TSTP Solution File: MGT046+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT046+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.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 22:07:09 EDT 2022
% Result : Theorem 12.70s 3.64s
% Output : Proof 19.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT046+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 11:13:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.62/0.67 ____ _
% 0.62/0.67 ___ / __ \_____(_)___ ________ __________
% 0.62/0.67 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.62/0.67 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.62/0.67 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.62/0.67
% 0.62/0.67 A Theorem Prover for First-Order Logic
% 0.62/0.68 (ePrincess v.1.0)
% 0.62/0.68
% 0.62/0.68 (c) Philipp Rümmer, 2009-2015
% 0.62/0.68 (c) Peter Backeman, 2014-2015
% 0.62/0.68 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.62/0.68 Free software under GNU Lesser General Public License (LGPL).
% 0.62/0.68 Bug reports to peter@backeman.se
% 0.62/0.68
% 0.62/0.68 For more information, visit http://user.uu.se/~petba168/breu/
% 0.62/0.68
% 0.62/0.68 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.77/0.72 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.78/1.04 Prover 0: Preprocessing ...
% 2.83/1.37 Prover 0: Warning: ignoring some quantifiers
% 3.04/1.40 Prover 0: Constructing countermodel ...
% 7.06/2.31 Prover 0: gave up
% 7.06/2.31 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 7.06/2.34 Prover 1: Preprocessing ...
% 7.59/2.41 Prover 1: Constructing countermodel ...
% 7.73/2.49 Prover 1: gave up
% 7.73/2.49 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 8.06/2.52 Prover 2: Preprocessing ...
% 8.40/2.63 Prover 2: Warning: ignoring some quantifiers
% 8.40/2.63 Prover 2: Constructing countermodel ...
% 12.70/3.64 Prover 2: proved (1153ms)
% 12.70/3.64
% 12.70/3.64 No countermodel exists, formula is valid
% 12.70/3.64 % SZS status Theorem for theBenchmark
% 12.70/3.64
% 12.70/3.64 Generating proof ... Warning: ignoring some quantifiers
% 19.03/5.11 found it (size 223)
% 19.03/5.11
% 19.03/5.11 % SZS output start Proof for theBenchmark
% 19.03/5.11 Assumed formulas after preprocessing and simplification:
% 19.03/5.11 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & ~ (v3 = 0) & age(v0, v2) = v4 & age(v0, v1) = v5 & hazard_of_mortality(v0, v2) = v6 & hazard_of_mortality(v0, v1) = v7 & organization(v0) = 0 & has_endowment(v0) = v3 & greater(v4, v5) = 0 & smaller(v6, v7) = v8 & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (external_ties(v9, v11) = v12) | ~ (external_ties(v9, v10) = v13) | ~ (greater(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v17 = 0) & age(v9, v11) = v15 & age(v9, v10) = v16 & greater(v15, v16) = v17) | ( ~ (v15 = 0) & organization(v9) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (stock_of_knowledge(v9, v11) = v12) | ~ (stock_of_knowledge(v9, v10) = v13) | ~ (greater(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v17 = 0) & age(v9, v11) = v15 & age(v9, v10) = v16 & greater(v15, v16) = v17) | ( ~ (v15 = 0) & organization(v9) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (external_ties(v9, v11) = v12) | ~ (external_ties(v9, v10) = v13) | ~ (greater(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v15 = 0) & organization(v9) = v15) | (( ~ (v14 = 0) | (v17 = 0 & position(v9, v11) = v15 & position(v9, v10) = v16 & greater(v15, v16) = 0)) & ( ~ (v13 = v12) | (v16 = v15 & position(v9, v11) = v15 & position(v9, v10) = v15))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (internal_friction(v9, v11) = v12) | ~ (internal_friction(v9, v10) = v13) | ~ (greater(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (( ~ (v15 = 0) & organization(v9) = v15) | (( ~ (v14 = 0) | (v21 = 0 & capability(v9, v11) = v19 & capability(v9, v10) = v20 & smaller(v19, v20) = 0) | ( ~ (v21 = 0) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16 & smaller_or_equal(v15, v16) = v21)) & ( ~ (v13 = v12) | (v20 = v19 & capability(v9, v11) = v19 & capability(v9, v10) = v19) | ( ~ (v16 = v15) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16)) & ((v22 = 0 & capability(v9, v11) = v19 & capability(v9, v10) = v20 & greater(v19, v20) = 0) | ( ~ (v18 = 0) & smaller_or_equal(v12, v13) = v18) | ( ~ (v17 = 0) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16 & greater(v15, v16) = v17))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (internal_friction(v9, v11) = v12) | ~ (internal_friction(v9, v10) = v13) | ~ (smaller_or_equal(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (( ~ (v15 = 0) & organization(v9) = v15) | (( ~ (v14 = 0) | (v21 = 0 & capability(v9, v11) = v18 & capability(v9, v10) = v19 & greater(v18, v19) = 0) | ( ~ (v17 = 0) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16 & greater(v15, v16) = v17)) & ( ~ (v13 = v12) | (v19 = v18 & capability(v9, v11) = v18 & capability(v9, v10) = v18) | ( ~ (v16 = v15) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16)) & ((v20 = 0 & capability(v9, v11) = v18 & capability(v9, v10) = v19 & smaller(v18, v19) = 0) | ( ~ (v20 = 0) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16 & smaller_or_equal(v15, v16) = v20) | ( ~ (v20 = 0) & greater(v12, v13) = v20))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (stock_of_knowledge(v9, v11) = v12) | ~ (stock_of_knowledge(v9, v10) = v13) | ~ (greater(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (( ~ (v15 = 0) & organization(v9) = v15) | (( ~ (v14 = 0) | (v21 = 0 & capability(v9, v11) = v18 & capability(v9, v10) = v19 & greater(v18, v19) = 0) | ( ~ (v17 = 0) & internal_friction(v9, v11) = v15 & internal_friction(v9, v10) = v16 & smaller_or_equal(v15, v16) = v17)) & ( ~ (v13 = v12) | (v19 = v18 & capability(v9, v11) = v18 & capability(v9, v10) = v18) | ( ~ (v16 = v15) & internal_friction(v9, v11) = v15 & internal_friction(v9, v10) = v16)) & ((v20 = 0 & capability(v9, v11) = v18 & capability(v9, v10) = v19 & smaller(v18, v19) = 0) | ( ~ (v20 = 0) & internal_friction(v9, v11) = v15 & internal_friction(v9, v10) = v16 & greater(v15, v16) = v20) | ( ~ (v20 = 0) & smaller_or_equal(v12, v13) = v20))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (stock_of_knowledge(v9, v11) = v12) | ~ (stock_of_knowledge(v9, v10) = v13) | ~ (smaller_or_equal(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (( ~ (v15 = 0) & organization(v9) = v15) | (( ~ (v14 = 0) | (v21 = 0 & capability(v9, v11) = v19 & capability(v9, v10) = v20 & smaller(v19, v20) = 0) | ( ~ (v21 = 0) & internal_friction(v9, v11) = v16 & internal_friction(v9, v10) = v17 & greater(v16, v17) = v21)) & ( ~ (v13 = v12) | (v20 = v19 & capability(v9, v11) = v19 & capability(v9, v10) = v19) | ( ~ (v17 = v16) & internal_friction(v9, v11) = v16 & internal_friction(v9, v10) = v17)) & ((v22 = 0 & capability(v9, v11) = v19 & capability(v9, v10) = v20 & greater(v19, v20) = 0) | ( ~ (v18 = 0) & internal_friction(v9, v11) = v16 & internal_friction(v9, v10) = v17 & smaller_or_equal(v16, v17) = v18) | ( ~ (v15 = 0) & greater(v12, v13) = v15))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (position(v9, v11) = v12) | ~ (position(v9, v10) = v13) | ~ (greater(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v15 = 0 & has_immunity(v9, v11) = 0) | (v15 = 0 & has_immunity(v9, v10) = 0) | ( ~ (v15 = 0) & organization(v9) = v15) | (( ~ (v13 = v12) | (v20 = v19 & hazard_of_mortality(v9, v11) = v19 & hazard_of_mortality(v9, v10) = v19) | ( ~ (v16 = v15) & capability(v9, v11) = v15 & capability(v9, v10) = v16)) & ((v21 = 0 & hazard_of_mortality(v9, v11) = v19 & hazard_of_mortality(v9, v10) = v20 & smaller(v19, v20) = 0) | (( ~ (v14 = 0) | ( ~ (v21 = 0) & capability(v9, v11) = v15 & capability(v9, v10) = v16 & greater_or_equal(v15, v16) = v21)) & (( ~ (v18 = 0) & greater_or_equal(v12, v13) = v18) | ( ~ (v17 = 0) & capability(v9, v11) = v15 & capability(v9, v10) = v16 & greater(v15, v16) = v17))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (position(v9, v11) = v12) | ~ (position(v9, v10) = v13) | ~ (greater(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v15 = 0) & organization(v9) = v15) | ((v14 = 0 | ( ~ (v17 = 0) & external_ties(v9, v11) = v15 & external_ties(v9, v10) = v16 & greater(v15, v16) = v17)) & (v13 = v12 | ( ~ (v16 = v15) & external_ties(v9, v11) = v15 & external_ties(v9, v10) = v16))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (position(v9, v11) = v12) | ~ (position(v9, v10) = v13) | ~ (greater_or_equal(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v15 = 0 & has_immunity(v9, v11) = 0) | (v15 = 0 & has_immunity(v9, v10) = 0) | ( ~ (v15 = 0) & organization(v9) = v15) | (( ~ (v13 = v12) | (v19 = v18 & hazard_of_mortality(v9, v11) = v18 & hazard_of_mortality(v9, v10) = v18) | ( ~ (v16 = v15) & capability(v9, v11) = v15 & capability(v9, v10) = v16)) & ((v20 = 0 & hazard_of_mortality(v9, v11) = v18 & hazard_of_mortality(v9, v10) = v19 & smaller(v18, v19) = 0) | (( ~ (v14 = 0) | ( ~ (v17 = 0) & capability(v9, v11) = v15 & capability(v9, v10) = v16 & greater(v15, v16) = v17)) & (( ~ (v20 = 0) & capability(v9, v11) = v15 & capability(v9, v10) = v16 & greater_or_equal(v15, v16) = v20) | ( ~ (v20 = 0) & greater(v12, v13) = v20))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (capability(v9, v11) = v12) | ~ (capability(v9, v10) = v13) | ~ (greater(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (( ~ (v15 = 0) & organization(v9) = v15) | ((v14 = 0 | ( ~ (v21 = 0) & internal_friction(v9, v11) = v18 & internal_friction(v9, v10) = v19 & smaller_or_equal(v18, v19) = v21) | ( ~ (v17 = 0) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16 & greater(v15, v16) = v17)) & (v13 = v12 | ( ~ (v19 = v18) & internal_friction(v9, v11) = v18 & internal_friction(v9, v10) = v19) | ( ~ (v16 = v15) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16)) & ((v20 = 0 & smaller(v12, v13) = 0) | ( ~ (v20 = 0) & internal_friction(v9, v11) = v18 & internal_friction(v9, v10) = v19 & greater(v18, v19) = v20) | ( ~ (v20 = 0) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16 & smaller_or_equal(v15, v16) = v20))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (capability(v9, v11) = v12) | ~ (capability(v9, v10) = v13) | ~ (greater(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v15 = 0 & has_immunity(v9, v11) = 0) | (v15 = 0 & has_immunity(v9, v10) = 0) | ( ~ (v15 = 0) & organization(v9) = v15) | (( ~ (v13 = v12) | (v19 = v18 & hazard_of_mortality(v9, v11) = v18 & hazard_of_mortality(v9, v10) = v18) | ( ~ (v16 = v15) & position(v9, v11) = v15 & position(v9, v10) = v16)) & ((v20 = 0 & hazard_of_mortality(v9, v11) = v18 & hazard_of_mortality(v9, v10) = v19 & smaller(v18, v19) = 0) | (( ~ (v14 = 0) | ( ~ (v17 = 0) & position(v9, v11) = v15 & position(v9, v10) = v16 & greater_or_equal(v15, v16) = v17)) & (( ~ (v20 = 0) & position(v9, v11) = v15 & position(v9, v10) = v16 & greater(v15, v16) = v20) | ( ~ (v20 = 0) & greater_or_equal(v12, v13) = v20))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (capability(v9, v11) = v12) | ~ (capability(v9, v10) = v13) | ~ (greater_or_equal(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v15 = 0 & has_immunity(v9, v11) = 0) | (v15 = 0 & has_immunity(v9, v10) = 0) | ( ~ (v15 = 0) & organization(v9) = v15) | (( ~ (v13 = v12) | (v20 = v19 & hazard_of_mortality(v9, v11) = v19 & hazard_of_mortality(v9, v10) = v19) | ( ~ (v17 = v16) & position(v9, v11) = v16 & position(v9, v10) = v17)) & ((v21 = 0 & hazard_of_mortality(v9, v11) = v19 & hazard_of_mortality(v9, v10) = v20 & smaller(v19, v20) = 0) | (( ~ (v14 = 0) | ( ~ (v21 = 0) & position(v9, v11) = v16 & position(v9, v10) = v17 & greater(v16, v17) = v21)) & (( ~ (v18 = 0) & position(v9, v11) = v16 & position(v9, v10) = v17 & greater_or_equal(v16, v17) = v18) | ( ~ (v15 = 0) & greater(v12, v13) = v15))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (capability(v9, v11) = v12) | ~ (capability(v9, v10) = v13) | ~ (smaller(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (( ~ (v15 = 0) & organization(v9) = v15) | ((v14 = 0 | ( ~ (v20 = 0) & internal_friction(v9, v11) = v18 & internal_friction(v9, v10) = v19 & greater(v18, v19) = v20) | ( ~ (v20 = 0) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16 & smaller_or_equal(v15, v16) = v20)) & (v13 = v12 | ( ~ (v19 = v18) & internal_friction(v9, v11) = v18 & internal_friction(v9, v10) = v19) | ( ~ (v16 = v15) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16)) & ((v21 = 0 & greater(v12, v13) = 0) | ( ~ (v21 = 0) & internal_friction(v9, v11) = v18 & internal_friction(v9, v10) = v19 & smaller_or_equal(v18, v19) = v21) | ( ~ (v17 = 0) & stock_of_knowledge(v9, v11) = v15 & stock_of_knowledge(v9, v10) = v16 & greater(v15, v16) = v17))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (hazard_of_mortality(v9, v11) = v12) | ~ (hazard_of_mortality(v9, v10) = v13) | ~ (smaller(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v15 = 0 & has_immunity(v9, v11) = 0) | (v15 = 0 & has_immunity(v9, v10) = 0) | ( ~ (v15 = 0) & organization(v9) = v15) | ((v14 = 0 | ((( ~ (v21 = 0) & position(v9, v11) = v18 & position(v9, v10) = v19 & greater_or_equal(v18, v19) = v21) | ( ~ (v17 = 0) & capability(v9, v11) = v15 & capability(v9, v10) = v16 & greater(v15, v16) = v17)) & (( ~ (v20 = 0) & position(v9, v11) = v18 & position(v9, v10) = v19 & greater(v18, v19) = v20) | ( ~ (v20 = 0) & capability(v9, v11) = v15 & capability(v9, v10) = v16 & greater_or_equal(v15, v16) = v20)))) & (v13 = v12 | ( ~ (v19 = v18) & position(v9, v11) = v18 & position(v9, v10) = v19) | ( ~ (v16 = v15) & capability(v9, v11) = v15 & capability(v9, v10) = v16))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (internal_friction(v9, v11) = v12) | ~ (internal_friction(v9, v10) = v13) | ? [v14] : ( ~ (v14 = 0) & organization(v9) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (age(v9, v11) = v12) | ~ (age(v9, v10) = v13) | ~ (greater(v12, v13) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = 0 & external_ties(v9, v11) = v14 & external_ties(v9, v10) = v15 & greater(v14, v15) = 0) | ( ~ (v14 = 0) & organization(v9) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (age(v9, v11) = v12) | ~ (age(v9, v10) = v13) | ~ (greater(v12, v13) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = 0 & stock_of_knowledge(v9, v11) = v14 & stock_of_knowledge(v9, v10) = v15 & greater(v14, v15) = 0) | ( ~ (v14 = 0) & organization(v9) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (greater(v10, v11) = 0) | ~ (greater(v9, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & greater(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (greater(v9, v11) = v12) | ~ (greater(v9, v10) = 0) | ? [v13] : ( ~ (v13 = 0) & greater(v10, v11) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (age(v12, v11) = v10) | ~ (age(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (external_ties(v12, v11) = v10) | ~ (external_ties(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (internal_friction(v12, v11) = v10) | ~ (internal_friction(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (stock_of_knowledge(v12, v11) = v10) | ~ (stock_of_knowledge(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (position(v12, v11) = v10) | ~ (position(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (capability(v12, v11) = v10) | ~ (capability(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (hazard_of_mortality(v12, v11) = v10) | ~ (hazard_of_mortality(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (has_immunity(v12, v11) = v10) | ~ (has_immunity(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (greater(v12, v11) = v10) | ~ (greater(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (greater_or_equal(v12, v11) = v10) | ~ (greater_or_equal(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (smaller(v12, v11) = v10) | ~ (smaller(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (smaller_or_equal(v12, v11) = v10) | ~ (smaller_or_equal(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (greater(v9, v10) = v11) | smaller(v9, v10) = 0) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (greater(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & greater_or_equal(v9, v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (smaller(v9, v10) = v11) | greater(v9, v10) = 0) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (smaller(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & smaller_or_equal(v9, v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (greater(v10, v9) = v11) | ? [v12] : ( ~ (v12 = 0) & smaller(v9, v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (greater_or_equal(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & greater(v9, v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (smaller(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & greater(v10, v9) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (smaller_or_equal(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & smaller(v9, v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (organization(v11) = v10) | ~ (organization(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (has_endowment(v11) = v10) | ~ (has_endowment(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (greater(v10, v11) = 0) | ~ (greater(v9, v10) = 0) | greater(v9, v11) = 0) & ! [v9] : ! [v10] : (v10 = v9 | ~ (greater_or_equal(v9, v10) = 0) | greater(v9, v10) = 0) & ! [v9] : ! [v10] : (v10 = v9 | ~ (smaller_or_equal(v9, v10) = 0) | smaller(v9, v10) = 0) & ! [v9] : ! [v10] : (v10 = 0 | ~ (greater_or_equal(v9, v9) = v10)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (smaller_or_equal(v9, v9) = v10)) & ! [v9] : ! [v10] : ( ~ (has_immunity(v9, v10) = 0) | ? [v11] : ((v11 = 0 & has_endowment(v9) = 0) | ( ~ (v11 = 0) & organization(v9) = v11))) & ! [v9] : ! [v10] : ( ~ (greater(v10, v9) = 0) | smaller(v9, v10) = 0) & ! [v9] : ! [v10] : ( ~ (greater(v10, v9) = 0) | ? [v11] : ( ~ (v11 = 0) & greater(v9, v10) = v11)) & ! [v9] : ! [v10] : ( ~ (greater(v9, v10) = 0) | greater_or_equal(v9, v10) = 0) & ! [v9] : ! [v10] : ( ~ (greater(v9, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & greater(v10, v9) = v11)) & ! [v9] : ! [v10] : ( ~ (greater(v9, v9) = v10) | greater_or_equal(v9, v9) = 0) & ! [v9] : ! [v10] : ( ~ (smaller(v9, v10) = 0) | greater(v10, v9) = 0) & ! [v9] : ! [v10] : ( ~ (smaller(v9, v10) = 0) | smaller_or_equal(v9, v10) = 0) & ! [v9] : ! [v10] : ( ~ (smaller(v9, v9) = v10) | smaller_or_equal(v9, v9) = 0) & ? [v9] : ? [v10] : ? [v11] : age(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : external_ties(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : internal_friction(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : stock_of_knowledge(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : position(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : capability(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : hazard_of_mortality(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : has_immunity(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : greater(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : greater_or_equal(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : smaller(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : smaller_or_equal(v10, v9) = v11 & ? [v9] : ? [v10] : organization(v9) = v10 & ? [v9] : ? [v10] : has_endowment(v9) = v10)
% 19.03/5.17 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8 yields:
% 19.03/5.17 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_5_5 = 0) & age(all_0_8_8, all_0_6_6) = all_0_4_4 & age(all_0_8_8, all_0_7_7) = all_0_3_3 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_0_2_2 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_0_1_1 & organization(all_0_8_8) = 0 & has_endowment(all_0_8_8) = all_0_5_5 & greater(all_0_4_4, all_0_3_3) = 0 & smaller(all_0_2_2, all_0_1_1) = all_0_0_0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v8 = 0) & age(v0, v2) = v6 & age(v0, v1) = v7 & greater(v6, v7) = v8) | ( ~ (v6 = 0) & organization(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v8 = 0) & age(v0, v2) = v6 & age(v0, v1) = v7 & greater(v6, v7) = v8) | ( ~ (v6 = 0) & organization(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v8 = 0 & position(v0, v2) = v6 & position(v0, v1) = v7 & greater(v6, v7) = 0)) & ( ~ (v4 = v3) | (v7 = v6 & position(v0, v2) = v6 & position(v0, v1) = v6))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0) | ( ~ (v12 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v12)) & ( ~ (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v13 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, v11) = 0) | ( ~ (v9 = 0) & smaller_or_equal(v3, v4) = v9) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9, v10) = 0) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)) & ( ~ (v4 = v3) | (v10 = v9 & capability(v0, v2) = v9 & capability(v0, v1) = v9) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v11 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & smaller(v9, v10) = 0) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11) | ( ~ (v11 = 0) & greater(v3, v4) = v11))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9, v10) = 0) | ( ~ (v8 = 0) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7 & smaller_or_equal(v6, v7) = v8)) & ( ~ (v4 = v3) | (v10 = v9 & capability(v0, v2) = v9 & capability(v0, v1) = v9) | ( ~ (v7 = v6) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7)) & ((v11 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & smaller(v9, v10) = 0) | ( ~ (v11 = 0) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7 & greater(v6, v7) = v11) | ( ~ (v11 = 0) & smaller_or_equal(v3, v4) = v11))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & greater(v7, v8) = v12)) & ( ~ (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10) | ( ~ (v8 = v7) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8)) & ((v13 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, v11) = 0) | ( ~ (v9 = 0) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & smaller_or_equal(v7, v8) = v9) | ( ~ (v6 = 0) & greater(v3, v4) = v6))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v11 = v10 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v10) | ( ~ (v7 = v6) & capability(v0, v2) = v6 & capability(v0, v1) = v7)) & ((v12 = 0 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v11 & smaller(v10, v11) = 0) | (( ~ (v5 = 0) | ( ~ (v12 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater_or_equal(v6, v7) = v12)) & (( ~ (v9 = 0) & greater_or_equal(v3, v4) = v9) | ( ~ (v8 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater(v6, v7) = v8))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v8 = 0) & external_ties(v0, v2) = v6 & external_ties(v0, v1) = v7 & greater(v6, v7) = v8)) & (v4 = v3 | ( ~ (v7 = v6) & external_ties(v0, v2) = v6 & external_ties(v0, v1) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ (greater_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v10 = v9 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v9) | ( ~ (v7 = v6) & capability(v0, v2) = v6 & capability(v0, v1) = v7)) & ((v11 = 0 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v10 & smaller(v9, v10) = 0) | (( ~ (v5 = 0) | ( ~ (v8 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater(v6, v7) = v8)) & (( ~ (v11 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater_or_equal(v6, v7) = v11) | ( ~ (v11 = 0) & greater(v3, v4) = v11))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v12 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & smaller_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)) & (v4 = v3 | ( ~ (v10 = v9) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v11 = 0 & smaller(v3, v4) = 0) | ( ~ (v11 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v10 = v9 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v9) | ( ~ (v7 = v6) & position(v0, v2) = v6 & position(v0, v1) = v7)) & ((v11 = 0 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v10 & smaller(v9, v10) = 0) | (( ~ (v5 = 0) | ( ~ (v8 = 0) & position(v0, v2) = v6 & position(v0, v1) = v7 & greater_or_equal(v6, v7) = v8)) & (( ~ (v11 = 0) & position(v0, v2) = v6 & position(v0, v1) = v7 & greater(v6, v7) = v11) | ( ~ (v11 = 0) & greater_or_equal(v3, v4) = v11))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v11 = v10 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v10) | ( ~ (v8 = v7) & position(v0, v2) = v7 & position(v0, v1) = v8)) & ((v12 = 0 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v11 & smaller(v10, v11) = 0) | (( ~ (v5 = 0) | ( ~ (v12 = 0) & position(v0, v2) = v7 & position(v0, v1) = v8 & greater(v7, v8) = v12)) & (( ~ (v9 = 0) & position(v0, v2) = v7 & position(v0, v1) = v8 & greater_or_equal(v7, v8) = v9) | ( ~ (v6 = 0) & greater(v3, v4) = v6))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v11 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11)) & (v4 = v3 | ( ~ (v10 = v9) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v12 = 0 & greater(v3, v4) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & smaller_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~ (hazard_of_mortality(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ((( ~ (v12 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 & greater_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater(v6, v7) = v8)) & (( ~ (v11 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater_or_equal(v6, v7) = v11)))) & (v4 = v3 | ( ~ (v10 = v9) & position(v0, v2) = v9 & position(v0, v1) = v10) | ( ~ (v7 = v6) & capability(v0, v2) = v6 & capability(v0, v1) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & organization(v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & external_ties(v0, v2) = v5 & external_ties(v0, v1) = v6 & greater(v5, v6) = 0) | ( ~ (v5 = 0) & organization(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & stock_of_knowledge(v0, v2) = v5 & stock_of_knowledge(v0, v1) = v6 & greater(v5, v6) = 0) | ( ~ (v5 = 0) & organization(v0) = v5))) & ! [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 | ~ (age(v3, v2) = v1) | ~ (age(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (external_ties(v3, v2) = v1) | ~ (external_ties(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (internal_friction(v3, v2) = v1) | ~ (internal_friction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (stock_of_knowledge(v3, v2) = v1) | ~ (stock_of_knowledge(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (position(v3, v2) = v1) | ~ (position(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | smaller(v0, v1) = 0) & ! [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 | v1 = v0 | ~ (smaller(v0, v1) = v2) | greater(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller_or_equal(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(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 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (has_endowment(v2) = v1) | ~ (has_endowment(v2) = v0)) & ! [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 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | smaller(v0, v1) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (greater_or_equal(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (smaller_or_equal(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (has_immunity(v0, v1) = 0) | ? [v2] : ((v2 = 0 & has_endowment(v0) = 0) | ( ~ (v2 = 0) & organization(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | smaller(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | greater_or_equal(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (greater(v0, v0) = v1) | greater_or_equal(v0, v0) = 0) & ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | greater(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | smaller_or_equal(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (smaller(v0, v0) = v1) | smaller_or_equal(v0, v0) = 0) & ? [v0] : ? [v1] : ? [v2] : age(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : external_ties(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : internal_friction(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : stock_of_knowledge(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : position(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : capability(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : hazard_of_mortality(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : has_immunity(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : greater(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : greater_or_equal(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : smaller(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : smaller_or_equal(v1, v0) = v2 & ? [v0] : ? [v1] : organization(v0) = v1 & ? [v0] : ? [v1] : has_endowment(v0) = v1
% 19.49/5.19 |
% 19.49/5.19 | Applying alpha-rule on (1) yields:
% 19.49/5.19 | (2) ~ (all_0_5_5 = 0)
% 19.49/5.19 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9, v10) = 0) | ( ~ (v8 = 0) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7 & smaller_or_equal(v6, v7) = v8)) & ( ~ (v4 = v3) | (v10 = v9 & capability(v0, v2) = v9 & capability(v0, v1) = v9) | ( ~ (v7 = v6) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7)) & ((v11 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & smaller(v9, v10) = 0) | ( ~ (v11 = 0) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7 & greater(v6, v7) = v11) | ( ~ (v11 = 0) & smaller_or_equal(v3, v4) = v11)))))
% 19.49/5.19 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))
% 19.49/5.19 | (5) ? [v0] : ? [v1] : ? [v2] : greater_or_equal(v1, v0) = v2
% 19.49/5.19 | (6) ! [v0] : ! [v1] : (v1 = 0 | ~ (greater_or_equal(v0, v0) = v1))
% 19.49/5.19 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ (greater_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v10 = v9 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v9) | ( ~ (v7 = v6) & capability(v0, v2) = v6 & capability(v0, v1) = v7)) & ((v11 = 0 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v10 & smaller(v9, v10) = 0) | (( ~ (v5 = 0) | ( ~ (v8 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater(v6, v7) = v8)) & (( ~ (v11 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater_or_equal(v6, v7) = v11) | ( ~ (v11 = 0) & greater(v3, v4) = v11)))))))
% 19.49/5.20 | (8) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3))
% 19.49/5.20 | (9) organization(all_0_8_8) = 0
% 19.49/5.20 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (position(v3, v2) = v1) | ~ (position(v3, v2) = v0))
% 19.49/5.20 | (11) hazard_of_mortality(all_0_8_8, all_0_7_7) = all_0_1_1
% 19.49/5.20 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v8 = 0) & age(v0, v2) = v6 & age(v0, v1) = v7 & greater(v6, v7) = v8) | ( ~ (v6 = 0) & organization(v0) = v6)))
% 19.49/5.20 | (13) greater(all_0_4_4, all_0_3_3) = 0
% 19.49/5.20 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v11 = v10 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v10) | ( ~ (v8 = v7) & position(v0, v2) = v7 & position(v0, v1) = v8)) & ((v12 = 0 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v11 & smaller(v10, v11) = 0) | (( ~ (v5 = 0) | ( ~ (v12 = 0) & position(v0, v2) = v7 & position(v0, v1) = v8 & greater(v7, v8) = v12)) & (( ~ (v9 = 0) & position(v0, v2) = v7 & position(v0, v1) = v8 & greater_or_equal(v7, v8) = v9) | ( ~ (v6 = 0) & greater(v3, v4) = v6)))))))
% 19.49/5.20 | (15) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller_or_equal(v0, v1) = v3))
% 19.49/5.20 | (16) ? [v0] : ? [v1] : ? [v2] : stock_of_knowledge(v1, v0) = v2
% 19.49/5.20 | (17) ? [v0] : ? [v1] : ? [v2] : greater(v1, v0) = v2
% 19.49/5.20 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0) | ( ~ (v12 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v12)) & ( ~ (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v13 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, v11) = 0) | ( ~ (v9 = 0) & smaller_or_equal(v3, v4) = v9) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)))))
% 19.49/5.20 | (19) ? [v0] : ? [v1] : organization(v0) = v1
% 19.49/5.20 | (20) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | greater(v1, v0) = 0)
% 19.49/5.20 | (21) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | smaller(v0, v1) = 0)
% 19.49/5.20 | (22) smaller(all_0_2_2, all_0_1_1) = all_0_0_0
% 19.49/5.20 | (23) ! [v0] : ! [v1] : (v1 = 0 | ~ (smaller_or_equal(v0, v0) = v1))
% 19.49/5.20 | (24) ! [v0] : ! [v1] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0)
% 19.49/5.20 | (25) ! [v0] : ! [v1] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | smaller(v0, v1) = 0)
% 19.49/5.20 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v8 = 0 & position(v0, v2) = v6 & position(v0, v1) = v7 & greater(v6, v7) = 0)) & ( ~ (v4 = v3) | (v7 = v6 & position(v0, v2) = v6 & position(v0, v1) = v6)))))
% 19.49/5.20 | (27) ? [v0] : ? [v1] : has_endowment(v0) = v1
% 19.49/5.20 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & organization(v0) = v5))
% 19.49/5.20 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~ (hazard_of_mortality(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ((( ~ (v12 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 & greater_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater(v6, v7) = v8)) & (( ~ (v11 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater_or_equal(v6, v7) = v11)))) & (v4 = v3 | ( ~ (v10 = v9) & position(v0, v2) = v9 & position(v0, v1) = v10) | ( ~ (v7 = v6) & capability(v0, v2) = v6 & capability(v0, v1) = v7)))))
% 19.49/5.20 | (30) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | greater_or_equal(v0, v1) = 0)
% 19.49/5.20 | (31) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3))
% 19.49/5.20 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = 0) | ~ (greater(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4))
% 19.49/5.20 | (33) hazard_of_mortality(all_0_8_8, all_0_6_6) = all_0_2_2
% 19.49/5.20 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (stock_of_knowledge(v3, v2) = v1) | ~ (stock_of_knowledge(v3, v2) = v0))
% 19.49/5.20 | (35) ? [v0] : ? [v1] : ? [v2] : internal_friction(v1, v0) = v2
% 19.49/5.20 | (36) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | smaller_or_equal(v0, v1) = 0)
% 19.49/5.20 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v8 = 0) & age(v0, v2) = v6 & age(v0, v1) = v7 & greater(v6, v7) = v8) | ( ~ (v6 = 0) & organization(v0) = v6)))
% 19.49/5.21 | (38) ? [v0] : ? [v1] : ? [v2] : has_immunity(v1, v0) = v2
% 19.49/5.21 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0))
% 19.49/5.21 | (40) ? [v0] : ? [v1] : ? [v2] : smaller_or_equal(v1, v0) = v2
% 19.49/5.21 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3, v2) = v0))
% 19.49/5.21 | (42) ! [v0] : ! [v1] : ( ~ (smaller(v0, v0) = v1) | smaller_or_equal(v0, v0) = 0)
% 19.49/5.21 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v12 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & smaller_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)) & (v4 = v3 | ( ~ (v10 = v9) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v11 = 0 & smaller(v3, v4) = 0) | ( ~ (v11 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11)))))
% 19.49/5.21 | (44) ? [v0] : ? [v1] : ? [v2] : external_ties(v1, v0) = v2
% 19.49/5.21 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v11 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11)) & (v4 = v3 | ( ~ (v10 = v9) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v12 = 0 & greater(v3, v4) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & smaller_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)))))
% 19.49/5.21 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0))
% 19.49/5.21 | (47) age(all_0_8_8, all_0_7_7) = all_0_3_3
% 19.49/5.21 | (48) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | greater(v0, v1) = 0)
% 19.49/5.21 | (49) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | smaller(v0, v1) = 0)
% 19.49/5.21 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0))
% 19.49/5.21 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0)
% 19.49/5.21 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & greater(v7, v8) = v12)) & ( ~ (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10) | ( ~ (v8 = v7) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8)) & ((v13 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, v11) = 0) | ( ~ (v9 = 0) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & smaller_or_equal(v7, v8) = v9) | ( ~ (v6 = 0) & greater(v3, v4) = v6)))))
% 19.49/5.21 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v8 = 0) & external_ties(v0, v2) = v6 & external_ties(v0, v1) = v7 & greater(v6, v7) = v8)) & (v4 = v3 | ( ~ (v7 = v6) & external_ties(v0, v2) = v6 & external_ties(v0, v1) = v7)))))
% 19.49/5.21 | (54) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v1, v0) = v2))
% 19.49/5.21 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (external_ties(v3, v2) = v1) | ~ (external_ties(v3, v2) = v0))
% 19.49/5.21 | (56) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 19.49/5.21 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9, v10) = 0) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)) & ( ~ (v4 = v3) | (v10 = v9 & capability(v0, v2) = v9 & capability(v0, v1) = v9) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v11 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & smaller(v9, v10) = 0) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11) | ( ~ (v11 = 0) & greater(v3, v4) = v11)))))
% 19.49/5.21 | (58) ? [v0] : ? [v1] : ? [v2] : smaller(v1, v0) = v2
% 19.49/5.21 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (has_endowment(v2) = v1) | ~ (has_endowment(v2) = v0))
% 19.49/5.21 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & stock_of_knowledge(v0, v2) = v5 & stock_of_knowledge(v0, v1) = v6 & greater(v5, v6) = 0) | ( ~ (v5 = 0) & organization(v0) = v5)))
% 19.49/5.21 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v10 = v9 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v9) | ( ~ (v7 = v6) & position(v0, v2) = v6 & position(v0, v1) = v7)) & ((v11 = 0 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v10 & smaller(v9, v10) = 0) | (( ~ (v5 = 0) | ( ~ (v8 = 0) & position(v0, v2) = v6 & position(v0, v1) = v7 & greater_or_equal(v6, v7) = v8)) & (( ~ (v11 = 0) & position(v0, v2) = v6 & position(v0, v1) = v7 & greater(v6, v7) = v11) | ( ~ (v11 = 0) & greater_or_equal(v3, v4) = v11)))))))
% 19.49/5.22 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0))
% 19.49/5.22 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 19.49/5.22 | (64) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 19.49/5.22 | (65) ! [v0] : ! [v1] : ( ~ (has_immunity(v0, v1) = 0) | ? [v2] : ((v2 = 0 & has_endowment(v0) = 0) | ( ~ (v2 = 0) & organization(v0) = v2)))
% 19.49/5.22 | (66) ? [v0] : ? [v1] : ? [v2] : hazard_of_mortality(v1, v0) = v2
% 19.49/5.22 | (67) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3))
% 19.49/5.22 | (68) ~ (all_0_0_0 = 0)
% 19.49/5.22 | (69) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2))
% 19.49/5.22 | (70) ? [v0] : ? [v1] : ? [v2] : position(v1, v0) = v2
% 19.49/5.22 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (internal_friction(v3, v2) = v1) | ~ (internal_friction(v3, v2) = v0))
% 19.49/5.22 | (72) age(all_0_8_8, all_0_6_6) = all_0_4_4
% 19.49/5.22 | (73) ? [v0] : ? [v1] : ? [v2] : age(v1, v0) = v2
% 19.49/5.22 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0))
% 19.49/5.22 | (75) has_endowment(all_0_8_8) = all_0_5_5
% 19.49/5.22 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v11 = v10 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v10) | ( ~ (v7 = v6) & capability(v0, v2) = v6 & capability(v0, v1) = v7)) & ((v12 = 0 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v11 & smaller(v10, v11) = 0) | (( ~ (v5 = 0) | ( ~ (v12 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater_or_equal(v6, v7) = v12)) & (( ~ (v9 = 0) & greater_or_equal(v3, v4) = v9) | ( ~ (v8 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater(v6, v7) = v8)))))))
% 19.49/5.22 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0))
% 19.49/5.22 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (age(v3, v2) = v1) | ~ (age(v3, v2) = v0))
% 19.49/5.22 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & external_ties(v0, v2) = v5 & external_ties(v0, v1) = v6 & greater(v5, v6) = 0) | ( ~ (v5 = 0) & organization(v0) = v5)))
% 19.49/5.22 | (80) ! [v0] : ! [v1] : ( ~ (greater(v0, v0) = v1) | greater_or_equal(v0, v0) = 0)
% 19.49/5.22 | (81) ? [v0] : ? [v1] : ? [v2] : capability(v1, v0) = v2
% 19.49/5.22 |
% 19.49/5.22 | Instantiating formula (79) with all_0_3_3, all_0_4_4, all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms age(all_0_8_8, all_0_6_6) = all_0_4_4, age(all_0_8_8, all_0_7_7) = all_0_3_3, greater(all_0_4_4, all_0_3_3) = 0, yields:
% 19.49/5.22 | (82) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & external_ties(all_0_8_8, all_0_6_6) = v0 & external_ties(all_0_8_8, all_0_7_7) = v1 & greater(v0, v1) = 0) | ( ~ (v0 = 0) & organization(all_0_8_8) = v0))
% 19.49/5.22 |
% 19.49/5.22 | Instantiating formula (60) with all_0_3_3, all_0_4_4, all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms age(all_0_8_8, all_0_6_6) = all_0_4_4, age(all_0_8_8, all_0_7_7) = all_0_3_3, greater(all_0_4_4, all_0_3_3) = 0, yields:
% 19.49/5.22 | (83) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & stock_of_knowledge(all_0_8_8, all_0_6_6) = v0 & stock_of_knowledge(all_0_8_8, all_0_7_7) = v1 & greater(v0, v1) = 0) | ( ~ (v0 = 0) & organization(all_0_8_8) = v0))
% 19.49/5.22 |
% 19.49/5.22 | Instantiating formula (15) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms smaller(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 19.49/5.22 | (84) all_0_0_0 = 0 | all_0_1_1 = all_0_2_2 | ? [v0] : ( ~ (v0 = 0) & smaller_or_equal(all_0_2_2, all_0_1_1) = v0)
% 19.49/5.22 |
% 19.49/5.22 | Instantiating formula (8) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms smaller(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 19.49/5.22 | (85) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_0_1_1, all_0_2_2) = v0)
% 19.49/5.22 |
% 19.49/5.22 | Instantiating (83) with all_37_0_49, all_37_1_50, all_37_2_51 yields:
% 19.49/5.22 | (86) (all_37_0_49 = 0 & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_37_2_51 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_37_1_50 & greater(all_37_2_51, all_37_1_50) = 0) | ( ~ (all_37_2_51 = 0) & organization(all_0_8_8) = all_37_2_51)
% 19.49/5.22 |
% 19.49/5.22 | Instantiating (82) with all_38_0_52, all_38_1_53, all_38_2_54 yields:
% 19.49/5.22 | (87) (all_38_0_52 = 0 & external_ties(all_0_8_8, all_0_6_6) = all_38_2_54 & external_ties(all_0_8_8, all_0_7_7) = all_38_1_53 & greater(all_38_2_54, all_38_1_53) = 0) | ( ~ (all_38_2_54 = 0) & organization(all_0_8_8) = all_38_2_54)
% 19.49/5.22 |
% 19.49/5.22 +-Applying beta-rule and splitting (86), into two cases.
% 19.49/5.22 |-Branch one:
% 19.49/5.22 | (88) all_37_0_49 = 0 & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_37_2_51 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_37_1_50 & greater(all_37_2_51, all_37_1_50) = 0
% 19.49/5.22 |
% 19.49/5.22 | Applying alpha-rule on (88) yields:
% 19.49/5.22 | (89) all_37_0_49 = 0
% 19.49/5.22 | (90) stock_of_knowledge(all_0_8_8, all_0_6_6) = all_37_2_51
% 19.49/5.22 | (91) stock_of_knowledge(all_0_8_8, all_0_7_7) = all_37_1_50
% 19.49/5.22 | (92) greater(all_37_2_51, all_37_1_50) = 0
% 19.49/5.22 |
% 19.49/5.22 +-Applying beta-rule and splitting (85), into two cases.
% 19.49/5.22 |-Branch one:
% 19.49/5.22 | (93) all_0_0_0 = 0
% 19.49/5.22 |
% 19.49/5.22 | Equations (93) can reduce 68 to:
% 19.49/5.22 | (94) $false
% 19.49/5.22 |
% 19.49/5.22 |-The branch is then unsatisfiable
% 19.49/5.22 |-Branch two:
% 19.49/5.22 | (68) ~ (all_0_0_0 = 0)
% 19.49/5.23 | (96) ? [v0] : ( ~ (v0 = 0) & greater(all_0_1_1, all_0_2_2) = v0)
% 19.70/5.23 |
% 19.70/5.23 +-Applying beta-rule and splitting (87), into two cases.
% 19.70/5.23 |-Branch one:
% 19.70/5.23 | (97) all_38_0_52 = 0 & external_ties(all_0_8_8, all_0_6_6) = all_38_2_54 & external_ties(all_0_8_8, all_0_7_7) = all_38_1_53 & greater(all_38_2_54, all_38_1_53) = 0
% 19.70/5.23 |
% 19.70/5.23 | Applying alpha-rule on (97) yields:
% 19.70/5.23 | (98) all_38_0_52 = 0
% 19.70/5.23 | (99) external_ties(all_0_8_8, all_0_6_6) = all_38_2_54
% 19.70/5.23 | (100) external_ties(all_0_8_8, all_0_7_7) = all_38_1_53
% 19.70/5.23 | (101) greater(all_38_2_54, all_38_1_53) = 0
% 19.70/5.23 |
% 19.70/5.23 | Instantiating formula (26) with 0, all_38_1_53, all_38_2_54, all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms external_ties(all_0_8_8, all_0_6_6) = all_38_2_54, external_ties(all_0_8_8, all_0_7_7) = all_38_1_53, greater(all_38_2_54, all_38_1_53) = 0, yields:
% 19.70/5.23 | (102) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & position(all_0_8_8, all_0_6_6) = v0 & position(all_0_8_8, all_0_7_7) = v1 & greater(v0, v1) = 0 & ( ~ (all_38_1_53 = all_38_2_54) | (v1 = v0 & position(all_0_8_8, all_0_7_7) = v0))) | ( ~ (v0 = 0) & organization(all_0_8_8) = v0))
% 19.70/5.23 |
% 19.70/5.23 | Instantiating formula (21) with all_37_2_51, all_37_1_50 and discharging atoms greater(all_37_2_51, all_37_1_50) = 0, yields:
% 19.70/5.23 | (103) smaller(all_37_1_50, all_37_2_51) = 0
% 19.70/5.23 |
% 19.70/5.23 | Instantiating formula (69) with all_37_2_51, all_37_1_50 and discharging atoms greater(all_37_2_51, all_37_1_50) = 0, yields:
% 19.70/5.23 | (104) ? [v0] : ( ~ (v0 = 0) & greater(all_37_1_50, all_37_2_51) = v0)
% 19.70/5.23 |
% 19.70/5.23 | Instantiating (102) with all_61_0_64, all_61_1_65, all_61_2_66 yields:
% 19.70/5.23 | (105) (all_61_0_64 = 0 & position(all_0_8_8, all_0_6_6) = all_61_2_66 & position(all_0_8_8, all_0_7_7) = all_61_1_65 & greater(all_61_2_66, all_61_1_65) = 0 & ( ~ (all_38_1_53 = all_38_2_54) | (all_61_1_65 = all_61_2_66 & position(all_0_8_8, all_0_7_7) = all_61_2_66))) | ( ~ (all_61_2_66 = 0) & organization(all_0_8_8) = all_61_2_66)
% 19.70/5.23 |
% 19.70/5.23 | Instantiating (104) with all_65_0_75 yields:
% 19.70/5.23 | (106) ~ (all_65_0_75 = 0) & greater(all_37_1_50, all_37_2_51) = all_65_0_75
% 19.70/5.23 |
% 19.70/5.23 | Applying alpha-rule on (106) yields:
% 19.70/5.23 | (107) ~ (all_65_0_75 = 0)
% 19.70/5.23 | (108) greater(all_37_1_50, all_37_2_51) = all_65_0_75
% 19.70/5.23 |
% 19.70/5.23 +-Applying beta-rule and splitting (105), into two cases.
% 19.70/5.23 |-Branch one:
% 19.70/5.23 | (109) all_61_0_64 = 0 & position(all_0_8_8, all_0_6_6) = all_61_2_66 & position(all_0_8_8, all_0_7_7) = all_61_1_65 & greater(all_61_2_66, all_61_1_65) = 0 & ( ~ (all_38_1_53 = all_38_2_54) | (all_61_1_65 = all_61_2_66 & position(all_0_8_8, all_0_7_7) = all_61_2_66))
% 19.70/5.23 |
% 19.70/5.23 | Applying alpha-rule on (109) yields:
% 19.70/5.23 | (110) greater(all_61_2_66, all_61_1_65) = 0
% 19.70/5.23 | (111) position(all_0_8_8, all_0_7_7) = all_61_1_65
% 19.70/5.23 | (112) position(all_0_8_8, all_0_6_6) = all_61_2_66
% 19.70/5.23 | (113) all_61_0_64 = 0
% 19.70/5.23 | (114) ~ (all_38_1_53 = all_38_2_54) | (all_61_1_65 = all_61_2_66 & position(all_0_8_8, all_0_7_7) = all_61_2_66)
% 19.70/5.23 |
% 19.70/5.23 | Instantiating formula (76) with 0, all_61_1_65, all_61_2_66, all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms position(all_0_8_8, all_0_6_6) = all_61_2_66, position(all_0_8_8, all_0_7_7) = all_61_1_65, greater(all_61_2_66, all_61_1_65) = 0, yields:
% 19.70/5.23 | (115) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v0 = 0 & has_immunity(all_0_8_8, all_0_6_6) = 0) | (v0 = 0 & has_immunity(all_0_8_8, all_0_7_7) = 0) | ( ~ (v0 = 0) & organization(all_0_8_8) = v0) | (( ~ (all_61_1_65 = all_61_2_66) | (v5 = v4 & hazard_of_mortality(all_0_8_8, all_0_6_6) = v4 & hazard_of_mortality(all_0_8_8, all_0_7_7) = v4) | ( ~ (v1 = v0) & capability(all_0_8_8, all_0_6_6) = v0 & capability(all_0_8_8, all_0_7_7) = v1)) & ((v6 = 0 & hazard_of_mortality(all_0_8_8, all_0_6_6) = v4 & hazard_of_mortality(all_0_8_8, all_0_7_7) = v5 & smaller(v4, v5) = 0) | ( ~ (v6 = 0) & capability(all_0_8_8, all_0_6_6) = v0 & capability(all_0_8_8, all_0_7_7) = v1 & greater_or_equal(v0, v1) = v6 & (( ~ (v3 = 0) & greater_or_equal(all_61_2_66, all_61_1_65) = v3) | ( ~ (v2 = 0) & greater(v0, v1) = v2))))))
% 19.70/5.23 |
% 19.70/5.23 | Instantiating formula (30) with all_61_1_65, all_61_2_66 and discharging atoms greater(all_61_2_66, all_61_1_65) = 0, yields:
% 19.70/5.23 | (116) greater_or_equal(all_61_2_66, all_61_1_65) = 0
% 19.70/5.23 |
% 19.70/5.23 | Instantiating formula (3) with all_65_0_75, all_37_2_51, all_37_1_50, all_0_7_7, all_0_6_6, all_0_8_8 and discharging atoms stock_of_knowledge(all_0_8_8, all_0_6_6) = all_37_2_51, stock_of_knowledge(all_0_8_8, all_0_7_7) = all_37_1_50, greater(all_37_1_50, all_37_2_51) = all_65_0_75, yields:
% 19.70/5.23 | (117) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v0 = 0) & organization(all_0_8_8) = v0) | (( ~ (all_65_0_75 = 0) | (v6 = 0 & capability(all_0_8_8, all_0_6_6) = v4 & capability(all_0_8_8, all_0_7_7) = v3 & greater(v3, v4) = 0) | ( ~ (v2 = 0) & internal_friction(all_0_8_8, all_0_6_6) = v1 & internal_friction(all_0_8_8, all_0_7_7) = v0 & smaller_or_equal(v0, v1) = v2)) & ( ~ (all_37_1_50 = all_37_2_51) | (v4 = v3 & capability(all_0_8_8, all_0_6_6) = v3 & capability(all_0_8_8, all_0_7_7) = v3) | ( ~ (v1 = v0) & internal_friction(all_0_8_8, all_0_6_6) = v1 & internal_friction(all_0_8_8, all_0_7_7) = v0)) & ((v5 = 0 & capability(all_0_8_8, all_0_6_6) = v4 & capability(all_0_8_8, all_0_7_7) = v3 & smaller(v3, v4) = 0) | ( ~ (v5 = 0) & internal_friction(all_0_8_8, all_0_6_6) = v1 & internal_friction(all_0_8_8, all_0_7_7) = v0 & greater(v0, v1) = v5) | ( ~ (v5 = 0) & smaller_or_equal(all_37_1_50, all_37_2_51) = v5))))
% 19.70/5.23 |
% 19.70/5.23 | Instantiating formula (36) with all_37_2_51, all_37_1_50 and discharging atoms smaller(all_37_1_50, all_37_2_51) = 0, yields:
% 19.70/5.23 | (118) smaller_or_equal(all_37_1_50, all_37_2_51) = 0
% 19.70/5.23 |
% 19.70/5.23 | Instantiating (115) with all_83_0_79, all_83_1_80, all_83_2_81, all_83_3_82, all_83_4_83, all_83_5_84, all_83_6_85 yields:
% 19.70/5.23 | (119) (all_83_6_85 = 0 & has_immunity(all_0_8_8, all_0_6_6) = 0) | (all_83_6_85 = 0 & has_immunity(all_0_8_8, all_0_7_7) = 0) | ( ~ (all_83_6_85 = 0) & organization(all_0_8_8) = all_83_6_85) | (( ~ (all_61_1_65 = all_61_2_66) | (all_83_1_80 = all_83_2_81 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_83_2_81 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_83_2_81) | ( ~ (all_83_5_84 = all_83_6_85) & capability(all_0_8_8, all_0_6_6) = all_83_6_85 & capability(all_0_8_8, all_0_7_7) = all_83_5_84)) & ((all_83_0_79 = 0 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_83_2_81 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_83_1_80 & smaller(all_83_2_81, all_83_1_80) = 0) | ( ~ (all_83_0_79 = 0) & capability(all_0_8_8, all_0_6_6) = all_83_6_85 & capability(all_0_8_8, all_0_7_7) = all_83_5_84 & greater_or_equal(all_83_6_85, all_83_5_84) = all_83_0_79 & (( ~ (all_83_3_82 = 0) & greater_or_equal(all_61_2_66, all_61_1_65) = all_83_3_82) | ( ~ (all_83_4_83 = 0) & greater(all_83_6_85, all_83_5_84) = all_83_4_83)))))
% 19.70/5.23 |
% 19.70/5.23 | Instantiating (117) with all_87_0_90, all_87_1_91, all_87_2_92, all_87_3_93, all_87_4_94, all_87_5_95, all_87_6_96 yields:
% 19.70/5.23 | (120) ( ~ (all_87_6_96 = 0) & organization(all_0_8_8) = all_87_6_96) | (( ~ (all_65_0_75 = 0) | (all_87_0_90 = 0 & capability(all_0_8_8, all_0_6_6) = all_87_2_92 & capability(all_0_8_8, all_0_7_7) = all_87_3_93 & greater(all_87_3_93, all_87_2_92) = 0) | ( ~ (all_87_4_94 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96 & smaller_or_equal(all_87_6_96, all_87_5_95) = all_87_4_94)) & ( ~ (all_37_1_50 = all_37_2_51) | (all_87_2_92 = all_87_3_93 & capability(all_0_8_8, all_0_6_6) = all_87_3_93 & capability(all_0_8_8, all_0_7_7) = all_87_3_93) | ( ~ (all_87_5_95 = all_87_6_96) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96)) & ((all_87_1_91 = 0 & capability(all_0_8_8, all_0_6_6) = all_87_2_92 & capability(all_0_8_8, all_0_7_7) = all_87_3_93 & smaller(all_87_3_93, all_87_2_92) = 0) | ( ~ (all_87_1_91 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96 & greater(all_87_6_96, all_87_5_95) = all_87_1_91) | ( ~ (all_87_1_91 = 0) & smaller_or_equal(all_37_1_50, all_37_2_51) = all_87_1_91)))
% 19.70/5.23 |
% 19.70/5.23 | Instantiating formula (7) with 0, all_61_1_65, all_61_2_66, all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms position(all_0_8_8, all_0_6_6) = all_61_2_66, position(all_0_8_8, all_0_7_7) = all_61_1_65, greater_or_equal(all_61_2_66, all_61_1_65) = 0, yields:
% 19.70/5.23 | (121) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v0 = 0 & has_immunity(all_0_8_8, all_0_6_6) = 0) | (v0 = 0 & has_immunity(all_0_8_8, all_0_7_7) = 0) | ( ~ (v0 = 0) & organization(all_0_8_8) = v0) | (( ~ (all_61_1_65 = all_61_2_66) | (v4 = v3 & hazard_of_mortality(all_0_8_8, all_0_6_6) = v3 & hazard_of_mortality(all_0_8_8, all_0_7_7) = v3) | ( ~ (v1 = v0) & capability(all_0_8_8, all_0_6_6) = v0 & capability(all_0_8_8, all_0_7_7) = v1)) & ((v5 = 0 & hazard_of_mortality(all_0_8_8, all_0_6_6) = v3 & hazard_of_mortality(all_0_8_8, all_0_7_7) = v4 & smaller(v3, v4) = 0) | ( ~ (v2 = 0) & capability(all_0_8_8, all_0_6_6) = v0 & capability(all_0_8_8, all_0_7_7) = v1 & greater(v0, v1) = v2 & (( ~ (v5 = 0) & greater(all_61_2_66, all_61_1_65) = v5) | ( ~ (v5 = 0) & greater_or_equal(v0, v1) = v5))))))
% 19.70/5.24 |
% 19.70/5.24 | Instantiating formula (52) with 0, all_37_2_51, all_37_1_50, all_0_7_7, all_0_6_6, all_0_8_8 and discharging atoms stock_of_knowledge(all_0_8_8, all_0_6_6) = all_37_2_51, stock_of_knowledge(all_0_8_8, all_0_7_7) = all_37_1_50, smaller_or_equal(all_37_1_50, all_37_2_51) = 0, yields:
% 19.70/5.24 | (122) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v0 = 0) & organization(all_0_8_8) = v0) | (( ~ (all_37_1_50 = all_37_2_51) | (v5 = v4 & capability(all_0_8_8, all_0_6_6) = v4 & capability(all_0_8_8, all_0_7_7) = v4) | ( ~ (v2 = v1) & internal_friction(all_0_8_8, all_0_6_6) = v2 & internal_friction(all_0_8_8, all_0_7_7) = v1)) & ((v7 = 0 & capability(all_0_8_8, all_0_6_6) = v5 & capability(all_0_8_8, all_0_7_7) = v4 & greater(v4, v5) = 0) | ( ~ (v3 = 0) & internal_friction(all_0_8_8, all_0_6_6) = v2 & internal_friction(all_0_8_8, all_0_7_7) = v1 & smaller_or_equal(v1, v2) = v3) | ( ~ (v0 = 0) & greater(all_37_1_50, all_37_2_51) = v0)) & ((v6 = 0 & capability(all_0_8_8, all_0_6_6) = v5 & capability(all_0_8_8, all_0_7_7) = v4 & smaller(v4, v5) = 0) | ( ~ (v6 = 0) & internal_friction(all_0_8_8, all_0_6_6) = v2 & internal_friction(all_0_8_8, all_0_7_7) = v1 & greater(v1, v2) = v6))))
% 19.70/5.24 |
% 19.70/5.24 | Instantiating (121) with all_105_0_99, all_105_1_100, all_105_2_101, all_105_3_102, all_105_4_103, all_105_5_104 yields:
% 19.70/5.24 | (123) (all_105_5_104 = 0 & has_immunity(all_0_8_8, all_0_6_6) = 0) | (all_105_5_104 = 0 & has_immunity(all_0_8_8, all_0_7_7) = 0) | ( ~ (all_105_5_104 = 0) & organization(all_0_8_8) = all_105_5_104) | (( ~ (all_61_1_65 = all_61_2_66) | (all_105_1_100 = all_105_2_101 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_105_2_101 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_105_2_101) | ( ~ (all_105_4_103 = all_105_5_104) & capability(all_0_8_8, all_0_6_6) = all_105_5_104 & capability(all_0_8_8, all_0_7_7) = all_105_4_103)) & ((all_105_0_99 = 0 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_105_2_101 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_105_1_100 & smaller(all_105_2_101, all_105_1_100) = 0) | ( ~ (all_105_3_102 = 0) & capability(all_0_8_8, all_0_6_6) = all_105_5_104 & capability(all_0_8_8, all_0_7_7) = all_105_4_103 & greater(all_105_5_104, all_105_4_103) = all_105_3_102 & (( ~ (all_105_0_99 = 0) & greater(all_61_2_66, all_61_1_65) = all_105_0_99) | ( ~ (all_105_0_99 = 0) & greater_or_equal(all_105_5_104, all_105_4_103) = all_105_0_99)))))
% 19.70/5.24 |
% 19.70/5.24 | Instantiating (122) with all_108_0_115, all_108_1_116, all_108_2_117, all_108_3_118, all_108_4_119, all_108_5_120, all_108_6_121, all_108_7_122 yields:
% 19.70/5.24 | (124) ( ~ (all_108_7_122 = 0) & organization(all_0_8_8) = all_108_7_122) | (( ~ (all_37_1_50 = all_37_2_51) | (all_108_2_117 = all_108_3_118 & capability(all_0_8_8, all_0_6_6) = all_108_3_118 & capability(all_0_8_8, all_0_7_7) = all_108_3_118) | ( ~ (all_108_5_120 = all_108_6_121) & internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120 & internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121)) & ((all_108_0_115 = 0 & capability(all_0_8_8, all_0_6_6) = all_108_2_117 & capability(all_0_8_8, all_0_7_7) = all_108_3_118 & greater(all_108_3_118, all_108_2_117) = 0) | ( ~ (all_108_4_119 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120 & internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121 & smaller_or_equal(all_108_6_121, all_108_5_120) = all_108_4_119) | ( ~ (all_108_7_122 = 0) & greater(all_37_1_50, all_37_2_51) = all_108_7_122)) & ((all_108_1_116 = 0 & capability(all_0_8_8, all_0_6_6) = all_108_2_117 & capability(all_0_8_8, all_0_7_7) = all_108_3_118 & smaller(all_108_3_118, all_108_2_117) = 0) | ( ~ (all_108_1_116 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120 & internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121 & greater(all_108_6_121, all_108_5_120) = all_108_1_116)))
% 19.70/5.24 |
% 19.70/5.24 +-Applying beta-rule and splitting (84), into two cases.
% 19.70/5.24 |-Branch one:
% 19.70/5.24 | (93) all_0_0_0 = 0
% 19.70/5.24 |
% 19.70/5.24 | Equations (93) can reduce 68 to:
% 19.70/5.24 | (94) $false
% 19.70/5.24 |
% 19.70/5.24 |-The branch is then unsatisfiable
% 19.70/5.24 |-Branch two:
% 19.70/5.24 | (68) ~ (all_0_0_0 = 0)
% 19.70/5.24 | (128) all_0_1_1 = all_0_2_2 | ? [v0] : ( ~ (v0 = 0) & smaller_or_equal(all_0_2_2, all_0_1_1) = v0)
% 19.70/5.24 |
% 19.70/5.24 +-Applying beta-rule and splitting (119), into two cases.
% 19.70/5.24 |-Branch one:
% 19.70/5.24 | (129) (all_83_6_85 = 0 & has_immunity(all_0_8_8, all_0_6_6) = 0) | (all_83_6_85 = 0 & has_immunity(all_0_8_8, all_0_7_7) = 0) | ( ~ (all_83_6_85 = 0) & organization(all_0_8_8) = all_83_6_85)
% 19.70/5.24 |
% 19.70/5.24 +-Applying beta-rule and splitting (129), into two cases.
% 19.70/5.24 |-Branch one:
% 19.70/5.24 | (130) (all_83_6_85 = 0 & has_immunity(all_0_8_8, all_0_6_6) = 0) | (all_83_6_85 = 0 & has_immunity(all_0_8_8, all_0_7_7) = 0)
% 19.70/5.24 |
% 19.70/5.24 +-Applying beta-rule and splitting (130), into two cases.
% 19.70/5.24 |-Branch one:
% 19.70/5.24 | (131) all_83_6_85 = 0 & has_immunity(all_0_8_8, all_0_6_6) = 0
% 19.70/5.24 |
% 19.70/5.24 | Applying alpha-rule on (131) yields:
% 19.70/5.24 | (132) all_83_6_85 = 0
% 19.70/5.24 | (133) has_immunity(all_0_8_8, all_0_6_6) = 0
% 19.70/5.24 |
% 19.70/5.24 | Instantiating formula (65) with all_0_6_6, all_0_8_8 and discharging atoms has_immunity(all_0_8_8, all_0_6_6) = 0, yields:
% 19.70/5.24 | (134) ? [v0] : ((v0 = 0 & has_endowment(all_0_8_8) = 0) | ( ~ (v0 = 0) & organization(all_0_8_8) = v0))
% 19.78/5.24 |
% 19.78/5.24 | Instantiating (134) with all_250_0_141 yields:
% 19.78/5.24 | (135) (all_250_0_141 = 0 & has_endowment(all_0_8_8) = 0) | ( ~ (all_250_0_141 = 0) & organization(all_0_8_8) = all_250_0_141)
% 19.78/5.24 |
% 19.78/5.24 +-Applying beta-rule and splitting (135), into two cases.
% 19.78/5.24 |-Branch one:
% 19.78/5.24 | (136) all_250_0_141 = 0 & has_endowment(all_0_8_8) = 0
% 19.78/5.24 |
% 19.78/5.24 | Applying alpha-rule on (136) yields:
% 19.78/5.24 | (137) all_250_0_141 = 0
% 19.78/5.24 | (138) has_endowment(all_0_8_8) = 0
% 19.78/5.24 |
% 19.78/5.24 | Instantiating formula (59) with all_0_8_8, 0, all_0_5_5 and discharging atoms has_endowment(all_0_8_8) = all_0_5_5, has_endowment(all_0_8_8) = 0, yields:
% 19.78/5.24 | (139) all_0_5_5 = 0
% 19.78/5.24 |
% 19.78/5.24 | Equations (139) can reduce 2 to:
% 19.78/5.24 | (94) $false
% 19.78/5.24 |
% 19.78/5.24 |-The branch is then unsatisfiable
% 19.78/5.24 |-Branch two:
% 19.78/5.24 | (141) ~ (all_250_0_141 = 0) & organization(all_0_8_8) = all_250_0_141
% 19.78/5.24 |
% 19.78/5.24 | Applying alpha-rule on (141) yields:
% 19.78/5.24 | (142) ~ (all_250_0_141 = 0)
% 19.78/5.24 | (143) organization(all_0_8_8) = all_250_0_141
% 19.78/5.24 |
% 19.78/5.24 | Instantiating formula (63) with all_0_8_8, all_250_0_141, 0 and discharging atoms organization(all_0_8_8) = all_250_0_141, organization(all_0_8_8) = 0, yields:
% 19.78/5.24 | (137) all_250_0_141 = 0
% 19.78/5.24 |
% 19.78/5.24 | Equations (137) can reduce 142 to:
% 19.78/5.24 | (94) $false
% 19.78/5.24 |
% 19.78/5.24 |-The branch is then unsatisfiable
% 19.78/5.24 |-Branch two:
% 19.78/5.24 | (146) all_83_6_85 = 0 & has_immunity(all_0_8_8, all_0_7_7) = 0
% 19.78/5.24 |
% 19.78/5.24 | Applying alpha-rule on (146) yields:
% 19.78/5.24 | (132) all_83_6_85 = 0
% 19.78/5.24 | (148) has_immunity(all_0_8_8, all_0_7_7) = 0
% 19.78/5.24 |
% 19.78/5.24 | Instantiating formula (65) with all_0_7_7, all_0_8_8 and discharging atoms has_immunity(all_0_8_8, all_0_7_7) = 0, yields:
% 19.78/5.24 | (134) ? [v0] : ((v0 = 0 & has_endowment(all_0_8_8) = 0) | ( ~ (v0 = 0) & organization(all_0_8_8) = v0))
% 19.78/5.24 |
% 19.78/5.24 | Instantiating (134) with all_250_0_148 yields:
% 19.78/5.24 | (150) (all_250_0_148 = 0 & has_endowment(all_0_8_8) = 0) | ( ~ (all_250_0_148 = 0) & organization(all_0_8_8) = all_250_0_148)
% 19.78/5.24 |
% 19.78/5.24 +-Applying beta-rule and splitting (150), into two cases.
% 19.78/5.24 |-Branch one:
% 19.78/5.24 | (151) all_250_0_148 = 0 & has_endowment(all_0_8_8) = 0
% 19.78/5.24 |
% 19.78/5.24 | Applying alpha-rule on (151) yields:
% 19.78/5.24 | (152) all_250_0_148 = 0
% 19.78/5.24 | (138) has_endowment(all_0_8_8) = 0
% 19.78/5.24 |
% 19.78/5.24 | Instantiating formula (59) with all_0_8_8, 0, all_0_5_5 and discharging atoms has_endowment(all_0_8_8) = all_0_5_5, has_endowment(all_0_8_8) = 0, yields:
% 19.78/5.24 | (139) all_0_5_5 = 0
% 19.78/5.24 |
% 19.78/5.24 | Equations (139) can reduce 2 to:
% 19.78/5.24 | (94) $false
% 19.78/5.24 |
% 19.78/5.24 |-The branch is then unsatisfiable
% 19.78/5.24 |-Branch two:
% 19.78/5.24 | (156) ~ (all_250_0_148 = 0) & organization(all_0_8_8) = all_250_0_148
% 19.78/5.24 |
% 19.78/5.24 | Applying alpha-rule on (156) yields:
% 19.78/5.24 | (157) ~ (all_250_0_148 = 0)
% 19.78/5.24 | (158) organization(all_0_8_8) = all_250_0_148
% 19.78/5.24 |
% 19.78/5.24 | Instantiating formula (63) with all_0_8_8, all_250_0_148, 0 and discharging atoms organization(all_0_8_8) = all_250_0_148, organization(all_0_8_8) = 0, yields:
% 19.78/5.25 | (152) all_250_0_148 = 0
% 19.78/5.25 |
% 19.78/5.25 | Equations (152) can reduce 157 to:
% 19.78/5.25 | (94) $false
% 19.78/5.25 |
% 19.78/5.25 |-The branch is then unsatisfiable
% 19.78/5.25 |-Branch two:
% 19.78/5.25 | (161) ~ (all_83_6_85 = 0) & organization(all_0_8_8) = all_83_6_85
% 19.78/5.25 |
% 19.78/5.25 | Applying alpha-rule on (161) yields:
% 19.78/5.25 | (162) ~ (all_83_6_85 = 0)
% 19.78/5.25 | (163) organization(all_0_8_8) = all_83_6_85
% 19.78/5.25 |
% 19.78/5.25 | Instantiating formula (63) with all_0_8_8, all_83_6_85, 0 and discharging atoms organization(all_0_8_8) = all_83_6_85, organization(all_0_8_8) = 0, yields:
% 19.78/5.25 | (132) all_83_6_85 = 0
% 19.78/5.25 |
% 19.78/5.25 | Equations (132) can reduce 162 to:
% 19.78/5.25 | (94) $false
% 19.78/5.25 |
% 19.78/5.25 |-The branch is then unsatisfiable
% 19.78/5.25 |-Branch two:
% 19.78/5.25 | (166) ( ~ (all_61_1_65 = all_61_2_66) | (all_83_1_80 = all_83_2_81 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_83_2_81 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_83_2_81) | ( ~ (all_83_5_84 = all_83_6_85) & capability(all_0_8_8, all_0_6_6) = all_83_6_85 & capability(all_0_8_8, all_0_7_7) = all_83_5_84)) & ((all_83_0_79 = 0 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_83_2_81 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_83_1_80 & smaller(all_83_2_81, all_83_1_80) = 0) | ( ~ (all_83_0_79 = 0) & capability(all_0_8_8, all_0_6_6) = all_83_6_85 & capability(all_0_8_8, all_0_7_7) = all_83_5_84 & greater_or_equal(all_83_6_85, all_83_5_84) = all_83_0_79 & (( ~ (all_83_3_82 = 0) & greater_or_equal(all_61_2_66, all_61_1_65) = all_83_3_82) | ( ~ (all_83_4_83 = 0) & greater(all_83_6_85, all_83_5_84) = all_83_4_83))))
% 19.78/5.25 |
% 19.78/5.25 | Applying alpha-rule on (166) yields:
% 19.78/5.25 | (167) ~ (all_61_1_65 = all_61_2_66) | (all_83_1_80 = all_83_2_81 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_83_2_81 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_83_2_81) | ( ~ (all_83_5_84 = all_83_6_85) & capability(all_0_8_8, all_0_6_6) = all_83_6_85 & capability(all_0_8_8, all_0_7_7) = all_83_5_84)
% 19.78/5.25 | (168) (all_83_0_79 = 0 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_83_2_81 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_83_1_80 & smaller(all_83_2_81, all_83_1_80) = 0) | ( ~ (all_83_0_79 = 0) & capability(all_0_8_8, all_0_6_6) = all_83_6_85 & capability(all_0_8_8, all_0_7_7) = all_83_5_84 & greater_or_equal(all_83_6_85, all_83_5_84) = all_83_0_79 & (( ~ (all_83_3_82 = 0) & greater_or_equal(all_61_2_66, all_61_1_65) = all_83_3_82) | ( ~ (all_83_4_83 = 0) & greater(all_83_6_85, all_83_5_84) = all_83_4_83)))
% 19.78/5.25 |
% 19.78/5.25 +-Applying beta-rule and splitting (168), into two cases.
% 19.78/5.25 |-Branch one:
% 19.78/5.25 | (169) all_83_0_79 = 0 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_83_2_81 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_83_1_80 & smaller(all_83_2_81, all_83_1_80) = 0
% 19.78/5.25 |
% 19.78/5.25 | Applying alpha-rule on (169) yields:
% 19.78/5.25 | (170) all_83_0_79 = 0
% 19.78/5.25 | (171) hazard_of_mortality(all_0_8_8, all_0_6_6) = all_83_2_81
% 19.78/5.25 | (172) hazard_of_mortality(all_0_8_8, all_0_7_7) = all_83_1_80
% 19.78/5.25 | (173) smaller(all_83_2_81, all_83_1_80) = 0
% 19.78/5.25 |
% 19.78/5.25 | Instantiating formula (77) with all_0_8_8, all_0_6_6, all_83_2_81, all_0_2_2 and discharging atoms hazard_of_mortality(all_0_8_8, all_0_6_6) = all_83_2_81, hazard_of_mortality(all_0_8_8, all_0_6_6) = all_0_2_2, yields:
% 19.78/5.25 | (174) all_83_2_81 = all_0_2_2
% 19.78/5.25 |
% 19.78/5.25 | Instantiating formula (77) with all_0_8_8, all_0_7_7, all_83_1_80, all_0_1_1 and discharging atoms hazard_of_mortality(all_0_8_8, all_0_7_7) = all_83_1_80, hazard_of_mortality(all_0_8_8, all_0_7_7) = all_0_1_1, yields:
% 19.78/5.25 | (175) all_83_1_80 = all_0_1_1
% 19.78/5.25 |
% 19.78/5.25 | From (174)(175) and (173) follows:
% 19.78/5.25 | (176) smaller(all_0_2_2, all_0_1_1) = 0
% 19.78/5.25 |
% 19.78/5.25 | Instantiating formula (50) with all_0_2_2, all_0_1_1, 0, all_0_0_0 and discharging atoms smaller(all_0_2_2, all_0_1_1) = all_0_0_0, smaller(all_0_2_2, all_0_1_1) = 0, yields:
% 19.78/5.25 | (93) all_0_0_0 = 0
% 19.78/5.25 |
% 19.78/5.25 | Equations (93) can reduce 68 to:
% 19.78/5.25 | (94) $false
% 19.78/5.25 |
% 19.78/5.25 |-The branch is then unsatisfiable
% 19.78/5.25 |-Branch two:
% 19.78/5.25 | (179) ~ (all_83_0_79 = 0) & capability(all_0_8_8, all_0_6_6) = all_83_6_85 & capability(all_0_8_8, all_0_7_7) = all_83_5_84 & greater_or_equal(all_83_6_85, all_83_5_84) = all_83_0_79 & (( ~ (all_83_3_82 = 0) & greater_or_equal(all_61_2_66, all_61_1_65) = all_83_3_82) | ( ~ (all_83_4_83 = 0) & greater(all_83_6_85, all_83_5_84) = all_83_4_83))
% 19.78/5.25 |
% 19.78/5.25 | Applying alpha-rule on (179) yields:
% 19.78/5.25 | (180) ( ~ (all_83_3_82 = 0) & greater_or_equal(all_61_2_66, all_61_1_65) = all_83_3_82) | ( ~ (all_83_4_83 = 0) & greater(all_83_6_85, all_83_5_84) = all_83_4_83)
% 19.78/5.25 | (181) capability(all_0_8_8, all_0_6_6) = all_83_6_85
% 19.78/5.25 | (182) capability(all_0_8_8, all_0_7_7) = all_83_5_84
% 19.78/5.25 | (183) greater_or_equal(all_83_6_85, all_83_5_84) = all_83_0_79
% 19.78/5.25 | (184) ~ (all_83_0_79 = 0)
% 19.78/5.25 |
% 19.78/5.25 +-Applying beta-rule and splitting (180), into two cases.
% 19.78/5.25 |-Branch one:
% 19.78/5.25 | (185) ~ (all_83_3_82 = 0) & greater_or_equal(all_61_2_66, all_61_1_65) = all_83_3_82
% 19.78/5.25 |
% 19.78/5.25 | Applying alpha-rule on (185) yields:
% 19.78/5.25 | (186) ~ (all_83_3_82 = 0)
% 19.78/5.25 | (187) greater_or_equal(all_61_2_66, all_61_1_65) = all_83_3_82
% 19.78/5.25 |
% 19.78/5.25 | Instantiating formula (74) with all_61_2_66, all_61_1_65, all_83_3_82, 0 and discharging atoms greater_or_equal(all_61_2_66, all_61_1_65) = all_83_3_82, greater_or_equal(all_61_2_66, all_61_1_65) = 0, yields:
% 19.78/5.25 | (188) all_83_3_82 = 0
% 19.78/5.25 |
% 19.78/5.25 | Equations (188) can reduce 186 to:
% 19.78/5.25 | (94) $false
% 19.78/5.25 |
% 19.78/5.25 |-The branch is then unsatisfiable
% 19.78/5.25 |-Branch two:
% 19.78/5.25 | (190) ~ (all_83_4_83 = 0) & greater(all_83_6_85, all_83_5_84) = all_83_4_83
% 19.78/5.25 |
% 19.78/5.25 | Applying alpha-rule on (190) yields:
% 19.78/5.25 | (191) ~ (all_83_4_83 = 0)
% 19.78/5.25 | (192) greater(all_83_6_85, all_83_5_84) = all_83_4_83
% 19.78/5.25 |
% 19.78/5.25 +-Applying beta-rule and splitting (123), into two cases.
% 19.78/5.25 |-Branch one:
% 19.78/5.25 | (193) (all_105_5_104 = 0 & has_immunity(all_0_8_8, all_0_6_6) = 0) | (all_105_5_104 = 0 & has_immunity(all_0_8_8, all_0_7_7) = 0) | ( ~ (all_105_5_104 = 0) & organization(all_0_8_8) = all_105_5_104)
% 19.78/5.25 |
% 19.78/5.25 +-Applying beta-rule and splitting (193), into two cases.
% 19.78/5.25 |-Branch one:
% 19.78/5.25 | (194) (all_105_5_104 = 0 & has_immunity(all_0_8_8, all_0_6_6) = 0) | (all_105_5_104 = 0 & has_immunity(all_0_8_8, all_0_7_7) = 0)
% 19.78/5.25 |
% 19.78/5.25 +-Applying beta-rule and splitting (194), into two cases.
% 19.78/5.25 |-Branch one:
% 19.78/5.25 | (195) all_105_5_104 = 0 & has_immunity(all_0_8_8, all_0_6_6) = 0
% 19.78/5.25 |
% 19.78/5.25 | Applying alpha-rule on (195) yields:
% 19.78/5.25 | (196) all_105_5_104 = 0
% 19.78/5.25 | (133) has_immunity(all_0_8_8, all_0_6_6) = 0
% 19.78/5.25 |
% 19.78/5.25 | Instantiating formula (65) with all_0_6_6, all_0_8_8 and discharging atoms has_immunity(all_0_8_8, all_0_6_6) = 0, yields:
% 19.78/5.25 | (134) ? [v0] : ((v0 = 0 & has_endowment(all_0_8_8) = 0) | ( ~ (v0 = 0) & organization(all_0_8_8) = v0))
% 19.78/5.25 |
% 19.78/5.25 | Instantiating (134) with all_270_0_231 yields:
% 19.78/5.25 | (199) (all_270_0_231 = 0 & has_endowment(all_0_8_8) = 0) | ( ~ (all_270_0_231 = 0) & organization(all_0_8_8) = all_270_0_231)
% 19.78/5.25 |
% 19.78/5.25 +-Applying beta-rule and splitting (199), into two cases.
% 19.78/5.25 |-Branch one:
% 19.78/5.25 | (200) all_270_0_231 = 0 & has_endowment(all_0_8_8) = 0
% 19.78/5.25 |
% 19.78/5.25 | Applying alpha-rule on (200) yields:
% 19.78/5.25 | (201) all_270_0_231 = 0
% 19.78/5.25 | (138) has_endowment(all_0_8_8) = 0
% 19.78/5.25 |
% 19.78/5.25 | Instantiating formula (59) with all_0_8_8, 0, all_0_5_5 and discharging atoms has_endowment(all_0_8_8) = all_0_5_5, has_endowment(all_0_8_8) = 0, yields:
% 19.78/5.25 | (139) all_0_5_5 = 0
% 19.78/5.25 |
% 19.78/5.25 | Equations (139) can reduce 2 to:
% 19.78/5.25 | (94) $false
% 19.78/5.25 |
% 19.78/5.25 |-The branch is then unsatisfiable
% 19.78/5.25 |-Branch two:
% 19.78/5.25 | (205) ~ (all_270_0_231 = 0) & organization(all_0_8_8) = all_270_0_231
% 19.78/5.25 |
% 19.78/5.25 | Applying alpha-rule on (205) yields:
% 19.78/5.25 | (206) ~ (all_270_0_231 = 0)
% 19.78/5.25 | (207) organization(all_0_8_8) = all_270_0_231
% 19.78/5.25 |
% 19.78/5.26 | Instantiating formula (63) with all_0_8_8, all_270_0_231, 0 and discharging atoms organization(all_0_8_8) = all_270_0_231, organization(all_0_8_8) = 0, yields:
% 19.78/5.26 | (201) all_270_0_231 = 0
% 19.78/5.26 |
% 19.78/5.26 | Equations (201) can reduce 206 to:
% 19.78/5.26 | (94) $false
% 19.78/5.26 |
% 19.78/5.26 |-The branch is then unsatisfiable
% 19.78/5.26 |-Branch two:
% 19.78/5.26 | (210) all_105_5_104 = 0 & has_immunity(all_0_8_8, all_0_7_7) = 0
% 19.78/5.26 |
% 19.78/5.26 | Applying alpha-rule on (210) yields:
% 19.78/5.26 | (196) all_105_5_104 = 0
% 19.78/5.26 | (148) has_immunity(all_0_8_8, all_0_7_7) = 0
% 19.78/5.26 |
% 19.78/5.26 | Instantiating formula (65) with all_0_7_7, all_0_8_8 and discharging atoms has_immunity(all_0_8_8, all_0_7_7) = 0, yields:
% 19.78/5.26 | (134) ? [v0] : ((v0 = 0 & has_endowment(all_0_8_8) = 0) | ( ~ (v0 = 0) & organization(all_0_8_8) = v0))
% 19.78/5.26 |
% 19.78/5.26 | Instantiating (134) with all_275_0_259 yields:
% 19.78/5.26 | (214) (all_275_0_259 = 0 & has_endowment(all_0_8_8) = 0) | ( ~ (all_275_0_259 = 0) & organization(all_0_8_8) = all_275_0_259)
% 19.78/5.26 |
% 19.78/5.26 +-Applying beta-rule and splitting (214), into two cases.
% 19.78/5.26 |-Branch one:
% 19.78/5.26 | (215) all_275_0_259 = 0 & has_endowment(all_0_8_8) = 0
% 19.78/5.26 |
% 19.78/5.26 | Applying alpha-rule on (215) yields:
% 19.78/5.26 | (216) all_275_0_259 = 0
% 19.78/5.26 | (138) has_endowment(all_0_8_8) = 0
% 19.78/5.26 |
% 19.78/5.26 | Instantiating formula (59) with all_0_8_8, 0, all_0_5_5 and discharging atoms has_endowment(all_0_8_8) = all_0_5_5, has_endowment(all_0_8_8) = 0, yields:
% 19.78/5.26 | (139) all_0_5_5 = 0
% 19.78/5.26 |
% 19.78/5.26 | Equations (139) can reduce 2 to:
% 19.78/5.26 | (94) $false
% 19.78/5.26 |
% 19.78/5.26 |-The branch is then unsatisfiable
% 19.78/5.26 |-Branch two:
% 19.78/5.26 | (220) ~ (all_275_0_259 = 0) & organization(all_0_8_8) = all_275_0_259
% 19.78/5.26 |
% 19.78/5.26 | Applying alpha-rule on (220) yields:
% 19.78/5.26 | (221) ~ (all_275_0_259 = 0)
% 19.78/5.26 | (222) organization(all_0_8_8) = all_275_0_259
% 19.78/5.26 |
% 19.78/5.26 | Instantiating formula (63) with all_0_8_8, all_275_0_259, 0 and discharging atoms organization(all_0_8_8) = all_275_0_259, organization(all_0_8_8) = 0, yields:
% 19.78/5.26 | (216) all_275_0_259 = 0
% 19.78/5.26 |
% 19.78/5.26 | Equations (216) can reduce 221 to:
% 19.78/5.26 | (94) $false
% 19.78/5.26 |
% 19.78/5.26 |-The branch is then unsatisfiable
% 19.78/5.26 |-Branch two:
% 19.78/5.26 | (225) ~ (all_105_5_104 = 0) & organization(all_0_8_8) = all_105_5_104
% 19.78/5.26 |
% 19.78/5.26 | Applying alpha-rule on (225) yields:
% 19.78/5.26 | (226) ~ (all_105_5_104 = 0)
% 19.78/5.26 | (227) organization(all_0_8_8) = all_105_5_104
% 19.78/5.26 |
% 19.78/5.26 | Instantiating formula (63) with all_0_8_8, all_105_5_104, 0 and discharging atoms organization(all_0_8_8) = all_105_5_104, organization(all_0_8_8) = 0, yields:
% 19.78/5.26 | (196) all_105_5_104 = 0
% 19.78/5.26 |
% 19.78/5.26 | Equations (196) can reduce 226 to:
% 19.78/5.26 | (94) $false
% 19.78/5.26 |
% 19.78/5.26 |-The branch is then unsatisfiable
% 19.78/5.26 |-Branch two:
% 19.78/5.26 | (230) ( ~ (all_61_1_65 = all_61_2_66) | (all_105_1_100 = all_105_2_101 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_105_2_101 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_105_2_101) | ( ~ (all_105_4_103 = all_105_5_104) & capability(all_0_8_8, all_0_6_6) = all_105_5_104 & capability(all_0_8_8, all_0_7_7) = all_105_4_103)) & ((all_105_0_99 = 0 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_105_2_101 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_105_1_100 & smaller(all_105_2_101, all_105_1_100) = 0) | ( ~ (all_105_3_102 = 0) & capability(all_0_8_8, all_0_6_6) = all_105_5_104 & capability(all_0_8_8, all_0_7_7) = all_105_4_103 & greater(all_105_5_104, all_105_4_103) = all_105_3_102 & (( ~ (all_105_0_99 = 0) & greater(all_61_2_66, all_61_1_65) = all_105_0_99) | ( ~ (all_105_0_99 = 0) & greater_or_equal(all_105_5_104, all_105_4_103) = all_105_0_99))))
% 19.78/5.26 |
% 19.78/5.26 | Applying alpha-rule on (230) yields:
% 19.78/5.26 | (231) ~ (all_61_1_65 = all_61_2_66) | (all_105_1_100 = all_105_2_101 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_105_2_101 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_105_2_101) | ( ~ (all_105_4_103 = all_105_5_104) & capability(all_0_8_8, all_0_6_6) = all_105_5_104 & capability(all_0_8_8, all_0_7_7) = all_105_4_103)
% 19.78/5.26 | (232) (all_105_0_99 = 0 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_105_2_101 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_105_1_100 & smaller(all_105_2_101, all_105_1_100) = 0) | ( ~ (all_105_3_102 = 0) & capability(all_0_8_8, all_0_6_6) = all_105_5_104 & capability(all_0_8_8, all_0_7_7) = all_105_4_103 & greater(all_105_5_104, all_105_4_103) = all_105_3_102 & (( ~ (all_105_0_99 = 0) & greater(all_61_2_66, all_61_1_65) = all_105_0_99) | ( ~ (all_105_0_99 = 0) & greater_or_equal(all_105_5_104, all_105_4_103) = all_105_0_99)))
% 19.78/5.26 |
% 19.78/5.26 | Instantiating formula (43) with all_83_4_83, all_83_5_84, all_83_6_85, all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms capability(all_0_8_8, all_0_6_6) = all_83_6_85, capability(all_0_8_8, all_0_7_7) = all_83_5_84, greater(all_83_6_85, all_83_5_84) = all_83_4_83, yields:
% 19.78/5.26 | (233) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v0 = 0) & organization(all_0_8_8) = v0) | ((all_83_4_83 = 0 | ( ~ (v6 = 0) & internal_friction(all_0_8_8, all_0_6_6) = v3 & internal_friction(all_0_8_8, all_0_7_7) = v4 & smaller_or_equal(v3, v4) = v6) | ( ~ (v2 = 0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = v0 & stock_of_knowledge(all_0_8_8, all_0_7_7) = v1 & greater(v0, v1) = v2)) & (all_83_5_84 = all_83_6_85 | ( ~ (v4 = v3) & internal_friction(all_0_8_8, all_0_6_6) = v3 & internal_friction(all_0_8_8, all_0_7_7) = v4) | ( ~ (v1 = v0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = v0 & stock_of_knowledge(all_0_8_8, all_0_7_7) = v1)) & ((v5 = 0 & smaller(all_83_6_85, all_83_5_84) = 0) | ( ~ (v5 = 0) & internal_friction(all_0_8_8, all_0_6_6) = v3 & internal_friction(all_0_8_8, all_0_7_7) = v4 & greater(v3, v4) = v5) | ( ~ (v5 = 0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = v0 & stock_of_knowledge(all_0_8_8, all_0_7_7) = v1 & smaller_or_equal(v0, v1) = v5))))
% 19.78/5.26 |
% 19.78/5.26 | Instantiating formula (56) with all_83_4_83, all_83_6_85, all_83_5_84 and discharging atoms greater(all_83_6_85, all_83_5_84) = all_83_4_83, yields:
% 19.78/5.26 | (234) all_83_4_83 = 0 | ? [v0] : ( ~ (v0 = 0) & smaller(all_83_5_84, all_83_6_85) = v0)
% 19.78/5.26 |
% 19.78/5.26 | Instantiating (233) with all_264_0_336, all_264_1_337, all_264_2_338, all_264_3_339, all_264_4_340, all_264_5_341, all_264_6_342 yields:
% 19.78/5.26 | (235) ( ~ (all_264_6_342 = 0) & organization(all_0_8_8) = all_264_6_342) | ((all_83_4_83 = 0 | ( ~ (all_264_0_336 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338 & smaller_or_equal(all_264_3_339, all_264_2_338) = all_264_0_336) | ( ~ (all_264_4_340 = 0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341 & greater(all_264_6_342, all_264_5_341) = all_264_4_340)) & (all_83_5_84 = all_83_6_85 | ( ~ (all_264_2_338 = all_264_3_339) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338) | ( ~ (all_264_5_341 = all_264_6_342) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341)) & ((all_264_1_337 = 0 & smaller(all_83_6_85, all_83_5_84) = 0) | ( ~ (all_264_1_337 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338 & greater(all_264_3_339, all_264_2_338) = all_264_1_337) | ( ~ (all_264_1_337 = 0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341 & smaller_or_equal(all_264_6_342, all_264_5_341) = all_264_1_337)))
% 19.78/5.26 |
% 19.78/5.26 +-Applying beta-rule and splitting (235), into two cases.
% 19.78/5.26 |-Branch one:
% 19.78/5.26 | (236) ~ (all_264_6_342 = 0) & organization(all_0_8_8) = all_264_6_342
% 19.78/5.26 |
% 19.78/5.26 | Applying alpha-rule on (236) yields:
% 19.78/5.26 | (237) ~ (all_264_6_342 = 0)
% 19.78/5.26 | (238) organization(all_0_8_8) = all_264_6_342
% 19.78/5.26 |
% 19.78/5.26 | Instantiating formula (63) with all_0_8_8, all_264_6_342, 0 and discharging atoms organization(all_0_8_8) = all_264_6_342, organization(all_0_8_8) = 0, yields:
% 19.78/5.26 | (239) all_264_6_342 = 0
% 19.78/5.26 |
% 19.78/5.26 | Equations (239) can reduce 237 to:
% 19.78/5.26 | (94) $false
% 19.78/5.26 |
% 19.78/5.26 |-The branch is then unsatisfiable
% 19.78/5.26 |-Branch two:
% 19.78/5.26 | (241) (all_83_4_83 = 0 | ( ~ (all_264_0_336 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338 & smaller_or_equal(all_264_3_339, all_264_2_338) = all_264_0_336) | ( ~ (all_264_4_340 = 0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341 & greater(all_264_6_342, all_264_5_341) = all_264_4_340)) & (all_83_5_84 = all_83_6_85 | ( ~ (all_264_2_338 = all_264_3_339) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338) | ( ~ (all_264_5_341 = all_264_6_342) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341)) & ((all_264_1_337 = 0 & smaller(all_83_6_85, all_83_5_84) = 0) | ( ~ (all_264_1_337 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338 & greater(all_264_3_339, all_264_2_338) = all_264_1_337) | ( ~ (all_264_1_337 = 0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341 & smaller_or_equal(all_264_6_342, all_264_5_341) = all_264_1_337))
% 19.78/5.26 |
% 19.78/5.26 | Applying alpha-rule on (241) yields:
% 19.78/5.26 | (242) all_83_4_83 = 0 | ( ~ (all_264_0_336 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338 & smaller_or_equal(all_264_3_339, all_264_2_338) = all_264_0_336) | ( ~ (all_264_4_340 = 0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341 & greater(all_264_6_342, all_264_5_341) = all_264_4_340)
% 19.78/5.26 | (243) all_83_5_84 = all_83_6_85 | ( ~ (all_264_2_338 = all_264_3_339) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338) | ( ~ (all_264_5_341 = all_264_6_342) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341)
% 19.78/5.26 | (244) (all_264_1_337 = 0 & smaller(all_83_6_85, all_83_5_84) = 0) | ( ~ (all_264_1_337 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338 & greater(all_264_3_339, all_264_2_338) = all_264_1_337) | ( ~ (all_264_1_337 = 0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341 & smaller_or_equal(all_264_6_342, all_264_5_341) = all_264_1_337)
% 19.78/5.26 |
% 19.78/5.26 +-Applying beta-rule and splitting (242), into two cases.
% 19.78/5.26 |-Branch one:
% 19.78/5.26 | (245) all_83_4_83 = 0
% 19.78/5.26 |
% 19.78/5.26 | Equations (245) can reduce 191 to:
% 19.78/5.26 | (94) $false
% 19.78/5.26 |
% 19.78/5.26 |-The branch is then unsatisfiable
% 19.78/5.26 |-Branch two:
% 19.78/5.26 | (191) ~ (all_83_4_83 = 0)
% 19.78/5.26 | (248) ( ~ (all_264_0_336 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338 & smaller_or_equal(all_264_3_339, all_264_2_338) = all_264_0_336) | ( ~ (all_264_4_340 = 0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341 & greater(all_264_6_342, all_264_5_341) = all_264_4_340)
% 19.78/5.26 |
% 19.78/5.26 +-Applying beta-rule and splitting (232), into two cases.
% 19.78/5.26 |-Branch one:
% 19.78/5.26 | (249) all_105_0_99 = 0 & hazard_of_mortality(all_0_8_8, all_0_6_6) = all_105_2_101 & hazard_of_mortality(all_0_8_8, all_0_7_7) = all_105_1_100 & smaller(all_105_2_101, all_105_1_100) = 0
% 19.78/5.26 |
% 19.78/5.26 | Applying alpha-rule on (249) yields:
% 19.78/5.26 | (250) all_105_0_99 = 0
% 19.78/5.26 | (251) hazard_of_mortality(all_0_8_8, all_0_6_6) = all_105_2_101
% 19.78/5.26 | (252) hazard_of_mortality(all_0_8_8, all_0_7_7) = all_105_1_100
% 19.78/5.26 | (253) smaller(all_105_2_101, all_105_1_100) = 0
% 19.78/5.26 |
% 19.78/5.26 | Instantiating formula (77) with all_0_8_8, all_0_6_6, all_105_2_101, all_0_2_2 and discharging atoms hazard_of_mortality(all_0_8_8, all_0_6_6) = all_105_2_101, hazard_of_mortality(all_0_8_8, all_0_6_6) = all_0_2_2, yields:
% 19.78/5.26 | (254) all_105_2_101 = all_0_2_2
% 19.78/5.26 |
% 19.78/5.26 | Instantiating formula (77) with all_0_8_8, all_0_7_7, all_105_1_100, all_0_1_1 and discharging atoms hazard_of_mortality(all_0_8_8, all_0_7_7) = all_105_1_100, hazard_of_mortality(all_0_8_8, all_0_7_7) = all_0_1_1, yields:
% 19.78/5.26 | (255) all_105_1_100 = all_0_1_1
% 19.78/5.26 |
% 19.78/5.26 | From (254)(255) and (253) follows:
% 19.78/5.26 | (176) smaller(all_0_2_2, all_0_1_1) = 0
% 19.78/5.26 |
% 19.78/5.26 | Instantiating formula (50) with all_0_2_2, all_0_1_1, 0, all_0_0_0 and discharging atoms smaller(all_0_2_2, all_0_1_1) = all_0_0_0, smaller(all_0_2_2, all_0_1_1) = 0, yields:
% 19.78/5.26 | (93) all_0_0_0 = 0
% 19.78/5.27 |
% 19.78/5.27 | Equations (93) can reduce 68 to:
% 19.78/5.27 | (94) $false
% 19.78/5.27 |
% 19.78/5.27 |-The branch is then unsatisfiable
% 19.78/5.27 |-Branch two:
% 19.78/5.27 | (259) ~ (all_105_3_102 = 0) & capability(all_0_8_8, all_0_6_6) = all_105_5_104 & capability(all_0_8_8, all_0_7_7) = all_105_4_103 & greater(all_105_5_104, all_105_4_103) = all_105_3_102 & (( ~ (all_105_0_99 = 0) & greater(all_61_2_66, all_61_1_65) = all_105_0_99) | ( ~ (all_105_0_99 = 0) & greater_or_equal(all_105_5_104, all_105_4_103) = all_105_0_99))
% 19.78/5.27 |
% 19.78/5.27 | Applying alpha-rule on (259) yields:
% 19.78/5.27 | (260) capability(all_0_8_8, all_0_6_6) = all_105_5_104
% 19.78/5.27 | (261) greater(all_105_5_104, all_105_4_103) = all_105_3_102
% 19.78/5.27 | (262) capability(all_0_8_8, all_0_7_7) = all_105_4_103
% 19.78/5.27 | (263) ( ~ (all_105_0_99 = 0) & greater(all_61_2_66, all_61_1_65) = all_105_0_99) | ( ~ (all_105_0_99 = 0) & greater_or_equal(all_105_5_104, all_105_4_103) = all_105_0_99)
% 19.78/5.27 | (264) ~ (all_105_3_102 = 0)
% 19.78/5.27 |
% 19.78/5.27 +-Applying beta-rule and splitting (234), into two cases.
% 19.78/5.27 |-Branch one:
% 19.78/5.27 | (245) all_83_4_83 = 0
% 19.78/5.27 |
% 19.78/5.27 | Equations (245) can reduce 191 to:
% 19.78/5.27 | (94) $false
% 19.78/5.27 |
% 19.78/5.27 |-The branch is then unsatisfiable
% 19.78/5.27 |-Branch two:
% 19.78/5.27 | (191) ~ (all_83_4_83 = 0)
% 19.78/5.27 | (268) ? [v0] : ( ~ (v0 = 0) & smaller(all_83_5_84, all_83_6_85) = v0)
% 19.78/5.27 |
% 19.78/5.27 | Instantiating (268) with all_287_0_350 yields:
% 19.78/5.27 | (269) ~ (all_287_0_350 = 0) & smaller(all_83_5_84, all_83_6_85) = all_287_0_350
% 19.78/5.27 |
% 19.78/5.27 | Applying alpha-rule on (269) yields:
% 19.78/5.27 | (270) ~ (all_287_0_350 = 0)
% 19.78/5.27 | (271) smaller(all_83_5_84, all_83_6_85) = all_287_0_350
% 19.78/5.27 |
% 19.78/5.27 +-Applying beta-rule and splitting (248), into two cases.
% 19.78/5.27 |-Branch one:
% 19.78/5.27 | (272) ~ (all_264_0_336 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339 & internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338 & smaller_or_equal(all_264_3_339, all_264_2_338) = all_264_0_336
% 19.78/5.27 |
% 19.78/5.27 | Applying alpha-rule on (272) yields:
% 19.78/5.27 | (273) ~ (all_264_0_336 = 0)
% 19.78/5.27 | (274) internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339
% 19.78/5.27 | (275) internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338
% 19.78/5.27 | (276) smaller_or_equal(all_264_3_339, all_264_2_338) = all_264_0_336
% 19.78/5.27 |
% 19.78/5.27 | Instantiating formula (46) with all_0_8_8, all_0_6_6, all_105_5_104, all_83_6_85 and discharging atoms capability(all_0_8_8, all_0_6_6) = all_105_5_104, capability(all_0_8_8, all_0_6_6) = all_83_6_85, yields:
% 19.78/5.27 | (277) all_105_5_104 = all_83_6_85
% 19.78/5.27 |
% 19.78/5.27 | Instantiating formula (46) with all_0_8_8, all_0_7_7, all_105_4_103, all_83_5_84 and discharging atoms capability(all_0_8_8, all_0_7_7) = all_105_4_103, capability(all_0_8_8, all_0_7_7) = all_83_5_84, yields:
% 19.78/5.27 | (278) all_105_4_103 = all_83_5_84
% 19.78/5.27 |
% 19.78/5.27 | From (277) and (260) follows:
% 19.78/5.27 | (181) capability(all_0_8_8, all_0_6_6) = all_83_6_85
% 19.78/5.27 |
% 19.78/5.27 | From (278) and (262) follows:
% 19.78/5.27 | (182) capability(all_0_8_8, all_0_7_7) = all_83_5_84
% 19.78/5.27 |
% 19.78/5.27 +-Applying beta-rule and splitting (120), into two cases.
% 19.78/5.27 |-Branch one:
% 19.78/5.27 | (281) ~ (all_87_6_96 = 0) & organization(all_0_8_8) = all_87_6_96
% 19.78/5.27 |
% 19.78/5.27 | Applying alpha-rule on (281) yields:
% 19.78/5.27 | (282) ~ (all_87_6_96 = 0)
% 19.78/5.27 | (283) organization(all_0_8_8) = all_87_6_96
% 19.78/5.27 |
% 19.78/5.27 | Instantiating formula (63) with all_0_8_8, all_87_6_96, 0 and discharging atoms organization(all_0_8_8) = all_87_6_96, organization(all_0_8_8) = 0, yields:
% 19.78/5.27 | (284) all_87_6_96 = 0
% 19.78/5.27 |
% 19.78/5.27 | Equations (284) can reduce 282 to:
% 19.78/5.27 | (94) $false
% 19.78/5.27 |
% 19.78/5.27 |-The branch is then unsatisfiable
% 19.78/5.27 |-Branch two:
% 19.78/5.27 | (286) ( ~ (all_65_0_75 = 0) | (all_87_0_90 = 0 & capability(all_0_8_8, all_0_6_6) = all_87_2_92 & capability(all_0_8_8, all_0_7_7) = all_87_3_93 & greater(all_87_3_93, all_87_2_92) = 0) | ( ~ (all_87_4_94 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96 & smaller_or_equal(all_87_6_96, all_87_5_95) = all_87_4_94)) & ( ~ (all_37_1_50 = all_37_2_51) | (all_87_2_92 = all_87_3_93 & capability(all_0_8_8, all_0_6_6) = all_87_3_93 & capability(all_0_8_8, all_0_7_7) = all_87_3_93) | ( ~ (all_87_5_95 = all_87_6_96) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96)) & ((all_87_1_91 = 0 & capability(all_0_8_8, all_0_6_6) = all_87_2_92 & capability(all_0_8_8, all_0_7_7) = all_87_3_93 & smaller(all_87_3_93, all_87_2_92) = 0) | ( ~ (all_87_1_91 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96 & greater(all_87_6_96, all_87_5_95) = all_87_1_91) | ( ~ (all_87_1_91 = 0) & smaller_or_equal(all_37_1_50, all_37_2_51) = all_87_1_91))
% 19.78/5.27 |
% 19.78/5.27 | Applying alpha-rule on (286) yields:
% 19.78/5.27 | (287) ~ (all_65_0_75 = 0) | (all_87_0_90 = 0 & capability(all_0_8_8, all_0_6_6) = all_87_2_92 & capability(all_0_8_8, all_0_7_7) = all_87_3_93 & greater(all_87_3_93, all_87_2_92) = 0) | ( ~ (all_87_4_94 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96 & smaller_or_equal(all_87_6_96, all_87_5_95) = all_87_4_94)
% 19.78/5.27 | (288) ~ (all_37_1_50 = all_37_2_51) | (all_87_2_92 = all_87_3_93 & capability(all_0_8_8, all_0_6_6) = all_87_3_93 & capability(all_0_8_8, all_0_7_7) = all_87_3_93) | ( ~ (all_87_5_95 = all_87_6_96) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96)
% 19.78/5.27 | (289) (all_87_1_91 = 0 & capability(all_0_8_8, all_0_6_6) = all_87_2_92 & capability(all_0_8_8, all_0_7_7) = all_87_3_93 & smaller(all_87_3_93, all_87_2_92) = 0) | ( ~ (all_87_1_91 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96 & greater(all_87_6_96, all_87_5_95) = all_87_1_91) | ( ~ (all_87_1_91 = 0) & smaller_or_equal(all_37_1_50, all_37_2_51) = all_87_1_91)
% 19.78/5.27 |
% 19.78/5.27 +-Applying beta-rule and splitting (289), into two cases.
% 19.78/5.27 |-Branch one:
% 19.78/5.27 | (290) (all_87_1_91 = 0 & capability(all_0_8_8, all_0_6_6) = all_87_2_92 & capability(all_0_8_8, all_0_7_7) = all_87_3_93 & smaller(all_87_3_93, all_87_2_92) = 0) | ( ~ (all_87_1_91 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96 & greater(all_87_6_96, all_87_5_95) = all_87_1_91)
% 19.78/5.27 |
% 19.78/5.27 +-Applying beta-rule and splitting (290), into two cases.
% 19.78/5.27 |-Branch one:
% 19.78/5.27 | (291) all_87_1_91 = 0 & capability(all_0_8_8, all_0_6_6) = all_87_2_92 & capability(all_0_8_8, all_0_7_7) = all_87_3_93 & smaller(all_87_3_93, all_87_2_92) = 0
% 19.78/5.27 |
% 19.78/5.27 | Applying alpha-rule on (291) yields:
% 19.78/5.27 | (292) all_87_1_91 = 0
% 19.78/5.27 | (293) capability(all_0_8_8, all_0_6_6) = all_87_2_92
% 19.78/5.27 | (294) capability(all_0_8_8, all_0_7_7) = all_87_3_93
% 19.78/5.27 | (295) smaller(all_87_3_93, all_87_2_92) = 0
% 19.78/5.27 |
% 19.78/5.27 | Instantiating formula (46) with all_0_8_8, all_0_6_6, all_87_2_92, all_83_6_85 and discharging atoms capability(all_0_8_8, all_0_6_6) = all_87_2_92, capability(all_0_8_8, all_0_6_6) = all_83_6_85, yields:
% 19.78/5.27 | (296) all_87_2_92 = all_83_6_85
% 19.78/5.27 |
% 19.78/5.27 | Instantiating formula (46) with all_0_8_8, all_0_7_7, all_87_3_93, all_83_5_84 and discharging atoms capability(all_0_8_8, all_0_7_7) = all_87_3_93, capability(all_0_8_8, all_0_7_7) = all_83_5_84, yields:
% 19.78/5.27 | (297) all_87_3_93 = all_83_5_84
% 19.78/5.27 |
% 19.78/5.27 | From (297)(296) and (295) follows:
% 19.78/5.27 | (298) smaller(all_83_5_84, all_83_6_85) = 0
% 19.78/5.27 |
% 19.78/5.27 | Instantiating formula (50) with all_83_5_84, all_83_6_85, 0, all_287_0_350 and discharging atoms smaller(all_83_5_84, all_83_6_85) = all_287_0_350, smaller(all_83_5_84, all_83_6_85) = 0, yields:
% 19.78/5.27 | (299) all_287_0_350 = 0
% 19.78/5.27 |
% 19.78/5.27 | Equations (299) can reduce 270 to:
% 19.78/5.27 | (94) $false
% 19.78/5.27 |
% 19.78/5.27 |-The branch is then unsatisfiable
% 19.78/5.27 |-Branch two:
% 19.78/5.27 | (301) ~ (all_87_1_91 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95 & internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96 & greater(all_87_6_96, all_87_5_95) = all_87_1_91
% 19.78/5.27 |
% 19.78/5.27 | Applying alpha-rule on (301) yields:
% 19.78/5.27 | (302) ~ (all_87_1_91 = 0)
% 19.78/5.27 | (303) internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95
% 19.78/5.27 | (304) internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96
% 19.78/5.27 | (305) greater(all_87_6_96, all_87_5_95) = all_87_1_91
% 19.78/5.27 |
% 19.78/5.27 +-Applying beta-rule and splitting (124), into two cases.
% 19.78/5.27 |-Branch one:
% 19.78/5.27 | (306) ~ (all_108_7_122 = 0) & organization(all_0_8_8) = all_108_7_122
% 19.78/5.27 |
% 19.78/5.27 | Applying alpha-rule on (306) yields:
% 19.78/5.27 | (307) ~ (all_108_7_122 = 0)
% 19.78/5.27 | (308) organization(all_0_8_8) = all_108_7_122
% 19.78/5.27 |
% 19.78/5.27 | Instantiating formula (63) with all_0_8_8, all_108_7_122, 0 and discharging atoms organization(all_0_8_8) = all_108_7_122, organization(all_0_8_8) = 0, yields:
% 19.78/5.27 | (309) all_108_7_122 = 0
% 19.78/5.27 |
% 19.78/5.27 | Equations (309) can reduce 307 to:
% 19.78/5.27 | (94) $false
% 19.78/5.27 |
% 19.78/5.27 |-The branch is then unsatisfiable
% 19.78/5.27 |-Branch two:
% 19.78/5.27 | (311) ( ~ (all_37_1_50 = all_37_2_51) | (all_108_2_117 = all_108_3_118 & capability(all_0_8_8, all_0_6_6) = all_108_3_118 & capability(all_0_8_8, all_0_7_7) = all_108_3_118) | ( ~ (all_108_5_120 = all_108_6_121) & internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120 & internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121)) & ((all_108_0_115 = 0 & capability(all_0_8_8, all_0_6_6) = all_108_2_117 & capability(all_0_8_8, all_0_7_7) = all_108_3_118 & greater(all_108_3_118, all_108_2_117) = 0) | ( ~ (all_108_4_119 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120 & internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121 & smaller_or_equal(all_108_6_121, all_108_5_120) = all_108_4_119) | ( ~ (all_108_7_122 = 0) & greater(all_37_1_50, all_37_2_51) = all_108_7_122)) & ((all_108_1_116 = 0 & capability(all_0_8_8, all_0_6_6) = all_108_2_117 & capability(all_0_8_8, all_0_7_7) = all_108_3_118 & smaller(all_108_3_118, all_108_2_117) = 0) | ( ~ (all_108_1_116 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120 & internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121 & greater(all_108_6_121, all_108_5_120) = all_108_1_116))
% 19.78/5.27 |
% 19.78/5.27 | Applying alpha-rule on (311) yields:
% 19.78/5.27 | (312) ~ (all_37_1_50 = all_37_2_51) | (all_108_2_117 = all_108_3_118 & capability(all_0_8_8, all_0_6_6) = all_108_3_118 & capability(all_0_8_8, all_0_7_7) = all_108_3_118) | ( ~ (all_108_5_120 = all_108_6_121) & internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120 & internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121)
% 19.78/5.27 | (313) (all_108_0_115 = 0 & capability(all_0_8_8, all_0_6_6) = all_108_2_117 & capability(all_0_8_8, all_0_7_7) = all_108_3_118 & greater(all_108_3_118, all_108_2_117) = 0) | ( ~ (all_108_4_119 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120 & internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121 & smaller_or_equal(all_108_6_121, all_108_5_120) = all_108_4_119) | ( ~ (all_108_7_122 = 0) & greater(all_37_1_50, all_37_2_51) = all_108_7_122)
% 19.78/5.27 | (314) (all_108_1_116 = 0 & capability(all_0_8_8, all_0_6_6) = all_108_2_117 & capability(all_0_8_8, all_0_7_7) = all_108_3_118 & smaller(all_108_3_118, all_108_2_117) = 0) | ( ~ (all_108_1_116 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120 & internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121 & greater(all_108_6_121, all_108_5_120) = all_108_1_116)
% 19.78/5.27 |
% 19.78/5.27 +-Applying beta-rule and splitting (314), into two cases.
% 19.78/5.27 |-Branch one:
% 19.78/5.27 | (315) all_108_1_116 = 0 & capability(all_0_8_8, all_0_6_6) = all_108_2_117 & capability(all_0_8_8, all_0_7_7) = all_108_3_118 & smaller(all_108_3_118, all_108_2_117) = 0
% 19.78/5.27 |
% 19.78/5.27 | Applying alpha-rule on (315) yields:
% 19.78/5.27 | (316) all_108_1_116 = 0
% 19.78/5.27 | (317) capability(all_0_8_8, all_0_6_6) = all_108_2_117
% 19.78/5.27 | (318) capability(all_0_8_8, all_0_7_7) = all_108_3_118
% 19.78/5.27 | (319) smaller(all_108_3_118, all_108_2_117) = 0
% 19.78/5.27 |
% 19.78/5.27 | Instantiating formula (46) with all_0_8_8, all_0_6_6, all_108_2_117, all_83_6_85 and discharging atoms capability(all_0_8_8, all_0_6_6) = all_108_2_117, capability(all_0_8_8, all_0_6_6) = all_83_6_85, yields:
% 19.78/5.27 | (320) all_108_2_117 = all_83_6_85
% 19.78/5.27 |
% 19.78/5.27 | Instantiating formula (46) with all_0_8_8, all_0_7_7, all_108_3_118, all_83_5_84 and discharging atoms capability(all_0_8_8, all_0_7_7) = all_108_3_118, capability(all_0_8_8, all_0_7_7) = all_83_5_84, yields:
% 19.78/5.27 | (321) all_108_3_118 = all_83_5_84
% 19.78/5.27 |
% 19.78/5.27 | From (321)(320) and (319) follows:
% 19.78/5.28 | (298) smaller(all_83_5_84, all_83_6_85) = 0
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (50) with all_83_5_84, all_83_6_85, 0, all_287_0_350 and discharging atoms smaller(all_83_5_84, all_83_6_85) = all_287_0_350, smaller(all_83_5_84, all_83_6_85) = 0, yields:
% 19.78/5.28 | (299) all_287_0_350 = 0
% 19.78/5.28 |
% 19.78/5.28 | Equations (299) can reduce 270 to:
% 19.78/5.28 | (94) $false
% 19.78/5.28 |
% 19.78/5.28 |-The branch is then unsatisfiable
% 19.78/5.28 |-Branch two:
% 19.78/5.28 | (325) ~ (all_108_1_116 = 0) & internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120 & internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121 & greater(all_108_6_121, all_108_5_120) = all_108_1_116
% 19.78/5.28 |
% 19.78/5.28 | Applying alpha-rule on (325) yields:
% 19.78/5.28 | (326) ~ (all_108_1_116 = 0)
% 19.78/5.28 | (327) internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120
% 19.78/5.28 | (328) internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121
% 19.78/5.28 | (329) greater(all_108_6_121, all_108_5_120) = all_108_1_116
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (71) with all_0_8_8, all_0_6_6, all_108_5_120, all_264_3_339 and discharging atoms internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339, internal_friction(all_0_8_8, all_0_6_6) = all_108_5_120, yields:
% 19.78/5.28 | (330) all_264_3_339 = all_108_5_120
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (71) with all_0_8_8, all_0_6_6, all_87_5_95, all_264_3_339 and discharging atoms internal_friction(all_0_8_8, all_0_6_6) = all_264_3_339, internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95, yields:
% 19.78/5.28 | (331) all_264_3_339 = all_87_5_95
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (71) with all_0_8_8, all_0_7_7, all_108_6_121, all_264_2_338 and discharging atoms internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338, internal_friction(all_0_8_8, all_0_7_7) = all_108_6_121, yields:
% 19.78/5.28 | (332) all_264_2_338 = all_108_6_121
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (71) with all_0_8_8, all_0_7_7, all_87_6_96, all_264_2_338 and discharging atoms internal_friction(all_0_8_8, all_0_7_7) = all_264_2_338, internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96, yields:
% 19.78/5.28 | (333) all_264_2_338 = all_87_6_96
% 19.78/5.28 |
% 19.78/5.28 | Combining equations (332,333) yields a new equation:
% 19.78/5.28 | (334) all_108_6_121 = all_87_6_96
% 19.78/5.28 |
% 19.78/5.28 | Simplifying 334 yields:
% 19.78/5.28 | (335) all_108_6_121 = all_87_6_96
% 19.78/5.28 |
% 19.78/5.28 | Combining equations (330,331) yields a new equation:
% 19.78/5.28 | (336) all_108_5_120 = all_87_5_95
% 19.78/5.28 |
% 19.78/5.28 | Simplifying 336 yields:
% 19.78/5.28 | (337) all_108_5_120 = all_87_5_95
% 19.78/5.28 |
% 19.78/5.28 | From (337) and (327) follows:
% 19.78/5.28 | (303) internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95
% 19.78/5.28 |
% 19.78/5.28 | From (335) and (328) follows:
% 19.78/5.28 | (304) internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96
% 19.78/5.28 |
% 19.78/5.28 | From (331)(333) and (276) follows:
% 19.78/5.28 | (340) smaller_or_equal(all_87_5_95, all_87_6_96) = all_264_0_336
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (28) with all_87_5_95, all_87_6_96, all_0_7_7, all_0_6_6, all_0_8_8 and discharging atoms internal_friction(all_0_8_8, all_0_6_6) = all_87_5_95, internal_friction(all_0_8_8, all_0_7_7) = all_87_6_96, yields:
% 19.78/5.28 | (341) all_87_5_95 = all_87_6_96 | ? [v0] : ( ~ (v0 = 0) & organization(all_0_8_8) = v0)
% 19.78/5.28 |
% 19.78/5.28 +-Applying beta-rule and splitting (341), into two cases.
% 19.78/5.28 |-Branch one:
% 19.78/5.28 | (342) all_87_5_95 = all_87_6_96
% 19.78/5.28 |
% 19.78/5.28 | From (342) and (340) follows:
% 19.78/5.28 | (343) smaller_or_equal(all_87_6_96, all_87_6_96) = all_264_0_336
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (23) with all_264_0_336, all_87_6_96 and discharging atoms smaller_or_equal(all_87_6_96, all_87_6_96) = all_264_0_336, yields:
% 19.78/5.28 | (344) all_264_0_336 = 0
% 19.78/5.28 |
% 19.78/5.28 | Equations (344) can reduce 273 to:
% 19.78/5.28 | (94) $false
% 19.78/5.28 |
% 19.78/5.28 |-The branch is then unsatisfiable
% 19.78/5.28 |-Branch two:
% 19.78/5.28 | (346) ~ (all_87_5_95 = all_87_6_96)
% 19.78/5.28 | (347) ? [v0] : ( ~ (v0 = 0) & organization(all_0_8_8) = v0)
% 19.78/5.28 |
% 19.78/5.28 | Instantiating (347) with all_357_0_378 yields:
% 19.78/5.28 | (348) ~ (all_357_0_378 = 0) & organization(all_0_8_8) = all_357_0_378
% 19.78/5.28 |
% 19.78/5.28 | Applying alpha-rule on (348) yields:
% 19.78/5.28 | (349) ~ (all_357_0_378 = 0)
% 19.78/5.28 | (350) organization(all_0_8_8) = all_357_0_378
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (63) with all_0_8_8, all_357_0_378, 0 and discharging atoms organization(all_0_8_8) = all_357_0_378, organization(all_0_8_8) = 0, yields:
% 19.78/5.28 | (351) all_357_0_378 = 0
% 19.78/5.28 |
% 19.78/5.28 | Equations (351) can reduce 349 to:
% 19.78/5.28 | (94) $false
% 19.78/5.28 |
% 19.78/5.28 |-The branch is then unsatisfiable
% 19.78/5.28 |-Branch two:
% 19.78/5.28 | (353) ~ (all_87_1_91 = 0) & smaller_or_equal(all_37_1_50, all_37_2_51) = all_87_1_91
% 19.78/5.28 |
% 19.78/5.28 | Applying alpha-rule on (353) yields:
% 19.78/5.28 | (302) ~ (all_87_1_91 = 0)
% 19.78/5.28 | (355) smaller_or_equal(all_37_1_50, all_37_2_51) = all_87_1_91
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (62) with all_37_1_50, all_37_2_51, all_87_1_91, 0 and discharging atoms smaller_or_equal(all_37_1_50, all_37_2_51) = all_87_1_91, smaller_or_equal(all_37_1_50, all_37_2_51) = 0, yields:
% 19.78/5.28 | (292) all_87_1_91 = 0
% 19.78/5.28 |
% 19.78/5.28 | Equations (292) can reduce 302 to:
% 19.78/5.28 | (94) $false
% 19.78/5.28 |
% 19.78/5.28 |-The branch is then unsatisfiable
% 19.78/5.28 |-Branch two:
% 19.78/5.28 | (358) ~ (all_264_4_340 = 0) & stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342 & stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341 & greater(all_264_6_342, all_264_5_341) = all_264_4_340
% 19.78/5.28 |
% 19.78/5.28 | Applying alpha-rule on (358) yields:
% 19.78/5.28 | (359) ~ (all_264_4_340 = 0)
% 19.78/5.28 | (360) stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342
% 19.78/5.28 | (361) stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341
% 19.78/5.28 | (362) greater(all_264_6_342, all_264_5_341) = all_264_4_340
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (34) with all_0_8_8, all_0_6_6, all_264_6_342, all_37_2_51 and discharging atoms stock_of_knowledge(all_0_8_8, all_0_6_6) = all_264_6_342, stock_of_knowledge(all_0_8_8, all_0_6_6) = all_37_2_51, yields:
% 19.78/5.28 | (363) all_264_6_342 = all_37_2_51
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (34) with all_0_8_8, all_0_7_7, all_264_5_341, all_37_1_50 and discharging atoms stock_of_knowledge(all_0_8_8, all_0_7_7) = all_264_5_341, stock_of_knowledge(all_0_8_8, all_0_7_7) = all_37_1_50, yields:
% 19.78/5.28 | (364) all_264_5_341 = all_37_1_50
% 19.78/5.28 |
% 19.78/5.28 | From (363)(364) and (362) follows:
% 19.78/5.28 | (365) greater(all_37_2_51, all_37_1_50) = all_264_4_340
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (39) with all_37_2_51, all_37_1_50, all_264_4_340, 0 and discharging atoms greater(all_37_2_51, all_37_1_50) = all_264_4_340, greater(all_37_2_51, all_37_1_50) = 0, yields:
% 19.78/5.28 | (366) all_264_4_340 = 0
% 19.78/5.28 |
% 19.78/5.28 | Equations (366) can reduce 359 to:
% 19.78/5.28 | (94) $false
% 19.78/5.28 |
% 19.78/5.28 |-The branch is then unsatisfiable
% 19.78/5.28 |-Branch two:
% 19.78/5.28 | (368) ~ (all_61_2_66 = 0) & organization(all_0_8_8) = all_61_2_66
% 19.78/5.28 |
% 19.78/5.28 | Applying alpha-rule on (368) yields:
% 19.78/5.28 | (369) ~ (all_61_2_66 = 0)
% 19.78/5.28 | (370) organization(all_0_8_8) = all_61_2_66
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (63) with all_0_8_8, all_61_2_66, 0 and discharging atoms organization(all_0_8_8) = all_61_2_66, organization(all_0_8_8) = 0, yields:
% 19.78/5.28 | (371) all_61_2_66 = 0
% 19.78/5.28 |
% 19.78/5.28 | Equations (371) can reduce 369 to:
% 19.78/5.28 | (94) $false
% 19.78/5.28 |
% 19.78/5.28 |-The branch is then unsatisfiable
% 19.78/5.28 |-Branch two:
% 19.78/5.28 | (373) ~ (all_38_2_54 = 0) & organization(all_0_8_8) = all_38_2_54
% 19.78/5.28 |
% 19.78/5.28 | Applying alpha-rule on (373) yields:
% 19.78/5.28 | (374) ~ (all_38_2_54 = 0)
% 19.78/5.28 | (375) organization(all_0_8_8) = all_38_2_54
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (63) with all_0_8_8, all_38_2_54, 0 and discharging atoms organization(all_0_8_8) = all_38_2_54, organization(all_0_8_8) = 0, yields:
% 19.78/5.28 | (376) all_38_2_54 = 0
% 19.78/5.28 |
% 19.78/5.28 | Equations (376) can reduce 374 to:
% 19.78/5.28 | (94) $false
% 19.78/5.28 |
% 19.78/5.28 |-The branch is then unsatisfiable
% 19.78/5.28 |-Branch two:
% 19.78/5.28 | (378) ~ (all_37_2_51 = 0) & organization(all_0_8_8) = all_37_2_51
% 19.78/5.28 |
% 19.78/5.28 | Applying alpha-rule on (378) yields:
% 19.78/5.28 | (379) ~ (all_37_2_51 = 0)
% 19.78/5.28 | (380) organization(all_0_8_8) = all_37_2_51
% 19.78/5.28 |
% 19.78/5.28 | Instantiating formula (63) with all_0_8_8, all_37_2_51, 0 and discharging atoms organization(all_0_8_8) = all_37_2_51, organization(all_0_8_8) = 0, yields:
% 19.78/5.28 | (381) all_37_2_51 = 0
% 19.78/5.28 |
% 19.78/5.28 | Equations (381) can reduce 379 to:
% 19.78/5.28 | (94) $false
% 19.78/5.28 |
% 19.78/5.28 |-The branch is then unsatisfiable
% 19.78/5.28 % SZS output end Proof for theBenchmark
% 19.78/5.28
% 19.78/5.28 4598ms
%------------------------------------------------------------------------------