TSTP Solution File: MGT043+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 8.61s 2.55s
% Output : Proof 16.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 11:42:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.48/0.60 ____ _
% 0.48/0.60 ___ / __ \_____(_)___ ________ __________
% 0.48/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.48/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.48/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.48/0.60
% 0.48/0.60 A Theorem Prover for First-Order Logic
% 0.48/0.61 (ePrincess v.1.0)
% 0.48/0.61
% 0.48/0.61 (c) Philipp Rümmer, 2009-2015
% 0.48/0.61 (c) Peter Backeman, 2014-2015
% 0.48/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.48/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.48/0.61 Bug reports to peter@backeman.se
% 0.48/0.61
% 0.48/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.48/0.61
% 0.48/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.78/0.96 Prover 0: Preprocessing ...
% 2.93/1.31 Prover 0: Warning: ignoring some quantifiers
% 3.19/1.33 Prover 0: Constructing countermodel ...
% 5.82/1.93 Prover 0: gave up
% 5.82/1.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 5.82/1.97 Prover 1: Preprocessing ...
% 6.05/2.03 Prover 1: Constructing countermodel ...
% 6.47/2.09 Prover 1: gave up
% 6.47/2.09 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 6.70/2.12 Prover 2: Preprocessing ...
% 7.27/2.24 Prover 2: Warning: ignoring some quantifiers
% 7.27/2.25 Prover 2: Constructing countermodel ...
% 8.61/2.55 Prover 2: proved (457ms)
% 8.61/2.55
% 8.61/2.55 No countermodel exists, formula is valid
% 8.61/2.55 % SZS status Theorem for theBenchmark
% 8.61/2.55
% 8.61/2.55 Generating proof ... Warning: ignoring some quantifiers
% 15.53/4.21 found it (size 229)
% 15.53/4.21
% 15.53/4.21 % SZS output start Proof for theBenchmark
% 15.53/4.21 Assumed formulas after preprocessing and simplification:
% 15.53/4.21 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = 0) & ~ (v4 = 0) & ~ (v3 = 0) & external_ties(v0, v2) = v8 & external_ties(v0, v1) = v8 & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7 & stock_of_knowledge(v0, v2) = v5 & stock_of_knowledge(v0, v1) = v5 & organization(v0) = 0 & has_immunity(v0, v2) = v4 & has_immunity(v0, v1) = v3 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v10 & greater(v9, v10) = v11 & greater(v6, v7) = 0 & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (external_ties(v12, v14) = v15) | ~ (external_ties(v12, v13) = v16) | ~ (greater(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (( ~ (v18 = 0) & organization(v12) = v18) | (( ~ (v17 = 0) | (v20 = 0 & position(v12, v14) = v18 & position(v12, v13) = v19 & greater(v18, v19) = 0)) & ( ~ (v16 = v15) | (v19 = v18 & position(v12, v14) = v18 & position(v12, v13) = v18))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (internal_friction(v12, v14) = v15) | ~ (internal_friction(v12, v13) = v16) | ~ (greater(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v18 = 0) & organization(v12) = v18) | (( ~ (v17 = 0) | (v24 = 0 & capability(v12, v14) = v22 & capability(v12, v13) = v23 & smaller(v22, v23) = 0) | ( ~ (v24 = 0) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19 & smaller_or_equal(v18, v19) = v24)) & ( ~ (v16 = v15) | (v23 = v22 & capability(v12, v14) = v22 & capability(v12, v13) = v22) | ( ~ (v19 = v18) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19)) & ((v25 = 0 & capability(v12, v14) = v22 & capability(v12, v13) = v23 & greater(v22, v23) = 0) | ( ~ (v21 = 0) & smaller_or_equal(v15, v16) = v21) | ( ~ (v20 = 0) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19 & greater(v18, v19) = v20))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (internal_friction(v12, v14) = v15) | ~ (internal_friction(v12, v13) = v16) | ~ (smaller_or_equal(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (( ~ (v18 = 0) & organization(v12) = v18) | (( ~ (v17 = 0) | (v24 = 0 & capability(v12, v14) = v21 & capability(v12, v13) = v22 & greater(v21, v22) = 0) | ( ~ (v20 = 0) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19 & greater(v18, v19) = v20)) & ( ~ (v16 = v15) | (v22 = v21 & capability(v12, v14) = v21 & capability(v12, v13) = v21) | ( ~ (v19 = v18) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19)) & ((v23 = 0 & capability(v12, v14) = v21 & capability(v12, v13) = v22 & smaller(v21, v22) = 0) | ( ~ (v23 = 0) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19 & smaller_or_equal(v18, v19) = v23) | ( ~ (v23 = 0) & greater(v15, v16) = v23))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (stock_of_knowledge(v12, v14) = v15) | ~ (stock_of_knowledge(v12, v13) = v16) | ~ (greater(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (( ~ (v18 = 0) & organization(v12) = v18) | (( ~ (v17 = 0) | (v24 = 0 & capability(v12, v14) = v21 & capability(v12, v13) = v22 & greater(v21, v22) = 0) | ( ~ (v20 = 0) & internal_friction(v12, v14) = v18 & internal_friction(v12, v13) = v19 & smaller_or_equal(v18, v19) = v20)) & ( ~ (v16 = v15) | (v22 = v21 & capability(v12, v14) = v21 & capability(v12, v13) = v21) | ( ~ (v19 = v18) & internal_friction(v12, v14) = v18 & internal_friction(v12, v13) = v19)) & ((v23 = 0 & capability(v12, v14) = v21 & capability(v12, v13) = v22 & smaller(v21, v22) = 0) | ( ~ (v23 = 0) & internal_friction(v12, v14) = v18 & internal_friction(v12, v13) = v19 & greater(v18, v19) = v23) | ( ~ (v23 = 0) & smaller_or_equal(v15, v16) = v23))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (stock_of_knowledge(v12, v14) = v15) | ~ (stock_of_knowledge(v12, v13) = v16) | ~ (smaller_or_equal(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v18 = 0) & organization(v12) = v18) | (( ~ (v17 = 0) | (v24 = 0 & capability(v12, v14) = v22 & capability(v12, v13) = v23 & smaller(v22, v23) = 0) | ( ~ (v24 = 0) & internal_friction(v12, v14) = v19 & internal_friction(v12, v13) = v20 & greater(v19, v20) = v24)) & ( ~ (v16 = v15) | (v23 = v22 & capability(v12, v14) = v22 & capability(v12, v13) = v22) | ( ~ (v20 = v19) & internal_friction(v12, v14) = v19 & internal_friction(v12, v13) = v20)) & ((v25 = 0 & capability(v12, v14) = v22 & capability(v12, v13) = v23 & greater(v22, v23) = 0) | ( ~ (v21 = 0) & internal_friction(v12, v14) = v19 & internal_friction(v12, v13) = v20 & smaller_or_equal(v19, v20) = v21) | ( ~ (v18 = 0) & greater(v15, v16) = v18))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (position(v12, v14) = v15) | ~ (position(v12, v13) = v16) | ~ (greater(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v18 = 0 & has_immunity(v12, v14) = 0) | (v18 = 0 & has_immunity(v12, v13) = 0) | ( ~ (v18 = 0) & organization(v12) = v18) | (( ~ (v16 = v15) | (v23 = v22 & hazard_of_mortality(v12, v14) = v22 & hazard_of_mortality(v12, v13) = v22) | ( ~ (v19 = v18) & capability(v12, v14) = v18 & capability(v12, v13) = v19)) & ((v24 = 0 & hazard_of_mortality(v12, v14) = v22 & hazard_of_mortality(v12, v13) = v23 & smaller(v22, v23) = 0) | (( ~ (v17 = 0) | ( ~ (v24 = 0) & capability(v12, v14) = v18 & capability(v12, v13) = v19 & greater_or_equal(v18, v19) = v24)) & (( ~ (v21 = 0) & greater_or_equal(v15, v16) = v21) | ( ~ (v20 = 0) & capability(v12, v14) = v18 & capability(v12, v13) = v19 & greater(v18, v19) = v20))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (position(v12, v14) = v15) | ~ (position(v12, v13) = v16) | ~ (greater(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (( ~ (v18 = 0) & organization(v12) = v18) | ((v17 = 0 | ( ~ (v20 = 0) & external_ties(v12, v14) = v18 & external_ties(v12, v13) = v19 & greater(v18, v19) = v20)) & (v16 = v15 | ( ~ (v19 = v18) & external_ties(v12, v14) = v18 & external_ties(v12, v13) = v19))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (position(v12, v14) = v15) | ~ (position(v12, v13) = v16) | ~ (greater_or_equal(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v18 = 0 & has_immunity(v12, v14) = 0) | (v18 = 0 & has_immunity(v12, v13) = 0) | ( ~ (v18 = 0) & organization(v12) = v18) | (( ~ (v16 = v15) | (v22 = v21 & hazard_of_mortality(v12, v14) = v21 & hazard_of_mortality(v12, v13) = v21) | ( ~ (v19 = v18) & capability(v12, v14) = v18 & capability(v12, v13) = v19)) & ((v23 = 0 & hazard_of_mortality(v12, v14) = v21 & hazard_of_mortality(v12, v13) = v22 & smaller(v21, v22) = 0) | (( ~ (v17 = 0) | ( ~ (v20 = 0) & capability(v12, v14) = v18 & capability(v12, v13) = v19 & greater(v18, v19) = v20)) & (( ~ (v23 = 0) & capability(v12, v14) = v18 & capability(v12, v13) = v19 & greater_or_equal(v18, v19) = v23) | ( ~ (v23 = 0) & greater(v15, v16) = v23))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (capability(v12, v14) = v15) | ~ (capability(v12, v13) = v16) | ~ (greater(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (( ~ (v18 = 0) & organization(v12) = v18) | ((v17 = 0 | ( ~ (v24 = 0) & internal_friction(v12, v14) = v21 & internal_friction(v12, v13) = v22 & smaller_or_equal(v21, v22) = v24) | ( ~ (v20 = 0) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19 & greater(v18, v19) = v20)) & (v16 = v15 | ( ~ (v22 = v21) & internal_friction(v12, v14) = v21 & internal_friction(v12, v13) = v22) | ( ~ (v19 = v18) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19)) & ((v23 = 0 & smaller(v15, v16) = 0) | ( ~ (v23 = 0) & internal_friction(v12, v14) = v21 & internal_friction(v12, v13) = v22 & greater(v21, v22) = v23) | ( ~ (v23 = 0) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19 & smaller_or_equal(v18, v19) = v23))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (capability(v12, v14) = v15) | ~ (capability(v12, v13) = v16) | ~ (greater(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v18 = 0 & has_immunity(v12, v14) = 0) | (v18 = 0 & has_immunity(v12, v13) = 0) | ( ~ (v18 = 0) & organization(v12) = v18) | (( ~ (v16 = v15) | (v22 = v21 & hazard_of_mortality(v12, v14) = v21 & hazard_of_mortality(v12, v13) = v21) | ( ~ (v19 = v18) & position(v12, v14) = v18 & position(v12, v13) = v19)) & ((v23 = 0 & hazard_of_mortality(v12, v14) = v21 & hazard_of_mortality(v12, v13) = v22 & smaller(v21, v22) = 0) | (( ~ (v17 = 0) | ( ~ (v20 = 0) & position(v12, v14) = v18 & position(v12, v13) = v19 & greater_or_equal(v18, v19) = v20)) & (( ~ (v23 = 0) & position(v12, v14) = v18 & position(v12, v13) = v19 & greater(v18, v19) = v23) | ( ~ (v23 = 0) & greater_or_equal(v15, v16) = v23))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (capability(v12, v14) = v15) | ~ (capability(v12, v13) = v16) | ~ (greater_or_equal(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v18 = 0 & has_immunity(v12, v14) = 0) | (v18 = 0 & has_immunity(v12, v13) = 0) | ( ~ (v18 = 0) & organization(v12) = v18) | (( ~ (v16 = v15) | (v23 = v22 & hazard_of_mortality(v12, v14) = v22 & hazard_of_mortality(v12, v13) = v22) | ( ~ (v20 = v19) & position(v12, v14) = v19 & position(v12, v13) = v20)) & ((v24 = 0 & hazard_of_mortality(v12, v14) = v22 & hazard_of_mortality(v12, v13) = v23 & smaller(v22, v23) = 0) | (( ~ (v17 = 0) | ( ~ (v24 = 0) & position(v12, v14) = v19 & position(v12, v13) = v20 & greater(v19, v20) = v24)) & (( ~ (v21 = 0) & position(v12, v14) = v19 & position(v12, v13) = v20 & greater_or_equal(v19, v20) = v21) | ( ~ (v18 = 0) & greater(v15, v16) = v18))))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (capability(v12, v14) = v15) | ~ (capability(v12, v13) = v16) | ~ (smaller(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (( ~ (v18 = 0) & organization(v12) = v18) | ((v17 = 0 | ( ~ (v23 = 0) & internal_friction(v12, v14) = v21 & internal_friction(v12, v13) = v22 & greater(v21, v22) = v23) | ( ~ (v23 = 0) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19 & smaller_or_equal(v18, v19) = v23)) & (v16 = v15 | ( ~ (v22 = v21) & internal_friction(v12, v14) = v21 & internal_friction(v12, v13) = v22) | ( ~ (v19 = v18) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19)) & ((v24 = 0 & greater(v15, v16) = 0) | ( ~ (v24 = 0) & internal_friction(v12, v14) = v21 & internal_friction(v12, v13) = v22 & smaller_or_equal(v21, v22) = v24) | ( ~ (v20 = 0) & stock_of_knowledge(v12, v14) = v18 & stock_of_knowledge(v12, v13) = v19 & greater(v18, v19) = v20))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (hazard_of_mortality(v12, v14) = v15) | ~ (hazard_of_mortality(v12, v13) = v16) | ~ (smaller(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v18 = 0 & has_immunity(v12, v14) = 0) | (v18 = 0 & has_immunity(v12, v13) = 0) | ( ~ (v18 = 0) & organization(v12) = v18) | ((v17 = 0 | ((( ~ (v24 = 0) & position(v12, v14) = v21 & position(v12, v13) = v22 & greater_or_equal(v21, v22) = v24) | ( ~ (v20 = 0) & capability(v12, v14) = v18 & capability(v12, v13) = v19 & greater(v18, v19) = v20)) & (( ~ (v23 = 0) & position(v12, v14) = v21 & position(v12, v13) = v22 & greater(v21, v22) = v23) | ( ~ (v23 = 0) & capability(v12, v14) = v18 & capability(v12, v13) = v19 & greater_or_equal(v18, v19) = v23)))) & (v16 = v15 | ( ~ (v22 = v21) & position(v12, v14) = v21 & position(v12, v13) = v22) | ( ~ (v19 = v18) & capability(v12, v14) = v18 & capability(v12, v13) = v19))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (greater(v13, v14) = 0) | ~ (greater(v12, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & greater(v12, v13) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (greater(v12, v14) = v15) | ~ (greater(v12, v13) = 0) | ? [v16] : ( ~ (v16 = 0) & greater(v13, v14) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (external_ties(v15, v14) = v13) | ~ (external_ties(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (internal_friction(v15, v14) = v13) | ~ (internal_friction(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (stock_of_knowledge(v15, v14) = v13) | ~ (stock_of_knowledge(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (position(v15, v14) = v13) | ~ (position(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (has_immunity(v15, v14) = v13) | ~ (has_immunity(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (capability(v15, v14) = v13) | ~ (capability(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (hazard_of_mortality(v15, v14) = v13) | ~ (hazard_of_mortality(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (greater(v15, v14) = v13) | ~ (greater(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (greater_or_equal(v15, v14) = v13) | ~ (greater_or_equal(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (smaller(v15, v14) = v13) | ~ (smaller(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (smaller_or_equal(v15, v14) = v13) | ~ (smaller_or_equal(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (greater(v12, v13) = v14) | smaller(v12, v13) = 0) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (greater(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & greater_or_equal(v12, v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (smaller(v12, v13) = v14) | greater(v12, v13) = 0) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (smaller(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & smaller_or_equal(v12, v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (greater(v13, v12) = v14) | ? [v15] : ( ~ (v15 = 0) & smaller(v12, v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (greater_or_equal(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & greater(v12, v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (smaller(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & greater(v13, v12) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (smaller_or_equal(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & smaller(v12, v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (organization(v14) = v13) | ~ (organization(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (greater(v13, v14) = 0) | ~ (greater(v12, v13) = 0) | greater(v12, v14) = 0) & ! [v12] : ! [v13] : (v13 = v12 | ~ (greater_or_equal(v12, v13) = 0) | greater(v12, v13) = 0) & ! [v12] : ! [v13] : (v13 = v12 | ~ (smaller_or_equal(v12, v13) = 0) | smaller(v12, v13) = 0) & ! [v12] : ! [v13] : (v13 = 0 | ~ (greater_or_equal(v12, v12) = v13)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (smaller_or_equal(v12, v12) = v13)) & ! [v12] : ! [v13] : ( ~ (greater(v13, v12) = 0) | smaller(v12, v13) = 0) & ! [v12] : ! [v13] : ( ~ (greater(v13, v12) = 0) | ? [v14] : ( ~ (v14 = 0) & greater(v12, v13) = v14)) & ! [v12] : ! [v13] : ( ~ (greater(v12, v13) = 0) | greater_or_equal(v12, v13) = 0) & ! [v12] : ! [v13] : ( ~ (greater(v12, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & greater(v13, v12) = v14)) & ! [v12] : ! [v13] : ( ~ (greater(v12, v12) = v13) | greater_or_equal(v12, v12) = 0) & ! [v12] : ! [v13] : ( ~ (smaller(v12, v13) = 0) | greater(v13, v12) = 0) & ! [v12] : ! [v13] : ( ~ (smaller(v12, v13) = 0) | smaller_or_equal(v12, v13) = 0) & ! [v12] : ! [v13] : ( ~ (smaller(v12, v12) = v13) | smaller_or_equal(v12, v12) = 0) & ? [v12] : ? [v13] : ? [v14] : external_ties(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : internal_friction(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : stock_of_knowledge(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : position(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : has_immunity(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : capability(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : hazard_of_mortality(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : greater(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : greater_or_equal(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : smaller(v13, v12) = v14 & ? [v12] : ? [v13] : ? [v14] : smaller_or_equal(v13, v12) = v14 & ? [v12] : ? [v13] : organization(v12) = v13)
% 15.89/4.28 | 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, all_0_9_9, all_0_10_10, all_0_11_11 yields:
% 15.89/4.28 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_7_7 = 0) & ~ (all_0_8_8 = 0) & external_ties(all_0_11_11, all_0_9_9) = all_0_3_3 & external_ties(all_0_11_11, all_0_10_10) = all_0_3_3 & internal_friction(all_0_11_11, all_0_9_9) = all_0_5_5 & internal_friction(all_0_11_11, all_0_10_10) = all_0_4_4 & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_0_6_6 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_0_6_6 & organization(all_0_11_11) = 0 & has_immunity(all_0_11_11, all_0_9_9) = all_0_7_7 & has_immunity(all_0_11_11, all_0_10_10) = all_0_8_8 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_0_2_2 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_0_1_1 & greater(all_0_2_2, all_0_1_1) = all_0_0_0 & greater(all_0_5_5, all_0_4_4) = 0 & ! [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] : (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 | ~ (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 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(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 | ~ (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] : ( ~ (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] : ( ~ (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] : 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] : has_immunity(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : capability(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : hazard_of_mortality(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
% 16.11/4.31 |
% 16.11/4.31 | Applying alpha-rule on (1) yields:
% 16.11/4.31 | (2) ? [v0] : ? [v1] : ? [v2] : position(v1, v0) = v2
% 16.11/4.31 | (3) ! [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)))))))
% 16.11/4.31 | (4) ? [v0] : ? [v1] : ? [v2] : external_ties(v1, v0) = v2
% 16.11/4.31 | (5) ! [v0] : ! [v1] : ( ~ (smaller(v0, v0) = v1) | smaller_or_equal(v0, v0) = 0)
% 16.11/4.31 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0))
% 16.11/4.31 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0)
% 16.11/4.31 | (8) ? [v0] : ? [v1] : ? [v2] : stock_of_knowledge(v1, v0) = v2
% 16.11/4.31 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (internal_friction(v3, v2) = v1) | ~ (internal_friction(v3, v2) = v0))
% 16.11/4.31 | (10) external_ties(all_0_11_11, all_0_10_10) = all_0_3_3
% 16.11/4.31 | (11) greater(all_0_2_2, all_0_1_1) = all_0_0_0
% 16.11/4.31 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = 0) | ~ (greater(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4))
% 16.11/4.31 | (13) stock_of_knowledge(all_0_11_11, all_0_9_9) = all_0_6_6
% 16.11/4.31 | (14) ? [v0] : ? [v1] : ? [v2] : greater(v1, v0) = v2
% 16.11/4.31 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))
% 16.11/4.31 | (16) ! [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)))))
% 16.11/4.31 | (17) ~ (all_0_7_7 = 0)
% 16.11/4.31 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3, v2) = v0))
% 16.11/4.31 | (19) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 16.11/4.31 | (20) ~ (all_0_8_8 = 0)
% 16.11/4.31 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3))
% 16.11/4.31 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (external_ties(v3, v2) = v1) | ~ (external_ties(v3, v2) = v0))
% 16.11/4.31 | (23) ! [v0] : ! [v1] : ( ~ (greater(v0, v0) = v1) | greater_or_equal(v0, v0) = 0)
% 16.11/4.31 | (24) ! [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)))))))
% 16.11/4.32 | (25) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | greater_or_equal(v0, v1) = 0)
% 16.11/4.32 | (26) external_ties(all_0_11_11, all_0_9_9) = all_0_3_3
% 16.11/4.32 | (27) ? [v0] : ? [v1] : ? [v2] : hazard_of_mortality(v1, v0) = v2
% 16.11/4.32 | (28) ? [v0] : ? [v1] : ? [v2] : smaller_or_equal(v1, v0) = v2
% 16.11/4.32 | (29) ! [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)))))
% 16.11/4.32 | (30) ! [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)))))
% 16.11/4.32 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0))
% 16.11/4.32 | (32) ! [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)))))
% 16.11/4.32 | (33) has_immunity(all_0_11_11, all_0_10_10) = all_0_8_8
% 16.11/4.32 | (34) ! [v0] : ! [v1] : (v1 = 0 | ~ (smaller_or_equal(v0, v0) = v1))
% 16.11/4.32 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 16.11/4.32 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (stock_of_knowledge(v3, v2) = v1) | ~ (stock_of_knowledge(v3, v2) = v0))
% 16.11/4.32 | (37) ? [v0] : ? [v1] : ? [v2] : greater_or_equal(v1, v0) = v2
% 16.11/4.32 | (38) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | greater(v1, v0) = 0)
% 16.11/4.32 | (39) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | smaller(v0, v1) = 0)
% 16.11/4.32 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (position(v3, v2) = v1) | ~ (position(v3, v2) = v0))
% 16.11/4.32 | (41) ! [v0] : ! [v1] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | smaller(v0, v1) = 0)
% 16.11/4.32 | (42) organization(all_0_11_11) = 0
% 16.11/4.32 | (43) ? [v0] : ? [v1] : organization(v0) = v1
% 16.11/4.32 | (44) ! [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)))))))
% 16.11/4.32 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0))
% 16.11/4.32 | (46) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3))
% 16.11/4.33 | (47) ! [v0] : ! [v1] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0)
% 16.11/4.33 | (48) stock_of_knowledge(all_0_11_11, all_0_10_10) = all_0_6_6
% 16.11/4.33 | (49) ! [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)))))
% 16.11/4.33 | (50) ! [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)))))
% 16.11/4.33 | (51) ! [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)))))
% 16.11/4.33 | (52) internal_friction(all_0_11_11, all_0_10_10) = all_0_4_4
% 16.11/4.33 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0))
% 16.11/4.33 | (54) ! [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)))))
% 16.11/4.33 | (55) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller_or_equal(v0, v1) = v3))
% 16.11/4.33 | (56) hazard_of_mortality(all_0_11_11, all_0_10_10) = all_0_1_1
% 16.11/4.33 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0))
% 16.11/4.33 | (58) ? [v0] : ? [v1] : ? [v2] : smaller(v1, v0) = v2
% 16.11/4.33 | (59) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | smaller_or_equal(v0, v1) = 0)
% 16.11/4.33 | (60) ! [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)))))
% 16.11/4.33 | (61) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | greater(v0, v1) = 0)
% 16.11/4.33 | (62) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | smaller(v0, v1) = 0)
% 16.11/4.33 | (63) has_immunity(all_0_11_11, all_0_9_9) = all_0_7_7
% 16.11/4.33 | (64) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 16.11/4.33 | (65) ~ (all_0_0_0 = 0)
% 16.11/4.33 | (66) ? [v0] : ? [v1] : ? [v2] : internal_friction(v1, v0) = v2
% 16.11/4.33 | (67) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3))
% 16.11/4.33 | (68) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v1, v0) = v2))
% 16.11/4.33 | (69) ? [v0] : ? [v1] : ? [v2] : capability(v1, v0) = v2
% 16.11/4.33 | (70) hazard_of_mortality(all_0_11_11, all_0_9_9) = all_0_2_2
% 16.11/4.33 | (71) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2))
% 16.11/4.33 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0))
% 16.11/4.33 | (73) ! [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)))))))
% 16.11/4.34 | (74) internal_friction(all_0_11_11, all_0_9_9) = all_0_5_5
% 16.11/4.34 | (75) ? [v0] : ? [v1] : ? [v2] : has_immunity(v1, v0) = v2
% 16.11/4.34 | (76) ! [v0] : ! [v1] : (v1 = 0 | ~ (greater_or_equal(v0, v0) = v1))
% 16.11/4.34 | (77) greater(all_0_5_5, all_0_4_4) = 0
% 16.11/4.34 |
% 16.11/4.34 | Instantiating formula (19) with all_0_0_0, all_0_2_2, all_0_1_1 and discharging atoms greater(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 16.11/4.34 | (78) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = 0) & smaller(all_0_1_1, all_0_2_2) = v0)
% 16.11/4.34 |
% 16.11/4.34 | Instantiating formula (16) with 0, all_0_4_4, all_0_5_5, all_0_9_9, all_0_10_10, all_0_11_11 and discharging atoms internal_friction(all_0_11_11, all_0_9_9) = all_0_5_5, internal_friction(all_0_11_11, all_0_10_10) = all_0_4_4, greater(all_0_5_5, all_0_4_4) = 0, yields:
% 16.11/4.34 | (79) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v0 = 0) & organization(all_0_11_11) = v0) | (( ~ (all_0_4_4 = all_0_5_5) | (v5 = v4 & capability(all_0_11_11, all_0_9_9) = v4 & capability(all_0_11_11, all_0_10_10) = v4) | ( ~ (v1 = v0) & stock_of_knowledge(all_0_11_11, all_0_9_9) = v0 & stock_of_knowledge(all_0_11_11, all_0_10_10) = v1)) & ((v7 = 0 & capability(all_0_11_11, all_0_9_9) = v4 & capability(all_0_11_11, all_0_10_10) = v5 & greater(v4, v5) = 0) | ( ~ (v3 = 0) & smaller_or_equal(all_0_5_5, all_0_4_4) = v3) | ( ~ (v2 = 0) & stock_of_knowledge(all_0_11_11, all_0_9_9) = v0 & stock_of_knowledge(all_0_11_11, all_0_10_10) = v1 & greater(v0, v1) = v2)) & ((v6 = 0 & capability(all_0_11_11, all_0_9_9) = v4 & capability(all_0_11_11, all_0_10_10) = v5 & smaller(v4, v5) = 0) | ( ~ (v6 = 0) & stock_of_knowledge(all_0_11_11, all_0_9_9) = v0 & stock_of_knowledge(all_0_11_11, all_0_10_10) = v1 & smaller_or_equal(v0, v1) = v6))))
% 16.11/4.34 |
% 16.40/4.34 | Instantiating (79) with all_33_0_47, all_33_1_48, all_33_2_49, all_33_3_50, all_33_4_51, all_33_5_52, all_33_6_53, all_33_7_54 yields:
% 16.40/4.34 | (80) ( ~ (all_33_7_54 = 0) & organization(all_0_11_11) = all_33_7_54) | (( ~ (all_0_4_4 = all_0_5_5) | (all_33_2_49 = all_33_3_50 & capability(all_0_11_11, all_0_9_9) = all_33_3_50 & capability(all_0_11_11, all_0_10_10) = all_33_3_50) | ( ~ (all_33_6_53 = all_33_7_54) & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53)) & ((all_33_0_47 = 0 & capability(all_0_11_11, all_0_9_9) = all_33_3_50 & capability(all_0_11_11, all_0_10_10) = all_33_2_49 & greater(all_33_3_50, all_33_2_49) = 0) | ( ~ (all_33_4_51 = 0) & smaller_or_equal(all_0_5_5, all_0_4_4) = all_33_4_51) | ( ~ (all_33_5_52 = 0) & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53 & greater(all_33_7_54, all_33_6_53) = all_33_5_52)) & ((all_33_1_48 = 0 & capability(all_0_11_11, all_0_9_9) = all_33_3_50 & capability(all_0_11_11, all_0_10_10) = all_33_2_49 & smaller(all_33_3_50, all_33_2_49) = 0) | ( ~ (all_33_1_48 = 0) & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53 & smaller_or_equal(all_33_7_54, all_33_6_53) = all_33_1_48)))
% 16.40/4.34 |
% 16.40/4.34 +-Applying beta-rule and splitting (78), into two cases.
% 16.40/4.34 |-Branch one:
% 16.40/4.34 | (81) all_0_0_0 = 0
% 16.40/4.34 |
% 16.40/4.34 | Equations (81) can reduce 65 to:
% 16.40/4.34 | (82) $false
% 16.40/4.34 |
% 16.40/4.34 |-The branch is then unsatisfiable
% 16.40/4.34 |-Branch two:
% 16.40/4.34 | (65) ~ (all_0_0_0 = 0)
% 16.40/4.34 | (84) ? [v0] : ( ~ (v0 = 0) & smaller(all_0_1_1, all_0_2_2) = v0)
% 16.40/4.34 |
% 16.40/4.34 | Instantiating (84) with all_40_0_56 yields:
% 16.40/4.34 | (85) ~ (all_40_0_56 = 0) & smaller(all_0_1_1, all_0_2_2) = all_40_0_56
% 16.40/4.34 |
% 16.40/4.34 | Applying alpha-rule on (85) yields:
% 16.40/4.34 | (86) ~ (all_40_0_56 = 0)
% 16.40/4.34 | (87) smaller(all_0_1_1, all_0_2_2) = all_40_0_56
% 16.40/4.34 |
% 16.40/4.34 | Instantiating formula (50) with all_40_0_56, all_0_2_2, all_0_1_1, all_0_10_10, all_0_9_9, all_0_11_11 and discharging atoms hazard_of_mortality(all_0_11_11, all_0_9_9) = all_0_2_2, hazard_of_mortality(all_0_11_11, all_0_10_10) = all_0_1_1, smaller(all_0_1_1, all_0_2_2) = all_40_0_56, yields:
% 16.40/4.34 | (88) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v0 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (v0 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (v0 = 0) & organization(all_0_11_11) = v0) | ((all_40_0_56 = 0 | ((( ~ (v6 = 0) & position(all_0_11_11, all_0_9_9) = v4 & position(all_0_11_11, all_0_10_10) = v3 & greater_or_equal(v3, v4) = v6) | ( ~ (v2 = 0) & capability(all_0_11_11, all_0_9_9) = v1 & capability(all_0_11_11, all_0_10_10) = v0 & greater(v0, v1) = v2)) & (( ~ (v5 = 0) & position(all_0_11_11, all_0_9_9) = v4 & position(all_0_11_11, all_0_10_10) = v3 & greater(v3, v4) = v5) | ( ~ (v5 = 0) & capability(all_0_11_11, all_0_9_9) = v1 & capability(all_0_11_11, all_0_10_10) = v0 & greater_or_equal(v0, v1) = v5)))) & (all_0_1_1 = all_0_2_2 | ( ~ (v4 = v3) & position(all_0_11_11, all_0_9_9) = v4 & position(all_0_11_11, all_0_10_10) = v3) | ( ~ (v1 = v0) & capability(all_0_11_11, all_0_9_9) = v1 & capability(all_0_11_11, all_0_10_10) = v0))))
% 16.40/4.34 |
% 16.40/4.34 | Instantiating formula (55) with all_40_0_56, all_0_2_2, all_0_1_1 and discharging atoms smaller(all_0_1_1, all_0_2_2) = all_40_0_56, yields:
% 16.40/4.34 | (89) all_40_0_56 = 0 | all_0_1_1 = all_0_2_2 | ? [v0] : ( ~ (v0 = 0) & smaller_or_equal(all_0_1_1, all_0_2_2) = v0)
% 16.40/4.34 |
% 16.40/4.34 | Instantiating (88) with all_48_0_57, all_48_1_58, all_48_2_59, all_48_3_60, all_48_4_61, all_48_5_62, all_48_6_63 yields:
% 16.40/4.34 | (90) (all_48_6_63 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_48_6_63 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (all_48_6_63 = 0) & organization(all_0_11_11) = all_48_6_63) | ((all_40_0_56 = 0 | ((( ~ (all_48_0_57 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57) | ( ~ (all_48_4_61 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater(all_48_6_63, all_48_5_62) = all_48_4_61)) & (( ~ (all_48_1_58 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater(all_48_3_60, all_48_2_59) = all_48_1_58) | ( ~ (all_48_1_58 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater_or_equal(all_48_6_63, all_48_5_62) = all_48_1_58)))) & (all_0_1_1 = all_0_2_2 | ( ~ (all_48_2_59 = all_48_3_60) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60) | ( ~ (all_48_5_62 = all_48_6_63) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63)))
% 16.40/4.34 |
% 16.40/4.34 +-Applying beta-rule and splitting (89), into two cases.
% 16.40/4.34 |-Branch one:
% 16.40/4.34 | (91) all_40_0_56 = 0
% 16.40/4.34 |
% 16.40/4.34 | Equations (91) can reduce 86 to:
% 16.40/4.34 | (82) $false
% 16.40/4.34 |
% 16.40/4.34 |-The branch is then unsatisfiable
% 16.40/4.34 |-Branch two:
% 16.40/4.34 | (86) ~ (all_40_0_56 = 0)
% 16.40/4.34 | (94) all_0_1_1 = all_0_2_2 | ? [v0] : ( ~ (v0 = 0) & smaller_or_equal(all_0_1_1, all_0_2_2) = v0)
% 16.40/4.34 |
% 16.40/4.34 +-Applying beta-rule and splitting (80), into two cases.
% 16.40/4.34 |-Branch one:
% 16.40/4.34 | (95) ~ (all_33_7_54 = 0) & organization(all_0_11_11) = all_33_7_54
% 16.40/4.34 |
% 16.40/4.34 | Applying alpha-rule on (95) yields:
% 16.40/4.35 | (96) ~ (all_33_7_54 = 0)
% 16.40/4.35 | (97) organization(all_0_11_11) = all_33_7_54
% 16.40/4.35 |
% 16.40/4.35 | Instantiating formula (35) with all_0_11_11, all_33_7_54, 0 and discharging atoms organization(all_0_11_11) = all_33_7_54, organization(all_0_11_11) = 0, yields:
% 16.40/4.35 | (98) all_33_7_54 = 0
% 16.40/4.35 |
% 16.40/4.35 | Equations (98) can reduce 96 to:
% 16.40/4.35 | (82) $false
% 16.40/4.35 |
% 16.40/4.35 |-The branch is then unsatisfiable
% 16.40/4.35 |-Branch two:
% 16.40/4.35 | (100) ( ~ (all_0_4_4 = all_0_5_5) | (all_33_2_49 = all_33_3_50 & capability(all_0_11_11, all_0_9_9) = all_33_3_50 & capability(all_0_11_11, all_0_10_10) = all_33_3_50) | ( ~ (all_33_6_53 = all_33_7_54) & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53)) & ((all_33_0_47 = 0 & capability(all_0_11_11, all_0_9_9) = all_33_3_50 & capability(all_0_11_11, all_0_10_10) = all_33_2_49 & greater(all_33_3_50, all_33_2_49) = 0) | ( ~ (all_33_4_51 = 0) & smaller_or_equal(all_0_5_5, all_0_4_4) = all_33_4_51) | ( ~ (all_33_5_52 = 0) & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53 & greater(all_33_7_54, all_33_6_53) = all_33_5_52)) & ((all_33_1_48 = 0 & capability(all_0_11_11, all_0_9_9) = all_33_3_50 & capability(all_0_11_11, all_0_10_10) = all_33_2_49 & smaller(all_33_3_50, all_33_2_49) = 0) | ( ~ (all_33_1_48 = 0) & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53 & smaller_or_equal(all_33_7_54, all_33_6_53) = all_33_1_48))
% 16.40/4.35 |
% 16.40/4.35 | Applying alpha-rule on (100) yields:
% 16.40/4.35 | (101) ~ (all_0_4_4 = all_0_5_5) | (all_33_2_49 = all_33_3_50 & capability(all_0_11_11, all_0_9_9) = all_33_3_50 & capability(all_0_11_11, all_0_10_10) = all_33_3_50) | ( ~ (all_33_6_53 = all_33_7_54) & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53)
% 16.40/4.35 | (102) (all_33_0_47 = 0 & capability(all_0_11_11, all_0_9_9) = all_33_3_50 & capability(all_0_11_11, all_0_10_10) = all_33_2_49 & greater(all_33_3_50, all_33_2_49) = 0) | ( ~ (all_33_4_51 = 0) & smaller_or_equal(all_0_5_5, all_0_4_4) = all_33_4_51) | ( ~ (all_33_5_52 = 0) & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53 & greater(all_33_7_54, all_33_6_53) = all_33_5_52)
% 16.40/4.35 | (103) (all_33_1_48 = 0 & capability(all_0_11_11, all_0_9_9) = all_33_3_50 & capability(all_0_11_11, all_0_10_10) = all_33_2_49 & smaller(all_33_3_50, all_33_2_49) = 0) | ( ~ (all_33_1_48 = 0) & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53 & smaller_or_equal(all_33_7_54, all_33_6_53) = all_33_1_48)
% 16.40/4.35 |
% 16.40/4.35 +-Applying beta-rule and splitting (90), into two cases.
% 16.40/4.35 |-Branch one:
% 16.40/4.35 | (104) (all_48_6_63 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_48_6_63 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (all_48_6_63 = 0) & organization(all_0_11_11) = all_48_6_63)
% 16.40/4.35 |
% 16.40/4.35 +-Applying beta-rule and splitting (104), into two cases.
% 16.40/4.35 |-Branch one:
% 16.40/4.35 | (105) (all_48_6_63 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_48_6_63 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0)
% 16.40/4.35 |
% 16.40/4.35 +-Applying beta-rule and splitting (105), into two cases.
% 16.40/4.35 |-Branch one:
% 16.40/4.35 | (106) all_48_6_63 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0
% 16.40/4.35 |
% 16.40/4.35 | Applying alpha-rule on (106) yields:
% 16.40/4.35 | (107) all_48_6_63 = 0
% 16.40/4.35 | (108) has_immunity(all_0_11_11, all_0_9_9) = 0
% 16.40/4.35 |
% 16.40/4.35 | Instantiating formula (18) with all_0_11_11, all_0_9_9, 0, all_0_7_7 and discharging atoms has_immunity(all_0_11_11, all_0_9_9) = all_0_7_7, has_immunity(all_0_11_11, all_0_9_9) = 0, yields:
% 16.40/4.35 | (109) all_0_7_7 = 0
% 16.40/4.35 |
% 16.40/4.35 | Equations (109) can reduce 17 to:
% 16.40/4.35 | (82) $false
% 16.40/4.35 |
% 16.40/4.35 |-The branch is then unsatisfiable
% 16.40/4.35 |-Branch two:
% 16.40/4.35 | (111) all_48_6_63 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0
% 16.40/4.35 |
% 16.40/4.35 | Applying alpha-rule on (111) yields:
% 16.40/4.35 | (107) all_48_6_63 = 0
% 16.40/4.35 | (113) has_immunity(all_0_11_11, all_0_10_10) = 0
% 16.40/4.35 |
% 16.40/4.35 | Instantiating formula (18) with all_0_11_11, all_0_10_10, 0, all_0_8_8 and discharging atoms has_immunity(all_0_11_11, all_0_10_10) = all_0_8_8, has_immunity(all_0_11_11, all_0_10_10) = 0, yields:
% 16.40/4.35 | (114) all_0_8_8 = 0
% 16.40/4.35 |
% 16.40/4.35 | Equations (114) can reduce 20 to:
% 16.40/4.35 | (82) $false
% 16.40/4.35 |
% 16.40/4.35 |-The branch is then unsatisfiable
% 16.40/4.35 |-Branch two:
% 16.40/4.35 | (116) ~ (all_48_6_63 = 0) & organization(all_0_11_11) = all_48_6_63
% 16.40/4.35 |
% 16.40/4.35 | Applying alpha-rule on (116) yields:
% 16.40/4.35 | (117) ~ (all_48_6_63 = 0)
% 16.40/4.35 | (118) organization(all_0_11_11) = all_48_6_63
% 16.40/4.35 |
% 16.40/4.35 | Instantiating formula (35) with all_0_11_11, all_48_6_63, 0 and discharging atoms organization(all_0_11_11) = all_48_6_63, organization(all_0_11_11) = 0, yields:
% 16.40/4.35 | (107) all_48_6_63 = 0
% 16.40/4.35 |
% 16.40/4.35 | Equations (107) can reduce 117 to:
% 16.40/4.35 | (82) $false
% 16.40/4.35 |
% 16.40/4.35 |-The branch is then unsatisfiable
% 16.40/4.35 |-Branch two:
% 16.40/4.35 | (121) (all_40_0_56 = 0 | ((( ~ (all_48_0_57 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57) | ( ~ (all_48_4_61 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater(all_48_6_63, all_48_5_62) = all_48_4_61)) & (( ~ (all_48_1_58 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater(all_48_3_60, all_48_2_59) = all_48_1_58) | ( ~ (all_48_1_58 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater_or_equal(all_48_6_63, all_48_5_62) = all_48_1_58)))) & (all_0_1_1 = all_0_2_2 | ( ~ (all_48_2_59 = all_48_3_60) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60) | ( ~ (all_48_5_62 = all_48_6_63) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63))
% 16.40/4.35 |
% 16.40/4.35 | Applying alpha-rule on (121) yields:
% 16.40/4.35 | (122) all_40_0_56 = 0 | ((( ~ (all_48_0_57 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57) | ( ~ (all_48_4_61 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater(all_48_6_63, all_48_5_62) = all_48_4_61)) & (( ~ (all_48_1_58 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater(all_48_3_60, all_48_2_59) = all_48_1_58) | ( ~ (all_48_1_58 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater_or_equal(all_48_6_63, all_48_5_62) = all_48_1_58)))
% 16.40/4.35 | (123) all_0_1_1 = all_0_2_2 | ( ~ (all_48_2_59 = all_48_3_60) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60) | ( ~ (all_48_5_62 = all_48_6_63) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63)
% 16.40/4.35 |
% 16.40/4.35 +-Applying beta-rule and splitting (103), into two cases.
% 16.40/4.35 |-Branch one:
% 16.40/4.35 | (124) all_33_1_48 = 0 & capability(all_0_11_11, all_0_9_9) = all_33_3_50 & capability(all_0_11_11, all_0_10_10) = all_33_2_49 & smaller(all_33_3_50, all_33_2_49) = 0
% 16.40/4.35 |
% 16.40/4.35 | Applying alpha-rule on (124) yields:
% 16.40/4.35 | (125) all_33_1_48 = 0
% 16.40/4.35 | (126) capability(all_0_11_11, all_0_9_9) = all_33_3_50
% 16.40/4.35 | (127) capability(all_0_11_11, all_0_10_10) = all_33_2_49
% 16.40/4.35 | (128) smaller(all_33_3_50, all_33_2_49) = 0
% 16.40/4.35 |
% 16.40/4.35 | Instantiating formula (38) with all_33_2_49, all_33_3_50 and discharging atoms smaller(all_33_3_50, all_33_2_49) = 0, yields:
% 16.40/4.35 | (129) greater(all_33_2_49, all_33_3_50) = 0
% 16.40/4.35 |
% 16.40/4.35 +-Applying beta-rule and splitting (122), into two cases.
% 16.40/4.35 |-Branch one:
% 16.40/4.35 | (91) all_40_0_56 = 0
% 16.40/4.35 |
% 16.40/4.35 | Equations (91) can reduce 86 to:
% 16.40/4.35 | (82) $false
% 16.40/4.35 |
% 16.40/4.35 |-The branch is then unsatisfiable
% 16.40/4.35 |-Branch two:
% 16.40/4.35 | (86) ~ (all_40_0_56 = 0)
% 16.40/4.35 | (133) (( ~ (all_48_0_57 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57) | ( ~ (all_48_4_61 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater(all_48_6_63, all_48_5_62) = all_48_4_61)) & (( ~ (all_48_1_58 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater(all_48_3_60, all_48_2_59) = all_48_1_58) | ( ~ (all_48_1_58 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater_or_equal(all_48_6_63, all_48_5_62) = all_48_1_58))
% 16.40/4.35 |
% 16.40/4.35 | Applying alpha-rule on (133) yields:
% 16.40/4.35 | (134) ( ~ (all_48_0_57 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57) | ( ~ (all_48_4_61 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater(all_48_6_63, all_48_5_62) = all_48_4_61)
% 16.40/4.35 | (135) ( ~ (all_48_1_58 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater(all_48_3_60, all_48_2_59) = all_48_1_58) | ( ~ (all_48_1_58 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater_or_equal(all_48_6_63, all_48_5_62) = all_48_1_58)
% 16.40/4.35 |
% 16.40/4.35 +-Applying beta-rule and splitting (134), into two cases.
% 16.40/4.35 |-Branch one:
% 16.40/4.35 | (136) ~ (all_48_0_57 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57
% 16.40/4.35 |
% 16.40/4.35 | Applying alpha-rule on (136) yields:
% 16.40/4.35 | (137) ~ (all_48_0_57 = 0)
% 16.40/4.35 | (138) position(all_0_11_11, all_0_9_9) = all_48_2_59
% 16.40/4.35 | (139) position(all_0_11_11, all_0_10_10) = all_48_3_60
% 16.40/4.35 | (140) greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57
% 16.40/4.35 |
% 16.40/4.35 | Instantiating formula (73) with 0, all_33_3_50, all_33_2_49, all_0_10_10, all_0_9_9, all_0_11_11 and discharging atoms capability(all_0_11_11, all_0_9_9) = all_33_3_50, capability(all_0_11_11, all_0_10_10) = all_33_2_49, greater(all_33_2_49, all_33_3_50) = 0, yields:
% 16.40/4.35 | (141) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v0 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (v0 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (v0 = 0) & organization(all_0_11_11) = v0) | (( ~ (all_33_2_49 = all_33_3_50) | (v4 = v3 & hazard_of_mortality(all_0_11_11, all_0_9_9) = v3 & hazard_of_mortality(all_0_11_11, all_0_10_10) = v3) | ( ~ (v1 = v0) & position(all_0_11_11, all_0_9_9) = v1 & position(all_0_11_11, all_0_10_10) = v0)) & ((v5 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = v4 & hazard_of_mortality(all_0_11_11, all_0_10_10) = v3 & smaller(v3, v4) = 0) | ( ~ (v2 = 0) & position(all_0_11_11, all_0_9_9) = v1 & position(all_0_11_11, all_0_10_10) = v0 & greater_or_equal(v0, v1) = v2 & (( ~ (v5 = 0) & greater(v0, v1) = v5) | ( ~ (v5 = 0) & greater_or_equal(all_33_2_49, all_33_3_50) = v5))))))
% 16.40/4.35 |
% 16.40/4.35 | Instantiating formula (25) with all_33_3_50, all_33_2_49 and discharging atoms greater(all_33_2_49, all_33_3_50) = 0, yields:
% 16.40/4.35 | (142) greater_or_equal(all_33_2_49, all_33_3_50) = 0
% 16.40/4.35 |
% 16.40/4.35 | Instantiating formula (24) with all_48_0_57, all_48_2_59, all_48_3_60, all_0_10_10, all_0_9_9, all_0_11_11 and discharging atoms position(all_0_11_11, all_0_9_9) = all_48_2_59, position(all_0_11_11, all_0_10_10) = all_48_3_60, greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57, yields:
% 16.40/4.35 | (143) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v0 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (v0 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (v0 = 0) & organization(all_0_11_11) = v0) | (( ~ (all_48_2_59 = all_48_3_60) | (v4 = v3 & hazard_of_mortality(all_0_11_11, all_0_9_9) = v3 & hazard_of_mortality(all_0_11_11, all_0_10_10) = v3) | ( ~ (v1 = v0) & capability(all_0_11_11, all_0_9_9) = v1 & capability(all_0_11_11, all_0_10_10) = v0)) & ((v5 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = v4 & hazard_of_mortality(all_0_11_11, all_0_10_10) = v3 & smaller(v3, v4) = 0) | (( ~ (all_48_0_57 = 0) | ( ~ (v2 = 0) & capability(all_0_11_11, all_0_9_9) = v1 & capability(all_0_11_11, all_0_10_10) = v0 & greater(v0, v1) = v2)) & (( ~ (v5 = 0) & capability(all_0_11_11, all_0_9_9) = v1 & capability(all_0_11_11, all_0_10_10) = v0 & greater_or_equal(v0, v1) = v5) | ( ~ (v5 = 0) & greater(all_48_3_60, all_48_2_59) = v5))))))
% 16.40/4.36 |
% 16.40/4.36 | Instantiating formula (67) with all_48_0_57, all_48_2_59, all_48_3_60 and discharging atoms greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57, yields:
% 16.40/4.36 | (144) all_48_0_57 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_48_3_60, all_48_2_59) = v0)
% 16.40/4.36 |
% 16.40/4.36 | Instantiating (141) with all_171_0_101, all_171_1_102, all_171_2_103, all_171_3_104, all_171_4_105, all_171_5_106 yields:
% 16.40/4.36 | (145) (all_171_5_106 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_171_5_106 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (all_171_5_106 = 0) & organization(all_0_11_11) = all_171_5_106) | (( ~ (all_33_2_49 = all_33_3_50) | (all_171_1_102 = all_171_2_103 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_171_2_103 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_171_2_103) | ( ~ (all_171_4_105 = all_171_5_106) & position(all_0_11_11, all_0_9_9) = all_171_4_105 & position(all_0_11_11, all_0_10_10) = all_171_5_106)) & ((all_171_0_101 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_171_1_102 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_171_2_103 & smaller(all_171_2_103, all_171_1_102) = 0) | ( ~ (all_171_3_104 = 0) & position(all_0_11_11, all_0_9_9) = all_171_4_105 & position(all_0_11_11, all_0_10_10) = all_171_5_106 & greater_or_equal(all_171_5_106, all_171_4_105) = all_171_3_104 & (( ~ (all_171_0_101 = 0) & greater(all_171_5_106, all_171_4_105) = all_171_0_101) | ( ~ (all_171_0_101 = 0) & greater_or_equal(all_33_2_49, all_33_3_50) = all_171_0_101)))))
% 16.40/4.36 |
% 16.40/4.36 | Instantiating (143) with all_173_0_112, all_173_1_113, all_173_2_114, all_173_3_115, all_173_4_116, all_173_5_117 yields:
% 16.40/4.36 | (146) (all_173_5_117 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_173_5_117 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (all_173_5_117 = 0) & organization(all_0_11_11) = all_173_5_117) | (( ~ (all_48_2_59 = all_48_3_60) | (all_173_1_113 = all_173_2_114 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_173_2_114 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_173_2_114) | ( ~ (all_173_4_116 = all_173_5_117) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117)) & ((all_173_0_112 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_173_1_113 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_173_2_114 & smaller(all_173_2_114, all_173_1_113) = 0) | (( ~ (all_48_0_57 = 0) | ( ~ (all_173_3_115 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater(all_173_5_117, all_173_4_116) = all_173_3_115)) & (( ~ (all_173_0_112 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater_or_equal(all_173_5_117, all_173_4_116) = all_173_0_112) | ( ~ (all_173_0_112 = 0) & greater(all_48_3_60, all_48_2_59) = all_173_0_112)))))
% 16.40/4.36 |
% 16.40/4.36 +-Applying beta-rule and splitting (145), into two cases.
% 16.40/4.36 |-Branch one:
% 16.40/4.36 | (147) (all_171_5_106 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_171_5_106 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (all_171_5_106 = 0) & organization(all_0_11_11) = all_171_5_106)
% 16.40/4.36 |
% 16.40/4.36 +-Applying beta-rule and splitting (147), into two cases.
% 16.40/4.36 |-Branch one:
% 16.40/4.36 | (148) (all_171_5_106 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_171_5_106 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0)
% 16.40/4.36 |
% 16.40/4.36 +-Applying beta-rule and splitting (148), into two cases.
% 16.40/4.36 |-Branch one:
% 16.40/4.36 | (149) all_171_5_106 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0
% 16.40/4.36 |
% 16.40/4.36 | Applying alpha-rule on (149) yields:
% 16.40/4.36 | (150) all_171_5_106 = 0
% 16.40/4.36 | (108) has_immunity(all_0_11_11, all_0_9_9) = 0
% 16.40/4.36 |
% 16.40/4.36 | Instantiating formula (18) with all_0_11_11, all_0_9_9, 0, all_0_7_7 and discharging atoms has_immunity(all_0_11_11, all_0_9_9) = all_0_7_7, has_immunity(all_0_11_11, all_0_9_9) = 0, yields:
% 16.40/4.36 | (109) all_0_7_7 = 0
% 16.40/4.36 |
% 16.40/4.36 | Equations (109) can reduce 17 to:
% 16.40/4.36 | (82) $false
% 16.40/4.36 |
% 16.40/4.36 |-The branch is then unsatisfiable
% 16.40/4.36 |-Branch two:
% 16.40/4.36 | (154) all_171_5_106 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0
% 16.40/4.36 |
% 16.40/4.36 | Applying alpha-rule on (154) yields:
% 16.40/4.36 | (150) all_171_5_106 = 0
% 16.40/4.36 | (113) has_immunity(all_0_11_11, all_0_10_10) = 0
% 16.40/4.36 |
% 16.40/4.36 | Instantiating formula (18) with all_0_11_11, all_0_10_10, 0, all_0_8_8 and discharging atoms has_immunity(all_0_11_11, all_0_10_10) = all_0_8_8, has_immunity(all_0_11_11, all_0_10_10) = 0, yields:
% 16.40/4.36 | (114) all_0_8_8 = 0
% 16.40/4.36 |
% 16.40/4.36 | Equations (114) can reduce 20 to:
% 16.40/4.36 | (82) $false
% 16.40/4.36 |
% 16.40/4.36 |-The branch is then unsatisfiable
% 16.40/4.36 |-Branch two:
% 16.40/4.36 | (159) ~ (all_171_5_106 = 0) & organization(all_0_11_11) = all_171_5_106
% 16.40/4.36 |
% 16.40/4.36 | Applying alpha-rule on (159) yields:
% 16.40/4.36 | (160) ~ (all_171_5_106 = 0)
% 16.40/4.36 | (161) organization(all_0_11_11) = all_171_5_106
% 16.40/4.36 |
% 16.40/4.36 | Instantiating formula (35) with all_0_11_11, all_171_5_106, 0 and discharging atoms organization(all_0_11_11) = all_171_5_106, organization(all_0_11_11) = 0, yields:
% 16.40/4.36 | (150) all_171_5_106 = 0
% 16.40/4.36 |
% 16.40/4.36 | Equations (150) can reduce 160 to:
% 16.40/4.36 | (82) $false
% 16.40/4.36 |
% 16.40/4.36 |-The branch is then unsatisfiable
% 16.40/4.36 |-Branch two:
% 16.40/4.36 | (164) ( ~ (all_33_2_49 = all_33_3_50) | (all_171_1_102 = all_171_2_103 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_171_2_103 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_171_2_103) | ( ~ (all_171_4_105 = all_171_5_106) & position(all_0_11_11, all_0_9_9) = all_171_4_105 & position(all_0_11_11, all_0_10_10) = all_171_5_106)) & ((all_171_0_101 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_171_1_102 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_171_2_103 & smaller(all_171_2_103, all_171_1_102) = 0) | ( ~ (all_171_3_104 = 0) & position(all_0_11_11, all_0_9_9) = all_171_4_105 & position(all_0_11_11, all_0_10_10) = all_171_5_106 & greater_or_equal(all_171_5_106, all_171_4_105) = all_171_3_104 & (( ~ (all_171_0_101 = 0) & greater(all_171_5_106, all_171_4_105) = all_171_0_101) | ( ~ (all_171_0_101 = 0) & greater_or_equal(all_33_2_49, all_33_3_50) = all_171_0_101))))
% 16.40/4.36 |
% 16.40/4.36 | Applying alpha-rule on (164) yields:
% 16.40/4.36 | (165) ~ (all_33_2_49 = all_33_3_50) | (all_171_1_102 = all_171_2_103 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_171_2_103 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_171_2_103) | ( ~ (all_171_4_105 = all_171_5_106) & position(all_0_11_11, all_0_9_9) = all_171_4_105 & position(all_0_11_11, all_0_10_10) = all_171_5_106)
% 16.40/4.36 | (166) (all_171_0_101 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_171_1_102 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_171_2_103 & smaller(all_171_2_103, all_171_1_102) = 0) | ( ~ (all_171_3_104 = 0) & position(all_0_11_11, all_0_9_9) = all_171_4_105 & position(all_0_11_11, all_0_10_10) = all_171_5_106 & greater_or_equal(all_171_5_106, all_171_4_105) = all_171_3_104 & (( ~ (all_171_0_101 = 0) & greater(all_171_5_106, all_171_4_105) = all_171_0_101) | ( ~ (all_171_0_101 = 0) & greater_or_equal(all_33_2_49, all_33_3_50) = all_171_0_101)))
% 16.40/4.36 |
% 16.40/4.36 +-Applying beta-rule and splitting (144), into two cases.
% 16.40/4.36 |-Branch one:
% 16.40/4.36 | (167) all_48_0_57 = 0
% 16.40/4.36 |
% 16.40/4.36 | Equations (167) can reduce 137 to:
% 16.40/4.36 | (82) $false
% 16.40/4.36 |
% 16.40/4.36 |-The branch is then unsatisfiable
% 16.40/4.36 |-Branch two:
% 16.40/4.36 | (137) ~ (all_48_0_57 = 0)
% 16.40/4.36 | (170) ? [v0] : ( ~ (v0 = 0) & greater(all_48_3_60, all_48_2_59) = v0)
% 16.40/4.36 |
% 16.40/4.36 | Instantiating (170) with all_181_0_122 yields:
% 16.40/4.36 | (171) ~ (all_181_0_122 = 0) & greater(all_48_3_60, all_48_2_59) = all_181_0_122
% 16.40/4.36 |
% 16.40/4.36 | Applying alpha-rule on (171) yields:
% 16.40/4.36 | (172) ~ (all_181_0_122 = 0)
% 16.40/4.36 | (173) greater(all_48_3_60, all_48_2_59) = all_181_0_122
% 16.40/4.36 |
% 16.40/4.36 +-Applying beta-rule and splitting (166), into two cases.
% 16.40/4.36 |-Branch one:
% 16.40/4.36 | (174) all_171_0_101 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_171_1_102 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_171_2_103 & smaller(all_171_2_103, all_171_1_102) = 0
% 16.40/4.36 |
% 16.40/4.36 | Applying alpha-rule on (174) yields:
% 16.40/4.36 | (175) all_171_0_101 = 0
% 16.40/4.36 | (176) hazard_of_mortality(all_0_11_11, all_0_9_9) = all_171_1_102
% 16.40/4.36 | (177) hazard_of_mortality(all_0_11_11, all_0_10_10) = all_171_2_103
% 16.40/4.36 | (178) smaller(all_171_2_103, all_171_1_102) = 0
% 16.40/4.36 |
% 16.40/4.36 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_171_1_102, all_0_2_2 and discharging atoms hazard_of_mortality(all_0_11_11, all_0_9_9) = all_171_1_102, hazard_of_mortality(all_0_11_11, all_0_9_9) = all_0_2_2, yields:
% 16.40/4.36 | (179) all_171_1_102 = all_0_2_2
% 16.40/4.36 |
% 16.40/4.36 | Instantiating formula (45) with all_0_11_11, all_0_10_10, all_171_2_103, all_0_1_1 and discharging atoms hazard_of_mortality(all_0_11_11, all_0_10_10) = all_171_2_103, hazard_of_mortality(all_0_11_11, all_0_10_10) = all_0_1_1, yields:
% 16.40/4.36 | (180) all_171_2_103 = all_0_1_1
% 16.40/4.36 |
% 16.40/4.36 | From (180)(179) and (178) follows:
% 16.40/4.36 | (181) smaller(all_0_1_1, all_0_2_2) = 0
% 16.40/4.36 |
% 16.40/4.36 | Instantiating formula (31) with all_0_1_1, all_0_2_2, 0, all_40_0_56 and discharging atoms smaller(all_0_1_1, all_0_2_2) = all_40_0_56, smaller(all_0_1_1, all_0_2_2) = 0, yields:
% 16.40/4.36 | (91) all_40_0_56 = 0
% 16.40/4.36 |
% 16.40/4.36 | Equations (91) can reduce 86 to:
% 16.40/4.36 | (82) $false
% 16.40/4.36 |
% 16.40/4.36 |-The branch is then unsatisfiable
% 16.40/4.36 |-Branch two:
% 16.40/4.36 | (184) ~ (all_171_3_104 = 0) & position(all_0_11_11, all_0_9_9) = all_171_4_105 & position(all_0_11_11, all_0_10_10) = all_171_5_106 & greater_or_equal(all_171_5_106, all_171_4_105) = all_171_3_104 & (( ~ (all_171_0_101 = 0) & greater(all_171_5_106, all_171_4_105) = all_171_0_101) | ( ~ (all_171_0_101 = 0) & greater_or_equal(all_33_2_49, all_33_3_50) = all_171_0_101))
% 16.40/4.36 |
% 16.40/4.36 | Applying alpha-rule on (184) yields:
% 16.40/4.36 | (185) ( ~ (all_171_0_101 = 0) & greater(all_171_5_106, all_171_4_105) = all_171_0_101) | ( ~ (all_171_0_101 = 0) & greater_or_equal(all_33_2_49, all_33_3_50) = all_171_0_101)
% 16.40/4.36 | (186) position(all_0_11_11, all_0_9_9) = all_171_4_105
% 16.40/4.36 | (187) ~ (all_171_3_104 = 0)
% 16.40/4.36 | (188) position(all_0_11_11, all_0_10_10) = all_171_5_106
% 16.40/4.36 | (189) greater_or_equal(all_171_5_106, all_171_4_105) = all_171_3_104
% 16.40/4.36 |
% 16.40/4.36 +-Applying beta-rule and splitting (185), into two cases.
% 16.40/4.36 |-Branch one:
% 16.40/4.36 | (190) ~ (all_171_0_101 = 0) & greater(all_171_5_106, all_171_4_105) = all_171_0_101
% 16.40/4.36 |
% 16.40/4.36 | Applying alpha-rule on (190) yields:
% 16.40/4.36 | (191) ~ (all_171_0_101 = 0)
% 16.40/4.36 | (192) greater(all_171_5_106, all_171_4_105) = all_171_0_101
% 16.40/4.36 |
% 16.40/4.36 +-Applying beta-rule and splitting (135), into two cases.
% 16.40/4.36 |-Branch one:
% 16.40/4.36 | (193) ~ (all_48_1_58 = 0) & position(all_0_11_11, all_0_9_9) = all_48_2_59 & position(all_0_11_11, all_0_10_10) = all_48_3_60 & greater(all_48_3_60, all_48_2_59) = all_48_1_58
% 16.40/4.36 |
% 16.40/4.36 | Applying alpha-rule on (193) yields:
% 16.40/4.36 | (194) ~ (all_48_1_58 = 0)
% 16.40/4.36 | (138) position(all_0_11_11, all_0_9_9) = all_48_2_59
% 16.40/4.36 | (139) position(all_0_11_11, all_0_10_10) = all_48_3_60
% 16.40/4.36 | (197) greater(all_48_3_60, all_48_2_59) = all_48_1_58
% 16.40/4.36 |
% 16.40/4.36 +-Applying beta-rule and splitting (146), into two cases.
% 16.40/4.36 |-Branch one:
% 16.40/4.36 | (198) (all_173_5_117 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_173_5_117 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (all_173_5_117 = 0) & organization(all_0_11_11) = all_173_5_117)
% 16.40/4.36 |
% 16.40/4.36 +-Applying beta-rule and splitting (198), into two cases.
% 16.40/4.36 |-Branch one:
% 16.40/4.36 | (199) (all_173_5_117 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_173_5_117 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0)
% 16.40/4.37 |
% 16.40/4.37 +-Applying beta-rule and splitting (199), into two cases.
% 16.40/4.37 |-Branch one:
% 16.40/4.37 | (200) all_173_5_117 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0
% 16.40/4.37 |
% 16.40/4.37 | Applying alpha-rule on (200) yields:
% 16.40/4.37 | (201) all_173_5_117 = 0
% 16.40/4.37 | (108) has_immunity(all_0_11_11, all_0_9_9) = 0
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (18) with all_0_11_11, all_0_9_9, 0, all_0_7_7 and discharging atoms has_immunity(all_0_11_11, all_0_9_9) = all_0_7_7, has_immunity(all_0_11_11, all_0_9_9) = 0, yields:
% 16.40/4.37 | (109) all_0_7_7 = 0
% 16.40/4.37 |
% 16.40/4.37 | Equations (109) can reduce 17 to:
% 16.40/4.37 | (82) $false
% 16.40/4.37 |
% 16.40/4.37 |-The branch is then unsatisfiable
% 16.40/4.37 |-Branch two:
% 16.40/4.37 | (205) all_173_5_117 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0
% 16.40/4.37 |
% 16.40/4.37 | Applying alpha-rule on (205) yields:
% 16.40/4.37 | (201) all_173_5_117 = 0
% 16.40/4.37 | (113) has_immunity(all_0_11_11, all_0_10_10) = 0
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (18) with all_0_11_11, all_0_10_10, 0, all_0_8_8 and discharging atoms has_immunity(all_0_11_11, all_0_10_10) = all_0_8_8, has_immunity(all_0_11_11, all_0_10_10) = 0, yields:
% 16.40/4.37 | (114) all_0_8_8 = 0
% 16.40/4.37 |
% 16.40/4.37 | Equations (114) can reduce 20 to:
% 16.40/4.37 | (82) $false
% 16.40/4.37 |
% 16.40/4.37 |-The branch is then unsatisfiable
% 16.40/4.37 |-Branch two:
% 16.40/4.37 | (210) ~ (all_173_5_117 = 0) & organization(all_0_11_11) = all_173_5_117
% 16.40/4.37 |
% 16.40/4.37 | Applying alpha-rule on (210) yields:
% 16.40/4.37 | (211) ~ (all_173_5_117 = 0)
% 16.40/4.37 | (212) organization(all_0_11_11) = all_173_5_117
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (35) with all_0_11_11, all_173_5_117, 0 and discharging atoms organization(all_0_11_11) = all_173_5_117, organization(all_0_11_11) = 0, yields:
% 16.40/4.37 | (201) all_173_5_117 = 0
% 16.40/4.37 |
% 16.40/4.37 | Equations (201) can reduce 211 to:
% 16.40/4.37 | (82) $false
% 16.40/4.37 |
% 16.40/4.37 |-The branch is then unsatisfiable
% 16.40/4.37 |-Branch two:
% 16.40/4.37 | (215) ( ~ (all_48_2_59 = all_48_3_60) | (all_173_1_113 = all_173_2_114 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_173_2_114 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_173_2_114) | ( ~ (all_173_4_116 = all_173_5_117) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117)) & ((all_173_0_112 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_173_1_113 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_173_2_114 & smaller(all_173_2_114, all_173_1_113) = 0) | (( ~ (all_48_0_57 = 0) | ( ~ (all_173_3_115 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater(all_173_5_117, all_173_4_116) = all_173_3_115)) & (( ~ (all_173_0_112 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater_or_equal(all_173_5_117, all_173_4_116) = all_173_0_112) | ( ~ (all_173_0_112 = 0) & greater(all_48_3_60, all_48_2_59) = all_173_0_112))))
% 16.40/4.37 |
% 16.40/4.37 | Applying alpha-rule on (215) yields:
% 16.40/4.37 | (216) ~ (all_48_2_59 = all_48_3_60) | (all_173_1_113 = all_173_2_114 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_173_2_114 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_173_2_114) | ( ~ (all_173_4_116 = all_173_5_117) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117)
% 16.40/4.37 | (217) (all_173_0_112 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_173_1_113 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_173_2_114 & smaller(all_173_2_114, all_173_1_113) = 0) | (( ~ (all_48_0_57 = 0) | ( ~ (all_173_3_115 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater(all_173_5_117, all_173_4_116) = all_173_3_115)) & (( ~ (all_173_0_112 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater_or_equal(all_173_5_117, all_173_4_116) = all_173_0_112) | ( ~ (all_173_0_112 = 0) & greater(all_48_3_60, all_48_2_59) = all_173_0_112)))
% 16.40/4.37 |
% 16.40/4.37 +-Applying beta-rule and splitting (217), into two cases.
% 16.40/4.37 |-Branch one:
% 16.40/4.37 | (218) all_173_0_112 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_173_1_113 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_173_2_114 & smaller(all_173_2_114, all_173_1_113) = 0
% 16.40/4.37 |
% 16.40/4.37 | Applying alpha-rule on (218) yields:
% 16.40/4.37 | (219) all_173_0_112 = 0
% 16.40/4.37 | (220) hazard_of_mortality(all_0_11_11, all_0_9_9) = all_173_1_113
% 16.40/4.37 | (221) hazard_of_mortality(all_0_11_11, all_0_10_10) = all_173_2_114
% 16.40/4.37 | (222) smaller(all_173_2_114, all_173_1_113) = 0
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_173_1_113, all_0_2_2 and discharging atoms hazard_of_mortality(all_0_11_11, all_0_9_9) = all_173_1_113, hazard_of_mortality(all_0_11_11, all_0_9_9) = all_0_2_2, yields:
% 16.40/4.37 | (223) all_173_1_113 = all_0_2_2
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (45) with all_0_11_11, all_0_10_10, all_173_2_114, all_0_1_1 and discharging atoms hazard_of_mortality(all_0_11_11, all_0_10_10) = all_173_2_114, hazard_of_mortality(all_0_11_11, all_0_10_10) = all_0_1_1, yields:
% 16.40/4.37 | (224) all_173_2_114 = all_0_1_1
% 16.40/4.37 |
% 16.40/4.37 | From (224)(223) and (222) follows:
% 16.40/4.37 | (181) smaller(all_0_1_1, all_0_2_2) = 0
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (31) with all_0_1_1, all_0_2_2, 0, all_40_0_56 and discharging atoms smaller(all_0_1_1, all_0_2_2) = all_40_0_56, smaller(all_0_1_1, all_0_2_2) = 0, yields:
% 16.40/4.37 | (91) all_40_0_56 = 0
% 16.40/4.37 |
% 16.40/4.37 | Equations (91) can reduce 86 to:
% 16.40/4.37 | (82) $false
% 16.40/4.37 |
% 16.40/4.37 |-The branch is then unsatisfiable
% 16.40/4.37 |-Branch two:
% 16.40/4.37 | (228) ( ~ (all_48_0_57 = 0) | ( ~ (all_173_3_115 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater(all_173_5_117, all_173_4_116) = all_173_3_115)) & (( ~ (all_173_0_112 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater_or_equal(all_173_5_117, all_173_4_116) = all_173_0_112) | ( ~ (all_173_0_112 = 0) & greater(all_48_3_60, all_48_2_59) = all_173_0_112))
% 16.40/4.37 |
% 16.40/4.37 | Applying alpha-rule on (228) yields:
% 16.40/4.37 | (229) ~ (all_48_0_57 = 0) | ( ~ (all_173_3_115 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater(all_173_5_117, all_173_4_116) = all_173_3_115)
% 16.40/4.37 | (230) ( ~ (all_173_0_112 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater_or_equal(all_173_5_117, all_173_4_116) = all_173_0_112) | ( ~ (all_173_0_112 = 0) & greater(all_48_3_60, all_48_2_59) = all_173_0_112)
% 16.40/4.37 |
% 16.40/4.37 +-Applying beta-rule and splitting (230), into two cases.
% 16.40/4.37 |-Branch one:
% 16.40/4.37 | (231) ~ (all_173_0_112 = 0) & capability(all_0_11_11, all_0_9_9) = all_173_4_116 & capability(all_0_11_11, all_0_10_10) = all_173_5_117 & greater_or_equal(all_173_5_117, all_173_4_116) = all_173_0_112
% 16.40/4.37 |
% 16.40/4.37 | Applying alpha-rule on (231) yields:
% 16.40/4.37 | (232) ~ (all_173_0_112 = 0)
% 16.40/4.37 | (233) capability(all_0_11_11, all_0_9_9) = all_173_4_116
% 16.40/4.37 | (234) capability(all_0_11_11, all_0_10_10) = all_173_5_117
% 16.40/4.37 | (235) greater_or_equal(all_173_5_117, all_173_4_116) = all_173_0_112
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (72) with all_0_11_11, all_0_9_9, all_173_4_116, all_33_3_50 and discharging atoms capability(all_0_11_11, all_0_9_9) = all_173_4_116, capability(all_0_11_11, all_0_9_9) = all_33_3_50, yields:
% 16.40/4.37 | (236) all_173_4_116 = all_33_3_50
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (72) with all_0_11_11, all_0_10_10, all_173_5_117, all_33_2_49 and discharging atoms capability(all_0_11_11, all_0_10_10) = all_173_5_117, capability(all_0_11_11, all_0_10_10) = all_33_2_49, yields:
% 16.40/4.37 | (237) all_173_5_117 = all_33_2_49
% 16.40/4.37 |
% 16.40/4.37 | From (237)(236) and (235) follows:
% 16.40/4.37 | (238) greater_or_equal(all_33_2_49, all_33_3_50) = all_173_0_112
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (57) with all_33_2_49, all_33_3_50, all_173_0_112, 0 and discharging atoms greater_or_equal(all_33_2_49, all_33_3_50) = all_173_0_112, greater_or_equal(all_33_2_49, all_33_3_50) = 0, yields:
% 16.40/4.37 | (219) all_173_0_112 = 0
% 16.40/4.37 |
% 16.40/4.37 | Equations (219) can reduce 232 to:
% 16.40/4.37 | (82) $false
% 16.40/4.37 |
% 16.40/4.37 |-The branch is then unsatisfiable
% 16.40/4.37 |-Branch two:
% 16.40/4.37 | (241) ~ (all_173_0_112 = 0) & greater(all_48_3_60, all_48_2_59) = all_173_0_112
% 16.40/4.37 |
% 16.40/4.37 | Applying alpha-rule on (241) yields:
% 16.40/4.37 | (232) ~ (all_173_0_112 = 0)
% 16.40/4.37 | (243) greater(all_48_3_60, all_48_2_59) = all_173_0_112
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (40) with all_0_11_11, all_0_9_9, all_171_4_105, all_48_2_59 and discharging atoms position(all_0_11_11, all_0_9_9) = all_171_4_105, position(all_0_11_11, all_0_9_9) = all_48_2_59, yields:
% 16.40/4.37 | (244) all_171_4_105 = all_48_2_59
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (40) with all_0_11_11, all_0_10_10, all_171_5_106, all_48_3_60 and discharging atoms position(all_0_11_11, all_0_10_10) = all_171_5_106, position(all_0_11_11, all_0_10_10) = all_48_3_60, yields:
% 16.40/4.37 | (245) all_171_5_106 = all_48_3_60
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (53) with all_48_3_60, all_48_2_59, all_173_0_112, all_181_0_122 and discharging atoms greater(all_48_3_60, all_48_2_59) = all_181_0_122, greater(all_48_3_60, all_48_2_59) = all_173_0_112, yields:
% 16.40/4.37 | (246) all_181_0_122 = all_173_0_112
% 16.40/4.37 |
% 16.40/4.37 | Instantiating formula (53) with all_48_3_60, all_48_2_59, all_48_1_58, all_181_0_122 and discharging atoms greater(all_48_3_60, all_48_2_59) = all_181_0_122, greater(all_48_3_60, all_48_2_59) = all_48_1_58, yields:
% 16.40/4.37 | (247) all_181_0_122 = all_48_1_58
% 16.40/4.37 |
% 16.40/4.37 | Combining equations (246,247) yields a new equation:
% 16.40/4.37 | (248) all_173_0_112 = all_48_1_58
% 16.55/4.37 |
% 16.55/4.37 | Simplifying 248 yields:
% 16.55/4.37 | (249) all_173_0_112 = all_48_1_58
% 16.55/4.37 |
% 16.55/4.37 | From (244) and (186) follows:
% 16.55/4.37 | (138) position(all_0_11_11, all_0_9_9) = all_48_2_59
% 16.55/4.37 |
% 16.55/4.37 | From (245) and (188) follows:
% 16.55/4.37 | (139) position(all_0_11_11, all_0_10_10) = all_48_3_60
% 16.55/4.37 |
% 16.55/4.37 | From (245)(244) and (192) follows:
% 16.55/4.37 | (252) greater(all_48_3_60, all_48_2_59) = all_171_0_101
% 16.55/4.37 |
% 16.55/4.37 | From (249) and (243) follows:
% 16.55/4.37 | (197) greater(all_48_3_60, all_48_2_59) = all_48_1_58
% 16.55/4.37 |
% 16.55/4.37 | From (245)(244) and (189) follows:
% 16.55/4.37 | (254) greater_or_equal(all_48_3_60, all_48_2_59) = all_171_3_104
% 16.55/4.37 |
% 16.55/4.37 | Instantiating formula (53) with all_48_3_60, all_48_2_59, all_171_0_101, all_48_1_58 and discharging atoms greater(all_48_3_60, all_48_2_59) = all_171_0_101, greater(all_48_3_60, all_48_2_59) = all_48_1_58, yields:
% 16.55/4.37 | (255) all_171_0_101 = all_48_1_58
% 16.55/4.37 |
% 16.55/4.37 | Instantiating formula (57) with all_48_3_60, all_48_2_59, all_171_3_104, all_48_0_57 and discharging atoms greater_or_equal(all_48_3_60, all_48_2_59) = all_171_3_104, greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57, yields:
% 16.55/4.37 | (256) all_171_3_104 = all_48_0_57
% 16.55/4.37 |
% 16.55/4.37 | Equations (255) can reduce 191 to:
% 16.55/4.37 | (194) ~ (all_48_1_58 = 0)
% 16.55/4.37 |
% 16.55/4.37 | Equations (256) can reduce 187 to:
% 16.55/4.37 | (137) ~ (all_48_0_57 = 0)
% 16.55/4.37 |
% 16.55/4.37 | From (255) and (252) follows:
% 16.55/4.37 | (197) greater(all_48_3_60, all_48_2_59) = all_48_1_58
% 16.55/4.37 |
% 16.55/4.37 | From (256) and (254) follows:
% 16.55/4.37 | (140) greater_or_equal(all_48_3_60, all_48_2_59) = all_48_0_57
% 16.55/4.37 |
% 16.55/4.38 | Instantiating formula (60) with all_48_1_58, all_48_2_59, all_48_3_60, all_0_10_10, all_0_9_9, all_0_11_11 and discharging atoms position(all_0_11_11, all_0_9_9) = all_48_2_59, position(all_0_11_11, all_0_10_10) = all_48_3_60, greater(all_48_3_60, all_48_2_59) = all_48_1_58, yields:
% 16.55/4.38 | (261) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & organization(all_0_11_11) = v0) | ((all_48_1_58 = 0 | ( ~ (v2 = 0) & external_ties(all_0_11_11, all_0_9_9) = v1 & external_ties(all_0_11_11, all_0_10_10) = v0 & greater(v0, v1) = v2)) & (all_48_2_59 = all_48_3_60 | ( ~ (v1 = v0) & external_ties(all_0_11_11, all_0_9_9) = v1 & external_ties(all_0_11_11, all_0_10_10) = v0))))
% 16.55/4.38 |
% 16.55/4.38 | Instantiating formula (19) with all_48_1_58, all_48_3_60, all_48_2_59 and discharging atoms greater(all_48_3_60, all_48_2_59) = all_48_1_58, yields:
% 16.55/4.38 | (262) all_48_1_58 = 0 | ? [v0] : ( ~ (v0 = 0) & smaller(all_48_2_59, all_48_3_60) = v0)
% 16.55/4.38 |
% 16.55/4.38 | Instantiating formula (3) with 0, all_33_3_50, all_33_2_49, all_0_10_10, all_0_9_9, all_0_11_11 and discharging atoms capability(all_0_11_11, all_0_9_9) = all_33_3_50, capability(all_0_11_11, all_0_10_10) = all_33_2_49, greater_or_equal(all_33_2_49, all_33_3_50) = 0, yields:
% 16.55/4.38 | (263) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v0 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (v0 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (v0 = 0) & organization(all_0_11_11) = v0) | (( ~ (all_33_2_49 = all_33_3_50) | (v5 = v4 & hazard_of_mortality(all_0_11_11, all_0_9_9) = v4 & hazard_of_mortality(all_0_11_11, all_0_10_10) = v4) | ( ~ (v2 = v1) & position(all_0_11_11, all_0_9_9) = v2 & position(all_0_11_11, all_0_10_10) = v1)) & ((v6 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = v5 & hazard_of_mortality(all_0_11_11, all_0_10_10) = v4 & smaller(v4, v5) = 0) | ( ~ (v6 = 0) & position(all_0_11_11, all_0_9_9) = v2 & position(all_0_11_11, all_0_10_10) = v1 & greater(v1, v2) = v6 & (( ~ (v3 = 0) & greater_or_equal(v1, v2) = v3) | ( ~ (v0 = 0) & greater(all_33_2_49, all_33_3_50) = v0))))))
% 16.55/4.38 |
% 16.55/4.38 | Instantiating (263) with all_216_0_123, all_216_1_124, all_216_2_125, all_216_3_126, all_216_4_127, all_216_5_128, all_216_6_129 yields:
% 16.55/4.38 | (264) (all_216_6_129 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_216_6_129 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (all_216_6_129 = 0) & organization(all_0_11_11) = all_216_6_129) | (( ~ (all_33_2_49 = all_33_3_50) | (all_216_1_124 = all_216_2_125 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_216_2_125 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_216_2_125) | ( ~ (all_216_4_127 = all_216_5_128) & position(all_0_11_11, all_0_9_9) = all_216_4_127 & position(all_0_11_11, all_0_10_10) = all_216_5_128)) & ((all_216_0_123 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_216_1_124 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_216_2_125 & smaller(all_216_2_125, all_216_1_124) = 0) | ( ~ (all_216_0_123 = 0) & position(all_0_11_11, all_0_9_9) = all_216_4_127 & position(all_0_11_11, all_0_10_10) = all_216_5_128 & greater(all_216_5_128, all_216_4_127) = all_216_0_123 & (( ~ (all_216_3_126 = 0) & greater_or_equal(all_216_5_128, all_216_4_127) = all_216_3_126) | ( ~ (all_216_6_129 = 0) & greater(all_33_2_49, all_33_3_50) = all_216_6_129)))))
% 16.55/4.38 |
% 16.55/4.38 | Instantiating (261) with all_219_0_143, all_219_1_144, all_219_2_145 yields:
% 16.55/4.38 | (265) ( ~ (all_219_2_145 = 0) & organization(all_0_11_11) = all_219_2_145) | ((all_48_1_58 = 0 | ( ~ (all_219_0_143 = 0) & external_ties(all_0_11_11, all_0_9_9) = all_219_1_144 & external_ties(all_0_11_11, all_0_10_10) = all_219_2_145 & greater(all_219_2_145, all_219_1_144) = all_219_0_143)) & (all_48_2_59 = all_48_3_60 | ( ~ (all_219_1_144 = all_219_2_145) & external_ties(all_0_11_11, all_0_9_9) = all_219_1_144 & external_ties(all_0_11_11, all_0_10_10) = all_219_2_145)))
% 16.55/4.38 |
% 16.55/4.38 +-Applying beta-rule and splitting (265), into two cases.
% 16.55/4.38 |-Branch one:
% 16.55/4.38 | (266) ~ (all_219_2_145 = 0) & organization(all_0_11_11) = all_219_2_145
% 16.55/4.38 |
% 16.55/4.38 | Applying alpha-rule on (266) yields:
% 16.55/4.38 | (267) ~ (all_219_2_145 = 0)
% 16.55/4.38 | (268) organization(all_0_11_11) = all_219_2_145
% 16.55/4.38 |
% 16.55/4.38 | Instantiating formula (35) with all_0_11_11, all_219_2_145, 0 and discharging atoms organization(all_0_11_11) = all_219_2_145, organization(all_0_11_11) = 0, yields:
% 16.55/4.38 | (269) all_219_2_145 = 0
% 16.55/4.38 |
% 16.55/4.38 | Equations (269) can reduce 267 to:
% 16.55/4.38 | (82) $false
% 16.55/4.38 |
% 16.55/4.38 |-The branch is then unsatisfiable
% 16.55/4.38 |-Branch two:
% 16.55/4.38 | (271) (all_48_1_58 = 0 | ( ~ (all_219_0_143 = 0) & external_ties(all_0_11_11, all_0_9_9) = all_219_1_144 & external_ties(all_0_11_11, all_0_10_10) = all_219_2_145 & greater(all_219_2_145, all_219_1_144) = all_219_0_143)) & (all_48_2_59 = all_48_3_60 | ( ~ (all_219_1_144 = all_219_2_145) & external_ties(all_0_11_11, all_0_9_9) = all_219_1_144 & external_ties(all_0_11_11, all_0_10_10) = all_219_2_145))
% 16.55/4.38 |
% 16.55/4.38 | Applying alpha-rule on (271) yields:
% 16.55/4.38 | (272) all_48_1_58 = 0 | ( ~ (all_219_0_143 = 0) & external_ties(all_0_11_11, all_0_9_9) = all_219_1_144 & external_ties(all_0_11_11, all_0_10_10) = all_219_2_145 & greater(all_219_2_145, all_219_1_144) = all_219_0_143)
% 16.55/4.38 | (273) all_48_2_59 = all_48_3_60 | ( ~ (all_219_1_144 = all_219_2_145) & external_ties(all_0_11_11, all_0_9_9) = all_219_1_144 & external_ties(all_0_11_11, all_0_10_10) = all_219_2_145)
% 16.55/4.38 |
% 16.55/4.38 +-Applying beta-rule and splitting (262), into two cases.
% 16.55/4.38 |-Branch one:
% 16.55/4.38 | (274) all_48_1_58 = 0
% 16.55/4.38 |
% 16.55/4.38 | Equations (274) can reduce 194 to:
% 16.55/4.38 | (82) $false
% 16.55/4.38 |
% 16.55/4.38 |-The branch is then unsatisfiable
% 16.55/4.38 |-Branch two:
% 16.55/4.38 | (194) ~ (all_48_1_58 = 0)
% 16.55/4.38 | (277) ? [v0] : ( ~ (v0 = 0) & smaller(all_48_2_59, all_48_3_60) = v0)
% 16.55/4.38 |
% 16.55/4.38 +-Applying beta-rule and splitting (272), into two cases.
% 16.55/4.38 |-Branch one:
% 16.55/4.38 | (274) all_48_1_58 = 0
% 16.55/4.38 |
% 16.55/4.38 | Equations (274) can reduce 194 to:
% 16.55/4.38 | (82) $false
% 16.55/4.38 |
% 16.55/4.38 |-The branch is then unsatisfiable
% 16.55/4.38 |-Branch two:
% 16.55/4.38 | (194) ~ (all_48_1_58 = 0)
% 16.55/4.38 | (281) ~ (all_219_0_143 = 0) & external_ties(all_0_11_11, all_0_9_9) = all_219_1_144 & external_ties(all_0_11_11, all_0_10_10) = all_219_2_145 & greater(all_219_2_145, all_219_1_144) = all_219_0_143
% 16.55/4.38 |
% 16.55/4.38 | Applying alpha-rule on (281) yields:
% 16.55/4.38 | (282) ~ (all_219_0_143 = 0)
% 16.55/4.38 | (283) external_ties(all_0_11_11, all_0_9_9) = all_219_1_144
% 16.55/4.38 | (284) external_ties(all_0_11_11, all_0_10_10) = all_219_2_145
% 16.55/4.38 | (285) greater(all_219_2_145, all_219_1_144) = all_219_0_143
% 16.55/4.38 |
% 16.55/4.38 +-Applying beta-rule and splitting (264), into two cases.
% 16.55/4.38 |-Branch one:
% 16.55/4.38 | (286) (all_216_6_129 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_216_6_129 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0) | ( ~ (all_216_6_129 = 0) & organization(all_0_11_11) = all_216_6_129)
% 16.55/4.38 |
% 16.55/4.38 +-Applying beta-rule and splitting (286), into two cases.
% 16.55/4.38 |-Branch one:
% 16.55/4.38 | (287) (all_216_6_129 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0) | (all_216_6_129 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0)
% 16.55/4.38 |
% 16.55/4.38 +-Applying beta-rule and splitting (287), into two cases.
% 16.55/4.38 |-Branch one:
% 16.55/4.38 | (288) all_216_6_129 = 0 & has_immunity(all_0_11_11, all_0_9_9) = 0
% 16.55/4.38 |
% 16.55/4.38 | Applying alpha-rule on (288) yields:
% 16.55/4.38 | (289) all_216_6_129 = 0
% 16.55/4.38 | (108) has_immunity(all_0_11_11, all_0_9_9) = 0
% 16.55/4.38 |
% 16.55/4.38 | Instantiating formula (18) with all_0_11_11, all_0_9_9, 0, all_0_7_7 and discharging atoms has_immunity(all_0_11_11, all_0_9_9) = all_0_7_7, has_immunity(all_0_11_11, all_0_9_9) = 0, yields:
% 16.55/4.38 | (109) all_0_7_7 = 0
% 16.55/4.38 |
% 16.55/4.38 | Equations (109) can reduce 17 to:
% 16.55/4.38 | (82) $false
% 16.55/4.38 |
% 16.55/4.38 |-The branch is then unsatisfiable
% 16.55/4.38 |-Branch two:
% 16.55/4.38 | (293) all_216_6_129 = 0 & has_immunity(all_0_11_11, all_0_10_10) = 0
% 16.55/4.38 |
% 16.55/4.38 | Applying alpha-rule on (293) yields:
% 16.55/4.38 | (289) all_216_6_129 = 0
% 16.55/4.38 | (113) has_immunity(all_0_11_11, all_0_10_10) = 0
% 16.55/4.38 |
% 16.55/4.38 | Instantiating formula (18) with all_0_11_11, all_0_10_10, 0, all_0_8_8 and discharging atoms has_immunity(all_0_11_11, all_0_10_10) = all_0_8_8, has_immunity(all_0_11_11, all_0_10_10) = 0, yields:
% 16.55/4.38 | (114) all_0_8_8 = 0
% 16.55/4.38 |
% 16.55/4.38 | Equations (114) can reduce 20 to:
% 16.55/4.38 | (82) $false
% 16.55/4.38 |
% 16.55/4.38 |-The branch is then unsatisfiable
% 16.55/4.38 |-Branch two:
% 16.55/4.38 | (298) ~ (all_216_6_129 = 0) & organization(all_0_11_11) = all_216_6_129
% 16.55/4.38 |
% 16.55/4.38 | Applying alpha-rule on (298) yields:
% 16.55/4.38 | (299) ~ (all_216_6_129 = 0)
% 16.55/4.38 | (300) organization(all_0_11_11) = all_216_6_129
% 16.55/4.38 |
% 16.55/4.38 | Instantiating formula (35) with all_0_11_11, all_216_6_129, 0 and discharging atoms organization(all_0_11_11) = all_216_6_129, organization(all_0_11_11) = 0, yields:
% 16.55/4.38 | (289) all_216_6_129 = 0
% 16.55/4.38 |
% 16.55/4.38 | Equations (289) can reduce 299 to:
% 16.55/4.38 | (82) $false
% 16.55/4.38 |
% 16.55/4.38 |-The branch is then unsatisfiable
% 16.55/4.38 |-Branch two:
% 16.55/4.38 | (303) ( ~ (all_33_2_49 = all_33_3_50) | (all_216_1_124 = all_216_2_125 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_216_2_125 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_216_2_125) | ( ~ (all_216_4_127 = all_216_5_128) & position(all_0_11_11, all_0_9_9) = all_216_4_127 & position(all_0_11_11, all_0_10_10) = all_216_5_128)) & ((all_216_0_123 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_216_1_124 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_216_2_125 & smaller(all_216_2_125, all_216_1_124) = 0) | ( ~ (all_216_0_123 = 0) & position(all_0_11_11, all_0_9_9) = all_216_4_127 & position(all_0_11_11, all_0_10_10) = all_216_5_128 & greater(all_216_5_128, all_216_4_127) = all_216_0_123 & (( ~ (all_216_3_126 = 0) & greater_or_equal(all_216_5_128, all_216_4_127) = all_216_3_126) | ( ~ (all_216_6_129 = 0) & greater(all_33_2_49, all_33_3_50) = all_216_6_129))))
% 16.55/4.38 |
% 16.55/4.38 | Applying alpha-rule on (303) yields:
% 16.55/4.38 | (304) ~ (all_33_2_49 = all_33_3_50) | (all_216_1_124 = all_216_2_125 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_216_2_125 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_216_2_125) | ( ~ (all_216_4_127 = all_216_5_128) & position(all_0_11_11, all_0_9_9) = all_216_4_127 & position(all_0_11_11, all_0_10_10) = all_216_5_128)
% 16.55/4.38 | (305) (all_216_0_123 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_216_1_124 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_216_2_125 & smaller(all_216_2_125, all_216_1_124) = 0) | ( ~ (all_216_0_123 = 0) & position(all_0_11_11, all_0_9_9) = all_216_4_127 & position(all_0_11_11, all_0_10_10) = all_216_5_128 & greater(all_216_5_128, all_216_4_127) = all_216_0_123 & (( ~ (all_216_3_126 = 0) & greater_or_equal(all_216_5_128, all_216_4_127) = all_216_3_126) | ( ~ (all_216_6_129 = 0) & greater(all_33_2_49, all_33_3_50) = all_216_6_129)))
% 16.55/4.38 |
% 16.55/4.38 +-Applying beta-rule and splitting (305), into two cases.
% 16.55/4.38 |-Branch one:
% 16.55/4.38 | (306) all_216_0_123 = 0 & hazard_of_mortality(all_0_11_11, all_0_9_9) = all_216_1_124 & hazard_of_mortality(all_0_11_11, all_0_10_10) = all_216_2_125 & smaller(all_216_2_125, all_216_1_124) = 0
% 16.55/4.38 |
% 16.55/4.38 | Applying alpha-rule on (306) yields:
% 16.55/4.38 | (307) all_216_0_123 = 0
% 16.55/4.38 | (308) hazard_of_mortality(all_0_11_11, all_0_9_9) = all_216_1_124
% 16.55/4.38 | (309) hazard_of_mortality(all_0_11_11, all_0_10_10) = all_216_2_125
% 16.55/4.38 | (310) smaller(all_216_2_125, all_216_1_124) = 0
% 16.55/4.38 |
% 16.55/4.38 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_216_1_124, all_0_2_2 and discharging atoms hazard_of_mortality(all_0_11_11, all_0_9_9) = all_216_1_124, hazard_of_mortality(all_0_11_11, all_0_9_9) = all_0_2_2, yields:
% 16.55/4.38 | (311) all_216_1_124 = all_0_2_2
% 16.55/4.38 |
% 16.55/4.38 | Instantiating formula (45) with all_0_11_11, all_0_10_10, all_216_2_125, all_0_1_1 and discharging atoms hazard_of_mortality(all_0_11_11, all_0_10_10) = all_216_2_125, hazard_of_mortality(all_0_11_11, all_0_10_10) = all_0_1_1, yields:
% 16.55/4.39 | (312) all_216_2_125 = all_0_1_1
% 16.55/4.39 |
% 16.55/4.39 | From (312)(311) and (310) follows:
% 16.55/4.39 | (181) smaller(all_0_1_1, all_0_2_2) = 0
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (31) with all_0_1_1, all_0_2_2, 0, all_40_0_56 and discharging atoms smaller(all_0_1_1, all_0_2_2) = all_40_0_56, smaller(all_0_1_1, all_0_2_2) = 0, yields:
% 16.55/4.39 | (91) all_40_0_56 = 0
% 16.55/4.39 |
% 16.55/4.39 | Equations (91) can reduce 86 to:
% 16.55/4.39 | (82) $false
% 16.55/4.39 |
% 16.55/4.39 |-The branch is then unsatisfiable
% 16.55/4.39 |-Branch two:
% 16.55/4.39 | (316) ~ (all_216_0_123 = 0) & position(all_0_11_11, all_0_9_9) = all_216_4_127 & position(all_0_11_11, all_0_10_10) = all_216_5_128 & greater(all_216_5_128, all_216_4_127) = all_216_0_123 & (( ~ (all_216_3_126 = 0) & greater_or_equal(all_216_5_128, all_216_4_127) = all_216_3_126) | ( ~ (all_216_6_129 = 0) & greater(all_33_2_49, all_33_3_50) = all_216_6_129))
% 16.55/4.39 |
% 16.55/4.39 | Applying alpha-rule on (316) yields:
% 16.55/4.39 | (317) position(all_0_11_11, all_0_9_9) = all_216_4_127
% 16.55/4.39 | (318) ~ (all_216_0_123 = 0)
% 16.55/4.39 | (319) ( ~ (all_216_3_126 = 0) & greater_or_equal(all_216_5_128, all_216_4_127) = all_216_3_126) | ( ~ (all_216_6_129 = 0) & greater(all_33_2_49, all_33_3_50) = all_216_6_129)
% 16.55/4.39 | (320) greater(all_216_5_128, all_216_4_127) = all_216_0_123
% 16.55/4.39 | (321) position(all_0_11_11, all_0_10_10) = all_216_5_128
% 16.55/4.39 |
% 16.55/4.39 +-Applying beta-rule and splitting (319), into two cases.
% 16.55/4.39 |-Branch one:
% 16.55/4.39 | (322) ~ (all_216_3_126 = 0) & greater_or_equal(all_216_5_128, all_216_4_127) = all_216_3_126
% 16.55/4.39 |
% 16.55/4.39 | Applying alpha-rule on (322) yields:
% 16.55/4.39 | (323) ~ (all_216_3_126 = 0)
% 16.55/4.39 | (324) greater_or_equal(all_216_5_128, all_216_4_127) = all_216_3_126
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (22) with all_0_11_11, all_0_9_9, all_219_1_144, all_0_3_3 and discharging atoms external_ties(all_0_11_11, all_0_9_9) = all_219_1_144, external_ties(all_0_11_11, all_0_9_9) = all_0_3_3, yields:
% 16.55/4.39 | (325) all_219_1_144 = all_0_3_3
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (22) with all_0_11_11, all_0_10_10, all_219_2_145, all_0_3_3 and discharging atoms external_ties(all_0_11_11, all_0_10_10) = all_219_2_145, external_ties(all_0_11_11, all_0_10_10) = all_0_3_3, yields:
% 16.55/4.39 | (326) all_219_2_145 = all_0_3_3
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (40) with all_0_11_11, all_0_9_9, all_216_4_127, all_48_2_59 and discharging atoms position(all_0_11_11, all_0_9_9) = all_216_4_127, position(all_0_11_11, all_0_9_9) = all_48_2_59, yields:
% 16.55/4.39 | (327) all_216_4_127 = all_48_2_59
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (40) with all_0_11_11, all_0_10_10, all_216_5_128, all_48_3_60 and discharging atoms position(all_0_11_11, all_0_10_10) = all_216_5_128, position(all_0_11_11, all_0_10_10) = all_48_3_60, yields:
% 16.55/4.39 | (328) all_216_5_128 = all_48_3_60
% 16.55/4.39 |
% 16.55/4.39 | From (328)(327) and (324) follows:
% 16.55/4.39 | (329) greater_or_equal(all_48_3_60, all_48_2_59) = all_216_3_126
% 16.55/4.39 |
% 16.55/4.39 +-Applying beta-rule and splitting (273), into two cases.
% 16.55/4.39 |-Branch one:
% 16.55/4.39 | (330) all_48_2_59 = all_48_3_60
% 16.55/4.39 |
% 16.55/4.39 | From (330) and (329) follows:
% 16.55/4.39 | (331) greater_or_equal(all_48_3_60, all_48_3_60) = all_216_3_126
% 16.55/4.39 |
% 16.55/4.39 | From (330) and (140) follows:
% 16.55/4.39 | (332) greater_or_equal(all_48_3_60, all_48_3_60) = all_48_0_57
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (76) with all_216_3_126, all_48_3_60 and discharging atoms greater_or_equal(all_48_3_60, all_48_3_60) = all_216_3_126, yields:
% 16.55/4.39 | (333) all_216_3_126 = 0
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (57) with all_48_3_60, all_48_3_60, all_48_0_57, all_216_3_126 and discharging atoms greater_or_equal(all_48_3_60, all_48_3_60) = all_216_3_126, greater_or_equal(all_48_3_60, all_48_3_60) = all_48_0_57, yields:
% 16.55/4.39 | (334) all_216_3_126 = all_48_0_57
% 16.55/4.39 |
% 16.55/4.39 | Combining equations (334,333) yields a new equation:
% 16.55/4.39 | (335) all_48_0_57 = 0
% 16.55/4.39 |
% 16.55/4.39 | Simplifying 335 yields:
% 16.55/4.39 | (167) all_48_0_57 = 0
% 16.55/4.39 |
% 16.55/4.39 | Equations (167) can reduce 137 to:
% 16.55/4.39 | (82) $false
% 16.55/4.39 |
% 16.55/4.39 |-The branch is then unsatisfiable
% 16.55/4.39 |-Branch two:
% 16.55/4.39 | (338) ~ (all_48_2_59 = all_48_3_60)
% 16.55/4.39 | (339) ~ (all_219_1_144 = all_219_2_145) & external_ties(all_0_11_11, all_0_9_9) = all_219_1_144 & external_ties(all_0_11_11, all_0_10_10) = all_219_2_145
% 16.55/4.39 |
% 16.55/4.39 | Applying alpha-rule on (339) yields:
% 16.55/4.39 | (340) ~ (all_219_1_144 = all_219_2_145)
% 16.55/4.39 | (283) external_ties(all_0_11_11, all_0_9_9) = all_219_1_144
% 16.55/4.39 | (284) external_ties(all_0_11_11, all_0_10_10) = all_219_2_145
% 16.55/4.39 |
% 16.55/4.39 | Equations (325,326) can reduce 340 to:
% 16.55/4.39 | (82) $false
% 16.55/4.39 |
% 16.55/4.39 |-The branch is then unsatisfiable
% 16.55/4.39 |-Branch two:
% 16.55/4.39 | (344) ~ (all_216_6_129 = 0) & greater(all_33_2_49, all_33_3_50) = all_216_6_129
% 16.55/4.39 |
% 16.55/4.39 | Applying alpha-rule on (344) yields:
% 16.55/4.39 | (299) ~ (all_216_6_129 = 0)
% 16.55/4.39 | (346) greater(all_33_2_49, all_33_3_50) = all_216_6_129
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (53) with all_33_2_49, all_33_3_50, all_216_6_129, 0 and discharging atoms greater(all_33_2_49, all_33_3_50) = all_216_6_129, greater(all_33_2_49, all_33_3_50) = 0, yields:
% 16.55/4.39 | (289) all_216_6_129 = 0
% 16.55/4.39 |
% 16.55/4.39 | Equations (289) can reduce 299 to:
% 16.55/4.39 | (82) $false
% 16.55/4.39 |
% 16.55/4.39 |-The branch is then unsatisfiable
% 16.55/4.39 |-Branch two:
% 16.55/4.39 | (349) ~ (all_48_1_58 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater_or_equal(all_48_6_63, all_48_5_62) = all_48_1_58
% 16.55/4.39 |
% 16.55/4.39 | Applying alpha-rule on (349) yields:
% 16.55/4.39 | (194) ~ (all_48_1_58 = 0)
% 16.55/4.39 | (351) capability(all_0_11_11, all_0_9_9) = all_48_5_62
% 16.55/4.39 | (352) capability(all_0_11_11, all_0_10_10) = all_48_6_63
% 16.55/4.39 | (353) greater_or_equal(all_48_6_63, all_48_5_62) = all_48_1_58
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (72) with all_0_11_11, all_0_9_9, all_48_5_62, all_33_3_50 and discharging atoms capability(all_0_11_11, all_0_9_9) = all_48_5_62, capability(all_0_11_11, all_0_9_9) = all_33_3_50, yields:
% 16.55/4.39 | (354) all_48_5_62 = all_33_3_50
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (72) with all_0_11_11, all_0_10_10, all_48_6_63, all_33_2_49 and discharging atoms capability(all_0_11_11, all_0_10_10) = all_48_6_63, capability(all_0_11_11, all_0_10_10) = all_33_2_49, yields:
% 16.55/4.39 | (355) all_48_6_63 = all_33_2_49
% 16.55/4.39 |
% 16.55/4.39 | From (355)(354) and (353) follows:
% 16.55/4.39 | (356) greater_or_equal(all_33_2_49, all_33_3_50) = all_48_1_58
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (57) with all_33_2_49, all_33_3_50, all_48_1_58, 0 and discharging atoms greater_or_equal(all_33_2_49, all_33_3_50) = all_48_1_58, greater_or_equal(all_33_2_49, all_33_3_50) = 0, yields:
% 16.55/4.39 | (274) all_48_1_58 = 0
% 16.55/4.39 |
% 16.55/4.39 | Equations (274) can reduce 194 to:
% 16.55/4.39 | (82) $false
% 16.55/4.39 |
% 16.55/4.39 |-The branch is then unsatisfiable
% 16.55/4.39 |-Branch two:
% 16.55/4.39 | (359) ~ (all_171_0_101 = 0) & greater_or_equal(all_33_2_49, all_33_3_50) = all_171_0_101
% 16.55/4.39 |
% 16.55/4.39 | Applying alpha-rule on (359) yields:
% 16.55/4.39 | (191) ~ (all_171_0_101 = 0)
% 16.55/4.39 | (361) greater_or_equal(all_33_2_49, all_33_3_50) = all_171_0_101
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (57) with all_33_2_49, all_33_3_50, 0, all_171_0_101 and discharging atoms greater_or_equal(all_33_2_49, all_33_3_50) = all_171_0_101, greater_or_equal(all_33_2_49, all_33_3_50) = 0, yields:
% 16.55/4.39 | (175) all_171_0_101 = 0
% 16.55/4.39 |
% 16.55/4.39 | Equations (175) can reduce 191 to:
% 16.55/4.39 | (82) $false
% 16.55/4.39 |
% 16.55/4.39 |-The branch is then unsatisfiable
% 16.55/4.39 |-Branch two:
% 16.55/4.39 | (364) ~ (all_48_4_61 = 0) & capability(all_0_11_11, all_0_9_9) = all_48_5_62 & capability(all_0_11_11, all_0_10_10) = all_48_6_63 & greater(all_48_6_63, all_48_5_62) = all_48_4_61
% 16.55/4.39 |
% 16.55/4.39 | Applying alpha-rule on (364) yields:
% 16.55/4.39 | (365) ~ (all_48_4_61 = 0)
% 16.55/4.39 | (351) capability(all_0_11_11, all_0_9_9) = all_48_5_62
% 16.55/4.39 | (352) capability(all_0_11_11, all_0_10_10) = all_48_6_63
% 16.55/4.39 | (368) greater(all_48_6_63, all_48_5_62) = all_48_4_61
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (72) with all_0_11_11, all_0_9_9, all_48_5_62, all_33_3_50 and discharging atoms capability(all_0_11_11, all_0_9_9) = all_48_5_62, capability(all_0_11_11, all_0_9_9) = all_33_3_50, yields:
% 16.55/4.39 | (354) all_48_5_62 = all_33_3_50
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (72) with all_0_11_11, all_0_10_10, all_48_6_63, all_33_2_49 and discharging atoms capability(all_0_11_11, all_0_10_10) = all_48_6_63, capability(all_0_11_11, all_0_10_10) = all_33_2_49, yields:
% 16.55/4.39 | (355) all_48_6_63 = all_33_2_49
% 16.55/4.39 |
% 16.55/4.39 | From (355)(354) and (368) follows:
% 16.55/4.39 | (371) greater(all_33_2_49, all_33_3_50) = all_48_4_61
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (53) with all_33_2_49, all_33_3_50, all_48_4_61, 0 and discharging atoms greater(all_33_2_49, all_33_3_50) = all_48_4_61, greater(all_33_2_49, all_33_3_50) = 0, yields:
% 16.55/4.39 | (372) all_48_4_61 = 0
% 16.55/4.39 |
% 16.55/4.39 | Equations (372) can reduce 365 to:
% 16.55/4.39 | (82) $false
% 16.55/4.39 |
% 16.55/4.39 |-The branch is then unsatisfiable
% 16.55/4.39 |-Branch two:
% 16.55/4.39 | (374) ~ (all_33_1_48 = 0) & stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54 & stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53 & smaller_or_equal(all_33_7_54, all_33_6_53) = all_33_1_48
% 16.55/4.39 |
% 16.55/4.39 | Applying alpha-rule on (374) yields:
% 16.55/4.39 | (375) ~ (all_33_1_48 = 0)
% 16.55/4.39 | (376) stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54
% 16.55/4.39 | (377) stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53
% 16.55/4.39 | (378) smaller_or_equal(all_33_7_54, all_33_6_53) = all_33_1_48
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (36) with all_0_11_11, all_0_9_9, all_33_7_54, all_0_6_6 and discharging atoms stock_of_knowledge(all_0_11_11, all_0_9_9) = all_33_7_54, stock_of_knowledge(all_0_11_11, all_0_9_9) = all_0_6_6, yields:
% 16.55/4.39 | (379) all_33_7_54 = all_0_6_6
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (36) with all_0_11_11, all_0_10_10, all_33_6_53, all_0_6_6 and discharging atoms stock_of_knowledge(all_0_11_11, all_0_10_10) = all_33_6_53, stock_of_knowledge(all_0_11_11, all_0_10_10) = all_0_6_6, yields:
% 16.55/4.39 | (380) all_33_6_53 = all_0_6_6
% 16.55/4.39 |
% 16.55/4.39 | From (379)(380) and (378) follows:
% 16.55/4.39 | (381) smaller_or_equal(all_0_6_6, all_0_6_6) = all_33_1_48
% 16.55/4.39 |
% 16.55/4.39 | Instantiating formula (34) with all_33_1_48, all_0_6_6 and discharging atoms smaller_or_equal(all_0_6_6, all_0_6_6) = all_33_1_48, yields:
% 16.55/4.39 | (125) all_33_1_48 = 0
% 16.55/4.39 |
% 16.55/4.39 | Equations (125) can reduce 375 to:
% 16.55/4.39 | (82) $false
% 16.55/4.39 |
% 16.55/4.39 |-The branch is then unsatisfiable
% 16.55/4.40 % SZS output end Proof for theBenchmark
% 16.55/4.40
% 16.55/4.40 3779ms
%------------------------------------------------------------------------------