TSTP Solution File: MGT062+1 by ePrincess---1.0
View Problem
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT062+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:07:15 EDT 2022
% Result : Theorem 15.34s 4.20s
% Output : Proof 22.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT062+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 08:45:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.57 ____ _
% 0.58/0.57 ___ / __ \_____(_)___ ________ __________
% 0.58/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.57
% 0.58/0.57 A Theorem Prover for First-Order Logic
% 0.58/0.57 (ePrincess v.1.0)
% 0.58/0.57
% 0.58/0.57 (c) Philipp Rümmer, 2009-2015
% 0.58/0.57 (c) Peter Backeman, 2014-2015
% 0.58/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.57 Bug reports to peter@backeman.se
% 0.58/0.57
% 0.58/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.57
% 0.58/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.62/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.76/0.95 Prover 0: Preprocessing ...
% 2.11/1.15 Prover 0: Warning: ignoring some quantifiers
% 2.36/1.17 Prover 0: Constructing countermodel ...
% 4.39/1.64 Prover 0: gave up
% 4.39/1.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.39/1.67 Prover 1: Preprocessing ...
% 4.85/1.76 Prover 1: Constructing countermodel ...
% 5.54/1.94 Prover 1: gave up
% 5.54/1.94 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 5.54/1.96 Prover 2: Preprocessing ...
% 6.15/2.06 Prover 2: Warning: ignoring some quantifiers
% 6.15/2.06 Prover 2: Constructing countermodel ...
% 8.36/2.57 Prover 2: gave up
% 8.36/2.57 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 8.36/2.60 Prover 3: Preprocessing ...
% 8.77/2.62 Prover 3: Warning: ignoring some quantifiers
% 8.77/2.62 Prover 3: Constructing countermodel ...
% 9.64/2.85 Prover 3: gave up
% 9.64/2.85 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 9.64/2.87 Prover 4: Preprocessing ...
% 10.10/2.95 Prover 4: Warning: ignoring some quantifiers
% 10.10/2.95 Prover 4: Constructing countermodel ...
% 14.39/3.96 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 14.39/3.99 Prover 5: Preprocessing ...
% 14.76/4.07 Prover 5: Constructing countermodel ...
% 15.34/4.20 Prover 5: proved (238ms)
% 15.34/4.20 Prover 4: stopped
% 15.34/4.20
% 15.34/4.20 No countermodel exists, formula is valid
% 15.34/4.20 % SZS status Theorem for theBenchmark
% 15.34/4.20
% 15.34/4.20 Generating proof ... found it (size 466)
% 21.20/5.59
% 21.20/5.59 % SZS output start Proof for theBenchmark
% 21.20/5.59 Assumed formulas after preprocessing and simplification:
% 21.20/5.59 | (0) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (dissimilar(v4, v3, v2) = v1) | ~ (dissimilar(v4, 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 | ~ (positional_advantage(v3, v2) = v1) | ~ (positional_advantage(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 | ~ (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 | ~ (robust_position(v2) = v1) | ~ (robust_position(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] : ? [v1] : (greater(mod2, mod1) = 0 & greater(tau, zero) = v1 & greater(sigma, zero) = v0 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (is_aligned(v2, v4) = v6) | ~ (is_aligned(v2, v3) = v5) | ? [v7] : ? [v8] : (dissimilar(v2, v3, v4) = v8 & organization(v2) = v7 & ( ~ (v7 = 0) | v8 = 0)) | (( ~ (v6 = 0) | v5 = 0) & ( ~ (v5 = 0) | v6 = 0))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (is_aligned(v2, v4) = v6) | ~ (is_aligned(v2, v3) = v5) | ? [v7] : ? [v8] : (dissimilar(v2, v3, v4) = v7 & organization(v2) = v8 & ( ~ (v7 = 0) | (v8 = 0 & ( ~ (v6 = 0) | ~ (v5 = 0)) & (v6 = 0 | v5 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (dissimilar(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (is_aligned(v2, v4) = v8 & is_aligned(v2, v3) = v7 & organization(v2) = v6 & ( ~ (v6 = 0) | (( ~ (v8 = 0) | v7 = 0) & ( ~ (v7 = 0) | v8 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (greater(v3, v4) = 0) | ~ (greater(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & greater(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (greater(v2, v4) = v5) | ~ (greater(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & greater(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (age(v2, v4) = v5) | ~ (age(v2, v3) = zero) | ? [v6] : ? [v7] : ? [v8] : (dissimilar(v2, v3, v4) = v8 & organization(v2) = v6 & greater(v5, sigma) = v7 & ( ~ (v6 = 0) | (( ~ (v8 = 0) | v7 = 0) & ( ~ (v7 = 0) | v8 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (dissimilar(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (age(v2, v4) = v8 & age(v2, v3) = v7 & organization(v2) = v6 & greater(v8, sigma) = v9 & ( ~ (v7 = zero) | ~ (v6 = 0) | (( ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | v9 = 0))))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (greater(v2, v3) = v4) | smaller(v2, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (greater(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & greater_or_equal(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (smaller(v2, v3) = v4) | greater(v2, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (smaller(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & smaller_or_equal(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (is_aligned(v2, v3) = v4) | ? [v5] : ? [v6] : (age(v2, v3) = v6 & organization(v2) = v5 & ( ~ (v6 = zero) | ~ (v5 = 0)))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater(v3, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & smaller(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater_or_equal(v2, v3) = v4) | ( ~ (v3 = v2) & ? [v5] : ( ~ (v5 = 0) & greater(v2, v3) = v5))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (smaller(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & greater(v3, v2) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (smaller_or_equal(v2, v3) = v4) | ( ~ (v3 = v2) & ? [v5] : ( ~ (v5 = 0) & smaller(v2, v3) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (hazard_of_mortality(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (positional_advantage(v2, v3) = v8 & is_aligned(v2, v3) = v7 & has_immunity(v2, v3) = v6 & organization(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | v4 = very_low) & (v6 = 0 | (( ~ (v8 = 0) | (( ~ (v7 = 0) | v4 = low) & (v7 = 0 | v4 = mod1))) & ( ~ (v7 = 0) | v8 = 0 | v4 = mod2) & (v8 = 0 | v7 = 0 | v4 = high))))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (positional_advantage(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v2, v3) = v7 & is_aligned(v2, v3) = v8 & has_immunity(v2, v3) = v6 & organization(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | v7 = very_low) & (v6 = 0 | (( ~ (v8 = 0) | v7 = mod2 | v4 = 0) & ( ~ (v4 = 0) | (( ~ (v8 = 0) | v7 = low) & (v8 = 0 | v7 = mod1))) & (v8 = 0 | v7 = high | v4 = 0))))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (is_aligned(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v2, v3) = v7 & positional_advantage(v2, v3) = v8 & has_immunity(v2, v3) = v6 & organization(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | v7 = very_low) & (v6 = 0 | (( ~ (v8 = 0) | (( ~ (v4 = 0) | v7 = low) & (v7 = mod1 | v4 = 0))) & ( ~ (v4 = 0) | v8 = 0 | v7 = mod2) & (v8 = 0 | v7 = high | v4 = 0))))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (dissimilar(v2, v3, v4) = 0) | ? [v5] : ? [v6] : (is_aligned(v2, v4) = v6 & is_aligned(v2, v3) = v5 & organization(v2) = 0 & ( ~ (v6 = 0) | ~ (v5 = 0)) & (v6 = 0 | v5 = 0))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (has_immunity(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v2, v3) = v6 & positional_advantage(v2, v3) = v8 & is_aligned(v2, v3) = v7 & organization(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = very_low) & (v4 = 0 | (( ~ (v8 = 0) | (( ~ (v7 = 0) | v6 = low) & (v7 = 0 | v6 = mod1))) & ( ~ (v7 = 0) | v8 = 0 | v6 = mod2) & (v8 = 0 | v7 = 0 | v6 = high))))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (greater(v3, v4) = 0) | ~ (greater(v2, v3) = 0) | greater(v2, v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (greater(v2, v3) = v4) | greater_or_equal(v2, v3) = 0 | ( ~ (v4 = 0) & ~ (v3 = v2))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (smaller(v2, v3) = v4) | smaller_or_equal(v2, v3) = 0 | ( ~ (v4 = 0) & ~ (v3 = v2))) & ! [v2] : ! [v3] : (v3 = v2 | ~ (greater_or_equal(v2, v3) = 0) | greater(v2, v3) = 0) & ! [v2] : ! [v3] : (v3 = v2 | ~ (smaller_or_equal(v2, v3) = 0) | smaller(v2, v3) = 0) & ! [v2] : ! [v3] : (v3 = 0 | ~ (robust_position(v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (positional_advantage(v2, v4) = v7 & age(v2, v4) = v5 & greater(v5, tau) = v8 & smaller_or_equal(v5, tau) = v6 & ((v8 = 0 & ~ (v7 = 0)) | (v7 = 0 & v6 = 0)))) & ! [v2] : ! [v3] : ( ~ (age(v2, v3) = zero) | ? [v4] : ? [v5] : (is_aligned(v2, v3) = v5 & organization(v2) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (has_immunity(v2, v3) = 0) | ? [v4] : ? [v5] : (organization(v2) = v4 & has_endowment(v2) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (greater(v3, v2) = 0) | smaller(v2, v3) = 0) & ! [v2] : ! [v3] : ( ~ (greater(v3, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v2, v3) = v4)) & ! [v2] : ! [v3] : ( ~ (greater(v2, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v3, v2) = v4)) & ! [v2] : ! [v3] : ( ~ (smaller(v2, v3) = 0) | greater(v3, v2) = 0) & ! [v2] : ( ~ (robust_position(v2) = 0) | ( ! [v3] : ! [v4] : (v4 = 0 | ~ (positional_advantage(v2, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & age(v2, v3) = v5 & greater(v5, tau) = v6)) & ! [v3] : ! [v4] : ( ~ (age(v2, v3) = v4) | ? [v5] : ? [v6] : (positional_advantage(v2, v3) = v6 & greater(v4, tau) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v3] : ! [v4] : ( ~ (age(v2, v3) = v4) | ? [v5] : ? [v6] : (positional_advantage(v2, v3) = v6 & smaller_or_equal(v4, tau) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v3] : ( ~ (positional_advantage(v2, v3) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & age(v2, v3) = v4 & smaller_or_equal(v4, tau) = v5)))) & ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (v1 = 0 & v0 = 0 & tau = sigma & ~ (v6 = 0) & hazard_of_mortality(v2, v5) = v9 & hazard_of_mortality(v2, v4) = v10 & hazard_of_mortality(v2, v3) = v12 & robust_position(v2) = 0 & age(v2, v5) = v8 & age(v2, v4) = v7 & age(v2, v3) = zero & organization(v2) = 0 & has_endowment(v2) = v6 & greater(v8, sigma) = 0 & smaller(v9, v10) = v11 & smaller_or_equal(v7, sigma) = 0 & ( ~ (v12 = v10) | ~ (v11 = 0))))
% 21.53/5.63 | Applying alpha-rule on (0) yields:
% 21.53/5.63 | (1) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (robust_position(v2) = v1) | ~ (robust_position(v2) = v0))
% 21.53/5.64 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (dissimilar(v4, v3, v2) = v1) | ~ (dissimilar(v4, v3, v2) = v0))
% 21.53/5.64 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (age(v3, v2) = v1) | ~ (age(v3, v2) = v0))
% 21.53/5.64 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0))
% 21.53/5.64 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0))
% 21.53/5.64 | (6) ? [v0] : ? [v1] : (greater(mod2, mod1) = 0 & greater(tau, zero) = v1 & greater(sigma, zero) = v0 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (is_aligned(v2, v4) = v6) | ~ (is_aligned(v2, v3) = v5) | ? [v7] : ? [v8] : (dissimilar(v2, v3, v4) = v8 & organization(v2) = v7 & ( ~ (v7 = 0) | v8 = 0)) | (( ~ (v6 = 0) | v5 = 0) & ( ~ (v5 = 0) | v6 = 0))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (is_aligned(v2, v4) = v6) | ~ (is_aligned(v2, v3) = v5) | ? [v7] : ? [v8] : (dissimilar(v2, v3, v4) = v7 & organization(v2) = v8 & ( ~ (v7 = 0) | (v8 = 0 & ( ~ (v6 = 0) | ~ (v5 = 0)) & (v6 = 0 | v5 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (dissimilar(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (is_aligned(v2, v4) = v8 & is_aligned(v2, v3) = v7 & organization(v2) = v6 & ( ~ (v6 = 0) | (( ~ (v8 = 0) | v7 = 0) & ( ~ (v7 = 0) | v8 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (greater(v3, v4) = 0) | ~ (greater(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & greater(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (greater(v2, v4) = v5) | ~ (greater(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & greater(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (age(v2, v4) = v5) | ~ (age(v2, v3) = zero) | ? [v6] : ? [v7] : ? [v8] : (dissimilar(v2, v3, v4) = v8 & organization(v2) = v6 & greater(v5, sigma) = v7 & ( ~ (v6 = 0) | (( ~ (v8 = 0) | v7 = 0) & ( ~ (v7 = 0) | v8 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (dissimilar(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (age(v2, v4) = v8 & age(v2, v3) = v7 & organization(v2) = v6 & greater(v8, sigma) = v9 & ( ~ (v7 = zero) | ~ (v6 = 0) | (( ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | v9 = 0))))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (greater(v2, v3) = v4) | smaller(v2, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (greater(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & greater_or_equal(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (smaller(v2, v3) = v4) | greater(v2, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (smaller(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & smaller_or_equal(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (is_aligned(v2, v3) = v4) | ? [v5] : ? [v6] : (age(v2, v3) = v6 & organization(v2) = v5 & ( ~ (v6 = zero) | ~ (v5 = 0)))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater(v3, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & smaller(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater_or_equal(v2, v3) = v4) | ( ~ (v3 = v2) & ? [v5] : ( ~ (v5 = 0) & greater(v2, v3) = v5))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (smaller(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & greater(v3, v2) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (smaller_or_equal(v2, v3) = v4) | ( ~ (v3 = v2) & ? [v5] : ( ~ (v5 = 0) & smaller(v2, v3) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (hazard_of_mortality(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (positional_advantage(v2, v3) = v8 & is_aligned(v2, v3) = v7 & has_immunity(v2, v3) = v6 & organization(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | v4 = very_low) & (v6 = 0 | (( ~ (v8 = 0) | (( ~ (v7 = 0) | v4 = low) & (v7 = 0 | v4 = mod1))) & ( ~ (v7 = 0) | v8 = 0 | v4 = mod2) & (v8 = 0 | v7 = 0 | v4 = high))))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (positional_advantage(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v2, v3) = v7 & is_aligned(v2, v3) = v8 & has_immunity(v2, v3) = v6 & organization(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | v7 = very_low) & (v6 = 0 | (( ~ (v8 = 0) | v7 = mod2 | v4 = 0) & ( ~ (v4 = 0) | (( ~ (v8 = 0) | v7 = low) & (v8 = 0 | v7 = mod1))) & (v8 = 0 | v7 = high | v4 = 0))))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (is_aligned(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v2, v3) = v7 & positional_advantage(v2, v3) = v8 & has_immunity(v2, v3) = v6 & organization(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | v7 = very_low) & (v6 = 0 | (( ~ (v8 = 0) | (( ~ (v4 = 0) | v7 = low) & (v7 = mod1 | v4 = 0))) & ( ~ (v4 = 0) | v8 = 0 | v7 = mod2) & (v8 = 0 | v7 = high | v4 = 0))))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (dissimilar(v2, v3, v4) = 0) | ? [v5] : ? [v6] : (is_aligned(v2, v4) = v6 & is_aligned(v2, v3) = v5 & organization(v2) = 0 & ( ~ (v6 = 0) | ~ (v5 = 0)) & (v6 = 0 | v5 = 0))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (has_immunity(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (hazard_of_mortality(v2, v3) = v6 & positional_advantage(v2, v3) = v8 & is_aligned(v2, v3) = v7 & organization(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | v6 = very_low) & (v4 = 0 | (( ~ (v8 = 0) | (( ~ (v7 = 0) | v6 = low) & (v7 = 0 | v6 = mod1))) & ( ~ (v7 = 0) | v8 = 0 | v6 = mod2) & (v8 = 0 | v7 = 0 | v6 = high))))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (greater(v3, v4) = 0) | ~ (greater(v2, v3) = 0) | greater(v2, v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (greater(v2, v3) = v4) | greater_or_equal(v2, v3) = 0 | ( ~ (v4 = 0) & ~ (v3 = v2))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (smaller(v2, v3) = v4) | smaller_or_equal(v2, v3) = 0 | ( ~ (v4 = 0) & ~ (v3 = v2))) & ! [v2] : ! [v3] : (v3 = v2 | ~ (greater_or_equal(v2, v3) = 0) | greater(v2, v3) = 0) & ! [v2] : ! [v3] : (v3 = v2 | ~ (smaller_or_equal(v2, v3) = 0) | smaller(v2, v3) = 0) & ! [v2] : ! [v3] : (v3 = 0 | ~ (robust_position(v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (positional_advantage(v2, v4) = v7 & age(v2, v4) = v5 & greater(v5, tau) = v8 & smaller_or_equal(v5, tau) = v6 & ((v8 = 0 & ~ (v7 = 0)) | (v7 = 0 & v6 = 0)))) & ! [v2] : ! [v3] : ( ~ (age(v2, v3) = zero) | ? [v4] : ? [v5] : (is_aligned(v2, v3) = v5 & organization(v2) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (has_immunity(v2, v3) = 0) | ? [v4] : ? [v5] : (organization(v2) = v4 & has_endowment(v2) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (greater(v3, v2) = 0) | smaller(v2, v3) = 0) & ! [v2] : ! [v3] : ( ~ (greater(v3, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v2, v3) = v4)) & ! [v2] : ! [v3] : ( ~ (greater(v2, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v3, v2) = v4)) & ! [v2] : ! [v3] : ( ~ (smaller(v2, v3) = 0) | greater(v3, v2) = 0) & ! [v2] : ( ~ (robust_position(v2) = 0) | ( ! [v3] : ! [v4] : (v4 = 0 | ~ (positional_advantage(v2, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & age(v2, v3) = v5 & greater(v5, tau) = v6)) & ! [v3] : ! [v4] : ( ~ (age(v2, v3) = v4) | ? [v5] : ? [v6] : (positional_advantage(v2, v3) = v6 & greater(v4, tau) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v3] : ! [v4] : ( ~ (age(v2, v3) = v4) | ? [v5] : ? [v6] : (positional_advantage(v2, v3) = v6 & smaller_or_equal(v4, tau) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v3] : ( ~ (positional_advantage(v2, v3) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & age(v2, v3) = v4 & smaller_or_equal(v4, tau) = v5)))) & ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (v1 = 0 & v0 = 0 & tau = sigma & ~ (v6 = 0) & hazard_of_mortality(v2, v5) = v9 & hazard_of_mortality(v2, v4) = v10 & hazard_of_mortality(v2, v3) = v12 & robust_position(v2) = 0 & age(v2, v5) = v8 & age(v2, v4) = v7 & age(v2, v3) = zero & organization(v2) = 0 & has_endowment(v2) = v6 & greater(v8, sigma) = 0 & smaller(v9, v10) = v11 & smaller_or_equal(v7, sigma) = 0 & ( ~ (v12 = v10) | ~ (v11 = 0))))
% 21.53/5.65 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3, v2) = v0))
% 21.53/5.65 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (has_endowment(v2) = v1) | ~ (has_endowment(v2) = v0))
% 21.53/5.65 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0))
% 21.53/5.65 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (positional_advantage(v3, v2) = v1) | ~ (positional_advantage(v3, v2) = v0))
% 21.53/5.65 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 21.53/5.65 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0))
% 21.53/5.65 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0))
% 21.53/5.65 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_aligned(v3, v2) = v1) | ~ (is_aligned(v3, v2) = v0))
% 21.53/5.65 |
% 21.53/5.65 | Instantiating (6) with all_1_0_0, all_1_1_1 yields:
% 21.53/5.65 | (15) greater(mod2, mod1) = 0 & greater(tau, zero) = all_1_0_0 & greater(sigma, zero) = all_1_1_1 & ! [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] : (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 | ~ (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] : ( ~ (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] : (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] : ( ~ (hazard_of_mortality(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (positional_advantage(v0, v1) = v6 & is_aligned(v0, v1) = v5 & has_immunity(v0, v1) = v4 & organization(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = very_low) & (v4 = 0 | (( ~ (v6 = 0) | (( ~ (v5 = 0) | v2 = low) & (v5 = 0 | v2 = mod1))) & ( ~ (v5 = 0) | v6 = 0 | v2 = mod2) & (v6 = 0 | v5 = 0 | v2 = high))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (positional_advantage(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (hazard_of_mortality(v0, v1) = v5 & is_aligned(v0, v1) = v6 & has_immunity(v0, v1) = v4 & organization(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v5 = very_low) & (v4 = 0 | (( ~ (v6 = 0) | v5 = mod2 | v2 = 0) & ( ~ (v2 = 0) | (( ~ (v6 = 0) | v5 = low) & (v6 = 0 | v5 = mod1))) & (v6 = 0 | v5 = high | v2 = 0))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (is_aligned(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (hazard_of_mortality(v0, v1) = v5 & positional_advantage(v0, v1) = v6 & has_immunity(v0, v1) = v4 & organization(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v5 = very_low) & (v4 = 0 | (( ~ (v6 = 0) | (( ~ (v2 = 0) | v5 = low) & (v5 = mod1 | v2 = 0))) & ( ~ (v2 = 0) | v6 = 0 | v5 = mod2) & (v6 = 0 | v5 = high | v2 = 0))))))) & ! [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] : ( ~ (has_immunity(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (hazard_of_mortality(v0, v1) = v4 & positional_advantage(v0, v1) = v6 & is_aligned(v0, v1) = v5 & organization(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v2 = 0) | v4 = very_low) & (v2 = 0 | (( ~ (v6 = 0) | (( ~ (v5 = 0) | v4 = low) & (v5 = 0 | v4 = mod1))) & ( ~ (v5 = 0) | v6 = 0 | v4 = mod2) & (v6 = 0 | v5 = 0 | v4 = high))))))) & ! [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] : (v1 = 0 | ~ (robust_position(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (positional_advantage(v0, v2) = v5 & age(v0, v2) = v3 & greater(v3, tau) = v6 & smaller_or_equal(v3, tau) = v4 & ((v6 = 0 & ~ (v5 = 0)) | (v5 = 0 & v4 = 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] : ( ~ (robust_position(v0) = 0) | ( ! [v1] : ! [v2] : (v2 = 0 | ~ (positional_advantage(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & age(v0, v1) = v3 & greater(v3, tau) = v4)) & ! [v1] : ! [v2] : ( ~ (age(v0, v1) = v2) | ? [v3] : ? [v4] : (positional_advantage(v0, v1) = v4 & greater(v2, tau) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (age(v0, v1) = v2) | ? [v3] : ? [v4] : (positional_advantage(v0, v1) = v4 & smaller_or_equal(v2, tau) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v1] : ( ~ (positional_advantage(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & age(v0, v1) = v2 & smaller_or_equal(v2, tau) = v3)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (all_1_0_0 = 0 & all_1_1_1 = 0 & tau = sigma & ~ (v4 = 0) & hazard_of_mortality(v0, v3) = v7 & hazard_of_mortality(v0, v2) = v8 & hazard_of_mortality(v0, v1) = v10 & robust_position(v0) = 0 & age(v0, v3) = v6 & age(v0, v2) = v5 & age(v0, v1) = zero & organization(v0) = 0 & has_endowment(v0) = v4 & greater(v6, sigma) = 0 & smaller(v7, v8) = v9 & smaller_or_equal(v5, sigma) = 0 & ( ~ (v10 = v8) | ~ (v9 = 0)))
% 21.53/5.67 |
% 21.53/5.67 | Applying alpha-rule on (15) yields:
% 21.53/5.67 | (16) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_aligned(v0, v1) = v2) | ? [v3] : ? [v4] : (age(v0, v1) = v4 & organization(v0) = v3 & ( ~ (v4 = zero) | ~ (v3 = 0))))
% 21.53/5.67 | (17) ! [v0] : ( ~ (robust_position(v0) = 0) | ( ! [v1] : ! [v2] : (v2 = 0 | ~ (positional_advantage(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & age(v0, v1) = v3 & greater(v3, tau) = v4)) & ! [v1] : ! [v2] : ( ~ (age(v0, v1) = v2) | ? [v3] : ? [v4] : (positional_advantage(v0, v1) = v4 & greater(v2, tau) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (age(v0, v1) = v2) | ? [v3] : ? [v4] : (positional_advantage(v0, v1) = v4 & smaller_or_equal(v2, tau) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v1] : ( ~ (positional_advantage(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & age(v0, v1) = v2 & smaller_or_equal(v2, tau) = v3))))
% 21.53/5.67 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (has_immunity(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (hazard_of_mortality(v0, v1) = v4 & positional_advantage(v0, v1) = v6 & is_aligned(v0, v1) = v5 & organization(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v2 = 0) | v4 = very_low) & (v2 = 0 | (( ~ (v6 = 0) | (( ~ (v5 = 0) | v4 = low) & (v5 = 0 | v4 = mod1))) & ( ~ (v5 = 0) | v6 = 0 | v4 = mod2) & (v6 = 0 | v5 = 0 | v4 = high)))))))
% 21.53/5.67 | (19) greater(mod2, mod1) = 0
% 21.53/5.67 | (20) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | greater(v1, v0) = 0)
% 21.53/5.67 | (21) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | smaller(v0, v1) = 0)
% 21.53/5.67 | (22) ! [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)))))
% 21.53/5.67 | (23) ! [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)))))
% 21.53/5.67 | (24) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (all_1_0_0 = 0 & all_1_1_1 = 0 & tau = sigma & ~ (v4 = 0) & hazard_of_mortality(v0, v3) = v7 & hazard_of_mortality(v0, v2) = v8 & hazard_of_mortality(v0, v1) = v10 & robust_position(v0) = 0 & age(v0, v3) = v6 & age(v0, v2) = v5 & age(v0, v1) = zero & organization(v0) = 0 & has_endowment(v0) = v4 & greater(v6, sigma) = 0 & smaller(v7, v8) = v9 & smaller_or_equal(v5, sigma) = 0 & ( ~ (v10 = v8) | ~ (v9 = 0)))
% 21.53/5.67 | (25) ! [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)))
% 21.53/5.67 | (26) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2))
% 21.53/5.67 | (27) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 21.53/5.67 | (28) ! [v0] : ! [v1] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | smaller(v0, v1) = 0)
% 21.53/5.67 | (29) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller_or_equal(v0, v1) = v3))
% 21.53/5.67 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))
% 21.53/5.67 | (31) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0)
% 21.53/5.67 | (32) ! [v0] : ! [v1] : (v1 = 0 | ~ (robust_position(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (positional_advantage(v0, v2) = v5 & age(v0, v2) = v3 & greater(v3, tau) = v6 & smaller_or_equal(v3, tau) = v4 & ((v6 = 0 & ~ (v5 = 0)) | (v5 = 0 & v4 = 0))))
% 21.53/5.67 | (33) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3))
% 21.53/5.67 | (34) greater(tau, zero) = all_1_0_0
% 21.53/5.67 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (smaller(v0, v1) = v2) | smaller_or_equal(v0, v1) = 0 | ( ~ (v2 = 0) & ~ (v1 = v0)))
% 21.53/5.67 | (36) ! [v0] : ! [v1] : ! [v2] : ( ~ (positional_advantage(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (hazard_of_mortality(v0, v1) = v5 & is_aligned(v0, v1) = v6 & has_immunity(v0, v1) = v4 & organization(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v5 = very_low) & (v4 = 0 | (( ~ (v6 = 0) | v5 = mod2 | v2 = 0) & ( ~ (v2 = 0) | (( ~ (v6 = 0) | v5 = low) & (v6 = 0 | v5 = mod1))) & (v6 = 0 | v5 = high | v2 = 0)))))))
% 21.53/5.67 | (37) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | greater(v0, v1) = 0)
% 21.84/5.67 | (38) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | smaller(v0, v1) = 0)
% 21.84/5.67 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ( ~ (v1 = v0) & ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3)))
% 21.84/5.67 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = 0) | ~ (greater(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4))
% 21.84/5.67 | (41) ! [v0] : ! [v1] : ( ~ (has_immunity(v0, v1) = 0) | ? [v2] : ? [v3] : (organization(v0) = v2 & has_endowment(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 21.84/5.67 | (42) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v1, v0) = v2))
% 21.84/5.68 | (43) ! [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)))))
% 21.84/5.68 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (is_aligned(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (hazard_of_mortality(v0, v1) = v5 & positional_advantage(v0, v1) = v6 & has_immunity(v0, v1) = v4 & organization(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v5 = very_low) & (v4 = 0 | (( ~ (v6 = 0) | (( ~ (v2 = 0) | v5 = low) & (v5 = mod1 | v2 = 0))) & ( ~ (v2 = 0) | v6 = 0 | v5 = mod2) & (v6 = 0 | v5 = high | v2 = 0)))))))
% 21.84/5.68 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v0, v1) = v2) | greater_or_equal(v0, v1) = 0 | ( ~ (v2 = 0) & ~ (v1 = v0)))
% 21.84/5.68 | (46) ! [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)))
% 21.84/5.68 | (47) ! [v0] : ! [v1] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0)
% 21.84/5.68 | (48) ! [v0] : ! [v1] : ( ~ (age(v0, v1) = zero) | ? [v2] : ? [v3] : (is_aligned(v0, v1) = v3 & organization(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 21.84/5.68 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ (hazard_of_mortality(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (positional_advantage(v0, v1) = v6 & is_aligned(v0, v1) = v5 & has_immunity(v0, v1) = v4 & organization(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = very_low) & (v4 = 0 | (( ~ (v6 = 0) | (( ~ (v5 = 0) | v2 = low) & (v5 = 0 | v2 = mod1))) & ( ~ (v5 = 0) | v6 = 0 | v2 = mod2) & (v6 = 0 | v5 = 0 | v2 = high)))))))
% 21.84/5.68 | (50) ! [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)))))
% 21.84/5.68 | (51) greater(sigma, zero) = all_1_1_1
% 21.84/5.68 | (52) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ( ~ (v1 = v0) & ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3)))
% 21.84/5.68 | (53) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3))
% 21.84/5.68 |
% 21.84/5.68 | Instantiating (24) with all_4_0_2, all_4_1_3, all_4_2_4, all_4_3_5, all_4_4_6, all_4_5_7, all_4_6_8, all_4_7_9, all_4_8_10, all_4_9_11, all_4_10_12 yields:
% 21.84/5.68 | (54) all_1_0_0 = 0 & all_1_1_1 = 0 & tau = sigma & ~ (all_4_6_8 = 0) & hazard_of_mortality(all_4_10_12, all_4_7_9) = all_4_3_5 & hazard_of_mortality(all_4_10_12, all_4_8_10) = all_4_2_4 & hazard_of_mortality(all_4_10_12, all_4_9_11) = all_4_0_2 & robust_position(all_4_10_12) = 0 & age(all_4_10_12, all_4_7_9) = all_4_4_6 & age(all_4_10_12, all_4_8_10) = all_4_5_7 & age(all_4_10_12, all_4_9_11) = zero & organization(all_4_10_12) = 0 & has_endowment(all_4_10_12) = all_4_6_8 & greater(all_4_4_6, sigma) = 0 & smaller(all_4_3_5, all_4_2_4) = all_4_1_3 & smaller_or_equal(all_4_5_7, sigma) = 0 & ( ~ (all_4_0_2 = all_4_2_4) | ~ (all_4_1_3 = 0))
% 21.84/5.68 |
% 21.84/5.68 | Applying alpha-rule on (54) yields:
% 21.84/5.68 | (55) robust_position(all_4_10_12) = 0
% 21.84/5.68 | (56) organization(all_4_10_12) = 0
% 21.84/5.68 | (57) all_1_0_0 = 0
% 21.84/5.68 | (58) has_endowment(all_4_10_12) = all_4_6_8
% 21.84/5.68 | (59) hazard_of_mortality(all_4_10_12, all_4_8_10) = all_4_2_4
% 21.84/5.68 | (60) age(all_4_10_12, all_4_7_9) = all_4_4_6
% 21.84/5.68 | (61) all_1_1_1 = 0
% 21.84/5.68 | (62) ~ (all_4_6_8 = 0)
% 21.84/5.68 | (63) hazard_of_mortality(all_4_10_12, all_4_7_9) = all_4_3_5
% 21.84/5.68 | (64) smaller_or_equal(all_4_5_7, sigma) = 0
% 21.84/5.68 | (65) ~ (all_4_0_2 = all_4_2_4) | ~ (all_4_1_3 = 0)
% 21.84/5.68 | (66) age(all_4_10_12, all_4_8_10) = all_4_5_7
% 21.84/5.68 | (67) smaller(all_4_3_5, all_4_2_4) = all_4_1_3
% 21.84/5.68 | (68) hazard_of_mortality(all_4_10_12, all_4_9_11) = all_4_0_2
% 21.84/5.68 | (69) greater(all_4_4_6, sigma) = 0
% 21.84/5.68 | (70) tau = sigma
% 21.84/5.68 | (71) age(all_4_10_12, all_4_9_11) = zero
% 21.84/5.68 |
% 21.84/5.68 | From (61) and (51) follows:
% 21.84/5.68 | (72) greater(sigma, zero) = 0
% 21.84/5.68 |
% 21.84/5.68 | Instantiating formula (49) with all_4_3_5, all_4_7_9, all_4_10_12 and discharging atoms hazard_of_mortality(all_4_10_12, all_4_7_9) = all_4_3_5, yields:
% 21.84/5.68 | (73) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (positional_advantage(all_4_10_12, all_4_7_9) = v3 & is_aligned(all_4_10_12, all_4_7_9) = v2 & has_immunity(all_4_10_12, all_4_7_9) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | all_4_3_5 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | all_4_3_5 = low) & (v2 = 0 | all_4_3_5 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | all_4_3_5 = mod2) & (v3 = 0 | v2 = 0 | all_4_3_5 = high))))))
% 21.84/5.68 |
% 21.84/5.68 | Instantiating formula (49) with all_4_2_4, all_4_8_10, all_4_10_12 and discharging atoms hazard_of_mortality(all_4_10_12, all_4_8_10) = all_4_2_4, yields:
% 21.84/5.68 | (74) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (positional_advantage(all_4_10_12, all_4_8_10) = v3 & is_aligned(all_4_10_12, all_4_8_10) = v2 & has_immunity(all_4_10_12, all_4_8_10) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | all_4_2_4 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | all_4_2_4 = low) & (v2 = 0 | all_4_2_4 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | all_4_2_4 = mod2) & (v3 = 0 | v2 = 0 | all_4_2_4 = high))))))
% 21.84/5.68 |
% 21.84/5.68 | Instantiating formula (49) with all_4_0_2, all_4_9_11, all_4_10_12 and discharging atoms hazard_of_mortality(all_4_10_12, all_4_9_11) = all_4_0_2, yields:
% 21.84/5.68 | (75) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (positional_advantage(all_4_10_12, all_4_9_11) = v3 & is_aligned(all_4_10_12, all_4_9_11) = v2 & has_immunity(all_4_10_12, all_4_9_11) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | all_4_0_2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | all_4_0_2 = low) & (v2 = 0 | all_4_0_2 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | all_4_0_2 = mod2) & (v3 = 0 | v2 = 0 | all_4_0_2 = high))))))
% 21.84/5.68 |
% 21.84/5.68 | Instantiating formula (17) with all_4_10_12 and discharging atoms robust_position(all_4_10_12) = 0, yields:
% 21.84/5.68 | (76) ! [v0] : ! [v1] : (v1 = 0 | ~ (positional_advantage(all_4_10_12, v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & age(all_4_10_12, v0) = v2 & greater(v2, tau) = v3)) & ! [v0] : ! [v1] : ( ~ (age(all_4_10_12, v0) = v1) | ? [v2] : ? [v3] : (positional_advantage(all_4_10_12, v0) = v3 & greater(v1, tau) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (age(all_4_10_12, v0) = v1) | ? [v2] : ? [v3] : (positional_advantage(all_4_10_12, v0) = v3 & smaller_or_equal(v1, tau) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ( ~ (positional_advantage(all_4_10_12, v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & age(all_4_10_12, v0) = v1 & smaller_or_equal(v1, tau) = v2))
% 21.84/5.69 |
% 21.84/5.69 | Applying alpha-rule on (76) yields:
% 21.84/5.69 | (77) ! [v0] : ! [v1] : (v1 = 0 | ~ (positional_advantage(all_4_10_12, v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & age(all_4_10_12, v0) = v2 & greater(v2, tau) = v3))
% 21.84/5.69 | (78) ! [v0] : ! [v1] : ( ~ (age(all_4_10_12, v0) = v1) | ? [v2] : ? [v3] : (positional_advantage(all_4_10_12, v0) = v3 & greater(v1, tau) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 21.84/5.69 | (79) ! [v0] : ! [v1] : ( ~ (age(all_4_10_12, v0) = v1) | ? [v2] : ? [v3] : (positional_advantage(all_4_10_12, v0) = v3 & smaller_or_equal(v1, tau) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 21.84/5.69 | (80) ! [v0] : ( ~ (positional_advantage(all_4_10_12, v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & age(all_4_10_12, v0) = v1 & smaller_or_equal(v1, tau) = v2))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (43) with zero, all_4_9_11, all_4_9_11, all_4_10_12 and discharging atoms age(all_4_10_12, all_4_9_11) = zero, yields:
% 21.84/5.69 | (81) ? [v0] : ? [v1] : ? [v2] : (dissimilar(all_4_10_12, all_4_9_11, all_4_9_11) = v2 & organization(all_4_10_12) = v0 & greater(zero, sigma) = v1 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (43) with all_4_4_6, all_4_7_9, all_4_9_11, all_4_10_12 and discharging atoms age(all_4_10_12, all_4_7_9) = all_4_4_6, age(all_4_10_12, all_4_9_11) = zero, yields:
% 21.84/5.69 | (82) ? [v0] : ? [v1] : ? [v2] : (dissimilar(all_4_10_12, all_4_9_11, all_4_7_9) = v2 & organization(all_4_10_12) = v0 & greater(all_4_4_6, sigma) = v1 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (43) with all_4_5_7, all_4_8_10, all_4_9_11, all_4_10_12 and discharging atoms age(all_4_10_12, all_4_8_10) = all_4_5_7, age(all_4_10_12, all_4_9_11) = zero, yields:
% 21.84/5.69 | (83) ? [v0] : ? [v1] : ? [v2] : (dissimilar(all_4_10_12, all_4_9_11, all_4_8_10) = v2 & organization(all_4_10_12) = v0 & greater(all_4_5_7, sigma) = v1 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (48) with all_4_9_11, all_4_10_12 and discharging atoms age(all_4_10_12, all_4_9_11) = zero, yields:
% 21.84/5.69 | (84) ? [v0] : ? [v1] : (is_aligned(all_4_10_12, all_4_9_11) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (21) with mod2, mod1 and discharging atoms greater(mod2, mod1) = 0, yields:
% 21.84/5.69 | (85) smaller(mod1, mod2) = 0
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (21) with sigma, zero and discharging atoms greater(sigma, zero) = 0, yields:
% 21.84/5.69 | (86) smaller(zero, sigma) = 0
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (29) with all_4_1_3, all_4_2_4, all_4_3_5 and discharging atoms smaller(all_4_3_5, all_4_2_4) = all_4_1_3, yields:
% 21.84/5.69 | (87) all_4_1_3 = 0 | all_4_2_4 = all_4_3_5 | ? [v0] : ( ~ (v0 = 0) & smaller_or_equal(all_4_3_5, all_4_2_4) = v0)
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (53) with all_4_1_3, all_4_2_4, all_4_3_5 and discharging atoms smaller(all_4_3_5, all_4_2_4) = all_4_1_3, yields:
% 21.84/5.69 | (88) all_4_1_3 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_4_2_4, all_4_3_5) = v0)
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (78) with all_4_4_6, all_4_7_9 and discharging atoms age(all_4_10_12, all_4_7_9) = all_4_4_6, yields:
% 21.84/5.69 | (89) ? [v0] : ? [v1] : (positional_advantage(all_4_10_12, all_4_7_9) = v1 & greater(all_4_4_6, tau) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (79) with all_4_4_6, all_4_7_9 and discharging atoms age(all_4_10_12, all_4_7_9) = all_4_4_6, yields:
% 21.84/5.69 | (90) ? [v0] : ? [v1] : (positional_advantage(all_4_10_12, all_4_7_9) = v1 & smaller_or_equal(all_4_4_6, tau) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (78) with all_4_5_7, all_4_8_10 and discharging atoms age(all_4_10_12, all_4_8_10) = all_4_5_7, yields:
% 21.84/5.69 | (91) ? [v0] : ? [v1] : (positional_advantage(all_4_10_12, all_4_8_10) = v1 & greater(all_4_5_7, tau) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (79) with all_4_5_7, all_4_8_10 and discharging atoms age(all_4_10_12, all_4_8_10) = all_4_5_7, yields:
% 21.84/5.69 | (92) ? [v0] : ? [v1] : (positional_advantage(all_4_10_12, all_4_8_10) = v1 & smaller_or_equal(all_4_5_7, tau) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (78) with zero, all_4_9_11 and discharging atoms age(all_4_10_12, all_4_9_11) = zero, yields:
% 21.84/5.69 | (93) ? [v0] : ? [v1] : (positional_advantage(all_4_10_12, all_4_9_11) = v1 & greater(zero, tau) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating formula (79) with zero, all_4_9_11 and discharging atoms age(all_4_10_12, all_4_9_11) = zero, yields:
% 21.84/5.69 | (94) ? [v0] : ? [v1] : (positional_advantage(all_4_10_12, all_4_9_11) = v1 & smaller_or_equal(zero, tau) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating (74) with all_13_0_13, all_13_1_14, all_13_2_15, all_13_3_16 yields:
% 21.84/5.69 | (95) positional_advantage(all_4_10_12, all_4_8_10) = all_13_0_13 & is_aligned(all_4_10_12, all_4_8_10) = all_13_1_14 & has_immunity(all_4_10_12, all_4_8_10) = all_13_2_15 & organization(all_4_10_12) = all_13_3_16 & ( ~ (all_13_3_16 = 0) | (( ~ (all_13_2_15 = 0) | all_4_2_4 = very_low) & (all_13_2_15 = 0 | (( ~ (all_13_0_13 = 0) | (( ~ (all_13_1_14 = 0) | all_4_2_4 = low) & (all_13_1_14 = 0 | all_4_2_4 = mod1))) & ( ~ (all_13_1_14 = 0) | all_13_0_13 = 0 | all_4_2_4 = mod2) & (all_13_0_13 = 0 | all_13_1_14 = 0 | all_4_2_4 = high)))))
% 21.84/5.69 |
% 21.84/5.69 | Applying alpha-rule on (95) yields:
% 21.84/5.69 | (96) is_aligned(all_4_10_12, all_4_8_10) = all_13_1_14
% 21.84/5.69 | (97) positional_advantage(all_4_10_12, all_4_8_10) = all_13_0_13
% 21.84/5.69 | (98) organization(all_4_10_12) = all_13_3_16
% 21.84/5.69 | (99) has_immunity(all_4_10_12, all_4_8_10) = all_13_2_15
% 21.84/5.69 | (100) ~ (all_13_3_16 = 0) | (( ~ (all_13_2_15 = 0) | all_4_2_4 = very_low) & (all_13_2_15 = 0 | (( ~ (all_13_0_13 = 0) | (( ~ (all_13_1_14 = 0) | all_4_2_4 = low) & (all_13_1_14 = 0 | all_4_2_4 = mod1))) & ( ~ (all_13_1_14 = 0) | all_13_0_13 = 0 | all_4_2_4 = mod2) & (all_13_0_13 = 0 | all_13_1_14 = 0 | all_4_2_4 = high))))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating (73) with all_15_0_17, all_15_1_18, all_15_2_19, all_15_3_20 yields:
% 21.84/5.69 | (101) positional_advantage(all_4_10_12, all_4_7_9) = all_15_0_17 & is_aligned(all_4_10_12, all_4_7_9) = all_15_1_18 & has_immunity(all_4_10_12, all_4_7_9) = all_15_2_19 & organization(all_4_10_12) = all_15_3_20 & ( ~ (all_15_3_20 = 0) | (( ~ (all_15_2_19 = 0) | all_4_3_5 = very_low) & (all_15_2_19 = 0 | (( ~ (all_15_0_17 = 0) | (( ~ (all_15_1_18 = 0) | all_4_3_5 = low) & (all_15_1_18 = 0 | all_4_3_5 = mod1))) & ( ~ (all_15_1_18 = 0) | all_15_0_17 = 0 | all_4_3_5 = mod2) & (all_15_0_17 = 0 | all_15_1_18 = 0 | all_4_3_5 = high)))))
% 21.84/5.69 |
% 21.84/5.69 | Applying alpha-rule on (101) yields:
% 21.84/5.69 | (102) organization(all_4_10_12) = all_15_3_20
% 21.84/5.69 | (103) positional_advantage(all_4_10_12, all_4_7_9) = all_15_0_17
% 21.84/5.69 | (104) is_aligned(all_4_10_12, all_4_7_9) = all_15_1_18
% 21.84/5.69 | (105) has_immunity(all_4_10_12, all_4_7_9) = all_15_2_19
% 21.84/5.69 | (106) ~ (all_15_3_20 = 0) | (( ~ (all_15_2_19 = 0) | all_4_3_5 = very_low) & (all_15_2_19 = 0 | (( ~ (all_15_0_17 = 0) | (( ~ (all_15_1_18 = 0) | all_4_3_5 = low) & (all_15_1_18 = 0 | all_4_3_5 = mod1))) & ( ~ (all_15_1_18 = 0) | all_15_0_17 = 0 | all_4_3_5 = mod2) & (all_15_0_17 = 0 | all_15_1_18 = 0 | all_4_3_5 = high))))
% 21.84/5.69 |
% 21.84/5.69 | Instantiating (84) with all_23_0_24, all_23_1_25 yields:
% 21.84/5.69 | (107) is_aligned(all_4_10_12, all_4_9_11) = all_23_0_24 & organization(all_4_10_12) = all_23_1_25 & ( ~ (all_23_1_25 = 0) | all_23_0_24 = 0)
% 21.84/5.69 |
% 21.84/5.69 | Applying alpha-rule on (107) yields:
% 21.84/5.69 | (108) is_aligned(all_4_10_12, all_4_9_11) = all_23_0_24
% 21.84/5.69 | (109) organization(all_4_10_12) = all_23_1_25
% 21.84/5.69 | (110) ~ (all_23_1_25 = 0) | all_23_0_24 = 0
% 21.84/5.70 |
% 21.84/5.70 | Instantiating (83) with all_25_0_26, all_25_1_27, all_25_2_28 yields:
% 21.84/5.70 | (111) dissimilar(all_4_10_12, all_4_9_11, all_4_8_10) = all_25_0_26 & organization(all_4_10_12) = all_25_2_28 & greater(all_4_5_7, sigma) = all_25_1_27 & ( ~ (all_25_2_28 = 0) | (( ~ (all_25_0_26 = 0) | all_25_1_27 = 0) & ( ~ (all_25_1_27 = 0) | all_25_0_26 = 0)))
% 21.84/5.70 |
% 21.84/5.70 | Applying alpha-rule on (111) yields:
% 21.84/5.70 | (112) dissimilar(all_4_10_12, all_4_9_11, all_4_8_10) = all_25_0_26
% 21.84/5.70 | (113) organization(all_4_10_12) = all_25_2_28
% 21.84/5.70 | (114) greater(all_4_5_7, sigma) = all_25_1_27
% 21.84/5.70 | (115) ~ (all_25_2_28 = 0) | (( ~ (all_25_0_26 = 0) | all_25_1_27 = 0) & ( ~ (all_25_1_27 = 0) | all_25_0_26 = 0))
% 21.84/5.70 |
% 21.84/5.70 | Instantiating (75) with all_27_0_29, all_27_1_30, all_27_2_31, all_27_3_32 yields:
% 21.84/5.70 | (116) positional_advantage(all_4_10_12, all_4_9_11) = all_27_0_29 & is_aligned(all_4_10_12, all_4_9_11) = all_27_1_30 & has_immunity(all_4_10_12, all_4_9_11) = all_27_2_31 & organization(all_4_10_12) = all_27_3_32 & ( ~ (all_27_3_32 = 0) | (( ~ (all_27_2_31 = 0) | all_4_0_2 = very_low) & (all_27_2_31 = 0 | (( ~ (all_27_0_29 = 0) | (( ~ (all_27_1_30 = 0) | all_4_0_2 = low) & (all_27_1_30 = 0 | all_4_0_2 = mod1))) & ( ~ (all_27_1_30 = 0) | all_27_0_29 = 0 | all_4_0_2 = mod2) & (all_27_0_29 = 0 | all_27_1_30 = 0 | all_4_0_2 = high)))))
% 21.84/5.70 |
% 21.84/5.70 | Applying alpha-rule on (116) yields:
% 21.84/5.70 | (117) ~ (all_27_3_32 = 0) | (( ~ (all_27_2_31 = 0) | all_4_0_2 = very_low) & (all_27_2_31 = 0 | (( ~ (all_27_0_29 = 0) | (( ~ (all_27_1_30 = 0) | all_4_0_2 = low) & (all_27_1_30 = 0 | all_4_0_2 = mod1))) & ( ~ (all_27_1_30 = 0) | all_27_0_29 = 0 | all_4_0_2 = mod2) & (all_27_0_29 = 0 | all_27_1_30 = 0 | all_4_0_2 = high))))
% 21.84/5.70 | (118) has_immunity(all_4_10_12, all_4_9_11) = all_27_2_31
% 21.84/5.70 | (119) organization(all_4_10_12) = all_27_3_32
% 21.84/5.70 | (120) positional_advantage(all_4_10_12, all_4_9_11) = all_27_0_29
% 21.84/5.70 | (121) is_aligned(all_4_10_12, all_4_9_11) = all_27_1_30
% 21.84/5.70 |
% 21.84/5.70 | Instantiating (82) with all_29_0_33, all_29_1_34, all_29_2_35 yields:
% 21.84/5.70 | (122) dissimilar(all_4_10_12, all_4_9_11, all_4_7_9) = all_29_0_33 & organization(all_4_10_12) = all_29_2_35 & greater(all_4_4_6, sigma) = all_29_1_34 & ( ~ (all_29_2_35 = 0) | (( ~ (all_29_0_33 = 0) | all_29_1_34 = 0) & ( ~ (all_29_1_34 = 0) | all_29_0_33 = 0)))
% 21.84/5.70 |
% 21.84/5.70 | Applying alpha-rule on (122) yields:
% 21.84/5.70 | (123) dissimilar(all_4_10_12, all_4_9_11, all_4_7_9) = all_29_0_33
% 21.84/5.70 | (124) organization(all_4_10_12) = all_29_2_35
% 21.84/5.70 | (125) greater(all_4_4_6, sigma) = all_29_1_34
% 21.84/5.70 | (126) ~ (all_29_2_35 = 0) | (( ~ (all_29_0_33 = 0) | all_29_1_34 = 0) & ( ~ (all_29_1_34 = 0) | all_29_0_33 = 0))
% 21.84/5.70 |
% 21.84/5.70 | Instantiating (81) with all_31_0_36, all_31_1_37, all_31_2_38 yields:
% 21.84/5.70 | (127) dissimilar(all_4_10_12, all_4_9_11, all_4_9_11) = all_31_0_36 & organization(all_4_10_12) = all_31_2_38 & greater(zero, sigma) = all_31_1_37 & ( ~ (all_31_2_38 = 0) | (( ~ (all_31_0_36 = 0) | all_31_1_37 = 0) & ( ~ (all_31_1_37 = 0) | all_31_0_36 = 0)))
% 21.84/5.70 |
% 21.84/5.70 | Applying alpha-rule on (127) yields:
% 21.84/5.70 | (128) dissimilar(all_4_10_12, all_4_9_11, all_4_9_11) = all_31_0_36
% 21.84/5.70 | (129) organization(all_4_10_12) = all_31_2_38
% 21.84/5.70 | (130) greater(zero, sigma) = all_31_1_37
% 21.84/5.70 | (131) ~ (all_31_2_38 = 0) | (( ~ (all_31_0_36 = 0) | all_31_1_37 = 0) & ( ~ (all_31_1_37 = 0) | all_31_0_36 = 0))
% 21.84/5.70 |
% 21.84/5.70 | Instantiating (94) with all_33_0_39, all_33_1_40 yields:
% 21.84/5.70 | (132) positional_advantage(all_4_10_12, all_4_9_11) = all_33_0_39 & smaller_or_equal(zero, tau) = all_33_1_40 & ( ~ (all_33_0_39 = 0) | ~ (all_33_1_40 = 0))
% 21.84/5.70 |
% 21.84/5.70 | Applying alpha-rule on (132) yields:
% 21.84/5.70 | (133) positional_advantage(all_4_10_12, all_4_9_11) = all_33_0_39
% 21.84/5.70 | (134) smaller_or_equal(zero, tau) = all_33_1_40
% 21.84/5.70 | (135) ~ (all_33_0_39 = 0) | ~ (all_33_1_40 = 0)
% 21.84/5.70 |
% 21.84/5.70 | Instantiating (93) with all_35_0_41, all_35_1_42 yields:
% 21.84/5.70 | (136) positional_advantage(all_4_10_12, all_4_9_11) = all_35_0_41 & greater(zero, tau) = all_35_1_42 & ( ~ (all_35_1_42 = 0) | all_35_0_41 = 0)
% 21.84/5.70 |
% 21.84/5.70 | Applying alpha-rule on (136) yields:
% 21.84/5.70 | (137) positional_advantage(all_4_10_12, all_4_9_11) = all_35_0_41
% 21.84/5.70 | (138) greater(zero, tau) = all_35_1_42
% 21.84/5.70 | (139) ~ (all_35_1_42 = 0) | all_35_0_41 = 0
% 21.84/5.70 |
% 21.84/5.70 | Instantiating (92) with all_37_0_43, all_37_1_44 yields:
% 21.84/5.70 | (140) positional_advantage(all_4_10_12, all_4_8_10) = all_37_0_43 & smaller_or_equal(all_4_5_7, tau) = all_37_1_44 & ( ~ (all_37_0_43 = 0) | ~ (all_37_1_44 = 0))
% 21.84/5.70 |
% 21.84/5.70 | Applying alpha-rule on (140) yields:
% 21.84/5.70 | (141) positional_advantage(all_4_10_12, all_4_8_10) = all_37_0_43
% 21.84/5.70 | (142) smaller_or_equal(all_4_5_7, tau) = all_37_1_44
% 21.84/5.70 | (143) ~ (all_37_0_43 = 0) | ~ (all_37_1_44 = 0)
% 21.84/5.70 |
% 21.84/5.70 | Instantiating (91) with all_39_0_45, all_39_1_46 yields:
% 21.84/5.70 | (144) positional_advantage(all_4_10_12, all_4_8_10) = all_39_0_45 & greater(all_4_5_7, tau) = all_39_1_46 & ( ~ (all_39_1_46 = 0) | all_39_0_45 = 0)
% 21.84/5.70 |
% 21.84/5.70 | Applying alpha-rule on (144) yields:
% 21.84/5.70 | (145) positional_advantage(all_4_10_12, all_4_8_10) = all_39_0_45
% 21.84/5.70 | (146) greater(all_4_5_7, tau) = all_39_1_46
% 21.84/5.70 | (147) ~ (all_39_1_46 = 0) | all_39_0_45 = 0
% 21.84/5.70 |
% 21.84/5.70 | Instantiating (90) with all_41_0_47, all_41_1_48 yields:
% 21.84/5.70 | (148) positional_advantage(all_4_10_12, all_4_7_9) = all_41_0_47 & smaller_or_equal(all_4_4_6, tau) = all_41_1_48 & ( ~ (all_41_0_47 = 0) | ~ (all_41_1_48 = 0))
% 21.84/5.70 |
% 21.84/5.70 | Applying alpha-rule on (148) yields:
% 21.84/5.70 | (149) positional_advantage(all_4_10_12, all_4_7_9) = all_41_0_47
% 21.84/5.70 | (150) smaller_or_equal(all_4_4_6, tau) = all_41_1_48
% 21.84/5.70 | (151) ~ (all_41_0_47 = 0) | ~ (all_41_1_48 = 0)
% 21.84/5.70 |
% 21.84/5.70 | Instantiating (89) with all_43_0_49, all_43_1_50 yields:
% 21.84/5.70 | (152) positional_advantage(all_4_10_12, all_4_7_9) = all_43_0_49 & greater(all_4_4_6, tau) = all_43_1_50 & ( ~ (all_43_1_50 = 0) | all_43_0_49 = 0)
% 21.84/5.70 |
% 21.84/5.70 | Applying alpha-rule on (152) yields:
% 21.84/5.70 | (153) positional_advantage(all_4_10_12, all_4_7_9) = all_43_0_49
% 21.84/5.70 | (154) greater(all_4_4_6, tau) = all_43_1_50
% 21.84/5.70 | (155) ~ (all_43_1_50 = 0) | all_43_0_49 = 0
% 21.84/5.70 |
% 21.84/5.70 | From (70) and (154) follows:
% 21.84/5.70 | (156) greater(all_4_4_6, sigma) = all_43_1_50
% 21.84/5.70 |
% 21.84/5.70 | From (70) and (146) follows:
% 21.84/5.70 | (157) greater(all_4_5_7, sigma) = all_39_1_46
% 21.84/5.70 |
% 21.84/5.70 | From (70) and (142) follows:
% 21.84/5.70 | (158) smaller_or_equal(all_4_5_7, sigma) = all_37_1_44
% 21.84/5.70 |
% 21.84/5.70 | From (70) and (134) follows:
% 21.84/5.70 | (159) smaller_or_equal(zero, sigma) = all_33_1_40
% 21.84/5.70 |
% 21.84/5.70 | Instantiating formula (10) with all_4_10_12, all_4_7_9, all_41_0_47, all_43_0_49 and discharging atoms positional_advantage(all_4_10_12, all_4_7_9) = all_43_0_49, positional_advantage(all_4_10_12, all_4_7_9) = all_41_0_47, yields:
% 21.84/5.70 | (160) all_43_0_49 = all_41_0_47
% 21.84/5.70 |
% 21.84/5.70 | Instantiating formula (10) with all_4_10_12, all_4_7_9, all_15_0_17, all_43_0_49 and discharging atoms positional_advantage(all_4_10_12, all_4_7_9) = all_43_0_49, positional_advantage(all_4_10_12, all_4_7_9) = all_15_0_17, yields:
% 21.84/5.70 | (161) all_43_0_49 = all_15_0_17
% 21.84/5.70 |
% 21.84/5.70 | Instantiating formula (10) with all_4_10_12, all_4_8_10, all_37_0_43, all_39_0_45 and discharging atoms positional_advantage(all_4_10_12, all_4_8_10) = all_39_0_45, positional_advantage(all_4_10_12, all_4_8_10) = all_37_0_43, yields:
% 21.84/5.70 | (162) all_39_0_45 = all_37_0_43
% 21.84/5.70 |
% 21.84/5.70 | Instantiating formula (10) with all_4_10_12, all_4_8_10, all_13_0_13, all_39_0_45 and discharging atoms positional_advantage(all_4_10_12, all_4_8_10) = all_39_0_45, positional_advantage(all_4_10_12, all_4_8_10) = all_13_0_13, yields:
% 21.84/5.70 | (163) all_39_0_45 = all_13_0_13
% 21.84/5.70 |
% 21.84/5.70 | Instantiating formula (10) with all_4_10_12, all_4_9_11, all_33_0_39, all_43_0_49 and discharging atoms positional_advantage(all_4_10_12, all_4_9_11) = all_33_0_39, yields:
% 21.84/5.70 | (164) all_43_0_49 = all_33_0_39 | ~ (positional_advantage(all_4_10_12, all_4_9_11) = all_43_0_49)
% 21.84/5.70 |
% 21.84/5.70 | Instantiating formula (10) with all_4_10_12, all_4_9_11, all_33_0_39, all_35_0_41 and discharging atoms positional_advantage(all_4_10_12, all_4_9_11) = all_35_0_41, positional_advantage(all_4_10_12, all_4_9_11) = all_33_0_39, yields:
% 21.84/5.70 | (165) all_35_0_41 = all_33_0_39
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (10) with all_4_10_12, all_4_9_11, all_27_0_29, all_35_0_41 and discharging atoms positional_advantage(all_4_10_12, all_4_9_11) = all_35_0_41, positional_advantage(all_4_10_12, all_4_9_11) = all_27_0_29, yields:
% 21.84/5.71 | (166) all_35_0_41 = all_27_0_29
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (14) with all_4_10_12, all_4_9_11, all_23_0_24, all_27_1_30 and discharging atoms is_aligned(all_4_10_12, all_4_9_11) = all_27_1_30, is_aligned(all_4_10_12, all_4_9_11) = all_23_0_24, yields:
% 21.84/5.71 | (167) all_27_1_30 = all_23_0_24
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (11) with all_4_10_12, all_29_2_35, all_31_2_38 and discharging atoms organization(all_4_10_12) = all_31_2_38, organization(all_4_10_12) = all_29_2_35, yields:
% 21.84/5.71 | (168) all_31_2_38 = all_29_2_35
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (11) with all_4_10_12, all_27_3_32, 0 and discharging atoms organization(all_4_10_12) = all_27_3_32, organization(all_4_10_12) = 0, yields:
% 21.84/5.71 | (169) all_27_3_32 = 0
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (11) with all_4_10_12, all_27_3_32, all_31_2_38 and discharging atoms organization(all_4_10_12) = all_31_2_38, organization(all_4_10_12) = all_27_3_32, yields:
% 21.84/5.71 | (170) all_31_2_38 = all_27_3_32
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (11) with all_4_10_12, all_25_2_28, all_27_3_32 and discharging atoms organization(all_4_10_12) = all_27_3_32, organization(all_4_10_12) = all_25_2_28, yields:
% 21.84/5.71 | (171) all_27_3_32 = all_25_2_28
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (11) with all_4_10_12, all_23_1_25, all_31_2_38 and discharging atoms organization(all_4_10_12) = all_31_2_38, organization(all_4_10_12) = all_23_1_25, yields:
% 21.84/5.71 | (172) all_31_2_38 = all_23_1_25
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (11) with all_4_10_12, all_15_3_20, all_31_2_38 and discharging atoms organization(all_4_10_12) = all_31_2_38, organization(all_4_10_12) = all_15_3_20, yields:
% 21.84/5.71 | (173) all_31_2_38 = all_15_3_20
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (11) with all_4_10_12, all_13_3_16, all_29_2_35 and discharging atoms organization(all_4_10_12) = all_29_2_35, organization(all_4_10_12) = all_13_3_16, yields:
% 21.84/5.71 | (174) all_29_2_35 = all_13_3_16
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (4) with all_4_4_6, sigma, all_43_1_50, 0 and discharging atoms greater(all_4_4_6, sigma) = all_43_1_50, greater(all_4_4_6, sigma) = 0, yields:
% 21.84/5.71 | (175) all_43_1_50 = 0
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (4) with all_4_4_6, sigma, all_29_1_34, all_43_1_50 and discharging atoms greater(all_4_4_6, sigma) = all_43_1_50, greater(all_4_4_6, sigma) = all_29_1_34, yields:
% 21.84/5.71 | (176) all_43_1_50 = all_29_1_34
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (4) with all_4_5_7, sigma, all_25_1_27, all_39_1_46 and discharging atoms greater(all_4_5_7, sigma) = all_39_1_46, greater(all_4_5_7, sigma) = all_25_1_27, yields:
% 21.84/5.71 | (177) all_39_1_46 = all_25_1_27
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (5) with all_4_5_7, sigma, all_37_1_44, 0 and discharging atoms smaller_or_equal(all_4_5_7, sigma) = all_37_1_44, smaller_or_equal(all_4_5_7, sigma) = 0, yields:
% 21.84/5.71 | (178) all_37_1_44 = 0
% 21.84/5.71 |
% 21.84/5.71 | Instantiating formula (5) with zero, sigma, all_33_1_40, all_37_1_44 and discharging atoms smaller_or_equal(zero, sigma) = all_33_1_40, yields:
% 21.84/5.71 | (179) all_37_1_44 = all_33_1_40 | ~ (smaller_or_equal(zero, sigma) = all_37_1_44)
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (160,161) yields a new equation:
% 21.84/5.71 | (180) all_41_0_47 = all_15_0_17
% 21.84/5.71 |
% 21.84/5.71 | Simplifying 180 yields:
% 21.84/5.71 | (181) all_41_0_47 = all_15_0_17
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (175,176) yields a new equation:
% 21.84/5.71 | (182) all_29_1_34 = 0
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (162,163) yields a new equation:
% 21.84/5.71 | (183) all_37_0_43 = all_13_0_13
% 21.84/5.71 |
% 21.84/5.71 | Simplifying 183 yields:
% 21.84/5.71 | (184) all_37_0_43 = all_13_0_13
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (166,165) yields a new equation:
% 21.84/5.71 | (185) all_33_0_39 = all_27_0_29
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (170,172) yields a new equation:
% 21.84/5.71 | (186) all_27_3_32 = all_23_1_25
% 21.84/5.71 |
% 21.84/5.71 | Simplifying 186 yields:
% 21.84/5.71 | (187) all_27_3_32 = all_23_1_25
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (173,172) yields a new equation:
% 21.84/5.71 | (188) all_23_1_25 = all_15_3_20
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (168,172) yields a new equation:
% 21.84/5.71 | (189) all_29_2_35 = all_23_1_25
% 21.84/5.71 |
% 21.84/5.71 | Simplifying 189 yields:
% 21.84/5.71 | (190) all_29_2_35 = all_23_1_25
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (190,174) yields a new equation:
% 21.84/5.71 | (191) all_23_1_25 = all_13_3_16
% 21.84/5.71 |
% 21.84/5.71 | Simplifying 191 yields:
% 21.84/5.71 | (192) all_23_1_25 = all_13_3_16
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (169,171) yields a new equation:
% 21.84/5.71 | (193) all_25_2_28 = 0
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (187,171) yields a new equation:
% 21.84/5.71 | (194) all_25_2_28 = all_23_1_25
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (194,193) yields a new equation:
% 21.84/5.71 | (195) all_23_1_25 = 0
% 21.84/5.71 |
% 21.84/5.71 | Simplifying 195 yields:
% 21.84/5.71 | (196) all_23_1_25 = 0
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (192,188) yields a new equation:
% 21.84/5.71 | (197) all_15_3_20 = all_13_3_16
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (196,188) yields a new equation:
% 21.84/5.71 | (198) all_15_3_20 = 0
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (197,198) yields a new equation:
% 21.84/5.71 | (199) all_13_3_16 = 0
% 21.84/5.71 |
% 21.84/5.71 | Simplifying 199 yields:
% 21.84/5.71 | (200) all_13_3_16 = 0
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (198,188) yields a new equation:
% 21.84/5.71 | (196) all_23_1_25 = 0
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (193,171) yields a new equation:
% 21.84/5.71 | (169) all_27_3_32 = 0
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (200,174) yields a new equation:
% 21.84/5.71 | (203) all_29_2_35 = 0
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (182,176) yields a new equation:
% 21.84/5.71 | (175) all_43_1_50 = 0
% 21.84/5.71 |
% 21.84/5.71 | From (181) and (149) follows:
% 21.84/5.71 | (103) positional_advantage(all_4_10_12, all_4_7_9) = all_15_0_17
% 21.84/5.71 |
% 21.84/5.71 | From (184) and (141) follows:
% 21.84/5.71 | (97) positional_advantage(all_4_10_12, all_4_8_10) = all_13_0_13
% 21.84/5.71 |
% 21.84/5.71 | From (185) and (133) follows:
% 21.84/5.71 | (120) positional_advantage(all_4_10_12, all_4_9_11) = all_27_0_29
% 21.84/5.71 |
% 21.84/5.71 | From (167) and (121) follows:
% 21.84/5.71 | (108) is_aligned(all_4_10_12, all_4_9_11) = all_23_0_24
% 21.84/5.71 |
% 21.84/5.71 +-Applying beta-rule and splitting (110), into two cases.
% 21.84/5.71 |-Branch one:
% 21.84/5.71 | (209) ~ (all_23_1_25 = 0)
% 21.84/5.71 |
% 21.84/5.71 | Equations (196) can reduce 209 to:
% 21.84/5.71 | (210) $false
% 21.84/5.71 |
% 21.84/5.71 |-The branch is then unsatisfiable
% 21.84/5.71 |-Branch two:
% 21.84/5.71 | (196) all_23_1_25 = 0
% 21.84/5.71 | (212) all_23_0_24 = 0
% 21.84/5.71 |
% 21.84/5.71 | Combining equations (212,167) yields a new equation:
% 21.84/5.71 | (213) all_27_1_30 = 0
% 21.84/5.72 |
% 21.84/5.72 | From (212) and (108) follows:
% 21.84/5.72 | (214) is_aligned(all_4_10_12, all_4_9_11) = 0
% 21.84/5.72 |
% 21.84/5.72 +-Applying beta-rule and splitting (143), into two cases.
% 21.84/5.72 |-Branch one:
% 21.84/5.72 | (215) ~ (all_37_0_43 = 0)
% 21.84/5.72 |
% 21.84/5.72 | Equations (184) can reduce 215 to:
% 21.84/5.72 | (216) ~ (all_13_0_13 = 0)
% 21.84/5.72 |
% 21.84/5.72 +-Applying beta-rule and splitting (126), into two cases.
% 21.84/5.72 |-Branch one:
% 21.84/5.72 | (217) ~ (all_29_2_35 = 0)
% 21.84/5.72 |
% 21.84/5.72 | Equations (203) can reduce 217 to:
% 21.84/5.72 | (210) $false
% 21.84/5.72 |
% 21.84/5.72 |-The branch is then unsatisfiable
% 21.84/5.72 |-Branch two:
% 21.84/5.72 | (203) all_29_2_35 = 0
% 21.84/5.72 | (220) ( ~ (all_29_0_33 = 0) | all_29_1_34 = 0) & ( ~ (all_29_1_34 = 0) | all_29_0_33 = 0)
% 21.84/5.72 |
% 21.84/5.72 | Applying alpha-rule on (220) yields:
% 21.84/5.72 | (221) ~ (all_29_0_33 = 0) | all_29_1_34 = 0
% 21.84/5.72 | (222) ~ (all_29_1_34 = 0) | all_29_0_33 = 0
% 21.84/5.72 |
% 21.84/5.72 +-Applying beta-rule and splitting (222), into two cases.
% 21.84/5.72 |-Branch one:
% 21.84/5.72 | (223) ~ (all_29_1_34 = 0)
% 21.84/5.72 |
% 21.84/5.72 | Equations (182) can reduce 223 to:
% 21.84/5.72 | (210) $false
% 21.84/5.72 |
% 21.84/5.72 |-The branch is then unsatisfiable
% 21.84/5.72 |-Branch two:
% 21.84/5.72 | (182) all_29_1_34 = 0
% 21.84/5.72 | (226) all_29_0_33 = 0
% 21.84/5.72 |
% 21.84/5.72 | From (226) and (123) follows:
% 21.84/5.72 | (227) dissimilar(all_4_10_12, all_4_9_11, all_4_7_9) = 0
% 21.84/5.72 |
% 21.84/5.72 +-Applying beta-rule and splitting (147), into two cases.
% 21.84/5.72 |-Branch one:
% 21.84/5.72 | (228) ~ (all_39_1_46 = 0)
% 21.84/5.72 |
% 21.84/5.72 | Equations (177) can reduce 228 to:
% 21.84/5.72 | (229) ~ (all_25_1_27 = 0)
% 21.84/5.72 |
% 21.84/5.72 +-Applying beta-rule and splitting (115), into two cases.
% 21.84/5.72 |-Branch one:
% 21.84/5.72 | (230) ~ (all_25_2_28 = 0)
% 21.84/5.72 |
% 21.84/5.72 | Equations (193) can reduce 230 to:
% 21.84/5.72 | (210) $false
% 21.84/5.72 |
% 21.84/5.72 |-The branch is then unsatisfiable
% 21.84/5.72 |-Branch two:
% 21.84/5.72 | (193) all_25_2_28 = 0
% 21.84/5.72 | (233) ( ~ (all_25_0_26 = 0) | all_25_1_27 = 0) & ( ~ (all_25_1_27 = 0) | all_25_0_26 = 0)
% 21.84/5.72 |
% 21.84/5.72 | Applying alpha-rule on (233) yields:
% 21.84/5.72 | (234) ~ (all_25_0_26 = 0) | all_25_1_27 = 0
% 21.84/5.72 | (235) ~ (all_25_1_27 = 0) | all_25_0_26 = 0
% 21.84/5.72 |
% 21.84/5.72 +-Applying beta-rule and splitting (234), into two cases.
% 21.84/5.72 |-Branch one:
% 21.84/5.72 | (236) ~ (all_25_0_26 = 0)
% 21.84/5.72 |
% 21.84/5.72 +-Applying beta-rule and splitting (155), into two cases.
% 21.84/5.72 |-Branch one:
% 21.84/5.72 | (237) ~ (all_43_1_50 = 0)
% 21.84/5.72 |
% 21.84/5.72 | Equations (175) can reduce 237 to:
% 21.84/5.72 | (210) $false
% 21.84/5.72 |
% 21.84/5.72 |-The branch is then unsatisfiable
% 21.84/5.72 |-Branch two:
% 21.84/5.72 | (175) all_43_1_50 = 0
% 21.84/5.72 | (240) all_43_0_49 = 0
% 21.84/5.72 |
% 21.84/5.72 | Combining equations (240,161) yields a new equation:
% 21.84/5.72 | (241) all_15_0_17 = 0
% 21.84/5.72 |
% 21.84/5.72 | Combining equations (241,161) yields a new equation:
% 21.84/5.72 | (240) all_43_0_49 = 0
% 21.84/5.72 |
% 21.84/5.72 | From (241) and (103) follows:
% 21.84/5.72 | (243) positional_advantage(all_4_10_12, all_4_7_9) = 0
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (36) with 0, all_4_7_9, all_4_10_12 and discharging atoms positional_advantage(all_4_10_12, all_4_7_9) = 0, yields:
% 21.84/5.72 | (244) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_12, all_4_7_9) = v2 & is_aligned(all_4_10_12, all_4_7_9) = v3 & has_immunity(all_4_10_12, all_4_7_9) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | v2 = low) & (v3 = 0 | v2 = mod1))))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (36) with all_13_0_13, all_4_8_10, all_4_10_12 and discharging atoms positional_advantage(all_4_10_12, all_4_8_10) = all_13_0_13, yields:
% 21.84/5.72 | (245) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_12, all_4_8_10) = v2 & is_aligned(all_4_10_12, all_4_8_10) = v3 & has_immunity(all_4_10_12, all_4_8_10) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | v2 = mod2 | all_13_0_13 = 0) & ( ~ (all_13_0_13 = 0) | (( ~ (v3 = 0) | v2 = low) & (v3 = 0 | v2 = mod1))) & (v3 = 0 | v2 = high | all_13_0_13 = 0))))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (80) with all_4_9_11 yields:
% 21.84/5.72 | (246) ~ (positional_advantage(all_4_10_12, all_4_9_11) = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & age(all_4_10_12, all_4_9_11) = v0 & smaller_or_equal(v0, tau) = v1)
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (36) with all_27_0_29, all_4_9_11, all_4_10_12 and discharging atoms positional_advantage(all_4_10_12, all_4_9_11) = all_27_0_29, yields:
% 21.84/5.72 | (247) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_12, all_4_9_11) = v2 & is_aligned(all_4_10_12, all_4_9_11) = v3 & has_immunity(all_4_10_12, all_4_9_11) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | v2 = mod2 | all_27_0_29 = 0) & ( ~ (all_27_0_29 = 0) | (( ~ (v3 = 0) | v2 = low) & (v3 = 0 | v2 = mod1))) & (v3 = 0 | v2 = high | all_27_0_29 = 0))))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (23) with all_15_1_18, all_15_1_18, all_4_7_9, all_4_7_9, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_7_9) = all_15_1_18, yields:
% 21.84/5.72 | (248) ? [v0] : ? [v1] : ( ~ (v0 = 0) & dissimilar(all_4_10_12, all_4_7_9, all_4_7_9) = v0 & organization(all_4_10_12) = v1)
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (44) with all_15_1_18, all_4_7_9, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_7_9) = all_15_1_18, yields:
% 21.84/5.72 | (249) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_12, all_4_7_9) = v2 & positional_advantage(all_4_10_12, all_4_7_9) = v3 & has_immunity(all_4_10_12, all_4_7_9) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | (( ~ (all_15_1_18 = 0) | v2 = low) & (v2 = mod1 | all_15_1_18 = 0))) & ( ~ (all_15_1_18 = 0) | v3 = 0 | v2 = mod2) & (v3 = 0 | v2 = high | all_15_1_18 = 0))))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (23) with all_13_1_14, all_15_1_18, all_4_8_10, all_4_7_9, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_7_9) = all_15_1_18, is_aligned(all_4_10_12, all_4_8_10) = all_13_1_14, yields:
% 21.84/5.72 | (250) ? [v0] : ? [v1] : (dissimilar(all_4_10_12, all_4_7_9, all_4_8_10) = v0 & organization(all_4_10_12) = v1 & ( ~ (v0 = 0) | (v1 = 0 & ( ~ (all_15_1_18 = 0) | ~ (all_13_1_14 = 0)) & (all_15_1_18 = 0 | all_13_1_14 = 0))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (23) with all_15_1_18, all_13_1_14, all_4_7_9, all_4_8_10, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_7_9) = all_15_1_18, is_aligned(all_4_10_12, all_4_8_10) = all_13_1_14, yields:
% 21.84/5.72 | (251) ? [v0] : ? [v1] : (dissimilar(all_4_10_12, all_4_8_10, all_4_7_9) = v0 & organization(all_4_10_12) = v1 & ( ~ (v0 = 0) | (v1 = 0 & ( ~ (all_15_1_18 = 0) | ~ (all_13_1_14 = 0)) & (all_15_1_18 = 0 | all_13_1_14 = 0))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (23) with all_13_1_14, all_13_1_14, all_4_8_10, all_4_8_10, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_8_10) = all_13_1_14, yields:
% 21.84/5.72 | (252) ? [v0] : ? [v1] : ( ~ (v0 = 0) & dissimilar(all_4_10_12, all_4_8_10, all_4_8_10) = v0 & organization(all_4_10_12) = v1)
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (44) with all_13_1_14, all_4_8_10, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_8_10) = all_13_1_14, yields:
% 21.84/5.72 | (253) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_12, all_4_8_10) = v2 & positional_advantage(all_4_10_12, all_4_8_10) = v3 & has_immunity(all_4_10_12, all_4_8_10) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | (( ~ (all_13_1_14 = 0) | v2 = low) & (v2 = mod1 | all_13_1_14 = 0))) & ( ~ (all_13_1_14 = 0) | v3 = 0 | v2 = mod2) & (v3 = 0 | v2 = high | all_13_1_14 = 0))))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (46) with 0, all_15_1_18, all_4_9_11, all_4_7_9, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_7_9) = all_15_1_18, is_aligned(all_4_10_12, all_4_9_11) = 0, yields:
% 21.84/5.72 | (254) all_15_1_18 = 0 | ? [v0] : ? [v1] : (dissimilar(all_4_10_12, all_4_7_9, all_4_9_11) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (23) with 0, all_15_1_18, all_4_9_11, all_4_7_9, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_7_9) = all_15_1_18, is_aligned(all_4_10_12, all_4_9_11) = 0, yields:
% 21.84/5.72 | (255) ? [v0] : ? [v1] : (dissimilar(all_4_10_12, all_4_7_9, all_4_9_11) = v0 & organization(all_4_10_12) = v1 & ( ~ (v0 = 0) | (v1 = 0 & ~ (all_15_1_18 = 0))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (23) with all_15_1_18, 0, all_4_7_9, all_4_9_11, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_7_9) = all_15_1_18, is_aligned(all_4_10_12, all_4_9_11) = 0, yields:
% 21.84/5.72 | (256) ? [v0] : ? [v1] : (dissimilar(all_4_10_12, all_4_9_11, all_4_7_9) = v0 & organization(all_4_10_12) = v1 & ( ~ (v0 = 0) | (v1 = 0 & ~ (all_15_1_18 = 0))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (46) with all_13_1_14, 0, all_4_8_10, all_4_9_11, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_8_10) = all_13_1_14, is_aligned(all_4_10_12, all_4_9_11) = 0, yields:
% 21.84/5.72 | (257) all_13_1_14 = 0 | ? [v0] : ? [v1] : (dissimilar(all_4_10_12, all_4_9_11, all_4_8_10) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (23) with 0, all_13_1_14, all_4_9_11, all_4_8_10, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_8_10) = all_13_1_14, is_aligned(all_4_10_12, all_4_9_11) = 0, yields:
% 21.84/5.72 | (258) ? [v0] : ? [v1] : (dissimilar(all_4_10_12, all_4_8_10, all_4_9_11) = v0 & organization(all_4_10_12) = v1 & ( ~ (v0 = 0) | (v1 = 0 & ~ (all_13_1_14 = 0))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (44) with 0, all_4_9_11, all_4_10_12 and discharging atoms is_aligned(all_4_10_12, all_4_9_11) = 0, yields:
% 21.84/5.72 | (259) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_12, all_4_9_11) = v2 & positional_advantage(all_4_10_12, all_4_9_11) = v3 & has_immunity(all_4_10_12, all_4_9_11) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | v2 = low) & (v3 = 0 | v2 = mod2))))))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (25) with all_4_7_9, all_4_9_11, all_4_10_12 and discharging atoms dissimilar(all_4_10_12, all_4_9_11, all_4_7_9) = 0, yields:
% 21.84/5.72 | (260) ? [v0] : ? [v1] : (is_aligned(all_4_10_12, all_4_7_9) = v1 & is_aligned(all_4_10_12, all_4_9_11) = v0 & organization(all_4_10_12) = 0 & ( ~ (v1 = 0) | ~ (v0 = 0)) & (v1 = 0 | v0 = 0))
% 21.84/5.72 |
% 21.84/5.72 | Instantiating formula (22) with all_25_0_26, all_4_8_10, all_4_9_11, all_4_10_12 and discharging atoms dissimilar(all_4_10_12, all_4_9_11, all_4_8_10) = all_25_0_26, yields:
% 21.84/5.72 | (261) all_25_0_26 = 0 | ? [v0] : ? [v1] : ? [v2] : (is_aligned(all_4_10_12, all_4_8_10) = v2 & is_aligned(all_4_10_12, all_4_9_11) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating formula (41) with all_4_7_9, all_4_10_12 yields:
% 21.84/5.73 | (262) ~ (has_immunity(all_4_10_12, all_4_7_9) = 0) | ? [v0] : ? [v1] : (organization(all_4_10_12) = v0 & has_endowment(all_4_10_12) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating formula (18) with all_15_2_19, all_4_7_9, all_4_10_12 and discharging atoms has_immunity(all_4_10_12, all_4_7_9) = all_15_2_19, yields:
% 21.84/5.73 | (263) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_12, all_4_7_9) = v1 & positional_advantage(all_4_10_12, all_4_7_9) = v3 & is_aligned(all_4_10_12, all_4_7_9) = v2 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (all_15_2_19 = 0) | v1 = very_low) & (all_15_2_19 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | v1 = low) & (v2 = 0 | v1 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | v1 = mod2) & (v3 = 0 | v2 = 0 | v1 = high))))))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating formula (41) with all_4_8_10, all_4_10_12 yields:
% 21.84/5.73 | (264) ~ (has_immunity(all_4_10_12, all_4_8_10) = 0) | ? [v0] : ? [v1] : (organization(all_4_10_12) = v0 & has_endowment(all_4_10_12) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating formula (18) with all_13_2_15, all_4_8_10, all_4_10_12 and discharging atoms has_immunity(all_4_10_12, all_4_8_10) = all_13_2_15, yields:
% 21.84/5.73 | (265) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_12, all_4_8_10) = v1 & positional_advantage(all_4_10_12, all_4_8_10) = v3 & is_aligned(all_4_10_12, all_4_8_10) = v2 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (all_13_2_15 = 0) | v1 = very_low) & (all_13_2_15 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | v1 = low) & (v2 = 0 | v1 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | v1 = mod2) & (v3 = 0 | v2 = 0 | v1 = high))))))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating formula (41) with all_4_9_11, all_4_10_12 yields:
% 21.84/5.73 | (266) ~ (has_immunity(all_4_10_12, all_4_9_11) = 0) | ? [v0] : ? [v1] : (organization(all_4_10_12) = v0 & has_endowment(all_4_10_12) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating formula (18) with all_27_2_31, all_4_9_11, all_4_10_12 and discharging atoms has_immunity(all_4_10_12, all_4_9_11) = all_27_2_31, yields:
% 21.84/5.73 | (267) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_12, all_4_9_11) = v1 & positional_advantage(all_4_10_12, all_4_9_11) = v3 & is_aligned(all_4_10_12, all_4_9_11) = v2 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (all_27_2_31 = 0) | v1 = very_low) & (all_27_2_31 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | v1 = low) & (v2 = 0 | v1 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | v1 = mod2) & (v3 = 0 | v2 = 0 | v1 = high))))))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating formula (35) with 0, sigma, zero and discharging atoms smaller(zero, sigma) = 0, yields:
% 21.84/5.73 | (268) smaller_or_equal(zero, sigma) = 0
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (267) with all_101_0_52, all_101_1_53, all_101_2_54, all_101_3_55 yields:
% 21.84/5.73 | (269) hazard_of_mortality(all_4_10_12, all_4_9_11) = all_101_2_54 & positional_advantage(all_4_10_12, all_4_9_11) = all_101_0_52 & is_aligned(all_4_10_12, all_4_9_11) = all_101_1_53 & organization(all_4_10_12) = all_101_3_55 & ( ~ (all_101_3_55 = 0) | (( ~ (all_27_2_31 = 0) | all_101_2_54 = very_low) & (all_27_2_31 = 0 | (( ~ (all_101_0_52 = 0) | (( ~ (all_101_1_53 = 0) | all_101_2_54 = low) & (all_101_1_53 = 0 | all_101_2_54 = mod1))) & ( ~ (all_101_1_53 = 0) | all_101_0_52 = 0 | all_101_2_54 = mod2) & (all_101_0_52 = 0 | all_101_1_53 = 0 | all_101_2_54 = high)))))
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (269) yields:
% 21.84/5.73 | (270) positional_advantage(all_4_10_12, all_4_9_11) = all_101_0_52
% 21.84/5.73 | (271) is_aligned(all_4_10_12, all_4_9_11) = all_101_1_53
% 21.84/5.73 | (272) hazard_of_mortality(all_4_10_12, all_4_9_11) = all_101_2_54
% 21.84/5.73 | (273) ~ (all_101_3_55 = 0) | (( ~ (all_27_2_31 = 0) | all_101_2_54 = very_low) & (all_27_2_31 = 0 | (( ~ (all_101_0_52 = 0) | (( ~ (all_101_1_53 = 0) | all_101_2_54 = low) & (all_101_1_53 = 0 | all_101_2_54 = mod1))) & ( ~ (all_101_1_53 = 0) | all_101_0_52 = 0 | all_101_2_54 = mod2) & (all_101_0_52 = 0 | all_101_1_53 = 0 | all_101_2_54 = high))))
% 21.84/5.73 | (274) organization(all_4_10_12) = all_101_3_55
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (265) with all_103_0_56, all_103_1_57, all_103_2_58, all_103_3_59 yields:
% 21.84/5.73 | (275) hazard_of_mortality(all_4_10_12, all_4_8_10) = all_103_2_58 & positional_advantage(all_4_10_12, all_4_8_10) = all_103_0_56 & is_aligned(all_4_10_12, all_4_8_10) = all_103_1_57 & organization(all_4_10_12) = all_103_3_59 & ( ~ (all_103_3_59 = 0) | (( ~ (all_13_2_15 = 0) | all_103_2_58 = very_low) & (all_13_2_15 = 0 | (( ~ (all_103_0_56 = 0) | (( ~ (all_103_1_57 = 0) | all_103_2_58 = low) & (all_103_1_57 = 0 | all_103_2_58 = mod1))) & ( ~ (all_103_1_57 = 0) | all_103_0_56 = 0 | all_103_2_58 = mod2) & (all_103_0_56 = 0 | all_103_1_57 = 0 | all_103_2_58 = high)))))
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (275) yields:
% 21.84/5.73 | (276) positional_advantage(all_4_10_12, all_4_8_10) = all_103_0_56
% 21.84/5.73 | (277) organization(all_4_10_12) = all_103_3_59
% 21.84/5.73 | (278) ~ (all_103_3_59 = 0) | (( ~ (all_13_2_15 = 0) | all_103_2_58 = very_low) & (all_13_2_15 = 0 | (( ~ (all_103_0_56 = 0) | (( ~ (all_103_1_57 = 0) | all_103_2_58 = low) & (all_103_1_57 = 0 | all_103_2_58 = mod1))) & ( ~ (all_103_1_57 = 0) | all_103_0_56 = 0 | all_103_2_58 = mod2) & (all_103_0_56 = 0 | all_103_1_57 = 0 | all_103_2_58 = high))))
% 21.84/5.73 | (279) hazard_of_mortality(all_4_10_12, all_4_8_10) = all_103_2_58
% 21.84/5.73 | (280) is_aligned(all_4_10_12, all_4_8_10) = all_103_1_57
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (256) with all_105_0_60, all_105_1_61 yields:
% 21.84/5.73 | (281) dissimilar(all_4_10_12, all_4_9_11, all_4_7_9) = all_105_1_61 & organization(all_4_10_12) = all_105_0_60 & ( ~ (all_105_1_61 = 0) | (all_105_0_60 = 0 & ~ (all_15_1_18 = 0)))
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (281) yields:
% 21.84/5.73 | (282) dissimilar(all_4_10_12, all_4_9_11, all_4_7_9) = all_105_1_61
% 21.84/5.73 | (283) organization(all_4_10_12) = all_105_0_60
% 21.84/5.73 | (284) ~ (all_105_1_61 = 0) | (all_105_0_60 = 0 & ~ (all_15_1_18 = 0))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (253) with all_107_0_62, all_107_1_63, all_107_2_64, all_107_3_65 yields:
% 21.84/5.73 | (285) hazard_of_mortality(all_4_10_12, all_4_8_10) = all_107_1_63 & positional_advantage(all_4_10_12, all_4_8_10) = all_107_0_62 & has_immunity(all_4_10_12, all_4_8_10) = all_107_2_64 & organization(all_4_10_12) = all_107_3_65 & ( ~ (all_107_3_65 = 0) | (( ~ (all_107_2_64 = 0) | all_107_1_63 = very_low) & (all_107_2_64 = 0 | (( ~ (all_107_0_62 = 0) | (( ~ (all_13_1_14 = 0) | all_107_1_63 = low) & (all_107_1_63 = mod1 | all_13_1_14 = 0))) & ( ~ (all_13_1_14 = 0) | all_107_0_62 = 0 | all_107_1_63 = mod2) & (all_107_0_62 = 0 | all_107_1_63 = high | all_13_1_14 = 0)))))
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (285) yields:
% 21.84/5.73 | (286) positional_advantage(all_4_10_12, all_4_8_10) = all_107_0_62
% 21.84/5.73 | (287) hazard_of_mortality(all_4_10_12, all_4_8_10) = all_107_1_63
% 21.84/5.73 | (288) organization(all_4_10_12) = all_107_3_65
% 21.84/5.73 | (289) has_immunity(all_4_10_12, all_4_8_10) = all_107_2_64
% 21.84/5.73 | (290) ~ (all_107_3_65 = 0) | (( ~ (all_107_2_64 = 0) | all_107_1_63 = very_low) & (all_107_2_64 = 0 | (( ~ (all_107_0_62 = 0) | (( ~ (all_13_1_14 = 0) | all_107_1_63 = low) & (all_107_1_63 = mod1 | all_13_1_14 = 0))) & ( ~ (all_13_1_14 = 0) | all_107_0_62 = 0 | all_107_1_63 = mod2) & (all_107_0_62 = 0 | all_107_1_63 = high | all_13_1_14 = 0))))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (252) with all_109_0_66, all_109_1_67 yields:
% 21.84/5.73 | (291) ~ (all_109_1_67 = 0) & dissimilar(all_4_10_12, all_4_8_10, all_4_8_10) = all_109_1_67 & organization(all_4_10_12) = all_109_0_66
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (291) yields:
% 21.84/5.73 | (292) ~ (all_109_1_67 = 0)
% 21.84/5.73 | (293) dissimilar(all_4_10_12, all_4_8_10, all_4_8_10) = all_109_1_67
% 21.84/5.73 | (294) organization(all_4_10_12) = all_109_0_66
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (263) with all_111_0_68, all_111_1_69, all_111_2_70, all_111_3_71 yields:
% 21.84/5.73 | (295) hazard_of_mortality(all_4_10_12, all_4_7_9) = all_111_2_70 & positional_advantage(all_4_10_12, all_4_7_9) = all_111_0_68 & is_aligned(all_4_10_12, all_4_7_9) = all_111_1_69 & organization(all_4_10_12) = all_111_3_71 & ( ~ (all_111_3_71 = 0) | (( ~ (all_15_2_19 = 0) | all_111_2_70 = very_low) & (all_15_2_19 = 0 | (( ~ (all_111_0_68 = 0) | (( ~ (all_111_1_69 = 0) | all_111_2_70 = low) & (all_111_1_69 = 0 | all_111_2_70 = mod1))) & ( ~ (all_111_1_69 = 0) | all_111_0_68 = 0 | all_111_2_70 = mod2) & (all_111_0_68 = 0 | all_111_1_69 = 0 | all_111_2_70 = high)))))
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (295) yields:
% 21.84/5.73 | (296) hazard_of_mortality(all_4_10_12, all_4_7_9) = all_111_2_70
% 21.84/5.73 | (297) organization(all_4_10_12) = all_111_3_71
% 21.84/5.73 | (298) positional_advantage(all_4_10_12, all_4_7_9) = all_111_0_68
% 21.84/5.73 | (299) ~ (all_111_3_71 = 0) | (( ~ (all_15_2_19 = 0) | all_111_2_70 = very_low) & (all_15_2_19 = 0 | (( ~ (all_111_0_68 = 0) | (( ~ (all_111_1_69 = 0) | all_111_2_70 = low) & (all_111_1_69 = 0 | all_111_2_70 = mod1))) & ( ~ (all_111_1_69 = 0) | all_111_0_68 = 0 | all_111_2_70 = mod2) & (all_111_0_68 = 0 | all_111_1_69 = 0 | all_111_2_70 = high))))
% 21.84/5.73 | (300) is_aligned(all_4_10_12, all_4_7_9) = all_111_1_69
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (260) with all_113_0_72, all_113_1_73 yields:
% 21.84/5.73 | (301) is_aligned(all_4_10_12, all_4_7_9) = all_113_0_72 & is_aligned(all_4_10_12, all_4_9_11) = all_113_1_73 & organization(all_4_10_12) = 0 & ( ~ (all_113_0_72 = 0) | ~ (all_113_1_73 = 0)) & (all_113_0_72 = 0 | all_113_1_73 = 0)
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (301) yields:
% 21.84/5.73 | (302) ~ (all_113_0_72 = 0) | ~ (all_113_1_73 = 0)
% 21.84/5.73 | (56) organization(all_4_10_12) = 0
% 21.84/5.73 | (304) is_aligned(all_4_10_12, all_4_7_9) = all_113_0_72
% 21.84/5.73 | (305) all_113_0_72 = 0 | all_113_1_73 = 0
% 21.84/5.73 | (306) is_aligned(all_4_10_12, all_4_9_11) = all_113_1_73
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (258) with all_115_0_74, all_115_1_75 yields:
% 21.84/5.73 | (307) dissimilar(all_4_10_12, all_4_8_10, all_4_9_11) = all_115_1_75 & organization(all_4_10_12) = all_115_0_74 & ( ~ (all_115_1_75 = 0) | (all_115_0_74 = 0 & ~ (all_13_1_14 = 0)))
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (307) yields:
% 21.84/5.73 | (308) dissimilar(all_4_10_12, all_4_8_10, all_4_9_11) = all_115_1_75
% 21.84/5.73 | (309) organization(all_4_10_12) = all_115_0_74
% 21.84/5.73 | (310) ~ (all_115_1_75 = 0) | (all_115_0_74 = 0 & ~ (all_13_1_14 = 0))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (251) with all_117_0_76, all_117_1_77 yields:
% 21.84/5.73 | (311) dissimilar(all_4_10_12, all_4_8_10, all_4_7_9) = all_117_1_77 & organization(all_4_10_12) = all_117_0_76 & ( ~ (all_117_1_77 = 0) | (all_117_0_76 = 0 & ( ~ (all_15_1_18 = 0) | ~ (all_13_1_14 = 0)) & (all_15_1_18 = 0 | all_13_1_14 = 0)))
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (311) yields:
% 21.84/5.73 | (312) dissimilar(all_4_10_12, all_4_8_10, all_4_7_9) = all_117_1_77
% 21.84/5.73 | (313) organization(all_4_10_12) = all_117_0_76
% 21.84/5.73 | (314) ~ (all_117_1_77 = 0) | (all_117_0_76 = 0 & ( ~ (all_15_1_18 = 0) | ~ (all_13_1_14 = 0)) & (all_15_1_18 = 0 | all_13_1_14 = 0))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (255) with all_119_0_78, all_119_1_79 yields:
% 21.84/5.73 | (315) dissimilar(all_4_10_12, all_4_7_9, all_4_9_11) = all_119_1_79 & organization(all_4_10_12) = all_119_0_78 & ( ~ (all_119_1_79 = 0) | (all_119_0_78 = 0 & ~ (all_15_1_18 = 0)))
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (315) yields:
% 21.84/5.73 | (316) dissimilar(all_4_10_12, all_4_7_9, all_4_9_11) = all_119_1_79
% 21.84/5.73 | (317) organization(all_4_10_12) = all_119_0_78
% 21.84/5.73 | (318) ~ (all_119_1_79 = 0) | (all_119_0_78 = 0 & ~ (all_15_1_18 = 0))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (250) with all_121_0_80, all_121_1_81 yields:
% 21.84/5.73 | (319) dissimilar(all_4_10_12, all_4_7_9, all_4_8_10) = all_121_1_81 & organization(all_4_10_12) = all_121_0_80 & ( ~ (all_121_1_81 = 0) | (all_121_0_80 = 0 & ( ~ (all_15_1_18 = 0) | ~ (all_13_1_14 = 0)) & (all_15_1_18 = 0 | all_13_1_14 = 0)))
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (319) yields:
% 21.84/5.73 | (320) dissimilar(all_4_10_12, all_4_7_9, all_4_8_10) = all_121_1_81
% 21.84/5.73 | (321) organization(all_4_10_12) = all_121_0_80
% 21.84/5.73 | (322) ~ (all_121_1_81 = 0) | (all_121_0_80 = 0 & ( ~ (all_15_1_18 = 0) | ~ (all_13_1_14 = 0)) & (all_15_1_18 = 0 | all_13_1_14 = 0))
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (248) with all_123_0_82, all_123_1_83 yields:
% 21.84/5.73 | (323) ~ (all_123_1_83 = 0) & dissimilar(all_4_10_12, all_4_7_9, all_4_7_9) = all_123_1_83 & organization(all_4_10_12) = all_123_0_82
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (323) yields:
% 21.84/5.73 | (324) ~ (all_123_1_83 = 0)
% 21.84/5.73 | (325) dissimilar(all_4_10_12, all_4_7_9, all_4_7_9) = all_123_1_83
% 21.84/5.73 | (326) organization(all_4_10_12) = all_123_0_82
% 21.84/5.73 |
% 21.84/5.73 | Instantiating (249) with all_125_0_84, all_125_1_85, all_125_2_86, all_125_3_87 yields:
% 21.84/5.73 | (327) hazard_of_mortality(all_4_10_12, all_4_7_9) = all_125_1_85 & positional_advantage(all_4_10_12, all_4_7_9) = all_125_0_84 & has_immunity(all_4_10_12, all_4_7_9) = all_125_2_86 & organization(all_4_10_12) = all_125_3_87 & ( ~ (all_125_3_87 = 0) | (( ~ (all_125_2_86 = 0) | all_125_1_85 = very_low) & (all_125_2_86 = 0 | (( ~ (all_125_0_84 = 0) | (( ~ (all_15_1_18 = 0) | all_125_1_85 = low) & (all_125_1_85 = mod1 | all_15_1_18 = 0))) & ( ~ (all_15_1_18 = 0) | all_125_0_84 = 0 | all_125_1_85 = mod2) & (all_125_0_84 = 0 | all_125_1_85 = high | all_15_1_18 = 0)))))
% 21.84/5.73 |
% 21.84/5.73 | Applying alpha-rule on (327) yields:
% 21.84/5.73 | (328) has_immunity(all_4_10_12, all_4_7_9) = all_125_2_86
% 21.84/5.73 | (329) ~ (all_125_3_87 = 0) | (( ~ (all_125_2_86 = 0) | all_125_1_85 = very_low) & (all_125_2_86 = 0 | (( ~ (all_125_0_84 = 0) | (( ~ (all_15_1_18 = 0) | all_125_1_85 = low) & (all_125_1_85 = mod1 | all_15_1_18 = 0))) & ( ~ (all_15_1_18 = 0) | all_125_0_84 = 0 | all_125_1_85 = mod2) & (all_125_0_84 = 0 | all_125_1_85 = high | all_15_1_18 = 0))))
% 21.84/5.74 | (330) positional_advantage(all_4_10_12, all_4_7_9) = all_125_0_84
% 21.84/5.74 | (331) organization(all_4_10_12) = all_125_3_87
% 21.84/5.74 | (332) hazard_of_mortality(all_4_10_12, all_4_7_9) = all_125_1_85
% 21.84/5.74 |
% 21.84/5.74 | Instantiating (247) with all_127_0_88, all_127_1_89, all_127_2_90, all_127_3_91 yields:
% 21.84/5.74 | (333) hazard_of_mortality(all_4_10_12, all_4_9_11) = all_127_1_89 & is_aligned(all_4_10_12, all_4_9_11) = all_127_0_88 & has_immunity(all_4_10_12, all_4_9_11) = all_127_2_90 & organization(all_4_10_12) = all_127_3_91 & ( ~ (all_127_3_91 = 0) | (( ~ (all_127_2_90 = 0) | all_127_1_89 = very_low) & (all_127_2_90 = 0 | (( ~ (all_127_0_88 = 0) | all_127_1_89 = mod2 | all_27_0_29 = 0) & ( ~ (all_27_0_29 = 0) | (( ~ (all_127_0_88 = 0) | all_127_1_89 = low) & (all_127_0_88 = 0 | all_127_1_89 = mod1))) & (all_127_0_88 = 0 | all_127_1_89 = high | all_27_0_29 = 0)))))
% 21.84/5.74 |
% 21.84/5.74 | Applying alpha-rule on (333) yields:
% 21.84/5.74 | (334) hazard_of_mortality(all_4_10_12, all_4_9_11) = all_127_1_89
% 21.84/5.74 | (335) is_aligned(all_4_10_12, all_4_9_11) = all_127_0_88
% 21.84/5.74 | (336) has_immunity(all_4_10_12, all_4_9_11) = all_127_2_90
% 21.84/5.74 | (337) organization(all_4_10_12) = all_127_3_91
% 21.84/5.74 | (338) ~ (all_127_3_91 = 0) | (( ~ (all_127_2_90 = 0) | all_127_1_89 = very_low) & (all_127_2_90 = 0 | (( ~ (all_127_0_88 = 0) | all_127_1_89 = mod2 | all_27_0_29 = 0) & ( ~ (all_27_0_29 = 0) | (( ~ (all_127_0_88 = 0) | all_127_1_89 = low) & (all_127_0_88 = 0 | all_127_1_89 = mod1))) & (all_127_0_88 = 0 | all_127_1_89 = high | all_27_0_29 = 0))))
% 21.84/5.74 |
% 21.84/5.74 | Instantiating (245) with all_129_0_92, all_129_1_93, all_129_2_94, all_129_3_95 yields:
% 21.84/5.74 | (339) hazard_of_mortality(all_4_10_12, all_4_8_10) = all_129_1_93 & is_aligned(all_4_10_12, all_4_8_10) = all_129_0_92 & has_immunity(all_4_10_12, all_4_8_10) = all_129_2_94 & organization(all_4_10_12) = all_129_3_95 & ( ~ (all_129_3_95 = 0) | (( ~ (all_129_2_94 = 0) | all_129_1_93 = very_low) & (all_129_2_94 = 0 | (( ~ (all_129_0_92 = 0) | all_129_1_93 = mod2 | all_13_0_13 = 0) & ( ~ (all_13_0_13 = 0) | (( ~ (all_129_0_92 = 0) | all_129_1_93 = low) & (all_129_0_92 = 0 | all_129_1_93 = mod1))) & (all_129_0_92 = 0 | all_129_1_93 = high | all_13_0_13 = 0)))))
% 21.84/5.74 |
% 21.84/5.74 | Applying alpha-rule on (339) yields:
% 21.84/5.74 | (340) is_aligned(all_4_10_12, all_4_8_10) = all_129_0_92
% 21.84/5.74 | (341) has_immunity(all_4_10_12, all_4_8_10) = all_129_2_94
% 21.84/5.74 | (342) ~ (all_129_3_95 = 0) | (( ~ (all_129_2_94 = 0) | all_129_1_93 = very_low) & (all_129_2_94 = 0 | (( ~ (all_129_0_92 = 0) | all_129_1_93 = mod2 | all_13_0_13 = 0) & ( ~ (all_13_0_13 = 0) | (( ~ (all_129_0_92 = 0) | all_129_1_93 = low) & (all_129_0_92 = 0 | all_129_1_93 = mod1))) & (all_129_0_92 = 0 | all_129_1_93 = high | all_13_0_13 = 0))))
% 21.84/5.74 | (343) hazard_of_mortality(all_4_10_12, all_4_8_10) = all_129_1_93
% 21.84/5.74 | (344) organization(all_4_10_12) = all_129_3_95
% 21.84/5.74 |
% 21.84/5.74 | Instantiating (244) with all_131_0_96, all_131_1_97, all_131_2_98, all_131_3_99 yields:
% 21.84/5.74 | (345) hazard_of_mortality(all_4_10_12, all_4_7_9) = all_131_1_97 & is_aligned(all_4_10_12, all_4_7_9) = all_131_0_96 & has_immunity(all_4_10_12, all_4_7_9) = all_131_2_98 & organization(all_4_10_12) = all_131_3_99 & ( ~ (all_131_3_99 = 0) | (( ~ (all_131_2_98 = 0) | all_131_1_97 = very_low) & (all_131_2_98 = 0 | (( ~ (all_131_0_96 = 0) | all_131_1_97 = low) & (all_131_0_96 = 0 | all_131_1_97 = mod1)))))
% 21.84/5.74 |
% 21.84/5.74 | Applying alpha-rule on (345) yields:
% 21.84/5.74 | (346) hazard_of_mortality(all_4_10_12, all_4_7_9) = all_131_1_97
% 21.84/5.74 | (347) has_immunity(all_4_10_12, all_4_7_9) = all_131_2_98
% 21.84/5.74 | (348) is_aligned(all_4_10_12, all_4_7_9) = all_131_0_96
% 21.84/5.74 | (349) organization(all_4_10_12) = all_131_3_99
% 21.84/5.74 | (350) ~ (all_131_3_99 = 0) | (( ~ (all_131_2_98 = 0) | all_131_1_97 = very_low) & (all_131_2_98 = 0 | (( ~ (all_131_0_96 = 0) | all_131_1_97 = low) & (all_131_0_96 = 0 | all_131_1_97 = mod1))))
% 21.84/5.74 |
% 21.84/5.74 | Instantiating (259) with all_133_0_100, all_133_1_101, all_133_2_102, all_133_3_103 yields:
% 21.84/5.74 | (351) hazard_of_mortality(all_4_10_12, all_4_9_11) = all_133_1_101 & positional_advantage(all_4_10_12, all_4_9_11) = all_133_0_100 & has_immunity(all_4_10_12, all_4_9_11) = all_133_2_102 & organization(all_4_10_12) = all_133_3_103 & ( ~ (all_133_3_103 = 0) | (( ~ (all_133_2_102 = 0) | all_133_1_101 = very_low) & (all_133_2_102 = 0 | (( ~ (all_133_0_100 = 0) | all_133_1_101 = low) & (all_133_0_100 = 0 | all_133_1_101 = mod2)))))
% 21.84/5.74 |
% 21.84/5.74 | Applying alpha-rule on (351) yields:
% 21.84/5.74 | (352) positional_advantage(all_4_10_12, all_4_9_11) = all_133_0_100
% 21.84/5.74 | (353) has_immunity(all_4_10_12, all_4_9_11) = all_133_2_102
% 21.84/5.74 | (354) ~ (all_133_3_103 = 0) | (( ~ (all_133_2_102 = 0) | all_133_1_101 = very_low) & (all_133_2_102 = 0 | (( ~ (all_133_0_100 = 0) | all_133_1_101 = low) & (all_133_0_100 = 0 | all_133_1_101 = mod2))))
% 21.84/5.74 | (355) organization(all_4_10_12) = all_133_3_103
% 21.84/5.74 | (356) hazard_of_mortality(all_4_10_12, all_4_9_11) = all_133_1_101
% 21.84/5.74 |
% 21.84/5.74 +-Applying beta-rule and splitting (179), into two cases.
% 21.84/5.74 |-Branch one:
% 21.84/5.74 | (357) ~ (smaller_or_equal(zero, sigma) = all_37_1_44)
% 21.84/5.74 |
% 21.84/5.74 | From (178) and (357) follows:
% 21.84/5.74 | (358) ~ (smaller_or_equal(zero, sigma) = 0)
% 21.84/5.74 |
% 21.84/5.74 | Using (268) and (358) yields:
% 21.84/5.74 | (359) $false
% 21.84/5.74 |
% 21.84/5.74 |-The branch is then unsatisfiable
% 21.84/5.74 |-Branch two:
% 21.84/5.74 | (360) smaller_or_equal(zero, sigma) = all_37_1_44
% 21.84/5.74 | (361) all_37_1_44 = all_33_1_40
% 21.84/5.74 |
% 21.84/5.74 | Combining equations (178,361) yields a new equation:
% 21.84/5.74 | (362) all_33_1_40 = 0
% 21.84/5.74 |
% 21.84/5.74 +-Applying beta-rule and splitting (246), into two cases.
% 21.84/5.74 |-Branch one:
% 21.84/5.74 | (363) ~ (positional_advantage(all_4_10_12, all_4_9_11) = 0)
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (9) with all_4_10_12, all_4_7_9, all_125_1_85, all_4_3_5 and discharging atoms hazard_of_mortality(all_4_10_12, all_4_7_9) = all_125_1_85, hazard_of_mortality(all_4_10_12, all_4_7_9) = all_4_3_5, yields:
% 21.84/5.74 | (364) all_125_1_85 = all_4_3_5
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (9) with all_4_10_12, all_4_7_9, all_125_1_85, all_131_1_97 and discharging atoms hazard_of_mortality(all_4_10_12, all_4_7_9) = all_131_1_97, hazard_of_mortality(all_4_10_12, all_4_7_9) = all_125_1_85, yields:
% 21.84/5.74 | (365) all_131_1_97 = all_125_1_85
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (9) with all_4_10_12, all_4_7_9, all_111_2_70, all_131_1_97 and discharging atoms hazard_of_mortality(all_4_10_12, all_4_7_9) = all_131_1_97, hazard_of_mortality(all_4_10_12, all_4_7_9) = all_111_2_70, yields:
% 21.84/5.74 | (366) all_131_1_97 = all_111_2_70
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (9) with all_4_10_12, all_4_8_10, all_129_1_93, all_4_2_4 and discharging atoms hazard_of_mortality(all_4_10_12, all_4_8_10) = all_129_1_93, hazard_of_mortality(all_4_10_12, all_4_8_10) = all_4_2_4, yields:
% 21.84/5.74 | (367) all_129_1_93 = all_4_2_4
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (9) with all_4_10_12, all_4_8_10, all_107_1_63, all_129_1_93 and discharging atoms hazard_of_mortality(all_4_10_12, all_4_8_10) = all_129_1_93, hazard_of_mortality(all_4_10_12, all_4_8_10) = all_107_1_63, yields:
% 21.84/5.74 | (368) all_129_1_93 = all_107_1_63
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (9) with all_4_10_12, all_4_8_10, all_103_2_58, all_129_1_93 and discharging atoms hazard_of_mortality(all_4_10_12, all_4_8_10) = all_129_1_93, hazard_of_mortality(all_4_10_12, all_4_8_10) = all_103_2_58, yields:
% 21.84/5.74 | (369) all_129_1_93 = all_103_2_58
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (10) with all_4_10_12, all_4_7_9, all_125_0_84, 0 and discharging atoms positional_advantage(all_4_10_12, all_4_7_9) = all_125_0_84, positional_advantage(all_4_10_12, all_4_7_9) = 0, yields:
% 21.84/5.74 | (370) all_125_0_84 = 0
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (10) with all_4_10_12, all_4_7_9, all_111_0_68, all_125_0_84 and discharging atoms positional_advantage(all_4_10_12, all_4_7_9) = all_125_0_84, positional_advantage(all_4_10_12, all_4_7_9) = all_111_0_68, yields:
% 21.84/5.74 | (371) all_125_0_84 = all_111_0_68
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (10) with all_4_10_12, all_4_9_11, all_133_0_100, all_27_0_29 and discharging atoms positional_advantage(all_4_10_12, all_4_9_11) = all_133_0_100, positional_advantage(all_4_10_12, all_4_9_11) = all_27_0_29, yields:
% 21.84/5.74 | (372) all_133_0_100 = all_27_0_29
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (10) with all_4_10_12, all_4_9_11, all_101_0_52, all_133_0_100 and discharging atoms positional_advantage(all_4_10_12, all_4_9_11) = all_133_0_100, positional_advantage(all_4_10_12, all_4_9_11) = all_101_0_52, yields:
% 21.84/5.74 | (373) all_133_0_100 = all_101_0_52
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (14) with all_4_10_12, all_4_7_9, all_113_0_72, all_15_1_18 and discharging atoms is_aligned(all_4_10_12, all_4_7_9) = all_113_0_72, is_aligned(all_4_10_12, all_4_7_9) = all_15_1_18, yields:
% 21.84/5.74 | (374) all_113_0_72 = all_15_1_18
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (14) with all_4_10_12, all_4_7_9, all_113_0_72, all_131_0_96 and discharging atoms is_aligned(all_4_10_12, all_4_7_9) = all_131_0_96, is_aligned(all_4_10_12, all_4_7_9) = all_113_0_72, yields:
% 21.84/5.74 | (375) all_131_0_96 = all_113_0_72
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (14) with all_4_10_12, all_4_7_9, all_111_1_69, all_131_0_96 and discharging atoms is_aligned(all_4_10_12, all_4_7_9) = all_131_0_96, is_aligned(all_4_10_12, all_4_7_9) = all_111_1_69, yields:
% 21.84/5.74 | (376) all_131_0_96 = all_111_1_69
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (14) with all_4_10_12, all_4_8_10, all_129_0_92, all_13_1_14 and discharging atoms is_aligned(all_4_10_12, all_4_8_10) = all_129_0_92, is_aligned(all_4_10_12, all_4_8_10) = all_13_1_14, yields:
% 21.84/5.74 | (377) all_129_0_92 = all_13_1_14
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (14) with all_4_10_12, all_4_8_10, all_103_1_57, all_129_0_92 and discharging atoms is_aligned(all_4_10_12, all_4_8_10) = all_129_0_92, is_aligned(all_4_10_12, all_4_8_10) = all_103_1_57, yields:
% 21.84/5.74 | (378) all_129_0_92 = all_103_1_57
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (14) with all_4_10_12, all_4_9_11, all_127_0_88, 0 and discharging atoms is_aligned(all_4_10_12, all_4_9_11) = all_127_0_88, is_aligned(all_4_10_12, all_4_9_11) = 0, yields:
% 21.84/5.74 | (379) all_127_0_88 = 0
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (14) with all_4_10_12, all_4_9_11, all_113_1_73, all_127_0_88 and discharging atoms is_aligned(all_4_10_12, all_4_9_11) = all_127_0_88, is_aligned(all_4_10_12, all_4_9_11) = all_113_1_73, yields:
% 21.84/5.74 | (380) all_127_0_88 = all_113_1_73
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (14) with all_4_10_12, all_4_9_11, all_101_1_53, all_127_0_88 and discharging atoms is_aligned(all_4_10_12, all_4_9_11) = all_127_0_88, is_aligned(all_4_10_12, all_4_9_11) = all_101_1_53, yields:
% 21.84/5.74 | (381) all_127_0_88 = all_101_1_53
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (7) with all_4_10_12, all_4_7_9, all_131_2_98, all_15_2_19 and discharging atoms has_immunity(all_4_10_12, all_4_7_9) = all_131_2_98, has_immunity(all_4_10_12, all_4_7_9) = all_15_2_19, yields:
% 21.84/5.74 | (382) all_131_2_98 = all_15_2_19
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (7) with all_4_10_12, all_4_7_9, all_125_2_86, all_131_2_98 and discharging atoms has_immunity(all_4_10_12, all_4_7_9) = all_131_2_98, has_immunity(all_4_10_12, all_4_7_9) = all_125_2_86, yields:
% 21.84/5.74 | (383) all_131_2_98 = all_125_2_86
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (7) with all_4_10_12, all_4_8_10, all_129_2_94, all_13_2_15 and discharging atoms has_immunity(all_4_10_12, all_4_8_10) = all_129_2_94, has_immunity(all_4_10_12, all_4_8_10) = all_13_2_15, yields:
% 21.84/5.74 | (384) all_129_2_94 = all_13_2_15
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (7) with all_4_10_12, all_4_8_10, all_107_2_64, all_129_2_94 and discharging atoms has_immunity(all_4_10_12, all_4_8_10) = all_129_2_94, has_immunity(all_4_10_12, all_4_8_10) = all_107_2_64, yields:
% 21.84/5.74 | (385) all_129_2_94 = all_107_2_64
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (7) with all_4_10_12, all_4_9_11, all_133_2_102, all_27_2_31 and discharging atoms has_immunity(all_4_10_12, all_4_9_11) = all_133_2_102, has_immunity(all_4_10_12, all_4_9_11) = all_27_2_31, yields:
% 21.84/5.74 | (386) all_133_2_102 = all_27_2_31
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (7) with all_4_10_12, all_4_9_11, all_127_2_90, all_133_2_102 and discharging atoms has_immunity(all_4_10_12, all_4_9_11) = all_133_2_102, has_immunity(all_4_10_12, all_4_9_11) = all_127_2_90, yields:
% 21.84/5.74 | (387) all_133_2_102 = all_127_2_90
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_127_3_91, all_129_3_95 and discharging atoms organization(all_4_10_12) = all_129_3_95, organization(all_4_10_12) = all_127_3_91, yields:
% 21.84/5.74 | (388) all_129_3_95 = all_127_3_91
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_125_3_87, all_129_3_95 and discharging atoms organization(all_4_10_12) = all_129_3_95, organization(all_4_10_12) = all_125_3_87, yields:
% 21.84/5.74 | (389) all_129_3_95 = all_125_3_87
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_123_0_82, all_131_3_99 and discharging atoms organization(all_4_10_12) = all_131_3_99, organization(all_4_10_12) = all_123_0_82, yields:
% 21.84/5.74 | (390) all_131_3_99 = all_123_0_82
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_121_0_80, all_133_3_103 and discharging atoms organization(all_4_10_12) = all_133_3_103, organization(all_4_10_12) = all_121_0_80, yields:
% 21.84/5.74 | (391) all_133_3_103 = all_121_0_80
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_119_0_78, all_129_3_95 and discharging atoms organization(all_4_10_12) = all_129_3_95, organization(all_4_10_12) = all_119_0_78, yields:
% 21.84/5.74 | (392) all_129_3_95 = all_119_0_78
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_117_0_76, all_123_0_82 and discharging atoms organization(all_4_10_12) = all_123_0_82, organization(all_4_10_12) = all_117_0_76, yields:
% 21.84/5.74 | (393) all_123_0_82 = all_117_0_76
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_115_0_74, all_133_3_103 and discharging atoms organization(all_4_10_12) = all_133_3_103, organization(all_4_10_12) = all_115_0_74, yields:
% 21.84/5.74 | (394) all_133_3_103 = all_115_0_74
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_115_0_74, all_117_0_76 and discharging atoms organization(all_4_10_12) = all_117_0_76, organization(all_4_10_12) = all_115_0_74, yields:
% 21.84/5.74 | (395) all_117_0_76 = all_115_0_74
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_111_3_71, 0 and discharging atoms organization(all_4_10_12) = all_111_3_71, organization(all_4_10_12) = 0, yields:
% 21.84/5.74 | (396) all_111_3_71 = 0
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_111_3_71, all_119_0_78 and discharging atoms organization(all_4_10_12) = all_119_0_78, organization(all_4_10_12) = all_111_3_71, yields:
% 21.84/5.74 | (397) all_119_0_78 = all_111_3_71
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_111_3_71, all_115_0_74 and discharging atoms organization(all_4_10_12) = all_115_0_74, organization(all_4_10_12) = all_111_3_71, yields:
% 21.84/5.74 | (398) all_115_0_74 = all_111_3_71
% 21.84/5.74 |
% 21.84/5.74 | Instantiating formula (11) with all_4_10_12, all_109_0_66, all_131_3_99 and discharging atoms organization(all_4_10_12) = all_131_3_99, organization(all_4_10_12) = all_109_0_66, yields:
% 21.84/5.75 | (399) all_131_3_99 = all_109_0_66
% 21.84/5.75 |
% 21.84/5.75 | Instantiating formula (11) with all_4_10_12, all_107_3_65, all_127_3_91 and discharging atoms organization(all_4_10_12) = all_127_3_91, organization(all_4_10_12) = all_107_3_65, yields:
% 21.84/5.75 | (400) all_127_3_91 = all_107_3_65
% 21.84/5.75 |
% 21.84/5.75 | Instantiating formula (11) with all_4_10_12, all_105_0_60, all_133_3_103 and discharging atoms organization(all_4_10_12) = all_133_3_103, organization(all_4_10_12) = all_105_0_60, yields:
% 21.84/5.75 | (401) all_133_3_103 = all_105_0_60
% 21.84/5.75 |
% 21.84/5.75 | Instantiating formula (11) with all_4_10_12, all_103_3_59, all_111_3_71 and discharging atoms organization(all_4_10_12) = all_111_3_71, organization(all_4_10_12) = all_103_3_59, yields:
% 21.84/5.75 | (402) all_111_3_71 = all_103_3_59
% 21.84/5.75 |
% 21.84/5.75 | Instantiating formula (11) with all_4_10_12, all_101_3_55, all_111_3_71 and discharging atoms organization(all_4_10_12) = all_111_3_71, organization(all_4_10_12) = all_101_3_55, yields:
% 21.84/5.75 | (403) all_111_3_71 = all_101_3_55
% 21.84/5.75 |
% 21.84/5.75 | Using (270) and (363) yields:
% 21.84/5.75 | (404) ~ (all_101_0_52 = 0)
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (372,373) yields a new equation:
% 21.84/5.75 | (405) all_101_0_52 = all_27_0_29
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (386,387) yields a new equation:
% 21.84/5.75 | (406) all_127_2_90 = all_27_2_31
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (394,391) yields a new equation:
% 21.84/5.75 | (407) all_121_0_80 = all_115_0_74
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (401,391) yields a new equation:
% 21.84/5.75 | (408) all_121_0_80 = all_105_0_60
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (375,376) yields a new equation:
% 21.84/5.75 | (409) all_113_0_72 = all_111_1_69
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 409 yields:
% 21.84/5.75 | (410) all_113_0_72 = all_111_1_69
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (365,366) yields a new equation:
% 21.84/5.75 | (411) all_125_1_85 = all_111_2_70
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 411 yields:
% 21.84/5.75 | (412) all_125_1_85 = all_111_2_70
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (382,383) yields a new equation:
% 21.84/5.75 | (413) all_125_2_86 = all_15_2_19
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (390,399) yields a new equation:
% 21.84/5.75 | (414) all_123_0_82 = all_109_0_66
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 414 yields:
% 21.84/5.75 | (415) all_123_0_82 = all_109_0_66
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (377,378) yields a new equation:
% 21.84/5.75 | (416) all_103_1_57 = all_13_1_14
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (367,368) yields a new equation:
% 21.84/5.75 | (417) all_107_1_63 = all_4_2_4
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (369,368) yields a new equation:
% 21.84/5.75 | (418) all_107_1_63 = all_103_2_58
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (385,384) yields a new equation:
% 21.84/5.75 | (419) all_107_2_64 = all_13_2_15
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 419 yields:
% 21.84/5.75 | (420) all_107_2_64 = all_13_2_15
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (388,389) yields a new equation:
% 21.84/5.75 | (421) all_127_3_91 = all_125_3_87
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 421 yields:
% 21.84/5.75 | (422) all_127_3_91 = all_125_3_87
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (392,389) yields a new equation:
% 21.84/5.75 | (423) all_125_3_87 = all_119_0_78
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (381,380) yields a new equation:
% 21.84/5.75 | (424) all_113_1_73 = all_101_1_53
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (379,380) yields a new equation:
% 21.84/5.75 | (425) all_113_1_73 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (422,400) yields a new equation:
% 21.84/5.75 | (426) all_125_3_87 = all_107_3_65
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 426 yields:
% 21.84/5.75 | (427) all_125_3_87 = all_107_3_65
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (371,370) yields a new equation:
% 21.84/5.75 | (428) all_111_0_68 = 0
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 428 yields:
% 21.84/5.75 | (429) all_111_0_68 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (364,412) yields a new equation:
% 21.84/5.75 | (430) all_111_2_70 = all_4_3_5
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (423,427) yields a new equation:
% 21.84/5.75 | (431) all_119_0_78 = all_107_3_65
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 431 yields:
% 21.84/5.75 | (432) all_119_0_78 = all_107_3_65
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (393,415) yields a new equation:
% 21.84/5.75 | (433) all_117_0_76 = all_109_0_66
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 433 yields:
% 21.84/5.75 | (434) all_117_0_76 = all_109_0_66
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (407,408) yields a new equation:
% 21.84/5.75 | (435) all_115_0_74 = all_105_0_60
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 435 yields:
% 21.84/5.75 | (436) all_115_0_74 = all_105_0_60
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (397,432) yields a new equation:
% 21.84/5.75 | (437) all_111_3_71 = all_107_3_65
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 437 yields:
% 21.84/5.75 | (438) all_111_3_71 = all_107_3_65
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (395,434) yields a new equation:
% 21.84/5.75 | (439) all_115_0_74 = all_109_0_66
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 439 yields:
% 21.84/5.75 | (440) all_115_0_74 = all_109_0_66
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (398,440) yields a new equation:
% 21.84/5.75 | (441) all_111_3_71 = all_109_0_66
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 441 yields:
% 21.84/5.75 | (442) all_111_3_71 = all_109_0_66
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (436,440) yields a new equation:
% 21.84/5.75 | (443) all_109_0_66 = all_105_0_60
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (410,374) yields a new equation:
% 21.84/5.75 | (444) all_111_1_69 = all_15_1_18
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 444 yields:
% 21.84/5.75 | (445) all_111_1_69 = all_15_1_18
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (425,424) yields a new equation:
% 21.84/5.75 | (446) all_101_1_53 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (403,438) yields a new equation:
% 21.84/5.75 | (447) all_107_3_65 = all_101_3_55
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (396,438) yields a new equation:
% 21.84/5.75 | (448) all_107_3_65 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (402,438) yields a new equation:
% 21.84/5.75 | (449) all_107_3_65 = all_103_3_59
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (442,438) yields a new equation:
% 21.84/5.75 | (450) all_109_0_66 = all_107_3_65
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 450 yields:
% 21.84/5.75 | (451) all_109_0_66 = all_107_3_65
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (451,443) yields a new equation:
% 21.84/5.75 | (452) all_107_3_65 = all_105_0_60
% 21.84/5.75 |
% 21.84/5.75 | Simplifying 452 yields:
% 21.84/5.75 | (453) all_107_3_65 = all_105_0_60
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (417,418) yields a new equation:
% 21.84/5.75 | (454) all_103_2_58 = all_4_2_4
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (449,453) yields a new equation:
% 21.84/5.75 | (455) all_105_0_60 = all_103_3_59
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (447,453) yields a new equation:
% 21.84/5.75 | (456) all_105_0_60 = all_101_3_55
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (448,453) yields a new equation:
% 21.84/5.75 | (457) all_105_0_60 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (456,455) yields a new equation:
% 21.84/5.75 | (458) all_103_3_59 = all_101_3_55
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (457,455) yields a new equation:
% 21.84/5.75 | (459) all_103_3_59 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (459,458) yields a new equation:
% 21.84/5.75 | (460) all_101_3_55 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (460,458) yields a new equation:
% 21.84/5.75 | (459) all_103_3_59 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (459,455) yields a new equation:
% 21.84/5.75 | (457) all_105_0_60 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (457,453) yields a new equation:
% 21.84/5.75 | (448) all_107_3_65 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (454,418) yields a new equation:
% 21.84/5.75 | (417) all_107_1_63 = all_4_2_4
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (448,438) yields a new equation:
% 21.84/5.75 | (396) all_111_3_71 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (446,424) yields a new equation:
% 21.84/5.75 | (425) all_113_1_73 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (448,427) yields a new equation:
% 21.84/5.75 | (467) all_125_3_87 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (467,389) yields a new equation:
% 21.84/5.75 | (468) all_129_3_95 = 0
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (417,368) yields a new equation:
% 21.84/5.75 | (367) all_129_1_93 = all_4_2_4
% 21.84/5.75 |
% 21.84/5.75 | Combining equations (416,378) yields a new equation:
% 21.84/5.75 | (377) all_129_0_92 = all_13_1_14
% 21.84/5.75 |
% 21.84/5.75 | Equations (405) can reduce 404 to:
% 21.84/5.75 | (471) ~ (all_27_0_29 = 0)
% 21.84/5.75 |
% 21.84/5.75 | From (413) and (328) follows:
% 21.84/5.75 | (105) has_immunity(all_4_10_12, all_4_7_9) = all_15_2_19
% 21.84/5.75 |
% 21.84/5.75 | From (420) and (289) follows:
% 21.84/5.75 | (99) has_immunity(all_4_10_12, all_4_8_10) = all_13_2_15
% 21.84/5.75 |
% 21.84/5.75 | From (406) and (336) follows:
% 21.84/5.75 | (118) has_immunity(all_4_10_12, all_4_9_11) = all_27_2_31
% 21.84/5.75 |
% 21.84/5.75 | From (460) and (274) follows:
% 21.84/5.75 | (56) organization(all_4_10_12) = 0
% 21.84/5.75 |
% 21.84/5.75 +-Applying beta-rule and splitting (302), into two cases.
% 21.84/5.75 |-Branch one:
% 21.84/5.75 | (476) ~ (all_113_0_72 = 0)
% 21.84/5.75 |
% 21.84/5.75 | Equations (374) can reduce 476 to:
% 21.84/5.75 | (477) ~ (all_15_1_18 = 0)
% 21.84/5.75 |
% 21.84/5.75 +-Applying beta-rule and splitting (266), into two cases.
% 21.84/5.75 |-Branch one:
% 21.84/5.75 | (478) ~ (has_immunity(all_4_10_12, all_4_9_11) = 0)
% 21.84/5.75 |
% 21.84/5.75 +-Applying beta-rule and splitting (262), into two cases.
% 21.84/5.75 |-Branch one:
% 21.84/5.75 | (479) ~ (has_immunity(all_4_10_12, all_4_7_9) = 0)
% 21.84/5.75 |
% 21.84/5.75 +-Applying beta-rule and splitting (264), into two cases.
% 21.84/5.75 |-Branch one:
% 21.84/5.75 | (480) ~ (has_immunity(all_4_10_12, all_4_8_10) = 0)
% 21.84/5.75 |
% 21.84/5.75 +-Applying beta-rule and splitting (254), into two cases.
% 21.84/5.75 |-Branch one:
% 21.84/5.75 | (481) all_15_1_18 = 0
% 21.84/5.75 |
% 21.84/5.75 | Equations (481) can reduce 477 to:
% 21.84/5.75 | (210) $false
% 21.84/5.75 |
% 21.84/5.75 |-The branch is then unsatisfiable
% 21.84/5.75 |-Branch two:
% 21.84/5.75 | (477) ~ (all_15_1_18 = 0)
% 21.84/5.75 | (484) ? [v0] : ? [v1] : (dissimilar(all_4_10_12, all_4_7_9, all_4_9_11) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 21.84/5.75 |
% 21.84/5.75 | Instantiating (484) with all_205_0_110, all_205_1_111 yields:
% 21.84/5.75 | (485) dissimilar(all_4_10_12, all_4_7_9, all_4_9_11) = all_205_0_110 & organization(all_4_10_12) = all_205_1_111 & ( ~ (all_205_1_111 = 0) | all_205_0_110 = 0)
% 21.84/5.75 |
% 21.84/5.75 | Applying alpha-rule on (485) yields:
% 21.84/5.75 | (486) dissimilar(all_4_10_12, all_4_7_9, all_4_9_11) = all_205_0_110
% 21.84/5.75 | (487) organization(all_4_10_12) = all_205_1_111
% 21.84/5.76 | (488) ~ (all_205_1_111 = 0) | all_205_0_110 = 0
% 21.84/5.76 |
% 21.84/5.76 | Instantiating formula (11) with all_4_10_12, all_205_1_111, 0 and discharging atoms organization(all_4_10_12) = all_205_1_111, organization(all_4_10_12) = 0, yields:
% 21.84/5.76 | (489) all_205_1_111 = 0
% 21.84/5.76 |
% 21.84/5.76 | Using (105) and (479) yields:
% 21.84/5.76 | (490) ~ (all_15_2_19 = 0)
% 21.84/5.76 |
% 21.84/5.76 | Using (99) and (480) yields:
% 21.84/5.76 | (491) ~ (all_13_2_15 = 0)
% 21.84/5.76 |
% 21.84/5.76 | Using (118) and (478) yields:
% 21.84/5.76 | (492) ~ (all_27_2_31 = 0)
% 21.84/5.76 |
% 21.84/5.76 | From (489) and (487) follows:
% 21.84/5.76 | (56) organization(all_4_10_12) = 0
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (117), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (494) ~ (all_27_3_32 = 0)
% 21.84/5.76 |
% 21.84/5.76 | Equations (169) can reduce 494 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (169) all_27_3_32 = 0
% 21.84/5.76 | (497) ( ~ (all_27_2_31 = 0) | all_4_0_2 = very_low) & (all_27_2_31 = 0 | (( ~ (all_27_0_29 = 0) | (( ~ (all_27_1_30 = 0) | all_4_0_2 = low) & (all_27_1_30 = 0 | all_4_0_2 = mod1))) & ( ~ (all_27_1_30 = 0) | all_27_0_29 = 0 | all_4_0_2 = mod2) & (all_27_0_29 = 0 | all_27_1_30 = 0 | all_4_0_2 = high)))
% 21.84/5.76 |
% 21.84/5.76 | Applying alpha-rule on (497) yields:
% 21.84/5.76 | (498) ~ (all_27_2_31 = 0) | all_4_0_2 = very_low
% 21.84/5.76 | (499) all_27_2_31 = 0 | (( ~ (all_27_0_29 = 0) | (( ~ (all_27_1_30 = 0) | all_4_0_2 = low) & (all_27_1_30 = 0 | all_4_0_2 = mod1))) & ( ~ (all_27_1_30 = 0) | all_27_0_29 = 0 | all_4_0_2 = mod2) & (all_27_0_29 = 0 | all_27_1_30 = 0 | all_4_0_2 = high))
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (499), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (500) all_27_2_31 = 0
% 21.84/5.76 |
% 21.84/5.76 | Equations (500) can reduce 492 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (492) ~ (all_27_2_31 = 0)
% 21.84/5.76 | (503) ( ~ (all_27_0_29 = 0) | (( ~ (all_27_1_30 = 0) | all_4_0_2 = low) & (all_27_1_30 = 0 | all_4_0_2 = mod1))) & ( ~ (all_27_1_30 = 0) | all_27_0_29 = 0 | all_4_0_2 = mod2) & (all_27_0_29 = 0 | all_27_1_30 = 0 | all_4_0_2 = high)
% 21.84/5.76 |
% 21.84/5.76 | Applying alpha-rule on (503) yields:
% 21.84/5.76 | (504) ~ (all_27_0_29 = 0) | (( ~ (all_27_1_30 = 0) | all_4_0_2 = low) & (all_27_1_30 = 0 | all_4_0_2 = mod1))
% 21.84/5.76 | (505) ~ (all_27_1_30 = 0) | all_27_0_29 = 0 | all_4_0_2 = mod2
% 21.84/5.76 | (506) all_27_0_29 = 0 | all_27_1_30 = 0 | all_4_0_2 = high
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (505), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (507) ~ (all_27_1_30 = 0)
% 21.84/5.76 |
% 21.84/5.76 | Equations (213) can reduce 507 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (213) all_27_1_30 = 0
% 21.84/5.76 | (510) all_27_0_29 = 0 | all_4_0_2 = mod2
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (510), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (511) all_4_0_2 = mod2
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (299), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (512) ~ (all_111_3_71 = 0)
% 21.84/5.76 |
% 21.84/5.76 | Equations (396) can reduce 512 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (396) all_111_3_71 = 0
% 21.84/5.76 | (515) ( ~ (all_15_2_19 = 0) | all_111_2_70 = very_low) & (all_15_2_19 = 0 | (( ~ (all_111_0_68 = 0) | (( ~ (all_111_1_69 = 0) | all_111_2_70 = low) & (all_111_1_69 = 0 | all_111_2_70 = mod1))) & ( ~ (all_111_1_69 = 0) | all_111_0_68 = 0 | all_111_2_70 = mod2) & (all_111_0_68 = 0 | all_111_1_69 = 0 | all_111_2_70 = high)))
% 21.84/5.76 |
% 21.84/5.76 | Applying alpha-rule on (515) yields:
% 21.84/5.76 | (516) ~ (all_15_2_19 = 0) | all_111_2_70 = very_low
% 21.84/5.76 | (517) all_15_2_19 = 0 | (( ~ (all_111_0_68 = 0) | (( ~ (all_111_1_69 = 0) | all_111_2_70 = low) & (all_111_1_69 = 0 | all_111_2_70 = mod1))) & ( ~ (all_111_1_69 = 0) | all_111_0_68 = 0 | all_111_2_70 = mod2) & (all_111_0_68 = 0 | all_111_1_69 = 0 | all_111_2_70 = high))
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (517), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (518) all_15_2_19 = 0
% 21.84/5.76 |
% 21.84/5.76 | Equations (518) can reduce 490 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (490) ~ (all_15_2_19 = 0)
% 21.84/5.76 | (521) ( ~ (all_111_0_68 = 0) | (( ~ (all_111_1_69 = 0) | all_111_2_70 = low) & (all_111_1_69 = 0 | all_111_2_70 = mod1))) & ( ~ (all_111_1_69 = 0) | all_111_0_68 = 0 | all_111_2_70 = mod2) & (all_111_0_68 = 0 | all_111_1_69 = 0 | all_111_2_70 = high)
% 21.84/5.76 |
% 21.84/5.76 | Applying alpha-rule on (521) yields:
% 21.84/5.76 | (522) ~ (all_111_0_68 = 0) | (( ~ (all_111_1_69 = 0) | all_111_2_70 = low) & (all_111_1_69 = 0 | all_111_2_70 = mod1))
% 21.84/5.76 | (523) ~ (all_111_1_69 = 0) | all_111_0_68 = 0 | all_111_2_70 = mod2
% 21.84/5.76 | (524) all_111_0_68 = 0 | all_111_1_69 = 0 | all_111_2_70 = high
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (522), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (525) ~ (all_111_0_68 = 0)
% 21.84/5.76 |
% 21.84/5.76 | Equations (429) can reduce 525 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (429) all_111_0_68 = 0
% 21.84/5.76 | (528) ( ~ (all_111_1_69 = 0) | all_111_2_70 = low) & (all_111_1_69 = 0 | all_111_2_70 = mod1)
% 21.84/5.76 |
% 21.84/5.76 | Applying alpha-rule on (528) yields:
% 21.84/5.76 | (529) ~ (all_111_1_69 = 0) | all_111_2_70 = low
% 21.84/5.76 | (530) all_111_1_69 = 0 | all_111_2_70 = mod1
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (530), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (531) all_111_2_70 = mod1
% 21.84/5.76 |
% 21.84/5.76 | Combining equations (531,430) yields a new equation:
% 21.84/5.76 | (532) all_4_3_5 = mod1
% 21.84/5.76 |
% 21.84/5.76 | From (532) and (67) follows:
% 21.84/5.76 | (533) smaller(mod1, all_4_2_4) = all_4_1_3
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (257), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (534) all_13_1_14 = 0
% 21.84/5.76 |
% 21.84/5.76 | Combining equations (534,377) yields a new equation:
% 21.84/5.76 | (535) all_129_0_92 = 0
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (342), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (536) ~ (all_129_3_95 = 0)
% 21.84/5.76 |
% 21.84/5.76 | Equations (468) can reduce 536 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (468) all_129_3_95 = 0
% 21.84/5.76 | (539) ( ~ (all_129_2_94 = 0) | all_129_1_93 = very_low) & (all_129_2_94 = 0 | (( ~ (all_129_0_92 = 0) | all_129_1_93 = mod2 | all_13_0_13 = 0) & ( ~ (all_13_0_13 = 0) | (( ~ (all_129_0_92 = 0) | all_129_1_93 = low) & (all_129_0_92 = 0 | all_129_1_93 = mod1))) & (all_129_0_92 = 0 | all_129_1_93 = high | all_13_0_13 = 0)))
% 21.84/5.76 |
% 21.84/5.76 | Applying alpha-rule on (539) yields:
% 21.84/5.76 | (540) ~ (all_129_2_94 = 0) | all_129_1_93 = very_low
% 21.84/5.76 | (541) all_129_2_94 = 0 | (( ~ (all_129_0_92 = 0) | all_129_1_93 = mod2 | all_13_0_13 = 0) & ( ~ (all_13_0_13 = 0) | (( ~ (all_129_0_92 = 0) | all_129_1_93 = low) & (all_129_0_92 = 0 | all_129_1_93 = mod1))) & (all_129_0_92 = 0 | all_129_1_93 = high | all_13_0_13 = 0))
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (100), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (542) ~ (all_13_3_16 = 0)
% 21.84/5.76 |
% 21.84/5.76 | Equations (200) can reduce 542 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (200) all_13_3_16 = 0
% 21.84/5.76 | (545) ( ~ (all_13_2_15 = 0) | all_4_2_4 = very_low) & (all_13_2_15 = 0 | (( ~ (all_13_0_13 = 0) | (( ~ (all_13_1_14 = 0) | all_4_2_4 = low) & (all_13_1_14 = 0 | all_4_2_4 = mod1))) & ( ~ (all_13_1_14 = 0) | all_13_0_13 = 0 | all_4_2_4 = mod2) & (all_13_0_13 = 0 | all_13_1_14 = 0 | all_4_2_4 = high)))
% 21.84/5.76 |
% 21.84/5.76 | Applying alpha-rule on (545) yields:
% 21.84/5.76 | (546) ~ (all_13_2_15 = 0) | all_4_2_4 = very_low
% 21.84/5.76 | (547) all_13_2_15 = 0 | (( ~ (all_13_0_13 = 0) | (( ~ (all_13_1_14 = 0) | all_4_2_4 = low) & (all_13_1_14 = 0 | all_4_2_4 = mod1))) & ( ~ (all_13_1_14 = 0) | all_13_0_13 = 0 | all_4_2_4 = mod2) & (all_13_0_13 = 0 | all_13_1_14 = 0 | all_4_2_4 = high))
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (547), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (548) all_13_2_15 = 0
% 21.84/5.76 |
% 21.84/5.76 | Equations (548) can reduce 491 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (491) ~ (all_13_2_15 = 0)
% 21.84/5.76 | (551) ( ~ (all_13_0_13 = 0) | (( ~ (all_13_1_14 = 0) | all_4_2_4 = low) & (all_13_1_14 = 0 | all_4_2_4 = mod1))) & ( ~ (all_13_1_14 = 0) | all_13_0_13 = 0 | all_4_2_4 = mod2) & (all_13_0_13 = 0 | all_13_1_14 = 0 | all_4_2_4 = high)
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (541), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (552) all_129_2_94 = 0
% 21.84/5.76 |
% 21.84/5.76 | Combining equations (384,552) yields a new equation:
% 21.84/5.76 | (553) all_13_2_15 = 0
% 21.84/5.76 |
% 21.84/5.76 | Simplifying 553 yields:
% 21.84/5.76 | (548) all_13_2_15 = 0
% 21.84/5.76 |
% 21.84/5.76 | Equations (548) can reduce 491 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (556) ~ (all_129_2_94 = 0)
% 21.84/5.76 | (557) ( ~ (all_129_0_92 = 0) | all_129_1_93 = mod2 | all_13_0_13 = 0) & ( ~ (all_13_0_13 = 0) | (( ~ (all_129_0_92 = 0) | all_129_1_93 = low) & (all_129_0_92 = 0 | all_129_1_93 = mod1))) & (all_129_0_92 = 0 | all_129_1_93 = high | all_13_0_13 = 0)
% 21.84/5.76 |
% 21.84/5.76 | Applying alpha-rule on (557) yields:
% 21.84/5.76 | (558) ~ (all_129_0_92 = 0) | all_129_1_93 = mod2 | all_13_0_13 = 0
% 21.84/5.76 | (559) ~ (all_13_0_13 = 0) | (( ~ (all_129_0_92 = 0) | all_129_1_93 = low) & (all_129_0_92 = 0 | all_129_1_93 = mod1))
% 21.84/5.76 | (560) all_129_0_92 = 0 | all_129_1_93 = high | all_13_0_13 = 0
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (558), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (561) ~ (all_129_0_92 = 0)
% 21.84/5.76 |
% 21.84/5.76 | Equations (535) can reduce 561 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (535) all_129_0_92 = 0
% 21.84/5.76 | (564) all_129_1_93 = mod2 | all_13_0_13 = 0
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (564), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (565) all_129_1_93 = mod2
% 21.84/5.76 |
% 21.84/5.76 | Combining equations (367,565) yields a new equation:
% 21.84/5.76 | (566) all_4_2_4 = mod2
% 21.84/5.76 |
% 21.84/5.76 | Simplifying 566 yields:
% 21.84/5.76 | (567) all_4_2_4 = mod2
% 21.84/5.76 |
% 21.84/5.76 | From (567) and (533) follows:
% 21.84/5.76 | (568) smaller(mod1, mod2) = all_4_1_3
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (65), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (569) ~ (all_4_1_3 = 0)
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (87), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (570) all_4_1_3 = 0
% 21.84/5.76 |
% 21.84/5.76 | Equations (570) can reduce 569 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (569) ~ (all_4_1_3 = 0)
% 21.84/5.76 | (573) all_4_2_4 = all_4_3_5 | ? [v0] : ( ~ (v0 = 0) & smaller_or_equal(all_4_3_5, all_4_2_4) = v0)
% 21.84/5.76 |
% 21.84/5.76 +-Applying beta-rule and splitting (88), into two cases.
% 21.84/5.76 |-Branch one:
% 21.84/5.76 | (570) all_4_1_3 = 0
% 21.84/5.76 |
% 21.84/5.76 | Equations (570) can reduce 569 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.76 |-Branch two:
% 21.84/5.76 | (569) ~ (all_4_1_3 = 0)
% 21.84/5.76 | (577) ? [v0] : ( ~ (v0 = 0) & greater(all_4_2_4, all_4_3_5) = v0)
% 21.84/5.76 |
% 21.84/5.76 | Instantiating formula (13) with mod1, mod2, all_4_1_3, 0 and discharging atoms smaller(mod1, mod2) = all_4_1_3, smaller(mod1, mod2) = 0, yields:
% 21.84/5.76 | (570) all_4_1_3 = 0
% 21.84/5.76 |
% 21.84/5.76 | Equations (570) can reduce 569 to:
% 21.84/5.76 | (210) $false
% 21.84/5.76 |
% 21.84/5.76 |-The branch is then unsatisfiable
% 21.84/5.77 |-Branch two:
% 21.84/5.77 | (570) all_4_1_3 = 0
% 21.84/5.77 | (581) ~ (all_4_0_2 = all_4_2_4)
% 22.28/5.77 |
% 22.28/5.77 | Equations (511,567) can reduce 581 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.77 |-Branch two:
% 22.28/5.77 | (583) ~ (all_129_1_93 = mod2)
% 22.28/5.77 | (584) all_13_0_13 = 0
% 22.28/5.77 |
% 22.28/5.77 | Equations (584) can reduce 216 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.77 |-Branch two:
% 22.28/5.77 | (586) ~ (all_13_1_14 = 0)
% 22.28/5.77 | (587) ? [v0] : ? [v1] : (dissimilar(all_4_10_12, all_4_9_11, all_4_8_10) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 22.28/5.77 |
% 22.28/5.77 | Instantiating (587) with all_259_0_117, all_259_1_118 yields:
% 22.28/5.77 | (588) dissimilar(all_4_10_12, all_4_9_11, all_4_8_10) = all_259_0_117 & organization(all_4_10_12) = all_259_1_118 & ( ~ (all_259_1_118 = 0) | all_259_0_117 = 0)
% 22.28/5.77 |
% 22.28/5.77 | Applying alpha-rule on (588) yields:
% 22.28/5.77 | (589) dissimilar(all_4_10_12, all_4_9_11, all_4_8_10) = all_259_0_117
% 22.28/5.77 | (590) organization(all_4_10_12) = all_259_1_118
% 22.28/5.77 | (591) ~ (all_259_1_118 = 0) | all_259_0_117 = 0
% 22.28/5.77 |
% 22.28/5.77 +-Applying beta-rule and splitting (261), into two cases.
% 22.28/5.77 |-Branch one:
% 22.28/5.77 | (592) all_25_0_26 = 0
% 22.28/5.77 |
% 22.28/5.77 | Equations (592) can reduce 236 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.77 |-Branch two:
% 22.28/5.77 | (236) ~ (all_25_0_26 = 0)
% 22.28/5.77 | (595) ? [v0] : ? [v1] : ? [v2] : (is_aligned(all_4_10_12, all_4_8_10) = v2 & is_aligned(all_4_10_12, all_4_9_11) = v1 & organization(all_4_10_12) = v0 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 22.28/5.77 |
% 22.28/5.77 | Instantiating (595) with all_265_0_119, all_265_1_120, all_265_2_121 yields:
% 22.28/5.77 | (596) is_aligned(all_4_10_12, all_4_8_10) = all_265_0_119 & is_aligned(all_4_10_12, all_4_9_11) = all_265_1_120 & organization(all_4_10_12) = all_265_2_121 & ( ~ (all_265_2_121 = 0) | (( ~ (all_265_0_119 = 0) | all_265_1_120 = 0) & ( ~ (all_265_1_120 = 0) | all_265_0_119 = 0)))
% 22.28/5.77 |
% 22.28/5.77 | Applying alpha-rule on (596) yields:
% 22.28/5.77 | (597) is_aligned(all_4_10_12, all_4_8_10) = all_265_0_119
% 22.28/5.77 | (598) is_aligned(all_4_10_12, all_4_9_11) = all_265_1_120
% 22.28/5.77 | (599) organization(all_4_10_12) = all_265_2_121
% 22.28/5.77 | (600) ~ (all_265_2_121 = 0) | (( ~ (all_265_0_119 = 0) | all_265_1_120 = 0) & ( ~ (all_265_1_120 = 0) | all_265_0_119 = 0))
% 22.28/5.77 |
% 22.28/5.77 | Instantiating formula (2) with all_4_10_12, all_4_9_11, all_4_8_10, all_259_0_117, all_25_0_26 and discharging atoms dissimilar(all_4_10_12, all_4_9_11, all_4_8_10) = all_259_0_117, dissimilar(all_4_10_12, all_4_9_11, all_4_8_10) = all_25_0_26, yields:
% 22.28/5.77 | (601) all_259_0_117 = all_25_0_26
% 22.28/5.77 |
% 22.28/5.77 | Instantiating formula (11) with all_4_10_12, all_265_2_121, 0 and discharging atoms organization(all_4_10_12) = all_265_2_121, organization(all_4_10_12) = 0, yields:
% 22.28/5.77 | (602) all_265_2_121 = 0
% 22.28/5.77 |
% 22.28/5.77 | Instantiating formula (11) with all_4_10_12, all_259_1_118, all_265_2_121 and discharging atoms organization(all_4_10_12) = all_265_2_121, organization(all_4_10_12) = all_259_1_118, yields:
% 22.28/5.77 | (603) all_265_2_121 = all_259_1_118
% 22.28/5.77 |
% 22.28/5.77 | Combining equations (602,603) yields a new equation:
% 22.28/5.77 | (604) all_259_1_118 = 0
% 22.28/5.77 |
% 22.28/5.77 +-Applying beta-rule and splitting (591), into two cases.
% 22.28/5.77 |-Branch one:
% 22.28/5.77 | (605) ~ (all_259_1_118 = 0)
% 22.28/5.77 |
% 22.28/5.77 | Equations (604) can reduce 605 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.77 |-Branch two:
% 22.28/5.77 | (604) all_259_1_118 = 0
% 22.28/5.77 | (608) all_259_0_117 = 0
% 22.28/5.77 |
% 22.28/5.77 | Combining equations (608,601) yields a new equation:
% 22.28/5.77 | (592) all_25_0_26 = 0
% 22.28/5.77 |
% 22.28/5.77 | Equations (592) can reduce 236 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.77 |-Branch two:
% 22.28/5.77 | (611) ~ (all_111_2_70 = mod1)
% 22.28/5.77 | (612) all_111_1_69 = 0
% 22.28/5.77 |
% 22.28/5.77 | Combining equations (445,612) yields a new equation:
% 22.28/5.77 | (613) all_15_1_18 = 0
% 22.28/5.77 |
% 22.28/5.77 | Simplifying 613 yields:
% 22.28/5.77 | (481) all_15_1_18 = 0
% 22.28/5.77 |
% 22.28/5.77 | Equations (481) can reduce 477 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.77 |-Branch two:
% 22.28/5.77 | (616) ~ (all_4_0_2 = mod2)
% 22.28/5.77 | (617) all_27_0_29 = 0
% 22.28/5.77 |
% 22.28/5.77 | Equations (617) can reduce 471 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.77 |-Branch two:
% 22.28/5.77 | (619) has_immunity(all_4_10_12, all_4_8_10) = 0
% 22.28/5.77 | (620) ? [v0] : ? [v1] : (organization(all_4_10_12) = v0 & has_endowment(all_4_10_12) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 22.28/5.77 |
% 22.28/5.77 | Instantiating (620) with all_201_0_122, all_201_1_123 yields:
% 22.28/5.77 | (621) organization(all_4_10_12) = all_201_1_123 & has_endowment(all_4_10_12) = all_201_0_122 & ( ~ (all_201_1_123 = 0) | all_201_0_122 = 0)
% 22.28/5.77 |
% 22.28/5.77 | Applying alpha-rule on (621) yields:
% 22.28/5.77 | (622) organization(all_4_10_12) = all_201_1_123
% 22.28/5.77 | (623) has_endowment(all_4_10_12) = all_201_0_122
% 22.28/5.77 | (624) ~ (all_201_1_123 = 0) | all_201_0_122 = 0
% 22.28/5.77 |
% 22.28/5.77 | Instantiating formula (11) with all_4_10_12, all_201_1_123, 0 and discharging atoms organization(all_4_10_12) = all_201_1_123, organization(all_4_10_12) = 0, yields:
% 22.28/5.77 | (625) all_201_1_123 = 0
% 22.28/5.77 |
% 22.28/5.77 | Instantiating formula (8) with all_4_10_12, all_201_0_122, all_4_6_8 and discharging atoms has_endowment(all_4_10_12) = all_201_0_122, has_endowment(all_4_10_12) = all_4_6_8, yields:
% 22.28/5.77 | (626) all_201_0_122 = all_4_6_8
% 22.28/5.77 |
% 22.28/5.77 +-Applying beta-rule and splitting (624), into two cases.
% 22.28/5.77 |-Branch one:
% 22.28/5.77 | (627) ~ (all_201_1_123 = 0)
% 22.28/5.77 |
% 22.28/5.77 | Equations (625) can reduce 627 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.77 |-Branch two:
% 22.28/5.77 | (625) all_201_1_123 = 0
% 22.28/5.77 | (630) all_201_0_122 = 0
% 22.28/5.77 |
% 22.28/5.77 | Combining equations (630,626) yields a new equation:
% 22.28/5.77 | (631) all_4_6_8 = 0
% 22.28/5.77 |
% 22.28/5.77 | Equations (631) can reduce 62 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.77 |-Branch two:
% 22.28/5.77 | (633) has_immunity(all_4_10_12, all_4_7_9) = 0
% 22.28/5.77 | (620) ? [v0] : ? [v1] : (organization(all_4_10_12) = v0 & has_endowment(all_4_10_12) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 22.28/5.77 |
% 22.28/5.77 | Instantiating (620) with all_197_0_127, all_197_1_128 yields:
% 22.28/5.77 | (635) organization(all_4_10_12) = all_197_1_128 & has_endowment(all_4_10_12) = all_197_0_127 & ( ~ (all_197_1_128 = 0) | all_197_0_127 = 0)
% 22.28/5.77 |
% 22.28/5.77 | Applying alpha-rule on (635) yields:
% 22.28/5.77 | (636) organization(all_4_10_12) = all_197_1_128
% 22.28/5.77 | (637) has_endowment(all_4_10_12) = all_197_0_127
% 22.28/5.77 | (638) ~ (all_197_1_128 = 0) | all_197_0_127 = 0
% 22.28/5.77 |
% 22.28/5.77 | Instantiating formula (11) with all_4_10_12, all_197_1_128, 0 and discharging atoms organization(all_4_10_12) = all_197_1_128, organization(all_4_10_12) = 0, yields:
% 22.28/5.77 | (639) all_197_1_128 = 0
% 22.28/5.77 |
% 22.28/5.77 | Instantiating formula (8) with all_4_10_12, all_197_0_127, all_4_6_8 and discharging atoms has_endowment(all_4_10_12) = all_197_0_127, has_endowment(all_4_10_12) = all_4_6_8, yields:
% 22.28/5.77 | (640) all_197_0_127 = all_4_6_8
% 22.28/5.77 |
% 22.28/5.77 +-Applying beta-rule and splitting (638), into two cases.
% 22.28/5.77 |-Branch one:
% 22.28/5.77 | (641) ~ (all_197_1_128 = 0)
% 22.28/5.77 |
% 22.28/5.77 | Equations (639) can reduce 641 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.77 |-Branch two:
% 22.28/5.77 | (639) all_197_1_128 = 0
% 22.28/5.77 | (644) all_197_0_127 = 0
% 22.28/5.77 |
% 22.28/5.77 | Combining equations (644,640) yields a new equation:
% 22.28/5.77 | (631) all_4_6_8 = 0
% 22.28/5.77 |
% 22.28/5.77 | Equations (631) can reduce 62 to:
% 22.28/5.77 | (210) $false
% 22.28/5.77 |
% 22.28/5.77 |-The branch is then unsatisfiable
% 22.28/5.78 |-Branch two:
% 22.28/5.78 | (647) has_immunity(all_4_10_12, all_4_9_11) = 0
% 22.28/5.78 | (620) ? [v0] : ? [v1] : (organization(all_4_10_12) = v0 & has_endowment(all_4_10_12) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 22.28/5.78 |
% 22.28/5.78 | Instantiating (620) with all_193_0_131, all_193_1_132 yields:
% 22.28/5.78 | (649) organization(all_4_10_12) = all_193_1_132 & has_endowment(all_4_10_12) = all_193_0_131 & ( ~ (all_193_1_132 = 0) | all_193_0_131 = 0)
% 22.28/5.78 |
% 22.28/5.78 | Applying alpha-rule on (649) yields:
% 22.28/5.78 | (650) organization(all_4_10_12) = all_193_1_132
% 22.28/5.78 | (651) has_endowment(all_4_10_12) = all_193_0_131
% 22.28/5.78 | (652) ~ (all_193_1_132 = 0) | all_193_0_131 = 0
% 22.28/5.78 |
% 22.28/5.78 | Instantiating formula (11) with all_4_10_12, all_193_1_132, 0 and discharging atoms organization(all_4_10_12) = all_193_1_132, organization(all_4_10_12) = 0, yields:
% 22.28/5.78 | (653) all_193_1_132 = 0
% 22.28/5.78 |
% 22.28/5.78 | Instantiating formula (8) with all_4_10_12, all_193_0_131, all_4_6_8 and discharging atoms has_endowment(all_4_10_12) = all_193_0_131, has_endowment(all_4_10_12) = all_4_6_8, yields:
% 22.28/5.78 | (654) all_193_0_131 = all_4_6_8
% 22.28/5.78 |
% 22.28/5.78 +-Applying beta-rule and splitting (652), into two cases.
% 22.28/5.78 |-Branch one:
% 22.28/5.78 | (655) ~ (all_193_1_132 = 0)
% 22.28/5.78 |
% 22.28/5.78 | Equations (653) can reduce 655 to:
% 22.28/5.78 | (210) $false
% 22.28/5.78 |
% 22.28/5.78 |-The branch is then unsatisfiable
% 22.28/5.78 |-Branch two:
% 22.28/5.78 | (653) all_193_1_132 = 0
% 22.28/5.78 | (658) all_193_0_131 = 0
% 22.28/5.78 |
% 22.28/5.78 | Combining equations (658,654) yields a new equation:
% 22.28/5.78 | (631) all_4_6_8 = 0
% 22.28/5.78 |
% 22.28/5.78 | Equations (631) can reduce 62 to:
% 22.28/5.78 | (210) $false
% 22.28/5.78 |
% 22.28/5.78 |-The branch is then unsatisfiable
% 22.28/5.78 |-Branch two:
% 22.28/5.78 | (661) all_113_0_72 = 0
% 22.28/5.78 | (662) ~ (all_113_1_73 = 0)
% 22.28/5.78 |
% 22.28/5.78 | Equations (425) can reduce 662 to:
% 22.28/5.78 | (210) $false
% 22.28/5.78 |
% 22.28/5.78 |-The branch is then unsatisfiable
% 22.28/5.78 |-Branch two:
% 22.28/5.78 | (664) positional_advantage(all_4_10_12, all_4_9_11) = 0
% 22.28/5.78 | (665) ? [v0] : ? [v1] : ( ~ (v1 = 0) & age(all_4_10_12, all_4_9_11) = v0 & smaller_or_equal(v0, tau) = v1)
% 22.28/5.78 |
% 22.28/5.78 +-Applying beta-rule and splitting (164), into two cases.
% 22.28/5.78 |-Branch one:
% 22.28/5.78 | (666) ~ (positional_advantage(all_4_10_12, all_4_9_11) = all_43_0_49)
% 22.28/5.78 |
% 22.28/5.78 | From (240) and (666) follows:
% 22.28/5.78 | (363) ~ (positional_advantage(all_4_10_12, all_4_9_11) = 0)
% 22.28/5.78 |
% 22.28/5.78 | Using (664) and (363) yields:
% 22.28/5.78 | (359) $false
% 22.28/5.78 |
% 22.28/5.78 |-The branch is then unsatisfiable
% 22.28/5.78 |-Branch two:
% 22.28/5.78 | (669) positional_advantage(all_4_10_12, all_4_9_11) = all_43_0_49
% 22.28/5.78 | (670) all_43_0_49 = all_33_0_39
% 22.28/5.78 |
% 22.28/5.78 | Combining equations (670,240) yields a new equation:
% 22.28/5.78 | (671) all_33_0_39 = 0
% 22.28/5.78 |
% 22.28/5.78 | Simplifying 671 yields:
% 22.28/5.78 | (672) all_33_0_39 = 0
% 22.28/5.78 |
% 22.28/5.78 | Combining equations (672,185) yields a new equation:
% 22.28/5.78 | (617) all_27_0_29 = 0
% 22.28/5.78 |
% 22.28/5.78 | Combining equations (617,185) yields a new equation:
% 22.28/5.78 | (672) all_33_0_39 = 0
% 22.28/5.78 |
% 22.28/5.78 +-Applying beta-rule and splitting (135), into two cases.
% 22.28/5.78 |-Branch one:
% 22.28/5.78 | (675) ~ (all_33_0_39 = 0)
% 22.28/5.78 |
% 22.28/5.78 | Equations (672) can reduce 675 to:
% 22.28/5.78 | (210) $false
% 22.28/5.78 |
% 22.28/5.78 |-The branch is then unsatisfiable
% 22.28/5.78 |-Branch two:
% 22.28/5.78 | (672) all_33_0_39 = 0
% 22.28/5.78 | (678) ~ (all_33_1_40 = 0)
% 22.28/5.78 |
% 22.28/5.78 | Equations (362) can reduce 678 to:
% 22.28/5.78 | (210) $false
% 22.28/5.78 |
% 22.28/5.78 |-The branch is then unsatisfiable
% 22.28/5.78 |-Branch two:
% 22.28/5.78 | (592) all_25_0_26 = 0
% 22.28/5.78 | (681) all_25_1_27 = 0
% 22.28/5.78 |
% 22.28/5.78 | Equations (681) can reduce 229 to:
% 22.28/5.78 | (210) $false
% 22.28/5.78 |
% 22.28/5.78 |-The branch is then unsatisfiable
% 22.28/5.78 |-Branch two:
% 22.28/5.78 | (683) all_39_1_46 = 0
% 22.28/5.78 | (684) all_39_0_45 = 0
% 22.28/5.78 |
% 22.28/5.78 | Combining equations (684,163) yields a new equation:
% 22.28/5.78 | (584) all_13_0_13 = 0
% 22.28/5.78 |
% 22.28/5.78 | Equations (584) can reduce 216 to:
% 22.28/5.78 | (210) $false
% 22.28/5.78 |
% 22.28/5.78 |-The branch is then unsatisfiable
% 22.28/5.78 |-Branch two:
% 22.28/5.78 | (687) all_37_0_43 = 0
% 22.28/5.78 | (688) ~ (all_37_1_44 = 0)
% 22.28/5.78 |
% 22.28/5.78 | Equations (178) can reduce 688 to:
% 22.28/5.78 | (210) $false
% 22.28/5.78 |
% 22.28/5.78 |-The branch is then unsatisfiable
% 22.28/5.78 % SZS output end Proof for theBenchmark
% 22.28/5.78
% 22.28/5.78 5202ms
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