 0
% 203.65/161.57 | (8923) end_time(all_33_4_38) = all_784_1_41954
% 203.65/161.57 |
% 203.65/161.57 | Instantiating formula (43) with all_33_4_38, all_784_1_41954, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41954, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.57 | (8924) all_784_1_41954 = all_33_1_35
% 203.65/161.57 |
% 203.65/161.57 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41954 and discharging atoms end_time(all_33_4_38) = all_784_1_41954, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.65/161.57 | (8925) all_784_1_41954 = all_562_1_40879
% 203.65/161.57 |
% 203.65/161.57 | Combining equations (8925,8924) yields a new equation:
% 203.65/161.58 | (6162) all_562_1_40879 = all_33_1_35
% 203.65/161.58 |
% 203.65/161.58 | Simplifying 6162 yields:
% 203.65/161.58 | (6163) all_562_1_40879 = all_33_1_35
% 203.65/161.58 |
% 203.65/161.58 | From (8924) and (8922) follows:
% 203.65/161.58 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.65/161.58 |
% 203.65/161.58 | From (6163) and (6153) follows:
% 203.65/161.58 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.65/161.58 |
% 203.65/161.58 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.65/161.58 | (6166) all_562_0_40878 = 0
% 203.65/161.58 |
% 203.65/161.58 | Equations (6166) can reduce 6152 to:
% 203.65/161.58 | (62) $false
% 203.65/161.58 |
% 203.65/161.58 |-The branch is then unsatisfiable
% 203.65/161.58 |-Branch two:
% 203.65/161.58 | (8932) all_784_0_41953 = 0 & greater(all_33_1_35, all_784_1_41954) = 0 & end_time(all_33_4_38) = all_784_1_41954
% 203.65/161.58 |
% 203.65/161.58 | Applying alpha-rule on (8932) yields:
% 203.65/161.58 | (8921) all_784_0_41953 = 0
% 203.65/161.58 | (8934) greater(all_33_1_35, all_784_1_41954) = 0
% 203.65/161.58 | (8923) end_time(all_33_4_38) = all_784_1_41954
% 203.65/161.58 |
% 203.65/161.58 | Instantiating formula (43) with all_33_4_38, all_784_1_41954, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_41954, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.58 | (8924) all_784_1_41954 = all_33_1_35
% 203.65/161.58 |
% 203.65/161.58 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_41954 and discharging atoms end_time(all_33_4_38) = all_784_1_41954, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.65/161.58 | (8925) all_784_1_41954 = all_562_1_40879
% 203.65/161.58 |
% 203.65/161.58 | Combining equations (8925,8924) yields a new equation:
% 203.65/161.58 | (6162) all_562_1_40879 = all_33_1_35
% 203.65/161.58 |
% 203.65/161.58 | Simplifying 6162 yields:
% 203.65/161.58 | (6163) all_562_1_40879 = all_33_1_35
% 203.65/161.58 |
% 203.65/161.58 | From (6163) and (6153) follows:
% 203.65/161.58 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.65/161.58 |
% 203.65/161.58 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.65/161.58 | (6166) all_562_0_40878 = 0
% 203.65/161.58 |
% 203.65/161.58 | Equations (6166) can reduce 6152 to:
% 203.65/161.58 | (62) $false
% 203.65/161.58 |
% 203.65/161.58 |-The branch is then unsatisfiable
% 203.65/161.58 |-Branch two:
% 203.65/161.58 | (8943) ~ (all_784_1_41954 = 0) & environment(all_33_4_38) = all_784_1_41954
% 203.65/161.58 |
% 203.65/161.58 | Applying alpha-rule on (8943) yields:
% 203.65/161.58 | (8944) ~ (all_784_1_41954 = 0)
% 203.65/161.58 | (8945) environment(all_33_4_38) = all_784_1_41954
% 203.65/161.58 |
% 203.65/161.58 | Instantiating formula (35) with all_33_4_38, all_784_1_41954, 0 and discharging atoms environment(all_33_4_38) = all_784_1_41954, environment(all_33_4_38) = 0, yields:
% 203.65/161.58 | (8946) all_784_1_41954 = 0
% 203.65/161.58 |
% 203.65/161.58 | Equations (8946) can reduce 8944 to:
% 203.65/161.58 | (62) $false
% 203.65/161.58 |
% 203.65/161.58 |-The branch is then unsatisfiable
% 203.65/161.58 |-Branch two:
% 203.65/161.58 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.65/161.58 |
% 203.65/161.58 | Applying alpha-rule on (6184) yields:
% 203.65/161.58 | (6185) ~ (all_562_1_40879 = 0)
% 203.65/161.58 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.65/161.58 |
% 203.65/161.58 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.65/161.58 | (6147) all_562_1_40879 = 0
% 203.65/161.58 |
% 203.65/161.58 | Equations (6147) can reduce 6185 to:
% 203.65/161.58 | (62) $false
% 203.65/161.58 |
% 203.65/161.58 |-The branch is then unsatisfiable
% 203.65/161.58 |-Branch two:
% 203.65/161.58 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.65/161.58 |
% 203.65/161.58 | Applying alpha-rule on (6257) yields:
% 203.65/161.58 | (6258) ~ (all_450_1_40846 = 0)
% 203.65/161.58 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.65/161.58 |
% 203.65/161.58 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.65/161.58 | (6260) all_450_1_40846 = 0
% 203.65/161.58 |
% 203.65/161.58 | Equations (6260) can reduce 6258 to:
% 203.65/161.58 | (62) $false
% 203.65/161.58 |
% 203.65/161.58 |-The branch is then unsatisfiable
% 203.65/161.58 |-Branch two:
% 203.65/161.58 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 203.65/161.58 |
% 203.65/161.58 | Applying alpha-rule on (6410) yields:
% 203.65/161.58 | (6411) ~ (all_449_1_40844 = 0)
% 203.65/161.58 | (6412) environment(all_33_4_38) = all_449_1_40844
% 203.65/161.58 |
% 203.65/161.58 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 203.65/161.58 | (6413) all_449_1_40844 = 0
% 203.65/161.58 |
% 203.65/161.59 | Equations (6413) can reduce 6411 to:
% 203.65/161.59 | (62) $false
% 203.65/161.59 |
% 203.65/161.59 |-The branch is then unsatisfiable
% 203.65/161.59 |-Branch two:
% 203.65/161.59 | (6415) all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 203.65/161.59 |
% 203.65/161.59 | Applying alpha-rule on (6415) yields:
% 203.65/161.59 | (6108) all_448_0_40841 = 0
% 203.65/161.59 | (6417) greater(all_114_2_98, all_448_1_40842) = 0
% 203.65/161.59 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 203.65/161.59 |
% 203.65/161.59 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.59 | (6111) all_448_1_40842 = all_33_1_35
% 203.65/161.59 |
% 203.65/161.59 | From (6111) and (6110) follows:
% 203.65/161.59 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.59 |
% 203.65/161.59 +-Applying beta-rule and splitting (6072), into two cases.
% 203.65/161.59 |-Branch one:
% 203.65/161.59 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 203.65/161.59 |
% 203.65/161.59 +-Applying beta-rule and splitting (6113), into two cases.
% 203.65/161.59 |-Branch one:
% 203.65/161.59 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.65/161.59 |
% 203.65/161.59 | Applying alpha-rule on (6114) yields:
% 203.65/161.59 | (6115) all_449_0_40843 = 0
% 203.65/161.59 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 203.65/161.59 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.65/161.59 |
% 203.65/161.59 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.59 | (6118) all_449_1_40844 = all_33_1_35
% 203.65/161.59 |
% 203.65/161.59 | From (6118) and (6117) follows:
% 203.65/161.59 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.59 |
% 203.65/161.59 +-Applying beta-rule and splitting (6073), into two cases.
% 203.65/161.59 |-Branch one:
% 203.65/161.59 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.65/161.59 |
% 203.65/161.59 +-Applying beta-rule and splitting (6120), into two cases.
% 203.65/161.59 |-Branch one:
% 203.65/161.59 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.65/161.59 |
% 203.65/161.59 | Applying alpha-rule on (6121) yields:
% 203.65/161.59 | (6122) all_450_0_40845 = 0
% 203.65/161.59 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.65/161.59 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.65/161.59 |
% 203.65/161.59 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.65/161.59 | (6125) all_450_1_40846 = all_33_1_35
% 203.65/161.59 |
% 203.65/161.59 | From (6125) and (6124) follows:
% 203.65/161.59 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.65/161.59 |
% 203.65/161.59 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.65/161.59 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.65/161.59 |
% 203.65/161.59 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.65/161.59 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.65/161.59 |
% 203.65/161.59 | Instantiating (287) with all_779_0_41975 yields:
% 203.65/161.59 | (8985) (all_779_0_41975 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41975 = 0) & environment(all_33_4_38) = all_779_0_41975) | ( ~ (all_779_0_41975 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41975)
% 203.65/161.59 |
% 203.65/161.59 | Instantiating (6127) with all_788_0_41991, all_788_1_41992 yields:
% 203.65/161.59 | (8986) (all_788_0_41991 = 0 & greater_or_equal(all_788_1_41992, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41992) | (all_788_0_41991 = 0 & greater(all_33_1_35, all_788_1_41992) = 0 & end_time(all_33_4_38) = all_788_1_41992) | ( ~ (all_788_1_41992 = 0) & environment(all_33_4_38) = all_788_1_41992)
% 203.65/161.59 |
% 203.65/161.59 +-Applying beta-rule and splitting (8985), into two cases.
% 203.65/161.59 |-Branch one:
% 203.65/161.59 | (8987) (all_779_0_41975 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_41975 = 0) & environment(all_33_4_38) = all_779_0_41975)
% 203.65/161.59 |
% 203.65/161.59 +-Applying beta-rule and splitting (8987), into two cases.
% 203.65/161.59 |-Branch one:
% 203.65/161.59 | (8988) all_779_0_41975 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.65/161.59 |
% 203.65/161.59 | Applying alpha-rule on (8988) yields:
% 203.65/161.59 | (8989) all_779_0_41975 = 0
% 203.65/161.59 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.65/161.59 |
% 203.65/161.59 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.65/161.59 | (109) all_33_0_34 = 0
% 203.65/161.59 |
% 203.65/161.59 | Equations (109) can reduce 72 to:
% 203.65/161.59 | (62) $false
% 203.65/161.59 |
% 203.65/161.59 |-The branch is then unsatisfiable
% 203.65/161.59 |-Branch two:
% 203.65/161.59 | (8993) ~ (all_779_0_41975 = 0) & environment(all_33_4_38) = all_779_0_41975
% 203.65/161.59 |
% 203.65/161.59 | Applying alpha-rule on (8993) yields:
% 203.65/161.59 | (8994) ~ (all_779_0_41975 = 0)
% 203.65/161.59 | (8995) environment(all_33_4_38) = all_779_0_41975
% 203.65/161.59 |
% 203.65/161.59 | Instantiating formula (35) with all_33_4_38, all_779_0_41975, 0 and discharging atoms environment(all_33_4_38) = all_779_0_41975, environment(all_33_4_38) = 0, yields:
% 203.65/161.59 | (8989) all_779_0_41975 = 0
% 203.65/161.59 |
% 203.78/161.59 | Equations (8989) can reduce 8994 to:
% 203.78/161.59 | (62) $false
% 203.78/161.59 |
% 203.78/161.59 |-The branch is then unsatisfiable
% 203.78/161.59 |-Branch two:
% 203.78/161.59 | (8998) ~ (all_779_0_41975 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_41975
% 203.78/161.59 |
% 203.78/161.59 | Applying alpha-rule on (8998) yields:
% 203.78/161.59 | (8994) ~ (all_779_0_41975 = 0)
% 203.78/161.59 | (9000) in_environment(all_33_4_38, all_33_1_35) = all_779_0_41975
% 203.78/161.59 |
% 203.78/161.59 +-Applying beta-rule and splitting (6084), into two cases.
% 203.78/161.59 |-Branch one:
% 203.78/161.59 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.78/161.59 |
% 203.78/161.59 +-Applying beta-rule and splitting (6145), into two cases.
% 203.78/161.59 |-Branch one:
% 203.78/161.60 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.78/161.60 |
% 203.78/161.60 | Applying alpha-rule on (6146) yields:
% 203.78/161.60 | (6147) all_562_1_40879 = 0
% 203.78/161.60 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.78/161.60 |
% 203.78/161.60 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_41975 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_41975, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.78/161.60 | (8989) all_779_0_41975 = 0
% 203.78/161.60 |
% 203.78/161.60 | Equations (8989) can reduce 8994 to:
% 203.78/161.60 | (62) $false
% 203.78/161.60 |
% 203.78/161.60 |-The branch is then unsatisfiable
% 203.78/161.60 |-Branch two:
% 203.78/161.60 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.78/161.60 |
% 203.78/161.60 | Applying alpha-rule on (6151) yields:
% 203.78/161.60 | (6152) ~ (all_562_0_40878 = 0)
% 203.78/161.60 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.78/161.60 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.78/161.60 |
% 203.78/161.60 +-Applying beta-rule and splitting (8986), into two cases.
% 203.78/161.60 |-Branch one:
% 203.78/161.60 | (9011) (all_788_0_41991 = 0 & greater_or_equal(all_788_1_41992, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41992) | (all_788_0_41991 = 0 & greater(all_33_1_35, all_788_1_41992) = 0 & end_time(all_33_4_38) = all_788_1_41992)
% 203.78/161.60 |
% 203.78/161.60 +-Applying beta-rule and splitting (9011), into two cases.
% 203.78/161.60 |-Branch one:
% 203.78/161.60 | (9012) all_788_0_41991 = 0 & greater_or_equal(all_788_1_41992, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_41992
% 203.78/161.60 |
% 203.78/161.60 | Applying alpha-rule on (9012) yields:
% 203.78/161.60 | (9013) all_788_0_41991 = 0
% 203.78/161.60 | (9014) greater_or_equal(all_788_1_41992, all_33_1_35) = 0
% 203.78/161.60 | (9015) end_time(all_33_4_38) = all_788_1_41992
% 203.78/161.60 |
% 203.78/161.60 | Instantiating formula (43) with all_33_4_38, all_788_1_41992, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41992, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.60 | (9016) all_788_1_41992 = all_33_1_35
% 203.78/161.60 |
% 203.78/161.60 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41992 and discharging atoms end_time(all_33_4_38) = all_788_1_41992, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.78/161.60 | (9017) all_788_1_41992 = all_562_1_40879
% 203.78/161.60 |
% 203.78/161.60 | Combining equations (9017,9016) yields a new equation:
% 203.78/161.60 | (6162) all_562_1_40879 = all_33_1_35
% 203.78/161.60 |
% 203.78/161.60 | Simplifying 6162 yields:
% 203.78/161.60 | (6163) all_562_1_40879 = all_33_1_35
% 203.78/161.60 |
% 203.78/161.60 | From (9016) and (9014) follows:
% 203.78/161.60 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.78/161.60 |
% 203.78/161.60 | From (6163) and (6153) follows:
% 203.78/161.60 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.78/161.60 |
% 203.78/161.60 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.78/161.60 | (6166) all_562_0_40878 = 0
% 203.78/161.60 |
% 203.78/161.60 | Equations (6166) can reduce 6152 to:
% 203.78/161.60 | (62) $false
% 203.78/161.60 |
% 203.78/161.60 |-The branch is then unsatisfiable
% 203.78/161.60 |-Branch two:
% 203.78/161.60 | (9024) all_788_0_41991 = 0 & greater(all_33_1_35, all_788_1_41992) = 0 & end_time(all_33_4_38) = all_788_1_41992
% 203.78/161.60 |
% 203.78/161.60 | Applying alpha-rule on (9024) yields:
% 203.78/161.60 | (9013) all_788_0_41991 = 0
% 203.78/161.60 | (9026) greater(all_33_1_35, all_788_1_41992) = 0
% 203.78/161.60 | (9015) end_time(all_33_4_38) = all_788_1_41992
% 203.78/161.60 |
% 203.78/161.60 | Instantiating formula (43) with all_33_4_38, all_788_1_41992, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_41992, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.60 | (9016) all_788_1_41992 = all_33_1_35
% 203.78/161.60 |
% 203.78/161.60 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_41992 and discharging atoms end_time(all_33_4_38) = all_788_1_41992, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.78/161.60 | (9017) all_788_1_41992 = all_562_1_40879
% 203.78/161.60 |
% 203.78/161.60 | Combining equations (9017,9016) yields a new equation:
% 203.78/161.60 | (6162) all_562_1_40879 = all_33_1_35
% 203.78/161.60 |
% 203.78/161.60 | Simplifying 6162 yields:
% 203.78/161.60 | (6163) all_562_1_40879 = all_33_1_35
% 203.78/161.60 |
% 203.78/161.60 | From (6163) and (6153) follows:
% 203.78/161.60 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.78/161.60 |
% 203.78/161.60 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.78/161.60 | (6166) all_562_0_40878 = 0
% 203.78/161.60 |
% 203.78/161.60 | Equations (6166) can reduce 6152 to:
% 203.78/161.60 | (62) $false
% 203.78/161.60 |
% 203.78/161.60 |-The branch is then unsatisfiable
% 203.78/161.60 |-Branch two:
% 203.78/161.60 | (9035) ~ (all_788_1_41992 = 0) & environment(all_33_4_38) = all_788_1_41992
% 203.78/161.60 |
% 203.78/161.60 | Applying alpha-rule on (9035) yields:
% 203.78/161.60 | (9036) ~ (all_788_1_41992 = 0)
% 203.78/161.61 | (9037) environment(all_33_4_38) = all_788_1_41992
% 203.78/161.61 |
% 203.78/161.61 | Instantiating formula (35) with all_33_4_38, all_788_1_41992, 0 and discharging atoms environment(all_33_4_38) = all_788_1_41992, environment(all_33_4_38) = 0, yields:
% 203.78/161.61 | (9038) all_788_1_41992 = 0
% 203.78/161.61 |
% 203.78/161.61 | Equations (9038) can reduce 9036 to:
% 203.78/161.61 | (62) $false
% 203.78/161.61 |
% 203.78/161.61 |-The branch is then unsatisfiable
% 203.78/161.61 |-Branch two:
% 203.78/161.61 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.78/161.61 |
% 203.78/161.61 | Applying alpha-rule on (6184) yields:
% 203.78/161.61 | (6185) ~ (all_562_1_40879 = 0)
% 203.78/161.61 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.78/161.61 |
% 203.78/161.61 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.78/161.61 | (6147) all_562_1_40879 = 0
% 203.78/161.61 |
% 203.78/161.61 | Equations (6147) can reduce 6185 to:
% 203.78/161.61 | (62) $false
% 203.78/161.61 |
% 203.78/161.61 |-The branch is then unsatisfiable
% 203.78/161.61 |-Branch two:
% 203.78/161.61 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.78/161.61 |
% 203.78/161.61 | Applying alpha-rule on (6189) yields:
% 203.78/161.61 | (6122) all_450_0_40845 = 0
% 203.78/161.61 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.78/161.61 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.78/161.61 |
% 203.78/161.61 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.61 | (6125) all_450_1_40846 = all_33_1_35
% 203.78/161.61 |
% 203.78/161.61 | From (6125) and (6124) follows:
% 203.78/161.61 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.78/161.61 |
% 203.78/161.61 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.78/161.61 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.78/161.61 |
% 203.78/161.61 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.78/161.61 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.78/161.61 |
% 203.78/161.61 | Instantiating (287) with all_783_0_42012 yields:
% 203.78/161.61 | (9053) (all_783_0_42012 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42012 = 0) & environment(all_33_4_38) = all_783_0_42012) | ( ~ (all_783_0_42012 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42012)
% 203.78/161.61 |
% 203.78/161.61 | Instantiating (6127) with all_784_0_42013, all_784_1_42014 yields:
% 203.78/161.61 | (9054) (all_784_0_42013 = 0 & greater_or_equal(all_784_1_42014, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42014) | (all_784_0_42013 = 0 & greater(all_33_1_35, all_784_1_42014) = 0 & end_time(all_33_4_38) = all_784_1_42014) | ( ~ (all_784_1_42014 = 0) & environment(all_33_4_38) = all_784_1_42014)
% 203.78/161.61 |
% 203.78/161.61 +-Applying beta-rule and splitting (9053), into two cases.
% 203.78/161.61 |-Branch one:
% 203.78/161.61 | (9055) (all_783_0_42012 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42012 = 0) & environment(all_33_4_38) = all_783_0_42012)
% 203.78/161.61 |
% 203.78/161.61 +-Applying beta-rule and splitting (9055), into two cases.
% 203.78/161.61 |-Branch one:
% 203.78/161.61 | (9056) all_783_0_42012 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.78/161.61 |
% 203.78/161.61 | Applying alpha-rule on (9056) yields:
% 203.78/161.61 | (9057) all_783_0_42012 = 0
% 203.78/161.61 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.78/161.61 |
% 203.78/161.61 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.78/161.61 | (109) all_33_0_34 = 0
% 203.78/161.61 |
% 203.78/161.61 | Equations (109) can reduce 72 to:
% 203.78/161.61 | (62) $false
% 203.78/161.61 |
% 203.78/161.61 |-The branch is then unsatisfiable
% 203.78/161.61 |-Branch two:
% 203.78/161.61 | (9061) ~ (all_783_0_42012 = 0) & environment(all_33_4_38) = all_783_0_42012
% 203.78/161.61 |
% 203.78/161.61 | Applying alpha-rule on (9061) yields:
% 203.78/161.61 | (9062) ~ (all_783_0_42012 = 0)
% 203.78/161.61 | (9063) environment(all_33_4_38) = all_783_0_42012
% 203.78/161.61 |
% 203.78/161.61 | Instantiating formula (35) with all_33_4_38, all_783_0_42012, 0 and discharging atoms environment(all_33_4_38) = all_783_0_42012, environment(all_33_4_38) = 0, yields:
% 203.78/161.61 | (9057) all_783_0_42012 = 0
% 203.78/161.61 |
% 203.78/161.61 | Equations (9057) can reduce 9062 to:
% 203.78/161.61 | (62) $false
% 203.78/161.61 |
% 203.78/161.61 |-The branch is then unsatisfiable
% 203.78/161.61 |-Branch two:
% 203.78/161.61 | (9066) ~ (all_783_0_42012 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42012
% 203.78/161.61 |
% 203.78/161.61 | Applying alpha-rule on (9066) yields:
% 203.78/161.61 | (9062) ~ (all_783_0_42012 = 0)
% 203.78/161.61 | (9068) in_environment(all_33_4_38, all_33_1_35) = all_783_0_42012
% 203.78/161.61 |
% 203.78/161.61 +-Applying beta-rule and splitting (6084), into two cases.
% 203.78/161.61 |-Branch one:
% 203.78/161.61 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.78/161.61 |
% 203.78/161.61 +-Applying beta-rule and splitting (6145), into two cases.
% 203.78/161.61 |-Branch one:
% 203.78/161.61 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.78/161.61 |
% 203.78/161.61 | Applying alpha-rule on (6146) yields:
% 203.78/161.61 | (6147) all_562_1_40879 = 0
% 203.78/161.61 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.78/161.61 |
% 203.78/161.61 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_42012 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_42012, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.78/161.61 | (9057) all_783_0_42012 = 0
% 203.78/161.61 |
% 203.78/161.61 | Equations (9057) can reduce 9062 to:
% 203.78/161.61 | (62) $false
% 203.78/161.61 |
% 203.78/161.61 |-The branch is then unsatisfiable
% 203.78/161.61 |-Branch two:
% 203.78/161.61 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.78/161.61 |
% 203.78/161.61 | Applying alpha-rule on (6151) yields:
% 203.78/161.61 | (6152) ~ (all_562_0_40878 = 0)
% 203.78/161.62 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.78/161.62 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.78/161.62 |
% 203.78/161.62 +-Applying beta-rule and splitting (9054), into two cases.
% 203.78/161.62 |-Branch one:
% 203.78/161.62 | (9079) (all_784_0_42013 = 0 & greater_or_equal(all_784_1_42014, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42014) | (all_784_0_42013 = 0 & greater(all_33_1_35, all_784_1_42014) = 0 & end_time(all_33_4_38) = all_784_1_42014)
% 203.78/161.62 |
% 203.78/161.62 +-Applying beta-rule and splitting (9079), into two cases.
% 203.78/161.62 |-Branch one:
% 203.78/161.62 | (9080) all_784_0_42013 = 0 & greater_or_equal(all_784_1_42014, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42014
% 203.78/161.62 |
% 203.78/161.62 | Applying alpha-rule on (9080) yields:
% 203.78/161.62 | (9081) all_784_0_42013 = 0
% 203.78/161.62 | (9082) greater_or_equal(all_784_1_42014, all_33_1_35) = 0
% 203.78/161.62 | (9083) end_time(all_33_4_38) = all_784_1_42014
% 203.78/161.62 |
% 203.78/161.62 | Instantiating formula (43) with all_33_4_38, all_784_1_42014, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42014, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.62 | (9084) all_784_1_42014 = all_33_1_35
% 203.78/161.62 |
% 203.78/161.62 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42014 and discharging atoms end_time(all_33_4_38) = all_784_1_42014, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.78/161.62 | (9085) all_784_1_42014 = all_562_1_40879
% 203.78/161.62 |
% 203.78/161.62 | Combining equations (9085,9084) yields a new equation:
% 203.78/161.62 | (6162) all_562_1_40879 = all_33_1_35
% 203.78/161.62 |
% 203.78/161.62 | Simplifying 6162 yields:
% 203.78/161.62 | (6163) all_562_1_40879 = all_33_1_35
% 203.78/161.62 |
% 203.78/161.62 | From (9084) and (9082) follows:
% 203.78/161.62 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.78/161.62 |
% 203.78/161.62 | From (6163) and (6153) follows:
% 203.78/161.62 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.78/161.62 |
% 203.78/161.62 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.78/161.62 | (6166) all_562_0_40878 = 0
% 203.78/161.62 |
% 203.78/161.62 | Equations (6166) can reduce 6152 to:
% 203.78/161.62 | (62) $false
% 203.78/161.62 |
% 203.78/161.62 |-The branch is then unsatisfiable
% 203.78/161.62 |-Branch two:
% 203.78/161.62 | (9092) all_784_0_42013 = 0 & greater(all_33_1_35, all_784_1_42014) = 0 & end_time(all_33_4_38) = all_784_1_42014
% 203.78/161.62 |
% 203.78/161.62 | Applying alpha-rule on (9092) yields:
% 203.78/161.62 | (9081) all_784_0_42013 = 0
% 203.78/161.62 | (9094) greater(all_33_1_35, all_784_1_42014) = 0
% 203.78/161.62 | (9083) end_time(all_33_4_38) = all_784_1_42014
% 203.78/161.62 |
% 203.78/161.62 | Instantiating formula (43) with all_33_4_38, all_784_1_42014, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42014, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.62 | (9084) all_784_1_42014 = all_33_1_35
% 203.78/161.62 |
% 203.78/161.62 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42014 and discharging atoms end_time(all_33_4_38) = all_784_1_42014, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.78/161.62 | (9085) all_784_1_42014 = all_562_1_40879
% 203.78/161.62 |
% 203.78/161.62 | Combining equations (9085,9084) yields a new equation:
% 203.78/161.62 | (6162) all_562_1_40879 = all_33_1_35
% 203.78/161.62 |
% 203.78/161.62 | Simplifying 6162 yields:
% 203.78/161.62 | (6163) all_562_1_40879 = all_33_1_35
% 203.78/161.62 |
% 203.78/161.62 | From (6163) and (6153) follows:
% 203.78/161.62 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.78/161.62 |
% 203.78/161.62 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.78/161.62 | (6166) all_562_0_40878 = 0
% 203.78/161.62 |
% 203.78/161.62 | Equations (6166) can reduce 6152 to:
% 203.78/161.62 | (62) $false
% 203.78/161.62 |
% 203.78/161.62 |-The branch is then unsatisfiable
% 203.78/161.62 |-Branch two:
% 203.78/161.62 | (9103) ~ (all_784_1_42014 = 0) & environment(all_33_4_38) = all_784_1_42014
% 203.78/161.62 |
% 203.78/161.62 | Applying alpha-rule on (9103) yields:
% 203.78/161.62 | (9104) ~ (all_784_1_42014 = 0)
% 203.78/161.62 | (9105) environment(all_33_4_38) = all_784_1_42014
% 203.78/161.62 |
% 203.78/161.62 | Instantiating formula (35) with all_33_4_38, all_784_1_42014, 0 and discharging atoms environment(all_33_4_38) = all_784_1_42014, environment(all_33_4_38) = 0, yields:
% 203.78/161.62 | (9106) all_784_1_42014 = 0
% 203.78/161.62 |
% 203.78/161.62 | Equations (9106) can reduce 9104 to:
% 203.78/161.62 | (62) $false
% 203.78/161.62 |
% 203.78/161.62 |-The branch is then unsatisfiable
% 203.78/161.62 |-Branch two:
% 203.78/161.62 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.78/161.62 |
% 203.78/161.62 | Applying alpha-rule on (6184) yields:
% 203.78/161.63 | (6185) ~ (all_562_1_40879 = 0)
% 203.78/161.63 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.78/161.63 |
% 203.78/161.63 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.78/161.63 | (6147) all_562_1_40879 = 0
% 203.78/161.63 |
% 203.78/161.63 | Equations (6147) can reduce 6185 to:
% 203.78/161.63 | (62) $false
% 203.78/161.63 |
% 203.78/161.63 |-The branch is then unsatisfiable
% 203.78/161.63 |-Branch two:
% 203.78/161.63 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.78/161.63 |
% 203.78/161.63 | Applying alpha-rule on (6257) yields:
% 203.78/161.63 | (6258) ~ (all_450_1_40846 = 0)
% 203.78/161.63 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.78/161.63 |
% 203.78/161.63 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.78/161.63 | (6260) all_450_1_40846 = 0
% 203.78/161.63 |
% 203.78/161.63 | Equations (6260) can reduce 6258 to:
% 203.78/161.63 | (62) $false
% 203.78/161.63 |
% 203.78/161.63 |-The branch is then unsatisfiable
% 203.78/161.63 |-Branch two:
% 203.78/161.63 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.78/161.63 |
% 203.78/161.63 | Applying alpha-rule on (6262) yields:
% 203.78/161.63 | (6115) all_449_0_40843 = 0
% 203.78/161.63 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 203.78/161.63 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.78/161.63 |
% 203.78/161.63 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.63 | (6118) all_449_1_40844 = all_33_1_35
% 203.78/161.63 |
% 203.78/161.63 | From (6118) and (6117) follows:
% 203.78/161.63 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.78/161.63 |
% 203.78/161.63 +-Applying beta-rule and splitting (6073), into two cases.
% 203.78/161.63 |-Branch one:
% 203.78/161.63 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.78/161.63 |
% 203.78/161.63 +-Applying beta-rule and splitting (6120), into two cases.
% 203.78/161.63 |-Branch one:
% 203.78/161.63 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.78/161.63 |
% 203.78/161.63 | Applying alpha-rule on (6121) yields:
% 203.78/161.63 | (6122) all_450_0_40845 = 0
% 203.78/161.63 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.78/161.63 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.78/161.63 |
% 203.78/161.63 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.63 | (6125) all_450_1_40846 = all_33_1_35
% 203.78/161.63 |
% 203.78/161.63 | From (6125) and (6124) follows:
% 203.78/161.63 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.78/161.63 |
% 203.78/161.63 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.78/161.63 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.78/161.63 |
% 203.78/161.63 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.78/161.63 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.78/161.63 |
% 203.78/161.63 | Instantiating (287) with all_783_0_42042 yields:
% 203.78/161.63 | (9133) (all_783_0_42042 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42042 = 0) & environment(all_33_4_38) = all_783_0_42042) | ( ~ (all_783_0_42042 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42042)
% 203.78/161.63 |
% 203.78/161.63 | Instantiating (6127) with all_784_0_42043, all_784_1_42044 yields:
% 203.78/161.63 | (9134) (all_784_0_42043 = 0 & greater_or_equal(all_784_1_42044, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42044) | (all_784_0_42043 = 0 & greater(all_33_1_35, all_784_1_42044) = 0 & end_time(all_33_4_38) = all_784_1_42044) | ( ~ (all_784_1_42044 = 0) & environment(all_33_4_38) = all_784_1_42044)
% 203.78/161.63 |
% 203.78/161.63 +-Applying beta-rule and splitting (9133), into two cases.
% 203.78/161.63 |-Branch one:
% 203.78/161.63 | (9135) (all_783_0_42042 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42042 = 0) & environment(all_33_4_38) = all_783_0_42042)
% 203.78/161.63 |
% 203.78/161.63 +-Applying beta-rule and splitting (9135), into two cases.
% 203.78/161.63 |-Branch one:
% 203.78/161.63 | (9136) all_783_0_42042 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.78/161.63 |
% 203.78/161.63 | Applying alpha-rule on (9136) yields:
% 203.78/161.63 | (9137) all_783_0_42042 = 0
% 203.78/161.63 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.78/161.63 |
% 203.78/161.63 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.78/161.63 | (109) all_33_0_34 = 0
% 203.78/161.63 |
% 203.78/161.63 | Equations (109) can reduce 72 to:
% 203.78/161.63 | (62) $false
% 203.78/161.63 |
% 203.78/161.63 |-The branch is then unsatisfiable
% 203.78/161.63 |-Branch two:
% 203.78/161.63 | (9141) ~ (all_783_0_42042 = 0) & environment(all_33_4_38) = all_783_0_42042
% 203.78/161.63 |
% 203.78/161.63 | Applying alpha-rule on (9141) yields:
% 203.78/161.63 | (9142) ~ (all_783_0_42042 = 0)
% 203.78/161.63 | (9143) environment(all_33_4_38) = all_783_0_42042
% 203.78/161.63 |
% 203.78/161.63 | Instantiating formula (35) with all_33_4_38, all_783_0_42042, 0 and discharging atoms environment(all_33_4_38) = all_783_0_42042, environment(all_33_4_38) = 0, yields:
% 203.78/161.63 | (9137) all_783_0_42042 = 0
% 203.78/161.63 |
% 203.78/161.63 | Equations (9137) can reduce 9142 to:
% 203.78/161.63 | (62) $false
% 203.78/161.63 |
% 203.78/161.63 |-The branch is then unsatisfiable
% 203.78/161.63 |-Branch two:
% 203.78/161.63 | (9146) ~ (all_783_0_42042 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42042
% 203.78/161.63 |
% 203.78/161.63 | Applying alpha-rule on (9146) yields:
% 203.78/161.63 | (9142) ~ (all_783_0_42042 = 0)
% 203.78/161.63 | (9148) in_environment(all_33_4_38, all_33_1_35) = all_783_0_42042
% 203.78/161.63 |
% 203.78/161.63 +-Applying beta-rule and splitting (6084), into two cases.
% 203.78/161.63 |-Branch one:
% 203.78/161.63 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.78/161.63 |
% 203.78/161.63 +-Applying beta-rule and splitting (6145), into two cases.
% 203.78/161.63 |-Branch one:
% 203.78/161.64 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.78/161.64 |
% 203.78/161.64 | Applying alpha-rule on (6146) yields:
% 203.78/161.64 | (6147) all_562_1_40879 = 0
% 203.78/161.64 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.78/161.64 |
% 203.78/161.64 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_42042 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_42042, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.78/161.64 | (9137) all_783_0_42042 = 0
% 203.78/161.64 |
% 203.78/161.64 | Equations (9137) can reduce 9142 to:
% 203.78/161.64 | (62) $false
% 203.78/161.64 |
% 203.78/161.64 |-The branch is then unsatisfiable
% 203.78/161.64 |-Branch two:
% 203.78/161.64 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.78/161.64 |
% 203.78/161.64 | Applying alpha-rule on (6151) yields:
% 203.78/161.64 | (6152) ~ (all_562_0_40878 = 0)
% 203.78/161.64 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.78/161.64 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.78/161.64 |
% 203.78/161.64 +-Applying beta-rule and splitting (9134), into two cases.
% 203.78/161.64 |-Branch one:
% 203.78/161.64 | (9159) (all_784_0_42043 = 0 & greater_or_equal(all_784_1_42044, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42044) | (all_784_0_42043 = 0 & greater(all_33_1_35, all_784_1_42044) = 0 & end_time(all_33_4_38) = all_784_1_42044)
% 203.78/161.64 |
% 203.78/161.64 +-Applying beta-rule and splitting (9159), into two cases.
% 203.78/161.64 |-Branch one:
% 203.78/161.64 | (9160) all_784_0_42043 = 0 & greater_or_equal(all_784_1_42044, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42044
% 203.78/161.64 |
% 203.78/161.64 | Applying alpha-rule on (9160) yields:
% 203.78/161.64 | (9161) all_784_0_42043 = 0
% 203.78/161.64 | (9162) greater_or_equal(all_784_1_42044, all_33_1_35) = 0
% 203.78/161.64 | (9163) end_time(all_33_4_38) = all_784_1_42044
% 203.78/161.64 |
% 203.78/161.64 | Instantiating formula (43) with all_33_4_38, all_784_1_42044, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42044, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.64 | (9164) all_784_1_42044 = all_33_1_35
% 203.78/161.64 |
% 203.78/161.64 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42044 and discharging atoms end_time(all_33_4_38) = all_784_1_42044, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.78/161.64 | (9165) all_784_1_42044 = all_562_1_40879
% 203.78/161.64 |
% 203.78/161.64 | Combining equations (9165,9164) yields a new equation:
% 203.78/161.64 | (6162) all_562_1_40879 = all_33_1_35
% 203.78/161.64 |
% 203.78/161.64 | Simplifying 6162 yields:
% 203.78/161.64 | (6163) all_562_1_40879 = all_33_1_35
% 203.78/161.64 |
% 203.78/161.64 | From (9164) and (9162) follows:
% 203.78/161.64 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.78/161.64 |
% 203.78/161.64 | From (6163) and (6153) follows:
% 203.78/161.64 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.78/161.64 |
% 203.78/161.64 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.78/161.64 | (6166) all_562_0_40878 = 0
% 203.78/161.64 |
% 203.78/161.64 | Equations (6166) can reduce 6152 to:
% 203.78/161.64 | (62) $false
% 203.78/161.64 |
% 203.78/161.64 |-The branch is then unsatisfiable
% 203.78/161.64 |-Branch two:
% 203.78/161.64 | (9172) all_784_0_42043 = 0 & greater(all_33_1_35, all_784_1_42044) = 0 & end_time(all_33_4_38) = all_784_1_42044
% 203.78/161.64 |
% 203.78/161.64 | Applying alpha-rule on (9172) yields:
% 203.78/161.64 | (9161) all_784_0_42043 = 0
% 203.78/161.64 | (9174) greater(all_33_1_35, all_784_1_42044) = 0
% 203.78/161.64 | (9163) end_time(all_33_4_38) = all_784_1_42044
% 203.78/161.64 |
% 203.78/161.64 | Instantiating formula (43) with all_33_4_38, all_784_1_42044, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42044, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.64 | (9164) all_784_1_42044 = all_33_1_35
% 203.78/161.64 |
% 203.78/161.64 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42044 and discharging atoms end_time(all_33_4_38) = all_784_1_42044, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.78/161.64 | (9165) all_784_1_42044 = all_562_1_40879
% 203.78/161.64 |
% 203.78/161.64 | Combining equations (9165,9164) yields a new equation:
% 203.78/161.64 | (6162) all_562_1_40879 = all_33_1_35
% 203.78/161.64 |
% 203.78/161.64 | Simplifying 6162 yields:
% 203.78/161.64 | (6163) all_562_1_40879 = all_33_1_35
% 203.78/161.64 |
% 203.78/161.64 | From (6163) and (6153) follows:
% 203.78/161.64 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.78/161.64 |
% 203.78/161.64 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.78/161.64 | (6166) all_562_0_40878 = 0
% 203.78/161.64 |
% 203.78/161.64 | Equations (6166) can reduce 6152 to:
% 203.78/161.64 | (62) $false
% 203.78/161.64 |
% 203.78/161.64 |-The branch is then unsatisfiable
% 203.78/161.64 |-Branch two:
% 203.78/161.64 | (9183) ~ (all_784_1_42044 = 0) & environment(all_33_4_38) = all_784_1_42044
% 203.78/161.64 |
% 203.78/161.64 | Applying alpha-rule on (9183) yields:
% 203.78/161.64 | (9184) ~ (all_784_1_42044 = 0)
% 203.78/161.64 | (9185) environment(all_33_4_38) = all_784_1_42044
% 203.78/161.64 |
% 203.78/161.65 | Instantiating formula (35) with all_33_4_38, all_784_1_42044, 0 and discharging atoms environment(all_33_4_38) = all_784_1_42044, environment(all_33_4_38) = 0, yields:
% 203.78/161.65 | (9186) all_784_1_42044 = 0
% 203.78/161.65 |
% 203.78/161.65 | Equations (9186) can reduce 9184 to:
% 203.78/161.65 | (62) $false
% 203.78/161.65 |
% 203.78/161.65 |-The branch is then unsatisfiable
% 203.78/161.65 |-Branch two:
% 203.78/161.65 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.78/161.65 |
% 203.78/161.65 | Applying alpha-rule on (6184) yields:
% 203.78/161.65 | (6185) ~ (all_562_1_40879 = 0)
% 203.78/161.65 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.78/161.65 |
% 203.78/161.65 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.78/161.65 | (6147) all_562_1_40879 = 0
% 203.78/161.65 |
% 203.78/161.65 | Equations (6147) can reduce 6185 to:
% 203.78/161.65 | (62) $false
% 203.78/161.65 |
% 203.78/161.65 |-The branch is then unsatisfiable
% 203.78/161.65 |-Branch two:
% 203.78/161.65 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.78/161.65 |
% 203.78/161.65 | Applying alpha-rule on (6189) yields:
% 203.78/161.65 | (6122) all_450_0_40845 = 0
% 203.78/161.65 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.78/161.65 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.78/161.65 |
% 203.78/161.65 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.65 | (6125) all_450_1_40846 = all_33_1_35
% 203.78/161.65 |
% 203.78/161.65 | From (6125) and (6124) follows:
% 203.78/161.65 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.78/161.65 |
% 203.78/161.65 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.78/161.65 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.78/161.65 |
% 203.78/161.65 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.78/161.65 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.78/161.65 |
% 203.78/161.65 | Instantiating (6127) with all_789_0_42083, all_789_1_42084 yields:
% 203.78/161.65 | (9201) (all_789_0_42083 = 0 & greater_or_equal(all_789_1_42084, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42084) | (all_789_0_42083 = 0 & greater(all_33_1_35, all_789_1_42084) = 0 & end_time(all_33_4_38) = all_789_1_42084) | ( ~ (all_789_1_42084 = 0) & environment(all_33_4_38) = all_789_1_42084)
% 203.78/161.65 |
% 203.78/161.65 | Instantiating (287) with all_790_0_42085 yields:
% 203.78/161.65 | (9202) (all_790_0_42085 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42085 = 0) & environment(all_33_4_38) = all_790_0_42085) | ( ~ (all_790_0_42085 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42085)
% 203.78/161.65 |
% 203.78/161.65 +-Applying beta-rule and splitting (9202), into two cases.
% 203.78/161.65 |-Branch one:
% 203.78/161.65 | (9203) (all_790_0_42085 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42085 = 0) & environment(all_33_4_38) = all_790_0_42085)
% 203.78/161.65 |
% 203.78/161.65 +-Applying beta-rule and splitting (9203), into two cases.
% 203.78/161.65 |-Branch one:
% 203.78/161.65 | (9204) all_790_0_42085 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.78/161.65 |
% 203.78/161.65 | Applying alpha-rule on (9204) yields:
% 203.78/161.65 | (9205) all_790_0_42085 = 0
% 203.78/161.65 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.78/161.65 |
% 203.78/161.65 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.78/161.65 | (109) all_33_0_34 = 0
% 203.78/161.65 |
% 203.78/161.65 | Equations (109) can reduce 72 to:
% 203.78/161.65 | (62) $false
% 203.78/161.65 |
% 203.78/161.65 |-The branch is then unsatisfiable
% 203.78/161.65 |-Branch two:
% 203.78/161.65 | (9209) ~ (all_790_0_42085 = 0) & environment(all_33_4_38) = all_790_0_42085
% 203.78/161.65 |
% 203.78/161.65 | Applying alpha-rule on (9209) yields:
% 203.78/161.65 | (9210) ~ (all_790_0_42085 = 0)
% 203.78/161.65 | (9211) environment(all_33_4_38) = all_790_0_42085
% 203.78/161.65 |
% 203.78/161.65 | Instantiating formula (35) with all_33_4_38, all_790_0_42085, 0 and discharging atoms environment(all_33_4_38) = all_790_0_42085, environment(all_33_4_38) = 0, yields:
% 203.78/161.65 | (9205) all_790_0_42085 = 0
% 203.78/161.65 |
% 203.78/161.65 | Equations (9205) can reduce 9210 to:
% 203.78/161.65 | (62) $false
% 203.78/161.65 |
% 203.78/161.65 |-The branch is then unsatisfiable
% 203.78/161.65 |-Branch two:
% 203.78/161.65 | (9214) ~ (all_790_0_42085 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42085
% 203.78/161.65 |
% 203.78/161.65 | Applying alpha-rule on (9214) yields:
% 203.78/161.65 | (9210) ~ (all_790_0_42085 = 0)
% 203.78/161.65 | (9216) in_environment(all_33_4_38, all_33_1_35) = all_790_0_42085
% 203.78/161.65 |
% 203.78/161.65 +-Applying beta-rule and splitting (6084), into two cases.
% 203.78/161.65 |-Branch one:
% 203.78/161.65 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.78/161.65 |
% 203.78/161.65 +-Applying beta-rule and splitting (6145), into two cases.
% 203.78/161.65 |-Branch one:
% 203.78/161.65 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.78/161.65 |
% 203.78/161.65 | Applying alpha-rule on (6146) yields:
% 203.78/161.65 | (6147) all_562_1_40879 = 0
% 203.78/161.65 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.78/161.65 |
% 203.78/161.65 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_42085 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_42085, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.78/161.65 | (9205) all_790_0_42085 = 0
% 203.78/161.65 |
% 203.78/161.65 | Equations (9205) can reduce 9210 to:
% 203.78/161.65 | (62) $false
% 203.78/161.65 |
% 203.78/161.65 |-The branch is then unsatisfiable
% 203.78/161.65 |-Branch two:
% 203.78/161.65 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.78/161.65 |
% 203.78/161.65 | Applying alpha-rule on (6151) yields:
% 203.78/161.65 | (6152) ~ (all_562_0_40878 = 0)
% 203.78/161.66 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.78/161.66 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.78/161.66 |
% 203.78/161.66 +-Applying beta-rule and splitting (9201), into two cases.
% 203.78/161.66 |-Branch one:
% 203.78/161.66 | (9227) (all_789_0_42083 = 0 & greater_or_equal(all_789_1_42084, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42084) | (all_789_0_42083 = 0 & greater(all_33_1_35, all_789_1_42084) = 0 & end_time(all_33_4_38) = all_789_1_42084)
% 203.78/161.66 |
% 203.78/161.66 +-Applying beta-rule and splitting (9227), into two cases.
% 203.78/161.66 |-Branch one:
% 203.78/161.66 | (9228) all_789_0_42083 = 0 & greater_or_equal(all_789_1_42084, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42084
% 203.78/161.66 |
% 203.78/161.66 | Applying alpha-rule on (9228) yields:
% 203.78/161.66 | (9229) all_789_0_42083 = 0
% 203.78/161.66 | (9230) greater_or_equal(all_789_1_42084, all_33_1_35) = 0
% 203.78/161.66 | (9231) end_time(all_33_4_38) = all_789_1_42084
% 203.78/161.66 |
% 203.78/161.66 | Instantiating formula (43) with all_33_4_38, all_789_1_42084, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42084, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.66 | (9232) all_789_1_42084 = all_33_1_35
% 203.78/161.66 |
% 203.78/161.66 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42084 and discharging atoms end_time(all_33_4_38) = all_789_1_42084, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.78/161.66 | (9233) all_789_1_42084 = all_562_1_40879
% 203.78/161.66 |
% 203.78/161.66 | Combining equations (9233,9232) yields a new equation:
% 203.78/161.66 | (6162) all_562_1_40879 = all_33_1_35
% 203.78/161.66 |
% 203.78/161.66 | Simplifying 6162 yields:
% 203.78/161.66 | (6163) all_562_1_40879 = all_33_1_35
% 203.78/161.66 |
% 203.78/161.66 | From (9232) and (9230) follows:
% 203.78/161.66 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.78/161.66 |
% 203.78/161.66 | From (6163) and (6153) follows:
% 203.78/161.66 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.78/161.66 |
% 203.78/161.66 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.78/161.66 | (6166) all_562_0_40878 = 0
% 203.78/161.66 |
% 203.78/161.66 | Equations (6166) can reduce 6152 to:
% 203.78/161.66 | (62) $false
% 203.78/161.66 |
% 203.78/161.66 |-The branch is then unsatisfiable
% 203.78/161.66 |-Branch two:
% 203.78/161.66 | (9240) all_789_0_42083 = 0 & greater(all_33_1_35, all_789_1_42084) = 0 & end_time(all_33_4_38) = all_789_1_42084
% 203.78/161.66 |
% 203.78/161.66 | Applying alpha-rule on (9240) yields:
% 203.78/161.66 | (9229) all_789_0_42083 = 0
% 203.78/161.66 | (9242) greater(all_33_1_35, all_789_1_42084) = 0
% 203.78/161.66 | (9231) end_time(all_33_4_38) = all_789_1_42084
% 203.78/161.66 |
% 203.78/161.66 | Instantiating formula (43) with all_33_4_38, all_789_1_42084, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42084, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.66 | (9232) all_789_1_42084 = all_33_1_35
% 203.78/161.66 |
% 203.78/161.66 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42084 and discharging atoms end_time(all_33_4_38) = all_789_1_42084, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.78/161.66 | (9233) all_789_1_42084 = all_562_1_40879
% 203.78/161.66 |
% 203.78/161.66 | Combining equations (9233,9232) yields a new equation:
% 203.78/161.66 | (6162) all_562_1_40879 = all_33_1_35
% 203.78/161.66 |
% 203.78/161.66 | Simplifying 6162 yields:
% 203.78/161.66 | (6163) all_562_1_40879 = all_33_1_35
% 203.78/161.66 |
% 203.78/161.66 | From (6163) and (6153) follows:
% 203.78/161.66 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.78/161.66 |
% 203.78/161.66 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.78/161.66 | (6166) all_562_0_40878 = 0
% 203.78/161.66 |
% 203.78/161.66 | Equations (6166) can reduce 6152 to:
% 203.78/161.66 | (62) $false
% 203.78/161.66 |
% 203.78/161.66 |-The branch is then unsatisfiable
% 203.78/161.66 |-Branch two:
% 203.78/161.66 | (9251) ~ (all_789_1_42084 = 0) & environment(all_33_4_38) = all_789_1_42084
% 203.78/161.66 |
% 203.78/161.66 | Applying alpha-rule on (9251) yields:
% 203.78/161.66 | (9252) ~ (all_789_1_42084 = 0)
% 203.78/161.66 | (9253) environment(all_33_4_38) = all_789_1_42084
% 203.78/161.66 |
% 203.78/161.66 | Instantiating formula (35) with all_33_4_38, all_789_1_42084, 0 and discharging atoms environment(all_33_4_38) = all_789_1_42084, environment(all_33_4_38) = 0, yields:
% 203.78/161.66 | (9254) all_789_1_42084 = 0
% 203.78/161.66 |
% 203.78/161.66 | Equations (9254) can reduce 9252 to:
% 203.78/161.66 | (62) $false
% 203.78/161.66 |
% 203.78/161.66 |-The branch is then unsatisfiable
% 203.78/161.66 |-Branch two:
% 203.78/161.66 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.78/161.66 |
% 203.78/161.66 | Applying alpha-rule on (6184) yields:
% 203.78/161.66 | (6185) ~ (all_562_1_40879 = 0)
% 203.78/161.66 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.78/161.66 |
% 203.78/161.66 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.78/161.67 | (6147) all_562_1_40879 = 0
% 203.78/161.67 |
% 203.78/161.67 | Equations (6147) can reduce 6185 to:
% 203.78/161.67 | (62) $false
% 203.78/161.67 |
% 203.78/161.67 |-The branch is then unsatisfiable
% 203.78/161.67 |-Branch two:
% 203.78/161.67 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.78/161.67 |
% 203.78/161.67 | Applying alpha-rule on (6257) yields:
% 203.78/161.67 | (6258) ~ (all_450_1_40846 = 0)
% 203.78/161.67 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.78/161.67 |
% 203.78/161.67 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.78/161.67 | (6260) all_450_1_40846 = 0
% 203.78/161.67 |
% 203.78/161.67 | Equations (6260) can reduce 6258 to:
% 203.78/161.67 | (62) $false
% 203.78/161.67 |
% 203.78/161.67 |-The branch is then unsatisfiable
% 203.78/161.67 |-Branch two:
% 203.78/161.67 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 203.78/161.67 |
% 203.78/161.67 | Applying alpha-rule on (6410) yields:
% 203.78/161.67 | (6411) ~ (all_449_1_40844 = 0)
% 203.78/161.67 | (6412) environment(all_33_4_38) = all_449_1_40844
% 203.78/161.67 |
% 203.78/161.67 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 203.78/161.67 | (6413) all_449_1_40844 = 0
% 203.78/161.67 |
% 203.78/161.67 | Equations (6413) can reduce 6411 to:
% 203.78/161.67 | (62) $false
% 203.78/161.67 |
% 203.78/161.67 |-The branch is then unsatisfiable
% 203.78/161.67 |-Branch two:
% 203.78/161.67 | (6723) ~ (all_448_1_40842 = 0) & environment(all_33_4_38) = all_448_1_40842
% 203.78/161.67 |
% 203.78/161.67 | Applying alpha-rule on (6723) yields:
% 203.78/161.67 | (6724) ~ (all_448_1_40842 = 0)
% 203.78/161.67 | (6725) environment(all_33_4_38) = all_448_1_40842
% 203.78/161.67 |
% 203.78/161.67 | Instantiating formula (35) with all_33_4_38, all_448_1_40842, 0 and discharging atoms environment(all_33_4_38) = all_448_1_40842, environment(all_33_4_38) = 0, yields:
% 203.78/161.67 | (6726) all_448_1_40842 = 0
% 203.78/161.67 |
% 203.78/161.67 | Equations (6726) can reduce 6724 to:
% 203.78/161.67 | (62) $false
% 203.78/161.67 |
% 203.78/161.67 |-The branch is then unsatisfiable
% 203.78/161.67 |-Branch two:
% 203.78/161.67 | (6728) all_447_0_40839 = 0 & greater(all_60_2_75, all_447_1_40840) = 0 & end_time(all_33_4_38) = all_447_1_40840
% 203.78/161.67 |
% 203.78/161.67 | Applying alpha-rule on (6728) yields:
% 203.78/161.67 | (6101) all_447_0_40839 = 0
% 203.78/161.67 | (6730) greater(all_60_2_75, all_447_1_40840) = 0
% 203.78/161.67 | (6103) end_time(all_33_4_38) = all_447_1_40840
% 203.78/161.67 |
% 203.78/161.67 | Instantiating formula (43) with all_33_4_38, all_447_1_40840, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_447_1_40840, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.67 | (6104) all_447_1_40840 = all_33_1_35
% 203.78/161.67 |
% 203.78/161.67 | From (6104) and (6103) follows:
% 203.78/161.67 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.78/161.67 |
% 203.78/161.67 +-Applying beta-rule and splitting (6071), into two cases.
% 203.78/161.67 |-Branch one:
% 203.78/161.67 | (6106) (all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842) | (all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842)
% 203.78/161.67 |
% 203.78/161.67 +-Applying beta-rule and splitting (6106), into two cases.
% 203.78/161.67 |-Branch one:
% 203.78/161.67 | (6107) all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 203.78/161.67 |
% 203.78/161.67 | Applying alpha-rule on (6107) yields:
% 203.78/161.67 | (6108) all_448_0_40841 = 0
% 203.78/161.67 | (6109) greater_or_equal(all_448_1_40842, all_114_2_98) = 0
% 203.78/161.67 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 203.78/161.67 |
% 203.78/161.67 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.67 | (6111) all_448_1_40842 = all_33_1_35
% 203.78/161.67 |
% 203.78/161.67 | From (6111) and (6110) follows:
% 203.78/161.67 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.78/161.67 |
% 203.78/161.67 +-Applying beta-rule and splitting (6072), into two cases.
% 203.78/161.67 |-Branch one:
% 203.78/161.67 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 203.78/161.67 |
% 203.78/161.67 +-Applying beta-rule and splitting (6113), into two cases.
% 203.78/161.67 |-Branch one:
% 203.78/161.67 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.78/161.67 |
% 203.78/161.67 | Applying alpha-rule on (6114) yields:
% 203.78/161.67 | (6115) all_449_0_40843 = 0
% 203.78/161.67 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 203.78/161.67 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.78/161.67 |
% 203.78/161.67 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.67 | (6118) all_449_1_40844 = all_33_1_35
% 203.78/161.67 |
% 203.78/161.67 | From (6118) and (6117) follows:
% 203.78/161.67 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.78/161.67 |
% 203.78/161.67 +-Applying beta-rule and splitting (6073), into two cases.
% 203.78/161.67 |-Branch one:
% 203.78/161.67 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.78/161.67 |
% 203.78/161.67 +-Applying beta-rule and splitting (6120), into two cases.
% 203.78/161.67 |-Branch one:
% 203.78/161.67 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.78/161.67 |
% 203.78/161.67 | Applying alpha-rule on (6121) yields:
% 203.78/161.67 | (6122) all_450_0_40845 = 0
% 203.78/161.67 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.78/161.67 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.78/161.67 |
% 203.78/161.67 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.68 | (6125) all_450_1_40846 = all_33_1_35
% 203.78/161.68 |
% 203.78/161.68 | From (6125) and (6124) follows:
% 203.78/161.68 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.78/161.68 |
% 203.78/161.68 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.78/161.68 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.78/161.68 |
% 203.78/161.68 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.78/161.68 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.78/161.68 |
% 203.78/161.68 | Instantiating (287) with all_779_0_42095 yields:
% 203.78/161.68 | (9305) (all_779_0_42095 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_42095 = 0) & environment(all_33_4_38) = all_779_0_42095) | ( ~ (all_779_0_42095 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_42095)
% 203.78/161.68 |
% 203.78/161.68 | Instantiating (6127) with all_788_0_42111, all_788_1_42112 yields:
% 203.78/161.68 | (9306) (all_788_0_42111 = 0 & greater_or_equal(all_788_1_42112, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_42112) | (all_788_0_42111 = 0 & greater(all_33_1_35, all_788_1_42112) = 0 & end_time(all_33_4_38) = all_788_1_42112) | ( ~ (all_788_1_42112 = 0) & environment(all_33_4_38) = all_788_1_42112)
% 203.78/161.68 |
% 203.78/161.68 +-Applying beta-rule and splitting (9305), into two cases.
% 203.78/161.68 |-Branch one:
% 203.78/161.68 | (9307) (all_779_0_42095 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_42095 = 0) & environment(all_33_4_38) = all_779_0_42095)
% 203.78/161.68 |
% 203.78/161.68 +-Applying beta-rule and splitting (9307), into two cases.
% 203.78/161.68 |-Branch one:
% 203.78/161.68 | (9308) all_779_0_42095 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.78/161.68 |
% 203.78/161.68 | Applying alpha-rule on (9308) yields:
% 203.78/161.68 | (9309) all_779_0_42095 = 0
% 203.78/161.68 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.78/161.68 |
% 203.78/161.68 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.78/161.68 | (109) all_33_0_34 = 0
% 203.78/161.68 |
% 203.78/161.68 | Equations (109) can reduce 72 to:
% 203.78/161.68 | (62) $false
% 203.78/161.68 |
% 203.78/161.68 |-The branch is then unsatisfiable
% 203.78/161.68 |-Branch two:
% 203.78/161.68 | (9313) ~ (all_779_0_42095 = 0) & environment(all_33_4_38) = all_779_0_42095
% 203.78/161.68 |
% 203.78/161.68 | Applying alpha-rule on (9313) yields:
% 203.78/161.68 | (9314) ~ (all_779_0_42095 = 0)
% 203.78/161.68 | (9315) environment(all_33_4_38) = all_779_0_42095
% 203.78/161.68 |
% 203.78/161.68 | Instantiating formula (35) with all_33_4_38, all_779_0_42095, 0 and discharging atoms environment(all_33_4_38) = all_779_0_42095, environment(all_33_4_38) = 0, yields:
% 203.78/161.68 | (9309) all_779_0_42095 = 0
% 203.78/161.68 |
% 203.78/161.68 | Equations (9309) can reduce 9314 to:
% 203.78/161.68 | (62) $false
% 203.78/161.68 |
% 203.78/161.68 |-The branch is then unsatisfiable
% 203.78/161.68 |-Branch two:
% 203.78/161.68 | (9318) ~ (all_779_0_42095 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_42095
% 203.78/161.68 |
% 203.78/161.68 | Applying alpha-rule on (9318) yields:
% 203.78/161.68 | (9314) ~ (all_779_0_42095 = 0)
% 203.78/161.68 | (9320) in_environment(all_33_4_38, all_33_1_35) = all_779_0_42095
% 203.78/161.68 |
% 203.78/161.68 +-Applying beta-rule and splitting (6084), into two cases.
% 203.78/161.68 |-Branch one:
% 203.78/161.68 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.78/161.68 |
% 203.78/161.68 +-Applying beta-rule and splitting (6145), into two cases.
% 203.78/161.68 |-Branch one:
% 203.78/161.68 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.78/161.68 |
% 203.78/161.68 | Applying alpha-rule on (6146) yields:
% 203.78/161.68 | (6147) all_562_1_40879 = 0
% 203.78/161.68 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.78/161.68 |
% 203.78/161.68 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_42095 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_42095, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.78/161.68 | (9309) all_779_0_42095 = 0
% 203.78/161.68 |
% 203.78/161.68 | Equations (9309) can reduce 9314 to:
% 203.78/161.68 | (62) $false
% 203.78/161.68 |
% 203.78/161.68 |-The branch is then unsatisfiable
% 203.78/161.68 |-Branch two:
% 203.78/161.68 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.78/161.68 |
% 203.78/161.68 | Applying alpha-rule on (6151) yields:
% 203.78/161.68 | (6152) ~ (all_562_0_40878 = 0)
% 203.78/161.68 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.78/161.68 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.78/161.68 |
% 203.78/161.68 +-Applying beta-rule and splitting (9306), into two cases.
% 203.78/161.68 |-Branch one:
% 203.78/161.68 | (9331) (all_788_0_42111 = 0 & greater_or_equal(all_788_1_42112, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_42112) | (all_788_0_42111 = 0 & greater(all_33_1_35, all_788_1_42112) = 0 & end_time(all_33_4_38) = all_788_1_42112)
% 203.78/161.68 |
% 203.78/161.68 +-Applying beta-rule and splitting (9331), into two cases.
% 203.78/161.68 |-Branch one:
% 203.78/161.68 | (9332) all_788_0_42111 = 0 & greater_or_equal(all_788_1_42112, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_42112
% 203.78/161.68 |
% 203.78/161.68 | Applying alpha-rule on (9332) yields:
% 203.78/161.68 | (9333) all_788_0_42111 = 0
% 203.78/161.68 | (9334) greater_or_equal(all_788_1_42112, all_33_1_35) = 0
% 203.78/161.68 | (9335) end_time(all_33_4_38) = all_788_1_42112
% 203.78/161.68 |
% 203.78/161.68 | Instantiating formula (43) with all_33_4_38, all_788_1_42112, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_42112, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.68 | (9336) all_788_1_42112 = all_33_1_35
% 203.78/161.68 |
% 203.78/161.68 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_42112 and discharging atoms end_time(all_33_4_38) = all_788_1_42112, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.78/161.68 | (9337) all_788_1_42112 = all_562_1_40879
% 203.78/161.68 |
% 203.78/161.69 | Combining equations (9337,9336) yields a new equation:
% 203.78/161.69 | (6162) all_562_1_40879 = all_33_1_35
% 203.78/161.69 |
% 203.78/161.69 | Simplifying 6162 yields:
% 203.78/161.69 | (6163) all_562_1_40879 = all_33_1_35
% 203.78/161.69 |
% 203.78/161.69 | From (9336) and (9334) follows:
% 203.78/161.69 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.78/161.69 |
% 203.78/161.69 | From (6163) and (6153) follows:
% 203.78/161.69 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.78/161.69 |
% 203.78/161.69 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.78/161.69 | (6166) all_562_0_40878 = 0
% 203.78/161.69 |
% 203.78/161.69 | Equations (6166) can reduce 6152 to:
% 203.78/161.69 | (62) $false
% 203.78/161.69 |
% 203.78/161.69 |-The branch is then unsatisfiable
% 203.78/161.69 |-Branch two:
% 203.78/161.69 | (9344) all_788_0_42111 = 0 & greater(all_33_1_35, all_788_1_42112) = 0 & end_time(all_33_4_38) = all_788_1_42112
% 203.78/161.69 |
% 203.78/161.69 | Applying alpha-rule on (9344) yields:
% 203.78/161.69 | (9333) all_788_0_42111 = 0
% 203.78/161.69 | (9346) greater(all_33_1_35, all_788_1_42112) = 0
% 203.78/161.69 | (9335) end_time(all_33_4_38) = all_788_1_42112
% 203.78/161.69 |
% 203.78/161.69 | Instantiating formula (43) with all_33_4_38, all_788_1_42112, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_42112, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.78/161.69 | (9336) all_788_1_42112 = all_33_1_35
% 203.78/161.69 |
% 203.78/161.69 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_42112 and discharging atoms end_time(all_33_4_38) = all_788_1_42112, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.78/161.69 | (9337) all_788_1_42112 = all_562_1_40879
% 203.78/161.69 |
% 203.78/161.69 | Combining equations (9337,9336) yields a new equation:
% 203.78/161.69 | (6162) all_562_1_40879 = all_33_1_35
% 203.78/161.69 |
% 203.78/161.69 | Simplifying 6162 yields:
% 203.78/161.69 | (6163) all_562_1_40879 = all_33_1_35
% 203.78/161.69 |
% 203.78/161.69 | From (6163) and (6153) follows:
% 203.78/161.69 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.78/161.69 |
% 203.78/161.69 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.78/161.69 | (6166) all_562_0_40878 = 0
% 203.78/161.69 |
% 203.78/161.69 | Equations (6166) can reduce 6152 to:
% 203.78/161.69 | (62) $false
% 203.78/161.69 |
% 203.78/161.69 |-The branch is then unsatisfiable
% 203.78/161.69 |-Branch two:
% 203.78/161.69 | (9355) ~ (all_788_1_42112 = 0) & environment(all_33_4_38) = all_788_1_42112
% 203.78/161.69 |
% 203.78/161.69 | Applying alpha-rule on (9355) yields:
% 203.78/161.69 | (9356) ~ (all_788_1_42112 = 0)
% 203.78/161.69 | (9357) environment(all_33_4_38) = all_788_1_42112
% 203.78/161.69 |
% 203.78/161.69 | Instantiating formula (35) with all_33_4_38, all_788_1_42112, 0 and discharging atoms environment(all_33_4_38) = all_788_1_42112, environment(all_33_4_38) = 0, yields:
% 203.78/161.69 | (9358) all_788_1_42112 = 0
% 203.78/161.69 |
% 203.78/161.69 | Equations (9358) can reduce 9356 to:
% 203.78/161.69 | (62) $false
% 203.78/161.69 |
% 203.78/161.69 |-The branch is then unsatisfiable
% 203.78/161.69 |-Branch two:
% 203.78/161.69 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.78/161.69 |
% 203.78/161.69 | Applying alpha-rule on (6184) yields:
% 203.78/161.69 | (6185) ~ (all_562_1_40879 = 0)
% 203.78/161.69 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.78/161.69 |
% 203.78/161.69 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.78/161.69 | (6147) all_562_1_40879 = 0
% 203.78/161.69 |
% 203.78/161.69 | Equations (6147) can reduce 6185 to:
% 203.78/161.69 | (62) $false
% 203.78/161.69 |
% 203.78/161.69 |-The branch is then unsatisfiable
% 203.78/161.69 |-Branch two:
% 203.78/161.69 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.78/161.69 |
% 203.78/161.69 | Applying alpha-rule on (6189) yields:
% 203.78/161.69 | (6122) all_450_0_40845 = 0
% 203.89/161.69 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.89/161.69 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.89/161.69 |
% 203.89/161.69 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.89/161.69 | (6125) all_450_1_40846 = all_33_1_35
% 203.89/161.69 |
% 203.89/161.69 | From (6125) and (6124) follows:
% 203.89/161.69 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.89/161.69 |
% 203.89/161.69 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.89/161.69 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.89/161.69 |
% 203.89/161.69 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.89/161.69 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.89/161.69 |
% 203.89/161.69 | Instantiating (287) with all_783_0_42132 yields:
% 203.89/161.70 | (9373) (all_783_0_42132 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42132 = 0) & environment(all_33_4_38) = all_783_0_42132) | ( ~ (all_783_0_42132 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42132)
% 203.89/161.70 |
% 203.89/161.70 | Instantiating (6127) with all_784_0_42133, all_784_1_42134 yields:
% 203.89/161.70 | (9374) (all_784_0_42133 = 0 & greater_or_equal(all_784_1_42134, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42134) | (all_784_0_42133 = 0 & greater(all_33_1_35, all_784_1_42134) = 0 & end_time(all_33_4_38) = all_784_1_42134) | ( ~ (all_784_1_42134 = 0) & environment(all_33_4_38) = all_784_1_42134)
% 203.89/161.70 |
% 203.89/161.70 +-Applying beta-rule and splitting (9373), into two cases.
% 203.89/161.70 |-Branch one:
% 203.89/161.70 | (9375) (all_783_0_42132 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42132 = 0) & environment(all_33_4_38) = all_783_0_42132)
% 203.89/161.70 |
% 203.89/161.70 +-Applying beta-rule and splitting (9375), into two cases.
% 203.89/161.70 |-Branch one:
% 203.89/161.70 | (9376) all_783_0_42132 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.89/161.70 |
% 203.89/161.70 | Applying alpha-rule on (9376) yields:
% 203.89/161.70 | (9377) all_783_0_42132 = 0
% 203.89/161.70 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.89/161.70 |
% 203.89/161.70 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.89/161.70 | (109) all_33_0_34 = 0
% 203.89/161.70 |
% 203.89/161.70 | Equations (109) can reduce 72 to:
% 203.89/161.70 | (62) $false
% 203.89/161.70 |
% 203.89/161.70 |-The branch is then unsatisfiable
% 203.89/161.70 |-Branch two:
% 203.89/161.70 | (9381) ~ (all_783_0_42132 = 0) & environment(all_33_4_38) = all_783_0_42132
% 203.89/161.70 |
% 203.89/161.70 | Applying alpha-rule on (9381) yields:
% 203.89/161.70 | (9382) ~ (all_783_0_42132 = 0)
% 203.89/161.70 | (9383) environment(all_33_4_38) = all_783_0_42132
% 203.89/161.70 |
% 203.89/161.70 | Instantiating formula (35) with all_33_4_38, all_783_0_42132, 0 and discharging atoms environment(all_33_4_38) = all_783_0_42132, environment(all_33_4_38) = 0, yields:
% 203.89/161.70 | (9377) all_783_0_42132 = 0
% 203.89/161.70 |
% 203.89/161.70 | Equations (9377) can reduce 9382 to:
% 203.89/161.70 | (62) $false
% 203.89/161.70 |
% 203.89/161.70 |-The branch is then unsatisfiable
% 203.89/161.70 |-Branch two:
% 203.89/161.70 | (9386) ~ (all_783_0_42132 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42132
% 203.89/161.70 |
% 203.89/161.70 | Applying alpha-rule on (9386) yields:
% 203.89/161.70 | (9382) ~ (all_783_0_42132 = 0)
% 203.89/161.70 | (9388) in_environment(all_33_4_38, all_33_1_35) = all_783_0_42132
% 203.89/161.70 |
% 203.89/161.70 +-Applying beta-rule and splitting (6084), into two cases.
% 203.89/161.70 |-Branch one:
% 203.89/161.70 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.89/161.70 |
% 203.89/161.70 +-Applying beta-rule and splitting (6145), into two cases.
% 203.89/161.70 |-Branch one:
% 203.89/161.70 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.89/161.70 |
% 203.89/161.70 | Applying alpha-rule on (6146) yields:
% 203.89/161.70 | (6147) all_562_1_40879 = 0
% 203.89/161.70 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.89/161.70 |
% 203.89/161.70 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_42132 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_42132, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.89/161.70 | (9377) all_783_0_42132 = 0
% 203.89/161.70 |
% 203.89/161.70 | Equations (9377) can reduce 9382 to:
% 203.89/161.70 | (62) $false
% 203.89/161.70 |
% 203.89/161.70 |-The branch is then unsatisfiable
% 203.89/161.70 |-Branch two:
% 203.89/161.70 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.89/161.70 |
% 203.89/161.70 | Applying alpha-rule on (6151) yields:
% 203.89/161.70 | (6152) ~ (all_562_0_40878 = 0)
% 203.89/161.70 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.89/161.70 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.89/161.70 |
% 203.89/161.70 +-Applying beta-rule and splitting (9374), into two cases.
% 203.89/161.70 |-Branch one:
% 203.89/161.70 | (9399) (all_784_0_42133 = 0 & greater_or_equal(all_784_1_42134, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42134) | (all_784_0_42133 = 0 & greater(all_33_1_35, all_784_1_42134) = 0 & end_time(all_33_4_38) = all_784_1_42134)
% 203.89/161.70 |
% 203.89/161.70 +-Applying beta-rule and splitting (9399), into two cases.
% 203.89/161.70 |-Branch one:
% 203.89/161.70 | (9400) all_784_0_42133 = 0 & greater_or_equal(all_784_1_42134, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42134
% 203.89/161.70 |
% 203.89/161.70 | Applying alpha-rule on (9400) yields:
% 203.89/161.70 | (9401) all_784_0_42133 = 0
% 203.89/161.70 | (9402) greater_or_equal(all_784_1_42134, all_33_1_35) = 0
% 203.89/161.70 | (9403) end_time(all_33_4_38) = all_784_1_42134
% 203.89/161.70 |
% 203.89/161.70 | Instantiating formula (43) with all_33_4_38, all_784_1_42134, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42134, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.89/161.70 | (9404) all_784_1_42134 = all_33_1_35
% 203.89/161.70 |
% 203.89/161.70 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42134 and discharging atoms end_time(all_33_4_38) = all_784_1_42134, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.89/161.70 | (9405) all_784_1_42134 = all_562_1_40879
% 203.89/161.70 |
% 203.89/161.70 | Combining equations (9405,9404) yields a new equation:
% 203.89/161.70 | (6162) all_562_1_40879 = all_33_1_35
% 203.89/161.70 |
% 203.89/161.70 | Simplifying 6162 yields:
% 203.89/161.70 | (6163) all_562_1_40879 = all_33_1_35
% 203.89/161.70 |
% 203.89/161.70 | From (9404) and (9402) follows:
% 203.89/161.71 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.89/161.71 |
% 203.89/161.71 | From (6163) and (6153) follows:
% 203.89/161.71 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.89/161.71 |
% 203.89/161.71 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.89/161.71 | (6166) all_562_0_40878 = 0
% 203.89/161.71 |
% 203.89/161.71 | Equations (6166) can reduce 6152 to:
% 203.89/161.71 | (62) $false
% 203.89/161.71 |
% 203.89/161.71 |-The branch is then unsatisfiable
% 203.89/161.71 |-Branch two:
% 203.89/161.71 | (9412) all_784_0_42133 = 0 & greater(all_33_1_35, all_784_1_42134) = 0 & end_time(all_33_4_38) = all_784_1_42134
% 203.89/161.71 |
% 203.89/161.71 | Applying alpha-rule on (9412) yields:
% 203.89/161.71 | (9401) all_784_0_42133 = 0
% 203.89/161.71 | (9414) greater(all_33_1_35, all_784_1_42134) = 0
% 203.89/161.71 | (9403) end_time(all_33_4_38) = all_784_1_42134
% 203.89/161.71 |
% 203.89/161.71 | Instantiating formula (43) with all_33_4_38, all_784_1_42134, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42134, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.89/161.71 | (9404) all_784_1_42134 = all_33_1_35
% 203.89/161.71 |
% 203.89/161.71 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42134 and discharging atoms end_time(all_33_4_38) = all_784_1_42134, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.89/161.71 | (9405) all_784_1_42134 = all_562_1_40879
% 203.89/161.71 |
% 203.89/161.71 | Combining equations (9405,9404) yields a new equation:
% 203.89/161.71 | (6162) all_562_1_40879 = all_33_1_35
% 203.89/161.71 |
% 203.89/161.71 | Simplifying 6162 yields:
% 203.89/161.71 | (6163) all_562_1_40879 = all_33_1_35
% 203.89/161.71 |
% 203.89/161.71 | From (6163) and (6153) follows:
% 203.89/161.71 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.89/161.71 |
% 203.89/161.71 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.89/161.71 | (6166) all_562_0_40878 = 0
% 203.89/161.71 |
% 203.89/161.71 | Equations (6166) can reduce 6152 to:
% 203.89/161.71 | (62) $false
% 203.89/161.71 |
% 203.89/161.71 |-The branch is then unsatisfiable
% 203.89/161.71 |-Branch two:
% 203.89/161.71 | (9423) ~ (all_784_1_42134 = 0) & environment(all_33_4_38) = all_784_1_42134
% 203.89/161.71 |
% 203.89/161.71 | Applying alpha-rule on (9423) yields:
% 203.89/161.71 | (9424) ~ (all_784_1_42134 = 0)
% 203.89/161.71 | (9425) environment(all_33_4_38) = all_784_1_42134
% 203.89/161.71 |
% 203.89/161.71 | Instantiating formula (35) with all_33_4_38, all_784_1_42134, 0 and discharging atoms environment(all_33_4_38) = all_784_1_42134, environment(all_33_4_38) = 0, yields:
% 203.89/161.71 | (9426) all_784_1_42134 = 0
% 203.89/161.71 |
% 203.89/161.71 | Equations (9426) can reduce 9424 to:
% 203.89/161.71 | (62) $false
% 203.89/161.71 |
% 203.89/161.71 |-The branch is then unsatisfiable
% 203.89/161.71 |-Branch two:
% 203.89/161.71 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.89/161.71 |
% 203.89/161.71 | Applying alpha-rule on (6184) yields:
% 203.89/161.71 | (6185) ~ (all_562_1_40879 = 0)
% 203.89/161.71 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.89/161.71 |
% 203.89/161.71 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.89/161.71 | (6147) all_562_1_40879 = 0
% 203.89/161.71 |
% 203.91/161.71 | Equations (6147) can reduce 6185 to:
% 203.91/161.71 | (62) $false
% 203.91/161.71 |
% 203.91/161.71 |-The branch is then unsatisfiable
% 203.91/161.71 |-Branch two:
% 203.91/161.71 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.91/161.71 |
% 203.91/161.71 | Applying alpha-rule on (6257) yields:
% 203.91/161.71 | (6258) ~ (all_450_1_40846 = 0)
% 203.91/161.71 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.91/161.71 |
% 203.91/161.71 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.91/161.71 | (6260) all_450_1_40846 = 0
% 203.91/161.71 |
% 203.91/161.71 | Equations (6260) can reduce 6258 to:
% 203.91/161.71 | (62) $false
% 203.91/161.71 |
% 203.91/161.71 |-The branch is then unsatisfiable
% 203.91/161.71 |-Branch two:
% 203.91/161.71 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.91/161.71 |
% 203.91/161.71 | Applying alpha-rule on (6262) yields:
% 203.91/161.71 | (6115) all_449_0_40843 = 0
% 203.91/161.71 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 203.91/161.72 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.91/161.72 |
% 203.91/161.72 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.72 | (6118) all_449_1_40844 = all_33_1_35
% 203.91/161.72 |
% 203.91/161.72 | From (6118) and (6117) follows:
% 203.91/161.72 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.91/161.72 |
% 203.91/161.72 +-Applying beta-rule and splitting (6073), into two cases.
% 203.91/161.72 |-Branch one:
% 203.91/161.72 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.91/161.72 |
% 203.91/161.72 +-Applying beta-rule and splitting (6120), into two cases.
% 203.91/161.72 |-Branch one:
% 203.91/161.72 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.91/161.72 |
% 203.91/161.72 | Applying alpha-rule on (6121) yields:
% 203.91/161.72 | (6122) all_450_0_40845 = 0
% 203.91/161.72 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.91/161.72 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.91/161.72 |
% 203.91/161.72 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.72 | (6125) all_450_1_40846 = all_33_1_35
% 203.91/161.72 |
% 203.91/161.72 | From (6125) and (6124) follows:
% 203.91/161.72 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.91/161.72 |
% 203.91/161.72 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.91/161.72 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.91/161.72 |
% 203.91/161.72 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.91/161.72 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.91/161.72 |
% 203.91/161.72 | Instantiating (287) with all_783_0_42162 yields:
% 203.91/161.72 | (9453) (all_783_0_42162 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42162 = 0) & environment(all_33_4_38) = all_783_0_42162) | ( ~ (all_783_0_42162 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42162)
% 203.91/161.72 |
% 203.91/161.72 | Instantiating (6127) with all_784_0_42163, all_784_1_42164 yields:
% 203.91/161.72 | (9454) (all_784_0_42163 = 0 & greater_or_equal(all_784_1_42164, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42164) | (all_784_0_42163 = 0 & greater(all_33_1_35, all_784_1_42164) = 0 & end_time(all_33_4_38) = all_784_1_42164) | ( ~ (all_784_1_42164 = 0) & environment(all_33_4_38) = all_784_1_42164)
% 203.91/161.72 |
% 203.91/161.72 +-Applying beta-rule and splitting (9453), into two cases.
% 203.91/161.72 |-Branch one:
% 203.91/161.72 | (9455) (all_783_0_42162 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42162 = 0) & environment(all_33_4_38) = all_783_0_42162)
% 203.91/161.72 |
% 203.91/161.72 +-Applying beta-rule and splitting (9455), into two cases.
% 203.91/161.72 |-Branch one:
% 203.91/161.72 | (9456) all_783_0_42162 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.91/161.72 |
% 203.91/161.72 | Applying alpha-rule on (9456) yields:
% 203.91/161.72 | (9457) all_783_0_42162 = 0
% 203.91/161.72 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.91/161.72 |
% 203.91/161.72 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.91/161.72 | (109) all_33_0_34 = 0
% 203.91/161.72 |
% 203.91/161.72 | Equations (109) can reduce 72 to:
% 203.91/161.72 | (62) $false
% 203.91/161.72 |
% 203.91/161.72 |-The branch is then unsatisfiable
% 203.91/161.72 |-Branch two:
% 203.91/161.72 | (9461) ~ (all_783_0_42162 = 0) & environment(all_33_4_38) = all_783_0_42162
% 203.91/161.72 |
% 203.91/161.72 | Applying alpha-rule on (9461) yields:
% 203.91/161.72 | (9462) ~ (all_783_0_42162 = 0)
% 203.91/161.72 | (9463) environment(all_33_4_38) = all_783_0_42162
% 203.91/161.72 |
% 203.91/161.72 | Instantiating formula (35) with all_33_4_38, all_783_0_42162, 0 and discharging atoms environment(all_33_4_38) = all_783_0_42162, environment(all_33_4_38) = 0, yields:
% 203.91/161.72 | (9457) all_783_0_42162 = 0
% 203.91/161.72 |
% 203.91/161.72 | Equations (9457) can reduce 9462 to:
% 203.91/161.72 | (62) $false
% 203.91/161.72 |
% 203.91/161.72 |-The branch is then unsatisfiable
% 203.91/161.72 |-Branch two:
% 203.91/161.72 | (9466) ~ (all_783_0_42162 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42162
% 203.91/161.72 |
% 203.91/161.72 | Applying alpha-rule on (9466) yields:
% 203.91/161.72 | (9462) ~ (all_783_0_42162 = 0)
% 203.91/161.72 | (9468) in_environment(all_33_4_38, all_33_1_35) = all_783_0_42162
% 203.91/161.72 |
% 203.91/161.72 +-Applying beta-rule and splitting (6084), into two cases.
% 203.91/161.72 |-Branch one:
% 203.91/161.72 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.91/161.72 |
% 203.91/161.72 +-Applying beta-rule and splitting (6145), into two cases.
% 203.91/161.72 |-Branch one:
% 203.91/161.72 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.91/161.72 |
% 203.91/161.72 | Applying alpha-rule on (6146) yields:
% 203.91/161.72 | (6147) all_562_1_40879 = 0
% 203.91/161.72 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.91/161.72 |
% 203.91/161.72 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_42162 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_42162, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.91/161.72 | (9457) all_783_0_42162 = 0
% 203.91/161.72 |
% 203.91/161.72 | Equations (9457) can reduce 9462 to:
% 203.91/161.72 | (62) $false
% 203.91/161.72 |
% 203.91/161.72 |-The branch is then unsatisfiable
% 203.91/161.72 |-Branch two:
% 203.91/161.72 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.91/161.72 |
% 203.91/161.72 | Applying alpha-rule on (6151) yields:
% 203.91/161.72 | (6152) ~ (all_562_0_40878 = 0)
% 203.91/161.72 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.91/161.73 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.91/161.73 |
% 203.91/161.73 +-Applying beta-rule and splitting (9454), into two cases.
% 203.91/161.73 |-Branch one:
% 203.91/161.73 | (9479) (all_784_0_42163 = 0 & greater_or_equal(all_784_1_42164, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42164) | (all_784_0_42163 = 0 & greater(all_33_1_35, all_784_1_42164) = 0 & end_time(all_33_4_38) = all_784_1_42164)
% 203.91/161.73 |
% 203.91/161.73 +-Applying beta-rule and splitting (9479), into two cases.
% 203.91/161.73 |-Branch one:
% 203.91/161.73 | (9480) all_784_0_42163 = 0 & greater_or_equal(all_784_1_42164, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42164
% 203.91/161.73 |
% 203.91/161.73 | Applying alpha-rule on (9480) yields:
% 203.91/161.73 | (9481) all_784_0_42163 = 0
% 203.91/161.73 | (9482) greater_or_equal(all_784_1_42164, all_33_1_35) = 0
% 203.91/161.73 | (9483) end_time(all_33_4_38) = all_784_1_42164
% 203.91/161.73 |
% 203.91/161.73 | Instantiating formula (43) with all_33_4_38, all_784_1_42164, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42164, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.73 | (9484) all_784_1_42164 = all_33_1_35
% 203.91/161.73 |
% 203.91/161.73 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42164 and discharging atoms end_time(all_33_4_38) = all_784_1_42164, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.91/161.73 | (9485) all_784_1_42164 = all_562_1_40879
% 203.91/161.73 |
% 203.91/161.73 | Combining equations (9485,9484) yields a new equation:
% 203.91/161.73 | (6162) all_562_1_40879 = all_33_1_35
% 203.91/161.73 |
% 203.91/161.73 | Simplifying 6162 yields:
% 203.91/161.73 | (6163) all_562_1_40879 = all_33_1_35
% 203.91/161.73 |
% 203.91/161.73 | From (9484) and (9482) follows:
% 203.91/161.73 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.91/161.73 |
% 203.91/161.73 | From (6163) and (6153) follows:
% 203.91/161.73 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.91/161.73 |
% 203.91/161.73 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.91/161.73 | (6166) all_562_0_40878 = 0
% 203.91/161.73 |
% 203.91/161.73 | Equations (6166) can reduce 6152 to:
% 203.91/161.73 | (62) $false
% 203.91/161.73 |
% 203.91/161.73 |-The branch is then unsatisfiable
% 203.91/161.73 |-Branch two:
% 203.91/161.73 | (9492) all_784_0_42163 = 0 & greater(all_33_1_35, all_784_1_42164) = 0 & end_time(all_33_4_38) = all_784_1_42164
% 203.91/161.73 |
% 203.91/161.73 | Applying alpha-rule on (9492) yields:
% 203.91/161.73 | (9481) all_784_0_42163 = 0
% 203.91/161.73 | (9494) greater(all_33_1_35, all_784_1_42164) = 0
% 203.91/161.73 | (9483) end_time(all_33_4_38) = all_784_1_42164
% 203.91/161.73 |
% 203.91/161.73 | Instantiating formula (43) with all_33_4_38, all_784_1_42164, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42164, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.73 | (9484) all_784_1_42164 = all_33_1_35
% 203.91/161.73 |
% 203.91/161.73 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42164 and discharging atoms end_time(all_33_4_38) = all_784_1_42164, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.91/161.73 | (9485) all_784_1_42164 = all_562_1_40879
% 203.91/161.73 |
% 203.91/161.73 | Combining equations (9485,9484) yields a new equation:
% 203.91/161.73 | (6162) all_562_1_40879 = all_33_1_35
% 203.91/161.73 |
% 203.91/161.73 | Simplifying 6162 yields:
% 203.91/161.73 | (6163) all_562_1_40879 = all_33_1_35
% 203.91/161.73 |
% 203.91/161.73 | From (6163) and (6153) follows:
% 203.91/161.73 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.91/161.73 |
% 203.91/161.73 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.91/161.73 | (6166) all_562_0_40878 = 0
% 203.91/161.73 |
% 203.91/161.73 | Equations (6166) can reduce 6152 to:
% 203.91/161.73 | (62) $false
% 203.91/161.73 |
% 203.91/161.73 |-The branch is then unsatisfiable
% 203.91/161.73 |-Branch two:
% 203.91/161.73 | (9503) ~ (all_784_1_42164 = 0) & environment(all_33_4_38) = all_784_1_42164
% 203.91/161.73 |
% 203.91/161.73 | Applying alpha-rule on (9503) yields:
% 203.91/161.73 | (9504) ~ (all_784_1_42164 = 0)
% 203.91/161.73 | (9505) environment(all_33_4_38) = all_784_1_42164
% 203.91/161.73 |
% 203.91/161.73 | Instantiating formula (35) with all_33_4_38, all_784_1_42164, 0 and discharging atoms environment(all_33_4_38) = all_784_1_42164, environment(all_33_4_38) = 0, yields:
% 203.91/161.73 | (9506) all_784_1_42164 = 0
% 203.91/161.73 |
% 203.91/161.73 | Equations (9506) can reduce 9504 to:
% 203.91/161.73 | (62) $false
% 203.91/161.73 |
% 203.91/161.73 |-The branch is then unsatisfiable
% 203.91/161.74 |-Branch two:
% 203.91/161.74 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.91/161.74 |
% 203.91/161.74 | Applying alpha-rule on (6184) yields:
% 203.91/161.74 | (6185) ~ (all_562_1_40879 = 0)
% 203.91/161.74 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.91/161.74 |
% 203.91/161.74 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.91/161.74 | (6147) all_562_1_40879 = 0
% 203.91/161.74 |
% 203.91/161.74 | Equations (6147) can reduce 6185 to:
% 203.91/161.74 | (62) $false
% 203.91/161.74 |
% 203.91/161.74 |-The branch is then unsatisfiable
% 203.91/161.74 |-Branch two:
% 203.91/161.74 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.91/161.74 |
% 203.91/161.74 | Applying alpha-rule on (6189) yields:
% 203.91/161.74 | (6122) all_450_0_40845 = 0
% 203.91/161.74 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.91/161.74 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.91/161.74 |
% 203.91/161.74 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.74 | (6125) all_450_1_40846 = all_33_1_35
% 203.91/161.74 |
% 203.91/161.74 | From (6125) and (6124) follows:
% 203.91/161.74 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.91/161.74 |
% 203.91/161.74 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.91/161.74 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.91/161.74 |
% 203.91/161.74 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.91/161.74 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.91/161.74 |
% 203.91/161.74 | Instantiating (6127) with all_789_0_42203, all_789_1_42204 yields:
% 203.91/161.74 | (9521) (all_789_0_42203 = 0 & greater_or_equal(all_789_1_42204, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42204) | (all_789_0_42203 = 0 & greater(all_33_1_35, all_789_1_42204) = 0 & end_time(all_33_4_38) = all_789_1_42204) | ( ~ (all_789_1_42204 = 0) & environment(all_33_4_38) = all_789_1_42204)
% 203.91/161.74 |
% 203.91/161.74 | Instantiating (287) with all_790_0_42205 yields:
% 203.91/161.74 | (9522) (all_790_0_42205 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42205 = 0) & environment(all_33_4_38) = all_790_0_42205) | ( ~ (all_790_0_42205 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42205)
% 203.91/161.74 |
% 203.91/161.74 +-Applying beta-rule and splitting (9522), into two cases.
% 203.91/161.74 |-Branch one:
% 203.91/161.74 | (9523) (all_790_0_42205 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42205 = 0) & environment(all_33_4_38) = all_790_0_42205)
% 203.91/161.74 |
% 203.91/161.74 +-Applying beta-rule and splitting (9523), into two cases.
% 203.91/161.74 |-Branch one:
% 203.91/161.74 | (9524) all_790_0_42205 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.91/161.74 |
% 203.91/161.74 | Applying alpha-rule on (9524) yields:
% 203.91/161.74 | (9525) all_790_0_42205 = 0
% 203.91/161.74 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.91/161.74 |
% 203.91/161.74 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.91/161.74 | (109) all_33_0_34 = 0
% 203.91/161.74 |
% 203.91/161.74 | Equations (109) can reduce 72 to:
% 203.91/161.74 | (62) $false
% 203.91/161.74 |
% 203.91/161.74 |-The branch is then unsatisfiable
% 203.91/161.74 |-Branch two:
% 203.91/161.74 | (9529) ~ (all_790_0_42205 = 0) & environment(all_33_4_38) = all_790_0_42205
% 203.91/161.74 |
% 203.91/161.74 | Applying alpha-rule on (9529) yields:
% 203.91/161.74 | (9530) ~ (all_790_0_42205 = 0)
% 203.91/161.74 | (9531) environment(all_33_4_38) = all_790_0_42205
% 203.91/161.74 |
% 203.91/161.74 | Instantiating formula (35) with all_33_4_38, all_790_0_42205, 0 and discharging atoms environment(all_33_4_38) = all_790_0_42205, environment(all_33_4_38) = 0, yields:
% 203.91/161.74 | (9525) all_790_0_42205 = 0
% 203.91/161.74 |
% 203.91/161.74 | Equations (9525) can reduce 9530 to:
% 203.91/161.74 | (62) $false
% 203.91/161.74 |
% 203.91/161.74 |-The branch is then unsatisfiable
% 203.91/161.74 |-Branch two:
% 203.91/161.74 | (9534) ~ (all_790_0_42205 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42205
% 203.91/161.74 |
% 203.91/161.74 | Applying alpha-rule on (9534) yields:
% 203.91/161.74 | (9530) ~ (all_790_0_42205 = 0)
% 203.91/161.74 | (9536) in_environment(all_33_4_38, all_33_1_35) = all_790_0_42205
% 203.91/161.74 |
% 203.91/161.74 +-Applying beta-rule and splitting (6084), into two cases.
% 203.91/161.74 |-Branch one:
% 203.91/161.74 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.91/161.74 |
% 203.91/161.74 +-Applying beta-rule and splitting (6145), into two cases.
% 203.91/161.74 |-Branch one:
% 203.91/161.74 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.91/161.74 |
% 203.91/161.74 | Applying alpha-rule on (6146) yields:
% 203.91/161.74 | (6147) all_562_1_40879 = 0
% 203.91/161.74 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.91/161.74 |
% 203.91/161.74 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_42205 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_42205, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.91/161.74 | (9525) all_790_0_42205 = 0
% 203.91/161.74 |
% 203.91/161.74 | Equations (9525) can reduce 9530 to:
% 203.91/161.74 | (62) $false
% 203.91/161.74 |
% 203.91/161.74 |-The branch is then unsatisfiable
% 203.91/161.74 |-Branch two:
% 203.91/161.74 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.91/161.74 |
% 203.91/161.74 | Applying alpha-rule on (6151) yields:
% 203.91/161.74 | (6152) ~ (all_562_0_40878 = 0)
% 203.91/161.74 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.91/161.74 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.91/161.74 |
% 203.91/161.75 +-Applying beta-rule and splitting (9521), into two cases.
% 203.91/161.75 |-Branch one:
% 203.91/161.75 | (9547) (all_789_0_42203 = 0 & greater_or_equal(all_789_1_42204, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42204) | (all_789_0_42203 = 0 & greater(all_33_1_35, all_789_1_42204) = 0 & end_time(all_33_4_38) = all_789_1_42204)
% 203.91/161.75 |
% 203.91/161.75 +-Applying beta-rule and splitting (9547), into two cases.
% 203.91/161.75 |-Branch one:
% 203.91/161.75 | (9548) all_789_0_42203 = 0 & greater_or_equal(all_789_1_42204, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42204
% 203.91/161.75 |
% 203.91/161.75 | Applying alpha-rule on (9548) yields:
% 203.91/161.75 | (9549) all_789_0_42203 = 0
% 203.91/161.75 | (9550) greater_or_equal(all_789_1_42204, all_33_1_35) = 0
% 203.91/161.75 | (9551) end_time(all_33_4_38) = all_789_1_42204
% 203.91/161.75 |
% 203.91/161.75 | Instantiating formula (43) with all_33_4_38, all_789_1_42204, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42204, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.75 | (9552) all_789_1_42204 = all_33_1_35
% 203.91/161.75 |
% 203.91/161.75 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42204 and discharging atoms end_time(all_33_4_38) = all_789_1_42204, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.91/161.75 | (9553) all_789_1_42204 = all_562_1_40879
% 203.91/161.75 |
% 203.91/161.75 | Combining equations (9553,9552) yields a new equation:
% 203.91/161.75 | (6162) all_562_1_40879 = all_33_1_35
% 203.91/161.75 |
% 203.91/161.75 | Simplifying 6162 yields:
% 203.91/161.75 | (6163) all_562_1_40879 = all_33_1_35
% 203.91/161.75 |
% 203.91/161.75 | From (9552) and (9550) follows:
% 203.91/161.75 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.91/161.75 |
% 203.91/161.75 | From (6163) and (6153) follows:
% 203.91/161.75 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.91/161.75 |
% 203.91/161.75 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.91/161.75 | (6166) all_562_0_40878 = 0
% 203.91/161.75 |
% 203.91/161.75 | Equations (6166) can reduce 6152 to:
% 203.91/161.75 | (62) $false
% 203.91/161.75 |
% 203.91/161.75 |-The branch is then unsatisfiable
% 203.91/161.75 |-Branch two:
% 203.91/161.75 | (9560) all_789_0_42203 = 0 & greater(all_33_1_35, all_789_1_42204) = 0 & end_time(all_33_4_38) = all_789_1_42204
% 203.91/161.75 |
% 203.91/161.75 | Applying alpha-rule on (9560) yields:
% 203.91/161.75 | (9549) all_789_0_42203 = 0
% 203.91/161.75 | (9562) greater(all_33_1_35, all_789_1_42204) = 0
% 203.91/161.75 | (9551) end_time(all_33_4_38) = all_789_1_42204
% 203.91/161.75 |
% 203.91/161.75 | Instantiating formula (43) with all_33_4_38, all_789_1_42204, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42204, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.75 | (9552) all_789_1_42204 = all_33_1_35
% 203.91/161.75 |
% 203.91/161.75 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42204 and discharging atoms end_time(all_33_4_38) = all_789_1_42204, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.91/161.75 | (9553) all_789_1_42204 = all_562_1_40879
% 203.91/161.75 |
% 203.91/161.75 | Combining equations (9553,9552) yields a new equation:
% 203.91/161.75 | (6162) all_562_1_40879 = all_33_1_35
% 203.91/161.75 |
% 203.91/161.75 | Simplifying 6162 yields:
% 203.91/161.75 | (6163) all_562_1_40879 = all_33_1_35
% 203.91/161.75 |
% 203.91/161.75 | From (6163) and (6153) follows:
% 203.91/161.75 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.91/161.75 |
% 203.91/161.75 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.91/161.75 | (6166) all_562_0_40878 = 0
% 203.91/161.75 |
% 203.91/161.75 | Equations (6166) can reduce 6152 to:
% 203.91/161.75 | (62) $false
% 203.91/161.75 |
% 203.91/161.75 |-The branch is then unsatisfiable
% 203.91/161.75 |-Branch two:
% 203.91/161.75 | (9571) ~ (all_789_1_42204 = 0) & environment(all_33_4_38) = all_789_1_42204
% 203.91/161.75 |
% 203.91/161.75 | Applying alpha-rule on (9571) yields:
% 203.91/161.75 | (9572) ~ (all_789_1_42204 = 0)
% 203.91/161.75 | (9573) environment(all_33_4_38) = all_789_1_42204
% 203.91/161.75 |
% 203.91/161.75 | Instantiating formula (35) with all_33_4_38, all_789_1_42204, 0 and discharging atoms environment(all_33_4_38) = all_789_1_42204, environment(all_33_4_38) = 0, yields:
% 203.91/161.75 | (9574) all_789_1_42204 = 0
% 203.91/161.75 |
% 203.91/161.75 | Equations (9574) can reduce 9572 to:
% 203.91/161.75 | (62) $false
% 203.91/161.75 |
% 203.91/161.75 |-The branch is then unsatisfiable
% 203.91/161.75 |-Branch two:
% 203.91/161.75 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.91/161.75 |
% 203.91/161.75 | Applying alpha-rule on (6184) yields:
% 203.91/161.75 | (6185) ~ (all_562_1_40879 = 0)
% 203.91/161.76 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.91/161.76 |
% 203.91/161.76 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.91/161.76 | (6147) all_562_1_40879 = 0
% 203.91/161.76 |
% 203.91/161.76 | Equations (6147) can reduce 6185 to:
% 203.91/161.76 | (62) $false
% 203.91/161.76 |
% 203.91/161.76 |-The branch is then unsatisfiable
% 203.91/161.76 |-Branch two:
% 203.91/161.76 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 203.91/161.76 |
% 203.91/161.76 | Applying alpha-rule on (6257) yields:
% 203.91/161.76 | (6258) ~ (all_450_1_40846 = 0)
% 203.91/161.76 | (6259) environment(all_33_4_38) = all_450_1_40846
% 203.91/161.76 |
% 203.91/161.76 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 203.91/161.76 | (6260) all_450_1_40846 = 0
% 203.91/161.76 |
% 203.91/161.76 | Equations (6260) can reduce 6258 to:
% 203.91/161.76 | (62) $false
% 203.91/161.76 |
% 203.91/161.76 |-The branch is then unsatisfiable
% 203.91/161.76 |-Branch two:
% 203.91/161.76 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 203.91/161.76 |
% 203.91/161.76 | Applying alpha-rule on (6410) yields:
% 203.91/161.76 | (6411) ~ (all_449_1_40844 = 0)
% 203.91/161.76 | (6412) environment(all_33_4_38) = all_449_1_40844
% 203.91/161.76 |
% 203.91/161.76 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 203.91/161.76 | (6413) all_449_1_40844 = 0
% 203.91/161.76 |
% 203.91/161.76 | Equations (6413) can reduce 6411 to:
% 203.91/161.76 | (62) $false
% 203.91/161.76 |
% 203.91/161.76 |-The branch is then unsatisfiable
% 203.91/161.76 |-Branch two:
% 203.91/161.76 | (6415) all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 203.91/161.76 |
% 203.91/161.76 | Applying alpha-rule on (6415) yields:
% 203.91/161.76 | (6108) all_448_0_40841 = 0
% 203.91/161.76 | (6417) greater(all_114_2_98, all_448_1_40842) = 0
% 203.91/161.76 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 203.91/161.76 |
% 203.91/161.76 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.76 | (6111) all_448_1_40842 = all_33_1_35
% 203.91/161.76 |
% 203.91/161.76 | From (6111) and (6110) follows:
% 203.91/161.76 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.91/161.76 |
% 203.91/161.76 +-Applying beta-rule and splitting (6072), into two cases.
% 203.91/161.76 |-Branch one:
% 203.91/161.76 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 203.91/161.76 |
% 203.91/161.76 +-Applying beta-rule and splitting (6113), into two cases.
% 203.91/161.76 |-Branch one:
% 203.91/161.76 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 203.91/161.76 |
% 203.91/161.76 | Applying alpha-rule on (6114) yields:
% 203.91/161.76 | (6115) all_449_0_40843 = 0
% 203.91/161.76 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 203.91/161.76 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 203.91/161.76 |
% 203.91/161.76 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.76 | (6118) all_449_1_40844 = all_33_1_35
% 203.91/161.76 |
% 203.91/161.76 | From (6118) and (6117) follows:
% 203.91/161.76 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.91/161.76 |
% 203.91/161.76 +-Applying beta-rule and splitting (6073), into two cases.
% 203.91/161.76 |-Branch one:
% 203.91/161.76 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 203.91/161.76 |
% 203.91/161.76 +-Applying beta-rule and splitting (6120), into two cases.
% 203.91/161.76 |-Branch one:
% 203.91/161.76 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.91/161.76 |
% 203.91/161.76 | Applying alpha-rule on (6121) yields:
% 203.91/161.76 | (6122) all_450_0_40845 = 0
% 203.91/161.76 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 203.91/161.76 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.91/161.76 |
% 203.91/161.76 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.76 | (6125) all_450_1_40846 = all_33_1_35
% 203.91/161.76 |
% 203.91/161.76 | From (6125) and (6124) follows:
% 203.91/161.76 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.91/161.76 |
% 203.91/161.76 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.91/161.76 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.91/161.76 |
% 203.91/161.76 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.91/161.76 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.91/161.76 |
% 203.91/161.76 | Instantiating (287) with all_783_0_42222 yields:
% 203.91/161.76 | (9613) (all_783_0_42222 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42222 = 0) & environment(all_33_4_38) = all_783_0_42222) | ( ~ (all_783_0_42222 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42222)
% 203.91/161.76 |
% 203.91/161.76 | Instantiating (6127) with all_784_0_42223, all_784_1_42224 yields:
% 203.91/161.76 | (9614) (all_784_0_42223 = 0 & greater_or_equal(all_784_1_42224, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42224) | (all_784_0_42223 = 0 & greater(all_33_1_35, all_784_1_42224) = 0 & end_time(all_33_4_38) = all_784_1_42224) | ( ~ (all_784_1_42224 = 0) & environment(all_33_4_38) = all_784_1_42224)
% 203.91/161.76 |
% 203.91/161.76 +-Applying beta-rule and splitting (9613), into two cases.
% 203.91/161.76 |-Branch one:
% 203.91/161.76 | (9615) (all_783_0_42222 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42222 = 0) & environment(all_33_4_38) = all_783_0_42222)
% 203.91/161.76 |
% 203.91/161.76 +-Applying beta-rule and splitting (9615), into two cases.
% 203.91/161.76 |-Branch one:
% 203.91/161.76 | (9616) all_783_0_42222 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.91/161.76 |
% 203.91/161.76 | Applying alpha-rule on (9616) yields:
% 203.91/161.77 | (9617) all_783_0_42222 = 0
% 203.91/161.77 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.91/161.77 |
% 203.91/161.77 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.91/161.77 | (109) all_33_0_34 = 0
% 203.91/161.77 |
% 203.91/161.77 | Equations (109) can reduce 72 to:
% 203.91/161.77 | (62) $false
% 203.91/161.77 |
% 203.91/161.77 |-The branch is then unsatisfiable
% 203.91/161.77 |-Branch two:
% 203.91/161.77 | (9621) ~ (all_783_0_42222 = 0) & environment(all_33_4_38) = all_783_0_42222
% 203.91/161.77 |
% 203.91/161.77 | Applying alpha-rule on (9621) yields:
% 203.91/161.77 | (9622) ~ (all_783_0_42222 = 0)
% 203.91/161.77 | (9623) environment(all_33_4_38) = all_783_0_42222
% 203.91/161.77 |
% 203.91/161.77 | Instantiating formula (35) with all_33_4_38, all_783_0_42222, 0 and discharging atoms environment(all_33_4_38) = all_783_0_42222, environment(all_33_4_38) = 0, yields:
% 203.91/161.77 | (9617) all_783_0_42222 = 0
% 203.91/161.77 |
% 203.91/161.77 | Equations (9617) can reduce 9622 to:
% 203.91/161.77 | (62) $false
% 203.91/161.77 |
% 203.91/161.77 |-The branch is then unsatisfiable
% 203.91/161.77 |-Branch two:
% 203.91/161.77 | (9626) ~ (all_783_0_42222 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42222
% 203.91/161.77 |
% 203.91/161.77 | Applying alpha-rule on (9626) yields:
% 203.91/161.77 | (9622) ~ (all_783_0_42222 = 0)
% 203.91/161.77 | (9628) in_environment(all_33_4_38, all_33_1_35) = all_783_0_42222
% 203.91/161.77 |
% 203.91/161.77 +-Applying beta-rule and splitting (6084), into two cases.
% 203.91/161.77 |-Branch one:
% 203.91/161.77 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.91/161.77 |
% 203.91/161.77 +-Applying beta-rule and splitting (6145), into two cases.
% 203.91/161.77 |-Branch one:
% 203.91/161.77 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.91/161.77 |
% 203.91/161.77 | Applying alpha-rule on (6146) yields:
% 203.91/161.77 | (6147) all_562_1_40879 = 0
% 203.91/161.77 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.91/161.77 |
% 203.91/161.77 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_42222 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_42222, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.91/161.77 | (9617) all_783_0_42222 = 0
% 203.91/161.77 |
% 203.91/161.77 | Equations (9617) can reduce 9622 to:
% 203.91/161.77 | (62) $false
% 203.91/161.77 |
% 203.91/161.77 |-The branch is then unsatisfiable
% 203.91/161.77 |-Branch two:
% 203.91/161.77 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.91/161.77 |
% 203.91/161.77 | Applying alpha-rule on (6151) yields:
% 203.91/161.77 | (6152) ~ (all_562_0_40878 = 0)
% 203.91/161.77 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.91/161.77 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.91/161.77 |
% 203.91/161.77 +-Applying beta-rule and splitting (9614), into two cases.
% 203.91/161.77 |-Branch one:
% 203.91/161.77 | (9639) (all_784_0_42223 = 0 & greater_or_equal(all_784_1_42224, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42224) | (all_784_0_42223 = 0 & greater(all_33_1_35, all_784_1_42224) = 0 & end_time(all_33_4_38) = all_784_1_42224)
% 203.91/161.77 |
% 203.91/161.77 +-Applying beta-rule and splitting (9639), into two cases.
% 203.91/161.77 |-Branch one:
% 203.91/161.77 | (9640) all_784_0_42223 = 0 & greater_or_equal(all_784_1_42224, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42224
% 203.91/161.77 |
% 203.91/161.77 | Applying alpha-rule on (9640) yields:
% 203.91/161.77 | (9641) all_784_0_42223 = 0
% 203.91/161.77 | (9642) greater_or_equal(all_784_1_42224, all_33_1_35) = 0
% 203.91/161.77 | (9643) end_time(all_33_4_38) = all_784_1_42224
% 203.91/161.77 |
% 203.91/161.77 | Instantiating formula (43) with all_33_4_38, all_784_1_42224, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42224, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.77 | (9644) all_784_1_42224 = all_33_1_35
% 203.91/161.77 |
% 203.91/161.77 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42224 and discharging atoms end_time(all_33_4_38) = all_784_1_42224, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.91/161.77 | (9645) all_784_1_42224 = all_562_1_40879
% 203.91/161.77 |
% 203.91/161.77 | Combining equations (9645,9644) yields a new equation:
% 203.91/161.77 | (6162) all_562_1_40879 = all_33_1_35
% 203.91/161.77 |
% 203.91/161.77 | Simplifying 6162 yields:
% 203.91/161.77 | (6163) all_562_1_40879 = all_33_1_35
% 203.91/161.77 |
% 203.91/161.77 | From (9644) and (9642) follows:
% 203.91/161.77 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.91/161.77 |
% 203.91/161.77 | From (6163) and (6153) follows:
% 203.91/161.77 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.91/161.77 |
% 203.91/161.77 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.91/161.77 | (6166) all_562_0_40878 = 0
% 203.91/161.77 |
% 203.91/161.77 | Equations (6166) can reduce 6152 to:
% 203.91/161.77 | (62) $false
% 203.91/161.77 |
% 203.91/161.77 |-The branch is then unsatisfiable
% 203.91/161.77 |-Branch two:
% 203.91/161.77 | (9652) all_784_0_42223 = 0 & greater(all_33_1_35, all_784_1_42224) = 0 & end_time(all_33_4_38) = all_784_1_42224
% 203.91/161.77 |
% 203.91/161.78 | Applying alpha-rule on (9652) yields:
% 203.91/161.78 | (9641) all_784_0_42223 = 0
% 203.91/161.78 | (9654) greater(all_33_1_35, all_784_1_42224) = 0
% 203.91/161.78 | (9643) end_time(all_33_4_38) = all_784_1_42224
% 203.91/161.78 |
% 203.91/161.78 | Instantiating formula (43) with all_33_4_38, all_784_1_42224, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42224, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.78 | (9644) all_784_1_42224 = all_33_1_35
% 203.91/161.78 |
% 203.91/161.78 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42224 and discharging atoms end_time(all_33_4_38) = all_784_1_42224, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.91/161.78 | (9645) all_784_1_42224 = all_562_1_40879
% 203.91/161.78 |
% 203.91/161.78 | Combining equations (9645,9644) yields a new equation:
% 203.91/161.78 | (6162) all_562_1_40879 = all_33_1_35
% 203.91/161.78 |
% 203.91/161.78 | Simplifying 6162 yields:
% 203.91/161.78 | (6163) all_562_1_40879 = all_33_1_35
% 203.91/161.78 |
% 203.91/161.78 | From (6163) and (6153) follows:
% 203.91/161.78 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.91/161.78 |
% 203.91/161.78 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.91/161.78 | (6166) all_562_0_40878 = 0
% 203.91/161.78 |
% 203.91/161.78 | Equations (6166) can reduce 6152 to:
% 203.91/161.78 | (62) $false
% 203.91/161.78 |
% 203.91/161.78 |-The branch is then unsatisfiable
% 203.91/161.78 |-Branch two:
% 203.91/161.78 | (9663) ~ (all_784_1_42224 = 0) & environment(all_33_4_38) = all_784_1_42224
% 203.91/161.78 |
% 203.91/161.78 | Applying alpha-rule on (9663) yields:
% 203.91/161.78 | (9664) ~ (all_784_1_42224 = 0)
% 203.91/161.78 | (9665) environment(all_33_4_38) = all_784_1_42224
% 203.91/161.78 |
% 203.91/161.78 | Instantiating formula (35) with all_33_4_38, all_784_1_42224, 0 and discharging atoms environment(all_33_4_38) = all_784_1_42224, environment(all_33_4_38) = 0, yields:
% 203.91/161.78 | (9666) all_784_1_42224 = 0
% 203.91/161.78 |
% 203.91/161.78 | Equations (9666) can reduce 9664 to:
% 203.91/161.78 | (62) $false
% 203.91/161.78 |
% 203.91/161.78 |-The branch is then unsatisfiable
% 203.91/161.78 |-Branch two:
% 203.91/161.78 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.91/161.78 |
% 203.91/161.78 | Applying alpha-rule on (6184) yields:
% 203.91/161.78 | (6185) ~ (all_562_1_40879 = 0)
% 203.91/161.78 | (6186) environment(all_33_4_38) = all_562_1_40879
% 203.91/161.78 |
% 203.91/161.78 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 203.91/161.78 | (6147) all_562_1_40879 = 0
% 203.91/161.78 |
% 203.91/161.78 | Equations (6147) can reduce 6185 to:
% 203.91/161.78 | (62) $false
% 203.91/161.78 |
% 203.91/161.78 |-The branch is then unsatisfiable
% 203.91/161.78 |-Branch two:
% 203.91/161.78 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 203.91/161.78 |
% 203.91/161.78 | Applying alpha-rule on (6189) yields:
% 203.91/161.78 | (6122) all_450_0_40845 = 0
% 203.91/161.78 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 203.91/161.78 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 203.91/161.78 |
% 203.91/161.78 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.78 | (6125) all_450_1_40846 = all_33_1_35
% 203.91/161.78 |
% 203.91/161.78 | From (6125) and (6124) follows:
% 203.91/161.78 | (67) end_time(all_33_4_38) = all_33_1_35
% 203.91/161.78 |
% 203.91/161.78 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.91/161.78 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 203.91/161.78 |
% 203.91/161.78 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 203.91/161.78 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 203.91/161.78 |
% 203.91/161.78 | Instantiating (6127) with all_789_0_42263, all_789_1_42264 yields:
% 203.91/161.78 | (9681) (all_789_0_42263 = 0 & greater_or_equal(all_789_1_42264, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42264) | (all_789_0_42263 = 0 & greater(all_33_1_35, all_789_1_42264) = 0 & end_time(all_33_4_38) = all_789_1_42264) | ( ~ (all_789_1_42264 = 0) & environment(all_33_4_38) = all_789_1_42264)
% 203.91/161.78 |
% 203.91/161.78 | Instantiating (287) with all_790_0_42265 yields:
% 203.91/161.78 | (9682) (all_790_0_42265 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42265 = 0) & environment(all_33_4_38) = all_790_0_42265) | ( ~ (all_790_0_42265 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42265)
% 203.91/161.78 |
% 203.91/161.78 +-Applying beta-rule and splitting (9682), into two cases.
% 203.91/161.78 |-Branch one:
% 203.91/161.78 | (9683) (all_790_0_42265 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42265 = 0) & environment(all_33_4_38) = all_790_0_42265)
% 203.91/161.78 |
% 203.91/161.78 +-Applying beta-rule and splitting (9683), into two cases.
% 203.91/161.78 |-Branch one:
% 203.91/161.78 | (9684) all_790_0_42265 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.91/161.78 |
% 203.91/161.78 | Applying alpha-rule on (9684) yields:
% 203.91/161.79 | (9685) all_790_0_42265 = 0
% 203.91/161.79 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 203.91/161.79 |
% 203.91/161.79 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 203.91/161.79 | (109) all_33_0_34 = 0
% 203.91/161.79 |
% 203.91/161.79 | Equations (109) can reduce 72 to:
% 203.91/161.79 | (62) $false
% 203.91/161.79 |
% 203.91/161.79 |-The branch is then unsatisfiable
% 203.91/161.79 |-Branch two:
% 203.91/161.79 | (9689) ~ (all_790_0_42265 = 0) & environment(all_33_4_38) = all_790_0_42265
% 203.91/161.79 |
% 203.91/161.79 | Applying alpha-rule on (9689) yields:
% 203.91/161.79 | (9690) ~ (all_790_0_42265 = 0)
% 203.91/161.79 | (9691) environment(all_33_4_38) = all_790_0_42265
% 203.91/161.79 |
% 203.91/161.79 | Instantiating formula (35) with all_33_4_38, all_790_0_42265, 0 and discharging atoms environment(all_33_4_38) = all_790_0_42265, environment(all_33_4_38) = 0, yields:
% 203.91/161.79 | (9685) all_790_0_42265 = 0
% 203.91/161.79 |
% 203.91/161.79 | Equations (9685) can reduce 9690 to:
% 203.91/161.79 | (62) $false
% 203.91/161.79 |
% 203.91/161.79 |-The branch is then unsatisfiable
% 203.91/161.79 |-Branch two:
% 203.91/161.79 | (9694) ~ (all_790_0_42265 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42265
% 203.91/161.79 |
% 203.91/161.79 | Applying alpha-rule on (9694) yields:
% 203.91/161.79 | (9690) ~ (all_790_0_42265 = 0)
% 203.91/161.79 | (9696) in_environment(all_33_4_38, all_33_1_35) = all_790_0_42265
% 203.91/161.79 |
% 203.91/161.79 +-Applying beta-rule and splitting (6084), into two cases.
% 203.91/161.79 |-Branch one:
% 203.91/161.79 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 203.91/161.79 |
% 203.91/161.79 +-Applying beta-rule and splitting (6145), into two cases.
% 203.91/161.79 |-Branch one:
% 203.91/161.79 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 203.91/161.79 |
% 203.91/161.79 | Applying alpha-rule on (6146) yields:
% 203.91/161.79 | (6147) all_562_1_40879 = 0
% 203.91/161.79 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 203.91/161.79 |
% 203.91/161.79 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_42265 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_42265, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 203.91/161.79 | (9685) all_790_0_42265 = 0
% 203.91/161.79 |
% 203.91/161.79 | Equations (9685) can reduce 9690 to:
% 203.91/161.79 | (62) $false
% 203.91/161.79 |
% 203.91/161.79 |-The branch is then unsatisfiable
% 203.91/161.79 |-Branch two:
% 203.91/161.79 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 203.91/161.79 |
% 203.91/161.79 | Applying alpha-rule on (6151) yields:
% 203.91/161.79 | (6152) ~ (all_562_0_40878 = 0)
% 203.91/161.79 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 203.91/161.79 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 203.91/161.79 |
% 203.91/161.79 +-Applying beta-rule and splitting (9681), into two cases.
% 203.91/161.79 |-Branch one:
% 203.91/161.79 | (9707) (all_789_0_42263 = 0 & greater_or_equal(all_789_1_42264, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42264) | (all_789_0_42263 = 0 & greater(all_33_1_35, all_789_1_42264) = 0 & end_time(all_33_4_38) = all_789_1_42264)
% 203.91/161.79 |
% 203.91/161.79 +-Applying beta-rule and splitting (9707), into two cases.
% 203.91/161.79 |-Branch one:
% 203.91/161.79 | (9708) all_789_0_42263 = 0 & greater_or_equal(all_789_1_42264, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42264
% 203.91/161.79 |
% 203.91/161.79 | Applying alpha-rule on (9708) yields:
% 203.91/161.79 | (9709) all_789_0_42263 = 0
% 203.91/161.79 | (9710) greater_or_equal(all_789_1_42264, all_33_1_35) = 0
% 203.91/161.79 | (9711) end_time(all_33_4_38) = all_789_1_42264
% 203.91/161.79 |
% 203.91/161.79 | Instantiating formula (43) with all_33_4_38, all_789_1_42264, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42264, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.79 | (9712) all_789_1_42264 = all_33_1_35
% 203.91/161.79 |
% 203.91/161.79 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42264 and discharging atoms end_time(all_33_4_38) = all_789_1_42264, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.91/161.79 | (9713) all_789_1_42264 = all_562_1_40879
% 203.91/161.79 |
% 203.91/161.79 | Combining equations (9713,9712) yields a new equation:
% 203.91/161.79 | (6162) all_562_1_40879 = all_33_1_35
% 203.91/161.79 |
% 203.91/161.79 | Simplifying 6162 yields:
% 203.91/161.79 | (6163) all_562_1_40879 = all_33_1_35
% 203.91/161.79 |
% 203.91/161.79 | From (9712) and (9710) follows:
% 203.91/161.79 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 203.91/161.79 |
% 203.91/161.79 | From (6163) and (6153) follows:
% 203.91/161.79 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.91/161.79 |
% 203.91/161.79 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 203.91/161.79 | (6166) all_562_0_40878 = 0
% 203.91/161.79 |
% 203.91/161.79 | Equations (6166) can reduce 6152 to:
% 203.91/161.79 | (62) $false
% 203.91/161.79 |
% 203.91/161.79 |-The branch is then unsatisfiable
% 203.91/161.79 |-Branch two:
% 203.91/161.79 | (9720) all_789_0_42263 = 0 & greater(all_33_1_35, all_789_1_42264) = 0 & end_time(all_33_4_38) = all_789_1_42264
% 203.91/161.79 |
% 203.91/161.79 | Applying alpha-rule on (9720) yields:
% 203.91/161.80 | (9709) all_789_0_42263 = 0
% 203.91/161.80 | (9722) greater(all_33_1_35, all_789_1_42264) = 0
% 203.91/161.80 | (9711) end_time(all_33_4_38) = all_789_1_42264
% 203.91/161.80 |
% 203.91/161.80 | Instantiating formula (43) with all_33_4_38, all_789_1_42264, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42264, end_time(all_33_4_38) = all_33_1_35, yields:
% 203.91/161.80 | (9712) all_789_1_42264 = all_33_1_35
% 203.91/161.80 |
% 203.91/161.80 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42264 and discharging atoms end_time(all_33_4_38) = all_789_1_42264, end_time(all_33_4_38) = all_562_1_40879, yields:
% 203.91/161.80 | (9713) all_789_1_42264 = all_562_1_40879
% 203.91/161.80 |
% 203.91/161.80 | Combining equations (9713,9712) yields a new equation:
% 203.91/161.80 | (6162) all_562_1_40879 = all_33_1_35
% 203.91/161.80 |
% 203.91/161.80 | Simplifying 6162 yields:
% 203.91/161.80 | (6163) all_562_1_40879 = all_33_1_35
% 203.91/161.80 |
% 203.91/161.80 | From (6163) and (6153) follows:
% 203.91/161.80 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 203.91/161.80 |
% 203.91/161.80 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 203.91/161.80 | (6166) all_562_0_40878 = 0
% 203.91/161.80 |
% 203.91/161.80 | Equations (6166) can reduce 6152 to:
% 203.91/161.80 | (62) $false
% 203.91/161.80 |
% 203.91/161.80 |-The branch is then unsatisfiable
% 203.91/161.80 |-Branch two:
% 203.91/161.80 | (9731) ~ (all_789_1_42264 = 0) & environment(all_33_4_38) = all_789_1_42264
% 203.91/161.80 |
% 203.91/161.80 | Applying alpha-rule on (9731) yields:
% 203.91/161.80 | (9732) ~ (all_789_1_42264 = 0)
% 203.91/161.80 | (9733) environment(all_33_4_38) = all_789_1_42264
% 203.91/161.80 |
% 203.91/161.80 | Instantiating formula (35) with all_33_4_38, all_789_1_42264, 0 and discharging atoms environment(all_33_4_38) = all_789_1_42264, environment(all_33_4_38) = 0, yields:
% 203.91/161.80 | (9734) all_789_1_42264 = 0
% 203.91/161.80 |
% 203.91/161.80 | Equations (9734) can reduce 9732 to:
% 203.91/161.80 | (62) $false
% 203.91/161.80 |
% 203.91/161.80 |-The branch is then unsatisfiable
% 203.91/161.80 |-Branch two:
% 203.91/161.80 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 203.91/161.80 |
% 203.91/161.80 | Applying alpha-rule on (6184) yields:
% 204.00/161.80 | (6185) ~ (all_562_1_40879 = 0)
% 204.00/161.80 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.00/161.80 |
% 204.00/161.80 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.00/161.80 | (6147) all_562_1_40879 = 0
% 204.00/161.80 |
% 204.00/161.80 | Equations (6147) can reduce 6185 to:
% 204.00/161.80 | (62) $false
% 204.00/161.80 |
% 204.00/161.80 |-The branch is then unsatisfiable
% 204.00/161.80 |-Branch two:
% 204.00/161.80 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 204.00/161.80 |
% 204.00/161.80 | Applying alpha-rule on (6257) yields:
% 204.00/161.80 | (6258) ~ (all_450_1_40846 = 0)
% 204.00/161.80 | (6259) environment(all_33_4_38) = all_450_1_40846
% 204.00/161.80 |
% 204.00/161.80 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 204.00/161.80 | (6260) all_450_1_40846 = 0
% 204.00/161.80 |
% 204.00/161.80 | Equations (6260) can reduce 6258 to:
% 204.00/161.80 | (62) $false
% 204.00/161.80 |
% 204.00/161.80 |-The branch is then unsatisfiable
% 204.00/161.80 |-Branch two:
% 204.00/161.80 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 204.00/161.80 |
% 204.00/161.80 | Applying alpha-rule on (6262) yields:
% 204.00/161.80 | (6115) all_449_0_40843 = 0
% 204.00/161.80 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 204.00/161.80 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 204.00/161.80 |
% 204.00/161.80 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.80 | (6118) all_449_1_40844 = all_33_1_35
% 204.00/161.80 |
% 204.00/161.80 | From (6118) and (6117) follows:
% 204.00/161.80 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.00/161.80 |
% 204.00/161.80 +-Applying beta-rule and splitting (6073), into two cases.
% 204.00/161.80 |-Branch one:
% 204.00/161.80 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 204.00/161.80 |
% 204.00/161.80 +-Applying beta-rule and splitting (6120), into two cases.
% 204.00/161.80 |-Branch one:
% 204.00/161.80 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.00/161.80 |
% 204.00/161.80 | Applying alpha-rule on (6121) yields:
% 204.00/161.80 | (6122) all_450_0_40845 = 0
% 204.00/161.80 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 204.00/161.80 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.00/161.80 |
% 204.00/161.80 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.81 | (6125) all_450_1_40846 = all_33_1_35
% 204.00/161.81 |
% 204.00/161.81 | From (6125) and (6124) follows:
% 204.00/161.81 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.00/161.81 |
% 204.00/161.81 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.00/161.81 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.00/161.81 |
% 204.00/161.81 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.00/161.81 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.00/161.81 |
% 204.00/161.81 | Instantiating (6127) with all_789_0_42293, all_789_1_42294 yields:
% 204.00/161.81 | (9761) (all_789_0_42293 = 0 & greater_or_equal(all_789_1_42294, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42294) | (all_789_0_42293 = 0 & greater(all_33_1_35, all_789_1_42294) = 0 & end_time(all_33_4_38) = all_789_1_42294) | ( ~ (all_789_1_42294 = 0) & environment(all_33_4_38) = all_789_1_42294)
% 204.00/161.81 |
% 204.00/161.81 | Instantiating (287) with all_790_0_42295 yields:
% 204.00/161.81 | (9762) (all_790_0_42295 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42295 = 0) & environment(all_33_4_38) = all_790_0_42295) | ( ~ (all_790_0_42295 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42295)
% 204.00/161.81 |
% 204.00/161.81 +-Applying beta-rule and splitting (9762), into two cases.
% 204.00/161.81 |-Branch one:
% 204.00/161.81 | (9763) (all_790_0_42295 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42295 = 0) & environment(all_33_4_38) = all_790_0_42295)
% 204.00/161.81 |
% 204.00/161.81 +-Applying beta-rule and splitting (9763), into two cases.
% 204.00/161.81 |-Branch one:
% 204.00/161.81 | (9764) all_790_0_42295 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.00/161.81 |
% 204.00/161.81 | Applying alpha-rule on (9764) yields:
% 204.00/161.81 | (9765) all_790_0_42295 = 0
% 204.00/161.81 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.00/161.81 |
% 204.00/161.81 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.00/161.81 | (109) all_33_0_34 = 0
% 204.00/161.81 |
% 204.00/161.81 | Equations (109) can reduce 72 to:
% 204.00/161.81 | (62) $false
% 204.00/161.81 |
% 204.00/161.81 |-The branch is then unsatisfiable
% 204.00/161.81 |-Branch two:
% 204.00/161.81 | (9769) ~ (all_790_0_42295 = 0) & environment(all_33_4_38) = all_790_0_42295
% 204.00/161.81 |
% 204.00/161.81 | Applying alpha-rule on (9769) yields:
% 204.00/161.81 | (9770) ~ (all_790_0_42295 = 0)
% 204.00/161.81 | (9771) environment(all_33_4_38) = all_790_0_42295
% 204.00/161.81 |
% 204.00/161.81 | Instantiating formula (35) with all_33_4_38, all_790_0_42295, 0 and discharging atoms environment(all_33_4_38) = all_790_0_42295, environment(all_33_4_38) = 0, yields:
% 204.00/161.81 | (9765) all_790_0_42295 = 0
% 204.00/161.81 |
% 204.00/161.81 | Equations (9765) can reduce 9770 to:
% 204.00/161.81 | (62) $false
% 204.00/161.81 |
% 204.00/161.81 |-The branch is then unsatisfiable
% 204.00/161.81 |-Branch two:
% 204.00/161.81 | (9774) ~ (all_790_0_42295 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42295
% 204.00/161.81 |
% 204.00/161.81 | Applying alpha-rule on (9774) yields:
% 204.00/161.81 | (9770) ~ (all_790_0_42295 = 0)
% 204.00/161.81 | (9776) in_environment(all_33_4_38, all_33_1_35) = all_790_0_42295
% 204.00/161.81 |
% 204.00/161.81 +-Applying beta-rule and splitting (6084), into two cases.
% 204.00/161.81 |-Branch one:
% 204.00/161.81 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.00/161.81 |
% 204.00/161.81 +-Applying beta-rule and splitting (6145), into two cases.
% 204.00/161.81 |-Branch one:
% 204.00/161.81 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.00/161.81 |
% 204.00/161.81 | Applying alpha-rule on (6146) yields:
% 204.00/161.81 | (6147) all_562_1_40879 = 0
% 204.00/161.81 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.00/161.81 |
% 204.00/161.81 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_42295 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_42295, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.00/161.81 | (9765) all_790_0_42295 = 0
% 204.00/161.81 |
% 204.00/161.81 | Equations (9765) can reduce 9770 to:
% 204.00/161.81 | (62) $false
% 204.00/161.81 |
% 204.00/161.81 |-The branch is then unsatisfiable
% 204.00/161.81 |-Branch two:
% 204.00/161.81 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.00/161.81 |
% 204.00/161.81 | Applying alpha-rule on (6151) yields:
% 204.00/161.81 | (6152) ~ (all_562_0_40878 = 0)
% 204.00/161.81 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.00/161.81 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.00/161.81 |
% 204.00/161.81 +-Applying beta-rule and splitting (9761), into two cases.
% 204.00/161.81 |-Branch one:
% 204.00/161.81 | (9787) (all_789_0_42293 = 0 & greater_or_equal(all_789_1_42294, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42294) | (all_789_0_42293 = 0 & greater(all_33_1_35, all_789_1_42294) = 0 & end_time(all_33_4_38) = all_789_1_42294)
% 204.00/161.81 |
% 204.00/161.81 +-Applying beta-rule and splitting (9787), into two cases.
% 204.00/161.81 |-Branch one:
% 204.00/161.81 | (9788) all_789_0_42293 = 0 & greater_or_equal(all_789_1_42294, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42294
% 204.00/161.81 |
% 204.00/161.81 | Applying alpha-rule on (9788) yields:
% 204.00/161.81 | (9789) all_789_0_42293 = 0
% 204.00/161.81 | (9790) greater_or_equal(all_789_1_42294, all_33_1_35) = 0
% 204.00/161.81 | (9791) end_time(all_33_4_38) = all_789_1_42294
% 204.00/161.81 |
% 204.00/161.81 | Instantiating formula (43) with all_33_4_38, all_789_1_42294, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42294, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.81 | (9792) all_789_1_42294 = all_33_1_35
% 204.00/161.81 |
% 204.00/161.81 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42294 and discharging atoms end_time(all_33_4_38) = all_789_1_42294, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.00/161.82 | (9793) all_789_1_42294 = all_562_1_40879
% 204.00/161.82 |
% 204.00/161.82 | Combining equations (9793,9792) yields a new equation:
% 204.00/161.82 | (6162) all_562_1_40879 = all_33_1_35
% 204.00/161.82 |
% 204.00/161.82 | Simplifying 6162 yields:
% 204.00/161.82 | (6163) all_562_1_40879 = all_33_1_35
% 204.00/161.82 |
% 204.00/161.82 | From (9792) and (9790) follows:
% 204.00/161.82 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.00/161.82 |
% 204.00/161.82 | From (6163) and (6153) follows:
% 204.00/161.82 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.00/161.82 |
% 204.00/161.82 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.00/161.82 | (6166) all_562_0_40878 = 0
% 204.00/161.82 |
% 204.00/161.82 | Equations (6166) can reduce 6152 to:
% 204.00/161.82 | (62) $false
% 204.00/161.82 |
% 204.00/161.82 |-The branch is then unsatisfiable
% 204.00/161.82 |-Branch two:
% 204.00/161.82 | (9800) all_789_0_42293 = 0 & greater(all_33_1_35, all_789_1_42294) = 0 & end_time(all_33_4_38) = all_789_1_42294
% 204.00/161.82 |
% 204.00/161.82 | Applying alpha-rule on (9800) yields:
% 204.00/161.82 | (9789) all_789_0_42293 = 0
% 204.00/161.82 | (9802) greater(all_33_1_35, all_789_1_42294) = 0
% 204.00/161.82 | (9791) end_time(all_33_4_38) = all_789_1_42294
% 204.00/161.82 |
% 204.00/161.82 | Instantiating formula (43) with all_33_4_38, all_789_1_42294, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42294, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.82 | (9792) all_789_1_42294 = all_33_1_35
% 204.00/161.82 |
% 204.00/161.82 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42294 and discharging atoms end_time(all_33_4_38) = all_789_1_42294, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.00/161.82 | (9793) all_789_1_42294 = all_562_1_40879
% 204.00/161.82 |
% 204.00/161.82 | Combining equations (9793,9792) yields a new equation:
% 204.00/161.82 | (6162) all_562_1_40879 = all_33_1_35
% 204.00/161.82 |
% 204.00/161.82 | Simplifying 6162 yields:
% 204.00/161.82 | (6163) all_562_1_40879 = all_33_1_35
% 204.00/161.82 |
% 204.00/161.82 | From (6163) and (6153) follows:
% 204.00/161.82 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.00/161.82 |
% 204.00/161.82 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.00/161.82 | (6166) all_562_0_40878 = 0
% 204.00/161.82 |
% 204.00/161.82 | Equations (6166) can reduce 6152 to:
% 204.00/161.82 | (62) $false
% 204.00/161.82 |
% 204.00/161.82 |-The branch is then unsatisfiable
% 204.00/161.82 |-Branch two:
% 204.00/161.82 | (9811) ~ (all_789_1_42294 = 0) & environment(all_33_4_38) = all_789_1_42294
% 204.00/161.82 |
% 204.00/161.82 | Applying alpha-rule on (9811) yields:
% 204.00/161.82 | (9812) ~ (all_789_1_42294 = 0)
% 204.00/161.82 | (9813) environment(all_33_4_38) = all_789_1_42294
% 204.00/161.82 |
% 204.00/161.82 | Instantiating formula (35) with all_33_4_38, all_789_1_42294, 0 and discharging atoms environment(all_33_4_38) = all_789_1_42294, environment(all_33_4_38) = 0, yields:
% 204.00/161.82 | (9814) all_789_1_42294 = 0
% 204.00/161.82 |
% 204.00/161.82 | Equations (9814) can reduce 9812 to:
% 204.00/161.82 | (62) $false
% 204.00/161.82 |
% 204.00/161.82 |-The branch is then unsatisfiable
% 204.00/161.82 |-Branch two:
% 204.00/161.82 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.00/161.82 |
% 204.00/161.82 | Applying alpha-rule on (6184) yields:
% 204.00/161.82 | (6185) ~ (all_562_1_40879 = 0)
% 204.00/161.82 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.00/161.82 |
% 204.00/161.82 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.00/161.82 | (6147) all_562_1_40879 = 0
% 204.00/161.82 |
% 204.00/161.82 | Equations (6147) can reduce 6185 to:
% 204.00/161.82 | (62) $false
% 204.00/161.82 |
% 204.00/161.82 |-The branch is then unsatisfiable
% 204.00/161.82 |-Branch two:
% 204.00/161.82 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.00/161.82 |
% 204.00/161.82 | Applying alpha-rule on (6189) yields:
% 204.00/161.82 | (6122) all_450_0_40845 = 0
% 204.00/161.82 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 204.00/161.82 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.00/161.82 |
% 204.00/161.82 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.83 | (6125) all_450_1_40846 = all_33_1_35
% 204.00/161.83 |
% 204.00/161.83 | From (6125) and (6124) follows:
% 204.00/161.83 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.00/161.83 |
% 204.00/161.83 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.00/161.83 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.00/161.83 |
% 204.00/161.83 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.00/161.83 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.00/161.83 |
% 204.00/161.83 | Instantiating (287) with all_774_0_42297 yields:
% 204.00/161.83 | (9829) (all_774_0_42297 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_42297 = 0) & environment(all_33_4_38) = all_774_0_42297) | ( ~ (all_774_0_42297 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_42297)
% 204.00/161.83 |
% 204.00/161.83 | Instantiating (6127) with all_775_0_42298, all_775_1_42299 yields:
% 204.00/161.83 | (9830) (all_775_0_42298 = 0 & greater_or_equal(all_775_1_42299, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42299) | (all_775_0_42298 = 0 & greater(all_33_1_35, all_775_1_42299) = 0 & end_time(all_33_4_38) = all_775_1_42299) | ( ~ (all_775_1_42299 = 0) & environment(all_33_4_38) = all_775_1_42299)
% 204.00/161.83 |
% 204.00/161.83 +-Applying beta-rule and splitting (9829), into two cases.
% 204.00/161.83 |-Branch one:
% 204.00/161.83 | (9831) (all_774_0_42297 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_42297 = 0) & environment(all_33_4_38) = all_774_0_42297)
% 204.00/161.83 |
% 204.00/161.83 +-Applying beta-rule and splitting (9831), into two cases.
% 204.00/161.83 |-Branch one:
% 204.00/161.83 | (9832) all_774_0_42297 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.00/161.83 |
% 204.00/161.83 | Applying alpha-rule on (9832) yields:
% 204.00/161.83 | (9833) all_774_0_42297 = 0
% 204.00/161.83 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.00/161.83 |
% 204.00/161.83 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.00/161.83 | (109) all_33_0_34 = 0
% 204.00/161.83 |
% 204.00/161.83 | Equations (109) can reduce 72 to:
% 204.00/161.83 | (62) $false
% 204.00/161.83 |
% 204.00/161.83 |-The branch is then unsatisfiable
% 204.00/161.83 |-Branch two:
% 204.00/161.83 | (9837) ~ (all_774_0_42297 = 0) & environment(all_33_4_38) = all_774_0_42297
% 204.00/161.83 |
% 204.00/161.83 | Applying alpha-rule on (9837) yields:
% 204.00/161.83 | (9838) ~ (all_774_0_42297 = 0)
% 204.00/161.83 | (9839) environment(all_33_4_38) = all_774_0_42297
% 204.00/161.83 |
% 204.00/161.83 | Instantiating formula (35) with all_33_4_38, all_774_0_42297, 0 and discharging atoms environment(all_33_4_38) = all_774_0_42297, environment(all_33_4_38) = 0, yields:
% 204.00/161.83 | (9833) all_774_0_42297 = 0
% 204.00/161.83 |
% 204.00/161.83 | Equations (9833) can reduce 9838 to:
% 204.00/161.83 | (62) $false
% 204.00/161.83 |
% 204.00/161.83 |-The branch is then unsatisfiable
% 204.00/161.83 |-Branch two:
% 204.00/161.83 | (9842) ~ (all_774_0_42297 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_42297
% 204.00/161.83 |
% 204.00/161.83 | Applying alpha-rule on (9842) yields:
% 204.00/161.83 | (9838) ~ (all_774_0_42297 = 0)
% 204.00/161.83 | (9844) in_environment(all_33_4_38, all_33_1_35) = all_774_0_42297
% 204.00/161.83 |
% 204.00/161.83 +-Applying beta-rule and splitting (6084), into two cases.
% 204.00/161.83 |-Branch one:
% 204.00/161.83 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.00/161.83 |
% 204.00/161.83 +-Applying beta-rule and splitting (6145), into two cases.
% 204.00/161.83 |-Branch one:
% 204.00/161.83 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.00/161.83 |
% 204.00/161.83 | Applying alpha-rule on (6146) yields:
% 204.00/161.83 | (6147) all_562_1_40879 = 0
% 204.00/161.83 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.00/161.83 |
% 204.00/161.83 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_774_0_42297 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_774_0_42297, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.00/161.83 | (9833) all_774_0_42297 = 0
% 204.00/161.83 |
% 204.00/161.83 | Equations (9833) can reduce 9838 to:
% 204.00/161.83 | (62) $false
% 204.00/161.83 |
% 204.00/161.83 |-The branch is then unsatisfiable
% 204.00/161.83 |-Branch two:
% 204.00/161.83 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.00/161.83 |
% 204.00/161.83 | Applying alpha-rule on (6151) yields:
% 204.00/161.83 | (6152) ~ (all_562_0_40878 = 0)
% 204.00/161.83 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.00/161.83 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.00/161.83 |
% 204.00/161.83 +-Applying beta-rule and splitting (9830), into two cases.
% 204.00/161.83 |-Branch one:
% 204.00/161.83 | (9855) (all_775_0_42298 = 0 & greater_or_equal(all_775_1_42299, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42299) | (all_775_0_42298 = 0 & greater(all_33_1_35, all_775_1_42299) = 0 & end_time(all_33_4_38) = all_775_1_42299)
% 204.00/161.83 |
% 204.00/161.83 +-Applying beta-rule and splitting (9855), into two cases.
% 204.00/161.83 |-Branch one:
% 204.00/161.83 | (9856) all_775_0_42298 = 0 & greater_or_equal(all_775_1_42299, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42299
% 204.00/161.83 |
% 204.00/161.83 | Applying alpha-rule on (9856) yields:
% 204.00/161.83 | (9857) all_775_0_42298 = 0
% 204.00/161.83 | (9858) greater_or_equal(all_775_1_42299, all_33_1_35) = 0
% 204.00/161.83 | (9859) end_time(all_33_4_38) = all_775_1_42299
% 204.00/161.83 |
% 204.00/161.83 | Instantiating formula (43) with all_33_4_38, all_775_1_42299, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_42299, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.83 | (9860) all_775_1_42299 = all_33_1_35
% 204.00/161.83 |
% 204.00/161.83 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_42299 and discharging atoms end_time(all_33_4_38) = all_775_1_42299, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.00/161.84 | (9861) all_775_1_42299 = all_562_1_40879
% 204.00/161.84 |
% 204.00/161.84 | Combining equations (9861,9860) yields a new equation:
% 204.00/161.84 | (6162) all_562_1_40879 = all_33_1_35
% 204.00/161.84 |
% 204.00/161.84 | Simplifying 6162 yields:
% 204.00/161.84 | (6163) all_562_1_40879 = all_33_1_35
% 204.00/161.84 |
% 204.00/161.84 | From (9860) and (9858) follows:
% 204.00/161.84 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.00/161.84 |
% 204.00/161.84 | From (6163) and (6153) follows:
% 204.00/161.84 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.00/161.84 |
% 204.00/161.84 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.00/161.84 | (6166) all_562_0_40878 = 0
% 204.00/161.84 |
% 204.00/161.84 | Equations (6166) can reduce 6152 to:
% 204.00/161.84 | (62) $false
% 204.00/161.84 |
% 204.00/161.84 |-The branch is then unsatisfiable
% 204.00/161.84 |-Branch two:
% 204.00/161.84 | (9868) all_775_0_42298 = 0 & greater(all_33_1_35, all_775_1_42299) = 0 & end_time(all_33_4_38) = all_775_1_42299
% 204.00/161.84 |
% 204.00/161.84 | Applying alpha-rule on (9868) yields:
% 204.00/161.84 | (9857) all_775_0_42298 = 0
% 204.00/161.84 | (9870) greater(all_33_1_35, all_775_1_42299) = 0
% 204.00/161.84 | (9859) end_time(all_33_4_38) = all_775_1_42299
% 204.00/161.84 |
% 204.00/161.84 | Instantiating formula (43) with all_33_4_38, all_775_1_42299, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_42299, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.84 | (9860) all_775_1_42299 = all_33_1_35
% 204.00/161.84 |
% 204.00/161.84 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_42299 and discharging atoms end_time(all_33_4_38) = all_775_1_42299, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.00/161.84 | (9861) all_775_1_42299 = all_562_1_40879
% 204.00/161.84 |
% 204.00/161.84 | Combining equations (9861,9860) yields a new equation:
% 204.00/161.84 | (6162) all_562_1_40879 = all_33_1_35
% 204.00/161.84 |
% 204.00/161.84 | Simplifying 6162 yields:
% 204.00/161.84 | (6163) all_562_1_40879 = all_33_1_35
% 204.00/161.84 |
% 204.00/161.84 | From (6163) and (6153) follows:
% 204.00/161.84 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.00/161.84 |
% 204.00/161.84 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.00/161.84 | (6166) all_562_0_40878 = 0
% 204.00/161.84 |
% 204.00/161.84 | Equations (6166) can reduce 6152 to:
% 204.00/161.84 | (62) $false
% 204.00/161.84 |
% 204.00/161.84 |-The branch is then unsatisfiable
% 204.00/161.84 |-Branch two:
% 204.00/161.84 | (9879) ~ (all_775_1_42299 = 0) & environment(all_33_4_38) = all_775_1_42299
% 204.00/161.84 |
% 204.00/161.84 | Applying alpha-rule on (9879) yields:
% 204.00/161.84 | (9880) ~ (all_775_1_42299 = 0)
% 204.00/161.84 | (9881) environment(all_33_4_38) = all_775_1_42299
% 204.00/161.84 |
% 204.00/161.84 | Instantiating formula (35) with all_33_4_38, all_775_1_42299, 0 and discharging atoms environment(all_33_4_38) = all_775_1_42299, environment(all_33_4_38) = 0, yields:
% 204.00/161.84 | (9882) all_775_1_42299 = 0
% 204.00/161.84 |
% 204.00/161.84 | Equations (9882) can reduce 9880 to:
% 204.00/161.84 | (62) $false
% 204.00/161.84 |
% 204.00/161.84 |-The branch is then unsatisfiable
% 204.00/161.84 |-Branch two:
% 204.00/161.84 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.00/161.84 |
% 204.00/161.84 | Applying alpha-rule on (6184) yields:
% 204.00/161.84 | (6185) ~ (all_562_1_40879 = 0)
% 204.00/161.84 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.00/161.84 |
% 204.00/161.84 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.00/161.84 | (6147) all_562_1_40879 = 0
% 204.00/161.84 |
% 204.00/161.84 | Equations (6147) can reduce 6185 to:
% 204.00/161.84 | (62) $false
% 204.00/161.84 |
% 204.00/161.84 |-The branch is then unsatisfiable
% 204.00/161.84 |-Branch two:
% 204.00/161.84 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 204.00/161.84 |
% 204.00/161.84 | Applying alpha-rule on (6257) yields:
% 204.00/161.84 | (6258) ~ (all_450_1_40846 = 0)
% 204.00/161.84 | (6259) environment(all_33_4_38) = all_450_1_40846
% 204.00/161.84 |
% 204.00/161.84 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 204.00/161.84 | (6260) all_450_1_40846 = 0
% 204.00/161.84 |
% 204.00/161.84 | Equations (6260) can reduce 6258 to:
% 204.00/161.84 | (62) $false
% 204.00/161.84 |
% 204.00/161.84 |-The branch is then unsatisfiable
% 204.00/161.85 |-Branch two:
% 204.00/161.85 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 204.00/161.85 |
% 204.00/161.85 | Applying alpha-rule on (6410) yields:
% 204.00/161.85 | (6411) ~ (all_449_1_40844 = 0)
% 204.00/161.85 | (6412) environment(all_33_4_38) = all_449_1_40844
% 204.00/161.85 |
% 204.00/161.85 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 204.00/161.85 | (6413) all_449_1_40844 = 0
% 204.00/161.85 |
% 204.00/161.85 | Equations (6413) can reduce 6411 to:
% 204.00/161.85 | (62) $false
% 204.00/161.85 |
% 204.00/161.85 |-The branch is then unsatisfiable
% 204.00/161.85 |-Branch two:
% 204.00/161.85 | (6723) ~ (all_448_1_40842 = 0) & environment(all_33_4_38) = all_448_1_40842
% 204.00/161.85 |
% 204.00/161.85 | Applying alpha-rule on (6723) yields:
% 204.00/161.85 | (6724) ~ (all_448_1_40842 = 0)
% 204.00/161.85 | (6725) environment(all_33_4_38) = all_448_1_40842
% 204.00/161.85 |
% 204.00/161.85 | Instantiating formula (35) with all_33_4_38, all_448_1_40842, 0 and discharging atoms environment(all_33_4_38) = all_448_1_40842, environment(all_33_4_38) = 0, yields:
% 204.00/161.85 | (6726) all_448_1_40842 = 0
% 204.00/161.85 |
% 204.00/161.85 | Equations (6726) can reduce 6724 to:
% 204.00/161.85 | (62) $false
% 204.00/161.85 |
% 204.00/161.85 |-The branch is then unsatisfiable
% 204.00/161.85 |-Branch two:
% 204.00/161.85 | (7356) ~ (all_447_1_40840 = 0) & environment(all_33_4_38) = all_447_1_40840
% 204.00/161.85 |
% 204.00/161.85 | Applying alpha-rule on (7356) yields:
% 204.00/161.85 | (7357) ~ (all_447_1_40840 = 0)
% 204.00/161.85 | (7358) environment(all_33_4_38) = all_447_1_40840
% 204.00/161.85 |
% 204.00/161.85 | Instantiating formula (35) with all_33_4_38, all_447_1_40840, 0 and discharging atoms environment(all_33_4_38) = all_447_1_40840, environment(all_33_4_38) = 0, yields:
% 204.00/161.85 | (7359) all_447_1_40840 = 0
% 204.00/161.85 |
% 204.00/161.85 | Equations (7359) can reduce 7357 to:
% 204.00/161.85 | (62) $false
% 204.00/161.85 |
% 204.00/161.85 |-The branch is then unsatisfiable
% 204.00/161.85 |-Branch two:
% 204.00/161.85 | (7361) all_444_0_40833 = 0 & greater(all_51_2_49, all_444_1_40834) = 0 & end_time(all_33_4_38) = all_444_1_40834
% 204.00/161.85 |
% 204.00/161.85 | Applying alpha-rule on (7361) yields:
% 204.00/161.85 | (6094) all_444_0_40833 = 0
% 204.00/161.85 | (7363) greater(all_51_2_49, all_444_1_40834) = 0
% 204.00/161.85 | (6096) end_time(all_33_4_38) = all_444_1_40834
% 204.00/161.85 |
% 204.00/161.85 | Instantiating formula (43) with all_33_4_38, all_444_1_40834, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_444_1_40834, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.85 | (6097) all_444_1_40834 = all_33_1_35
% 204.00/161.85 |
% 204.00/161.85 | From (6097) and (6096) follows:
% 204.00/161.85 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.00/161.85 |
% 204.00/161.85 +-Applying beta-rule and splitting (6070), into two cases.
% 204.00/161.85 |-Branch one:
% 204.00/161.85 | (6099) (all_447_0_40839 = 0 & greater_or_equal(all_447_1_40840, all_60_2_75) = 0 & end_time(all_33_4_38) = all_447_1_40840) | (all_447_0_40839 = 0 & greater(all_60_2_75, all_447_1_40840) = 0 & end_time(all_33_4_38) = all_447_1_40840)
% 204.00/161.85 |
% 204.00/161.85 +-Applying beta-rule and splitting (6099), into two cases.
% 204.00/161.85 |-Branch one:
% 204.00/161.85 | (6100) all_447_0_40839 = 0 & greater_or_equal(all_447_1_40840, all_60_2_75) = 0 & end_time(all_33_4_38) = all_447_1_40840
% 204.00/161.85 |
% 204.00/161.85 | Applying alpha-rule on (6100) yields:
% 204.00/161.85 | (6101) all_447_0_40839 = 0
% 204.00/161.85 | (6102) greater_or_equal(all_447_1_40840, all_60_2_75) = 0
% 204.00/161.85 | (6103) end_time(all_33_4_38) = all_447_1_40840
% 204.00/161.85 |
% 204.00/161.85 | Instantiating formula (43) with all_33_4_38, all_447_1_40840, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_447_1_40840, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.85 | (6104) all_447_1_40840 = all_33_1_35
% 204.00/161.85 |
% 204.00/161.85 | From (6104) and (6103) follows:
% 204.00/161.85 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.00/161.85 |
% 204.00/161.85 +-Applying beta-rule and splitting (6071), into two cases.
% 204.00/161.85 |-Branch one:
% 204.00/161.85 | (6106) (all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842) | (all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842)
% 204.00/161.85 |
% 204.00/161.85 +-Applying beta-rule and splitting (6106), into two cases.
% 204.00/161.85 |-Branch one:
% 204.00/161.85 | (6107) all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 204.00/161.85 |
% 204.00/161.85 | Applying alpha-rule on (6107) yields:
% 204.00/161.85 | (6108) all_448_0_40841 = 0
% 204.00/161.85 | (6109) greater_or_equal(all_448_1_40842, all_114_2_98) = 0
% 204.00/161.85 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 204.00/161.85 |
% 204.00/161.85 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.85 | (6111) all_448_1_40842 = all_33_1_35
% 204.00/161.85 |
% 204.00/161.85 | From (6111) and (6110) follows:
% 204.00/161.85 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.00/161.85 |
% 204.00/161.85 +-Applying beta-rule and splitting (6072), into two cases.
% 204.00/161.85 |-Branch one:
% 204.00/161.85 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 204.00/161.85 |
% 204.00/161.85 +-Applying beta-rule and splitting (6113), into two cases.
% 204.00/161.85 |-Branch one:
% 204.00/161.85 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 204.00/161.85 |
% 204.00/161.85 | Applying alpha-rule on (6114) yields:
% 204.00/161.85 | (6115) all_449_0_40843 = 0
% 204.00/161.85 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 204.00/161.85 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 204.00/161.85 |
% 204.00/161.85 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.85 | (6118) all_449_1_40844 = all_33_1_35
% 204.00/161.85 |
% 204.00/161.85 | From (6118) and (6117) follows:
% 204.00/161.86 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.00/161.86 |
% 204.00/161.86 +-Applying beta-rule and splitting (6073), into two cases.
% 204.00/161.86 |-Branch one:
% 204.00/161.86 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 204.00/161.86 |
% 204.00/161.86 +-Applying beta-rule and splitting (6120), into two cases.
% 204.00/161.86 |-Branch one:
% 204.00/161.86 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.00/161.86 |
% 204.00/161.86 | Applying alpha-rule on (6121) yields:
% 204.00/161.86 | (6122) all_450_0_40845 = 0
% 204.00/161.86 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 204.00/161.86 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.00/161.86 |
% 204.00/161.86 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.86 | (6125) all_450_1_40846 = all_33_1_35
% 204.00/161.86 |
% 204.00/161.86 | From (6125) and (6124) follows:
% 204.00/161.86 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.00/161.86 |
% 204.00/161.86 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.00/161.86 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.00/161.86 |
% 204.00/161.86 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.00/161.86 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.00/161.86 |
% 204.00/161.86 | Instantiating (287) with all_779_0_42335 yields:
% 204.00/161.86 | (9945) (all_779_0_42335 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_42335 = 0) & environment(all_33_4_38) = all_779_0_42335) | ( ~ (all_779_0_42335 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_42335)
% 204.00/161.86 |
% 204.00/161.86 | Instantiating (6127) with all_788_0_42351, all_788_1_42352 yields:
% 204.00/161.86 | (9946) (all_788_0_42351 = 0 & greater_or_equal(all_788_1_42352, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_42352) | (all_788_0_42351 = 0 & greater(all_33_1_35, all_788_1_42352) = 0 & end_time(all_33_4_38) = all_788_1_42352) | ( ~ (all_788_1_42352 = 0) & environment(all_33_4_38) = all_788_1_42352)
% 204.00/161.86 |
% 204.00/161.86 +-Applying beta-rule and splitting (9945), into two cases.
% 204.00/161.86 |-Branch one:
% 204.00/161.86 | (9947) (all_779_0_42335 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_779_0_42335 = 0) & environment(all_33_4_38) = all_779_0_42335)
% 204.00/161.86 |
% 204.00/161.86 +-Applying beta-rule and splitting (9947), into two cases.
% 204.00/161.86 |-Branch one:
% 204.00/161.86 | (9948) all_779_0_42335 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.00/161.86 |
% 204.00/161.86 | Applying alpha-rule on (9948) yields:
% 204.00/161.86 | (9949) all_779_0_42335 = 0
% 204.00/161.86 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.00/161.86 |
% 204.00/161.86 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.00/161.86 | (109) all_33_0_34 = 0
% 204.00/161.86 |
% 204.00/161.86 | Equations (109) can reduce 72 to:
% 204.00/161.86 | (62) $false
% 204.00/161.86 |
% 204.00/161.86 |-The branch is then unsatisfiable
% 204.00/161.86 |-Branch two:
% 204.00/161.86 | (9953) ~ (all_779_0_42335 = 0) & environment(all_33_4_38) = all_779_0_42335
% 204.00/161.86 |
% 204.00/161.86 | Applying alpha-rule on (9953) yields:
% 204.00/161.86 | (9954) ~ (all_779_0_42335 = 0)
% 204.00/161.86 | (9955) environment(all_33_4_38) = all_779_0_42335
% 204.00/161.86 |
% 204.00/161.86 | Instantiating formula (35) with all_33_4_38, all_779_0_42335, 0 and discharging atoms environment(all_33_4_38) = all_779_0_42335, environment(all_33_4_38) = 0, yields:
% 204.00/161.86 | (9949) all_779_0_42335 = 0
% 204.00/161.86 |
% 204.00/161.86 | Equations (9949) can reduce 9954 to:
% 204.00/161.86 | (62) $false
% 204.00/161.86 |
% 204.00/161.86 |-The branch is then unsatisfiable
% 204.00/161.86 |-Branch two:
% 204.00/161.86 | (9958) ~ (all_779_0_42335 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_779_0_42335
% 204.00/161.86 |
% 204.00/161.86 | Applying alpha-rule on (9958) yields:
% 204.00/161.86 | (9954) ~ (all_779_0_42335 = 0)
% 204.00/161.86 | (9960) in_environment(all_33_4_38, all_33_1_35) = all_779_0_42335
% 204.00/161.86 |
% 204.00/161.86 +-Applying beta-rule and splitting (6084), into two cases.
% 204.00/161.86 |-Branch one:
% 204.00/161.86 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.00/161.86 |
% 204.00/161.86 +-Applying beta-rule and splitting (6145), into two cases.
% 204.00/161.86 |-Branch one:
% 204.00/161.86 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.00/161.86 |
% 204.00/161.86 | Applying alpha-rule on (6146) yields:
% 204.00/161.86 | (6147) all_562_1_40879 = 0
% 204.00/161.86 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.00/161.86 |
% 204.00/161.86 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_779_0_42335 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_779_0_42335, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.00/161.86 | (9949) all_779_0_42335 = 0
% 204.00/161.86 |
% 204.00/161.86 | Equations (9949) can reduce 9954 to:
% 204.00/161.86 | (62) $false
% 204.00/161.86 |
% 204.00/161.86 |-The branch is then unsatisfiable
% 204.00/161.86 |-Branch two:
% 204.00/161.86 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.00/161.86 |
% 204.00/161.86 | Applying alpha-rule on (6151) yields:
% 204.00/161.86 | (6152) ~ (all_562_0_40878 = 0)
% 204.00/161.86 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.00/161.86 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.00/161.86 |
% 204.00/161.86 +-Applying beta-rule and splitting (9946), into two cases.
% 204.00/161.86 |-Branch one:
% 204.00/161.86 | (9971) (all_788_0_42351 = 0 & greater_or_equal(all_788_1_42352, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_42352) | (all_788_0_42351 = 0 & greater(all_33_1_35, all_788_1_42352) = 0 & end_time(all_33_4_38) = all_788_1_42352)
% 204.00/161.86 |
% 204.00/161.86 +-Applying beta-rule and splitting (9971), into two cases.
% 204.00/161.86 |-Branch one:
% 204.00/161.87 | (9972) all_788_0_42351 = 0 & greater_or_equal(all_788_1_42352, all_33_1_35) = 0 & end_time(all_33_4_38) = all_788_1_42352
% 204.00/161.87 |
% 204.00/161.87 | Applying alpha-rule on (9972) yields:
% 204.00/161.87 | (9973) all_788_0_42351 = 0
% 204.00/161.87 | (9974) greater_or_equal(all_788_1_42352, all_33_1_35) = 0
% 204.00/161.87 | (9975) end_time(all_33_4_38) = all_788_1_42352
% 204.00/161.87 |
% 204.00/161.87 | Instantiating formula (43) with all_33_4_38, all_788_1_42352, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_42352, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.87 | (9976) all_788_1_42352 = all_33_1_35
% 204.00/161.87 |
% 204.00/161.87 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_42352 and discharging atoms end_time(all_33_4_38) = all_788_1_42352, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.00/161.87 | (9977) all_788_1_42352 = all_562_1_40879
% 204.00/161.87 |
% 204.00/161.87 | Combining equations (9977,9976) yields a new equation:
% 204.00/161.87 | (6162) all_562_1_40879 = all_33_1_35
% 204.00/161.87 |
% 204.00/161.87 | Simplifying 6162 yields:
% 204.00/161.87 | (6163) all_562_1_40879 = all_33_1_35
% 204.00/161.87 |
% 204.00/161.87 | From (9976) and (9974) follows:
% 204.00/161.87 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.00/161.87 |
% 204.00/161.87 | From (6163) and (6153) follows:
% 204.00/161.87 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.00/161.87 |
% 204.00/161.87 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.00/161.87 | (6166) all_562_0_40878 = 0
% 204.00/161.87 |
% 204.00/161.87 | Equations (6166) can reduce 6152 to:
% 204.00/161.87 | (62) $false
% 204.00/161.87 |
% 204.00/161.87 |-The branch is then unsatisfiable
% 204.00/161.87 |-Branch two:
% 204.00/161.87 | (9984) all_788_0_42351 = 0 & greater(all_33_1_35, all_788_1_42352) = 0 & end_time(all_33_4_38) = all_788_1_42352
% 204.00/161.87 |
% 204.00/161.87 | Applying alpha-rule on (9984) yields:
% 204.00/161.87 | (9973) all_788_0_42351 = 0
% 204.00/161.87 | (9986) greater(all_33_1_35, all_788_1_42352) = 0
% 204.00/161.87 | (9975) end_time(all_33_4_38) = all_788_1_42352
% 204.00/161.87 |
% 204.00/161.87 | Instantiating formula (43) with all_33_4_38, all_788_1_42352, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_788_1_42352, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.87 | (9976) all_788_1_42352 = all_33_1_35
% 204.00/161.87 |
% 204.00/161.87 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_788_1_42352 and discharging atoms end_time(all_33_4_38) = all_788_1_42352, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.00/161.87 | (9977) all_788_1_42352 = all_562_1_40879
% 204.00/161.87 |
% 204.00/161.87 | Combining equations (9977,9976) yields a new equation:
% 204.00/161.87 | (6162) all_562_1_40879 = all_33_1_35
% 204.00/161.87 |
% 204.00/161.87 | Simplifying 6162 yields:
% 204.00/161.87 | (6163) all_562_1_40879 = all_33_1_35
% 204.00/161.87 |
% 204.00/161.87 | From (6163) and (6153) follows:
% 204.00/161.87 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.00/161.87 |
% 204.00/161.87 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.00/161.87 | (6166) all_562_0_40878 = 0
% 204.00/161.87 |
% 204.00/161.87 | Equations (6166) can reduce 6152 to:
% 204.00/161.87 | (62) $false
% 204.00/161.87 |
% 204.00/161.87 |-The branch is then unsatisfiable
% 204.00/161.87 |-Branch two:
% 204.00/161.87 | (9995) ~ (all_788_1_42352 = 0) & environment(all_33_4_38) = all_788_1_42352
% 204.00/161.87 |
% 204.00/161.87 | Applying alpha-rule on (9995) yields:
% 204.00/161.87 | (9996) ~ (all_788_1_42352 = 0)
% 204.00/161.87 | (9997) environment(all_33_4_38) = all_788_1_42352
% 204.00/161.87 |
% 204.00/161.87 | Instantiating formula (35) with all_33_4_38, all_788_1_42352, 0 and discharging atoms environment(all_33_4_38) = all_788_1_42352, environment(all_33_4_38) = 0, yields:
% 204.00/161.87 | (9998) all_788_1_42352 = 0
% 204.00/161.87 |
% 204.00/161.87 | Equations (9998) can reduce 9996 to:
% 204.00/161.87 | (62) $false
% 204.00/161.87 |
% 204.00/161.87 |-The branch is then unsatisfiable
% 204.00/161.87 |-Branch two:
% 204.00/161.87 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.00/161.87 |
% 204.00/161.87 | Applying alpha-rule on (6184) yields:
% 204.00/161.87 | (6185) ~ (all_562_1_40879 = 0)
% 204.00/161.88 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.00/161.88 |
% 204.00/161.88 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.00/161.88 | (6147) all_562_1_40879 = 0
% 204.00/161.88 |
% 204.00/161.88 | Equations (6147) can reduce 6185 to:
% 204.00/161.88 | (62) $false
% 204.00/161.88 |
% 204.00/161.88 |-The branch is then unsatisfiable
% 204.00/161.88 |-Branch two:
% 204.00/161.88 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.00/161.88 |
% 204.00/161.88 | Applying alpha-rule on (6189) yields:
% 204.00/161.88 | (6122) all_450_0_40845 = 0
% 204.00/161.88 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 204.00/161.88 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.00/161.88 |
% 204.00/161.88 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.00/161.88 | (6125) all_450_1_40846 = all_33_1_35
% 204.00/161.88 |
% 204.00/161.88 | From (6125) and (6124) follows:
% 204.00/161.88 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.00/161.88 |
% 204.00/161.88 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.00/161.88 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.00/161.88 |
% 204.00/161.88 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.00/161.88 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.00/161.88 |
% 204.00/161.88 | Instantiating (287) with all_783_0_42372 yields:
% 204.00/161.88 | (10013) (all_783_0_42372 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42372 = 0) & environment(all_33_4_38) = all_783_0_42372) | ( ~ (all_783_0_42372 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42372)
% 204.00/161.88 |
% 204.00/161.88 | Instantiating (6127) with all_784_0_42373, all_784_1_42374 yields:
% 204.00/161.88 | (10014) (all_784_0_42373 = 0 & greater_or_equal(all_784_1_42374, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42374) | (all_784_0_42373 = 0 & greater(all_33_1_35, all_784_1_42374) = 0 & end_time(all_33_4_38) = all_784_1_42374) | ( ~ (all_784_1_42374 = 0) & environment(all_33_4_38) = all_784_1_42374)
% 204.00/161.88 |
% 204.00/161.88 +-Applying beta-rule and splitting (10013), into two cases.
% 204.00/161.88 |-Branch one:
% 204.00/161.88 | (10015) (all_783_0_42372 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42372 = 0) & environment(all_33_4_38) = all_783_0_42372)
% 204.00/161.88 |
% 204.00/161.88 +-Applying beta-rule and splitting (10015), into two cases.
% 204.00/161.88 |-Branch one:
% 204.00/161.88 | (10016) all_783_0_42372 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.00/161.88 |
% 204.00/161.88 | Applying alpha-rule on (10016) yields:
% 204.00/161.88 | (10017) all_783_0_42372 = 0
% 204.00/161.88 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.00/161.88 |
% 204.00/161.88 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.00/161.88 | (109) all_33_0_34 = 0
% 204.00/161.88 |
% 204.00/161.88 | Equations (109) can reduce 72 to:
% 204.00/161.88 | (62) $false
% 204.00/161.88 |
% 204.00/161.88 |-The branch is then unsatisfiable
% 204.00/161.88 |-Branch two:
% 204.00/161.88 | (10021) ~ (all_783_0_42372 = 0) & environment(all_33_4_38) = all_783_0_42372
% 204.00/161.88 |
% 204.00/161.88 | Applying alpha-rule on (10021) yields:
% 204.00/161.88 | (10022) ~ (all_783_0_42372 = 0)
% 204.00/161.88 | (10023) environment(all_33_4_38) = all_783_0_42372
% 204.00/161.88 |
% 204.00/161.88 | Instantiating formula (35) with all_33_4_38, all_783_0_42372, 0 and discharging atoms environment(all_33_4_38) = all_783_0_42372, environment(all_33_4_38) = 0, yields:
% 204.00/161.88 | (10017) all_783_0_42372 = 0
% 204.00/161.88 |
% 204.00/161.88 | Equations (10017) can reduce 10022 to:
% 204.00/161.88 | (62) $false
% 204.00/161.88 |
% 204.00/161.88 |-The branch is then unsatisfiable
% 204.08/161.88 |-Branch two:
% 204.08/161.88 | (10026) ~ (all_783_0_42372 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42372
% 204.08/161.88 |
% 204.08/161.88 | Applying alpha-rule on (10026) yields:
% 204.08/161.88 | (10022) ~ (all_783_0_42372 = 0)
% 204.08/161.88 | (10028) in_environment(all_33_4_38, all_33_1_35) = all_783_0_42372
% 204.08/161.88 |
% 204.08/161.88 +-Applying beta-rule and splitting (6084), into two cases.
% 204.08/161.88 |-Branch one:
% 204.08/161.88 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.08/161.88 |
% 204.08/161.88 +-Applying beta-rule and splitting (6145), into two cases.
% 204.08/161.88 |-Branch one:
% 204.08/161.88 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.08/161.88 |
% 204.08/161.88 | Applying alpha-rule on (6146) yields:
% 204.08/161.88 | (6147) all_562_1_40879 = 0
% 204.08/161.88 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.08/161.88 |
% 204.08/161.88 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_42372 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_42372, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.08/161.88 | (10017) all_783_0_42372 = 0
% 204.08/161.88 |
% 204.08/161.88 | Equations (10017) can reduce 10022 to:
% 204.08/161.88 | (62) $false
% 204.08/161.88 |
% 204.08/161.88 |-The branch is then unsatisfiable
% 204.08/161.88 |-Branch two:
% 204.08/161.88 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.08/161.88 |
% 204.08/161.88 | Applying alpha-rule on (6151) yields:
% 204.08/161.88 | (6152) ~ (all_562_0_40878 = 0)
% 204.08/161.88 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.08/161.88 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.08/161.88 |
% 204.08/161.89 +-Applying beta-rule and splitting (10014), into two cases.
% 204.08/161.89 |-Branch one:
% 204.08/161.89 | (10039) (all_784_0_42373 = 0 & greater_or_equal(all_784_1_42374, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42374) | (all_784_0_42373 = 0 & greater(all_33_1_35, all_784_1_42374) = 0 & end_time(all_33_4_38) = all_784_1_42374)
% 204.08/161.89 |
% 204.08/161.89 +-Applying beta-rule and splitting (10039), into two cases.
% 204.08/161.89 |-Branch one:
% 204.08/161.89 | (10040) all_784_0_42373 = 0 & greater_or_equal(all_784_1_42374, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42374
% 204.08/161.89 |
% 204.08/161.89 | Applying alpha-rule on (10040) yields:
% 204.08/161.89 | (10041) all_784_0_42373 = 0
% 204.08/161.89 | (10042) greater_or_equal(all_784_1_42374, all_33_1_35) = 0
% 204.08/161.89 | (10043) end_time(all_33_4_38) = all_784_1_42374
% 204.08/161.89 |
% 204.08/161.89 | Instantiating formula (43) with all_33_4_38, all_784_1_42374, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42374, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.89 | (10044) all_784_1_42374 = all_33_1_35
% 204.08/161.89 |
% 204.08/161.89 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42374 and discharging atoms end_time(all_33_4_38) = all_784_1_42374, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.08/161.89 | (10045) all_784_1_42374 = all_562_1_40879
% 204.08/161.89 |
% 204.08/161.89 | Combining equations (10045,10044) yields a new equation:
% 204.08/161.89 | (6162) all_562_1_40879 = all_33_1_35
% 204.08/161.89 |
% 204.08/161.89 | Simplifying 6162 yields:
% 204.08/161.89 | (6163) all_562_1_40879 = all_33_1_35
% 204.08/161.89 |
% 204.08/161.89 | From (10044) and (10042) follows:
% 204.08/161.89 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.08/161.89 |
% 204.08/161.89 | From (6163) and (6153) follows:
% 204.08/161.89 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.08/161.89 |
% 204.08/161.89 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.08/161.89 | (6166) all_562_0_40878 = 0
% 204.08/161.89 |
% 204.08/161.89 | Equations (6166) can reduce 6152 to:
% 204.08/161.89 | (62) $false
% 204.08/161.89 |
% 204.08/161.89 |-The branch is then unsatisfiable
% 204.08/161.89 |-Branch two:
% 204.08/161.89 | (10052) all_784_0_42373 = 0 & greater(all_33_1_35, all_784_1_42374) = 0 & end_time(all_33_4_38) = all_784_1_42374
% 204.08/161.89 |
% 204.08/161.89 | Applying alpha-rule on (10052) yields:
% 204.08/161.89 | (10041) all_784_0_42373 = 0
% 204.08/161.89 | (10054) greater(all_33_1_35, all_784_1_42374) = 0
% 204.08/161.89 | (10043) end_time(all_33_4_38) = all_784_1_42374
% 204.08/161.89 |
% 204.08/161.89 | Instantiating formula (43) with all_33_4_38, all_784_1_42374, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42374, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.89 | (10044) all_784_1_42374 = all_33_1_35
% 204.08/161.89 |
% 204.08/161.89 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42374 and discharging atoms end_time(all_33_4_38) = all_784_1_42374, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.08/161.89 | (10045) all_784_1_42374 = all_562_1_40879
% 204.08/161.89 |
% 204.08/161.89 | Combining equations (10045,10044) yields a new equation:
% 204.08/161.89 | (6162) all_562_1_40879 = all_33_1_35
% 204.08/161.89 |
% 204.08/161.89 | Simplifying 6162 yields:
% 204.08/161.89 | (6163) all_562_1_40879 = all_33_1_35
% 204.08/161.89 |
% 204.08/161.89 | From (6163) and (6153) follows:
% 204.08/161.89 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.08/161.89 |
% 204.08/161.89 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.08/161.89 | (6166) all_562_0_40878 = 0
% 204.08/161.89 |
% 204.08/161.89 | Equations (6166) can reduce 6152 to:
% 204.08/161.89 | (62) $false
% 204.08/161.89 |
% 204.08/161.89 |-The branch is then unsatisfiable
% 204.08/161.89 |-Branch two:
% 204.08/161.89 | (10063) ~ (all_784_1_42374 = 0) & environment(all_33_4_38) = all_784_1_42374
% 204.08/161.89 |
% 204.08/161.89 | Applying alpha-rule on (10063) yields:
% 204.08/161.89 | (10064) ~ (all_784_1_42374 = 0)
% 204.08/161.89 | (10065) environment(all_33_4_38) = all_784_1_42374
% 204.08/161.89 |
% 204.08/161.89 | Instantiating formula (35) with all_33_4_38, all_784_1_42374, 0 and discharging atoms environment(all_33_4_38) = all_784_1_42374, environment(all_33_4_38) = 0, yields:
% 204.08/161.90 | (10066) all_784_1_42374 = 0
% 204.08/161.90 |
% 204.08/161.90 | Equations (10066) can reduce 10064 to:
% 204.08/161.90 | (62) $false
% 204.08/161.90 |
% 204.08/161.90 |-The branch is then unsatisfiable
% 204.08/161.90 |-Branch two:
% 204.08/161.90 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.08/161.90 |
% 204.08/161.90 | Applying alpha-rule on (6184) yields:
% 204.08/161.90 | (6185) ~ (all_562_1_40879 = 0)
% 204.08/161.90 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.08/161.90 |
% 204.08/161.90 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.08/161.90 | (6147) all_562_1_40879 = 0
% 204.08/161.90 |
% 204.08/161.90 | Equations (6147) can reduce 6185 to:
% 204.08/161.90 | (62) $false
% 204.08/161.90 |
% 204.08/161.90 |-The branch is then unsatisfiable
% 204.08/161.90 |-Branch two:
% 204.08/161.90 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 204.08/161.90 |
% 204.08/161.90 | Applying alpha-rule on (6257) yields:
% 204.08/161.90 | (6258) ~ (all_450_1_40846 = 0)
% 204.08/161.90 | (6259) environment(all_33_4_38) = all_450_1_40846
% 204.08/161.90 |
% 204.08/161.90 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 204.08/161.90 | (6260) all_450_1_40846 = 0
% 204.08/161.90 |
% 204.08/161.90 | Equations (6260) can reduce 6258 to:
% 204.08/161.90 | (62) $false
% 204.08/161.90 |
% 204.08/161.90 |-The branch is then unsatisfiable
% 204.08/161.90 |-Branch two:
% 204.08/161.90 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 204.08/161.90 |
% 204.08/161.90 | Applying alpha-rule on (6262) yields:
% 204.08/161.90 | (6115) all_449_0_40843 = 0
% 204.08/161.90 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 204.08/161.90 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 204.08/161.90 |
% 204.08/161.90 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.90 | (6118) all_449_1_40844 = all_33_1_35
% 204.08/161.90 |
% 204.08/161.90 | From (6118) and (6117) follows:
% 204.08/161.90 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.08/161.90 |
% 204.08/161.90 +-Applying beta-rule and splitting (6073), into two cases.
% 204.08/161.90 |-Branch one:
% 204.08/161.90 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 204.08/161.90 |
% 204.08/161.90 +-Applying beta-rule and splitting (6120), into two cases.
% 204.08/161.90 |-Branch one:
% 204.08/161.90 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.08/161.90 |
% 204.08/161.90 | Applying alpha-rule on (6121) yields:
% 204.08/161.90 | (6122) all_450_0_40845 = 0
% 204.08/161.90 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 204.08/161.90 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.08/161.90 |
% 204.08/161.90 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.90 | (6125) all_450_1_40846 = all_33_1_35
% 204.08/161.90 |
% 204.08/161.90 | From (6125) and (6124) follows:
% 204.08/161.90 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.08/161.90 |
% 204.08/161.90 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.08/161.90 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.08/161.90 |
% 204.08/161.90 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.08/161.90 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.08/161.90 |
% 204.08/161.90 | Instantiating (287) with all_783_0_42402 yields:
% 204.08/161.90 | (10093) (all_783_0_42402 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42402 = 0) & environment(all_33_4_38) = all_783_0_42402) | ( ~ (all_783_0_42402 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42402)
% 204.08/161.90 |
% 204.08/161.90 | Instantiating (6127) with all_784_0_42403, all_784_1_42404 yields:
% 204.08/161.90 | (10094) (all_784_0_42403 = 0 & greater_or_equal(all_784_1_42404, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42404) | (all_784_0_42403 = 0 & greater(all_33_1_35, all_784_1_42404) = 0 & end_time(all_33_4_38) = all_784_1_42404) | ( ~ (all_784_1_42404 = 0) & environment(all_33_4_38) = all_784_1_42404)
% 204.08/161.90 |
% 204.08/161.90 +-Applying beta-rule and splitting (10093), into two cases.
% 204.08/161.90 |-Branch one:
% 204.08/161.90 | (10095) (all_783_0_42402 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42402 = 0) & environment(all_33_4_38) = all_783_0_42402)
% 204.08/161.90 |
% 204.08/161.90 +-Applying beta-rule and splitting (10095), into two cases.
% 204.08/161.90 |-Branch one:
% 204.08/161.90 | (10096) all_783_0_42402 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.08/161.90 |
% 204.08/161.90 | Applying alpha-rule on (10096) yields:
% 204.08/161.90 | (10097) all_783_0_42402 = 0
% 204.08/161.90 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.08/161.90 |
% 204.08/161.90 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.08/161.90 | (109) all_33_0_34 = 0
% 204.08/161.90 |
% 204.08/161.90 | Equations (109) can reduce 72 to:
% 204.08/161.90 | (62) $false
% 204.08/161.90 |
% 204.08/161.90 |-The branch is then unsatisfiable
% 204.08/161.90 |-Branch two:
% 204.08/161.90 | (10101) ~ (all_783_0_42402 = 0) & environment(all_33_4_38) = all_783_0_42402
% 204.08/161.90 |
% 204.08/161.91 | Applying alpha-rule on (10101) yields:
% 204.08/161.91 | (10102) ~ (all_783_0_42402 = 0)
% 204.08/161.91 | (10103) environment(all_33_4_38) = all_783_0_42402
% 204.08/161.91 |
% 204.08/161.91 | Instantiating formula (35) with all_33_4_38, all_783_0_42402, 0 and discharging atoms environment(all_33_4_38) = all_783_0_42402, environment(all_33_4_38) = 0, yields:
% 204.08/161.91 | (10097) all_783_0_42402 = 0
% 204.08/161.91 |
% 204.08/161.91 | Equations (10097) can reduce 10102 to:
% 204.08/161.91 | (62) $false
% 204.08/161.91 |
% 204.08/161.91 |-The branch is then unsatisfiable
% 204.08/161.91 |-Branch two:
% 204.08/161.91 | (10106) ~ (all_783_0_42402 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42402
% 204.08/161.91 |
% 204.08/161.91 | Applying alpha-rule on (10106) yields:
% 204.08/161.91 | (10102) ~ (all_783_0_42402 = 0)
% 204.08/161.91 | (10108) in_environment(all_33_4_38, all_33_1_35) = all_783_0_42402
% 204.08/161.91 |
% 204.08/161.91 +-Applying beta-rule and splitting (6084), into two cases.
% 204.08/161.91 |-Branch one:
% 204.08/161.91 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.08/161.91 |
% 204.08/161.91 +-Applying beta-rule and splitting (6145), into two cases.
% 204.08/161.91 |-Branch one:
% 204.08/161.91 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.08/161.91 |
% 204.08/161.91 | Applying alpha-rule on (6146) yields:
% 204.08/161.91 | (6147) all_562_1_40879 = 0
% 204.08/161.91 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.08/161.91 |
% 204.08/161.91 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_42402 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_42402, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.08/161.91 | (10097) all_783_0_42402 = 0
% 204.08/161.91 |
% 204.08/161.91 | Equations (10097) can reduce 10102 to:
% 204.08/161.91 | (62) $false
% 204.08/161.91 |
% 204.08/161.91 |-The branch is then unsatisfiable
% 204.08/161.91 |-Branch two:
% 204.08/161.91 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.08/161.91 |
% 204.08/161.91 | Applying alpha-rule on (6151) yields:
% 204.08/161.91 | (6152) ~ (all_562_0_40878 = 0)
% 204.08/161.91 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.08/161.91 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.08/161.91 |
% 204.08/161.91 +-Applying beta-rule and splitting (10094), into two cases.
% 204.08/161.91 |-Branch one:
% 204.08/161.91 | (10119) (all_784_0_42403 = 0 & greater_or_equal(all_784_1_42404, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42404) | (all_784_0_42403 = 0 & greater(all_33_1_35, all_784_1_42404) = 0 & end_time(all_33_4_38) = all_784_1_42404)
% 204.08/161.91 |
% 204.08/161.91 +-Applying beta-rule and splitting (10119), into two cases.
% 204.08/161.91 |-Branch one:
% 204.08/161.91 | (10120) all_784_0_42403 = 0 & greater_or_equal(all_784_1_42404, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42404
% 204.08/161.91 |
% 204.08/161.91 | Applying alpha-rule on (10120) yields:
% 204.08/161.91 | (10121) all_784_0_42403 = 0
% 204.08/161.91 | (10122) greater_or_equal(all_784_1_42404, all_33_1_35) = 0
% 204.08/161.91 | (10123) end_time(all_33_4_38) = all_784_1_42404
% 204.08/161.91 |
% 204.08/161.91 | Instantiating formula (43) with all_33_4_38, all_784_1_42404, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42404, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.91 | (10124) all_784_1_42404 = all_33_1_35
% 204.08/161.91 |
% 204.08/161.91 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42404 and discharging atoms end_time(all_33_4_38) = all_784_1_42404, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.08/161.91 | (10125) all_784_1_42404 = all_562_1_40879
% 204.08/161.91 |
% 204.08/161.91 | Combining equations (10125,10124) yields a new equation:
% 204.08/161.91 | (6162) all_562_1_40879 = all_33_1_35
% 204.08/161.91 |
% 204.08/161.91 | Simplifying 6162 yields:
% 204.08/161.91 | (6163) all_562_1_40879 = all_33_1_35
% 204.08/161.91 |
% 204.08/161.91 | From (10124) and (10122) follows:
% 204.08/161.91 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.08/161.91 |
% 204.08/161.91 | From (6163) and (6153) follows:
% 204.08/161.91 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.08/161.91 |
% 204.08/161.91 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.08/161.91 | (6166) all_562_0_40878 = 0
% 204.08/161.92 |
% 204.08/161.92 | Equations (6166) can reduce 6152 to:
% 204.08/161.92 | (62) $false
% 204.08/161.92 |
% 204.08/161.92 |-The branch is then unsatisfiable
% 204.08/161.92 |-Branch two:
% 204.08/161.92 | (10132) all_784_0_42403 = 0 & greater(all_33_1_35, all_784_1_42404) = 0 & end_time(all_33_4_38) = all_784_1_42404
% 204.08/161.92 |
% 204.08/161.92 | Applying alpha-rule on (10132) yields:
% 204.08/161.92 | (10121) all_784_0_42403 = 0
% 204.08/161.92 | (10134) greater(all_33_1_35, all_784_1_42404) = 0
% 204.08/161.92 | (10123) end_time(all_33_4_38) = all_784_1_42404
% 204.08/161.92 |
% 204.08/161.92 | Instantiating formula (43) with all_33_4_38, all_784_1_42404, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42404, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.92 | (10124) all_784_1_42404 = all_33_1_35
% 204.08/161.92 |
% 204.08/161.92 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42404 and discharging atoms end_time(all_33_4_38) = all_784_1_42404, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.08/161.92 | (10125) all_784_1_42404 = all_562_1_40879
% 204.08/161.92 |
% 204.08/161.92 | Combining equations (10125,10124) yields a new equation:
% 204.08/161.92 | (6162) all_562_1_40879 = all_33_1_35
% 204.08/161.92 |
% 204.08/161.92 | Simplifying 6162 yields:
% 204.08/161.92 | (6163) all_562_1_40879 = all_33_1_35
% 204.08/161.92 |
% 204.08/161.92 | From (6163) and (6153) follows:
% 204.08/161.92 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.08/161.92 |
% 204.08/161.92 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.08/161.92 | (6166) all_562_0_40878 = 0
% 204.08/161.92 |
% 204.08/161.92 | Equations (6166) can reduce 6152 to:
% 204.08/161.92 | (62) $false
% 204.08/161.92 |
% 204.08/161.92 |-The branch is then unsatisfiable
% 204.08/161.92 |-Branch two:
% 204.08/161.92 | (10143) ~ (all_784_1_42404 = 0) & environment(all_33_4_38) = all_784_1_42404
% 204.08/161.92 |
% 204.08/161.92 | Applying alpha-rule on (10143) yields:
% 204.08/161.92 | (10144) ~ (all_784_1_42404 = 0)
% 204.08/161.92 | (10145) environment(all_33_4_38) = all_784_1_42404
% 204.08/161.92 |
% 204.08/161.92 | Instantiating formula (35) with all_33_4_38, all_784_1_42404, 0 and discharging atoms environment(all_33_4_38) = all_784_1_42404, environment(all_33_4_38) = 0, yields:
% 204.08/161.92 | (10146) all_784_1_42404 = 0
% 204.08/161.92 |
% 204.08/161.92 | Equations (10146) can reduce 10144 to:
% 204.08/161.92 | (62) $false
% 204.08/161.92 |
% 204.08/161.92 |-The branch is then unsatisfiable
% 204.08/161.92 |-Branch two:
% 204.08/161.92 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.08/161.92 |
% 204.08/161.92 | Applying alpha-rule on (6184) yields:
% 204.08/161.92 | (6185) ~ (all_562_1_40879 = 0)
% 204.08/161.92 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.08/161.92 |
% 204.08/161.92 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.08/161.92 | (6147) all_562_1_40879 = 0
% 204.08/161.92 |
% 204.08/161.92 | Equations (6147) can reduce 6185 to:
% 204.08/161.92 | (62) $false
% 204.08/161.92 |
% 204.08/161.92 |-The branch is then unsatisfiable
% 204.08/161.92 |-Branch two:
% 204.08/161.92 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.08/161.92 |
% 204.08/161.92 | Applying alpha-rule on (6189) yields:
% 204.08/161.92 | (6122) all_450_0_40845 = 0
% 204.08/161.92 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 204.08/161.92 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.08/161.92 |
% 204.08/161.92 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.92 | (6125) all_450_1_40846 = all_33_1_35
% 204.08/161.92 |
% 204.08/161.92 | From (6125) and (6124) follows:
% 204.08/161.92 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.08/161.92 |
% 204.08/161.92 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.08/161.92 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.08/161.92 |
% 204.08/161.92 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.08/161.92 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.08/161.92 |
% 204.08/161.92 | Instantiating (6127) with all_789_0_42443, all_789_1_42444 yields:
% 204.08/161.92 | (10161) (all_789_0_42443 = 0 & greater_or_equal(all_789_1_42444, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42444) | (all_789_0_42443 = 0 & greater(all_33_1_35, all_789_1_42444) = 0 & end_time(all_33_4_38) = all_789_1_42444) | ( ~ (all_789_1_42444 = 0) & environment(all_33_4_38) = all_789_1_42444)
% 204.08/161.92 |
% 204.08/161.92 | Instantiating (287) with all_790_0_42445 yields:
% 204.08/161.93 | (10162) (all_790_0_42445 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42445 = 0) & environment(all_33_4_38) = all_790_0_42445) | ( ~ (all_790_0_42445 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42445)
% 204.08/161.93 |
% 204.08/161.93 +-Applying beta-rule and splitting (10162), into two cases.
% 204.08/161.93 |-Branch one:
% 204.08/161.93 | (10163) (all_790_0_42445 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42445 = 0) & environment(all_33_4_38) = all_790_0_42445)
% 204.08/161.93 |
% 204.08/161.93 +-Applying beta-rule and splitting (10163), into two cases.
% 204.08/161.93 |-Branch one:
% 204.08/161.93 | (10164) all_790_0_42445 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.08/161.93 |
% 204.08/161.93 | Applying alpha-rule on (10164) yields:
% 204.08/161.93 | (10165) all_790_0_42445 = 0
% 204.08/161.93 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.08/161.93 |
% 204.08/161.93 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.08/161.93 | (109) all_33_0_34 = 0
% 204.08/161.93 |
% 204.08/161.93 | Equations (109) can reduce 72 to:
% 204.08/161.93 | (62) $false
% 204.08/161.93 |
% 204.08/161.93 |-The branch is then unsatisfiable
% 204.08/161.93 |-Branch two:
% 204.08/161.93 | (10169) ~ (all_790_0_42445 = 0) & environment(all_33_4_38) = all_790_0_42445
% 204.08/161.93 |
% 204.08/161.93 | Applying alpha-rule on (10169) yields:
% 204.08/161.93 | (10170) ~ (all_790_0_42445 = 0)
% 204.08/161.93 | (10171) environment(all_33_4_38) = all_790_0_42445
% 204.08/161.93 |
% 204.08/161.93 | Instantiating formula (35) with all_33_4_38, all_790_0_42445, 0 and discharging atoms environment(all_33_4_38) = all_790_0_42445, environment(all_33_4_38) = 0, yields:
% 204.08/161.93 | (10165) all_790_0_42445 = 0
% 204.08/161.93 |
% 204.08/161.93 | Equations (10165) can reduce 10170 to:
% 204.08/161.93 | (62) $false
% 204.08/161.93 |
% 204.08/161.93 |-The branch is then unsatisfiable
% 204.08/161.93 |-Branch two:
% 204.08/161.93 | (10174) ~ (all_790_0_42445 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42445
% 204.08/161.93 |
% 204.08/161.93 | Applying alpha-rule on (10174) yields:
% 204.08/161.93 | (10170) ~ (all_790_0_42445 = 0)
% 204.08/161.93 | (10176) in_environment(all_33_4_38, all_33_1_35) = all_790_0_42445
% 204.08/161.93 |
% 204.08/161.93 +-Applying beta-rule and splitting (6084), into two cases.
% 204.08/161.93 |-Branch one:
% 204.08/161.93 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.08/161.93 |
% 204.08/161.93 +-Applying beta-rule and splitting (6145), into two cases.
% 204.08/161.93 |-Branch one:
% 204.08/161.93 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.08/161.93 |
% 204.08/161.93 | Applying alpha-rule on (6146) yields:
% 204.08/161.93 | (6147) all_562_1_40879 = 0
% 204.08/161.93 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.08/161.93 |
% 204.08/161.93 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_42445 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_42445, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.08/161.93 | (10165) all_790_0_42445 = 0
% 204.08/161.93 |
% 204.08/161.93 | Equations (10165) can reduce 10170 to:
% 204.08/161.93 | (62) $false
% 204.08/161.93 |
% 204.08/161.93 |-The branch is then unsatisfiable
% 204.08/161.93 |-Branch two:
% 204.08/161.93 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.08/161.93 |
% 204.08/161.93 | Applying alpha-rule on (6151) yields:
% 204.08/161.93 | (6152) ~ (all_562_0_40878 = 0)
% 204.08/161.93 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.08/161.93 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.08/161.93 |
% 204.08/161.93 +-Applying beta-rule and splitting (10161), into two cases.
% 204.08/161.93 |-Branch one:
% 204.08/161.93 | (10187) (all_789_0_42443 = 0 & greater_or_equal(all_789_1_42444, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42444) | (all_789_0_42443 = 0 & greater(all_33_1_35, all_789_1_42444) = 0 & end_time(all_33_4_38) = all_789_1_42444)
% 204.08/161.93 |
% 204.08/161.93 +-Applying beta-rule and splitting (10187), into two cases.
% 204.08/161.93 |-Branch one:
% 204.08/161.93 | (10188) all_789_0_42443 = 0 & greater_or_equal(all_789_1_42444, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42444
% 204.08/161.93 |
% 204.08/161.93 | Applying alpha-rule on (10188) yields:
% 204.08/161.93 | (10189) all_789_0_42443 = 0
% 204.08/161.93 | (10190) greater_or_equal(all_789_1_42444, all_33_1_35) = 0
% 204.08/161.93 | (10191) end_time(all_33_4_38) = all_789_1_42444
% 204.08/161.93 |
% 204.08/161.93 | Instantiating formula (43) with all_33_4_38, all_789_1_42444, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42444, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.93 | (10192) all_789_1_42444 = all_33_1_35
% 204.08/161.93 |
% 204.08/161.93 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42444 and discharging atoms end_time(all_33_4_38) = all_789_1_42444, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.08/161.93 | (10193) all_789_1_42444 = all_562_1_40879
% 204.08/161.93 |
% 204.08/161.93 | Combining equations (10193,10192) yields a new equation:
% 204.08/161.93 | (6162) all_562_1_40879 = all_33_1_35
% 204.08/161.93 |
% 204.08/161.93 | Simplifying 6162 yields:
% 204.08/161.93 | (6163) all_562_1_40879 = all_33_1_35
% 204.08/161.93 |
% 204.08/161.93 | From (10192) and (10190) follows:
% 204.08/161.94 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.08/161.94 |
% 204.08/161.94 | From (6163) and (6153) follows:
% 204.08/161.94 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.08/161.94 |
% 204.08/161.94 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.08/161.94 | (6166) all_562_0_40878 = 0
% 204.08/161.94 |
% 204.08/161.94 | Equations (6166) can reduce 6152 to:
% 204.08/161.94 | (62) $false
% 204.08/161.94 |
% 204.08/161.94 |-The branch is then unsatisfiable
% 204.08/161.94 |-Branch two:
% 204.08/161.94 | (10200) all_789_0_42443 = 0 & greater(all_33_1_35, all_789_1_42444) = 0 & end_time(all_33_4_38) = all_789_1_42444
% 204.08/161.94 |
% 204.08/161.94 | Applying alpha-rule on (10200) yields:
% 204.08/161.94 | (10189) all_789_0_42443 = 0
% 204.08/161.94 | (10202) greater(all_33_1_35, all_789_1_42444) = 0
% 204.08/161.94 | (10191) end_time(all_33_4_38) = all_789_1_42444
% 204.08/161.94 |
% 204.08/161.94 | Instantiating formula (43) with all_33_4_38, all_789_1_42444, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42444, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.94 | (10192) all_789_1_42444 = all_33_1_35
% 204.08/161.94 |
% 204.08/161.94 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42444 and discharging atoms end_time(all_33_4_38) = all_789_1_42444, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.08/161.94 | (10193) all_789_1_42444 = all_562_1_40879
% 204.08/161.94 |
% 204.08/161.94 | Combining equations (10193,10192) yields a new equation:
% 204.08/161.94 | (6162) all_562_1_40879 = all_33_1_35
% 204.08/161.94 |
% 204.08/161.94 | Simplifying 6162 yields:
% 204.08/161.94 | (6163) all_562_1_40879 = all_33_1_35
% 204.08/161.94 |
% 204.08/161.94 | From (6163) and (6153) follows:
% 204.08/161.94 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.08/161.94 |
% 204.08/161.94 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.08/161.94 | (6166) all_562_0_40878 = 0
% 204.08/161.94 |
% 204.08/161.94 | Equations (6166) can reduce 6152 to:
% 204.08/161.94 | (62) $false
% 204.08/161.94 |
% 204.08/161.94 |-The branch is then unsatisfiable
% 204.08/161.94 |-Branch two:
% 204.08/161.94 | (10211) ~ (all_789_1_42444 = 0) & environment(all_33_4_38) = all_789_1_42444
% 204.08/161.94 |
% 204.08/161.94 | Applying alpha-rule on (10211) yields:
% 204.08/161.94 | (10212) ~ (all_789_1_42444 = 0)
% 204.08/161.94 | (10213) environment(all_33_4_38) = all_789_1_42444
% 204.08/161.94 |
% 204.08/161.94 | Instantiating formula (35) with all_33_4_38, all_789_1_42444, 0 and discharging atoms environment(all_33_4_38) = all_789_1_42444, environment(all_33_4_38) = 0, yields:
% 204.08/161.94 | (10214) all_789_1_42444 = 0
% 204.08/161.94 |
% 204.08/161.94 | Equations (10214) can reduce 10212 to:
% 204.08/161.94 | (62) $false
% 204.08/161.94 |
% 204.08/161.94 |-The branch is then unsatisfiable
% 204.08/161.94 |-Branch two:
% 204.08/161.94 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.08/161.94 |
% 204.08/161.94 | Applying alpha-rule on (6184) yields:
% 204.08/161.94 | (6185) ~ (all_562_1_40879 = 0)
% 204.08/161.94 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.08/161.94 |
% 204.08/161.94 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.08/161.94 | (6147) all_562_1_40879 = 0
% 204.08/161.94 |
% 204.08/161.94 | Equations (6147) can reduce 6185 to:
% 204.08/161.94 | (62) $false
% 204.08/161.94 |
% 204.08/161.94 |-The branch is then unsatisfiable
% 204.08/161.94 |-Branch two:
% 204.08/161.94 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 204.08/161.94 |
% 204.08/161.94 | Applying alpha-rule on (6257) yields:
% 204.08/161.94 | (6258) ~ (all_450_1_40846 = 0)
% 204.08/161.94 | (6259) environment(all_33_4_38) = all_450_1_40846
% 204.08/161.94 |
% 204.08/161.94 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 204.08/161.94 | (6260) all_450_1_40846 = 0
% 204.08/161.94 |
% 204.08/161.94 | Equations (6260) can reduce 6258 to:
% 204.08/161.94 | (62) $false
% 204.08/161.94 |
% 204.08/161.94 |-The branch is then unsatisfiable
% 204.08/161.94 |-Branch two:
% 204.08/161.94 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 204.08/161.94 |
% 204.08/161.94 | Applying alpha-rule on (6410) yields:
% 204.08/161.94 | (6411) ~ (all_449_1_40844 = 0)
% 204.08/161.95 | (6412) environment(all_33_4_38) = all_449_1_40844
% 204.08/161.95 |
% 204.08/161.95 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 204.08/161.95 | (6413) all_449_1_40844 = 0
% 204.08/161.95 |
% 204.08/161.95 | Equations (6413) can reduce 6411 to:
% 204.08/161.95 | (62) $false
% 204.08/161.95 |
% 204.08/161.95 |-The branch is then unsatisfiable
% 204.08/161.95 |-Branch two:
% 204.08/161.95 | (6415) all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 204.08/161.95 |
% 204.08/161.95 | Applying alpha-rule on (6415) yields:
% 204.08/161.95 | (6108) all_448_0_40841 = 0
% 204.08/161.95 | (6417) greater(all_114_2_98, all_448_1_40842) = 0
% 204.08/161.95 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 204.08/161.95 |
% 204.08/161.95 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.95 | (6111) all_448_1_40842 = all_33_1_35
% 204.08/161.95 |
% 204.08/161.95 | From (6111) and (6110) follows:
% 204.08/161.95 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.08/161.95 |
% 204.08/161.95 +-Applying beta-rule and splitting (6072), into two cases.
% 204.08/161.95 |-Branch one:
% 204.08/161.95 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 204.08/161.95 |
% 204.08/161.95 +-Applying beta-rule and splitting (6113), into two cases.
% 204.08/161.95 |-Branch one:
% 204.08/161.95 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 204.08/161.95 |
% 204.08/161.95 | Applying alpha-rule on (6114) yields:
% 204.08/161.95 | (6115) all_449_0_40843 = 0
% 204.08/161.95 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 204.08/161.95 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 204.08/161.95 |
% 204.08/161.95 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.95 | (6118) all_449_1_40844 = all_33_1_35
% 204.08/161.95 |
% 204.08/161.95 | From (6118) and (6117) follows:
% 204.08/161.95 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.08/161.95 |
% 204.08/161.95 +-Applying beta-rule and splitting (6073), into two cases.
% 204.08/161.95 |-Branch one:
% 204.08/161.95 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 204.08/161.95 |
% 204.08/161.95 +-Applying beta-rule and splitting (6120), into two cases.
% 204.08/161.95 |-Branch one:
% 204.08/161.95 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.08/161.95 |
% 204.08/161.95 | Applying alpha-rule on (6121) yields:
% 204.08/161.95 | (6122) all_450_0_40845 = 0
% 204.08/161.95 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 204.08/161.95 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.08/161.95 |
% 204.08/161.95 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.95 | (6125) all_450_1_40846 = all_33_1_35
% 204.08/161.95 |
% 204.08/161.95 | From (6125) and (6124) follows:
% 204.08/161.95 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.08/161.95 |
% 204.08/161.95 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.08/161.95 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.08/161.95 |
% 204.08/161.95 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.08/161.95 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.08/161.95 |
% 204.08/161.95 | Instantiating (287) with all_783_0_42462 yields:
% 204.08/161.95 | (10253) (all_783_0_42462 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42462 = 0) & environment(all_33_4_38) = all_783_0_42462) | ( ~ (all_783_0_42462 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42462)
% 204.08/161.95 |
% 204.08/161.95 | Instantiating (6127) with all_784_0_42463, all_784_1_42464 yields:
% 204.08/161.95 | (10254) (all_784_0_42463 = 0 & greater_or_equal(all_784_1_42464, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42464) | (all_784_0_42463 = 0 & greater(all_33_1_35, all_784_1_42464) = 0 & end_time(all_33_4_38) = all_784_1_42464) | ( ~ (all_784_1_42464 = 0) & environment(all_33_4_38) = all_784_1_42464)
% 204.08/161.95 |
% 204.08/161.95 +-Applying beta-rule and splitting (10253), into two cases.
% 204.08/161.95 |-Branch one:
% 204.08/161.95 | (10255) (all_783_0_42462 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42462 = 0) & environment(all_33_4_38) = all_783_0_42462)
% 204.08/161.95 |
% 204.08/161.95 +-Applying beta-rule and splitting (10255), into two cases.
% 204.08/161.95 |-Branch one:
% 204.08/161.95 | (10256) all_783_0_42462 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.08/161.95 |
% 204.08/161.95 | Applying alpha-rule on (10256) yields:
% 204.08/161.95 | (10257) all_783_0_42462 = 0
% 204.08/161.95 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.08/161.95 |
% 204.08/161.95 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.08/161.95 | (109) all_33_0_34 = 0
% 204.08/161.95 |
% 204.08/161.95 | Equations (109) can reduce 72 to:
% 204.08/161.95 | (62) $false
% 204.08/161.95 |
% 204.08/161.95 |-The branch is then unsatisfiable
% 204.08/161.95 |-Branch two:
% 204.08/161.95 | (10261) ~ (all_783_0_42462 = 0) & environment(all_33_4_38) = all_783_0_42462
% 204.08/161.95 |
% 204.08/161.95 | Applying alpha-rule on (10261) yields:
% 204.08/161.95 | (10262) ~ (all_783_0_42462 = 0)
% 204.08/161.95 | (10263) environment(all_33_4_38) = all_783_0_42462
% 204.08/161.95 |
% 204.08/161.95 | Instantiating formula (35) with all_33_4_38, all_783_0_42462, 0 and discharging atoms environment(all_33_4_38) = all_783_0_42462, environment(all_33_4_38) = 0, yields:
% 204.08/161.95 | (10257) all_783_0_42462 = 0
% 204.08/161.95 |
% 204.08/161.95 | Equations (10257) can reduce 10262 to:
% 204.08/161.95 | (62) $false
% 204.08/161.95 |
% 204.08/161.95 |-The branch is then unsatisfiable
% 204.08/161.95 |-Branch two:
% 204.08/161.95 | (10266) ~ (all_783_0_42462 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42462
% 204.08/161.95 |
% 204.08/161.95 | Applying alpha-rule on (10266) yields:
% 204.08/161.96 | (10262) ~ (all_783_0_42462 = 0)
% 204.08/161.96 | (10268) in_environment(all_33_4_38, all_33_1_35) = all_783_0_42462
% 204.08/161.96 |
% 204.08/161.96 +-Applying beta-rule and splitting (6084), into two cases.
% 204.08/161.96 |-Branch one:
% 204.08/161.96 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.08/161.96 |
% 204.08/161.96 +-Applying beta-rule and splitting (6145), into two cases.
% 204.08/161.96 |-Branch one:
% 204.08/161.96 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.08/161.96 |
% 204.08/161.96 | Applying alpha-rule on (6146) yields:
% 204.08/161.96 | (6147) all_562_1_40879 = 0
% 204.08/161.96 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.08/161.96 |
% 204.08/161.96 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_42462 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_42462, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.08/161.96 | (10257) all_783_0_42462 = 0
% 204.08/161.96 |
% 204.08/161.96 | Equations (10257) can reduce 10262 to:
% 204.08/161.96 | (62) $false
% 204.08/161.96 |
% 204.08/161.96 |-The branch is then unsatisfiable
% 204.08/161.96 |-Branch two:
% 204.08/161.96 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.08/161.96 |
% 204.08/161.96 | Applying alpha-rule on (6151) yields:
% 204.08/161.96 | (6152) ~ (all_562_0_40878 = 0)
% 204.08/161.96 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.08/161.96 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.08/161.96 |
% 204.08/161.96 +-Applying beta-rule and splitting (10254), into two cases.
% 204.08/161.96 |-Branch one:
% 204.08/161.96 | (10279) (all_784_0_42463 = 0 & greater_or_equal(all_784_1_42464, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42464) | (all_784_0_42463 = 0 & greater(all_33_1_35, all_784_1_42464) = 0 & end_time(all_33_4_38) = all_784_1_42464)
% 204.08/161.96 |
% 204.08/161.96 +-Applying beta-rule and splitting (10279), into two cases.
% 204.08/161.96 |-Branch one:
% 204.08/161.96 | (10280) all_784_0_42463 = 0 & greater_or_equal(all_784_1_42464, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42464
% 204.08/161.96 |
% 204.08/161.96 | Applying alpha-rule on (10280) yields:
% 204.08/161.96 | (10281) all_784_0_42463 = 0
% 204.08/161.96 | (10282) greater_or_equal(all_784_1_42464, all_33_1_35) = 0
% 204.08/161.96 | (10283) end_time(all_33_4_38) = all_784_1_42464
% 204.08/161.96 |
% 204.08/161.96 | Instantiating formula (43) with all_33_4_38, all_784_1_42464, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42464, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.96 | (10284) all_784_1_42464 = all_33_1_35
% 204.08/161.96 |
% 204.08/161.96 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42464 and discharging atoms end_time(all_33_4_38) = all_784_1_42464, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.08/161.96 | (10285) all_784_1_42464 = all_562_1_40879
% 204.08/161.96 |
% 204.08/161.96 | Combining equations (10285,10284) yields a new equation:
% 204.08/161.96 | (6162) all_562_1_40879 = all_33_1_35
% 204.08/161.96 |
% 204.08/161.96 | Simplifying 6162 yields:
% 204.08/161.96 | (6163) all_562_1_40879 = all_33_1_35
% 204.08/161.96 |
% 204.08/161.96 | From (10284) and (10282) follows:
% 204.08/161.96 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.08/161.96 |
% 204.08/161.96 | From (6163) and (6153) follows:
% 204.08/161.96 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.08/161.96 |
% 204.08/161.96 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.08/161.96 | (6166) all_562_0_40878 = 0
% 204.08/161.96 |
% 204.08/161.96 | Equations (6166) can reduce 6152 to:
% 204.08/161.96 | (62) $false
% 204.08/161.96 |
% 204.08/161.96 |-The branch is then unsatisfiable
% 204.08/161.96 |-Branch two:
% 204.08/161.96 | (10292) all_784_0_42463 = 0 & greater(all_33_1_35, all_784_1_42464) = 0 & end_time(all_33_4_38) = all_784_1_42464
% 204.08/161.96 |
% 204.08/161.96 | Applying alpha-rule on (10292) yields:
% 204.08/161.96 | (10281) all_784_0_42463 = 0
% 204.08/161.96 | (10294) greater(all_33_1_35, all_784_1_42464) = 0
% 204.08/161.96 | (10283) end_time(all_33_4_38) = all_784_1_42464
% 204.08/161.96 |
% 204.08/161.96 | Instantiating formula (43) with all_33_4_38, all_784_1_42464, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42464, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.96 | (10284) all_784_1_42464 = all_33_1_35
% 204.08/161.96 |
% 204.08/161.96 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42464 and discharging atoms end_time(all_33_4_38) = all_784_1_42464, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.08/161.96 | (10285) all_784_1_42464 = all_562_1_40879
% 204.08/161.96 |
% 204.08/161.96 | Combining equations (10285,10284) yields a new equation:
% 204.08/161.96 | (6162) all_562_1_40879 = all_33_1_35
% 204.08/161.96 |
% 204.08/161.96 | Simplifying 6162 yields:
% 204.08/161.96 | (6163) all_562_1_40879 = all_33_1_35
% 204.08/161.96 |
% 204.08/161.96 | From (6163) and (6153) follows:
% 204.08/161.97 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.08/161.97 |
% 204.08/161.97 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.08/161.97 | (6166) all_562_0_40878 = 0
% 204.08/161.97 |
% 204.08/161.97 | Equations (6166) can reduce 6152 to:
% 204.08/161.97 | (62) $false
% 204.08/161.97 |
% 204.08/161.97 |-The branch is then unsatisfiable
% 204.08/161.97 |-Branch two:
% 204.08/161.97 | (10303) ~ (all_784_1_42464 = 0) & environment(all_33_4_38) = all_784_1_42464
% 204.08/161.97 |
% 204.08/161.97 | Applying alpha-rule on (10303) yields:
% 204.08/161.97 | (10304) ~ (all_784_1_42464 = 0)
% 204.08/161.97 | (10305) environment(all_33_4_38) = all_784_1_42464
% 204.08/161.97 |
% 204.08/161.97 | Instantiating formula (35) with all_33_4_38, all_784_1_42464, 0 and discharging atoms environment(all_33_4_38) = all_784_1_42464, environment(all_33_4_38) = 0, yields:
% 204.08/161.97 | (10306) all_784_1_42464 = 0
% 204.08/161.97 |
% 204.08/161.97 | Equations (10306) can reduce 10304 to:
% 204.08/161.97 | (62) $false
% 204.08/161.97 |
% 204.08/161.97 |-The branch is then unsatisfiable
% 204.08/161.97 |-Branch two:
% 204.08/161.97 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.08/161.97 |
% 204.08/161.97 | Applying alpha-rule on (6184) yields:
% 204.08/161.97 | (6185) ~ (all_562_1_40879 = 0)
% 204.08/161.97 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.08/161.97 |
% 204.08/161.97 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.08/161.97 | (6147) all_562_1_40879 = 0
% 204.08/161.97 |
% 204.08/161.97 | Equations (6147) can reduce 6185 to:
% 204.08/161.97 | (62) $false
% 204.08/161.97 |
% 204.08/161.97 |-The branch is then unsatisfiable
% 204.08/161.97 |-Branch two:
% 204.08/161.97 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.08/161.97 |
% 204.08/161.97 | Applying alpha-rule on (6189) yields:
% 204.08/161.97 | (6122) all_450_0_40845 = 0
% 204.08/161.97 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 204.08/161.97 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.08/161.97 |
% 204.08/161.97 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.08/161.97 | (6125) all_450_1_40846 = all_33_1_35
% 204.08/161.97 |
% 204.08/161.97 | From (6125) and (6124) follows:
% 204.08/161.97 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.08/161.97 |
% 204.08/161.97 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.08/161.97 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.08/161.97 |
% 204.08/161.97 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.08/161.97 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.08/161.97 |
% 204.08/161.97 | Instantiating (6127) with all_789_0_42503, all_789_1_42504 yields:
% 204.08/161.97 | (10321) (all_789_0_42503 = 0 & greater_or_equal(all_789_1_42504, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42504) | (all_789_0_42503 = 0 & greater(all_33_1_35, all_789_1_42504) = 0 & end_time(all_33_4_38) = all_789_1_42504) | ( ~ (all_789_1_42504 = 0) & environment(all_33_4_38) = all_789_1_42504)
% 204.08/161.97 |
% 204.08/161.97 | Instantiating (287) with all_790_0_42505 yields:
% 204.08/161.97 | (10322) (all_790_0_42505 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42505 = 0) & environment(all_33_4_38) = all_790_0_42505) | ( ~ (all_790_0_42505 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42505)
% 204.08/161.97 |
% 204.08/161.97 +-Applying beta-rule and splitting (10322), into two cases.
% 204.08/161.97 |-Branch one:
% 204.08/161.97 | (10323) (all_790_0_42505 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42505 = 0) & environment(all_33_4_38) = all_790_0_42505)
% 204.08/161.97 |
% 204.08/161.97 +-Applying beta-rule and splitting (10323), into two cases.
% 204.08/161.97 |-Branch one:
% 204.08/161.97 | (10324) all_790_0_42505 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.08/161.97 |
% 204.08/161.97 | Applying alpha-rule on (10324) yields:
% 204.08/161.97 | (10325) all_790_0_42505 = 0
% 204.08/161.97 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.08/161.97 |
% 204.08/161.97 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.08/161.97 | (109) all_33_0_34 = 0
% 204.08/161.97 |
% 204.08/161.97 | Equations (109) can reduce 72 to:
% 204.08/161.97 | (62) $false
% 204.08/161.97 |
% 204.08/161.97 |-The branch is then unsatisfiable
% 204.08/161.97 |-Branch two:
% 204.08/161.97 | (10329) ~ (all_790_0_42505 = 0) & environment(all_33_4_38) = all_790_0_42505
% 204.08/161.97 |
% 204.08/161.97 | Applying alpha-rule on (10329) yields:
% 204.08/161.97 | (10330) ~ (all_790_0_42505 = 0)
% 204.08/161.97 | (10331) environment(all_33_4_38) = all_790_0_42505
% 204.08/161.97 |
% 204.08/161.97 | Instantiating formula (35) with all_33_4_38, all_790_0_42505, 0 and discharging atoms environment(all_33_4_38) = all_790_0_42505, environment(all_33_4_38) = 0, yields:
% 204.08/161.97 | (10325) all_790_0_42505 = 0
% 204.08/161.97 |
% 204.08/161.97 | Equations (10325) can reduce 10330 to:
% 204.08/161.97 | (62) $false
% 204.08/161.97 |
% 204.08/161.97 |-The branch is then unsatisfiable
% 204.08/161.97 |-Branch two:
% 204.08/161.98 | (10334) ~ (all_790_0_42505 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42505
% 204.08/161.98 |
% 204.08/161.98 | Applying alpha-rule on (10334) yields:
% 204.08/161.98 | (10330) ~ (all_790_0_42505 = 0)
% 204.08/161.98 | (10336) in_environment(all_33_4_38, all_33_1_35) = all_790_0_42505
% 204.08/161.98 |
% 204.08/161.98 +-Applying beta-rule and splitting (6084), into two cases.
% 204.08/161.98 |-Branch one:
% 204.08/161.98 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.08/161.98 |
% 204.08/161.98 +-Applying beta-rule and splitting (6145), into two cases.
% 204.08/161.98 |-Branch one:
% 204.08/161.98 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.08/161.98 |
% 204.08/161.98 | Applying alpha-rule on (6146) yields:
% 204.08/161.98 | (6147) all_562_1_40879 = 0
% 204.08/161.98 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.08/161.98 |
% 204.08/161.98 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_42505 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_42505, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.08/161.98 | (10325) all_790_0_42505 = 0
% 204.08/161.98 |
% 204.08/161.98 | Equations (10325) can reduce 10330 to:
% 204.08/161.98 | (62) $false
% 204.08/161.98 |
% 204.08/161.98 |-The branch is then unsatisfiable
% 204.08/161.98 |-Branch two:
% 204.08/161.98 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.08/161.98 |
% 204.08/161.98 | Applying alpha-rule on (6151) yields:
% 204.08/161.98 | (6152) ~ (all_562_0_40878 = 0)
% 204.08/161.98 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.18/161.98 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.18/161.98 |
% 204.18/161.98 +-Applying beta-rule and splitting (10321), into two cases.
% 204.18/161.98 |-Branch one:
% 204.18/161.98 | (10347) (all_789_0_42503 = 0 & greater_or_equal(all_789_1_42504, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42504) | (all_789_0_42503 = 0 & greater(all_33_1_35, all_789_1_42504) = 0 & end_time(all_33_4_38) = all_789_1_42504)
% 204.18/161.98 |
% 204.18/161.98 +-Applying beta-rule and splitting (10347), into two cases.
% 204.18/161.98 |-Branch one:
% 204.18/161.98 | (10348) all_789_0_42503 = 0 & greater_or_equal(all_789_1_42504, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42504
% 204.18/161.98 |
% 204.18/161.98 | Applying alpha-rule on (10348) yields:
% 204.18/161.98 | (10349) all_789_0_42503 = 0
% 204.18/161.98 | (10350) greater_or_equal(all_789_1_42504, all_33_1_35) = 0
% 204.18/161.98 | (10351) end_time(all_33_4_38) = all_789_1_42504
% 204.18/161.98 |
% 204.18/161.98 | Instantiating formula (43) with all_33_4_38, all_789_1_42504, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42504, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.18/161.98 | (10352) all_789_1_42504 = all_33_1_35
% 204.18/161.98 |
% 204.18/161.98 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42504 and discharging atoms end_time(all_33_4_38) = all_789_1_42504, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.18/161.98 | (10353) all_789_1_42504 = all_562_1_40879
% 204.18/161.98 |
% 204.18/161.98 | Combining equations (10353,10352) yields a new equation:
% 204.18/161.98 | (6162) all_562_1_40879 = all_33_1_35
% 204.18/161.98 |
% 204.18/161.98 | Simplifying 6162 yields:
% 204.18/161.98 | (6163) all_562_1_40879 = all_33_1_35
% 204.18/161.98 |
% 204.18/161.98 | From (10352) and (10350) follows:
% 204.18/161.98 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.18/161.98 |
% 204.18/161.98 | From (6163) and (6153) follows:
% 204.18/161.98 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.18/161.98 |
% 204.18/161.98 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.18/161.98 | (6166) all_562_0_40878 = 0
% 204.18/161.98 |
% 204.18/161.98 | Equations (6166) can reduce 6152 to:
% 204.18/161.98 | (62) $false
% 204.18/161.98 |
% 204.18/161.98 |-The branch is then unsatisfiable
% 204.18/161.98 |-Branch two:
% 204.18/161.98 | (10360) all_789_0_42503 = 0 & greater(all_33_1_35, all_789_1_42504) = 0 & end_time(all_33_4_38) = all_789_1_42504
% 204.18/161.98 |
% 204.18/161.98 | Applying alpha-rule on (10360) yields:
% 204.18/161.98 | (10349) all_789_0_42503 = 0
% 204.18/161.98 | (10362) greater(all_33_1_35, all_789_1_42504) = 0
% 204.18/161.98 | (10351) end_time(all_33_4_38) = all_789_1_42504
% 204.18/161.98 |
% 204.18/161.98 | Instantiating formula (43) with all_33_4_38, all_789_1_42504, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42504, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.18/161.98 | (10352) all_789_1_42504 = all_33_1_35
% 204.18/161.98 |
% 204.18/161.98 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42504 and discharging atoms end_time(all_33_4_38) = all_789_1_42504, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.18/161.99 | (10353) all_789_1_42504 = all_562_1_40879
% 204.18/161.99 |
% 204.18/161.99 | Combining equations (10353,10352) yields a new equation:
% 204.18/161.99 | (6162) all_562_1_40879 = all_33_1_35
% 204.18/161.99 |
% 204.18/161.99 | Simplifying 6162 yields:
% 204.18/161.99 | (6163) all_562_1_40879 = all_33_1_35
% 204.18/161.99 |
% 204.18/161.99 | From (6163) and (6153) follows:
% 204.18/161.99 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.18/161.99 |
% 204.18/161.99 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.18/161.99 | (6166) all_562_0_40878 = 0
% 204.18/161.99 |
% 204.18/161.99 | Equations (6166) can reduce 6152 to:
% 204.18/161.99 | (62) $false
% 204.18/161.99 |
% 204.18/161.99 |-The branch is then unsatisfiable
% 204.18/161.99 |-Branch two:
% 204.18/161.99 | (10371) ~ (all_789_1_42504 = 0) & environment(all_33_4_38) = all_789_1_42504
% 204.18/161.99 |
% 204.18/161.99 | Applying alpha-rule on (10371) yields:
% 204.18/161.99 | (10372) ~ (all_789_1_42504 = 0)
% 204.18/161.99 | (10373) environment(all_33_4_38) = all_789_1_42504
% 204.18/161.99 |
% 204.18/161.99 | Instantiating formula (35) with all_33_4_38, all_789_1_42504, 0 and discharging atoms environment(all_33_4_38) = all_789_1_42504, environment(all_33_4_38) = 0, yields:
% 204.18/161.99 | (10374) all_789_1_42504 = 0
% 204.18/161.99 |
% 204.18/161.99 | Equations (10374) can reduce 10372 to:
% 204.18/161.99 | (62) $false
% 204.18/161.99 |
% 204.18/161.99 |-The branch is then unsatisfiable
% 204.18/161.99 |-Branch two:
% 204.18/161.99 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.18/161.99 |
% 204.18/161.99 | Applying alpha-rule on (6184) yields:
% 204.18/161.99 | (6185) ~ (all_562_1_40879 = 0)
% 204.18/161.99 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.18/161.99 |
% 204.18/161.99 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.18/161.99 | (6147) all_562_1_40879 = 0
% 204.18/161.99 |
% 204.18/161.99 | Equations (6147) can reduce 6185 to:
% 204.18/161.99 | (62) $false
% 204.18/161.99 |
% 204.18/161.99 |-The branch is then unsatisfiable
% 204.18/161.99 |-Branch two:
% 204.18/161.99 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 204.18/161.99 |
% 204.18/161.99 | Applying alpha-rule on (6257) yields:
% 204.18/161.99 | (6258) ~ (all_450_1_40846 = 0)
% 204.18/161.99 | (6259) environment(all_33_4_38) = all_450_1_40846
% 204.18/161.99 |
% 204.18/161.99 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 204.18/161.99 | (6260) all_450_1_40846 = 0
% 204.18/161.99 |
% 204.18/161.99 | Equations (6260) can reduce 6258 to:
% 204.18/161.99 | (62) $false
% 204.18/161.99 |
% 204.18/161.99 |-The branch is then unsatisfiable
% 204.18/161.99 |-Branch two:
% 204.18/161.99 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 204.18/161.99 |
% 204.18/161.99 | Applying alpha-rule on (6262) yields:
% 204.18/161.99 | (6115) all_449_0_40843 = 0
% 204.18/161.99 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 204.18/161.99 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 204.18/161.99 |
% 204.18/161.99 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.18/161.99 | (6118) all_449_1_40844 = all_33_1_35
% 204.18/161.99 |
% 204.18/161.99 | From (6118) and (6117) follows:
% 204.18/161.99 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.18/161.99 |
% 204.18/161.99 +-Applying beta-rule and splitting (6073), into two cases.
% 204.18/161.99 |-Branch one:
% 204.18/161.99 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 204.18/161.99 |
% 204.18/161.99 +-Applying beta-rule and splitting (6120), into two cases.
% 204.18/161.99 |-Branch one:
% 204.18/161.99 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.18/161.99 |
% 204.18/161.99 | Applying alpha-rule on (6121) yields:
% 204.18/161.99 | (6122) all_450_0_40845 = 0
% 204.18/161.99 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 204.20/161.99 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.20/161.99 |
% 204.20/161.99 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.20/161.99 | (6125) all_450_1_40846 = all_33_1_35
% 204.20/161.99 |
% 204.20/161.99 | From (6125) and (6124) follows:
% 204.20/161.99 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.20/161.99 |
% 204.20/161.99 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.20/161.99 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.20/161.99 |
% 204.20/161.99 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.20/161.99 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.20/161.99 |
% 204.20/161.99 | Instantiating (6127) with all_789_0_42533, all_789_1_42534 yields:
% 204.20/161.99 | (10401) (all_789_0_42533 = 0 & greater_or_equal(all_789_1_42534, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42534) | (all_789_0_42533 = 0 & greater(all_33_1_35, all_789_1_42534) = 0 & end_time(all_33_4_38) = all_789_1_42534) | ( ~ (all_789_1_42534 = 0) & environment(all_33_4_38) = all_789_1_42534)
% 204.20/162.00 |
% 204.20/162.00 | Instantiating (287) with all_790_0_42535 yields:
% 204.20/162.00 | (10402) (all_790_0_42535 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42535 = 0) & environment(all_33_4_38) = all_790_0_42535) | ( ~ (all_790_0_42535 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42535)
% 204.20/162.00 |
% 204.20/162.00 +-Applying beta-rule and splitting (10402), into two cases.
% 204.20/162.00 |-Branch one:
% 204.20/162.00 | (10403) (all_790_0_42535 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42535 = 0) & environment(all_33_4_38) = all_790_0_42535)
% 204.20/162.00 |
% 204.20/162.00 +-Applying beta-rule and splitting (10403), into two cases.
% 204.20/162.00 |-Branch one:
% 204.20/162.00 | (10404) all_790_0_42535 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.20/162.00 |
% 204.20/162.00 | Applying alpha-rule on (10404) yields:
% 204.20/162.00 | (10405) all_790_0_42535 = 0
% 204.20/162.00 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.20/162.00 |
% 204.20/162.00 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.20/162.00 | (109) all_33_0_34 = 0
% 204.20/162.00 |
% 204.20/162.00 | Equations (109) can reduce 72 to:
% 204.20/162.00 | (62) $false
% 204.20/162.00 |
% 204.20/162.00 |-The branch is then unsatisfiable
% 204.20/162.00 |-Branch two:
% 204.20/162.00 | (10409) ~ (all_790_0_42535 = 0) & environment(all_33_4_38) = all_790_0_42535
% 204.20/162.00 |
% 204.20/162.00 | Applying alpha-rule on (10409) yields:
% 204.20/162.00 | (10410) ~ (all_790_0_42535 = 0)
% 204.20/162.00 | (10411) environment(all_33_4_38) = all_790_0_42535
% 204.20/162.00 |
% 204.20/162.00 | Instantiating formula (35) with all_33_4_38, all_790_0_42535, 0 and discharging atoms environment(all_33_4_38) = all_790_0_42535, environment(all_33_4_38) = 0, yields:
% 204.20/162.00 | (10405) all_790_0_42535 = 0
% 204.20/162.00 |
% 204.20/162.00 | Equations (10405) can reduce 10410 to:
% 204.20/162.00 | (62) $false
% 204.20/162.00 |
% 204.20/162.00 |-The branch is then unsatisfiable
% 204.20/162.00 |-Branch two:
% 204.20/162.00 | (10414) ~ (all_790_0_42535 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42535
% 204.20/162.00 |
% 204.20/162.00 | Applying alpha-rule on (10414) yields:
% 204.20/162.00 | (10410) ~ (all_790_0_42535 = 0)
% 204.20/162.00 | (10416) in_environment(all_33_4_38, all_33_1_35) = all_790_0_42535
% 204.20/162.00 |
% 204.20/162.00 +-Applying beta-rule and splitting (6084), into two cases.
% 204.20/162.00 |-Branch one:
% 204.20/162.00 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.20/162.00 |
% 204.20/162.00 +-Applying beta-rule and splitting (6145), into two cases.
% 204.20/162.00 |-Branch one:
% 204.20/162.00 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.20/162.00 |
% 204.20/162.00 | Applying alpha-rule on (6146) yields:
% 204.20/162.00 | (6147) all_562_1_40879 = 0
% 204.20/162.00 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.20/162.00 |
% 204.20/162.00 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_42535 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_42535, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.20/162.00 | (10405) all_790_0_42535 = 0
% 204.20/162.00 |
% 204.20/162.00 | Equations (10405) can reduce 10410 to:
% 204.20/162.00 | (62) $false
% 204.20/162.00 |
% 204.20/162.00 |-The branch is then unsatisfiable
% 204.20/162.00 |-Branch two:
% 204.20/162.00 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.20/162.00 |
% 204.20/162.00 | Applying alpha-rule on (6151) yields:
% 204.20/162.00 | (6152) ~ (all_562_0_40878 = 0)
% 204.20/162.00 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.20/162.00 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.20/162.00 |
% 204.20/162.00 +-Applying beta-rule and splitting (10401), into two cases.
% 204.20/162.00 |-Branch one:
% 204.20/162.00 | (10427) (all_789_0_42533 = 0 & greater_or_equal(all_789_1_42534, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42534) | (all_789_0_42533 = 0 & greater(all_33_1_35, all_789_1_42534) = 0 & end_time(all_33_4_38) = all_789_1_42534)
% 204.20/162.00 |
% 204.20/162.00 +-Applying beta-rule and splitting (10427), into two cases.
% 204.20/162.00 |-Branch one:
% 204.20/162.00 | (10428) all_789_0_42533 = 0 & greater_or_equal(all_789_1_42534, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42534
% 204.20/162.00 |
% 204.20/162.00 | Applying alpha-rule on (10428) yields:
% 204.20/162.00 | (10429) all_789_0_42533 = 0
% 204.20/162.00 | (10430) greater_or_equal(all_789_1_42534, all_33_1_35) = 0
% 204.20/162.00 | (10431) end_time(all_33_4_38) = all_789_1_42534
% 204.20/162.00 |
% 204.20/162.00 | Instantiating formula (43) with all_33_4_38, all_789_1_42534, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42534, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.20/162.00 | (10432) all_789_1_42534 = all_33_1_35
% 204.20/162.00 |
% 204.20/162.00 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42534 and discharging atoms end_time(all_33_4_38) = all_789_1_42534, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.20/162.00 | (10433) all_789_1_42534 = all_562_1_40879
% 204.20/162.00 |
% 204.20/162.01 | Combining equations (10433,10432) yields a new equation:
% 204.20/162.01 | (6162) all_562_1_40879 = all_33_1_35
% 204.20/162.01 |
% 204.20/162.01 | Simplifying 6162 yields:
% 204.20/162.01 | (6163) all_562_1_40879 = all_33_1_35
% 204.20/162.01 |
% 204.20/162.01 | From (10432) and (10430) follows:
% 204.20/162.01 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.20/162.01 |
% 204.20/162.01 | From (6163) and (6153) follows:
% 204.20/162.01 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.20/162.01 |
% 204.20/162.01 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.20/162.01 | (6166) all_562_0_40878 = 0
% 204.20/162.01 |
% 204.20/162.01 | Equations (6166) can reduce 6152 to:
% 204.20/162.01 | (62) $false
% 204.20/162.01 |
% 204.20/162.01 |-The branch is then unsatisfiable
% 204.20/162.01 |-Branch two:
% 204.20/162.01 | (10440) all_789_0_42533 = 0 & greater(all_33_1_35, all_789_1_42534) = 0 & end_time(all_33_4_38) = all_789_1_42534
% 204.20/162.01 |
% 204.20/162.01 | Applying alpha-rule on (10440) yields:
% 204.20/162.01 | (10429) all_789_0_42533 = 0
% 204.20/162.01 | (10442) greater(all_33_1_35, all_789_1_42534) = 0
% 204.20/162.01 | (10431) end_time(all_33_4_38) = all_789_1_42534
% 204.20/162.01 |
% 204.20/162.01 | Instantiating formula (43) with all_33_4_38, all_789_1_42534, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42534, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.20/162.01 | (10432) all_789_1_42534 = all_33_1_35
% 204.20/162.01 |
% 204.20/162.01 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42534 and discharging atoms end_time(all_33_4_38) = all_789_1_42534, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.20/162.01 | (10433) all_789_1_42534 = all_562_1_40879
% 204.20/162.01 |
% 204.20/162.01 | Combining equations (10433,10432) yields a new equation:
% 204.20/162.01 | (6162) all_562_1_40879 = all_33_1_35
% 204.20/162.01 |
% 204.20/162.01 | Simplifying 6162 yields:
% 204.20/162.01 | (6163) all_562_1_40879 = all_33_1_35
% 204.20/162.01 |
% 204.20/162.01 | From (6163) and (6153) follows:
% 204.20/162.01 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.20/162.01 |
% 204.20/162.01 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.20/162.01 | (6166) all_562_0_40878 = 0
% 204.20/162.01 |
% 204.20/162.01 | Equations (6166) can reduce 6152 to:
% 204.20/162.01 | (62) $false
% 204.20/162.01 |
% 204.20/162.01 |-The branch is then unsatisfiable
% 204.20/162.01 |-Branch two:
% 204.20/162.01 | (10451) ~ (all_789_1_42534 = 0) & environment(all_33_4_38) = all_789_1_42534
% 204.20/162.01 |
% 204.20/162.01 | Applying alpha-rule on (10451) yields:
% 204.20/162.01 | (10452) ~ (all_789_1_42534 = 0)
% 204.20/162.01 | (10453) environment(all_33_4_38) = all_789_1_42534
% 204.20/162.01 |
% 204.20/162.01 | Instantiating formula (35) with all_33_4_38, all_789_1_42534, 0 and discharging atoms environment(all_33_4_38) = all_789_1_42534, environment(all_33_4_38) = 0, yields:
% 204.20/162.01 | (10454) all_789_1_42534 = 0
% 204.20/162.01 |
% 204.20/162.01 | Equations (10454) can reduce 10452 to:
% 204.20/162.01 | (62) $false
% 204.20/162.01 |
% 204.20/162.01 |-The branch is then unsatisfiable
% 204.22/162.01 |-Branch two:
% 204.22/162.01 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.22/162.01 |
% 204.22/162.01 | Applying alpha-rule on (6184) yields:
% 204.22/162.01 | (6185) ~ (all_562_1_40879 = 0)
% 204.22/162.01 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.22/162.01 |
% 204.22/162.01 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.22/162.01 | (6147) all_562_1_40879 = 0
% 204.22/162.01 |
% 204.22/162.01 | Equations (6147) can reduce 6185 to:
% 204.22/162.01 | (62) $false
% 204.22/162.01 |
% 204.22/162.01 |-The branch is then unsatisfiable
% 204.22/162.01 |-Branch two:
% 204.22/162.01 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.22/162.01 |
% 204.22/162.01 | Applying alpha-rule on (6189) yields:
% 204.22/162.01 | (6122) all_450_0_40845 = 0
% 204.22/162.01 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 204.22/162.01 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.22/162.01 |
% 204.22/162.01 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.02 | (6125) all_450_1_40846 = all_33_1_35
% 204.22/162.02 |
% 204.22/162.02 | From (6125) and (6124) follows:
% 204.22/162.02 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.22/162.02 |
% 204.22/162.02 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.22/162.02 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.22/162.02 |
% 204.22/162.02 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.22/162.02 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.22/162.02 |
% 204.22/162.02 | Instantiating (287) with all_774_0_42537 yields:
% 204.22/162.02 | (10469) (all_774_0_42537 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_42537 = 0) & environment(all_33_4_38) = all_774_0_42537) | ( ~ (all_774_0_42537 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_42537)
% 204.22/162.02 |
% 204.22/162.02 | Instantiating (6127) with all_775_0_42538, all_775_1_42539 yields:
% 204.22/162.02 | (10470) (all_775_0_42538 = 0 & greater_or_equal(all_775_1_42539, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42539) | (all_775_0_42538 = 0 & greater(all_33_1_35, all_775_1_42539) = 0 & end_time(all_33_4_38) = all_775_1_42539) | ( ~ (all_775_1_42539 = 0) & environment(all_33_4_38) = all_775_1_42539)
% 204.22/162.02 |
% 204.22/162.02 +-Applying beta-rule and splitting (10469), into two cases.
% 204.22/162.02 |-Branch one:
% 204.22/162.02 | (10471) (all_774_0_42537 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_42537 = 0) & environment(all_33_4_38) = all_774_0_42537)
% 204.22/162.02 |
% 204.22/162.02 +-Applying beta-rule and splitting (10471), into two cases.
% 204.22/162.02 |-Branch one:
% 204.22/162.02 | (10472) all_774_0_42537 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.22/162.02 |
% 204.22/162.02 | Applying alpha-rule on (10472) yields:
% 204.22/162.02 | (10473) all_774_0_42537 = 0
% 204.22/162.02 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.22/162.02 |
% 204.22/162.02 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.22/162.02 | (109) all_33_0_34 = 0
% 204.22/162.02 |
% 204.22/162.02 | Equations (109) can reduce 72 to:
% 204.22/162.02 | (62) $false
% 204.22/162.02 |
% 204.22/162.02 |-The branch is then unsatisfiable
% 204.22/162.02 |-Branch two:
% 204.22/162.02 | (10477) ~ (all_774_0_42537 = 0) & environment(all_33_4_38) = all_774_0_42537
% 204.22/162.02 |
% 204.22/162.02 | Applying alpha-rule on (10477) yields:
% 204.22/162.02 | (10478) ~ (all_774_0_42537 = 0)
% 204.22/162.02 | (10479) environment(all_33_4_38) = all_774_0_42537
% 204.22/162.02 |
% 204.22/162.02 | Instantiating formula (35) with all_33_4_38, all_774_0_42537, 0 and discharging atoms environment(all_33_4_38) = all_774_0_42537, environment(all_33_4_38) = 0, yields:
% 204.22/162.02 | (10473) all_774_0_42537 = 0
% 204.22/162.02 |
% 204.22/162.02 | Equations (10473) can reduce 10478 to:
% 204.22/162.02 | (62) $false
% 204.22/162.02 |
% 204.22/162.02 |-The branch is then unsatisfiable
% 204.22/162.02 |-Branch two:
% 204.22/162.02 | (10482) ~ (all_774_0_42537 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_42537
% 204.22/162.02 |
% 204.22/162.02 | Applying alpha-rule on (10482) yields:
% 204.22/162.02 | (10478) ~ (all_774_0_42537 = 0)
% 204.22/162.02 | (10484) in_environment(all_33_4_38, all_33_1_35) = all_774_0_42537
% 204.22/162.02 |
% 204.22/162.02 +-Applying beta-rule and splitting (6084), into two cases.
% 204.22/162.02 |-Branch one:
% 204.22/162.02 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.22/162.02 |
% 204.22/162.02 +-Applying beta-rule and splitting (6145), into two cases.
% 204.22/162.02 |-Branch one:
% 204.22/162.02 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.22/162.02 |
% 204.22/162.02 | Applying alpha-rule on (6146) yields:
% 204.22/162.02 | (6147) all_562_1_40879 = 0
% 204.22/162.02 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.22/162.02 |
% 204.22/162.02 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_774_0_42537 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_774_0_42537, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.22/162.02 | (10473) all_774_0_42537 = 0
% 204.22/162.02 |
% 204.22/162.02 | Equations (10473) can reduce 10478 to:
% 204.22/162.02 | (62) $false
% 204.22/162.02 |
% 204.22/162.02 |-The branch is then unsatisfiable
% 204.22/162.02 |-Branch two:
% 204.22/162.02 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.22/162.02 |
% 204.22/162.02 | Applying alpha-rule on (6151) yields:
% 204.22/162.02 | (6152) ~ (all_562_0_40878 = 0)
% 204.22/162.02 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.22/162.02 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.22/162.02 |
% 204.22/162.02 +-Applying beta-rule and splitting (10470), into two cases.
% 204.22/162.02 |-Branch one:
% 204.22/162.02 | (10495) (all_775_0_42538 = 0 & greater_or_equal(all_775_1_42539, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42539) | (all_775_0_42538 = 0 & greater(all_33_1_35, all_775_1_42539) = 0 & end_time(all_33_4_38) = all_775_1_42539)
% 204.22/162.02 |
% 204.22/162.02 +-Applying beta-rule and splitting (10495), into two cases.
% 204.22/162.02 |-Branch one:
% 204.22/162.02 | (10496) all_775_0_42538 = 0 & greater_or_equal(all_775_1_42539, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42539
% 204.22/162.02 |
% 204.22/162.02 | Applying alpha-rule on (10496) yields:
% 204.22/162.02 | (10497) all_775_0_42538 = 0
% 204.22/162.03 | (10498) greater_or_equal(all_775_1_42539, all_33_1_35) = 0
% 204.22/162.03 | (10499) end_time(all_33_4_38) = all_775_1_42539
% 204.22/162.03 |
% 204.22/162.03 | Instantiating formula (43) with all_33_4_38, all_775_1_42539, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_42539, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.03 | (10500) all_775_1_42539 = all_33_1_35
% 204.22/162.03 |
% 204.22/162.03 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_42539 and discharging atoms end_time(all_33_4_38) = all_775_1_42539, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.22/162.03 | (10501) all_775_1_42539 = all_562_1_40879
% 204.22/162.03 |
% 204.22/162.03 | Combining equations (10501,10500) yields a new equation:
% 204.22/162.03 | (6162) all_562_1_40879 = all_33_1_35
% 204.22/162.03 |
% 204.22/162.03 | Simplifying 6162 yields:
% 204.22/162.03 | (6163) all_562_1_40879 = all_33_1_35
% 204.22/162.03 |
% 204.22/162.03 | From (10500) and (10498) follows:
% 204.22/162.03 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.22/162.03 |
% 204.22/162.03 | From (6163) and (6153) follows:
% 204.22/162.03 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.22/162.03 |
% 204.22/162.03 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.22/162.03 | (6166) all_562_0_40878 = 0
% 204.22/162.03 |
% 204.22/162.03 | Equations (6166) can reduce 6152 to:
% 204.22/162.03 | (62) $false
% 204.22/162.03 |
% 204.22/162.03 |-The branch is then unsatisfiable
% 204.22/162.03 |-Branch two:
% 204.22/162.03 | (10508) all_775_0_42538 = 0 & greater(all_33_1_35, all_775_1_42539) = 0 & end_time(all_33_4_38) = all_775_1_42539
% 204.22/162.03 |
% 204.22/162.03 | Applying alpha-rule on (10508) yields:
% 204.22/162.03 | (10497) all_775_0_42538 = 0
% 204.22/162.03 | (10510) greater(all_33_1_35, all_775_1_42539) = 0
% 204.22/162.03 | (10499) end_time(all_33_4_38) = all_775_1_42539
% 204.22/162.03 |
% 204.22/162.03 | Instantiating formula (43) with all_33_4_38, all_775_1_42539, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_42539, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.03 | (10500) all_775_1_42539 = all_33_1_35
% 204.22/162.03 |
% 204.22/162.03 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_42539 and discharging atoms end_time(all_33_4_38) = all_775_1_42539, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.22/162.03 | (10501) all_775_1_42539 = all_562_1_40879
% 204.22/162.03 |
% 204.22/162.03 | Combining equations (10501,10500) yields a new equation:
% 204.22/162.03 | (6162) all_562_1_40879 = all_33_1_35
% 204.22/162.03 |
% 204.22/162.03 | Simplifying 6162 yields:
% 204.22/162.03 | (6163) all_562_1_40879 = all_33_1_35
% 204.22/162.03 |
% 204.22/162.03 | From (6163) and (6153) follows:
% 204.22/162.03 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.22/162.03 |
% 204.22/162.03 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.22/162.03 | (6166) all_562_0_40878 = 0
% 204.22/162.03 |
% 204.22/162.03 | Equations (6166) can reduce 6152 to:
% 204.22/162.03 | (62) $false
% 204.22/162.03 |
% 204.22/162.03 |-The branch is then unsatisfiable
% 204.22/162.03 |-Branch two:
% 204.22/162.03 | (10519) ~ (all_775_1_42539 = 0) & environment(all_33_4_38) = all_775_1_42539
% 204.22/162.03 |
% 204.22/162.03 | Applying alpha-rule on (10519) yields:
% 204.22/162.03 | (10520) ~ (all_775_1_42539 = 0)
% 204.22/162.03 | (10521) environment(all_33_4_38) = all_775_1_42539
% 204.22/162.03 |
% 204.22/162.03 | Instantiating formula (35) with all_33_4_38, all_775_1_42539, 0 and discharging atoms environment(all_33_4_38) = all_775_1_42539, environment(all_33_4_38) = 0, yields:
% 204.22/162.03 | (10522) all_775_1_42539 = 0
% 204.22/162.03 |
% 204.22/162.03 | Equations (10522) can reduce 10520 to:
% 204.22/162.03 | (62) $false
% 204.22/162.03 |
% 204.22/162.03 |-The branch is then unsatisfiable
% 204.22/162.03 |-Branch two:
% 204.22/162.03 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.22/162.03 |
% 204.22/162.03 | Applying alpha-rule on (6184) yields:
% 204.22/162.03 | (6185) ~ (all_562_1_40879 = 0)
% 204.22/162.03 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.22/162.03 |
% 204.22/162.03 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.22/162.03 | (6147) all_562_1_40879 = 0
% 204.22/162.03 |
% 204.22/162.03 | Equations (6147) can reduce 6185 to:
% 204.22/162.03 | (62) $false
% 204.22/162.03 |
% 204.22/162.03 |-The branch is then unsatisfiable
% 204.22/162.04 |-Branch two:
% 204.22/162.04 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 204.22/162.04 |
% 204.22/162.04 | Applying alpha-rule on (6257) yields:
% 204.22/162.04 | (6258) ~ (all_450_1_40846 = 0)
% 204.22/162.04 | (6259) environment(all_33_4_38) = all_450_1_40846
% 204.22/162.04 |
% 204.22/162.04 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 204.22/162.04 | (6260) all_450_1_40846 = 0
% 204.22/162.04 |
% 204.22/162.04 | Equations (6260) can reduce 6258 to:
% 204.22/162.04 | (62) $false
% 204.22/162.04 |
% 204.22/162.04 |-The branch is then unsatisfiable
% 204.22/162.04 |-Branch two:
% 204.22/162.04 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 204.22/162.04 |
% 204.22/162.04 | Applying alpha-rule on (6410) yields:
% 204.22/162.04 | (6411) ~ (all_449_1_40844 = 0)
% 204.22/162.04 | (6412) environment(all_33_4_38) = all_449_1_40844
% 204.22/162.04 |
% 204.22/162.04 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 204.22/162.04 | (6413) all_449_1_40844 = 0
% 204.22/162.04 |
% 204.22/162.04 | Equations (6413) can reduce 6411 to:
% 204.22/162.04 | (62) $false
% 204.22/162.04 |
% 204.22/162.04 |-The branch is then unsatisfiable
% 204.22/162.04 |-Branch two:
% 204.22/162.04 | (6723) ~ (all_448_1_40842 = 0) & environment(all_33_4_38) = all_448_1_40842
% 204.22/162.04 |
% 204.22/162.04 | Applying alpha-rule on (6723) yields:
% 204.22/162.04 | (6724) ~ (all_448_1_40842 = 0)
% 204.22/162.04 | (6725) environment(all_33_4_38) = all_448_1_40842
% 204.22/162.04 |
% 204.22/162.04 | Instantiating formula (35) with all_33_4_38, all_448_1_40842, 0 and discharging atoms environment(all_33_4_38) = all_448_1_40842, environment(all_33_4_38) = 0, yields:
% 204.22/162.04 | (6726) all_448_1_40842 = 0
% 204.22/162.04 |
% 204.22/162.04 | Equations (6726) can reduce 6724 to:
% 204.22/162.04 | (62) $false
% 204.22/162.04 |
% 204.22/162.04 |-The branch is then unsatisfiable
% 204.22/162.04 |-Branch two:
% 204.22/162.04 | (6728) all_447_0_40839 = 0 & greater(all_60_2_75, all_447_1_40840) = 0 & end_time(all_33_4_38) = all_447_1_40840
% 204.22/162.04 |
% 204.22/162.04 | Applying alpha-rule on (6728) yields:
% 204.22/162.04 | (6101) all_447_0_40839 = 0
% 204.22/162.04 | (6730) greater(all_60_2_75, all_447_1_40840) = 0
% 204.22/162.04 | (6103) end_time(all_33_4_38) = all_447_1_40840
% 204.22/162.04 |
% 204.22/162.04 | Instantiating formula (43) with all_33_4_38, all_447_1_40840, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_447_1_40840, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.04 | (6104) all_447_1_40840 = all_33_1_35
% 204.22/162.04 |
% 204.22/162.04 | From (6104) and (6103) follows:
% 204.22/162.04 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.22/162.04 |
% 204.22/162.04 +-Applying beta-rule and splitting (6071), into two cases.
% 204.22/162.04 |-Branch one:
% 204.22/162.04 | (6106) (all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842) | (all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842)
% 204.22/162.04 |
% 204.22/162.04 +-Applying beta-rule and splitting (6106), into two cases.
% 204.22/162.04 |-Branch one:
% 204.22/162.04 | (6107) all_448_0_40841 = 0 & greater_or_equal(all_448_1_40842, all_114_2_98) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 204.22/162.04 |
% 204.22/162.04 | Applying alpha-rule on (6107) yields:
% 204.22/162.04 | (6108) all_448_0_40841 = 0
% 204.22/162.04 | (6109) greater_or_equal(all_448_1_40842, all_114_2_98) = 0
% 204.22/162.04 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 204.22/162.04 |
% 204.22/162.04 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.04 | (6111) all_448_1_40842 = all_33_1_35
% 204.22/162.04 |
% 204.22/162.04 | From (6111) and (6110) follows:
% 204.22/162.04 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.22/162.04 |
% 204.22/162.04 +-Applying beta-rule and splitting (6072), into two cases.
% 204.22/162.04 |-Branch one:
% 204.22/162.04 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 204.22/162.04 |
% 204.22/162.04 +-Applying beta-rule and splitting (6113), into two cases.
% 204.22/162.04 |-Branch one:
% 204.22/162.04 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 204.22/162.04 |
% 204.22/162.04 | Applying alpha-rule on (6114) yields:
% 204.22/162.04 | (6115) all_449_0_40843 = 0
% 204.22/162.04 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 204.22/162.04 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 204.22/162.04 |
% 204.22/162.04 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.04 | (6118) all_449_1_40844 = all_33_1_35
% 204.22/162.04 |
% 204.22/162.04 | From (6118) and (6117) follows:
% 204.22/162.04 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.22/162.04 |
% 204.22/162.04 +-Applying beta-rule and splitting (6073), into two cases.
% 204.22/162.04 |-Branch one:
% 204.22/162.04 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 204.22/162.04 |
% 204.22/162.04 +-Applying beta-rule and splitting (6120), into two cases.
% 204.22/162.04 |-Branch one:
% 204.22/162.04 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.22/162.04 |
% 204.22/162.04 | Applying alpha-rule on (6121) yields:
% 204.22/162.04 | (6122) all_450_0_40845 = 0
% 204.22/162.04 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 204.22/162.04 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.22/162.04 |
% 204.22/162.04 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.05 | (6125) all_450_1_40846 = all_33_1_35
% 204.22/162.05 |
% 204.22/162.05 | From (6125) and (6124) follows:
% 204.22/162.05 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.22/162.05 |
% 204.22/162.05 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.22/162.05 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.22/162.05 |
% 204.22/162.05 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.22/162.05 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.22/162.05 |
% 204.22/162.05 | Instantiating (287) with all_783_0_42582 yields:
% 204.22/162.05 | (10573) (all_783_0_42582 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42582 = 0) & environment(all_33_4_38) = all_783_0_42582) | ( ~ (all_783_0_42582 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42582)
% 204.22/162.05 |
% 204.22/162.05 | Instantiating (6127) with all_784_0_42583, all_784_1_42584 yields:
% 204.22/162.05 | (10574) (all_784_0_42583 = 0 & greater_or_equal(all_784_1_42584, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42584) | (all_784_0_42583 = 0 & greater(all_33_1_35, all_784_1_42584) = 0 & end_time(all_33_4_38) = all_784_1_42584) | ( ~ (all_784_1_42584 = 0) & environment(all_33_4_38) = all_784_1_42584)
% 204.22/162.05 |
% 204.22/162.05 +-Applying beta-rule and splitting (10573), into two cases.
% 204.22/162.05 |-Branch one:
% 204.22/162.05 | (10575) (all_783_0_42582 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_783_0_42582 = 0) & environment(all_33_4_38) = all_783_0_42582)
% 204.22/162.05 |
% 204.22/162.05 +-Applying beta-rule and splitting (10575), into two cases.
% 204.22/162.05 |-Branch one:
% 204.22/162.05 | (10576) all_783_0_42582 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.22/162.05 |
% 204.22/162.05 | Applying alpha-rule on (10576) yields:
% 204.22/162.05 | (10577) all_783_0_42582 = 0
% 204.22/162.05 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.22/162.05 |
% 204.22/162.05 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.22/162.05 | (109) all_33_0_34 = 0
% 204.22/162.05 |
% 204.22/162.05 | Equations (109) can reduce 72 to:
% 204.22/162.05 | (62) $false
% 204.22/162.05 |
% 204.22/162.05 |-The branch is then unsatisfiable
% 204.22/162.05 |-Branch two:
% 204.22/162.05 | (10581) ~ (all_783_0_42582 = 0) & environment(all_33_4_38) = all_783_0_42582
% 204.22/162.05 |
% 204.22/162.05 | Applying alpha-rule on (10581) yields:
% 204.22/162.05 | (10582) ~ (all_783_0_42582 = 0)
% 204.22/162.05 | (10583) environment(all_33_4_38) = all_783_0_42582
% 204.22/162.05 |
% 204.22/162.05 | Instantiating formula (35) with all_33_4_38, all_783_0_42582, 0 and discharging atoms environment(all_33_4_38) = all_783_0_42582, environment(all_33_4_38) = 0, yields:
% 204.22/162.05 | (10577) all_783_0_42582 = 0
% 204.22/162.05 |
% 204.22/162.05 | Equations (10577) can reduce 10582 to:
% 204.22/162.05 | (62) $false
% 204.22/162.05 |
% 204.22/162.05 |-The branch is then unsatisfiable
% 204.22/162.05 |-Branch two:
% 204.22/162.05 | (10586) ~ (all_783_0_42582 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_783_0_42582
% 204.22/162.05 |
% 204.22/162.05 | Applying alpha-rule on (10586) yields:
% 204.22/162.05 | (10582) ~ (all_783_0_42582 = 0)
% 204.22/162.05 | (10588) in_environment(all_33_4_38, all_33_1_35) = all_783_0_42582
% 204.22/162.05 |
% 204.22/162.05 +-Applying beta-rule and splitting (6084), into two cases.
% 204.22/162.05 |-Branch one:
% 204.22/162.05 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.22/162.05 |
% 204.22/162.05 +-Applying beta-rule and splitting (6145), into two cases.
% 204.22/162.05 |-Branch one:
% 204.22/162.05 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.22/162.05 |
% 204.22/162.05 | Applying alpha-rule on (6146) yields:
% 204.22/162.05 | (6147) all_562_1_40879 = 0
% 204.22/162.05 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.22/162.05 |
% 204.22/162.05 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_783_0_42582 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_783_0_42582, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.22/162.05 | (10577) all_783_0_42582 = 0
% 204.22/162.05 |
% 204.22/162.05 | Equations (10577) can reduce 10582 to:
% 204.22/162.05 | (62) $false
% 204.22/162.05 |
% 204.22/162.05 |-The branch is then unsatisfiable
% 204.22/162.05 |-Branch two:
% 204.22/162.05 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.22/162.05 |
% 204.22/162.05 | Applying alpha-rule on (6151) yields:
% 204.22/162.05 | (6152) ~ (all_562_0_40878 = 0)
% 204.22/162.05 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.22/162.05 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.22/162.05 |
% 204.22/162.05 +-Applying beta-rule and splitting (10574), into two cases.
% 204.22/162.05 |-Branch one:
% 204.22/162.05 | (10599) (all_784_0_42583 = 0 & greater_or_equal(all_784_1_42584, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42584) | (all_784_0_42583 = 0 & greater(all_33_1_35, all_784_1_42584) = 0 & end_time(all_33_4_38) = all_784_1_42584)
% 204.22/162.05 |
% 204.22/162.05 +-Applying beta-rule and splitting (10599), into two cases.
% 204.22/162.05 |-Branch one:
% 204.22/162.05 | (10600) all_784_0_42583 = 0 & greater_or_equal(all_784_1_42584, all_33_1_35) = 0 & end_time(all_33_4_38) = all_784_1_42584
% 204.22/162.05 |
% 204.22/162.05 | Applying alpha-rule on (10600) yields:
% 204.22/162.05 | (10601) all_784_0_42583 = 0
% 204.22/162.06 | (10602) greater_or_equal(all_784_1_42584, all_33_1_35) = 0
% 204.22/162.06 | (10603) end_time(all_33_4_38) = all_784_1_42584
% 204.22/162.06 |
% 204.22/162.06 | Instantiating formula (43) with all_33_4_38, all_784_1_42584, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42584, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.06 | (10604) all_784_1_42584 = all_33_1_35
% 204.22/162.06 |
% 204.22/162.06 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42584 and discharging atoms end_time(all_33_4_38) = all_784_1_42584, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.22/162.06 | (10605) all_784_1_42584 = all_562_1_40879
% 204.22/162.06 |
% 204.22/162.06 | Combining equations (10605,10604) yields a new equation:
% 204.22/162.06 | (6162) all_562_1_40879 = all_33_1_35
% 204.22/162.06 |
% 204.22/162.06 | Simplifying 6162 yields:
% 204.22/162.06 | (6163) all_562_1_40879 = all_33_1_35
% 204.22/162.06 |
% 204.22/162.06 | From (10604) and (10602) follows:
% 204.22/162.06 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.22/162.06 |
% 204.22/162.06 | From (6163) and (6153) follows:
% 204.22/162.06 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.22/162.06 |
% 204.22/162.06 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.22/162.06 | (6166) all_562_0_40878 = 0
% 204.22/162.06 |
% 204.22/162.06 | Equations (6166) can reduce 6152 to:
% 204.22/162.06 | (62) $false
% 204.22/162.06 |
% 204.22/162.06 |-The branch is then unsatisfiable
% 204.22/162.06 |-Branch two:
% 204.22/162.06 | (10612) all_784_0_42583 = 0 & greater(all_33_1_35, all_784_1_42584) = 0 & end_time(all_33_4_38) = all_784_1_42584
% 204.22/162.06 |
% 204.22/162.06 | Applying alpha-rule on (10612) yields:
% 204.22/162.06 | (10601) all_784_0_42583 = 0
% 204.22/162.06 | (10614) greater(all_33_1_35, all_784_1_42584) = 0
% 204.22/162.06 | (10603) end_time(all_33_4_38) = all_784_1_42584
% 204.22/162.06 |
% 204.22/162.06 | Instantiating formula (43) with all_33_4_38, all_784_1_42584, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_784_1_42584, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.06 | (10604) all_784_1_42584 = all_33_1_35
% 204.22/162.06 |
% 204.22/162.06 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_784_1_42584 and discharging atoms end_time(all_33_4_38) = all_784_1_42584, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.22/162.06 | (10605) all_784_1_42584 = all_562_1_40879
% 204.22/162.06 |
% 204.22/162.06 | Combining equations (10605,10604) yields a new equation:
% 204.22/162.06 | (6162) all_562_1_40879 = all_33_1_35
% 204.22/162.06 |
% 204.22/162.06 | Simplifying 6162 yields:
% 204.22/162.06 | (6163) all_562_1_40879 = all_33_1_35
% 204.22/162.06 |
% 204.22/162.06 | From (6163) and (6153) follows:
% 204.22/162.06 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.22/162.06 |
% 204.22/162.06 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.22/162.06 | (6166) all_562_0_40878 = 0
% 204.22/162.06 |
% 204.22/162.06 | Equations (6166) can reduce 6152 to:
% 204.22/162.06 | (62) $false
% 204.22/162.06 |
% 204.22/162.06 |-The branch is then unsatisfiable
% 204.22/162.06 |-Branch two:
% 204.22/162.06 | (10623) ~ (all_784_1_42584 = 0) & environment(all_33_4_38) = all_784_1_42584
% 204.22/162.06 |
% 204.22/162.06 | Applying alpha-rule on (10623) yields:
% 204.22/162.06 | (10624) ~ (all_784_1_42584 = 0)
% 204.22/162.06 | (10625) environment(all_33_4_38) = all_784_1_42584
% 204.22/162.06 |
% 204.22/162.06 | Instantiating formula (35) with all_33_4_38, all_784_1_42584, 0 and discharging atoms environment(all_33_4_38) = all_784_1_42584, environment(all_33_4_38) = 0, yields:
% 204.22/162.06 | (10626) all_784_1_42584 = 0
% 204.22/162.06 |
% 204.22/162.06 | Equations (10626) can reduce 10624 to:
% 204.22/162.06 | (62) $false
% 204.22/162.06 |
% 204.22/162.06 |-The branch is then unsatisfiable
% 204.22/162.06 |-Branch two:
% 204.22/162.06 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.22/162.06 |
% 204.22/162.06 | Applying alpha-rule on (6184) yields:
% 204.22/162.06 | (6185) ~ (all_562_1_40879 = 0)
% 204.22/162.06 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.22/162.06 |
% 204.22/162.06 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.22/162.06 | (6147) all_562_1_40879 = 0
% 204.22/162.07 |
% 204.22/162.07 | Equations (6147) can reduce 6185 to:
% 204.22/162.07 | (62) $false
% 204.22/162.07 |
% 204.22/162.07 |-The branch is then unsatisfiable
% 204.22/162.07 |-Branch two:
% 204.22/162.07 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.22/162.07 |
% 204.22/162.07 | Applying alpha-rule on (6189) yields:
% 204.22/162.07 | (6122) all_450_0_40845 = 0
% 204.22/162.07 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 204.22/162.07 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.22/162.07 |
% 204.22/162.07 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.07 | (6125) all_450_1_40846 = all_33_1_35
% 204.22/162.07 |
% 204.22/162.07 | From (6125) and (6124) follows:
% 204.22/162.07 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.22/162.07 |
% 204.22/162.07 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.22/162.07 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.22/162.07 |
% 204.22/162.07 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.22/162.07 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.22/162.07 |
% 204.22/162.07 | Instantiating (6127) with all_789_0_42623, all_789_1_42624 yields:
% 204.22/162.07 | (10641) (all_789_0_42623 = 0 & greater_or_equal(all_789_1_42624, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42624) | (all_789_0_42623 = 0 & greater(all_33_1_35, all_789_1_42624) = 0 & end_time(all_33_4_38) = all_789_1_42624) | ( ~ (all_789_1_42624 = 0) & environment(all_33_4_38) = all_789_1_42624)
% 204.22/162.07 |
% 204.22/162.07 | Instantiating (287) with all_790_0_42625 yields:
% 204.22/162.07 | (10642) (all_790_0_42625 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42625 = 0) & environment(all_33_4_38) = all_790_0_42625) | ( ~ (all_790_0_42625 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42625)
% 204.22/162.07 |
% 204.22/162.07 +-Applying beta-rule and splitting (10642), into two cases.
% 204.22/162.07 |-Branch one:
% 204.22/162.07 | (10643) (all_790_0_42625 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42625 = 0) & environment(all_33_4_38) = all_790_0_42625)
% 204.22/162.07 |
% 204.22/162.07 +-Applying beta-rule and splitting (10643), into two cases.
% 204.22/162.07 |-Branch one:
% 204.22/162.07 | (10644) all_790_0_42625 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.22/162.07 |
% 204.22/162.07 | Applying alpha-rule on (10644) yields:
% 204.22/162.07 | (10645) all_790_0_42625 = 0
% 204.22/162.07 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.22/162.07 |
% 204.22/162.07 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.22/162.07 | (109) all_33_0_34 = 0
% 204.22/162.07 |
% 204.22/162.07 | Equations (109) can reduce 72 to:
% 204.22/162.07 | (62) $false
% 204.22/162.07 |
% 204.22/162.07 |-The branch is then unsatisfiable
% 204.22/162.07 |-Branch two:
% 204.22/162.07 | (10649) ~ (all_790_0_42625 = 0) & environment(all_33_4_38) = all_790_0_42625
% 204.22/162.07 |
% 204.22/162.07 | Applying alpha-rule on (10649) yields:
% 204.22/162.07 | (10650) ~ (all_790_0_42625 = 0)
% 204.22/162.07 | (10651) environment(all_33_4_38) = all_790_0_42625
% 204.22/162.07 |
% 204.22/162.07 | Instantiating formula (35) with all_33_4_38, all_790_0_42625, 0 and discharging atoms environment(all_33_4_38) = all_790_0_42625, environment(all_33_4_38) = 0, yields:
% 204.22/162.07 | (10645) all_790_0_42625 = 0
% 204.22/162.07 |
% 204.22/162.07 | Equations (10645) can reduce 10650 to:
% 204.22/162.07 | (62) $false
% 204.22/162.07 |
% 204.22/162.07 |-The branch is then unsatisfiable
% 204.22/162.07 |-Branch two:
% 204.22/162.07 | (10654) ~ (all_790_0_42625 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42625
% 204.22/162.07 |
% 204.22/162.07 | Applying alpha-rule on (10654) yields:
% 204.22/162.07 | (10650) ~ (all_790_0_42625 = 0)
% 204.22/162.07 | (10656) in_environment(all_33_4_38, all_33_1_35) = all_790_0_42625
% 204.22/162.07 |
% 204.22/162.07 +-Applying beta-rule and splitting (6084), into two cases.
% 204.22/162.07 |-Branch one:
% 204.22/162.07 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.22/162.07 |
% 204.22/162.07 +-Applying beta-rule and splitting (6145), into two cases.
% 204.22/162.07 |-Branch one:
% 204.22/162.07 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.22/162.07 |
% 204.22/162.07 | Applying alpha-rule on (6146) yields:
% 204.22/162.07 | (6147) all_562_1_40879 = 0
% 204.22/162.07 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.22/162.07 |
% 204.22/162.07 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_42625 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_42625, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.22/162.07 | (10645) all_790_0_42625 = 0
% 204.22/162.07 |
% 204.22/162.07 | Equations (10645) can reduce 10650 to:
% 204.22/162.07 | (62) $false
% 204.22/162.07 |
% 204.22/162.07 |-The branch is then unsatisfiable
% 204.22/162.07 |-Branch two:
% 204.22/162.07 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.22/162.07 |
% 204.22/162.07 | Applying alpha-rule on (6151) yields:
% 204.22/162.07 | (6152) ~ (all_562_0_40878 = 0)
% 204.22/162.07 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.22/162.07 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.22/162.07 |
% 204.22/162.07 +-Applying beta-rule and splitting (10641), into two cases.
% 204.22/162.07 |-Branch one:
% 204.22/162.08 | (10667) (all_789_0_42623 = 0 & greater_or_equal(all_789_1_42624, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42624) | (all_789_0_42623 = 0 & greater(all_33_1_35, all_789_1_42624) = 0 & end_time(all_33_4_38) = all_789_1_42624)
% 204.22/162.08 |
% 204.22/162.08 +-Applying beta-rule and splitting (10667), into two cases.
% 204.22/162.08 |-Branch one:
% 204.22/162.08 | (10668) all_789_0_42623 = 0 & greater_or_equal(all_789_1_42624, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42624
% 204.22/162.08 |
% 204.22/162.08 | Applying alpha-rule on (10668) yields:
% 204.22/162.08 | (10669) all_789_0_42623 = 0
% 204.22/162.08 | (10670) greater_or_equal(all_789_1_42624, all_33_1_35) = 0
% 204.22/162.08 | (10671) end_time(all_33_4_38) = all_789_1_42624
% 204.22/162.08 |
% 204.22/162.08 | Instantiating formula (43) with all_33_4_38, all_789_1_42624, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42624, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.08 | (10672) all_789_1_42624 = all_33_1_35
% 204.22/162.08 |
% 204.22/162.08 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42624 and discharging atoms end_time(all_33_4_38) = all_789_1_42624, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.22/162.08 | (10673) all_789_1_42624 = all_562_1_40879
% 204.22/162.08 |
% 204.22/162.08 | Combining equations (10673,10672) yields a new equation:
% 204.22/162.08 | (6162) all_562_1_40879 = all_33_1_35
% 204.22/162.08 |
% 204.22/162.08 | Simplifying 6162 yields:
% 204.22/162.08 | (6163) all_562_1_40879 = all_33_1_35
% 204.22/162.08 |
% 204.22/162.08 | From (10672) and (10670) follows:
% 204.22/162.08 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.22/162.08 |
% 204.22/162.08 | From (6163) and (6153) follows:
% 204.22/162.08 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.22/162.08 |
% 204.22/162.08 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.22/162.08 | (6166) all_562_0_40878 = 0
% 204.22/162.08 |
% 204.22/162.08 | Equations (6166) can reduce 6152 to:
% 204.22/162.08 | (62) $false
% 204.22/162.08 |
% 204.22/162.08 |-The branch is then unsatisfiable
% 204.22/162.08 |-Branch two:
% 204.22/162.08 | (10680) all_789_0_42623 = 0 & greater(all_33_1_35, all_789_1_42624) = 0 & end_time(all_33_4_38) = all_789_1_42624
% 204.22/162.08 |
% 204.22/162.08 | Applying alpha-rule on (10680) yields:
% 204.22/162.08 | (10669) all_789_0_42623 = 0
% 204.22/162.08 | (10682) greater(all_33_1_35, all_789_1_42624) = 0
% 204.22/162.08 | (10671) end_time(all_33_4_38) = all_789_1_42624
% 204.22/162.08 |
% 204.22/162.08 | Instantiating formula (43) with all_33_4_38, all_789_1_42624, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42624, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.08 | (10672) all_789_1_42624 = all_33_1_35
% 204.22/162.08 |
% 204.22/162.08 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42624 and discharging atoms end_time(all_33_4_38) = all_789_1_42624, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.22/162.08 | (10673) all_789_1_42624 = all_562_1_40879
% 204.22/162.08 |
% 204.22/162.08 | Combining equations (10673,10672) yields a new equation:
% 204.22/162.08 | (6162) all_562_1_40879 = all_33_1_35
% 204.22/162.08 |
% 204.22/162.08 | Simplifying 6162 yields:
% 204.22/162.08 | (6163) all_562_1_40879 = all_33_1_35
% 204.22/162.08 |
% 204.22/162.08 | From (6163) and (6153) follows:
% 204.22/162.08 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.22/162.08 |
% 204.22/162.08 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.22/162.08 | (6166) all_562_0_40878 = 0
% 204.22/162.08 |
% 204.22/162.08 | Equations (6166) can reduce 6152 to:
% 204.22/162.08 | (62) $false
% 204.22/162.08 |
% 204.22/162.08 |-The branch is then unsatisfiable
% 204.22/162.08 |-Branch two:
% 204.22/162.08 | (10691) ~ (all_789_1_42624 = 0) & environment(all_33_4_38) = all_789_1_42624
% 204.22/162.08 |
% 204.22/162.08 | Applying alpha-rule on (10691) yields:
% 204.22/162.08 | (10692) ~ (all_789_1_42624 = 0)
% 204.22/162.09 | (10693) environment(all_33_4_38) = all_789_1_42624
% 204.22/162.09 |
% 204.22/162.09 | Instantiating formula (35) with all_33_4_38, all_789_1_42624, 0 and discharging atoms environment(all_33_4_38) = all_789_1_42624, environment(all_33_4_38) = 0, yields:
% 204.22/162.09 | (10694) all_789_1_42624 = 0
% 204.22/162.09 |
% 204.22/162.09 | Equations (10694) can reduce 10692 to:
% 204.22/162.09 | (62) $false
% 204.22/162.09 |
% 204.22/162.09 |-The branch is then unsatisfiable
% 204.22/162.09 |-Branch two:
% 204.22/162.09 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.22/162.09 |
% 204.22/162.09 | Applying alpha-rule on (6184) yields:
% 204.22/162.09 | (6185) ~ (all_562_1_40879 = 0)
% 204.22/162.09 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.22/162.09 |
% 204.22/162.09 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.22/162.09 | (6147) all_562_1_40879 = 0
% 204.22/162.09 |
% 204.22/162.09 | Equations (6147) can reduce 6185 to:
% 204.22/162.09 | (62) $false
% 204.22/162.09 |
% 204.22/162.09 |-The branch is then unsatisfiable
% 204.22/162.09 |-Branch two:
% 204.22/162.09 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 204.22/162.09 |
% 204.22/162.09 | Applying alpha-rule on (6257) yields:
% 204.22/162.09 | (6258) ~ (all_450_1_40846 = 0)
% 204.22/162.09 | (6259) environment(all_33_4_38) = all_450_1_40846
% 204.22/162.09 |
% 204.22/162.09 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 204.22/162.09 | (6260) all_450_1_40846 = 0
% 204.22/162.09 |
% 204.22/162.09 | Equations (6260) can reduce 6258 to:
% 204.22/162.09 | (62) $false
% 204.22/162.09 |
% 204.22/162.09 |-The branch is then unsatisfiable
% 204.22/162.09 |-Branch two:
% 204.22/162.09 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 204.22/162.09 |
% 204.22/162.09 | Applying alpha-rule on (6262) yields:
% 204.22/162.09 | (6115) all_449_0_40843 = 0
% 204.22/162.09 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 204.22/162.09 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 204.22/162.09 |
% 204.22/162.09 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.09 | (6118) all_449_1_40844 = all_33_1_35
% 204.22/162.09 |
% 204.22/162.09 | From (6118) and (6117) follows:
% 204.22/162.09 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.22/162.09 |
% 204.22/162.09 +-Applying beta-rule and splitting (6073), into two cases.
% 204.22/162.09 |-Branch one:
% 204.22/162.09 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 204.22/162.09 |
% 204.22/162.09 +-Applying beta-rule and splitting (6120), into two cases.
% 204.22/162.09 |-Branch one:
% 204.22/162.09 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.22/162.09 |
% 204.22/162.09 | Applying alpha-rule on (6121) yields:
% 204.22/162.09 | (6122) all_450_0_40845 = 0
% 204.22/162.09 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 204.22/162.09 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.22/162.09 |
% 204.22/162.09 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.22/162.09 | (6125) all_450_1_40846 = all_33_1_35
% 204.22/162.09 |
% 204.22/162.09 | From (6125) and (6124) follows:
% 204.22/162.09 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.22/162.09 |
% 204.22/162.09 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.22/162.09 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.22/162.09 |
% 204.22/162.09 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.22/162.09 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.22/162.09 |
% 204.22/162.09 | Instantiating (6127) with all_789_0_42653, all_789_1_42654 yields:
% 204.22/162.09 | (10721) (all_789_0_42653 = 0 & greater_or_equal(all_789_1_42654, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42654) | (all_789_0_42653 = 0 & greater(all_33_1_35, all_789_1_42654) = 0 & end_time(all_33_4_38) = all_789_1_42654) | ( ~ (all_789_1_42654 = 0) & environment(all_33_4_38) = all_789_1_42654)
% 204.22/162.09 |
% 204.22/162.09 | Instantiating (287) with all_790_0_42655 yields:
% 204.22/162.09 | (10722) (all_790_0_42655 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42655 = 0) & environment(all_33_4_38) = all_790_0_42655) | ( ~ (all_790_0_42655 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42655)
% 204.22/162.09 |
% 204.22/162.09 +-Applying beta-rule and splitting (10722), into two cases.
% 204.22/162.09 |-Branch one:
% 204.22/162.09 | (10723) (all_790_0_42655 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42655 = 0) & environment(all_33_4_38) = all_790_0_42655)
% 204.22/162.09 |
% 204.22/162.09 +-Applying beta-rule and splitting (10723), into two cases.
% 204.22/162.09 |-Branch one:
% 204.22/162.09 | (10724) all_790_0_42655 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.22/162.09 |
% 204.22/162.09 | Applying alpha-rule on (10724) yields:
% 204.22/162.10 | (10725) all_790_0_42655 = 0
% 204.22/162.10 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.22/162.10 |
% 204.22/162.10 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.22/162.10 | (109) all_33_0_34 = 0
% 204.22/162.10 |
% 204.22/162.10 | Equations (109) can reduce 72 to:
% 204.22/162.10 | (62) $false
% 204.22/162.10 |
% 204.22/162.10 |-The branch is then unsatisfiable
% 204.22/162.10 |-Branch two:
% 204.22/162.10 | (10729) ~ (all_790_0_42655 = 0) & environment(all_33_4_38) = all_790_0_42655
% 204.22/162.10 |
% 204.22/162.10 | Applying alpha-rule on (10729) yields:
% 204.22/162.10 | (10730) ~ (all_790_0_42655 = 0)
% 204.22/162.10 | (10731) environment(all_33_4_38) = all_790_0_42655
% 204.22/162.10 |
% 204.22/162.10 | Instantiating formula (35) with all_33_4_38, all_790_0_42655, 0 and discharging atoms environment(all_33_4_38) = all_790_0_42655, environment(all_33_4_38) = 0, yields:
% 204.22/162.10 | (10725) all_790_0_42655 = 0
% 204.22/162.10 |
% 204.22/162.10 | Equations (10725) can reduce 10730 to:
% 204.22/162.10 | (62) $false
% 204.22/162.10 |
% 204.22/162.10 |-The branch is then unsatisfiable
% 204.22/162.10 |-Branch two:
% 204.22/162.10 | (10734) ~ (all_790_0_42655 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42655
% 204.22/162.10 |
% 204.22/162.10 | Applying alpha-rule on (10734) yields:
% 204.22/162.10 | (10730) ~ (all_790_0_42655 = 0)
% 204.22/162.10 | (10736) in_environment(all_33_4_38, all_33_1_35) = all_790_0_42655
% 204.22/162.10 |
% 204.22/162.10 +-Applying beta-rule and splitting (6084), into two cases.
% 204.22/162.10 |-Branch one:
% 204.22/162.10 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.22/162.10 |
% 204.22/162.10 +-Applying beta-rule and splitting (6145), into two cases.
% 204.22/162.10 |-Branch one:
% 204.22/162.10 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.22/162.10 |
% 204.22/162.10 | Applying alpha-rule on (6146) yields:
% 204.22/162.10 | (6147) all_562_1_40879 = 0
% 204.22/162.10 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.22/162.10 |
% 204.22/162.10 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_42655 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_42655, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.22/162.10 | (10725) all_790_0_42655 = 0
% 204.22/162.10 |
% 204.22/162.10 | Equations (10725) can reduce 10730 to:
% 204.22/162.10 | (62) $false
% 204.22/162.10 |
% 204.22/162.10 |-The branch is then unsatisfiable
% 204.22/162.10 |-Branch two:
% 204.22/162.10 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.22/162.10 |
% 204.22/162.10 | Applying alpha-rule on (6151) yields:
% 204.30/162.10 | (6152) ~ (all_562_0_40878 = 0)
% 204.30/162.10 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.30/162.10 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.30/162.10 |
% 204.30/162.10 +-Applying beta-rule and splitting (10721), into two cases.
% 204.30/162.10 |-Branch one:
% 204.30/162.10 | (10747) (all_789_0_42653 = 0 & greater_or_equal(all_789_1_42654, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42654) | (all_789_0_42653 = 0 & greater(all_33_1_35, all_789_1_42654) = 0 & end_time(all_33_4_38) = all_789_1_42654)
% 204.30/162.10 |
% 204.30/162.10 +-Applying beta-rule and splitting (10747), into two cases.
% 204.30/162.10 |-Branch one:
% 204.30/162.10 | (10748) all_789_0_42653 = 0 & greater_or_equal(all_789_1_42654, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42654
% 204.30/162.10 |
% 204.30/162.10 | Applying alpha-rule on (10748) yields:
% 204.30/162.10 | (10749) all_789_0_42653 = 0
% 204.30/162.10 | (10750) greater_or_equal(all_789_1_42654, all_33_1_35) = 0
% 204.30/162.10 | (10751) end_time(all_33_4_38) = all_789_1_42654
% 204.30/162.10 |
% 204.30/162.10 | Instantiating formula (43) with all_33_4_38, all_789_1_42654, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42654, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.10 | (10752) all_789_1_42654 = all_33_1_35
% 204.30/162.10 |
% 204.30/162.10 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42654 and discharging atoms end_time(all_33_4_38) = all_789_1_42654, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.30/162.10 | (10753) all_789_1_42654 = all_562_1_40879
% 204.30/162.10 |
% 204.30/162.10 | Combining equations (10753,10752) yields a new equation:
% 204.30/162.10 | (6162) all_562_1_40879 = all_33_1_35
% 204.30/162.10 |
% 204.30/162.10 | Simplifying 6162 yields:
% 204.30/162.10 | (6163) all_562_1_40879 = all_33_1_35
% 204.30/162.10 |
% 204.30/162.10 | From (10752) and (10750) follows:
% 204.30/162.11 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.30/162.11 |
% 204.30/162.11 | From (6163) and (6153) follows:
% 204.30/162.11 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.30/162.11 |
% 204.30/162.11 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.30/162.11 | (6166) all_562_0_40878 = 0
% 204.30/162.11 |
% 204.30/162.11 | Equations (6166) can reduce 6152 to:
% 204.30/162.11 | (62) $false
% 204.30/162.11 |
% 204.30/162.11 |-The branch is then unsatisfiable
% 204.30/162.11 |-Branch two:
% 204.30/162.11 | (10760) all_789_0_42653 = 0 & greater(all_33_1_35, all_789_1_42654) = 0 & end_time(all_33_4_38) = all_789_1_42654
% 204.30/162.11 |
% 204.30/162.11 | Applying alpha-rule on (10760) yields:
% 204.30/162.11 | (10749) all_789_0_42653 = 0
% 204.30/162.11 | (10762) greater(all_33_1_35, all_789_1_42654) = 0
% 204.30/162.11 | (10751) end_time(all_33_4_38) = all_789_1_42654
% 204.30/162.11 |
% 204.30/162.11 | Instantiating formula (43) with all_33_4_38, all_789_1_42654, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42654, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.11 | (10752) all_789_1_42654 = all_33_1_35
% 204.30/162.11 |
% 204.30/162.11 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42654 and discharging atoms end_time(all_33_4_38) = all_789_1_42654, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.30/162.11 | (10753) all_789_1_42654 = all_562_1_40879
% 204.30/162.11 |
% 204.30/162.11 | Combining equations (10753,10752) yields a new equation:
% 204.30/162.11 | (6162) all_562_1_40879 = all_33_1_35
% 204.30/162.11 |
% 204.30/162.11 | Simplifying 6162 yields:
% 204.30/162.11 | (6163) all_562_1_40879 = all_33_1_35
% 204.30/162.11 |
% 204.30/162.11 | From (6163) and (6153) follows:
% 204.30/162.11 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.30/162.11 |
% 204.30/162.11 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.30/162.11 | (6166) all_562_0_40878 = 0
% 204.30/162.11 |
% 204.30/162.11 | Equations (6166) can reduce 6152 to:
% 204.30/162.11 | (62) $false
% 204.30/162.11 |
% 204.30/162.11 |-The branch is then unsatisfiable
% 204.30/162.11 |-Branch two:
% 204.30/162.11 | (10771) ~ (all_789_1_42654 = 0) & environment(all_33_4_38) = all_789_1_42654
% 204.30/162.11 |
% 204.30/162.11 | Applying alpha-rule on (10771) yields:
% 204.30/162.11 | (10772) ~ (all_789_1_42654 = 0)
% 204.30/162.11 | (10773) environment(all_33_4_38) = all_789_1_42654
% 204.30/162.11 |
% 204.30/162.11 | Instantiating formula (35) with all_33_4_38, all_789_1_42654, 0 and discharging atoms environment(all_33_4_38) = all_789_1_42654, environment(all_33_4_38) = 0, yields:
% 204.30/162.11 | (10774) all_789_1_42654 = 0
% 204.30/162.11 |
% 204.30/162.11 | Equations (10774) can reduce 10772 to:
% 204.30/162.11 | (62) $false
% 204.30/162.11 |
% 204.30/162.11 |-The branch is then unsatisfiable
% 204.30/162.11 |-Branch two:
% 204.30/162.11 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.30/162.11 |
% 204.30/162.11 | Applying alpha-rule on (6184) yields:
% 204.30/162.11 | (6185) ~ (all_562_1_40879 = 0)
% 204.30/162.11 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.30/162.11 |
% 204.30/162.11 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.30/162.11 | (6147) all_562_1_40879 = 0
% 204.30/162.11 |
% 204.30/162.11 | Equations (6147) can reduce 6185 to:
% 204.30/162.11 | (62) $false
% 204.30/162.11 |
% 204.30/162.11 |-The branch is then unsatisfiable
% 204.30/162.11 |-Branch two:
% 204.30/162.11 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.30/162.11 |
% 204.30/162.11 | Applying alpha-rule on (6189) yields:
% 204.30/162.11 | (6122) all_450_0_40845 = 0
% 204.30/162.11 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 204.30/162.11 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.30/162.11 |
% 204.30/162.11 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.11 | (6125) all_450_1_40846 = all_33_1_35
% 204.30/162.11 |
% 204.30/162.11 | From (6125) and (6124) follows:
% 204.30/162.11 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.30/162.11 |
% 204.30/162.11 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.30/162.12 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.30/162.12 |
% 204.30/162.12 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.30/162.12 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.30/162.12 |
% 204.30/162.12 | Instantiating (287) with all_774_0_42657 yields:
% 204.30/162.12 | (10789) (all_774_0_42657 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_42657 = 0) & environment(all_33_4_38) = all_774_0_42657) | ( ~ (all_774_0_42657 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_42657)
% 204.30/162.12 |
% 204.30/162.12 | Instantiating (6127) with all_775_0_42658, all_775_1_42659 yields:
% 204.30/162.12 | (10790) (all_775_0_42658 = 0 & greater_or_equal(all_775_1_42659, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42659) | (all_775_0_42658 = 0 & greater(all_33_1_35, all_775_1_42659) = 0 & end_time(all_33_4_38) = all_775_1_42659) | ( ~ (all_775_1_42659 = 0) & environment(all_33_4_38) = all_775_1_42659)
% 204.30/162.12 |
% 204.30/162.12 +-Applying beta-rule and splitting (10789), into two cases.
% 204.30/162.12 |-Branch one:
% 204.30/162.12 | (10791) (all_774_0_42657 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_42657 = 0) & environment(all_33_4_38) = all_774_0_42657)
% 204.30/162.12 |
% 204.30/162.12 +-Applying beta-rule and splitting (10791), into two cases.
% 204.30/162.12 |-Branch one:
% 204.30/162.12 | (10792) all_774_0_42657 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.30/162.12 |
% 204.30/162.12 | Applying alpha-rule on (10792) yields:
% 204.30/162.12 | (10793) all_774_0_42657 = 0
% 204.30/162.12 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.30/162.12 |
% 204.30/162.12 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.30/162.12 | (109) all_33_0_34 = 0
% 204.30/162.12 |
% 204.30/162.12 | Equations (109) can reduce 72 to:
% 204.30/162.12 | (62) $false
% 204.30/162.12 |
% 204.30/162.12 |-The branch is then unsatisfiable
% 204.30/162.12 |-Branch two:
% 204.30/162.12 | (10797) ~ (all_774_0_42657 = 0) & environment(all_33_4_38) = all_774_0_42657
% 204.30/162.12 |
% 204.30/162.12 | Applying alpha-rule on (10797) yields:
% 204.30/162.12 | (10798) ~ (all_774_0_42657 = 0)
% 204.30/162.12 | (10799) environment(all_33_4_38) = all_774_0_42657
% 204.30/162.12 |
% 204.30/162.12 | Instantiating formula (35) with all_33_4_38, all_774_0_42657, 0 and discharging atoms environment(all_33_4_38) = all_774_0_42657, environment(all_33_4_38) = 0, yields:
% 204.30/162.12 | (10793) all_774_0_42657 = 0
% 204.30/162.12 |
% 204.30/162.12 | Equations (10793) can reduce 10798 to:
% 204.30/162.12 | (62) $false
% 204.30/162.12 |
% 204.30/162.12 |-The branch is then unsatisfiable
% 204.30/162.12 |-Branch two:
% 204.30/162.12 | (10802) ~ (all_774_0_42657 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_42657
% 204.30/162.12 |
% 204.30/162.12 | Applying alpha-rule on (10802) yields:
% 204.30/162.12 | (10798) ~ (all_774_0_42657 = 0)
% 204.30/162.12 | (10804) in_environment(all_33_4_38, all_33_1_35) = all_774_0_42657
% 204.30/162.12 |
% 204.30/162.12 +-Applying beta-rule and splitting (6084), into two cases.
% 204.30/162.12 |-Branch one:
% 204.30/162.12 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.30/162.12 |
% 204.30/162.12 +-Applying beta-rule and splitting (6145), into two cases.
% 204.30/162.12 |-Branch one:
% 204.30/162.12 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.30/162.12 |
% 204.30/162.12 | Applying alpha-rule on (6146) yields:
% 204.30/162.12 | (6147) all_562_1_40879 = 0
% 204.30/162.12 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.30/162.12 |
% 204.30/162.12 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_774_0_42657 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_774_0_42657, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.30/162.12 | (10793) all_774_0_42657 = 0
% 204.30/162.12 |
% 204.30/162.12 | Equations (10793) can reduce 10798 to:
% 204.30/162.12 | (62) $false
% 204.30/162.12 |
% 204.30/162.12 |-The branch is then unsatisfiable
% 204.30/162.12 |-Branch two:
% 204.30/162.12 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.30/162.12 |
% 204.30/162.12 | Applying alpha-rule on (6151) yields:
% 204.30/162.12 | (6152) ~ (all_562_0_40878 = 0)
% 204.30/162.12 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.30/162.12 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.30/162.12 |
% 204.30/162.12 +-Applying beta-rule and splitting (10790), into two cases.
% 204.30/162.12 |-Branch one:
% 204.30/162.12 | (10815) (all_775_0_42658 = 0 & greater_or_equal(all_775_1_42659, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42659) | (all_775_0_42658 = 0 & greater(all_33_1_35, all_775_1_42659) = 0 & end_time(all_33_4_38) = all_775_1_42659)
% 204.30/162.12 |
% 204.30/162.12 +-Applying beta-rule and splitting (10815), into two cases.
% 204.30/162.12 |-Branch one:
% 204.30/162.12 | (10816) all_775_0_42658 = 0 & greater_or_equal(all_775_1_42659, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42659
% 204.30/162.12 |
% 204.30/162.12 | Applying alpha-rule on (10816) yields:
% 204.30/162.12 | (10817) all_775_0_42658 = 0
% 204.30/162.12 | (10818) greater_or_equal(all_775_1_42659, all_33_1_35) = 0
% 204.30/162.12 | (10819) end_time(all_33_4_38) = all_775_1_42659
% 204.30/162.12 |
% 204.30/162.13 | Instantiating formula (43) with all_33_4_38, all_775_1_42659, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_42659, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.13 | (10820) all_775_1_42659 = all_33_1_35
% 204.30/162.13 |
% 204.30/162.13 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_42659 and discharging atoms end_time(all_33_4_38) = all_775_1_42659, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.30/162.13 | (10821) all_775_1_42659 = all_562_1_40879
% 204.30/162.13 |
% 204.30/162.13 | Combining equations (10821,10820) yields a new equation:
% 204.30/162.13 | (6162) all_562_1_40879 = all_33_1_35
% 204.30/162.13 |
% 204.30/162.13 | Simplifying 6162 yields:
% 204.30/162.13 | (6163) all_562_1_40879 = all_33_1_35
% 204.30/162.13 |
% 204.30/162.13 | From (10820) and (10818) follows:
% 204.30/162.13 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.30/162.13 |
% 204.30/162.13 | From (6163) and (6153) follows:
% 204.30/162.13 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.30/162.13 |
% 204.30/162.13 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.30/162.13 | (6166) all_562_0_40878 = 0
% 204.30/162.13 |
% 204.30/162.13 | Equations (6166) can reduce 6152 to:
% 204.30/162.13 | (62) $false
% 204.30/162.13 |
% 204.30/162.13 |-The branch is then unsatisfiable
% 204.30/162.13 |-Branch two:
% 204.30/162.13 | (10828) all_775_0_42658 = 0 & greater(all_33_1_35, all_775_1_42659) = 0 & end_time(all_33_4_38) = all_775_1_42659
% 204.30/162.13 |
% 204.30/162.13 | Applying alpha-rule on (10828) yields:
% 204.30/162.13 | (10817) all_775_0_42658 = 0
% 204.30/162.13 | (10830) greater(all_33_1_35, all_775_1_42659) = 0
% 204.30/162.13 | (10819) end_time(all_33_4_38) = all_775_1_42659
% 204.30/162.13 |
% 204.30/162.13 | Instantiating formula (43) with all_33_4_38, all_775_1_42659, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_42659, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.13 | (10820) all_775_1_42659 = all_33_1_35
% 204.30/162.13 |
% 204.30/162.13 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_42659 and discharging atoms end_time(all_33_4_38) = all_775_1_42659, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.30/162.13 | (10821) all_775_1_42659 = all_562_1_40879
% 204.30/162.13 |
% 204.30/162.13 | Combining equations (10821,10820) yields a new equation:
% 204.30/162.13 | (6162) all_562_1_40879 = all_33_1_35
% 204.30/162.13 |
% 204.30/162.13 | Simplifying 6162 yields:
% 204.30/162.13 | (6163) all_562_1_40879 = all_33_1_35
% 204.30/162.13 |
% 204.30/162.13 | From (6163) and (6153) follows:
% 204.30/162.13 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.30/162.13 |
% 204.30/162.13 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.30/162.13 | (6166) all_562_0_40878 = 0
% 204.30/162.13 |
% 204.30/162.13 | Equations (6166) can reduce 6152 to:
% 204.30/162.13 | (62) $false
% 204.30/162.13 |
% 204.30/162.13 |-The branch is then unsatisfiable
% 204.30/162.13 |-Branch two:
% 204.30/162.13 | (10839) ~ (all_775_1_42659 = 0) & environment(all_33_4_38) = all_775_1_42659
% 204.30/162.13 |
% 204.30/162.13 | Applying alpha-rule on (10839) yields:
% 204.30/162.13 | (10840) ~ (all_775_1_42659 = 0)
% 204.30/162.13 | (10841) environment(all_33_4_38) = all_775_1_42659
% 204.30/162.13 |
% 204.30/162.13 | Instantiating formula (35) with all_33_4_38, all_775_1_42659, 0 and discharging atoms environment(all_33_4_38) = all_775_1_42659, environment(all_33_4_38) = 0, yields:
% 204.30/162.13 | (10842) all_775_1_42659 = 0
% 204.30/162.13 |
% 204.30/162.13 | Equations (10842) can reduce 10840 to:
% 204.30/162.13 | (62) $false
% 204.30/162.13 |
% 204.30/162.13 |-The branch is then unsatisfiable
% 204.30/162.13 |-Branch two:
% 204.30/162.13 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.30/162.13 |
% 204.30/162.13 | Applying alpha-rule on (6184) yields:
% 204.30/162.13 | (6185) ~ (all_562_1_40879 = 0)
% 204.30/162.13 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.30/162.13 |
% 204.30/162.13 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.30/162.13 | (6147) all_562_1_40879 = 0
% 204.30/162.13 |
% 204.30/162.13 | Equations (6147) can reduce 6185 to:
% 204.30/162.13 | (62) $false
% 204.30/162.13 |
% 204.30/162.13 |-The branch is then unsatisfiable
% 204.30/162.14 |-Branch two:
% 204.30/162.14 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 204.30/162.14 |
% 204.30/162.14 | Applying alpha-rule on (6257) yields:
% 204.30/162.14 | (6258) ~ (all_450_1_40846 = 0)
% 204.30/162.14 | (6259) environment(all_33_4_38) = all_450_1_40846
% 204.30/162.14 |
% 204.30/162.14 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 204.30/162.14 | (6260) all_450_1_40846 = 0
% 204.30/162.14 |
% 204.30/162.14 | Equations (6260) can reduce 6258 to:
% 204.30/162.14 | (62) $false
% 204.30/162.14 |
% 204.30/162.14 |-The branch is then unsatisfiable
% 204.30/162.14 |-Branch two:
% 204.30/162.14 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 204.30/162.14 |
% 204.30/162.14 | Applying alpha-rule on (6410) yields:
% 204.30/162.14 | (6411) ~ (all_449_1_40844 = 0)
% 204.30/162.14 | (6412) environment(all_33_4_38) = all_449_1_40844
% 204.30/162.14 |
% 204.30/162.14 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 204.30/162.14 | (6413) all_449_1_40844 = 0
% 204.30/162.14 |
% 204.30/162.14 | Equations (6413) can reduce 6411 to:
% 204.30/162.14 | (62) $false
% 204.30/162.14 |
% 204.30/162.14 |-The branch is then unsatisfiable
% 204.30/162.14 |-Branch two:
% 204.30/162.14 | (6415) all_448_0_40841 = 0 & greater(all_114_2_98, all_448_1_40842) = 0 & end_time(all_33_4_38) = all_448_1_40842
% 204.30/162.14 |
% 204.30/162.14 | Applying alpha-rule on (6415) yields:
% 204.30/162.14 | (6108) all_448_0_40841 = 0
% 204.30/162.14 | (6417) greater(all_114_2_98, all_448_1_40842) = 0
% 204.30/162.14 | (6110) end_time(all_33_4_38) = all_448_1_40842
% 204.30/162.14 |
% 204.30/162.14 | Instantiating formula (43) with all_33_4_38, all_448_1_40842, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_448_1_40842, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.14 | (6111) all_448_1_40842 = all_33_1_35
% 204.30/162.14 |
% 204.30/162.14 | From (6111) and (6110) follows:
% 204.30/162.14 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.30/162.14 |
% 204.30/162.14 +-Applying beta-rule and splitting (6072), into two cases.
% 204.30/162.14 |-Branch one:
% 204.30/162.14 | (6113) (all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844) | (all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844)
% 204.30/162.14 |
% 204.30/162.14 +-Applying beta-rule and splitting (6113), into two cases.
% 204.30/162.14 |-Branch one:
% 204.30/162.14 | (6114) all_449_0_40843 = 0 & greater_or_equal(all_449_1_40844, all_61_2_79) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 204.30/162.14 |
% 204.30/162.14 | Applying alpha-rule on (6114) yields:
% 204.30/162.14 | (6115) all_449_0_40843 = 0
% 204.30/162.14 | (6116) greater_or_equal(all_449_1_40844, all_61_2_79) = 0
% 204.30/162.14 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 204.30/162.14 |
% 204.30/162.14 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.14 | (6118) all_449_1_40844 = all_33_1_35
% 204.30/162.14 |
% 204.30/162.14 | From (6118) and (6117) follows:
% 204.30/162.14 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.30/162.14 |
% 204.30/162.14 +-Applying beta-rule and splitting (6073), into two cases.
% 204.30/162.14 |-Branch one:
% 204.30/162.14 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 204.30/162.14 |
% 204.30/162.14 +-Applying beta-rule and splitting (6120), into two cases.
% 204.30/162.14 |-Branch one:
% 204.30/162.14 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.30/162.14 |
% 204.30/162.14 | Applying alpha-rule on (6121) yields:
% 204.30/162.14 | (6122) all_450_0_40845 = 0
% 204.30/162.14 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 204.30/162.14 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.30/162.14 |
% 204.30/162.14 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.14 | (6125) all_450_1_40846 = all_33_1_35
% 204.30/162.14 |
% 204.30/162.14 | From (6125) and (6124) follows:
% 204.30/162.14 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.30/162.14 |
% 204.30/162.14 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.30/162.14 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.30/162.14 |
% 204.30/162.14 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.30/162.14 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.30/162.14 |
% 204.30/162.14 | Instantiating (6127) with all_789_0_42713, all_789_1_42714 yields:
% 204.30/162.14 | (10881) (all_789_0_42713 = 0 & greater_or_equal(all_789_1_42714, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42714) | (all_789_0_42713 = 0 & greater(all_33_1_35, all_789_1_42714) = 0 & end_time(all_33_4_38) = all_789_1_42714) | ( ~ (all_789_1_42714 = 0) & environment(all_33_4_38) = all_789_1_42714)
% 204.30/162.14 |
% 204.30/162.14 | Instantiating (287) with all_790_0_42715 yields:
% 204.30/162.14 | (10882) (all_790_0_42715 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42715 = 0) & environment(all_33_4_38) = all_790_0_42715) | ( ~ (all_790_0_42715 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42715)
% 204.30/162.14 |
% 204.30/162.14 +-Applying beta-rule and splitting (10882), into two cases.
% 204.30/162.14 |-Branch one:
% 204.30/162.14 | (10883) (all_790_0_42715 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_790_0_42715 = 0) & environment(all_33_4_38) = all_790_0_42715)
% 204.30/162.14 |
% 204.30/162.14 +-Applying beta-rule and splitting (10883), into two cases.
% 204.30/162.14 |-Branch one:
% 204.30/162.14 | (10884) all_790_0_42715 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.30/162.14 |
% 204.30/162.14 | Applying alpha-rule on (10884) yields:
% 204.30/162.14 | (10885) all_790_0_42715 = 0
% 204.30/162.14 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.30/162.14 |
% 204.30/162.14 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.30/162.14 | (109) all_33_0_34 = 0
% 204.30/162.14 |
% 204.30/162.14 | Equations (109) can reduce 72 to:
% 204.30/162.14 | (62) $false
% 204.30/162.14 |
% 204.30/162.14 |-The branch is then unsatisfiable
% 204.30/162.14 |-Branch two:
% 204.30/162.15 | (10889) ~ (all_790_0_42715 = 0) & environment(all_33_4_38) = all_790_0_42715
% 204.30/162.15 |
% 204.30/162.15 | Applying alpha-rule on (10889) yields:
% 204.30/162.15 | (10890) ~ (all_790_0_42715 = 0)
% 204.30/162.15 | (10891) environment(all_33_4_38) = all_790_0_42715
% 204.30/162.15 |
% 204.30/162.15 | Instantiating formula (35) with all_33_4_38, all_790_0_42715, 0 and discharging atoms environment(all_33_4_38) = all_790_0_42715, environment(all_33_4_38) = 0, yields:
% 204.30/162.15 | (10885) all_790_0_42715 = 0
% 204.30/162.15 |
% 204.30/162.15 | Equations (10885) can reduce 10890 to:
% 204.30/162.15 | (62) $false
% 204.30/162.15 |
% 204.30/162.15 |-The branch is then unsatisfiable
% 204.30/162.15 |-Branch two:
% 204.30/162.15 | (10894) ~ (all_790_0_42715 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_790_0_42715
% 204.30/162.15 |
% 204.30/162.15 | Applying alpha-rule on (10894) yields:
% 204.30/162.15 | (10890) ~ (all_790_0_42715 = 0)
% 204.30/162.15 | (10896) in_environment(all_33_4_38, all_33_1_35) = all_790_0_42715
% 204.30/162.15 |
% 204.30/162.15 +-Applying beta-rule and splitting (6084), into two cases.
% 204.30/162.15 |-Branch one:
% 204.30/162.15 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.30/162.15 |
% 204.30/162.15 +-Applying beta-rule and splitting (6145), into two cases.
% 204.30/162.15 |-Branch one:
% 204.30/162.15 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.30/162.15 |
% 204.30/162.15 | Applying alpha-rule on (6146) yields:
% 204.30/162.15 | (6147) all_562_1_40879 = 0
% 204.30/162.15 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.30/162.15 |
% 204.30/162.15 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_790_0_42715 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_790_0_42715, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.30/162.15 | (10885) all_790_0_42715 = 0
% 204.30/162.15 |
% 204.30/162.15 | Equations (10885) can reduce 10890 to:
% 204.30/162.15 | (62) $false
% 204.30/162.15 |
% 204.30/162.15 |-The branch is then unsatisfiable
% 204.30/162.15 |-Branch two:
% 204.30/162.15 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.30/162.15 |
% 204.30/162.15 | Applying alpha-rule on (6151) yields:
% 204.30/162.15 | (6152) ~ (all_562_0_40878 = 0)
% 204.30/162.15 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.30/162.15 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.30/162.15 |
% 204.30/162.15 +-Applying beta-rule and splitting (10881), into two cases.
% 204.30/162.15 |-Branch one:
% 204.30/162.15 | (10907) (all_789_0_42713 = 0 & greater_or_equal(all_789_1_42714, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42714) | (all_789_0_42713 = 0 & greater(all_33_1_35, all_789_1_42714) = 0 & end_time(all_33_4_38) = all_789_1_42714)
% 204.30/162.15 |
% 204.30/162.15 +-Applying beta-rule and splitting (10907), into two cases.
% 204.30/162.15 |-Branch one:
% 204.30/162.15 | (10908) all_789_0_42713 = 0 & greater_or_equal(all_789_1_42714, all_33_1_35) = 0 & end_time(all_33_4_38) = all_789_1_42714
% 204.30/162.15 |
% 204.30/162.15 | Applying alpha-rule on (10908) yields:
% 204.30/162.15 | (10909) all_789_0_42713 = 0
% 204.30/162.15 | (10910) greater_or_equal(all_789_1_42714, all_33_1_35) = 0
% 204.30/162.15 | (10911) end_time(all_33_4_38) = all_789_1_42714
% 204.30/162.15 |
% 204.30/162.15 | Instantiating formula (43) with all_33_4_38, all_789_1_42714, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42714, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.15 | (10912) all_789_1_42714 = all_33_1_35
% 204.30/162.15 |
% 204.30/162.15 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42714 and discharging atoms end_time(all_33_4_38) = all_789_1_42714, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.30/162.15 | (10913) all_789_1_42714 = all_562_1_40879
% 204.30/162.15 |
% 204.30/162.15 | Combining equations (10913,10912) yields a new equation:
% 204.30/162.15 | (6162) all_562_1_40879 = all_33_1_35
% 204.30/162.15 |
% 204.30/162.15 | Simplifying 6162 yields:
% 204.30/162.15 | (6163) all_562_1_40879 = all_33_1_35
% 204.30/162.15 |
% 204.30/162.15 | From (10912) and (10910) follows:
% 204.30/162.15 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.30/162.15 |
% 204.30/162.15 | From (6163) and (6153) follows:
% 204.30/162.15 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.30/162.15 |
% 204.30/162.15 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.30/162.15 | (6166) all_562_0_40878 = 0
% 204.30/162.15 |
% 204.30/162.16 | Equations (6166) can reduce 6152 to:
% 204.30/162.16 | (62) $false
% 204.30/162.16 |
% 204.30/162.16 |-The branch is then unsatisfiable
% 204.30/162.16 |-Branch two:
% 204.30/162.16 | (10920) all_789_0_42713 = 0 & greater(all_33_1_35, all_789_1_42714) = 0 & end_time(all_33_4_38) = all_789_1_42714
% 204.30/162.16 |
% 204.30/162.16 | Applying alpha-rule on (10920) yields:
% 204.30/162.16 | (10909) all_789_0_42713 = 0
% 204.30/162.16 | (10922) greater(all_33_1_35, all_789_1_42714) = 0
% 204.30/162.16 | (10911) end_time(all_33_4_38) = all_789_1_42714
% 204.30/162.16 |
% 204.30/162.16 | Instantiating formula (43) with all_33_4_38, all_789_1_42714, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_789_1_42714, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.16 | (10912) all_789_1_42714 = all_33_1_35
% 204.30/162.16 |
% 204.30/162.16 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_789_1_42714 and discharging atoms end_time(all_33_4_38) = all_789_1_42714, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.30/162.16 | (10913) all_789_1_42714 = all_562_1_40879
% 204.30/162.16 |
% 204.30/162.16 | Combining equations (10913,10912) yields a new equation:
% 204.30/162.16 | (6162) all_562_1_40879 = all_33_1_35
% 204.30/162.16 |
% 204.30/162.16 | Simplifying 6162 yields:
% 204.30/162.16 | (6163) all_562_1_40879 = all_33_1_35
% 204.30/162.16 |
% 204.30/162.16 | From (6163) and (6153) follows:
% 204.30/162.16 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.30/162.16 |
% 204.30/162.16 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.30/162.16 | (6166) all_562_0_40878 = 0
% 204.30/162.16 |
% 204.30/162.16 | Equations (6166) can reduce 6152 to:
% 204.30/162.16 | (62) $false
% 204.30/162.16 |
% 204.30/162.16 |-The branch is then unsatisfiable
% 204.30/162.16 |-Branch two:
% 204.30/162.16 | (10931) ~ (all_789_1_42714 = 0) & environment(all_33_4_38) = all_789_1_42714
% 204.30/162.16 |
% 204.30/162.16 | Applying alpha-rule on (10931) yields:
% 204.30/162.16 | (10932) ~ (all_789_1_42714 = 0)
% 204.30/162.16 | (10933) environment(all_33_4_38) = all_789_1_42714
% 204.30/162.16 |
% 204.30/162.16 | Instantiating formula (35) with all_33_4_38, all_789_1_42714, 0 and discharging atoms environment(all_33_4_38) = all_789_1_42714, environment(all_33_4_38) = 0, yields:
% 204.30/162.16 | (10934) all_789_1_42714 = 0
% 204.30/162.16 |
% 204.30/162.16 | Equations (10934) can reduce 10932 to:
% 204.30/162.16 | (62) $false
% 204.30/162.16 |
% 204.30/162.16 |-The branch is then unsatisfiable
% 204.30/162.16 |-Branch two:
% 204.30/162.16 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.30/162.16 |
% 204.30/162.16 | Applying alpha-rule on (6184) yields:
% 204.30/162.16 | (6185) ~ (all_562_1_40879 = 0)
% 204.30/162.16 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.30/162.16 |
% 204.30/162.16 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.30/162.16 | (6147) all_562_1_40879 = 0
% 204.30/162.16 |
% 204.30/162.16 | Equations (6147) can reduce 6185 to:
% 204.30/162.16 | (62) $false
% 204.30/162.16 |
% 204.30/162.16 |-The branch is then unsatisfiable
% 204.30/162.16 |-Branch two:
% 204.30/162.16 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.30/162.16 |
% 204.30/162.16 | Applying alpha-rule on (6189) yields:
% 204.30/162.16 | (6122) all_450_0_40845 = 0
% 204.30/162.16 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 204.30/162.16 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.30/162.16 |
% 204.30/162.16 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.16 | (6125) all_450_1_40846 = all_33_1_35
% 204.30/162.16 |
% 204.30/162.16 | From (6125) and (6124) follows:
% 204.30/162.16 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.30/162.16 |
% 204.30/162.16 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.30/162.16 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.30/162.16 |
% 204.30/162.16 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.30/162.16 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.30/162.16 |
% 204.30/162.16 | Instantiating (287) with all_774_0_42717 yields:
% 204.30/162.16 | (10949) (all_774_0_42717 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_42717 = 0) & environment(all_33_4_38) = all_774_0_42717) | ( ~ (all_774_0_42717 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_42717)
% 204.30/162.16 |
% 204.30/162.16 | Instantiating (6127) with all_775_0_42718, all_775_1_42719 yields:
% 204.30/162.17 | (10950) (all_775_0_42718 = 0 & greater_or_equal(all_775_1_42719, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42719) | (all_775_0_42718 = 0 & greater(all_33_1_35, all_775_1_42719) = 0 & end_time(all_33_4_38) = all_775_1_42719) | ( ~ (all_775_1_42719 = 0) & environment(all_33_4_38) = all_775_1_42719)
% 204.30/162.17 |
% 204.30/162.17 +-Applying beta-rule and splitting (10949), into two cases.
% 204.30/162.17 |-Branch one:
% 204.30/162.17 | (10951) (all_774_0_42717 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_42717 = 0) & environment(all_33_4_38) = all_774_0_42717)
% 204.30/162.17 |
% 204.30/162.17 +-Applying beta-rule and splitting (10951), into two cases.
% 204.30/162.17 |-Branch one:
% 204.30/162.17 | (10952) all_774_0_42717 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.30/162.17 |
% 204.30/162.17 | Applying alpha-rule on (10952) yields:
% 204.30/162.17 | (10953) all_774_0_42717 = 0
% 204.30/162.17 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.30/162.17 |
% 204.30/162.17 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.30/162.17 | (109) all_33_0_34 = 0
% 204.30/162.17 |
% 204.30/162.17 | Equations (109) can reduce 72 to:
% 204.30/162.17 | (62) $false
% 204.30/162.17 |
% 204.30/162.17 |-The branch is then unsatisfiable
% 204.30/162.17 |-Branch two:
% 204.30/162.17 | (10957) ~ (all_774_0_42717 = 0) & environment(all_33_4_38) = all_774_0_42717
% 204.30/162.17 |
% 204.30/162.17 | Applying alpha-rule on (10957) yields:
% 204.30/162.17 | (10958) ~ (all_774_0_42717 = 0)
% 204.30/162.17 | (10959) environment(all_33_4_38) = all_774_0_42717
% 204.30/162.17 |
% 204.30/162.17 | Instantiating formula (35) with all_33_4_38, all_774_0_42717, 0 and discharging atoms environment(all_33_4_38) = all_774_0_42717, environment(all_33_4_38) = 0, yields:
% 204.30/162.17 | (10953) all_774_0_42717 = 0
% 204.30/162.17 |
% 204.30/162.17 | Equations (10953) can reduce 10958 to:
% 204.30/162.17 | (62) $false
% 204.30/162.17 |
% 204.30/162.17 |-The branch is then unsatisfiable
% 204.30/162.17 |-Branch two:
% 204.30/162.17 | (10962) ~ (all_774_0_42717 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_42717
% 204.30/162.17 |
% 204.30/162.17 | Applying alpha-rule on (10962) yields:
% 204.30/162.17 | (10958) ~ (all_774_0_42717 = 0)
% 204.30/162.17 | (10964) in_environment(all_33_4_38, all_33_1_35) = all_774_0_42717
% 204.30/162.17 |
% 204.30/162.17 +-Applying beta-rule and splitting (6084), into two cases.
% 204.30/162.17 |-Branch one:
% 204.30/162.17 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.30/162.17 |
% 204.30/162.17 +-Applying beta-rule and splitting (6145), into two cases.
% 204.30/162.17 |-Branch one:
% 204.30/162.17 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.30/162.17 |
% 204.30/162.17 | Applying alpha-rule on (6146) yields:
% 204.30/162.17 | (6147) all_562_1_40879 = 0
% 204.30/162.17 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.30/162.17 |
% 204.30/162.17 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_774_0_42717 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_774_0_42717, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.30/162.17 | (10953) all_774_0_42717 = 0
% 204.30/162.17 |
% 204.30/162.17 | Equations (10953) can reduce 10958 to:
% 204.30/162.17 | (62) $false
% 204.30/162.17 |
% 204.30/162.17 |-The branch is then unsatisfiable
% 204.30/162.17 |-Branch two:
% 204.30/162.17 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.30/162.17 |
% 204.30/162.17 | Applying alpha-rule on (6151) yields:
% 204.30/162.17 | (6152) ~ (all_562_0_40878 = 0)
% 204.30/162.17 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.30/162.17 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.30/162.17 |
% 204.30/162.17 +-Applying beta-rule and splitting (10950), into two cases.
% 204.30/162.17 |-Branch one:
% 204.30/162.17 | (10975) (all_775_0_42718 = 0 & greater_or_equal(all_775_1_42719, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42719) | (all_775_0_42718 = 0 & greater(all_33_1_35, all_775_1_42719) = 0 & end_time(all_33_4_38) = all_775_1_42719)
% 204.30/162.17 |
% 204.30/162.17 +-Applying beta-rule and splitting (10975), into two cases.
% 204.30/162.17 |-Branch one:
% 204.30/162.17 | (10976) all_775_0_42718 = 0 & greater_or_equal(all_775_1_42719, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42719
% 204.30/162.17 |
% 204.30/162.17 | Applying alpha-rule on (10976) yields:
% 204.30/162.17 | (10977) all_775_0_42718 = 0
% 204.30/162.17 | (10978) greater_or_equal(all_775_1_42719, all_33_1_35) = 0
% 204.30/162.17 | (10979) end_time(all_33_4_38) = all_775_1_42719
% 204.30/162.17 |
% 204.30/162.17 | Instantiating formula (43) with all_33_4_38, all_775_1_42719, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_42719, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.17 | (10980) all_775_1_42719 = all_33_1_35
% 204.30/162.17 |
% 204.30/162.17 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_42719 and discharging atoms end_time(all_33_4_38) = all_775_1_42719, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.30/162.17 | (10981) all_775_1_42719 = all_562_1_40879
% 204.30/162.17 |
% 204.30/162.18 | Combining equations (10981,10980) yields a new equation:
% 204.30/162.18 | (6162) all_562_1_40879 = all_33_1_35
% 204.30/162.18 |
% 204.30/162.18 | Simplifying 6162 yields:
% 204.30/162.18 | (6163) all_562_1_40879 = all_33_1_35
% 204.30/162.18 |
% 204.30/162.18 | From (10980) and (10978) follows:
% 204.30/162.18 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.30/162.18 |
% 204.30/162.18 | From (6163) and (6153) follows:
% 204.30/162.18 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.30/162.18 |
% 204.30/162.18 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.30/162.18 | (6166) all_562_0_40878 = 0
% 204.30/162.18 |
% 204.30/162.18 | Equations (6166) can reduce 6152 to:
% 204.30/162.18 | (62) $false
% 204.30/162.18 |
% 204.30/162.18 |-The branch is then unsatisfiable
% 204.30/162.18 |-Branch two:
% 204.30/162.18 | (10988) all_775_0_42718 = 0 & greater(all_33_1_35, all_775_1_42719) = 0 & end_time(all_33_4_38) = all_775_1_42719
% 204.30/162.18 |
% 204.30/162.18 | Applying alpha-rule on (10988) yields:
% 204.30/162.18 | (10977) all_775_0_42718 = 0
% 204.30/162.18 | (10990) greater(all_33_1_35, all_775_1_42719) = 0
% 204.30/162.18 | (10979) end_time(all_33_4_38) = all_775_1_42719
% 204.30/162.18 |
% 204.30/162.18 | Instantiating formula (43) with all_33_4_38, all_775_1_42719, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_42719, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.18 | (10980) all_775_1_42719 = all_33_1_35
% 204.30/162.18 |
% 204.30/162.18 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_42719 and discharging atoms end_time(all_33_4_38) = all_775_1_42719, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.30/162.18 | (10981) all_775_1_42719 = all_562_1_40879
% 204.30/162.18 |
% 204.30/162.18 | Combining equations (10981,10980) yields a new equation:
% 204.30/162.18 | (6162) all_562_1_40879 = all_33_1_35
% 204.30/162.18 |
% 204.30/162.18 | Simplifying 6162 yields:
% 204.30/162.18 | (6163) all_562_1_40879 = all_33_1_35
% 204.30/162.18 |
% 204.30/162.18 | From (6163) and (6153) follows:
% 204.30/162.18 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.30/162.18 |
% 204.30/162.18 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.30/162.18 | (6166) all_562_0_40878 = 0
% 204.30/162.18 |
% 204.30/162.18 | Equations (6166) can reduce 6152 to:
% 204.30/162.18 | (62) $false
% 204.30/162.18 |
% 204.30/162.18 |-The branch is then unsatisfiable
% 204.30/162.18 |-Branch two:
% 204.30/162.18 | (10999) ~ (all_775_1_42719 = 0) & environment(all_33_4_38) = all_775_1_42719
% 204.30/162.18 |
% 204.30/162.18 | Applying alpha-rule on (10999) yields:
% 204.30/162.18 | (11000) ~ (all_775_1_42719 = 0)
% 204.30/162.18 | (11001) environment(all_33_4_38) = all_775_1_42719
% 204.30/162.18 |
% 204.30/162.18 | Instantiating formula (35) with all_33_4_38, all_775_1_42719, 0 and discharging atoms environment(all_33_4_38) = all_775_1_42719, environment(all_33_4_38) = 0, yields:
% 204.30/162.18 | (11002) all_775_1_42719 = 0
% 204.30/162.18 |
% 204.30/162.18 | Equations (11002) can reduce 11000 to:
% 204.30/162.18 | (62) $false
% 204.30/162.18 |
% 204.30/162.18 |-The branch is then unsatisfiable
% 204.30/162.18 |-Branch two:
% 204.30/162.18 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.30/162.18 |
% 204.30/162.18 | Applying alpha-rule on (6184) yields:
% 204.30/162.18 | (6185) ~ (all_562_1_40879 = 0)
% 204.30/162.18 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.30/162.18 |
% 204.30/162.18 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.30/162.18 | (6147) all_562_1_40879 = 0
% 204.30/162.18 |
% 204.30/162.18 | Equations (6147) can reduce 6185 to:
% 204.30/162.18 | (62) $false
% 204.30/162.18 |
% 204.30/162.18 |-The branch is then unsatisfiable
% 204.30/162.18 |-Branch two:
% 204.30/162.18 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 204.30/162.18 |
% 204.30/162.18 | Applying alpha-rule on (6257) yields:
% 204.30/162.18 | (6258) ~ (all_450_1_40846 = 0)
% 204.30/162.19 | (6259) environment(all_33_4_38) = all_450_1_40846
% 204.30/162.19 |
% 204.30/162.19 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 204.30/162.19 | (6260) all_450_1_40846 = 0
% 204.30/162.19 |
% 204.30/162.19 | Equations (6260) can reduce 6258 to:
% 204.30/162.19 | (62) $false
% 204.30/162.19 |
% 204.30/162.19 |-The branch is then unsatisfiable
% 204.30/162.19 |-Branch two:
% 204.30/162.19 | (6262) all_449_0_40843 = 0 & greater(all_61_2_79, all_449_1_40844) = 0 & end_time(all_33_4_38) = all_449_1_40844
% 204.30/162.19 |
% 204.30/162.19 | Applying alpha-rule on (6262) yields:
% 204.30/162.19 | (6115) all_449_0_40843 = 0
% 204.30/162.19 | (6264) greater(all_61_2_79, all_449_1_40844) = 0
% 204.30/162.19 | (6117) end_time(all_33_4_38) = all_449_1_40844
% 204.30/162.19 |
% 204.30/162.19 | Instantiating formula (43) with all_33_4_38, all_449_1_40844, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_449_1_40844, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.19 | (6118) all_449_1_40844 = all_33_1_35
% 204.30/162.19 |
% 204.30/162.19 | From (6118) and (6117) follows:
% 204.30/162.19 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.30/162.19 |
% 204.30/162.19 +-Applying beta-rule and splitting (6073), into two cases.
% 204.30/162.19 |-Branch one:
% 204.30/162.19 | (6120) (all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846) | (all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846)
% 204.30/162.19 |
% 204.30/162.19 +-Applying beta-rule and splitting (6120), into two cases.
% 204.30/162.19 |-Branch one:
% 204.30/162.19 | (6121) all_450_0_40845 = 0 & greater_or_equal(all_450_1_40846, all_135_2_141) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.30/162.19 |
% 204.30/162.19 | Applying alpha-rule on (6121) yields:
% 204.30/162.19 | (6122) all_450_0_40845 = 0
% 204.30/162.19 | (6123) greater_or_equal(all_450_1_40846, all_135_2_141) = 0
% 204.30/162.19 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.30/162.19 |
% 204.30/162.19 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.30/162.19 | (6125) all_450_1_40846 = all_33_1_35
% 204.30/162.19 |
% 204.30/162.19 | From (6125) and (6124) follows:
% 204.30/162.19 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.30/162.19 |
% 204.30/162.19 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.30/162.19 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.30/162.19 |
% 204.30/162.19 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.30/162.19 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.30/162.19 |
% 204.30/162.19 | Instantiating (287) with all_774_0_42747 yields:
% 204.30/162.19 | (11029) (all_774_0_42747 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_42747 = 0) & environment(all_33_4_38) = all_774_0_42747) | ( ~ (all_774_0_42747 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_42747)
% 204.30/162.19 |
% 204.30/162.19 | Instantiating (6127) with all_775_0_42748, all_775_1_42749 yields:
% 204.30/162.19 | (11030) (all_775_0_42748 = 0 & greater_or_equal(all_775_1_42749, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42749) | (all_775_0_42748 = 0 & greater(all_33_1_35, all_775_1_42749) = 0 & end_time(all_33_4_38) = all_775_1_42749) | ( ~ (all_775_1_42749 = 0) & environment(all_33_4_38) = all_775_1_42749)
% 204.30/162.19 |
% 204.30/162.19 +-Applying beta-rule and splitting (11029), into two cases.
% 204.30/162.19 |-Branch one:
% 204.30/162.19 | (11031) (all_774_0_42747 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_774_0_42747 = 0) & environment(all_33_4_38) = all_774_0_42747)
% 204.30/162.19 |
% 204.30/162.19 +-Applying beta-rule and splitting (11031), into two cases.
% 204.30/162.19 |-Branch one:
% 204.30/162.19 | (11032) all_774_0_42747 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.30/162.19 |
% 204.30/162.19 | Applying alpha-rule on (11032) yields:
% 204.30/162.19 | (11033) all_774_0_42747 = 0
% 204.30/162.19 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.30/162.19 |
% 204.30/162.19 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.30/162.19 | (109) all_33_0_34 = 0
% 204.30/162.19 |
% 204.30/162.19 | Equations (109) can reduce 72 to:
% 204.30/162.19 | (62) $false
% 204.30/162.19 |
% 204.30/162.19 |-The branch is then unsatisfiable
% 204.30/162.19 |-Branch two:
% 204.30/162.19 | (11037) ~ (all_774_0_42747 = 0) & environment(all_33_4_38) = all_774_0_42747
% 204.30/162.19 |
% 204.30/162.19 | Applying alpha-rule on (11037) yields:
% 204.30/162.19 | (11038) ~ (all_774_0_42747 = 0)
% 204.30/162.19 | (11039) environment(all_33_4_38) = all_774_0_42747
% 204.30/162.19 |
% 204.30/162.19 | Instantiating formula (35) with all_33_4_38, all_774_0_42747, 0 and discharging atoms environment(all_33_4_38) = all_774_0_42747, environment(all_33_4_38) = 0, yields:
% 204.30/162.19 | (11033) all_774_0_42747 = 0
% 204.30/162.19 |
% 204.30/162.19 | Equations (11033) can reduce 11038 to:
% 204.30/162.19 | (62) $false
% 204.30/162.19 |
% 204.30/162.19 |-The branch is then unsatisfiable
% 204.30/162.19 |-Branch two:
% 204.30/162.19 | (11042) ~ (all_774_0_42747 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_774_0_42747
% 204.30/162.19 |
% 204.30/162.19 | Applying alpha-rule on (11042) yields:
% 204.30/162.19 | (11038) ~ (all_774_0_42747 = 0)
% 204.30/162.20 | (11044) in_environment(all_33_4_38, all_33_1_35) = all_774_0_42747
% 204.30/162.20 |
% 204.30/162.20 +-Applying beta-rule and splitting (6084), into two cases.
% 204.30/162.20 |-Branch one:
% 204.30/162.20 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.30/162.20 |
% 204.30/162.20 +-Applying beta-rule and splitting (6145), into two cases.
% 204.30/162.20 |-Branch one:
% 204.30/162.20 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.30/162.20 |
% 204.30/162.20 | Applying alpha-rule on (6146) yields:
% 204.30/162.20 | (6147) all_562_1_40879 = 0
% 204.30/162.20 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.30/162.20 |
% 204.30/162.20 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_774_0_42747 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_774_0_42747, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.30/162.20 | (11033) all_774_0_42747 = 0
% 204.30/162.20 |
% 204.30/162.20 | Equations (11033) can reduce 11038 to:
% 204.30/162.20 | (62) $false
% 204.30/162.20 |
% 204.30/162.20 |-The branch is then unsatisfiable
% 204.30/162.20 |-Branch two:
% 204.30/162.20 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.30/162.20 |
% 204.30/162.20 | Applying alpha-rule on (6151) yields:
% 204.30/162.20 | (6152) ~ (all_562_0_40878 = 0)
% 204.40/162.20 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.40/162.20 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.40/162.20 |
% 204.40/162.20 +-Applying beta-rule and splitting (11030), into two cases.
% 204.40/162.20 |-Branch one:
% 204.40/162.20 | (11055) (all_775_0_42748 = 0 & greater_or_equal(all_775_1_42749, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42749) | (all_775_0_42748 = 0 & greater(all_33_1_35, all_775_1_42749) = 0 & end_time(all_33_4_38) = all_775_1_42749)
% 204.40/162.20 |
% 204.40/162.20 +-Applying beta-rule and splitting (11055), into two cases.
% 204.40/162.20 |-Branch one:
% 204.40/162.20 | (11056) all_775_0_42748 = 0 & greater_or_equal(all_775_1_42749, all_33_1_35) = 0 & end_time(all_33_4_38) = all_775_1_42749
% 204.40/162.20 |
% 204.40/162.20 | Applying alpha-rule on (11056) yields:
% 204.40/162.20 | (11057) all_775_0_42748 = 0
% 204.40/162.20 | (11058) greater_or_equal(all_775_1_42749, all_33_1_35) = 0
% 204.40/162.20 | (11059) end_time(all_33_4_38) = all_775_1_42749
% 204.40/162.20 |
% 204.40/162.20 | Instantiating formula (43) with all_33_4_38, all_775_1_42749, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_42749, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.40/162.20 | (11060) all_775_1_42749 = all_33_1_35
% 204.40/162.20 |
% 204.40/162.20 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_42749 and discharging atoms end_time(all_33_4_38) = all_775_1_42749, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.40/162.20 | (11061) all_775_1_42749 = all_562_1_40879
% 204.40/162.20 |
% 204.40/162.20 | Combining equations (11061,11060) yields a new equation:
% 204.40/162.20 | (6162) all_562_1_40879 = all_33_1_35
% 204.40/162.20 |
% 204.40/162.20 | Simplifying 6162 yields:
% 204.40/162.20 | (6163) all_562_1_40879 = all_33_1_35
% 204.40/162.20 |
% 204.40/162.20 | From (11060) and (11058) follows:
% 204.40/162.20 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.40/162.20 |
% 204.40/162.20 | From (6163) and (6153) follows:
% 204.40/162.20 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.40/162.20 |
% 204.40/162.20 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.40/162.20 | (6166) all_562_0_40878 = 0
% 204.40/162.20 |
% 204.40/162.20 | Equations (6166) can reduce 6152 to:
% 204.40/162.20 | (62) $false
% 204.40/162.20 |
% 204.40/162.20 |-The branch is then unsatisfiable
% 204.40/162.20 |-Branch two:
% 204.40/162.20 | (11068) all_775_0_42748 = 0 & greater(all_33_1_35, all_775_1_42749) = 0 & end_time(all_33_4_38) = all_775_1_42749
% 204.40/162.20 |
% 204.40/162.20 | Applying alpha-rule on (11068) yields:
% 204.40/162.20 | (11057) all_775_0_42748 = 0
% 204.40/162.20 | (11070) greater(all_33_1_35, all_775_1_42749) = 0
% 204.40/162.20 | (11059) end_time(all_33_4_38) = all_775_1_42749
% 204.40/162.20 |
% 204.40/162.20 | Instantiating formula (43) with all_33_4_38, all_775_1_42749, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_775_1_42749, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.40/162.20 | (11060) all_775_1_42749 = all_33_1_35
% 204.40/162.20 |
% 204.40/162.20 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_775_1_42749 and discharging atoms end_time(all_33_4_38) = all_775_1_42749, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.40/162.20 | (11061) all_775_1_42749 = all_562_1_40879
% 204.40/162.20 |
% 204.40/162.21 | Combining equations (11061,11060) yields a new equation:
% 204.40/162.21 | (6162) all_562_1_40879 = all_33_1_35
% 204.40/162.21 |
% 204.40/162.21 | Simplifying 6162 yields:
% 204.40/162.21 | (6163) all_562_1_40879 = all_33_1_35
% 204.40/162.21 |
% 204.40/162.21 | From (6163) and (6153) follows:
% 204.40/162.21 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.40/162.21 |
% 204.40/162.21 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.40/162.21 | (6166) all_562_0_40878 = 0
% 204.40/162.21 |
% 204.40/162.21 | Equations (6166) can reduce 6152 to:
% 204.40/162.21 | (62) $false
% 204.40/162.21 |
% 204.40/162.21 |-The branch is then unsatisfiable
% 204.40/162.21 |-Branch two:
% 204.40/162.21 | (11079) ~ (all_775_1_42749 = 0) & environment(all_33_4_38) = all_775_1_42749
% 204.40/162.21 |
% 204.40/162.21 | Applying alpha-rule on (11079) yields:
% 204.40/162.21 | (11080) ~ (all_775_1_42749 = 0)
% 204.40/162.21 | (11081) environment(all_33_4_38) = all_775_1_42749
% 204.40/162.21 |
% 204.40/162.21 | Instantiating formula (35) with all_33_4_38, all_775_1_42749, 0 and discharging atoms environment(all_33_4_38) = all_775_1_42749, environment(all_33_4_38) = 0, yields:
% 204.40/162.21 | (11082) all_775_1_42749 = 0
% 204.40/162.21 |
% 204.40/162.21 | Equations (11082) can reduce 11080 to:
% 204.40/162.21 | (62) $false
% 204.40/162.21 |
% 204.40/162.21 |-The branch is then unsatisfiable
% 204.40/162.21 |-Branch two:
% 204.40/162.21 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.40/162.21 |
% 204.40/162.21 | Applying alpha-rule on (6184) yields:
% 204.40/162.21 | (6185) ~ (all_562_1_40879 = 0)
% 204.40/162.21 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.40/162.21 |
% 204.40/162.21 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.40/162.21 | (6147) all_562_1_40879 = 0
% 204.40/162.21 |
% 204.40/162.21 | Equations (6147) can reduce 6185 to:
% 204.40/162.21 | (62) $false
% 204.40/162.21 |
% 204.40/162.21 |-The branch is then unsatisfiable
% 204.40/162.21 |-Branch two:
% 204.40/162.21 | (6189) all_450_0_40845 = 0 & greater(all_135_2_141, all_450_1_40846) = 0 & end_time(all_33_4_38) = all_450_1_40846
% 204.40/162.21 |
% 204.40/162.21 | Applying alpha-rule on (6189) yields:
% 204.40/162.21 | (6122) all_450_0_40845 = 0
% 204.40/162.21 | (6191) greater(all_135_2_141, all_450_1_40846) = 0
% 204.40/162.21 | (6124) end_time(all_33_4_38) = all_450_1_40846
% 204.40/162.21 |
% 204.40/162.21 | Instantiating formula (43) with all_33_4_38, all_450_1_40846, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_450_1_40846, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.40/162.21 | (6125) all_450_1_40846 = all_33_1_35
% 204.40/162.21 |
% 204.40/162.21 | From (6125) and (6124) follows:
% 204.40/162.21 | (67) end_time(all_33_4_38) = all_33_1_35
% 204.40/162.21 |
% 204.40/162.21 | Instantiating formula (44) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms start_time(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.40/162.21 | (6127) ? [v0] : ? [v1] : ((v1 = 0 & greater_or_equal(v0, all_33_1_35) = 0 & end_time(all_33_4_38) = v0) | (v1 = 0 & greater(all_33_1_35, v0) = 0 & end_time(all_33_4_38) = v0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0))
% 204.40/162.21 |
% 204.40/162.21 | Instantiating formula (29) with all_48_3_44, all_33_1_35, all_33_4_38 and discharging atoms critical_point(all_33_4_38) = all_48_3_44, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.40/162.21 | (287) ? [v0] : ((v0 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (v0 = 0) & environment(all_33_4_38) = v0) | ( ~ (v0 = 0) & in_environment(all_33_4_38, all_33_1_35) = v0))
% 204.40/162.21 |
% 204.40/162.21 | Instantiating (6127) with all_774_0_42777, all_774_1_42778 yields:
% 204.40/162.21 | (11097) (all_774_0_42777 = 0 & greater_or_equal(all_774_1_42778, all_33_1_35) = 0 & end_time(all_33_4_38) = all_774_1_42778) | (all_774_0_42777 = 0 & greater(all_33_1_35, all_774_1_42778) = 0 & end_time(all_33_4_38) = all_774_1_42778) | ( ~ (all_774_1_42778 = 0) & environment(all_33_4_38) = all_774_1_42778)
% 204.40/162.21 |
% 204.40/162.21 | Instantiating (287) with all_791_0_42806 yields:
% 204.40/162.21 | (11098) (all_791_0_42806 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_791_0_42806 = 0) & environment(all_33_4_38) = all_791_0_42806) | ( ~ (all_791_0_42806 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_791_0_42806)
% 204.40/162.21 |
% 204.40/162.21 +-Applying beta-rule and splitting (11098), into two cases.
% 204.40/162.21 |-Branch one:
% 204.40/162.21 | (11099) (all_791_0_42806 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0) | ( ~ (all_791_0_42806 = 0) & environment(all_33_4_38) = all_791_0_42806)
% 204.40/162.21 |
% 204.40/162.21 +-Applying beta-rule and splitting (11099), into two cases.
% 204.40/162.21 |-Branch one:
% 204.40/162.21 | (11100) all_791_0_42806 = 0 & selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.40/162.21 |
% 204.40/162.21 | Applying alpha-rule on (11100) yields:
% 204.40/162.21 | (11101) all_791_0_42806 = 0
% 204.40/162.21 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.40/162.21 |
% 204.40/162.21 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.40/162.21 | (109) all_33_0_34 = 0
% 204.40/162.21 |
% 204.40/162.21 | Equations (109) can reduce 72 to:
% 204.40/162.21 | (62) $false
% 204.40/162.21 |
% 204.40/162.21 |-The branch is then unsatisfiable
% 204.40/162.21 |-Branch two:
% 204.40/162.21 | (11105) ~ (all_791_0_42806 = 0) & environment(all_33_4_38) = all_791_0_42806
% 204.40/162.21 |
% 204.40/162.21 | Applying alpha-rule on (11105) yields:
% 204.40/162.21 | (11106) ~ (all_791_0_42806 = 0)
% 204.40/162.22 | (11107) environment(all_33_4_38) = all_791_0_42806
% 204.40/162.22 |
% 204.40/162.22 | Instantiating formula (35) with all_33_4_38, all_791_0_42806, 0 and discharging atoms environment(all_33_4_38) = all_791_0_42806, environment(all_33_4_38) = 0, yields:
% 204.40/162.22 | (11101) all_791_0_42806 = 0
% 204.40/162.22 |
% 204.40/162.22 | Equations (11101) can reduce 11106 to:
% 204.40/162.22 | (62) $false
% 204.40/162.22 |
% 204.40/162.22 |-The branch is then unsatisfiable
% 204.40/162.22 |-Branch two:
% 204.40/162.22 | (11110) ~ (all_791_0_42806 = 0) & in_environment(all_33_4_38, all_33_1_35) = all_791_0_42806
% 204.40/162.22 |
% 204.40/162.22 | Applying alpha-rule on (11110) yields:
% 204.40/162.22 | (11106) ~ (all_791_0_42806 = 0)
% 204.40/162.22 | (11112) in_environment(all_33_4_38, all_33_1_35) = all_791_0_42806
% 204.40/162.22 |
% 204.40/162.22 +-Applying beta-rule and splitting (6084), into two cases.
% 204.40/162.22 |-Branch one:
% 204.40/162.22 | (6145) (all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0) | ( ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879)
% 204.40/162.22 |
% 204.40/162.22 +-Applying beta-rule and splitting (6145), into two cases.
% 204.40/162.22 |-Branch one:
% 204.40/162.22 | (6146) all_562_1_40879 = 0 & in_environment(all_33_4_38, all_33_1_35) = 0
% 204.40/162.22 |
% 204.40/162.22 | Applying alpha-rule on (6146) yields:
% 204.40/162.22 | (6147) all_562_1_40879 = 0
% 204.40/162.22 | (355) in_environment(all_33_4_38, all_33_1_35) = 0
% 204.40/162.22 |
% 204.40/162.22 | Instantiating formula (42) with all_33_4_38, all_33_1_35, 0, all_791_0_42806 and discharging atoms in_environment(all_33_4_38, all_33_1_35) = all_791_0_42806, in_environment(all_33_4_38, all_33_1_35) = 0, yields:
% 204.40/162.22 | (11101) all_791_0_42806 = 0
% 204.40/162.22 |
% 204.40/162.22 | Equations (11101) can reduce 11106 to:
% 204.40/162.22 | (62) $false
% 204.40/162.22 |
% 204.40/162.22 |-The branch is then unsatisfiable
% 204.40/162.22 |-Branch two:
% 204.40/162.22 | (6151) ~ (all_562_0_40878 = 0) & greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878 & end_time(all_33_4_38) = all_562_1_40879
% 204.40/162.22 |
% 204.40/162.22 | Applying alpha-rule on (6151) yields:
% 204.40/162.22 | (6152) ~ (all_562_0_40878 = 0)
% 204.40/162.22 | (6153) greater_or_equal(all_562_1_40879, all_33_1_35) = all_562_0_40878
% 204.40/162.22 | (6154) end_time(all_33_4_38) = all_562_1_40879
% 204.40/162.22 |
% 204.40/162.22 +-Applying beta-rule and splitting (11097), into two cases.
% 204.40/162.22 |-Branch one:
% 204.40/162.22 | (11123) (all_774_0_42777 = 0 & greater_or_equal(all_774_1_42778, all_33_1_35) = 0 & end_time(all_33_4_38) = all_774_1_42778) | (all_774_0_42777 = 0 & greater(all_33_1_35, all_774_1_42778) = 0 & end_time(all_33_4_38) = all_774_1_42778)
% 204.40/162.22 |
% 204.40/162.22 +-Applying beta-rule and splitting (11123), into two cases.
% 204.40/162.22 |-Branch one:
% 204.40/162.22 | (11124) all_774_0_42777 = 0 & greater_or_equal(all_774_1_42778, all_33_1_35) = 0 & end_time(all_33_4_38) = all_774_1_42778
% 204.40/162.22 |
% 204.40/162.22 | Applying alpha-rule on (11124) yields:
% 204.40/162.22 | (11125) all_774_0_42777 = 0
% 204.40/162.22 | (11126) greater_or_equal(all_774_1_42778, all_33_1_35) = 0
% 204.40/162.22 | (11127) end_time(all_33_4_38) = all_774_1_42778
% 204.40/162.22 |
% 204.40/162.22 | Instantiating formula (43) with all_33_4_38, all_774_1_42778, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_774_1_42778, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.40/162.22 | (11128) all_774_1_42778 = all_33_1_35
% 204.40/162.22 |
% 204.40/162.22 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_774_1_42778 and discharging atoms end_time(all_33_4_38) = all_774_1_42778, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.40/162.22 | (11129) all_774_1_42778 = all_562_1_40879
% 204.40/162.22 |
% 204.40/162.22 | Combining equations (11129,11128) yields a new equation:
% 204.40/162.22 | (6162) all_562_1_40879 = all_33_1_35
% 204.40/162.22 |
% 204.40/162.22 | Simplifying 6162 yields:
% 204.40/162.22 | (6163) all_562_1_40879 = all_33_1_35
% 204.40/162.22 |
% 204.40/162.22 | From (11128) and (11126) follows:
% 204.40/162.22 | (6164) greater_or_equal(all_33_1_35, all_33_1_35) = 0
% 204.40/162.22 |
% 204.40/162.22 | From (6163) and (6153) follows:
% 204.40/162.22 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.40/162.22 |
% 204.40/162.22 | Instantiating formula (4) with all_33_1_35, all_33_1_35, 0, all_562_0_40878 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, greater_or_equal(all_33_1_35, all_33_1_35) = 0, yields:
% 204.40/162.22 | (6166) all_562_0_40878 = 0
% 204.40/162.22 |
% 204.40/162.22 | Equations (6166) can reduce 6152 to:
% 204.40/162.22 | (62) $false
% 204.40/162.22 |
% 204.40/162.22 |-The branch is then unsatisfiable
% 204.40/162.22 |-Branch two:
% 204.40/162.23 | (11136) all_774_0_42777 = 0 & greater(all_33_1_35, all_774_1_42778) = 0 & end_time(all_33_4_38) = all_774_1_42778
% 204.40/162.23 |
% 204.40/162.23 | Applying alpha-rule on (11136) yields:
% 204.40/162.23 | (11125) all_774_0_42777 = 0
% 204.40/162.23 | (11138) greater(all_33_1_35, all_774_1_42778) = 0
% 204.40/162.23 | (11127) end_time(all_33_4_38) = all_774_1_42778
% 204.40/162.23 |
% 204.40/162.23 | Instantiating formula (43) with all_33_4_38, all_774_1_42778, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_774_1_42778, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.40/162.23 | (11128) all_774_1_42778 = all_33_1_35
% 204.40/162.23 |
% 204.40/162.23 | Instantiating formula (43) with all_33_4_38, all_562_1_40879, all_774_1_42778 and discharging atoms end_time(all_33_4_38) = all_774_1_42778, end_time(all_33_4_38) = all_562_1_40879, yields:
% 204.40/162.23 | (11129) all_774_1_42778 = all_562_1_40879
% 204.40/162.23 |
% 204.40/162.23 | Combining equations (11129,11128) yields a new equation:
% 204.40/162.23 | (6162) all_562_1_40879 = all_33_1_35
% 204.40/162.23 |
% 204.40/162.23 | Simplifying 6162 yields:
% 204.40/162.23 | (6163) all_562_1_40879 = all_33_1_35
% 204.40/162.23 |
% 204.40/162.23 | From (6163) and (6153) follows:
% 204.40/162.23 | (6165) greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878
% 204.40/162.23 |
% 204.40/162.23 | Instantiating formula (34) with all_562_0_40878, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_33_1_35) = all_562_0_40878, yields:
% 204.40/162.23 | (6166) all_562_0_40878 = 0
% 204.40/162.23 |
% 204.40/162.23 | Equations (6166) can reduce 6152 to:
% 204.40/162.23 | (62) $false
% 204.40/162.23 |
% 204.40/162.23 |-The branch is then unsatisfiable
% 204.40/162.23 |-Branch two:
% 204.40/162.23 | (11147) ~ (all_774_1_42778 = 0) & environment(all_33_4_38) = all_774_1_42778
% 204.40/162.23 |
% 204.40/162.23 | Applying alpha-rule on (11147) yields:
% 204.40/162.23 | (11148) ~ (all_774_1_42778 = 0)
% 204.40/162.23 | (11149) environment(all_33_4_38) = all_774_1_42778
% 204.40/162.23 |
% 204.40/162.23 | Instantiating formula (35) with all_33_4_38, all_774_1_42778, 0 and discharging atoms environment(all_33_4_38) = all_774_1_42778, environment(all_33_4_38) = 0, yields:
% 204.40/162.23 | (11150) all_774_1_42778 = 0
% 204.40/162.23 |
% 204.40/162.23 | Equations (11150) can reduce 11148 to:
% 204.40/162.23 | (62) $false
% 204.40/162.23 |
% 204.40/162.23 |-The branch is then unsatisfiable
% 204.40/162.23 |-Branch two:
% 204.40/162.23 | (6184) ~ (all_562_1_40879 = 0) & environment(all_33_4_38) = all_562_1_40879
% 204.40/162.23 |
% 204.40/162.23 | Applying alpha-rule on (6184) yields:
% 204.40/162.23 | (6185) ~ (all_562_1_40879 = 0)
% 204.40/162.23 | (6186) environment(all_33_4_38) = all_562_1_40879
% 204.40/162.23 |
% 204.40/162.23 | Instantiating formula (35) with all_33_4_38, all_562_1_40879, 0 and discharging atoms environment(all_33_4_38) = all_562_1_40879, environment(all_33_4_38) = 0, yields:
% 204.40/162.23 | (6147) all_562_1_40879 = 0
% 204.40/162.23 |
% 204.40/162.23 | Equations (6147) can reduce 6185 to:
% 204.40/162.23 | (62) $false
% 204.40/162.23 |
% 204.40/162.23 |-The branch is then unsatisfiable
% 204.40/162.23 |-Branch two:
% 204.40/162.23 | (6257) ~ (all_450_1_40846 = 0) & environment(all_33_4_38) = all_450_1_40846
% 204.40/162.23 |
% 204.40/162.23 | Applying alpha-rule on (6257) yields:
% 204.40/162.23 | (6258) ~ (all_450_1_40846 = 0)
% 204.40/162.23 | (6259) environment(all_33_4_38) = all_450_1_40846
% 204.40/162.23 |
% 204.40/162.23 | Instantiating formula (35) with all_33_4_38, all_450_1_40846, 0 and discharging atoms environment(all_33_4_38) = all_450_1_40846, environment(all_33_4_38) = 0, yields:
% 204.40/162.23 | (6260) all_450_1_40846 = 0
% 204.40/162.23 |
% 204.40/162.23 | Equations (6260) can reduce 6258 to:
% 204.40/162.23 | (62) $false
% 204.40/162.23 |
% 204.40/162.23 |-The branch is then unsatisfiable
% 204.40/162.23 |-Branch two:
% 204.40/162.23 | (6410) ~ (all_449_1_40844 = 0) & environment(all_33_4_38) = all_449_1_40844
% 204.40/162.23 |
% 204.40/162.23 | Applying alpha-rule on (6410) yields:
% 204.40/162.23 | (6411) ~ (all_449_1_40844 = 0)
% 204.40/162.23 | (6412) environment(all_33_4_38) = all_449_1_40844
% 204.40/162.23 |
% 204.40/162.23 | Instantiating formula (35) with all_33_4_38, all_449_1_40844, 0 and discharging atoms environment(all_33_4_38) = all_449_1_40844, environment(all_33_4_38) = 0, yields:
% 204.40/162.23 | (6413) all_449_1_40844 = 0
% 204.40/162.23 |
% 204.40/162.23 | Equations (6413) can reduce 6411 to:
% 204.40/162.23 | (62) $false
% 204.40/162.23 |
% 204.40/162.23 |-The branch is then unsatisfiable
% 204.40/162.24 |-Branch two:
% 204.40/162.24 | (6723) ~ (all_448_1_40842 = 0) & environment(all_33_4_38) = all_448_1_40842
% 204.40/162.24 |
% 204.40/162.24 | Applying alpha-rule on (6723) yields:
% 204.40/162.24 | (6724) ~ (all_448_1_40842 = 0)
% 204.40/162.24 | (6725) environment(all_33_4_38) = all_448_1_40842
% 204.40/162.24 |
% 204.40/162.24 | Instantiating formula (35) with all_33_4_38, all_448_1_40842, 0 and discharging atoms environment(all_33_4_38) = all_448_1_40842, environment(all_33_4_38) = 0, yields:
% 204.40/162.24 | (6726) all_448_1_40842 = 0
% 204.40/162.24 |
% 204.40/162.24 | Equations (6726) can reduce 6724 to:
% 204.40/162.24 | (62) $false
% 204.40/162.24 |
% 204.40/162.24 |-The branch is then unsatisfiable
% 204.40/162.24 |-Branch two:
% 204.40/162.24 | (7356) ~ (all_447_1_40840 = 0) & environment(all_33_4_38) = all_447_1_40840
% 204.40/162.24 |
% 204.40/162.24 | Applying alpha-rule on (7356) yields:
% 204.40/162.24 | (7357) ~ (all_447_1_40840 = 0)
% 204.40/162.24 | (7358) environment(all_33_4_38) = all_447_1_40840
% 204.40/162.24 |
% 204.40/162.24 | Instantiating formula (35) with all_33_4_38, all_447_1_40840, 0 and discharging atoms environment(all_33_4_38) = all_447_1_40840, environment(all_33_4_38) = 0, yields:
% 204.40/162.24 | (7359) all_447_1_40840 = 0
% 204.40/162.24 |
% 204.40/162.24 | Equations (7359) can reduce 7357 to:
% 204.40/162.24 | (62) $false
% 204.40/162.24 |
% 204.40/162.24 |-The branch is then unsatisfiable
% 204.40/162.24 |-Branch two:
% 204.40/162.24 | (8629) ~ (all_444_1_40834 = 0) & environment(all_33_4_38) = all_444_1_40834
% 204.40/162.24 |
% 204.40/162.24 | Applying alpha-rule on (8629) yields:
% 204.40/162.24 | (8630) ~ (all_444_1_40834 = 0)
% 204.40/162.24 | (8631) environment(all_33_4_38) = all_444_1_40834
% 204.40/162.24 |
% 204.40/162.24 | Instantiating formula (35) with all_33_4_38, all_444_1_40834, 0 and discharging atoms environment(all_33_4_38) = all_444_1_40834, environment(all_33_4_38) = 0, yields:
% 204.40/162.24 | (8632) all_444_1_40834 = 0
% 204.40/162.24 |
% 204.40/162.24 | Equations (8632) can reduce 8630 to:
% 204.40/162.24 | (62) $false
% 204.40/162.24 |
% 204.40/162.24 |-The branch is then unsatisfiable
% 204.40/162.24 |-Branch two:
% 204.40/162.24 | (11182) ~ (all_443_1_40832 = 0) & environment(all_33_4_38) = all_443_1_40832
% 204.40/162.24 |
% 204.40/162.24 | Applying alpha-rule on (11182) yields:
% 204.40/162.24 | (11183) ~ (all_443_1_40832 = 0)
% 204.40/162.24 | (11184) environment(all_33_4_38) = all_443_1_40832
% 204.40/162.24 |
% 204.40/162.24 | Instantiating formula (35) with all_33_4_38, all_443_1_40832, 0 and discharging atoms environment(all_33_4_38) = all_443_1_40832, environment(all_33_4_38) = 0, yields:
% 204.40/162.24 | (11185) all_443_1_40832 = 0
% 204.40/162.24 |
% 204.40/162.24 | Equations (11185) can reduce 11183 to:
% 204.40/162.24 | (62) $false
% 204.40/162.24 |
% 204.40/162.24 |-The branch is then unsatisfiable
% 204.40/162.24 |-Branch two:
% 204.40/162.24 | (5941) ~ (greater(all_33_1_35, all_48_2_43) = 0)
% 204.40/162.24 | (5942) all_48_2_43 = all_33_1_35
% 204.40/162.24 |
% 204.40/162.24 | From (5942) and (166) follows:
% 204.40/162.24 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.40/162.24 |
% 204.40/162.24 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.40/162.24 | (109) all_33_0_34 = 0
% 204.40/162.24 |
% 204.40/162.24 | Equations (109) can reduce 72 to:
% 204.40/162.24 | (62) $false
% 204.40/162.24 |
% 204.40/162.24 |-The branch is then unsatisfiable
% 204.40/162.24 |-Branch two:
% 204.40/162.24 | (11192) ~ (all_433_1_40812 = 0) & environment(all_33_4_38) = all_433_1_40812
% 204.40/162.24 |
% 204.40/162.24 | Applying alpha-rule on (11192) yields:
% 204.40/162.24 | (11193) ~ (all_433_1_40812 = 0)
% 204.40/162.24 | (11194) environment(all_33_4_38) = all_433_1_40812
% 204.40/162.24 |
% 204.40/162.24 | Instantiating formula (35) with all_33_4_38, all_433_1_40812, 0 and discharging atoms environment(all_33_4_38) = all_433_1_40812, environment(all_33_4_38) = 0, yields:
% 204.40/162.24 | (11195) all_433_1_40812 = 0
% 204.40/162.24 |
% 204.40/162.24 | Equations (11195) can reduce 11193 to:
% 204.40/162.24 | (62) $false
% 204.40/162.24 |
% 204.40/162.24 |-The branch is then unsatisfiable
% 204.40/162.24 |-Branch two:
% 204.40/162.24 | (5951) ~ (all_129_0_127 = 0) & greater_or_equal(all_129_1_128, all_48_3_44) = all_129_0_127 & end_time(all_33_4_38) = all_129_1_128
% 204.40/162.24 |
% 204.40/162.24 | Applying alpha-rule on (5951) yields:
% 204.40/162.24 | (5952) ~ (all_129_0_127 = 0)
% 204.40/162.24 | (5953) greater_or_equal(all_129_1_128, all_48_3_44) = all_129_0_127
% 204.40/162.25 | (5954) end_time(all_33_4_38) = all_129_1_128
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (43) with all_33_4_38, all_129_1_128, all_33_1_35 and discharging atoms end_time(all_33_4_38) = all_129_1_128, end_time(all_33_4_38) = all_33_1_35, yields:
% 204.40/162.25 | (5955) all_129_1_128 = all_33_1_35
% 204.40/162.25 |
% 204.40/162.25 | From (5955) and (5953) follows:
% 204.40/162.25 | (5956) greater_or_equal(all_33_1_35, all_48_3_44) = all_129_0_127
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (45) with all_129_0_127, all_48_3_44, all_33_1_35 and discharging atoms greater_or_equal(all_33_1_35, all_48_3_44) = all_129_0_127, yields:
% 204.40/162.25 | (5959) all_129_0_127 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_48_3_44) = v0)
% 204.40/162.25 |
% 204.40/162.25 +-Applying beta-rule and splitting (5959), into two cases.
% 204.40/162.25 |-Branch one:
% 204.40/162.25 | (5960) all_129_0_127 = 0
% 204.40/162.25 |
% 204.40/162.25 | Equations (5960) can reduce 5952 to:
% 204.40/162.25 | (62) $false
% 204.40/162.25 |
% 204.40/162.25 |-The branch is then unsatisfiable
% 204.40/162.25 |-Branch two:
% 204.40/162.25 | (5952) ~ (all_129_0_127 = 0)
% 204.40/162.25 | (5967) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_48_3_44) = v0)
% 204.40/162.25 |
% 204.40/162.25 | Instantiating (5967) with all_460_0_42863 yields:
% 204.40/162.25 | (11208) ~ (all_460_0_42863 = 0) & greater(all_33_1_35, all_48_3_44) = all_460_0_42863
% 204.40/162.25 |
% 204.40/162.25 | Applying alpha-rule on (11208) yields:
% 204.40/162.25 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.25 | (11210) greater(all_33_1_35, all_48_3_44) = all_460_0_42863
% 204.40/162.25 |
% 204.40/162.25 +-Applying beta-rule and splitting (224), into two cases.
% 204.40/162.25 |-Branch one:
% 204.40/162.25 | (5972) greater(all_33_1_35, all_51_2_49) = 0
% 204.40/162.25 |
% 204.40/162.25 +-Applying beta-rule and splitting (223), into two cases.
% 204.40/162.25 |-Branch one:
% 204.40/162.25 | (5973) greater(all_33_1_35, all_60_2_75) = 0
% 204.40/162.25 |
% 204.40/162.25 +-Applying beta-rule and splitting (225), into two cases.
% 204.40/162.25 |-Branch one:
% 204.40/162.25 | (264) greater(all_33_1_35, all_48_2_43) = 0
% 204.40/162.25 |
% 204.40/162.25 +-Applying beta-rule and splitting (222), into two cases.
% 204.40/162.25 |-Branch one:
% 204.40/162.25 | (5974) greater(all_33_1_35, all_61_2_79) = 0
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (18) with all_48_3_44, all_48_2_43, all_33_1_35 and discharging atoms greater(all_48_2_43, all_48_3_44) = 0, greater(all_33_1_35, all_48_2_43) = 0, yields:
% 204.40/162.25 | (271) greater(all_33_1_35, all_48_3_44) = 0
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (52) with all_460_0_42863, all_48_3_44, all_135_2_141, all_33_1_35 and discharging atoms greater(all_135_2_141, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_460_0_42863, yields:
% 204.40/162.25 | (11216) all_460_0_42863 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_135_2_141) = v0)
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (52) with all_460_0_42863, all_48_3_44, all_114_2_98, all_33_1_35 and discharging atoms greater(all_114_2_98, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_460_0_42863, yields:
% 204.40/162.25 | (11217) all_460_0_42863 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_114_2_98) = v0)
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (52) with all_460_0_42863, all_48_3_44, all_61_2_79, all_33_1_35 and discharging atoms greater(all_61_2_79, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_460_0_42863, yields:
% 204.40/162.25 | (11218) all_460_0_42863 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_61_2_79) = v0)
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (52) with all_460_0_42863, all_48_3_44, all_60_2_75, all_33_1_35 and discharging atoms greater(all_60_2_75, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_460_0_42863, yields:
% 204.40/162.25 | (11219) all_460_0_42863 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_60_2_75) = v0)
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (52) with all_460_0_42863, all_48_3_44, all_51_2_49, all_33_1_35 and discharging atoms greater(all_51_2_49, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_460_0_42863, yields:
% 204.40/162.25 | (11220) all_460_0_42863 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_51_2_49) = v0)
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (52) with all_460_0_42863, all_48_3_44, all_48_2_43, all_33_1_35 and discharging atoms greater(all_48_2_43, all_48_3_44) = 0, greater(all_33_1_35, all_48_3_44) = all_460_0_42863, yields:
% 204.40/162.25 | (11221) all_460_0_42863 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_48_2_43) = v0)
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (9) with all_460_0_42863, all_48_3_44, all_61_2_79, all_33_1_35 and discharging atoms greater(all_33_1_35, all_61_2_79) = 0, greater(all_33_1_35, all_48_3_44) = all_460_0_42863, yields:
% 204.40/162.25 | (11222) all_460_0_42863 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_61_2_79, all_48_3_44) = v0)
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (9) with all_460_0_42863, all_48_3_44, all_60_2_75, all_33_1_35 and discharging atoms greater(all_33_1_35, all_60_2_75) = 0, greater(all_33_1_35, all_48_3_44) = all_460_0_42863, yields:
% 204.40/162.25 | (11223) all_460_0_42863 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_60_2_75, all_48_3_44) = v0)
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (9) with all_460_0_42863, all_48_3_44, all_51_2_49, all_33_1_35 and discharging atoms greater(all_33_1_35, all_51_2_49) = 0, greater(all_33_1_35, all_48_3_44) = all_460_0_42863, yields:
% 204.40/162.25 | (11224) all_460_0_42863 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_51_2_49, all_48_3_44) = v0)
% 204.40/162.25 |
% 204.40/162.25 | Instantiating formula (9) with all_460_0_42863, all_48_3_44, all_48_2_43, all_33_1_35 and discharging atoms greater(all_33_1_35, all_48_2_43) = 0, greater(all_33_1_35, all_48_3_44) = all_460_0_42863, yields:
% 204.40/162.25 | (11225) all_460_0_42863 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_48_2_43, all_48_3_44) = v0)
% 204.40/162.25 |
% 204.40/162.25 +-Applying beta-rule and splitting (11225), into two cases.
% 204.40/162.25 |-Branch one:
% 204.40/162.25 | (11226) all_460_0_42863 = 0
% 204.40/162.25 |
% 204.40/162.25 | Equations (11226) can reduce 11209 to:
% 204.40/162.25 | (62) $false
% 204.40/162.25 |
% 204.40/162.25 |-The branch is then unsatisfiable
% 204.40/162.25 |-Branch two:
% 204.40/162.25 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.25 | (5989) ? [v0] : ( ~ (v0 = 0) & greater(all_48_2_43, all_48_3_44) = v0)
% 204.40/162.25 |
% 204.40/162.25 +-Applying beta-rule and splitting (11224), into two cases.
% 204.40/162.25 |-Branch one:
% 204.40/162.25 | (11226) all_460_0_42863 = 0
% 204.40/162.25 |
% 204.40/162.25 | Equations (11226) can reduce 11209 to:
% 204.40/162.25 | (62) $false
% 204.40/162.25 |
% 204.40/162.25 |-The branch is then unsatisfiable
% 204.40/162.25 |-Branch two:
% 204.40/162.25 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.26 | (6001) ? [v0] : ( ~ (v0 = 0) & greater(all_51_2_49, all_48_3_44) = v0)
% 204.40/162.26 |
% 204.40/162.26 +-Applying beta-rule and splitting (11221), into two cases.
% 204.40/162.26 |-Branch one:
% 204.40/162.26 | (11226) all_460_0_42863 = 0
% 204.40/162.26 |
% 204.40/162.26 | Equations (11226) can reduce 11209 to:
% 204.40/162.26 | (62) $false
% 204.40/162.26 |
% 204.40/162.26 |-The branch is then unsatisfiable
% 204.40/162.26 |-Branch two:
% 204.40/162.26 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.26 | (6013) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_48_2_43) = v0)
% 204.40/162.26 |
% 204.40/162.26 +-Applying beta-rule and splitting (11219), into two cases.
% 204.40/162.26 |-Branch one:
% 204.40/162.26 | (11226) all_460_0_42863 = 0
% 204.40/162.26 |
% 204.40/162.26 | Equations (11226) can reduce 11209 to:
% 204.40/162.26 | (62) $false
% 204.40/162.26 |
% 204.40/162.26 |-The branch is then unsatisfiable
% 204.40/162.26 |-Branch two:
% 204.40/162.26 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.26 | (6017) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_60_2_75) = v0)
% 204.40/162.26 |
% 204.40/162.26 +-Applying beta-rule and splitting (11220), into two cases.
% 204.40/162.26 |-Branch one:
% 204.40/162.26 | (11226) all_460_0_42863 = 0
% 204.40/162.26 |
% 204.40/162.26 | Equations (11226) can reduce 11209 to:
% 204.40/162.26 | (62) $false
% 204.40/162.26 |
% 204.40/162.26 |-The branch is then unsatisfiable
% 204.40/162.26 |-Branch two:
% 204.40/162.26 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.26 | (6025) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_51_2_49) = v0)
% 204.40/162.26 |
% 204.40/162.26 +-Applying beta-rule and splitting (11218), into two cases.
% 204.40/162.26 |-Branch one:
% 204.40/162.26 | (11226) all_460_0_42863 = 0
% 204.40/162.26 |
% 204.40/162.26 | Equations (11226) can reduce 11209 to:
% 204.40/162.26 | (62) $false
% 204.40/162.26 |
% 204.40/162.26 |-The branch is then unsatisfiable
% 204.40/162.26 |-Branch two:
% 204.40/162.26 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.26 | (6021) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_61_2_79) = v0)
% 204.40/162.26 |
% 204.40/162.26 +-Applying beta-rule and splitting (11223), into two cases.
% 204.40/162.26 |-Branch one:
% 204.40/162.26 | (11226) all_460_0_42863 = 0
% 204.40/162.26 |
% 204.40/162.26 | Equations (11226) can reduce 11209 to:
% 204.40/162.26 | (62) $false
% 204.40/162.26 |
% 204.40/162.26 |-The branch is then unsatisfiable
% 204.40/162.26 |-Branch two:
% 204.40/162.26 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.26 | (6005) ? [v0] : ( ~ (v0 = 0) & greater(all_60_2_75, all_48_3_44) = v0)
% 204.40/162.26 |
% 204.40/162.26 +-Applying beta-rule and splitting (11222), into two cases.
% 204.40/162.26 |-Branch one:
% 204.40/162.26 | (11226) all_460_0_42863 = 0
% 204.40/162.26 |
% 204.40/162.26 | Equations (11226) can reduce 11209 to:
% 204.40/162.26 | (62) $false
% 204.40/162.26 |
% 204.40/162.26 |-The branch is then unsatisfiable
% 204.40/162.26 |-Branch two:
% 204.40/162.26 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.26 | (6009) ? [v0] : ( ~ (v0 = 0) & greater(all_61_2_79, all_48_3_44) = v0)
% 204.40/162.26 |
% 204.40/162.26 +-Applying beta-rule and splitting (11217), into two cases.
% 204.40/162.26 |-Branch one:
% 204.40/162.26 | (11226) all_460_0_42863 = 0
% 204.40/162.26 |
% 204.40/162.26 | Equations (11226) can reduce 11209 to:
% 204.40/162.26 | (62) $false
% 204.40/162.26 |
% 204.40/162.26 |-The branch is then unsatisfiable
% 204.40/162.26 |-Branch two:
% 204.40/162.26 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.26 | (5997) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_114_2_98) = v0)
% 204.40/162.26 |
% 204.40/162.26 +-Applying beta-rule and splitting (11216), into two cases.
% 204.40/162.26 |-Branch one:
% 204.40/162.26 | (11226) all_460_0_42863 = 0
% 204.40/162.26 |
% 204.40/162.27 | Equations (11226) can reduce 11209 to:
% 204.40/162.27 | (62) $false
% 204.40/162.27 |
% 204.40/162.27 |-The branch is then unsatisfiable
% 204.40/162.27 |-Branch two:
% 204.40/162.27 | (11209) ~ (all_460_0_42863 = 0)
% 204.40/162.27 | (5993) ? [v0] : ( ~ (v0 = 0) & greater(all_33_1_35, all_135_2_141) = v0)
% 204.40/162.27 |
% 204.40/162.27 | Instantiating formula (7) with all_33_1_35, all_48_3_44, 0, all_460_0_42863 and discharging atoms greater(all_33_1_35, all_48_3_44) = all_460_0_42863, greater(all_33_1_35, all_48_3_44) = 0, yields:
% 204.40/162.27 | (11226) all_460_0_42863 = 0
% 204.40/162.27 |
% 204.40/162.27 | Equations (11226) can reduce 11209 to:
% 204.40/162.27 | (62) $false
% 204.40/162.27 |
% 204.40/162.27 |-The branch is then unsatisfiable
% 204.40/162.27 |-Branch two:
% 204.40/162.27 | (6028) ~ (greater(all_33_1_35, all_61_2_79) = 0)
% 204.40/162.27 | (6029) all_61_2_79 = all_33_1_35
% 204.40/162.27 |
% 204.40/162.27 | From (6029) and (200) follows:
% 204.40/162.27 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.40/162.27 |
% 204.40/162.27 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.40/162.27 | (109) all_33_0_34 = 0
% 204.40/162.27 |
% 204.40/162.27 | Equations (109) can reduce 72 to:
% 204.40/162.27 | (62) $false
% 204.40/162.27 |
% 204.40/162.27 |-The branch is then unsatisfiable
% 204.40/162.27 |-Branch two:
% 204.40/162.27 | (5941) ~ (greater(all_33_1_35, all_48_2_43) = 0)
% 204.40/162.27 | (5942) all_48_2_43 = all_33_1_35
% 204.40/162.27 |
% 204.40/162.27 | From (5942) and (166) follows:
% 204.40/162.27 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.40/162.27 |
% 204.40/162.27 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.40/162.27 | (109) all_33_0_34 = 0
% 204.40/162.27 |
% 204.40/162.27 | Equations (109) can reduce 72 to:
% 204.40/162.27 | (62) $false
% 204.40/162.27 |
% 204.40/162.27 |-The branch is then unsatisfiable
% 204.40/162.27 |-Branch two:
% 204.40/162.27 | (6033) ~ (greater(all_33_1_35, all_60_2_75) = 0)
% 204.40/162.27 | (6034) all_60_2_75 = all_33_1_35
% 204.40/162.27 |
% 204.40/162.27 | From (6034) and (204) follows:
% 204.40/162.27 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.40/162.27 |
% 204.40/162.27 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.40/162.27 | (109) all_33_0_34 = 0
% 204.40/162.27 |
% 204.40/162.27 | Equations (109) can reduce 72 to:
% 204.40/162.27 | (62) $false
% 204.40/162.27 |
% 204.40/162.27 |-The branch is then unsatisfiable
% 204.40/162.27 |-Branch two:
% 204.40/162.27 | (6038) ~ (greater(all_33_1_35, all_51_2_49) = 0)
% 204.40/162.27 | (6039) all_51_2_49 = all_33_1_35
% 204.40/162.27 |
% 204.40/162.27 | From (6039) and (196) follows:
% 204.40/162.27 | (292) selection_favors(efficient_producers, first_movers, all_33_1_35) = 0
% 204.40/162.27 |
% 204.40/162.27 | Instantiating formula (38) with efficient_producers, first_movers, all_33_1_35, 0, all_33_0_34 and discharging atoms selection_favors(efficient_producers, first_movers, all_33_1_35) = all_33_0_34, selection_favors(efficient_producers, first_movers, all_33_1_35) = 0, yields:
% 204.40/162.27 | (109) all_33_0_34 = 0
% 204.40/162.27 |
% 204.40/162.27 | Equations (109) can reduce 72 to:
% 204.40/162.27 | (62) $false
% 204.40/162.27 |
% 204.40/162.27 |-The branch is then unsatisfiable
% 204.40/162.27 |-Branch two:
% 204.40/162.27 | (6048) ~ (all_129_1_128 = 0) & environment(all_33_4_38) = all_129_1_128
% 204.40/162.27 |
% 204.40/162.27 | Applying alpha-rule on (6048) yields:
% 204.40/162.27 | (6049) ~ (all_129_1_128 = 0)
% 204.40/162.27 | (6050) environment(all_33_4_38) = all_129_1_128
% 204.40/162.27 |
% 204.40/162.27 | Instantiating formula (35) with all_33_4_38, all_129_1_128, 0 and discharging atoms environment(all_33_4_38) = all_129_1_128, environment(all_33_4_38) = 0, yields:
% 204.40/162.27 | (246) all_129_1_128 = 0
% 204.40/162.27 |
% 204.40/162.27 | Equations (246) can reduce 6049 to:
% 204.40/162.27 | (62) $false
% 204.40/162.27 |
% 204.40/162.27 |-The branch is then unsatisfiable
% 204.40/162.27 |-Branch two:
% 204.40/162.27 | (11293) ~ (all_271_1_159 = 0) & environment(all_33_4_38) = all_271_1_159
% 204.40/162.27 |
% 204.40/162.27 | Applying alpha-rule on (11293) yields:
% 204.40/162.27 | (11294) ~ (all_271_1_159 = 0)
% 204.40/162.27 | (11295) environment(all_33_4_38) = all_271_1_159
% 204.40/162.27 |
% 204.40/162.27 | Instantiating formula (35) with all_33_4_38, all_271_1_159, 0 and discharging atoms environment(all_33_4_38) = all_271_1_159, environment(all_33_4_38) = 0, yields:
% 204.40/162.27 | (11296) all_271_1_159 = 0
% 204.40/162.27 |
% 204.40/162.27 | Equations (11296) can reduce 11294 to:
% 204.40/162.27 | (62) $false
% 204.40/162.27 |
% 204.40/162.27 |-The branch is then unsatisfiable
% 204.40/162.28 |-Branch two:
% 204.40/162.28 | (11298) ~ (all_276_1_168 = 0) & environment(all_33_4_38) = all_276_1_168
% 204.40/162.28 |
% 204.40/162.28 | Applying alpha-rule on (11298) yields:
% 204.40/162.28 | (11299) ~ (all_276_1_168 = 0)
% 204.40/162.28 | (11300) environment(all_33_4_38) = all_276_1_168
% 204.40/162.28 |
% 204.40/162.28 | Instantiating formula (35) with all_33_4_38, all_276_1_168, 0 and discharging atoms environment(all_33_4_38) = all_276_1_168, environment(all_33_4_38) = 0, yields:
% 204.40/162.28 | (11301) all_276_1_168 = 0
% 204.40/162.28 |
% 204.40/162.28 | Equations (11301) can reduce 11299 to:
% 204.40/162.28 | (62) $false
% 204.40/162.28 |
% 204.40/162.28 |-The branch is then unsatisfiable
% 204.40/162.28 |-Branch two:
% 204.40/162.28 | (11303) ~ (all_131_0_131 = 0) & critical_point(all_33_4_38) = all_131_1_132 & greater(all_60_2_75, all_131_1_132) = all_131_0_131
% 204.40/162.28 |
% 204.40/162.28 | Applying alpha-rule on (11303) yields:
% 204.40/162.28 | (11304) ~ (all_131_0_131 = 0)
% 204.40/162.28 | (11305) critical_point(all_33_4_38) = all_131_1_132
% 204.40/162.28 | (11306) greater(all_60_2_75, all_131_1_132) = all_131_0_131
% 204.40/162.28 |
% 204.40/162.28 | Instantiating formula (22) with all_33_4_38, all_131_1_132, all_48_3_44 and discharging atoms critical_point(all_33_4_38) = all_131_1_132, critical_point(all_33_4_38) = all_48_3_44, yields:
% 204.40/162.28 | (11307) all_131_1_132 = all_48_3_44
% 204.40/162.28 |
% 204.40/162.28 | From (11307) and (11306) follows:
% 204.40/162.28 | (11308) greater(all_60_2_75, all_48_3_44) = all_131_0_131
% 204.40/162.28 |
% 204.40/162.28 | Instantiating formula (7) with all_60_2_75, all_48_3_44, all_131_0_131, 0 and discharging atoms greater(all_60_2_75, all_48_3_44) = all_131_0_131, greater(all_60_2_75, all_48_3_44) = 0, yields:
% 204.40/162.28 | (11309) all_131_0_131 = 0
% 204.40/162.28 |
% 204.40/162.28 | Equations (11309) can reduce 11304 to:
% 204.40/162.28 | (62) $false
% 204.40/162.28 |
% 204.40/162.28 |-The branch is then unsatisfiable
% 204.40/162.28 |-Branch two:
% 204.40/162.28 | (11311) ~ (all_131_1_132 = 0) & environment(all_33_4_38) = all_131_1_132
% 204.40/162.28 |
% 204.40/162.28 | Applying alpha-rule on (11311) yields:
% 204.40/162.28 | (11312) ~ (all_131_1_132 = 0)
% 204.40/162.28 | (11313) environment(all_33_4_38) = all_131_1_132
% 204.40/162.28 |
% 204.40/162.28 | Instantiating formula (35) with all_33_4_38, all_131_1_132, 0 and discharging atoms environment(all_33_4_38) = all_131_1_132, environment(all_33_4_38) = 0, yields:
% 204.40/162.28 | (203) all_131_1_132 = 0
% 204.40/162.28 |
% 204.40/162.28 | Equations (203) can reduce 11312 to:
% 204.40/162.28 | (62) $false
% 204.40/162.28 |
% 204.40/162.28 |-The branch is then unsatisfiable
% 204.40/162.28 |-Branch two:
% 204.40/162.28 | (11316) ~ (all_133_0_135 = 0) & critical_point(all_33_4_38) = all_133_1_136 & greater(all_61_2_79, all_133_1_136) = all_133_0_135
% 204.40/162.28 |
% 204.40/162.28 | Applying alpha-rule on (11316) yields:
% 204.40/162.28 | (11317) ~ (all_133_0_135 = 0)
% 204.40/162.28 | (11318) critical_point(all_33_4_38) = all_133_1_136
% 204.40/162.28 | (11319) greater(all_61_2_79, all_133_1_136) = all_133_0_135
% 204.40/162.28 |
% 204.40/162.28 | Instantiating formula (22) with all_33_4_38, all_133_1_136, all_48_3_44 and discharging atoms critical_point(all_33_4_38) = all_133_1_136, critical_point(all_33_4_38) = all_48_3_44, yields:
% 204.40/162.28 | (11320) all_133_1_136 = all_48_3_44
% 204.40/162.28 |
% 204.40/162.28 | From (11320) and (11319) follows:
% 204.40/162.28 | (11321) greater(all_61_2_79, all_48_3_44) = all_133_0_135
% 204.40/162.28 |
% 204.40/162.28 | Instantiating formula (7) with all_61_2_79, all_48_3_44, all_133_0_135, 0 and discharging atoms greater(all_61_2_79, all_48_3_44) = all_133_0_135, greater(all_61_2_79, all_48_3_44) = 0, yields:
% 204.40/162.28 | (11322) all_133_0_135 = 0
% 204.40/162.28 |
% 204.40/162.29 | Equations (11322) can reduce 11317 to:
% 204.40/162.29 | (62) $false
% 204.40/162.29 |
% 204.40/162.29 |-The branch is then unsatisfiable
% 204.40/162.29 |-Branch two:
% 204.40/162.29 | (11324) ~ (all_133_1_136 = 0) & environment(all_33_4_38) = all_133_1_136
% 204.40/162.29 |
% 204.40/162.29 | Applying alpha-rule on (11324) yields:
% 204.40/162.29 | (11325) ~ (all_133_1_136 = 0)
% 204.40/162.29 | (11326) environment(all_33_4_38) = all_133_1_136
% 204.40/162.29 |
% 204.40/162.29 | Instantiating formula (35) with all_33_4_38, all_133_1_136, 0 and discharging atoms environment(all_33_4_38) = all_133_1_136, environment(all_33_4_38) = 0, yields:
% 204.40/162.29 | (199) all_133_1_136 = 0
% 204.40/162.29 |
% 204.40/162.29 | Equations (199) can reduce 11325 to:
% 204.40/162.29 | (62) $false
% 204.40/162.29 |
% 204.40/162.29 |-The branch is then unsatisfiable
% 204.40/162.29 |-Branch two:
% 204.40/162.29 | (11329) ~ (all_121_0_112 = 0) & critical_point(all_33_4_38) = all_121_1_113 & greater(all_51_2_49, all_121_1_113) = all_121_0_112
% 204.40/162.29 |
% 204.40/162.29 | Applying alpha-rule on (11329) yields:
% 204.40/162.29 | (11330) ~ (all_121_0_112 = 0)
% 204.40/162.29 | (11331) critical_point(all_33_4_38) = all_121_1_113
% 204.40/162.29 | (11332) greater(all_51_2_49, all_121_1_113) = all_121_0_112
% 204.40/162.29 |
% 204.40/162.29 | Instantiating formula (22) with all_33_4_38, all_121_1_113, all_48_3_44 and discharging atoms critical_point(all_33_4_38) = all_121_1_113, critical_point(all_33_4_38) = all_48_3_44, yields:
% 204.40/162.29 | (11333) all_121_1_113 = all_48_3_44
% 204.40/162.29 |
% 204.40/162.29 | From (11333) and (11332) follows:
% 204.40/162.29 | (11334) greater(all_51_2_49, all_48_3_44) = all_121_0_112
% 204.40/162.29 |
% 204.40/162.29 | Instantiating formula (7) with all_51_2_49, all_48_3_44, all_121_0_112, 0 and discharging atoms greater(all_51_2_49, all_48_3_44) = all_121_0_112, greater(all_51_2_49, all_48_3_44) = 0, yields:
% 204.40/162.29 | (11335) all_121_0_112 = 0
% 204.40/162.29 |
% 204.40/162.29 | Equations (11335) can reduce 11330 to:
% 204.40/162.29 | (62) $false
% 204.40/162.29 |
% 204.40/162.29 |-The branch is then unsatisfiable
% 204.40/162.29 |-Branch two:
% 204.40/162.29 | (11337) ~ (all_121_1_113 = 0) & environment(all_33_4_38) = all_121_1_113
% 204.40/162.29 |
% 204.40/162.29 | Applying alpha-rule on (11337) yields:
% 204.40/162.29 | (11338) ~ (all_121_1_113 = 0)
% 204.40/162.29 | (11339) environment(all_33_4_38) = all_121_1_113
% 204.40/162.29 |
% 204.40/162.29 | Instantiating formula (35) with all_33_4_38, all_121_1_113, 0 and discharging atoms environment(all_33_4_38) = all_121_1_113, environment(all_33_4_38) = 0, yields:
% 204.40/162.29 | (195) all_121_1_113 = 0
% 204.40/162.29 |
% 204.40/162.29 | Equations (195) can reduce 11338 to:
% 204.40/162.29 | (62) $false
% 204.40/162.29 |
% 204.40/162.29 |-The branch is then unsatisfiable
% 204.40/162.29 |-Branch two:
% 204.40/162.29 | (11342) ~ (all_114_2_98 = 0) & slow_change(all_0_1_1) = all_114_2_98
% 204.40/162.29 |
% 204.40/162.29 | Applying alpha-rule on (11342) yields:
% 204.40/162.29 | (11343) ~ (all_114_2_98 = 0)
% 204.40/162.29 | (11344) slow_change(all_0_1_1) = all_114_2_98
% 204.40/162.29 |
% 204.40/162.29 | Instantiating formula (3) with all_0_1_1, all_114_2_98, 0 and discharging atoms slow_change(all_0_1_1) = all_114_2_98, slow_change(all_0_1_1) = 0, yields:
% 204.40/162.29 | (11345) all_114_2_98 = 0
% 204.40/162.29 |
% 204.40/162.29 | Equations (11345) can reduce 11343 to:
% 204.40/162.29 | (62) $false
% 204.40/162.29 |
% 204.40/162.29 |-The branch is then unsatisfiable
% 204.40/162.29 |-Branch two:
% 204.40/162.29 | (11347) ~ (all_114_2_98 = 0) & environment(all_33_4_38) = all_114_2_98
% 204.40/162.29 |
% 204.40/162.29 | Applying alpha-rule on (11347) yields:
% 204.55/162.29 | (11343) ~ (all_114_2_98 = 0)
% 204.55/162.29 | (11349) environment(all_33_4_38) = all_114_2_98
% 204.55/162.29 |
% 204.55/162.29 | Instantiating formula (35) with all_33_4_38, all_114_2_98, 0 and discharging atoms environment(all_33_4_38) = all_114_2_98, environment(all_33_4_38) = 0, yields:
% 204.55/162.29 | (11345) all_114_2_98 = 0
% 204.55/162.29 |
% 204.55/162.30 | Equations (11345) can reduce 11343 to:
% 204.55/162.30 | (62) $false
% 204.55/162.30 |
% 204.55/162.30 |-The branch is then unsatisfiable
% 204.55/162.30 |-Branch two:
% 204.55/162.30 | (11352) ~ (all_114_2_98 = 0) & in_environment(all_0_1_1, all_33_4_38) = all_114_2_98
% 204.55/162.30 |
% 204.55/162.30 | Applying alpha-rule on (11352) yields:
% 204.55/162.30 | (11343) ~ (all_114_2_98 = 0)
% 204.55/162.30 | (11354) in_environment(all_0_1_1, all_33_4_38) = all_114_2_98
% 204.55/162.30 |
% 204.55/162.30 | Instantiating formula (42) with all_0_1_1, all_33_4_38, all_114_2_98, 0 and discharging atoms in_environment(all_0_1_1, all_33_4_38) = all_114_2_98, in_environment(all_0_1_1, all_33_4_38) = 0, yields:
% 204.55/162.30 | (11345) all_114_2_98 = 0
% 204.55/162.30 |
% 204.55/162.30 | Equations (11345) can reduce 11343 to:
% 204.55/162.30 | (62) $false
% 204.55/162.30 |
% 204.55/162.30 |-The branch is then unsatisfiable
% 204.55/162.30 |-Branch two:
% 204.55/162.30 | (11357) ~ (all_120_1_111 = 0) & environment(all_33_4_38) = all_120_1_111
% 204.55/162.30 |
% 204.55/162.30 | Applying alpha-rule on (11357) yields:
% 204.55/162.30 | (11358) ~ (all_120_1_111 = 0)
% 204.55/162.30 | (11359) environment(all_33_4_38) = all_120_1_111
% 204.55/162.30 |
% 204.55/162.30 | Instantiating formula (35) with all_33_4_38, all_120_1_111, 0 and discharging atoms environment(all_33_4_38) = all_120_1_111, environment(all_33_4_38) = 0, yields:
% 204.55/162.30 | (11360) all_120_1_111 = 0
% 204.55/162.30 |
% 204.55/162.30 | Equations (11360) can reduce 11358 to:
% 204.55/162.30 | (62) $false
% 204.55/162.30 |
% 204.55/162.30 |-The branch is then unsatisfiable
% 204.55/162.30 |-Branch two:
% 204.55/162.30 | (11362) ~ (all_122_1_115 = 0) & environment(all_33_4_38) = all_122_1_115
% 204.55/162.30 |
% 204.55/162.30 | Applying alpha-rule on (11362) yields:
% 204.55/162.30 | (11363) ~ (all_122_1_115 = 0)
% 204.55/162.30 | (11364) environment(all_33_4_38) = all_122_1_115
% 204.55/162.30 |
% 204.55/162.30 | Instantiating formula (35) with all_33_4_38, all_122_1_115, 0 and discharging atoms environment(all_33_4_38) = all_122_1_115, environment(all_33_4_38) = 0, yields:
% 204.55/162.30 | (11365) all_122_1_115 = 0
% 204.55/162.30 |
% 204.55/162.30 | Equations (11365) can reduce 11363 to:
% 204.55/162.30 | (62) $false
% 204.55/162.30 |
% 204.55/162.30 |-The branch is then unsatisfiable
% 204.55/162.30 |-Branch two:
% 204.55/162.30 | (11367) ~ (all_132_1_134 = 0) & environment(all_33_4_38) = all_132_1_134
% 204.55/162.30 |
% 204.55/162.30 | Applying alpha-rule on (11367) yields:
% 204.55/162.30 | (11368) ~ (all_132_1_134 = 0)
% 204.55/162.30 | (11369) environment(all_33_4_38) = all_132_1_134
% 204.55/162.30 |
% 204.55/162.30 | Instantiating formula (35) with all_33_4_38, all_132_1_134, 0 and discharging atoms environment(all_33_4_38) = all_132_1_134, environment(all_33_4_38) = 0, yields:
% 204.55/162.30 | (11370) all_132_1_134 = 0
% 204.55/162.30 |
% 204.55/162.30 | Equations (11370) can reduce 11368 to:
% 204.55/162.30 | (62) $false
% 204.55/162.30 |
% 204.55/162.30 |-The branch is then unsatisfiable
% 204.55/162.30 |-Branch two:
% 204.55/162.30 | (11372) ~ (all_135_2_141 = 0) & observational_period(all_0_1_1) = all_135_2_141
% 204.55/162.30 |
% 204.55/162.30 | Applying alpha-rule on (11372) yields:
% 204.55/162.30 | (11373) ~ (all_135_2_141 = 0)
% 204.55/162.30 | (11374) observational_period(all_0_1_1) = all_135_2_141
% 204.55/162.30 |
% 204.55/162.30 | Instantiating formula (47) with all_0_1_1, all_135_2_141, 0 and discharging atoms observational_period(all_0_1_1) = all_135_2_141, observational_period(all_0_1_1) = 0, yields:
% 204.55/162.30 | (11375) all_135_2_141 = 0
% 204.55/162.30 |
% 204.55/162.31 | Equations (11375) can reduce 11373 to:
% 204.55/162.31 | (62) $false
% 204.55/162.31 |
% 204.55/162.31 |-The branch is then unsatisfiable
% 204.55/162.31 |-Branch two:
% 204.55/162.31 | (11377) ~ (all_135_2_141 = 0) & environment(all_33_4_38) = all_135_2_141
% 204.55/162.31 |
% 204.55/162.31 | Applying alpha-rule on (11377) yields:
% 204.55/162.31 | (11373) ~ (all_135_2_141 = 0)
% 204.55/162.31 | (11379) environment(all_33_4_38) = all_135_2_141
% 204.55/162.31 |
% 204.55/162.31 | Instantiating formula (35) with all_33_4_38, all_135_2_141, 0 and discharging atoms environment(all_33_4_38) = all_135_2_141, environment(all_33_4_38) = 0, yields:
% 204.55/162.31 | (11375) all_135_2_141 = 0
% 204.55/162.31 |
% 204.55/162.31 | Equations (11375) can reduce 11373 to:
% 204.55/162.31 | (62) $false
% 204.55/162.31 |
% 204.55/162.31 |-The branch is then unsatisfiable
% 204.55/162.31 |-Branch two:
% 204.55/162.31 | (11382) ~ (all_135_2_141 = 0) & in_environment(all_0_1_1, all_33_4_38) = all_135_2_141
% 204.55/162.31 |
% 204.55/162.31 | Applying alpha-rule on (11382) yields:
% 204.55/162.31 | (11373) ~ (all_135_2_141 = 0)
% 204.55/162.31 | (11384) in_environment(all_0_1_1, all_33_4_38) = all_135_2_141
% 204.55/162.31 |
% 204.55/162.31 | Instantiating formula (42) with all_0_1_1, all_33_4_38, all_135_2_141, 0 and discharging atoms in_environment(all_0_1_1, all_33_4_38) = all_135_2_141, in_environment(all_0_1_1, all_33_4_38) = 0, yields:
% 204.55/162.31 | (11375) all_135_2_141 = 0
% 204.55/162.31 |
% 204.55/162.31 | Equations (11375) can reduce 11373 to:
% 204.55/162.31 | (62) $false
% 204.55/162.31 |
% 204.55/162.31 |-The branch is then unsatisfiable
% 204.55/162.31 |-Branch two:
% 204.57/162.31 | (11387) ~ (all_136_0_142 = 0) & environment(all_33_4_38) = all_136_0_142
% 204.57/162.31 |
% 204.57/162.31 | Applying alpha-rule on (11387) yields:
% 204.57/162.31 | (11388) ~ (all_136_0_142 = 0)
% 204.57/162.31 | (11389) environment(all_33_4_38) = all_136_0_142
% 204.57/162.31 |
% 204.57/162.31 | Instantiating formula (35) with all_33_4_38, all_136_0_142, 0 and discharging atoms environment(all_33_4_38) = all_136_0_142, environment(all_33_4_38) = 0, yields:
% 204.57/162.31 | (165) all_136_0_142 = 0
% 204.57/162.31 |
% 204.57/162.31 | Equations (165) can reduce 11388 to:
% 204.57/162.31 | (62) $false
% 204.57/162.31 |
% 204.57/162.31 |-The branch is then unsatisfiable
% 204.57/162.31 |-Branch two:
% 204.57/162.31 | (11392) ~ (all_136_0_142 = 0) & in_environment(all_33_4_38, all_48_2_43) = all_136_0_142
% 204.57/162.31 |
% 204.57/162.31 | Applying alpha-rule on (11392) yields:
% 204.57/162.31 | (11388) ~ (all_136_0_142 = 0)
% 204.57/162.31 | (11394) in_environment(all_33_4_38, all_48_2_43) = all_136_0_142
% 204.57/162.31 |
% 204.57/162.31 | Instantiating formula (42) with all_33_4_38, all_48_2_43, all_136_0_142, 0 and discharging atoms in_environment(all_33_4_38, all_48_2_43) = all_136_0_142, in_environment(all_33_4_38, all_48_2_43) = 0, yields:
% 204.57/162.31 | (165) all_136_0_142 = 0
% 204.57/162.31 |
% 204.57/162.31 | Equations (165) can reduce 11388 to:
% 204.57/162.31 | (62) $false
% 204.57/162.31 |
% 204.57/162.31 |-The branch is then unsatisfiable
% 204.57/162.31 |-Branch two:
% 204.57/162.31 | (11397) ~ (all_134_1_138 = 0) & environment(all_33_4_38) = all_134_1_138
% 204.57/162.31 |
% 204.57/162.31 | Applying alpha-rule on (11397) yields:
% 204.57/162.31 | (11398) ~ (all_134_1_138 = 0)
% 204.57/162.31 | (11399) environment(all_33_4_38) = all_134_1_138
% 204.57/162.31 |
% 204.57/162.31 | Instantiating formula (35) with all_33_4_38, all_134_1_138, 0 and discharging atoms environment(all_33_4_38) = all_134_1_138, environment(all_33_4_38) = 0, yields:
% 204.57/162.31 | (11400) all_134_1_138 = 0
% 204.57/162.31 |
% 204.57/162.31 | Equations (11400) can reduce 11398 to:
% 204.57/162.31 | (62) $false
% 204.57/162.31 |
% 204.57/162.31 |-The branch is then unsatisfiable
% 204.57/162.31 |-Branch two:
% 204.57/162.32 | (11402) ~ (all_61_3_80 = 0) & observational_period(all_0_1_1) = all_61_3_80
% 204.57/162.32 |
% 204.57/162.32 | Applying alpha-rule on (11402) yields:
% 204.57/162.32 | (11403) ~ (all_61_3_80 = 0)
% 204.57/162.32 | (11404) observational_period(all_0_1_1) = all_61_3_80
% 204.57/162.32 |
% 204.57/162.32 | Instantiating formula (47) with all_0_1_1, all_61_3_80, 0 and discharging atoms observational_period(all_0_1_1) = all_61_3_80, observational_period(all_0_1_1) = 0, yields:
% 204.57/162.32 | (11405) all_61_3_80 = 0
% 204.57/162.32 |
% 204.57/162.32 | Equations (11405) can reduce 11403 to:
% 204.57/162.32 | (62) $false
% 204.57/162.32 |
% 204.57/162.32 |-The branch is then unsatisfiable
% 204.57/162.32 |-Branch two:
% 204.57/162.32 | (11407) ~ (all_61_3_80 = 0) & in_environment(all_0_1_1, all_33_4_38) = all_61_3_80
% 204.57/162.32 |
% 204.57/162.32 | Applying alpha-rule on (11407) yields:
% 204.57/162.32 | (11403) ~ (all_61_3_80 = 0)
% 204.57/162.32 | (11409) in_environment(all_0_1_1, all_33_4_38) = all_61_3_80
% 204.57/162.32 |
% 204.57/162.32 | Instantiating formula (42) with all_0_1_1, all_33_4_38, all_61_3_80, 0 and discharging atoms in_environment(all_0_1_1, all_33_4_38) = all_61_3_80, in_environment(all_0_1_1, all_33_4_38) = 0, yields:
% 204.57/162.32 | (11405) all_61_3_80 = 0
% 204.57/162.32 |
% 204.57/162.32 | Equations (11405) can reduce 11403 to:
% 204.57/162.32 | (62) $false
% 204.57/162.32 |
% 204.57/162.32 |-The branch is then unsatisfiable
% 204.57/162.32 |-Branch two:
% 204.57/162.32 | (11412) ~ (all_60_3_76 = 0) & slow_change(all_0_1_1) = all_60_3_76
% 204.57/162.32 |
% 204.57/162.32 | Applying alpha-rule on (11412) yields:
% 204.57/162.32 | (11413) ~ (all_60_3_76 = 0)
% 204.57/162.32 | (11414) slow_change(all_0_1_1) = all_60_3_76
% 204.57/162.32 |
% 204.57/162.32 | Instantiating formula (3) with all_0_1_1, all_60_3_76, 0 and discharging atoms slow_change(all_0_1_1) = all_60_3_76, slow_change(all_0_1_1) = 0, yields:
% 204.57/162.32 | (11415) all_60_3_76 = 0
% 204.57/162.32 |
% 204.57/162.32 | Equations (11415) can reduce 11413 to:
% 204.57/162.32 | (62) $false
% 204.57/162.32 |
% 204.57/162.32 |-The branch is then unsatisfiable
% 204.57/162.32 |-Branch two:
% 204.57/162.32 | (11417) ~ (all_60_3_76 = 0) & in_environment(all_0_1_1, all_33_4_38) = all_60_3_76
% 204.57/162.32 |
% 204.57/162.32 | Applying alpha-rule on (11417) yields:
% 204.57/162.32 | (11413) ~ (all_60_3_76 = 0)
% 204.57/162.32 | (11419) in_environment(all_0_1_1, all_33_4_38) = all_60_3_76
% 204.57/162.32 |
% 204.57/162.32 | Instantiating formula (42) with all_0_1_1, all_33_4_38, all_60_3_76, 0 and discharging atoms in_environment(all_0_1_1, all_33_4_38) = all_60_3_76, in_environment(all_0_1_1, all_33_4_38) = 0, yields:
% 204.57/162.32 | (11415) all_60_3_76 = 0
% 204.57/162.32 |
% 204.57/162.32 | Equations (11415) can reduce 11413 to:
% 204.57/162.32 | (62) $false
% 204.57/162.32 |
% 204.57/162.32 |-The branch is then unsatisfiable
% 204.57/162.32 |-Branch two:
% 204.57/162.32 | (11422) ~ (all_51_3_50 = 0) & observational_period(all_0_1_1) = all_51_3_50
% 204.57/162.32 |
% 204.57/162.32 | Applying alpha-rule on (11422) yields:
% 204.57/162.32 | (11423) ~ (all_51_3_50 = 0)
% 204.57/162.32 | (11424) observational_period(all_0_1_1) = all_51_3_50
% 204.57/162.32 |
% 204.57/162.32 | Instantiating formula (47) with all_0_1_1, all_51_3_50, 0 and discharging atoms observational_period(all_0_1_1) = all_51_3_50, observational_period(all_0_1_1) = 0, yields:
% 204.57/162.32 | (11425) all_51_3_50 = 0
% 204.57/162.32 |
% 204.57/162.32 | Equations (11425) can reduce 11423 to:
% 204.57/162.32 | (62) $false
% 204.57/162.32 |
% 204.57/162.32 |-The branch is then unsatisfiable
% 204.57/162.32 |-Branch two:
% 204.57/162.33 | (11427) ~ (all_51_3_50 = 0) & environment(all_33_4_38) = all_51_3_50
% 204.57/162.33 |
% 204.57/162.33 | Applying alpha-rule on (11427) yields:
% 204.57/162.33 | (11423) ~ (all_51_3_50 = 0)
% 204.57/162.33 | (11429) environment(all_33_4_38) = all_51_3_50
% 204.57/162.33 |
% 204.57/162.33 | Instantiating formula (35) with all_33_4_38, all_51_3_50, 0 and discharging atoms environment(all_33_4_38) = all_51_3_50, environment(all_33_4_38) = 0, yields:
% 204.57/162.33 | (11425) all_51_3_50 = 0
% 204.57/162.33 |
% 204.57/162.33 | Equations (11425) can reduce 11423 to:
% 204.57/162.33 | (62) $false
% 204.57/162.33 |
% 204.57/162.33 |-The branch is then unsatisfiable
% 204.57/162.33 |-Branch two:
% 204.57/162.33 | (11432) ~ (all_48_3_44 = 0) & slow_change(all_0_1_1) = all_48_3_44
% 204.57/162.33 |
% 204.57/162.33 | Applying alpha-rule on (11432) yields:
% 204.57/162.33 | (11433) ~ (all_48_3_44 = 0)
% 204.57/162.33 | (11434) slow_change(all_0_1_1) = all_48_3_44
% 204.57/162.33 |
% 204.57/162.33 | Instantiating formula (3) with all_0_1_1, all_48_3_44, 0 and discharging atoms slow_change(all_0_1_1) = all_48_3_44, slow_change(all_0_1_1) = 0, yields:
% 204.57/162.33 | (11435) all_48_3_44 = 0
% 204.57/162.33 |
% 204.57/162.33 | Equations (11435) can reduce 11433 to:
% 204.57/162.33 | (62) $false
% 204.57/162.33 |
% 204.57/162.33 |-The branch is then unsatisfiable
% 204.57/162.33 |-Branch two:
% 204.57/162.33 | (11437) ~ (all_48_3_44 = 0) & environment(all_33_4_38) = all_48_3_44
% 204.57/162.33 |
% 204.57/162.33 | Applying alpha-rule on (11437) yields:
% 204.57/162.33 | (11433) ~ (all_48_3_44 = 0)
% 204.57/162.33 | (11439) environment(all_33_4_38) = all_48_3_44
% 204.57/162.33 |
% 204.57/162.33 | Instantiating formula (35) with all_33_4_38, all_48_3_44, 0 and discharging atoms environment(all_33_4_38) = all_48_3_44, environment(all_33_4_38) = 0, yields:
% 204.57/162.33 | (11435) all_48_3_44 = 0
% 204.57/162.33 |
% 204.57/162.33 | Equations (11435) can reduce 11433 to:
% 204.57/162.33 | (62) $false
% 204.57/162.33 |
% 204.57/162.33 |-The branch is then unsatisfiable
% 204.57/162.33 |-Branch two:
% 204.57/162.33 | (11442) ~ (all_33_4_38 = 0) & observational_period(all_0_1_1) = all_33_4_38
% 204.57/162.33 |
% 204.57/162.33 | Applying alpha-rule on (11442) yields:
% 204.57/162.33 | (11443) ~ (all_33_4_38 = 0)
% 204.57/162.33 | (11444) observational_period(all_0_1_1) = all_33_4_38
% 204.57/162.33 |
% 204.57/162.33 | Instantiating formula (47) with all_0_1_1, all_33_4_38, 0 and discharging atoms observational_period(all_0_1_1) = all_33_4_38, observational_period(all_0_1_1) = 0, yields:
% 204.57/162.33 | (11445) all_33_4_38 = 0
% 204.57/162.33 |
% 204.57/162.33 | Equations (11445) can reduce 11443 to:
% 204.57/162.33 | (62) $false
% 204.57/162.33 |
% 204.57/162.33 |-The branch is then unsatisfiable
% 204.57/162.33 % SZS output end Proof for theBenchmark
% 204.57/162.33
% 204.57/162.33 161735ms
%------------------------------------------------------------------------------