TSTP Solution File: MGT042+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT042+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.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 22:07:08 EDT 2022
% Result : Theorem 9.33s 2.76s
% Output : Proof 20.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : MGT042+1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 12:39:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.57 ____ _
% 0.18/0.57 ___ / __ \_____(_)___ ________ __________
% 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.57
% 0.18/0.57 A Theorem Prover for First-Order Logic
% 0.18/0.57 (ePrincess v.1.0)
% 0.18/0.57
% 0.18/0.57 (c) Philipp Rümmer, 2009-2015
% 0.18/0.57 (c) Peter Backeman, 2014-2015
% 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57 Bug reports to peter@backeman.se
% 0.18/0.57
% 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57
% 0.18/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.68/0.90 Prover 0: Preprocessing ...
% 2.71/1.19 Prover 0: Warning: ignoring some quantifiers
% 2.76/1.21 Prover 0: Constructing countermodel ...
% 6.20/2.05 Prover 0: gave up
% 6.20/2.05 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 6.59/2.08 Prover 1: Preprocessing ...
% 6.88/2.14 Prover 1: Constructing countermodel ...
% 7.61/2.38 Prover 1: gave up
% 7.61/2.38 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 8.05/2.41 Prover 2: Preprocessing ...
% 8.58/2.51 Prover 2: Warning: ignoring some quantifiers
% 8.58/2.52 Prover 2: Constructing countermodel ...
% 9.33/2.76 Prover 2: proved (385ms)
% 9.33/2.76
% 9.33/2.76 No countermodel exists, formula is valid
% 9.33/2.76 % SZS status Theorem for theBenchmark
% 9.33/2.76
% 9.33/2.76 Generating proof ... Warning: ignoring some quantifiers
% 18.58/4.96 found it (size 536)
% 18.58/4.96
% 18.58/4.96 % SZS output start Proof for theBenchmark
% 18.58/4.96 Assumed formulas after preprocessing and simplification:
% 18.58/4.96 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ( ~ (v15 = 0) & ~ (v4 = 0) & ~ (v3 = 0) & external_ties(v0, v2) = v10 & external_ties(v0, v1) = v11 & internal_friction(v0, v2) = v8 & internal_friction(v0, v1) = v9 & stock_of_knowledge(v0, v2) = v5 & stock_of_knowledge(v0, v1) = v6 & organization(v0) = 0 & has_immunity(v0, v2) = v4 & has_immunity(v0, v1) = v3 & hazard_of_mortality(v0, v2) = v13 & hazard_of_mortality(v0, v1) = v14 & smaller(v13, v14) = v15 & smaller_or_equal(v8, v9) = 0 & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (external_ties(v18, v20) = v21) | ~ (external_ties(v18, v19) = v22) | ~ (greater(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : (( ~ (v24 = 0) & organization(v18) = v24) | (( ~ (v23 = 0) | (v26 = 0 & position(v18, v20) = v24 & position(v18, v19) = v25 & greater(v24, v25) = 0)) & ( ~ (v22 = v21) | (v25 = v24 & position(v18, v20) = v24 & position(v18, v19) = v24))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (internal_friction(v18, v20) = v21) | ~ (internal_friction(v18, v19) = v22) | ~ (greater(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (( ~ (v24 = 0) & organization(v18) = v24) | (( ~ (v23 = 0) | (v30 = 0 & capability(v18, v20) = v28 & capability(v18, v19) = v29 & smaller(v28, v29) = 0) | ( ~ (v30 = 0) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25 & smaller_or_equal(v24, v25) = v30)) & ( ~ (v22 = v21) | (v29 = v28 & capability(v18, v20) = v28 & capability(v18, v19) = v28) | ( ~ (v25 = v24) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25)) & ((v31 = 0 & capability(v18, v20) = v28 & capability(v18, v19) = v29 & greater(v28, v29) = 0) | ( ~ (v27 = 0) & smaller_or_equal(v21, v22) = v27) | ( ~ (v26 = 0) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25 & greater(v24, v25) = v26))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (internal_friction(v18, v20) = v21) | ~ (internal_friction(v18, v19) = v22) | ~ (smaller_or_equal(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (( ~ (v24 = 0) & organization(v18) = v24) | (( ~ (v23 = 0) | (v30 = 0 & capability(v18, v20) = v27 & capability(v18, v19) = v28 & greater(v27, v28) = 0) | ( ~ (v26 = 0) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25 & greater(v24, v25) = v26)) & ( ~ (v22 = v21) | (v28 = v27 & capability(v18, v20) = v27 & capability(v18, v19) = v27) | ( ~ (v25 = v24) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25)) & ((v29 = 0 & capability(v18, v20) = v27 & capability(v18, v19) = v28 & smaller(v27, v28) = 0) | ( ~ (v29 = 0) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25 & smaller_or_equal(v24, v25) = v29) | ( ~ (v29 = 0) & greater(v21, v22) = v29))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (stock_of_knowledge(v18, v20) = v21) | ~ (stock_of_knowledge(v18, v19) = v22) | ~ (greater(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (( ~ (v24 = 0) & organization(v18) = v24) | (( ~ (v23 = 0) | (v30 = 0 & capability(v18, v20) = v27 & capability(v18, v19) = v28 & greater(v27, v28) = 0) | ( ~ (v26 = 0) & internal_friction(v18, v20) = v24 & internal_friction(v18, v19) = v25 & smaller_or_equal(v24, v25) = v26)) & ( ~ (v22 = v21) | (v28 = v27 & capability(v18, v20) = v27 & capability(v18, v19) = v27) | ( ~ (v25 = v24) & internal_friction(v18, v20) = v24 & internal_friction(v18, v19) = v25)) & ((v29 = 0 & capability(v18, v20) = v27 & capability(v18, v19) = v28 & smaller(v27, v28) = 0) | ( ~ (v29 = 0) & internal_friction(v18, v20) = v24 & internal_friction(v18, v19) = v25 & greater(v24, v25) = v29) | ( ~ (v29 = 0) & smaller_or_equal(v21, v22) = v29))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (stock_of_knowledge(v18, v20) = v21) | ~ (stock_of_knowledge(v18, v19) = v22) | ~ (smaller_or_equal(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (( ~ (v24 = 0) & organization(v18) = v24) | (( ~ (v23 = 0) | (v30 = 0 & capability(v18, v20) = v28 & capability(v18, v19) = v29 & smaller(v28, v29) = 0) | ( ~ (v30 = 0) & internal_friction(v18, v20) = v25 & internal_friction(v18, v19) = v26 & greater(v25, v26) = v30)) & ( ~ (v22 = v21) | (v29 = v28 & capability(v18, v20) = v28 & capability(v18, v19) = v28) | ( ~ (v26 = v25) & internal_friction(v18, v20) = v25 & internal_friction(v18, v19) = v26)) & ((v31 = 0 & capability(v18, v20) = v28 & capability(v18, v19) = v29 & greater(v28, v29) = 0) | ( ~ (v27 = 0) & internal_friction(v18, v20) = v25 & internal_friction(v18, v19) = v26 & smaller_or_equal(v25, v26) = v27) | ( ~ (v24 = 0) & greater(v21, v22) = v24))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (position(v18, v20) = v21) | ~ (position(v18, v19) = v22) | ~ (greater(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v24 = 0 & has_immunity(v18, v20) = 0) | (v24 = 0 & has_immunity(v18, v19) = 0) | ( ~ (v24 = 0) & organization(v18) = v24) | (( ~ (v22 = v21) | (v29 = v28 & hazard_of_mortality(v18, v20) = v28 & hazard_of_mortality(v18, v19) = v28) | ( ~ (v25 = v24) & capability(v18, v20) = v24 & capability(v18, v19) = v25)) & ((v30 = 0 & hazard_of_mortality(v18, v20) = v28 & hazard_of_mortality(v18, v19) = v29 & smaller(v28, v29) = 0) | (( ~ (v23 = 0) | ( ~ (v30 = 0) & capability(v18, v20) = v24 & capability(v18, v19) = v25 & greater_or_equal(v24, v25) = v30)) & (( ~ (v27 = 0) & greater_or_equal(v21, v22) = v27) | ( ~ (v26 = 0) & capability(v18, v20) = v24 & capability(v18, v19) = v25 & greater(v24, v25) = v26))))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (position(v18, v20) = v21) | ~ (position(v18, v19) = v22) | ~ (greater(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : (( ~ (v24 = 0) & organization(v18) = v24) | ((v23 = 0 | ( ~ (v26 = 0) & external_ties(v18, v20) = v24 & external_ties(v18, v19) = v25 & greater(v24, v25) = v26)) & (v22 = v21 | ( ~ (v25 = v24) & external_ties(v18, v20) = v24 & external_ties(v18, v19) = v25))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (position(v18, v20) = v21) | ~ (position(v18, v19) = v22) | ~ (greater_or_equal(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v24 = 0 & has_immunity(v18, v20) = 0) | (v24 = 0 & has_immunity(v18, v19) = 0) | ( ~ (v24 = 0) & organization(v18) = v24) | (( ~ (v22 = v21) | (v28 = v27 & hazard_of_mortality(v18, v20) = v27 & hazard_of_mortality(v18, v19) = v27) | ( ~ (v25 = v24) & capability(v18, v20) = v24 & capability(v18, v19) = v25)) & ((v29 = 0 & hazard_of_mortality(v18, v20) = v27 & hazard_of_mortality(v18, v19) = v28 & smaller(v27, v28) = 0) | (( ~ (v23 = 0) | ( ~ (v26 = 0) & capability(v18, v20) = v24 & capability(v18, v19) = v25 & greater(v24, v25) = v26)) & (( ~ (v29 = 0) & capability(v18, v20) = v24 & capability(v18, v19) = v25 & greater_or_equal(v24, v25) = v29) | ( ~ (v29 = 0) & greater(v21, v22) = v29))))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (capability(v18, v20) = v21) | ~ (capability(v18, v19) = v22) | ~ (greater(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (( ~ (v24 = 0) & organization(v18) = v24) | ((v23 = 0 | ( ~ (v30 = 0) & internal_friction(v18, v20) = v27 & internal_friction(v18, v19) = v28 & smaller_or_equal(v27, v28) = v30) | ( ~ (v26 = 0) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25 & greater(v24, v25) = v26)) & (v22 = v21 | ( ~ (v28 = v27) & internal_friction(v18, v20) = v27 & internal_friction(v18, v19) = v28) | ( ~ (v25 = v24) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25)) & ((v29 = 0 & smaller(v21, v22) = 0) | ( ~ (v29 = 0) & internal_friction(v18, v20) = v27 & internal_friction(v18, v19) = v28 & greater(v27, v28) = v29) | ( ~ (v29 = 0) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25 & smaller_or_equal(v24, v25) = v29))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (capability(v18, v20) = v21) | ~ (capability(v18, v19) = v22) | ~ (greater(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v24 = 0 & has_immunity(v18, v20) = 0) | (v24 = 0 & has_immunity(v18, v19) = 0) | ( ~ (v24 = 0) & organization(v18) = v24) | (( ~ (v22 = v21) | (v28 = v27 & hazard_of_mortality(v18, v20) = v27 & hazard_of_mortality(v18, v19) = v27) | ( ~ (v25 = v24) & position(v18, v20) = v24 & position(v18, v19) = v25)) & ((v29 = 0 & hazard_of_mortality(v18, v20) = v27 & hazard_of_mortality(v18, v19) = v28 & smaller(v27, v28) = 0) | (( ~ (v23 = 0) | ( ~ (v26 = 0) & position(v18, v20) = v24 & position(v18, v19) = v25 & greater_or_equal(v24, v25) = v26)) & (( ~ (v29 = 0) & position(v18, v20) = v24 & position(v18, v19) = v25 & greater(v24, v25) = v29) | ( ~ (v29 = 0) & greater_or_equal(v21, v22) = v29))))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (capability(v18, v20) = v21) | ~ (capability(v18, v19) = v22) | ~ (greater_or_equal(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v24 = 0 & has_immunity(v18, v20) = 0) | (v24 = 0 & has_immunity(v18, v19) = 0) | ( ~ (v24 = 0) & organization(v18) = v24) | (( ~ (v22 = v21) | (v29 = v28 & hazard_of_mortality(v18, v20) = v28 & hazard_of_mortality(v18, v19) = v28) | ( ~ (v26 = v25) & position(v18, v20) = v25 & position(v18, v19) = v26)) & ((v30 = 0 & hazard_of_mortality(v18, v20) = v28 & hazard_of_mortality(v18, v19) = v29 & smaller(v28, v29) = 0) | (( ~ (v23 = 0) | ( ~ (v30 = 0) & position(v18, v20) = v25 & position(v18, v19) = v26 & greater(v25, v26) = v30)) & (( ~ (v27 = 0) & position(v18, v20) = v25 & position(v18, v19) = v26 & greater_or_equal(v25, v26) = v27) | ( ~ (v24 = 0) & greater(v21, v22) = v24))))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (capability(v18, v20) = v21) | ~ (capability(v18, v19) = v22) | ~ (smaller(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (( ~ (v24 = 0) & organization(v18) = v24) | ((v23 = 0 | ( ~ (v29 = 0) & internal_friction(v18, v20) = v27 & internal_friction(v18, v19) = v28 & greater(v27, v28) = v29) | ( ~ (v29 = 0) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25 & smaller_or_equal(v24, v25) = v29)) & (v22 = v21 | ( ~ (v28 = v27) & internal_friction(v18, v20) = v27 & internal_friction(v18, v19) = v28) | ( ~ (v25 = v24) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25)) & ((v30 = 0 & greater(v21, v22) = 0) | ( ~ (v30 = 0) & internal_friction(v18, v20) = v27 & internal_friction(v18, v19) = v28 & smaller_or_equal(v27, v28) = v30) | ( ~ (v26 = 0) & stock_of_knowledge(v18, v20) = v24 & stock_of_knowledge(v18, v19) = v25 & greater(v24, v25) = v26))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hazard_of_mortality(v18, v20) = v21) | ~ (hazard_of_mortality(v18, v19) = v22) | ~ (smaller(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v24 = 0 & has_immunity(v18, v20) = 0) | (v24 = 0 & has_immunity(v18, v19) = 0) | ( ~ (v24 = 0) & organization(v18) = v24) | ((v23 = 0 | ((( ~ (v30 = 0) & position(v18, v20) = v27 & position(v18, v19) = v28 & greater_or_equal(v27, v28) = v30) | ( ~ (v26 = 0) & capability(v18, v20) = v24 & capability(v18, v19) = v25 & greater(v24, v25) = v26)) & (( ~ (v29 = 0) & position(v18, v20) = v27 & position(v18, v19) = v28 & greater(v27, v28) = v29) | ( ~ (v29 = 0) & capability(v18, v20) = v24 & capability(v18, v19) = v25 & greater_or_equal(v24, v25) = v29)))) & (v22 = v21 | ( ~ (v28 = v27) & position(v18, v20) = v27 & position(v18, v19) = v28) | ( ~ (v25 = v24) & capability(v18, v20) = v24 & capability(v18, v19) = v25))))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (greater(v19, v20) = 0) | ~ (greater(v18, v20) = v21) | ? [v22] : ( ~ (v22 = 0) & greater(v18, v19) = v22)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (greater(v18, v20) = v21) | ~ (greater(v18, v19) = 0) | ? [v22] : ( ~ (v22 = 0) & greater(v19, v20) = v22)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (external_ties(v21, v20) = v19) | ~ (external_ties(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (internal_friction(v21, v20) = v19) | ~ (internal_friction(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (stock_of_knowledge(v21, v20) = v19) | ~ (stock_of_knowledge(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (position(v21, v20) = v19) | ~ (position(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (has_immunity(v21, v20) = v19) | ~ (has_immunity(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (capability(v21, v20) = v19) | ~ (capability(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (hazard_of_mortality(v21, v20) = v19) | ~ (hazard_of_mortality(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (greater(v21, v20) = v19) | ~ (greater(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (greater_or_equal(v21, v20) = v19) | ~ (greater_or_equal(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (smaller(v21, v20) = v19) | ~ (smaller(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (smaller_or_equal(v21, v20) = v19) | ~ (smaller_or_equal(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | v19 = v18 | ~ (greater(v18, v19) = v20) | smaller(v18, v19) = 0) & ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | v19 = v18 | ~ (greater(v18, v19) = v20) | ? [v21] : ( ~ (v21 = 0) & greater_or_equal(v18, v19) = v21)) & ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | v19 = v18 | ~ (smaller(v18, v19) = v20) | greater(v18, v19) = 0) & ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | v19 = v18 | ~ (smaller(v18, v19) = v20) | ? [v21] : ( ~ (v21 = 0) & smaller_or_equal(v18, v19) = v21)) & ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (greater(v19, v18) = v20) | ? [v21] : ( ~ (v21 = 0) & smaller(v18, v19) = v21)) & ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (greater_or_equal(v18, v19) = v20) | ? [v21] : ( ~ (v21 = 0) & greater(v18, v19) = v21)) & ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (smaller(v18, v19) = v20) | ? [v21] : ( ~ (v21 = 0) & greater(v19, v18) = v21)) & ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (smaller_or_equal(v18, v19) = v20) | ? [v21] : ( ~ (v21 = 0) & smaller(v18, v19) = v21)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (organization(v20) = v19) | ~ (organization(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (greater(v19, v20) = 0) | ~ (greater(v18, v19) = 0) | greater(v18, v20) = 0) & ! [v18] : ! [v19] : (v19 = v18 | ~ (greater_or_equal(v18, v19) = 0) | greater(v18, v19) = 0) & ! [v18] : ! [v19] : (v19 = v18 | ~ (smaller_or_equal(v18, v19) = 0) | smaller(v18, v19) = 0) & ! [v18] : ! [v19] : (v19 = 0 | ~ (greater_or_equal(v18, v18) = v19)) & ! [v18] : ! [v19] : (v19 = 0 | ~ (smaller_or_equal(v18, v18) = v19)) & ! [v18] : ! [v19] : ( ~ (greater(v19, v18) = 0) | smaller(v18, v19) = 0) & ! [v18] : ! [v19] : ( ~ (greater(v19, v18) = 0) | ? [v20] : ( ~ (v20 = 0) & greater(v18, v19) = v20)) & ! [v18] : ! [v19] : ( ~ (greater(v18, v19) = 0) | greater_or_equal(v18, v19) = 0) & ! [v18] : ! [v19] : ( ~ (greater(v18, v19) = 0) | ? [v20] : ( ~ (v20 = 0) & greater(v19, v18) = v20)) & ! [v18] : ! [v19] : ( ~ (greater(v18, v18) = v19) | greater_or_equal(v18, v18) = 0) & ! [v18] : ! [v19] : ( ~ (smaller(v18, v19) = 0) | greater(v19, v18) = 0) & ! [v18] : ! [v19] : ( ~ (smaller(v18, v19) = 0) | smaller_or_equal(v18, v19) = 0) & ! [v18] : ! [v19] : ( ~ (smaller(v18, v18) = v19) | smaller_or_equal(v18, v18) = 0) & ? [v18] : ? [v19] : ? [v20] : external_ties(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : internal_friction(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : stock_of_knowledge(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : position(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : has_immunity(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : capability(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : hazard_of_mortality(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : greater(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : greater_or_equal(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : smaller(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : smaller_or_equal(v19, v18) = v20 & ? [v18] : ? [v19] : organization(v18) = v19 & ((v17 = 0 & v16 = 0 & greater(v10, v11) = 0 & greater_or_equal(v5, v6) = 0) | (v12 = 0 & v7 = 0 & greater(v5, v6) = 0 & greater_or_equal(v10, v11) = 0)))
% 19.11/5.02 | 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, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17 yields:
% 19.11/5.02 | (1) ~ (all_0_2_2 = 0) & ~ (all_0_13_13 = 0) & ~ (all_0_14_14 = 0) & external_ties(all_0_17_17, all_0_15_15) = all_0_7_7 & external_ties(all_0_17_17, all_0_16_16) = all_0_6_6 & internal_friction(all_0_17_17, all_0_15_15) = all_0_9_9 & internal_friction(all_0_17_17, all_0_16_16) = all_0_8_8 & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_0_12_12 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_0_11_11 & organization(all_0_17_17) = 0 & has_immunity(all_0_17_17, all_0_15_15) = all_0_13_13 & has_immunity(all_0_17_17, all_0_16_16) = all_0_14_14 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_0_4_4 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_0_3_3 & smaller(all_0_4_4, all_0_3_3) = all_0_2_2 & smaller_or_equal(all_0_9_9, all_0_8_8) = 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 & ((all_0_0_0 = 0 & all_0_1_1 = 0 & greater(all_0_7_7, all_0_6_6) = 0 & greater_or_equal(all_0_12_12, all_0_11_11) = 0) | (all_0_5_5 = 0 & all_0_10_10 = 0 & greater(all_0_12_12, all_0_11_11) = 0 & greater_or_equal(all_0_7_7, all_0_6_6) = 0))
% 19.22/5.05 |
% 19.22/5.05 | Applying alpha-rule on (1) yields:
% 19.22/5.05 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v11 = v10 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v10) | ( ~ (v8 = v7) & position(v0, v2) = v7 & position(v0, v1) = v8)) & ((v12 = 0 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v11 & smaller(v10, v11) = 0) | (( ~ (v5 = 0) | ( ~ (v12 = 0) & position(v0, v2) = v7 & position(v0, v1) = v8 & greater(v7, v8) = v12)) & (( ~ (v9 = 0) & position(v0, v2) = v7 & position(v0, v1) = v8 & greater_or_equal(v7, v8) = v9) | ( ~ (v6 = 0) & greater(v3, v4) = v6)))))))
% 19.22/5.05 | (3) smaller(all_0_4_4, all_0_3_3) = all_0_2_2
% 19.22/5.05 | (4) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller_or_equal(v0, v1) = v3))
% 19.22/5.05 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 19.22/5.05 | (6) (all_0_0_0 = 0 & all_0_1_1 = 0 & greater(all_0_7_7, all_0_6_6) = 0 & greater_or_equal(all_0_12_12, all_0_11_11) = 0) | (all_0_5_5 = 0 & all_0_10_10 = 0 & greater(all_0_12_12, all_0_11_11) = 0 & greater_or_equal(all_0_7_7, all_0_6_6) = 0)
% 19.22/5.05 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (internal_friction(v3, v2) = v1) | ~ (internal_friction(v3, v2) = v0))
% 19.22/5.05 | (8) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v1, v0) = v2))
% 19.22/5.05 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v8 = 0 & position(v0, v2) = v6 & position(v0, v1) = v7 & greater(v6, v7) = 0)) & ( ~ (v4 = v3) | (v7 = v6 & position(v0, v2) = v6 & position(v0, v1) = v6)))))
% 19.22/5.05 | (10) ! [v0] : ! [v1] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | smaller(v0, v1) = 0)
% 19.22/5.05 | (11) ! [v0] : ! [v1] : ( ~ (greater(v0, v0) = v1) | greater_or_equal(v0, v0) = 0)
% 19.22/5.05 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v10 = v9 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v9) | ( ~ (v7 = v6) & position(v0, v2) = v6 & position(v0, v1) = v7)) & ((v11 = 0 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v10 & smaller(v9, v10) = 0) | (( ~ (v5 = 0) | ( ~ (v8 = 0) & position(v0, v2) = v6 & position(v0, v1) = v7 & greater_or_equal(v6, v7) = v8)) & (( ~ (v11 = 0) & position(v0, v2) = v6 & position(v0, v1) = v7 & greater(v6, v7) = v11) | ( ~ (v11 = 0) & greater_or_equal(v3, v4) = v11)))))))
% 19.22/5.05 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~ (hazard_of_mortality(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ((( ~ (v12 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 & greater_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater(v6, v7) = v8)) & (( ~ (v11 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater_or_equal(v6, v7) = v11)))) & (v4 = v3 | ( ~ (v10 = v9) & position(v0, v2) = v9 & position(v0, v1) = v10) | ( ~ (v7 = v6) & capability(v0, v2) = v6 & capability(v0, v1) = v7)))))
% 19.22/5.05 | (14) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3))
% 19.22/5.05 | (15) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | greater(v1, v0) = 0)
% 19.22/5.05 | (16) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | smaller(v0, v1) = 0)
% 19.22/5.06 | (17) ~ (all_0_13_13 = 0)
% 19.22/5.06 | (18) ? [v0] : ? [v1] : ? [v2] : smaller(v1, v0) = v2
% 19.22/5.06 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0))
% 19.22/5.06 | (20) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | greater(v0, v1) = 0)
% 19.22/5.06 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | smaller(v0, v1) = 0)
% 19.22/5.06 | (22) ? [v0] : ? [v1] : ? [v2] : external_ties(v1, v0) = v2
% 19.22/5.06 | (23) ! [v0] : ! [v1] : ( ~ (smaller(v0, v0) = v1) | smaller_or_equal(v0, v0) = 0)
% 19.22/5.06 | (24) ! [v0] : ! [v1] : (v1 = 0 | ~ (smaller_or_equal(v0, v0) = v1))
% 19.22/5.06 | (25) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2))
% 19.22/5.06 | (26) ! [v0] : ! [v1] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0)
% 19.22/5.06 | (27) ? [v0] : ? [v1] : ? [v2] : internal_friction(v1, v0) = v2
% 19.22/5.06 | (28) ? [v0] : ? [v1] : ? [v2] : has_immunity(v1, v0) = v2
% 19.22/5.06 | (29) external_ties(all_0_17_17, all_0_16_16) = all_0_6_6
% 19.22/5.06 | (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)))))
% 19.22/5.06 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3, v2) = v0))
% 19.22/5.06 | (32) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | smaller_or_equal(v0, v1) = 0)
% 19.22/5.06 | (33) internal_friction(all_0_17_17, all_0_16_16) = all_0_8_8
% 19.22/5.06 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ (greater_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v10 = v9 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v9) | ( ~ (v7 = v6) & capability(v0, v2) = v6 & capability(v0, v1) = v7)) & ((v11 = 0 & hazard_of_mortality(v0, v2) = v9 & hazard_of_mortality(v0, v1) = v10 & smaller(v9, v10) = 0) | (( ~ (v5 = 0) | ( ~ (v8 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater(v6, v7) = v8)) & (( ~ (v11 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater_or_equal(v6, v7) = v11) | ( ~ (v11 = 0) & greater(v3, v4) = v11)))))))
% 19.22/5.06 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (external_ties(v3, v2) = v1) | ~ (external_ties(v3, v2) = v0))
% 19.22/5.06 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v11 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11)) & (v4 = v3 | ( ~ (v10 = v9) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v12 = 0 & greater(v3, v4) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & smaller_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)))))
% 19.22/5.06 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0) | ( ~ (v12 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v12)) & ( ~ (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v13 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, v11) = 0) | ( ~ (v9 = 0) & smaller_or_equal(v3, v4) = v9) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)))))
% 19.22/5.07 | (38) stock_of_knowledge(all_0_17_17, all_0_15_15) = all_0_12_12
% 19.22/5.07 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0))
% 19.22/5.07 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0))
% 19.22/5.07 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v6 = 0 & has_immunity(v0, v2) = 0) | (v6 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v11 = v10 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v10) | ( ~ (v7 = v6) & capability(v0, v2) = v6 & capability(v0, v1) = v7)) & ((v12 = 0 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v11 & smaller(v10, v11) = 0) | (( ~ (v5 = 0) | ( ~ (v12 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater_or_equal(v6, v7) = v12)) & (( ~ (v9 = 0) & greater_or_equal(v3, v4) = v9) | ( ~ (v8 = 0) & capability(v0, v2) = v6 & capability(v0, v1) = v7 & greater(v6, v7) = v8)))))))
% 19.22/5.07 | (42) ? [v0] : ? [v1] : organization(v0) = v1
% 19.22/5.07 | (43) has_immunity(all_0_17_17, all_0_16_16) = all_0_14_14
% 19.22/5.07 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9, v10) = 0) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)) & ( ~ (v4 = v3) | (v10 = v9 & capability(v0, v2) = v9 & capability(v0, v1) = v9) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v11 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & smaller(v9, v10) = 0) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11) | ( ~ (v11 = 0) & greater(v3, v4) = v11)))))
% 19.22/5.07 | (45) ! [v0] : ! [v1] : (v1 = 0 | ~ (greater_or_equal(v0, v0) = v1))
% 19.22/5.07 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0)
% 19.22/5.07 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0))
% 19.22/5.07 | (48) external_ties(all_0_17_17, all_0_15_15) = all_0_7_7
% 19.22/5.07 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (position(v3, v2) = v1) | ~ (position(v3, v2) = v0))
% 19.22/5.07 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = 0) | ~ (greater(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4))
% 19.22/5.07 | (51) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3))
% 19.22/5.07 | (52) stock_of_knowledge(all_0_17_17, all_0_16_16) = all_0_11_11
% 19.22/5.07 | (53) hazard_of_mortality(all_0_17_17, all_0_16_16) = all_0_3_3
% 19.22/5.07 | (54) has_immunity(all_0_17_17, all_0_15_15) = all_0_13_13
% 19.22/5.07 | (55) ~ (all_0_2_2 = 0)
% 19.22/5.07 | (56) ? [v0] : ? [v1] : ? [v2] : stock_of_knowledge(v1, v0) = v2
% 19.22/5.07 | (57) ? [v0] : ? [v1] : ? [v2] : position(v1, v0) = v2
% 19.22/5.07 | (58) ? [v0] : ? [v1] : ? [v2] : capability(v1, v0) = v2
% 19.22/5.07 | (59) smaller_or_equal(all_0_9_9, all_0_8_8) = 0
% 19.22/5.07 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0))
% 19.22/5.07 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0))
% 19.22/5.07 | (62) internal_friction(all_0_17_17, all_0_15_15) = all_0_9_9
% 19.22/5.07 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (stock_of_knowledge(v3, v2) = v1) | ~ (stock_of_knowledge(v3, v2) = v0))
% 19.22/5.07 | (64) hazard_of_mortality(all_0_17_17, all_0_15_15) = all_0_4_4
% 19.22/5.07 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & greater(v7, v8) = v12)) & ( ~ (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10) | ( ~ (v8 = v7) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8)) & ((v13 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, v11) = 0) | ( ~ (v9 = 0) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & smaller_or_equal(v7, v8) = v9) | ( ~ (v6 = 0) & greater(v3, v4) = v6)))))
% 19.22/5.07 | (66) organization(all_0_17_17) = 0
% 19.22/5.07 | (67) ? [v0] : ? [v1] : ? [v2] : greater_or_equal(v1, v0) = v2
% 19.22/5.07 | (68) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | greater_or_equal(v0, v1) = 0)
% 19.22/5.07 | (69) ~ (all_0_14_14 = 0)
% 19.22/5.08 | (70) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3))
% 19.22/5.08 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v12 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & smaller_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)) & (v4 = v3 | ( ~ (v10 = v9) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v11 = 0 & smaller(v3, v4) = 0) | ( ~ (v11 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11)))))
% 19.22/5.08 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))
% 19.22/5.08 | (73) ? [v0] : ? [v1] : ? [v2] : smaller_or_equal(v1, v0) = v2
% 19.22/5.08 | (74) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 19.22/5.08 | (75) ? [v0] : ? [v1] : ? [v2] : hazard_of_mortality(v1, v0) = v2
% 19.22/5.08 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v8 = 0) & external_ties(v0, v2) = v6 & external_ties(v0, v1) = v7 & greater(v6, v7) = v8)) & (v4 = v3 | ( ~ (v7 = v6) & external_ties(v0, v2) = v6 & external_ties(v0, v1) = v7)))))
% 19.22/5.08 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 19.22/5.08 | (78) ? [v0] : ? [v1] : ? [v2] : greater(v1, v0) = v2
% 19.22/5.08 |
% 19.22/5.08 | Instantiating formula (13) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_15_15) = all_0_4_4, hazard_of_mortality(all_0_17_17, all_0_16_16) = all_0_3_3, smaller(all_0_4_4, all_0_3_3) = all_0_2_2, yields:
% 19.22/5.08 | (79) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v0 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (v0 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (v0 = 0) & organization(all_0_17_17) = v0) | ((all_0_2_2 = 0 | ((( ~ (v6 = 0) & position(all_0_17_17, all_0_15_15) = v3 & position(all_0_17_17, all_0_16_16) = v4 & greater_or_equal(v3, v4) = v6) | ( ~ (v2 = 0) & capability(all_0_17_17, all_0_15_15) = v0 & capability(all_0_17_17, all_0_16_16) = v1 & greater(v0, v1) = v2)) & (( ~ (v5 = 0) & position(all_0_17_17, all_0_15_15) = v3 & position(all_0_17_17, all_0_16_16) = v4 & greater(v3, v4) = v5) | ( ~ (v5 = 0) & capability(all_0_17_17, all_0_15_15) = v0 & capability(all_0_17_17, all_0_16_16) = v1 & greater_or_equal(v0, v1) = v5)))) & (all_0_3_3 = all_0_4_4 | ( ~ (v4 = v3) & position(all_0_17_17, all_0_15_15) = v3 & position(all_0_17_17, all_0_16_16) = v4) | ( ~ (v1 = v0) & capability(all_0_17_17, all_0_15_15) = v0 & capability(all_0_17_17, all_0_16_16) = v1))))
% 19.22/5.08 |
% 19.22/5.08 | Instantiating formula (70) with all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms smaller(all_0_4_4, all_0_3_3) = all_0_2_2, yields:
% 19.22/5.08 | (80) all_0_2_2 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_0_3_3, all_0_4_4) = v0)
% 19.22/5.08 |
% 19.22/5.08 | Instantiating formula (44) with 0, all_0_8_8, all_0_9_9, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms internal_friction(all_0_17_17, all_0_15_15) = all_0_9_9, internal_friction(all_0_17_17, all_0_16_16) = all_0_8_8, smaller_or_equal(all_0_9_9, all_0_8_8) = 0, yields:
% 19.22/5.08 | (81) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_0_8_8 = all_0_9_9) | (v4 = v3 & capability(all_0_17_17, all_0_15_15) = v3 & capability(all_0_17_17, all_0_16_16) = v3) | ( ~ (v1 = v0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = v0 & stock_of_knowledge(all_0_17_17, all_0_16_16) = v1)) & ((v6 = 0 & capability(all_0_17_17, all_0_15_15) = v3 & capability(all_0_17_17, all_0_16_16) = v4 & greater(v3, v4) = 0) | ( ~ (v2 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = v0 & stock_of_knowledge(all_0_17_17, all_0_16_16) = v1 & greater(v0, v1) = v2)) & ((v5 = 0 & capability(all_0_17_17, all_0_15_15) = v3 & capability(all_0_17_17, all_0_16_16) = v4 & smaller(v3, v4) = 0) | ( ~ (v5 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = v0 & stock_of_knowledge(all_0_17_17, all_0_16_16) = v1 & smaller_or_equal(v0, v1) = v5) | ( ~ (v5 = 0) & greater(all_0_9_9, all_0_8_8) = v5))))
% 19.22/5.08 |
% 19.22/5.08 | Instantiating formula (10) with all_0_8_8, all_0_9_9 and discharging atoms smaller_or_equal(all_0_9_9, all_0_8_8) = 0, yields:
% 19.22/5.08 | (82) all_0_8_8 = all_0_9_9 | smaller(all_0_9_9, all_0_8_8) = 0
% 19.22/5.08 |
% 19.22/5.08 | Instantiating (81) with all_32_0_53, all_32_1_54, all_32_2_55, all_32_3_56, all_32_4_57, all_32_5_58, all_32_6_59 yields:
% 19.22/5.08 | (83) ( ~ (all_32_6_59 = 0) & organization(all_0_17_17) = all_32_6_59) | (( ~ (all_0_8_8 = all_0_9_9) | (all_32_2_55 = all_32_3_56 & capability(all_0_17_17, all_0_15_15) = all_32_3_56 & capability(all_0_17_17, all_0_16_16) = all_32_3_56) | ( ~ (all_32_5_58 = all_32_6_59) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58)) & ((all_32_0_53 = 0 & capability(all_0_17_17, all_0_15_15) = all_32_3_56 & capability(all_0_17_17, all_0_16_16) = all_32_2_55 & greater(all_32_3_56, all_32_2_55) = 0) | ( ~ (all_32_4_57 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58 & greater(all_32_6_59, all_32_5_58) = all_32_4_57)) & ((all_32_1_54 = 0 & capability(all_0_17_17, all_0_15_15) = all_32_3_56 & capability(all_0_17_17, all_0_16_16) = all_32_2_55 & smaller(all_32_3_56, all_32_2_55) = 0) | ( ~ (all_32_1_54 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58 & smaller_or_equal(all_32_6_59, all_32_5_58) = all_32_1_54) | ( ~ (all_32_1_54 = 0) & greater(all_0_9_9, all_0_8_8) = all_32_1_54)))
% 19.22/5.09 |
% 19.22/5.09 | Instantiating (79) with all_33_0_60, all_33_1_61, all_33_2_62, all_33_3_63, all_33_4_64, all_33_5_65, all_33_6_66 yields:
% 19.22/5.09 | (84) (all_33_6_66 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_33_6_66 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_33_6_66 = 0) & organization(all_0_17_17) = all_33_6_66) | ((all_0_2_2 = 0 | ((( ~ (all_33_0_60 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60) | ( ~ (all_33_4_64 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater(all_33_6_66, all_33_5_65) = all_33_4_64)) & (( ~ (all_33_1_61 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater(all_33_3_63, all_33_2_62) = all_33_1_61) | ( ~ (all_33_1_61 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater_or_equal(all_33_6_66, all_33_5_65) = all_33_1_61)))) & (all_0_3_3 = all_0_4_4 | ( ~ (all_33_2_62 = all_33_3_63) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62) | ( ~ (all_33_5_65 = all_33_6_66) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65)))
% 19.22/5.09 |
% 19.22/5.09 +-Applying beta-rule and splitting (6), into two cases.
% 19.22/5.09 |-Branch one:
% 19.22/5.09 | (85) all_0_0_0 = 0 & all_0_1_1 = 0 & greater(all_0_7_7, all_0_6_6) = 0 & greater_or_equal(all_0_12_12, all_0_11_11) = 0
% 19.22/5.09 |
% 19.22/5.09 | Applying alpha-rule on (85) yields:
% 19.22/5.09 | (86) all_0_0_0 = 0
% 19.22/5.09 | (87) all_0_1_1 = 0
% 19.22/5.09 | (88) greater(all_0_7_7, all_0_6_6) = 0
% 19.22/5.09 | (89) greater_or_equal(all_0_12_12, all_0_11_11) = 0
% 19.22/5.09 |
% 19.22/5.09 +-Applying beta-rule and splitting (80), into two cases.
% 19.22/5.09 |-Branch one:
% 19.22/5.09 | (90) all_0_2_2 = 0
% 19.22/5.09 |
% 19.22/5.09 | Equations (90) can reduce 55 to:
% 19.22/5.09 | (91) $false
% 19.22/5.09 |
% 19.22/5.09 |-The branch is then unsatisfiable
% 19.22/5.09 |-Branch two:
% 19.22/5.09 | (55) ~ (all_0_2_2 = 0)
% 19.22/5.09 | (93) ? [v0] : ( ~ (v0 = 0) & greater(all_0_3_3, all_0_4_4) = v0)
% 19.22/5.09 |
% 19.22/5.09 | Instantiating formula (9) with 0, all_0_6_6, all_0_7_7, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms external_ties(all_0_17_17, all_0_15_15) = all_0_7_7, external_ties(all_0_17_17, all_0_16_16) = all_0_6_6, greater(all_0_7_7, all_0_6_6) = 0, yields:
% 19.22/5.09 | (94) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & position(all_0_17_17, all_0_15_15) = v0 & position(all_0_17_17, all_0_16_16) = v1 & greater(v0, v1) = 0 & ( ~ (all_0_6_6 = all_0_7_7) | (v1 = v0 & position(all_0_17_17, all_0_16_16) = v0))) | ( ~ (v0 = 0) & organization(all_0_17_17) = v0))
% 19.22/5.09 |
% 19.22/5.09 | Instantiating formula (26) with all_0_11_11, all_0_12_12 and discharging atoms greater_or_equal(all_0_12_12, all_0_11_11) = 0, yields:
% 19.22/5.09 | (95) all_0_11_11 = all_0_12_12 | greater(all_0_12_12, all_0_11_11) = 0
% 19.22/5.09 |
% 19.22/5.09 | Instantiating (94) with all_50_0_69, all_50_1_70, all_50_2_71 yields:
% 19.22/5.09 | (96) (all_50_0_69 = 0 & position(all_0_17_17, all_0_15_15) = all_50_2_71 & position(all_0_17_17, all_0_16_16) = all_50_1_70 & greater(all_50_2_71, all_50_1_70) = 0 & ( ~ (all_0_6_6 = all_0_7_7) | (all_50_1_70 = all_50_2_71 & position(all_0_17_17, all_0_16_16) = all_50_2_71))) | ( ~ (all_50_2_71 = 0) & organization(all_0_17_17) = all_50_2_71)
% 19.22/5.09 |
% 19.22/5.09 +-Applying beta-rule and splitting (96), into two cases.
% 19.22/5.09 |-Branch one:
% 19.22/5.09 | (97) all_50_0_69 = 0 & position(all_0_17_17, all_0_15_15) = all_50_2_71 & position(all_0_17_17, all_0_16_16) = all_50_1_70 & greater(all_50_2_71, all_50_1_70) = 0 & ( ~ (all_0_6_6 = all_0_7_7) | (all_50_1_70 = all_50_2_71 & position(all_0_17_17, all_0_16_16) = all_50_2_71))
% 19.22/5.09 |
% 19.22/5.09 | Applying alpha-rule on (97) yields:
% 19.22/5.09 | (98) position(all_0_17_17, all_0_15_15) = all_50_2_71
% 19.22/5.09 | (99) all_50_0_69 = 0
% 19.22/5.09 | (100) position(all_0_17_17, all_0_16_16) = all_50_1_70
% 19.22/5.09 | (101) ~ (all_0_6_6 = all_0_7_7) | (all_50_1_70 = all_50_2_71 & position(all_0_17_17, all_0_16_16) = all_50_2_71)
% 19.22/5.09 | (102) greater(all_50_2_71, all_50_1_70) = 0
% 19.22/5.09 |
% 19.22/5.09 | Instantiating formula (41) with 0, all_50_1_70, all_50_2_71, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms position(all_0_17_17, all_0_15_15) = all_50_2_71, position(all_0_17_17, all_0_16_16) = all_50_1_70, greater(all_50_2_71, all_50_1_70) = 0, yields:
% 19.22/5.09 | (103) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v0 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (v0 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_50_1_70 = all_50_2_71) | (v5 = v4 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v4 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v4) | ( ~ (v1 = v0) & capability(all_0_17_17, all_0_15_15) = v0 & capability(all_0_17_17, all_0_16_16) = v1)) & ((v6 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v4 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v5 & smaller(v4, v5) = 0) | ( ~ (v6 = 0) & capability(all_0_17_17, all_0_15_15) = v0 & capability(all_0_17_17, all_0_16_16) = v1 & greater_or_equal(v0, v1) = v6 & (( ~ (v3 = 0) & greater_or_equal(all_50_2_71, all_50_1_70) = v3) | ( ~ (v2 = 0) & greater(v0, v1) = v2))))))
% 19.22/5.09 |
% 19.22/5.09 | Instantiating formula (68) with all_50_1_70, all_50_2_71 and discharging atoms greater(all_50_2_71, all_50_1_70) = 0, yields:
% 19.22/5.09 | (104) greater_or_equal(all_50_2_71, all_50_1_70) = 0
% 19.22/5.09 |
% 19.22/5.09 | Instantiating (103) with all_62_0_74, all_62_1_75, all_62_2_76, all_62_3_77, all_62_4_78, all_62_5_79, all_62_6_80 yields:
% 19.22/5.09 | (105) (all_62_6_80 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_62_6_80 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_62_6_80 = 0) & organization(all_0_17_17) = all_62_6_80) | (( ~ (all_50_1_70 = all_50_2_71) | (all_62_1_75 = all_62_2_76 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_62_2_76 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_62_2_76) | ( ~ (all_62_5_79 = all_62_6_80) & capability(all_0_17_17, all_0_15_15) = all_62_6_80 & capability(all_0_17_17, all_0_16_16) = all_62_5_79)) & ((all_62_0_74 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_62_2_76 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_62_1_75 & smaller(all_62_2_76, all_62_1_75) = 0) | ( ~ (all_62_0_74 = 0) & capability(all_0_17_17, all_0_15_15) = all_62_6_80 & capability(all_0_17_17, all_0_16_16) = all_62_5_79 & greater_or_equal(all_62_6_80, all_62_5_79) = all_62_0_74 & (( ~ (all_62_3_77 = 0) & greater_or_equal(all_50_2_71, all_50_1_70) = all_62_3_77) | ( ~ (all_62_4_78 = 0) & greater(all_62_6_80, all_62_5_79) = all_62_4_78)))))
% 19.22/5.09 |
% 19.22/5.09 +-Applying beta-rule and splitting (105), into two cases.
% 19.22/5.09 |-Branch one:
% 19.22/5.09 | (106) (all_62_6_80 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_62_6_80 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_62_6_80 = 0) & organization(all_0_17_17) = all_62_6_80)
% 19.22/5.10 |
% 19.22/5.10 +-Applying beta-rule and splitting (106), into two cases.
% 19.22/5.10 |-Branch one:
% 19.22/5.10 | (107) (all_62_6_80 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_62_6_80 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0)
% 19.22/5.10 |
% 19.22/5.10 +-Applying beta-rule and splitting (107), into two cases.
% 19.22/5.10 |-Branch one:
% 19.22/5.10 | (108) all_62_6_80 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0
% 19.22/5.10 |
% 19.22/5.10 | Applying alpha-rule on (108) yields:
% 19.22/5.10 | (109) all_62_6_80 = 0
% 19.22/5.10 | (110) has_immunity(all_0_17_17, all_0_15_15) = 0
% 19.22/5.10 |
% 19.22/5.10 | Instantiating formula (31) with all_0_17_17, all_0_15_15, 0, all_0_13_13 and discharging atoms has_immunity(all_0_17_17, all_0_15_15) = all_0_13_13, has_immunity(all_0_17_17, all_0_15_15) = 0, yields:
% 19.22/5.10 | (111) all_0_13_13 = 0
% 19.22/5.10 |
% 19.22/5.10 | Equations (111) can reduce 17 to:
% 19.22/5.10 | (91) $false
% 19.22/5.10 |
% 19.22/5.10 |-The branch is then unsatisfiable
% 19.22/5.10 |-Branch two:
% 19.22/5.10 | (113) all_62_6_80 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0
% 19.22/5.10 |
% 19.22/5.10 | Applying alpha-rule on (113) yields:
% 19.22/5.10 | (109) all_62_6_80 = 0
% 19.22/5.10 | (115) has_immunity(all_0_17_17, all_0_16_16) = 0
% 19.22/5.10 |
% 19.22/5.10 | Instantiating formula (31) with all_0_17_17, all_0_16_16, 0, all_0_14_14 and discharging atoms has_immunity(all_0_17_17, all_0_16_16) = all_0_14_14, has_immunity(all_0_17_17, all_0_16_16) = 0, yields:
% 19.22/5.10 | (116) all_0_14_14 = 0
% 19.22/5.10 |
% 19.22/5.10 | Equations (116) can reduce 69 to:
% 19.22/5.10 | (91) $false
% 19.22/5.10 |
% 19.22/5.10 |-The branch is then unsatisfiable
% 19.22/5.10 |-Branch two:
% 19.22/5.10 | (118) ~ (all_62_6_80 = 0) & organization(all_0_17_17) = all_62_6_80
% 19.22/5.10 |
% 19.22/5.10 | Applying alpha-rule on (118) yields:
% 19.22/5.10 | (119) ~ (all_62_6_80 = 0)
% 19.22/5.10 | (120) organization(all_0_17_17) = all_62_6_80
% 19.22/5.10 |
% 19.22/5.10 | Instantiating formula (77) with all_0_17_17, all_62_6_80, 0 and discharging atoms organization(all_0_17_17) = all_62_6_80, organization(all_0_17_17) = 0, yields:
% 19.22/5.10 | (109) all_62_6_80 = 0
% 19.22/5.10 |
% 19.22/5.10 | Equations (109) can reduce 119 to:
% 19.22/5.10 | (91) $false
% 19.22/5.10 |
% 19.22/5.10 |-The branch is then unsatisfiable
% 19.22/5.10 |-Branch two:
% 19.22/5.10 | (123) ( ~ (all_50_1_70 = all_50_2_71) | (all_62_1_75 = all_62_2_76 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_62_2_76 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_62_2_76) | ( ~ (all_62_5_79 = all_62_6_80) & capability(all_0_17_17, all_0_15_15) = all_62_6_80 & capability(all_0_17_17, all_0_16_16) = all_62_5_79)) & ((all_62_0_74 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_62_2_76 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_62_1_75 & smaller(all_62_2_76, all_62_1_75) = 0) | ( ~ (all_62_0_74 = 0) & capability(all_0_17_17, all_0_15_15) = all_62_6_80 & capability(all_0_17_17, all_0_16_16) = all_62_5_79 & greater_or_equal(all_62_6_80, all_62_5_79) = all_62_0_74 & (( ~ (all_62_3_77 = 0) & greater_or_equal(all_50_2_71, all_50_1_70) = all_62_3_77) | ( ~ (all_62_4_78 = 0) & greater(all_62_6_80, all_62_5_79) = all_62_4_78))))
% 19.22/5.10 |
% 19.22/5.10 | Applying alpha-rule on (123) yields:
% 19.22/5.10 | (124) ~ (all_50_1_70 = all_50_2_71) | (all_62_1_75 = all_62_2_76 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_62_2_76 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_62_2_76) | ( ~ (all_62_5_79 = all_62_6_80) & capability(all_0_17_17, all_0_15_15) = all_62_6_80 & capability(all_0_17_17, all_0_16_16) = all_62_5_79)
% 19.22/5.10 | (125) (all_62_0_74 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_62_2_76 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_62_1_75 & smaller(all_62_2_76, all_62_1_75) = 0) | ( ~ (all_62_0_74 = 0) & capability(all_0_17_17, all_0_15_15) = all_62_6_80 & capability(all_0_17_17, all_0_16_16) = all_62_5_79 & greater_or_equal(all_62_6_80, all_62_5_79) = all_62_0_74 & (( ~ (all_62_3_77 = 0) & greater_or_equal(all_50_2_71, all_50_1_70) = all_62_3_77) | ( ~ (all_62_4_78 = 0) & greater(all_62_6_80, all_62_5_79) = all_62_4_78)))
% 19.22/5.10 |
% 19.22/5.10 +-Applying beta-rule and splitting (125), into two cases.
% 19.22/5.10 |-Branch one:
% 19.22/5.10 | (126) all_62_0_74 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_62_2_76 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_62_1_75 & smaller(all_62_2_76, all_62_1_75) = 0
% 19.22/5.10 |
% 19.22/5.10 | Applying alpha-rule on (126) yields:
% 19.22/5.10 | (127) all_62_0_74 = 0
% 19.22/5.10 | (128) hazard_of_mortality(all_0_17_17, all_0_15_15) = all_62_2_76
% 19.22/5.10 | (129) hazard_of_mortality(all_0_17_17, all_0_16_16) = all_62_1_75
% 19.22/5.10 | (130) smaller(all_62_2_76, all_62_1_75) = 0
% 19.22/5.10 |
% 19.22/5.10 | Instantiating formula (60) with all_0_17_17, all_0_15_15, all_62_2_76, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_15_15) = all_62_2_76, hazard_of_mortality(all_0_17_17, all_0_15_15) = all_0_4_4, yields:
% 19.22/5.10 | (131) all_62_2_76 = all_0_4_4
% 19.22/5.10 |
% 19.22/5.10 | Instantiating formula (60) with all_0_17_17, all_0_16_16, all_62_1_75, all_0_3_3 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_16_16) = all_62_1_75, hazard_of_mortality(all_0_17_17, all_0_16_16) = all_0_3_3, yields:
% 19.22/5.10 | (132) all_62_1_75 = all_0_3_3
% 19.22/5.10 |
% 19.22/5.10 | From (131)(132) and (130) follows:
% 19.22/5.10 | (133) smaller(all_0_4_4, all_0_3_3) = 0
% 19.22/5.10 |
% 19.22/5.10 | Instantiating formula (40) with all_0_4_4, all_0_3_3, 0, all_0_2_2 and discharging atoms smaller(all_0_4_4, all_0_3_3) = all_0_2_2, smaller(all_0_4_4, all_0_3_3) = 0, yields:
% 19.22/5.10 | (90) all_0_2_2 = 0
% 19.22/5.10 |
% 19.22/5.10 | Equations (90) can reduce 55 to:
% 19.22/5.10 | (91) $false
% 19.22/5.10 |
% 19.22/5.10 |-The branch is then unsatisfiable
% 19.22/5.10 |-Branch two:
% 19.22/5.10 | (136) ~ (all_62_0_74 = 0) & capability(all_0_17_17, all_0_15_15) = all_62_6_80 & capability(all_0_17_17, all_0_16_16) = all_62_5_79 & greater_or_equal(all_62_6_80, all_62_5_79) = all_62_0_74 & (( ~ (all_62_3_77 = 0) & greater_or_equal(all_50_2_71, all_50_1_70) = all_62_3_77) | ( ~ (all_62_4_78 = 0) & greater(all_62_6_80, all_62_5_79) = all_62_4_78))
% 19.22/5.10 |
% 19.22/5.10 | Applying alpha-rule on (136) yields:
% 19.22/5.10 | (137) ( ~ (all_62_3_77 = 0) & greater_or_equal(all_50_2_71, all_50_1_70) = all_62_3_77) | ( ~ (all_62_4_78 = 0) & greater(all_62_6_80, all_62_5_79) = all_62_4_78)
% 19.22/5.10 | (138) capability(all_0_17_17, all_0_15_15) = all_62_6_80
% 19.22/5.10 | (139) capability(all_0_17_17, all_0_16_16) = all_62_5_79
% 19.22/5.10 | (140) ~ (all_62_0_74 = 0)
% 19.22/5.10 | (141) greater_or_equal(all_62_6_80, all_62_5_79) = all_62_0_74
% 19.22/5.10 |
% 19.22/5.10 +-Applying beta-rule and splitting (137), into two cases.
% 19.22/5.10 |-Branch one:
% 19.22/5.10 | (142) ~ (all_62_3_77 = 0) & greater_or_equal(all_50_2_71, all_50_1_70) = all_62_3_77
% 19.22/5.10 |
% 19.22/5.10 | Applying alpha-rule on (142) yields:
% 19.22/5.10 | (143) ~ (all_62_3_77 = 0)
% 19.22/5.10 | (144) greater_or_equal(all_50_2_71, all_50_1_70) = all_62_3_77
% 19.22/5.10 |
% 19.22/5.10 | Instantiating formula (61) with all_50_2_71, all_50_1_70, 0, all_62_3_77 and discharging atoms greater_or_equal(all_50_2_71, all_50_1_70) = all_62_3_77, greater_or_equal(all_50_2_71, all_50_1_70) = 0, yields:
% 19.22/5.10 | (145) all_62_3_77 = 0
% 19.22/5.10 |
% 19.22/5.10 | Equations (145) can reduce 143 to:
% 19.22/5.10 | (91) $false
% 19.22/5.10 |
% 19.22/5.10 |-The branch is then unsatisfiable
% 19.22/5.10 |-Branch two:
% 19.22/5.10 | (147) ~ (all_62_4_78 = 0) & greater(all_62_6_80, all_62_5_79) = all_62_4_78
% 19.22/5.10 |
% 19.22/5.10 | Applying alpha-rule on (147) yields:
% 19.22/5.10 | (148) ~ (all_62_4_78 = 0)
% 19.22/5.10 | (149) greater(all_62_6_80, all_62_5_79) = all_62_4_78
% 19.22/5.10 |
% 19.22/5.10 | Instantiating formula (71) with all_62_4_78, all_62_5_79, all_62_6_80, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_62_6_80, capability(all_0_17_17, all_0_16_16) = all_62_5_79, greater(all_62_6_80, all_62_5_79) = all_62_4_78, yields:
% 19.22/5.10 | (150) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v0 = 0) & organization(all_0_17_17) = v0) | ((all_62_4_78 = 0 | ( ~ (v6 = 0) & internal_friction(all_0_17_17, all_0_15_15) = v3 & internal_friction(all_0_17_17, all_0_16_16) = v4 & smaller_or_equal(v3, v4) = v6) | ( ~ (v2 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = v0 & stock_of_knowledge(all_0_17_17, all_0_16_16) = v1 & greater(v0, v1) = v2)) & (all_62_5_79 = all_62_6_80 | ( ~ (v4 = v3) & internal_friction(all_0_17_17, all_0_15_15) = v3 & internal_friction(all_0_17_17, all_0_16_16) = v4) | ( ~ (v1 = v0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = v0 & stock_of_knowledge(all_0_17_17, all_0_16_16) = v1)) & ((v5 = 0 & smaller(all_62_6_80, all_62_5_79) = 0) | ( ~ (v5 = 0) & internal_friction(all_0_17_17, all_0_15_15) = v3 & internal_friction(all_0_17_17, all_0_16_16) = v4 & greater(v3, v4) = v5) | ( ~ (v5 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = v0 & stock_of_knowledge(all_0_17_17, all_0_16_16) = v1 & smaller_or_equal(v0, v1) = v5))))
% 19.22/5.11 |
% 19.22/5.11 | Instantiating formula (12) with all_62_4_78, all_62_5_79, all_62_6_80, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_62_6_80, capability(all_0_17_17, all_0_16_16) = all_62_5_79, greater(all_62_6_80, all_62_5_79) = all_62_4_78, yields:
% 19.22/5.11 | (151) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v0 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (v0 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_62_5_79 = all_62_6_80) | (v4 = v3 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v3 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v3) | ( ~ (v1 = v0) & position(all_0_17_17, all_0_15_15) = v0 & position(all_0_17_17, all_0_16_16) = v1)) & ((v5 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v3 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v4 & smaller(v3, v4) = 0) | (( ~ (all_62_4_78 = 0) | ( ~ (v2 = 0) & position(all_0_17_17, all_0_15_15) = v0 & position(all_0_17_17, all_0_16_16) = v1 & greater_or_equal(v0, v1) = v2)) & (( ~ (v5 = 0) & position(all_0_17_17, all_0_15_15) = v0 & position(all_0_17_17, all_0_16_16) = v1 & greater(v0, v1) = v5) | ( ~ (v5 = 0) & greater_or_equal(all_62_6_80, all_62_5_79) = v5))))))
% 19.22/5.11 |
% 19.22/5.11 | Instantiating formula (5) with all_62_4_78, all_62_6_80, all_62_5_79 and discharging atoms greater(all_62_6_80, all_62_5_79) = all_62_4_78, yields:
% 19.22/5.11 | (152) all_62_4_78 = 0 | ? [v0] : ( ~ (v0 = 0) & smaller(all_62_5_79, all_62_6_80) = v0)
% 19.22/5.11 |
% 19.22/5.11 | Instantiating formula (34) with 0, all_50_1_70, all_50_2_71, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms position(all_0_17_17, all_0_15_15) = all_50_2_71, position(all_0_17_17, all_0_16_16) = all_50_1_70, greater_or_equal(all_50_2_71, all_50_1_70) = 0, yields:
% 19.22/5.11 | (153) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v0 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (v0 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_50_1_70 = all_50_2_71) | (v4 = v3 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v3 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v3) | ( ~ (v1 = v0) & capability(all_0_17_17, all_0_15_15) = v0 & capability(all_0_17_17, all_0_16_16) = v1)) & ((v5 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v3 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v4 & smaller(v3, v4) = 0) | ( ~ (v2 = 0) & capability(all_0_17_17, all_0_15_15) = v0 & capability(all_0_17_17, all_0_16_16) = v1 & greater(v0, v1) = v2 & (( ~ (v5 = 0) & greater(all_50_2_71, all_50_1_70) = v5) | ( ~ (v5 = 0) & greater_or_equal(v0, v1) = v5))))))
% 19.22/5.11 |
% 19.22/5.11 | Instantiating (153) with all_88_0_91, all_88_1_92, all_88_2_93, all_88_3_94, all_88_4_95, all_88_5_96 yields:
% 19.22/5.11 | (154) (all_88_5_96 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_88_5_96 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_88_5_96 = 0) & organization(all_0_17_17) = all_88_5_96) | (( ~ (all_50_1_70 = all_50_2_71) | (all_88_1_92 = all_88_2_93 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_88_2_93 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_88_2_93) | ( ~ (all_88_4_95 = all_88_5_96) & capability(all_0_17_17, all_0_15_15) = all_88_5_96 & capability(all_0_17_17, all_0_16_16) = all_88_4_95)) & ((all_88_0_91 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_88_2_93 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_88_1_92 & smaller(all_88_2_93, all_88_1_92) = 0) | ( ~ (all_88_3_94 = 0) & capability(all_0_17_17, all_0_15_15) = all_88_5_96 & capability(all_0_17_17, all_0_16_16) = all_88_4_95 & greater(all_88_5_96, all_88_4_95) = all_88_3_94 & (( ~ (all_88_0_91 = 0) & greater(all_50_2_71, all_50_1_70) = all_88_0_91) | ( ~ (all_88_0_91 = 0) & greater_or_equal(all_88_5_96, all_88_4_95) = all_88_0_91)))))
% 19.22/5.11 |
% 19.22/5.11 | Instantiating (151) with all_92_0_114, all_92_1_115, all_92_2_116, all_92_3_117, all_92_4_118, all_92_5_119 yields:
% 19.22/5.11 | (155) (all_92_5_119 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_92_5_119 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_92_5_119 = 0) & organization(all_0_17_17) = all_92_5_119) | (( ~ (all_62_5_79 = all_62_6_80) | (all_92_1_115 = all_92_2_116 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_92_2_116 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_92_2_116) | ( ~ (all_92_4_118 = all_92_5_119) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118)) & ((all_92_0_114 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_92_2_116 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_92_1_115 & smaller(all_92_2_116, all_92_1_115) = 0) | (( ~ (all_62_4_78 = 0) | ( ~ (all_92_3_117 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater_or_equal(all_92_5_119, all_92_4_118) = all_92_3_117)) & (( ~ (all_92_0_114 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater(all_92_5_119, all_92_4_118) = all_92_0_114) | ( ~ (all_92_0_114 = 0) & greater_or_equal(all_62_6_80, all_62_5_79) = all_92_0_114)))))
% 19.22/5.11 |
% 19.22/5.11 | Instantiating (150) with all_93_0_120, all_93_1_121, all_93_2_122, all_93_3_123, all_93_4_124, all_93_5_125, all_93_6_126 yields:
% 19.22/5.11 | (156) ( ~ (all_93_6_126 = 0) & organization(all_0_17_17) = all_93_6_126) | ((all_62_4_78 = 0 | ( ~ (all_93_0_120 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122 & smaller_or_equal(all_93_3_123, all_93_2_122) = all_93_0_120) | ( ~ (all_93_4_124 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125 & greater(all_93_6_126, all_93_5_125) = all_93_4_124)) & (all_62_5_79 = all_62_6_80 | ( ~ (all_93_2_122 = all_93_3_123) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122) | ( ~ (all_93_5_125 = all_93_6_126) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125)) & ((all_93_1_121 = 0 & smaller(all_62_6_80, all_62_5_79) = 0) | ( ~ (all_93_1_121 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122 & greater(all_93_3_123, all_93_2_122) = all_93_1_121) | ( ~ (all_93_1_121 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125 & smaller_or_equal(all_93_6_126, all_93_5_125) = all_93_1_121)))
% 19.22/5.11 |
% 19.22/5.11 +-Applying beta-rule and splitting (152), into two cases.
% 19.22/5.11 |-Branch one:
% 19.22/5.11 | (157) all_62_4_78 = 0
% 19.22/5.11 |
% 19.22/5.11 | Equations (157) can reduce 148 to:
% 19.22/5.11 | (91) $false
% 19.22/5.11 |
% 19.22/5.11 |-The branch is then unsatisfiable
% 19.22/5.11 |-Branch two:
% 19.22/5.11 | (148) ~ (all_62_4_78 = 0)
% 19.22/5.11 | (160) ? [v0] : ( ~ (v0 = 0) & smaller(all_62_5_79, all_62_6_80) = v0)
% 19.22/5.11 |
% 19.22/5.11 | Instantiating (160) with all_103_0_129 yields:
% 19.22/5.11 | (161) ~ (all_103_0_129 = 0) & smaller(all_62_5_79, all_62_6_80) = all_103_0_129
% 19.22/5.11 |
% 19.22/5.11 | Applying alpha-rule on (161) yields:
% 19.22/5.11 | (162) ~ (all_103_0_129 = 0)
% 19.22/5.11 | (163) smaller(all_62_5_79, all_62_6_80) = all_103_0_129
% 19.22/5.11 |
% 19.22/5.11 +-Applying beta-rule and splitting (155), into two cases.
% 19.22/5.11 |-Branch one:
% 19.22/5.11 | (164) (all_92_5_119 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_92_5_119 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_92_5_119 = 0) & organization(all_0_17_17) = all_92_5_119)
% 19.22/5.11 |
% 19.22/5.11 +-Applying beta-rule and splitting (164), into two cases.
% 19.22/5.11 |-Branch one:
% 19.22/5.11 | (165) (all_92_5_119 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_92_5_119 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0)
% 19.22/5.11 |
% 19.22/5.11 +-Applying beta-rule and splitting (165), into two cases.
% 19.22/5.11 |-Branch one:
% 19.22/5.11 | (166) all_92_5_119 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0
% 19.22/5.11 |
% 19.22/5.11 | Applying alpha-rule on (166) yields:
% 19.22/5.11 | (167) all_92_5_119 = 0
% 19.22/5.11 | (110) has_immunity(all_0_17_17, all_0_15_15) = 0
% 19.22/5.11 |
% 19.22/5.11 | Instantiating formula (31) with all_0_17_17, all_0_15_15, 0, all_0_13_13 and discharging atoms has_immunity(all_0_17_17, all_0_15_15) = all_0_13_13, has_immunity(all_0_17_17, all_0_15_15) = 0, yields:
% 19.22/5.11 | (111) all_0_13_13 = 0
% 19.22/5.11 |
% 19.22/5.11 | Equations (111) can reduce 17 to:
% 19.22/5.11 | (91) $false
% 19.22/5.11 |
% 19.22/5.11 |-The branch is then unsatisfiable
% 19.22/5.11 |-Branch two:
% 19.22/5.12 | (171) all_92_5_119 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0
% 19.22/5.12 |
% 19.22/5.12 | Applying alpha-rule on (171) yields:
% 19.22/5.12 | (167) all_92_5_119 = 0
% 19.22/5.12 | (115) has_immunity(all_0_17_17, all_0_16_16) = 0
% 19.22/5.12 |
% 19.22/5.12 | Instantiating formula (31) with all_0_17_17, all_0_16_16, 0, all_0_14_14 and discharging atoms has_immunity(all_0_17_17, all_0_16_16) = all_0_14_14, has_immunity(all_0_17_17, all_0_16_16) = 0, yields:
% 19.22/5.12 | (116) all_0_14_14 = 0
% 19.22/5.12 |
% 19.22/5.12 | Equations (116) can reduce 69 to:
% 19.22/5.12 | (91) $false
% 19.22/5.12 |
% 19.22/5.12 |-The branch is then unsatisfiable
% 19.22/5.12 |-Branch two:
% 19.22/5.12 | (176) ~ (all_92_5_119 = 0) & organization(all_0_17_17) = all_92_5_119
% 19.22/5.12 |
% 19.22/5.12 | Applying alpha-rule on (176) yields:
% 19.22/5.12 | (177) ~ (all_92_5_119 = 0)
% 19.22/5.12 | (178) organization(all_0_17_17) = all_92_5_119
% 19.22/5.12 |
% 19.22/5.12 | Instantiating formula (77) with all_0_17_17, all_92_5_119, 0 and discharging atoms organization(all_0_17_17) = all_92_5_119, organization(all_0_17_17) = 0, yields:
% 19.22/5.12 | (167) all_92_5_119 = 0
% 19.22/5.12 |
% 19.22/5.12 | Equations (167) can reduce 177 to:
% 19.22/5.12 | (91) $false
% 19.22/5.12 |
% 19.22/5.12 |-The branch is then unsatisfiable
% 19.22/5.12 |-Branch two:
% 19.22/5.12 | (181) ( ~ (all_62_5_79 = all_62_6_80) | (all_92_1_115 = all_92_2_116 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_92_2_116 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_92_2_116) | ( ~ (all_92_4_118 = all_92_5_119) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118)) & ((all_92_0_114 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_92_2_116 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_92_1_115 & smaller(all_92_2_116, all_92_1_115) = 0) | (( ~ (all_62_4_78 = 0) | ( ~ (all_92_3_117 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater_or_equal(all_92_5_119, all_92_4_118) = all_92_3_117)) & (( ~ (all_92_0_114 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater(all_92_5_119, all_92_4_118) = all_92_0_114) | ( ~ (all_92_0_114 = 0) & greater_or_equal(all_62_6_80, all_62_5_79) = all_92_0_114))))
% 19.22/5.12 |
% 19.22/5.12 | Applying alpha-rule on (181) yields:
% 19.22/5.12 | (182) ~ (all_62_5_79 = all_62_6_80) | (all_92_1_115 = all_92_2_116 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_92_2_116 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_92_2_116) | ( ~ (all_92_4_118 = all_92_5_119) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118)
% 19.22/5.12 | (183) (all_92_0_114 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_92_2_116 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_92_1_115 & smaller(all_92_2_116, all_92_1_115) = 0) | (( ~ (all_62_4_78 = 0) | ( ~ (all_92_3_117 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater_or_equal(all_92_5_119, all_92_4_118) = all_92_3_117)) & (( ~ (all_92_0_114 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater(all_92_5_119, all_92_4_118) = all_92_0_114) | ( ~ (all_92_0_114 = 0) & greater_or_equal(all_62_6_80, all_62_5_79) = all_92_0_114)))
% 19.22/5.12 |
% 19.22/5.12 +-Applying beta-rule and splitting (183), into two cases.
% 19.22/5.12 |-Branch one:
% 19.22/5.12 | (184) all_92_0_114 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_92_2_116 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_92_1_115 & smaller(all_92_2_116, all_92_1_115) = 0
% 19.22/5.12 |
% 19.22/5.12 | Applying alpha-rule on (184) yields:
% 19.22/5.12 | (185) all_92_0_114 = 0
% 19.22/5.12 | (186) hazard_of_mortality(all_0_17_17, all_0_15_15) = all_92_2_116
% 19.22/5.12 | (187) hazard_of_mortality(all_0_17_17, all_0_16_16) = all_92_1_115
% 19.22/5.12 | (188) smaller(all_92_2_116, all_92_1_115) = 0
% 19.22/5.12 |
% 19.22/5.12 | Instantiating formula (60) with all_0_17_17, all_0_15_15, all_92_2_116, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_15_15) = all_92_2_116, hazard_of_mortality(all_0_17_17, all_0_15_15) = all_0_4_4, yields:
% 19.22/5.12 | (189) all_92_2_116 = all_0_4_4
% 19.22/5.12 |
% 19.22/5.12 | Instantiating formula (60) with all_0_17_17, all_0_16_16, all_92_1_115, all_0_3_3 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_16_16) = all_92_1_115, hazard_of_mortality(all_0_17_17, all_0_16_16) = all_0_3_3, yields:
% 19.22/5.12 | (190) all_92_1_115 = all_0_3_3
% 19.22/5.12 |
% 19.22/5.12 | From (189)(190) and (188) follows:
% 19.22/5.12 | (133) smaller(all_0_4_4, all_0_3_3) = 0
% 19.22/5.12 |
% 19.22/5.12 | Instantiating formula (40) with all_0_4_4, all_0_3_3, 0, all_0_2_2 and discharging atoms smaller(all_0_4_4, all_0_3_3) = all_0_2_2, smaller(all_0_4_4, all_0_3_3) = 0, yields:
% 19.22/5.12 | (90) all_0_2_2 = 0
% 19.22/5.12 |
% 19.22/5.12 | Equations (90) can reduce 55 to:
% 19.22/5.12 | (91) $false
% 19.22/5.12 |
% 19.22/5.12 |-The branch is then unsatisfiable
% 19.22/5.12 |-Branch two:
% 19.22/5.12 | (194) ( ~ (all_62_4_78 = 0) | ( ~ (all_92_3_117 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater_or_equal(all_92_5_119, all_92_4_118) = all_92_3_117)) & (( ~ (all_92_0_114 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater(all_92_5_119, all_92_4_118) = all_92_0_114) | ( ~ (all_92_0_114 = 0) & greater_or_equal(all_62_6_80, all_62_5_79) = all_92_0_114))
% 19.22/5.12 |
% 19.22/5.12 | Applying alpha-rule on (194) yields:
% 19.22/5.12 | (195) ~ (all_62_4_78 = 0) | ( ~ (all_92_3_117 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater_or_equal(all_92_5_119, all_92_4_118) = all_92_3_117)
% 19.22/5.12 | (196) ( ~ (all_92_0_114 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater(all_92_5_119, all_92_4_118) = all_92_0_114) | ( ~ (all_92_0_114 = 0) & greater_or_equal(all_62_6_80, all_62_5_79) = all_92_0_114)
% 19.64/5.12 |
% 19.64/5.12 +-Applying beta-rule and splitting (196), into two cases.
% 19.64/5.12 |-Branch one:
% 19.64/5.12 | (197) ~ (all_92_0_114 = 0) & position(all_0_17_17, all_0_15_15) = all_92_5_119 & position(all_0_17_17, all_0_16_16) = all_92_4_118 & greater(all_92_5_119, all_92_4_118) = all_92_0_114
% 19.64/5.12 |
% 19.64/5.12 | Applying alpha-rule on (197) yields:
% 19.64/5.12 | (198) ~ (all_92_0_114 = 0)
% 19.64/5.12 | (199) position(all_0_17_17, all_0_15_15) = all_92_5_119
% 19.64/5.12 | (200) position(all_0_17_17, all_0_16_16) = all_92_4_118
% 19.64/5.12 | (201) greater(all_92_5_119, all_92_4_118) = all_92_0_114
% 19.64/5.12 |
% 19.64/5.12 | Instantiating formula (49) with all_0_17_17, all_0_15_15, all_92_5_119, all_50_2_71 and discharging atoms position(all_0_17_17, all_0_15_15) = all_92_5_119, position(all_0_17_17, all_0_15_15) = all_50_2_71, yields:
% 19.64/5.12 | (202) all_92_5_119 = all_50_2_71
% 19.64/5.12 |
% 19.64/5.12 | Instantiating formula (49) with all_0_17_17, all_0_16_16, all_92_4_118, all_50_1_70 and discharging atoms position(all_0_17_17, all_0_16_16) = all_92_4_118, position(all_0_17_17, all_0_16_16) = all_50_1_70, yields:
% 19.64/5.12 | (203) all_92_4_118 = all_50_1_70
% 19.64/5.12 |
% 19.64/5.12 | From (202)(203) and (201) follows:
% 19.64/5.12 | (204) greater(all_50_2_71, all_50_1_70) = all_92_0_114
% 19.64/5.12 |
% 19.64/5.12 | Instantiating formula (47) with all_50_2_71, all_50_1_70, all_92_0_114, 0 and discharging atoms greater(all_50_2_71, all_50_1_70) = all_92_0_114, greater(all_50_2_71, all_50_1_70) = 0, yields:
% 19.64/5.12 | (185) all_92_0_114 = 0
% 19.64/5.12 |
% 19.64/5.12 | Equations (185) can reduce 198 to:
% 19.64/5.12 | (91) $false
% 19.64/5.12 |
% 19.64/5.12 |-The branch is then unsatisfiable
% 19.64/5.12 |-Branch two:
% 19.64/5.12 | (207) ~ (all_92_0_114 = 0) & greater_or_equal(all_62_6_80, all_62_5_79) = all_92_0_114
% 19.64/5.12 |
% 19.64/5.12 | Applying alpha-rule on (207) yields:
% 19.64/5.12 | (198) ~ (all_92_0_114 = 0)
% 19.64/5.12 | (209) greater_or_equal(all_62_6_80, all_62_5_79) = all_92_0_114
% 19.64/5.12 |
% 19.64/5.12 +-Applying beta-rule and splitting (156), into two cases.
% 19.64/5.12 |-Branch one:
% 19.64/5.12 | (210) ~ (all_93_6_126 = 0) & organization(all_0_17_17) = all_93_6_126
% 19.64/5.12 |
% 19.64/5.12 | Applying alpha-rule on (210) yields:
% 19.64/5.12 | (211) ~ (all_93_6_126 = 0)
% 19.64/5.12 | (212) organization(all_0_17_17) = all_93_6_126
% 19.64/5.12 |
% 19.64/5.12 | Instantiating formula (77) with all_0_17_17, all_93_6_126, 0 and discharging atoms organization(all_0_17_17) = all_93_6_126, organization(all_0_17_17) = 0, yields:
% 19.64/5.12 | (213) all_93_6_126 = 0
% 19.64/5.12 |
% 19.64/5.12 | Equations (213) can reduce 211 to:
% 19.64/5.12 | (91) $false
% 19.64/5.12 |
% 19.64/5.12 |-The branch is then unsatisfiable
% 19.64/5.12 |-Branch two:
% 19.64/5.12 | (215) (all_62_4_78 = 0 | ( ~ (all_93_0_120 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122 & smaller_or_equal(all_93_3_123, all_93_2_122) = all_93_0_120) | ( ~ (all_93_4_124 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125 & greater(all_93_6_126, all_93_5_125) = all_93_4_124)) & (all_62_5_79 = all_62_6_80 | ( ~ (all_93_2_122 = all_93_3_123) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122) | ( ~ (all_93_5_125 = all_93_6_126) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125)) & ((all_93_1_121 = 0 & smaller(all_62_6_80, all_62_5_79) = 0) | ( ~ (all_93_1_121 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122 & greater(all_93_3_123, all_93_2_122) = all_93_1_121) | ( ~ (all_93_1_121 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125 & smaller_or_equal(all_93_6_126, all_93_5_125) = all_93_1_121))
% 19.64/5.12 |
% 19.64/5.12 | Applying alpha-rule on (215) yields:
% 19.64/5.12 | (216) all_62_4_78 = 0 | ( ~ (all_93_0_120 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122 & smaller_or_equal(all_93_3_123, all_93_2_122) = all_93_0_120) | ( ~ (all_93_4_124 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125 & greater(all_93_6_126, all_93_5_125) = all_93_4_124)
% 19.64/5.12 | (217) all_62_5_79 = all_62_6_80 | ( ~ (all_93_2_122 = all_93_3_123) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122) | ( ~ (all_93_5_125 = all_93_6_126) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125)
% 19.64/5.12 | (218) (all_93_1_121 = 0 & smaller(all_62_6_80, all_62_5_79) = 0) | ( ~ (all_93_1_121 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122 & greater(all_93_3_123, all_93_2_122) = all_93_1_121) | ( ~ (all_93_1_121 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125 & smaller_or_equal(all_93_6_126, all_93_5_125) = all_93_1_121)
% 19.64/5.13 |
% 19.64/5.13 +-Applying beta-rule and splitting (154), into two cases.
% 19.64/5.13 |-Branch one:
% 19.64/5.13 | (219) (all_88_5_96 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_88_5_96 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_88_5_96 = 0) & organization(all_0_17_17) = all_88_5_96)
% 19.64/5.13 |
% 19.64/5.13 +-Applying beta-rule and splitting (219), into two cases.
% 19.64/5.13 |-Branch one:
% 19.64/5.13 | (220) (all_88_5_96 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_88_5_96 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0)
% 19.64/5.13 |
% 19.64/5.13 +-Applying beta-rule and splitting (220), into two cases.
% 19.64/5.13 |-Branch one:
% 19.64/5.13 | (221) all_88_5_96 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0
% 19.64/5.13 |
% 19.64/5.13 | Applying alpha-rule on (221) yields:
% 19.64/5.13 | (222) all_88_5_96 = 0
% 19.64/5.13 | (110) has_immunity(all_0_17_17, all_0_15_15) = 0
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (31) with all_0_17_17, all_0_15_15, 0, all_0_13_13 and discharging atoms has_immunity(all_0_17_17, all_0_15_15) = all_0_13_13, has_immunity(all_0_17_17, all_0_15_15) = 0, yields:
% 19.64/5.13 | (111) all_0_13_13 = 0
% 19.64/5.13 |
% 19.64/5.13 | Equations (111) can reduce 17 to:
% 19.64/5.13 | (91) $false
% 19.64/5.13 |
% 19.64/5.13 |-The branch is then unsatisfiable
% 19.64/5.13 |-Branch two:
% 19.64/5.13 | (226) all_88_5_96 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0
% 19.64/5.13 |
% 19.64/5.13 | Applying alpha-rule on (226) yields:
% 19.64/5.13 | (222) all_88_5_96 = 0
% 19.64/5.13 | (115) has_immunity(all_0_17_17, all_0_16_16) = 0
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (31) with all_0_17_17, all_0_16_16, 0, all_0_14_14 and discharging atoms has_immunity(all_0_17_17, all_0_16_16) = all_0_14_14, has_immunity(all_0_17_17, all_0_16_16) = 0, yields:
% 19.64/5.13 | (116) all_0_14_14 = 0
% 19.64/5.13 |
% 19.64/5.13 | Equations (116) can reduce 69 to:
% 19.64/5.13 | (91) $false
% 19.64/5.13 |
% 19.64/5.13 |-The branch is then unsatisfiable
% 19.64/5.13 |-Branch two:
% 19.64/5.13 | (231) ~ (all_88_5_96 = 0) & organization(all_0_17_17) = all_88_5_96
% 19.64/5.13 |
% 19.64/5.13 | Applying alpha-rule on (231) yields:
% 19.64/5.13 | (232) ~ (all_88_5_96 = 0)
% 19.64/5.13 | (233) organization(all_0_17_17) = all_88_5_96
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (77) with all_0_17_17, all_88_5_96, 0 and discharging atoms organization(all_0_17_17) = all_88_5_96, organization(all_0_17_17) = 0, yields:
% 19.64/5.13 | (222) all_88_5_96 = 0
% 19.64/5.13 |
% 19.64/5.13 | Equations (222) can reduce 232 to:
% 19.64/5.13 | (91) $false
% 19.64/5.13 |
% 19.64/5.13 |-The branch is then unsatisfiable
% 19.64/5.13 |-Branch two:
% 19.64/5.13 | (236) ( ~ (all_50_1_70 = all_50_2_71) | (all_88_1_92 = all_88_2_93 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_88_2_93 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_88_2_93) | ( ~ (all_88_4_95 = all_88_5_96) & capability(all_0_17_17, all_0_15_15) = all_88_5_96 & capability(all_0_17_17, all_0_16_16) = all_88_4_95)) & ((all_88_0_91 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_88_2_93 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_88_1_92 & smaller(all_88_2_93, all_88_1_92) = 0) | ( ~ (all_88_3_94 = 0) & capability(all_0_17_17, all_0_15_15) = all_88_5_96 & capability(all_0_17_17, all_0_16_16) = all_88_4_95 & greater(all_88_5_96, all_88_4_95) = all_88_3_94 & (( ~ (all_88_0_91 = 0) & greater(all_50_2_71, all_50_1_70) = all_88_0_91) | ( ~ (all_88_0_91 = 0) & greater_or_equal(all_88_5_96, all_88_4_95) = all_88_0_91))))
% 19.64/5.13 |
% 19.64/5.13 | Applying alpha-rule on (236) yields:
% 19.64/5.13 | (237) ~ (all_50_1_70 = all_50_2_71) | (all_88_1_92 = all_88_2_93 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_88_2_93 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_88_2_93) | ( ~ (all_88_4_95 = all_88_5_96) & capability(all_0_17_17, all_0_15_15) = all_88_5_96 & capability(all_0_17_17, all_0_16_16) = all_88_4_95)
% 19.64/5.13 | (238) (all_88_0_91 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_88_2_93 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_88_1_92 & smaller(all_88_2_93, all_88_1_92) = 0) | ( ~ (all_88_3_94 = 0) & capability(all_0_17_17, all_0_15_15) = all_88_5_96 & capability(all_0_17_17, all_0_16_16) = all_88_4_95 & greater(all_88_5_96, all_88_4_95) = all_88_3_94 & (( ~ (all_88_0_91 = 0) & greater(all_50_2_71, all_50_1_70) = all_88_0_91) | ( ~ (all_88_0_91 = 0) & greater_or_equal(all_88_5_96, all_88_4_95) = all_88_0_91)))
% 19.64/5.13 |
% 19.64/5.13 +-Applying beta-rule and splitting (216), into two cases.
% 19.64/5.13 |-Branch one:
% 19.64/5.13 | (157) all_62_4_78 = 0
% 19.64/5.13 |
% 19.64/5.13 | Equations (157) can reduce 148 to:
% 19.64/5.13 | (91) $false
% 19.64/5.13 |
% 19.64/5.13 |-The branch is then unsatisfiable
% 19.64/5.13 |-Branch two:
% 19.64/5.13 | (148) ~ (all_62_4_78 = 0)
% 19.64/5.13 | (242) ( ~ (all_93_0_120 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122 & smaller_or_equal(all_93_3_123, all_93_2_122) = all_93_0_120) | ( ~ (all_93_4_124 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125 & greater(all_93_6_126, all_93_5_125) = all_93_4_124)
% 19.64/5.13 |
% 19.64/5.13 +-Applying beta-rule and splitting (238), into two cases.
% 19.64/5.13 |-Branch one:
% 19.64/5.13 | (243) all_88_0_91 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_88_2_93 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_88_1_92 & smaller(all_88_2_93, all_88_1_92) = 0
% 19.64/5.13 |
% 19.64/5.13 | Applying alpha-rule on (243) yields:
% 19.64/5.13 | (244) all_88_0_91 = 0
% 19.64/5.13 | (245) hazard_of_mortality(all_0_17_17, all_0_15_15) = all_88_2_93
% 19.64/5.13 | (246) hazard_of_mortality(all_0_17_17, all_0_16_16) = all_88_1_92
% 19.64/5.13 | (247) smaller(all_88_2_93, all_88_1_92) = 0
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (60) with all_0_17_17, all_0_15_15, all_88_2_93, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_15_15) = all_88_2_93, hazard_of_mortality(all_0_17_17, all_0_15_15) = all_0_4_4, yields:
% 19.64/5.13 | (248) all_88_2_93 = all_0_4_4
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (60) with all_0_17_17, all_0_16_16, all_88_1_92, all_0_3_3 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_16_16) = all_88_1_92, hazard_of_mortality(all_0_17_17, all_0_16_16) = all_0_3_3, yields:
% 19.64/5.13 | (249) all_88_1_92 = all_0_3_3
% 19.64/5.13 |
% 19.64/5.13 | From (248)(249) and (247) follows:
% 19.64/5.13 | (133) smaller(all_0_4_4, all_0_3_3) = 0
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (40) with all_0_4_4, all_0_3_3, 0, all_0_2_2 and discharging atoms smaller(all_0_4_4, all_0_3_3) = all_0_2_2, smaller(all_0_4_4, all_0_3_3) = 0, yields:
% 19.64/5.13 | (90) all_0_2_2 = 0
% 19.64/5.13 |
% 19.64/5.13 | Equations (90) can reduce 55 to:
% 19.64/5.13 | (91) $false
% 19.64/5.13 |
% 19.64/5.13 |-The branch is then unsatisfiable
% 19.64/5.13 |-Branch two:
% 19.64/5.13 | (253) ~ (all_88_3_94 = 0) & capability(all_0_17_17, all_0_15_15) = all_88_5_96 & capability(all_0_17_17, all_0_16_16) = all_88_4_95 & greater(all_88_5_96, all_88_4_95) = all_88_3_94 & (( ~ (all_88_0_91 = 0) & greater(all_50_2_71, all_50_1_70) = all_88_0_91) | ( ~ (all_88_0_91 = 0) & greater_or_equal(all_88_5_96, all_88_4_95) = all_88_0_91))
% 19.64/5.13 |
% 19.64/5.13 | Applying alpha-rule on (253) yields:
% 19.64/5.13 | (254) greater(all_88_5_96, all_88_4_95) = all_88_3_94
% 19.64/5.13 | (255) ( ~ (all_88_0_91 = 0) & greater(all_50_2_71, all_50_1_70) = all_88_0_91) | ( ~ (all_88_0_91 = 0) & greater_or_equal(all_88_5_96, all_88_4_95) = all_88_0_91)
% 19.64/5.13 | (256) ~ (all_88_3_94 = 0)
% 19.64/5.13 | (257) capability(all_0_17_17, all_0_16_16) = all_88_4_95
% 19.64/5.13 | (258) capability(all_0_17_17, all_0_15_15) = all_88_5_96
% 19.64/5.13 |
% 19.64/5.13 +-Applying beta-rule and splitting (242), into two cases.
% 19.64/5.13 |-Branch one:
% 19.64/5.13 | (259) ~ (all_93_0_120 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122 & smaller_or_equal(all_93_3_123, all_93_2_122) = all_93_0_120
% 19.64/5.13 |
% 19.64/5.13 | Applying alpha-rule on (259) yields:
% 19.64/5.13 | (260) ~ (all_93_0_120 = 0)
% 19.64/5.13 | (261) internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123
% 19.64/5.13 | (262) internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122
% 19.64/5.13 | (263) smaller_or_equal(all_93_3_123, all_93_2_122) = all_93_0_120
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (7) with all_0_17_17, all_0_15_15, all_93_3_123, all_0_9_9 and discharging atoms internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123, internal_friction(all_0_17_17, all_0_15_15) = all_0_9_9, yields:
% 19.64/5.13 | (264) all_93_3_123 = all_0_9_9
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (7) with all_0_17_17, all_0_16_16, all_93_2_122, all_0_8_8 and discharging atoms internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122, internal_friction(all_0_17_17, all_0_16_16) = all_0_8_8, yields:
% 19.64/5.13 | (265) all_93_2_122 = all_0_8_8
% 19.64/5.13 |
% 19.64/5.13 | From (264)(265) and (263) follows:
% 19.64/5.13 | (266) smaller_or_equal(all_0_9_9, all_0_8_8) = all_93_0_120
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (19) with all_0_9_9, all_0_8_8, all_93_0_120, 0 and discharging atoms smaller_or_equal(all_0_9_9, all_0_8_8) = all_93_0_120, smaller_or_equal(all_0_9_9, all_0_8_8) = 0, yields:
% 19.64/5.13 | (267) all_93_0_120 = 0
% 19.64/5.13 |
% 19.64/5.13 | Equations (267) can reduce 260 to:
% 19.64/5.13 | (91) $false
% 19.64/5.13 |
% 19.64/5.13 |-The branch is then unsatisfiable
% 19.64/5.13 |-Branch two:
% 19.64/5.13 | (269) ~ (all_93_4_124 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125 & greater(all_93_6_126, all_93_5_125) = all_93_4_124
% 19.64/5.13 |
% 19.64/5.13 | Applying alpha-rule on (269) yields:
% 19.64/5.13 | (270) ~ (all_93_4_124 = 0)
% 19.64/5.13 | (271) stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126
% 19.64/5.13 | (272) stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125
% 19.64/5.13 | (273) greater(all_93_6_126, all_93_5_125) = all_93_4_124
% 19.64/5.13 |
% 19.64/5.13 +-Applying beta-rule and splitting (255), into two cases.
% 19.64/5.13 |-Branch one:
% 19.64/5.13 | (274) ~ (all_88_0_91 = 0) & greater(all_50_2_71, all_50_1_70) = all_88_0_91
% 19.64/5.13 |
% 19.64/5.13 | Applying alpha-rule on (274) yields:
% 19.64/5.13 | (275) ~ (all_88_0_91 = 0)
% 19.64/5.13 | (276) greater(all_50_2_71, all_50_1_70) = all_88_0_91
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (47) with all_50_2_71, all_50_1_70, all_88_0_91, 0 and discharging atoms greater(all_50_2_71, all_50_1_70) = all_88_0_91, greater(all_50_2_71, all_50_1_70) = 0, yields:
% 19.64/5.13 | (244) all_88_0_91 = 0
% 19.64/5.13 |
% 19.64/5.13 | Equations (244) can reduce 275 to:
% 19.64/5.13 | (91) $false
% 19.64/5.13 |
% 19.64/5.13 |-The branch is then unsatisfiable
% 19.64/5.13 |-Branch two:
% 19.64/5.13 | (279) ~ (all_88_0_91 = 0) & greater_or_equal(all_88_5_96, all_88_4_95) = all_88_0_91
% 19.64/5.13 |
% 19.64/5.13 | Applying alpha-rule on (279) yields:
% 19.64/5.13 | (275) ~ (all_88_0_91 = 0)
% 19.64/5.13 | (281) greater_or_equal(all_88_5_96, all_88_4_95) = all_88_0_91
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (63) with all_0_17_17, all_0_15_15, all_93_6_126, all_0_12_12 and discharging atoms stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126, stock_of_knowledge(all_0_17_17, all_0_15_15) = all_0_12_12, yields:
% 19.64/5.13 | (282) all_93_6_126 = all_0_12_12
% 19.64/5.13 |
% 19.64/5.13 | Instantiating formula (63) with all_0_17_17, all_0_16_16, all_93_5_125, all_0_11_11 and discharging atoms stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125, stock_of_knowledge(all_0_17_17, all_0_16_16) = all_0_11_11, yields:
% 19.64/5.14 | (283) all_93_5_125 = all_0_11_11
% 19.64/5.14 |
% 19.64/5.14 | Instantiating formula (39) with all_0_17_17, all_0_15_15, all_88_5_96, all_62_6_80 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_88_5_96, capability(all_0_17_17, all_0_15_15) = all_62_6_80, yields:
% 19.64/5.14 | (284) all_88_5_96 = all_62_6_80
% 19.64/5.14 |
% 19.64/5.14 | Instantiating formula (39) with all_0_17_17, all_0_16_16, all_88_4_95, all_62_5_79 and discharging atoms capability(all_0_17_17, all_0_16_16) = all_88_4_95, capability(all_0_17_17, all_0_16_16) = all_62_5_79, yields:
% 19.64/5.14 | (285) all_88_4_95 = all_62_5_79
% 19.64/5.14 |
% 19.64/5.14 | Instantiating formula (61) with all_62_6_80, all_62_5_79, all_92_0_114, all_62_0_74 and discharging atoms greater_or_equal(all_62_6_80, all_62_5_79) = all_92_0_114, greater_or_equal(all_62_6_80, all_62_5_79) = all_62_0_74, yields:
% 19.64/5.14 | (286) all_92_0_114 = all_62_0_74
% 19.64/5.14 |
% 19.64/5.14 | From (282) and (271) follows:
% 19.64/5.14 | (38) stock_of_knowledge(all_0_17_17, all_0_15_15) = all_0_12_12
% 19.64/5.14 |
% 19.64/5.14 | From (283) and (272) follows:
% 19.64/5.14 | (52) stock_of_knowledge(all_0_17_17, all_0_16_16) = all_0_11_11
% 19.64/5.14 |
% 19.64/5.14 | From (284) and (258) follows:
% 19.64/5.14 | (138) capability(all_0_17_17, all_0_15_15) = all_62_6_80
% 19.64/5.14 |
% 19.64/5.14 | From (285) and (257) follows:
% 19.64/5.14 | (139) capability(all_0_17_17, all_0_16_16) = all_62_5_79
% 19.64/5.14 |
% 19.64/5.14 | From (282)(283) and (273) follows:
% 19.64/5.14 | (291) greater(all_0_12_12, all_0_11_11) = all_93_4_124
% 19.64/5.14 |
% 19.64/5.14 | From (284)(285) and (281) follows:
% 19.64/5.14 | (292) greater_or_equal(all_62_6_80, all_62_5_79) = all_88_0_91
% 19.64/5.14 |
% 19.64/5.14 | From (286) and (209) follows:
% 19.64/5.14 | (141) greater_or_equal(all_62_6_80, all_62_5_79) = all_62_0_74
% 19.64/5.14 |
% 19.64/5.14 +-Applying beta-rule and splitting (95), into two cases.
% 19.64/5.14 |-Branch one:
% 19.64/5.14 | (294) greater(all_0_12_12, all_0_11_11) = 0
% 19.64/5.14 |
% 19.64/5.14 | Instantiating formula (47) with all_0_12_12, all_0_11_11, 0, all_93_4_124 and discharging atoms greater(all_0_12_12, all_0_11_11) = all_93_4_124, greater(all_0_12_12, all_0_11_11) = 0, yields:
% 19.64/5.14 | (295) all_93_4_124 = 0
% 19.64/5.14 |
% 19.64/5.14 | Equations (295) can reduce 270 to:
% 19.64/5.14 | (91) $false
% 19.64/5.14 |
% 19.64/5.14 |-The branch is then unsatisfiable
% 19.64/5.14 |-Branch two:
% 19.64/5.14 | (297) ~ (greater(all_0_12_12, all_0_11_11) = 0)
% 19.64/5.14 | (298) all_0_11_11 = all_0_12_12
% 19.64/5.14 |
% 19.64/5.14 | Combining equations (298,283) yields a new equation:
% 19.64/5.14 | (299) all_93_5_125 = all_0_12_12
% 19.64/5.14 |
% 19.64/5.14 | From (298) and (52) follows:
% 19.64/5.14 | (300) stock_of_knowledge(all_0_17_17, all_0_16_16) = all_0_12_12
% 19.64/5.14 |
% 19.64/5.14 | From (298) and (291) follows:
% 19.64/5.14 | (301) greater(all_0_12_12, all_0_12_12) = all_93_4_124
% 19.64/5.14 |
% 19.64/5.14 | Instantiating formula (61) with all_62_6_80, all_62_5_79, all_88_0_91, all_62_0_74 and discharging atoms greater_or_equal(all_62_6_80, all_62_5_79) = all_88_0_91, greater_or_equal(all_62_6_80, all_62_5_79) = all_62_0_74, yields:
% 19.64/5.14 | (302) all_88_0_91 = all_62_0_74
% 19.64/5.14 |
% 19.64/5.14 | Equations (302) can reduce 275 to:
% 19.64/5.14 | (140) ~ (all_62_0_74 = 0)
% 19.64/5.14 |
% 19.64/5.14 | From (302) and (292) follows:
% 19.64/5.14 | (141) greater_or_equal(all_62_6_80, all_62_5_79) = all_62_0_74
% 19.64/5.14 |
% 19.64/5.14 | Instantiating formula (30) with all_93_4_124, all_0_12_12, all_0_12_12, all_0_15_15, all_0_15_15, all_0_17_17 and discharging atoms stock_of_knowledge(all_0_17_17, all_0_15_15) = all_0_12_12, greater(all_0_12_12, all_0_12_12) = all_93_4_124, yields:
% 19.64/5.14 | (305) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_93_4_124 = 0) | (v6 = 0 & capability(all_0_17_17, all_0_15_15) = v4 & capability(all_0_17_17, all_0_15_15) = v3 & greater(v3, v4) = 0) | ( ~ (v2 = 0) & internal_friction(all_0_17_17, all_0_15_15) = v1 & internal_friction(all_0_17_17, all_0_15_15) = v0 & smaller_or_equal(v0, v1) = v2)) & ((v5 = 0 & capability(all_0_17_17, all_0_15_15) = v4 & capability(all_0_17_17, all_0_15_15) = v3 & smaller(v3, v4) = 0) | ( ~ (v5 = 0) & internal_friction(all_0_17_17, all_0_15_15) = v1 & internal_friction(all_0_17_17, all_0_15_15) = v0 & greater(v0, v1) = v5) | ( ~ (v5 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = v5)) & ((v4 = v3 & capability(all_0_17_17, all_0_15_15) = v3) | ( ~ (v1 = v0) & internal_friction(all_0_17_17, all_0_15_15) = v1 & internal_friction(all_0_17_17, all_0_15_15) = v0))))
% 19.64/5.14 |
% 19.64/5.14 | Instantiating formula (30) with all_93_4_124, all_0_12_12, all_0_12_12, all_0_16_16, all_0_15_15, all_0_17_17 and discharging atoms stock_of_knowledge(all_0_17_17, all_0_15_15) = all_0_12_12, stock_of_knowledge(all_0_17_17, all_0_16_16) = all_0_12_12, greater(all_0_12_12, all_0_12_12) = all_93_4_124, yields:
% 19.64/5.14 | (306) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_93_4_124 = 0) | (v6 = 0 & capability(all_0_17_17, all_0_15_15) = v4 & capability(all_0_17_17, all_0_16_16) = v3 & greater(v3, v4) = 0) | ( ~ (v2 = 0) & internal_friction(all_0_17_17, all_0_15_15) = v1 & internal_friction(all_0_17_17, all_0_16_16) = v0 & smaller_or_equal(v0, v1) = v2)) & ((v5 = 0 & capability(all_0_17_17, all_0_15_15) = v4 & capability(all_0_17_17, all_0_16_16) = v3 & smaller(v3, v4) = 0) | ( ~ (v5 = 0) & internal_friction(all_0_17_17, all_0_15_15) = v1 & internal_friction(all_0_17_17, all_0_16_16) = v0 & greater(v0, v1) = v5) | ( ~ (v5 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = v5)) & ((v4 = v3 & capability(all_0_17_17, all_0_15_15) = v3 & capability(all_0_17_17, all_0_16_16) = v3) | ( ~ (v1 = v0) & internal_friction(all_0_17_17, all_0_15_15) = v1 & internal_friction(all_0_17_17, all_0_16_16) = v0))))
% 19.64/5.14 |
% 19.64/5.14 | Instantiating formula (30) with all_93_4_124, all_0_12_12, all_0_12_12, all_0_16_16, all_0_16_16, all_0_17_17 and discharging atoms stock_of_knowledge(all_0_17_17, all_0_16_16) = all_0_12_12, greater(all_0_12_12, all_0_12_12) = all_93_4_124, yields:
% 19.64/5.14 | (307) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_93_4_124 = 0) | (v6 = 0 & capability(all_0_17_17, all_0_16_16) = v4 & capability(all_0_17_17, all_0_16_16) = v3 & greater(v3, v4) = 0) | ( ~ (v2 = 0) & internal_friction(all_0_17_17, all_0_16_16) = v1 & internal_friction(all_0_17_17, all_0_16_16) = v0 & smaller_or_equal(v0, v1) = v2)) & ((v5 = 0 & capability(all_0_17_17, all_0_16_16) = v4 & capability(all_0_17_17, all_0_16_16) = v3 & smaller(v3, v4) = 0) | ( ~ (v5 = 0) & internal_friction(all_0_17_17, all_0_16_16) = v1 & internal_friction(all_0_17_17, all_0_16_16) = v0 & greater(v0, v1) = v5) | ( ~ (v5 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = v5)) & ((v4 = v3 & capability(all_0_17_17, all_0_16_16) = v3) | ( ~ (v1 = v0) & internal_friction(all_0_17_17, all_0_16_16) = v1 & internal_friction(all_0_17_17, all_0_16_16) = v0))))
% 19.64/5.14 |
% 19.64/5.14 | Instantiating formula (5) with all_93_4_124, all_0_12_12, all_0_12_12 and discharging atoms greater(all_0_12_12, all_0_12_12) = all_93_4_124, yields:
% 19.64/5.14 | (308) all_93_4_124 = 0 | ? [v0] : ( ~ (v0 = 0) & smaller(all_0_12_12, all_0_12_12) = v0)
% 19.64/5.14 |
% 19.64/5.14 | Instantiating formula (36) with all_103_0_129, all_62_6_80, all_62_5_79, all_0_16_16, all_0_15_15, all_0_17_17 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_62_6_80, capability(all_0_17_17, all_0_16_16) = all_62_5_79, smaller(all_62_5_79, all_62_6_80) = all_103_0_129, yields:
% 19.64/5.14 | (309) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v0 = 0) & organization(all_0_17_17) = v0) | ((all_103_0_129 = 0 | ( ~ (v5 = 0) & internal_friction(all_0_17_17, all_0_15_15) = v4 & internal_friction(all_0_17_17, all_0_16_16) = v3 & greater(v3, v4) = v5) | ( ~ (v5 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = v1 & stock_of_knowledge(all_0_17_17, all_0_16_16) = v0 & smaller_or_equal(v0, v1) = v5)) & (all_62_5_79 = all_62_6_80 | ( ~ (v4 = v3) & internal_friction(all_0_17_17, all_0_15_15) = v4 & internal_friction(all_0_17_17, all_0_16_16) = v3) | ( ~ (v1 = v0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = v1 & stock_of_knowledge(all_0_17_17, all_0_16_16) = v0)) & ((v6 = 0 & greater(all_62_5_79, all_62_6_80) = 0) | ( ~ (v6 = 0) & internal_friction(all_0_17_17, all_0_15_15) = v4 & internal_friction(all_0_17_17, all_0_16_16) = v3 & smaller_or_equal(v3, v4) = v6) | ( ~ (v2 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = v1 & stock_of_knowledge(all_0_17_17, all_0_16_16) = v0 & greater(v0, v1) = v2))))
% 19.64/5.14 |
% 19.64/5.14 | Instantiating (309) with all_163_0_134, all_163_1_135, all_163_2_136, all_163_3_137, all_163_4_138, all_163_5_139, all_163_6_140 yields:
% 19.64/5.14 | (310) ( ~ (all_163_6_140 = 0) & organization(all_0_17_17) = all_163_6_140) | ((all_103_0_129 = 0 | ( ~ (all_163_1_135 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137 & greater(all_163_3_137, all_163_2_136) = all_163_1_135) | ( ~ (all_163_1_135 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140 & smaller_or_equal(all_163_6_140, all_163_5_139) = all_163_1_135)) & (all_62_5_79 = all_62_6_80 | ( ~ (all_163_2_136 = all_163_3_137) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137) | ( ~ (all_163_5_139 = all_163_6_140) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140)) & ((all_163_0_134 = 0 & greater(all_62_5_79, all_62_6_80) = 0) | ( ~ (all_163_0_134 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137 & smaller_or_equal(all_163_3_137, all_163_2_136) = all_163_0_134) | ( ~ (all_163_4_138 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140 & greater(all_163_6_140, all_163_5_139) = all_163_4_138)))
% 19.64/5.14 |
% 19.64/5.14 | Instantiating (307) with all_164_0_141, all_164_1_142, all_164_2_143, all_164_3_144, all_164_4_145, all_164_5_146, all_164_6_147 yields:
% 19.64/5.14 | (311) ( ~ (all_164_6_147 = 0) & organization(all_0_17_17) = all_164_6_147) | (( ~ (all_93_4_124 = 0) | (all_164_0_141 = 0 & capability(all_0_17_17, all_0_16_16) = all_164_2_143 & capability(all_0_17_17, all_0_16_16) = all_164_3_144 & greater(all_164_3_144, all_164_2_143) = 0) | ( ~ (all_164_4_145 = 0) & internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146 & internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147 & smaller_or_equal(all_164_6_147, all_164_5_146) = all_164_4_145)) & ((all_164_1_142 = 0 & capability(all_0_17_17, all_0_16_16) = all_164_2_143 & capability(all_0_17_17, all_0_16_16) = all_164_3_144 & smaller(all_164_3_144, all_164_2_143) = 0) | ( ~ (all_164_1_142 = 0) & internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146 & internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147 & greater(all_164_6_147, all_164_5_146) = all_164_1_142) | ( ~ (all_164_1_142 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = all_164_1_142)) & ((all_164_2_143 = all_164_3_144 & capability(all_0_17_17, all_0_16_16) = all_164_3_144) | ( ~ (all_164_5_146 = all_164_6_147) & internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146 & internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147)))
% 19.64/5.15 |
% 19.64/5.15 | Instantiating (305) with all_166_0_155, all_166_1_156, all_166_2_157, all_166_3_158, all_166_4_159, all_166_5_160, all_166_6_161 yields:
% 19.64/5.15 | (312) ( ~ (all_166_6_161 = 0) & organization(all_0_17_17) = all_166_6_161) | (( ~ (all_93_4_124 = 0) | (all_166_0_155 = 0 & capability(all_0_17_17, all_0_15_15) = all_166_2_157 & capability(all_0_17_17, all_0_15_15) = all_166_3_158 & greater(all_166_3_158, all_166_2_157) = 0) | ( ~ (all_166_4_159 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160 & internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161 & smaller_or_equal(all_166_6_161, all_166_5_160) = all_166_4_159)) & ((all_166_1_156 = 0 & capability(all_0_17_17, all_0_15_15) = all_166_2_157 & capability(all_0_17_17, all_0_15_15) = all_166_3_158 & smaller(all_166_3_158, all_166_2_157) = 0) | ( ~ (all_166_1_156 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160 & internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161 & greater(all_166_6_161, all_166_5_160) = all_166_1_156) | ( ~ (all_166_1_156 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = all_166_1_156)) & ((all_166_2_157 = all_166_3_158 & capability(all_0_17_17, all_0_15_15) = all_166_3_158) | ( ~ (all_166_5_160 = all_166_6_161) & internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160 & internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161)))
% 19.64/5.15 |
% 19.64/5.15 | Instantiating (306) with all_167_0_162, all_167_1_163, all_167_2_164, all_167_3_165, all_167_4_166, all_167_5_167, all_167_6_168 yields:
% 19.64/5.15 | (313) ( ~ (all_167_6_168 = 0) & organization(all_0_17_17) = all_167_6_168) | (( ~ (all_93_4_124 = 0) | (all_167_0_162 = 0 & capability(all_0_17_17, all_0_15_15) = all_167_2_164 & capability(all_0_17_17, all_0_16_16) = all_167_3_165 & greater(all_167_3_165, all_167_2_164) = 0) | ( ~ (all_167_4_166 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168 & smaller_or_equal(all_167_6_168, all_167_5_167) = all_167_4_166)) & ((all_167_1_163 = 0 & capability(all_0_17_17, all_0_15_15) = all_167_2_164 & capability(all_0_17_17, all_0_16_16) = all_167_3_165 & smaller(all_167_3_165, all_167_2_164) = 0) | ( ~ (all_167_1_163 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168 & greater(all_167_6_168, all_167_5_167) = all_167_1_163) | ( ~ (all_167_1_163 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = all_167_1_163)) & ((all_167_2_164 = all_167_3_165 & capability(all_0_17_17, all_0_15_15) = all_167_3_165 & capability(all_0_17_17, all_0_16_16) = all_167_3_165) | ( ~ (all_167_5_167 = all_167_6_168) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168)))
% 19.64/5.15 |
% 19.64/5.15 +-Applying beta-rule and splitting (311), into two cases.
% 19.64/5.15 |-Branch one:
% 19.64/5.15 | (314) ~ (all_164_6_147 = 0) & organization(all_0_17_17) = all_164_6_147
% 19.64/5.15 |
% 19.64/5.15 | Applying alpha-rule on (314) yields:
% 19.64/5.15 | (315) ~ (all_164_6_147 = 0)
% 19.64/5.15 | (316) organization(all_0_17_17) = all_164_6_147
% 19.64/5.15 |
% 19.64/5.15 | Instantiating formula (77) with all_0_17_17, all_164_6_147, 0 and discharging atoms organization(all_0_17_17) = all_164_6_147, organization(all_0_17_17) = 0, yields:
% 19.64/5.15 | (317) all_164_6_147 = 0
% 19.64/5.15 |
% 19.64/5.15 | Equations (317) can reduce 315 to:
% 19.64/5.15 | (91) $false
% 19.64/5.15 |
% 19.64/5.15 |-The branch is then unsatisfiable
% 19.64/5.15 |-Branch two:
% 19.64/5.15 | (319) ( ~ (all_93_4_124 = 0) | (all_164_0_141 = 0 & capability(all_0_17_17, all_0_16_16) = all_164_2_143 & capability(all_0_17_17, all_0_16_16) = all_164_3_144 & greater(all_164_3_144, all_164_2_143) = 0) | ( ~ (all_164_4_145 = 0) & internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146 & internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147 & smaller_or_equal(all_164_6_147, all_164_5_146) = all_164_4_145)) & ((all_164_1_142 = 0 & capability(all_0_17_17, all_0_16_16) = all_164_2_143 & capability(all_0_17_17, all_0_16_16) = all_164_3_144 & smaller(all_164_3_144, all_164_2_143) = 0) | ( ~ (all_164_1_142 = 0) & internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146 & internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147 & greater(all_164_6_147, all_164_5_146) = all_164_1_142) | ( ~ (all_164_1_142 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = all_164_1_142)) & ((all_164_2_143 = all_164_3_144 & capability(all_0_17_17, all_0_16_16) = all_164_3_144) | ( ~ (all_164_5_146 = all_164_6_147) & internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146 & internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147))
% 19.64/5.15 |
% 19.64/5.15 | Applying alpha-rule on (319) yields:
% 19.64/5.15 | (320) ~ (all_93_4_124 = 0) | (all_164_0_141 = 0 & capability(all_0_17_17, all_0_16_16) = all_164_2_143 & capability(all_0_17_17, all_0_16_16) = all_164_3_144 & greater(all_164_3_144, all_164_2_143) = 0) | ( ~ (all_164_4_145 = 0) & internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146 & internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147 & smaller_or_equal(all_164_6_147, all_164_5_146) = all_164_4_145)
% 19.64/5.15 | (321) (all_164_1_142 = 0 & capability(all_0_17_17, all_0_16_16) = all_164_2_143 & capability(all_0_17_17, all_0_16_16) = all_164_3_144 & smaller(all_164_3_144, all_164_2_143) = 0) | ( ~ (all_164_1_142 = 0) & internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146 & internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147 & greater(all_164_6_147, all_164_5_146) = all_164_1_142) | ( ~ (all_164_1_142 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = all_164_1_142)
% 19.64/5.15 | (322) (all_164_2_143 = all_164_3_144 & capability(all_0_17_17, all_0_16_16) = all_164_3_144) | ( ~ (all_164_5_146 = all_164_6_147) & internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146 & internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147)
% 19.64/5.15 |
% 19.64/5.15 +-Applying beta-rule and splitting (312), into two cases.
% 19.64/5.15 |-Branch one:
% 19.64/5.15 | (323) ~ (all_166_6_161 = 0) & organization(all_0_17_17) = all_166_6_161
% 19.64/5.15 |
% 19.64/5.15 | Applying alpha-rule on (323) yields:
% 19.64/5.15 | (324) ~ (all_166_6_161 = 0)
% 19.64/5.15 | (325) organization(all_0_17_17) = all_166_6_161
% 19.64/5.15 |
% 19.64/5.15 | Instantiating formula (77) with all_0_17_17, all_166_6_161, 0 and discharging atoms organization(all_0_17_17) = all_166_6_161, organization(all_0_17_17) = 0, yields:
% 19.64/5.15 | (326) all_166_6_161 = 0
% 19.64/5.15 |
% 19.64/5.15 | Equations (326) can reduce 324 to:
% 19.64/5.15 | (91) $false
% 19.64/5.15 |
% 19.64/5.15 |-The branch is then unsatisfiable
% 19.64/5.15 |-Branch two:
% 19.64/5.15 | (328) ( ~ (all_93_4_124 = 0) | (all_166_0_155 = 0 & capability(all_0_17_17, all_0_15_15) = all_166_2_157 & capability(all_0_17_17, all_0_15_15) = all_166_3_158 & greater(all_166_3_158, all_166_2_157) = 0) | ( ~ (all_166_4_159 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160 & internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161 & smaller_or_equal(all_166_6_161, all_166_5_160) = all_166_4_159)) & ((all_166_1_156 = 0 & capability(all_0_17_17, all_0_15_15) = all_166_2_157 & capability(all_0_17_17, all_0_15_15) = all_166_3_158 & smaller(all_166_3_158, all_166_2_157) = 0) | ( ~ (all_166_1_156 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160 & internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161 & greater(all_166_6_161, all_166_5_160) = all_166_1_156) | ( ~ (all_166_1_156 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = all_166_1_156)) & ((all_166_2_157 = all_166_3_158 & capability(all_0_17_17, all_0_15_15) = all_166_3_158) | ( ~ (all_166_5_160 = all_166_6_161) & internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160 & internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161))
% 19.64/5.15 |
% 19.64/5.15 | Applying alpha-rule on (328) yields:
% 19.64/5.15 | (329) ~ (all_93_4_124 = 0) | (all_166_0_155 = 0 & capability(all_0_17_17, all_0_15_15) = all_166_2_157 & capability(all_0_17_17, all_0_15_15) = all_166_3_158 & greater(all_166_3_158, all_166_2_157) = 0) | ( ~ (all_166_4_159 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160 & internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161 & smaller_or_equal(all_166_6_161, all_166_5_160) = all_166_4_159)
% 19.64/5.15 | (330) (all_166_1_156 = 0 & capability(all_0_17_17, all_0_15_15) = all_166_2_157 & capability(all_0_17_17, all_0_15_15) = all_166_3_158 & smaller(all_166_3_158, all_166_2_157) = 0) | ( ~ (all_166_1_156 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160 & internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161 & greater(all_166_6_161, all_166_5_160) = all_166_1_156) | ( ~ (all_166_1_156 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = all_166_1_156)
% 19.64/5.15 | (331) (all_166_2_157 = all_166_3_158 & capability(all_0_17_17, all_0_15_15) = all_166_3_158) | ( ~ (all_166_5_160 = all_166_6_161) & internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160 & internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161)
% 19.64/5.15 |
% 19.64/5.15 +-Applying beta-rule and splitting (331), into two cases.
% 19.64/5.15 |-Branch one:
% 19.64/5.15 | (332) all_166_2_157 = all_166_3_158 & capability(all_0_17_17, all_0_15_15) = all_166_3_158
% 19.64/5.15 |
% 19.64/5.15 | Applying alpha-rule on (332) yields:
% 19.64/5.15 | (333) all_166_2_157 = all_166_3_158
% 19.64/5.15 | (334) capability(all_0_17_17, all_0_15_15) = all_166_3_158
% 19.64/5.15 |
% 19.64/5.15 +-Applying beta-rule and splitting (322), into two cases.
% 19.64/5.15 |-Branch one:
% 19.64/5.15 | (335) all_164_2_143 = all_164_3_144 & capability(all_0_17_17, all_0_16_16) = all_164_3_144
% 19.64/5.15 |
% 19.64/5.15 | Applying alpha-rule on (335) yields:
% 19.64/5.15 | (336) all_164_2_143 = all_164_3_144
% 19.64/5.15 | (337) capability(all_0_17_17, all_0_16_16) = all_164_3_144
% 19.64/5.15 |
% 19.64/5.15 +-Applying beta-rule and splitting (308), into two cases.
% 19.64/5.15 |-Branch one:
% 19.64/5.15 | (295) all_93_4_124 = 0
% 19.64/5.15 |
% 19.64/5.15 | Equations (295) can reduce 270 to:
% 19.64/5.15 | (91) $false
% 19.64/5.15 |
% 19.64/5.15 |-The branch is then unsatisfiable
% 19.64/5.15 |-Branch two:
% 19.64/5.15 | (270) ~ (all_93_4_124 = 0)
% 19.64/5.15 | (341) ? [v0] : ( ~ (v0 = 0) & smaller(all_0_12_12, all_0_12_12) = v0)
% 19.64/5.15 |
% 19.64/5.15 | Instantiating (341) with all_186_0_171 yields:
% 19.64/5.15 | (342) ~ (all_186_0_171 = 0) & smaller(all_0_12_12, all_0_12_12) = all_186_0_171
% 19.64/5.15 |
% 19.64/5.15 | Applying alpha-rule on (342) yields:
% 19.64/5.15 | (343) ~ (all_186_0_171 = 0)
% 19.64/5.15 | (344) smaller(all_0_12_12, all_0_12_12) = all_186_0_171
% 19.64/5.15 |
% 19.64/5.15 | Instantiating formula (39) with all_0_17_17, all_0_15_15, all_166_3_158, all_62_6_80 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_166_3_158, capability(all_0_17_17, all_0_15_15) = all_62_6_80, yields:
% 19.64/5.15 | (345) all_166_3_158 = all_62_6_80
% 19.64/5.15 |
% 19.64/5.15 | Instantiating formula (39) with all_0_17_17, all_0_16_16, all_164_3_144, all_62_5_79 and discharging atoms capability(all_0_17_17, all_0_16_16) = all_164_3_144, capability(all_0_17_17, all_0_16_16) = all_62_5_79, yields:
% 19.64/5.15 | (346) all_164_3_144 = all_62_5_79
% 19.64/5.15 |
% 19.64/5.15 | From (345) and (334) follows:
% 19.64/5.15 | (138) capability(all_0_17_17, all_0_15_15) = all_62_6_80
% 19.64/5.15 |
% 19.64/5.15 | From (346) and (337) follows:
% 19.64/5.15 | (139) capability(all_0_17_17, all_0_16_16) = all_62_5_79
% 19.64/5.15 |
% 19.64/5.15 +-Applying beta-rule and splitting (82), into two cases.
% 19.64/5.15 |-Branch one:
% 19.64/5.15 | (349) smaller(all_0_9_9, all_0_8_8) = 0
% 19.64/5.15 |
% 19.64/5.15 | Instantiating formula (15) with all_0_8_8, all_0_9_9 and discharging atoms smaller(all_0_9_9, all_0_8_8) = 0, yields:
% 19.64/5.15 | (350) greater(all_0_8_8, all_0_9_9) = 0
% 19.64/5.15 |
% 19.64/5.15 | Instantiating formula (23) with all_186_0_171, all_0_12_12 and discharging atoms smaller(all_0_12_12, all_0_12_12) = all_186_0_171, yields:
% 19.64/5.15 | (351) smaller_or_equal(all_0_12_12, all_0_12_12) = 0
% 19.64/5.15 |
% 19.64/5.15 +-Applying beta-rule and splitting (310), into two cases.
% 19.64/5.15 |-Branch one:
% 19.64/5.15 | (352) ~ (all_163_6_140 = 0) & organization(all_0_17_17) = all_163_6_140
% 19.64/5.15 |
% 19.64/5.15 | Applying alpha-rule on (352) yields:
% 19.64/5.15 | (353) ~ (all_163_6_140 = 0)
% 19.64/5.15 | (354) organization(all_0_17_17) = all_163_6_140
% 19.64/5.15 |
% 19.64/5.15 | Instantiating formula (77) with all_0_17_17, all_163_6_140, 0 and discharging atoms organization(all_0_17_17) = all_163_6_140, organization(all_0_17_17) = 0, yields:
% 19.64/5.15 | (355) all_163_6_140 = 0
% 19.64/5.15 |
% 19.64/5.15 | Equations (355) can reduce 353 to:
% 19.64/5.15 | (91) $false
% 19.64/5.15 |
% 19.64/5.15 |-The branch is then unsatisfiable
% 19.64/5.15 |-Branch two:
% 19.64/5.15 | (357) (all_103_0_129 = 0 | ( ~ (all_163_1_135 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137 & greater(all_163_3_137, all_163_2_136) = all_163_1_135) | ( ~ (all_163_1_135 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140 & smaller_or_equal(all_163_6_140, all_163_5_139) = all_163_1_135)) & (all_62_5_79 = all_62_6_80 | ( ~ (all_163_2_136 = all_163_3_137) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137) | ( ~ (all_163_5_139 = all_163_6_140) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140)) & ((all_163_0_134 = 0 & greater(all_62_5_79, all_62_6_80) = 0) | ( ~ (all_163_0_134 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137 & smaller_or_equal(all_163_3_137, all_163_2_136) = all_163_0_134) | ( ~ (all_163_4_138 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140 & greater(all_163_6_140, all_163_5_139) = all_163_4_138))
% 19.64/5.16 |
% 19.64/5.16 | Applying alpha-rule on (357) yields:
% 19.64/5.16 | (358) all_103_0_129 = 0 | ( ~ (all_163_1_135 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137 & greater(all_163_3_137, all_163_2_136) = all_163_1_135) | ( ~ (all_163_1_135 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140 & smaller_or_equal(all_163_6_140, all_163_5_139) = all_163_1_135)
% 19.64/5.16 | (359) all_62_5_79 = all_62_6_80 | ( ~ (all_163_2_136 = all_163_3_137) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137) | ( ~ (all_163_5_139 = all_163_6_140) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140)
% 19.64/5.16 | (360) (all_163_0_134 = 0 & greater(all_62_5_79, all_62_6_80) = 0) | ( ~ (all_163_0_134 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137 & smaller_or_equal(all_163_3_137, all_163_2_136) = all_163_0_134) | ( ~ (all_163_4_138 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140 & greater(all_163_6_140, all_163_5_139) = all_163_4_138)
% 19.64/5.16 |
% 19.64/5.16 +-Applying beta-rule and splitting (313), into two cases.
% 19.64/5.16 |-Branch one:
% 19.64/5.16 | (361) ~ (all_167_6_168 = 0) & organization(all_0_17_17) = all_167_6_168
% 19.64/5.16 |
% 19.64/5.16 | Applying alpha-rule on (361) yields:
% 19.64/5.16 | (362) ~ (all_167_6_168 = 0)
% 19.64/5.16 | (363) organization(all_0_17_17) = all_167_6_168
% 19.64/5.16 |
% 19.64/5.16 | Instantiating formula (77) with all_0_17_17, all_167_6_168, 0 and discharging atoms organization(all_0_17_17) = all_167_6_168, organization(all_0_17_17) = 0, yields:
% 19.64/5.16 | (364) all_167_6_168 = 0
% 19.64/5.16 |
% 19.64/5.16 | Equations (364) can reduce 362 to:
% 19.64/5.16 | (91) $false
% 19.64/5.16 |
% 19.64/5.16 |-The branch is then unsatisfiable
% 19.64/5.16 |-Branch two:
% 19.64/5.16 | (366) ( ~ (all_93_4_124 = 0) | (all_167_0_162 = 0 & capability(all_0_17_17, all_0_15_15) = all_167_2_164 & capability(all_0_17_17, all_0_16_16) = all_167_3_165 & greater(all_167_3_165, all_167_2_164) = 0) | ( ~ (all_167_4_166 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168 & smaller_or_equal(all_167_6_168, all_167_5_167) = all_167_4_166)) & ((all_167_1_163 = 0 & capability(all_0_17_17, all_0_15_15) = all_167_2_164 & capability(all_0_17_17, all_0_16_16) = all_167_3_165 & smaller(all_167_3_165, all_167_2_164) = 0) | ( ~ (all_167_1_163 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168 & greater(all_167_6_168, all_167_5_167) = all_167_1_163) | ( ~ (all_167_1_163 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = all_167_1_163)) & ((all_167_2_164 = all_167_3_165 & capability(all_0_17_17, all_0_15_15) = all_167_3_165 & capability(all_0_17_17, all_0_16_16) = all_167_3_165) | ( ~ (all_167_5_167 = all_167_6_168) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168))
% 19.64/5.16 |
% 19.64/5.16 | Applying alpha-rule on (366) yields:
% 19.64/5.16 | (367) ~ (all_93_4_124 = 0) | (all_167_0_162 = 0 & capability(all_0_17_17, all_0_15_15) = all_167_2_164 & capability(all_0_17_17, all_0_16_16) = all_167_3_165 & greater(all_167_3_165, all_167_2_164) = 0) | ( ~ (all_167_4_166 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168 & smaller_or_equal(all_167_6_168, all_167_5_167) = all_167_4_166)
% 19.64/5.16 | (368) (all_167_1_163 = 0 & capability(all_0_17_17, all_0_15_15) = all_167_2_164 & capability(all_0_17_17, all_0_16_16) = all_167_3_165 & smaller(all_167_3_165, all_167_2_164) = 0) | ( ~ (all_167_1_163 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168 & greater(all_167_6_168, all_167_5_167) = all_167_1_163) | ( ~ (all_167_1_163 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = all_167_1_163)
% 19.64/5.16 | (369) (all_167_2_164 = all_167_3_165 & capability(all_0_17_17, all_0_15_15) = all_167_3_165 & capability(all_0_17_17, all_0_16_16) = all_167_3_165) | ( ~ (all_167_5_167 = all_167_6_168) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168)
% 19.64/5.16 |
% 19.64/5.16 +-Applying beta-rule and splitting (368), into two cases.
% 19.64/5.16 |-Branch one:
% 19.64/5.16 | (370) (all_167_1_163 = 0 & capability(all_0_17_17, all_0_15_15) = all_167_2_164 & capability(all_0_17_17, all_0_16_16) = all_167_3_165 & smaller(all_167_3_165, all_167_2_164) = 0) | ( ~ (all_167_1_163 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168 & greater(all_167_6_168, all_167_5_167) = all_167_1_163)
% 19.64/5.16 |
% 19.64/5.16 +-Applying beta-rule and splitting (370), into two cases.
% 19.64/5.16 |-Branch one:
% 19.64/5.16 | (371) all_167_1_163 = 0 & capability(all_0_17_17, all_0_15_15) = all_167_2_164 & capability(all_0_17_17, all_0_16_16) = all_167_3_165 & smaller(all_167_3_165, all_167_2_164) = 0
% 19.64/5.16 |
% 19.64/5.16 | Applying alpha-rule on (371) yields:
% 19.64/5.16 | (372) all_167_1_163 = 0
% 19.64/5.16 | (373) capability(all_0_17_17, all_0_15_15) = all_167_2_164
% 19.64/5.16 | (374) capability(all_0_17_17, all_0_16_16) = all_167_3_165
% 19.64/5.16 | (375) smaller(all_167_3_165, all_167_2_164) = 0
% 19.64/5.16 |
% 19.64/5.16 +-Applying beta-rule and splitting (358), into two cases.
% 19.64/5.16 |-Branch one:
% 19.64/5.16 | (376) all_103_0_129 = 0
% 19.64/5.16 |
% 19.64/5.16 | Equations (376) can reduce 162 to:
% 19.64/5.16 | (91) $false
% 19.64/5.16 |
% 19.64/5.16 |-The branch is then unsatisfiable
% 19.64/5.16 |-Branch two:
% 19.64/5.16 | (162) ~ (all_103_0_129 = 0)
% 19.64/5.16 | (379) ( ~ (all_163_1_135 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137 & greater(all_163_3_137, all_163_2_136) = all_163_1_135) | ( ~ (all_163_1_135 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140 & smaller_or_equal(all_163_6_140, all_163_5_139) = all_163_1_135)
% 19.64/5.16 |
% 19.64/5.16 | Instantiating formula (39) with all_0_17_17, all_0_15_15, all_167_2_164, all_62_6_80 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_167_2_164, capability(all_0_17_17, all_0_15_15) = all_62_6_80, yields:
% 19.64/5.16 | (380) all_167_2_164 = all_62_6_80
% 19.64/5.16 |
% 19.64/5.16 | Instantiating formula (39) with all_0_17_17, all_0_16_16, all_167_3_165, all_62_5_79 and discharging atoms capability(all_0_17_17, all_0_16_16) = all_167_3_165, capability(all_0_17_17, all_0_16_16) = all_62_5_79, yields:
% 19.64/5.16 | (381) all_167_3_165 = all_62_5_79
% 19.64/5.16 |
% 19.64/5.16 | From (381)(380) and (375) follows:
% 19.64/5.16 | (382) smaller(all_62_5_79, all_62_6_80) = 0
% 19.64/5.16 |
% 19.64/5.16 | Instantiating formula (40) with all_62_5_79, all_62_6_80, 0, all_103_0_129 and discharging atoms smaller(all_62_5_79, all_62_6_80) = all_103_0_129, smaller(all_62_5_79, all_62_6_80) = 0, yields:
% 19.64/5.16 | (376) all_103_0_129 = 0
% 19.64/5.16 |
% 19.64/5.16 | Equations (376) can reduce 162 to:
% 19.64/5.16 | (91) $false
% 19.64/5.16 |
% 19.64/5.16 |-The branch is then unsatisfiable
% 19.64/5.16 |-Branch two:
% 19.64/5.16 | (385) ~ (all_167_1_163 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167 & internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168 & greater(all_167_6_168, all_167_5_167) = all_167_1_163
% 19.64/5.16 |
% 19.64/5.16 | Applying alpha-rule on (385) yields:
% 19.64/5.16 | (386) ~ (all_167_1_163 = 0)
% 19.64/5.16 | (387) internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167
% 19.64/5.16 | (388) internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168
% 19.64/5.16 | (389) greater(all_167_6_168, all_167_5_167) = all_167_1_163
% 19.64/5.16 |
% 19.64/5.16 +-Applying beta-rule and splitting (358), into two cases.
% 19.64/5.16 |-Branch one:
% 19.64/5.16 | (376) all_103_0_129 = 0
% 19.64/5.16 |
% 19.64/5.16 | Equations (376) can reduce 162 to:
% 19.64/5.16 | (91) $false
% 19.64/5.16 |
% 19.64/5.16 |-The branch is then unsatisfiable
% 19.64/5.16 |-Branch two:
% 19.64/5.16 | (162) ~ (all_103_0_129 = 0)
% 19.64/5.16 | (379) ( ~ (all_163_1_135 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137 & greater(all_163_3_137, all_163_2_136) = all_163_1_135) | ( ~ (all_163_1_135 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140 & smaller_or_equal(all_163_6_140, all_163_5_139) = all_163_1_135)
% 19.64/5.16 |
% 19.64/5.16 +-Applying beta-rule and splitting (379), into two cases.
% 19.64/5.16 |-Branch one:
% 19.64/5.16 | (394) ~ (all_163_1_135 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136 & internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137 & greater(all_163_3_137, all_163_2_136) = all_163_1_135
% 19.64/5.16 |
% 19.64/5.16 | Applying alpha-rule on (394) yields:
% 19.64/5.16 | (395) ~ (all_163_1_135 = 0)
% 19.64/5.16 | (396) internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136
% 19.64/5.16 | (397) internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137
% 19.64/5.16 | (398) greater(all_163_3_137, all_163_2_136) = all_163_1_135
% 19.64/5.16 |
% 19.64/5.16 | Instantiating formula (7) with all_0_17_17, all_0_15_15, all_167_5_167, all_0_9_9 and discharging atoms internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167, internal_friction(all_0_17_17, all_0_15_15) = all_0_9_9, yields:
% 19.64/5.16 | (399) all_167_5_167 = all_0_9_9
% 19.64/5.16 |
% 19.64/5.16 | Instantiating formula (7) with all_0_17_17, all_0_15_15, all_163_2_136, all_167_5_167 and discharging atoms internal_friction(all_0_17_17, all_0_15_15) = all_167_5_167, internal_friction(all_0_17_17, all_0_15_15) = all_163_2_136, yields:
% 19.64/5.16 | (400) all_167_5_167 = all_163_2_136
% 19.64/5.16 |
% 19.64/5.16 | Instantiating formula (7) with all_0_17_17, all_0_16_16, all_167_6_168, all_0_8_8 and discharging atoms internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168, internal_friction(all_0_17_17, all_0_16_16) = all_0_8_8, yields:
% 19.64/5.16 | (401) all_167_6_168 = all_0_8_8
% 19.64/5.16 |
% 19.64/5.16 | Instantiating formula (7) with all_0_17_17, all_0_16_16, all_163_3_137, all_167_6_168 and discharging atoms internal_friction(all_0_17_17, all_0_16_16) = all_167_6_168, internal_friction(all_0_17_17, all_0_16_16) = all_163_3_137, yields:
% 19.64/5.16 | (402) all_167_6_168 = all_163_3_137
% 19.64/5.16 |
% 19.64/5.16 | Combining equations (399,400) yields a new equation:
% 19.64/5.16 | (403) all_163_2_136 = all_0_9_9
% 19.64/5.16 |
% 19.64/5.16 | Combining equations (401,402) yields a new equation:
% 19.64/5.16 | (404) all_163_3_137 = all_0_8_8
% 19.64/5.16 |
% 19.64/5.16 | Combining equations (404,402) yields a new equation:
% 19.64/5.16 | (401) all_167_6_168 = all_0_8_8
% 19.64/5.16 |
% 19.64/5.16 | Combining equations (403,400) yields a new equation:
% 19.64/5.16 | (399) all_167_5_167 = all_0_9_9
% 19.64/5.16 |
% 19.64/5.16 | From (401)(399) and (389) follows:
% 19.64/5.16 | (407) greater(all_0_8_8, all_0_9_9) = all_167_1_163
% 19.64/5.16 |
% 19.64/5.16 | From (404)(403) and (398) follows:
% 19.64/5.16 | (408) greater(all_0_8_8, all_0_9_9) = all_163_1_135
% 19.64/5.16 |
% 19.64/5.16 | Instantiating formula (47) with all_0_8_8, all_0_9_9, all_167_1_163, 0 and discharging atoms greater(all_0_8_8, all_0_9_9) = all_167_1_163, greater(all_0_8_8, all_0_9_9) = 0, yields:
% 19.64/5.16 | (372) all_167_1_163 = 0
% 19.64/5.16 |
% 19.64/5.16 | Instantiating formula (47) with all_0_8_8, all_0_9_9, all_163_1_135, all_167_1_163 and discharging atoms greater(all_0_8_8, all_0_9_9) = all_167_1_163, greater(all_0_8_8, all_0_9_9) = all_163_1_135, yields:
% 19.64/5.16 | (410) all_167_1_163 = all_163_1_135
% 19.64/5.16 |
% 19.64/5.16 | Combining equations (372,410) yields a new equation:
% 19.64/5.16 | (411) all_163_1_135 = 0
% 19.64/5.16 |
% 19.64/5.17 | Equations (411) can reduce 395 to:
% 19.64/5.17 | (91) $false
% 19.64/5.17 |
% 19.64/5.17 |-The branch is then unsatisfiable
% 19.64/5.17 |-Branch two:
% 19.64/5.17 | (413) ~ (all_163_1_135 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140 & smaller_or_equal(all_163_6_140, all_163_5_139) = all_163_1_135
% 19.64/5.17 |
% 19.64/5.17 | Applying alpha-rule on (413) yields:
% 19.64/5.17 | (395) ~ (all_163_1_135 = 0)
% 19.64/5.17 | (415) stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139
% 19.64/5.17 | (416) stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140
% 19.64/5.17 | (417) smaller_or_equal(all_163_6_140, all_163_5_139) = all_163_1_135
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (63) with all_0_17_17, all_0_15_15, all_163_5_139, all_0_12_12 and discharging atoms stock_of_knowledge(all_0_17_17, all_0_15_15) = all_163_5_139, stock_of_knowledge(all_0_17_17, all_0_15_15) = all_0_12_12, yields:
% 19.64/5.17 | (418) all_163_5_139 = all_0_12_12
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (63) with all_0_17_17, all_0_16_16, all_163_6_140, all_0_12_12 and discharging atoms stock_of_knowledge(all_0_17_17, all_0_16_16) = all_163_6_140, stock_of_knowledge(all_0_17_17, all_0_16_16) = all_0_12_12, yields:
% 19.64/5.17 | (419) all_163_6_140 = all_0_12_12
% 19.64/5.17 |
% 19.64/5.17 | From (419)(418) and (417) follows:
% 19.64/5.17 | (420) smaller_or_equal(all_0_12_12, all_0_12_12) = all_163_1_135
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (24) with all_163_1_135, all_0_12_12 and discharging atoms smaller_or_equal(all_0_12_12, all_0_12_12) = all_163_1_135, yields:
% 19.64/5.17 | (411) all_163_1_135 = 0
% 19.64/5.17 |
% 19.64/5.17 | Equations (411) can reduce 395 to:
% 19.64/5.17 | (91) $false
% 19.64/5.17 |
% 19.64/5.17 |-The branch is then unsatisfiable
% 19.64/5.17 |-Branch two:
% 19.64/5.17 | (423) ~ (all_167_1_163 = 0) & smaller_or_equal(all_0_12_12, all_0_12_12) = all_167_1_163
% 19.64/5.17 |
% 19.64/5.17 | Applying alpha-rule on (423) yields:
% 19.64/5.17 | (386) ~ (all_167_1_163 = 0)
% 19.64/5.17 | (425) smaller_or_equal(all_0_12_12, all_0_12_12) = all_167_1_163
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (19) with all_0_12_12, all_0_12_12, 0, all_167_1_163 and discharging atoms smaller_or_equal(all_0_12_12, all_0_12_12) = all_167_1_163, smaller_or_equal(all_0_12_12, all_0_12_12) = 0, yields:
% 19.64/5.17 | (372) all_167_1_163 = 0
% 19.64/5.17 |
% 19.64/5.17 | Equations (372) can reduce 386 to:
% 19.64/5.17 | (91) $false
% 19.64/5.17 |
% 19.64/5.17 |-The branch is then unsatisfiable
% 19.64/5.17 |-Branch two:
% 19.64/5.17 | (428) ~ (smaller(all_0_9_9, all_0_8_8) = 0)
% 19.64/5.17 | (429) all_0_8_8 = all_0_9_9
% 19.64/5.17 |
% 19.64/5.17 | From (429) and (33) follows:
% 19.64/5.17 | (430) internal_friction(all_0_17_17, all_0_16_16) = all_0_9_9
% 19.64/5.17 |
% 19.64/5.17 +-Applying beta-rule and splitting (217), into two cases.
% 19.64/5.17 |-Branch one:
% 19.64/5.17 | (431) all_62_5_79 = all_62_6_80
% 19.64/5.17 |
% 19.64/5.17 | From (431) and (141) follows:
% 19.64/5.17 | (432) greater_or_equal(all_62_6_80, all_62_6_80) = all_62_0_74
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (45) with all_62_0_74, all_62_6_80 and discharging atoms greater_or_equal(all_62_6_80, all_62_6_80) = all_62_0_74, yields:
% 19.64/5.17 | (127) all_62_0_74 = 0
% 19.64/5.17 |
% 19.64/5.17 | Equations (127) can reduce 140 to:
% 19.64/5.17 | (91) $false
% 19.64/5.17 |
% 19.64/5.17 |-The branch is then unsatisfiable
% 19.64/5.17 |-Branch two:
% 19.64/5.17 | (435) ~ (all_62_5_79 = all_62_6_80)
% 19.64/5.17 | (436) ( ~ (all_93_2_122 = all_93_3_123) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122) | ( ~ (all_93_5_125 = all_93_6_126) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125)
% 19.64/5.17 |
% 19.64/5.17 +-Applying beta-rule and splitting (436), into two cases.
% 19.64/5.17 |-Branch one:
% 19.64/5.17 | (437) ~ (all_93_2_122 = all_93_3_123) & internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123 & internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122
% 19.64/5.17 |
% 19.64/5.17 | Applying alpha-rule on (437) yields:
% 19.64/5.17 | (438) ~ (all_93_2_122 = all_93_3_123)
% 19.64/5.17 | (261) internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123
% 19.64/5.17 | (262) internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (7) with all_0_17_17, all_0_15_15, all_93_3_123, all_0_9_9 and discharging atoms internal_friction(all_0_17_17, all_0_15_15) = all_93_3_123, internal_friction(all_0_17_17, all_0_15_15) = all_0_9_9, yields:
% 19.64/5.17 | (264) all_93_3_123 = all_0_9_9
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (7) with all_0_17_17, all_0_16_16, all_0_9_9, all_93_2_122 and discharging atoms internal_friction(all_0_17_17, all_0_16_16) = all_93_2_122, internal_friction(all_0_17_17, all_0_16_16) = all_0_9_9, yields:
% 19.64/5.17 | (442) all_93_2_122 = all_0_9_9
% 19.64/5.17 |
% 19.64/5.17 | Equations (442,264) can reduce 438 to:
% 19.64/5.17 | (91) $false
% 19.64/5.17 |
% 19.64/5.17 |-The branch is then unsatisfiable
% 19.64/5.17 |-Branch two:
% 19.64/5.17 | (444) ~ (all_93_5_125 = all_93_6_126) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125
% 19.64/5.17 |
% 19.64/5.17 | Applying alpha-rule on (444) yields:
% 19.64/5.17 | (445) ~ (all_93_5_125 = all_93_6_126)
% 19.64/5.17 | (271) stock_of_knowledge(all_0_17_17, all_0_15_15) = all_93_6_126
% 19.64/5.17 | (272) stock_of_knowledge(all_0_17_17, all_0_16_16) = all_93_5_125
% 19.64/5.17 |
% 19.64/5.17 | Equations (299,282) can reduce 445 to:
% 19.64/5.17 | (91) $false
% 19.64/5.17 |
% 19.64/5.17 |-The branch is then unsatisfiable
% 19.64/5.17 |-Branch two:
% 19.64/5.17 | (449) ~ (all_164_5_146 = all_164_6_147) & internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146 & internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147
% 19.64/5.17 |
% 19.64/5.17 | Applying alpha-rule on (449) yields:
% 19.64/5.17 | (450) ~ (all_164_5_146 = all_164_6_147)
% 19.64/5.17 | (451) internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146
% 19.64/5.17 | (452) internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (7) with all_0_17_17, all_0_16_16, all_164_5_146, all_0_8_8 and discharging atoms internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146, internal_friction(all_0_17_17, all_0_16_16) = all_0_8_8, yields:
% 19.64/5.17 | (453) all_164_5_146 = all_0_8_8
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (7) with all_0_17_17, all_0_16_16, all_164_6_147, all_164_5_146 and discharging atoms internal_friction(all_0_17_17, all_0_16_16) = all_164_5_146, internal_friction(all_0_17_17, all_0_16_16) = all_164_6_147, yields:
% 19.64/5.17 | (454) all_164_5_146 = all_164_6_147
% 19.64/5.17 |
% 19.64/5.17 | Combining equations (453,454) yields a new equation:
% 19.64/5.17 | (455) all_164_6_147 = all_0_8_8
% 19.64/5.17 |
% 19.64/5.17 | Combining equations (455,454) yields a new equation:
% 19.64/5.17 | (453) all_164_5_146 = all_0_8_8
% 19.64/5.17 |
% 19.64/5.17 | Equations (453,455) can reduce 450 to:
% 19.64/5.17 | (91) $false
% 19.64/5.17 |
% 19.64/5.17 |-The branch is then unsatisfiable
% 19.64/5.17 |-Branch two:
% 19.64/5.17 | (458) ~ (all_166_5_160 = all_166_6_161) & internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160 & internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161
% 19.64/5.17 |
% 19.64/5.17 | Applying alpha-rule on (458) yields:
% 19.64/5.17 | (459) ~ (all_166_5_160 = all_166_6_161)
% 19.64/5.17 | (460) internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160
% 19.64/5.17 | (461) internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (7) with all_0_17_17, all_0_15_15, all_166_5_160, all_0_9_9 and discharging atoms internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160, internal_friction(all_0_17_17, all_0_15_15) = all_0_9_9, yields:
% 19.64/5.17 | (462) all_166_5_160 = all_0_9_9
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (7) with all_0_17_17, all_0_15_15, all_166_6_161, all_166_5_160 and discharging atoms internal_friction(all_0_17_17, all_0_15_15) = all_166_5_160, internal_friction(all_0_17_17, all_0_15_15) = all_166_6_161, yields:
% 19.64/5.17 | (463) all_166_5_160 = all_166_6_161
% 19.64/5.17 |
% 19.64/5.17 | Combining equations (462,463) yields a new equation:
% 19.64/5.17 | (464) all_166_6_161 = all_0_9_9
% 19.64/5.17 |
% 19.64/5.17 | Combining equations (464,463) yields a new equation:
% 19.64/5.17 | (462) all_166_5_160 = all_0_9_9
% 19.64/5.17 |
% 19.64/5.17 | Equations (462,464) can reduce 459 to:
% 19.64/5.17 | (91) $false
% 19.64/5.17 |
% 19.64/5.17 |-The branch is then unsatisfiable
% 19.64/5.17 |-Branch two:
% 19.64/5.17 | (467) ~ (all_50_2_71 = 0) & organization(all_0_17_17) = all_50_2_71
% 19.64/5.17 |
% 19.64/5.17 | Applying alpha-rule on (467) yields:
% 19.64/5.17 | (468) ~ (all_50_2_71 = 0)
% 19.64/5.17 | (469) organization(all_0_17_17) = all_50_2_71
% 19.64/5.17 |
% 19.64/5.17 | Instantiating formula (77) with all_0_17_17, all_50_2_71, 0 and discharging atoms organization(all_0_17_17) = all_50_2_71, organization(all_0_17_17) = 0, yields:
% 19.64/5.17 | (470) all_50_2_71 = 0
% 19.64/5.17 |
% 19.64/5.17 | Equations (470) can reduce 468 to:
% 19.64/5.17 | (91) $false
% 19.64/5.17 |
% 19.64/5.17 |-The branch is then unsatisfiable
% 19.64/5.17 |-Branch two:
% 19.64/5.17 | (472) all_0_5_5 = 0 & all_0_10_10 = 0 & greater(all_0_12_12, all_0_11_11) = 0 & greater_or_equal(all_0_7_7, all_0_6_6) = 0
% 19.64/5.17 |
% 19.64/5.17 | Applying alpha-rule on (472) yields:
% 19.64/5.17 | (473) all_0_5_5 = 0
% 19.64/5.17 | (474) all_0_10_10 = 0
% 19.64/5.17 | (294) greater(all_0_12_12, all_0_11_11) = 0
% 19.64/5.17 | (476) greater_or_equal(all_0_7_7, all_0_6_6) = 0
% 19.64/5.18 |
% 19.64/5.18 +-Applying beta-rule and splitting (83), into two cases.
% 19.64/5.18 |-Branch one:
% 19.64/5.18 | (477) ~ (all_32_6_59 = 0) & organization(all_0_17_17) = all_32_6_59
% 19.64/5.18 |
% 19.64/5.18 | Applying alpha-rule on (477) yields:
% 19.64/5.18 | (478) ~ (all_32_6_59 = 0)
% 19.64/5.18 | (479) organization(all_0_17_17) = all_32_6_59
% 19.64/5.18 |
% 19.64/5.18 | Instantiating formula (77) with all_0_17_17, all_32_6_59, 0 and discharging atoms organization(all_0_17_17) = all_32_6_59, organization(all_0_17_17) = 0, yields:
% 19.64/5.18 | (480) all_32_6_59 = 0
% 19.64/5.18 |
% 19.64/5.18 | Equations (480) can reduce 478 to:
% 19.64/5.18 | (91) $false
% 19.64/5.18 |
% 19.64/5.18 |-The branch is then unsatisfiable
% 19.64/5.18 |-Branch two:
% 19.64/5.18 | (482) ( ~ (all_0_8_8 = all_0_9_9) | (all_32_2_55 = all_32_3_56 & capability(all_0_17_17, all_0_15_15) = all_32_3_56 & capability(all_0_17_17, all_0_16_16) = all_32_3_56) | ( ~ (all_32_5_58 = all_32_6_59) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58)) & ((all_32_0_53 = 0 & capability(all_0_17_17, all_0_15_15) = all_32_3_56 & capability(all_0_17_17, all_0_16_16) = all_32_2_55 & greater(all_32_3_56, all_32_2_55) = 0) | ( ~ (all_32_4_57 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58 & greater(all_32_6_59, all_32_5_58) = all_32_4_57)) & ((all_32_1_54 = 0 & capability(all_0_17_17, all_0_15_15) = all_32_3_56 & capability(all_0_17_17, all_0_16_16) = all_32_2_55 & smaller(all_32_3_56, all_32_2_55) = 0) | ( ~ (all_32_1_54 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58 & smaller_or_equal(all_32_6_59, all_32_5_58) = all_32_1_54) | ( ~ (all_32_1_54 = 0) & greater(all_0_9_9, all_0_8_8) = all_32_1_54))
% 19.64/5.18 |
% 19.64/5.18 | Applying alpha-rule on (482) yields:
% 19.64/5.18 | (483) ~ (all_0_8_8 = all_0_9_9) | (all_32_2_55 = all_32_3_56 & capability(all_0_17_17, all_0_15_15) = all_32_3_56 & capability(all_0_17_17, all_0_16_16) = all_32_3_56) | ( ~ (all_32_5_58 = all_32_6_59) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58)
% 19.64/5.18 | (484) (all_32_0_53 = 0 & capability(all_0_17_17, all_0_15_15) = all_32_3_56 & capability(all_0_17_17, all_0_16_16) = all_32_2_55 & greater(all_32_3_56, all_32_2_55) = 0) | ( ~ (all_32_4_57 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58 & greater(all_32_6_59, all_32_5_58) = all_32_4_57)
% 19.64/5.18 | (485) (all_32_1_54 = 0 & capability(all_0_17_17, all_0_15_15) = all_32_3_56 & capability(all_0_17_17, all_0_16_16) = all_32_2_55 & smaller(all_32_3_56, all_32_2_55) = 0) | ( ~ (all_32_1_54 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58 & smaller_or_equal(all_32_6_59, all_32_5_58) = all_32_1_54) | ( ~ (all_32_1_54 = 0) & greater(all_0_9_9, all_0_8_8) = all_32_1_54)
% 19.64/5.18 |
% 19.64/5.18 +-Applying beta-rule and splitting (80), into two cases.
% 19.64/5.18 |-Branch one:
% 19.64/5.18 | (90) all_0_2_2 = 0
% 19.64/5.18 |
% 19.64/5.18 | Equations (90) can reduce 55 to:
% 19.64/5.18 | (91) $false
% 19.64/5.18 |
% 19.64/5.18 |-The branch is then unsatisfiable
% 19.64/5.18 |-Branch two:
% 19.64/5.18 | (55) ~ (all_0_2_2 = 0)
% 19.64/5.18 | (93) ? [v0] : ( ~ (v0 = 0) & greater(all_0_3_3, all_0_4_4) = v0)
% 19.64/5.18 |
% 19.64/5.18 +-Applying beta-rule and splitting (484), into two cases.
% 19.64/5.18 |-Branch one:
% 19.64/5.18 | (490) all_32_0_53 = 0 & capability(all_0_17_17, all_0_15_15) = all_32_3_56 & capability(all_0_17_17, all_0_16_16) = all_32_2_55 & greater(all_32_3_56, all_32_2_55) = 0
% 19.64/5.18 |
% 19.64/5.18 | Applying alpha-rule on (490) yields:
% 19.64/5.18 | (491) all_32_0_53 = 0
% 19.64/5.18 | (492) capability(all_0_17_17, all_0_15_15) = all_32_3_56
% 19.64/5.18 | (493) capability(all_0_17_17, all_0_16_16) = all_32_2_55
% 19.64/5.18 | (494) greater(all_32_3_56, all_32_2_55) = 0
% 19.64/5.18 |
% 19.64/5.18 +-Applying beta-rule and splitting (84), into two cases.
% 19.64/5.18 |-Branch one:
% 19.64/5.18 | (495) (all_33_6_66 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_33_6_66 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_33_6_66 = 0) & organization(all_0_17_17) = all_33_6_66)
% 19.64/5.18 |
% 19.64/5.18 +-Applying beta-rule and splitting (495), into two cases.
% 19.64/5.18 |-Branch one:
% 19.64/5.18 | (496) (all_33_6_66 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_33_6_66 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0)
% 19.64/5.18 |
% 19.64/5.18 +-Applying beta-rule and splitting (496), into two cases.
% 19.64/5.18 |-Branch one:
% 19.64/5.18 | (497) all_33_6_66 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0
% 19.64/5.18 |
% 19.64/5.18 | Applying alpha-rule on (497) yields:
% 19.64/5.18 | (498) all_33_6_66 = 0
% 19.64/5.18 | (110) has_immunity(all_0_17_17, all_0_15_15) = 0
% 19.64/5.18 |
% 19.64/5.18 | Instantiating formula (31) with all_0_17_17, all_0_15_15, 0, all_0_13_13 and discharging atoms has_immunity(all_0_17_17, all_0_15_15) = all_0_13_13, has_immunity(all_0_17_17, all_0_15_15) = 0, yields:
% 19.64/5.18 | (111) all_0_13_13 = 0
% 19.64/5.18 |
% 19.64/5.18 | Equations (111) can reduce 17 to:
% 19.64/5.18 | (91) $false
% 19.64/5.18 |
% 19.64/5.18 |-The branch is then unsatisfiable
% 19.64/5.18 |-Branch two:
% 19.64/5.18 | (502) all_33_6_66 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0
% 19.64/5.18 |
% 19.64/5.18 | Applying alpha-rule on (502) yields:
% 19.64/5.18 | (498) all_33_6_66 = 0
% 19.64/5.18 | (115) has_immunity(all_0_17_17, all_0_16_16) = 0
% 19.64/5.18 |
% 19.64/5.18 | Instantiating formula (31) with all_0_17_17, all_0_16_16, 0, all_0_14_14 and discharging atoms has_immunity(all_0_17_17, all_0_16_16) = all_0_14_14, has_immunity(all_0_17_17, all_0_16_16) = 0, yields:
% 19.64/5.18 | (116) all_0_14_14 = 0
% 19.64/5.18 |
% 19.64/5.18 | Equations (116) can reduce 69 to:
% 19.64/5.18 | (91) $false
% 19.64/5.18 |
% 19.64/5.18 |-The branch is then unsatisfiable
% 19.64/5.18 |-Branch two:
% 19.64/5.18 | (507) ~ (all_33_6_66 = 0) & organization(all_0_17_17) = all_33_6_66
% 19.64/5.18 |
% 19.64/5.18 | Applying alpha-rule on (507) yields:
% 19.64/5.18 | (508) ~ (all_33_6_66 = 0)
% 19.64/5.18 | (509) organization(all_0_17_17) = all_33_6_66
% 19.64/5.18 |
% 19.64/5.18 | Instantiating formula (77) with all_0_17_17, all_33_6_66, 0 and discharging atoms organization(all_0_17_17) = all_33_6_66, organization(all_0_17_17) = 0, yields:
% 19.64/5.18 | (498) all_33_6_66 = 0
% 19.64/5.18 |
% 19.64/5.18 | Equations (498) can reduce 508 to:
% 19.64/5.18 | (91) $false
% 19.64/5.18 |
% 19.64/5.18 |-The branch is then unsatisfiable
% 19.64/5.18 |-Branch two:
% 19.64/5.18 | (512) (all_0_2_2 = 0 | ((( ~ (all_33_0_60 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60) | ( ~ (all_33_4_64 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater(all_33_6_66, all_33_5_65) = all_33_4_64)) & (( ~ (all_33_1_61 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater(all_33_3_63, all_33_2_62) = all_33_1_61) | ( ~ (all_33_1_61 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater_or_equal(all_33_6_66, all_33_5_65) = all_33_1_61)))) & (all_0_3_3 = all_0_4_4 | ( ~ (all_33_2_62 = all_33_3_63) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62) | ( ~ (all_33_5_65 = all_33_6_66) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65))
% 19.64/5.18 |
% 19.64/5.18 | Applying alpha-rule on (512) yields:
% 19.64/5.18 | (513) all_0_2_2 = 0 | ((( ~ (all_33_0_60 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60) | ( ~ (all_33_4_64 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater(all_33_6_66, all_33_5_65) = all_33_4_64)) & (( ~ (all_33_1_61 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater(all_33_3_63, all_33_2_62) = all_33_1_61) | ( ~ (all_33_1_61 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater_or_equal(all_33_6_66, all_33_5_65) = all_33_1_61)))
% 19.64/5.18 | (514) all_0_3_3 = all_0_4_4 | ( ~ (all_33_2_62 = all_33_3_63) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62) | ( ~ (all_33_5_65 = all_33_6_66) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65)
% 19.64/5.18 |
% 19.64/5.18 +-Applying beta-rule and splitting (513), into two cases.
% 19.64/5.18 |-Branch one:
% 19.64/5.18 | (90) all_0_2_2 = 0
% 19.64/5.18 |
% 19.64/5.18 | Equations (90) can reduce 55 to:
% 19.64/5.18 | (91) $false
% 19.64/5.18 |
% 19.64/5.18 |-The branch is then unsatisfiable
% 19.64/5.18 |-Branch two:
% 19.64/5.18 | (55) ~ (all_0_2_2 = 0)
% 19.64/5.18 | (518) (( ~ (all_33_0_60 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60) | ( ~ (all_33_4_64 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater(all_33_6_66, all_33_5_65) = all_33_4_64)) & (( ~ (all_33_1_61 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater(all_33_3_63, all_33_2_62) = all_33_1_61) | ( ~ (all_33_1_61 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater_or_equal(all_33_6_66, all_33_5_65) = all_33_1_61))
% 19.64/5.18 |
% 19.64/5.18 | Applying alpha-rule on (518) yields:
% 19.64/5.18 | (519) ( ~ (all_33_0_60 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60) | ( ~ (all_33_4_64 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater(all_33_6_66, all_33_5_65) = all_33_4_64)
% 19.64/5.18 | (520) ( ~ (all_33_1_61 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater(all_33_3_63, all_33_2_62) = all_33_1_61) | ( ~ (all_33_1_61 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater_or_equal(all_33_6_66, all_33_5_65) = all_33_1_61)
% 19.64/5.18 |
% 19.64/5.18 +-Applying beta-rule and splitting (519), into two cases.
% 19.64/5.18 |-Branch one:
% 19.64/5.18 | (521) ~ (all_33_0_60 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60
% 19.64/5.18 |
% 19.64/5.18 | Applying alpha-rule on (521) yields:
% 19.64/5.18 | (522) ~ (all_33_0_60 = 0)
% 19.64/5.18 | (523) position(all_0_17_17, all_0_15_15) = all_33_3_63
% 19.64/5.18 | (524) position(all_0_17_17, all_0_16_16) = all_33_2_62
% 19.64/5.18 | (525) greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60
% 19.64/5.18 |
% 19.64/5.18 | Instantiating formula (12) with 0, all_32_2_55, all_32_3_56, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_32_3_56, capability(all_0_17_17, all_0_16_16) = all_32_2_55, greater(all_32_3_56, all_32_2_55) = 0, yields:
% 19.64/5.18 | (526) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v0 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (v0 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_32_2_55 = all_32_3_56) | (v4 = v3 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v3 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v3) | ( ~ (v1 = v0) & position(all_0_17_17, all_0_15_15) = v0 & position(all_0_17_17, all_0_16_16) = v1)) & ((v5 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v3 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v4 & smaller(v3, v4) = 0) | ( ~ (v2 = 0) & position(all_0_17_17, all_0_15_15) = v0 & position(all_0_17_17, all_0_16_16) = v1 & greater_or_equal(v0, v1) = v2 & (( ~ (v5 = 0) & greater(v0, v1) = v5) | ( ~ (v5 = 0) & greater_or_equal(all_32_3_56, all_32_2_55) = v5))))))
% 19.64/5.19 |
% 19.64/5.19 | Instantiating formula (68) with all_32_2_55, all_32_3_56 and discharging atoms greater(all_32_3_56, all_32_2_55) = 0, yields:
% 19.64/5.19 | (527) greater_or_equal(all_32_3_56, all_32_2_55) = 0
% 19.64/5.19 |
% 19.64/5.19 | Instantiating formula (30) with 0, all_0_11_11, all_0_12_12, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms stock_of_knowledge(all_0_17_17, all_0_15_15) = all_0_12_12, stock_of_knowledge(all_0_17_17, all_0_16_16) = all_0_11_11, greater(all_0_12_12, all_0_11_11) = 0, yields:
% 19.64/5.19 | (528) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_0_11_11 = all_0_12_12) | (v4 = v3 & capability(all_0_17_17, all_0_15_15) = v3 & capability(all_0_17_17, all_0_16_16) = v3) | ( ~ (v1 = v0) & internal_friction(all_0_17_17, all_0_15_15) = v0 & internal_friction(all_0_17_17, all_0_16_16) = v1)) & ((v6 = 0 & capability(all_0_17_17, all_0_15_15) = v3 & capability(all_0_17_17, all_0_16_16) = v4 & greater(v3, v4) = 0) | ( ~ (v2 = 0) & internal_friction(all_0_17_17, all_0_15_15) = v0 & internal_friction(all_0_17_17, all_0_16_16) = v1 & smaller_or_equal(v0, v1) = v2)) & ((v5 = 0 & capability(all_0_17_17, all_0_15_15) = v3 & capability(all_0_17_17, all_0_16_16) = v4 & smaller(v3, v4) = 0) | ( ~ (v5 = 0) & internal_friction(all_0_17_17, all_0_15_15) = v0 & internal_friction(all_0_17_17, all_0_16_16) = v1 & greater(v0, v1) = v5) | ( ~ (v5 = 0) & smaller_or_equal(all_0_12_12, all_0_11_11) = v5))))
% 19.64/5.19 |
% 19.64/5.19 | Instantiating formula (34) with all_33_0_60, all_33_2_62, all_33_3_63, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms position(all_0_17_17, all_0_15_15) = all_33_3_63, position(all_0_17_17, all_0_16_16) = all_33_2_62, greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60, yields:
% 19.64/5.19 | (529) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v0 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (v0 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_33_2_62 = all_33_3_63) | (v4 = v3 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v3 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v3) | ( ~ (v1 = v0) & capability(all_0_17_17, all_0_15_15) = v0 & capability(all_0_17_17, all_0_16_16) = v1)) & ((v5 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v3 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v4 & smaller(v3, v4) = 0) | (( ~ (all_33_0_60 = 0) | ( ~ (v2 = 0) & capability(all_0_17_17, all_0_15_15) = v0 & capability(all_0_17_17, all_0_16_16) = v1 & greater(v0, v1) = v2)) & (( ~ (v5 = 0) & capability(all_0_17_17, all_0_15_15) = v0 & capability(all_0_17_17, all_0_16_16) = v1 & greater_or_equal(v0, v1) = v5) | ( ~ (v5 = 0) & greater(all_33_3_63, all_33_2_62) = v5))))))
% 19.64/5.19 |
% 19.64/5.19 | Instantiating formula (14) with all_33_0_60, all_33_2_62, all_33_3_63 and discharging atoms greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60, yields:
% 19.64/5.19 | (530) all_33_0_60 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_33_3_63, all_33_2_62) = v0)
% 19.64/5.19 |
% 19.64/5.19 | Instantiating formula (26) with all_0_6_6, all_0_7_7 and discharging atoms greater_or_equal(all_0_7_7, all_0_6_6) = 0, yields:
% 19.64/5.19 | (531) all_0_6_6 = all_0_7_7 | greater(all_0_7_7, all_0_6_6) = 0
% 19.64/5.19 |
% 19.64/5.19 | Instantiating (528) with all_65_0_192, all_65_1_193, all_65_2_194, all_65_3_195, all_65_4_196, all_65_5_197, all_65_6_198 yields:
% 19.64/5.19 | (532) ( ~ (all_65_6_198 = 0) & organization(all_0_17_17) = all_65_6_198) | (( ~ (all_0_11_11 = all_0_12_12) | (all_65_2_194 = all_65_3_195 & capability(all_0_17_17, all_0_15_15) = all_65_3_195 & capability(all_0_17_17, all_0_16_16) = all_65_3_195) | ( ~ (all_65_5_197 = all_65_6_198) & internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198 & internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197)) & ((all_65_0_192 = 0 & capability(all_0_17_17, all_0_15_15) = all_65_3_195 & capability(all_0_17_17, all_0_16_16) = all_65_2_194 & greater(all_65_3_195, all_65_2_194) = 0) | ( ~ (all_65_4_196 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198 & internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197 & smaller_or_equal(all_65_6_198, all_65_5_197) = all_65_4_196)) & ((all_65_1_193 = 0 & capability(all_0_17_17, all_0_15_15) = all_65_3_195 & capability(all_0_17_17, all_0_16_16) = all_65_2_194 & smaller(all_65_3_195, all_65_2_194) = 0) | ( ~ (all_65_1_193 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198 & internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197 & greater(all_65_6_198, all_65_5_197) = all_65_1_193) | ( ~ (all_65_1_193 = 0) & smaller_or_equal(all_0_12_12, all_0_11_11) = all_65_1_193)))
% 19.64/5.19 |
% 19.64/5.19 | Instantiating (526) with all_66_0_199, all_66_1_200, all_66_2_201, all_66_3_202, all_66_4_203, all_66_5_204 yields:
% 19.64/5.19 | (533) (all_66_5_204 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_66_5_204 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_66_5_204 = 0) & organization(all_0_17_17) = all_66_5_204) | (( ~ (all_32_2_55 = all_32_3_56) | (all_66_1_200 = all_66_2_201 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_66_2_201 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_66_2_201) | ( ~ (all_66_4_203 = all_66_5_204) & position(all_0_17_17, all_0_15_15) = all_66_5_204 & position(all_0_17_17, all_0_16_16) = all_66_4_203)) & ((all_66_0_199 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_66_2_201 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_66_1_200 & smaller(all_66_2_201, all_66_1_200) = 0) | ( ~ (all_66_3_202 = 0) & position(all_0_17_17, all_0_15_15) = all_66_5_204 & position(all_0_17_17, all_0_16_16) = all_66_4_203 & greater_or_equal(all_66_5_204, all_66_4_203) = all_66_3_202 & (( ~ (all_66_0_199 = 0) & greater(all_66_5_204, all_66_4_203) = all_66_0_199) | ( ~ (all_66_0_199 = 0) & greater_or_equal(all_32_3_56, all_32_2_55) = all_66_0_199)))))
% 20.01/5.20 |
% 20.01/5.20 | Instantiating (529) with all_70_0_211, all_70_1_212, all_70_2_213, all_70_3_214, all_70_4_215, all_70_5_216 yields:
% 20.01/5.20 | (534) (all_70_5_216 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_70_5_216 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_70_5_216 = 0) & organization(all_0_17_17) = all_70_5_216) | (( ~ (all_33_2_62 = all_33_3_63) | (all_70_1_212 = all_70_2_213 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_70_2_213 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_70_2_213) | ( ~ (all_70_4_215 = all_70_5_216) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215)) & ((all_70_0_211 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_70_2_213 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_70_1_212 & smaller(all_70_2_213, all_70_1_212) = 0) | (( ~ (all_33_0_60 = 0) | ( ~ (all_70_3_214 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater(all_70_5_216, all_70_4_215) = all_70_3_214)) & (( ~ (all_70_0_211 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater_or_equal(all_70_5_216, all_70_4_215) = all_70_0_211) | ( ~ (all_70_0_211 = 0) & greater(all_33_3_63, all_33_2_62) = all_70_0_211)))))
% 20.01/5.20 |
% 20.01/5.20 +-Applying beta-rule and splitting (533), into two cases.
% 20.01/5.20 |-Branch one:
% 20.01/5.20 | (535) (all_66_5_204 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_66_5_204 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_66_5_204 = 0) & organization(all_0_17_17) = all_66_5_204)
% 20.01/5.20 |
% 20.01/5.20 +-Applying beta-rule and splitting (535), into two cases.
% 20.01/5.20 |-Branch one:
% 20.01/5.20 | (536) (all_66_5_204 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_66_5_204 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0)
% 20.01/5.20 |
% 20.01/5.20 +-Applying beta-rule and splitting (536), into two cases.
% 20.01/5.20 |-Branch one:
% 20.01/5.20 | (537) all_66_5_204 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0
% 20.01/5.20 |
% 20.01/5.20 | Applying alpha-rule on (537) yields:
% 20.01/5.20 | (538) all_66_5_204 = 0
% 20.01/5.20 | (110) has_immunity(all_0_17_17, all_0_15_15) = 0
% 20.01/5.20 |
% 20.01/5.20 | Instantiating formula (31) with all_0_17_17, all_0_15_15, 0, all_0_13_13 and discharging atoms has_immunity(all_0_17_17, all_0_15_15) = all_0_13_13, has_immunity(all_0_17_17, all_0_15_15) = 0, yields:
% 20.01/5.20 | (111) all_0_13_13 = 0
% 20.01/5.20 |
% 20.01/5.20 | Equations (111) can reduce 17 to:
% 20.01/5.20 | (91) $false
% 20.01/5.20 |
% 20.01/5.20 |-The branch is then unsatisfiable
% 20.01/5.20 |-Branch two:
% 20.01/5.20 | (542) all_66_5_204 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0
% 20.01/5.20 |
% 20.01/5.20 | Applying alpha-rule on (542) yields:
% 20.01/5.20 | (538) all_66_5_204 = 0
% 20.01/5.20 | (115) has_immunity(all_0_17_17, all_0_16_16) = 0
% 20.01/5.20 |
% 20.01/5.21 | Instantiating formula (31) with all_0_17_17, all_0_16_16, 0, all_0_14_14 and discharging atoms has_immunity(all_0_17_17, all_0_16_16) = all_0_14_14, has_immunity(all_0_17_17, all_0_16_16) = 0, yields:
% 20.01/5.21 | (116) all_0_14_14 = 0
% 20.01/5.21 |
% 20.01/5.21 | Equations (116) can reduce 69 to:
% 20.01/5.21 | (91) $false
% 20.01/5.21 |
% 20.01/5.21 |-The branch is then unsatisfiable
% 20.01/5.21 |-Branch two:
% 20.01/5.21 | (547) ~ (all_66_5_204 = 0) & organization(all_0_17_17) = all_66_5_204
% 20.01/5.21 |
% 20.01/5.21 | Applying alpha-rule on (547) yields:
% 20.01/5.21 | (548) ~ (all_66_5_204 = 0)
% 20.01/5.21 | (549) organization(all_0_17_17) = all_66_5_204
% 20.01/5.21 |
% 20.01/5.21 | Instantiating formula (77) with all_0_17_17, all_66_5_204, 0 and discharging atoms organization(all_0_17_17) = all_66_5_204, organization(all_0_17_17) = 0, yields:
% 20.01/5.21 | (538) all_66_5_204 = 0
% 20.01/5.21 |
% 20.01/5.21 | Equations (538) can reduce 548 to:
% 20.01/5.21 | (91) $false
% 20.01/5.21 |
% 20.01/5.21 |-The branch is then unsatisfiable
% 20.01/5.21 |-Branch two:
% 20.01/5.21 | (552) ( ~ (all_32_2_55 = all_32_3_56) | (all_66_1_200 = all_66_2_201 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_66_2_201 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_66_2_201) | ( ~ (all_66_4_203 = all_66_5_204) & position(all_0_17_17, all_0_15_15) = all_66_5_204 & position(all_0_17_17, all_0_16_16) = all_66_4_203)) & ((all_66_0_199 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_66_2_201 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_66_1_200 & smaller(all_66_2_201, all_66_1_200) = 0) | ( ~ (all_66_3_202 = 0) & position(all_0_17_17, all_0_15_15) = all_66_5_204 & position(all_0_17_17, all_0_16_16) = all_66_4_203 & greater_or_equal(all_66_5_204, all_66_4_203) = all_66_3_202 & (( ~ (all_66_0_199 = 0) & greater(all_66_5_204, all_66_4_203) = all_66_0_199) | ( ~ (all_66_0_199 = 0) & greater_or_equal(all_32_3_56, all_32_2_55) = all_66_0_199))))
% 20.01/5.21 |
% 20.01/5.21 | Applying alpha-rule on (552) yields:
% 20.01/5.21 | (553) ~ (all_32_2_55 = all_32_3_56) | (all_66_1_200 = all_66_2_201 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_66_2_201 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_66_2_201) | ( ~ (all_66_4_203 = all_66_5_204) & position(all_0_17_17, all_0_15_15) = all_66_5_204 & position(all_0_17_17, all_0_16_16) = all_66_4_203)
% 20.01/5.21 | (554) (all_66_0_199 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_66_2_201 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_66_1_200 & smaller(all_66_2_201, all_66_1_200) = 0) | ( ~ (all_66_3_202 = 0) & position(all_0_17_17, all_0_15_15) = all_66_5_204 & position(all_0_17_17, all_0_16_16) = all_66_4_203 & greater_or_equal(all_66_5_204, all_66_4_203) = all_66_3_202 & (( ~ (all_66_0_199 = 0) & greater(all_66_5_204, all_66_4_203) = all_66_0_199) | ( ~ (all_66_0_199 = 0) & greater_or_equal(all_32_3_56, all_32_2_55) = all_66_0_199)))
% 20.01/5.21 |
% 20.01/5.21 +-Applying beta-rule and splitting (530), into two cases.
% 20.01/5.21 |-Branch one:
% 20.01/5.21 | (555) all_33_0_60 = 0
% 20.01/5.21 |
% 20.01/5.21 | Equations (555) can reduce 522 to:
% 20.01/5.21 | (91) $false
% 20.01/5.21 |
% 20.01/5.21 |-The branch is then unsatisfiable
% 20.01/5.21 |-Branch two:
% 20.01/5.21 | (522) ~ (all_33_0_60 = 0)
% 20.01/5.21 | (558) ? [v0] : ( ~ (v0 = 0) & greater(all_33_3_63, all_33_2_62) = v0)
% 20.01/5.21 |
% 20.01/5.21 | Instantiating (558) with all_76_0_220 yields:
% 20.01/5.21 | (559) ~ (all_76_0_220 = 0) & greater(all_33_3_63, all_33_2_62) = all_76_0_220
% 20.01/5.21 |
% 20.01/5.21 | Applying alpha-rule on (559) yields:
% 20.01/5.21 | (560) ~ (all_76_0_220 = 0)
% 20.01/5.21 | (561) greater(all_33_3_63, all_33_2_62) = all_76_0_220
% 20.01/5.21 |
% 20.01/5.21 +-Applying beta-rule and splitting (554), into two cases.
% 20.01/5.21 |-Branch one:
% 20.01/5.21 | (562) all_66_0_199 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_66_2_201 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_66_1_200 & smaller(all_66_2_201, all_66_1_200) = 0
% 20.01/5.21 |
% 20.01/5.21 | Applying alpha-rule on (562) yields:
% 20.01/5.21 | (563) all_66_0_199 = 0
% 20.01/5.21 | (564) hazard_of_mortality(all_0_17_17, all_0_15_15) = all_66_2_201
% 20.01/5.21 | (565) hazard_of_mortality(all_0_17_17, all_0_16_16) = all_66_1_200
% 20.01/5.21 | (566) smaller(all_66_2_201, all_66_1_200) = 0
% 20.01/5.21 |
% 20.01/5.21 | Instantiating formula (60) with all_0_17_17, all_0_15_15, all_66_2_201, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_15_15) = all_66_2_201, hazard_of_mortality(all_0_17_17, all_0_15_15) = all_0_4_4, yields:
% 20.01/5.21 | (567) all_66_2_201 = all_0_4_4
% 20.01/5.21 |
% 20.01/5.21 | Instantiating formula (60) with all_0_17_17, all_0_16_16, all_66_1_200, all_0_3_3 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_16_16) = all_66_1_200, hazard_of_mortality(all_0_17_17, all_0_16_16) = all_0_3_3, yields:
% 20.01/5.21 | (568) all_66_1_200 = all_0_3_3
% 20.01/5.21 |
% 20.01/5.21 | From (567)(568) and (566) follows:
% 20.01/5.21 | (133) smaller(all_0_4_4, all_0_3_3) = 0
% 20.01/5.21 |
% 20.01/5.21 | Instantiating formula (40) with all_0_4_4, all_0_3_3, 0, all_0_2_2 and discharging atoms smaller(all_0_4_4, all_0_3_3) = all_0_2_2, smaller(all_0_4_4, all_0_3_3) = 0, yields:
% 20.01/5.21 | (90) all_0_2_2 = 0
% 20.01/5.21 |
% 20.01/5.21 | Equations (90) can reduce 55 to:
% 20.01/5.21 | (91) $false
% 20.01/5.21 |
% 20.01/5.21 |-The branch is then unsatisfiable
% 20.01/5.21 |-Branch two:
% 20.01/5.21 | (572) ~ (all_66_3_202 = 0) & position(all_0_17_17, all_0_15_15) = all_66_5_204 & position(all_0_17_17, all_0_16_16) = all_66_4_203 & greater_or_equal(all_66_5_204, all_66_4_203) = all_66_3_202 & (( ~ (all_66_0_199 = 0) & greater(all_66_5_204, all_66_4_203) = all_66_0_199) | ( ~ (all_66_0_199 = 0) & greater_or_equal(all_32_3_56, all_32_2_55) = all_66_0_199))
% 20.01/5.21 |
% 20.01/5.21 | Applying alpha-rule on (572) yields:
% 20.01/5.21 | (573) ~ (all_66_3_202 = 0)
% 20.01/5.21 | (574) position(all_0_17_17, all_0_15_15) = all_66_5_204
% 20.01/5.21 | (575) greater_or_equal(all_66_5_204, all_66_4_203) = all_66_3_202
% 20.01/5.21 | (576) ( ~ (all_66_0_199 = 0) & greater(all_66_5_204, all_66_4_203) = all_66_0_199) | ( ~ (all_66_0_199 = 0) & greater_or_equal(all_32_3_56, all_32_2_55) = all_66_0_199)
% 20.01/5.21 | (577) position(all_0_17_17, all_0_16_16) = all_66_4_203
% 20.01/5.21 |
% 20.01/5.21 +-Applying beta-rule and splitting (576), into two cases.
% 20.01/5.21 |-Branch one:
% 20.01/5.21 | (578) ~ (all_66_0_199 = 0) & greater(all_66_5_204, all_66_4_203) = all_66_0_199
% 20.01/5.21 |
% 20.01/5.21 | Applying alpha-rule on (578) yields:
% 20.01/5.21 | (579) ~ (all_66_0_199 = 0)
% 20.01/5.21 | (580) greater(all_66_5_204, all_66_4_203) = all_66_0_199
% 20.01/5.21 |
% 20.01/5.21 +-Applying beta-rule and splitting (520), into two cases.
% 20.01/5.21 |-Branch one:
% 20.01/5.21 | (581) ~ (all_33_1_61 = 0) & position(all_0_17_17, all_0_15_15) = all_33_3_63 & position(all_0_17_17, all_0_16_16) = all_33_2_62 & greater(all_33_3_63, all_33_2_62) = all_33_1_61
% 20.01/5.21 |
% 20.01/5.21 | Applying alpha-rule on (581) yields:
% 20.01/5.21 | (582) ~ (all_33_1_61 = 0)
% 20.01/5.21 | (523) position(all_0_17_17, all_0_15_15) = all_33_3_63
% 20.01/5.21 | (524) position(all_0_17_17, all_0_16_16) = all_33_2_62
% 20.01/5.21 | (585) greater(all_33_3_63, all_33_2_62) = all_33_1_61
% 20.01/5.21 |
% 20.01/5.21 +-Applying beta-rule and splitting (534), into two cases.
% 20.01/5.21 |-Branch one:
% 20.01/5.21 | (586) (all_70_5_216 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_70_5_216 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_70_5_216 = 0) & organization(all_0_17_17) = all_70_5_216)
% 20.01/5.21 |
% 20.01/5.21 +-Applying beta-rule and splitting (586), into two cases.
% 20.01/5.21 |-Branch one:
% 20.01/5.21 | (587) (all_70_5_216 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_70_5_216 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0)
% 20.01/5.21 |
% 20.01/5.21 +-Applying beta-rule and splitting (587), into two cases.
% 20.01/5.21 |-Branch one:
% 20.01/5.21 | (588) all_70_5_216 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0
% 20.01/5.21 |
% 20.01/5.21 | Applying alpha-rule on (588) yields:
% 20.01/5.21 | (589) all_70_5_216 = 0
% 20.01/5.21 | (110) has_immunity(all_0_17_17, all_0_15_15) = 0
% 20.01/5.21 |
% 20.01/5.21 | Instantiating formula (31) with all_0_17_17, all_0_15_15, 0, all_0_13_13 and discharging atoms has_immunity(all_0_17_17, all_0_15_15) = all_0_13_13, has_immunity(all_0_17_17, all_0_15_15) = 0, yields:
% 20.01/5.21 | (111) all_0_13_13 = 0
% 20.01/5.21 |
% 20.01/5.21 | Equations (111) can reduce 17 to:
% 20.01/5.21 | (91) $false
% 20.01/5.21 |
% 20.01/5.21 |-The branch is then unsatisfiable
% 20.01/5.21 |-Branch two:
% 20.01/5.21 | (593) all_70_5_216 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0
% 20.01/5.21 |
% 20.01/5.21 | Applying alpha-rule on (593) yields:
% 20.01/5.21 | (589) all_70_5_216 = 0
% 20.01/5.21 | (115) has_immunity(all_0_17_17, all_0_16_16) = 0
% 20.01/5.21 |
% 20.01/5.21 | Instantiating formula (31) with all_0_17_17, all_0_16_16, 0, all_0_14_14 and discharging atoms has_immunity(all_0_17_17, all_0_16_16) = all_0_14_14, has_immunity(all_0_17_17, all_0_16_16) = 0, yields:
% 20.01/5.21 | (116) all_0_14_14 = 0
% 20.01/5.21 |
% 20.01/5.21 | Equations (116) can reduce 69 to:
% 20.01/5.21 | (91) $false
% 20.01/5.21 |
% 20.01/5.21 |-The branch is then unsatisfiable
% 20.01/5.21 |-Branch two:
% 20.01/5.21 | (598) ~ (all_70_5_216 = 0) & organization(all_0_17_17) = all_70_5_216
% 20.01/5.21 |
% 20.01/5.21 | Applying alpha-rule on (598) yields:
% 20.01/5.21 | (599) ~ (all_70_5_216 = 0)
% 20.01/5.21 | (600) organization(all_0_17_17) = all_70_5_216
% 20.01/5.21 |
% 20.01/5.21 | Instantiating formula (77) with all_0_17_17, all_70_5_216, 0 and discharging atoms organization(all_0_17_17) = all_70_5_216, organization(all_0_17_17) = 0, yields:
% 20.01/5.21 | (589) all_70_5_216 = 0
% 20.01/5.21 |
% 20.01/5.21 | Equations (589) can reduce 599 to:
% 20.01/5.21 | (91) $false
% 20.01/5.21 |
% 20.01/5.21 |-The branch is then unsatisfiable
% 20.01/5.21 |-Branch two:
% 20.01/5.21 | (603) ( ~ (all_33_2_62 = all_33_3_63) | (all_70_1_212 = all_70_2_213 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_70_2_213 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_70_2_213) | ( ~ (all_70_4_215 = all_70_5_216) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215)) & ((all_70_0_211 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_70_2_213 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_70_1_212 & smaller(all_70_2_213, all_70_1_212) = 0) | (( ~ (all_33_0_60 = 0) | ( ~ (all_70_3_214 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater(all_70_5_216, all_70_4_215) = all_70_3_214)) & (( ~ (all_70_0_211 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater_or_equal(all_70_5_216, all_70_4_215) = all_70_0_211) | ( ~ (all_70_0_211 = 0) & greater(all_33_3_63, all_33_2_62) = all_70_0_211))))
% 20.01/5.22 |
% 20.01/5.22 | Applying alpha-rule on (603) yields:
% 20.01/5.22 | (604) ~ (all_33_2_62 = all_33_3_63) | (all_70_1_212 = all_70_2_213 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_70_2_213 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_70_2_213) | ( ~ (all_70_4_215 = all_70_5_216) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215)
% 20.01/5.22 | (605) (all_70_0_211 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_70_2_213 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_70_1_212 & smaller(all_70_2_213, all_70_1_212) = 0) | (( ~ (all_33_0_60 = 0) | ( ~ (all_70_3_214 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater(all_70_5_216, all_70_4_215) = all_70_3_214)) & (( ~ (all_70_0_211 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater_or_equal(all_70_5_216, all_70_4_215) = all_70_0_211) | ( ~ (all_70_0_211 = 0) & greater(all_33_3_63, all_33_2_62) = all_70_0_211)))
% 20.01/5.22 |
% 20.01/5.22 +-Applying beta-rule and splitting (605), into two cases.
% 20.01/5.22 |-Branch one:
% 20.01/5.22 | (606) all_70_0_211 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_70_2_213 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_70_1_212 & smaller(all_70_2_213, all_70_1_212) = 0
% 20.01/5.22 |
% 20.01/5.22 | Applying alpha-rule on (606) yields:
% 20.01/5.22 | (607) all_70_0_211 = 0
% 20.01/5.22 | (608) hazard_of_mortality(all_0_17_17, all_0_15_15) = all_70_2_213
% 20.01/5.22 | (609) hazard_of_mortality(all_0_17_17, all_0_16_16) = all_70_1_212
% 20.01/5.22 | (610) smaller(all_70_2_213, all_70_1_212) = 0
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (60) with all_0_17_17, all_0_15_15, all_70_2_213, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_15_15) = all_70_2_213, hazard_of_mortality(all_0_17_17, all_0_15_15) = all_0_4_4, yields:
% 20.01/5.22 | (611) all_70_2_213 = all_0_4_4
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (60) with all_0_17_17, all_0_16_16, all_70_1_212, all_0_3_3 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_16_16) = all_70_1_212, hazard_of_mortality(all_0_17_17, all_0_16_16) = all_0_3_3, yields:
% 20.01/5.22 | (612) all_70_1_212 = all_0_3_3
% 20.01/5.22 |
% 20.01/5.22 | From (611)(612) and (610) follows:
% 20.01/5.22 | (133) smaller(all_0_4_4, all_0_3_3) = 0
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (40) with all_0_4_4, all_0_3_3, 0, all_0_2_2 and discharging atoms smaller(all_0_4_4, all_0_3_3) = all_0_2_2, smaller(all_0_4_4, all_0_3_3) = 0, yields:
% 20.01/5.22 | (90) all_0_2_2 = 0
% 20.01/5.22 |
% 20.01/5.22 | Equations (90) can reduce 55 to:
% 20.01/5.22 | (91) $false
% 20.01/5.22 |
% 20.01/5.22 |-The branch is then unsatisfiable
% 20.01/5.22 |-Branch two:
% 20.01/5.22 | (616) ( ~ (all_33_0_60 = 0) | ( ~ (all_70_3_214 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater(all_70_5_216, all_70_4_215) = all_70_3_214)) & (( ~ (all_70_0_211 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater_or_equal(all_70_5_216, all_70_4_215) = all_70_0_211) | ( ~ (all_70_0_211 = 0) & greater(all_33_3_63, all_33_2_62) = all_70_0_211))
% 20.01/5.22 |
% 20.01/5.22 | Applying alpha-rule on (616) yields:
% 20.01/5.22 | (617) ~ (all_33_0_60 = 0) | ( ~ (all_70_3_214 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater(all_70_5_216, all_70_4_215) = all_70_3_214)
% 20.01/5.22 | (618) ( ~ (all_70_0_211 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater_or_equal(all_70_5_216, all_70_4_215) = all_70_0_211) | ( ~ (all_70_0_211 = 0) & greater(all_33_3_63, all_33_2_62) = all_70_0_211)
% 20.01/5.22 |
% 20.01/5.22 +-Applying beta-rule and splitting (532), into two cases.
% 20.01/5.22 |-Branch one:
% 20.01/5.22 | (619) ~ (all_65_6_198 = 0) & organization(all_0_17_17) = all_65_6_198
% 20.01/5.22 |
% 20.01/5.22 | Applying alpha-rule on (619) yields:
% 20.01/5.22 | (620) ~ (all_65_6_198 = 0)
% 20.01/5.22 | (621) organization(all_0_17_17) = all_65_6_198
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (77) with all_0_17_17, all_65_6_198, 0 and discharging atoms organization(all_0_17_17) = all_65_6_198, organization(all_0_17_17) = 0, yields:
% 20.01/5.22 | (622) all_65_6_198 = 0
% 20.01/5.22 |
% 20.01/5.22 | Equations (622) can reduce 620 to:
% 20.01/5.22 | (91) $false
% 20.01/5.22 |
% 20.01/5.22 |-The branch is then unsatisfiable
% 20.01/5.22 |-Branch two:
% 20.01/5.22 | (624) ( ~ (all_0_11_11 = all_0_12_12) | (all_65_2_194 = all_65_3_195 & capability(all_0_17_17, all_0_15_15) = all_65_3_195 & capability(all_0_17_17, all_0_16_16) = all_65_3_195) | ( ~ (all_65_5_197 = all_65_6_198) & internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198 & internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197)) & ((all_65_0_192 = 0 & capability(all_0_17_17, all_0_15_15) = all_65_3_195 & capability(all_0_17_17, all_0_16_16) = all_65_2_194 & greater(all_65_3_195, all_65_2_194) = 0) | ( ~ (all_65_4_196 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198 & internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197 & smaller_or_equal(all_65_6_198, all_65_5_197) = all_65_4_196)) & ((all_65_1_193 = 0 & capability(all_0_17_17, all_0_15_15) = all_65_3_195 & capability(all_0_17_17, all_0_16_16) = all_65_2_194 & smaller(all_65_3_195, all_65_2_194) = 0) | ( ~ (all_65_1_193 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198 & internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197 & greater(all_65_6_198, all_65_5_197) = all_65_1_193) | ( ~ (all_65_1_193 = 0) & smaller_or_equal(all_0_12_12, all_0_11_11) = all_65_1_193))
% 20.01/5.22 |
% 20.01/5.22 | Applying alpha-rule on (624) yields:
% 20.01/5.22 | (625) ~ (all_0_11_11 = all_0_12_12) | (all_65_2_194 = all_65_3_195 & capability(all_0_17_17, all_0_15_15) = all_65_3_195 & capability(all_0_17_17, all_0_16_16) = all_65_3_195) | ( ~ (all_65_5_197 = all_65_6_198) & internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198 & internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197)
% 20.01/5.22 | (626) (all_65_0_192 = 0 & capability(all_0_17_17, all_0_15_15) = all_65_3_195 & capability(all_0_17_17, all_0_16_16) = all_65_2_194 & greater(all_65_3_195, all_65_2_194) = 0) | ( ~ (all_65_4_196 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198 & internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197 & smaller_or_equal(all_65_6_198, all_65_5_197) = all_65_4_196)
% 20.01/5.22 | (627) (all_65_1_193 = 0 & capability(all_0_17_17, all_0_15_15) = all_65_3_195 & capability(all_0_17_17, all_0_16_16) = all_65_2_194 & smaller(all_65_3_195, all_65_2_194) = 0) | ( ~ (all_65_1_193 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198 & internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197 & greater(all_65_6_198, all_65_5_197) = all_65_1_193) | ( ~ (all_65_1_193 = 0) & smaller_or_equal(all_0_12_12, all_0_11_11) = all_65_1_193)
% 20.01/5.22 |
% 20.01/5.22 +-Applying beta-rule and splitting (618), into two cases.
% 20.01/5.22 |-Branch one:
% 20.01/5.22 | (628) ~ (all_70_0_211 = 0) & capability(all_0_17_17, all_0_15_15) = all_70_5_216 & capability(all_0_17_17, all_0_16_16) = all_70_4_215 & greater_or_equal(all_70_5_216, all_70_4_215) = all_70_0_211
% 20.01/5.22 |
% 20.01/5.22 | Applying alpha-rule on (628) yields:
% 20.01/5.22 | (629) ~ (all_70_0_211 = 0)
% 20.01/5.22 | (630) capability(all_0_17_17, all_0_15_15) = all_70_5_216
% 20.01/5.22 | (631) capability(all_0_17_17, all_0_16_16) = all_70_4_215
% 20.01/5.22 | (632) greater_or_equal(all_70_5_216, all_70_4_215) = all_70_0_211
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (39) with all_0_17_17, all_0_15_15, all_70_5_216, all_32_3_56 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_70_5_216, capability(all_0_17_17, all_0_15_15) = all_32_3_56, yields:
% 20.01/5.22 | (633) all_70_5_216 = all_32_3_56
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (39) with all_0_17_17, all_0_16_16, all_70_4_215, all_32_2_55 and discharging atoms capability(all_0_17_17, all_0_16_16) = all_70_4_215, capability(all_0_17_17, all_0_16_16) = all_32_2_55, yields:
% 20.01/5.22 | (634) all_70_4_215 = all_32_2_55
% 20.01/5.22 |
% 20.01/5.22 | From (633)(634) and (632) follows:
% 20.01/5.22 | (635) greater_or_equal(all_32_3_56, all_32_2_55) = all_70_0_211
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (61) with all_32_3_56, all_32_2_55, all_70_0_211, 0 and discharging atoms greater_or_equal(all_32_3_56, all_32_2_55) = all_70_0_211, greater_or_equal(all_32_3_56, all_32_2_55) = 0, yields:
% 20.01/5.22 | (607) all_70_0_211 = 0
% 20.01/5.22 |
% 20.01/5.22 | Equations (607) can reduce 629 to:
% 20.01/5.22 | (91) $false
% 20.01/5.22 |
% 20.01/5.22 |-The branch is then unsatisfiable
% 20.01/5.22 |-Branch two:
% 20.01/5.22 | (638) ~ (all_70_0_211 = 0) & greater(all_33_3_63, all_33_2_62) = all_70_0_211
% 20.01/5.22 |
% 20.01/5.22 | Applying alpha-rule on (638) yields:
% 20.01/5.22 | (629) ~ (all_70_0_211 = 0)
% 20.01/5.22 | (640) greater(all_33_3_63, all_33_2_62) = all_70_0_211
% 20.01/5.22 |
% 20.01/5.22 +-Applying beta-rule and splitting (626), into two cases.
% 20.01/5.22 |-Branch one:
% 20.01/5.22 | (641) all_65_0_192 = 0 & capability(all_0_17_17, all_0_15_15) = all_65_3_195 & capability(all_0_17_17, all_0_16_16) = all_65_2_194 & greater(all_65_3_195, all_65_2_194) = 0
% 20.01/5.22 |
% 20.01/5.22 | Applying alpha-rule on (641) yields:
% 20.01/5.22 | (642) all_65_0_192 = 0
% 20.01/5.22 | (643) capability(all_0_17_17, all_0_15_15) = all_65_3_195
% 20.01/5.22 | (644) capability(all_0_17_17, all_0_16_16) = all_65_2_194
% 20.01/5.22 | (645) greater(all_65_3_195, all_65_2_194) = 0
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (49) with all_0_17_17, all_0_15_15, all_66_5_204, all_33_3_63 and discharging atoms position(all_0_17_17, all_0_15_15) = all_66_5_204, position(all_0_17_17, all_0_15_15) = all_33_3_63, yields:
% 20.01/5.22 | (646) all_66_5_204 = all_33_3_63
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (49) with all_0_17_17, all_0_16_16, all_66_4_203, all_33_2_62 and discharging atoms position(all_0_17_17, all_0_16_16) = all_66_4_203, position(all_0_17_17, all_0_16_16) = all_33_2_62, yields:
% 20.01/5.22 | (647) all_66_4_203 = all_33_2_62
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (39) with all_0_17_17, all_0_15_15, all_65_3_195, all_32_3_56 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_65_3_195, capability(all_0_17_17, all_0_15_15) = all_32_3_56, yields:
% 20.01/5.22 | (648) all_65_3_195 = all_32_3_56
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (39) with all_0_17_17, all_0_16_16, all_65_2_194, all_32_2_55 and discharging atoms capability(all_0_17_17, all_0_16_16) = all_65_2_194, capability(all_0_17_17, all_0_16_16) = all_32_2_55, yields:
% 20.01/5.22 | (649) all_65_2_194 = all_32_2_55
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (47) with all_33_3_63, all_33_2_62, all_70_0_211, all_76_0_220 and discharging atoms greater(all_33_3_63, all_33_2_62) = all_76_0_220, greater(all_33_3_63, all_33_2_62) = all_70_0_211, yields:
% 20.01/5.22 | (650) all_76_0_220 = all_70_0_211
% 20.01/5.22 |
% 20.01/5.22 | Instantiating formula (47) with all_33_3_63, all_33_2_62, all_33_1_61, all_76_0_220 and discharging atoms greater(all_33_3_63, all_33_2_62) = all_76_0_220, greater(all_33_3_63, all_33_2_62) = all_33_1_61, yields:
% 20.01/5.22 | (651) all_76_0_220 = all_33_1_61
% 20.01/5.22 |
% 20.01/5.22 | Combining equations (650,651) yields a new equation:
% 20.01/5.22 | (652) all_70_0_211 = all_33_1_61
% 20.01/5.22 |
% 20.01/5.22 | Simplifying 652 yields:
% 20.01/5.22 | (653) all_70_0_211 = all_33_1_61
% 20.01/5.22 |
% 20.01/5.22 | From (646) and (574) follows:
% 20.01/5.23 | (523) position(all_0_17_17, all_0_15_15) = all_33_3_63
% 20.01/5.23 |
% 20.01/5.23 | From (647) and (577) follows:
% 20.01/5.23 | (524) position(all_0_17_17, all_0_16_16) = all_33_2_62
% 20.01/5.23 |
% 20.01/5.23 | From (648) and (643) follows:
% 20.01/5.23 | (492) capability(all_0_17_17, all_0_15_15) = all_32_3_56
% 20.01/5.23 |
% 20.01/5.23 | From (649) and (644) follows:
% 20.01/5.23 | (493) capability(all_0_17_17, all_0_16_16) = all_32_2_55
% 20.01/5.23 |
% 20.01/5.23 | From (646)(647) and (580) follows:
% 20.01/5.23 | (658) greater(all_33_3_63, all_33_2_62) = all_66_0_199
% 20.01/5.23 |
% 20.01/5.23 | From (648)(649) and (645) follows:
% 20.01/5.23 | (494) greater(all_32_3_56, all_32_2_55) = 0
% 20.01/5.23 |
% 20.01/5.23 | From (653) and (640) follows:
% 20.01/5.23 | (585) greater(all_33_3_63, all_33_2_62) = all_33_1_61
% 20.01/5.23 |
% 20.01/5.23 | From (646)(647) and (575) follows:
% 20.01/5.23 | (661) greater_or_equal(all_33_3_63, all_33_2_62) = all_66_3_202
% 20.01/5.23 |
% 20.01/5.23 | Instantiating formula (47) with all_33_3_63, all_33_2_62, all_66_0_199, all_33_1_61 and discharging atoms greater(all_33_3_63, all_33_2_62) = all_66_0_199, greater(all_33_3_63, all_33_2_62) = all_33_1_61, yields:
% 20.01/5.23 | (662) all_66_0_199 = all_33_1_61
% 20.01/5.23 |
% 20.01/5.23 | Instantiating formula (61) with all_33_3_63, all_33_2_62, all_66_3_202, all_33_0_60 and discharging atoms greater_or_equal(all_33_3_63, all_33_2_62) = all_66_3_202, greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60, yields:
% 20.01/5.23 | (663) all_66_3_202 = all_33_0_60
% 20.01/5.23 |
% 20.01/5.23 | Equations (662) can reduce 579 to:
% 20.01/5.23 | (582) ~ (all_33_1_61 = 0)
% 20.01/5.23 |
% 20.01/5.23 | Equations (663) can reduce 573 to:
% 20.01/5.23 | (522) ~ (all_33_0_60 = 0)
% 20.01/5.23 |
% 20.01/5.23 | From (662) and (658) follows:
% 20.01/5.23 | (585) greater(all_33_3_63, all_33_2_62) = all_33_1_61
% 20.01/5.23 |
% 20.01/5.23 | From (663) and (661) follows:
% 20.01/5.23 | (525) greater_or_equal(all_33_3_63, all_33_2_62) = all_33_0_60
% 20.01/5.23 |
% 20.01/5.23 | Instantiating formula (76) with all_33_1_61, all_33_2_62, all_33_3_63, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms position(all_0_17_17, all_0_15_15) = all_33_3_63, position(all_0_17_17, all_0_16_16) = all_33_2_62, greater(all_33_3_63, all_33_2_62) = all_33_1_61, yields:
% 20.01/5.23 | (668) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & organization(all_0_17_17) = v0) | ((all_33_1_61 = 0 | ( ~ (v2 = 0) & external_ties(all_0_17_17, all_0_15_15) = v0 & external_ties(all_0_17_17, all_0_16_16) = v1 & greater(v0, v1) = v2)) & (all_33_2_62 = all_33_3_63 | ( ~ (v1 = v0) & external_ties(all_0_17_17, all_0_15_15) = v0 & external_ties(all_0_17_17, all_0_16_16) = v1))))
% 20.01/5.23 |
% 20.01/5.23 | Instantiating formula (2) with 0, all_32_2_55, all_32_3_56, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_32_3_56, capability(all_0_17_17, all_0_16_16) = all_32_2_55, greater_or_equal(all_32_3_56, all_32_2_55) = 0, yields:
% 20.01/5.23 | (669) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v0 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (v0 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (v0 = 0) & organization(all_0_17_17) = v0) | (( ~ (all_32_2_55 = all_32_3_56) | (v5 = v4 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v4 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v4) | ( ~ (v2 = v1) & position(all_0_17_17, all_0_15_15) = v1 & position(all_0_17_17, all_0_16_16) = v2)) & ((v6 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = v4 & hazard_of_mortality(all_0_17_17, all_0_16_16) = v5 & smaller(v4, v5) = 0) | ( ~ (v6 = 0) & position(all_0_17_17, all_0_15_15) = v1 & position(all_0_17_17, all_0_16_16) = v2 & greater(v1, v2) = v6 & (( ~ (v3 = 0) & greater_or_equal(v1, v2) = v3) | ( ~ (v0 = 0) & greater(all_32_3_56, all_32_2_55) = v0))))))
% 20.01/5.23 |
% 20.01/5.23 | Instantiating (669) with all_118_0_221, all_118_1_222, all_118_2_223, all_118_3_224, all_118_4_225, all_118_5_226, all_118_6_227 yields:
% 20.01/5.23 | (670) (all_118_6_227 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_118_6_227 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_118_6_227 = 0) & organization(all_0_17_17) = all_118_6_227) | (( ~ (all_32_2_55 = all_32_3_56) | (all_118_1_222 = all_118_2_223 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_118_2_223 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_118_2_223) | ( ~ (all_118_4_225 = all_118_5_226) & position(all_0_17_17, all_0_15_15) = all_118_5_226 & position(all_0_17_17, all_0_16_16) = all_118_4_225)) & ((all_118_0_221 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_118_2_223 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_118_1_222 & smaller(all_118_2_223, all_118_1_222) = 0) | ( ~ (all_118_0_221 = 0) & position(all_0_17_17, all_0_15_15) = all_118_5_226 & position(all_0_17_17, all_0_16_16) = all_118_4_225 & greater(all_118_5_226, all_118_4_225) = all_118_0_221 & (( ~ (all_118_3_224 = 0) & greater_or_equal(all_118_5_226, all_118_4_225) = all_118_3_224) | ( ~ (all_118_6_227 = 0) & greater(all_32_3_56, all_32_2_55) = all_118_6_227)))))
% 20.01/5.23 |
% 20.01/5.23 | Instantiating (668) with all_123_0_254, all_123_1_255, all_123_2_256 yields:
% 20.01/5.23 | (671) ( ~ (all_123_2_256 = 0) & organization(all_0_17_17) = all_123_2_256) | ((all_33_1_61 = 0 | ( ~ (all_123_0_254 = 0) & external_ties(all_0_17_17, all_0_15_15) = all_123_2_256 & external_ties(all_0_17_17, all_0_16_16) = all_123_1_255 & greater(all_123_2_256, all_123_1_255) = all_123_0_254)) & (all_33_2_62 = all_33_3_63 | ( ~ (all_123_1_255 = all_123_2_256) & external_ties(all_0_17_17, all_0_15_15) = all_123_2_256 & external_ties(all_0_17_17, all_0_16_16) = all_123_1_255)))
% 20.01/5.23 |
% 20.01/5.23 +-Applying beta-rule and splitting (671), into two cases.
% 20.01/5.23 |-Branch one:
% 20.01/5.23 | (672) ~ (all_123_2_256 = 0) & organization(all_0_17_17) = all_123_2_256
% 20.01/5.23 |
% 20.01/5.23 | Applying alpha-rule on (672) yields:
% 20.01/5.23 | (673) ~ (all_123_2_256 = 0)
% 20.01/5.23 | (674) organization(all_0_17_17) = all_123_2_256
% 20.01/5.23 |
% 20.01/5.23 | Instantiating formula (77) with all_0_17_17, all_123_2_256, 0 and discharging atoms organization(all_0_17_17) = all_123_2_256, organization(all_0_17_17) = 0, yields:
% 20.01/5.23 | (675) all_123_2_256 = 0
% 20.01/5.23 |
% 20.01/5.23 | Equations (675) can reduce 673 to:
% 20.01/5.23 | (91) $false
% 20.01/5.23 |
% 20.01/5.23 |-The branch is then unsatisfiable
% 20.01/5.23 |-Branch two:
% 20.01/5.23 | (677) (all_33_1_61 = 0 | ( ~ (all_123_0_254 = 0) & external_ties(all_0_17_17, all_0_15_15) = all_123_2_256 & external_ties(all_0_17_17, all_0_16_16) = all_123_1_255 & greater(all_123_2_256, all_123_1_255) = all_123_0_254)) & (all_33_2_62 = all_33_3_63 | ( ~ (all_123_1_255 = all_123_2_256) & external_ties(all_0_17_17, all_0_15_15) = all_123_2_256 & external_ties(all_0_17_17, all_0_16_16) = all_123_1_255))
% 20.01/5.23 |
% 20.01/5.23 | Applying alpha-rule on (677) yields:
% 20.01/5.23 | (678) all_33_1_61 = 0 | ( ~ (all_123_0_254 = 0) & external_ties(all_0_17_17, all_0_15_15) = all_123_2_256 & external_ties(all_0_17_17, all_0_16_16) = all_123_1_255 & greater(all_123_2_256, all_123_1_255) = all_123_0_254)
% 20.01/5.23 | (679) all_33_2_62 = all_33_3_63 | ( ~ (all_123_1_255 = all_123_2_256) & external_ties(all_0_17_17, all_0_15_15) = all_123_2_256 & external_ties(all_0_17_17, all_0_16_16) = all_123_1_255)
% 20.01/5.23 |
% 20.01/5.23 +-Applying beta-rule and splitting (670), into two cases.
% 20.01/5.23 |-Branch one:
% 20.01/5.23 | (680) (all_118_6_227 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_118_6_227 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0) | ( ~ (all_118_6_227 = 0) & organization(all_0_17_17) = all_118_6_227)
% 20.01/5.23 |
% 20.01/5.23 +-Applying beta-rule and splitting (680), into two cases.
% 20.01/5.23 |-Branch one:
% 20.01/5.23 | (681) (all_118_6_227 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0) | (all_118_6_227 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0)
% 20.01/5.23 |
% 20.01/5.23 +-Applying beta-rule and splitting (681), into two cases.
% 20.01/5.23 |-Branch one:
% 20.01/5.23 | (682) all_118_6_227 = 0 & has_immunity(all_0_17_17, all_0_15_15) = 0
% 20.01/5.23 |
% 20.01/5.23 | Applying alpha-rule on (682) yields:
% 20.01/5.23 | (683) all_118_6_227 = 0
% 20.01/5.23 | (110) has_immunity(all_0_17_17, all_0_15_15) = 0
% 20.01/5.23 |
% 20.01/5.23 | Instantiating formula (31) with all_0_17_17, all_0_15_15, 0, all_0_13_13 and discharging atoms has_immunity(all_0_17_17, all_0_15_15) = all_0_13_13, has_immunity(all_0_17_17, all_0_15_15) = 0, yields:
% 20.01/5.23 | (111) all_0_13_13 = 0
% 20.01/5.23 |
% 20.01/5.23 | Equations (111) can reduce 17 to:
% 20.01/5.23 | (91) $false
% 20.01/5.23 |
% 20.01/5.23 |-The branch is then unsatisfiable
% 20.01/5.23 |-Branch two:
% 20.01/5.23 | (687) all_118_6_227 = 0 & has_immunity(all_0_17_17, all_0_16_16) = 0
% 20.01/5.23 |
% 20.01/5.23 | Applying alpha-rule on (687) yields:
% 20.01/5.23 | (683) all_118_6_227 = 0
% 20.01/5.23 | (115) has_immunity(all_0_17_17, all_0_16_16) = 0
% 20.01/5.23 |
% 20.01/5.23 | Instantiating formula (31) with all_0_17_17, all_0_16_16, 0, all_0_14_14 and discharging atoms has_immunity(all_0_17_17, all_0_16_16) = all_0_14_14, has_immunity(all_0_17_17, all_0_16_16) = 0, yields:
% 20.01/5.23 | (116) all_0_14_14 = 0
% 20.01/5.23 |
% 20.01/5.23 | Equations (116) can reduce 69 to:
% 20.01/5.23 | (91) $false
% 20.01/5.23 |
% 20.01/5.23 |-The branch is then unsatisfiable
% 20.01/5.23 |-Branch two:
% 20.01/5.23 | (692) ~ (all_118_6_227 = 0) & organization(all_0_17_17) = all_118_6_227
% 20.01/5.23 |
% 20.01/5.23 | Applying alpha-rule on (692) yields:
% 20.01/5.23 | (693) ~ (all_118_6_227 = 0)
% 20.01/5.23 | (694) organization(all_0_17_17) = all_118_6_227
% 20.01/5.23 |
% 20.01/5.23 | Instantiating formula (77) with all_0_17_17, all_118_6_227, 0 and discharging atoms organization(all_0_17_17) = all_118_6_227, organization(all_0_17_17) = 0, yields:
% 20.01/5.23 | (683) all_118_6_227 = 0
% 20.01/5.23 |
% 20.01/5.23 | Equations (683) can reduce 693 to:
% 20.01/5.23 | (91) $false
% 20.01/5.23 |
% 20.01/5.23 |-The branch is then unsatisfiable
% 20.01/5.23 |-Branch two:
% 20.01/5.23 | (697) ( ~ (all_32_2_55 = all_32_3_56) | (all_118_1_222 = all_118_2_223 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_118_2_223 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_118_2_223) | ( ~ (all_118_4_225 = all_118_5_226) & position(all_0_17_17, all_0_15_15) = all_118_5_226 & position(all_0_17_17, all_0_16_16) = all_118_4_225)) & ((all_118_0_221 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_118_2_223 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_118_1_222 & smaller(all_118_2_223, all_118_1_222) = 0) | ( ~ (all_118_0_221 = 0) & position(all_0_17_17, all_0_15_15) = all_118_5_226 & position(all_0_17_17, all_0_16_16) = all_118_4_225 & greater(all_118_5_226, all_118_4_225) = all_118_0_221 & (( ~ (all_118_3_224 = 0) & greater_or_equal(all_118_5_226, all_118_4_225) = all_118_3_224) | ( ~ (all_118_6_227 = 0) & greater(all_32_3_56, all_32_2_55) = all_118_6_227))))
% 20.01/5.24 |
% 20.01/5.24 | Applying alpha-rule on (697) yields:
% 20.01/5.24 | (698) ~ (all_32_2_55 = all_32_3_56) | (all_118_1_222 = all_118_2_223 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_118_2_223 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_118_2_223) | ( ~ (all_118_4_225 = all_118_5_226) & position(all_0_17_17, all_0_15_15) = all_118_5_226 & position(all_0_17_17, all_0_16_16) = all_118_4_225)
% 20.01/5.24 | (699) (all_118_0_221 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_118_2_223 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_118_1_222 & smaller(all_118_2_223, all_118_1_222) = 0) | ( ~ (all_118_0_221 = 0) & position(all_0_17_17, all_0_15_15) = all_118_5_226 & position(all_0_17_17, all_0_16_16) = all_118_4_225 & greater(all_118_5_226, all_118_4_225) = all_118_0_221 & (( ~ (all_118_3_224 = 0) & greater_or_equal(all_118_5_226, all_118_4_225) = all_118_3_224) | ( ~ (all_118_6_227 = 0) & greater(all_32_3_56, all_32_2_55) = all_118_6_227)))
% 20.01/5.24 |
% 20.01/5.24 +-Applying beta-rule and splitting (699), into two cases.
% 20.01/5.24 |-Branch one:
% 20.01/5.24 | (700) all_118_0_221 = 0 & hazard_of_mortality(all_0_17_17, all_0_15_15) = all_118_2_223 & hazard_of_mortality(all_0_17_17, all_0_16_16) = all_118_1_222 & smaller(all_118_2_223, all_118_1_222) = 0
% 20.01/5.24 |
% 20.01/5.24 | Applying alpha-rule on (700) yields:
% 20.01/5.24 | (701) all_118_0_221 = 0
% 20.01/5.24 | (702) hazard_of_mortality(all_0_17_17, all_0_15_15) = all_118_2_223
% 20.01/5.24 | (703) hazard_of_mortality(all_0_17_17, all_0_16_16) = all_118_1_222
% 20.01/5.24 | (704) smaller(all_118_2_223, all_118_1_222) = 0
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (60) with all_0_17_17, all_0_15_15, all_118_2_223, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_15_15) = all_118_2_223, hazard_of_mortality(all_0_17_17, all_0_15_15) = all_0_4_4, yields:
% 20.01/5.24 | (705) all_118_2_223 = all_0_4_4
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (60) with all_0_17_17, all_0_16_16, all_118_1_222, all_0_3_3 and discharging atoms hazard_of_mortality(all_0_17_17, all_0_16_16) = all_118_1_222, hazard_of_mortality(all_0_17_17, all_0_16_16) = all_0_3_3, yields:
% 20.01/5.24 | (706) all_118_1_222 = all_0_3_3
% 20.01/5.24 |
% 20.01/5.24 | From (705)(706) and (704) follows:
% 20.01/5.24 | (133) smaller(all_0_4_4, all_0_3_3) = 0
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (40) with all_0_4_4, all_0_3_3, 0, all_0_2_2 and discharging atoms smaller(all_0_4_4, all_0_3_3) = all_0_2_2, smaller(all_0_4_4, all_0_3_3) = 0, yields:
% 20.01/5.24 | (90) all_0_2_2 = 0
% 20.01/5.24 |
% 20.01/5.24 | Equations (90) can reduce 55 to:
% 20.01/5.24 | (91) $false
% 20.01/5.24 |
% 20.01/5.24 |-The branch is then unsatisfiable
% 20.01/5.24 |-Branch two:
% 20.01/5.24 | (710) ~ (all_118_0_221 = 0) & position(all_0_17_17, all_0_15_15) = all_118_5_226 & position(all_0_17_17, all_0_16_16) = all_118_4_225 & greater(all_118_5_226, all_118_4_225) = all_118_0_221 & (( ~ (all_118_3_224 = 0) & greater_or_equal(all_118_5_226, all_118_4_225) = all_118_3_224) | ( ~ (all_118_6_227 = 0) & greater(all_32_3_56, all_32_2_55) = all_118_6_227))
% 20.01/5.24 |
% 20.01/5.24 | Applying alpha-rule on (710) yields:
% 20.01/5.24 | (711) position(all_0_17_17, all_0_16_16) = all_118_4_225
% 20.01/5.24 | (712) greater(all_118_5_226, all_118_4_225) = all_118_0_221
% 20.01/5.24 | (713) ~ (all_118_0_221 = 0)
% 20.01/5.24 | (714) ( ~ (all_118_3_224 = 0) & greater_or_equal(all_118_5_226, all_118_4_225) = all_118_3_224) | ( ~ (all_118_6_227 = 0) & greater(all_32_3_56, all_32_2_55) = all_118_6_227)
% 20.01/5.24 | (715) position(all_0_17_17, all_0_15_15) = all_118_5_226
% 20.01/5.24 |
% 20.01/5.24 +-Applying beta-rule and splitting (714), into two cases.
% 20.01/5.24 |-Branch one:
% 20.01/5.24 | (716) ~ (all_118_3_224 = 0) & greater_or_equal(all_118_5_226, all_118_4_225) = all_118_3_224
% 20.01/5.24 |
% 20.01/5.24 | Applying alpha-rule on (716) yields:
% 20.01/5.24 | (717) ~ (all_118_3_224 = 0)
% 20.01/5.24 | (718) greater_or_equal(all_118_5_226, all_118_4_225) = all_118_3_224
% 20.01/5.24 |
% 20.01/5.24 +-Applying beta-rule and splitting (678), into two cases.
% 20.01/5.24 |-Branch one:
% 20.01/5.24 | (719) all_33_1_61 = 0
% 20.01/5.24 |
% 20.01/5.24 | Equations (719) can reduce 582 to:
% 20.01/5.24 | (91) $false
% 20.01/5.24 |
% 20.01/5.24 |-The branch is then unsatisfiable
% 20.01/5.24 |-Branch two:
% 20.01/5.24 | (582) ~ (all_33_1_61 = 0)
% 20.01/5.24 | (722) ~ (all_123_0_254 = 0) & external_ties(all_0_17_17, all_0_15_15) = all_123_2_256 & external_ties(all_0_17_17, all_0_16_16) = all_123_1_255 & greater(all_123_2_256, all_123_1_255) = all_123_0_254
% 20.01/5.24 |
% 20.01/5.24 | Applying alpha-rule on (722) yields:
% 20.01/5.24 | (723) ~ (all_123_0_254 = 0)
% 20.01/5.24 | (724) external_ties(all_0_17_17, all_0_15_15) = all_123_2_256
% 20.01/5.24 | (725) external_ties(all_0_17_17, all_0_16_16) = all_123_1_255
% 20.01/5.24 | (726) greater(all_123_2_256, all_123_1_255) = all_123_0_254
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (35) with all_0_17_17, all_0_15_15, all_123_2_256, all_0_7_7 and discharging atoms external_ties(all_0_17_17, all_0_15_15) = all_123_2_256, external_ties(all_0_17_17, all_0_15_15) = all_0_7_7, yields:
% 20.01/5.24 | (727) all_123_2_256 = all_0_7_7
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (35) with all_0_17_17, all_0_16_16, all_123_1_255, all_0_6_6 and discharging atoms external_ties(all_0_17_17, all_0_16_16) = all_123_1_255, external_ties(all_0_17_17, all_0_16_16) = all_0_6_6, yields:
% 20.01/5.24 | (728) all_123_1_255 = all_0_6_6
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (49) with all_0_17_17, all_0_15_15, all_118_5_226, all_33_3_63 and discharging atoms position(all_0_17_17, all_0_15_15) = all_118_5_226, position(all_0_17_17, all_0_15_15) = all_33_3_63, yields:
% 20.01/5.24 | (729) all_118_5_226 = all_33_3_63
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (49) with all_0_17_17, all_0_16_16, all_118_4_225, all_33_2_62 and discharging atoms position(all_0_17_17, all_0_16_16) = all_118_4_225, position(all_0_17_17, all_0_16_16) = all_33_2_62, yields:
% 20.01/5.24 | (730) all_118_4_225 = all_33_2_62
% 20.01/5.24 |
% 20.01/5.24 | From (727)(728) and (726) follows:
% 20.01/5.24 | (731) greater(all_0_7_7, all_0_6_6) = all_123_0_254
% 20.01/5.24 |
% 20.01/5.24 | From (729)(730) and (718) follows:
% 20.01/5.24 | (732) greater_or_equal(all_33_3_63, all_33_2_62) = all_118_3_224
% 20.01/5.24 |
% 20.01/5.24 +-Applying beta-rule and splitting (531), into two cases.
% 20.01/5.24 |-Branch one:
% 20.01/5.24 | (88) greater(all_0_7_7, all_0_6_6) = 0
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (47) with all_0_7_7, all_0_6_6, 0, all_123_0_254 and discharging atoms greater(all_0_7_7, all_0_6_6) = all_123_0_254, greater(all_0_7_7, all_0_6_6) = 0, yields:
% 20.01/5.24 | (734) all_123_0_254 = 0
% 20.01/5.24 |
% 20.01/5.24 | Equations (734) can reduce 723 to:
% 20.01/5.24 | (91) $false
% 20.01/5.24 |
% 20.01/5.24 |-The branch is then unsatisfiable
% 20.01/5.24 |-Branch two:
% 20.01/5.24 | (736) ~ (greater(all_0_7_7, all_0_6_6) = 0)
% 20.01/5.24 | (737) all_0_6_6 = all_0_7_7
% 20.01/5.24 |
% 20.01/5.24 | Combining equations (737,728) yields a new equation:
% 20.01/5.24 | (738) all_123_1_255 = all_0_7_7
% 20.01/5.24 |
% 20.01/5.24 +-Applying beta-rule and splitting (679), into two cases.
% 20.01/5.24 |-Branch one:
% 20.01/5.24 | (739) all_33_2_62 = all_33_3_63
% 20.01/5.24 |
% 20.01/5.24 | From (739) and (732) follows:
% 20.01/5.24 | (740) greater_or_equal(all_33_3_63, all_33_3_63) = all_118_3_224
% 20.01/5.24 |
% 20.01/5.24 | From (739) and (525) follows:
% 20.01/5.24 | (741) greater_or_equal(all_33_3_63, all_33_3_63) = all_33_0_60
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (45) with all_118_3_224, all_33_3_63 and discharging atoms greater_or_equal(all_33_3_63, all_33_3_63) = all_118_3_224, yields:
% 20.01/5.24 | (742) all_118_3_224 = 0
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (61) with all_33_3_63, all_33_3_63, all_33_0_60, all_118_3_224 and discharging atoms greater_or_equal(all_33_3_63, all_33_3_63) = all_118_3_224, greater_or_equal(all_33_3_63, all_33_3_63) = all_33_0_60, yields:
% 20.01/5.24 | (743) all_118_3_224 = all_33_0_60
% 20.01/5.24 |
% 20.01/5.24 | Combining equations (743,742) yields a new equation:
% 20.01/5.24 | (744) all_33_0_60 = 0
% 20.01/5.24 |
% 20.01/5.24 | Simplifying 744 yields:
% 20.01/5.24 | (555) all_33_0_60 = 0
% 20.01/5.24 |
% 20.01/5.24 | Equations (555) can reduce 522 to:
% 20.01/5.24 | (91) $false
% 20.01/5.24 |
% 20.01/5.24 |-The branch is then unsatisfiable
% 20.01/5.24 |-Branch two:
% 20.01/5.24 | (747) ~ (all_33_2_62 = all_33_3_63)
% 20.01/5.24 | (748) ~ (all_123_1_255 = all_123_2_256) & external_ties(all_0_17_17, all_0_15_15) = all_123_2_256 & external_ties(all_0_17_17, all_0_16_16) = all_123_1_255
% 20.01/5.24 |
% 20.01/5.24 | Applying alpha-rule on (748) yields:
% 20.01/5.24 | (749) ~ (all_123_1_255 = all_123_2_256)
% 20.01/5.24 | (724) external_ties(all_0_17_17, all_0_15_15) = all_123_2_256
% 20.01/5.24 | (725) external_ties(all_0_17_17, all_0_16_16) = all_123_1_255
% 20.01/5.24 |
% 20.01/5.24 | Equations (738,727) can reduce 749 to:
% 20.01/5.24 | (91) $false
% 20.01/5.24 |
% 20.01/5.24 |-The branch is then unsatisfiable
% 20.01/5.24 |-Branch two:
% 20.01/5.24 | (753) ~ (all_118_6_227 = 0) & greater(all_32_3_56, all_32_2_55) = all_118_6_227
% 20.01/5.24 |
% 20.01/5.24 | Applying alpha-rule on (753) yields:
% 20.01/5.24 | (693) ~ (all_118_6_227 = 0)
% 20.01/5.24 | (755) greater(all_32_3_56, all_32_2_55) = all_118_6_227
% 20.01/5.24 |
% 20.01/5.24 | Instantiating formula (47) with all_32_3_56, all_32_2_55, all_118_6_227, 0 and discharging atoms greater(all_32_3_56, all_32_2_55) = all_118_6_227, greater(all_32_3_56, all_32_2_55) = 0, yields:
% 20.01/5.25 | (683) all_118_6_227 = 0
% 20.01/5.25 |
% 20.01/5.25 | Equations (683) can reduce 693 to:
% 20.01/5.25 | (91) $false
% 20.01/5.25 |
% 20.01/5.25 |-The branch is then unsatisfiable
% 20.01/5.25 |-Branch two:
% 20.01/5.25 | (758) ~ (all_65_4_196 = 0) & internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198 & internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197 & smaller_or_equal(all_65_6_198, all_65_5_197) = all_65_4_196
% 20.01/5.25 |
% 20.01/5.25 | Applying alpha-rule on (758) yields:
% 20.01/5.25 | (759) ~ (all_65_4_196 = 0)
% 20.01/5.25 | (760) internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198
% 20.01/5.25 | (761) internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197
% 20.01/5.25 | (762) smaller_or_equal(all_65_6_198, all_65_5_197) = all_65_4_196
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (7) with all_0_17_17, all_0_15_15, all_65_6_198, all_0_9_9 and discharging atoms internal_friction(all_0_17_17, all_0_15_15) = all_65_6_198, internal_friction(all_0_17_17, all_0_15_15) = all_0_9_9, yields:
% 20.01/5.25 | (763) all_65_6_198 = all_0_9_9
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (7) with all_0_17_17, all_0_16_16, all_65_5_197, all_0_8_8 and discharging atoms internal_friction(all_0_17_17, all_0_16_16) = all_65_5_197, internal_friction(all_0_17_17, all_0_16_16) = all_0_8_8, yields:
% 20.01/5.25 | (764) all_65_5_197 = all_0_8_8
% 20.01/5.25 |
% 20.01/5.25 | From (763)(764) and (762) follows:
% 20.01/5.25 | (765) smaller_or_equal(all_0_9_9, all_0_8_8) = all_65_4_196
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (19) with all_0_9_9, all_0_8_8, all_65_4_196, 0 and discharging atoms smaller_or_equal(all_0_9_9, all_0_8_8) = all_65_4_196, smaller_or_equal(all_0_9_9, all_0_8_8) = 0, yields:
% 20.01/5.25 | (766) all_65_4_196 = 0
% 20.01/5.25 |
% 20.01/5.25 | Equations (766) can reduce 759 to:
% 20.01/5.25 | (91) $false
% 20.01/5.25 |
% 20.01/5.25 |-The branch is then unsatisfiable
% 20.01/5.25 |-Branch two:
% 20.01/5.25 | (768) ~ (all_33_1_61 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater_or_equal(all_33_6_66, all_33_5_65) = all_33_1_61
% 20.01/5.25 |
% 20.01/5.25 | Applying alpha-rule on (768) yields:
% 20.01/5.25 | (582) ~ (all_33_1_61 = 0)
% 20.01/5.25 | (770) capability(all_0_17_17, all_0_15_15) = all_33_6_66
% 20.01/5.25 | (771) capability(all_0_17_17, all_0_16_16) = all_33_5_65
% 20.01/5.25 | (772) greater_or_equal(all_33_6_66, all_33_5_65) = all_33_1_61
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (39) with all_0_17_17, all_0_15_15, all_33_6_66, all_32_3_56 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_33_6_66, capability(all_0_17_17, all_0_15_15) = all_32_3_56, yields:
% 20.01/5.25 | (773) all_33_6_66 = all_32_3_56
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (39) with all_0_17_17, all_0_16_16, all_33_5_65, all_32_2_55 and discharging atoms capability(all_0_17_17, all_0_16_16) = all_33_5_65, capability(all_0_17_17, all_0_16_16) = all_32_2_55, yields:
% 20.01/5.25 | (774) all_33_5_65 = all_32_2_55
% 20.01/5.25 |
% 20.01/5.25 | From (773)(774) and (772) follows:
% 20.01/5.25 | (775) greater_or_equal(all_32_3_56, all_32_2_55) = all_33_1_61
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (61) with all_32_3_56, all_32_2_55, all_33_1_61, 0 and discharging atoms greater_or_equal(all_32_3_56, all_32_2_55) = all_33_1_61, greater_or_equal(all_32_3_56, all_32_2_55) = 0, yields:
% 20.01/5.25 | (719) all_33_1_61 = 0
% 20.01/5.25 |
% 20.01/5.25 | Equations (719) can reduce 582 to:
% 20.01/5.25 | (91) $false
% 20.01/5.25 |
% 20.01/5.25 |-The branch is then unsatisfiable
% 20.01/5.25 |-Branch two:
% 20.01/5.25 | (778) ~ (all_66_0_199 = 0) & greater_or_equal(all_32_3_56, all_32_2_55) = all_66_0_199
% 20.01/5.25 |
% 20.01/5.25 | Applying alpha-rule on (778) yields:
% 20.01/5.25 | (579) ~ (all_66_0_199 = 0)
% 20.01/5.25 | (780) greater_or_equal(all_32_3_56, all_32_2_55) = all_66_0_199
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (61) with all_32_3_56, all_32_2_55, 0, all_66_0_199 and discharging atoms greater_or_equal(all_32_3_56, all_32_2_55) = all_66_0_199, greater_or_equal(all_32_3_56, all_32_2_55) = 0, yields:
% 20.01/5.25 | (563) all_66_0_199 = 0
% 20.01/5.25 |
% 20.01/5.25 | Equations (563) can reduce 579 to:
% 20.01/5.25 | (91) $false
% 20.01/5.25 |
% 20.01/5.25 |-The branch is then unsatisfiable
% 20.01/5.25 |-Branch two:
% 20.01/5.25 | (783) ~ (all_33_4_64 = 0) & capability(all_0_17_17, all_0_15_15) = all_33_6_66 & capability(all_0_17_17, all_0_16_16) = all_33_5_65 & greater(all_33_6_66, all_33_5_65) = all_33_4_64
% 20.01/5.25 |
% 20.01/5.25 | Applying alpha-rule on (783) yields:
% 20.01/5.25 | (784) ~ (all_33_4_64 = 0)
% 20.01/5.25 | (770) capability(all_0_17_17, all_0_15_15) = all_33_6_66
% 20.01/5.25 | (771) capability(all_0_17_17, all_0_16_16) = all_33_5_65
% 20.01/5.25 | (787) greater(all_33_6_66, all_33_5_65) = all_33_4_64
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (39) with all_0_17_17, all_0_15_15, all_32_3_56, all_33_6_66 and discharging atoms capability(all_0_17_17, all_0_15_15) = all_33_6_66, capability(all_0_17_17, all_0_15_15) = all_32_3_56, yields:
% 20.01/5.25 | (773) all_33_6_66 = all_32_3_56
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (39) with all_0_17_17, all_0_16_16, all_32_2_55, all_33_5_65 and discharging atoms capability(all_0_17_17, all_0_16_16) = all_33_5_65, capability(all_0_17_17, all_0_16_16) = all_32_2_55, yields:
% 20.01/5.25 | (774) all_33_5_65 = all_32_2_55
% 20.01/5.25 |
% 20.01/5.25 | From (773)(774) and (787) follows:
% 20.01/5.25 | (790) greater(all_32_3_56, all_32_2_55) = all_33_4_64
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (47) with all_32_3_56, all_32_2_55, all_33_4_64, 0 and discharging atoms greater(all_32_3_56, all_32_2_55) = all_33_4_64, greater(all_32_3_56, all_32_2_55) = 0, yields:
% 20.01/5.25 | (791) all_33_4_64 = 0
% 20.01/5.25 |
% 20.01/5.25 | Equations (791) can reduce 784 to:
% 20.01/5.25 | (91) $false
% 20.01/5.25 |
% 20.01/5.25 |-The branch is then unsatisfiable
% 20.01/5.25 |-Branch two:
% 20.01/5.25 | (793) ~ (all_32_4_57 = 0) & stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59 & stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58 & greater(all_32_6_59, all_32_5_58) = all_32_4_57
% 20.01/5.25 |
% 20.01/5.25 | Applying alpha-rule on (793) yields:
% 20.01/5.25 | (794) ~ (all_32_4_57 = 0)
% 20.01/5.25 | (795) stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59
% 20.01/5.25 | (796) stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58
% 20.01/5.25 | (797) greater(all_32_6_59, all_32_5_58) = all_32_4_57
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (63) with all_0_17_17, all_0_15_15, all_32_6_59, all_0_12_12 and discharging atoms stock_of_knowledge(all_0_17_17, all_0_15_15) = all_32_6_59, stock_of_knowledge(all_0_17_17, all_0_15_15) = all_0_12_12, yields:
% 20.01/5.25 | (798) all_32_6_59 = all_0_12_12
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (63) with all_0_17_17, all_0_16_16, all_32_5_58, all_0_11_11 and discharging atoms stock_of_knowledge(all_0_17_17, all_0_16_16) = all_32_5_58, stock_of_knowledge(all_0_17_17, all_0_16_16) = all_0_11_11, yields:
% 20.01/5.25 | (799) all_32_5_58 = all_0_11_11
% 20.01/5.25 |
% 20.01/5.25 | From (798)(799) and (797) follows:
% 20.01/5.25 | (800) greater(all_0_12_12, all_0_11_11) = all_32_4_57
% 20.01/5.25 |
% 20.01/5.25 | Instantiating formula (47) with all_0_12_12, all_0_11_11, all_32_4_57, 0 and discharging atoms greater(all_0_12_12, all_0_11_11) = all_32_4_57, greater(all_0_12_12, all_0_11_11) = 0, yields:
% 20.01/5.25 | (801) all_32_4_57 = 0
% 20.01/5.25 |
% 20.01/5.25 | Equations (801) can reduce 794 to:
% 20.01/5.25 | (91) $false
% 20.01/5.25 |
% 20.01/5.25 |-The branch is then unsatisfiable
% 20.01/5.25 % SZS output end Proof for theBenchmark
% 20.01/5.25
% 20.01/5.25 4674ms
%------------------------------------------------------------------------------