TSTP Solution File: MGT061+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n024.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 22:07:14 EDT 2022
% Result : Theorem 26.91s 7.10s
% Output : Proof 34.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 11:49:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.59 ____ _
% 0.19/0.59 ___ / __ \_____(_)___ ________ __________
% 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic
% 0.19/0.59 (ePrincess v.1.0)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2015
% 0.19/0.59 (c) Peter Backeman, 2014-2015
% 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.59 Bug reports to peter@backeman.se
% 0.19/0.59
% 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.77/0.96 Prover 0: Preprocessing ...
% 2.13/1.16 Prover 0: Warning: ignoring some quantifiers
% 2.13/1.18 Prover 0: Constructing countermodel ...
% 15.17/4.33 Prover 0: gave up
% 15.17/4.33 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 15.17/4.36 Prover 1: Preprocessing ...
% 15.88/4.44 Prover 1: Constructing countermodel ...
% 16.98/4.70 Prover 1: gave up
% 16.98/4.70 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 17.09/4.72 Prover 2: Preprocessing ...
% 17.23/4.81 Prover 2: Warning: ignoring some quantifiers
% 17.23/4.82 Prover 2: Constructing countermodel ...
% 21.06/5.66 Prover 2: gave up
% 21.06/5.66 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 21.06/5.69 Prover 3: Preprocessing ...
% 21.06/5.71 Prover 3: Warning: ignoring some quantifiers
% 21.41/5.71 Prover 3: Constructing countermodel ...
% 22.23/5.92 Prover 3: gave up
% 22.23/5.92 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 22.32/5.94 Prover 4: Preprocessing ...
% 22.32/6.01 Prover 4: Warning: ignoring some quantifiers
% 22.32/6.02 Prover 4: Constructing countermodel ...
% 26.03/6.87 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 26.03/6.90 Prover 5: Preprocessing ...
% 26.49/6.98 Prover 5: Constructing countermodel ...
% 26.91/7.10 Prover 5: proved (229ms)
% 26.91/7.10 Prover 4: stopped
% 26.91/7.10
% 26.91/7.10 No countermodel exists, formula is valid
% 26.91/7.10 % SZS status Theorem for theBenchmark
% 26.91/7.10
% 26.91/7.10 Generating proof ... found it (size 524)
% 33.15/8.47
% 33.15/8.47 % SZS output start Proof for theBenchmark
% 33.15/8.47 Assumed formulas after preprocessing and simplification:
% 33.15/8.47 | (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 | ~ (fragile_position(v2) = v1) | ~ (fragile_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] : (greater(high, mod2) = 0 & greater(high, mod1) = 0 & greater(mod2, low) = 0 & greater(mod1, low) = 0 & greater(low, very_low) = 0 & greater(sigma, zero) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (is_aligned(v1, v3) = v5) | ~ (is_aligned(v1, v2) = v4) | ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v7 & organization(v1) = v6 & ( ~ (v6 = 0) | v7 = 0)) | (( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (is_aligned(v1, v3) = v5) | ~ (is_aligned(v1, v2) = v4) | ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v6 & organization(v1) = v7 & ( ~ (v6 = 0) | (v7 = 0 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (dissimilar(v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (is_aligned(v1, v3) = v7 & is_aligned(v1, v2) = v6 & organization(v1) = v5 & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater(v2, v3) = 0) | ~ (greater(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & greater(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater(v1, v3) = v4) | ~ (greater(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & greater(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (age(v1, v3) = v4) | ~ (age(v1, v2) = zero) | ? [v5] : ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v7 & organization(v1) = v5 & greater(v4, sigma) = v6 & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (dissimilar(v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (age(v1, v3) = v7 & age(v1, v2) = v6 & organization(v1) = v5 & greater(v7, sigma) = v8 & ( ~ (v6 = zero) | ~ (v5 = 0) | (( ~ (v8 = 0) | v4 = 0) & ( ~ (v4 = 0) | v8 = 0))))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (greater(v1, v2) = v3) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (greater(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater_or_equal(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (smaller(v1, v2) = v3) | greater(v1, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (smaller(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & smaller_or_equal(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (is_aligned(v1, v2) = v3) | ? [v4] : ? [v5] : (age(v1, v2) = v5 & organization(v1) = v4 & ( ~ (v5 = zero) | ~ (v4 = 0)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & smaller(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater_or_equal(v1, v2) = v3) | ( ~ (v2 = v1) & ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (smaller(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v2, v1) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (smaller_or_equal(v1, v2) = v3) | ( ~ (v2 = v1) & ? [v4] : ( ~ (v4 = 0) & smaller(v1, v2) = v4))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (hazard_of_mortality(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (positional_advantage(v1, v2) = v7 & is_aligned(v1, v2) = v6 & has_immunity(v1, v2) = v5 & organization(v1) = v4 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = very_low) & (v5 = 0 | (( ~ (v7 = 0) | (( ~ (v6 = 0) | v3 = low) & (v6 = 0 | v3 = mod1))) & ( ~ (v6 = 0) | v7 = 0 | v3 = mod2) & (v7 = 0 | v6 = 0 | v3 = high))))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (positional_advantage(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (hazard_of_mortality(v1, v2) = v6 & is_aligned(v1, v2) = v7 & has_immunity(v1, v2) = v5 & organization(v1) = v4 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v6 = very_low) & (v5 = 0 | (( ~ (v7 = 0) | v6 = mod2 | v3 = 0) & ( ~ (v3 = 0) | (( ~ (v7 = 0) | v6 = low) & (v7 = 0 | v6 = mod1))) & (v7 = 0 | v6 = high | v3 = 0))))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (is_aligned(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (hazard_of_mortality(v1, v2) = v6 & positional_advantage(v1, v2) = v7 & has_immunity(v1, v2) = v5 & organization(v1) = v4 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v6 = very_low) & (v5 = 0 | (( ~ (v7 = 0) | (( ~ (v3 = 0) | v6 = low) & (v6 = mod1 | v3 = 0))) & ( ~ (v3 = 0) | v7 = 0 | v6 = mod2) & (v7 = 0 | v6 = high | v3 = 0))))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (dissimilar(v1, v2, v3) = 0) | ? [v4] : ? [v5] : (is_aligned(v1, v3) = v5 & is_aligned(v1, v2) = v4 & organization(v1) = 0 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (has_immunity(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (hazard_of_mortality(v1, v2) = v5 & positional_advantage(v1, v2) = v7 & is_aligned(v1, v2) = v6 & organization(v1) = v4 & ( ~ (v4 = 0) | (( ~ (v3 = 0) | v5 = very_low) & (v3 = 0 | (( ~ (v7 = 0) | (( ~ (v6 = 0) | v5 = low) & (v6 = 0 | v5 = mod1))) & ( ~ (v6 = 0) | v7 = 0 | v5 = mod2) & (v7 = 0 | v6 = 0 | v5 = high))))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (greater(v2, v3) = 0) | ~ (greater(v1, v2) = 0) | greater(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (greater(v1, v2) = v3) | greater_or_equal(v1, v2) = 0 | ( ~ (v3 = 0) & ~ (v2 = v1))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (smaller(v1, v2) = v3) | smaller_or_equal(v1, v2) = 0 | ( ~ (v3 = 0) & ~ (v2 = v1))) & ! [v1] : ! [v2] : (v2 = v1 | ~ (greater_or_equal(v1, v2) = 0) | greater(v1, v2) = 0) & ! [v1] : ! [v2] : (v2 = v1 | ~ (smaller_or_equal(v1, v2) = 0) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : (v2 = 0 | ~ (fragile_position(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (positional_advantage(v1, v3) = v6 & age(v1, v3) = v4 & greater(v4, sigma) = v7 & smaller_or_equal(v4, sigma) = v5 & ((v7 = 0 & v6 = 0) | (v5 = 0 & ~ (v6 = 0))))) & ! [v1] : ! [v2] : ( ~ (age(v1, v2) = zero) | ? [v3] : ? [v4] : (is_aligned(v1, v2) = v4 & organization(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (has_immunity(v1, v2) = 0) | ? [v3] : ? [v4] : (organization(v1) = v3 & has_endowment(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (greater(v2, v1) = 0) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : ( ~ (greater(v2, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v2) = v3)) & ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & greater(v2, v1) = v3)) & ! [v1] : ! [v2] : ( ~ (smaller(v1, v2) = 0) | greater(v2, v1) = 0) & ! [v1] : ( ~ (fragile_position(v1) = 0) | ( ! [v2] : ! [v3] : (v3 = 0 | ~ (positional_advantage(v1, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & age(v1, v2) = v4 & smaller_or_equal(v4, sigma) = v5)) & ! [v2] : ! [v3] : ( ~ (age(v1, v2) = v3) | ? [v4] : ? [v5] : (positional_advantage(v1, v2) = v5 & greater(v3, sigma) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v2] : ! [v3] : ( ~ (age(v1, v2) = v3) | ? [v4] : ? [v5] : (positional_advantage(v1, v2) = v5 & smaller_or_equal(v3, sigma) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ( ~ (positional_advantage(v1, v2) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & age(v1, v2) = v3 & greater(v3, sigma) = v4)))) & ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (v0 = 0 & ~ (v5 = 0) & hazard_of_mortality(v1, v4) = v8 & hazard_of_mortality(v1, v3) = v9 & hazard_of_mortality(v1, v2) = v11 & fragile_position(v1) = 0 & age(v1, v4) = v7 & age(v1, v3) = v6 & age(v1, v2) = zero & organization(v1) = 0 & has_endowment(v1) = v5 & greater(v8, v9) = v10 & greater(v7, sigma) = 0 & smaller_or_equal(v6, sigma) = 0 & ( ~ (v11 = v9) | ~ (v10 = 0))))
% 33.32/8.52 | Applying alpha-rule on (0) yields:
% 33.32/8.52 | (1) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (has_endowment(v2) = v1) | ~ (has_endowment(v2) = v0))
% 33.32/8.53 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0))
% 33.32/8.53 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_aligned(v3, v2) = v1) | ~ (is_aligned(v3, v2) = v0))
% 33.32/8.53 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (positional_advantage(v3, v2) = v1) | ~ (positional_advantage(v3, v2) = v0))
% 33.32/8.53 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 33.32/8.53 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (fragile_position(v2) = v1) | ~ (fragile_position(v2) = v0))
% 33.32/8.53 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (dissimilar(v4, v3, v2) = v1) | ~ (dissimilar(v4, v3, v2) = v0))
% 33.32/8.53 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3, v2) = v0))
% 33.32/8.53 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0))
% 33.32/8.53 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (age(v3, v2) = v1) | ~ (age(v3, v2) = v0))
% 33.32/8.53 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0))
% 33.32/8.53 | (12) ? [v0] : (greater(high, mod2) = 0 & greater(high, mod1) = 0 & greater(mod2, low) = 0 & greater(mod1, low) = 0 & greater(low, very_low) = 0 & greater(sigma, zero) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (is_aligned(v1, v3) = v5) | ~ (is_aligned(v1, v2) = v4) | ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v7 & organization(v1) = v6 & ( ~ (v6 = 0) | v7 = 0)) | (( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (is_aligned(v1, v3) = v5) | ~ (is_aligned(v1, v2) = v4) | ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v6 & organization(v1) = v7 & ( ~ (v6 = 0) | (v7 = 0 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (dissimilar(v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (is_aligned(v1, v3) = v7 & is_aligned(v1, v2) = v6 & organization(v1) = v5 & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater(v2, v3) = 0) | ~ (greater(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & greater(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (greater(v1, v3) = v4) | ~ (greater(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & greater(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (age(v1, v3) = v4) | ~ (age(v1, v2) = zero) | ? [v5] : ? [v6] : ? [v7] : (dissimilar(v1, v2, v3) = v7 & organization(v1) = v5 & greater(v4, sigma) = v6 & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (dissimilar(v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (age(v1, v3) = v7 & age(v1, v2) = v6 & organization(v1) = v5 & greater(v7, sigma) = v8 & ( ~ (v6 = zero) | ~ (v5 = 0) | (( ~ (v8 = 0) | v4 = 0) & ( ~ (v4 = 0) | v8 = 0))))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (greater(v1, v2) = v3) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (greater(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater_or_equal(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (smaller(v1, v2) = v3) | greater(v1, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (smaller(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & smaller_or_equal(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (is_aligned(v1, v2) = v3) | ? [v4] : ? [v5] : (age(v1, v2) = v5 & organization(v1) = v4 & ( ~ (v5 = zero) | ~ (v4 = 0)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & smaller(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater_or_equal(v1, v2) = v3) | ( ~ (v2 = v1) & ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (smaller(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v2, v1) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (smaller_or_equal(v1, v2) = v3) | ( ~ (v2 = v1) & ? [v4] : ( ~ (v4 = 0) & smaller(v1, v2) = v4))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (hazard_of_mortality(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (positional_advantage(v1, v2) = v7 & is_aligned(v1, v2) = v6 & has_immunity(v1, v2) = v5 & organization(v1) = v4 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = very_low) & (v5 = 0 | (( ~ (v7 = 0) | (( ~ (v6 = 0) | v3 = low) & (v6 = 0 | v3 = mod1))) & ( ~ (v6 = 0) | v7 = 0 | v3 = mod2) & (v7 = 0 | v6 = 0 | v3 = high))))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (positional_advantage(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (hazard_of_mortality(v1, v2) = v6 & is_aligned(v1, v2) = v7 & has_immunity(v1, v2) = v5 & organization(v1) = v4 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v6 = very_low) & (v5 = 0 | (( ~ (v7 = 0) | v6 = mod2 | v3 = 0) & ( ~ (v3 = 0) | (( ~ (v7 = 0) | v6 = low) & (v7 = 0 | v6 = mod1))) & (v7 = 0 | v6 = high | v3 = 0))))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (is_aligned(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (hazard_of_mortality(v1, v2) = v6 & positional_advantage(v1, v2) = v7 & has_immunity(v1, v2) = v5 & organization(v1) = v4 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v6 = very_low) & (v5 = 0 | (( ~ (v7 = 0) | (( ~ (v3 = 0) | v6 = low) & (v6 = mod1 | v3 = 0))) & ( ~ (v3 = 0) | v7 = 0 | v6 = mod2) & (v7 = 0 | v6 = high | v3 = 0))))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (dissimilar(v1, v2, v3) = 0) | ? [v4] : ? [v5] : (is_aligned(v1, v3) = v5 & is_aligned(v1, v2) = v4 & organization(v1) = 0 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (has_immunity(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (hazard_of_mortality(v1, v2) = v5 & positional_advantage(v1, v2) = v7 & is_aligned(v1, v2) = v6 & organization(v1) = v4 & ( ~ (v4 = 0) | (( ~ (v3 = 0) | v5 = very_low) & (v3 = 0 | (( ~ (v7 = 0) | (( ~ (v6 = 0) | v5 = low) & (v6 = 0 | v5 = mod1))) & ( ~ (v6 = 0) | v7 = 0 | v5 = mod2) & (v7 = 0 | v6 = 0 | v5 = high))))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (greater(v2, v3) = 0) | ~ (greater(v1, v2) = 0) | greater(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (greater(v1, v2) = v3) | greater_or_equal(v1, v2) = 0 | ( ~ (v3 = 0) & ~ (v2 = v1))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (smaller(v1, v2) = v3) | smaller_or_equal(v1, v2) = 0 | ( ~ (v3 = 0) & ~ (v2 = v1))) & ! [v1] : ! [v2] : (v2 = v1 | ~ (greater_or_equal(v1, v2) = 0) | greater(v1, v2) = 0) & ! [v1] : ! [v2] : (v2 = v1 | ~ (smaller_or_equal(v1, v2) = 0) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : (v2 = 0 | ~ (fragile_position(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (positional_advantage(v1, v3) = v6 & age(v1, v3) = v4 & greater(v4, sigma) = v7 & smaller_or_equal(v4, sigma) = v5 & ((v7 = 0 & v6 = 0) | (v5 = 0 & ~ (v6 = 0))))) & ! [v1] : ! [v2] : ( ~ (age(v1, v2) = zero) | ? [v3] : ? [v4] : (is_aligned(v1, v2) = v4 & organization(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (has_immunity(v1, v2) = 0) | ? [v3] : ? [v4] : (organization(v1) = v3 & has_endowment(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (greater(v2, v1) = 0) | smaller(v1, v2) = 0) & ! [v1] : ! [v2] : ( ~ (greater(v2, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v2) = v3)) & ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & greater(v2, v1) = v3)) & ! [v1] : ! [v2] : ( ~ (smaller(v1, v2) = 0) | greater(v2, v1) = 0) & ! [v1] : ( ~ (fragile_position(v1) = 0) | ( ! [v2] : ! [v3] : (v3 = 0 | ~ (positional_advantage(v1, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & age(v1, v2) = v4 & smaller_or_equal(v4, sigma) = v5)) & ! [v2] : ! [v3] : ( ~ (age(v1, v2) = v3) | ? [v4] : ? [v5] : (positional_advantage(v1, v2) = v5 & greater(v3, sigma) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v2] : ! [v3] : ( ~ (age(v1, v2) = v3) | ? [v4] : ? [v5] : (positional_advantage(v1, v2) = v5 & smaller_or_equal(v3, sigma) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ( ~ (positional_advantage(v1, v2) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & age(v1, v2) = v3 & greater(v3, sigma) = v4)))) & ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (v0 = 0 & ~ (v5 = 0) & hazard_of_mortality(v1, v4) = v8 & hazard_of_mortality(v1, v3) = v9 & hazard_of_mortality(v1, v2) = v11 & fragile_position(v1) = 0 & age(v1, v4) = v7 & age(v1, v3) = v6 & age(v1, v2) = zero & organization(v1) = 0 & has_endowment(v1) = v5 & greater(v8, v9) = v10 & greater(v7, sigma) = 0 & smaller_or_equal(v6, sigma) = 0 & ( ~ (v11 = v9) | ~ (v10 = 0))))
% 33.46/8.54 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0))
% 33.46/8.54 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0))
% 33.46/8.54 |
% 33.46/8.54 | Instantiating (12) with all_1_0_0 yields:
% 33.46/8.54 | (15) greater(high, mod2) = 0 & greater(high, mod1) = 0 & greater(mod2, low) = 0 & greater(mod1, low) = 0 & greater(low, very_low) = 0 & greater(sigma, zero) = all_1_0_0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (is_aligned(v0, v2) = v4) | ~ (is_aligned(v0, v1) = v3) | ? [v5] : ? [v6] : (dissimilar(v0, v1, v2) = v6 & organization(v0) = v5 & ( ~ (v5 = 0) | v6 = 0)) | (( ~ (v4 = 0) | v3 = 0) & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (is_aligned(v0, v2) = v4) | ~ (is_aligned(v0, v1) = v3) | ? [v5] : ? [v6] : (dissimilar(v0, v1, v2) = v5 & organization(v0) = v6 & ( ~ (v5 = 0) | (v6 = 0 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (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 | ~ (fragile_position(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (positional_advantage(v0, v2) = v5 & age(v0, v2) = v3 & greater(v3, sigma) = v6 & smaller_or_equal(v3, sigma) = v4 & ((v6 = 0 & v5 = 0) | (v4 = 0 & ~ (v5 = 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] : ( ~ (fragile_position(v0) = 0) | ( ! [v1] : ! [v2] : (v2 = 0 | ~ (positional_advantage(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & age(v0, v1) = v3 & smaller_or_equal(v3, sigma) = v4)) & ! [v1] : ! [v2] : ( ~ (age(v0, v1) = v2) | ? [v3] : ? [v4] : (positional_advantage(v0, v1) = v4 & greater(v2, sigma) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v1] : ! [v2] : ( ~ (age(v0, v1) = v2) | ? [v3] : ? [v4] : (positional_advantage(v0, v1) = v4 & smaller_or_equal(v2, sigma) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ( ~ (positional_advantage(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & age(v0, v1) = v2 & greater(v2, sigma) = v3)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (all_1_0_0 = 0 & ~ (v4 = 0) & hazard_of_mortality(v0, v3) = v7 & hazard_of_mortality(v0, v2) = v8 & hazard_of_mortality(v0, v1) = v10 & fragile_position(v0) = 0 & age(v0, v3) = v6 & age(v0, v2) = v5 & age(v0, v1) = zero & organization(v0) = 0 & has_endowment(v0) = v4 & greater(v7, v8) = v9 & greater(v6, sigma) = 0 & smaller_or_equal(v5, sigma) = 0 & ( ~ (v10 = v8) | ~ (v9 = 0)))
% 33.46/8.55 |
% 33.46/8.55 | Applying alpha-rule on (15) yields:
% 33.46/8.55 | (16) ! [v0] : ! [v1] : ( ~ (has_immunity(v0, v1) = 0) | ? [v2] : ? [v3] : (organization(v0) = v2 & has_endowment(v0) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 33.46/8.56 | (17) ! [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)))))))
% 33.46/8.56 | (18) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v1, v0) = v2))
% 33.46/8.56 | (19) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | greater(v1, v0) = 0)
% 33.46/8.56 | (20) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | smaller(v0, v1) = 0)
% 33.46/8.56 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 33.46/8.56 | (22) greater(mod1, low) = 0
% 33.46/8.56 | (23) ! [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)))))))
% 33.46/8.56 | (24) ! [v0] : ( ~ (fragile_position(v0) = 0) | ( ! [v1] : ! [v2] : (v2 = 0 | ~ (positional_advantage(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & age(v0, v1) = v3 & smaller_or_equal(v3, sigma) = v4)) & ! [v1] : ! [v2] : ( ~ (age(v0, v1) = v2) | ? [v3] : ? [v4] : (positional_advantage(v0, v1) = v4 & greater(v2, sigma) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v1] : ! [v2] : ( ~ (age(v0, v1) = v2) | ? [v3] : ? [v4] : (positional_advantage(v0, v1) = v4 & smaller_or_equal(v2, sigma) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ( ~ (positional_advantage(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & age(v0, v1) = v2 & greater(v2, sigma) = v3))))
% 33.46/8.56 | (25) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3))
% 33.46/8.56 | (26) ! [v0] : ! [v1] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0)
% 33.46/8.56 | (27) ! [v0] : ! [v1] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | smaller(v0, v1) = 0)
% 33.46/8.56 | (28) greater(high, mod1) = 0
% 33.46/8.56 | (29) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | greater(v0, v1) = 0)
% 33.46/8.56 | (30) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | smaller(v0, v1) = 0)
% 33.46/8.56 | (31) greater(mod2, low) = 0
% 33.46/8.56 | (32) ! [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)))
% 33.46/8.56 | (33) greater(sigma, zero) = all_1_0_0
% 33.46/8.56 | (34) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ( ~ (v1 = v0) & ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3)))
% 33.46/8.56 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0)
% 33.46/8.56 | (36) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v0, v1) = v2) | greater_or_equal(v0, v1) = 0 | ( ~ (v2 = 0) & ~ (v1 = v0)))
% 33.46/8.56 | (37) ! [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)))
% 33.46/8.56 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ (smaller(v0, v1) = v2) | smaller_or_equal(v0, v1) = 0 | ( ~ (v2 = 0) & ~ (v1 = v0)))
% 33.46/8.56 | (39) ! [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)))))
% 33.46/8.56 | (40) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (all_1_0_0 = 0 & ~ (v4 = 0) & hazard_of_mortality(v0, v3) = v7 & hazard_of_mortality(v0, v2) = v8 & hazard_of_mortality(v0, v1) = v10 & fragile_position(v0) = 0 & age(v0, v3) = v6 & age(v0, v2) = v5 & age(v0, v1) = zero & organization(v0) = 0 & has_endowment(v0) = v4 & greater(v7, v8) = v9 & greater(v6, sigma) = 0 & smaller_or_equal(v5, sigma) = 0 & ( ~ (v10 = v8) | ~ (v9 = 0)))
% 33.46/8.56 | (41) ! [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)))))
% 33.46/8.56 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))
% 33.46/8.56 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = 0) | ~ (greater(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4))
% 33.46/8.56 | (44) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2))
% 33.46/8.57 | (45) ! [v0] : ! [v1] : (v1 = 0 | ~ (fragile_position(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (positional_advantage(v0, v2) = v5 & age(v0, v2) = v3 & greater(v3, sigma) = v6 & smaller_or_equal(v3, sigma) = v4 & ((v6 = 0 & v5 = 0) | (v4 = 0 & ~ (v5 = 0)))))
% 33.46/8.57 | (46) ! [v0] : ! [v1] : ( ~ (age(v0, v1) = zero) | ? [v2] : ? [v3] : (is_aligned(v0, v1) = v3 & organization(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 33.46/8.57 | (47) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_aligned(v0, v1) = v2) | ? [v3] : ? [v4] : (age(v0, v1) = v4 & organization(v0) = v3 & ( ~ (v4 = zero) | ~ (v3 = 0))))
% 33.46/8.57 | (48) ! [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)))))))
% 33.46/8.57 | (49) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ( ~ (v1 = v0) & ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3)))
% 33.46/8.57 | (50) ! [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)))))
% 33.46/8.57 | (51) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller_or_equal(v0, v1) = v3))
% 33.46/8.57 | (52) greater(high, mod2) = 0
% 33.46/8.57 | (53) greater(low, very_low) = 0
% 33.46/8.57 | (54) ! [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)))))
% 33.46/8.57 | (55) ! [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)))))))
% 33.46/8.57 | (56) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3))
% 33.46/8.57 |
% 33.46/8.57 | Instantiating (40) with all_4_0_1, all_4_1_2, all_4_2_3, all_4_3_4, all_4_4_5, all_4_5_6, all_4_6_7, all_4_7_8, all_4_8_9, all_4_9_10, all_4_10_11 yields:
% 33.46/8.57 | (57) all_1_0_0 = 0 & ~ (all_4_6_7 = 0) & hazard_of_mortality(all_4_10_11, all_4_7_8) = all_4_3_4 & hazard_of_mortality(all_4_10_11, all_4_8_9) = all_4_2_3 & hazard_of_mortality(all_4_10_11, all_4_9_10) = all_4_0_1 & fragile_position(all_4_10_11) = 0 & age(all_4_10_11, all_4_7_8) = all_4_4_5 & age(all_4_10_11, all_4_8_9) = all_4_5_6 & age(all_4_10_11, all_4_9_10) = zero & organization(all_4_10_11) = 0 & has_endowment(all_4_10_11) = all_4_6_7 & greater(all_4_3_4, all_4_2_3) = all_4_1_2 & greater(all_4_4_5, sigma) = 0 & smaller_or_equal(all_4_5_6, sigma) = 0 & ( ~ (all_4_0_1 = all_4_2_3) | ~ (all_4_1_2 = 0))
% 33.46/8.57 |
% 33.46/8.57 | Applying alpha-rule on (57) yields:
% 33.46/8.57 | (58) greater(all_4_3_4, all_4_2_3) = all_4_1_2
% 33.46/8.57 | (59) smaller_or_equal(all_4_5_6, sigma) = 0
% 33.46/8.57 | (60) organization(all_4_10_11) = 0
% 33.46/8.57 | (61) all_1_0_0 = 0
% 33.46/8.57 | (62) ~ (all_4_0_1 = all_4_2_3) | ~ (all_4_1_2 = 0)
% 33.46/8.57 | (63) has_endowment(all_4_10_11) = all_4_6_7
% 33.46/8.57 | (64) age(all_4_10_11, all_4_8_9) = all_4_5_6
% 33.46/8.57 | (65) greater(all_4_4_5, sigma) = 0
% 33.46/8.57 | (66) fragile_position(all_4_10_11) = 0
% 33.46/8.57 | (67) age(all_4_10_11, all_4_7_8) = all_4_4_5
% 33.46/8.57 | (68) hazard_of_mortality(all_4_10_11, all_4_7_8) = all_4_3_4
% 33.46/8.57 | (69) age(all_4_10_11, all_4_9_10) = zero
% 33.46/8.57 | (70) hazard_of_mortality(all_4_10_11, all_4_9_10) = all_4_0_1
% 33.46/8.57 | (71) ~ (all_4_6_7 = 0)
% 33.46/8.57 | (72) hazard_of_mortality(all_4_10_11, all_4_8_9) = all_4_2_3
% 33.46/8.57 |
% 33.46/8.57 | From (61) and (33) follows:
% 33.46/8.57 | (73) greater(sigma, zero) = 0
% 33.46/8.57 |
% 33.46/8.57 | Instantiating formula (23) with all_4_3_4, all_4_7_8, all_4_10_11 and discharging atoms hazard_of_mortality(all_4_10_11, all_4_7_8) = all_4_3_4, yields:
% 33.46/8.57 | (74) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (positional_advantage(all_4_10_11, all_4_7_8) = v3 & is_aligned(all_4_10_11, all_4_7_8) = v2 & has_immunity(all_4_10_11, all_4_7_8) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | all_4_3_4 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | all_4_3_4 = low) & (v2 = 0 | all_4_3_4 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | all_4_3_4 = mod2) & (v3 = 0 | v2 = 0 | all_4_3_4 = high))))))
% 33.46/8.57 |
% 33.46/8.57 | Instantiating formula (23) with all_4_2_3, all_4_8_9, all_4_10_11 and discharging atoms hazard_of_mortality(all_4_10_11, all_4_8_9) = all_4_2_3, yields:
% 33.46/8.57 | (75) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (positional_advantage(all_4_10_11, all_4_8_9) = v3 & is_aligned(all_4_10_11, all_4_8_9) = v2 & has_immunity(all_4_10_11, all_4_8_9) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | all_4_2_3 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | all_4_2_3 = low) & (v2 = 0 | all_4_2_3 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | all_4_2_3 = mod2) & (v3 = 0 | v2 = 0 | all_4_2_3 = high))))))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (23) with all_4_0_1, all_4_9_10, all_4_10_11 and discharging atoms hazard_of_mortality(all_4_10_11, all_4_9_10) = all_4_0_1, yields:
% 33.46/8.58 | (76) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (positional_advantage(all_4_10_11, all_4_9_10) = v3 & is_aligned(all_4_10_11, all_4_9_10) = v2 & has_immunity(all_4_10_11, all_4_9_10) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | all_4_0_1 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | all_4_0_1 = low) & (v2 = 0 | all_4_0_1 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | all_4_0_1 = mod2) & (v3 = 0 | v2 = 0 | all_4_0_1 = high))))))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (24) with all_4_10_11 and discharging atoms fragile_position(all_4_10_11) = 0, yields:
% 33.46/8.58 | (77) ! [v0] : ! [v1] : (v1 = 0 | ~ (positional_advantage(all_4_10_11, v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & age(all_4_10_11, v0) = v2 & smaller_or_equal(v2, sigma) = v3)) & ! [v0] : ! [v1] : ( ~ (age(all_4_10_11, v0) = v1) | ? [v2] : ? [v3] : (positional_advantage(all_4_10_11, v0) = v3 & greater(v1, sigma) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (age(all_4_10_11, v0) = v1) | ? [v2] : ? [v3] : (positional_advantage(all_4_10_11, v0) = v3 & smaller_or_equal(v1, sigma) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ( ~ (positional_advantage(all_4_10_11, v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & age(all_4_10_11, v0) = v1 & greater(v1, sigma) = v2))
% 33.46/8.58 |
% 33.46/8.58 | Applying alpha-rule on (77) yields:
% 33.46/8.58 | (78) ! [v0] : ! [v1] : (v1 = 0 | ~ (positional_advantage(all_4_10_11, v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & age(all_4_10_11, v0) = v2 & smaller_or_equal(v2, sigma) = v3))
% 33.46/8.58 | (79) ! [v0] : ! [v1] : ( ~ (age(all_4_10_11, v0) = v1) | ? [v2] : ? [v3] : (positional_advantage(all_4_10_11, v0) = v3 & greater(v1, sigma) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 33.46/8.58 | (80) ! [v0] : ! [v1] : ( ~ (age(all_4_10_11, v0) = v1) | ? [v2] : ? [v3] : (positional_advantage(all_4_10_11, v0) = v3 & smaller_or_equal(v1, sigma) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 33.46/8.58 | (81) ! [v0] : ( ~ (positional_advantage(all_4_10_11, v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & age(all_4_10_11, v0) = v1 & greater(v1, sigma) = v2))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (50) with zero, all_4_9_10, all_4_9_10, all_4_10_11 and discharging atoms age(all_4_10_11, all_4_9_10) = zero, yields:
% 33.46/8.58 | (82) ? [v0] : ? [v1] : ? [v2] : (dissimilar(all_4_10_11, all_4_9_10, all_4_9_10) = v2 & organization(all_4_10_11) = v0 & greater(zero, sigma) = v1 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (50) with all_4_4_5, all_4_7_8, all_4_9_10, all_4_10_11 and discharging atoms age(all_4_10_11, all_4_7_8) = all_4_4_5, age(all_4_10_11, all_4_9_10) = zero, yields:
% 33.46/8.58 | (83) ? [v0] : ? [v1] : ? [v2] : (dissimilar(all_4_10_11, all_4_9_10, all_4_7_8) = v2 & organization(all_4_10_11) = v0 & greater(all_4_4_5, sigma) = v1 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (50) with all_4_5_6, all_4_8_9, all_4_9_10, all_4_10_11 and discharging atoms age(all_4_10_11, all_4_8_9) = all_4_5_6, age(all_4_10_11, all_4_9_10) = zero, yields:
% 33.46/8.58 | (84) ? [v0] : ? [v1] : ? [v2] : (dissimilar(all_4_10_11, all_4_9_10, all_4_8_9) = v2 & organization(all_4_10_11) = v0 & greater(all_4_5_6, sigma) = v1 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (46) with all_4_9_10, all_4_10_11 and discharging atoms age(all_4_10_11, all_4_9_10) = zero, yields:
% 33.46/8.58 | (85) ? [v0] : ? [v1] : (is_aligned(all_4_10_11, all_4_9_10) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (56) with all_4_1_2, all_4_2_3, all_4_3_4 and discharging atoms greater(all_4_3_4, all_4_2_3) = all_4_1_2, yields:
% 33.46/8.58 | (86) all_4_1_2 = 0 | all_4_2_3 = all_4_3_4 | ? [v0] : ( ~ (v0 = 0) & greater_or_equal(all_4_3_4, all_4_2_3) = v0)
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (21) with all_4_1_2, all_4_3_4, all_4_2_3 and discharging atoms greater(all_4_3_4, all_4_2_3) = all_4_1_2, yields:
% 33.46/8.58 | (87) all_4_1_2 = 0 | ? [v0] : ( ~ (v0 = 0) & smaller(all_4_2_3, all_4_3_4) = v0)
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (43) with all_4_1_2, low, mod2, all_4_3_4 and discharging atoms greater(mod2, low) = 0, yields:
% 33.46/8.58 | (88) all_4_1_2 = 0 | ~ (greater(all_4_3_4, low) = all_4_1_2) | ? [v0] : ( ~ (v0 = 0) & greater(all_4_3_4, mod2) = v0)
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (35) with low, mod1, high and discharging atoms greater(high, mod1) = 0, greater(mod1, low) = 0, yields:
% 33.46/8.58 | (89) greater(high, low) = 0
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (43) with all_4_1_2, low, mod1, all_4_3_4 and discharging atoms greater(mod1, low) = 0, yields:
% 33.46/8.58 | (90) all_4_1_2 = 0 | ~ (greater(all_4_3_4, low) = all_4_1_2) | ? [v0] : ( ~ (v0 = 0) & greater(all_4_3_4, mod1) = v0)
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (35) with very_low, low, high and discharging atoms greater(low, very_low) = 0, yields:
% 33.46/8.58 | (91) ~ (greater(high, low) = 0) | greater(high, very_low) = 0
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (20) with sigma, zero and discharging atoms greater(sigma, zero) = 0, yields:
% 33.46/8.58 | (92) smaller(zero, sigma) = 0
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (79) with all_4_4_5, all_4_7_8 and discharging atoms age(all_4_10_11, all_4_7_8) = all_4_4_5, yields:
% 33.46/8.58 | (93) ? [v0] : ? [v1] : (positional_advantage(all_4_10_11, all_4_7_8) = v1 & greater(all_4_4_5, sigma) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (80) with all_4_4_5, all_4_7_8 and discharging atoms age(all_4_10_11, all_4_7_8) = all_4_4_5, yields:
% 33.46/8.58 | (94) ? [v0] : ? [v1] : (positional_advantage(all_4_10_11, all_4_7_8) = v1 & smaller_or_equal(all_4_4_5, sigma) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (79) with all_4_5_6, all_4_8_9 and discharging atoms age(all_4_10_11, all_4_8_9) = all_4_5_6, yields:
% 33.46/8.58 | (95) ? [v0] : ? [v1] : (positional_advantage(all_4_10_11, all_4_8_9) = v1 & greater(all_4_5_6, sigma) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (80) with all_4_5_6, all_4_8_9 and discharging atoms age(all_4_10_11, all_4_8_9) = all_4_5_6, yields:
% 33.46/8.58 | (96) ? [v0] : ? [v1] : (positional_advantage(all_4_10_11, all_4_8_9) = v1 & smaller_or_equal(all_4_5_6, sigma) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 33.46/8.58 |
% 33.46/8.58 | Instantiating formula (79) with zero, all_4_9_10 and discharging atoms age(all_4_10_11, all_4_9_10) = zero, yields:
% 33.46/8.58 | (97) ? [v0] : ? [v1] : (positional_advantage(all_4_10_11, all_4_9_10) = v1 & greater(zero, sigma) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 33.46/8.59 |
% 33.46/8.59 | Instantiating formula (80) with zero, all_4_9_10 and discharging atoms age(all_4_10_11, all_4_9_10) = zero, yields:
% 33.46/8.59 | (98) ? [v0] : ? [v1] : (positional_advantage(all_4_10_11, all_4_9_10) = v1 & smaller_or_equal(zero, sigma) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (75) with all_13_0_12, all_13_1_13, all_13_2_14, all_13_3_15 yields:
% 33.46/8.59 | (99) positional_advantage(all_4_10_11, all_4_8_9) = all_13_0_12 & is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13 & has_immunity(all_4_10_11, all_4_8_9) = all_13_2_14 & organization(all_4_10_11) = all_13_3_15 & ( ~ (all_13_3_15 = 0) | (( ~ (all_13_2_14 = 0) | all_4_2_3 = very_low) & (all_13_2_14 = 0 | (( ~ (all_13_0_12 = 0) | (( ~ (all_13_1_13 = 0) | all_4_2_3 = low) & (all_13_1_13 = 0 | all_4_2_3 = mod1))) & ( ~ (all_13_1_13 = 0) | all_13_0_12 = 0 | all_4_2_3 = mod2) & (all_13_0_12 = 0 | all_13_1_13 = 0 | all_4_2_3 = high)))))
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (99) yields:
% 33.46/8.59 | (100) positional_advantage(all_4_10_11, all_4_8_9) = all_13_0_12
% 33.46/8.59 | (101) organization(all_4_10_11) = all_13_3_15
% 33.46/8.59 | (102) has_immunity(all_4_10_11, all_4_8_9) = all_13_2_14
% 33.46/8.59 | (103) is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13
% 33.46/8.59 | (104) ~ (all_13_3_15 = 0) | (( ~ (all_13_2_14 = 0) | all_4_2_3 = very_low) & (all_13_2_14 = 0 | (( ~ (all_13_0_12 = 0) | (( ~ (all_13_1_13 = 0) | all_4_2_3 = low) & (all_13_1_13 = 0 | all_4_2_3 = mod1))) & ( ~ (all_13_1_13 = 0) | all_13_0_12 = 0 | all_4_2_3 = mod2) & (all_13_0_12 = 0 | all_13_1_13 = 0 | all_4_2_3 = high))))
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (85) with all_19_0_18, all_19_1_19 yields:
% 33.46/8.59 | (105) is_aligned(all_4_10_11, all_4_9_10) = all_19_0_18 & organization(all_4_10_11) = all_19_1_19 & ( ~ (all_19_1_19 = 0) | all_19_0_18 = 0)
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (105) yields:
% 33.46/8.59 | (106) is_aligned(all_4_10_11, all_4_9_10) = all_19_0_18
% 33.46/8.59 | (107) organization(all_4_10_11) = all_19_1_19
% 33.46/8.59 | (108) ~ (all_19_1_19 = 0) | all_19_0_18 = 0
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (84) with all_21_0_20, all_21_1_21, all_21_2_22 yields:
% 33.46/8.59 | (109) dissimilar(all_4_10_11, all_4_9_10, all_4_8_9) = all_21_0_20 & organization(all_4_10_11) = all_21_2_22 & greater(all_4_5_6, sigma) = all_21_1_21 & ( ~ (all_21_2_22 = 0) | (( ~ (all_21_0_20 = 0) | all_21_1_21 = 0) & ( ~ (all_21_1_21 = 0) | all_21_0_20 = 0)))
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (109) yields:
% 33.46/8.59 | (110) dissimilar(all_4_10_11, all_4_9_10, all_4_8_9) = all_21_0_20
% 33.46/8.59 | (111) organization(all_4_10_11) = all_21_2_22
% 33.46/8.59 | (112) greater(all_4_5_6, sigma) = all_21_1_21
% 33.46/8.59 | (113) ~ (all_21_2_22 = 0) | (( ~ (all_21_0_20 = 0) | all_21_1_21 = 0) & ( ~ (all_21_1_21 = 0) | all_21_0_20 = 0))
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (74) with all_23_0_23, all_23_1_24, all_23_2_25, all_23_3_26 yields:
% 33.46/8.59 | (114) positional_advantage(all_4_10_11, all_4_7_8) = all_23_0_23 & is_aligned(all_4_10_11, all_4_7_8) = all_23_1_24 & has_immunity(all_4_10_11, all_4_7_8) = all_23_2_25 & organization(all_4_10_11) = all_23_3_26 & ( ~ (all_23_3_26 = 0) | (( ~ (all_23_2_25 = 0) | all_4_3_4 = very_low) & (all_23_2_25 = 0 | (( ~ (all_23_0_23 = 0) | (( ~ (all_23_1_24 = 0) | all_4_3_4 = low) & (all_23_1_24 = 0 | all_4_3_4 = mod1))) & ( ~ (all_23_1_24 = 0) | all_23_0_23 = 0 | all_4_3_4 = mod2) & (all_23_0_23 = 0 | all_23_1_24 = 0 | all_4_3_4 = high)))))
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (114) yields:
% 33.46/8.59 | (115) ~ (all_23_3_26 = 0) | (( ~ (all_23_2_25 = 0) | all_4_3_4 = very_low) & (all_23_2_25 = 0 | (( ~ (all_23_0_23 = 0) | (( ~ (all_23_1_24 = 0) | all_4_3_4 = low) & (all_23_1_24 = 0 | all_4_3_4 = mod1))) & ( ~ (all_23_1_24 = 0) | all_23_0_23 = 0 | all_4_3_4 = mod2) & (all_23_0_23 = 0 | all_23_1_24 = 0 | all_4_3_4 = high))))
% 33.46/8.59 | (116) is_aligned(all_4_10_11, all_4_7_8) = all_23_1_24
% 33.46/8.59 | (117) positional_advantage(all_4_10_11, all_4_7_8) = all_23_0_23
% 33.46/8.59 | (118) organization(all_4_10_11) = all_23_3_26
% 33.46/8.59 | (119) has_immunity(all_4_10_11, all_4_7_8) = all_23_2_25
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (76) with all_25_0_27, all_25_1_28, all_25_2_29, all_25_3_30 yields:
% 33.46/8.59 | (120) positional_advantage(all_4_10_11, all_4_9_10) = all_25_0_27 & is_aligned(all_4_10_11, all_4_9_10) = all_25_1_28 & has_immunity(all_4_10_11, all_4_9_10) = all_25_2_29 & organization(all_4_10_11) = all_25_3_30 & ( ~ (all_25_3_30 = 0) | (( ~ (all_25_2_29 = 0) | all_4_0_1 = very_low) & (all_25_2_29 = 0 | (( ~ (all_25_0_27 = 0) | (( ~ (all_25_1_28 = 0) | all_4_0_1 = low) & (all_25_1_28 = 0 | all_4_0_1 = mod1))) & ( ~ (all_25_1_28 = 0) | all_25_0_27 = 0 | all_4_0_1 = mod2) & (all_25_0_27 = 0 | all_25_1_28 = 0 | all_4_0_1 = high)))))
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (120) yields:
% 33.46/8.59 | (121) ~ (all_25_3_30 = 0) | (( ~ (all_25_2_29 = 0) | all_4_0_1 = very_low) & (all_25_2_29 = 0 | (( ~ (all_25_0_27 = 0) | (( ~ (all_25_1_28 = 0) | all_4_0_1 = low) & (all_25_1_28 = 0 | all_4_0_1 = mod1))) & ( ~ (all_25_1_28 = 0) | all_25_0_27 = 0 | all_4_0_1 = mod2) & (all_25_0_27 = 0 | all_25_1_28 = 0 | all_4_0_1 = high))))
% 33.46/8.59 | (122) organization(all_4_10_11) = all_25_3_30
% 33.46/8.59 | (123) is_aligned(all_4_10_11, all_4_9_10) = all_25_1_28
% 33.46/8.59 | (124) has_immunity(all_4_10_11, all_4_9_10) = all_25_2_29
% 33.46/8.59 | (125) positional_advantage(all_4_10_11, all_4_9_10) = all_25_0_27
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (83) with all_27_0_31, all_27_1_32, all_27_2_33 yields:
% 33.46/8.59 | (126) dissimilar(all_4_10_11, all_4_9_10, all_4_7_8) = all_27_0_31 & organization(all_4_10_11) = all_27_2_33 & greater(all_4_4_5, sigma) = all_27_1_32 & ( ~ (all_27_2_33 = 0) | (( ~ (all_27_0_31 = 0) | all_27_1_32 = 0) & ( ~ (all_27_1_32 = 0) | all_27_0_31 = 0)))
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (126) yields:
% 33.46/8.59 | (127) dissimilar(all_4_10_11, all_4_9_10, all_4_7_8) = all_27_0_31
% 33.46/8.59 | (128) organization(all_4_10_11) = all_27_2_33
% 33.46/8.59 | (129) greater(all_4_4_5, sigma) = all_27_1_32
% 33.46/8.59 | (130) ~ (all_27_2_33 = 0) | (( ~ (all_27_0_31 = 0) | all_27_1_32 = 0) & ( ~ (all_27_1_32 = 0) | all_27_0_31 = 0))
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (82) with all_39_0_39, all_39_1_40, all_39_2_41 yields:
% 33.46/8.59 | (131) dissimilar(all_4_10_11, all_4_9_10, all_4_9_10) = all_39_0_39 & organization(all_4_10_11) = all_39_2_41 & greater(zero, sigma) = all_39_1_40 & ( ~ (all_39_2_41 = 0) | (( ~ (all_39_0_39 = 0) | all_39_1_40 = 0) & ( ~ (all_39_1_40 = 0) | all_39_0_39 = 0)))
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (131) yields:
% 33.46/8.59 | (132) dissimilar(all_4_10_11, all_4_9_10, all_4_9_10) = all_39_0_39
% 33.46/8.59 | (133) organization(all_4_10_11) = all_39_2_41
% 33.46/8.59 | (134) greater(zero, sigma) = all_39_1_40
% 33.46/8.59 | (135) ~ (all_39_2_41 = 0) | (( ~ (all_39_0_39 = 0) | all_39_1_40 = 0) & ( ~ (all_39_1_40 = 0) | all_39_0_39 = 0))
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (98) with all_41_0_42, all_41_1_43 yields:
% 33.46/8.59 | (136) positional_advantage(all_4_10_11, all_4_9_10) = all_41_0_42 & smaller_or_equal(zero, sigma) = all_41_1_43 & ( ~ (all_41_1_43 = 0) | all_41_0_42 = 0)
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (136) yields:
% 33.46/8.59 | (137) positional_advantage(all_4_10_11, all_4_9_10) = all_41_0_42
% 33.46/8.59 | (138) smaller_or_equal(zero, sigma) = all_41_1_43
% 33.46/8.59 | (139) ~ (all_41_1_43 = 0) | all_41_0_42 = 0
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (96) with all_43_0_44, all_43_1_45 yields:
% 33.46/8.59 | (140) positional_advantage(all_4_10_11, all_4_8_9) = all_43_0_44 & smaller_or_equal(all_4_5_6, sigma) = all_43_1_45 & ( ~ (all_43_1_45 = 0) | all_43_0_44 = 0)
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (140) yields:
% 33.46/8.59 | (141) positional_advantage(all_4_10_11, all_4_8_9) = all_43_0_44
% 33.46/8.59 | (142) smaller_or_equal(all_4_5_6, sigma) = all_43_1_45
% 33.46/8.59 | (143) ~ (all_43_1_45 = 0) | all_43_0_44 = 0
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (94) with all_45_0_46, all_45_1_47 yields:
% 33.46/8.59 | (144) positional_advantage(all_4_10_11, all_4_7_8) = all_45_0_46 & smaller_or_equal(all_4_4_5, sigma) = all_45_1_47 & ( ~ (all_45_1_47 = 0) | all_45_0_46 = 0)
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (144) yields:
% 33.46/8.59 | (145) positional_advantage(all_4_10_11, all_4_7_8) = all_45_0_46
% 33.46/8.59 | (146) smaller_or_equal(all_4_4_5, sigma) = all_45_1_47
% 33.46/8.59 | (147) ~ (all_45_1_47 = 0) | all_45_0_46 = 0
% 33.46/8.59 |
% 33.46/8.59 | Instantiating (95) with all_47_0_48, all_47_1_49 yields:
% 33.46/8.59 | (148) positional_advantage(all_4_10_11, all_4_8_9) = all_47_0_48 & greater(all_4_5_6, sigma) = all_47_1_49 & ( ~ (all_47_0_48 = 0) | ~ (all_47_1_49 = 0))
% 33.46/8.59 |
% 33.46/8.59 | Applying alpha-rule on (148) yields:
% 33.46/8.59 | (149) positional_advantage(all_4_10_11, all_4_8_9) = all_47_0_48
% 33.46/8.60 | (150) greater(all_4_5_6, sigma) = all_47_1_49
% 33.46/8.60 | (151) ~ (all_47_0_48 = 0) | ~ (all_47_1_49 = 0)
% 33.46/8.60 |
% 33.46/8.60 | Instantiating (97) with all_49_0_50, all_49_1_51 yields:
% 33.46/8.60 | (152) positional_advantage(all_4_10_11, all_4_9_10) = all_49_0_50 & greater(zero, sigma) = all_49_1_51 & ( ~ (all_49_0_50 = 0) | ~ (all_49_1_51 = 0))
% 33.46/8.60 |
% 33.46/8.60 | Applying alpha-rule on (152) yields:
% 33.46/8.60 | (153) positional_advantage(all_4_10_11, all_4_9_10) = all_49_0_50
% 33.46/8.60 | (154) greater(zero, sigma) = all_49_1_51
% 33.46/8.60 | (155) ~ (all_49_0_50 = 0) | ~ (all_49_1_51 = 0)
% 33.46/8.60 |
% 33.46/8.60 | Instantiating (93) with all_51_0_52, all_51_1_53 yields:
% 33.46/8.60 | (156) positional_advantage(all_4_10_11, all_4_7_8) = all_51_0_52 & greater(all_4_4_5, sigma) = all_51_1_53 & ( ~ (all_51_0_52 = 0) | ~ (all_51_1_53 = 0))
% 33.46/8.60 |
% 33.46/8.60 | Applying alpha-rule on (156) yields:
% 33.46/8.60 | (157) positional_advantage(all_4_10_11, all_4_7_8) = all_51_0_52
% 33.46/8.60 | (158) greater(all_4_4_5, sigma) = all_51_1_53
% 33.46/8.60 | (159) ~ (all_51_0_52 = 0) | ~ (all_51_1_53 = 0)
% 33.46/8.60 |
% 33.46/8.60 +-Applying beta-rule and splitting (91), into two cases.
% 33.46/8.60 |-Branch one:
% 33.46/8.60 | (160) ~ (greater(high, low) = 0)
% 33.46/8.60 |
% 33.46/8.60 | Using (89) and (160) yields:
% 33.46/8.60 | (161) $false
% 33.46/8.60 |
% 33.46/8.60 |-The branch is then unsatisfiable
% 33.46/8.60 |-Branch two:
% 33.46/8.60 | (89) greater(high, low) = 0
% 33.46/8.60 | (163) greater(high, very_low) = 0
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (4) with all_4_10_11, all_4_7_8, all_45_0_46, all_51_0_52 and discharging atoms positional_advantage(all_4_10_11, all_4_7_8) = all_51_0_52, positional_advantage(all_4_10_11, all_4_7_8) = all_45_0_46, yields:
% 33.46/8.60 | (164) all_51_0_52 = all_45_0_46
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (4) with all_4_10_11, all_4_7_8, all_23_0_23, all_51_0_52 and discharging atoms positional_advantage(all_4_10_11, all_4_7_8) = all_51_0_52, positional_advantage(all_4_10_11, all_4_7_8) = all_23_0_23, yields:
% 33.46/8.60 | (165) all_51_0_52 = all_23_0_23
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (4) with all_4_10_11, all_4_8_9, all_43_0_44, all_47_0_48 and discharging atoms positional_advantage(all_4_10_11, all_4_8_9) = all_47_0_48, positional_advantage(all_4_10_11, all_4_8_9) = all_43_0_44, yields:
% 33.46/8.60 | (166) all_47_0_48 = all_43_0_44
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (4) with all_4_10_11, all_4_8_9, all_13_0_12, all_47_0_48 and discharging atoms positional_advantage(all_4_10_11, all_4_8_9) = all_47_0_48, positional_advantage(all_4_10_11, all_4_8_9) = all_13_0_12, yields:
% 33.46/8.60 | (167) all_47_0_48 = all_13_0_12
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (4) with all_4_10_11, all_4_9_10, all_49_0_50, all_51_0_52 and discharging atoms positional_advantage(all_4_10_11, all_4_9_10) = all_49_0_50, yields:
% 33.46/8.60 | (168) all_51_0_52 = all_49_0_50 | ~ (positional_advantage(all_4_10_11, all_4_9_10) = all_51_0_52)
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (4) with all_4_10_11, all_4_9_10, all_41_0_42, all_49_0_50 and discharging atoms positional_advantage(all_4_10_11, all_4_9_10) = all_49_0_50, positional_advantage(all_4_10_11, all_4_9_10) = all_41_0_42, yields:
% 33.46/8.60 | (169) all_49_0_50 = all_41_0_42
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (4) with all_4_10_11, all_4_9_10, all_25_0_27, all_49_0_50 and discharging atoms positional_advantage(all_4_10_11, all_4_9_10) = all_49_0_50, positional_advantage(all_4_10_11, all_4_9_10) = all_25_0_27, yields:
% 33.46/8.60 | (170) all_49_0_50 = all_25_0_27
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (3) with all_4_10_11, all_4_9_10, all_19_0_18, all_25_1_28 and discharging atoms is_aligned(all_4_10_11, all_4_9_10) = all_25_1_28, is_aligned(all_4_10_11, all_4_9_10) = all_19_0_18, yields:
% 33.46/8.60 | (171) all_25_1_28 = all_19_0_18
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (5) with all_4_10_11, all_27_2_33, 0 and discharging atoms organization(all_4_10_11) = all_27_2_33, organization(all_4_10_11) = 0, yields:
% 33.46/8.60 | (172) all_27_2_33 = 0
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (5) with all_4_10_11, all_25_3_30, all_39_2_41 and discharging atoms organization(all_4_10_11) = all_39_2_41, organization(all_4_10_11) = all_25_3_30, yields:
% 33.46/8.60 | (173) all_39_2_41 = all_25_3_30
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (5) with all_4_10_11, all_23_3_26, all_39_2_41 and discharging atoms organization(all_4_10_11) = all_39_2_41, organization(all_4_10_11) = all_23_3_26, yields:
% 33.46/8.60 | (174) all_39_2_41 = all_23_3_26
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (5) with all_4_10_11, all_21_2_22, all_27_2_33 and discharging atoms organization(all_4_10_11) = all_27_2_33, organization(all_4_10_11) = all_21_2_22, yields:
% 33.46/8.60 | (175) all_27_2_33 = all_21_2_22
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (5) with all_4_10_11, all_19_1_19, all_23_3_26 and discharging atoms organization(all_4_10_11) = all_23_3_26, organization(all_4_10_11) = all_19_1_19, yields:
% 33.46/8.60 | (176) all_23_3_26 = all_19_1_19
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (5) with all_4_10_11, all_19_1_19, all_21_2_22 and discharging atoms organization(all_4_10_11) = all_21_2_22, organization(all_4_10_11) = all_19_1_19, yields:
% 33.46/8.60 | (177) all_21_2_22 = all_19_1_19
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (5) with all_4_10_11, all_13_3_15, all_39_2_41 and discharging atoms organization(all_4_10_11) = all_39_2_41, organization(all_4_10_11) = all_13_3_15, yields:
% 33.46/8.60 | (178) all_39_2_41 = all_13_3_15
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (9) with all_4_4_5, sigma, all_51_1_53, 0 and discharging atoms greater(all_4_4_5, sigma) = all_51_1_53, greater(all_4_4_5, sigma) = 0, yields:
% 33.46/8.60 | (179) all_51_1_53 = 0
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (9) with all_4_4_5, sigma, all_27_1_32, all_51_1_53 and discharging atoms greater(all_4_4_5, sigma) = all_51_1_53, greater(all_4_4_5, sigma) = all_27_1_32, yields:
% 33.46/8.60 | (180) all_51_1_53 = all_27_1_32
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (9) with all_4_5_6, sigma, all_21_1_21, all_47_1_49 and discharging atoms greater(all_4_5_6, sigma) = all_47_1_49, greater(all_4_5_6, sigma) = all_21_1_21, yields:
% 33.46/8.60 | (181) all_47_1_49 = all_21_1_21
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (11) with all_4_5_6, sigma, all_43_1_45, 0 and discharging atoms smaller_or_equal(all_4_5_6, sigma) = all_43_1_45, smaller_or_equal(all_4_5_6, sigma) = 0, yields:
% 33.46/8.60 | (182) all_43_1_45 = 0
% 33.46/8.60 |
% 33.46/8.60 | Instantiating formula (11) with zero, sigma, all_41_1_43, all_43_1_45 and discharging atoms smaller_or_equal(zero, sigma) = all_41_1_43, yields:
% 33.46/8.60 | (183) all_43_1_45 = all_41_1_43 | ~ (smaller_or_equal(zero, sigma) = all_43_1_45)
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (164,165) yields a new equation:
% 33.46/8.60 | (184) all_45_0_46 = all_23_0_23
% 33.46/8.60 |
% 33.46/8.60 | Simplifying 184 yields:
% 33.46/8.60 | (185) all_45_0_46 = all_23_0_23
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (179,180) yields a new equation:
% 33.46/8.60 | (186) all_27_1_32 = 0
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (169,170) yields a new equation:
% 33.46/8.60 | (187) all_41_0_42 = all_25_0_27
% 33.46/8.60 |
% 33.46/8.60 | Simplifying 187 yields:
% 33.46/8.60 | (188) all_41_0_42 = all_25_0_27
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (167,166) yields a new equation:
% 33.46/8.60 | (189) all_43_0_44 = all_13_0_12
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (178,173) yields a new equation:
% 33.46/8.60 | (190) all_25_3_30 = all_13_3_15
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (174,173) yields a new equation:
% 33.46/8.60 | (191) all_25_3_30 = all_23_3_26
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (175,172) yields a new equation:
% 33.46/8.60 | (192) all_21_2_22 = 0
% 33.46/8.60 |
% 33.46/8.60 | Simplifying 192 yields:
% 33.46/8.60 | (193) all_21_2_22 = 0
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (191,190) yields a new equation:
% 33.46/8.60 | (194) all_23_3_26 = all_13_3_15
% 33.46/8.60 |
% 33.46/8.60 | Simplifying 194 yields:
% 33.46/8.60 | (195) all_23_3_26 = all_13_3_15
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (176,195) yields a new equation:
% 33.46/8.60 | (196) all_19_1_19 = all_13_3_15
% 33.46/8.60 |
% 33.46/8.60 | Simplifying 196 yields:
% 33.46/8.60 | (197) all_19_1_19 = all_13_3_15
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (177,193) yields a new equation:
% 33.46/8.60 | (198) all_19_1_19 = 0
% 33.46/8.60 |
% 33.46/8.60 | Simplifying 198 yields:
% 33.46/8.60 | (199) all_19_1_19 = 0
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (199,197) yields a new equation:
% 33.46/8.60 | (200) all_13_3_15 = 0
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (200,197) yields a new equation:
% 33.46/8.60 | (199) all_19_1_19 = 0
% 33.46/8.60 |
% 33.46/8.60 | Combining equations (189,166) yields a new equation:
% 33.46/8.61 | (167) all_47_0_48 = all_13_0_12
% 33.46/8.61 |
% 33.46/8.61 | Combining equations (186,180) yields a new equation:
% 33.46/8.61 | (179) all_51_1_53 = 0
% 33.46/8.61 |
% 33.46/8.61 | From (185) and (145) follows:
% 33.46/8.61 | (117) positional_advantage(all_4_10_11, all_4_7_8) = all_23_0_23
% 33.46/8.61 |
% 33.46/8.61 | From (189) and (141) follows:
% 33.46/8.61 | (100) positional_advantage(all_4_10_11, all_4_8_9) = all_13_0_12
% 33.46/8.61 |
% 33.46/8.61 | From (188) and (137) follows:
% 33.46/8.61 | (125) positional_advantage(all_4_10_11, all_4_9_10) = all_25_0_27
% 33.46/8.61 |
% 33.46/8.61 | From (171) and (123) follows:
% 33.46/8.61 | (106) is_aligned(all_4_10_11, all_4_9_10) = all_19_0_18
% 33.46/8.61 |
% 33.46/8.61 +-Applying beta-rule and splitting (108), into two cases.
% 33.46/8.61 |-Branch one:
% 33.46/8.61 | (208) ~ (all_19_1_19 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Equations (199) can reduce 208 to:
% 33.46/8.61 | (209) $false
% 33.46/8.61 |
% 33.46/8.61 |-The branch is then unsatisfiable
% 33.46/8.61 |-Branch two:
% 33.46/8.61 | (199) all_19_1_19 = 0
% 33.46/8.61 | (211) all_19_0_18 = 0
% 33.46/8.61 |
% 33.46/8.61 | From (211) and (106) follows:
% 33.46/8.61 | (212) is_aligned(all_4_10_11, all_4_9_10) = 0
% 33.46/8.61 |
% 33.46/8.61 +-Applying beta-rule and splitting (130), into two cases.
% 33.46/8.61 |-Branch one:
% 33.46/8.61 | (213) ~ (all_27_2_33 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Equations (172) can reduce 213 to:
% 33.46/8.61 | (209) $false
% 33.46/8.61 |
% 33.46/8.61 |-The branch is then unsatisfiable
% 33.46/8.61 |-Branch two:
% 33.46/8.61 | (172) all_27_2_33 = 0
% 33.46/8.61 | (216) ( ~ (all_27_0_31 = 0) | all_27_1_32 = 0) & ( ~ (all_27_1_32 = 0) | all_27_0_31 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Applying alpha-rule on (216) yields:
% 33.46/8.61 | (217) ~ (all_27_0_31 = 0) | all_27_1_32 = 0
% 33.46/8.61 | (218) ~ (all_27_1_32 = 0) | all_27_0_31 = 0
% 33.46/8.61 |
% 33.46/8.61 +-Applying beta-rule and splitting (143), into two cases.
% 33.46/8.61 |-Branch one:
% 33.46/8.61 | (219) ~ (all_43_1_45 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Equations (182) can reduce 219 to:
% 33.46/8.61 | (209) $false
% 33.46/8.61 |
% 33.46/8.61 |-The branch is then unsatisfiable
% 33.46/8.61 |-Branch two:
% 33.46/8.61 | (182) all_43_1_45 = 0
% 33.46/8.61 | (222) all_43_0_44 = 0
% 33.46/8.61 |
% 33.46/8.61 | Combining equations (222,189) yields a new equation:
% 33.46/8.61 | (223) all_13_0_12 = 0
% 33.46/8.61 |
% 33.46/8.61 | Combining equations (223,167) yields a new equation:
% 33.46/8.61 | (224) all_47_0_48 = 0
% 33.46/8.61 |
% 33.46/8.61 | From (223) and (100) follows:
% 33.46/8.61 | (225) positional_advantage(all_4_10_11, all_4_8_9) = 0
% 33.46/8.61 |
% 33.46/8.61 +-Applying beta-rule and splitting (218), into two cases.
% 33.46/8.61 |-Branch one:
% 33.46/8.61 | (226) ~ (all_27_1_32 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Equations (186) can reduce 226 to:
% 33.46/8.61 | (209) $false
% 33.46/8.61 |
% 33.46/8.61 |-The branch is then unsatisfiable
% 33.46/8.61 |-Branch two:
% 33.46/8.61 | (186) all_27_1_32 = 0
% 33.46/8.61 | (229) all_27_0_31 = 0
% 33.46/8.61 |
% 33.46/8.61 | From (229) and (127) follows:
% 33.46/8.61 | (230) dissimilar(all_4_10_11, all_4_9_10, all_4_7_8) = 0
% 33.46/8.61 |
% 33.46/8.61 +-Applying beta-rule and splitting (159), into two cases.
% 33.46/8.61 |-Branch one:
% 33.46/8.61 | (231) ~ (all_51_0_52 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Equations (165) can reduce 231 to:
% 33.46/8.61 | (232) ~ (all_23_0_23 = 0)
% 33.46/8.61 |
% 33.46/8.61 +-Applying beta-rule and splitting (151), into two cases.
% 33.46/8.61 |-Branch one:
% 33.46/8.61 | (233) ~ (all_47_0_48 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Equations (224) can reduce 233 to:
% 33.46/8.61 | (209) $false
% 33.46/8.61 |
% 33.46/8.61 |-The branch is then unsatisfiable
% 33.46/8.61 |-Branch two:
% 33.46/8.61 | (224) all_47_0_48 = 0
% 33.46/8.61 | (236) ~ (all_47_1_49 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Equations (181) can reduce 236 to:
% 33.46/8.61 | (237) ~ (all_21_1_21 = 0)
% 33.46/8.61 |
% 33.46/8.61 +-Applying beta-rule and splitting (113), into two cases.
% 33.46/8.61 |-Branch one:
% 33.46/8.61 | (238) ~ (all_21_2_22 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Equations (193) can reduce 238 to:
% 33.46/8.61 | (209) $false
% 33.46/8.61 |
% 33.46/8.61 |-The branch is then unsatisfiable
% 33.46/8.61 |-Branch two:
% 33.46/8.61 | (193) all_21_2_22 = 0
% 33.46/8.61 | (241) ( ~ (all_21_0_20 = 0) | all_21_1_21 = 0) & ( ~ (all_21_1_21 = 0) | all_21_0_20 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Applying alpha-rule on (241) yields:
% 33.46/8.61 | (242) ~ (all_21_0_20 = 0) | all_21_1_21 = 0
% 33.46/8.61 | (243) ~ (all_21_1_21 = 0) | all_21_0_20 = 0
% 33.46/8.61 |
% 33.46/8.61 +-Applying beta-rule and splitting (242), into two cases.
% 33.46/8.61 |-Branch one:
% 33.46/8.61 | (244) ~ (all_21_0_20 = 0)
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (17) with all_23_0_23, all_4_7_8, all_4_10_11 and discharging atoms positional_advantage(all_4_10_11, all_4_7_8) = all_23_0_23, yields:
% 33.46/8.61 | (245) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_11, all_4_7_8) = v2 & is_aligned(all_4_10_11, all_4_7_8) = v3 & has_immunity(all_4_10_11, all_4_7_8) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | v2 = mod2 | all_23_0_23 = 0) & ( ~ (all_23_0_23 = 0) | (( ~ (v3 = 0) | v2 = low) & (v3 = 0 | v2 = mod1))) & (v3 = 0 | v2 = high | all_23_0_23 = 0))))))
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (17) with 0, all_4_8_9, all_4_10_11 and discharging atoms positional_advantage(all_4_10_11, all_4_8_9) = 0, yields:
% 33.46/8.61 | (246) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_11, all_4_8_9) = v2 & is_aligned(all_4_10_11, all_4_8_9) = v3 & has_immunity(all_4_10_11, all_4_8_9) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | v2 = low) & (v3 = 0 | v2 = mod1))))))
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (78) with all_25_0_27, all_4_9_10 and discharging atoms positional_advantage(all_4_10_11, all_4_9_10) = all_25_0_27, yields:
% 33.46/8.61 | (247) all_25_0_27 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & age(all_4_10_11, all_4_9_10) = v0 & smaller_or_equal(v0, sigma) = v1)
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (17) with all_25_0_27, all_4_9_10, all_4_10_11 and discharging atoms positional_advantage(all_4_10_11, all_4_9_10) = all_25_0_27, yields:
% 33.46/8.61 | (248) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_11, all_4_9_10) = v2 & is_aligned(all_4_10_11, all_4_9_10) = v3 & has_immunity(all_4_10_11, all_4_9_10) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | v2 = mod2 | all_25_0_27 = 0) & ( ~ (all_25_0_27 = 0) | (( ~ (v3 = 0) | v2 = low) & (v3 = 0 | v2 = mod1))) & (v3 = 0 | v2 = high | all_25_0_27 = 0))))))
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (41) with all_23_1_24, all_23_1_24, all_4_7_8, all_4_7_8, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_7_8) = all_23_1_24, yields:
% 33.46/8.61 | (249) ? [v0] : ? [v1] : ( ~ (v0 = 0) & dissimilar(all_4_10_11, all_4_7_8, all_4_7_8) = v0 & organization(all_4_10_11) = v1)
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (48) with all_23_1_24, all_4_7_8, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_7_8) = all_23_1_24, yields:
% 33.46/8.61 | (250) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_11, all_4_7_8) = v2 & positional_advantage(all_4_10_11, all_4_7_8) = v3 & has_immunity(all_4_10_11, all_4_7_8) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | (( ~ (all_23_1_24 = 0) | v2 = low) & (v2 = mod1 | all_23_1_24 = 0))) & ( ~ (all_23_1_24 = 0) | v3 = 0 | v2 = mod2) & (v3 = 0 | v2 = high | all_23_1_24 = 0))))))
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (41) with all_13_1_13, all_23_1_24, all_4_8_9, all_4_7_8, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_7_8) = all_23_1_24, is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13, yields:
% 33.46/8.61 | (251) ? [v0] : ? [v1] : (dissimilar(all_4_10_11, all_4_7_8, all_4_8_9) = v0 & organization(all_4_10_11) = v1 & ( ~ (v0 = 0) | (v1 = 0 & ( ~ (all_23_1_24 = 0) | ~ (all_13_1_13 = 0)) & (all_23_1_24 = 0 | all_13_1_13 = 0))))
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (41) with all_23_1_24, all_13_1_13, all_4_7_8, all_4_8_9, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_7_8) = all_23_1_24, is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13, yields:
% 33.46/8.61 | (252) ? [v0] : ? [v1] : (dissimilar(all_4_10_11, all_4_8_9, all_4_7_8) = v0 & organization(all_4_10_11) = v1 & ( ~ (v0 = 0) | (v1 = 0 & ( ~ (all_23_1_24 = 0) | ~ (all_13_1_13 = 0)) & (all_23_1_24 = 0 | all_13_1_13 = 0))))
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (41) with all_13_1_13, all_13_1_13, all_4_8_9, all_4_8_9, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13, yields:
% 33.46/8.61 | (253) ? [v0] : ? [v1] : ( ~ (v0 = 0) & dissimilar(all_4_10_11, all_4_8_9, all_4_8_9) = v0 & organization(all_4_10_11) = v1)
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (48) with all_13_1_13, all_4_8_9, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13, yields:
% 33.46/8.61 | (254) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_11, all_4_8_9) = v2 & positional_advantage(all_4_10_11, all_4_8_9) = v3 & has_immunity(all_4_10_11, all_4_8_9) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | (( ~ (all_13_1_13 = 0) | v2 = low) & (v2 = mod1 | all_13_1_13 = 0))) & ( ~ (all_13_1_13 = 0) | v3 = 0 | v2 = mod2) & (v3 = 0 | v2 = high | all_13_1_13 = 0))))))
% 33.46/8.61 |
% 33.46/8.61 | Instantiating formula (32) with 0, all_23_1_24, all_4_9_10, all_4_7_8, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_7_8) = all_23_1_24, is_aligned(all_4_10_11, all_4_9_10) = 0, yields:
% 33.46/8.61 | (255) all_23_1_24 = 0 | ? [v0] : ? [v1] : (dissimilar(all_4_10_11, all_4_7_8, all_4_9_10) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (41) with 0, all_23_1_24, all_4_9_10, all_4_7_8, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_7_8) = all_23_1_24, is_aligned(all_4_10_11, all_4_9_10) = 0, yields:
% 33.46/8.62 | (256) ? [v0] : ? [v1] : (dissimilar(all_4_10_11, all_4_7_8, all_4_9_10) = v0 & organization(all_4_10_11) = v1 & ( ~ (v0 = 0) | (v1 = 0 & ~ (all_23_1_24 = 0))))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (41) with all_23_1_24, 0, all_4_7_8, all_4_9_10, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_7_8) = all_23_1_24, is_aligned(all_4_10_11, all_4_9_10) = 0, yields:
% 33.46/8.62 | (257) ? [v0] : ? [v1] : (dissimilar(all_4_10_11, all_4_9_10, all_4_7_8) = v0 & organization(all_4_10_11) = v1 & ( ~ (v0 = 0) | (v1 = 0 & ~ (all_23_1_24 = 0))))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (32) with all_13_1_13, 0, all_4_8_9, all_4_9_10, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13, is_aligned(all_4_10_11, all_4_9_10) = 0, yields:
% 33.46/8.62 | (258) all_13_1_13 = 0 | ? [v0] : ? [v1] : (dissimilar(all_4_10_11, all_4_9_10, all_4_8_9) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (41) with 0, all_13_1_13, all_4_9_10, all_4_8_9, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13, is_aligned(all_4_10_11, all_4_9_10) = 0, yields:
% 33.46/8.62 | (259) ? [v0] : ? [v1] : (dissimilar(all_4_10_11, all_4_8_9, all_4_9_10) = v0 & organization(all_4_10_11) = v1 & ( ~ (v0 = 0) | (v1 = 0 & ~ (all_13_1_13 = 0))))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (48) with 0, all_4_9_10, all_4_10_11 and discharging atoms is_aligned(all_4_10_11, all_4_9_10) = 0, yields:
% 33.46/8.62 | (260) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_11, all_4_9_10) = v2 & positional_advantage(all_4_10_11, all_4_9_10) = v3 & has_immunity(all_4_10_11, all_4_9_10) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v1 = 0) | v2 = very_low) & (v1 = 0 | (( ~ (v3 = 0) | v2 = low) & (v3 = 0 | v2 = mod2))))))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (37) with all_4_7_8, all_4_9_10, all_4_10_11 and discharging atoms dissimilar(all_4_10_11, all_4_9_10, all_4_7_8) = 0, yields:
% 33.46/8.62 | (261) ? [v0] : ? [v1] : (is_aligned(all_4_10_11, all_4_7_8) = v1 & is_aligned(all_4_10_11, all_4_9_10) = v0 & organization(all_4_10_11) = 0 & ( ~ (v1 = 0) | ~ (v0 = 0)) & (v1 = 0 | v0 = 0))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (54) with all_21_0_20, all_4_8_9, all_4_9_10, all_4_10_11 and discharging atoms dissimilar(all_4_10_11, all_4_9_10, all_4_8_9) = all_21_0_20, yields:
% 33.46/8.62 | (262) all_21_0_20 = 0 | ? [v0] : ? [v1] : ? [v2] : (is_aligned(all_4_10_11, all_4_8_9) = v2 & is_aligned(all_4_10_11, all_4_9_10) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (16) with all_4_7_8, all_4_10_11 yields:
% 33.46/8.62 | (263) ~ (has_immunity(all_4_10_11, all_4_7_8) = 0) | ? [v0] : ? [v1] : (organization(all_4_10_11) = v0 & has_endowment(all_4_10_11) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (55) with all_23_2_25, all_4_7_8, all_4_10_11 and discharging atoms has_immunity(all_4_10_11, all_4_7_8) = all_23_2_25, yields:
% 33.46/8.62 | (264) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_11, all_4_7_8) = v1 & positional_advantage(all_4_10_11, all_4_7_8) = v3 & is_aligned(all_4_10_11, all_4_7_8) = v2 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (all_23_2_25 = 0) | v1 = very_low) & (all_23_2_25 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | v1 = low) & (v2 = 0 | v1 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | v1 = mod2) & (v3 = 0 | v2 = 0 | v1 = high))))))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (16) with all_4_8_9, all_4_10_11 yields:
% 33.46/8.62 | (265) ~ (has_immunity(all_4_10_11, all_4_8_9) = 0) | ? [v0] : ? [v1] : (organization(all_4_10_11) = v0 & has_endowment(all_4_10_11) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (55) with all_13_2_14, all_4_8_9, all_4_10_11 and discharging atoms has_immunity(all_4_10_11, all_4_8_9) = all_13_2_14, yields:
% 33.46/8.62 | (266) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_11, all_4_8_9) = v1 & positional_advantage(all_4_10_11, all_4_8_9) = v3 & is_aligned(all_4_10_11, all_4_8_9) = v2 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (all_13_2_14 = 0) | v1 = very_low) & (all_13_2_14 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | v1 = low) & (v2 = 0 | v1 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | v1 = mod2) & (v3 = 0 | v2 = 0 | v1 = high))))))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (16) with all_4_9_10, all_4_10_11 yields:
% 33.46/8.62 | (267) ~ (has_immunity(all_4_10_11, all_4_9_10) = 0) | ? [v0] : ? [v1] : (organization(all_4_10_11) = v0 & has_endowment(all_4_10_11) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (55) with all_25_2_29, all_4_9_10, all_4_10_11 and discharging atoms has_immunity(all_4_10_11, all_4_9_10) = all_25_2_29, yields:
% 33.46/8.62 | (268) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (hazard_of_mortality(all_4_10_11, all_4_9_10) = v1 & positional_advantage(all_4_10_11, all_4_9_10) = v3 & is_aligned(all_4_10_11, all_4_9_10) = v2 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (all_25_2_29 = 0) | v1 = very_low) & (all_25_2_29 = 0 | (( ~ (v3 = 0) | (( ~ (v2 = 0) | v1 = low) & (v2 = 0 | v1 = mod1))) & ( ~ (v2 = 0) | v3 = 0 | v1 = mod2) & (v3 = 0 | v2 = 0 | v1 = high))))))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (43) with all_4_1_2, low, high, all_4_3_4 and discharging atoms greater(high, low) = 0, yields:
% 33.46/8.62 | (269) all_4_1_2 = 0 | ~ (greater(all_4_3_4, low) = all_4_1_2) | ? [v0] : ( ~ (v0 = 0) & greater(all_4_3_4, high) = v0)
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (42) with all_4_1_2, all_4_2_3, low, high and discharging atoms greater(high, low) = 0, yields:
% 33.46/8.62 | (270) all_4_1_2 = 0 | ~ (greater(high, all_4_2_3) = all_4_1_2) | ? [v0] : ( ~ (v0 = 0) & greater(low, all_4_2_3) = v0)
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (38) with 0, sigma, zero and discharging atoms smaller(zero, sigma) = 0, yields:
% 33.46/8.62 | (271) smaller_or_equal(zero, sigma) = 0
% 33.46/8.62 |
% 33.46/8.62 | Instantiating formula (34) with all_41_1_43, sigma, zero and discharging atoms smaller_or_equal(zero, sigma) = all_41_1_43, yields:
% 33.46/8.62 | (272) all_41_1_43 = 0 | ( ~ (sigma = zero) & ? [v0] : ( ~ (v0 = 0) & smaller(zero, sigma) = v0))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating (268) with all_127_0_58, all_127_1_59, all_127_2_60, all_127_3_61 yields:
% 33.46/8.62 | (273) hazard_of_mortality(all_4_10_11, all_4_9_10) = all_127_2_60 & positional_advantage(all_4_10_11, all_4_9_10) = all_127_0_58 & is_aligned(all_4_10_11, all_4_9_10) = all_127_1_59 & organization(all_4_10_11) = all_127_3_61 & ( ~ (all_127_3_61 = 0) | (( ~ (all_25_2_29 = 0) | all_127_2_60 = very_low) & (all_25_2_29 = 0 | (( ~ (all_127_0_58 = 0) | (( ~ (all_127_1_59 = 0) | all_127_2_60 = low) & (all_127_1_59 = 0 | all_127_2_60 = mod1))) & ( ~ (all_127_1_59 = 0) | all_127_0_58 = 0 | all_127_2_60 = mod2) & (all_127_0_58 = 0 | all_127_1_59 = 0 | all_127_2_60 = high)))))
% 33.46/8.62 |
% 33.46/8.62 | Applying alpha-rule on (273) yields:
% 33.46/8.62 | (274) organization(all_4_10_11) = all_127_3_61
% 33.46/8.62 | (275) ~ (all_127_3_61 = 0) | (( ~ (all_25_2_29 = 0) | all_127_2_60 = very_low) & (all_25_2_29 = 0 | (( ~ (all_127_0_58 = 0) | (( ~ (all_127_1_59 = 0) | all_127_2_60 = low) & (all_127_1_59 = 0 | all_127_2_60 = mod1))) & ( ~ (all_127_1_59 = 0) | all_127_0_58 = 0 | all_127_2_60 = mod2) & (all_127_0_58 = 0 | all_127_1_59 = 0 | all_127_2_60 = high))))
% 33.46/8.62 | (276) positional_advantage(all_4_10_11, all_4_9_10) = all_127_0_58
% 33.46/8.62 | (277) hazard_of_mortality(all_4_10_11, all_4_9_10) = all_127_2_60
% 33.46/8.62 | (278) is_aligned(all_4_10_11, all_4_9_10) = all_127_1_59
% 33.46/8.62 |
% 33.46/8.62 | Instantiating (257) with all_129_0_62, all_129_1_63 yields:
% 33.46/8.62 | (279) dissimilar(all_4_10_11, all_4_9_10, all_4_7_8) = all_129_1_63 & organization(all_4_10_11) = all_129_0_62 & ( ~ (all_129_1_63 = 0) | (all_129_0_62 = 0 & ~ (all_23_1_24 = 0)))
% 33.46/8.62 |
% 33.46/8.62 | Applying alpha-rule on (279) yields:
% 33.46/8.62 | (280) dissimilar(all_4_10_11, all_4_9_10, all_4_7_8) = all_129_1_63
% 33.46/8.62 | (281) organization(all_4_10_11) = all_129_0_62
% 33.46/8.62 | (282) ~ (all_129_1_63 = 0) | (all_129_0_62 = 0 & ~ (all_23_1_24 = 0))
% 33.46/8.62 |
% 33.46/8.62 | Instantiating (254) with all_131_0_64, all_131_1_65, all_131_2_66, all_131_3_67 yields:
% 33.46/8.62 | (283) hazard_of_mortality(all_4_10_11, all_4_8_9) = all_131_1_65 & positional_advantage(all_4_10_11, all_4_8_9) = all_131_0_64 & has_immunity(all_4_10_11, all_4_8_9) = all_131_2_66 & organization(all_4_10_11) = all_131_3_67 & ( ~ (all_131_3_67 = 0) | (( ~ (all_131_2_66 = 0) | all_131_1_65 = very_low) & (all_131_2_66 = 0 | (( ~ (all_131_0_64 = 0) | (( ~ (all_13_1_13 = 0) | all_131_1_65 = low) & (all_131_1_65 = mod1 | all_13_1_13 = 0))) & ( ~ (all_13_1_13 = 0) | all_131_0_64 = 0 | all_131_1_65 = mod2) & (all_131_0_64 = 0 | all_131_1_65 = high | all_13_1_13 = 0)))))
% 33.46/8.62 |
% 33.46/8.62 | Applying alpha-rule on (283) yields:
% 33.46/8.62 | (284) organization(all_4_10_11) = all_131_3_67
% 33.46/8.62 | (285) ~ (all_131_3_67 = 0) | (( ~ (all_131_2_66 = 0) | all_131_1_65 = very_low) & (all_131_2_66 = 0 | (( ~ (all_131_0_64 = 0) | (( ~ (all_13_1_13 = 0) | all_131_1_65 = low) & (all_131_1_65 = mod1 | all_13_1_13 = 0))) & ( ~ (all_13_1_13 = 0) | all_131_0_64 = 0 | all_131_1_65 = mod2) & (all_131_0_64 = 0 | all_131_1_65 = high | all_13_1_13 = 0))))
% 33.46/8.62 | (286) hazard_of_mortality(all_4_10_11, all_4_8_9) = all_131_1_65
% 33.46/8.62 | (287) positional_advantage(all_4_10_11, all_4_8_9) = all_131_0_64
% 33.46/8.62 | (288) has_immunity(all_4_10_11, all_4_8_9) = all_131_2_66
% 33.91/8.62 |
% 33.91/8.62 | Instantiating (253) with all_135_0_69, all_135_1_70 yields:
% 33.91/8.62 | (289) ~ (all_135_1_70 = 0) & dissimilar(all_4_10_11, all_4_8_9, all_4_8_9) = all_135_1_70 & organization(all_4_10_11) = all_135_0_69
% 33.91/8.62 |
% 33.91/8.62 | Applying alpha-rule on (289) yields:
% 33.91/8.62 | (290) ~ (all_135_1_70 = 0)
% 33.91/8.62 | (291) dissimilar(all_4_10_11, all_4_8_9, all_4_8_9) = all_135_1_70
% 33.91/8.62 | (292) organization(all_4_10_11) = all_135_0_69
% 33.91/8.62 |
% 33.91/8.62 | Instantiating (252) with all_137_0_71, all_137_1_72 yields:
% 33.91/8.62 | (293) dissimilar(all_4_10_11, all_4_8_9, all_4_7_8) = all_137_1_72 & organization(all_4_10_11) = all_137_0_71 & ( ~ (all_137_1_72 = 0) | (all_137_0_71 = 0 & ( ~ (all_23_1_24 = 0) | ~ (all_13_1_13 = 0)) & (all_23_1_24 = 0 | all_13_1_13 = 0)))
% 33.91/8.62 |
% 33.91/8.62 | Applying alpha-rule on (293) yields:
% 33.91/8.62 | (294) dissimilar(all_4_10_11, all_4_8_9, all_4_7_8) = all_137_1_72
% 33.91/8.62 | (295) organization(all_4_10_11) = all_137_0_71
% 33.91/8.62 | (296) ~ (all_137_1_72 = 0) | (all_137_0_71 = 0 & ( ~ (all_23_1_24 = 0) | ~ (all_13_1_13 = 0)) & (all_23_1_24 = 0 | all_13_1_13 = 0))
% 33.91/8.62 |
% 33.91/8.62 | Instantiating (256) with all_139_0_73, all_139_1_74 yields:
% 33.91/8.62 | (297) dissimilar(all_4_10_11, all_4_7_8, all_4_9_10) = all_139_1_74 & organization(all_4_10_11) = all_139_0_73 & ( ~ (all_139_1_74 = 0) | (all_139_0_73 = 0 & ~ (all_23_1_24 = 0)))
% 33.91/8.62 |
% 33.91/8.62 | Applying alpha-rule on (297) yields:
% 33.91/8.63 | (298) dissimilar(all_4_10_11, all_4_7_8, all_4_9_10) = all_139_1_74
% 33.91/8.63 | (299) organization(all_4_10_11) = all_139_0_73
% 33.91/8.63 | (300) ~ (all_139_1_74 = 0) | (all_139_0_73 = 0 & ~ (all_23_1_24 = 0))
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (251) with all_141_0_75, all_141_1_76 yields:
% 33.91/8.63 | (301) dissimilar(all_4_10_11, all_4_7_8, all_4_8_9) = all_141_1_76 & organization(all_4_10_11) = all_141_0_75 & ( ~ (all_141_1_76 = 0) | (all_141_0_75 = 0 & ( ~ (all_23_1_24 = 0) | ~ (all_13_1_13 = 0)) & (all_23_1_24 = 0 | all_13_1_13 = 0)))
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (301) yields:
% 33.91/8.63 | (302) dissimilar(all_4_10_11, all_4_7_8, all_4_8_9) = all_141_1_76
% 33.91/8.63 | (303) organization(all_4_10_11) = all_141_0_75
% 33.91/8.63 | (304) ~ (all_141_1_76 = 0) | (all_141_0_75 = 0 & ( ~ (all_23_1_24 = 0) | ~ (all_13_1_13 = 0)) & (all_23_1_24 = 0 | all_13_1_13 = 0))
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (249) with all_143_0_77, all_143_1_78 yields:
% 33.91/8.63 | (305) ~ (all_143_1_78 = 0) & dissimilar(all_4_10_11, all_4_7_8, all_4_7_8) = all_143_1_78 & organization(all_4_10_11) = all_143_0_77
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (305) yields:
% 33.91/8.63 | (306) ~ (all_143_1_78 = 0)
% 33.91/8.63 | (307) dissimilar(all_4_10_11, all_4_7_8, all_4_7_8) = all_143_1_78
% 33.91/8.63 | (308) organization(all_4_10_11) = all_143_0_77
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (266) with all_145_0_79, all_145_1_80, all_145_2_81, all_145_3_82 yields:
% 33.91/8.63 | (309) hazard_of_mortality(all_4_10_11, all_4_8_9) = all_145_2_81 & positional_advantage(all_4_10_11, all_4_8_9) = all_145_0_79 & is_aligned(all_4_10_11, all_4_8_9) = all_145_1_80 & organization(all_4_10_11) = all_145_3_82 & ( ~ (all_145_3_82 = 0) | (( ~ (all_13_2_14 = 0) | all_145_2_81 = very_low) & (all_13_2_14 = 0 | (( ~ (all_145_0_79 = 0) | (( ~ (all_145_1_80 = 0) | all_145_2_81 = low) & (all_145_1_80 = 0 | all_145_2_81 = mod1))) & ( ~ (all_145_1_80 = 0) | all_145_0_79 = 0 | all_145_2_81 = mod2) & (all_145_0_79 = 0 | all_145_1_80 = 0 | all_145_2_81 = high)))))
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (309) yields:
% 33.91/8.63 | (310) is_aligned(all_4_10_11, all_4_8_9) = all_145_1_80
% 33.91/8.63 | (311) hazard_of_mortality(all_4_10_11, all_4_8_9) = all_145_2_81
% 33.91/8.63 | (312) organization(all_4_10_11) = all_145_3_82
% 33.91/8.63 | (313) positional_advantage(all_4_10_11, all_4_8_9) = all_145_0_79
% 33.91/8.63 | (314) ~ (all_145_3_82 = 0) | (( ~ (all_13_2_14 = 0) | all_145_2_81 = very_low) & (all_13_2_14 = 0 | (( ~ (all_145_0_79 = 0) | (( ~ (all_145_1_80 = 0) | all_145_2_81 = low) & (all_145_1_80 = 0 | all_145_2_81 = mod1))) & ( ~ (all_145_1_80 = 0) | all_145_0_79 = 0 | all_145_2_81 = mod2) & (all_145_0_79 = 0 | all_145_1_80 = 0 | all_145_2_81 = high))))
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (264) with all_147_0_83, all_147_1_84, all_147_2_85, all_147_3_86 yields:
% 33.91/8.63 | (315) hazard_of_mortality(all_4_10_11, all_4_7_8) = all_147_2_85 & positional_advantage(all_4_10_11, all_4_7_8) = all_147_0_83 & is_aligned(all_4_10_11, all_4_7_8) = all_147_1_84 & organization(all_4_10_11) = all_147_3_86 & ( ~ (all_147_3_86 = 0) | (( ~ (all_23_2_25 = 0) | all_147_2_85 = very_low) & (all_23_2_25 = 0 | (( ~ (all_147_0_83 = 0) | (( ~ (all_147_1_84 = 0) | all_147_2_85 = low) & (all_147_1_84 = 0 | all_147_2_85 = mod1))) & ( ~ (all_147_1_84 = 0) | all_147_0_83 = 0 | all_147_2_85 = mod2) & (all_147_0_83 = 0 | all_147_1_84 = 0 | all_147_2_85 = high)))))
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (315) yields:
% 33.91/8.63 | (316) organization(all_4_10_11) = all_147_3_86
% 33.91/8.63 | (317) is_aligned(all_4_10_11, all_4_7_8) = all_147_1_84
% 33.91/8.63 | (318) positional_advantage(all_4_10_11, all_4_7_8) = all_147_0_83
% 33.91/8.63 | (319) hazard_of_mortality(all_4_10_11, all_4_7_8) = all_147_2_85
% 33.91/8.63 | (320) ~ (all_147_3_86 = 0) | (( ~ (all_23_2_25 = 0) | all_147_2_85 = very_low) & (all_23_2_25 = 0 | (( ~ (all_147_0_83 = 0) | (( ~ (all_147_1_84 = 0) | all_147_2_85 = low) & (all_147_1_84 = 0 | all_147_2_85 = mod1))) & ( ~ (all_147_1_84 = 0) | all_147_0_83 = 0 | all_147_2_85 = mod2) & (all_147_0_83 = 0 | all_147_1_84 = 0 | all_147_2_85 = high))))
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (250) with all_149_0_87, all_149_1_88, all_149_2_89, all_149_3_90 yields:
% 33.91/8.63 | (321) hazard_of_mortality(all_4_10_11, all_4_7_8) = all_149_1_88 & positional_advantage(all_4_10_11, all_4_7_8) = all_149_0_87 & has_immunity(all_4_10_11, all_4_7_8) = all_149_2_89 & organization(all_4_10_11) = all_149_3_90 & ( ~ (all_149_3_90 = 0) | (( ~ (all_149_2_89 = 0) | all_149_1_88 = very_low) & (all_149_2_89 = 0 | (( ~ (all_149_0_87 = 0) | (( ~ (all_23_1_24 = 0) | all_149_1_88 = low) & (all_149_1_88 = mod1 | all_23_1_24 = 0))) & ( ~ (all_23_1_24 = 0) | all_149_0_87 = 0 | all_149_1_88 = mod2) & (all_149_0_87 = 0 | all_149_1_88 = high | all_23_1_24 = 0)))))
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (321) yields:
% 33.91/8.63 | (322) positional_advantage(all_4_10_11, all_4_7_8) = all_149_0_87
% 33.91/8.63 | (323) organization(all_4_10_11) = all_149_3_90
% 33.91/8.63 | (324) hazard_of_mortality(all_4_10_11, all_4_7_8) = all_149_1_88
% 33.91/8.63 | (325) ~ (all_149_3_90 = 0) | (( ~ (all_149_2_89 = 0) | all_149_1_88 = very_low) & (all_149_2_89 = 0 | (( ~ (all_149_0_87 = 0) | (( ~ (all_23_1_24 = 0) | all_149_1_88 = low) & (all_149_1_88 = mod1 | all_23_1_24 = 0))) & ( ~ (all_23_1_24 = 0) | all_149_0_87 = 0 | all_149_1_88 = mod2) & (all_149_0_87 = 0 | all_149_1_88 = high | all_23_1_24 = 0))))
% 33.91/8.63 | (326) has_immunity(all_4_10_11, all_4_7_8) = all_149_2_89
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (248) with all_151_0_91, all_151_1_92, all_151_2_93, all_151_3_94 yields:
% 33.91/8.63 | (327) hazard_of_mortality(all_4_10_11, all_4_9_10) = all_151_1_92 & is_aligned(all_4_10_11, all_4_9_10) = all_151_0_91 & has_immunity(all_4_10_11, all_4_9_10) = all_151_2_93 & organization(all_4_10_11) = all_151_3_94 & ( ~ (all_151_3_94 = 0) | (( ~ (all_151_2_93 = 0) | all_151_1_92 = very_low) & (all_151_2_93 = 0 | (( ~ (all_151_0_91 = 0) | all_151_1_92 = mod2 | all_25_0_27 = 0) & ( ~ (all_25_0_27 = 0) | (( ~ (all_151_0_91 = 0) | all_151_1_92 = low) & (all_151_0_91 = 0 | all_151_1_92 = mod1))) & (all_151_0_91 = 0 | all_151_1_92 = high | all_25_0_27 = 0)))))
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (327) yields:
% 33.91/8.63 | (328) ~ (all_151_3_94 = 0) | (( ~ (all_151_2_93 = 0) | all_151_1_92 = very_low) & (all_151_2_93 = 0 | (( ~ (all_151_0_91 = 0) | all_151_1_92 = mod2 | all_25_0_27 = 0) & ( ~ (all_25_0_27 = 0) | (( ~ (all_151_0_91 = 0) | all_151_1_92 = low) & (all_151_0_91 = 0 | all_151_1_92 = mod1))) & (all_151_0_91 = 0 | all_151_1_92 = high | all_25_0_27 = 0))))
% 33.91/8.63 | (329) hazard_of_mortality(all_4_10_11, all_4_9_10) = all_151_1_92
% 33.91/8.63 | (330) organization(all_4_10_11) = all_151_3_94
% 33.91/8.63 | (331) is_aligned(all_4_10_11, all_4_9_10) = all_151_0_91
% 33.91/8.63 | (332) has_immunity(all_4_10_11, all_4_9_10) = all_151_2_93
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (246) with all_153_0_95, all_153_1_96, all_153_2_97, all_153_3_98 yields:
% 33.91/8.63 | (333) hazard_of_mortality(all_4_10_11, all_4_8_9) = all_153_1_96 & is_aligned(all_4_10_11, all_4_8_9) = all_153_0_95 & has_immunity(all_4_10_11, all_4_8_9) = all_153_2_97 & organization(all_4_10_11) = all_153_3_98 & ( ~ (all_153_3_98 = 0) | (( ~ (all_153_2_97 = 0) | all_153_1_96 = very_low) & (all_153_2_97 = 0 | (( ~ (all_153_0_95 = 0) | all_153_1_96 = low) & (all_153_0_95 = 0 | all_153_1_96 = mod1)))))
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (333) yields:
% 33.91/8.63 | (334) is_aligned(all_4_10_11, all_4_8_9) = all_153_0_95
% 33.91/8.63 | (335) ~ (all_153_3_98 = 0) | (( ~ (all_153_2_97 = 0) | all_153_1_96 = very_low) & (all_153_2_97 = 0 | (( ~ (all_153_0_95 = 0) | all_153_1_96 = low) & (all_153_0_95 = 0 | all_153_1_96 = mod1))))
% 33.91/8.63 | (336) hazard_of_mortality(all_4_10_11, all_4_8_9) = all_153_1_96
% 33.91/8.63 | (337) organization(all_4_10_11) = all_153_3_98
% 33.91/8.63 | (338) has_immunity(all_4_10_11, all_4_8_9) = all_153_2_97
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (245) with all_155_0_99, all_155_1_100, all_155_2_101, all_155_3_102 yields:
% 33.91/8.63 | (339) hazard_of_mortality(all_4_10_11, all_4_7_8) = all_155_1_100 & is_aligned(all_4_10_11, all_4_7_8) = all_155_0_99 & has_immunity(all_4_10_11, all_4_7_8) = all_155_2_101 & organization(all_4_10_11) = all_155_3_102 & ( ~ (all_155_3_102 = 0) | (( ~ (all_155_2_101 = 0) | all_155_1_100 = very_low) & (all_155_2_101 = 0 | (( ~ (all_155_0_99 = 0) | all_155_1_100 = mod2 | all_23_0_23 = 0) & ( ~ (all_23_0_23 = 0) | (( ~ (all_155_0_99 = 0) | all_155_1_100 = low) & (all_155_0_99 = 0 | all_155_1_100 = mod1))) & (all_155_0_99 = 0 | all_155_1_100 = high | all_23_0_23 = 0)))))
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (339) yields:
% 33.91/8.63 | (340) is_aligned(all_4_10_11, all_4_7_8) = all_155_0_99
% 33.91/8.63 | (341) has_immunity(all_4_10_11, all_4_7_8) = all_155_2_101
% 33.91/8.63 | (342) ~ (all_155_3_102 = 0) | (( ~ (all_155_2_101 = 0) | all_155_1_100 = very_low) & (all_155_2_101 = 0 | (( ~ (all_155_0_99 = 0) | all_155_1_100 = mod2 | all_23_0_23 = 0) & ( ~ (all_23_0_23 = 0) | (( ~ (all_155_0_99 = 0) | all_155_1_100 = low) & (all_155_0_99 = 0 | all_155_1_100 = mod1))) & (all_155_0_99 = 0 | all_155_1_100 = high | all_23_0_23 = 0))))
% 33.91/8.63 | (343) hazard_of_mortality(all_4_10_11, all_4_7_8) = all_155_1_100
% 33.91/8.63 | (344) organization(all_4_10_11) = all_155_3_102
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (261) with all_157_0_103, all_157_1_104 yields:
% 33.91/8.63 | (345) is_aligned(all_4_10_11, all_4_7_8) = all_157_0_103 & is_aligned(all_4_10_11, all_4_9_10) = all_157_1_104 & organization(all_4_10_11) = 0 & ( ~ (all_157_0_103 = 0) | ~ (all_157_1_104 = 0)) & (all_157_0_103 = 0 | all_157_1_104 = 0)
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (345) yields:
% 33.91/8.63 | (346) all_157_0_103 = 0 | all_157_1_104 = 0
% 33.91/8.63 | (347) is_aligned(all_4_10_11, all_4_7_8) = all_157_0_103
% 33.91/8.63 | (60) organization(all_4_10_11) = 0
% 33.91/8.63 | (349) is_aligned(all_4_10_11, all_4_9_10) = all_157_1_104
% 33.91/8.63 | (350) ~ (all_157_0_103 = 0) | ~ (all_157_1_104 = 0)
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (259) with all_159_0_105, all_159_1_106 yields:
% 33.91/8.63 | (351) dissimilar(all_4_10_11, all_4_8_9, all_4_9_10) = all_159_1_106 & organization(all_4_10_11) = all_159_0_105 & ( ~ (all_159_1_106 = 0) | (all_159_0_105 = 0 & ~ (all_13_1_13 = 0)))
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (351) yields:
% 33.91/8.63 | (352) dissimilar(all_4_10_11, all_4_8_9, all_4_9_10) = all_159_1_106
% 33.91/8.63 | (353) organization(all_4_10_11) = all_159_0_105
% 33.91/8.63 | (354) ~ (all_159_1_106 = 0) | (all_159_0_105 = 0 & ~ (all_13_1_13 = 0))
% 33.91/8.63 |
% 33.91/8.63 | Instantiating (260) with all_161_0_107, all_161_1_108, all_161_2_109, all_161_3_110 yields:
% 33.91/8.63 | (355) hazard_of_mortality(all_4_10_11, all_4_9_10) = all_161_1_108 & positional_advantage(all_4_10_11, all_4_9_10) = all_161_0_107 & has_immunity(all_4_10_11, all_4_9_10) = all_161_2_109 & organization(all_4_10_11) = all_161_3_110 & ( ~ (all_161_3_110 = 0) | (( ~ (all_161_2_109 = 0) | all_161_1_108 = very_low) & (all_161_2_109 = 0 | (( ~ (all_161_0_107 = 0) | all_161_1_108 = low) & (all_161_0_107 = 0 | all_161_1_108 = mod2)))))
% 33.91/8.63 |
% 33.91/8.63 | Applying alpha-rule on (355) yields:
% 33.91/8.63 | (356) has_immunity(all_4_10_11, all_4_9_10) = all_161_2_109
% 33.91/8.63 | (357) organization(all_4_10_11) = all_161_3_110
% 33.91/8.63 | (358) hazard_of_mortality(all_4_10_11, all_4_9_10) = all_161_1_108
% 33.91/8.63 | (359) ~ (all_161_3_110 = 0) | (( ~ (all_161_2_109 = 0) | all_161_1_108 = very_low) & (all_161_2_109 = 0 | (( ~ (all_161_0_107 = 0) | all_161_1_108 = low) & (all_161_0_107 = 0 | all_161_1_108 = mod2))))
% 33.91/8.64 | (360) positional_advantage(all_4_10_11, all_4_9_10) = all_161_0_107
% 33.91/8.64 |
% 33.91/8.64 +-Applying beta-rule and splitting (272), into two cases.
% 33.91/8.64 |-Branch one:
% 33.91/8.64 | (361) all_41_1_43 = 0
% 33.91/8.64 |
% 33.91/8.64 +-Applying beta-rule and splitting (247), into two cases.
% 33.91/8.64 |-Branch one:
% 33.91/8.64 | (362) all_25_0_27 = 0
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (362,170) yields a new equation:
% 33.91/8.64 | (363) all_49_0_50 = 0
% 33.91/8.64 |
% 33.91/8.64 | From (362) and (125) follows:
% 33.91/8.64 | (364) positional_advantage(all_4_10_11, all_4_9_10) = 0
% 33.91/8.64 |
% 33.91/8.64 +-Applying beta-rule and splitting (168), into two cases.
% 33.91/8.64 |-Branch one:
% 33.91/8.64 | (365) ~ (positional_advantage(all_4_10_11, all_4_9_10) = all_51_0_52)
% 33.91/8.64 |
% 33.91/8.64 | From (165) and (365) follows:
% 33.91/8.64 | (366) ~ (positional_advantage(all_4_10_11, all_4_9_10) = all_23_0_23)
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (13) with all_4_10_11, all_4_7_8, all_149_1_88, all_4_3_4 and discharging atoms hazard_of_mortality(all_4_10_11, all_4_7_8) = all_149_1_88, hazard_of_mortality(all_4_10_11, all_4_7_8) = all_4_3_4, yields:
% 33.91/8.64 | (367) all_149_1_88 = all_4_3_4
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (13) with all_4_10_11, all_4_7_8, all_149_1_88, all_155_1_100 and discharging atoms hazard_of_mortality(all_4_10_11, all_4_7_8) = all_155_1_100, hazard_of_mortality(all_4_10_11, all_4_7_8) = all_149_1_88, yields:
% 33.91/8.64 | (368) all_155_1_100 = all_149_1_88
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (13) with all_4_10_11, all_4_7_8, all_147_2_85, all_155_1_100 and discharging atoms hazard_of_mortality(all_4_10_11, all_4_7_8) = all_155_1_100, hazard_of_mortality(all_4_10_11, all_4_7_8) = all_147_2_85, yields:
% 33.91/8.64 | (369) all_155_1_100 = all_147_2_85
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (13) with all_4_10_11, all_4_9_10, all_151_1_92, all_4_0_1 and discharging atoms hazard_of_mortality(all_4_10_11, all_4_9_10) = all_151_1_92, hazard_of_mortality(all_4_10_11, all_4_9_10) = all_4_0_1, yields:
% 33.91/8.64 | (370) all_151_1_92 = all_4_0_1
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (13) with all_4_10_11, all_4_9_10, all_151_1_92, all_161_1_108 and discharging atoms hazard_of_mortality(all_4_10_11, all_4_9_10) = all_161_1_108, hazard_of_mortality(all_4_10_11, all_4_9_10) = all_151_1_92, yields:
% 33.91/8.64 | (371) all_161_1_108 = all_151_1_92
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (13) with all_4_10_11, all_4_9_10, all_127_2_60, all_161_1_108 and discharging atoms hazard_of_mortality(all_4_10_11, all_4_9_10) = all_161_1_108, hazard_of_mortality(all_4_10_11, all_4_9_10) = all_127_2_60, yields:
% 33.91/8.64 | (372) all_161_1_108 = all_127_2_60
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (4) with all_4_10_11, all_4_7_8, all_149_0_87, all_23_0_23 and discharging atoms positional_advantage(all_4_10_11, all_4_7_8) = all_149_0_87, positional_advantage(all_4_10_11, all_4_7_8) = all_23_0_23, yields:
% 33.91/8.64 | (373) all_149_0_87 = all_23_0_23
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (4) with all_4_10_11, all_4_9_10, all_161_0_107, 0 and discharging atoms positional_advantage(all_4_10_11, all_4_9_10) = all_161_0_107, positional_advantage(all_4_10_11, all_4_9_10) = 0, yields:
% 33.91/8.64 | (374) all_161_0_107 = 0
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (4) with all_4_10_11, all_4_9_10, all_127_0_58, all_161_0_107 and discharging atoms positional_advantage(all_4_10_11, all_4_9_10) = all_161_0_107, positional_advantage(all_4_10_11, all_4_9_10) = all_127_0_58, yields:
% 33.91/8.64 | (375) all_161_0_107 = all_127_0_58
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (3) with all_4_10_11, all_4_7_8, all_157_0_103, all_23_1_24 and discharging atoms is_aligned(all_4_10_11, all_4_7_8) = all_157_0_103, is_aligned(all_4_10_11, all_4_7_8) = all_23_1_24, yields:
% 33.91/8.64 | (376) all_157_0_103 = all_23_1_24
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (3) with all_4_10_11, all_4_7_8, all_155_0_99, all_157_0_103 and discharging atoms is_aligned(all_4_10_11, all_4_7_8) = all_157_0_103, is_aligned(all_4_10_11, all_4_7_8) = all_155_0_99, yields:
% 33.91/8.64 | (377) all_157_0_103 = all_155_0_99
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (3) with all_4_10_11, all_4_7_8, all_147_1_84, all_157_0_103 and discharging atoms is_aligned(all_4_10_11, all_4_7_8) = all_157_0_103, is_aligned(all_4_10_11, all_4_7_8) = all_147_1_84, yields:
% 33.91/8.64 | (378) all_157_0_103 = all_147_1_84
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (3) with all_4_10_11, all_4_8_9, all_153_0_95, all_13_1_13 and discharging atoms is_aligned(all_4_10_11, all_4_8_9) = all_153_0_95, is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13, yields:
% 33.91/8.64 | (379) all_153_0_95 = all_13_1_13
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (3) with all_4_10_11, all_4_8_9, all_145_1_80, all_153_0_95 and discharging atoms is_aligned(all_4_10_11, all_4_8_9) = all_153_0_95, is_aligned(all_4_10_11, all_4_8_9) = all_145_1_80, yields:
% 33.91/8.64 | (380) all_153_0_95 = all_145_1_80
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (3) with all_4_10_11, all_4_9_10, all_157_1_104, all_145_1_80 and discharging atoms is_aligned(all_4_10_11, all_4_9_10) = all_157_1_104, yields:
% 33.91/8.64 | (381) all_157_1_104 = all_145_1_80 | ~ (is_aligned(all_4_10_11, all_4_9_10) = all_145_1_80)
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (3) with all_4_10_11, all_4_9_10, all_151_0_91, 0 and discharging atoms is_aligned(all_4_10_11, all_4_9_10) = all_151_0_91, is_aligned(all_4_10_11, all_4_9_10) = 0, yields:
% 33.91/8.64 | (382) all_151_0_91 = 0
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (3) with all_4_10_11, all_4_9_10, all_151_0_91, all_157_1_104 and discharging atoms is_aligned(all_4_10_11, all_4_9_10) = all_157_1_104, is_aligned(all_4_10_11, all_4_9_10) = all_151_0_91, yields:
% 33.91/8.64 | (383) all_157_1_104 = all_151_0_91
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (3) with all_4_10_11, all_4_9_10, all_127_1_59, all_157_1_104 and discharging atoms is_aligned(all_4_10_11, all_4_9_10) = all_157_1_104, is_aligned(all_4_10_11, all_4_9_10) = all_127_1_59, yields:
% 33.91/8.64 | (384) all_157_1_104 = all_127_1_59
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (7) with all_4_10_11, all_4_9_10, all_4_7_8, all_129_1_63, 0 and discharging atoms dissimilar(all_4_10_11, all_4_9_10, all_4_7_8) = all_129_1_63, dissimilar(all_4_10_11, all_4_9_10, all_4_7_8) = 0, yields:
% 33.91/8.64 | (385) all_129_1_63 = 0
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (8) with all_4_10_11, all_4_7_8, all_155_2_101, all_23_2_25 and discharging atoms has_immunity(all_4_10_11, all_4_7_8) = all_155_2_101, has_immunity(all_4_10_11, all_4_7_8) = all_23_2_25, yields:
% 33.91/8.64 | (386) all_155_2_101 = all_23_2_25
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (8) with all_4_10_11, all_4_7_8, all_149_2_89, all_155_2_101 and discharging atoms has_immunity(all_4_10_11, all_4_7_8) = all_155_2_101, has_immunity(all_4_10_11, all_4_7_8) = all_149_2_89, yields:
% 33.91/8.64 | (387) all_155_2_101 = all_149_2_89
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (8) with all_4_10_11, all_4_8_9, all_153_2_97, all_13_2_14 and discharging atoms has_immunity(all_4_10_11, all_4_8_9) = all_153_2_97, has_immunity(all_4_10_11, all_4_8_9) = all_13_2_14, yields:
% 33.91/8.64 | (388) all_153_2_97 = all_13_2_14
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (8) with all_4_10_11, all_4_8_9, all_131_2_66, all_153_2_97 and discharging atoms has_immunity(all_4_10_11, all_4_8_9) = all_153_2_97, has_immunity(all_4_10_11, all_4_8_9) = all_131_2_66, yields:
% 33.91/8.64 | (389) all_153_2_97 = all_131_2_66
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (8) with all_4_10_11, all_4_9_10, all_161_2_109, all_25_2_29 and discharging atoms has_immunity(all_4_10_11, all_4_9_10) = all_161_2_109, has_immunity(all_4_10_11, all_4_9_10) = all_25_2_29, yields:
% 33.91/8.64 | (390) all_161_2_109 = all_25_2_29
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (8) with all_4_10_11, all_4_9_10, all_151_2_93, all_161_2_109 and discharging atoms has_immunity(all_4_10_11, all_4_9_10) = all_161_2_109, has_immunity(all_4_10_11, all_4_9_10) = all_151_2_93, yields:
% 33.91/8.64 | (391) all_161_2_109 = all_151_2_93
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_153_3_98, all_155_3_102 and discharging atoms organization(all_4_10_11) = all_155_3_102, organization(all_4_10_11) = all_153_3_98, yields:
% 33.91/8.64 | (392) all_155_3_102 = all_153_3_98
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_151_3_94, all_159_0_105 and discharging atoms organization(all_4_10_11) = all_159_0_105, organization(all_4_10_11) = all_151_3_94, yields:
% 33.91/8.64 | (393) all_159_0_105 = all_151_3_94
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_149_3_90, all_161_3_110 and discharging atoms organization(all_4_10_11) = all_161_3_110, organization(all_4_10_11) = all_149_3_90, yields:
% 33.91/8.64 | (394) all_161_3_110 = all_149_3_90
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_149_3_90, all_155_3_102 and discharging atoms organization(all_4_10_11) = all_155_3_102, organization(all_4_10_11) = all_149_3_90, yields:
% 33.91/8.64 | (395) all_155_3_102 = all_149_3_90
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_149_3_90, all_151_3_94 and discharging atoms organization(all_4_10_11) = all_151_3_94, organization(all_4_10_11) = all_149_3_90, yields:
% 33.91/8.64 | (396) all_151_3_94 = all_149_3_90
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_147_3_86, all_149_3_90 and discharging atoms organization(all_4_10_11) = all_149_3_90, organization(all_4_10_11) = all_147_3_86, yields:
% 33.91/8.64 | (397) all_149_3_90 = all_147_3_86
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_145_3_82, all_159_0_105 and discharging atoms organization(all_4_10_11) = all_159_0_105, organization(all_4_10_11) = all_145_3_82, yields:
% 33.91/8.64 | (398) all_159_0_105 = all_145_3_82
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_143_0_77, all_155_3_102 and discharging atoms organization(all_4_10_11) = all_155_3_102, organization(all_4_10_11) = all_143_0_77, yields:
% 33.91/8.64 | (399) all_155_3_102 = all_143_0_77
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_139_0_73, all_161_3_110 and discharging atoms organization(all_4_10_11) = all_161_3_110, organization(all_4_10_11) = all_139_0_73, yields:
% 33.91/8.64 | (400) all_161_3_110 = all_139_0_73
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_137_0_71, all_161_3_110 and discharging atoms organization(all_4_10_11) = all_161_3_110, organization(all_4_10_11) = all_137_0_71, yields:
% 33.91/8.64 | (401) all_161_3_110 = all_137_0_71
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_137_0_71, all_141_0_75 and discharging atoms organization(all_4_10_11) = all_141_0_75, organization(all_4_10_11) = all_137_0_71, yields:
% 33.91/8.64 | (402) all_141_0_75 = all_137_0_71
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_135_0_69, all_147_3_86 and discharging atoms organization(all_4_10_11) = all_147_3_86, organization(all_4_10_11) = all_135_0_69, yields:
% 33.91/8.64 | (403) all_147_3_86 = all_135_0_69
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_131_3_67, all_137_0_71 and discharging atoms organization(all_4_10_11) = all_137_0_71, organization(all_4_10_11) = all_131_3_67, yields:
% 33.91/8.64 | (404) all_137_0_71 = all_131_3_67
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_129_0_62, 0 and discharging atoms organization(all_4_10_11) = all_129_0_62, organization(all_4_10_11) = 0, yields:
% 33.91/8.64 | (405) all_129_0_62 = 0
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_129_0_62, all_131_3_67 and discharging atoms organization(all_4_10_11) = all_131_3_67, organization(all_4_10_11) = all_129_0_62, yields:
% 33.91/8.64 | (406) all_131_3_67 = all_129_0_62
% 33.91/8.64 |
% 33.91/8.64 | Instantiating formula (5) with all_4_10_11, all_127_3_61, all_141_0_75 and discharging atoms organization(all_4_10_11) = all_141_0_75, organization(all_4_10_11) = all_127_3_61, yields:
% 33.91/8.64 | (407) all_141_0_75 = all_127_3_61
% 33.91/8.64 |
% 33.91/8.64 | Using (276) and (366) yields:
% 33.91/8.64 | (408) ~ (all_127_0_58 = all_23_0_23)
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (374,375) yields a new equation:
% 33.91/8.64 | (409) all_127_0_58 = 0
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (371,372) yields a new equation:
% 33.91/8.64 | (410) all_151_1_92 = all_127_2_60
% 33.91/8.64 |
% 33.91/8.64 | Simplifying 410 yields:
% 33.91/8.64 | (411) all_151_1_92 = all_127_2_60
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (390,391) yields a new equation:
% 33.91/8.64 | (412) all_151_2_93 = all_25_2_29
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (401,400) yields a new equation:
% 33.91/8.64 | (413) all_139_0_73 = all_137_0_71
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (394,400) yields a new equation:
% 33.91/8.64 | (414) all_149_3_90 = all_139_0_73
% 33.91/8.64 |
% 33.91/8.64 | Simplifying 414 yields:
% 33.91/8.64 | (415) all_149_3_90 = all_139_0_73
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (393,398) yields a new equation:
% 33.91/8.64 | (416) all_151_3_94 = all_145_3_82
% 33.91/8.64 |
% 33.91/8.64 | Simplifying 416 yields:
% 33.91/8.64 | (417) all_151_3_94 = all_145_3_82
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (378,377) yields a new equation:
% 33.91/8.64 | (418) all_155_0_99 = all_147_1_84
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (376,377) yields a new equation:
% 33.91/8.64 | (419) all_155_0_99 = all_23_1_24
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (383,384) yields a new equation:
% 33.91/8.64 | (420) all_151_0_91 = all_127_1_59
% 33.91/8.64 |
% 33.91/8.64 | Simplifying 420 yields:
% 33.91/8.64 | (421) all_151_0_91 = all_127_1_59
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (419,418) yields a new equation:
% 33.91/8.64 | (422) all_147_1_84 = all_23_1_24
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (368,369) yields a new equation:
% 33.91/8.64 | (423) all_149_1_88 = all_147_2_85
% 33.91/8.64 |
% 33.91/8.64 | Simplifying 423 yields:
% 33.91/8.64 | (424) all_149_1_88 = all_147_2_85
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (387,386) yields a new equation:
% 33.91/8.64 | (425) all_149_2_89 = all_23_2_25
% 33.91/8.64 |
% 33.91/8.64 | Simplifying 425 yields:
% 33.91/8.64 | (426) all_149_2_89 = all_23_2_25
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (399,392) yields a new equation:
% 33.91/8.64 | (427) all_153_3_98 = all_143_0_77
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (395,392) yields a new equation:
% 33.91/8.64 | (428) all_153_3_98 = all_149_3_90
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (380,379) yields a new equation:
% 33.91/8.64 | (429) all_145_1_80 = all_13_1_13
% 33.91/8.64 |
% 33.91/8.64 | Simplifying 429 yields:
% 33.91/8.64 | (430) all_145_1_80 = all_13_1_13
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (388,389) yields a new equation:
% 33.91/8.64 | (431) all_131_2_66 = all_13_2_14
% 33.91/8.64 |
% 33.91/8.64 | Combining equations (428,427) yields a new equation:
% 33.91/8.64 | (432) all_149_3_90 = all_143_0_77
% 33.91/8.64 |
% 33.91/8.64 | Simplifying 432 yields:
% 33.91/8.65 | (433) all_149_3_90 = all_143_0_77
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (382,421) yields a new equation:
% 33.91/8.65 | (434) all_127_1_59 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (370,411) yields a new equation:
% 33.91/8.65 | (435) all_127_2_60 = all_4_0_1
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (396,417) yields a new equation:
% 33.91/8.65 | (436) all_149_3_90 = all_145_3_82
% 33.91/8.65 |
% 33.91/8.65 | Simplifying 436 yields:
% 33.91/8.65 | (437) all_149_3_90 = all_145_3_82
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (367,424) yields a new equation:
% 33.91/8.65 | (438) all_147_2_85 = all_4_3_4
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (397,437) yields a new equation:
% 33.91/8.65 | (439) all_147_3_86 = all_145_3_82
% 33.91/8.65 |
% 33.91/8.65 | Simplifying 439 yields:
% 33.91/8.65 | (440) all_147_3_86 = all_145_3_82
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (433,437) yields a new equation:
% 33.91/8.65 | (441) all_145_3_82 = all_143_0_77
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (415,437) yields a new equation:
% 33.91/8.65 | (442) all_145_3_82 = all_139_0_73
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (440,403) yields a new equation:
% 33.91/8.65 | (443) all_145_3_82 = all_135_0_69
% 33.91/8.65 |
% 33.91/8.65 | Simplifying 443 yields:
% 33.91/8.65 | (444) all_145_3_82 = all_135_0_69
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (444,441) yields a new equation:
% 33.91/8.65 | (445) all_143_0_77 = all_135_0_69
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (442,441) yields a new equation:
% 33.91/8.65 | (446) all_143_0_77 = all_139_0_73
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (446,445) yields a new equation:
% 33.91/8.65 | (447) all_139_0_73 = all_135_0_69
% 33.91/8.65 |
% 33.91/8.65 | Simplifying 447 yields:
% 33.91/8.65 | (448) all_139_0_73 = all_135_0_69
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (402,407) yields a new equation:
% 33.91/8.65 | (449) all_137_0_71 = all_127_3_61
% 33.91/8.65 |
% 33.91/8.65 | Simplifying 449 yields:
% 33.91/8.65 | (450) all_137_0_71 = all_127_3_61
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (413,448) yields a new equation:
% 33.91/8.65 | (451) all_137_0_71 = all_135_0_69
% 33.91/8.65 |
% 33.91/8.65 | Simplifying 451 yields:
% 33.91/8.65 | (452) all_137_0_71 = all_135_0_69
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (404,452) yields a new equation:
% 33.91/8.65 | (453) all_135_0_69 = all_131_3_67
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (450,452) yields a new equation:
% 33.91/8.65 | (454) all_135_0_69 = all_127_3_61
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (453,454) yields a new equation:
% 33.91/8.65 | (455) all_131_3_67 = all_127_3_61
% 33.91/8.65 |
% 33.91/8.65 | Simplifying 455 yields:
% 33.91/8.65 | (456) all_131_3_67 = all_127_3_61
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (406,456) yields a new equation:
% 33.91/8.65 | (457) all_129_0_62 = all_127_3_61
% 33.91/8.65 |
% 33.91/8.65 | Simplifying 457 yields:
% 33.91/8.65 | (458) all_129_0_62 = all_127_3_61
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (405,458) yields a new equation:
% 33.91/8.65 | (459) all_127_3_61 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (459,454) yields a new equation:
% 33.91/8.65 | (460) all_135_0_69 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (460,448) yields a new equation:
% 33.91/8.65 | (461) all_139_0_73 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (460,445) yields a new equation:
% 33.91/8.65 | (462) all_143_0_77 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (462,441) yields a new equation:
% 33.91/8.65 | (463) all_145_3_82 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (463,437) yields a new equation:
% 33.91/8.65 | (464) all_149_3_90 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (438,424) yields a new equation:
% 33.91/8.65 | (367) all_149_1_88 = all_4_3_4
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (463,417) yields a new equation:
% 33.91/8.65 | (466) all_151_3_94 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (462,427) yields a new equation:
% 33.91/8.65 | (467) all_153_3_98 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (467,392) yields a new equation:
% 33.91/8.65 | (468) all_155_3_102 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (422,418) yields a new equation:
% 33.91/8.65 | (419) all_155_0_99 = all_23_1_24
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (434,384) yields a new equation:
% 33.91/8.65 | (470) all_157_1_104 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (461,400) yields a new equation:
% 33.91/8.65 | (471) all_161_3_110 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (412,391) yields a new equation:
% 33.91/8.65 | (390) all_161_2_109 = all_25_2_29
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (435,372) yields a new equation:
% 33.91/8.65 | (473) all_161_1_108 = all_4_0_1
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (409,375) yields a new equation:
% 33.91/8.65 | (374) all_161_0_107 = 0
% 33.91/8.65 |
% 33.91/8.65 | Equations (409) can reduce 408 to:
% 33.91/8.65 | (475) ~ (all_23_0_23 = 0)
% 33.91/8.65 |
% 33.91/8.65 | Simplifying 475 yields:
% 33.91/8.65 | (232) ~ (all_23_0_23 = 0)
% 33.91/8.65 |
% 33.91/8.65 | From (430) and (310) follows:
% 33.91/8.65 | (103) is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13
% 33.91/8.65 |
% 33.91/8.65 | From (434) and (278) follows:
% 33.91/8.65 | (212) is_aligned(all_4_10_11, all_4_9_10) = 0
% 33.91/8.65 |
% 33.91/8.65 | From (426) and (326) follows:
% 33.91/8.65 | (119) has_immunity(all_4_10_11, all_4_7_8) = all_23_2_25
% 33.91/8.65 |
% 33.91/8.65 | From (431) and (288) follows:
% 33.91/8.65 | (102) has_immunity(all_4_10_11, all_4_8_9) = all_13_2_14
% 33.91/8.65 |
% 33.91/8.65 | From (412) and (332) follows:
% 33.91/8.65 | (124) has_immunity(all_4_10_11, all_4_9_10) = all_25_2_29
% 33.91/8.65 |
% 33.91/8.65 | From (459) and (274) follows:
% 33.91/8.65 | (60) organization(all_4_10_11) = 0
% 33.91/8.65 |
% 33.91/8.65 +-Applying beta-rule and splitting (265), into two cases.
% 33.91/8.65 |-Branch one:
% 33.91/8.65 | (483) ~ (has_immunity(all_4_10_11, all_4_8_9) = 0)
% 33.91/8.65 |
% 33.91/8.65 +-Applying beta-rule and splitting (267), into two cases.
% 33.91/8.65 |-Branch one:
% 33.91/8.65 | (484) ~ (has_immunity(all_4_10_11, all_4_9_10) = 0)
% 33.91/8.65 |
% 33.91/8.65 +-Applying beta-rule and splitting (258), into two cases.
% 33.91/8.65 |-Branch one:
% 33.91/8.65 | (485) all_13_1_13 = 0
% 33.91/8.65 |
% 33.91/8.65 +-Applying beta-rule and splitting (263), into two cases.
% 33.91/8.65 |-Branch one:
% 33.91/8.65 | (486) ~ (has_immunity(all_4_10_11, all_4_7_8) = 0)
% 33.91/8.65 |
% 33.91/8.65 +-Applying beta-rule and splitting (282), into two cases.
% 33.91/8.65 |-Branch one:
% 33.91/8.65 | (487) ~ (all_129_1_63 = 0)
% 33.91/8.65 |
% 33.91/8.65 | Equations (385) can reduce 487 to:
% 33.91/8.65 | (209) $false
% 33.91/8.65 |
% 33.91/8.65 |-The branch is then unsatisfiable
% 33.91/8.65 |-Branch two:
% 33.91/8.65 | (385) all_129_1_63 = 0
% 33.91/8.65 | (490) all_129_0_62 = 0 & ~ (all_23_1_24 = 0)
% 33.91/8.65 |
% 33.91/8.65 | Applying alpha-rule on (490) yields:
% 33.91/8.65 | (405) all_129_0_62 = 0
% 33.91/8.65 | (492) ~ (all_23_1_24 = 0)
% 33.91/8.65 |
% 33.91/8.65 +-Applying beta-rule and splitting (255), into two cases.
% 33.91/8.65 |-Branch one:
% 33.91/8.65 | (493) all_23_1_24 = 0
% 33.91/8.65 |
% 33.91/8.65 | Equations (493) can reduce 492 to:
% 33.91/8.65 | (209) $false
% 33.91/8.65 |
% 33.91/8.65 |-The branch is then unsatisfiable
% 33.91/8.65 |-Branch two:
% 33.91/8.65 | (492) ~ (all_23_1_24 = 0)
% 33.91/8.65 | (496) ? [v0] : ? [v1] : (dissimilar(all_4_10_11, all_4_7_8, all_4_9_10) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 33.91/8.65 |
% 33.91/8.65 | Using (119) and (486) yields:
% 33.91/8.65 | (497) ~ (all_23_2_25 = 0)
% 33.91/8.65 |
% 33.91/8.65 | Using (102) and (483) yields:
% 33.91/8.65 | (498) ~ (all_13_2_14 = 0)
% 33.91/8.65 |
% 33.91/8.65 | Using (124) and (484) yields:
% 33.91/8.65 | (499) ~ (all_25_2_29 = 0)
% 33.91/8.65 |
% 33.91/8.65 +-Applying beta-rule and splitting (328), into two cases.
% 33.91/8.65 |-Branch one:
% 33.91/8.65 | (500) ~ (all_151_3_94 = 0)
% 33.91/8.65 |
% 33.91/8.65 | Equations (466) can reduce 500 to:
% 33.91/8.65 | (209) $false
% 33.91/8.65 |
% 33.91/8.65 |-The branch is then unsatisfiable
% 33.91/8.65 |-Branch two:
% 33.91/8.65 | (466) all_151_3_94 = 0
% 33.91/8.65 | (503) ( ~ (all_151_2_93 = 0) | all_151_1_92 = very_low) & (all_151_2_93 = 0 | (( ~ (all_151_0_91 = 0) | all_151_1_92 = mod2 | all_25_0_27 = 0) & ( ~ (all_25_0_27 = 0) | (( ~ (all_151_0_91 = 0) | all_151_1_92 = low) & (all_151_0_91 = 0 | all_151_1_92 = mod1))) & (all_151_0_91 = 0 | all_151_1_92 = high | all_25_0_27 = 0)))
% 33.91/8.65 |
% 33.91/8.65 | Applying alpha-rule on (503) yields:
% 33.91/8.65 | (504) ~ (all_151_2_93 = 0) | all_151_1_92 = very_low
% 33.91/8.65 | (505) all_151_2_93 = 0 | (( ~ (all_151_0_91 = 0) | all_151_1_92 = mod2 | all_25_0_27 = 0) & ( ~ (all_25_0_27 = 0) | (( ~ (all_151_0_91 = 0) | all_151_1_92 = low) & (all_151_0_91 = 0 | all_151_1_92 = mod1))) & (all_151_0_91 = 0 | all_151_1_92 = high | all_25_0_27 = 0))
% 33.91/8.65 |
% 33.91/8.65 +-Applying beta-rule and splitting (359), into two cases.
% 33.91/8.65 |-Branch one:
% 33.91/8.65 | (506) ~ (all_161_3_110 = 0)
% 33.91/8.65 |
% 33.91/8.65 | Equations (471) can reduce 506 to:
% 33.91/8.65 | (209) $false
% 33.91/8.65 |
% 33.91/8.65 |-The branch is then unsatisfiable
% 33.91/8.65 |-Branch two:
% 33.91/8.65 | (471) all_161_3_110 = 0
% 33.91/8.65 | (509) ( ~ (all_161_2_109 = 0) | all_161_1_108 = very_low) & (all_161_2_109 = 0 | (( ~ (all_161_0_107 = 0) | all_161_1_108 = low) & (all_161_0_107 = 0 | all_161_1_108 = mod2)))
% 33.91/8.65 |
% 33.91/8.65 | Applying alpha-rule on (509) yields:
% 33.91/8.65 | (510) ~ (all_161_2_109 = 0) | all_161_1_108 = very_low
% 33.91/8.65 | (511) all_161_2_109 = 0 | (( ~ (all_161_0_107 = 0) | all_161_1_108 = low) & (all_161_0_107 = 0 | all_161_1_108 = mod2))
% 33.91/8.65 |
% 33.91/8.65 +-Applying beta-rule and splitting (505), into two cases.
% 33.91/8.65 |-Branch one:
% 33.91/8.65 | (512) all_151_2_93 = 0
% 33.91/8.65 |
% 33.91/8.65 | Combining equations (412,512) yields a new equation:
% 33.91/8.65 | (513) all_25_2_29 = 0
% 33.91/8.65 |
% 33.91/8.65 | Simplifying 513 yields:
% 33.91/8.65 | (514) all_25_2_29 = 0
% 33.91/8.65 |
% 33.91/8.65 | Equations (514) can reduce 499 to:
% 33.91/8.65 | (209) $false
% 33.91/8.65 |
% 33.91/8.65 |-The branch is then unsatisfiable
% 33.91/8.65 |-Branch two:
% 33.91/8.65 | (516) ~ (all_151_2_93 = 0)
% 33.91/8.65 | (517) ( ~ (all_151_0_91 = 0) | all_151_1_92 = mod2 | all_25_0_27 = 0) & ( ~ (all_25_0_27 = 0) | (( ~ (all_151_0_91 = 0) | all_151_1_92 = low) & (all_151_0_91 = 0 | all_151_1_92 = mod1))) & (all_151_0_91 = 0 | all_151_1_92 = high | all_25_0_27 = 0)
% 33.91/8.65 |
% 33.91/8.65 | Equations (412) can reduce 516 to:
% 33.91/8.65 | (499) ~ (all_25_2_29 = 0)
% 33.91/8.65 |
% 33.91/8.65 +-Applying beta-rule and splitting (325), into two cases.
% 33.91/8.65 |-Branch one:
% 33.91/8.65 | (519) ~ (all_149_3_90 = 0)
% 33.91/8.65 |
% 33.91/8.65 | Equations (464) can reduce 519 to:
% 33.91/8.65 | (209) $false
% 33.91/8.65 |
% 33.91/8.65 |-The branch is then unsatisfiable
% 33.91/8.65 |-Branch two:
% 33.91/8.65 | (464) all_149_3_90 = 0
% 33.91/8.65 | (522) ( ~ (all_149_2_89 = 0) | all_149_1_88 = very_low) & (all_149_2_89 = 0 | (( ~ (all_149_0_87 = 0) | (( ~ (all_23_1_24 = 0) | all_149_1_88 = low) & (all_149_1_88 = mod1 | all_23_1_24 = 0))) & ( ~ (all_23_1_24 = 0) | all_149_0_87 = 0 | all_149_1_88 = mod2) & (all_149_0_87 = 0 | all_149_1_88 = high | all_23_1_24 = 0)))
% 33.91/8.66 |
% 33.91/8.66 | Applying alpha-rule on (522) yields:
% 33.91/8.66 | (523) ~ (all_149_2_89 = 0) | all_149_1_88 = very_low
% 33.91/8.66 | (524) all_149_2_89 = 0 | (( ~ (all_149_0_87 = 0) | (( ~ (all_23_1_24 = 0) | all_149_1_88 = low) & (all_149_1_88 = mod1 | all_23_1_24 = 0))) & ( ~ (all_23_1_24 = 0) | all_149_0_87 = 0 | all_149_1_88 = mod2) & (all_149_0_87 = 0 | all_149_1_88 = high | all_23_1_24 = 0))
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (104), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (525) ~ (all_13_3_15 = 0)
% 33.91/8.66 |
% 33.91/8.66 | Equations (200) can reduce 525 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (200) all_13_3_15 = 0
% 33.91/8.66 | (528) ( ~ (all_13_2_14 = 0) | all_4_2_3 = very_low) & (all_13_2_14 = 0 | (( ~ (all_13_0_12 = 0) | (( ~ (all_13_1_13 = 0) | all_4_2_3 = low) & (all_13_1_13 = 0 | all_4_2_3 = mod1))) & ( ~ (all_13_1_13 = 0) | all_13_0_12 = 0 | all_4_2_3 = mod2) & (all_13_0_12 = 0 | all_13_1_13 = 0 | all_4_2_3 = high)))
% 33.91/8.66 |
% 33.91/8.66 | Applying alpha-rule on (528) yields:
% 33.91/8.66 | (529) ~ (all_13_2_14 = 0) | all_4_2_3 = very_low
% 33.91/8.66 | (530) all_13_2_14 = 0 | (( ~ (all_13_0_12 = 0) | (( ~ (all_13_1_13 = 0) | all_4_2_3 = low) & (all_13_1_13 = 0 | all_4_2_3 = mod1))) & ( ~ (all_13_1_13 = 0) | all_13_0_12 = 0 | all_4_2_3 = mod2) & (all_13_0_12 = 0 | all_13_1_13 = 0 | all_4_2_3 = high))
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (511), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (531) all_161_2_109 = 0
% 33.91/8.66 |
% 33.91/8.66 | Combining equations (390,531) yields a new equation:
% 33.91/8.66 | (513) all_25_2_29 = 0
% 33.91/8.66 |
% 33.91/8.66 | Simplifying 513 yields:
% 33.91/8.66 | (514) all_25_2_29 = 0
% 33.91/8.66 |
% 33.91/8.66 | Equations (514) can reduce 499 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (535) ~ (all_161_2_109 = 0)
% 33.91/8.66 | (536) ( ~ (all_161_0_107 = 0) | all_161_1_108 = low) & (all_161_0_107 = 0 | all_161_1_108 = mod2)
% 33.91/8.66 |
% 33.91/8.66 | Applying alpha-rule on (536) yields:
% 33.91/8.66 | (537) ~ (all_161_0_107 = 0) | all_161_1_108 = low
% 33.91/8.66 | (538) all_161_0_107 = 0 | all_161_1_108 = mod2
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (537), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (539) ~ (all_161_0_107 = 0)
% 33.91/8.66 |
% 33.91/8.66 | Equations (374) can reduce 539 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (374) all_161_0_107 = 0
% 33.91/8.66 | (542) all_161_1_108 = low
% 33.91/8.66 |
% 33.91/8.66 | Combining equations (542,473) yields a new equation:
% 33.91/8.66 | (543) all_4_0_1 = low
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (530), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (544) all_13_2_14 = 0
% 33.91/8.66 |
% 33.91/8.66 | Equations (544) can reduce 498 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (498) ~ (all_13_2_14 = 0)
% 33.91/8.66 | (547) ( ~ (all_13_0_12 = 0) | (( ~ (all_13_1_13 = 0) | all_4_2_3 = low) & (all_13_1_13 = 0 | all_4_2_3 = mod1))) & ( ~ (all_13_1_13 = 0) | all_13_0_12 = 0 | all_4_2_3 = mod2) & (all_13_0_12 = 0 | all_13_1_13 = 0 | all_4_2_3 = high)
% 33.91/8.66 |
% 33.91/8.66 | Applying alpha-rule on (547) yields:
% 33.91/8.66 | (548) ~ (all_13_0_12 = 0) | (( ~ (all_13_1_13 = 0) | all_4_2_3 = low) & (all_13_1_13 = 0 | all_4_2_3 = mod1))
% 33.91/8.66 | (549) ~ (all_13_1_13 = 0) | all_13_0_12 = 0 | all_4_2_3 = mod2
% 33.91/8.66 | (550) all_13_0_12 = 0 | all_13_1_13 = 0 | all_4_2_3 = high
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (342), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (551) ~ (all_155_3_102 = 0)
% 33.91/8.66 |
% 33.91/8.66 | Equations (468) can reduce 551 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (468) all_155_3_102 = 0
% 33.91/8.66 | (554) ( ~ (all_155_2_101 = 0) | all_155_1_100 = very_low) & (all_155_2_101 = 0 | (( ~ (all_155_0_99 = 0) | all_155_1_100 = mod2 | all_23_0_23 = 0) & ( ~ (all_23_0_23 = 0) | (( ~ (all_155_0_99 = 0) | all_155_1_100 = low) & (all_155_0_99 = 0 | all_155_1_100 = mod1))) & (all_155_0_99 = 0 | all_155_1_100 = high | all_23_0_23 = 0)))
% 33.91/8.66 |
% 33.91/8.66 | Applying alpha-rule on (554) yields:
% 33.91/8.66 | (555) ~ (all_155_2_101 = 0) | all_155_1_100 = very_low
% 33.91/8.66 | (556) all_155_2_101 = 0 | (( ~ (all_155_0_99 = 0) | all_155_1_100 = mod2 | all_23_0_23 = 0) & ( ~ (all_23_0_23 = 0) | (( ~ (all_155_0_99 = 0) | all_155_1_100 = low) & (all_155_0_99 = 0 | all_155_1_100 = mod1))) & (all_155_0_99 = 0 | all_155_1_100 = high | all_23_0_23 = 0))
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (548), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (557) ~ (all_13_0_12 = 0)
% 33.91/8.66 |
% 33.91/8.66 | Equations (223) can reduce 557 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (223) all_13_0_12 = 0
% 33.91/8.66 | (560) ( ~ (all_13_1_13 = 0) | all_4_2_3 = low) & (all_13_1_13 = 0 | all_4_2_3 = mod1)
% 33.91/8.66 |
% 33.91/8.66 | Applying alpha-rule on (560) yields:
% 33.91/8.66 | (561) ~ (all_13_1_13 = 0) | all_4_2_3 = low
% 33.91/8.66 | (562) all_13_1_13 = 0 | all_4_2_3 = mod1
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (561), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (563) ~ (all_13_1_13 = 0)
% 33.91/8.66 |
% 33.91/8.66 | Equations (485) can reduce 563 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (485) all_13_1_13 = 0
% 33.91/8.66 | (566) all_4_2_3 = low
% 33.91/8.66 |
% 33.91/8.66 | From (566) and (58) follows:
% 33.91/8.66 | (567) greater(all_4_3_4, low) = all_4_1_2
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (62), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (568) ~ (all_4_1_2 = 0)
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (556), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (569) all_155_2_101 = 0
% 33.91/8.66 |
% 33.91/8.66 | Combining equations (386,569) yields a new equation:
% 33.91/8.66 | (570) all_23_2_25 = 0
% 33.91/8.66 |
% 33.91/8.66 | Simplifying 570 yields:
% 33.91/8.66 | (571) all_23_2_25 = 0
% 33.91/8.66 |
% 33.91/8.66 | Equations (571) can reduce 497 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (573) ~ (all_155_2_101 = 0)
% 33.91/8.66 | (574) ( ~ (all_155_0_99 = 0) | all_155_1_100 = mod2 | all_23_0_23 = 0) & ( ~ (all_23_0_23 = 0) | (( ~ (all_155_0_99 = 0) | all_155_1_100 = low) & (all_155_0_99 = 0 | all_155_1_100 = mod1))) & (all_155_0_99 = 0 | all_155_1_100 = high | all_23_0_23 = 0)
% 33.91/8.66 |
% 33.91/8.66 | Applying alpha-rule on (574) yields:
% 33.91/8.66 | (575) ~ (all_155_0_99 = 0) | all_155_1_100 = mod2 | all_23_0_23 = 0
% 33.91/8.66 | (576) ~ (all_23_0_23 = 0) | (( ~ (all_155_0_99 = 0) | all_155_1_100 = low) & (all_155_0_99 = 0 | all_155_1_100 = mod1))
% 33.91/8.66 | (577) all_155_0_99 = 0 | all_155_1_100 = high | all_23_0_23 = 0
% 33.91/8.66 |
% 33.91/8.66 | Equations (386) can reduce 573 to:
% 33.91/8.66 | (497) ~ (all_23_2_25 = 0)
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (88), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (579) ~ (greater(all_4_3_4, low) = all_4_1_2)
% 33.91/8.66 |
% 33.91/8.66 | Using (567) and (579) yields:
% 33.91/8.66 | (161) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (567) greater(all_4_3_4, low) = all_4_1_2
% 33.91/8.66 | (582) all_4_1_2 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_4_3_4, mod2) = v0)
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (577), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (583) all_155_0_99 = 0
% 33.91/8.66 |
% 33.91/8.66 | Combining equations (419,583) yields a new equation:
% 33.91/8.66 | (584) all_23_1_24 = 0
% 33.91/8.66 |
% 33.91/8.66 | Simplifying 584 yields:
% 33.91/8.66 | (493) all_23_1_24 = 0
% 33.91/8.66 |
% 33.91/8.66 | Equations (493) can reduce 492 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (587) ~ (all_155_0_99 = 0)
% 33.91/8.66 | (588) all_155_1_100 = high | all_23_0_23 = 0
% 33.91/8.66 |
% 33.91/8.66 | Equations (419) can reduce 587 to:
% 33.91/8.66 | (492) ~ (all_23_1_24 = 0)
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (87), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (590) all_4_1_2 = 0
% 33.91/8.66 |
% 33.91/8.66 | Equations (590) can reduce 568 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (568) ~ (all_4_1_2 = 0)
% 33.91/8.66 | (593) ? [v0] : ( ~ (v0 = 0) & smaller(all_4_2_3, all_4_3_4) = v0)
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (269), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (579) ~ (greater(all_4_3_4, low) = all_4_1_2)
% 33.91/8.66 |
% 33.91/8.66 | Using (567) and (579) yields:
% 33.91/8.66 | (161) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (567) greater(all_4_3_4, low) = all_4_1_2
% 33.91/8.66 | (597) all_4_1_2 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_4_3_4, high) = v0)
% 33.91/8.66 |
% 33.91/8.66 +-Applying beta-rule and splitting (524), into two cases.
% 33.91/8.66 |-Branch one:
% 33.91/8.66 | (598) all_149_2_89 = 0
% 33.91/8.66 |
% 33.91/8.66 | Combining equations (426,598) yields a new equation:
% 33.91/8.66 | (570) all_23_2_25 = 0
% 33.91/8.66 |
% 33.91/8.66 | Simplifying 570 yields:
% 33.91/8.66 | (571) all_23_2_25 = 0
% 33.91/8.66 |
% 33.91/8.66 | Equations (571) can reduce 497 to:
% 33.91/8.66 | (209) $false
% 33.91/8.66 |
% 33.91/8.66 |-The branch is then unsatisfiable
% 33.91/8.66 |-Branch two:
% 33.91/8.66 | (602) ~ (all_149_2_89 = 0)
% 33.91/8.66 | (603) ( ~ (all_149_0_87 = 0) | (( ~ (all_23_1_24 = 0) | all_149_1_88 = low) & (all_149_1_88 = mod1 | all_23_1_24 = 0))) & ( ~ (all_23_1_24 = 0) | all_149_0_87 = 0 | all_149_1_88 = mod2) & (all_149_0_87 = 0 | all_149_1_88 = high | all_23_1_24 = 0)
% 33.91/8.67 |
% 33.91/8.67 | Applying alpha-rule on (603) yields:
% 33.91/8.67 | (604) ~ (all_149_0_87 = 0) | (( ~ (all_23_1_24 = 0) | all_149_1_88 = low) & (all_149_1_88 = mod1 | all_23_1_24 = 0))
% 33.91/8.67 | (605) ~ (all_23_1_24 = 0) | all_149_0_87 = 0 | all_149_1_88 = mod2
% 33.91/8.67 | (606) all_149_0_87 = 0 | all_149_1_88 = high | all_23_1_24 = 0
% 33.91/8.67 |
% 33.91/8.67 +-Applying beta-rule and splitting (90), into two cases.
% 33.91/8.67 |-Branch one:
% 33.91/8.67 | (579) ~ (greater(all_4_3_4, low) = all_4_1_2)
% 33.91/8.67 |
% 33.91/8.67 | Using (567) and (579) yields:
% 33.91/8.67 | (161) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (567) greater(all_4_3_4, low) = all_4_1_2
% 33.91/8.67 | (610) all_4_1_2 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(all_4_3_4, mod1) = v0)
% 33.91/8.67 |
% 33.91/8.67 +-Applying beta-rule and splitting (597), into two cases.
% 33.91/8.67 |-Branch one:
% 33.91/8.67 | (590) all_4_1_2 = 0
% 33.91/8.67 |
% 33.91/8.67 | Equations (590) can reduce 568 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (568) ~ (all_4_1_2 = 0)
% 33.91/8.67 | (614) ? [v0] : ( ~ (v0 = 0) & greater(all_4_3_4, high) = v0)
% 33.91/8.67 |
% 33.91/8.67 +-Applying beta-rule and splitting (606), into two cases.
% 33.91/8.67 |-Branch one:
% 33.91/8.67 | (615) all_149_0_87 = 0
% 33.91/8.67 |
% 33.91/8.67 | Combining equations (373,615) yields a new equation:
% 33.91/8.67 | (616) all_23_0_23 = 0
% 33.91/8.67 |
% 33.91/8.67 | Simplifying 616 yields:
% 33.91/8.67 | (617) all_23_0_23 = 0
% 33.91/8.67 |
% 33.91/8.67 | Equations (617) can reduce 232 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (619) ~ (all_149_0_87 = 0)
% 33.91/8.67 | (620) all_149_1_88 = high | all_23_1_24 = 0
% 33.91/8.67 |
% 33.91/8.67 +-Applying beta-rule and splitting (610), into two cases.
% 33.91/8.67 |-Branch one:
% 33.91/8.67 | (590) all_4_1_2 = 0
% 33.91/8.67 |
% 33.91/8.67 | Equations (590) can reduce 568 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (568) ~ (all_4_1_2 = 0)
% 33.91/8.67 | (624) ? [v0] : ( ~ (v0 = 0) & greater(all_4_3_4, mod1) = v0)
% 33.91/8.67 |
% 33.91/8.67 +-Applying beta-rule and splitting (620), into two cases.
% 33.91/8.67 |-Branch one:
% 33.91/8.67 | (493) all_23_1_24 = 0
% 33.91/8.67 |
% 33.91/8.67 | Equations (493) can reduce 492 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (492) ~ (all_23_1_24 = 0)
% 33.91/8.67 | (628) all_149_1_88 = high
% 33.91/8.67 |
% 33.91/8.67 | Combining equations (367,628) yields a new equation:
% 33.91/8.67 | (629) all_4_3_4 = high
% 33.91/8.67 |
% 33.91/8.67 | Simplifying 629 yields:
% 33.91/8.67 | (630) all_4_3_4 = high
% 33.91/8.67 |
% 33.91/8.67 | From (630) and (567) follows:
% 33.91/8.67 | (631) greater(high, low) = all_4_1_2
% 33.91/8.67 |
% 33.91/8.67 +-Applying beta-rule and splitting (582), into two cases.
% 33.91/8.67 |-Branch one:
% 33.91/8.67 | (590) all_4_1_2 = 0
% 33.91/8.67 |
% 33.91/8.67 | Equations (590) can reduce 568 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (568) ~ (all_4_1_2 = 0)
% 33.91/8.67 | (635) ? [v0] : ( ~ (v0 = 0) & greater(all_4_3_4, mod2) = v0)
% 33.91/8.67 |
% 33.91/8.67 +-Applying beta-rule and splitting (86), into two cases.
% 33.91/8.67 |-Branch one:
% 33.91/8.67 | (590) all_4_1_2 = 0
% 33.91/8.67 |
% 33.91/8.67 | Equations (590) can reduce 568 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (568) ~ (all_4_1_2 = 0)
% 33.91/8.67 | (639) all_4_2_3 = all_4_3_4 | ? [v0] : ( ~ (v0 = 0) & greater_or_equal(all_4_3_4, all_4_2_3) = v0)
% 33.91/8.67 |
% 33.91/8.67 +-Applying beta-rule and splitting (270), into two cases.
% 33.91/8.67 |-Branch one:
% 33.91/8.67 | (640) ~ (greater(high, all_4_2_3) = all_4_1_2)
% 33.91/8.67 |
% 33.91/8.67 | From (566) and (640) follows:
% 33.91/8.67 | (641) ~ (greater(high, low) = all_4_1_2)
% 33.91/8.67 |
% 33.91/8.67 | Using (631) and (641) yields:
% 33.91/8.67 | (161) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (643) greater(high, all_4_2_3) = all_4_1_2
% 33.91/8.67 | (644) all_4_1_2 = 0 | ? [v0] : ( ~ (v0 = 0) & greater(low, all_4_2_3) = v0)
% 33.91/8.67 |
% 33.91/8.67 | From (566) and (643) follows:
% 33.91/8.67 | (631) greater(high, low) = all_4_1_2
% 33.91/8.67 |
% 33.91/8.67 +-Applying beta-rule and splitting (644), into two cases.
% 33.91/8.67 |-Branch one:
% 33.91/8.67 | (590) all_4_1_2 = 0
% 33.91/8.67 |
% 33.91/8.67 | Equations (590) can reduce 568 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (568) ~ (all_4_1_2 = 0)
% 33.91/8.67 | (649) ? [v0] : ( ~ (v0 = 0) & greater(low, all_4_2_3) = v0)
% 33.91/8.67 |
% 33.91/8.67 | Instantiating formula (9) with high, low, all_4_1_2, 0 and discharging atoms greater(high, low) = all_4_1_2, greater(high, low) = 0, yields:
% 33.91/8.67 | (590) all_4_1_2 = 0
% 33.91/8.67 |
% 33.91/8.67 | Equations (590) can reduce 568 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (590) all_4_1_2 = 0
% 33.91/8.67 | (653) ~ (all_4_0_1 = all_4_2_3)
% 33.91/8.67 |
% 33.91/8.67 | Equations (543,566) can reduce 653 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (655) has_immunity(all_4_10_11, all_4_7_8) = 0
% 33.91/8.67 | (656) ? [v0] : ? [v1] : (organization(all_4_10_11) = v0 & has_endowment(all_4_10_11) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 33.91/8.67 |
% 33.91/8.67 | Instantiating (656) with all_255_0_129, all_255_1_130 yields:
% 33.91/8.67 | (657) organization(all_4_10_11) = all_255_1_130 & has_endowment(all_4_10_11) = all_255_0_129 & ( ~ (all_255_1_130 = 0) | all_255_0_129 = 0)
% 33.91/8.67 |
% 33.91/8.67 | Applying alpha-rule on (657) yields:
% 33.91/8.67 | (658) organization(all_4_10_11) = all_255_1_130
% 33.91/8.67 | (659) has_endowment(all_4_10_11) = all_255_0_129
% 33.91/8.67 | (660) ~ (all_255_1_130 = 0) | all_255_0_129 = 0
% 33.91/8.67 |
% 33.91/8.67 | Instantiating formula (5) with all_4_10_11, all_255_1_130, 0 and discharging atoms organization(all_4_10_11) = all_255_1_130, organization(all_4_10_11) = 0, yields:
% 33.91/8.67 | (661) all_255_1_130 = 0
% 33.91/8.67 |
% 33.91/8.67 | Instantiating formula (1) with all_4_10_11, all_255_0_129, all_4_6_7 and discharging atoms has_endowment(all_4_10_11) = all_255_0_129, has_endowment(all_4_10_11) = all_4_6_7, yields:
% 33.91/8.67 | (662) all_255_0_129 = all_4_6_7
% 33.91/8.67 |
% 33.91/8.67 +-Applying beta-rule and splitting (660), into two cases.
% 33.91/8.67 |-Branch one:
% 33.91/8.67 | (663) ~ (all_255_1_130 = 0)
% 33.91/8.67 |
% 33.91/8.67 | Equations (661) can reduce 663 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.67 |-Branch two:
% 33.91/8.67 | (661) all_255_1_130 = 0
% 33.91/8.67 | (666) all_255_0_129 = 0
% 33.91/8.67 |
% 33.91/8.67 | Combining equations (666,662) yields a new equation:
% 33.91/8.67 | (667) all_4_6_7 = 0
% 33.91/8.67 |
% 33.91/8.67 | Equations (667) can reduce 71 to:
% 33.91/8.67 | (209) $false
% 33.91/8.67 |
% 33.91/8.67 |-The branch is then unsatisfiable
% 33.91/8.68 |-Branch two:
% 33.91/8.68 | (563) ~ (all_13_1_13 = 0)
% 33.91/8.68 | (670) ? [v0] : ? [v1] : (dissimilar(all_4_10_11, all_4_9_10, all_4_8_9) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 33.91/8.68 |
% 33.91/8.68 +-Applying beta-rule and splitting (262), into two cases.
% 33.91/8.68 |-Branch one:
% 33.91/8.68 | (671) all_21_0_20 = 0
% 33.91/8.68 |
% 33.91/8.68 | Equations (671) can reduce 244 to:
% 33.91/8.68 | (209) $false
% 33.91/8.68 |
% 33.91/8.68 |-The branch is then unsatisfiable
% 33.91/8.68 |-Branch two:
% 33.91/8.68 | (244) ~ (all_21_0_20 = 0)
% 33.91/8.68 | (674) ? [v0] : ? [v1] : ? [v2] : (is_aligned(all_4_10_11, all_4_8_9) = v2 & is_aligned(all_4_10_11, all_4_9_10) = v1 & organization(all_4_10_11) = v0 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 33.91/8.68 |
% 33.91/8.68 | Instantiating (674) with all_265_0_135, all_265_1_136, all_265_2_137 yields:
% 33.91/8.68 | (675) is_aligned(all_4_10_11, all_4_8_9) = all_265_0_135 & is_aligned(all_4_10_11, all_4_9_10) = all_265_1_136 & organization(all_4_10_11) = all_265_2_137 & ( ~ (all_265_2_137 = 0) | (( ~ (all_265_0_135 = 0) | all_265_1_136 = 0) & ( ~ (all_265_1_136 = 0) | all_265_0_135 = 0)))
% 33.91/8.68 |
% 33.91/8.68 | Applying alpha-rule on (675) yields:
% 33.91/8.68 | (676) is_aligned(all_4_10_11, all_4_8_9) = all_265_0_135
% 33.91/8.68 | (677) is_aligned(all_4_10_11, all_4_9_10) = all_265_1_136
% 33.91/8.68 | (678) organization(all_4_10_11) = all_265_2_137
% 33.91/8.68 | (679) ~ (all_265_2_137 = 0) | (( ~ (all_265_0_135 = 0) | all_265_1_136 = 0) & ( ~ (all_265_1_136 = 0) | all_265_0_135 = 0))
% 33.91/8.68 |
% 33.91/8.68 +-Applying beta-rule and splitting (381), into two cases.
% 33.91/8.68 |-Branch one:
% 33.91/8.68 | (680) ~ (is_aligned(all_4_10_11, all_4_9_10) = all_145_1_80)
% 33.91/8.68 |
% 33.91/8.68 | From (430) and (680) follows:
% 33.91/8.68 | (681) ~ (is_aligned(all_4_10_11, all_4_9_10) = all_13_1_13)
% 33.91/8.68 |
% 33.91/8.68 | Instantiating formula (3) with all_4_10_11, all_4_8_9, all_265_0_135, all_13_1_13 and discharging atoms is_aligned(all_4_10_11, all_4_8_9) = all_265_0_135, is_aligned(all_4_10_11, all_4_8_9) = all_13_1_13, yields:
% 33.91/8.68 | (682) all_265_0_135 = all_13_1_13
% 33.91/8.68 |
% 33.91/8.68 | Instantiating formula (3) with all_4_10_11, all_4_9_10, all_265_1_136, 0 and discharging atoms is_aligned(all_4_10_11, all_4_9_10) = all_265_1_136, is_aligned(all_4_10_11, all_4_9_10) = 0, yields:
% 33.91/8.68 | (683) all_265_1_136 = 0
% 33.91/8.68 |
% 33.91/8.68 | Instantiating formula (5) with all_4_10_11, all_265_2_137, 0 and discharging atoms organization(all_4_10_11) = all_265_2_137, organization(all_4_10_11) = 0, yields:
% 33.91/8.68 | (684) all_265_2_137 = 0
% 33.91/8.68 |
% 33.91/8.68 | Using (677) and (681) yields:
% 33.91/8.68 | (685) ~ (all_265_1_136 = all_13_1_13)
% 33.91/8.68 |
% 33.91/8.68 | Equations (683) can reduce 685 to:
% 33.91/8.68 | (686) ~ (all_13_1_13 = 0)
% 33.91/8.68 |
% 33.91/8.68 | Simplifying 686 yields:
% 33.91/8.68 | (563) ~ (all_13_1_13 = 0)
% 33.91/8.68 |
% 33.91/8.68 +-Applying beta-rule and splitting (679), into two cases.
% 33.91/8.68 |-Branch one:
% 33.91/8.68 | (688) ~ (all_265_2_137 = 0)
% 33.91/8.68 |
% 33.91/8.68 | Equations (684) can reduce 688 to:
% 33.91/8.68 | (209) $false
% 33.91/8.68 |
% 33.91/8.68 |-The branch is then unsatisfiable
% 33.91/8.68 |-Branch two:
% 33.91/8.68 | (684) all_265_2_137 = 0
% 33.91/8.68 | (691) ( ~ (all_265_0_135 = 0) | all_265_1_136 = 0) & ( ~ (all_265_1_136 = 0) | all_265_0_135 = 0)
% 33.91/8.68 |
% 33.91/8.68 | Applying alpha-rule on (691) yields:
% 33.91/8.68 | (692) ~ (all_265_0_135 = 0) | all_265_1_136 = 0
% 33.91/8.68 | (693) ~ (all_265_1_136 = 0) | all_265_0_135 = 0
% 33.91/8.68 |
% 33.91/8.68 +-Applying beta-rule and splitting (693), into two cases.
% 33.91/8.68 |-Branch one:
% 33.91/8.68 | (694) ~ (all_265_1_136 = 0)
% 33.91/8.68 |
% 33.91/8.68 | Equations (683) can reduce 694 to:
% 33.91/8.68 | (209) $false
% 33.91/8.68 |
% 33.91/8.68 |-The branch is then unsatisfiable
% 33.91/8.68 |-Branch two:
% 33.91/8.68 | (683) all_265_1_136 = 0
% 33.91/8.68 | (697) all_265_0_135 = 0
% 33.91/8.68 |
% 33.91/8.68 | Combining equations (697,682) yields a new equation:
% 33.91/8.68 | (485) all_13_1_13 = 0
% 33.91/8.68 |
% 33.91/8.68 | Equations (485) can reduce 563 to:
% 33.91/8.68 | (209) $false
% 33.91/8.68 |
% 33.91/8.68 |-The branch is then unsatisfiable
% 33.91/8.68 |-Branch two:
% 33.91/8.68 | (700) is_aligned(all_4_10_11, all_4_9_10) = all_145_1_80
% 33.91/8.68 | (701) all_157_1_104 = all_145_1_80
% 33.91/8.68 |
% 33.91/8.68 | Combining equations (470,701) yields a new equation:
% 33.91/8.68 | (702) all_145_1_80 = 0
% 33.91/8.68 |
% 33.91/8.68 | Combining equations (702,430) yields a new equation:
% 33.91/8.68 | (485) all_13_1_13 = 0
% 33.91/8.68 |
% 33.91/8.68 | Equations (485) can reduce 563 to:
% 33.91/8.68 | (209) $false
% 33.91/8.68 |
% 33.91/8.68 |-The branch is then unsatisfiable
% 33.91/8.68 |-Branch two:
% 33.91/8.68 | (705) has_immunity(all_4_10_11, all_4_9_10) = 0
% 33.91/8.68 | (656) ? [v0] : ? [v1] : (organization(all_4_10_11) = v0 & has_endowment(all_4_10_11) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 33.91/8.68 |
% 33.91/8.68 | Instantiating (656) with all_247_0_138, all_247_1_139 yields:
% 33.91/8.68 | (707) organization(all_4_10_11) = all_247_1_139 & has_endowment(all_4_10_11) = all_247_0_138 & ( ~ (all_247_1_139 = 0) | all_247_0_138 = 0)
% 33.91/8.68 |
% 33.91/8.68 | Applying alpha-rule on (707) yields:
% 33.91/8.68 | (708) organization(all_4_10_11) = all_247_1_139
% 33.91/8.68 | (709) has_endowment(all_4_10_11) = all_247_0_138
% 33.91/8.68 | (710) ~ (all_247_1_139 = 0) | all_247_0_138 = 0
% 33.91/8.68 |
% 33.91/8.68 | Instantiating formula (5) with all_4_10_11, all_247_1_139, 0 and discharging atoms organization(all_4_10_11) = all_247_1_139, organization(all_4_10_11) = 0, yields:
% 33.91/8.68 | (711) all_247_1_139 = 0
% 33.91/8.68 |
% 33.91/8.68 | Instantiating formula (1) with all_4_10_11, all_247_0_138, all_4_6_7 and discharging atoms has_endowment(all_4_10_11) = all_247_0_138, has_endowment(all_4_10_11) = all_4_6_7, yields:
% 33.91/8.68 | (712) all_247_0_138 = all_4_6_7
% 33.91/8.68 |
% 33.91/8.68 +-Applying beta-rule and splitting (710), into two cases.
% 33.91/8.68 |-Branch one:
% 33.91/8.68 | (713) ~ (all_247_1_139 = 0)
% 33.91/8.68 |
% 33.91/8.68 | Equations (711) can reduce 713 to:
% 33.91/8.68 | (209) $false
% 33.91/8.68 |
% 33.91/8.68 |-The branch is then unsatisfiable
% 33.91/8.68 |-Branch two:
% 33.91/8.68 | (711) all_247_1_139 = 0
% 33.91/8.68 | (716) all_247_0_138 = 0
% 33.91/8.68 |
% 33.91/8.68 | Combining equations (716,712) yields a new equation:
% 33.91/8.68 | (667) all_4_6_7 = 0
% 33.91/8.68 |
% 33.91/8.68 | Equations (667) can reduce 71 to:
% 33.91/8.68 | (209) $false
% 33.91/8.68 |
% 33.91/8.68 |-The branch is then unsatisfiable
% 33.91/8.68 |-Branch two:
% 33.91/8.68 | (719) has_immunity(all_4_10_11, all_4_8_9) = 0
% 33.91/8.68 | (656) ? [v0] : ? [v1] : (organization(all_4_10_11) = v0 & has_endowment(all_4_10_11) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 33.91/8.68 |
% 33.91/8.68 | Instantiating (656) with all_243_0_142, all_243_1_143 yields:
% 33.91/8.68 | (721) organization(all_4_10_11) = all_243_1_143 & has_endowment(all_4_10_11) = all_243_0_142 & ( ~ (all_243_1_143 = 0) | all_243_0_142 = 0)
% 33.91/8.68 |
% 33.91/8.68 | Applying alpha-rule on (721) yields:
% 33.91/8.68 | (722) organization(all_4_10_11) = all_243_1_143
% 33.91/8.68 | (723) has_endowment(all_4_10_11) = all_243_0_142
% 33.91/8.68 | (724) ~ (all_243_1_143 = 0) | all_243_0_142 = 0
% 33.91/8.68 |
% 33.91/8.68 | Instantiating formula (5) with all_4_10_11, all_243_1_143, 0 and discharging atoms organization(all_4_10_11) = all_243_1_143, organization(all_4_10_11) = 0, yields:
% 33.91/8.68 | (725) all_243_1_143 = 0
% 33.91/8.68 |
% 33.91/8.68 | Instantiating formula (1) with all_4_10_11, all_243_0_142, all_4_6_7 and discharging atoms has_endowment(all_4_10_11) = all_243_0_142, has_endowment(all_4_10_11) = all_4_6_7, yields:
% 33.91/8.68 | (726) all_243_0_142 = all_4_6_7
% 33.91/8.68 |
% 33.91/8.68 +-Applying beta-rule and splitting (724), into two cases.
% 33.91/8.68 |-Branch one:
% 33.91/8.68 | (727) ~ (all_243_1_143 = 0)
% 33.91/8.68 |
% 33.91/8.68 | Equations (725) can reduce 727 to:
% 33.91/8.68 | (209) $false
% 33.91/8.68 |
% 33.91/8.68 |-The branch is then unsatisfiable
% 33.91/8.68 |-Branch two:
% 33.91/8.68 | (725) all_243_1_143 = 0
% 33.91/8.68 | (730) all_243_0_142 = 0
% 33.91/8.68 |
% 33.91/8.68 | Combining equations (730,726) yields a new equation:
% 33.91/8.68 | (667) all_4_6_7 = 0
% 33.91/8.68 |
% 33.91/8.68 | Equations (667) can reduce 71 to:
% 33.91/8.68 | (209) $false
% 33.91/8.68 |
% 33.91/8.68 |-The branch is then unsatisfiable
% 33.91/8.68 |-Branch two:
% 33.91/8.68 | (733) positional_advantage(all_4_10_11, all_4_9_10) = all_51_0_52
% 33.91/8.68 | (734) all_51_0_52 = all_49_0_50
% 33.91/8.68 |
% 33.91/8.68 | Combining equations (734,165) yields a new equation:
% 33.91/8.68 | (735) all_49_0_50 = all_23_0_23
% 33.91/8.68 |
% 33.91/8.68 | Simplifying 735 yields:
% 33.91/8.68 | (736) all_49_0_50 = all_23_0_23
% 33.91/8.68 |
% 33.91/8.68 | Combining equations (363,736) yields a new equation:
% 33.91/8.68 | (617) all_23_0_23 = 0
% 33.91/8.68 |
% 33.91/8.69 | Equations (617) can reduce 232 to:
% 33.91/8.69 | (209) $false
% 33.91/8.69 |
% 33.91/8.69 |-The branch is then unsatisfiable
% 33.91/8.69 |-Branch two:
% 33.91/8.69 | (739) ~ (all_25_0_27 = 0)
% 33.91/8.69 | (740) ? [v0] : ? [v1] : ( ~ (v1 = 0) & age(all_4_10_11, all_4_9_10) = v0 & smaller_or_equal(v0, sigma) = v1)
% 33.91/8.69 |
% 33.91/8.69 +-Applying beta-rule and splitting (139), into two cases.
% 33.91/8.69 |-Branch one:
% 33.91/8.69 | (741) ~ (all_41_1_43 = 0)
% 33.91/8.69 |
% 33.91/8.69 | Equations (361) can reduce 741 to:
% 33.91/8.69 | (209) $false
% 33.91/8.69 |
% 33.91/8.69 |-The branch is then unsatisfiable
% 33.91/8.69 |-Branch two:
% 33.91/8.69 | (361) all_41_1_43 = 0
% 33.91/8.69 | (744) all_41_0_42 = 0
% 33.91/8.69 |
% 33.91/8.69 | Combining equations (744,188) yields a new equation:
% 33.91/8.69 | (362) all_25_0_27 = 0
% 33.91/8.69 |
% 33.91/8.69 | Equations (362) can reduce 739 to:
% 33.91/8.69 | (209) $false
% 33.91/8.69 |
% 33.91/8.69 |-The branch is then unsatisfiable
% 33.91/8.69 |-Branch two:
% 33.91/8.69 | (741) ~ (all_41_1_43 = 0)
% 33.91/8.69 | (748) ~ (sigma = zero) & ? [v0] : ( ~ (v0 = 0) & smaller(zero, sigma) = v0)
% 33.91/8.69 |
% 33.91/8.69 +-Applying beta-rule and splitting (183), into two cases.
% 33.91/8.69 |-Branch one:
% 33.91/8.69 | (749) ~ (smaller_or_equal(zero, sigma) = all_43_1_45)
% 33.91/8.69 |
% 33.91/8.69 | From (182) and (749) follows:
% 33.91/8.69 | (750) ~ (smaller_or_equal(zero, sigma) = 0)
% 33.91/8.69 |
% 33.91/8.69 | Using (271) and (750) yields:
% 33.91/8.69 | (161) $false
% 33.91/8.69 |
% 33.91/8.69 |-The branch is then unsatisfiable
% 33.91/8.69 |-Branch two:
% 33.91/8.69 | (752) smaller_or_equal(zero, sigma) = all_43_1_45
% 33.91/8.69 | (753) all_43_1_45 = all_41_1_43
% 33.91/8.69 |
% 33.91/8.69 | Combining equations (753,182) yields a new equation:
% 33.91/8.69 | (754) all_41_1_43 = 0
% 33.91/8.69 |
% 33.91/8.69 | Simplifying 754 yields:
% 33.91/8.69 | (361) all_41_1_43 = 0
% 33.91/8.69 |
% 33.91/8.69 | Equations (361) can reduce 741 to:
% 33.91/8.69 | (209) $false
% 33.91/8.69 |
% 33.91/8.69 |-The branch is then unsatisfiable
% 33.91/8.69 |-Branch two:
% 33.91/8.69 | (671) all_21_0_20 = 0
% 33.91/8.69 | (758) all_21_1_21 = 0
% 33.91/8.69 |
% 33.91/8.69 | Equations (758) can reduce 237 to:
% 33.91/8.69 | (209) $false
% 33.91/8.69 |
% 33.91/8.69 |-The branch is then unsatisfiable
% 33.91/8.69 |-Branch two:
% 33.91/8.69 | (760) all_51_0_52 = 0
% 33.91/8.69 | (761) ~ (all_51_1_53 = 0)
% 34.19/8.69 |
% 34.19/8.69 | Equations (179) can reduce 761 to:
% 34.19/8.69 | (209) $false
% 34.19/8.69 |
% 34.19/8.69 |-The branch is then unsatisfiable
% 34.19/8.69 % SZS output end Proof for theBenchmark
% 34.19/8.69
% 34.19/8.69 8085ms
%------------------------------------------------------------------------------