TSTP Solution File: MGT054+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT054+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.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 22:07:12 EDT 2022
% Result : Theorem 25.51s 6.65s
% Output : Proof 40.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : MGT054+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 9 11:05:17 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.54/0.60 ____ _
% 0.54/0.60 ___ / __ \_____(_)___ ________ __________
% 0.54/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.60
% 0.54/0.60 A Theorem Prover for First-Order Logic
% 0.54/0.60 (ePrincess v.1.0)
% 0.54/0.60
% 0.54/0.60 (c) Philipp Rümmer, 2009-2015
% 0.54/0.60 (c) Peter Backeman, 2014-2015
% 0.54/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.60 Bug reports to peter@backeman.se
% 0.54/0.60
% 0.54/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.60
% 0.54/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.79/0.95 Prover 0: Preprocessing ...
% 2.34/1.17 Prover 0: Warning: ignoring some quantifiers
% 2.45/1.20 Prover 0: Constructing countermodel ...
% 14.77/4.16 Prover 0: gave up
% 14.77/4.16 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 14.98/4.19 Prover 1: Preprocessing ...
% 15.48/4.27 Prover 1: Constructing countermodel ...
% 15.93/4.38 Prover 1: gave up
% 15.93/4.38 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 15.93/4.40 Prover 2: Preprocessing ...
% 16.29/4.47 Prover 2: Warning: ignoring some quantifiers
% 16.29/4.47 Prover 2: Constructing countermodel ...
% 18.50/5.05 Prover 2: gave up
% 18.50/5.05 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 18.89/5.07 Prover 3: Preprocessing ...
% 19.03/5.09 Prover 3: Warning: ignoring some quantifiers
% 19.03/5.09 Prover 3: Constructing countermodel ...
% 19.27/5.16 Prover 3: gave up
% 19.27/5.16 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 19.27/5.18 Prover 4: Preprocessing ...
% 19.61/5.24 Prover 4: Warning: ignoring some quantifiers
% 19.61/5.24 Prover 4: Constructing countermodel ...
% 23.12/6.14 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 23.57/6.17 Prover 5: Preprocessing ...
% 24.01/6.26 Prover 5: Constructing countermodel ...
% 25.51/6.65 Prover 5: proved (513ms)
% 25.51/6.65 Prover 4: stopped
% 25.51/6.65
% 25.51/6.65 No countermodel exists, formula is valid
% 25.51/6.65 % SZS status Theorem for theBenchmark
% 25.51/6.65
% 25.51/6.65 Generating proof ... found it (size 514)
% 39.02/9.91
% 39.02/9.91 % SZS output start Proof for theBenchmark
% 39.02/9.91 Assumed formulas after preprocessing and simplification:
% 39.02/9.91 | (0) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (dissimilar(v4, v3, v2) = v1) | ~ (dissimilar(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (age(v3, v2) = v1) | ~ (age(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_aligned(v3, v2) = v1) | ~ (is_aligned(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (has_endowment(v2) = v1) | ~ (has_endowment(v2) = v0)) & ? [v0] : (greater(sigma, zero) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (has_immunity(v1, v3) = v5) | ~ (has_immunity(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v7 & capability(v1, v2) = v8 & hazard_of_mortality(v1, v3) = v11 & hazard_of_mortality(v1, v2) = v10 & organization(v1) = v6 & greater(v10, v11) = v12 & greater(v7, v8) = v9 & ( ~ (v9 = 0) | ~ (v6 = 0) | v12 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (capability(v1, v3) = v5) | ~ (has_immunity(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v2) = v8 & hazard_of_mortality(v1, v3) = v11 & hazard_of_mortality(v1, v2) = v10 & has_immunity(v1, v3) = v7 & organization(v1) = v6 & greater(v10, v11) = v12 & greater(v5, v8) = v9 & ( ~ (v9 = 0) | ~ (v6 = 0) | v12 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (capability(v1, v2) = v5) | ~ (is_aligned(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (capability(v1, v3) = v8 & is_aligned(v1, v2) = v7 & organization(v1) = v6 & greater(v5, v8) = v9 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (capability(v1, v2) = v5) | ~ (has_immunity(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v8 & hazard_of_mortality(v1, v3) = v11 & hazard_of_mortality(v1, v2) = v10 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v10, v11) = v12 & greater(v8, v5) = v9 & ( ~ (v9 = 0) | ~ (v6 = 0) | v12 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (hazard_of_mortality(v1, v3) = v5) | ~ (has_immunity(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v8 & capability(v1, v2) = v9 & hazard_of_mortality(v1, v2) = v11 & has_immunity(v1, v3) = v7 & organization(v1) = v6 & greater(v11, v5) = v12 & greater(v8, v9) = v10 & ( ~ (v10 = 0) | ~ (v6 = 0) | v12 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (hazard_of_mortality(v1, v2) = v5) | ~ (has_immunity(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v8 & capability(v1, v2) = v9 & hazard_of_mortality(v1, v3) = v11 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v8, v9) = v10 & greater(v5, v11) = v12 & ( ~ (v10 = 0) | ~ (v6 = 0) | v12 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (hazard_of_mortality(v1, v2) = v5) | ~ (has_immunity(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (hazard_of_mortality(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v8, v5) = v9 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v1, v3) = v5) | ~ (capability(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (is_aligned(v1, v3) = v8 & is_aligned(v1, v2) = v7 & organization(v1) = v6 & greater(v4, v5) = v9 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v1, v3) = v4) | ~ (capability(v1, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (hazard_of_mortality(v1, v3) = v11 & hazard_of_mortality(v1, v2) = v10 & has_immunity(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v10, v11) = v12 & greater(v4, v5) = v9 & ( ~ (v9 = 0) | ~ (v6 = 0) | v12 = 0 | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v1, v3) = v4) | ~ (hazard_of_mortality(v1, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v2) = v9 & hazard_of_mortality(v1, v3) = v11 & has_immunity(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v5, v11) = v12 & greater(v4, v9) = v10 & ( ~ (v10 = 0) | ~ (v6 = 0) | v12 = 0 | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v1, v2) = v4) | ~ (hazard_of_mortality(v1, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v9 & hazard_of_mortality(v1, v2) = v11 & has_immunity(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v11, v5) = v12 & greater(v9, v4) = v10 & ( ~ (v10 = 0) | ~ (v6 = 0) | v12 = 0 | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (is_aligned(v1, v3) = v5) | ~ (is_aligned(v1, v2) = v4) | ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v7 & organization(v1) = v6 & ( ~ (v6 = 0) | v7 = 0)) | (( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (is_aligned(v1, v3) = v5) | ~ (is_aligned(v1, v2) = v4) | ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v6 & organization(v1) = v7 & ( ~ (v6 = 0) | (v7 = 0 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hazard_of_mortality(v1, v3) = v5) | ~ (hazard_of_mortality(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v9 & capability(v1, v2) = v10 & has_immunity(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v9, v10) = v11 & greater(v4, v5) = v12 & ( ~ (v11 = 0) | ~ (v6 = 0) | v12 = 0 | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hazard_of_mortality(v1, v3) = v4) | ~ (hazard_of_mortality(v1, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (has_immunity(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v4, v5) = v9 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (is_aligned(v1, v3) = v4) | ~ (is_aligned(v1, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (capability(v1, v3) = v7 & capability(v1, v2) = v6 & organization(v1) = v5 & greater(v6, v7) = v8 & ( ~ (v5 = 0) | v8 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (dissimilar(v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (is_aligned(v1, v3) = v7 & is_aligned(v1, v2) = v6 & organization(v1) = v5 & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (has_immunity(v1, v3) = v4) | ~ (has_immunity(v1, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v1, v3) = v6 & hazard_of_mortality(v1, v2) = v7 & organization(v1) = v5 & greater(v6, v7) = v8 & ( ~ (v5 = 0) | v8 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater(v2, v3) = 0) | ~ (greater(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & greater(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater(v1, v3) = v4) | ~ (greater(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & greater(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (capability(v1, v3) = v4) | ~ (is_aligned(v1, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (capability(v1, v2) = v7 & is_aligned(v1, v3) = v6 & organization(v1) = v5 & greater(v7, v4) = v8 & ( ~ (v5 = 0) | v8 = 0 | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (age(v1, v3) = v4) | ~ (age(v1, v2) = zero) | ? [v5] : ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v7 & organization(v1) = v5 & greater(v4, sigma) = v6 & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (dissimilar(v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (age(v1, v3) = v7 & age(v1, v2) = v6 & organization(v1) = v5 & greater(v7, sigma) = v8 & ( ~ (v6 = zero) | ~ (v5 = 0) | (( ~ (v8 = 0) | v4 = 0) & ( ~ (v4 = 0) | v8 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hazard_of_mortality(v1, v3) = v4) | ~ (has_immunity(v1, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v1, v2) = v7 & has_immunity(v1, v3) = v6 & organization(v1) = v5 & greater(v4, v7) = v8 & ( ~ (v5 = 0) | v8 = 0 | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (greater(v1, v2) = v3) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (greater(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater_or_equal(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (smaller(v1, v2) = v3) | greater(v1, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (smaller(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & smaller_or_equal(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (is_aligned(v1, v2) = v3) | ? [v4] : ? [v5] : (age(v1, v2) = v5 & organization(v1) = v4 & ( ~ (v5 = zero) | ~ (v4 = 0)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & smaller(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater_or_equal(v1, v2) = v3) | ( ~ (v2 = v1) & ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (smaller(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v2, v1) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (smaller_or_equal(v1, v2) = v3) | ( ~ (v2 = v1) & ? [v4] : ( ~ (v4 = 0) & smaller(v1, v2) = v4))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (dissimilar(v1, v2, v3) = 0) | ? [v4] : ? [v5] : (is_aligned(v1, v3) = v5 & is_aligned(v1, v2) = v4 & organization(v1) = 0 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (greater(v2, v3) = 0) | ~ (greater(v1, v2) = 0) | greater(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (greater(v1, v2) = v3) | greater_or_equal(v1, v2) = 0 | ( ~ (v3 = 0) & ~ (v2 = v1))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (smaller(v1, v2) = v3) | smaller_or_equal(v1, v2) = 0 | ( ~ (v3 = 0) & ~ (v2 = v1))) & ! [v1] : ! [v2] : (v2 = v1 | ~ (greater_or_equal(v1, v2) = 0) | greater(v1, v2) = 0) & ! [v1] : ! [v2] : (v2 = v1 | ~ (smaller_or_equal(v1, v2) = 0) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : ( ~ (age(v1, v2) = zero) | ? [v3] : ? [v4] : (is_aligned(v1, v2) = v4 & organization(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (has_immunity(v1, v2) = 0) | ? [v3] : ? [v4] : (organization(v1) = v3 & has_endowment(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (greater(v2, v1) = 0) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : ( ~ (greater(v2, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v2) = v3)) & ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & greater(v2, v1) = v3)) & ! [v1] : ! [v2] : ( ~ (smaller(v1, v2) = 0) | greater(v2, v1) = 0) & ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (v0 = 0 & ~ (v10 = 0) & ~ (v5 = 0) & age(v1, v4) = v7 & age(v1, v3) = v6 & age(v1, v2) = zero & hazard_of_mortality(v1, v4) = v8 & hazard_of_mortality(v1, v3) = v9 & organization(v1) = 0 & has_endowment(v1) = v5 & greater(v8, v9) = v10 & greater(v7, sigma) = 0 & smaller_or_equal(v6, sigma) = 0))
% 39.40/9.98 | Applying alpha-rule on (0) yields:
% 39.40/9.98 | (1) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0))
% 39.40/9.98 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3, v2) = v0))
% 39.40/9.98 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0))
% 39.40/9.98 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (has_endowment(v2) = v1) | ~ (has_endowment(v2) = v0))
% 39.40/9.98 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0))
% 39.40/9.98 | (6) ? [v0] : (greater(sigma, zero) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (has_immunity(v1, v3) = v5) | ~ (has_immunity(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v7 & capability(v1, v2) = v8 & hazard_of_mortality(v1, v3) = v11 & hazard_of_mortality(v1, v2) = v10 & organization(v1) = v6 & greater(v10, v11) = v12 & greater(v7, v8) = v9 & ( ~ (v9 = 0) | ~ (v6 = 0) | v12 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (capability(v1, v3) = v5) | ~ (has_immunity(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v2) = v8 & hazard_of_mortality(v1, v3) = v11 & hazard_of_mortality(v1, v2) = v10 & has_immunity(v1, v3) = v7 & organization(v1) = v6 & greater(v10, v11) = v12 & greater(v5, v8) = v9 & ( ~ (v9 = 0) | ~ (v6 = 0) | v12 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (capability(v1, v2) = v5) | ~ (is_aligned(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (capability(v1, v3) = v8 & is_aligned(v1, v2) = v7 & organization(v1) = v6 & greater(v5, v8) = v9 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (capability(v1, v2) = v5) | ~ (has_immunity(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v8 & hazard_of_mortality(v1, v3) = v11 & hazard_of_mortality(v1, v2) = v10 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v10, v11) = v12 & greater(v8, v5) = v9 & ( ~ (v9 = 0) | ~ (v6 = 0) | v12 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (hazard_of_mortality(v1, v3) = v5) | ~ (has_immunity(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v8 & capability(v1, v2) = v9 & hazard_of_mortality(v1, v2) = v11 & has_immunity(v1, v3) = v7 & organization(v1) = v6 & greater(v11, v5) = v12 & greater(v8, v9) = v10 & ( ~ (v10 = 0) | ~ (v6 = 0) | v12 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (hazard_of_mortality(v1, v2) = v5) | ~ (has_immunity(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v8 & capability(v1, v2) = v9 & hazard_of_mortality(v1, v3) = v11 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v8, v9) = v10 & greater(v5, v11) = v12 & ( ~ (v10 = 0) | ~ (v6 = 0) | v12 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (hazard_of_mortality(v1, v2) = v5) | ~ (has_immunity(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (hazard_of_mortality(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v8, v5) = v9 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v1, v3) = v5) | ~ (capability(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (is_aligned(v1, v3) = v8 & is_aligned(v1, v2) = v7 & organization(v1) = v6 & greater(v4, v5) = v9 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v1, v3) = v4) | ~ (capability(v1, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (hazard_of_mortality(v1, v3) = v11 & hazard_of_mortality(v1, v2) = v10 & has_immunity(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v10, v11) = v12 & greater(v4, v5) = v9 & ( ~ (v9 = 0) | ~ (v6 = 0) | v12 = 0 | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v1, v3) = v4) | ~ (hazard_of_mortality(v1, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v2) = v9 & hazard_of_mortality(v1, v3) = v11 & has_immunity(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v5, v11) = v12 & greater(v4, v9) = v10 & ( ~ (v10 = 0) | ~ (v6 = 0) | v12 = 0 | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v1, v2) = v4) | ~ (hazard_of_mortality(v1, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v9 & hazard_of_mortality(v1, v2) = v11 & has_immunity(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v11, v5) = v12 & greater(v9, v4) = v10 & ( ~ (v10 = 0) | ~ (v6 = 0) | v12 = 0 | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (is_aligned(v1, v3) = v5) | ~ (is_aligned(v1, v2) = v4) | ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v7 & organization(v1) = v6 & ( ~ (v6 = 0) | v7 = 0)) | (( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (is_aligned(v1, v3) = v5) | ~ (is_aligned(v1, v2) = v4) | ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v6 & organization(v1) = v7 & ( ~ (v6 = 0) | (v7 = 0 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hazard_of_mortality(v1, v3) = v5) | ~ (hazard_of_mortality(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (capability(v1, v3) = v9 & capability(v1, v2) = v10 & has_immunity(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v9, v10) = v11 & greater(v4, v5) = v12 & ( ~ (v11 = 0) | ~ (v6 = 0) | v12 = 0 | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hazard_of_mortality(v1, v3) = v4) | ~ (hazard_of_mortality(v1, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (has_immunity(v1, v3) = v8 & has_immunity(v1, v2) = v7 & organization(v1) = v6 & greater(v4, v5) = v9 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (is_aligned(v1, v3) = v4) | ~ (is_aligned(v1, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (capability(v1, v3) = v7 & capability(v1, v2) = v6 & organization(v1) = v5 & greater(v6, v7) = v8 & ( ~ (v5 = 0) | v8 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (dissimilar(v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (is_aligned(v1, v3) = v7 & is_aligned(v1, v2) = v6 & organization(v1) = v5 & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (has_immunity(v1, v3) = v4) | ~ (has_immunity(v1, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v1, v3) = v6 & hazard_of_mortality(v1, v2) = v7 & organization(v1) = v5 & greater(v6, v7) = v8 & ( ~ (v5 = 0) | v8 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater(v2, v3) = 0) | ~ (greater(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & greater(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater(v1, v3) = v4) | ~ (greater(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & greater(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (capability(v1, v3) = v4) | ~ (is_aligned(v1, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (capability(v1, v2) = v7 & is_aligned(v1, v3) = v6 & organization(v1) = v5 & greater(v7, v4) = v8 & ( ~ (v5 = 0) | v8 = 0 | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (age(v1, v3) = v4) | ~ (age(v1, v2) = zero) | ? [v5] : ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v7 & organization(v1) = v5 & greater(v4, sigma) = v6 & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (dissimilar(v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (age(v1, v3) = v7 & age(v1, v2) = v6 & organization(v1) = v5 & greater(v7, sigma) = v8 & ( ~ (v6 = zero) | ~ (v5 = 0) | (( ~ (v8 = 0) | v4 = 0) & ( ~ (v4 = 0) | v8 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hazard_of_mortality(v1, v3) = v4) | ~ (has_immunity(v1, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v1, v2) = v7 & has_immunity(v1, v3) = v6 & organization(v1) = v5 & greater(v4, v7) = v8 & ( ~ (v5 = 0) | v8 = 0 | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (greater(v1, v2) = v3) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (greater(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater_or_equal(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (smaller(v1, v2) = v3) | greater(v1, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (smaller(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & smaller_or_equal(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (is_aligned(v1, v2) = v3) | ? [v4] : ? [v5] : (age(v1, v2) = v5 & organization(v1) = v4 & ( ~ (v5 = zero) | ~ (v4 = 0)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & smaller(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater_or_equal(v1, v2) = v3) | ( ~ (v2 = v1) & ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (smaller(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v2, v1) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (smaller_or_equal(v1, v2) = v3) | ( ~ (v2 = v1) & ? [v4] : ( ~ (v4 = 0) & smaller(v1, v2) = v4))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (dissimilar(v1, v2, v3) = 0) | ? [v4] : ? [v5] : (is_aligned(v1, v3) = v5 & is_aligned(v1, v2) = v4 & organization(v1) = 0 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (greater(v2, v3) = 0) | ~ (greater(v1, v2) = 0) | greater(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (greater(v1, v2) = v3) | greater_or_equal(v1, v2) = 0 | ( ~ (v3 = 0) & ~ (v2 = v1))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (smaller(v1, v2) = v3) | smaller_or_equal(v1, v2) = 0 | ( ~ (v3 = 0) & ~ (v2 = v1))) & ! [v1] : ! [v2] : (v2 = v1 | ~ (greater_or_equal(v1, v2) = 0) | greater(v1, v2) = 0) & ! [v1] : ! [v2] : (v2 = v1 | ~ (smaller_or_equal(v1, v2) = 0) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : ( ~ (age(v1, v2) = zero) | ? [v3] : ? [v4] : (is_aligned(v1, v2) = v4 & organization(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (has_immunity(v1, v2) = 0) | ? [v3] : ? [v4] : (organization(v1) = v3 & has_endowment(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (greater(v2, v1) = 0) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : ( ~ (greater(v2, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v2) = v3)) & ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & greater(v2, v1) = v3)) & ! [v1] : ! [v2] : ( ~ (smaller(v1, v2) = 0) | greater(v2, v1) = 0) & ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (v0 = 0 & ~ (v10 = 0) & ~ (v5 = 0) & age(v1, v4) = v7 & age(v1, v3) = v6 & age(v1, v2) = zero & hazard_of_mortality(v1, v4) = v8 & hazard_of_mortality(v1, v3) = v9 & organization(v1) = 0 & has_endowment(v1) = v5 & greater(v8, v9) = v10 & greater(v7, sigma) = 0 & smaller_or_equal(v6, sigma) = 0))
% 39.40/10.00 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0))
% 39.40/10.00 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_aligned(v3, v2) = v1) | ~ (is_aligned(v3, v2) = v0))
% 39.40/10.00 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0))
% 39.40/10.00 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 39.40/10.00 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (dissimilar(v4, v3, v2) = v1) | ~ (dissimilar(v4, v3, v2) = v0))
% 39.40/10.00 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0))
% 39.40/10.00 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (age(v3, v2) = v1) | ~ (age(v3, v2) = v0))
% 39.40/10.00 |
% 39.40/10.00 | Instantiating (6) with all_1_0_0 yields:
% 39.40/10.00 | (14) greater(sigma, zero) = all_1_0_0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (has_immunity(v0, v2) = v4) | ~ (has_immunity(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v6 & capability(v0, v1) = v7 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v9 & organization(v0) = v5 & greater(v9, v10) = v11 & greater(v6, v7) = v8 & ( ~ (v8 = 0) | ~ (v5 = 0) | v11 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (capability(v0, v2) = v4) | ~ (has_immunity(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v1) = v7 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v9 & has_immunity(v0, v2) = v6 & organization(v0) = v5 & greater(v9, v10) = v11 & greater(v4, v7) = v8 & ( ~ (v8 = 0) | ~ (v5 = 0) | v11 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (capability(v0, v1) = v4) | ~ (is_aligned(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (capability(v0, v2) = v7 & is_aligned(v0, v1) = v6 & organization(v0) = v5 & greater(v4, v7) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (capability(v0, v1) = v4) | ~ (has_immunity(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v7 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v9 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v9, v10) = v11 & greater(v7, v4) = v8 & ( ~ (v8 = 0) | ~ (v5 = 0) | v11 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (hazard_of_mortality(v0, v2) = v4) | ~ (has_immunity(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v7 & capability(v0, v1) = v8 & hazard_of_mortality(v0, v1) = v10 & has_immunity(v0, v2) = v6 & organization(v0) = v5 & greater(v10, v4) = v11 & greater(v7, v8) = v9 & ( ~ (v9 = 0) | ~ (v5 = 0) | v11 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (hazard_of_mortality(v0, v1) = v4) | ~ (has_immunity(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v7 & capability(v0, v1) = v8 & hazard_of_mortality(v0, v2) = v10 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v7, v8) = v9 & greater(v4, v10) = v11 & ( ~ (v9 = 0) | ~ (v5 = 0) | v11 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (hazard_of_mortality(v0, v1) = v4) | ~ (has_immunity(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v7, v4) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (capability(v0, v2) = v4) | ~ (capability(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (is_aligned(v0, v2) = v7 & is_aligned(v0, v1) = v6 & organization(v0) = v5 & greater(v3, v4) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v9 & has_immunity(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v9, v10) = v11 & greater(v3, v4) = v8 & ( ~ (v8 = 0) | ~ (v5 = 0) | v11 = 0 | v7 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (capability(v0, v2) = v3) | ~ (hazard_of_mortality(v0, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v1) = v8 & hazard_of_mortality(v0, v2) = v10 & has_immunity(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v4, v10) = v11 & greater(v3, v8) = v9 & ( ~ (v9 = 0) | ~ (v5 = 0) | v11 = 0 | v7 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (capability(v0, v1) = v3) | ~ (hazard_of_mortality(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v8 & hazard_of_mortality(v0, v1) = v10 & has_immunity(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v10, v4) = v11 & greater(v8, v3) = v9 & ( ~ (v9 = 0) | ~ (v5 = 0) | v11 = 0 | v7 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (is_aligned(v0, v2) = v4) | ~ (is_aligned(v0, v1) = v3) | ? [v5] : ? [v6] : (dissimilar(v0, v1, v2) = v6 & organization(v0) = v5 & ( ~ (v5 = 0) | v6 = 0)) | (( ~ (v4 = 0) | v3 = 0) & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (is_aligned(v0, v2) = v4) | ~ (is_aligned(v0, v1) = v3) | ? [v5] : ? [v6] : (dissimilar(v0, v1, v2) = v5 & organization(v0) = v6 & ( ~ (v5 = 0) | (v6 = 0 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hazard_of_mortality(v0, v2) = v4) | ~ (hazard_of_mortality(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v8 & capability(v0, v1) = v9 & has_immunity(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v8, v9) = v10 & greater(v3, v4) = v11 & ( ~ (v10 = 0) | ~ (v5 = 0) | v11 = 0 | v7 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~ (hazard_of_mortality(v0, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (has_immunity(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v3, v4) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (is_aligned(v0, v2) = v3) | ~ (is_aligned(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (capability(v0, v2) = v6 & capability(v0, v1) = v5 & organization(v0) = v4 & greater(v5, v6) = v7 & ( ~ (v4 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (dissimilar(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (is_aligned(v0, v2) = v6 & is_aligned(v0, v1) = v5 & organization(v0) = v4 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v5 = 0) & ( ~ (v5 = 0) | v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (has_immunity(v0, v2) = v3) | ~ (has_immunity(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (hazard_of_mortality(v0, v2) = v5 & hazard_of_mortality(v0, v1) = v6 & organization(v0) = v4 & greater(v5, v6) = v7 & ( ~ (v4 = 0) | v7 = 0))) & ! [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] : ( ~ (capability(v0, v2) = v3) | ~ (is_aligned(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (capability(v0, v1) = v6 & is_aligned(v0, v2) = v5 & organization(v0) = v4 & greater(v6, v3) = v7 & ( ~ (v4 = 0) | v7 = 0 | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = zero) | ? [v4] : ? [v5] : ? [v6] : (dissimilar(v0, v1, v2) = v6 & organization(v0) = v4 & greater(v3, sigma) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v5 = 0) & ( ~ (v5 = 0) | v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (dissimilar(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (age(v0, v2) = v6 & age(v0, v1) = v5 & organization(v0) = v4 & greater(v6, sigma) = v7 & ( ~ (v5 = zero) | ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~ (has_immunity(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (hazard_of_mortality(v0, v1) = v6 & has_immunity(v0, v2) = v5 & organization(v0) = v4 & greater(v3, v6) = v7 & ( ~ (v4 = 0) | v7 = 0 | v5 = 0))) & ! [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 | ~ (is_aligned(v0, v1) = v2) | ? [v3] : ? [v4] : (age(v0, v1) = v4 & organization(v0) = v3 & ( ~ (v4 = zero) | ~ (v3 = 0)))) & ! [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) | ( ~ (v1 = v0) & ? [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) | ( ~ (v1 = v0) & ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (dissimilar(v0, v1, v2) = 0) | ? [v3] : ? [v4] : (is_aligned(v0, v2) = v4 & is_aligned(v0, v1) = v3 & organization(v0) = 0 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v0, v1) = v2) | greater_or_equal(v0, v1) = 0 | ( ~ (v2 = 0) & ~ (v1 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (smaller(v0, v1) = v2) | smaller_or_equal(v0, v1) = 0 | ( ~ (v2 = 0) & ~ (v1 = v0))) & ! [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] : ( ~ (age(v0, v1) = zero) | ? [v2] : ? [v3] : (is_aligned(v0, v1) = v3 & organization(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (has_immunity(v0, v1) = 0) | ? [v2] : ? [v3] : (organization(v0) = v2 & has_endowment(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [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) | ? [v2] : ( ~ (v2 = 0) & greater(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | greater(v1, v0) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (all_1_0_0 = 0 & ~ (v9 = 0) & ~ (v4 = 0) & age(v0, v3) = v6 & age(v0, v2) = v5 & age(v0, v1) = zero & hazard_of_mortality(v0, v3) = v7 & hazard_of_mortality(v0, v2) = v8 & organization(v0) = 0 & has_endowment(v0) = v4 & greater(v7, v8) = v9 & greater(v6, sigma) = 0 & smaller_or_equal(v5, sigma) = 0)
% 39.40/10.02 |
% 39.40/10.02 | Applying alpha-rule on (14) yields:
% 39.40/10.02 | (15) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2))
% 39.40/10.02 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (hazard_of_mortality(v0, v1) = v4) | ~ (has_immunity(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v7 & capability(v0, v1) = v8 & hazard_of_mortality(v0, v2) = v10 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v7, v8) = v9 & greater(v4, v10) = v11 & ( ~ (v9 = 0) | ~ (v5 = 0) | v11 = 0 | v6 = 0)))
% 39.40/10.03 | (17) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_aligned(v0, v1) = v2) | ? [v3] : ? [v4] : (age(v0, v1) = v4 & organization(v0) = v3 & ( ~ (v4 = zero) | ~ (v3 = 0))))
% 39.40/10.03 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (capability(v0, v1) = v4) | ~ (has_immunity(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v7 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v9 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v9, v10) = v11 & greater(v7, v4) = v8 & ( ~ (v8 = 0) | ~ (v5 = 0) | v11 = 0 | v6 = 0)))
% 39.40/10.03 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v0, v1) = v2) | greater_or_equal(v0, v1) = 0 | ( ~ (v2 = 0) & ~ (v1 = v0)))
% 39.40/10.03 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hazard_of_mortality(v0, v2) = v4) | ~ (hazard_of_mortality(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v8 & capability(v0, v1) = v9 & has_immunity(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v8, v9) = v10 & greater(v3, v4) = v11 & ( ~ (v10 = 0) | ~ (v5 = 0) | v11 = 0 | v7 = 0 | v6 = 0)))
% 39.40/10.03 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (capability(v0, v2) = v4) | ~ (has_immunity(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v1) = v7 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v9 & has_immunity(v0, v2) = v6 & organization(v0) = v5 & greater(v9, v10) = v11 & greater(v4, v7) = v8 & ( ~ (v8 = 0) | ~ (v5 = 0) | v11 = 0 | v6 = 0)))
% 39.40/10.03 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = zero) | ? [v4] : ? [v5] : ? [v6] : (dissimilar(v0, v1, v2) = v6 & organization(v0) = v4 & greater(v3, sigma) = v5 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v5 = 0) & ( ~ (v5 = 0) | v6 = 0)))))
% 39.40/10.03 | (23) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ( ~ (v1 = v0) & ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3)))
% 39.40/10.03 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~ (hazard_of_mortality(v0, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (has_immunity(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v3, v4) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0)))
% 39.40/10.03 | (25) greater(sigma, zero) = all_1_0_0
% 39.40/10.03 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v9 & has_immunity(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v9, v10) = v11 & greater(v3, v4) = v8 & ( ~ (v8 = 0) | ~ (v5 = 0) | v11 = 0 | v7 = 0 | v6 = 0)))
% 39.40/10.03 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0)
% 39.40/10.03 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (hazard_of_mortality(v0, v2) = v4) | ~ (has_immunity(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v7 & capability(v0, v1) = v8 & hazard_of_mortality(v0, v1) = v10 & has_immunity(v0, v2) = v6 & organization(v0) = v5 & greater(v10, v4) = v11 & greater(v7, v8) = v9 & ( ~ (v9 = 0) | ~ (v5 = 0) | v11 = 0 | v6 = 0)))
% 39.40/10.03 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (is_aligned(v0, v2) = v3) | ~ (is_aligned(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (capability(v0, v2) = v6 & capability(v0, v1) = v5 & organization(v0) = v4 & greater(v5, v6) = v7 & ( ~ (v4 = 0) | v7 = 0)))
% 39.40/10.03 | (30) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 39.40/10.03 | (31) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | greater(v1, v0) = 0)
% 39.40/10.03 | (32) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | smaller(v0, v1) = 0)
% 39.40/10.03 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~ (has_immunity(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (hazard_of_mortality(v0, v1) = v6 & has_immunity(v0, v2) = v5 & organization(v0) = v4 & greater(v3, v6) = v7 & ( ~ (v4 = 0) | v7 = 0 | v5 = 0)))
% 39.40/10.03 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (hazard_of_mortality(v0, v1) = v4) | ~ (has_immunity(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v7, v4) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0)))
% 39.40/10.03 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (smaller(v0, v1) = v2) | smaller_or_equal(v0, v1) = 0 | ( ~ (v2 = 0) & ~ (v1 = v0)))
% 39.40/10.03 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (capability(v0, v2) = v4) | ~ (capability(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (is_aligned(v0, v2) = v7 & is_aligned(v0, v1) = v6 & organization(v0) = v5 & greater(v3, v4) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0)))
% 39.40/10.03 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (is_aligned(v0, v2) = v4) | ~ (is_aligned(v0, v1) = v3) | ? [v5] : ? [v6] : (dissimilar(v0, v1, v2) = v6 & organization(v0) = v5 & ( ~ (v5 = 0) | v6 = 0)) | (( ~ (v4 = 0) | v3 = 0) & ( ~ (v3 = 0) | v4 = 0)))
% 39.40/10.04 | (38) ! [v0] : ! [v1] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0)
% 39.40/10.04 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (has_immunity(v0, v2) = v3) | ~ (has_immunity(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (hazard_of_mortality(v0, v2) = v5 & hazard_of_mortality(v0, v1) = v6 & organization(v0) = v4 & greater(v5, v6) = v7 & ( ~ (v4 = 0) | v7 = 0)))
% 39.40/10.04 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (is_aligned(v0, v2) = v4) | ~ (is_aligned(v0, v1) = v3) | ? [v5] : ? [v6] : (dissimilar(v0, v1, v2) = v5 & organization(v0) = v6 & ( ~ (v5 = 0) | (v6 = 0 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0)))))
% 39.40/10.04 | (41) ! [v0] : ! [v1] : ( ~ (has_immunity(v0, v1) = 0) | ? [v2] : ? [v3] : (organization(v0) = v2 & has_endowment(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 39.40/10.04 | (42) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3))
% 39.40/10.04 | (43) ! [v0] : ! [v1] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | smaller(v0, v1) = 0)
% 39.40/10.04 | (44) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | greater(v0, v1) = 0)
% 39.78/10.04 | (45) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | smaller(v0, v1) = 0)
% 39.78/10.04 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (dissimilar(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (age(v0, v2) = v6 & age(v0, v1) = v5 & organization(v0) = v4 & greater(v6, sigma) = v7 & ( ~ (v5 = zero) | ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0)))))
% 39.78/10.04 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))
% 39.78/10.04 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (capability(v0, v2) = v3) | ~ (is_aligned(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (capability(v0, v1) = v6 & is_aligned(v0, v2) = v5 & organization(v0) = v4 & greater(v6, v3) = v7 & ( ~ (v4 = 0) | v7 = 0 | v5 = 0)))
% 39.78/10.04 | (49) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3))
% 39.78/10.04 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ (dissimilar(v0, v1, v2) = 0) | ? [v3] : ? [v4] : (is_aligned(v0, v2) = v4 & is_aligned(v0, v1) = v3 & organization(v0) = 0 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0)))
% 39.78/10.04 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (capability(v0, v1) = v3) | ~ (hazard_of_mortality(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v8 & hazard_of_mortality(v0, v1) = v10 & has_immunity(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v10, v4) = v11 & greater(v8, v3) = v9 & ( ~ (v9 = 0) | ~ (v5 = 0) | v11 = 0 | v7 = 0 | v6 = 0)))
% 39.78/10.04 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = 0) | ~ (greater(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4))
% 39.78/10.04 | (53) ! [v0] : ! [v1] : ( ~ (age(v0, v1) = zero) | ? [v2] : ? [v3] : (is_aligned(v0, v1) = v3 & organization(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 39.78/10.04 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (capability(v0, v1) = v4) | ~ (is_aligned(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (capability(v0, v2) = v7 & is_aligned(v0, v1) = v6 & organization(v0) = v5 & greater(v4, v7) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0)))
% 39.78/10.04 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (capability(v0, v2) = v3) | ~ (hazard_of_mortality(v0, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v1) = v8 & hazard_of_mortality(v0, v2) = v10 & has_immunity(v0, v2) = v7 & has_immunity(v0, v1) = v6 & organization(v0) = v5 & greater(v4, v10) = v11 & greater(v3, v8) = v9 & ( ~ (v9 = 0) | ~ (v5 = 0) | v11 = 0 | v7 = 0 | v6 = 0)))
% 39.78/10.04 | (56) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ( ~ (v1 = v0) & ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3)))
% 39.78/10.05 | (57) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v1, v0) = v2))
% 39.78/10.05 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (dissimilar(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (is_aligned(v0, v2) = v6 & is_aligned(v0, v1) = v5 & organization(v0) = v4 & ( ~ (v4 = 0) | (( ~ (v6 = 0) | v5 = 0) & ( ~ (v5 = 0) | v6 = 0)))))
% 39.78/10.05 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (has_immunity(v0, v2) = v4) | ~ (has_immunity(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (capability(v0, v2) = v6 & capability(v0, v1) = v7 & hazard_of_mortality(v0, v2) = v10 & hazard_of_mortality(v0, v1) = v9 & organization(v0) = v5 & greater(v9, v10) = v11 & greater(v6, v7) = v8 & ( ~ (v8 = 0) | ~ (v5 = 0) | v11 = 0)))
% 39.78/10.05 | (60) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller_or_equal(v0, v1) = v3))
% 39.78/10.05 | (61) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (all_1_0_0 = 0 & ~ (v9 = 0) & ~ (v4 = 0) & age(v0, v3) = v6 & age(v0, v2) = v5 & age(v0, v1) = zero & hazard_of_mortality(v0, v3) = v7 & hazard_of_mortality(v0, v2) = v8 & organization(v0) = 0 & has_endowment(v0) = v4 & greater(v7, v8) = v9 & greater(v6, sigma) = 0 & smaller_or_equal(v5, sigma) = 0)
% 39.78/10.05 |
% 39.78/10.05 | Instantiating (61) with all_4_0_1, all_4_1_2, all_4_2_3, all_4_3_4, all_4_4_5, all_4_5_6, all_4_6_7, all_4_7_8, all_4_8_9, all_4_9_10 yields:
% 39.78/10.05 | (62) all_1_0_0 = 0 & ~ (all_4_0_1 = 0) & ~ (all_4_5_6 = 0) & age(all_4_9_10, all_4_6_7) = all_4_3_4 & age(all_4_9_10, all_4_7_8) = all_4_4_5 & age(all_4_9_10, all_4_8_9) = zero & hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3 & hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2 & organization(all_4_9_10) = 0 & has_endowment(all_4_9_10) = all_4_5_6 & greater(all_4_2_3, all_4_1_2) = all_4_0_1 & greater(all_4_3_4, sigma) = 0 & smaller_or_equal(all_4_4_5, sigma) = 0
% 39.78/10.05 |
% 39.78/10.05 | Applying alpha-rule on (62) yields:
% 39.78/10.05 | (63) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3
% 39.78/10.05 | (64) smaller_or_equal(all_4_4_5, sigma) = 0
% 39.78/10.05 | (65) has_endowment(all_4_9_10) = all_4_5_6
% 39.78/10.05 | (66) hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2
% 39.78/10.05 | (67) ~ (all_4_0_1 = 0)
% 39.78/10.05 | (68) greater(all_4_3_4, sigma) = 0
% 39.78/10.05 | (69) age(all_4_9_10, all_4_8_9) = zero
% 39.78/10.05 | (70) all_1_0_0 = 0
% 39.78/10.05 | (71) greater(all_4_2_3, all_4_1_2) = all_4_0_1
% 39.78/10.05 | (72) ~ (all_4_5_6 = 0)
% 39.78/10.05 | (73) age(all_4_9_10, all_4_7_8) = all_4_4_5
% 39.78/10.05 | (74) organization(all_4_9_10) = 0
% 39.78/10.05 | (75) age(all_4_9_10, all_4_6_7) = all_4_3_4
% 39.78/10.05 |
% 39.78/10.05 | From (70) and (25) follows:
% 39.78/10.05 | (76) greater(sigma, zero) = 0
% 39.78/10.05 |
% 39.78/10.05 | Instantiating formula (22) with zero, all_4_8_9, all_4_8_9, all_4_9_10 and discharging atoms age(all_4_9_10, all_4_8_9) = zero, yields:
% 39.78/10.05 | (77) ? [v0] : ? [v1] : ? [v2] : (dissimilar(all_4_9_10, all_4_8_9, all_4_8_9) = v2 & organization(all_4_9_10) = v0 & greater(zero, sigma) = v1 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 39.78/10.05 |
% 39.78/10.05 | Instantiating formula (22) with all_4_3_4, all_4_6_7, all_4_8_9, all_4_9_10 and discharging atoms age(all_4_9_10, all_4_6_7) = all_4_3_4, age(all_4_9_10, all_4_8_9) = zero, yields:
% 39.78/10.05 | (78) ? [v0] : ? [v1] : ? [v2] : (dissimilar(all_4_9_10, all_4_8_9, all_4_6_7) = v2 & organization(all_4_9_10) = v0 & greater(all_4_3_4, sigma) = v1 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 39.78/10.05 |
% 39.78/10.05 | Instantiating formula (22) with all_4_4_5, all_4_7_8, all_4_8_9, all_4_9_10 and discharging atoms age(all_4_9_10, all_4_7_8) = all_4_4_5, age(all_4_9_10, all_4_8_9) = zero, yields:
% 39.78/10.05 | (79) ? [v0] : ? [v1] : ? [v2] : (dissimilar(all_4_9_10, all_4_8_9, all_4_7_8) = v2 & organization(all_4_9_10) = v0 & greater(all_4_4_5, sigma) = v1 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 39.78/10.05 |
% 39.78/10.05 | Instantiating formula (53) with all_4_8_9, all_4_9_10 and discharging atoms age(all_4_9_10, all_4_8_9) = zero, yields:
% 39.78/10.05 | (80) ? [v0] : ? [v1] : (is_aligned(all_4_9_10, all_4_8_9) = v1 & organization(all_4_9_10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 39.78/10.05 |
% 39.78/10.05 | Instantiating formula (20) with all_4_2_3, all_4_2_3, all_4_6_7, all_4_6_7, all_4_9_10 and discharging atoms hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3, yields:
% 39.78/10.05 | (81) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_6_7) = v4 & capability(all_4_9_10, all_4_6_7) = v3 & has_immunity(all_4_9_10, all_4_6_7) = v2 & has_immunity(all_4_9_10, all_4_6_7) = v1 & organization(all_4_9_10) = v0 & greater(v3, v4) = v5 & greater(all_4_2_3, all_4_2_3) = v6 & ( ~ (v5 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.78/10.06 |
% 39.78/10.06 | Instantiating formula (24) with all_4_2_3, all_4_2_3, all_4_6_7, all_4_6_7, all_4_9_10 and discharging atoms hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3, yields:
% 39.78/10.06 | (82) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (has_immunity(all_4_9_10, all_4_6_7) = v2 & has_immunity(all_4_9_10, all_4_6_7) = v1 & organization(all_4_9_10) = v0 & greater(all_4_2_3, all_4_2_3) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.78/10.06 |
% 39.78/10.06 | Instantiating formula (20) with all_4_1_2, all_4_2_3, all_4_7_8, all_4_6_7, all_4_9_10 and discharging atoms hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3, hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2, yields:
% 39.78/10.06 | (83) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_6_7) = v4 & capability(all_4_9_10, all_4_7_8) = v3 & has_immunity(all_4_9_10, all_4_6_7) = v1 & has_immunity(all_4_9_10, all_4_7_8) = v2 & organization(all_4_9_10) = v0 & greater(v3, v4) = v5 & greater(all_4_2_3, all_4_1_2) = v6 & ( ~ (v5 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.78/10.06 |
% 39.78/10.06 | Instantiating formula (20) with all_4_2_3, all_4_1_2, all_4_6_7, all_4_7_8, all_4_9_10 and discharging atoms hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3, hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2, yields:
% 39.78/10.06 | (84) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_6_7) = v3 & capability(all_4_9_10, all_4_7_8) = v4 & has_immunity(all_4_9_10, all_4_6_7) = v2 & has_immunity(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(v3, v4) = v5 & greater(all_4_1_2, all_4_2_3) = v6 & ( ~ (v5 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.78/10.06 |
% 39.78/10.06 | Instantiating formula (24) with all_4_2_3, all_4_1_2, all_4_7_8, all_4_6_7, all_4_9_10 and discharging atoms hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3, hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2, yields:
% 39.78/10.06 | (85) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (has_immunity(all_4_9_10, all_4_6_7) = v1 & has_immunity(all_4_9_10, all_4_7_8) = v2 & organization(all_4_9_10) = v0 & greater(all_4_1_2, all_4_2_3) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.78/10.06 |
% 39.78/10.06 | Instantiating formula (24) with all_4_1_2, all_4_2_3, all_4_6_7, all_4_7_8, all_4_9_10 and discharging atoms hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3, hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2, yields:
% 39.78/10.06 | (86) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (has_immunity(all_4_9_10, all_4_6_7) = v2 & has_immunity(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(all_4_2_3, all_4_1_2) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.78/10.06 |
% 39.78/10.06 | Instantiating formula (20) with all_4_1_2, all_4_1_2, all_4_7_8, all_4_7_8, all_4_9_10 and discharging atoms hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2, yields:
% 39.78/10.06 | (87) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_7_8) = v4 & capability(all_4_9_10, all_4_7_8) = v3 & has_immunity(all_4_9_10, all_4_7_8) = v2 & has_immunity(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(v3, v4) = v5 & greater(all_4_1_2, all_4_1_2) = v6 & ( ~ (v5 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.78/10.06 |
% 39.78/10.06 | Instantiating formula (24) with all_4_1_2, all_4_1_2, all_4_7_8, all_4_7_8, all_4_9_10 and discharging atoms hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2, yields:
% 39.78/10.06 | (88) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (has_immunity(all_4_9_10, all_4_7_8) = v2 & has_immunity(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(all_4_1_2, all_4_1_2) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.78/10.06 |
% 39.78/10.06 | Instantiating formula (30) with all_4_0_1, all_4_2_3, all_4_1_2 and discharging atoms greater(all_4_2_3, all_4_1_2) = all_4_0_1, yields:
% 39.78/10.06 | (89) all_4_0_1 = 0 | ? [v0] : ( ~ (v0 = 0) & smaller(all_4_1_2, all_4_2_3) = v0)
% 39.78/10.06 |
% 39.78/10.06 | Instantiating formula (15) with sigma, zero and discharging atoms greater(sigma, zero) = 0, yields:
% 39.78/10.06 | (90) ? [v0] : ( ~ (v0 = 0) & greater(zero, sigma) = v0)
% 39.78/10.06 |
% 39.78/10.06 | Instantiating formula (43) with sigma, all_4_4_5 and discharging atoms smaller_or_equal(all_4_4_5, sigma) = 0, yields:
% 39.78/10.06 | (91) all_4_4_5 = sigma | smaller(all_4_4_5, sigma) = 0
% 39.78/10.06 |
% 39.78/10.06 | Instantiating (88) with all_12_0_11, all_12_1_12, all_12_2_13, all_12_3_14 yields:
% 39.78/10.06 | (92) has_immunity(all_4_9_10, all_4_7_8) = all_12_1_12 & has_immunity(all_4_9_10, all_4_7_8) = all_12_2_13 & organization(all_4_9_10) = all_12_3_14 & greater(all_4_1_2, all_4_1_2) = all_12_0_11 & ( ~ (all_12_2_13 = 0) | ~ (all_12_3_14 = 0) | all_12_0_11 = 0 | all_12_1_12 = 0)
% 39.78/10.06 |
% 39.78/10.06 | Applying alpha-rule on (92) yields:
% 39.78/10.06 | (93) organization(all_4_9_10) = all_12_3_14
% 39.78/10.06 | (94) has_immunity(all_4_9_10, all_4_7_8) = all_12_1_12
% 39.78/10.06 | (95) ~ (all_12_2_13 = 0) | ~ (all_12_3_14 = 0) | all_12_0_11 = 0 | all_12_1_12 = 0
% 39.78/10.06 | (96) greater(all_4_1_2, all_4_1_2) = all_12_0_11
% 39.78/10.06 | (97) has_immunity(all_4_9_10, all_4_7_8) = all_12_2_13
% 39.78/10.06 |
% 39.78/10.06 | Instantiating (87) with all_14_0_15, all_14_1_16, all_14_2_17, all_14_3_18, all_14_4_19, all_14_5_20, all_14_6_21 yields:
% 39.78/10.06 | (98) capability(all_4_9_10, all_4_7_8) = all_14_2_17 & capability(all_4_9_10, all_4_7_8) = all_14_3_18 & has_immunity(all_4_9_10, all_4_7_8) = all_14_4_19 & has_immunity(all_4_9_10, all_4_7_8) = all_14_5_20 & organization(all_4_9_10) = all_14_6_21 & greater(all_14_3_18, all_14_2_17) = all_14_1_16 & greater(all_4_1_2, all_4_1_2) = all_14_0_15 & ( ~ (all_14_1_16 = 0) | ~ (all_14_6_21 = 0) | all_14_0_15 = 0 | all_14_4_19 = 0 | all_14_5_20 = 0)
% 39.78/10.06 |
% 39.78/10.06 | Applying alpha-rule on (98) yields:
% 39.78/10.06 | (99) organization(all_4_9_10) = all_14_6_21
% 39.78/10.06 | (100) has_immunity(all_4_9_10, all_4_7_8) = all_14_5_20
% 39.78/10.06 | (101) ~ (all_14_1_16 = 0) | ~ (all_14_6_21 = 0) | all_14_0_15 = 0 | all_14_4_19 = 0 | all_14_5_20 = 0
% 39.78/10.06 | (102) capability(all_4_9_10, all_4_7_8) = all_14_3_18
% 39.78/10.06 | (103) has_immunity(all_4_9_10, all_4_7_8) = all_14_4_19
% 39.78/10.06 | (104) greater(all_14_3_18, all_14_2_17) = all_14_1_16
% 39.78/10.06 | (105) greater(all_4_1_2, all_4_1_2) = all_14_0_15
% 39.78/10.06 | (106) capability(all_4_9_10, all_4_7_8) = all_14_2_17
% 39.78/10.06 |
% 39.78/10.06 | Instantiating (90) with all_16_0_22 yields:
% 39.78/10.06 | (107) ~ (all_16_0_22 = 0) & greater(zero, sigma) = all_16_0_22
% 39.78/10.06 |
% 39.78/10.06 | Applying alpha-rule on (107) yields:
% 39.78/10.06 | (108) ~ (all_16_0_22 = 0)
% 39.78/10.06 | (109) greater(zero, sigma) = all_16_0_22
% 39.78/10.06 |
% 39.78/10.06 | Instantiating (84) with all_18_0_23, all_18_1_24, all_18_2_25, all_18_3_26, all_18_4_27, all_18_5_28, all_18_6_29 yields:
% 39.78/10.06 | (110) capability(all_4_9_10, all_4_6_7) = all_18_3_26 & capability(all_4_9_10, all_4_7_8) = all_18_2_25 & has_immunity(all_4_9_10, all_4_6_7) = all_18_4_27 & has_immunity(all_4_9_10, all_4_7_8) = all_18_5_28 & organization(all_4_9_10) = all_18_6_29 & greater(all_18_3_26, all_18_2_25) = all_18_1_24 & greater(all_4_1_2, all_4_2_3) = all_18_0_23 & ( ~ (all_18_1_24 = 0) | ~ (all_18_6_29 = 0) | all_18_0_23 = 0 | all_18_4_27 = 0 | all_18_5_28 = 0)
% 39.78/10.06 |
% 39.78/10.06 | Applying alpha-rule on (110) yields:
% 39.78/10.06 | (111) has_immunity(all_4_9_10, all_4_7_8) = all_18_5_28
% 39.78/10.06 | (112) capability(all_4_9_10, all_4_7_8) = all_18_2_25
% 39.78/10.06 | (113) organization(all_4_9_10) = all_18_6_29
% 39.78/10.06 | (114) has_immunity(all_4_9_10, all_4_6_7) = all_18_4_27
% 39.78/10.06 | (115) ~ (all_18_1_24 = 0) | ~ (all_18_6_29 = 0) | all_18_0_23 = 0 | all_18_4_27 = 0 | all_18_5_28 = 0
% 39.78/10.06 | (116) greater(all_18_3_26, all_18_2_25) = all_18_1_24
% 39.78/10.06 | (117) capability(all_4_9_10, all_4_6_7) = all_18_3_26
% 39.78/10.06 | (118) greater(all_4_1_2, all_4_2_3) = all_18_0_23
% 39.78/10.06 |
% 39.78/10.06 | Instantiating (83) with all_20_0_30, all_20_1_31, all_20_2_32, all_20_3_33, all_20_4_34, all_20_5_35, all_20_6_36 yields:
% 39.78/10.06 | (119) capability(all_4_9_10, all_4_6_7) = all_20_2_32 & capability(all_4_9_10, all_4_7_8) = all_20_3_33 & has_immunity(all_4_9_10, all_4_6_7) = all_20_5_35 & has_immunity(all_4_9_10, all_4_7_8) = all_20_4_34 & organization(all_4_9_10) = all_20_6_36 & greater(all_20_3_33, all_20_2_32) = all_20_1_31 & greater(all_4_2_3, all_4_1_2) = all_20_0_30 & ( ~ (all_20_1_31 = 0) | ~ (all_20_6_36 = 0) | all_20_0_30 = 0 | all_20_4_34 = 0 | all_20_5_35 = 0)
% 39.78/10.06 |
% 39.78/10.06 | Applying alpha-rule on (119) yields:
% 39.78/10.06 | (120) capability(all_4_9_10, all_4_7_8) = all_20_3_33
% 39.78/10.06 | (121) ~ (all_20_1_31 = 0) | ~ (all_20_6_36 = 0) | all_20_0_30 = 0 | all_20_4_34 = 0 | all_20_5_35 = 0
% 39.78/10.06 | (122) has_immunity(all_4_9_10, all_4_6_7) = all_20_5_35
% 39.78/10.06 | (123) greater(all_4_2_3, all_4_1_2) = all_20_0_30
% 39.78/10.06 | (124) has_immunity(all_4_9_10, all_4_7_8) = all_20_4_34
% 39.78/10.06 | (125) greater(all_20_3_33, all_20_2_32) = all_20_1_31
% 39.78/10.06 | (126) capability(all_4_9_10, all_4_6_7) = all_20_2_32
% 39.78/10.06 | (127) organization(all_4_9_10) = all_20_6_36
% 39.78/10.06 |
% 39.78/10.06 | Instantiating (86) with all_22_0_37, all_22_1_38, all_22_2_39, all_22_3_40 yields:
% 39.78/10.06 | (128) has_immunity(all_4_9_10, all_4_6_7) = all_22_1_38 & has_immunity(all_4_9_10, all_4_7_8) = all_22_2_39 & organization(all_4_9_10) = all_22_3_40 & greater(all_4_2_3, all_4_1_2) = all_22_0_37 & ( ~ (all_22_2_39 = 0) | ~ (all_22_3_40 = 0) | all_22_0_37 = 0 | all_22_1_38 = 0)
% 39.78/10.07 |
% 39.78/10.07 | Applying alpha-rule on (128) yields:
% 39.78/10.07 | (129) organization(all_4_9_10) = all_22_3_40
% 39.78/10.07 | (130) greater(all_4_2_3, all_4_1_2) = all_22_0_37
% 39.78/10.07 | (131) ~ (all_22_2_39 = 0) | ~ (all_22_3_40 = 0) | all_22_0_37 = 0 | all_22_1_38 = 0
% 39.78/10.07 | (132) has_immunity(all_4_9_10, all_4_7_8) = all_22_2_39
% 39.78/10.07 | (133) has_immunity(all_4_9_10, all_4_6_7) = all_22_1_38
% 39.78/10.07 |
% 39.78/10.07 | Instantiating (85) with all_24_0_41, all_24_1_42, all_24_2_43, all_24_3_44 yields:
% 39.78/10.07 | (134) has_immunity(all_4_9_10, all_4_6_7) = all_24_2_43 & has_immunity(all_4_9_10, all_4_7_8) = all_24_1_42 & organization(all_4_9_10) = all_24_3_44 & greater(all_4_1_2, all_4_2_3) = all_24_0_41 & ( ~ (all_24_2_43 = 0) | ~ (all_24_3_44 = 0) | all_24_0_41 = 0 | all_24_1_42 = 0)
% 39.78/10.07 |
% 39.78/10.07 | Applying alpha-rule on (134) yields:
% 39.78/10.07 | (135) ~ (all_24_2_43 = 0) | ~ (all_24_3_44 = 0) | all_24_0_41 = 0 | all_24_1_42 = 0
% 39.78/10.07 | (136) greater(all_4_1_2, all_4_2_3) = all_24_0_41
% 39.78/10.07 | (137) organization(all_4_9_10) = all_24_3_44
% 39.78/10.07 | (138) has_immunity(all_4_9_10, all_4_6_7) = all_24_2_43
% 39.78/10.07 | (139) has_immunity(all_4_9_10, all_4_7_8) = all_24_1_42
% 39.78/10.07 |
% 39.78/10.07 | Instantiating (82) with all_26_0_45, all_26_1_46, all_26_2_47, all_26_3_48 yields:
% 39.78/10.07 | (140) has_immunity(all_4_9_10, all_4_6_7) = all_26_1_46 & has_immunity(all_4_9_10, all_4_6_7) = all_26_2_47 & organization(all_4_9_10) = all_26_3_48 & greater(all_4_2_3, all_4_2_3) = all_26_0_45 & ( ~ (all_26_2_47 = 0) | ~ (all_26_3_48 = 0) | all_26_0_45 = 0 | all_26_1_46 = 0)
% 39.78/10.07 |
% 39.78/10.07 | Applying alpha-rule on (140) yields:
% 39.78/10.07 | (141) has_immunity(all_4_9_10, all_4_6_7) = all_26_1_46
% 39.78/10.07 | (142) greater(all_4_2_3, all_4_2_3) = all_26_0_45
% 39.78/10.07 | (143) has_immunity(all_4_9_10, all_4_6_7) = all_26_2_47
% 39.78/10.07 | (144) organization(all_4_9_10) = all_26_3_48
% 39.78/10.07 | (145) ~ (all_26_2_47 = 0) | ~ (all_26_3_48 = 0) | all_26_0_45 = 0 | all_26_1_46 = 0
% 39.78/10.07 |
% 39.78/10.07 | Instantiating (81) with all_28_0_49, all_28_1_50, all_28_2_51, all_28_3_52, all_28_4_53, all_28_5_54, all_28_6_55 yields:
% 39.78/10.07 | (146) capability(all_4_9_10, all_4_6_7) = all_28_2_51 & capability(all_4_9_10, all_4_6_7) = all_28_3_52 & has_immunity(all_4_9_10, all_4_6_7) = all_28_4_53 & has_immunity(all_4_9_10, all_4_6_7) = all_28_5_54 & organization(all_4_9_10) = all_28_6_55 & greater(all_28_3_52, all_28_2_51) = all_28_1_50 & greater(all_4_2_3, all_4_2_3) = all_28_0_49 & ( ~ (all_28_1_50 = 0) | ~ (all_28_6_55 = 0) | all_28_0_49 = 0 | all_28_4_53 = 0 | all_28_5_54 = 0)
% 39.78/10.07 |
% 39.78/10.07 | Applying alpha-rule on (146) yields:
% 39.78/10.07 | (147) organization(all_4_9_10) = all_28_6_55
% 39.78/10.07 | (148) has_immunity(all_4_9_10, all_4_6_7) = all_28_5_54
% 39.78/10.07 | (149) capability(all_4_9_10, all_4_6_7) = all_28_2_51
% 39.78/10.07 | (150) ~ (all_28_1_50 = 0) | ~ (all_28_6_55 = 0) | all_28_0_49 = 0 | all_28_4_53 = 0 | all_28_5_54 = 0
% 39.78/10.07 | (151) capability(all_4_9_10, all_4_6_7) = all_28_3_52
% 39.78/10.07 | (152) has_immunity(all_4_9_10, all_4_6_7) = all_28_4_53
% 39.78/10.07 | (153) greater(all_28_3_52, all_28_2_51) = all_28_1_50
% 39.78/10.07 | (154) greater(all_4_2_3, all_4_2_3) = all_28_0_49
% 39.78/10.07 |
% 39.78/10.07 | Instantiating (80) with all_32_0_57, all_32_1_58 yields:
% 39.78/10.07 | (155) is_aligned(all_4_9_10, all_4_8_9) = all_32_0_57 & organization(all_4_9_10) = all_32_1_58 & ( ~ (all_32_1_58 = 0) | all_32_0_57 = 0)
% 39.78/10.07 |
% 39.78/10.07 | Applying alpha-rule on (155) yields:
% 39.78/10.07 | (156) is_aligned(all_4_9_10, all_4_8_9) = all_32_0_57
% 39.78/10.07 | (157) organization(all_4_9_10) = all_32_1_58
% 39.78/10.07 | (158) ~ (all_32_1_58 = 0) | all_32_0_57 = 0
% 39.78/10.07 |
% 39.78/10.07 | Instantiating (79) with all_34_0_59, all_34_1_60, all_34_2_61 yields:
% 39.78/10.07 | (159) dissimilar(all_4_9_10, all_4_8_9, all_4_7_8) = all_34_0_59 & organization(all_4_9_10) = all_34_2_61 & greater(all_4_4_5, sigma) = all_34_1_60 & ( ~ (all_34_2_61 = 0) | (( ~ (all_34_0_59 = 0) | all_34_1_60 = 0) & ( ~ (all_34_1_60 = 0) | all_34_0_59 = 0)))
% 39.78/10.07 |
% 39.78/10.07 | Applying alpha-rule on (159) yields:
% 39.78/10.07 | (160) dissimilar(all_4_9_10, all_4_8_9, all_4_7_8) = all_34_0_59
% 39.78/10.07 | (161) organization(all_4_9_10) = all_34_2_61
% 39.78/10.07 | (162) greater(all_4_4_5, sigma) = all_34_1_60
% 39.78/10.07 | (163) ~ (all_34_2_61 = 0) | (( ~ (all_34_0_59 = 0) | all_34_1_60 = 0) & ( ~ (all_34_1_60 = 0) | all_34_0_59 = 0))
% 39.78/10.07 |
% 39.78/10.07 | Instantiating (78) with all_36_0_62, all_36_1_63, all_36_2_64 yields:
% 39.78/10.07 | (164) dissimilar(all_4_9_10, all_4_8_9, all_4_6_7) = all_36_0_62 & organization(all_4_9_10) = all_36_2_64 & greater(all_4_3_4, sigma) = all_36_1_63 & ( ~ (all_36_2_64 = 0) | (( ~ (all_36_0_62 = 0) | all_36_1_63 = 0) & ( ~ (all_36_1_63 = 0) | all_36_0_62 = 0)))
% 39.78/10.07 |
% 39.78/10.07 | Applying alpha-rule on (164) yields:
% 39.78/10.07 | (165) dissimilar(all_4_9_10, all_4_8_9, all_4_6_7) = all_36_0_62
% 39.78/10.07 | (166) organization(all_4_9_10) = all_36_2_64
% 39.78/10.07 | (167) greater(all_4_3_4, sigma) = all_36_1_63
% 39.78/10.07 | (168) ~ (all_36_2_64 = 0) | (( ~ (all_36_0_62 = 0) | all_36_1_63 = 0) & ( ~ (all_36_1_63 = 0) | all_36_0_62 = 0))
% 39.78/10.07 |
% 39.78/10.07 | Instantiating (77) with all_38_0_65, all_38_1_66, all_38_2_67 yields:
% 39.78/10.07 | (169) dissimilar(all_4_9_10, all_4_8_9, all_4_8_9) = all_38_0_65 & organization(all_4_9_10) = all_38_2_67 & greater(zero, sigma) = all_38_1_66 & ( ~ (all_38_2_67 = 0) | (( ~ (all_38_0_65 = 0) | all_38_1_66 = 0) & ( ~ (all_38_1_66 = 0) | all_38_0_65 = 0)))
% 39.78/10.07 |
% 39.78/10.07 | Applying alpha-rule on (169) yields:
% 39.78/10.07 | (170) dissimilar(all_4_9_10, all_4_8_9, all_4_8_9) = all_38_0_65
% 39.78/10.07 | (171) organization(all_4_9_10) = all_38_2_67
% 39.78/10.07 | (172) greater(zero, sigma) = all_38_1_66
% 39.78/10.07 | (173) ~ (all_38_2_67 = 0) | (( ~ (all_38_0_65 = 0) | all_38_1_66 = 0) & ( ~ (all_38_1_66 = 0) | all_38_0_65 = 0))
% 39.78/10.07 |
% 39.78/10.07 +-Applying beta-rule and splitting (89), into two cases.
% 39.78/10.07 |-Branch one:
% 39.78/10.07 | (174) all_4_0_1 = 0
% 39.78/10.07 |
% 39.78/10.07 | Equations (174) can reduce 67 to:
% 39.78/10.07 | (175) $false
% 39.78/10.07 |
% 39.78/10.07 |-The branch is then unsatisfiable
% 39.78/10.07 |-Branch two:
% 39.78/10.07 | (67) ~ (all_4_0_1 = 0)
% 39.78/10.07 | (177) ? [v0] : ( ~ (v0 = 0) & smaller(all_4_1_2, all_4_2_3) = v0)
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (5) with all_4_9_10, all_4_6_7, all_28_3_52, all_28_2_51 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_28_2_51, capability(all_4_9_10, all_4_6_7) = all_28_3_52, yields:
% 39.78/10.07 | (178) all_28_2_51 = all_28_3_52
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (5) with all_4_9_10, all_4_6_7, all_20_2_32, all_28_3_52 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_28_3_52, capability(all_4_9_10, all_4_6_7) = all_20_2_32, yields:
% 39.78/10.07 | (179) all_28_3_52 = all_20_2_32
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (5) with all_4_9_10, all_4_6_7, all_18_3_26, all_28_2_51 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_28_2_51, capability(all_4_9_10, all_4_6_7) = all_18_3_26, yields:
% 39.78/10.07 | (180) all_28_2_51 = all_18_3_26
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (5) with all_4_9_10, all_4_7_8, all_18_2_25, all_20_3_33 and discharging atoms capability(all_4_9_10, all_4_7_8) = all_20_3_33, capability(all_4_9_10, all_4_7_8) = all_18_2_25, yields:
% 39.78/10.07 | (181) all_20_3_33 = all_18_2_25
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (5) with all_4_9_10, all_4_7_8, all_14_2_17, all_18_2_25 and discharging atoms capability(all_4_9_10, all_4_7_8) = all_18_2_25, capability(all_4_9_10, all_4_7_8) = all_14_2_17, yields:
% 39.78/10.07 | (182) all_18_2_25 = all_14_2_17
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (5) with all_4_9_10, all_4_7_8, all_14_3_18, all_20_3_33 and discharging atoms capability(all_4_9_10, all_4_7_8) = all_20_3_33, capability(all_4_9_10, all_4_7_8) = all_14_3_18, yields:
% 39.78/10.07 | (183) all_20_3_33 = all_14_3_18
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_26_1_46, all_28_4_53 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_28_4_53, has_immunity(all_4_9_10, all_4_6_7) = all_26_1_46, yields:
% 39.78/10.07 | (184) all_28_4_53 = all_26_1_46
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_26_1_46, all_28_5_54 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_28_5_54, has_immunity(all_4_9_10, all_4_6_7) = all_26_1_46, yields:
% 39.78/10.07 | (185) all_28_5_54 = all_26_1_46
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_26_2_47, all_26_1_46 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_26_1_46, has_immunity(all_4_9_10, all_4_6_7) = all_26_2_47, yields:
% 39.78/10.07 | (186) all_26_1_46 = all_26_2_47
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_24_2_43, all_26_2_47 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_26_2_47, has_immunity(all_4_9_10, all_4_6_7) = all_24_2_43, yields:
% 39.78/10.07 | (187) all_26_2_47 = all_24_2_43
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_22_1_38, all_28_4_53 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_28_4_53, has_immunity(all_4_9_10, all_4_6_7) = all_22_1_38, yields:
% 39.78/10.07 | (188) all_28_4_53 = all_22_1_38
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_20_5_35, all_28_5_54 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_28_5_54, has_immunity(all_4_9_10, all_4_6_7) = all_20_5_35, yields:
% 39.78/10.07 | (189) all_28_5_54 = all_20_5_35
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_18_4_27, all_26_2_47 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_26_2_47, has_immunity(all_4_9_10, all_4_6_7) = all_18_4_27, yields:
% 39.78/10.07 | (190) all_26_2_47 = all_18_4_27
% 39.78/10.07 |
% 39.78/10.07 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_22_2_39, all_24_1_42 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_24_1_42, has_immunity(all_4_9_10, all_4_7_8) = all_22_2_39, yields:
% 39.78/10.08 | (191) all_24_1_42 = all_22_2_39
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_20_4_34, all_24_1_42 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_24_1_42, has_immunity(all_4_9_10, all_4_7_8) = all_20_4_34, yields:
% 39.78/10.08 | (192) all_24_1_42 = all_20_4_34
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_14_4_19, all_18_5_28 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_18_5_28, has_immunity(all_4_9_10, all_4_7_8) = all_14_4_19, yields:
% 39.78/10.08 | (193) all_18_5_28 = all_14_4_19
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_14_5_20, all_24_1_42 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_24_1_42, has_immunity(all_4_9_10, all_4_7_8) = all_14_5_20, yields:
% 39.78/10.08 | (194) all_24_1_42 = all_14_5_20
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_14_5_20, all_18_5_28 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_18_5_28, has_immunity(all_4_9_10, all_4_7_8) = all_14_5_20, yields:
% 39.78/10.08 | (195) all_18_5_28 = all_14_5_20
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_12_1_12, all_24_1_42 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_24_1_42, has_immunity(all_4_9_10, all_4_7_8) = all_12_1_12, yields:
% 39.78/10.08 | (196) all_24_1_42 = all_12_1_12
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_12_2_13, all_18_5_28 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_18_5_28, has_immunity(all_4_9_10, all_4_7_8) = all_12_2_13, yields:
% 39.78/10.08 | (197) all_18_5_28 = all_12_2_13
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_36_2_64, all_38_2_67 and discharging atoms organization(all_4_9_10) = all_38_2_67, organization(all_4_9_10) = all_36_2_64, yields:
% 39.78/10.08 | (198) all_38_2_67 = all_36_2_64
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_32_1_58, all_36_2_64 and discharging atoms organization(all_4_9_10) = all_36_2_64, organization(all_4_9_10) = all_32_1_58, yields:
% 39.78/10.08 | (199) all_36_2_64 = all_32_1_58
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_32_1_58, all_34_2_61 and discharging atoms organization(all_4_9_10) = all_34_2_61, organization(all_4_9_10) = all_32_1_58, yields:
% 39.78/10.08 | (200) all_34_2_61 = all_32_1_58
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_28_6_55, all_32_1_58 and discharging atoms organization(all_4_9_10) = all_32_1_58, organization(all_4_9_10) = all_28_6_55, yields:
% 39.78/10.08 | (201) all_32_1_58 = all_28_6_55
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_26_3_48, all_36_2_64 and discharging atoms organization(all_4_9_10) = all_36_2_64, organization(all_4_9_10) = all_26_3_48, yields:
% 39.78/10.08 | (202) all_36_2_64 = all_26_3_48
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_24_3_44, 0 and discharging atoms organization(all_4_9_10) = all_24_3_44, organization(all_4_9_10) = 0, yields:
% 39.78/10.08 | (203) all_24_3_44 = 0
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_22_3_40, all_32_1_58 and discharging atoms organization(all_4_9_10) = all_32_1_58, organization(all_4_9_10) = all_22_3_40, yields:
% 39.78/10.08 | (204) all_32_1_58 = all_22_3_40
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_20_6_36, all_34_2_61 and discharging atoms organization(all_4_9_10) = all_34_2_61, organization(all_4_9_10) = all_20_6_36, yields:
% 39.78/10.08 | (205) all_34_2_61 = all_20_6_36
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_20_6_36, all_24_3_44 and discharging atoms organization(all_4_9_10) = all_24_3_44, organization(all_4_9_10) = all_20_6_36, yields:
% 39.78/10.08 | (206) all_24_3_44 = all_20_6_36
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_18_6_29, all_34_2_61 and discharging atoms organization(all_4_9_10) = all_34_2_61, organization(all_4_9_10) = all_18_6_29, yields:
% 39.78/10.08 | (207) all_34_2_61 = all_18_6_29
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (10) with all_4_9_10, all_14_6_21, all_38_2_67 and discharging atoms organization(all_4_9_10) = all_38_2_67, organization(all_4_9_10) = all_14_6_21, yields:
% 39.78/10.08 | (208) all_38_2_67 = all_14_6_21
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (1) with all_4_2_3, all_4_1_2, all_22_0_37, all_4_0_1 and discharging atoms greater(all_4_2_3, all_4_1_2) = all_22_0_37, greater(all_4_2_3, all_4_1_2) = all_4_0_1, yields:
% 39.78/10.08 | (209) all_22_0_37 = all_4_0_1
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (1) with all_4_2_3, all_4_1_2, all_20_0_30, all_22_0_37 and discharging atoms greater(all_4_2_3, all_4_1_2) = all_22_0_37, greater(all_4_2_3, all_4_1_2) = all_20_0_30, yields:
% 39.78/10.08 | (210) all_22_0_37 = all_20_0_30
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (1) with all_4_3_4, sigma, all_36_1_63, 0 and discharging atoms greater(all_4_3_4, sigma) = all_36_1_63, greater(all_4_3_4, sigma) = 0, yields:
% 39.78/10.08 | (211) all_36_1_63 = 0
% 39.78/10.08 |
% 39.78/10.08 | Instantiating formula (1) with zero, sigma, all_16_0_22, all_38_1_66 and discharging atoms greater(zero, sigma) = all_38_1_66, greater(zero, sigma) = all_16_0_22, yields:
% 39.97/10.08 | (212) all_38_1_66 = all_16_0_22
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (198,208) yields a new equation:
% 39.97/10.08 | (213) all_36_2_64 = all_14_6_21
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 213 yields:
% 39.97/10.08 | (214) all_36_2_64 = all_14_6_21
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (199,202) yields a new equation:
% 39.97/10.08 | (215) all_32_1_58 = all_26_3_48
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 215 yields:
% 39.97/10.08 | (216) all_32_1_58 = all_26_3_48
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (214,202) yields a new equation:
% 39.97/10.08 | (217) all_26_3_48 = all_14_6_21
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (200,207) yields a new equation:
% 39.97/10.08 | (218) all_32_1_58 = all_18_6_29
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 218 yields:
% 39.97/10.08 | (219) all_32_1_58 = all_18_6_29
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (205,207) yields a new equation:
% 39.97/10.08 | (220) all_20_6_36 = all_18_6_29
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 220 yields:
% 39.97/10.08 | (221) all_20_6_36 = all_18_6_29
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (219,201) yields a new equation:
% 39.97/10.08 | (222) all_28_6_55 = all_18_6_29
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (204,201) yields a new equation:
% 39.97/10.08 | (223) all_28_6_55 = all_22_3_40
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (216,201) yields a new equation:
% 39.97/10.08 | (224) all_28_6_55 = all_26_3_48
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (178,180) yields a new equation:
% 39.97/10.08 | (225) all_28_3_52 = all_18_3_26
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 225 yields:
% 39.97/10.08 | (226) all_28_3_52 = all_18_3_26
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (226,179) yields a new equation:
% 39.97/10.08 | (227) all_20_2_32 = all_18_3_26
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (184,188) yields a new equation:
% 39.97/10.08 | (228) all_26_1_46 = all_22_1_38
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 228 yields:
% 39.97/10.08 | (229) all_26_1_46 = all_22_1_38
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (185,189) yields a new equation:
% 39.97/10.08 | (230) all_26_1_46 = all_20_5_35
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 230 yields:
% 39.97/10.08 | (231) all_26_1_46 = all_20_5_35
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (222,223) yields a new equation:
% 39.97/10.08 | (232) all_22_3_40 = all_18_6_29
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (224,223) yields a new equation:
% 39.97/10.08 | (233) all_26_3_48 = all_22_3_40
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 233 yields:
% 39.97/10.08 | (234) all_26_3_48 = all_22_3_40
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (186,229) yields a new equation:
% 39.97/10.08 | (235) all_26_2_47 = all_22_1_38
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 235 yields:
% 39.97/10.08 | (236) all_26_2_47 = all_22_1_38
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (231,229) yields a new equation:
% 39.97/10.08 | (237) all_22_1_38 = all_20_5_35
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (190,187) yields a new equation:
% 39.97/10.08 | (238) all_24_2_43 = all_18_4_27
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (236,187) yields a new equation:
% 39.97/10.08 | (239) all_24_2_43 = all_22_1_38
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (234,217) yields a new equation:
% 39.97/10.08 | (240) all_22_3_40 = all_14_6_21
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 240 yields:
% 39.97/10.08 | (241) all_22_3_40 = all_14_6_21
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (194,191) yields a new equation:
% 39.97/10.08 | (242) all_22_2_39 = all_14_5_20
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (192,191) yields a new equation:
% 39.97/10.08 | (243) all_22_2_39 = all_20_4_34
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (196,191) yields a new equation:
% 39.97/10.08 | (244) all_22_2_39 = all_12_1_12
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (239,238) yields a new equation:
% 39.97/10.08 | (245) all_22_1_38 = all_18_4_27
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 245 yields:
% 39.97/10.08 | (246) all_22_1_38 = all_18_4_27
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (206,203) yields a new equation:
% 39.97/10.08 | (247) all_20_6_36 = 0
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 247 yields:
% 39.97/10.08 | (248) all_20_6_36 = 0
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (209,210) yields a new equation:
% 39.97/10.08 | (249) all_20_0_30 = all_4_0_1
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (246,237) yields a new equation:
% 39.97/10.08 | (250) all_20_5_35 = all_18_4_27
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (242,243) yields a new equation:
% 39.97/10.08 | (251) all_20_4_34 = all_14_5_20
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (244,243) yields a new equation:
% 39.97/10.08 | (252) all_20_4_34 = all_12_1_12
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (232,241) yields a new equation:
% 39.97/10.08 | (253) all_18_6_29 = all_14_6_21
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 253 yields:
% 39.97/10.08 | (254) all_18_6_29 = all_14_6_21
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (181,183) yields a new equation:
% 39.97/10.08 | (255) all_18_2_25 = all_14_3_18
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 255 yields:
% 39.97/10.08 | (256) all_18_2_25 = all_14_3_18
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (251,252) yields a new equation:
% 39.97/10.08 | (257) all_14_5_20 = all_12_1_12
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 257 yields:
% 39.97/10.08 | (258) all_14_5_20 = all_12_1_12
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (221,248) yields a new equation:
% 39.97/10.08 | (259) all_18_6_29 = 0
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 259 yields:
% 39.97/10.08 | (260) all_18_6_29 = 0
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (256,182) yields a new equation:
% 39.97/10.08 | (261) all_14_2_17 = all_14_3_18
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (195,193) yields a new equation:
% 39.97/10.08 | (262) all_14_4_19 = all_14_5_20
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (197,193) yields a new equation:
% 39.97/10.08 | (263) all_14_4_19 = all_12_2_13
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (260,254) yields a new equation:
% 39.97/10.08 | (264) all_14_6_21 = 0
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (262,263) yields a new equation:
% 39.97/10.08 | (265) all_14_5_20 = all_12_2_13
% 39.97/10.08 |
% 39.97/10.08 | Simplifying 265 yields:
% 39.97/10.08 | (266) all_14_5_20 = all_12_2_13
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (266,258) yields a new equation:
% 39.97/10.08 | (267) all_12_1_12 = all_12_2_13
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (264,254) yields a new equation:
% 39.97/10.08 | (260) all_18_6_29 = 0
% 39.97/10.08 |
% 39.97/10.08 | Combining equations (267,252) yields a new equation:
% 39.97/10.08 | (269) all_20_4_34 = all_12_2_13
% 39.97/10.08 |
% 39.97/10.09 | Combining equations (264,241) yields a new equation:
% 39.97/10.09 | (270) all_22_3_40 = 0
% 39.97/10.09 |
% 39.97/10.09 | Combining equations (264,217) yields a new equation:
% 39.97/10.09 | (271) all_26_3_48 = 0
% 39.97/10.09 |
% 39.97/10.09 | Combining equations (270,223) yields a new equation:
% 39.97/10.09 | (272) all_28_6_55 = 0
% 39.97/10.09 |
% 39.97/10.09 | Combining equations (272,201) yields a new equation:
% 39.97/10.09 | (273) all_32_1_58 = 0
% 39.97/10.09 |
% 39.97/10.09 | Combining equations (260,207) yields a new equation:
% 39.97/10.09 | (274) all_34_2_61 = 0
% 39.97/10.09 |
% 39.97/10.09 | Combining equations (271,202) yields a new equation:
% 39.97/10.09 | (275) all_36_2_64 = 0
% 39.97/10.09 |
% 39.97/10.09 | From (227) and (126) follows:
% 39.97/10.09 | (117) capability(all_4_9_10, all_4_6_7) = all_18_3_26
% 39.97/10.09 |
% 39.97/10.09 | From (261) and (106) follows:
% 39.97/10.09 | (102) capability(all_4_9_10, all_4_7_8) = all_14_3_18
% 39.97/10.09 |
% 39.97/10.09 | From (250) and (122) follows:
% 39.97/10.09 | (114) has_immunity(all_4_9_10, all_4_6_7) = all_18_4_27
% 39.97/10.09 |
% 39.97/10.09 | From (267) and (94) follows:
% 39.97/10.09 | (97) has_immunity(all_4_9_10, all_4_7_8) = all_12_2_13
% 39.97/10.09 |
% 39.97/10.09 | From (183)(227) and (125) follows:
% 39.97/10.09 | (280) greater(all_14_3_18, all_18_3_26) = all_20_1_31
% 39.97/10.09 |
% 39.97/10.09 | From (212) and (172) follows:
% 39.97/10.09 | (109) greater(zero, sigma) = all_16_0_22
% 39.97/10.09 |
% 39.97/10.09 +-Applying beta-rule and splitting (168), into two cases.
% 39.97/10.09 |-Branch one:
% 39.97/10.09 | (282) ~ (all_36_2_64 = 0)
% 39.97/10.09 |
% 39.97/10.09 | Equations (275) can reduce 282 to:
% 39.97/10.09 | (175) $false
% 39.97/10.09 |
% 39.97/10.09 |-The branch is then unsatisfiable
% 39.97/10.09 |-Branch two:
% 39.97/10.09 | (275) all_36_2_64 = 0
% 39.97/10.09 | (285) ( ~ (all_36_0_62 = 0) | all_36_1_63 = 0) & ( ~ (all_36_1_63 = 0) | all_36_0_62 = 0)
% 39.97/10.09 |
% 39.97/10.09 | Applying alpha-rule on (285) yields:
% 39.97/10.09 | (286) ~ (all_36_0_62 = 0) | all_36_1_63 = 0
% 39.97/10.09 | (287) ~ (all_36_1_63 = 0) | all_36_0_62 = 0
% 39.97/10.09 |
% 39.97/10.09 +-Applying beta-rule and splitting (158), into two cases.
% 39.97/10.09 |-Branch one:
% 39.97/10.09 | (288) ~ (all_32_1_58 = 0)
% 39.97/10.09 |
% 39.97/10.09 | Equations (273) can reduce 288 to:
% 39.97/10.09 | (175) $false
% 39.97/10.09 |
% 39.97/10.09 |-The branch is then unsatisfiable
% 39.97/10.09 |-Branch two:
% 39.97/10.09 | (273) all_32_1_58 = 0
% 39.97/10.09 | (291) all_32_0_57 = 0
% 39.97/10.09 |
% 39.97/10.09 | From (291) and (156) follows:
% 39.97/10.09 | (292) is_aligned(all_4_9_10, all_4_8_9) = 0
% 39.97/10.09 |
% 39.97/10.09 +-Applying beta-rule and splitting (287), into two cases.
% 39.97/10.09 |-Branch one:
% 39.97/10.09 | (293) ~ (all_36_1_63 = 0)
% 39.97/10.09 |
% 39.97/10.09 | Equations (211) can reduce 293 to:
% 39.97/10.09 | (175) $false
% 39.97/10.09 |
% 39.97/10.09 |-The branch is then unsatisfiable
% 39.97/10.09 |-Branch two:
% 39.97/10.09 | (211) all_36_1_63 = 0
% 39.97/10.09 | (296) all_36_0_62 = 0
% 39.97/10.09 |
% 39.97/10.09 | From (296) and (165) follows:
% 39.97/10.09 | (297) dissimilar(all_4_9_10, all_4_8_9, all_4_6_7) = 0
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (36) with all_18_3_26, all_18_3_26, all_4_6_7, all_4_6_7, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, yields:
% 39.97/10.09 | (298) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (is_aligned(all_4_9_10, all_4_6_7) = v2 & is_aligned(all_4_9_10, all_4_6_7) = v1 & organization(all_4_9_10) = v0 & greater(all_18_3_26, all_18_3_26) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (26) with all_18_3_26, all_18_3_26, all_4_6_7, all_4_6_7, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, yields:
% 39.97/10.09 | (299) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (hazard_of_mortality(all_4_9_10, all_4_6_7) = v5 & hazard_of_mortality(all_4_9_10, all_4_6_7) = v4 & has_immunity(all_4_9_10, all_4_6_7) = v2 & has_immunity(all_4_9_10, all_4_6_7) = v1 & organization(all_4_9_10) = v0 & greater(v4, v5) = v6 & greater(all_18_3_26, all_18_3_26) = v3 & ( ~ (v3 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (55) with all_4_2_3, all_18_3_26, all_4_6_7, all_4_6_7, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3, yields:
% 39.97/10.09 | (300) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_6_7) = v3 & hazard_of_mortality(all_4_9_10, all_4_6_7) = v5 & has_immunity(all_4_9_10, all_4_6_7) = v2 & has_immunity(all_4_9_10, all_4_6_7) = v1 & organization(all_4_9_10) = v0 & greater(all_18_3_26, v3) = v4 & greater(all_4_2_3, v5) = v6 & ( ~ (v4 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (51) with all_4_2_3, all_18_3_26, all_4_6_7, all_4_6_7, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3, yields:
% 39.97/10.09 | (301) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_6_7) = v3 & hazard_of_mortality(all_4_9_10, all_4_6_7) = v5 & has_immunity(all_4_9_10, all_4_6_7) = v2 & has_immunity(all_4_9_10, all_4_6_7) = v1 & organization(all_4_9_10) = v0 & greater(v5, all_4_2_3) = v6 & greater(v3, all_18_3_26) = v4 & ( ~ (v4 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (55) with all_4_1_2, all_18_3_26, all_4_6_7, all_4_7_8, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2, yields:
% 39.97/10.09 | (302) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_7_8) = v3 & hazard_of_mortality(all_4_9_10, all_4_6_7) = v5 & has_immunity(all_4_9_10, all_4_6_7) = v2 & has_immunity(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(all_18_3_26, v3) = v4 & greater(all_4_1_2, v5) = v6 & ( ~ (v4 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (51) with all_4_1_2, all_18_3_26, all_4_7_8, all_4_6_7, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2, yields:
% 39.97/10.09 | (303) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_7_8) = v3 & hazard_of_mortality(all_4_9_10, all_4_6_7) = v5 & has_immunity(all_4_9_10, all_4_6_7) = v1 & has_immunity(all_4_9_10, all_4_7_8) = v2 & organization(all_4_9_10) = v0 & greater(v5, all_4_1_2) = v6 & greater(v3, all_18_3_26) = v4 & ( ~ (v4 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (36) with all_14_3_18, all_18_3_26, all_4_7_8, all_4_6_7, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, capability(all_4_9_10, all_4_7_8) = all_14_3_18, yields:
% 39.97/10.09 | (304) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (is_aligned(all_4_9_10, all_4_6_7) = v1 & is_aligned(all_4_9_10, all_4_7_8) = v2 & organization(all_4_9_10) = v0 & greater(all_18_3_26, all_14_3_18) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (36) with all_18_3_26, all_14_3_18, all_4_6_7, all_4_7_8, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, capability(all_4_9_10, all_4_7_8) = all_14_3_18, yields:
% 39.97/10.09 | (305) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (is_aligned(all_4_9_10, all_4_6_7) = v2 & is_aligned(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(all_14_3_18, all_18_3_26) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (26) with all_18_3_26, all_14_3_18, all_4_7_8, all_4_6_7, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, capability(all_4_9_10, all_4_7_8) = all_14_3_18, yields:
% 39.97/10.09 | (306) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (hazard_of_mortality(all_4_9_10, all_4_6_7) = v4 & hazard_of_mortality(all_4_9_10, all_4_7_8) = v5 & has_immunity(all_4_9_10, all_4_6_7) = v1 & has_immunity(all_4_9_10, all_4_7_8) = v2 & organization(all_4_9_10) = v0 & greater(v4, v5) = v6 & greater(all_14_3_18, all_18_3_26) = v3 & ( ~ (v3 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (26) with all_14_3_18, all_18_3_26, all_4_6_7, all_4_7_8, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, capability(all_4_9_10, all_4_7_8) = all_14_3_18, yields:
% 39.97/10.09 | (307) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (hazard_of_mortality(all_4_9_10, all_4_6_7) = v5 & hazard_of_mortality(all_4_9_10, all_4_7_8) = v4 & has_immunity(all_4_9_10, all_4_6_7) = v2 & has_immunity(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(v4, v5) = v6 & greater(all_18_3_26, all_14_3_18) = v3 & ( ~ (v3 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (36) with all_14_3_18, all_14_3_18, all_4_7_8, all_4_7_8, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_7_8) = all_14_3_18, yields:
% 39.97/10.09 | (308) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (is_aligned(all_4_9_10, all_4_7_8) = v2 & is_aligned(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(all_14_3_18, all_14_3_18) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (26) with all_14_3_18, all_14_3_18, all_4_7_8, all_4_7_8, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_7_8) = all_14_3_18, yields:
% 39.97/10.09 | (309) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (hazard_of_mortality(all_4_9_10, all_4_7_8) = v5 & hazard_of_mortality(all_4_9_10, all_4_7_8) = v4 & has_immunity(all_4_9_10, all_4_7_8) = v2 & has_immunity(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(v4, v5) = v6 & greater(all_14_3_18, all_14_3_18) = v3 & ( ~ (v3 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (55) with all_4_2_3, all_14_3_18, all_4_7_8, all_4_6_7, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_7_8) = all_14_3_18, hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3, yields:
% 39.97/10.09 | (310) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_6_7) = v3 & hazard_of_mortality(all_4_9_10, all_4_7_8) = v5 & has_immunity(all_4_9_10, all_4_6_7) = v1 & has_immunity(all_4_9_10, all_4_7_8) = v2 & organization(all_4_9_10) = v0 & greater(all_14_3_18, v3) = v4 & greater(all_4_2_3, v5) = v6 & ( ~ (v4 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (51) with all_4_2_3, all_14_3_18, all_4_6_7, all_4_7_8, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_7_8) = all_14_3_18, hazard_of_mortality(all_4_9_10, all_4_6_7) = all_4_2_3, yields:
% 39.97/10.09 | (311) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_6_7) = v3 & hazard_of_mortality(all_4_9_10, all_4_7_8) = v5 & has_immunity(all_4_9_10, all_4_6_7) = v2 & has_immunity(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(v5, all_4_2_3) = v6 & greater(v3, all_14_3_18) = v4 & ( ~ (v4 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.09 |
% 39.97/10.09 | Instantiating formula (55) with all_4_1_2, all_14_3_18, all_4_7_8, all_4_7_8, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_7_8) = all_14_3_18, hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2, yields:
% 39.97/10.10 | (312) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_7_8) = v3 & hazard_of_mortality(all_4_9_10, all_4_7_8) = v5 & has_immunity(all_4_9_10, all_4_7_8) = v2 & has_immunity(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(all_14_3_18, v3) = v4 & greater(all_4_1_2, v5) = v6 & ( ~ (v4 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (51) with all_4_1_2, all_14_3_18, all_4_7_8, all_4_7_8, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_7_8) = all_14_3_18, hazard_of_mortality(all_4_9_10, all_4_7_8) = all_4_1_2, yields:
% 39.97/10.10 | (313) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (capability(all_4_9_10, all_4_7_8) = v3 & hazard_of_mortality(all_4_9_10, all_4_7_8) = v5 & has_immunity(all_4_9_10, all_4_7_8) = v2 & has_immunity(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(v5, all_4_1_2) = v6 & greater(v3, all_14_3_18) = v4 & ( ~ (v4 = 0) | ~ (v0 = 0) | v6 = 0 | v2 = 0 | v1 = 0))
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (48) with all_18_3_26, all_4_6_7, all_4_8_9, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_6_7) = all_18_3_26, is_aligned(all_4_9_10, all_4_8_9) = 0, yields:
% 39.97/10.10 | (314) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (capability(all_4_9_10, all_4_8_9) = v2 & is_aligned(all_4_9_10, all_4_6_7) = v1 & organization(all_4_9_10) = v0 & greater(v2, all_18_3_26) = v3 & ( ~ (v0 = 0) | v3 = 0 | v1 = 0))
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (48) with all_14_3_18, all_4_7_8, all_4_8_9, all_4_9_10 and discharging atoms capability(all_4_9_10, all_4_7_8) = all_14_3_18, is_aligned(all_4_9_10, all_4_8_9) = 0, yields:
% 39.97/10.10 | (315) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (capability(all_4_9_10, all_4_8_9) = v2 & is_aligned(all_4_9_10, all_4_7_8) = v1 & organization(all_4_9_10) = v0 & greater(v2, all_14_3_18) = v3 & ( ~ (v0 = 0) | v3 = 0 | v1 = 0))
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (50) with all_4_6_7, all_4_8_9, all_4_9_10 and discharging atoms dissimilar(all_4_9_10, all_4_8_9, all_4_6_7) = 0, yields:
% 39.97/10.10 | (316) ? [v0] : ? [v1] : (is_aligned(all_4_9_10, all_4_6_7) = v1 & is_aligned(all_4_9_10, all_4_8_9) = v0 & organization(all_4_9_10) = 0 & ( ~ (v1 = 0) | ~ (v0 = 0)) & (v1 = 0 | v0 = 0))
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (58) with all_34_0_59, all_4_7_8, all_4_8_9, all_4_9_10 and discharging atoms dissimilar(all_4_9_10, all_4_8_9, all_4_7_8) = all_34_0_59, yields:
% 39.97/10.10 | (317) all_34_0_59 = 0 | ? [v0] : ? [v1] : ? [v2] : (is_aligned(all_4_9_10, all_4_7_8) = v2 & is_aligned(all_4_9_10, all_4_8_9) = v1 & organization(all_4_9_10) = v0 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (46) with all_34_0_59, all_4_7_8, all_4_8_9, all_4_9_10 and discharging atoms dissimilar(all_4_9_10, all_4_8_9, all_4_7_8) = all_34_0_59, yields:
% 39.97/10.10 | (318) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (age(all_4_9_10, all_4_7_8) = v2 & age(all_4_9_10, all_4_8_9) = v1 & organization(all_4_9_10) = v0 & greater(v2, sigma) = v3 & ( ~ (v1 = zero) | ~ (v0 = 0) | (( ~ (v3 = 0) | all_34_0_59 = 0) & ( ~ (all_34_0_59 = 0) | v3 = 0))))
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (41) with all_4_6_7, all_4_9_10 yields:
% 39.97/10.10 | (319) ~ (has_immunity(all_4_9_10, all_4_6_7) = 0) | ? [v0] : ? [v1] : (organization(all_4_9_10) = v0 & has_endowment(all_4_9_10) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (41) with all_4_7_8, all_4_9_10 yields:
% 39.97/10.10 | (320) ~ (has_immunity(all_4_9_10, all_4_7_8) = 0) | ? [v0] : ? [v1] : (organization(all_4_9_10) = v0 & has_endowment(all_4_9_10) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (32) with all_4_4_5, sigma yields:
% 39.97/10.10 | (321) ~ (greater(all_4_4_5, sigma) = 0) | smaller(sigma, all_4_4_5) = 0
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (15) with all_4_4_5, sigma yields:
% 39.97/10.10 | (322) ~ (greater(all_4_4_5, sigma) = 0) | ? [v0] : ( ~ (v0 = 0) & greater(sigma, all_4_4_5) = v0)
% 39.97/10.10 |
% 39.97/10.10 | Instantiating formula (52) with all_16_0_22, sigma, all_4_4_5, zero and discharging atoms greater(zero, sigma) = all_16_0_22, yields:
% 39.97/10.10 | (323) all_16_0_22 = 0 | ~ (greater(all_4_4_5, sigma) = 0) | ? [v0] : ( ~ (v0 = 0) & greater(zero, all_4_4_5) = v0)
% 39.97/10.10 |
% 39.97/10.10 | Instantiating (318) with all_78_0_70, all_78_1_71, all_78_2_72, all_78_3_73 yields:
% 39.97/10.10 | (324) age(all_4_9_10, all_4_7_8) = all_78_1_71 & age(all_4_9_10, all_4_8_9) = all_78_2_72 & organization(all_4_9_10) = all_78_3_73 & greater(all_78_1_71, sigma) = all_78_0_70 & ( ~ (all_78_2_72 = zero) | ~ (all_78_3_73 = 0) | (( ~ (all_78_0_70 = 0) | all_34_0_59 = 0) & ( ~ (all_34_0_59 = 0) | all_78_0_70 = 0)))
% 39.97/10.10 |
% 39.97/10.10 | Applying alpha-rule on (324) yields:
% 39.97/10.10 | (325) age(all_4_9_10, all_4_7_8) = all_78_1_71
% 39.97/10.10 | (326) greater(all_78_1_71, sigma) = all_78_0_70
% 39.97/10.10 | (327) ~ (all_78_2_72 = zero) | ~ (all_78_3_73 = 0) | (( ~ (all_78_0_70 = 0) | all_34_0_59 = 0) & ( ~ (all_34_0_59 = 0) | all_78_0_70 = 0))
% 39.97/10.10 | (328) organization(all_4_9_10) = all_78_3_73
% 39.97/10.10 | (329) age(all_4_9_10, all_4_8_9) = all_78_2_72
% 39.97/10.10 |
% 39.97/10.10 | Instantiating (316) with all_80_0_74, all_80_1_75 yields:
% 39.97/10.10 | (330) is_aligned(all_4_9_10, all_4_6_7) = all_80_0_74 & is_aligned(all_4_9_10, all_4_8_9) = all_80_1_75 & organization(all_4_9_10) = 0 & ( ~ (all_80_0_74 = 0) | ~ (all_80_1_75 = 0)) & (all_80_0_74 = 0 | all_80_1_75 = 0)
% 39.97/10.10 |
% 39.97/10.10 | Applying alpha-rule on (330) yields:
% 39.97/10.10 | (331) ~ (all_80_0_74 = 0) | ~ (all_80_1_75 = 0)
% 39.97/10.10 | (332) is_aligned(all_4_9_10, all_4_8_9) = all_80_1_75
% 39.97/10.10 | (74) organization(all_4_9_10) = 0
% 39.97/10.10 | (334) all_80_0_74 = 0 | all_80_1_75 = 0
% 39.97/10.10 | (335) is_aligned(all_4_9_10, all_4_6_7) = all_80_0_74
% 39.97/10.10 |
% 39.97/10.10 | Instantiating (315) with all_82_0_76, all_82_1_77, all_82_2_78, all_82_3_79 yields:
% 39.97/10.10 | (336) capability(all_4_9_10, all_4_8_9) = all_82_1_77 & is_aligned(all_4_9_10, all_4_7_8) = all_82_2_78 & organization(all_4_9_10) = all_82_3_79 & greater(all_82_1_77, all_14_3_18) = all_82_0_76 & ( ~ (all_82_3_79 = 0) | all_82_0_76 = 0 | all_82_2_78 = 0)
% 39.97/10.10 |
% 39.97/10.10 | Applying alpha-rule on (336) yields:
% 39.97/10.10 | (337) is_aligned(all_4_9_10, all_4_7_8) = all_82_2_78
% 39.97/10.10 | (338) greater(all_82_1_77, all_14_3_18) = all_82_0_76
% 39.97/10.10 | (339) ~ (all_82_3_79 = 0) | all_82_0_76 = 0 | all_82_2_78 = 0
% 39.97/10.10 | (340) capability(all_4_9_10, all_4_8_9) = all_82_1_77
% 39.97/10.10 | (341) organization(all_4_9_10) = all_82_3_79
% 39.97/10.10 |
% 39.97/10.10 | Instantiating (313) with all_84_0_80, all_84_1_81, all_84_2_82, all_84_3_83, all_84_4_84, all_84_5_85, all_84_6_86 yields:
% 39.97/10.10 | (342) capability(all_4_9_10, all_4_7_8) = all_84_3_83 & hazard_of_mortality(all_4_9_10, all_4_7_8) = all_84_1_81 & has_immunity(all_4_9_10, all_4_7_8) = all_84_4_84 & has_immunity(all_4_9_10, all_4_7_8) = all_84_5_85 & organization(all_4_9_10) = all_84_6_86 & greater(all_84_1_81, all_4_1_2) = all_84_0_80 & greater(all_84_3_83, all_14_3_18) = all_84_2_82 & ( ~ (all_84_2_82 = 0) | ~ (all_84_6_86 = 0) | all_84_0_80 = 0 | all_84_4_84 = 0 | all_84_5_85 = 0)
% 39.97/10.10 |
% 39.97/10.10 | Applying alpha-rule on (342) yields:
% 39.97/10.10 | (343) has_immunity(all_4_9_10, all_4_7_8) = all_84_4_84
% 39.97/10.10 | (344) greater(all_84_3_83, all_14_3_18) = all_84_2_82
% 39.97/10.10 | (345) has_immunity(all_4_9_10, all_4_7_8) = all_84_5_85
% 39.97/10.10 | (346) capability(all_4_9_10, all_4_7_8) = all_84_3_83
% 39.97/10.10 | (347) hazard_of_mortality(all_4_9_10, all_4_7_8) = all_84_1_81
% 39.97/10.10 | (348) organization(all_4_9_10) = all_84_6_86
% 39.97/10.10 | (349) greater(all_84_1_81, all_4_1_2) = all_84_0_80
% 39.97/10.10 | (350) ~ (all_84_2_82 = 0) | ~ (all_84_6_86 = 0) | all_84_0_80 = 0 | all_84_4_84 = 0 | all_84_5_85 = 0
% 39.97/10.10 |
% 39.97/10.10 | Instantiating (312) with all_86_0_87, all_86_1_88, all_86_2_89, all_86_3_90, all_86_4_91, all_86_5_92, all_86_6_93 yields:
% 39.97/10.10 | (351) capability(all_4_9_10, all_4_7_8) = all_86_3_90 & hazard_of_mortality(all_4_9_10, all_4_7_8) = all_86_1_88 & has_immunity(all_4_9_10, all_4_7_8) = all_86_4_91 & has_immunity(all_4_9_10, all_4_7_8) = all_86_5_92 & organization(all_4_9_10) = all_86_6_93 & greater(all_14_3_18, all_86_3_90) = all_86_2_89 & greater(all_4_1_2, all_86_1_88) = all_86_0_87 & ( ~ (all_86_2_89 = 0) | ~ (all_86_6_93 = 0) | all_86_0_87 = 0 | all_86_4_91 = 0 | all_86_5_92 = 0)
% 39.97/10.10 |
% 39.97/10.10 | Applying alpha-rule on (351) yields:
% 39.97/10.10 | (352) organization(all_4_9_10) = all_86_6_93
% 39.97/10.10 | (353) has_immunity(all_4_9_10, all_4_7_8) = all_86_5_92
% 39.97/10.10 | (354) ~ (all_86_2_89 = 0) | ~ (all_86_6_93 = 0) | all_86_0_87 = 0 | all_86_4_91 = 0 | all_86_5_92 = 0
% 39.97/10.10 | (355) greater(all_4_1_2, all_86_1_88) = all_86_0_87
% 39.97/10.10 | (356) hazard_of_mortality(all_4_9_10, all_4_7_8) = all_86_1_88
% 39.97/10.10 | (357) capability(all_4_9_10, all_4_7_8) = all_86_3_90
% 39.97/10.10 | (358) has_immunity(all_4_9_10, all_4_7_8) = all_86_4_91
% 39.97/10.10 | (359) greater(all_14_3_18, all_86_3_90) = all_86_2_89
% 39.97/10.10 |
% 39.97/10.10 | Instantiating (309) with all_88_0_94, all_88_1_95, all_88_2_96, all_88_3_97, all_88_4_98, all_88_5_99, all_88_6_100 yields:
% 39.97/10.10 | (360) hazard_of_mortality(all_4_9_10, all_4_7_8) = all_88_1_95 & hazard_of_mortality(all_4_9_10, all_4_7_8) = all_88_2_96 & has_immunity(all_4_9_10, all_4_7_8) = all_88_4_98 & has_immunity(all_4_9_10, all_4_7_8) = all_88_5_99 & organization(all_4_9_10) = all_88_6_100 & greater(all_88_2_96, all_88_1_95) = all_88_0_94 & greater(all_14_3_18, all_14_3_18) = all_88_3_97 & ( ~ (all_88_3_97 = 0) | ~ (all_88_6_100 = 0) | all_88_0_94 = 0 | all_88_4_98 = 0 | all_88_5_99 = 0)
% 39.97/10.10 |
% 39.97/10.10 | Applying alpha-rule on (360) yields:
% 39.97/10.10 | (361) greater(all_14_3_18, all_14_3_18) = all_88_3_97
% 39.97/10.10 | (362) greater(all_88_2_96, all_88_1_95) = all_88_0_94
% 39.97/10.10 | (363) organization(all_4_9_10) = all_88_6_100
% 39.97/10.10 | (364) has_immunity(all_4_9_10, all_4_7_8) = all_88_4_98
% 39.97/10.10 | (365) hazard_of_mortality(all_4_9_10, all_4_7_8) = all_88_1_95
% 39.97/10.10 | (366) hazard_of_mortality(all_4_9_10, all_4_7_8) = all_88_2_96
% 39.97/10.10 | (367) has_immunity(all_4_9_10, all_4_7_8) = all_88_5_99
% 39.97/10.11 | (368) ~ (all_88_3_97 = 0) | ~ (all_88_6_100 = 0) | all_88_0_94 = 0 | all_88_4_98 = 0 | all_88_5_99 = 0
% 39.97/10.11 |
% 39.97/10.11 | Instantiating (308) with all_90_0_101, all_90_1_102, all_90_2_103, all_90_3_104 yields:
% 39.97/10.11 | (369) is_aligned(all_4_9_10, all_4_7_8) = all_90_1_102 & is_aligned(all_4_9_10, all_4_7_8) = all_90_2_103 & organization(all_4_9_10) = all_90_3_104 & greater(all_14_3_18, all_14_3_18) = all_90_0_101 & ( ~ (all_90_2_103 = 0) | ~ (all_90_3_104 = 0) | all_90_0_101 = 0 | all_90_1_102 = 0)
% 39.97/10.11 |
% 39.97/10.11 | Applying alpha-rule on (369) yields:
% 39.97/10.11 | (370) is_aligned(all_4_9_10, all_4_7_8) = all_90_2_103
% 39.97/10.11 | (371) greater(all_14_3_18, all_14_3_18) = all_90_0_101
% 39.97/10.11 | (372) is_aligned(all_4_9_10, all_4_7_8) = all_90_1_102
% 39.97/10.11 | (373) ~ (all_90_2_103 = 0) | ~ (all_90_3_104 = 0) | all_90_0_101 = 0 | all_90_1_102 = 0
% 39.97/10.11 | (374) organization(all_4_9_10) = all_90_3_104
% 39.97/10.11 |
% 39.97/10.11 | Instantiating (307) with all_92_0_105, all_92_1_106, all_92_2_107, all_92_3_108, all_92_4_109, all_92_5_110, all_92_6_111 yields:
% 39.97/10.11 | (375) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_92_1_106 & hazard_of_mortality(all_4_9_10, all_4_7_8) = all_92_2_107 & has_immunity(all_4_9_10, all_4_6_7) = all_92_4_109 & has_immunity(all_4_9_10, all_4_7_8) = all_92_5_110 & organization(all_4_9_10) = all_92_6_111 & greater(all_92_2_107, all_92_1_106) = all_92_0_105 & greater(all_18_3_26, all_14_3_18) = all_92_3_108 & ( ~ (all_92_3_108 = 0) | ~ (all_92_6_111 = 0) | all_92_0_105 = 0 | all_92_4_109 = 0 | all_92_5_110 = 0)
% 39.97/10.11 |
% 39.97/10.11 | Applying alpha-rule on (375) yields:
% 39.97/10.11 | (376) greater(all_18_3_26, all_14_3_18) = all_92_3_108
% 39.97/10.11 | (377) hazard_of_mortality(all_4_9_10, all_4_7_8) = all_92_2_107
% 39.97/10.11 | (378) ~ (all_92_3_108 = 0) | ~ (all_92_6_111 = 0) | all_92_0_105 = 0 | all_92_4_109 = 0 | all_92_5_110 = 0
% 39.97/10.11 | (379) organization(all_4_9_10) = all_92_6_111
% 39.97/10.11 | (380) greater(all_92_2_107, all_92_1_106) = all_92_0_105
% 39.97/10.11 | (381) has_immunity(all_4_9_10, all_4_7_8) = all_92_5_110
% 39.97/10.11 | (382) has_immunity(all_4_9_10, all_4_6_7) = all_92_4_109
% 39.97/10.11 | (383) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_92_1_106
% 39.97/10.11 |
% 39.97/10.11 | Instantiating (311) with all_94_0_112, all_94_1_113, all_94_2_114, all_94_3_115, all_94_4_116, all_94_5_117, all_94_6_118 yields:
% 39.97/10.11 | (384) capability(all_4_9_10, all_4_6_7) = all_94_3_115 & hazard_of_mortality(all_4_9_10, all_4_7_8) = all_94_1_113 & has_immunity(all_4_9_10, all_4_6_7) = all_94_4_116 & has_immunity(all_4_9_10, all_4_7_8) = all_94_5_117 & organization(all_4_9_10) = all_94_6_118 & greater(all_94_1_113, all_4_2_3) = all_94_0_112 & greater(all_94_3_115, all_14_3_18) = all_94_2_114 & ( ~ (all_94_2_114 = 0) | ~ (all_94_6_118 = 0) | all_94_0_112 = 0 | all_94_4_116 = 0 | all_94_5_117 = 0)
% 39.97/10.11 |
% 39.97/10.11 | Applying alpha-rule on (384) yields:
% 39.97/10.11 | (385) capability(all_4_9_10, all_4_6_7) = all_94_3_115
% 39.97/10.11 | (386) hazard_of_mortality(all_4_9_10, all_4_7_8) = all_94_1_113
% 39.97/10.11 | (387) greater(all_94_3_115, all_14_3_18) = all_94_2_114
% 39.97/10.11 | (388) organization(all_4_9_10) = all_94_6_118
% 39.97/10.11 | (389) greater(all_94_1_113, all_4_2_3) = all_94_0_112
% 39.97/10.11 | (390) has_immunity(all_4_9_10, all_4_7_8) = all_94_5_117
% 39.97/10.11 | (391) ~ (all_94_2_114 = 0) | ~ (all_94_6_118 = 0) | all_94_0_112 = 0 | all_94_4_116 = 0 | all_94_5_117 = 0
% 39.97/10.11 | (392) has_immunity(all_4_9_10, all_4_6_7) = all_94_4_116
% 39.97/10.11 |
% 39.97/10.11 | Instantiating (310) with all_96_0_119, all_96_1_120, all_96_2_121, all_96_3_122, all_96_4_123, all_96_5_124, all_96_6_125 yields:
% 39.97/10.11 | (393) capability(all_4_9_10, all_4_6_7) = all_96_3_122 & hazard_of_mortality(all_4_9_10, all_4_7_8) = all_96_1_120 & has_immunity(all_4_9_10, all_4_6_7) = all_96_5_124 & has_immunity(all_4_9_10, all_4_7_8) = all_96_4_123 & organization(all_4_9_10) = all_96_6_125 & greater(all_14_3_18, all_96_3_122) = all_96_2_121 & greater(all_4_2_3, all_96_1_120) = all_96_0_119 & ( ~ (all_96_2_121 = 0) | ~ (all_96_6_125 = 0) | all_96_0_119 = 0 | all_96_4_123 = 0 | all_96_5_124 = 0)
% 39.97/10.11 |
% 39.97/10.11 | Applying alpha-rule on (393) yields:
% 39.97/10.11 | (394) ~ (all_96_2_121 = 0) | ~ (all_96_6_125 = 0) | all_96_0_119 = 0 | all_96_4_123 = 0 | all_96_5_124 = 0
% 39.97/10.11 | (395) greater(all_4_2_3, all_96_1_120) = all_96_0_119
% 39.97/10.11 | (396) hazard_of_mortality(all_4_9_10, all_4_7_8) = all_96_1_120
% 39.97/10.11 | (397) has_immunity(all_4_9_10, all_4_6_7) = all_96_5_124
% 39.97/10.11 | (398) capability(all_4_9_10, all_4_6_7) = all_96_3_122
% 39.97/10.11 | (399) organization(all_4_9_10) = all_96_6_125
% 39.97/10.11 | (400) greater(all_14_3_18, all_96_3_122) = all_96_2_121
% 39.97/10.11 | (401) has_immunity(all_4_9_10, all_4_7_8) = all_96_4_123
% 39.97/10.11 |
% 39.97/10.11 | Instantiating (306) with all_98_0_126, all_98_1_127, all_98_2_128, all_98_3_129, all_98_4_130, all_98_5_131, all_98_6_132 yields:
% 39.97/10.11 | (402) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_98_2_128 & hazard_of_mortality(all_4_9_10, all_4_7_8) = all_98_1_127 & has_immunity(all_4_9_10, all_4_6_7) = all_98_5_131 & has_immunity(all_4_9_10, all_4_7_8) = all_98_4_130 & organization(all_4_9_10) = all_98_6_132 & greater(all_98_2_128, all_98_1_127) = all_98_0_126 & greater(all_14_3_18, all_18_3_26) = all_98_3_129 & ( ~ (all_98_3_129 = 0) | ~ (all_98_6_132 = 0) | all_98_0_126 = 0 | all_98_4_130 = 0 | all_98_5_131 = 0)
% 39.97/10.11 |
% 39.97/10.11 | Applying alpha-rule on (402) yields:
% 39.97/10.11 | (403) has_immunity(all_4_9_10, all_4_6_7) = all_98_5_131
% 39.97/10.11 | (404) ~ (all_98_3_129 = 0) | ~ (all_98_6_132 = 0) | all_98_0_126 = 0 | all_98_4_130 = 0 | all_98_5_131 = 0
% 39.97/10.11 | (405) greater(all_98_2_128, all_98_1_127) = all_98_0_126
% 39.97/10.11 | (406) organization(all_4_9_10) = all_98_6_132
% 39.97/10.11 | (407) greater(all_14_3_18, all_18_3_26) = all_98_3_129
% 39.97/10.11 | (408) hazard_of_mortality(all_4_9_10, all_4_7_8) = all_98_1_127
% 39.97/10.11 | (409) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_98_2_128
% 39.97/10.11 | (410) has_immunity(all_4_9_10, all_4_7_8) = all_98_4_130
% 39.97/10.11 |
% 39.97/10.11 | Instantiating (314) with all_100_0_133, all_100_1_134, all_100_2_135, all_100_3_136 yields:
% 39.97/10.11 | (411) capability(all_4_9_10, all_4_8_9) = all_100_1_134 & is_aligned(all_4_9_10, all_4_6_7) = all_100_2_135 & organization(all_4_9_10) = all_100_3_136 & greater(all_100_1_134, all_18_3_26) = all_100_0_133 & ( ~ (all_100_3_136 = 0) | all_100_0_133 = 0 | all_100_2_135 = 0)
% 39.97/10.11 |
% 39.97/10.11 | Applying alpha-rule on (411) yields:
% 39.97/10.11 | (412) is_aligned(all_4_9_10, all_4_6_7) = all_100_2_135
% 39.97/10.11 | (413) greater(all_100_1_134, all_18_3_26) = all_100_0_133
% 39.97/10.11 | (414) capability(all_4_9_10, all_4_8_9) = all_100_1_134
% 39.97/10.11 | (415) organization(all_4_9_10) = all_100_3_136
% 39.97/10.11 | (416) ~ (all_100_3_136 = 0) | all_100_0_133 = 0 | all_100_2_135 = 0
% 39.97/10.11 |
% 39.97/10.11 | Instantiating (305) with all_102_0_137, all_102_1_138, all_102_2_139, all_102_3_140 yields:
% 39.97/10.11 | (417) is_aligned(all_4_9_10, all_4_6_7) = all_102_1_138 & is_aligned(all_4_9_10, all_4_7_8) = all_102_2_139 & organization(all_4_9_10) = all_102_3_140 & greater(all_14_3_18, all_18_3_26) = all_102_0_137 & ( ~ (all_102_2_139 = 0) | ~ (all_102_3_140 = 0) | all_102_0_137 = 0 | all_102_1_138 = 0)
% 39.97/10.11 |
% 39.97/10.11 | Applying alpha-rule on (417) yields:
% 39.97/10.11 | (418) is_aligned(all_4_9_10, all_4_6_7) = all_102_1_138
% 39.97/10.11 | (419) is_aligned(all_4_9_10, all_4_7_8) = all_102_2_139
% 39.97/10.11 | (420) organization(all_4_9_10) = all_102_3_140
% 39.97/10.11 | (421) ~ (all_102_2_139 = 0) | ~ (all_102_3_140 = 0) | all_102_0_137 = 0 | all_102_1_138 = 0
% 39.97/10.11 | (422) greater(all_14_3_18, all_18_3_26) = all_102_0_137
% 39.97/10.11 |
% 39.97/10.11 | Instantiating (303) with all_104_0_141, all_104_1_142, all_104_2_143, all_104_3_144, all_104_4_145, all_104_5_146, all_104_6_147 yields:
% 39.97/10.11 | (423) capability(all_4_9_10, all_4_7_8) = all_104_3_144 & hazard_of_mortality(all_4_9_10, all_4_6_7) = all_104_1_142 & has_immunity(all_4_9_10, all_4_6_7) = all_104_5_146 & has_immunity(all_4_9_10, all_4_7_8) = all_104_4_145 & organization(all_4_9_10) = all_104_6_147 & greater(all_104_1_142, all_4_1_2) = all_104_0_141 & greater(all_104_3_144, all_18_3_26) = all_104_2_143 & ( ~ (all_104_2_143 = 0) | ~ (all_104_6_147 = 0) | all_104_0_141 = 0 | all_104_4_145 = 0 | all_104_5_146 = 0)
% 39.97/10.11 |
% 39.97/10.11 | Applying alpha-rule on (423) yields:
% 39.97/10.11 | (424) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_104_1_142
% 39.97/10.11 | (425) organization(all_4_9_10) = all_104_6_147
% 39.97/10.11 | (426) has_immunity(all_4_9_10, all_4_6_7) = all_104_5_146
% 39.97/10.11 | (427) ~ (all_104_2_143 = 0) | ~ (all_104_6_147 = 0) | all_104_0_141 = 0 | all_104_4_145 = 0 | all_104_5_146 = 0
% 39.97/10.11 | (428) greater(all_104_1_142, all_4_1_2) = all_104_0_141
% 39.97/10.11 | (429) capability(all_4_9_10, all_4_7_8) = all_104_3_144
% 39.97/10.11 | (430) greater(all_104_3_144, all_18_3_26) = all_104_2_143
% 39.97/10.11 | (431) has_immunity(all_4_9_10, all_4_7_8) = all_104_4_145
% 39.97/10.11 |
% 39.97/10.11 | Instantiating (302) with all_106_0_148, all_106_1_149, all_106_2_150, all_106_3_151, all_106_4_152, all_106_5_153, all_106_6_154 yields:
% 39.97/10.11 | (432) capability(all_4_9_10, all_4_7_8) = all_106_3_151 & hazard_of_mortality(all_4_9_10, all_4_6_7) = all_106_1_149 & has_immunity(all_4_9_10, all_4_6_7) = all_106_4_152 & has_immunity(all_4_9_10, all_4_7_8) = all_106_5_153 & organization(all_4_9_10) = all_106_6_154 & greater(all_18_3_26, all_106_3_151) = all_106_2_150 & greater(all_4_1_2, all_106_1_149) = all_106_0_148 & ( ~ (all_106_2_150 = 0) | ~ (all_106_6_154 = 0) | all_106_0_148 = 0 | all_106_4_152 = 0 | all_106_5_153 = 0)
% 39.97/10.11 |
% 39.97/10.11 | Applying alpha-rule on (432) yields:
% 39.97/10.11 | (433) ~ (all_106_2_150 = 0) | ~ (all_106_6_154 = 0) | all_106_0_148 = 0 | all_106_4_152 = 0 | all_106_5_153 = 0
% 39.97/10.11 | (434) greater(all_4_1_2, all_106_1_149) = all_106_0_148
% 39.97/10.11 | (435) organization(all_4_9_10) = all_106_6_154
% 39.97/10.11 | (436) greater(all_18_3_26, all_106_3_151) = all_106_2_150
% 39.97/10.12 | (437) has_immunity(all_4_9_10, all_4_6_7) = all_106_4_152
% 39.97/10.12 | (438) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_106_1_149
% 39.97/10.12 | (439) capability(all_4_9_10, all_4_7_8) = all_106_3_151
% 39.97/10.12 | (440) has_immunity(all_4_9_10, all_4_7_8) = all_106_5_153
% 39.97/10.12 |
% 39.97/10.12 | Instantiating (304) with all_108_0_155, all_108_1_156, all_108_2_157, all_108_3_158 yields:
% 39.97/10.12 | (441) is_aligned(all_4_9_10, all_4_6_7) = all_108_2_157 & is_aligned(all_4_9_10, all_4_7_8) = all_108_1_156 & organization(all_4_9_10) = all_108_3_158 & greater(all_18_3_26, all_14_3_18) = all_108_0_155 & ( ~ (all_108_2_157 = 0) | ~ (all_108_3_158 = 0) | all_108_0_155 = 0 | all_108_1_156 = 0)
% 39.97/10.12 |
% 39.97/10.12 | Applying alpha-rule on (441) yields:
% 39.97/10.12 | (442) is_aligned(all_4_9_10, all_4_7_8) = all_108_1_156
% 39.97/10.12 | (443) greater(all_18_3_26, all_14_3_18) = all_108_0_155
% 39.97/10.12 | (444) organization(all_4_9_10) = all_108_3_158
% 39.97/10.12 | (445) ~ (all_108_2_157 = 0) | ~ (all_108_3_158 = 0) | all_108_0_155 = 0 | all_108_1_156 = 0
% 39.97/10.12 | (446) is_aligned(all_4_9_10, all_4_6_7) = all_108_2_157
% 39.97/10.12 |
% 39.97/10.12 | Instantiating (301) with all_110_0_159, all_110_1_160, all_110_2_161, all_110_3_162, all_110_4_163, all_110_5_164, all_110_6_165 yields:
% 39.97/10.12 | (447) capability(all_4_9_10, all_4_6_7) = all_110_3_162 & hazard_of_mortality(all_4_9_10, all_4_6_7) = all_110_1_160 & has_immunity(all_4_9_10, all_4_6_7) = all_110_4_163 & has_immunity(all_4_9_10, all_4_6_7) = all_110_5_164 & organization(all_4_9_10) = all_110_6_165 & greater(all_110_1_160, all_4_2_3) = all_110_0_159 & greater(all_110_3_162, all_18_3_26) = all_110_2_161 & ( ~ (all_110_2_161 = 0) | ~ (all_110_6_165 = 0) | all_110_0_159 = 0 | all_110_4_163 = 0 | all_110_5_164 = 0)
% 39.97/10.12 |
% 39.97/10.12 | Applying alpha-rule on (447) yields:
% 39.97/10.12 | (448) greater(all_110_3_162, all_18_3_26) = all_110_2_161
% 39.97/10.12 | (449) has_immunity(all_4_9_10, all_4_6_7) = all_110_4_163
% 39.97/10.12 | (450) capability(all_4_9_10, all_4_6_7) = all_110_3_162
% 39.97/10.12 | (451) greater(all_110_1_160, all_4_2_3) = all_110_0_159
% 39.97/10.12 | (452) has_immunity(all_4_9_10, all_4_6_7) = all_110_5_164
% 39.97/10.12 | (453) ~ (all_110_2_161 = 0) | ~ (all_110_6_165 = 0) | all_110_0_159 = 0 | all_110_4_163 = 0 | all_110_5_164 = 0
% 39.97/10.12 | (454) organization(all_4_9_10) = all_110_6_165
% 39.97/10.12 | (455) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_110_1_160
% 39.97/10.12 |
% 39.97/10.12 | Instantiating (300) with all_112_0_166, all_112_1_167, all_112_2_168, all_112_3_169, all_112_4_170, all_112_5_171, all_112_6_172 yields:
% 39.97/10.12 | (456) capability(all_4_9_10, all_4_6_7) = all_112_3_169 & hazard_of_mortality(all_4_9_10, all_4_6_7) = all_112_1_167 & has_immunity(all_4_9_10, all_4_6_7) = all_112_4_170 & has_immunity(all_4_9_10, all_4_6_7) = all_112_5_171 & organization(all_4_9_10) = all_112_6_172 & greater(all_18_3_26, all_112_3_169) = all_112_2_168 & greater(all_4_2_3, all_112_1_167) = all_112_0_166 & ( ~ (all_112_2_168 = 0) | ~ (all_112_6_172 = 0) | all_112_0_166 = 0 | all_112_4_170 = 0 | all_112_5_171 = 0)
% 39.97/10.12 |
% 39.97/10.12 | Applying alpha-rule on (456) yields:
% 39.97/10.12 | (457) organization(all_4_9_10) = all_112_6_172
% 39.97/10.12 | (458) greater(all_18_3_26, all_112_3_169) = all_112_2_168
% 39.97/10.12 | (459) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_112_1_167
% 39.97/10.12 | (460) ~ (all_112_2_168 = 0) | ~ (all_112_6_172 = 0) | all_112_0_166 = 0 | all_112_4_170 = 0 | all_112_5_171 = 0
% 39.97/10.12 | (461) has_immunity(all_4_9_10, all_4_6_7) = all_112_5_171
% 39.97/10.12 | (462) capability(all_4_9_10, all_4_6_7) = all_112_3_169
% 39.97/10.12 | (463) has_immunity(all_4_9_10, all_4_6_7) = all_112_4_170
% 39.97/10.12 | (464) greater(all_4_2_3, all_112_1_167) = all_112_0_166
% 39.97/10.12 |
% 39.97/10.12 | Instantiating (299) with all_114_0_173, all_114_1_174, all_114_2_175, all_114_3_176, all_114_4_177, all_114_5_178, all_114_6_179 yields:
% 39.97/10.12 | (465) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_114_1_174 & hazard_of_mortality(all_4_9_10, all_4_6_7) = all_114_2_175 & has_immunity(all_4_9_10, all_4_6_7) = all_114_4_177 & has_immunity(all_4_9_10, all_4_6_7) = all_114_5_178 & organization(all_4_9_10) = all_114_6_179 & greater(all_114_2_175, all_114_1_174) = all_114_0_173 & greater(all_18_3_26, all_18_3_26) = all_114_3_176 & ( ~ (all_114_3_176 = 0) | ~ (all_114_6_179 = 0) | all_114_0_173 = 0 | all_114_4_177 = 0 | all_114_5_178 = 0)
% 39.97/10.12 |
% 39.97/10.12 | Applying alpha-rule on (465) yields:
% 39.97/10.12 | (466) organization(all_4_9_10) = all_114_6_179
% 39.97/10.12 | (467) ~ (all_114_3_176 = 0) | ~ (all_114_6_179 = 0) | all_114_0_173 = 0 | all_114_4_177 = 0 | all_114_5_178 = 0
% 39.97/10.12 | (468) greater(all_18_3_26, all_18_3_26) = all_114_3_176
% 39.97/10.12 | (469) greater(all_114_2_175, all_114_1_174) = all_114_0_173
% 39.97/10.12 | (470) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_114_2_175
% 39.97/10.12 | (471) hazard_of_mortality(all_4_9_10, all_4_6_7) = all_114_1_174
% 39.97/10.12 | (472) has_immunity(all_4_9_10, all_4_6_7) = all_114_5_178
% 39.97/10.12 | (473) has_immunity(all_4_9_10, all_4_6_7) = all_114_4_177
% 39.97/10.12 |
% 39.97/10.12 | Instantiating (298) with all_116_0_180, all_116_1_181, all_116_2_182, all_116_3_183 yields:
% 39.97/10.12 | (474) is_aligned(all_4_9_10, all_4_6_7) = all_116_1_181 & is_aligned(all_4_9_10, all_4_6_7) = all_116_2_182 & organization(all_4_9_10) = all_116_3_183 & greater(all_18_3_26, all_18_3_26) = all_116_0_180 & ( ~ (all_116_2_182 = 0) | ~ (all_116_3_183 = 0) | all_116_0_180 = 0 | all_116_1_181 = 0)
% 39.97/10.12 |
% 39.97/10.12 | Applying alpha-rule on (474) yields:
% 39.97/10.12 | (475) is_aligned(all_4_9_10, all_4_6_7) = all_116_1_181
% 39.97/10.12 | (476) organization(all_4_9_10) = all_116_3_183
% 39.97/10.12 | (477) greater(all_18_3_26, all_18_3_26) = all_116_0_180
% 39.97/10.12 | (478) is_aligned(all_4_9_10, all_4_6_7) = all_116_2_182
% 39.97/10.12 | (479) ~ (all_116_2_182 = 0) | ~ (all_116_3_183 = 0) | all_116_0_180 = 0 | all_116_1_181 = 0
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (13) with all_4_9_10, all_4_7_8, all_78_1_71, all_4_4_5 and discharging atoms age(all_4_9_10, all_4_7_8) = all_78_1_71, age(all_4_9_10, all_4_7_8) = all_4_4_5, yields:
% 39.97/10.12 | (480) all_78_1_71 = all_4_4_5
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_6_7, all_108_2_157, all_116_1_181 and discharging atoms is_aligned(all_4_9_10, all_4_6_7) = all_116_1_181, is_aligned(all_4_9_10, all_4_6_7) = all_108_2_157, yields:
% 39.97/10.12 | (481) all_116_1_181 = all_108_2_157
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_6_7, all_108_2_157, all_116_2_182 and discharging atoms is_aligned(all_4_9_10, all_4_6_7) = all_116_2_182, is_aligned(all_4_9_10, all_4_6_7) = all_108_2_157, yields:
% 39.97/10.12 | (482) all_116_2_182 = all_108_2_157
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_6_7, all_102_1_138, all_116_2_182 and discharging atoms is_aligned(all_4_9_10, all_4_6_7) = all_116_2_182, is_aligned(all_4_9_10, all_4_6_7) = all_102_1_138, yields:
% 39.97/10.12 | (483) all_116_2_182 = all_102_1_138
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_6_7, all_100_2_135, all_116_1_181 and discharging atoms is_aligned(all_4_9_10, all_4_6_7) = all_116_1_181, is_aligned(all_4_9_10, all_4_6_7) = all_100_2_135, yields:
% 39.97/10.12 | (484) all_116_1_181 = all_100_2_135
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_6_7, all_80_0_74, all_116_2_182 and discharging atoms is_aligned(all_4_9_10, all_4_6_7) = all_116_2_182, is_aligned(all_4_9_10, all_4_6_7) = all_80_0_74, yields:
% 39.97/10.12 | (485) all_116_2_182 = all_80_0_74
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_7_8, all_102_2_139, all_108_1_156 and discharging atoms is_aligned(all_4_9_10, all_4_7_8) = all_108_1_156, is_aligned(all_4_9_10, all_4_7_8) = all_102_2_139, yields:
% 39.97/10.12 | (486) all_108_1_156 = all_102_2_139
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_7_8, all_90_1_102, all_102_2_139 and discharging atoms is_aligned(all_4_9_10, all_4_7_8) = all_102_2_139, is_aligned(all_4_9_10, all_4_7_8) = all_90_1_102, yields:
% 39.97/10.12 | (487) all_102_2_139 = all_90_1_102
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_7_8, all_90_2_103, all_90_1_102 and discharging atoms is_aligned(all_4_9_10, all_4_7_8) = all_90_1_102, is_aligned(all_4_9_10, all_4_7_8) = all_90_2_103, yields:
% 39.97/10.12 | (488) all_90_1_102 = all_90_2_103
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_7_8, all_82_2_78, all_108_1_156 and discharging atoms is_aligned(all_4_9_10, all_4_7_8) = all_108_1_156, is_aligned(all_4_9_10, all_4_7_8) = all_82_2_78, yields:
% 39.97/10.12 | (489) all_108_1_156 = all_82_2_78
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_8_9, all_80_1_75, 0 and discharging atoms is_aligned(all_4_9_10, all_4_8_9) = all_80_1_75, is_aligned(all_4_9_10, all_4_8_9) = 0, yields:
% 39.97/10.12 | (490) all_80_1_75 = 0
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (8) with all_4_9_10, all_4_8_9, all_80_1_75, all_82_2_78 and discharging atoms is_aligned(all_4_9_10, all_4_8_9) = all_80_1_75, yields:
% 39.97/10.12 | (491) all_82_2_78 = all_80_1_75 | ~ (is_aligned(all_4_9_10, all_4_8_9) = all_82_2_78)
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_114_4_177, all_18_4_27 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_114_4_177, has_immunity(all_4_9_10, all_4_6_7) = all_18_4_27, yields:
% 39.97/10.12 | (492) all_114_4_177 = all_18_4_27
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_112_4_170, all_114_4_177 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_114_4_177, has_immunity(all_4_9_10, all_4_6_7) = all_112_4_170, yields:
% 39.97/10.12 | (493) all_114_4_177 = all_112_4_170
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_112_5_171, all_112_4_170 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_112_4_170, has_immunity(all_4_9_10, all_4_6_7) = all_112_5_171, yields:
% 39.97/10.12 | (494) all_112_4_170 = all_112_5_171
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_110_4_163, all_114_5_178 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_114_5_178, has_immunity(all_4_9_10, all_4_6_7) = all_110_4_163, yields:
% 39.97/10.12 | (495) all_114_5_178 = all_110_4_163
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_106_4_152, all_114_5_178 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_114_5_178, has_immunity(all_4_9_10, all_4_6_7) = all_106_4_152, yields:
% 39.97/10.12 | (496) all_114_5_178 = all_106_4_152
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_104_5_146, all_110_5_164 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_110_5_164, has_immunity(all_4_9_10, all_4_6_7) = all_104_5_146, yields:
% 39.97/10.12 | (497) all_110_5_164 = all_104_5_146
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_104_5_146, all_106_4_152 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_106_4_152, has_immunity(all_4_9_10, all_4_6_7) = all_104_5_146, yields:
% 39.97/10.12 | (498) all_106_4_152 = all_104_5_146
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_98_5_131, all_112_4_170 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_112_4_170, has_immunity(all_4_9_10, all_4_6_7) = all_98_5_131, yields:
% 39.97/10.12 | (499) all_112_4_170 = all_98_5_131
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_96_5_124, all_114_5_178 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_114_5_178, has_immunity(all_4_9_10, all_4_6_7) = all_96_5_124, yields:
% 39.97/10.12 | (500) all_114_5_178 = all_96_5_124
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_94_4_116, all_104_5_146 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_104_5_146, has_immunity(all_4_9_10, all_4_6_7) = all_94_4_116, yields:
% 39.97/10.12 | (501) all_104_5_146 = all_94_4_116
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_94_4_116, all_98_5_131 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_98_5_131, has_immunity(all_4_9_10, all_4_6_7) = all_94_4_116, yields:
% 39.97/10.12 | (502) all_98_5_131 = all_94_4_116
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_6_7, all_92_4_109, all_110_5_164 and discharging atoms has_immunity(all_4_9_10, all_4_6_7) = all_110_5_164, has_immunity(all_4_9_10, all_4_6_7) = all_92_4_109, yields:
% 39.97/10.12 | (503) all_110_5_164 = all_92_4_109
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_104_4_145, all_106_5_153 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_106_5_153, has_immunity(all_4_9_10, all_4_7_8) = all_104_4_145, yields:
% 39.97/10.12 | (504) all_106_5_153 = all_104_4_145
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_98_4_130, all_104_4_145 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_104_4_145, has_immunity(all_4_9_10, all_4_7_8) = all_98_4_130, yields:
% 39.97/10.12 | (505) all_104_4_145 = all_98_4_130
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_94_5_117, all_98_4_130 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_98_4_130, has_immunity(all_4_9_10, all_4_7_8) = all_94_5_117, yields:
% 39.97/10.12 | (506) all_98_4_130 = all_94_5_117
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_92_5_110, all_96_4_123 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_96_4_123, has_immunity(all_4_9_10, all_4_7_8) = all_92_5_110, yields:
% 39.97/10.12 | (507) all_96_4_123 = all_92_5_110
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_92_5_110, all_94_5_117 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_94_5_117, has_immunity(all_4_9_10, all_4_7_8) = all_92_5_110, yields:
% 39.97/10.12 | (508) all_94_5_117 = all_92_5_110
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_88_4_98, all_92_5_110 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_92_5_110, has_immunity(all_4_9_10, all_4_7_8) = all_88_4_98, yields:
% 39.97/10.12 | (509) all_92_5_110 = all_88_4_98
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_88_5_99, all_106_5_153 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_106_5_153, has_immunity(all_4_9_10, all_4_7_8) = all_88_5_99, yields:
% 39.97/10.12 | (510) all_106_5_153 = all_88_5_99
% 39.97/10.12 |
% 39.97/10.12 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_86_4_91, all_92_5_110 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_92_5_110, has_immunity(all_4_9_10, all_4_7_8) = all_86_4_91, yields:
% 39.97/10.13 | (511) all_92_5_110 = all_86_4_91
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_86_5_92, all_86_4_91 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_86_4_91, has_immunity(all_4_9_10, all_4_7_8) = all_86_5_92, yields:
% 39.97/10.13 | (512) all_86_4_91 = all_86_5_92
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_84_4_84, all_12_2_13 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_84_4_84, has_immunity(all_4_9_10, all_4_7_8) = all_12_2_13, yields:
% 39.97/10.13 | (513) all_84_4_84 = all_12_2_13
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_84_4_84, all_86_5_92 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_86_5_92, has_immunity(all_4_9_10, all_4_7_8) = all_84_4_84, yields:
% 39.97/10.13 | (514) all_86_5_92 = all_84_4_84
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (2) with all_4_9_10, all_4_7_8, all_84_5_85, all_96_4_123 and discharging atoms has_immunity(all_4_9_10, all_4_7_8) = all_96_4_123, has_immunity(all_4_9_10, all_4_7_8) = all_84_5_85, yields:
% 39.97/10.13 | (515) all_96_4_123 = all_84_5_85
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_110_6_165, all_116_3_183 and discharging atoms organization(all_4_9_10) = all_116_3_183, organization(all_4_9_10) = all_110_6_165, yields:
% 39.97/10.13 | (516) all_116_3_183 = all_110_6_165
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_106_6_154, all_114_6_179 and discharging atoms organization(all_4_9_10) = all_114_6_179, organization(all_4_9_10) = all_106_6_154, yields:
% 39.97/10.13 | (517) all_114_6_179 = all_106_6_154
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_104_6_147, all_108_3_158 and discharging atoms organization(all_4_9_10) = all_108_3_158, organization(all_4_9_10) = all_104_6_147, yields:
% 39.97/10.13 | (518) all_108_3_158 = all_104_6_147
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_102_3_140, all_104_6_147 and discharging atoms organization(all_4_9_10) = all_104_6_147, organization(all_4_9_10) = all_102_3_140, yields:
% 39.97/10.13 | (519) all_104_6_147 = all_102_3_140
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_100_3_136, all_102_3_140 and discharging atoms organization(all_4_9_10) = all_102_3_140, organization(all_4_9_10) = all_100_3_136, yields:
% 39.97/10.13 | (520) all_102_3_140 = all_100_3_136
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_98_6_132, all_100_3_136 and discharging atoms organization(all_4_9_10) = all_100_3_136, organization(all_4_9_10) = all_98_6_132, yields:
% 39.97/10.13 | (521) all_100_3_136 = all_98_6_132
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_96_6_125, all_110_6_165 and discharging atoms organization(all_4_9_10) = all_110_6_165, organization(all_4_9_10) = all_96_6_125, yields:
% 39.97/10.13 | (522) all_110_6_165 = all_96_6_125
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_94_6_118, all_112_6_172 and discharging atoms organization(all_4_9_10) = all_112_6_172, organization(all_4_9_10) = all_94_6_118, yields:
% 39.97/10.13 | (523) all_112_6_172 = all_94_6_118
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_92_6_111, all_106_6_154 and discharging atoms organization(all_4_9_10) = all_106_6_154, organization(all_4_9_10) = all_92_6_111, yields:
% 39.97/10.13 | (524) all_106_6_154 = all_92_6_111
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_90_3_104, all_98_6_132 and discharging atoms organization(all_4_9_10) = all_98_6_132, organization(all_4_9_10) = all_90_3_104, yields:
% 39.97/10.13 | (525) all_98_6_132 = all_90_3_104
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_90_3_104, all_96_6_125 and discharging atoms organization(all_4_9_10) = all_96_6_125, organization(all_4_9_10) = all_90_3_104, yields:
% 39.97/10.13 | (526) all_96_6_125 = all_90_3_104
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_90_3_104, all_92_6_111 and discharging atoms organization(all_4_9_10) = all_92_6_111, organization(all_4_9_10) = all_90_3_104, yields:
% 39.97/10.13 | (527) all_92_6_111 = all_90_3_104
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_88_6_100, all_108_3_158 and discharging atoms organization(all_4_9_10) = all_108_3_158, organization(all_4_9_10) = all_88_6_100, yields:
% 39.97/10.13 | (528) all_108_3_158 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_86_6_93, all_116_3_183 and discharging atoms organization(all_4_9_10) = all_116_3_183, organization(all_4_9_10) = all_86_6_93, yields:
% 39.97/10.13 | (529) all_116_3_183 = all_86_6_93
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_84_6_86, 0 and discharging atoms organization(all_4_9_10) = all_84_6_86, organization(all_4_9_10) = 0, yields:
% 39.97/10.13 | (530) all_84_6_86 = 0
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_84_6_86, all_112_6_172 and discharging atoms organization(all_4_9_10) = all_112_6_172, organization(all_4_9_10) = all_84_6_86, yields:
% 39.97/10.13 | (531) all_112_6_172 = all_84_6_86
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_84_6_86, all_90_3_104 and discharging atoms organization(all_4_9_10) = all_90_3_104, organization(all_4_9_10) = all_84_6_86, yields:
% 39.97/10.13 | (532) all_90_3_104 = all_84_6_86
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_82_3_79, all_114_6_179 and discharging atoms organization(all_4_9_10) = all_114_6_179, organization(all_4_9_10) = all_82_3_79, yields:
% 39.97/10.13 | (533) all_114_6_179 = all_82_3_79
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (10) with all_4_9_10, all_78_3_73, all_112_6_172 and discharging atoms organization(all_4_9_10) = all_112_6_172, organization(all_4_9_10) = all_78_3_73, yields:
% 39.97/10.13 | (534) all_112_6_172 = all_78_3_73
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (1) with all_4_4_5, sigma, all_78_0_70, all_34_1_60 and discharging atoms greater(all_4_4_5, sigma) = all_34_1_60, yields:
% 39.97/10.13 | (535) all_78_0_70 = all_34_1_60 | ~ (greater(all_4_4_5, sigma) = all_78_0_70)
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (1) with all_14_3_18, all_18_3_26, all_102_0_137, all_20_1_31 and discharging atoms greater(all_14_3_18, all_18_3_26) = all_102_0_137, greater(all_14_3_18, all_18_3_26) = all_20_1_31, yields:
% 39.97/10.13 | (536) all_102_0_137 = all_20_1_31
% 39.97/10.13 |
% 39.97/10.13 | Instantiating formula (1) with all_14_3_18, all_18_3_26, all_98_3_129, all_102_0_137 and discharging atoms greater(all_14_3_18, all_18_3_26) = all_102_0_137, greater(all_14_3_18, all_18_3_26) = all_98_3_129, yields:
% 39.97/10.13 | (537) all_102_0_137 = all_98_3_129
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (481,484) yields a new equation:
% 39.97/10.13 | (538) all_108_2_157 = all_100_2_135
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 538 yields:
% 39.97/10.13 | (539) all_108_2_157 = all_100_2_135
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (485,483) yields a new equation:
% 39.97/10.13 | (540) all_102_1_138 = all_80_0_74
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (482,483) yields a new equation:
% 39.97/10.13 | (541) all_108_2_157 = all_102_1_138
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 541 yields:
% 39.97/10.13 | (542) all_108_2_157 = all_102_1_138
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (516,529) yields a new equation:
% 39.97/10.13 | (543) all_110_6_165 = all_86_6_93
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 543 yields:
% 39.97/10.13 | (544) all_110_6_165 = all_86_6_93
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (493,492) yields a new equation:
% 39.97/10.13 | (545) all_112_4_170 = all_18_4_27
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 545 yields:
% 39.97/10.13 | (546) all_112_4_170 = all_18_4_27
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (500,495) yields a new equation:
% 39.97/10.13 | (547) all_110_4_163 = all_96_5_124
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (496,495) yields a new equation:
% 39.97/10.13 | (548) all_110_4_163 = all_106_4_152
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (517,533) yields a new equation:
% 39.97/10.13 | (549) all_106_6_154 = all_82_3_79
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 549 yields:
% 39.97/10.13 | (550) all_106_6_154 = all_82_3_79
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (499,494) yields a new equation:
% 39.97/10.13 | (551) all_112_5_171 = all_98_5_131
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (546,494) yields a new equation:
% 39.97/10.13 | (552) all_112_5_171 = all_18_4_27
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (551,552) yields a new equation:
% 39.97/10.13 | (553) all_98_5_131 = all_18_4_27
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 553 yields:
% 39.97/10.13 | (554) all_98_5_131 = all_18_4_27
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (531,523) yields a new equation:
% 39.97/10.13 | (555) all_94_6_118 = all_84_6_86
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (534,523) yields a new equation:
% 39.97/10.13 | (556) all_94_6_118 = all_78_3_73
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (548,547) yields a new equation:
% 39.97/10.13 | (557) all_106_4_152 = all_96_5_124
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 557 yields:
% 39.97/10.13 | (558) all_106_4_152 = all_96_5_124
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (497,503) yields a new equation:
% 39.97/10.13 | (559) all_104_5_146 = all_92_4_109
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 559 yields:
% 39.97/10.13 | (560) all_104_5_146 = all_92_4_109
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (522,544) yields a new equation:
% 39.97/10.13 | (561) all_96_6_125 = all_86_6_93
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 561 yields:
% 39.97/10.13 | (562) all_96_6_125 = all_86_6_93
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (486,489) yields a new equation:
% 39.97/10.13 | (563) all_102_2_139 = all_82_2_78
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 563 yields:
% 39.97/10.13 | (564) all_102_2_139 = all_82_2_78
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (542,539) yields a new equation:
% 39.97/10.13 | (565) all_102_1_138 = all_100_2_135
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 565 yields:
% 39.97/10.13 | (566) all_102_1_138 = all_100_2_135
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (518,528) yields a new equation:
% 39.97/10.13 | (567) all_104_6_147 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 567 yields:
% 39.97/10.13 | (568) all_104_6_147 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (498,558) yields a new equation:
% 39.97/10.13 | (569) all_104_5_146 = all_96_5_124
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 569 yields:
% 39.97/10.13 | (570) all_104_5_146 = all_96_5_124
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (504,510) yields a new equation:
% 39.97/10.13 | (571) all_104_4_145 = all_88_5_99
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 571 yields:
% 39.97/10.13 | (572) all_104_4_145 = all_88_5_99
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (524,550) yields a new equation:
% 39.97/10.13 | (573) all_92_6_111 = all_82_3_79
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 573 yields:
% 39.97/10.13 | (574) all_92_6_111 = all_82_3_79
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (505,572) yields a new equation:
% 39.97/10.13 | (575) all_98_4_130 = all_88_5_99
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 575 yields:
% 39.97/10.13 | (576) all_98_4_130 = all_88_5_99
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (501,570) yields a new equation:
% 39.97/10.13 | (577) all_96_5_124 = all_94_4_116
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (560,570) yields a new equation:
% 39.97/10.13 | (578) all_96_5_124 = all_92_4_109
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (519,568) yields a new equation:
% 39.97/10.13 | (579) all_102_3_140 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 579 yields:
% 39.97/10.13 | (580) all_102_3_140 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (536,537) yields a new equation:
% 39.97/10.13 | (581) all_98_3_129 = all_20_1_31
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (540,566) yields a new equation:
% 39.97/10.13 | (582) all_100_2_135 = all_80_0_74
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (487,564) yields a new equation:
% 39.97/10.13 | (583) all_90_1_102 = all_82_2_78
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 583 yields:
% 39.97/10.13 | (584) all_90_1_102 = all_82_2_78
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (520,580) yields a new equation:
% 39.97/10.13 | (585) all_100_3_136 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 585 yields:
% 39.97/10.13 | (586) all_100_3_136 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (521,586) yields a new equation:
% 39.97/10.13 | (587) all_98_6_132 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 587 yields:
% 39.97/10.13 | (588) all_98_6_132 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (506,576) yields a new equation:
% 39.97/10.13 | (589) all_94_5_117 = all_88_5_99
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 589 yields:
% 39.97/10.13 | (590) all_94_5_117 = all_88_5_99
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (502,554) yields a new equation:
% 39.97/10.13 | (591) all_94_4_116 = all_18_4_27
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 591 yields:
% 39.97/10.13 | (592) all_94_4_116 = all_18_4_27
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (525,588) yields a new equation:
% 39.97/10.13 | (593) all_90_3_104 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 593 yields:
% 39.97/10.13 | (594) all_90_3_104 = all_88_6_100
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (507,515) yields a new equation:
% 39.97/10.13 | (595) all_92_5_110 = all_84_5_85
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 595 yields:
% 39.97/10.13 | (596) all_92_5_110 = all_84_5_85
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (577,578) yields a new equation:
% 39.97/10.13 | (597) all_94_4_116 = all_92_4_109
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 597 yields:
% 39.97/10.13 | (598) all_94_4_116 = all_92_4_109
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (526,562) yields a new equation:
% 39.97/10.13 | (599) all_90_3_104 = all_86_6_93
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 599 yields:
% 39.97/10.13 | (600) all_90_3_104 = all_86_6_93
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (598,592) yields a new equation:
% 39.97/10.13 | (601) all_92_4_109 = all_18_4_27
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 601 yields:
% 39.97/10.13 | (602) all_92_4_109 = all_18_4_27
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (508,590) yields a new equation:
% 39.97/10.13 | (603) all_92_5_110 = all_88_5_99
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 603 yields:
% 39.97/10.13 | (604) all_92_5_110 = all_88_5_99
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (555,556) yields a new equation:
% 39.97/10.13 | (605) all_84_6_86 = all_78_3_73
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 605 yields:
% 39.97/10.13 | (606) all_84_6_86 = all_78_3_73
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (511,509) yields a new equation:
% 39.97/10.13 | (607) all_88_4_98 = all_86_4_91
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (596,509) yields a new equation:
% 39.97/10.13 | (608) all_88_4_98 = all_84_5_85
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (604,509) yields a new equation:
% 39.97/10.13 | (609) all_88_4_98 = all_88_5_99
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (527,574) yields a new equation:
% 39.97/10.13 | (610) all_90_3_104 = all_82_3_79
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 610 yields:
% 39.97/10.13 | (611) all_90_3_104 = all_82_3_79
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (488,584) yields a new equation:
% 39.97/10.13 | (612) all_90_2_103 = all_82_2_78
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 612 yields:
% 39.97/10.13 | (613) all_90_2_103 = all_82_2_78
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (532,594) yields a new equation:
% 39.97/10.13 | (614) all_88_6_100 = all_84_6_86
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (600,594) yields a new equation:
% 39.97/10.13 | (615) all_88_6_100 = all_86_6_93
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (611,594) yields a new equation:
% 39.97/10.13 | (616) all_88_6_100 = all_82_3_79
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (607,609) yields a new equation:
% 39.97/10.13 | (617) all_88_5_99 = all_86_4_91
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (608,609) yields a new equation:
% 39.97/10.13 | (618) all_88_5_99 = all_84_5_85
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (617,618) yields a new equation:
% 39.97/10.13 | (619) all_86_4_91 = all_84_5_85
% 39.97/10.13 |
% 39.97/10.13 | Simplifying 619 yields:
% 39.97/10.13 | (620) all_86_4_91 = all_84_5_85
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (614,615) yields a new equation:
% 39.97/10.13 | (621) all_86_6_93 = all_84_6_86
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (616,615) yields a new equation:
% 39.97/10.13 | (622) all_86_6_93 = all_82_3_79
% 39.97/10.13 |
% 39.97/10.13 | Combining equations (512,620) yields a new equation:
% 39.97/10.13 | (623) all_86_5_92 = all_84_5_85
% 39.97/10.14 |
% 39.97/10.14 | Simplifying 623 yields:
% 39.97/10.14 | (624) all_86_5_92 = all_84_5_85
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (514,624) yields a new equation:
% 39.97/10.14 | (625) all_84_4_84 = all_84_5_85
% 39.97/10.14 |
% 39.97/10.14 | Simplifying 625 yields:
% 39.97/10.14 | (626) all_84_4_84 = all_84_5_85
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (621,622) yields a new equation:
% 39.97/10.14 | (627) all_84_6_86 = all_82_3_79
% 39.97/10.14 |
% 39.97/10.14 | Simplifying 627 yields:
% 39.97/10.14 | (628) all_84_6_86 = all_82_3_79
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (513,626) yields a new equation:
% 39.97/10.14 | (629) all_84_5_85 = all_12_2_13
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (530,628) yields a new equation:
% 39.97/10.14 | (630) all_82_3_79 = 0
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (606,628) yields a new equation:
% 39.97/10.14 | (631) all_82_3_79 = all_78_3_73
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (630,631) yields a new equation:
% 39.97/10.14 | (632) all_78_3_73 = 0
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (632,631) yields a new equation:
% 39.97/10.14 | (630) all_82_3_79 = 0
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (630,622) yields a new equation:
% 39.97/10.14 | (634) all_86_6_93 = 0
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (634,615) yields a new equation:
% 39.97/10.14 | (635) all_88_6_100 = 0
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (635,580) yields a new equation:
% 39.97/10.14 | (636) all_102_3_140 = 0
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (582,566) yields a new equation:
% 39.97/10.14 | (540) all_102_1_138 = all_80_0_74
% 39.97/10.14 |
% 39.97/10.14 | Combining equations (581,537) yields a new equation:
% 39.97/10.14 | (536) all_102_0_137 = all_20_1_31
% 39.97/10.14 |
% 39.97/10.14 | From (613) and (370) follows:
% 39.97/10.14 | (337) is_aligned(all_4_9_10, all_4_7_8) = all_82_2_78
% 39.97/10.14 |
% 39.97/10.14 | From (490) and (332) follows:
% 39.97/10.14 | (292) is_aligned(all_4_9_10, all_4_8_9) = 0
% 39.97/10.14 |
% 39.97/10.14 | From (602) and (382) follows:
% 39.97/10.14 | (114) has_immunity(all_4_9_10, all_4_6_7) = all_18_4_27
% 39.97/10.14 |
% 39.97/10.14 | From (629) and (345) follows:
% 39.97/10.14 | (97) has_immunity(all_4_9_10, all_4_7_8) = all_12_2_13
% 39.97/10.14 |
% 39.97/10.14 | From (632) and (328) follows:
% 39.97/10.14 | (74) organization(all_4_9_10) = 0
% 39.97/10.14 |
% 39.97/10.14 | From (480) and (326) follows:
% 39.97/10.14 | (644) greater(all_4_4_5, sigma) = all_78_0_70
% 39.97/10.14 |
% 39.97/10.14 +-Applying beta-rule and splitting (331), into two cases.
% 39.97/10.14 |-Branch one:
% 39.97/10.14 | (645) ~ (all_80_0_74 = 0)
% 39.97/10.14 |
% 39.97/10.14 +-Applying beta-rule and splitting (319), into two cases.
% 39.97/10.14 |-Branch one:
% 39.97/10.14 | (646) ~ (has_immunity(all_4_9_10, all_4_6_7) = 0)
% 39.97/10.14 |
% 39.97/10.14 +-Applying beta-rule and splitting (320), into two cases.
% 39.97/10.14 |-Branch one:
% 39.97/10.14 | (647) ~ (has_immunity(all_4_9_10, all_4_7_8) = 0)
% 39.97/10.14 |
% 39.97/10.14 +-Applying beta-rule and splitting (535), into two cases.
% 39.97/10.14 |-Branch one:
% 39.97/10.14 | (648) ~ (greater(all_4_4_5, sigma) = all_78_0_70)
% 39.97/10.14 |
% 39.97/10.14 | Using (644) and (648) yields:
% 40.24/10.14 | (649) $false
% 40.24/10.14 |
% 40.24/10.14 |-The branch is then unsatisfiable
% 40.24/10.14 |-Branch two:
% 40.24/10.14 | (644) greater(all_4_4_5, sigma) = all_78_0_70
% 40.24/10.14 | (651) all_78_0_70 = all_34_1_60
% 40.24/10.14 |
% 40.24/10.14 | From (651) and (644) follows:
% 40.24/10.14 | (162) greater(all_4_4_5, sigma) = all_34_1_60
% 40.24/10.14 |
% 40.24/10.14 | Using (114) and (646) yields:
% 40.24/10.14 | (653) ~ (all_18_4_27 = 0)
% 40.24/10.14 |
% 40.24/10.14 | Using (97) and (647) yields:
% 40.24/10.14 | (654) ~ (all_12_2_13 = 0)
% 40.24/10.14 |
% 40.24/10.14 +-Applying beta-rule and splitting (121), into two cases.
% 40.24/10.14 |-Branch one:
% 40.24/10.14 | (655) ~ (all_20_1_31 = 0)
% 40.24/10.14 |
% 40.24/10.14 +-Applying beta-rule and splitting (421), into two cases.
% 40.24/10.14 |-Branch one:
% 40.24/10.14 | (656) ~ (all_102_2_139 = 0)
% 40.24/10.14 |
% 40.24/10.14 | Equations (564) can reduce 656 to:
% 40.24/10.14 | (657) ~ (all_82_2_78 = 0)
% 40.24/10.14 |
% 40.24/10.14 +-Applying beta-rule and splitting (317), into two cases.
% 40.24/10.14 |-Branch one:
% 40.24/10.14 | (658) all_34_0_59 = 0
% 40.24/10.14 |
% 40.24/10.14 +-Applying beta-rule and splitting (163), into two cases.
% 40.24/10.14 |-Branch one:
% 40.24/10.14 | (659) ~ (all_34_2_61 = 0)
% 40.24/10.14 |
% 40.24/10.14 | Equations (274) can reduce 659 to:
% 40.24/10.14 | (175) $false
% 40.24/10.14 |
% 40.24/10.14 |-The branch is then unsatisfiable
% 40.24/10.14 |-Branch two:
% 40.24/10.14 | (274) all_34_2_61 = 0
% 40.24/10.14 | (662) ( ~ (all_34_0_59 = 0) | all_34_1_60 = 0) & ( ~ (all_34_1_60 = 0) | all_34_0_59 = 0)
% 40.24/10.14 |
% 40.24/10.14 | Applying alpha-rule on (662) yields:
% 40.24/10.14 | (663) ~ (all_34_0_59 = 0) | all_34_1_60 = 0
% 40.24/10.14 | (664) ~ (all_34_1_60 = 0) | all_34_0_59 = 0
% 40.24/10.14 |
% 40.24/10.14 +-Applying beta-rule and splitting (663), into two cases.
% 40.24/10.14 |-Branch one:
% 40.24/10.14 | (665) ~ (all_34_0_59 = 0)
% 40.24/10.14 |
% 40.24/10.14 | Equations (658) can reduce 665 to:
% 40.24/10.14 | (175) $false
% 40.24/10.14 |
% 40.24/10.14 |-The branch is then unsatisfiable
% 40.24/10.14 |-Branch two:
% 40.24/10.14 | (658) all_34_0_59 = 0
% 40.24/10.14 | (668) all_34_1_60 = 0
% 40.24/10.14 |
% 40.24/10.14 | From (668) and (162) follows:
% 40.24/10.14 | (669) greater(all_4_4_5, sigma) = 0
% 40.24/10.14 |
% 40.24/10.14 +-Applying beta-rule and splitting (321), into two cases.
% 40.24/10.14 |-Branch one:
% 40.24/10.14 | (670) ~ (greater(all_4_4_5, sigma) = 0)
% 40.24/10.14 |
% 40.24/10.14 | Using (669) and (670) yields:
% 40.24/10.14 | (649) $false
% 40.24/10.14 |
% 40.24/10.14 |-The branch is then unsatisfiable
% 40.24/10.14 |-Branch two:
% 40.24/10.14 | (669) greater(all_4_4_5, sigma) = 0
% 40.24/10.14 | (673) smaller(sigma, all_4_4_5) = 0
% 40.24/10.14 |
% 40.24/10.14 +-Applying beta-rule and splitting (323), into two cases.
% 40.24/10.14 |-Branch one:
% 40.24/10.14 | (670) ~ (greater(all_4_4_5, sigma) = 0)
% 40.24/10.14 |
% 40.24/10.14 | Using (669) and (670) yields:
% 40.24/10.14 | (649) $false
% 40.24/10.14 |
% 40.24/10.14 |-The branch is then unsatisfiable
% 40.24/10.14 |-Branch two:
% 40.24/10.14 | (669) greater(all_4_4_5, sigma) = 0
% 40.24/10.14 | (677) all_16_0_22 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(zero, all_4_4_5) = v0)
% 40.24/10.14 |
% 40.24/10.14 +-Applying beta-rule and splitting (322), into two cases.
% 40.24/10.14 |-Branch one:
% 40.24/10.14 | (670) ~ (greater(all_4_4_5, sigma) = 0)
% 40.24/10.14 |
% 40.24/10.14 | Using (669) and (670) yields:
% 40.24/10.14 | (649) $false
% 40.24/10.14 |
% 40.24/10.14 |-The branch is then unsatisfiable
% 40.24/10.14 |-Branch two:
% 40.24/10.14 | (669) greater(all_4_4_5, sigma) = 0
% 40.24/10.14 | (681) ? [v0] : ( ~ (v0 = 0) & greater(sigma, all_4_4_5) = v0)
% 40.24/10.14 |
% 40.24/10.14 | Instantiating (681) with all_313_0_191 yields:
% 40.24/10.14 | (682) ~ (all_313_0_191 = 0) & greater(sigma, all_4_4_5) = all_313_0_191
% 40.24/10.14 |
% 40.24/10.14 | Applying alpha-rule on (682) yields:
% 40.24/10.14 | (683) ~ (all_313_0_191 = 0)
% 40.24/10.14 | (684) greater(sigma, all_4_4_5) = all_313_0_191
% 40.24/10.14 |
% 40.24/10.14 | Instantiating formula (30) with all_313_0_191, sigma, all_4_4_5 and discharging atoms greater(sigma, all_4_4_5) = all_313_0_191, yields:
% 40.24/10.14 | (685) all_313_0_191 = 0 | ? [v0] : ( ~ (v0 = 0) & smaller(all_4_4_5, sigma) = v0)
% 40.24/10.14 |
% 40.24/10.14 +-Applying beta-rule and splitting (685), into two cases.
% 40.24/10.14 |-Branch one:
% 40.24/10.14 | (686) all_313_0_191 = 0
% 40.24/10.14 |
% 40.24/10.14 | Equations (686) can reduce 683 to:
% 40.24/10.14 | (175) $false
% 40.24/10.14 |
% 40.24/10.14 |-The branch is then unsatisfiable
% 40.24/10.14 |-Branch two:
% 40.24/10.14 | (683) ~ (all_313_0_191 = 0)
% 40.24/10.14 | (689) ? [v0] : ( ~ (v0 = 0) & smaller(all_4_4_5, sigma) = v0)
% 40.24/10.14 |
% 40.24/10.14 | Instantiating (689) with all_467_0_339 yields:
% 40.24/10.14 | (690) ~ (all_467_0_339 = 0) & smaller(all_4_4_5, sigma) = all_467_0_339
% 40.24/10.14 |
% 40.24/10.14 | Applying alpha-rule on (690) yields:
% 40.24/10.14 | (691) ~ (all_467_0_339 = 0)
% 40.24/10.14 | (692) smaller(all_4_4_5, sigma) = all_467_0_339
% 40.24/10.14 |
% 40.24/10.14 +-Applying beta-rule and splitting (91), into two cases.
% 40.24/10.14 |-Branch one:
% 40.24/10.14 | (693) smaller(all_4_4_5, sigma) = 0
% 40.24/10.14 |
% 40.24/10.14 | Instantiating formula (7) with all_4_4_5, sigma, 0, all_467_0_339 and discharging atoms smaller(all_4_4_5, sigma) = all_467_0_339, smaller(all_4_4_5, sigma) = 0, yields:
% 40.24/10.14 | (694) all_467_0_339 = 0
% 40.24/10.14 |
% 40.24/10.14 | Equations (694) can reduce 691 to:
% 40.24/10.14 | (175) $false
% 40.24/10.14 |
% 40.24/10.14 |-The branch is then unsatisfiable
% 40.24/10.14 |-Branch two:
% 40.24/10.14 | (696) ~ (smaller(all_4_4_5, sigma) = 0)
% 40.24/10.14 | (697) all_4_4_5 = sigma
% 40.24/10.14 |
% 40.24/10.14 | From (697) and (673) follows:
% 40.24/10.14 | (698) smaller(sigma, sigma) = 0
% 40.24/10.15 |
% 40.24/10.15 | From (697) and (696) follows:
% 40.24/10.15 | (699) ~ (smaller(sigma, sigma) = 0)
% 40.24/10.15 |
% 40.24/10.15 | Using (698) and (699) yields:
% 40.24/10.15 | (649) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (665) ~ (all_34_0_59 = 0)
% 40.24/10.15 | (702) ? [v0] : ? [v1] : ? [v2] : (is_aligned(all_4_9_10, all_4_7_8) = v2 & is_aligned(all_4_9_10, all_4_8_9) = v1 & organization(all_4_9_10) = v0 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 40.24/10.15 |
% 40.24/10.15 | Instantiating (702) with all_267_0_356, all_267_1_357, all_267_2_358 yields:
% 40.24/10.15 | (703) is_aligned(all_4_9_10, all_4_7_8) = all_267_0_356 & is_aligned(all_4_9_10, all_4_8_9) = all_267_1_357 & organization(all_4_9_10) = all_267_2_358 & ( ~ (all_267_2_358 = 0) | (( ~ (all_267_0_356 = 0) | all_267_1_357 = 0) & ( ~ (all_267_1_357 = 0) | all_267_0_356 = 0)))
% 40.24/10.15 |
% 40.24/10.15 | Applying alpha-rule on (703) yields:
% 40.24/10.15 | (704) is_aligned(all_4_9_10, all_4_7_8) = all_267_0_356
% 40.24/10.15 | (705) is_aligned(all_4_9_10, all_4_8_9) = all_267_1_357
% 40.24/10.15 | (706) organization(all_4_9_10) = all_267_2_358
% 40.24/10.15 | (707) ~ (all_267_2_358 = 0) | (( ~ (all_267_0_356 = 0) | all_267_1_357 = 0) & ( ~ (all_267_1_357 = 0) | all_267_0_356 = 0))
% 40.24/10.15 |
% 40.24/10.15 +-Applying beta-rule and splitting (491), into two cases.
% 40.24/10.15 |-Branch one:
% 40.24/10.15 | (708) ~ (is_aligned(all_4_9_10, all_4_8_9) = all_82_2_78)
% 40.24/10.15 |
% 40.24/10.15 | Instantiating formula (8) with all_4_9_10, all_4_7_8, all_267_0_356, all_82_2_78 and discharging atoms is_aligned(all_4_9_10, all_4_7_8) = all_267_0_356, is_aligned(all_4_9_10, all_4_7_8) = all_82_2_78, yields:
% 40.24/10.15 | (709) all_267_0_356 = all_82_2_78
% 40.24/10.15 |
% 40.24/10.15 | Instantiating formula (8) with all_4_9_10, all_4_8_9, all_267_1_357, 0 and discharging atoms is_aligned(all_4_9_10, all_4_8_9) = all_267_1_357, is_aligned(all_4_9_10, all_4_8_9) = 0, yields:
% 40.24/10.15 | (710) all_267_1_357 = 0
% 40.24/10.15 |
% 40.24/10.15 | Instantiating formula (10) with all_4_9_10, all_267_2_358, 0 and discharging atoms organization(all_4_9_10) = all_267_2_358, organization(all_4_9_10) = 0, yields:
% 40.24/10.15 | (711) all_267_2_358 = 0
% 40.24/10.15 |
% 40.24/10.15 | Using (705) and (708) yields:
% 40.24/10.15 | (712) ~ (all_267_1_357 = all_82_2_78)
% 40.24/10.15 |
% 40.24/10.15 | Equations (710) can reduce 712 to:
% 40.24/10.15 | (713) ~ (all_82_2_78 = 0)
% 40.24/10.15 |
% 40.24/10.15 | Simplifying 713 yields:
% 40.24/10.15 | (657) ~ (all_82_2_78 = 0)
% 40.24/10.15 |
% 40.24/10.15 +-Applying beta-rule and splitting (707), into two cases.
% 40.24/10.15 |-Branch one:
% 40.24/10.15 | (715) ~ (all_267_2_358 = 0)
% 40.24/10.15 |
% 40.24/10.15 | Equations (711) can reduce 715 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (711) all_267_2_358 = 0
% 40.24/10.15 | (718) ( ~ (all_267_0_356 = 0) | all_267_1_357 = 0) & ( ~ (all_267_1_357 = 0) | all_267_0_356 = 0)
% 40.24/10.15 |
% 40.24/10.15 | Applying alpha-rule on (718) yields:
% 40.24/10.15 | (719) ~ (all_267_0_356 = 0) | all_267_1_357 = 0
% 40.24/10.15 | (720) ~ (all_267_1_357 = 0) | all_267_0_356 = 0
% 40.24/10.15 |
% 40.24/10.15 +-Applying beta-rule and splitting (720), into two cases.
% 40.24/10.15 |-Branch one:
% 40.24/10.15 | (721) ~ (all_267_1_357 = 0)
% 40.24/10.15 |
% 40.24/10.15 | Equations (710) can reduce 721 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (710) all_267_1_357 = 0
% 40.24/10.15 | (724) all_267_0_356 = 0
% 40.24/10.15 |
% 40.24/10.15 | Combining equations (724,709) yields a new equation:
% 40.24/10.15 | (725) all_82_2_78 = 0
% 40.24/10.15 |
% 40.24/10.15 | Equations (725) can reduce 657 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (727) is_aligned(all_4_9_10, all_4_8_9) = all_82_2_78
% 40.24/10.15 | (728) all_82_2_78 = all_80_1_75
% 40.24/10.15 |
% 40.24/10.15 | Combining equations (490,728) yields a new equation:
% 40.24/10.15 | (725) all_82_2_78 = 0
% 40.24/10.15 |
% 40.24/10.15 | Equations (725) can reduce 657 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (731) all_102_2_139 = 0
% 40.24/10.15 | (732) ~ (all_102_3_140 = 0) | all_102_0_137 = 0 | all_102_1_138 = 0
% 40.24/10.15 |
% 40.24/10.15 +-Applying beta-rule and splitting (732), into two cases.
% 40.24/10.15 |-Branch one:
% 40.24/10.15 | (733) ~ (all_102_3_140 = 0)
% 40.24/10.15 |
% 40.24/10.15 | Equations (636) can reduce 733 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (636) all_102_3_140 = 0
% 40.24/10.15 | (736) all_102_0_137 = 0 | all_102_1_138 = 0
% 40.24/10.15 |
% 40.24/10.15 +-Applying beta-rule and splitting (736), into two cases.
% 40.24/10.15 |-Branch one:
% 40.24/10.15 | (737) all_102_0_137 = 0
% 40.24/10.15 |
% 40.24/10.15 | Combining equations (536,737) yields a new equation:
% 40.24/10.15 | (738) all_20_1_31 = 0
% 40.24/10.15 |
% 40.24/10.15 | Simplifying 738 yields:
% 40.24/10.15 | (739) all_20_1_31 = 0
% 40.24/10.15 |
% 40.24/10.15 | Equations (739) can reduce 655 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (741) ~ (all_102_0_137 = 0)
% 40.24/10.15 | (742) all_102_1_138 = 0
% 40.24/10.15 |
% 40.24/10.15 | Combining equations (540,742) yields a new equation:
% 40.24/10.15 | (743) all_80_0_74 = 0
% 40.24/10.15 |
% 40.24/10.15 | Simplifying 743 yields:
% 40.24/10.15 | (744) all_80_0_74 = 0
% 40.24/10.15 |
% 40.24/10.15 | Equations (744) can reduce 645 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (739) all_20_1_31 = 0
% 40.24/10.15 | (747) ~ (all_20_6_36 = 0) | all_20_0_30 = 0 | all_20_4_34 = 0 | all_20_5_35 = 0
% 40.24/10.15 |
% 40.24/10.15 +-Applying beta-rule and splitting (747), into two cases.
% 40.24/10.15 |-Branch one:
% 40.24/10.15 | (748) ~ (all_20_6_36 = 0)
% 40.24/10.15 |
% 40.24/10.15 | Equations (248) can reduce 748 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (248) all_20_6_36 = 0
% 40.24/10.15 | (751) all_20_0_30 = 0 | all_20_4_34 = 0 | all_20_5_35 = 0
% 40.24/10.15 |
% 40.24/10.15 +-Applying beta-rule and splitting (751), into two cases.
% 40.24/10.15 |-Branch one:
% 40.24/10.15 | (752) all_20_0_30 = 0
% 40.24/10.15 |
% 40.24/10.15 | Combining equations (752,249) yields a new equation:
% 40.24/10.15 | (174) all_4_0_1 = 0
% 40.24/10.15 |
% 40.24/10.15 | Equations (174) can reduce 67 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (755) ~ (all_20_0_30 = 0)
% 40.24/10.15 | (756) all_20_4_34 = 0 | all_20_5_35 = 0
% 40.24/10.15 |
% 40.24/10.15 +-Applying beta-rule and splitting (756), into two cases.
% 40.24/10.15 |-Branch one:
% 40.24/10.15 | (757) all_20_4_34 = 0
% 40.24/10.15 |
% 40.24/10.15 | Combining equations (269,757) yields a new equation:
% 40.24/10.15 | (758) all_12_2_13 = 0
% 40.24/10.15 |
% 40.24/10.15 | Simplifying 758 yields:
% 40.24/10.15 | (759) all_12_2_13 = 0
% 40.24/10.15 |
% 40.24/10.15 | Equations (759) can reduce 654 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (761) ~ (all_20_4_34 = 0)
% 40.24/10.15 | (762) all_20_5_35 = 0
% 40.24/10.15 |
% 40.24/10.15 | Combining equations (762,250) yields a new equation:
% 40.24/10.15 | (763) all_18_4_27 = 0
% 40.24/10.15 |
% 40.24/10.15 | Equations (763) can reduce 653 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (765) has_immunity(all_4_9_10, all_4_7_8) = 0
% 40.24/10.15 | (766) ? [v0] : ? [v1] : (organization(all_4_9_10) = v0 & has_endowment(all_4_9_10) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 40.24/10.15 |
% 40.24/10.15 | Instantiating (766) with all_203_0_365, all_203_1_366 yields:
% 40.24/10.15 | (767) organization(all_4_9_10) = all_203_1_366 & has_endowment(all_4_9_10) = all_203_0_365 & ( ~ (all_203_1_366 = 0) | all_203_0_365 = 0)
% 40.24/10.15 |
% 40.24/10.15 | Applying alpha-rule on (767) yields:
% 40.24/10.15 | (768) organization(all_4_9_10) = all_203_1_366
% 40.24/10.15 | (769) has_endowment(all_4_9_10) = all_203_0_365
% 40.24/10.15 | (770) ~ (all_203_1_366 = 0) | all_203_0_365 = 0
% 40.24/10.15 |
% 40.24/10.15 | Instantiating formula (10) with all_4_9_10, all_203_1_366, 0 and discharging atoms organization(all_4_9_10) = all_203_1_366, organization(all_4_9_10) = 0, yields:
% 40.24/10.15 | (771) all_203_1_366 = 0
% 40.24/10.15 |
% 40.24/10.15 | Instantiating formula (4) with all_4_9_10, all_203_0_365, all_4_5_6 and discharging atoms has_endowment(all_4_9_10) = all_203_0_365, has_endowment(all_4_9_10) = all_4_5_6, yields:
% 40.24/10.15 | (772) all_203_0_365 = all_4_5_6
% 40.24/10.15 |
% 40.24/10.15 +-Applying beta-rule and splitting (770), into two cases.
% 40.24/10.15 |-Branch one:
% 40.24/10.15 | (773) ~ (all_203_1_366 = 0)
% 40.24/10.15 |
% 40.24/10.15 | Equations (771) can reduce 773 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.15 | (771) all_203_1_366 = 0
% 40.24/10.15 | (776) all_203_0_365 = 0
% 40.24/10.15 |
% 40.24/10.15 | Combining equations (776,772) yields a new equation:
% 40.24/10.15 | (777) all_4_5_6 = 0
% 40.24/10.15 |
% 40.24/10.15 | Equations (777) can reduce 72 to:
% 40.24/10.15 | (175) $false
% 40.24/10.15 |
% 40.24/10.15 |-The branch is then unsatisfiable
% 40.24/10.15 |-Branch two:
% 40.24/10.16 | (779) has_immunity(all_4_9_10, all_4_6_7) = 0
% 40.24/10.16 | (766) ? [v0] : ? [v1] : (organization(all_4_9_10) = v0 & has_endowment(all_4_9_10) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 40.24/10.16 |
% 40.24/10.16 | Instantiating (766) with all_199_0_369, all_199_1_370 yields:
% 40.24/10.16 | (781) organization(all_4_9_10) = all_199_1_370 & has_endowment(all_4_9_10) = all_199_0_369 & ( ~ (all_199_1_370 = 0) | all_199_0_369 = 0)
% 40.24/10.16 |
% 40.24/10.16 | Applying alpha-rule on (781) yields:
% 40.24/10.16 | (782) organization(all_4_9_10) = all_199_1_370
% 40.24/10.16 | (783) has_endowment(all_4_9_10) = all_199_0_369
% 40.24/10.16 | (784) ~ (all_199_1_370 = 0) | all_199_0_369 = 0
% 40.24/10.16 |
% 40.24/10.16 | Instantiating formula (10) with all_4_9_10, all_199_1_370, 0 and discharging atoms organization(all_4_9_10) = all_199_1_370, organization(all_4_9_10) = 0, yields:
% 40.24/10.16 | (785) all_199_1_370 = 0
% 40.24/10.16 |
% 40.24/10.16 | Instantiating formula (4) with all_4_9_10, all_199_0_369, all_4_5_6 and discharging atoms has_endowment(all_4_9_10) = all_199_0_369, has_endowment(all_4_9_10) = all_4_5_6, yields:
% 40.24/10.16 | (786) all_199_0_369 = all_4_5_6
% 40.24/10.16 |
% 40.24/10.16 +-Applying beta-rule and splitting (784), into two cases.
% 40.24/10.16 |-Branch one:
% 40.24/10.16 | (787) ~ (all_199_1_370 = 0)
% 40.24/10.16 |
% 40.24/10.16 | Equations (785) can reduce 787 to:
% 40.24/10.16 | (175) $false
% 40.24/10.16 |
% 40.24/10.16 |-The branch is then unsatisfiable
% 40.24/10.16 |-Branch two:
% 40.24/10.16 | (785) all_199_1_370 = 0
% 40.24/10.16 | (790) all_199_0_369 = 0
% 40.24/10.16 |
% 40.24/10.16 | Combining equations (790,786) yields a new equation:
% 40.24/10.16 | (777) all_4_5_6 = 0
% 40.24/10.16 |
% 40.33/10.16 | Equations (777) can reduce 72 to:
% 40.33/10.16 | (175) $false
% 40.33/10.16 |
% 40.33/10.16 |-The branch is then unsatisfiable
% 40.33/10.16 |-Branch two:
% 40.33/10.16 | (744) all_80_0_74 = 0
% 40.33/10.16 | (794) ~ (all_80_1_75 = 0)
% 40.33/10.16 |
% 40.33/10.16 | Equations (490) can reduce 794 to:
% 40.33/10.16 | (175) $false
% 40.33/10.16 |
% 40.33/10.16 |-The branch is then unsatisfiable
% 40.33/10.16 % SZS output end Proof for theBenchmark
% 40.33/10.16
% 40.33/10.16 9543ms
%------------------------------------------------------------------------------