TSTP Solution File: MGT044+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT044+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:07:09 EDT 2022
% Result : Theorem 6.29s 2.10s
% Output : Proof 8.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT044+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n025.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 11:30:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.59 ____ _
% 0.20/0.59 ___ / __ \_____(_)___ ________ __________
% 0.20/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.20/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.20/0.59
% 0.20/0.59 A Theorem Prover for First-Order Logic
% 0.20/0.59 (ePrincess v.1.0)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2015
% 0.20/0.60 (c) Peter Backeman, 2014-2015
% 0.20/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.60 Bug reports to peter@backeman.se
% 0.20/0.60
% 0.20/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.60
% 0.61/0.60 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
% 1.57/0.97 Prover 0: Preprocessing ...
% 2.32/1.20 Prover 0: Warning: ignoring some quantifiers
% 2.38/1.22 Prover 0: Constructing countermodel ...
% 4.20/1.64 Prover 0: gave up
% 4.20/1.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.20/1.68 Prover 1: Preprocessing ...
% 4.51/1.78 Prover 1: Constructing countermodel ...
% 5.15/1.87 Prover 1: gave up
% 5.15/1.87 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 5.15/1.89 Prover 2: Preprocessing ...
% 5.81/1.99 Prover 2: Warning: ignoring some quantifiers
% 5.81/2.00 Prover 2: Constructing countermodel ...
% 6.29/2.10 Prover 2: proved (230ms)
% 6.29/2.10
% 6.29/2.10 No countermodel exists, formula is valid
% 6.29/2.10 % SZS status Theorem for theBenchmark
% 6.29/2.10
% 6.29/2.10 Generating proof ... Warning: ignoring some quantifiers
% 7.74/2.49 found it (size 46)
% 7.74/2.49
% 7.74/2.49 % SZS output start Proof for theBenchmark
% 7.74/2.49 Assumed formulas after preprocessing and simplification:
% 7.74/2.49 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = 0) & age(v0, v2) = v3 & age(v0, v1) = v4 & organization(v0) = 0 & capability(v0, v2) = v5 & capability(v0, v1) = v6 & greater(v5, v6) = v7 & greater(v3, v4) = 0 & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (stock_of_knowledge(v8, v10) = v11) | ~ (stock_of_knowledge(v8, v9) = v12) | ~ (greater(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (( ~ (v16 = 0) & age(v8, v10) = v14 & age(v8, v9) = v15 & greater(v14, v15) = v16) | ( ~ (v14 = 0) & organization(v8) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (internal_friction(v8, v10) = v11) | ~ (internal_friction(v8, v9) = v12) | ~ (greater(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (( ~ (v14 = 0) & organization(v8) = v14) | (( ~ (v13 = 0) | (v20 = 0 & capability(v8, v10) = v18 & capability(v8, v9) = v19 & smaller(v18, v19) = 0) | ( ~ (v20 = 0) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15 & smaller_or_equal(v14, v15) = v20)) & ( ~ (v12 = v11) | (v19 = v18 & capability(v8, v10) = v18 & capability(v8, v9) = v18) | ( ~ (v15 = v14) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15)) & ((v21 = 0 & capability(v8, v10) = v18 & capability(v8, v9) = v19 & greater(v18, v19) = 0) | ( ~ (v17 = 0) & smaller_or_equal(v11, v12) = v17) | ( ~ (v16 = 0) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15 & greater(v14, v15) = v16))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (internal_friction(v8, v10) = v11) | ~ (internal_friction(v8, v9) = v12) | ~ (smaller_or_equal(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (( ~ (v14 = 0) & organization(v8) = v14) | (( ~ (v13 = 0) | (v20 = 0 & capability(v8, v10) = v17 & capability(v8, v9) = v18 & greater(v17, v18) = 0) | ( ~ (v16 = 0) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15 & greater(v14, v15) = v16)) & ( ~ (v12 = v11) | (v18 = v17 & capability(v8, v10) = v17 & capability(v8, v9) = v17) | ( ~ (v15 = v14) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15)) & ((v19 = 0 & capability(v8, v10) = v17 & capability(v8, v9) = v18 & smaller(v17, v18) = 0) | ( ~ (v19 = 0) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15 & smaller_or_equal(v14, v15) = v19) | ( ~ (v19 = 0) & greater(v11, v12) = v19))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (stock_of_knowledge(v8, v10) = v11) | ~ (stock_of_knowledge(v8, v9) = v12) | ~ (greater(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (( ~ (v14 = 0) & organization(v8) = v14) | (( ~ (v13 = 0) | (v20 = 0 & capability(v8, v10) = v17 & capability(v8, v9) = v18 & greater(v17, v18) = 0) | ( ~ (v16 = 0) & internal_friction(v8, v10) = v14 & internal_friction(v8, v9) = v15 & smaller_or_equal(v14, v15) = v16)) & ( ~ (v12 = v11) | (v18 = v17 & capability(v8, v10) = v17 & capability(v8, v9) = v17) | ( ~ (v15 = v14) & internal_friction(v8, v10) = v14 & internal_friction(v8, v9) = v15)) & ((v19 = 0 & capability(v8, v10) = v17 & capability(v8, v9) = v18 & smaller(v17, v18) = 0) | ( ~ (v19 = 0) & internal_friction(v8, v10) = v14 & internal_friction(v8, v9) = v15 & greater(v14, v15) = v19) | ( ~ (v19 = 0) & smaller_or_equal(v11, v12) = v19))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (stock_of_knowledge(v8, v10) = v11) | ~ (stock_of_knowledge(v8, v9) = v12) | ~ (smaller_or_equal(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (( ~ (v14 = 0) & organization(v8) = v14) | (( ~ (v13 = 0) | (v20 = 0 & capability(v8, v10) = v18 & capability(v8, v9) = v19 & smaller(v18, v19) = 0) | ( ~ (v20 = 0) & internal_friction(v8, v10) = v15 & internal_friction(v8, v9) = v16 & greater(v15, v16) = v20)) & ( ~ (v12 = v11) | (v19 = v18 & capability(v8, v10) = v18 & capability(v8, v9) = v18) | ( ~ (v16 = v15) & internal_friction(v8, v10) = v15 & internal_friction(v8, v9) = v16)) & ((v21 = 0 & capability(v8, v10) = v18 & capability(v8, v9) = v19 & greater(v18, v19) = 0) | ( ~ (v17 = 0) & internal_friction(v8, v10) = v15 & internal_friction(v8, v9) = v16 & smaller_or_equal(v15, v16) = v17) | ( ~ (v14 = 0) & greater(v11, v12) = v14))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (capability(v8, v10) = v11) | ~ (capability(v8, v9) = v12) | ~ (greater(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (( ~ (v14 = 0) & organization(v8) = v14) | ((v13 = 0 | ( ~ (v20 = 0) & internal_friction(v8, v10) = v17 & internal_friction(v8, v9) = v18 & smaller_or_equal(v17, v18) = v20) | ( ~ (v16 = 0) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15 & greater(v14, v15) = v16)) & (v12 = v11 | ( ~ (v18 = v17) & internal_friction(v8, v10) = v17 & internal_friction(v8, v9) = v18) | ( ~ (v15 = v14) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15)) & ((v19 = 0 & smaller(v11, v12) = 0) | ( ~ (v19 = 0) & internal_friction(v8, v10) = v17 & internal_friction(v8, v9) = v18 & greater(v17, v18) = v19) | ( ~ (v19 = 0) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15 & smaller_or_equal(v14, v15) = v19))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (capability(v8, v10) = v11) | ~ (capability(v8, v9) = v12) | ~ (smaller(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (( ~ (v14 = 0) & organization(v8) = v14) | ((v13 = 0 | ( ~ (v19 = 0) & internal_friction(v8, v10) = v17 & internal_friction(v8, v9) = v18 & greater(v17, v18) = v19) | ( ~ (v19 = 0) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15 & smaller_or_equal(v14, v15) = v19)) & (v12 = v11 | ( ~ (v18 = v17) & internal_friction(v8, v10) = v17 & internal_friction(v8, v9) = v18) | ( ~ (v15 = v14) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15)) & ((v20 = 0 & greater(v11, v12) = 0) | ( ~ (v20 = 0) & internal_friction(v8, v10) = v17 & internal_friction(v8, v9) = v18 & smaller_or_equal(v17, v18) = v20) | ( ~ (v16 = 0) & stock_of_knowledge(v8, v10) = v14 & stock_of_knowledge(v8, v9) = v15 & greater(v14, v15) = v16))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (internal_friction(v8, v10) = v11) | ~ (internal_friction(v8, v9) = v12) | ? [v13] : ( ~ (v13 = 0) & organization(v8) = v13)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (age(v8, v10) = v11) | ~ (age(v8, v9) = v12) | ~ (greater(v11, v12) = 0) | ? [v13] : ? [v14] : ? [v15] : ((v15 = 0 & stock_of_knowledge(v8, v10) = v13 & stock_of_knowledge(v8, v9) = v14 & greater(v13, v14) = 0) | ( ~ (v13 = 0) & organization(v8) = v13))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (greater(v9, v10) = 0) | ~ (greater(v8, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & greater(v8, v9) = v12)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (greater(v8, v10) = v11) | ~ (greater(v8, v9) = 0) | ? [v12] : ( ~ (v12 = 0) & greater(v9, v10) = v12)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (age(v11, v10) = v9) | ~ (age(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (internal_friction(v11, v10) = v9) | ~ (internal_friction(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (stock_of_knowledge(v11, v10) = v9) | ~ (stock_of_knowledge(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (capability(v11, v10) = v9) | ~ (capability(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (greater(v11, v10) = v9) | ~ (greater(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (greater_or_equal(v11, v10) = v9) | ~ (greater_or_equal(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (smaller(v11, v10) = v9) | ~ (smaller(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (smaller_or_equal(v11, v10) = v9) | ~ (smaller_or_equal(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = v8 | ~ (greater(v8, v9) = v10) | smaller(v8, v9) = 0) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = v8 | ~ (greater(v8, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & greater_or_equal(v8, v9) = v11)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = v8 | ~ (smaller(v8, v9) = v10) | greater(v8, v9) = 0) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = v8 | ~ (smaller(v8, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & smaller_or_equal(v8, v9) = v11)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (greater(v9, v8) = v10) | ? [v11] : ( ~ (v11 = 0) & smaller(v8, v9) = v11)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (greater_or_equal(v8, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & greater(v8, v9) = v11)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (smaller(v8, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & greater(v9, v8) = v11)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (smaller_or_equal(v8, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & smaller(v8, v9) = v11)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (organization(v10) = v9) | ~ (organization(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (greater(v9, v10) = 0) | ~ (greater(v8, v9) = 0) | greater(v8, v10) = 0) & ! [v8] : ! [v9] : (v9 = v8 | ~ (greater_or_equal(v8, v9) = 0) | greater(v8, v9) = 0) & ! [v8] : ! [v9] : (v9 = v8 | ~ (smaller_or_equal(v8, v9) = 0) | smaller(v8, v9) = 0) & ! [v8] : ! [v9] : (v9 = 0 | ~ (greater_or_equal(v8, v8) = v9)) & ! [v8] : ! [v9] : (v9 = 0 | ~ (smaller_or_equal(v8, v8) = v9)) & ! [v8] : ! [v9] : ( ~ (greater(v9, v8) = 0) | smaller(v8, v9) = 0) & ! [v8] : ! [v9] : ( ~ (greater(v9, v8) = 0) | ? [v10] : ( ~ (v10 = 0) & greater(v8, v9) = v10)) & ! [v8] : ! [v9] : ( ~ (greater(v8, v9) = 0) | greater_or_equal(v8, v9) = 0) & ! [v8] : ! [v9] : ( ~ (greater(v8, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & greater(v9, v8) = v10)) & ! [v8] : ! [v9] : ( ~ (greater(v8, v8) = v9) | greater_or_equal(v8, v8) = 0) & ! [v8] : ! [v9] : ( ~ (smaller(v8, v9) = 0) | greater(v9, v8) = 0) & ! [v8] : ! [v9] : ( ~ (smaller(v8, v9) = 0) | smaller_or_equal(v8, v9) = 0) & ! [v8] : ! [v9] : ( ~ (smaller(v8, v8) = v9) | smaller_or_equal(v8, v8) = 0) & ? [v8] : ? [v9] : ? [v10] : age(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : internal_friction(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : stock_of_knowledge(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : capability(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : greater(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : greater_or_equal(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : smaller(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : smaller_or_equal(v9, v8) = v10 & ? [v8] : ? [v9] : organization(v8) = v9)
% 8.17/2.54 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 yields:
% 8.17/2.54 | (1) ~ (all_0_0_0 = 0) & age(all_0_7_7, all_0_5_5) = all_0_4_4 & age(all_0_7_7, all_0_6_6) = all_0_3_3 & organization(all_0_7_7) = 0 & capability(all_0_7_7, all_0_5_5) = all_0_2_2 & capability(all_0_7_7, all_0_6_6) = all_0_1_1 & greater(all_0_2_2, all_0_1_1) = all_0_0_0 & greater(all_0_4_4, all_0_3_3) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v8 = 0) & age(v0, v2) = v6 & age(v0, v1) = v7 & greater(v6, v7) = v8) | ( ~ (v6 = 0) & organization(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0) | ( ~ (v12 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v12)) & ( ~ (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v13 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, v11) = 0) | ( ~ (v9 = 0) & smaller_or_equal(v3, v4) = v9) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9, v10) = 0) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)) & ( ~ (v4 = v3) | (v10 = v9 & capability(v0, v2) = v9 & capability(v0, v1) = v9) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v11 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & smaller(v9, v10) = 0) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11) | ( ~ (v11 = 0) & greater(v3, v4) = v11))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9, v10) = 0) | ( ~ (v8 = 0) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7 & smaller_or_equal(v6, v7) = v8)) & ( ~ (v4 = v3) | (v10 = v9 & capability(v0, v2) = v9 & capability(v0, v1) = v9) | ( ~ (v7 = v6) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7)) & ((v11 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & smaller(v9, v10) = 0) | ( ~ (v11 = 0) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7 & greater(v6, v7) = v11) | ( ~ (v11 = 0) & smaller_or_equal(v3, v4) = v11))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & greater(v7, v8) = v12)) & ( ~ (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10) | ( ~ (v8 = v7) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8)) & ((v13 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, v11) = 0) | ( ~ (v9 = 0) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & smaller_or_equal(v7, v8) = v9) | ( ~ (v6 = 0) & greater(v3, v4) = v6))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v12 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & smaller_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)) & (v4 = v3 | ( ~ (v10 = v9) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v11 = 0 & smaller(v3, v4) = 0) | ( ~ (v11 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v11 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11)) & (v4 = v3 | ( ~ (v10 = v9) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v12 = 0 & greater(v3, v4) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & smaller_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & organization(v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & stock_of_knowledge(v0, v2) = v5 & stock_of_knowledge(v0, v1) = v6 & greater(v5, v6) = 0) | ( ~ (v5 = 0) & organization(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = 0) | ~ (greater(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (age(v3, v2) = v1) | ~ (age(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (internal_friction(v3, v2) = v1) | ~ (internal_friction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (stock_of_knowledge(v3, v2) = v1) | ~ (stock_of_knowledge(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | smaller(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | greater(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller_or_equal(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0) & ! [v0] : ! [v1] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0) & ! [v0] : ! [v1] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | smaller(v0, v1) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (greater_or_equal(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (smaller_or_equal(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | smaller(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | greater_or_equal(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (greater(v0, v0) = v1) | greater_or_equal(v0, v0) = 0) & ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | greater(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | smaller_or_equal(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (smaller(v0, v0) = v1) | smaller_or_equal(v0, v0) = 0) & ? [v0] : ? [v1] : ? [v2] : age(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : internal_friction(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : stock_of_knowledge(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : capability(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : greater(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : greater_or_equal(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : smaller(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : smaller_or_equal(v1, v0) = v2 & ? [v0] : ? [v1] : organization(v0) = v1
% 8.17/2.56 |
% 8.17/2.56 | Applying alpha-rule on (1) yields:
% 8.17/2.56 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v11 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11)) & (v4 = v3 | ( ~ (v10 = v9) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v12 = 0 & greater(v3, v4) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & smaller_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)))))
% 8.17/2.57 | (3) ? [v0] : ? [v1] : ? [v2] : greater(v1, v0) = v2
% 8.17/2.57 | (4) ! [v0] : ! [v1] : ( ~ (smaller(v0, v0) = v1) | smaller_or_equal(v0, v0) = 0)
% 8.17/2.57 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (internal_friction(v3, v2) = v1) | ~ (internal_friction(v3, v2) = v0))
% 8.17/2.57 | (6) ? [v0] : ? [v1] : ? [v2] : internal_friction(v1, v0) = v2
% 8.17/2.57 | (7) ! [v0] : ! [v1] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | smaller(v0, v1) = 0)
% 8.17/2.57 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v1, v2) = 0) | ~ (greater(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4))
% 8.17/2.57 | (9) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller_or_equal(v0, v1) = v3))
% 8.17/2.57 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 8.17/2.57 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0))
% 8.17/2.57 | (12) greater(all_0_2_2, all_0_1_1) = all_0_0_0
% 8.17/2.57 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (age(v3, v2) = v1) | ~ (age(v3, v2) = v0))
% 8.17/2.57 | (14) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | greater_or_equal(v0, v1) = 0)
% 8.17/2.57 | (15) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 8.17/2.57 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0))
% 8.17/2.57 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v12 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & smaller_or_equal(v9, v10) = v12) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)) & (v4 = v3 | ( ~ (v10 = v9) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v11 = 0 & smaller(v3, v4) = 0) | ( ~ (v11 = 0) & internal_friction(v0, v2) = v9 & internal_friction(v0, v1) = v10 & greater(v9, v10) = v11) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11)))))
% 8.17/2.57 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))
% 8.17/2.57 | (19) ! [v0] : ! [v1] : (v1 = 0 | ~ (smaller_or_equal(v0, v0) = v1))
% 8.17/2.57 | (20) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, v1) = v2) | greater(v0, v1) = 0)
% 8.17/2.57 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | smaller(v0, v1) = 0)
% 8.17/2.57 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & organization(v0) = v5))
% 8.17/2.57 | (23) ! [v0] : ! [v1] : ( ~ (greater(v0, v0) = v1) | greater_or_equal(v0, v0) = 0)
% 8.17/2.57 | (24) ? [v0] : ? [v1] : ? [v2] : age(v1, v0) = v2
% 8.17/2.57 | (25) ~ (all_0_0_0 = 0)
% 8.17/2.57 | (26) ! [v0] : ! [v1] : (v1 = 0 | ~ (greater_or_equal(v0, v0) = v1))
% 8.17/2.57 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (stock_of_knowledge(v3, v2) = v1) | ~ (stock_of_knowledge(v3, v2) = v0))
% 8.17/2.57 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0))
% 8.17/2.57 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0))
% 8.17/2.57 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9, v10) = 0) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)) & ( ~ (v4 = v3) | (v10 = v9 & capability(v0, v2) = v9 & capability(v0, v1) = v9) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v11 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & smaller(v9, v10) = 0) | ( ~ (v11 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v11) | ( ~ (v11 = 0) & greater(v3, v4) = v11)))))
% 8.17/2.58 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9, v10) = 0) | ( ~ (v8 = 0) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7 & smaller_or_equal(v6, v7) = v8)) & ( ~ (v4 = v3) | (v10 = v9 & capability(v0, v2) = v9 & capability(v0, v1) = v9) | ( ~ (v7 = v6) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7)) & ((v11 = 0 & capability(v0, v2) = v9 & capability(v0, v1) = v10 & smaller(v9, v10) = 0) | ( ~ (v11 = 0) & internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = v7 & greater(v6, v7) = v11) | ( ~ (v11 = 0) & smaller_or_equal(v3, v4) = v11)))))
% 8.17/2.58 | (32) ? [v0] : ? [v1] : ? [v2] : greater_or_equal(v1, v0) = v2
% 8.17/2.58 | (33) ! [v0] : ! [v1] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0)
% 8.17/2.58 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v8 = 0) & age(v0, v2) = v6 & age(v0, v1) = v7 & greater(v6, v7) = v8) | ( ~ (v6 = 0) & organization(v0) = v6)))
% 8.17/2.58 | (35) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (greater(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3))
% 8.17/2.58 | (36) ? [v0] : ? [v1] : ? [v2] : capability(v1, v0) = v2
% 8.17/2.58 | (37) ? [v0] : ? [v1] : ? [v2] : stock_of_knowledge(v1, v0) = v2
% 8.17/2.58 | (38) ? [v0] : ? [v1] : ? [v2] : smaller_or_equal(v1, v0) = v2
% 8.17/2.58 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3))
% 8.17/2.58 | (40) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | greater(v1, v0) = 0)
% 8.17/2.58 | (41) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | smaller(v0, v1) = 0)
% 8.17/2.58 | (42) ? [v0] : ? [v1] : organization(v0) = v1
% 8.17/2.58 | (43) capability(all_0_7_7, all_0_6_6) = all_0_1_1
% 8.17/2.58 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (greater(v1, v2) = 0) | ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0)
% 8.17/2.59 | (45) ? [v0] : ? [v1] : ? [v2] : smaller(v1, v0) = v2
% 8.17/2.59 | (46) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (greater(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))
% 8.17/2.59 | (47) ! [v0] : ! [v1] : ( ~ (greater(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2))
% 8.17/2.59 | (48) age(all_0_7_7, all_0_5_5) = all_0_4_4
% 8.17/2.59 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & stock_of_knowledge(v0, v2) = v5 & stock_of_knowledge(v0, v1) = v6 & greater(v5, v6) = 0) | ( ~ (v5 = 0) & organization(v0) = v5)))
% 8.17/2.59 | (50) capability(all_0_7_7, all_0_5_5) = all_0_2_2
% 8.17/2.59 | (51) greater(all_0_4_4, all_0_3_3) = 0
% 8.17/2.59 | (52) ! [v0] : ! [v1] : ( ~ (smaller(v0, v1) = 0) | smaller_or_equal(v0, v1) = 0)
% 8.17/2.59 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0) | ( ~ (v12 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & smaller_or_equal(v6, v7) = v12)) & ( ~ (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10) | ( ~ (v7 = v6) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7)) & ((v13 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, v11) = 0) | ( ~ (v9 = 0) & smaller_or_equal(v3, v4) = v9) | ( ~ (v8 = 0) & stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = v8)))))
% 8.17/2.59 | (54) age(all_0_7_7, all_0_6_6) = all_0_3_3
% 8.17/2.59 | (55) ! [v0] : ! [v1] : ( ~ (greater(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & greater(v1, v0) = v2))
% 8.17/2.59 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & greater(v7, v8) = v12)) & ( ~ (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10) | ( ~ (v8 = v7) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8)) & ((v13 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, v11) = 0) | ( ~ (v9 = 0) & internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & smaller_or_equal(v7, v8) = v9) | ( ~ (v6 = 0) & greater(v3, v4) = v6)))))
% 8.17/2.59 | (57) organization(all_0_7_7) = 0
% 8.17/2.59 | (58) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (smaller(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3))
% 8.17/2.59 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0))
% 8.17/2.59 |
% 8.17/2.59 | Instantiating formula (46) with all_0_0_0, all_0_2_2, all_0_1_1 and discharging atoms greater(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 8.17/2.59 | (60) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = 0) & smaller(all_0_1_1, all_0_2_2) = v0)
% 8.17/2.59 |
% 8.17/2.59 | Instantiating formula (49) with all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms age(all_0_7_7, all_0_5_5) = all_0_4_4, age(all_0_7_7, all_0_6_6) = all_0_3_3, greater(all_0_4_4, all_0_3_3) = 0, yields:
% 8.17/2.59 | (61) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & stock_of_knowledge(all_0_7_7, all_0_5_5) = v0 & stock_of_knowledge(all_0_7_7, all_0_6_6) = v1 & greater(v0, v1) = 0) | ( ~ (v0 = 0) & organization(all_0_7_7) = v0))
% 8.17/2.59 |
% 8.17/2.59 | Instantiating (61) with all_30_0_42, all_30_1_43, all_30_2_44 yields:
% 8.17/2.59 | (62) (all_30_0_42 = 0 & stock_of_knowledge(all_0_7_7, all_0_5_5) = all_30_2_44 & stock_of_knowledge(all_0_7_7, all_0_6_6) = all_30_1_43 & greater(all_30_2_44, all_30_1_43) = 0) | ( ~ (all_30_2_44 = 0) & organization(all_0_7_7) = all_30_2_44)
% 8.17/2.59 |
% 8.17/2.59 +-Applying beta-rule and splitting (62), into two cases.
% 8.17/2.59 |-Branch one:
% 8.56/2.59 | (63) all_30_0_42 = 0 & stock_of_knowledge(all_0_7_7, all_0_5_5) = all_30_2_44 & stock_of_knowledge(all_0_7_7, all_0_6_6) = all_30_1_43 & greater(all_30_2_44, all_30_1_43) = 0
% 8.56/2.59 |
% 8.56/2.59 | Applying alpha-rule on (63) yields:
% 8.56/2.59 | (64) all_30_0_42 = 0
% 8.56/2.59 | (65) stock_of_knowledge(all_0_7_7, all_0_5_5) = all_30_2_44
% 8.56/2.59 | (66) stock_of_knowledge(all_0_7_7, all_0_6_6) = all_30_1_43
% 8.56/2.59 | (67) greater(all_30_2_44, all_30_1_43) = 0
% 8.56/2.59 |
% 8.56/2.59 +-Applying beta-rule and splitting (60), into two cases.
% 8.56/2.59 |-Branch one:
% 8.56/2.59 | (68) all_0_0_0 = 0
% 8.56/2.59 |
% 8.56/2.59 | Equations (68) can reduce 25 to:
% 8.56/2.59 | (69) $false
% 8.56/2.59 |
% 8.56/2.59 |-The branch is then unsatisfiable
% 8.56/2.59 |-Branch two:
% 8.56/2.59 | (25) ~ (all_0_0_0 = 0)
% 8.56/2.59 | (71) ? [v0] : ( ~ (v0 = 0) & smaller(all_0_1_1, all_0_2_2) = v0)
% 8.56/2.59 |
% 8.56/2.59 | Instantiating formula (31) with 0, all_30_1_43, all_30_2_44, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms stock_of_knowledge(all_0_7_7, all_0_5_5) = all_30_2_44, stock_of_knowledge(all_0_7_7, all_0_6_6) = all_30_1_43, greater(all_30_2_44, all_30_1_43) = 0, yields:
% 8.56/2.60 | (72) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v0 = 0) & organization(all_0_7_7) = v0) | (( ~ (all_30_1_43 = all_30_2_44) | (v4 = v3 & capability(all_0_7_7, all_0_5_5) = v3 & capability(all_0_7_7, all_0_6_6) = v3) | ( ~ (v1 = v0) & internal_friction(all_0_7_7, all_0_5_5) = v0 & internal_friction(all_0_7_7, all_0_6_6) = v1)) & ((v6 = 0 & capability(all_0_7_7, all_0_5_5) = v3 & capability(all_0_7_7, all_0_6_6) = v4 & greater(v3, v4) = 0) | ( ~ (v2 = 0) & internal_friction(all_0_7_7, all_0_5_5) = v0 & internal_friction(all_0_7_7, all_0_6_6) = v1 & smaller_or_equal(v0, v1) = v2)) & ((v5 = 0 & capability(all_0_7_7, all_0_5_5) = v3 & capability(all_0_7_7, all_0_6_6) = v4 & smaller(v3, v4) = 0) | ( ~ (v5 = 0) & internal_friction(all_0_7_7, all_0_5_5) = v0 & internal_friction(all_0_7_7, all_0_6_6) = v1 & greater(v0, v1) = v5) | ( ~ (v5 = 0) & smaller_or_equal(all_30_2_44, all_30_1_43) = v5))))
% 8.56/2.60 |
% 8.56/2.60 | Instantiating (72) with all_50_0_54, all_50_1_55, all_50_2_56, all_50_3_57, all_50_4_58, all_50_5_59, all_50_6_60 yields:
% 8.56/2.60 | (73) ( ~ (all_50_6_60 = 0) & organization(all_0_7_7) = all_50_6_60) | (( ~ (all_30_1_43 = all_30_2_44) | (all_50_2_56 = all_50_3_57 & capability(all_0_7_7, all_0_5_5) = all_50_3_57 & capability(all_0_7_7, all_0_6_6) = all_50_3_57) | ( ~ (all_50_5_59 = all_50_6_60) & internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60 & internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59)) & ((all_50_0_54 = 0 & capability(all_0_7_7, all_0_5_5) = all_50_3_57 & capability(all_0_7_7, all_0_6_6) = all_50_2_56 & greater(all_50_3_57, all_50_2_56) = 0) | ( ~ (all_50_4_58 = 0) & internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60 & internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59 & smaller_or_equal(all_50_6_60, all_50_5_59) = all_50_4_58)) & ((all_50_1_55 = 0 & capability(all_0_7_7, all_0_5_5) = all_50_3_57 & capability(all_0_7_7, all_0_6_6) = all_50_2_56 & smaller(all_50_3_57, all_50_2_56) = 0) | ( ~ (all_50_1_55 = 0) & internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60 & internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59 & greater(all_50_6_60, all_50_5_59) = all_50_1_55) | ( ~ (all_50_1_55 = 0) & smaller_or_equal(all_30_2_44, all_30_1_43) = all_50_1_55)))
% 8.56/2.60 |
% 8.56/2.60 +-Applying beta-rule and splitting (73), into two cases.
% 8.56/2.60 |-Branch one:
% 8.56/2.60 | (74) ~ (all_50_6_60 = 0) & organization(all_0_7_7) = all_50_6_60
% 8.56/2.60 |
% 8.56/2.60 | Applying alpha-rule on (74) yields:
% 8.56/2.60 | (75) ~ (all_50_6_60 = 0)
% 8.56/2.60 | (76) organization(all_0_7_7) = all_50_6_60
% 8.56/2.60 |
% 8.56/2.60 | Instantiating formula (10) with all_0_7_7, all_50_6_60, 0 and discharging atoms organization(all_0_7_7) = all_50_6_60, organization(all_0_7_7) = 0, yields:
% 8.56/2.60 | (77) all_50_6_60 = 0
% 8.56/2.60 |
% 8.56/2.60 | Equations (77) can reduce 75 to:
% 8.56/2.60 | (69) $false
% 8.56/2.60 |
% 8.56/2.60 |-The branch is then unsatisfiable
% 8.56/2.60 |-Branch two:
% 8.56/2.60 | (79) ( ~ (all_30_1_43 = all_30_2_44) | (all_50_2_56 = all_50_3_57 & capability(all_0_7_7, all_0_5_5) = all_50_3_57 & capability(all_0_7_7, all_0_6_6) = all_50_3_57) | ( ~ (all_50_5_59 = all_50_6_60) & internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60 & internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59)) & ((all_50_0_54 = 0 & capability(all_0_7_7, all_0_5_5) = all_50_3_57 & capability(all_0_7_7, all_0_6_6) = all_50_2_56 & greater(all_50_3_57, all_50_2_56) = 0) | ( ~ (all_50_4_58 = 0) & internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60 & internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59 & smaller_or_equal(all_50_6_60, all_50_5_59) = all_50_4_58)) & ((all_50_1_55 = 0 & capability(all_0_7_7, all_0_5_5) = all_50_3_57 & capability(all_0_7_7, all_0_6_6) = all_50_2_56 & smaller(all_50_3_57, all_50_2_56) = 0) | ( ~ (all_50_1_55 = 0) & internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60 & internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59 & greater(all_50_6_60, all_50_5_59) = all_50_1_55) | ( ~ (all_50_1_55 = 0) & smaller_or_equal(all_30_2_44, all_30_1_43) = all_50_1_55))
% 8.56/2.60 |
% 8.56/2.60 | Applying alpha-rule on (79) yields:
% 8.56/2.60 | (80) ~ (all_30_1_43 = all_30_2_44) | (all_50_2_56 = all_50_3_57 & capability(all_0_7_7, all_0_5_5) = all_50_3_57 & capability(all_0_7_7, all_0_6_6) = all_50_3_57) | ( ~ (all_50_5_59 = all_50_6_60) & internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60 & internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59)
% 8.56/2.60 | (81) (all_50_0_54 = 0 & capability(all_0_7_7, all_0_5_5) = all_50_3_57 & capability(all_0_7_7, all_0_6_6) = all_50_2_56 & greater(all_50_3_57, all_50_2_56) = 0) | ( ~ (all_50_4_58 = 0) & internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60 & internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59 & smaller_or_equal(all_50_6_60, all_50_5_59) = all_50_4_58)
% 8.56/2.60 | (82) (all_50_1_55 = 0 & capability(all_0_7_7, all_0_5_5) = all_50_3_57 & capability(all_0_7_7, all_0_6_6) = all_50_2_56 & smaller(all_50_3_57, all_50_2_56) = 0) | ( ~ (all_50_1_55 = 0) & internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60 & internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59 & greater(all_50_6_60, all_50_5_59) = all_50_1_55) | ( ~ (all_50_1_55 = 0) & smaller_or_equal(all_30_2_44, all_30_1_43) = all_50_1_55)
% 8.56/2.60 |
% 8.56/2.60 +-Applying beta-rule and splitting (81), into two cases.
% 8.56/2.60 |-Branch one:
% 8.56/2.60 | (83) all_50_0_54 = 0 & capability(all_0_7_7, all_0_5_5) = all_50_3_57 & capability(all_0_7_7, all_0_6_6) = all_50_2_56 & greater(all_50_3_57, all_50_2_56) = 0
% 8.56/2.60 |
% 8.56/2.60 | Applying alpha-rule on (83) yields:
% 8.56/2.60 | (84) all_50_0_54 = 0
% 8.56/2.60 | (85) capability(all_0_7_7, all_0_5_5) = all_50_3_57
% 8.56/2.60 | (86) capability(all_0_7_7, all_0_6_6) = all_50_2_56
% 8.56/2.60 | (87) greater(all_50_3_57, all_50_2_56) = 0
% 8.56/2.60 |
% 8.56/2.60 | Instantiating formula (28) with all_0_7_7, all_0_5_5, all_50_3_57, all_0_2_2 and discharging atoms capability(all_0_7_7, all_0_5_5) = all_50_3_57, capability(all_0_7_7, all_0_5_5) = all_0_2_2, yields:
% 8.56/2.60 | (88) all_50_3_57 = all_0_2_2
% 8.56/2.60 |
% 8.56/2.60 | Instantiating formula (28) with all_0_7_7, all_0_6_6, all_50_2_56, all_0_1_1 and discharging atoms capability(all_0_7_7, all_0_6_6) = all_50_2_56, capability(all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 8.56/2.60 | (89) all_50_2_56 = all_0_1_1
% 8.56/2.60 |
% 8.56/2.60 | From (88)(89) and (87) follows:
% 8.56/2.60 | (90) greater(all_0_2_2, all_0_1_1) = 0
% 8.56/2.60 |
% 8.56/2.60 | Instantiating formula (11) with all_0_2_2, all_0_1_1, 0, all_0_0_0 and discharging atoms greater(all_0_2_2, all_0_1_1) = all_0_0_0, greater(all_0_2_2, all_0_1_1) = 0, yields:
% 8.56/2.60 | (68) all_0_0_0 = 0
% 8.56/2.60 |
% 8.56/2.60 | Equations (68) can reduce 25 to:
% 8.56/2.60 | (69) $false
% 8.56/2.60 |
% 8.56/2.60 |-The branch is then unsatisfiable
% 8.56/2.60 |-Branch two:
% 8.56/2.60 | (93) ~ (all_50_4_58 = 0) & internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60 & internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59 & smaller_or_equal(all_50_6_60, all_50_5_59) = all_50_4_58
% 8.56/2.60 |
% 8.56/2.60 | Applying alpha-rule on (93) yields:
% 8.56/2.60 | (94) ~ (all_50_4_58 = 0)
% 8.56/2.60 | (95) internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60
% 8.56/2.60 | (96) internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59
% 8.56/2.60 | (97) smaller_or_equal(all_50_6_60, all_50_5_59) = all_50_4_58
% 8.56/2.60 |
% 8.56/2.60 | Instantiating formula (22) with all_50_6_60, all_50_5_59, all_0_6_6, all_0_5_5, all_0_7_7 and discharging atoms internal_friction(all_0_7_7, all_0_5_5) = all_50_6_60, internal_friction(all_0_7_7, all_0_6_6) = all_50_5_59, yields:
% 8.56/2.60 | (98) all_50_5_59 = all_50_6_60 | ? [v0] : ( ~ (v0 = 0) & organization(all_0_7_7) = v0)
% 8.56/2.60 |
% 8.56/2.60 | Instantiating formula (15) with all_50_4_58, all_50_5_59, all_50_6_60 and discharging atoms smaller_or_equal(all_50_6_60, all_50_5_59) = all_50_4_58, yields:
% 8.56/2.60 | (99) all_50_4_58 = 0 | ? [v0] : ( ~ (v0 = 0) & smaller(all_50_6_60, all_50_5_59) = v0)
% 8.56/2.60 |
% 8.56/2.60 +-Applying beta-rule and splitting (98), into two cases.
% 8.56/2.60 |-Branch one:
% 8.56/2.60 | (100) all_50_5_59 = all_50_6_60
% 8.56/2.60 |
% 8.56/2.60 | From (100) and (97) follows:
% 8.56/2.60 | (101) smaller_or_equal(all_50_6_60, all_50_6_60) = all_50_4_58
% 8.56/2.60 |
% 8.56/2.60 +-Applying beta-rule and splitting (99), into two cases.
% 8.56/2.60 |-Branch one:
% 8.56/2.60 | (102) all_50_4_58 = 0
% 8.56/2.60 |
% 8.56/2.60 | Equations (102) can reduce 94 to:
% 8.56/2.60 | (69) $false
% 8.56/2.60 |
% 8.56/2.60 |-The branch is then unsatisfiable
% 8.56/2.60 |-Branch two:
% 8.56/2.60 | (94) ~ (all_50_4_58 = 0)
% 8.56/2.60 | (105) ? [v0] : ( ~ (v0 = 0) & smaller(all_50_6_60, all_50_5_59) = v0)
% 8.56/2.60 |
% 8.56/2.60 | Instantiating formula (19) with all_50_4_58, all_50_6_60 and discharging atoms smaller_or_equal(all_50_6_60, all_50_6_60) = all_50_4_58, yields:
% 8.56/2.60 | (102) all_50_4_58 = 0
% 8.56/2.60 |
% 8.56/2.61 | Equations (102) can reduce 94 to:
% 8.56/2.61 | (69) $false
% 8.56/2.61 |
% 8.56/2.61 |-The branch is then unsatisfiable
% 8.56/2.61 |-Branch two:
% 8.56/2.61 | (108) ~ (all_50_5_59 = all_50_6_60)
% 8.56/2.61 | (109) ? [v0] : ( ~ (v0 = 0) & organization(all_0_7_7) = v0)
% 8.56/2.61 |
% 8.56/2.61 | Instantiating (109) with all_74_0_80 yields:
% 8.56/2.61 | (110) ~ (all_74_0_80 = 0) & organization(all_0_7_7) = all_74_0_80
% 8.56/2.61 |
% 8.56/2.61 | Applying alpha-rule on (110) yields:
% 8.56/2.61 | (111) ~ (all_74_0_80 = 0)
% 8.56/2.61 | (112) organization(all_0_7_7) = all_74_0_80
% 8.56/2.61 |
% 8.56/2.61 | Instantiating formula (10) with all_0_7_7, all_74_0_80, 0 and discharging atoms organization(all_0_7_7) = all_74_0_80, organization(all_0_7_7) = 0, yields:
% 8.56/2.61 | (113) all_74_0_80 = 0
% 8.56/2.61 |
% 8.56/2.61 | Equations (113) can reduce 111 to:
% 8.56/2.61 | (69) $false
% 8.56/2.61 |
% 8.56/2.61 |-The branch is then unsatisfiable
% 8.56/2.61 |-Branch two:
% 8.56/2.61 | (115) ~ (all_30_2_44 = 0) & organization(all_0_7_7) = all_30_2_44
% 8.56/2.61 |
% 8.56/2.61 | Applying alpha-rule on (115) yields:
% 8.56/2.61 | (116) ~ (all_30_2_44 = 0)
% 8.56/2.61 | (117) organization(all_0_7_7) = all_30_2_44
% 8.56/2.61 |
% 8.56/2.61 | Instantiating formula (10) with all_0_7_7, all_30_2_44, 0 and discharging atoms organization(all_0_7_7) = all_30_2_44, organization(all_0_7_7) = 0, yields:
% 8.56/2.61 | (118) all_30_2_44 = 0
% 8.56/2.61 |
% 8.56/2.61 | Equations (118) can reduce 116 to:
% 8.56/2.61 | (69) $false
% 8.56/2.61 |
% 8.56/2.61 |-The branch is then unsatisfiable
% 8.56/2.61 % SZS output end Proof for theBenchmark
% 8.56/2.61
% 8.56/2.61 1997ms
%------------------------------------------------------------------------------