TSTP Solution File: SEU375+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU375+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n006.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 : Tue Jul 19 08:49:18 EDT 2022
% Result : Theorem 38.77s 10.60s
% Output : Proof 83.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.08 % Problem : SEU375+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.09 % Command : ePrincess-casc -timeout=%d %s
% 0.08/0.28 % Computer : n006.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Mon Jun 20 11:55:25 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.13/0.52 ____ _
% 0.13/0.52 ___ / __ \_____(_)___ ________ __________
% 0.13/0.52 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.13/0.52 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.13/0.52 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.13/0.52
% 0.13/0.52 A Theorem Prover for First-Order Logic
% 0.13/0.52 (ePrincess v.1.0)
% 0.13/0.52
% 0.13/0.52 (c) Philipp Rümmer, 2009-2015
% 0.13/0.52 (c) Peter Backeman, 2014-2015
% 0.13/0.52 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.13/0.52 Free software under GNU Lesser General Public License (LGPL).
% 0.13/0.52 Bug reports to peter@backeman.se
% 0.13/0.52
% 0.13/0.52 For more information, visit http://user.uu.se/~petba168/breu/
% 0.13/0.52
% 0.13/0.52 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.53/0.58 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.60/0.96 Prover 0: Preprocessing ...
% 2.30/1.24 Prover 0: Warning: ignoring some quantifiers
% 2.40/1.27 Prover 0: Constructing countermodel ...
% 19.36/5.88 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.36/5.94 Prover 1: Preprocessing ...
% 20.19/6.11 Prover 1: Warning: ignoring some quantifiers
% 20.19/6.11 Prover 1: Constructing countermodel ...
% 30.22/8.48 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 30.22/8.52 Prover 2: Preprocessing ...
% 31.92/8.92 Prover 2: Warning: ignoring some quantifiers
% 31.92/8.94 Prover 2: Constructing countermodel ...
% 38.77/10.59 Prover 2: proved (1713ms)
% 38.77/10.60 Prover 0: stopped
% 38.77/10.60 Prover 1: stopped
% 38.77/10.60
% 38.77/10.60 No countermodel exists, formula is valid
% 38.77/10.60 % SZS status Theorem for theBenchmark
% 38.77/10.60
% 38.77/10.60 Generating proof ... Warning: ignoring some quantifiers
% 81.65/36.85 found it (size 447)
% 81.65/36.85
% 81.65/36.85 % SZS output start Proof for theBenchmark
% 81.65/36.85 Assumed formulas after preprocessing and simplification:
% 81.65/36.85 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ( ~ (v16 = 0) & ~ (v12 = 0) & ~ (v9 = 0) & ~ (v5 = 0) & ~ (v2 = 0) & related(v4, v7, v8) = v9 & related(v1, v7, v8) = 0 & relation_empty_yielding(v19) = 0 & relation_empty_yielding(v13) = 0 & relation_empty_yielding(v10) = 0 & relation_empty_yielding(empty_set) = 0 & the_carrier(v4) = v6 & the_carrier(v1) = v3 & element(v8, v6) = 0 & element(v8, v3) = 0 & element(v7, v6) = 0 & element(v7, v3) = 0 & one_sorted_str(v21) = 0 & one_sorted_str(v11) = 0 & one_sorted_str(v0) = 0 & net_str(v1, v0) = 0 & subnetstr(v4, v0, v1) = 0 & full_subnetstr(v4, v0, v1) = 0 & one_to_one(v14) = 0 & empty_carrier(v11) = v12 & empty_carrier(v4) = v5 & empty_carrier(v1) = v2 & rel_str(v22) = 0 & relation(v20) = 0 & relation(v19) = 0 & relation(v18) = 0 & relation(v17) = 0 & relation(v15) = 0 & relation(v14) = 0 & relation(v13) = 0 & relation(v10) = 0 & relation(empty_set) = 0 & function(v20) = 0 & function(v19) = 0 & function(v17) = 0 & function(v14) = 0 & function(v10) = 0 & empty(v18) = 0 & empty(v17) = 0 & empty(v15) = v16 & empty(empty_set) = 0 & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (related(v23, v27, v28) = v29) | ~ (the_carrier(v25) = v26) | ~ (the_carrier(v23) = v24) | ~ (element(v30, v26) = 0) | ~ (element(v27, v24) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v24) = v31) | ( ~ (v31 = 0) & full_subrelstr(v25, v23) = v31) | ( ~ (v31 = 0) & subrelstr(v25, v23) = v31) | ( ~ (v31 = 0) & rel_str(v23) = v31) | (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32)))))) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (related(v25, v27, v28) = v29) | ~ (related(v23, v27, v28) = 0) | ~ (the_carrier(v25) = v26) | ~ (the_carrier(v23) = v24) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : (( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v28, v24) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & full_subrelstr(v25, v23) = v30) | ( ~ (v30 = 0) & subrelstr(v25, v23) = v30) | ( ~ (v30 = 0) & rel_str(v23) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (the_carrier(v25) = v26) | ~ (the_carrier(v23) = v24) | ~ (element(v28, v26) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29) | ( ~ (v29 = 0) & full_subrelstr(v25, v23) = v29) | ( ~ (v29 = 0) & subrelstr(v25, v23) = v29) | ( ~ (v29 = 0) & rel_str(v23) = v29) | ( ~ (v29 = 0) & in(v28, v26) = v29))) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (the_carrier(v25) = v26) | ~ (the_carrier(v23) = v24) | ~ (element(v27, v24) = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v26) = v29) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29) | ( ~ (v29 = 0) & full_subrelstr(v25, v23) = v29) | ( ~ (v29 = 0) & subrelstr(v25, v23) = v29) | ( ~ (v29 = 0) & rel_str(v23) = v29))) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (the_carrier(v25) = v26) | ~ (the_carrier(v23) = v24) | ~ (element(v28, v24) = 0) | ~ (element(v27, v24) = 0) | ? [v29] : (( ~ (v29 = 0) & full_subrelstr(v25, v23) = v29) | ( ~ (v29 = 0) & subrelstr(v25, v23) = v29) | ( ~ (v29 = 0) & rel_str(v23) = v29) | (related(v23, v27, v28) = v29 & ! [v30] : ( ~ (v29 = 0) | v30 = 0 | ~ (related(v25, v27, v28) = v30) | ~ (in(v27, v26) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v26) = v31) | ( ~ (v31 = 0) & element(v27, v26) = v31) | ( ~ (v31 = 0) & in(v28, v26) = v31))) & ! [v30] : ( ~ (element(v30, v26) = 0) | ? [v31] : (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32))))) & ( ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ( ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30)))))) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v24 = v23 | ~ (related(v27, v26, v25) = v24) | ~ (related(v27, v26, v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v24 = v23 | ~ (subnetstr(v27, v26, v25) = v24) | ~ (subnetstr(v27, v26, v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v24 = v23 | ~ (full_subnetstr(v27, v26, v25) = v24) | ~ (full_subnetstr(v27, v26, v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = 0 | ~ (net_str(v25, v23) = v26) | ~ (net_str(v24, v23) = 0) | ? [v27] : (( ~ (v27 = 0) & one_sorted_str(v23) = v27) | ( ~ (v27 = 0) & subnetstr(v25, v23, v24) = v27))) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v24 = v23 | ~ (element(v26, v25) = v24) | ~ (element(v26, v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v24 = v23 | ~ (net_str(v26, v25) = v24) | ~ (net_str(v26, v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v24 = v23 | ~ (full_subrelstr(v26, v25) = v24) | ~ (full_subrelstr(v26, v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v24 = v23 | ~ (subrelstr(v26, v25) = v24) | ~ (subrelstr(v26, v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v24 = v23 | ~ (in(v26, v25) = v24) | ~ (in(v26, v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (one_sorted_str(v23) = 0) | ~ (net_str(v24, v23) = 0) | ~ (full_subrelstr(v25, v24) = v26) | ? [v27] : ? [v28] : (( ~ (v27 = 0) & subnetstr(v25, v23, v24) = v27) | (( ~ (v26 = 0) | (v27 = 0 & full_subnetstr(v25, v23, v24) = 0) | ( ~ (v28 = 0) & subrelstr(v25, v24) = v28)) & ((v28 = 0 & v26 = 0 & subrelstr(v25, v24) = 0) | ( ~ (v27 = 0) & full_subnetstr(v25, v23, v24) = v27))))) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (one_sorted_str(v23) = 0) | ~ (net_str(v24, v23) = 0) | ~ (full_subnetstr(v25, v23, v24) = v26) | ? [v27] : ? [v28] : (( ~ (v27 = 0) & subnetstr(v25, v23, v24) = v27) | (( ~ (v26 = 0) | (v28 = 0 & v27 = 0 & full_subrelstr(v25, v24) = 0 & subrelstr(v25, v24) = 0)) & (v26 = 0 | ( ~ (v28 = 0) & subrelstr(v25, v24) = v28) | ( ~ (v27 = 0) & full_subrelstr(v25, v24) = v27))))) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (one_sorted_str(v23) = 0) | ~ (net_str(v24, v23) = 0) | ~ (subrelstr(v25, v24) = v26) | ? [v27] : ? [v28] : (( ~ (v27 = 0) & subnetstr(v25, v23, v24) = v27) | (( ~ (v26 = 0) | (v27 = 0 & full_subnetstr(v25, v23, v24) = 0) | ( ~ (v28 = 0) & full_subrelstr(v25, v24) = v28)) & ((v28 = 0 & v26 = 0 & full_subrelstr(v25, v24) = 0) | ( ~ (v27 = 0) & full_subnetstr(v25, v23, v24) = v27))))) & ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (element(v23, v24) = v25) | ? [v26] : ( ~ (v26 = 0) & in(v23, v24) = v26)) & ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (one_sorted_str(v23) = 0) | ~ (rel_str(v24) = v25) | ? [v26] : ( ~ (v26 = 0) & net_str(v24, v23) = v26)) & ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (rel_str(v24) = v25) | ~ (rel_str(v23) = 0) | ? [v26] : ( ~ (v26 = 0) & subrelstr(v24, v23) = v26)) & ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (in(v23, v24) = v25) | ? [v26] : ((v26 = 0 & empty(v24) = 0) | ( ~ (v26 = 0) & element(v23, v24) = v26))) & ! [v23] : ! [v24] : ! [v25] : (v24 = v23 | ~ (relation_empty_yielding(v25) = v24) | ~ (relation_empty_yielding(v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : (v24 = v23 | ~ (the_carrier(v25) = v24) | ~ (the_carrier(v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : (v24 = v23 | ~ (one_sorted_str(v25) = v24) | ~ (one_sorted_str(v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : (v24 = v23 | ~ (one_to_one(v25) = v24) | ~ (one_to_one(v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : (v24 = v23 | ~ (empty_carrier(v25) = v24) | ~ (empty_carrier(v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : (v24 = v23 | ~ (rel_str(v25) = v24) | ~ (rel_str(v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : (v24 = v23 | ~ (v1_yellow_3(v25) = v24) | ~ (v1_yellow_3(v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : (v24 = v23 | ~ (relation(v25) = v24) | ~ (relation(v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : (v24 = v23 | ~ (function(v25) = v24) | ~ (function(v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : (v24 = v23 | ~ (empty(v25) = v24) | ~ (empty(v25) = v23)) & ! [v23] : ! [v24] : ! [v25] : ( ~ (the_carrier(v23) = v24) | ~ (full_subrelstr(v25, v23) = 0) | ? [v26] : (( ~ (v26 = 0) & subrelstr(v25, v23) = v26) | ( ~ (v26 = 0) & rel_str(v23) = v26) | (the_carrier(v25) = v26 & ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (related(v23, v27, v28) = v29) | ~ (element(v30, v26) = 0) | ~ (element(v27, v24) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v24) = v31) | (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32)))))) & ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (related(v25, v27, v28) = v29) | ~ (related(v23, v27, v28) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : (( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v28, v24) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (element(v28, v26) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29) | ( ~ (v29 = 0) & in(v28, v26) = v29))) & ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v26) = v29) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29))) & ! [v27] : ! [v28] : ( ~ (element(v28, v24) = 0) | ~ (element(v27, v24) = 0) | ? [v29] : (related(v23, v27, v28) = v29 & ! [v30] : ( ~ (v29 = 0) | v30 = 0 | ~ (related(v25, v27, v28) = v30) | ~ (in(v27, v26) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v26) = v31) | ( ~ (v31 = 0) & element(v27, v26) = v31) | ( ~ (v31 = 0) & in(v28, v26) = v31))) & ! [v30] : ( ~ (element(v30, v26) = 0) | ? [v31] : (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32))))) & ( ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ( ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30)))))))) & ! [v23] : ! [v24] : ! [v25] : ( ~ (the_carrier(v23) = v24) | ~ (subrelstr(v25, v23) = 0) | ? [v26] : (( ~ (v26 = 0) & full_subrelstr(v25, v23) = v26) | ( ~ (v26 = 0) & rel_str(v23) = v26) | (the_carrier(v25) = v26 & ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (related(v23, v27, v28) = v29) | ~ (element(v30, v26) = 0) | ~ (element(v27, v24) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v24) = v31) | (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32)))))) & ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (related(v25, v27, v28) = v29) | ~ (related(v23, v27, v28) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : (( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v28, v24) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (element(v28, v26) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29) | ( ~ (v29 = 0) & in(v28, v26) = v29))) & ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v26) = v29) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29))) & ! [v27] : ! [v28] : ( ~ (element(v28, v24) = 0) | ~ (element(v27, v24) = 0) | ? [v29] : (related(v23, v27, v28) = v29 & ! [v30] : ( ~ (v29 = 0) | v30 = 0 | ~ (related(v25, v27, v28) = v30) | ~ (in(v27, v26) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v26) = v31) | ( ~ (v31 = 0) & element(v27, v26) = v31) | ( ~ (v31 = 0) & in(v28, v26) = v31))) & ! [v30] : ( ~ (element(v30, v26) = 0) | ? [v31] : (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32))))) & ( ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ( ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30)))))))) & ! [v23] : ! [v24] : ! [v25] : ( ~ (one_sorted_str(v23) = 0) | ~ (net_str(v24, v23) = 0) | ~ (subnetstr(v25, v23, v24) = 0) | ? [v26] : ? [v27] : ? [v28] : (((v28 = 0 & v27 = 0 & full_subrelstr(v25, v24) = 0 & subrelstr(v25, v24) = 0) | ( ~ (v26 = 0) & full_subnetstr(v25, v23, v24) = v26)) & ((v26 = 0 & full_subnetstr(v25, v23, v24) = 0) | ( ~ (v28 = 0) & subrelstr(v25, v24) = v28) | ( ~ (v27 = 0) & full_subrelstr(v25, v24) = v27)))) & ! [v23] : ! [v24] : ! [v25] : ( ~ (net_str(v24, v23) = 0) | ~ (subnetstr(v25, v23, v24) = 0) | ? [v26] : ((v26 = 0 & net_str(v25, v23) = 0) | ( ~ (v26 = 0) & one_sorted_str(v23) = v26))) & ! [v23] : ! [v24] : (v24 = v23 | ~ (empty(v24) = 0) | ~ (empty(v23) = 0)) & ! [v23] : ! [v24] : (v24 = 0 | ~ (one_sorted_str(v23) = v24) | ? [v25] : ( ~ (v25 = 0) & rel_str(v23) = v25)) & ! [v23] : ! [v24] : (v24 = 0 | ~ (empty_carrier(v23) = v24) | ? [v25] : ? [v26] : (( ~ (v26 = 0) & the_carrier(v23) = v25 & empty(v25) = v26) | ( ~ (v25 = 0) & one_sorted_str(v23) = v25))) & ! [v23] : ! [v24] : (v24 = 0 | ~ (v1_yellow_3(v23) = v24) | ? [v25] : (( ~ (v25 = 0) & empty_carrier(v23) = v25) | ( ~ (v25 = 0) & rel_str(v23) = v25))) & ! [v23] : ! [v24] : (v24 = 0 | ~ (relation(v23) = v24) | ? [v25] : ( ~ (v25 = 0) & empty(v23) = v25)) & ! [v23] : ! [v24] : (v24 = 0 | ~ (function(v23) = v24) | ? [v25] : ( ~ (v25 = 0) & empty(v23) = v25)) & ! [v23] : ! [v24] : ( ~ (the_carrier(v23) = v24) | ? [v25] : ((v25 = 0 & empty_carrier(v23) = 0) | ( ~ (v25 = 0) & one_sorted_str(v23) = v25) | ( ~ (v25 = 0) & empty(v24) = v25))) & ! [v23] : ! [v24] : ( ~ (element(v23, v24) = 0) | ? [v25] : ((v25 = 0 & empty(v24) = 0) | (v25 = 0 & in(v23, v24) = 0))) & ! [v23] : ! [v24] : ( ~ (one_sorted_str(v23) = 0) | ~ (net_str(v24, v23) = 0) | rel_str(v24) = 0) & ! [v23] : ! [v24] : ( ~ (net_str(v24, v23) = 0) | ? [v25] : ? [v26] : ((v26 = 0 & subnetstr(v25, v23, v24) = 0) | ( ~ (v25 = 0) & one_sorted_str(v23) = v25))) & ! [v23] : ! [v24] : ( ~ (subrelstr(v24, v23) = 0) | ~ (rel_str(v23) = 0) | rel_str(v24) = 0) & ! [v23] : ! [v24] : ( ~ (one_to_one(v23) = v24) | ? [v25] : ? [v26] : ((v26 = 0 & v25 = 0 & v24 = 0 & relation(v23) = 0 & function(v23) = 0) | ( ~ (v25 = 0) & relation(v23) = v25) | ( ~ (v25 = 0) & function(v23) = v25) | ( ~ (v25 = 0) & empty(v23) = v25))) & ! [v23] : ! [v24] : ( ~ (in(v24, v23) = 0) | ? [v25] : ( ~ (v25 = 0) & in(v23, v24) = v25)) & ! [v23] : ! [v24] : ( ~ (in(v23, v24) = 0) | element(v23, v24) = 0) & ! [v23] : ! [v24] : ( ~ (in(v23, v24) = 0) | ? [v25] : ( ~ (v25 = 0) & empty(v24) = v25)) & ! [v23] : ! [v24] : ( ~ (in(v23, v24) = 0) | ? [v25] : ( ~ (v25 = 0) & in(v24, v23) = v25)) & ! [v23] : (v23 = empty_set | ~ (empty(v23) = 0)) & ! [v23] : ( ~ (one_sorted_str(v23) = 0) | ? [v24] : ? [v25] : ((v24 = 0 & empty_carrier(v23) = 0) | ( ~ (v25 = 0) & the_carrier(v23) = v24 & empty(v24) = v25))) & ! [v23] : ( ~ (one_sorted_str(v23) = 0) | ? [v24] : net_str(v24, v23) = 0) & ! [v23] : ( ~ (empty_carrier(v23) = 0) | ? [v24] : ((v24 = 0 & v1_yellow_3(v23) = 0) | ( ~ (v24 = 0) & rel_str(v23) = v24))) & ! [v23] : ( ~ (rel_str(v23) = 0) | one_sorted_str(v23) = 0) & ! [v23] : ( ~ (rel_str(v23) = 0) | ? [v24] : (the_carrier(v23) = v24 & ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (related(v23, v27, v28) = v29) | ~ (the_carrier(v25) = v26) | ~ (element(v30, v26) = 0) | ~ (element(v27, v24) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v24) = v31) | ( ~ (v31 = 0) & full_subrelstr(v25, v23) = v31) | ( ~ (v31 = 0) & subrelstr(v25, v23) = v31) | (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32)))))) & ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (related(v25, v27, v28) = v29) | ~ (related(v23, v27, v28) = 0) | ~ (the_carrier(v25) = v26) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : (( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v28, v24) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & full_subrelstr(v25, v23) = v30) | ( ~ (v30 = 0) & subrelstr(v25, v23) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (the_carrier(v25) = v26) | ~ (element(v28, v26) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29) | ( ~ (v29 = 0) & full_subrelstr(v25, v23) = v29) | ( ~ (v29 = 0) & subrelstr(v25, v23) = v29) | ( ~ (v29 = 0) & in(v28, v26) = v29))) & ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (the_carrier(v25) = v26) | ~ (element(v27, v24) = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v26) = v29) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29) | ( ~ (v29 = 0) & full_subrelstr(v25, v23) = v29) | ( ~ (v29 = 0) & subrelstr(v25, v23) = v29))) & ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (the_carrier(v25) = v26) | ~ (element(v28, v24) = 0) | ~ (element(v27, v24) = 0) | ? [v29] : (( ~ (v29 = 0) & full_subrelstr(v25, v23) = v29) | ( ~ (v29 = 0) & subrelstr(v25, v23) = v29) | (related(v23, v27, v28) = v29 & ! [v30] : ( ~ (v29 = 0) | v30 = 0 | ~ (related(v25, v27, v28) = v30) | ~ (in(v27, v26) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v26) = v31) | ( ~ (v31 = 0) & element(v27, v26) = v31) | ( ~ (v31 = 0) & in(v28, v26) = v31))) & ! [v30] : ( ~ (element(v30, v26) = 0) | ? [v31] : (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32))))) & ( ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ( ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30)))))) & ! [v25] : ( ~ (full_subrelstr(v25, v23) = 0) | ? [v26] : (( ~ (v26 = 0) & subrelstr(v25, v23) = v26) | (the_carrier(v25) = v26 & ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (related(v23, v27, v28) = v29) | ~ (element(v30, v26) = 0) | ~ (element(v27, v24) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v24) = v31) | (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32)))))) & ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (related(v25, v27, v28) = v29) | ~ (related(v23, v27, v28) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : (( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v28, v24) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (element(v28, v26) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29) | ( ~ (v29 = 0) & in(v28, v26) = v29))) & ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v26) = v29) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29))) & ! [v27] : ! [v28] : ( ~ (element(v28, v24) = 0) | ~ (element(v27, v24) = 0) | ? [v29] : (related(v23, v27, v28) = v29 & ! [v30] : ( ~ (v29 = 0) | v30 = 0 | ~ (related(v25, v27, v28) = v30) | ~ (in(v27, v26) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v26) = v31) | ( ~ (v31 = 0) & element(v27, v26) = v31) | ( ~ (v31 = 0) & in(v28, v26) = v31))) & ! [v30] : ( ~ (element(v30, v26) = 0) | ? [v31] : (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32))))) & ( ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ( ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30)))))))) & ! [v25] : ( ~ (subrelstr(v25, v23) = 0) | ? [v26] : (( ~ (v26 = 0) & full_subrelstr(v25, v23) = v26) | (the_carrier(v25) = v26 & ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (related(v23, v27, v28) = v29) | ~ (element(v30, v26) = 0) | ~ (element(v27, v24) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v24) = v31) | (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32)))))) & ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (related(v25, v27, v28) = v29) | ~ (related(v23, v27, v28) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : (( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v28, v24) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (element(v28, v26) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29) | ( ~ (v29 = 0) & in(v28, v26) = v29))) & ! [v27] : ! [v28] : ( ~ (related(v23, v27, v28) = 0) | ~ (element(v27, v24) = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v29] : ((v29 = 0 & related(v25, v27, v28) = 0) | ( ~ (v29 = 0) & element(v28, v26) = v29) | ( ~ (v29 = 0) & element(v28, v24) = v29) | ( ~ (v29 = 0) & element(v27, v26) = v29))) & ! [v27] : ! [v28] : ( ~ (element(v28, v24) = 0) | ~ (element(v27, v24) = 0) | ? [v29] : (related(v23, v27, v28) = v29 & ! [v30] : ( ~ (v29 = 0) | v30 = 0 | ~ (related(v25, v27, v28) = v30) | ~ (in(v27, v26) = 0) | ? [v31] : (( ~ (v31 = 0) & element(v28, v26) = v31) | ( ~ (v31 = 0) & element(v27, v26) = v31) | ( ~ (v31 = 0) & in(v28, v26) = v31))) & ! [v30] : ( ~ (element(v30, v26) = 0) | ? [v31] : (in(v30, v26) = v31 & ! [v32] : ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | v32 = 0 | ~ (related(v25, v27, v28) = v32) | ? [v33] : (( ~ (v33 = 0) & element(v28, v26) = v33) | ( ~ (v33 = 0) & in(v28, v26) = v33))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & in(v28, v26) = v32))) & ( ~ (v31 = 0) | ~ (v30 = v27) | ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ? [v32] : ((v32 = 0 & related(v25, v27, v28) = 0) | ( ~ (v32 = 0) & element(v28, v26) = v32))))) & ( ~ (v29 = 0) | ~ (element(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v27, v26) = v30) | ( ~ (v30 = 0) & in(v28, v26) = v30))) & ( ~ (v29 = 0) | ~ (in(v28, v26) = 0) | ~ (in(v27, v26) = 0) | ? [v30] : ((v30 = 0 & related(v25, v27, v28) = 0) | ( ~ (v30 = 0) & element(v28, v26) = v30) | ( ~ (v30 = 0) & element(v27, v26) = v30)))))))))) & ! [v23] : ( ~ (rel_str(v23) = 0) | ? [v24] : subrelstr(v24, v23) = 0) & ! [v23] : ( ~ (rel_str(v23) = 0) | ? [v24] : ((v24 = 0 & v1_yellow_3(v23) = 0) | ( ~ (v24 = 0) & empty_carrier(v23) = v24))) & ! [v23] : ( ~ (relation(v23) = 0) | ? [v24] : ? [v25] : ((v25 = 0 & v24 = 0 & one_to_one(v23) = 0 & function(v23) = 0) | ( ~ (v24 = 0) & function(v23) = v24) | ( ~ (v24 = 0) & empty(v23) = v24))) & ! [v23] : ( ~ (function(v23) = 0) | ? [v24] : ? [v25] : ((v25 = 0 & v24 = 0 & one_to_one(v23) = 0 & relation(v23) = 0) | ( ~ (v24 = 0) & relation(v23) = v24) | ( ~ (v24 = 0) & empty(v23) = v24))) & ! [v23] : ( ~ (empty(v23) = 0) | relation(v23) = 0) & ! [v23] : ( ~ (empty(v23) = 0) | function(v23) = 0) & ! [v23] : ( ~ (empty(v23) = 0) | ? [v24] : ? [v25] : ? [v26] : ((v26 = 0 & v25 = 0 & v24 = 0 & one_to_one(v23) = 0 & relation(v23) = 0 & function(v23) = 0) | ( ~ (v24 = 0) & relation(v23) = v24) | ( ~ (v24 = 0) & function(v23) = v24))) & ? [v23] : ? [v24] : ? [v25] : ? [v26] : related(v25, v24, v23) = v26 & ? [v23] : ? [v24] : ? [v25] : ? [v26] : subnetstr(v25, v24, v23) = v26 & ? [v23] : ? [v24] : ? [v25] : ? [v26] : full_subnetstr(v25, v24, v23) = v26 & ? [v23] : ? [v24] : ? [v25] : element(v24, v23) = v25 & ? [v23] : ? [v24] : ? [v25] : net_str(v24, v23) = v25 & ? [v23] : ? [v24] : ? [v25] : full_subrelstr(v24, v23) = v25 & ? [v23] : ? [v24] : ? [v25] : subrelstr(v24, v23) = v25 & ? [v23] : ? [v24] : ? [v25] : in(v24, v23) = v25 & ? [v23] : ? [v24] : relation_empty_yielding(v23) = v24 & ? [v23] : ? [v24] : the_carrier(v23) = v24 & ? [v23] : ? [v24] : element(v24, v23) = 0 & ? [v23] : ? [v24] : one_sorted_str(v23) = v24 & ? [v23] : ? [v24] : one_to_one(v23) = v24 & ? [v23] : ? [v24] : empty_carrier(v23) = v24 & ? [v23] : ? [v24] : rel_str(v23) = v24 & ? [v23] : ? [v24] : v1_yellow_3(v23) = v24 & ? [v23] : ? [v24] : relation(v23) = v24 & ? [v23] : ? [v24] : function(v23) = v24 & ? [v23] : ? [v24] : empty(v23) = v24)
% 81.88/36.95 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22 yields:
% 81.88/36.95 | (1) ~ (all_0_6_6 = 0) & ~ (all_0_10_10 = 0) & ~ (all_0_13_13 = 0) & ~ (all_0_17_17 = 0) & ~ (all_0_20_20 = 0) & related(all_0_18_18, all_0_15_15, all_0_14_14) = all_0_13_13 & related(all_0_21_21, all_0_15_15, all_0_14_14) = 0 & relation_empty_yielding(all_0_3_3) = 0 & relation_empty_yielding(all_0_9_9) = 0 & relation_empty_yielding(all_0_12_12) = 0 & relation_empty_yielding(empty_set) = 0 & the_carrier(all_0_18_18) = all_0_16_16 & the_carrier(all_0_21_21) = all_0_19_19 & element(all_0_14_14, all_0_16_16) = 0 & element(all_0_14_14, all_0_19_19) = 0 & element(all_0_15_15, all_0_16_16) = 0 & element(all_0_15_15, all_0_19_19) = 0 & one_sorted_str(all_0_1_1) = 0 & one_sorted_str(all_0_11_11) = 0 & one_sorted_str(all_0_22_22) = 0 & net_str(all_0_21_21, all_0_22_22) = 0 & subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0 & full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0 & one_to_one(all_0_8_8) = 0 & empty_carrier(all_0_11_11) = all_0_10_10 & empty_carrier(all_0_18_18) = all_0_17_17 & empty_carrier(all_0_21_21) = all_0_20_20 & rel_str(all_0_0_0) = 0 & relation(all_0_2_2) = 0 & relation(all_0_3_3) = 0 & relation(all_0_4_4) = 0 & relation(all_0_5_5) = 0 & relation(all_0_7_7) = 0 & relation(all_0_8_8) = 0 & relation(all_0_9_9) = 0 & relation(all_0_12_12) = 0 & relation(empty_set) = 0 & function(all_0_2_2) = 0 & function(all_0_3_3) = 0 & function(all_0_5_5) = 0 & function(all_0_8_8) = 0 & function(all_0_12_12) = 0 & empty(all_0_4_4) = 0 & empty(all_0_5_5) = 0 & empty(all_0_7_7) = all_0_6_6 & empty(empty_set) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | ( ~ (v8 = 0) & full_subrelstr(v2, v0) = v8) | ( ~ (v8 = 0) & subrelstr(v2, v0) = v8) | ( ~ (v8 = 0) & rel_str(v0) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & full_subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & rel_str(v0) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & rel_str(v0) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & rel_str(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & rel_str(v0) = v6) | (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (related(v4, v3, v2) = v1) | ~ (related(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subnetstr(v4, v3, v2) = v1) | ~ (subnetstr(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (full_subnetstr(v4, v3, v2) = v1) | ~ (full_subnetstr(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (net_str(v2, v0) = v3) | ~ (net_str(v1, v0) = 0) | ? [v4] : (( ~ (v4 = 0) & one_sorted_str(v0) = v4) | ( ~ (v4 = 0) & subnetstr(v2, v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (net_str(v3, v2) = v1) | ~ (net_str(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (full_subrelstr(v3, v2) = v1) | ~ (full_subrelstr(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subrelstr(v3, v2) = v1) | ~ (subrelstr(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | ~ (full_subrelstr(v2, v1) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & subnetstr(v2, v0, v1) = v4) | (( ~ (v3 = 0) | (v4 = 0 & full_subnetstr(v2, v0, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v2, v1) = v5)) & ((v5 = 0 & v3 = 0 & subrelstr(v2, v1) = 0) | ( ~ (v4 = 0) & full_subnetstr(v2, v0, v1) = v4))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | ~ (full_subnetstr(v2, v0, v1) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & subnetstr(v2, v0, v1) = v4) | (( ~ (v3 = 0) | (v5 = 0 & v4 = 0 & full_subrelstr(v2, v1) = 0 & subrelstr(v2, v1) = 0)) & (v3 = 0 | ( ~ (v5 = 0) & subrelstr(v2, v1) = v5) | ( ~ (v4 = 0) & full_subrelstr(v2, v1) = v4))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | ~ (subrelstr(v2, v1) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & subnetstr(v2, v0, v1) = v4) | (( ~ (v3 = 0) | (v4 = 0 & full_subnetstr(v2, v0, v1) = 0) | ( ~ (v5 = 0) & full_subrelstr(v2, v1) = v5)) & ((v5 = 0 & v3 = 0 & full_subrelstr(v2, v1) = 0) | ( ~ (v4 = 0) & full_subnetstr(v2, v0, v1) = v4))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (one_sorted_str(v0) = 0) | ~ (rel_str(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & net_str(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (rel_str(v1) = v2) | ~ (rel_str(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & subrelstr(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (in(v0, v1) = v2) | ? [v3] : ((v3 = 0 & empty(v1) = 0) | ( ~ (v3 = 0) & element(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_sorted_str(v2) = v1) | ~ (one_sorted_str(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty_carrier(v2) = v1) | ~ (empty_carrier(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (rel_str(v2) = v1) | ~ (rel_str(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v1_yellow_3(v2) = v1) | ~ (v1_yellow_3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (the_carrier(v0) = v1) | ~ (full_subrelstr(v2, v0) = 0) | ? [v3] : (( ~ (v3 = 0) & subrelstr(v2, v0) = v3) | ( ~ (v3 = 0) & rel_str(v0) = v3) | (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7)))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (the_carrier(v0) = v1) | ~ (subrelstr(v2, v0) = 0) | ? [v3] : (( ~ (v3 = 0) & full_subrelstr(v2, v0) = v3) | ( ~ (v3 = 0) & rel_str(v0) = v3) | (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7)))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | ~ (subnetstr(v2, v0, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : (((v5 = 0 & v4 = 0 & full_subrelstr(v2, v1) = 0 & subrelstr(v2, v1) = 0) | ( ~ (v3 = 0) & full_subnetstr(v2, v0, v1) = v3)) & ((v3 = 0 & full_subnetstr(v2, v0, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v2, v1) = v5) | ( ~ (v4 = 0) & full_subrelstr(v2, v1) = v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (net_str(v1, v0) = 0) | ~ (subnetstr(v2, v0, v1) = 0) | ? [v3] : ((v3 = 0 & net_str(v2, v0) = 0) | ( ~ (v3 = 0) & one_sorted_str(v0) = v3))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & rel_str(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | ? [v2] : ? [v3] : (( ~ (v3 = 0) & the_carrier(v0) = v2 & empty(v2) = v3) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (v1_yellow_3(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & empty_carrier(v0) = v2) | ( ~ (v2 = 0) & rel_str(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (relation(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ((v2 = 0 & empty_carrier(v0) = 0) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2) | ( ~ (v2 = 0) & empty(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ((v2 = 0 & empty(v1) = 0) | (v2 = 0 & in(v0, v1) = 0))) & ! [v0] : ! [v1] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | rel_str(v1) = 0) & ! [v0] : ! [v1] : ( ~ (net_str(v1, v0) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & subnetstr(v2, v0, v1) = 0) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (subrelstr(v1, v0) = 0) | ~ (rel_str(v0) = 0) | rel_str(v1) = 0) & ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & relation(v0) = 0 & function(v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2) | ( ~ (v2 = 0) & function(v0) = v2) | ( ~ (v2 = 0) & empty(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (in(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | element(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) & ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0)) & ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : ? [v2] : ((v1 = 0 & empty_carrier(v0) = 0) | ( ~ (v2 = 0) & the_carrier(v0) = v1 & empty(v1) = v2))) & ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : net_str(v1, v0) = 0) & ! [v0] : ( ~ (empty_carrier(v0) = 0) | ? [v1] : ((v1 = 0 & v1_yellow_3(v0) = 0) | ( ~ (v1 = 0) & rel_str(v0) = v1))) & ! [v0] : ( ~ (rel_str(v0) = 0) | one_sorted_str(v0) = 0) & ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : (the_carrier(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | ( ~ (v8 = 0) & full_subrelstr(v2, v0) = v8) | ( ~ (v8 = 0) & subrelstr(v2, v0) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & full_subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (the_carrier(v2) = v3) | ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7)))))) & ! [v2] : ( ~ (full_subrelstr(v2, v0) = 0) | ? [v3] : (( ~ (v3 = 0) & subrelstr(v2, v0) = v3) | (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7)))))))) & ! [v2] : ( ~ (subrelstr(v2, v0) = 0) | ? [v3] : (( ~ (v3 = 0) & full_subrelstr(v2, v0) = v3) | (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7)))))))))) & ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : subrelstr(v1, v0) = 0) & ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : ((v1 = 0 & v1_yellow_3(v0) = 0) | ( ~ (v1 = 0) & empty_carrier(v0) = v1))) & ! [v0] : ( ~ (relation(v0) = 0) | ? [v1] : ? [v2] : ((v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & function(v0) = 0) | ( ~ (v1 = 0) & function(v0) = v1) | ( ~ (v1 = 0) & empty(v0) = v1))) & ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : ((v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & relation(v0) = 0) | ( ~ (v1 = 0) & relation(v0) = v1) | ( ~ (v1 = 0) & empty(v0) = v1))) & ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0) & ! [v0] : ( ~ (empty(v0) = 0) | function(v0) = 0) & ! [v0] : ( ~ (empty(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & relation(v0) = 0 & function(v0) = 0) | ( ~ (v1 = 0) & relation(v0) = v1) | ( ~ (v1 = 0) & function(v0) = v1))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : related(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : subnetstr(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : full_subnetstr(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : element(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : net_str(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : full_subrelstr(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : subrelstr(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : in(v1, v0) = v2 & ? [v0] : ? [v1] : relation_empty_yielding(v0) = v1 & ? [v0] : ? [v1] : the_carrier(v0) = v1 & ? [v0] : ? [v1] : element(v1, v0) = 0 & ? [v0] : ? [v1] : one_sorted_str(v0) = v1 & ? [v0] : ? [v1] : one_to_one(v0) = v1 & ? [v0] : ? [v1] : empty_carrier(v0) = v1 & ? [v0] : ? [v1] : rel_str(v0) = v1 & ? [v0] : ? [v1] : v1_yellow_3(v0) = v1 & ? [v0] : ? [v1] : relation(v0) = v1 & ? [v0] : ? [v1] : function(v0) = v1 & ? [v0] : ? [v1] : empty(v0) = v1
% 82.19/37.00 |
% 82.19/37.00 | Applying alpha-rule on (1) yields:
% 82.19/37.00 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_sorted_str(v2) = v1) | ~ (one_sorted_str(v2) = v0))
% 82.19/37.00 | (3) full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0
% 82.19/37.00 | (4) empty_carrier(all_0_21_21) = all_0_20_20
% 82.19/37.00 | (5) empty(empty_set) = 0
% 82.19/37.00 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (net_str(v2, v0) = v3) | ~ (net_str(v1, v0) = 0) | ? [v4] : (( ~ (v4 = 0) & one_sorted_str(v0) = v4) | ( ~ (v4 = 0) & subnetstr(v2, v0, v1) = v4)))
% 82.19/37.00 | (7) ! [v0] : ! [v1] : (v1 = 0 | ~ (relation(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 82.19/37.00 | (8) net_str(all_0_21_21, all_0_22_22) = 0
% 82.19/37.00 | (9) ! [v0] : ( ~ (relation(v0) = 0) | ? [v1] : ? [v2] : ((v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & function(v0) = 0) | ( ~ (v1 = 0) & function(v0) = v1) | ( ~ (v1 = 0) & empty(v0) = v1)))
% 82.19/37.00 | (10) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ((v2 = 0 & empty_carrier(v0) = 0) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2) | ( ~ (v2 = 0) & empty(v1) = v2)))
% 82.19/37.00 | (11) ~ (all_0_10_10 = 0)
% 82.19/37.00 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0))
% 82.19/37.01 | (13) ! [v0] : ! [v1] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | rel_str(v1) = 0)
% 82.19/37.01 | (14) ? [v0] : ? [v1] : ? [v2] : subrelstr(v1, v0) = v2
% 82.19/37.01 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ (the_carrier(v0) = v1) | ~ (full_subrelstr(v2, v0) = 0) | ? [v3] : (( ~ (v3 = 0) & subrelstr(v2, v0) = v3) | ( ~ (v3 = 0) & rel_str(v0) = v3) | (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7))))))))
% 82.19/37.01 | (16) empty(all_0_7_7) = all_0_6_6
% 82.19/37.01 | (17) ! [v0] : ! [v1] : (v1 = 0 | ~ (v1_yellow_3(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & empty_carrier(v0) = v2) | ( ~ (v2 = 0) & rel_str(v0) = v2)))
% 82.19/37.01 | (18) relation(all_0_12_12) = 0
% 82.19/37.01 | (19) ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0)
% 82.19/37.01 | (20) ~ (all_0_13_13 = 0)
% 82.19/37.01 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (full_subrelstr(v3, v2) = v1) | ~ (full_subrelstr(v3, v2) = v0))
% 82.19/37.01 | (22) one_sorted_str(all_0_11_11) = 0
% 82.19/37.01 | (23) relation(all_0_4_4) = 0
% 82.19/37.01 | (24) relation(all_0_2_2) = 0
% 82.19/37.01 | (25) relation_empty_yielding(all_0_3_3) = 0
% 82.19/37.01 | (26) ? [v0] : ? [v1] : element(v1, v0) = 0
% 82.19/37.01 | (27) ? [v0] : ? [v1] : relation(v0) = v1
% 82.19/37.01 | (28) ? [v0] : ? [v1] : function(v0) = v1
% 82.19/37.01 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0))
% 82.19/37.01 | (30) the_carrier(all_0_18_18) = all_0_16_16
% 82.19/37.01 | (31) ! [v0] : ! [v1] : ! [v2] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | ~ (subnetstr(v2, v0, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : (((v5 = 0 & v4 = 0 & full_subrelstr(v2, v1) = 0 & subrelstr(v2, v1) = 0) | ( ~ (v3 = 0) & full_subnetstr(v2, v0, v1) = v3)) & ((v3 = 0 & full_subnetstr(v2, v0, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v2, v1) = v5) | ( ~ (v4 = 0) & full_subrelstr(v2, v1) = v4))))
% 82.19/37.01 | (32) relation(all_0_9_9) = 0
% 82.19/37.01 | (33) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 82.19/37.01 | (34) ! [v0] : ! [v1] : ( ~ (subrelstr(v1, v0) = 0) | ~ (rel_str(v0) = 0) | rel_str(v1) = 0)
% 82.19/37.01 | (35) function(all_0_3_3) = 0
% 82.19/37.01 | (36) ? [v0] : ? [v1] : the_carrier(v0) = v1
% 82.19/37.01 | (37) ? [v0] : ? [v1] : rel_str(v0) = v1
% 82.19/37.01 | (38) the_carrier(all_0_21_21) = all_0_19_19
% 82.19/37.01 | (39) relation_empty_yielding(all_0_9_9) = 0
% 82.19/37.01 | (40) element(all_0_14_14, all_0_19_19) = 0
% 82.19/37.01 | (41) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | ? [v2] : ? [v3] : (( ~ (v3 = 0) & the_carrier(v0) = v2 & empty(v2) = v3) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2)))
% 82.19/37.01 | (42) relation(all_0_5_5) = 0
% 82.19/37.01 | (43) ~ (all_0_6_6 = 0)
% 82.19/37.01 | (44) element(all_0_14_14, all_0_16_16) = 0
% 82.19/37.01 | (45) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (rel_str(v2) = v1) | ~ (rel_str(v2) = v0))
% 82.19/37.01 | (46) ? [v0] : ? [v1] : v1_yellow_3(v0) = v1
% 82.19/37.02 | (47) ? [v0] : ? [v1] : ? [v2] : net_str(v1, v0) = v2
% 82.19/37.02 | (48) ? [v0] : ? [v1] : ? [v2] : element(v1, v0) = v2
% 82.19/37.02 | (49) related(all_0_21_21, all_0_15_15, all_0_14_14) = 0
% 82.19/37.02 | (50) rel_str(all_0_0_0) = 0
% 82.19/37.02 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subrelstr(v3, v2) = v1) | ~ (subrelstr(v3, v2) = v0))
% 82.19/37.02 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0))
% 82.19/37.02 | (53) relation(all_0_7_7) = 0
% 82.19/37.02 | (54) ? [v0] : ? [v1] : ? [v2] : ? [v3] : subnetstr(v2, v1, v0) = v3
% 82.19/37.02 | (55) ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : ? [v2] : ((v1 = 0 & empty_carrier(v0) = 0) | ( ~ (v2 = 0) & the_carrier(v0) = v1 & empty(v1) = v2)))
% 82.19/37.02 | (56) ? [v0] : ? [v1] : ? [v2] : in(v1, v0) = v2
% 82.19/37.02 | (57) ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ((v2 = 0 & empty(v1) = 0) | (v2 = 0 & in(v0, v1) = 0)))
% 82.19/37.02 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | ~ (full_subrelstr(v2, v1) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & subnetstr(v2, v0, v1) = v4) | (( ~ (v3 = 0) | (v4 = 0 & full_subnetstr(v2, v0, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v2, v1) = v5)) & ((v5 = 0 & v3 = 0 & subrelstr(v2, v1) = 0) | ( ~ (v4 = 0) & full_subnetstr(v2, v0, v1) = v4)))))
% 82.19/37.02 | (59) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (in(v0, v1) = v2) | ? [v3] : ((v3 = 0 & empty(v1) = 0) | ( ~ (v3 = 0) & element(v0, v1) = v3)))
% 82.19/37.02 | (60) function(all_0_8_8) = 0
% 82.19/37.02 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (related(v4, v3, v2) = v1) | ~ (related(v4, v3, v2) = v0))
% 82.19/37.02 | (62) related(all_0_18_18, all_0_15_15, all_0_14_14) = all_0_13_13
% 82.19/37.02 | (63) ! [v0] : ( ~ (rel_str(v0) = 0) | one_sorted_str(v0) = 0)
% 82.19/37.02 | (64) ? [v0] : ? [v1] : ? [v2] : ? [v3] : full_subnetstr(v2, v1, v0) = v3
% 82.19/37.02 | (65) ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : (the_carrier(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | ( ~ (v8 = 0) & full_subrelstr(v2, v0) = v8) | ( ~ (v8 = 0) & subrelstr(v2, v0) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & full_subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (the_carrier(v2) = v3) | ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7)))))) & ! [v2] : ( ~ (full_subrelstr(v2, v0) = 0) | ? [v3] : (( ~ (v3 = 0) & subrelstr(v2, v0) = v3) | (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7)))))))) & ! [v2] : ( ~ (subrelstr(v2, v0) = 0) | ? [v3] : (( ~ (v3 = 0) & full_subrelstr(v2, v0) = v3) | (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7))))))))))
% 82.19/37.03 | (66) ! [v0] : ! [v1] : ( ~ (in(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v0, v1) = v2))
% 82.19/37.03 | (67) ? [v0] : ? [v1] : one_sorted_str(v0) = v1
% 82.19/37.03 | (68) ! [v0] : ( ~ (empty(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & relation(v0) = 0 & function(v0) = 0) | ( ~ (v1 = 0) & relation(v0) = v1) | ( ~ (v1 = 0) & function(v0) = v1)))
% 82.19/37.03 | (69) ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : ((v1 = 0 & v1_yellow_3(v0) = 0) | ( ~ (v1 = 0) & empty_carrier(v0) = v1)))
% 82.19/37.03 | (70) ! [v0] : ( ~ (empty_carrier(v0) = 0) | ? [v1] : ((v1 = 0 & v1_yellow_3(v0) = 0) | ( ~ (v1 = 0) & rel_str(v0) = v1)))
% 82.19/37.03 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & rel_str(v0) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6)))
% 82.19/37.03 | (72) function(all_0_5_5) = 0
% 82.19/37.03 | (73) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (one_sorted_str(v0) = 0) | ~ (rel_str(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & net_str(v1, v0) = v3))
% 82.19/37.03 | (74) relation(empty_set) = 0
% 82.19/37.03 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0))
% 82.19/37.03 | (76) ? [v0] : ? [v1] : one_to_one(v0) = v1
% 82.19/37.03 | (77) one_sorted_str(all_0_22_22) = 0
% 82.19/37.03 | (78) function(all_0_2_2) = 0
% 82.19/37.03 | (79) subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0
% 82.19/37.03 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | ~ (full_subnetstr(v2, v0, v1) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & subnetstr(v2, v0, v1) = v4) | (( ~ (v3 = 0) | (v5 = 0 & v4 = 0 & full_subrelstr(v2, v1) = 0 & subrelstr(v2, v1) = 0)) & (v3 = 0 | ( ~ (v5 = 0) & subrelstr(v2, v1) = v5) | ( ~ (v4 = 0) & full_subrelstr(v2, v1) = v4)))))
% 82.19/37.03 | (81) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 82.19/37.03 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (full_subnetstr(v4, v3, v2) = v1) | ~ (full_subnetstr(v4, v3, v2) = v0))
% 82.19/37.03 | (83) function(all_0_12_12) = 0
% 82.19/37.03 | (84) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 82.19/37.03 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0))
% 82.19/37.03 | (86) ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0))
% 82.19/37.03 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty_carrier(v2) = v1) | ~ (empty_carrier(v2) = v0))
% 82.19/37.04 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subnetstr(v4, v3, v2) = v1) | ~ (subnetstr(v4, v3, v2) = v0))
% 82.19/37.04 | (89) ? [v0] : ? [v1] : relation_empty_yielding(v0) = v1
% 82.19/37.04 | (90) ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & relation(v0) = 0 & function(v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2) | ( ~ (v2 = 0) & function(v0) = v2) | ( ~ (v2 = 0) & empty(v0) = v2)))
% 82.19/37.04 | (91) ? [v0] : ? [v1] : ? [v2] : full_subrelstr(v1, v0) = v2
% 82.19/37.04 | (92) ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : net_str(v1, v0) = 0)
% 82.19/37.04 | (93) ! [v0] : ( ~ (empty(v0) = 0) | function(v0) = 0)
% 82.19/37.04 | (94) empty_carrier(all_0_18_18) = all_0_17_17
% 82.19/37.04 | (95) ? [v0] : ? [v1] : ? [v2] : ? [v3] : related(v2, v1, v0) = v3
% 82.19/37.04 | (96) ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0))
% 82.19/37.04 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | ( ~ (v8 = 0) & full_subrelstr(v2, v0) = v8) | ( ~ (v8 = 0) & subrelstr(v2, v0) = v8) | ( ~ (v8 = 0) & rel_str(v0) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))))
% 82.19/37.04 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0))
% 82.19/37.04 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0))
% 82.19/37.04 | (100) relation_empty_yielding(empty_set) = 0
% 82.19/37.04 | (101) empty_carrier(all_0_11_11) = all_0_10_10
% 82.19/37.04 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = v0))
% 82.19/37.04 | (103) element(all_0_15_15, all_0_16_16) = 0
% 82.19/37.04 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & full_subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & rel_str(v0) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7)))
% 82.19/37.04 | (105) relation(all_0_3_3) = 0
% 82.19/37.04 | (106) empty(all_0_4_4) = 0
% 82.19/37.04 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & rel_str(v0) = v6)))
% 82.19/37.04 | (108) ! [v0] : ! [v1] : ! [v2] : ( ~ (the_carrier(v0) = v1) | ~ (subrelstr(v2, v0) = 0) | ? [v3] : (( ~ (v3 = 0) & full_subrelstr(v2, v0) = v3) | ( ~ (v3 = 0) & rel_str(v0) = v3) | (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (related(v0, v4, v5) = v6) | ~ (element(v7, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v1) = v8) | (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9)))))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = v6) | ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v5, v3) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6) | ( ~ (v6 = 0) & in(v5, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (related(v0, v4, v5) = 0) | ~ (element(v4, v1) = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v6] : ((v6 = 0 & related(v2, v4, v5) = 0) | ( ~ (v6 = 0) & element(v5, v3) = v6) | ( ~ (v6 = 0) & element(v5, v1) = v6) | ( ~ (v6 = 0) & element(v4, v3) = v6))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7))))))))
% 82.19/37.04 | (109) empty(all_0_5_5) = 0
% 82.19/37.04 | (110) ~ (all_0_20_20 = 0)
% 82.19/37.04 | (111) one_sorted_str(all_0_1_1) = 0
% 82.19/37.04 | (112) ! [v0] : ! [v1] : ! [v2] : ( ~ (net_str(v1, v0) = 0) | ~ (subnetstr(v2, v0, v1) = 0) | ? [v3] : ((v3 = 0 & net_str(v2, v0) = 0) | ( ~ (v3 = 0) & one_sorted_str(v0) = v3)))
% 82.19/37.04 | (113) ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : subrelstr(v1, v0) = 0)
% 82.19/37.04 | (114) relation(all_0_8_8) = 0
% 82.19/37.04 | (115) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v1_yellow_3(v2) = v1) | ~ (v1_yellow_3(v2) = v0))
% 82.19/37.04 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | ~ (subrelstr(v2, v1) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & subnetstr(v2, v0, v1) = v4) | (( ~ (v3 = 0) | (v4 = 0 & full_subnetstr(v2, v0, v1) = 0) | ( ~ (v5 = 0) & full_subrelstr(v2, v1) = v5)) & ((v5 = 0 & v3 = 0 & full_subrelstr(v2, v1) = 0) | ( ~ (v4 = 0) & full_subnetstr(v2, v0, v1) = v4)))))
% 82.19/37.04 | (117) element(all_0_15_15, all_0_19_19) = 0
% 82.19/37.04 | (118) ! [v0] : ! [v1] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & rel_str(v0) = v2))
% 82.19/37.04 | (119) ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : ((v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & relation(v0) = 0) | ( ~ (v1 = 0) & relation(v0) = v1) | ( ~ (v1 = 0) & empty(v0) = v1)))
% 82.19/37.05 | (120) relation_empty_yielding(all_0_12_12) = 0
% 82.19/37.05 | (121) one_to_one(all_0_8_8) = 0
% 82.19/37.05 | (122) ~ (all_0_17_17 = 0)
% 82.19/37.05 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & full_subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | ( ~ (v6 = 0) & rel_str(v0) = v6) | (related(v0, v4, v5) = v6 & ! [v7] : ( ~ (v6 = 0) | v7 = 0 | ~ (related(v2, v4, v5) = v7) | ~ (in(v4, v3) = 0) | ? [v8] : (( ~ (v8 = 0) & element(v5, v3) = v8) | ( ~ (v8 = 0) & element(v4, v3) = v8) | ( ~ (v8 = 0) & in(v5, v3) = v8))) & ! [v7] : ( ~ (element(v7, v3) = 0) | ? [v8] : (in(v7, v3) = v8 & ! [v9] : ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | v9 = 0 | ~ (related(v2, v4, v5) = v9) | ? [v10] : (( ~ (v10 = 0) & element(v5, v3) = v10) | ( ~ (v10 = 0) & in(v5, v3) = v10))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & in(v5, v3) = v9))) & ( ~ (v8 = 0) | ~ (v7 = v4) | ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ? [v9] : ((v9 = 0 & related(v2, v4, v5) = 0) | ( ~ (v9 = 0) & element(v5, v3) = v9))))) & ( ~ (v6 = 0) | ~ (element(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v4, v3) = v7) | ( ~ (v7 = 0) & in(v5, v3) = v7))) & ( ~ (v6 = 0) | ~ (in(v5, v3) = 0) | ~ (in(v4, v3) = 0) | ? [v7] : ((v7 = 0 & related(v2, v4, v5) = 0) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v4, v3) = v7))))))
% 82.19/37.05 | (124) ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 82.19/37.05 | (125) ? [v0] : ? [v1] : empty_carrier(v0) = v1
% 82.19/37.05 | (126) ? [v0] : ? [v1] : empty(v0) = v1
% 82.19/37.05 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (net_str(v3, v2) = v1) | ~ (net_str(v3, v2) = v0))
% 82.19/37.05 | (128) ! [v0] : ! [v1] : ( ~ (net_str(v1, v0) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & subnetstr(v2, v0, v1) = 0) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2)))
% 82.19/37.05 | (129) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | element(v0, v1) = 0)
% 82.19/37.05 | (130) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (rel_str(v1) = v2) | ~ (rel_str(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & subrelstr(v1, v0) = v3))
% 82.19/37.05 |
% 82.19/37.05 | Instantiating formula (10) with all_0_16_16, all_0_18_18 and discharging atoms the_carrier(all_0_18_18) = all_0_16_16, yields:
% 82.19/37.05 | (131) ? [v0] : ((v0 = 0 & empty_carrier(all_0_18_18) = 0) | ( ~ (v0 = 0) & one_sorted_str(all_0_18_18) = v0) | ( ~ (v0 = 0) & empty(all_0_16_16) = v0))
% 82.19/37.05 |
% 82.19/37.05 | Instantiating formula (57) with all_0_16_16, all_0_14_14 and discharging atoms element(all_0_14_14, all_0_16_16) = 0, yields:
% 82.19/37.05 | (132) ? [v0] : ((v0 = 0 & empty(all_0_16_16) = 0) | (v0 = 0 & in(all_0_14_14, all_0_16_16) = 0))
% 82.19/37.05 |
% 82.19/37.05 | Instantiating formula (123) with all_0_14_14, all_0_14_14, all_0_16_16, all_0_18_18, all_0_19_19, all_0_21_21 and discharging atoms the_carrier(all_0_18_18) = all_0_16_16, the_carrier(all_0_21_21) = all_0_19_19, element(all_0_14_14, all_0_19_19) = 0, yields:
% 82.19/37.05 | (133) ? [v0] : (( ~ (v0 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & rel_str(all_0_21_21) = v0) | (related(all_0_21_21, all_0_14_14, all_0_14_14) = v0 & ! [v1] : ( ~ (v0 = 0) | v1 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_14_14) = v1) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v2] : (( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_14_14, all_0_16_16) = v2))) & ! [v1] : ( ~ (element(v1, all_0_16_16) = 0) | ? [v2] : (in(v1, all_0_16_16) = v2 & ! [v3] : ( ~ (v2 = 0) | ~ (v1 = all_0_14_14) | ~ (v0 = 0) | v3 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_14_14) = v3) | ? [v4] : (( ~ (v4 = 0) & element(all_0_14_14, all_0_16_16) = v4) | ( ~ (v4 = 0) & in(all_0_14_14, all_0_16_16) = v4))) & ( ~ (v2 = 0) | ~ (v1 = all_0_14_14) | ~ (v0 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v3 = 0) & in(all_0_14_14, all_0_16_16) = v3))) & ( ~ (v2 = 0) | ~ (v1 = all_0_14_14) | ~ (v0 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v3 = 0) & element(all_0_14_14, all_0_16_16) = v3))))) & ( ~ (v0 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1)))))
% 82.19/37.05 |
% 82.19/37.05 | Instantiating formula (57) with all_0_16_16, all_0_15_15 and discharging atoms element(all_0_15_15, all_0_16_16) = 0, yields:
% 82.19/37.05 | (134) ? [v0] : ((v0 = 0 & empty(all_0_16_16) = 0) | (v0 = 0 & in(all_0_15_15, all_0_16_16) = 0))
% 82.19/37.05 |
% 82.19/37.05 | Instantiating formula (97) with all_0_15_15, 0, all_0_14_14, all_0_15_15, all_0_16_16, all_0_18_18, all_0_19_19, all_0_21_21 and discharging atoms related(all_0_21_21, all_0_15_15, all_0_14_14) = 0, the_carrier(all_0_18_18) = all_0_16_16, the_carrier(all_0_21_21) = all_0_19_19, element(all_0_15_15, all_0_16_16) = 0, element(all_0_15_15, all_0_19_19) = 0, yields:
% 82.19/37.05 | (135) ? [v0] : (( ~ (v0 = 0) & element(all_0_14_14, all_0_19_19) = v0) | ( ~ (v0 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & rel_str(all_0_21_21) = v0) | (in(all_0_15_15, all_0_16_16) = v0 & ! [v1] : ( ~ (v0 = 0) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v1) | ? [v2] : (( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_14_14, all_0_16_16) = v2))) & ( ~ (v0 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1)))))
% 82.19/37.05 |
% 82.19/37.05 | Instantiating formula (123) with all_0_15_15, all_0_14_14, all_0_16_16, all_0_18_18, all_0_19_19, all_0_21_21 and discharging atoms the_carrier(all_0_18_18) = all_0_16_16, the_carrier(all_0_21_21) = all_0_19_19, element(all_0_14_14, all_0_19_19) = 0, element(all_0_15_15, all_0_19_19) = 0, yields:
% 82.19/37.05 | (136) ? [v0] : (( ~ (v0 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & rel_str(all_0_21_21) = v0) | (related(all_0_21_21, all_0_14_14, all_0_15_15) = v0 & ! [v1] : ( ~ (v0 = 0) | v1 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_15_15) = v1) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v2] : (( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2) | ( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ! [v1] : ( ~ (element(v1, all_0_16_16) = 0) | ? [v2] : (in(v1, all_0_16_16) = v2 & ! [v3] : ( ~ (v2 = 0) | ~ (v1 = all_0_14_14) | ~ (v0 = 0) | v3 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_15_15) = v3) | ? [v4] : (( ~ (v4 = 0) & element(all_0_15_15, all_0_16_16) = v4) | ( ~ (v4 = 0) & in(all_0_15_15, all_0_16_16) = v4))) & ( ~ (v2 = 0) | ~ (v1 = all_0_14_14) | ~ (v0 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v3 = 0) & in(all_0_15_15, all_0_16_16) = v3))) & ( ~ (v2 = 0) | ~ (v1 = all_0_14_14) | ~ (v0 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v3 = 0) & element(all_0_15_15, all_0_16_16) = v3))))) & ( ~ (v0 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1)))))
% 82.19/37.05 |
% 82.19/37.05 | Instantiating formula (123) with all_0_14_14, all_0_15_15, all_0_16_16, all_0_18_18, all_0_19_19, all_0_21_21 and discharging atoms the_carrier(all_0_18_18) = all_0_16_16, the_carrier(all_0_21_21) = all_0_19_19, element(all_0_14_14, all_0_19_19) = 0, element(all_0_15_15, all_0_19_19) = 0, yields:
% 82.19/37.05 | (137) ? [v0] : (( ~ (v0 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & rel_str(all_0_21_21) = v0) | (related(all_0_21_21, all_0_15_15, all_0_14_14) = v0 & ! [v1] : ( ~ (v0 = 0) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v1) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v2] : (( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2) | ( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_14_14, all_0_16_16) = v2))) & ! [v1] : ( ~ (element(v1, all_0_16_16) = 0) | ? [v2] : (in(v1, all_0_16_16) = v2 & ! [v3] : ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | v3 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v3) | ? [v4] : (( ~ (v4 = 0) & element(all_0_14_14, all_0_16_16) = v4) | ( ~ (v4 = 0) & in(all_0_14_14, all_0_16_16) = v4))) & ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v3 = 0) & in(all_0_14_14, all_0_16_16) = v3))) & ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v3 = 0) & element(all_0_14_14, all_0_16_16) = v3))))) & ( ~ (v0 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1)))))
% 82.19/37.06 |
% 82.19/37.06 | Instantiating formula (123) with all_0_15_15, all_0_15_15, all_0_16_16, all_0_18_18, all_0_19_19, all_0_21_21 and discharging atoms the_carrier(all_0_18_18) = all_0_16_16, the_carrier(all_0_21_21) = all_0_19_19, element(all_0_15_15, all_0_19_19) = 0, yields:
% 82.19/37.06 | (138) ? [v0] : (( ~ (v0 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & rel_str(all_0_21_21) = v0) | (related(all_0_21_21, all_0_15_15, all_0_15_15) = v0 & ! [v1] : ( ~ (v0 = 0) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v1) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v2] : (( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ! [v1] : ( ~ (element(v1, all_0_16_16) = 0) | ? [v2] : (in(v1, all_0_16_16) = v2 & ! [v3] : ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | v3 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v3) | ? [v4] : (( ~ (v4 = 0) & element(all_0_15_15, all_0_16_16) = v4) | ( ~ (v4 = 0) & in(all_0_15_15, all_0_16_16) = v4))) & ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v3 = 0) & in(all_0_15_15, all_0_16_16) = v3))) & ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v3 = 0) & element(all_0_15_15, all_0_16_16) = v3))))) & ( ~ (v0 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1)))))
% 82.19/37.06 |
% 82.19/37.06 | Instantiating formula (13) with all_0_21_21, all_0_22_22 and discharging atoms one_sorted_str(all_0_22_22) = 0, net_str(all_0_21_21, all_0_22_22) = 0, yields:
% 82.19/37.06 | (139) rel_str(all_0_21_21) = 0
% 82.19/37.06 |
% 82.19/37.06 | Instantiating formula (31) with all_0_18_18, all_0_21_21, all_0_22_22 and discharging atoms one_sorted_str(all_0_22_22) = 0, net_str(all_0_21_21, all_0_22_22) = 0, subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0, yields:
% 82.19/37.06 | (140) ? [v0] : ? [v1] : ? [v2] : (((v2 = 0 & v1 = 0 & full_subrelstr(all_0_18_18, all_0_21_21) = 0 & subrelstr(all_0_18_18, all_0_21_21) = 0) | ( ~ (v0 = 0) & full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = v0)) & ((v0 = 0 & full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0) | ( ~ (v2 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v2) | ( ~ (v1 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v1)))
% 82.19/37.06 |
% 82.19/37.06 | Instantiating formula (80) with 0, all_0_18_18, all_0_21_21, all_0_22_22 and discharging atoms one_sorted_str(all_0_22_22) = 0, net_str(all_0_21_21, all_0_22_22) = 0, full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0, yields:
% 82.19/37.06 | (141) ? [v0] : ? [v1] : ((v1 = 0 & v0 = 0 & full_subrelstr(all_0_18_18, all_0_21_21) = 0 & subrelstr(all_0_18_18, all_0_21_21) = 0) | ( ~ (v0 = 0) & subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = v0))
% 82.19/37.06 |
% 82.19/37.06 | Instantiating formula (41) with all_0_17_17, all_0_18_18 and discharging atoms empty_carrier(all_0_18_18) = all_0_17_17, yields:
% 82.19/37.06 | (142) all_0_17_17 = 0 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & the_carrier(all_0_18_18) = v0 & empty(v0) = v1) | ( ~ (v0 = 0) & one_sorted_str(all_0_18_18) = v0))
% 82.19/37.06 |
% 82.19/37.06 | Instantiating (138) with all_60_0_81 yields:
% 82.19/37.06 | (143) ( ~ (all_60_0_81 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81) | ( ~ (all_60_0_81 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81) | ( ~ (all_60_0_81 = 0) & rel_str(all_0_21_21) = all_60_0_81) | (related(all_0_21_21, all_0_15_15, all_0_15_15) = all_60_0_81 & ! [v0] : ( ~ (all_60_0_81 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_60_0_81 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_15_15, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_15_15, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_60_0_81 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2))))) & ( ~ (all_60_0_81 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))))
% 82.19/37.06 |
% 82.19/37.06 | Instantiating (135) with all_63_0_84 yields:
% 82.19/37.06 | (144) ( ~ (all_63_0_84 = 0) & element(all_0_14_14, all_0_19_19) = all_63_0_84) | ( ~ (all_63_0_84 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84) | ( ~ (all_63_0_84 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84) | ( ~ (all_63_0_84 = 0) & rel_str(all_0_21_21) = all_63_0_84) | (in(all_0_15_15, all_0_16_16) = all_63_0_84 & ! [v0] : ( ~ (all_63_0_84 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ( ~ (all_63_0_84 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))) & ( ~ (all_63_0_84 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0))))
% 82.19/37.06 |
% 82.19/37.06 | Instantiating (140) with all_70_0_91, all_70_1_92, all_70_2_93 yields:
% 82.19/37.06 | (145) ((all_70_0_91 = 0 & all_70_1_92 = 0 & full_subrelstr(all_0_18_18, all_0_21_21) = 0 & subrelstr(all_0_18_18, all_0_21_21) = 0) | ( ~ (all_70_2_93 = 0) & full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = all_70_2_93)) & ((all_70_2_93 = 0 & full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0) | ( ~ (all_70_0_91 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_70_0_91) | ( ~ (all_70_1_92 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_70_1_92))
% 82.19/37.06 |
% 82.19/37.06 | Applying alpha-rule on (145) yields:
% 82.19/37.06 | (146) (all_70_0_91 = 0 & all_70_1_92 = 0 & full_subrelstr(all_0_18_18, all_0_21_21) = 0 & subrelstr(all_0_18_18, all_0_21_21) = 0) | ( ~ (all_70_2_93 = 0) & full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = all_70_2_93)
% 82.19/37.06 | (147) (all_70_2_93 = 0 & full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0) | ( ~ (all_70_0_91 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_70_0_91) | ( ~ (all_70_1_92 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_70_1_92)
% 82.19/37.06 |
% 82.19/37.06 | Instantiating (137) with all_72_0_96 yields:
% 82.19/37.06 | (148) ( ~ (all_72_0_96 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96) | ( ~ (all_72_0_96 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96) | ( ~ (all_72_0_96 = 0) & rel_str(all_0_21_21) = all_72_0_96) | (related(all_0_21_21, all_0_15_15, all_0_14_14) = all_72_0_96 & ! [v0] : ( ~ (all_72_0_96 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_72_0_96 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_14_14, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_14_14, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_72_0_96 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & in(all_0_14_14, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_72_0_96 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2))))) & ( ~ (all_72_0_96 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))) & ( ~ (all_72_0_96 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))))
% 82.19/37.06 |
% 82.19/37.06 | Instantiating (136) with all_73_0_97 yields:
% 82.19/37.06 | (149) ( ~ (all_73_0_97 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97) | ( ~ (all_73_0_97 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97) | ( ~ (all_73_0_97 = 0) & rel_str(all_0_21_21) = all_73_0_97) | (related(all_0_21_21, all_0_14_14, all_0_15_15) = all_73_0_97 & ! [v0] : ( ~ (all_73_0_97 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_15_15) = v0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_73_0_97 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_15_15) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_15_15, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_15_15, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_73_0_97 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_73_0_97 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2))))) & ( ~ (all_73_0_97 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_73_0_97 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))))
% 82.19/37.07 |
% 82.19/37.07 | Instantiating (134) with all_76_0_100 yields:
% 82.19/37.07 | (150) (all_76_0_100 = 0 & empty(all_0_16_16) = 0) | (all_76_0_100 = 0 & in(all_0_15_15, all_0_16_16) = 0)
% 82.19/37.07 |
% 82.19/37.07 | Instantiating (132) with all_78_0_102 yields:
% 82.19/37.07 | (151) (all_78_0_102 = 0 & empty(all_0_16_16) = 0) | (all_78_0_102 = 0 & in(all_0_14_14, all_0_16_16) = 0)
% 82.19/37.07 |
% 82.19/37.07 | Instantiating (133) with all_80_0_104 yields:
% 82.19/37.07 | (152) ( ~ (all_80_0_104 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104) | ( ~ (all_80_0_104 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104) | ( ~ (all_80_0_104 = 0) & rel_str(all_0_21_21) = all_80_0_104) | (related(all_0_21_21, all_0_14_14, all_0_14_14) = all_80_0_104 & ! [v0] : ( ~ (all_80_0_104 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_14_14) = v0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_80_0_104 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_14_14) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_14_14, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_14_14, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_80_0_104 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v2 = 0) & in(all_0_14_14, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_80_0_104 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2))))) & ( ~ (all_80_0_104 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))) & ( ~ (all_80_0_104 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0))))
% 82.19/37.07 |
% 82.19/37.07 | Instantiating (131) with all_97_0_131 yields:
% 82.19/37.07 | (153) (all_97_0_131 = 0 & empty_carrier(all_0_18_18) = 0) | ( ~ (all_97_0_131 = 0) & one_sorted_str(all_0_18_18) = all_97_0_131) | ( ~ (all_97_0_131 = 0) & empty(all_0_16_16) = all_97_0_131)
% 82.19/37.07 |
% 82.19/37.07 | Instantiating (141) with all_112_0_148, all_112_1_149 yields:
% 82.19/37.07 | (154) (all_112_0_148 = 0 & all_112_1_149 = 0 & full_subrelstr(all_0_18_18, all_0_21_21) = 0 & subrelstr(all_0_18_18, all_0_21_21) = 0) | ( ~ (all_112_1_149 = 0) & subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = all_112_1_149)
% 82.19/37.07 |
% 82.19/37.07 +-Applying beta-rule and splitting (154), into two cases.
% 82.19/37.07 |-Branch one:
% 82.19/37.07 | (155) all_112_0_148 = 0 & all_112_1_149 = 0 & full_subrelstr(all_0_18_18, all_0_21_21) = 0 & subrelstr(all_0_18_18, all_0_21_21) = 0
% 82.19/37.07 |
% 82.19/37.07 | Applying alpha-rule on (155) yields:
% 82.19/37.07 | (156) all_112_0_148 = 0
% 82.19/37.07 | (157) all_112_1_149 = 0
% 82.19/37.07 | (158) full_subrelstr(all_0_18_18, all_0_21_21) = 0
% 82.19/37.07 | (159) subrelstr(all_0_18_18, all_0_21_21) = 0
% 82.19/37.07 |
% 82.19/37.07 +-Applying beta-rule and splitting (142), into two cases.
% 82.19/37.07 |-Branch one:
% 82.19/37.07 | (160) all_0_17_17 = 0
% 82.19/37.07 |
% 82.69/37.07 | Equations (160) can reduce 122 to:
% 82.69/37.07 | (161) $false
% 82.69/37.07 |
% 82.69/37.07 |-The branch is then unsatisfiable
% 82.69/37.07 |-Branch two:
% 82.69/37.07 | (122) ~ (all_0_17_17 = 0)
% 82.69/37.07 | (163) ? [v0] : ? [v1] : (( ~ (v1 = 0) & the_carrier(all_0_18_18) = v0 & empty(v0) = v1) | ( ~ (v0 = 0) & one_sorted_str(all_0_18_18) = v0))
% 82.69/37.07 |
% 82.69/37.07 | Instantiating (163) with all_130_0_154, all_130_1_155 yields:
% 82.69/37.07 | (164) ( ~ (all_130_0_154 = 0) & the_carrier(all_0_18_18) = all_130_1_155 & empty(all_130_1_155) = all_130_0_154) | ( ~ (all_130_1_155 = 0) & one_sorted_str(all_0_18_18) = all_130_1_155)
% 82.69/37.07 |
% 82.69/37.07 +-Applying beta-rule and splitting (144), into two cases.
% 82.69/37.07 |-Branch one:
% 82.69/37.07 | (165) ( ~ (all_63_0_84 = 0) & element(all_0_14_14, all_0_19_19) = all_63_0_84) | ( ~ (all_63_0_84 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84) | ( ~ (all_63_0_84 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84) | ( ~ (all_63_0_84 = 0) & rel_str(all_0_21_21) = all_63_0_84)
% 82.69/37.07 |
% 82.69/37.07 +-Applying beta-rule and splitting (165), into two cases.
% 82.69/37.07 |-Branch one:
% 82.69/37.07 | (166) ( ~ (all_63_0_84 = 0) & element(all_0_14_14, all_0_19_19) = all_63_0_84) | ( ~ (all_63_0_84 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84) | ( ~ (all_63_0_84 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84)
% 82.69/37.07 |
% 82.69/37.07 +-Applying beta-rule and splitting (166), into two cases.
% 82.69/37.07 |-Branch one:
% 82.69/37.07 | (167) ( ~ (all_63_0_84 = 0) & element(all_0_14_14, all_0_19_19) = all_63_0_84) | ( ~ (all_63_0_84 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84)
% 82.69/37.07 |
% 82.69/37.07 +-Applying beta-rule and splitting (167), into two cases.
% 82.69/37.07 |-Branch one:
% 82.69/37.07 | (168) ~ (all_63_0_84 = 0) & element(all_0_14_14, all_0_19_19) = all_63_0_84
% 82.69/37.07 |
% 82.69/37.07 | Applying alpha-rule on (168) yields:
% 82.69/37.07 | (169) ~ (all_63_0_84 = 0)
% 82.69/37.07 | (170) element(all_0_14_14, all_0_19_19) = all_63_0_84
% 82.69/37.07 |
% 82.69/37.07 | Instantiating formula (12) with all_0_14_14, all_0_19_19, all_63_0_84, 0 and discharging atoms element(all_0_14_14, all_0_19_19) = all_63_0_84, element(all_0_14_14, all_0_19_19) = 0, yields:
% 82.69/37.07 | (171) all_63_0_84 = 0
% 82.69/37.07 |
% 82.69/37.07 | Equations (171) can reduce 169 to:
% 82.69/37.07 | (161) $false
% 82.69/37.07 |
% 82.69/37.07 |-The branch is then unsatisfiable
% 82.69/37.07 |-Branch two:
% 82.69/37.07 | (173) ~ (all_63_0_84 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84
% 82.69/37.07 |
% 82.69/37.07 | Applying alpha-rule on (173) yields:
% 82.69/37.07 | (169) ~ (all_63_0_84 = 0)
% 82.69/37.07 | (175) full_subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84
% 82.69/37.07 |
% 82.69/37.07 | Instantiating formula (21) with all_0_18_18, all_0_21_21, 0, all_63_0_84 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.69/37.07 | (171) all_63_0_84 = 0
% 82.69/37.07 |
% 82.69/37.07 | Equations (171) can reduce 169 to:
% 82.69/37.07 | (161) $false
% 82.69/37.07 |
% 82.69/37.07 |-The branch is then unsatisfiable
% 82.69/37.07 |-Branch two:
% 82.69/37.07 | (178) ~ (all_63_0_84 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84
% 82.69/37.07 |
% 82.69/37.07 | Applying alpha-rule on (178) yields:
% 82.69/37.07 | (169) ~ (all_63_0_84 = 0)
% 82.69/37.07 | (180) subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84
% 82.69/37.07 |
% 82.69/37.07 | Instantiating formula (51) with all_0_18_18, all_0_21_21, 0, all_63_0_84 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = all_63_0_84, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.69/37.07 | (171) all_63_0_84 = 0
% 82.69/37.07 |
% 82.69/37.07 | Equations (171) can reduce 169 to:
% 82.69/37.07 | (161) $false
% 82.69/37.07 |
% 82.69/37.07 |-The branch is then unsatisfiable
% 82.69/37.07 |-Branch two:
% 82.69/37.07 | (183) ~ (all_63_0_84 = 0) & rel_str(all_0_21_21) = all_63_0_84
% 82.69/37.07 |
% 82.69/37.07 | Applying alpha-rule on (183) yields:
% 82.69/37.07 | (169) ~ (all_63_0_84 = 0)
% 82.69/37.07 | (185) rel_str(all_0_21_21) = all_63_0_84
% 82.69/37.07 |
% 82.69/37.07 | Instantiating formula (45) with all_0_21_21, 0, all_63_0_84 and discharging atoms rel_str(all_0_21_21) = all_63_0_84, rel_str(all_0_21_21) = 0, yields:
% 82.69/37.07 | (171) all_63_0_84 = 0
% 82.69/37.07 |
% 82.69/37.07 | Equations (171) can reduce 169 to:
% 82.69/37.07 | (161) $false
% 82.69/37.07 |
% 82.69/37.07 |-The branch is then unsatisfiable
% 82.69/37.07 |-Branch two:
% 82.69/37.07 | (188) in(all_0_15_15, all_0_16_16) = all_63_0_84 & ! [v0] : ( ~ (all_63_0_84 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ( ~ (all_63_0_84 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))) & ( ~ (all_63_0_84 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0)))
% 82.69/37.07 |
% 82.69/37.07 | Applying alpha-rule on (188) yields:
% 82.69/37.07 | (189) in(all_0_15_15, all_0_16_16) = all_63_0_84
% 82.69/37.07 | (190) ! [v0] : ( ~ (all_63_0_84 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1)))
% 82.69/37.07 | (191) ~ (all_63_0_84 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 82.69/37.07 | (192) ~ (all_63_0_84 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0))
% 82.69/37.08 |
% 82.69/37.08 | Instantiating formula (190) with all_0_13_13 and discharging atoms related(all_0_18_18, all_0_15_15, all_0_14_14) = all_0_13_13, yields:
% 82.69/37.08 | (193) ~ (all_63_0_84 = 0) | all_0_13_13 = 0 | ? [v0] : (( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 82.69/37.08 |
% 82.69/37.08 +-Applying beta-rule and splitting (143), into two cases.
% 82.69/37.08 |-Branch one:
% 82.69/37.08 | (194) ( ~ (all_60_0_81 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81) | ( ~ (all_60_0_81 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81) | ( ~ (all_60_0_81 = 0) & rel_str(all_0_21_21) = all_60_0_81)
% 82.69/37.08 |
% 82.69/37.08 +-Applying beta-rule and splitting (194), into two cases.
% 82.69/37.08 |-Branch one:
% 82.69/37.08 | (195) ( ~ (all_60_0_81 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81) | ( ~ (all_60_0_81 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81)
% 82.69/37.08 |
% 82.69/37.08 +-Applying beta-rule and splitting (195), into two cases.
% 82.69/37.08 |-Branch one:
% 82.69/37.08 | (196) ~ (all_60_0_81 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81
% 82.69/37.08 |
% 82.69/37.08 | Applying alpha-rule on (196) yields:
% 82.69/37.08 | (197) ~ (all_60_0_81 = 0)
% 82.69/37.08 | (198) full_subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81
% 82.69/37.08 |
% 82.69/37.08 | Instantiating formula (21) with all_0_18_18, all_0_21_21, 0, all_60_0_81 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.69/37.08 | (199) all_60_0_81 = 0
% 82.69/37.08 |
% 82.69/37.08 | Equations (199) can reduce 197 to:
% 82.69/37.08 | (161) $false
% 82.69/37.08 |
% 82.69/37.08 |-The branch is then unsatisfiable
% 82.69/37.08 |-Branch two:
% 82.69/37.08 | (201) ~ (all_60_0_81 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81
% 82.69/37.08 |
% 82.69/37.08 | Applying alpha-rule on (201) yields:
% 82.69/37.08 | (197) ~ (all_60_0_81 = 0)
% 82.69/37.08 | (203) subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81
% 82.69/37.08 |
% 82.69/37.08 | Instantiating formula (51) with all_0_18_18, all_0_21_21, 0, all_60_0_81 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = all_60_0_81, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.69/37.08 | (199) all_60_0_81 = 0
% 82.69/37.08 |
% 82.69/37.08 | Equations (199) can reduce 197 to:
% 82.69/37.08 | (161) $false
% 82.69/37.08 |
% 82.69/37.08 |-The branch is then unsatisfiable
% 82.69/37.08 |-Branch two:
% 82.69/37.08 | (206) ~ (all_60_0_81 = 0) & rel_str(all_0_21_21) = all_60_0_81
% 82.69/37.08 |
% 82.69/37.08 | Applying alpha-rule on (206) yields:
% 82.69/37.08 | (197) ~ (all_60_0_81 = 0)
% 82.69/37.08 | (208) rel_str(all_0_21_21) = all_60_0_81
% 82.69/37.08 |
% 82.69/37.08 | Instantiating formula (45) with all_0_21_21, 0, all_60_0_81 and discharging atoms rel_str(all_0_21_21) = all_60_0_81, rel_str(all_0_21_21) = 0, yields:
% 82.69/37.08 | (199) all_60_0_81 = 0
% 82.69/37.08 |
% 82.69/37.08 | Equations (199) can reduce 197 to:
% 82.69/37.08 | (161) $false
% 82.69/37.08 |
% 82.69/37.08 |-The branch is then unsatisfiable
% 82.69/37.08 |-Branch two:
% 82.69/37.08 | (211) related(all_0_21_21, all_0_15_15, all_0_15_15) = all_60_0_81 & ! [v0] : ( ~ (all_60_0_81 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_60_0_81 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_15_15, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_15_15, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_60_0_81 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2))))) & ( ~ (all_60_0_81 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0)))
% 82.69/37.08 |
% 82.69/37.08 | Applying alpha-rule on (211) yields:
% 82.69/37.08 | (212) ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.08 | (213) ~ (all_60_0_81 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.08 | (214) ! [v0] : ( ~ (all_60_0_81 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))
% 82.69/37.08 | (215) related(all_0_21_21, all_0_15_15, all_0_15_15) = all_60_0_81
% 82.69/37.08 | (216) ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_60_0_81 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_15_15, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_15_15, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_60_0_81 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2)))))
% 82.69/37.08 |
% 82.69/37.08 | Instantiating formula (216) with all_0_15_15 and discharging atoms element(all_0_15_15, all_0_16_16) = 0, yields:
% 82.69/37.08 | (217) ? [v0] : (in(all_0_15_15, all_0_16_16) = v0 & ! [v1] : ( ~ (v0 = 0) | ~ (all_60_0_81 = 0) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v1) | ? [v2] : (( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v0 = 0) | ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (all_60_0_81 = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))))
% 82.69/37.08 |
% 82.69/37.08 | Instantiating (217) with all_158_0_160 yields:
% 82.69/37.08 | (218) in(all_0_15_15, all_0_16_16) = all_158_0_160 & ! [v0] : ( ~ (all_158_0_160 = 0) | ~ (all_60_0_81 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (all_158_0_160 = 0) | ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_158_0_160 = 0) | ~ (all_60_0_81 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0)))
% 82.69/37.08 |
% 82.69/37.08 | Applying alpha-rule on (218) yields:
% 82.69/37.08 | (219) in(all_0_15_15, all_0_16_16) = all_158_0_160
% 82.69/37.08 | (220) ! [v0] : ( ~ (all_158_0_160 = 0) | ~ (all_60_0_81 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))
% 82.69/37.08 | (221) ~ (all_158_0_160 = 0) | ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.08 | (222) ~ (all_158_0_160 = 0) | ~ (all_60_0_81 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.08 |
% 82.69/37.08 +-Applying beta-rule and splitting (146), into two cases.
% 82.69/37.08 |-Branch one:
% 82.69/37.08 | (223) all_70_0_91 = 0 & all_70_1_92 = 0 & full_subrelstr(all_0_18_18, all_0_21_21) = 0 & subrelstr(all_0_18_18, all_0_21_21) = 0
% 82.69/37.08 |
% 82.69/37.08 | Applying alpha-rule on (223) yields:
% 82.69/37.08 | (224) all_70_0_91 = 0
% 82.69/37.08 | (225) all_70_1_92 = 0
% 82.69/37.08 | (158) full_subrelstr(all_0_18_18, all_0_21_21) = 0
% 82.69/37.08 | (159) subrelstr(all_0_18_18, all_0_21_21) = 0
% 82.69/37.08 |
% 82.69/37.08 +-Applying beta-rule and splitting (149), into two cases.
% 82.69/37.08 |-Branch one:
% 82.69/37.08 | (228) ( ~ (all_73_0_97 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97) | ( ~ (all_73_0_97 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97) | ( ~ (all_73_0_97 = 0) & rel_str(all_0_21_21) = all_73_0_97)
% 82.69/37.08 |
% 82.69/37.08 +-Applying beta-rule and splitting (228), into two cases.
% 82.69/37.08 |-Branch one:
% 82.69/37.08 | (229) ( ~ (all_73_0_97 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97) | ( ~ (all_73_0_97 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97)
% 82.69/37.08 |
% 82.69/37.08 +-Applying beta-rule and splitting (229), into two cases.
% 82.69/37.08 |-Branch one:
% 82.69/37.08 | (230) ~ (all_73_0_97 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97
% 82.69/37.08 |
% 82.69/37.08 | Applying alpha-rule on (230) yields:
% 82.69/37.08 | (231) ~ (all_73_0_97 = 0)
% 82.69/37.08 | (232) full_subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97
% 82.69/37.08 |
% 82.69/37.08 | Instantiating formula (21) with all_0_18_18, all_0_21_21, 0, all_73_0_97 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.69/37.08 | (233) all_73_0_97 = 0
% 82.69/37.08 |
% 82.69/37.08 | Equations (233) can reduce 231 to:
% 82.69/37.08 | (161) $false
% 82.69/37.08 |
% 82.69/37.08 |-The branch is then unsatisfiable
% 82.69/37.08 |-Branch two:
% 82.69/37.08 | (235) ~ (all_73_0_97 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97
% 82.69/37.08 |
% 82.69/37.08 | Applying alpha-rule on (235) yields:
% 82.69/37.08 | (231) ~ (all_73_0_97 = 0)
% 82.69/37.08 | (237) subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97
% 82.69/37.08 |
% 82.69/37.08 | Instantiating formula (51) with all_0_18_18, all_0_21_21, 0, all_73_0_97 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = all_73_0_97, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.69/37.08 | (233) all_73_0_97 = 0
% 82.69/37.08 |
% 82.69/37.08 | Equations (233) can reduce 231 to:
% 82.69/37.08 | (161) $false
% 82.69/37.08 |
% 82.69/37.08 |-The branch is then unsatisfiable
% 82.69/37.08 |-Branch two:
% 82.69/37.08 | (240) ~ (all_73_0_97 = 0) & rel_str(all_0_21_21) = all_73_0_97
% 82.69/37.08 |
% 82.69/37.08 | Applying alpha-rule on (240) yields:
% 82.69/37.08 | (231) ~ (all_73_0_97 = 0)
% 82.69/37.08 | (242) rel_str(all_0_21_21) = all_73_0_97
% 82.69/37.08 |
% 82.69/37.08 | Instantiating formula (45) with all_0_21_21, 0, all_73_0_97 and discharging atoms rel_str(all_0_21_21) = all_73_0_97, rel_str(all_0_21_21) = 0, yields:
% 82.69/37.09 | (233) all_73_0_97 = 0
% 82.69/37.09 |
% 82.69/37.09 | Equations (233) can reduce 231 to:
% 82.69/37.09 | (161) $false
% 82.69/37.09 |
% 82.69/37.09 |-The branch is then unsatisfiable
% 82.69/37.09 |-Branch two:
% 82.69/37.09 | (245) related(all_0_21_21, all_0_14_14, all_0_15_15) = all_73_0_97 & ! [v0] : ( ~ (all_73_0_97 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_15_15) = v0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_73_0_97 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_15_15) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_15_15, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_15_15, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_73_0_97 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_73_0_97 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2))))) & ( ~ (all_73_0_97 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_73_0_97 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0)))
% 82.69/37.09 |
% 82.69/37.09 | Applying alpha-rule on (245) yields:
% 82.69/37.09 | (246) ~ (all_73_0_97 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.09 | (247) ~ (all_73_0_97 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.09 | (248) related(all_0_21_21, all_0_14_14, all_0_15_15) = all_73_0_97
% 82.69/37.09 | (249) ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_73_0_97 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_15_15) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_15_15, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_15_15, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_73_0_97 = 0) | ~ (element(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_73_0_97 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_15_15) = 0) | ( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2)))))
% 82.69/37.09 | (250) ! [v0] : ( ~ (all_73_0_97 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_15_15) = v0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))
% 82.69/37.09 |
% 82.69/37.09 | Instantiating formula (249) with all_0_15_15 and discharging atoms element(all_0_15_15, all_0_16_16) = 0, yields:
% 82.69/37.09 | (251) ? [v0] : (in(all_0_15_15, all_0_16_16) = v0 & ! [v1] : ( ~ (v0 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v1) | ? [v2] : (( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v0 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))))
% 82.69/37.09 |
% 82.69/37.09 | Instantiating (251) with all_173_0_162 yields:
% 82.69/37.09 | (252) in(all_0_15_15, all_0_16_16) = all_173_0_162 & ! [v0] : ( ~ (all_173_0_162 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (all_173_0_162 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_173_0_162 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0)))
% 82.69/37.09 |
% 82.69/37.09 | Applying alpha-rule on (252) yields:
% 82.69/37.09 | (253) in(all_0_15_15, all_0_16_16) = all_173_0_162
% 82.69/37.09 | (254) ! [v0] : ( ~ (all_173_0_162 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))
% 82.69/37.09 | (255) ~ (all_173_0_162 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.09 | (256) ~ (all_173_0_162 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.09 |
% 82.69/37.09 +-Applying beta-rule and splitting (148), into two cases.
% 82.69/37.09 |-Branch one:
% 82.69/37.09 | (257) ( ~ (all_72_0_96 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96) | ( ~ (all_72_0_96 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96) | ( ~ (all_72_0_96 = 0) & rel_str(all_0_21_21) = all_72_0_96)
% 82.69/37.09 |
% 82.69/37.09 +-Applying beta-rule and splitting (257), into two cases.
% 82.69/37.09 |-Branch one:
% 82.69/37.09 | (258) ( ~ (all_72_0_96 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96) | ( ~ (all_72_0_96 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96)
% 82.69/37.09 |
% 82.69/37.09 +-Applying beta-rule and splitting (258), into two cases.
% 82.69/37.09 |-Branch one:
% 82.69/37.09 | (259) ~ (all_72_0_96 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96
% 82.69/37.09 |
% 82.69/37.09 | Applying alpha-rule on (259) yields:
% 82.69/37.09 | (260) ~ (all_72_0_96 = 0)
% 82.69/37.09 | (261) full_subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96
% 82.69/37.09 |
% 82.69/37.09 | Instantiating formula (21) with all_0_18_18, all_0_21_21, 0, all_72_0_96 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.69/37.09 | (262) all_72_0_96 = 0
% 82.69/37.09 |
% 82.69/37.09 | Equations (262) can reduce 260 to:
% 82.69/37.09 | (161) $false
% 82.69/37.09 |
% 82.69/37.09 |-The branch is then unsatisfiable
% 82.69/37.09 |-Branch two:
% 82.69/37.09 | (264) ~ (all_72_0_96 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96
% 82.69/37.09 |
% 82.69/37.09 | Applying alpha-rule on (264) yields:
% 82.69/37.09 | (260) ~ (all_72_0_96 = 0)
% 82.69/37.09 | (266) subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96
% 82.69/37.09 |
% 82.69/37.09 | Instantiating formula (51) with all_0_18_18, all_0_21_21, 0, all_72_0_96 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = all_72_0_96, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.69/37.09 | (262) all_72_0_96 = 0
% 82.69/37.09 |
% 82.69/37.09 | Equations (262) can reduce 260 to:
% 82.69/37.09 | (161) $false
% 82.69/37.09 |
% 82.69/37.09 |-The branch is then unsatisfiable
% 82.69/37.09 |-Branch two:
% 82.69/37.09 | (269) ~ (all_72_0_96 = 0) & rel_str(all_0_21_21) = all_72_0_96
% 82.69/37.09 |
% 82.69/37.09 | Applying alpha-rule on (269) yields:
% 82.69/37.09 | (260) ~ (all_72_0_96 = 0)
% 82.69/37.09 | (271) rel_str(all_0_21_21) = all_72_0_96
% 82.69/37.09 |
% 82.69/37.09 | Instantiating formula (45) with all_0_21_21, 0, all_72_0_96 and discharging atoms rel_str(all_0_21_21) = all_72_0_96, rel_str(all_0_21_21) = 0, yields:
% 82.69/37.09 | (262) all_72_0_96 = 0
% 82.69/37.09 |
% 82.69/37.09 | Equations (262) can reduce 260 to:
% 82.69/37.09 | (161) $false
% 82.69/37.09 |
% 82.69/37.09 |-The branch is then unsatisfiable
% 82.69/37.09 |-Branch two:
% 82.69/37.09 | (274) related(all_0_21_21, all_0_15_15, all_0_14_14) = all_72_0_96 & ! [v0] : ( ~ (all_72_0_96 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_72_0_96 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_14_14, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_14_14, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_72_0_96 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & in(all_0_14_14, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_72_0_96 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2))))) & ( ~ (all_72_0_96 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))) & ( ~ (all_72_0_96 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0)))
% 82.69/37.09 |
% 82.69/37.09 | Applying alpha-rule on (274) yields:
% 82.69/37.09 | (275) ~ (all_72_0_96 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 82.69/37.09 | (276) related(all_0_21_21, all_0_15_15, all_0_14_14) = all_72_0_96
% 82.69/37.09 | (277) ! [v0] : ( ~ (all_72_0_96 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1)))
% 82.69/37.09 | (278) ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_72_0_96 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_14_14, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_14_14, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_72_0_96 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & in(all_0_14_14, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_72_0_96 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2)))))
% 82.69/37.10 | (279) ~ (all_72_0_96 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.10 |
% 82.69/37.10 | Instantiating formula (278) with all_0_15_15 and discharging atoms element(all_0_15_15, all_0_16_16) = 0, yields:
% 82.69/37.10 | (280) ? [v0] : (in(all_0_15_15, all_0_16_16) = v0 & ! [v1] : ( ~ (v0 = 0) | ~ (all_72_0_96 = 0) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v1) | ? [v2] : (( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_14_14, all_0_16_16) = v2))) & ( ~ (v0 = 0) | ~ (all_72_0_96 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (all_72_0_96 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1))))
% 82.69/37.10 |
% 82.69/37.10 | Instantiating (280) with all_192_0_164 yields:
% 82.69/37.10 | (281) in(all_0_15_15, all_0_16_16) = all_192_0_164 & ! [v0] : ( ~ (all_192_0_164 = 0) | ~ (all_72_0_96 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ( ~ (all_192_0_164 = 0) | ~ (all_72_0_96 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))) & ( ~ (all_192_0_164 = 0) | ~ (all_72_0_96 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0)))
% 82.69/37.10 |
% 82.69/37.10 | Applying alpha-rule on (281) yields:
% 82.69/37.10 | (282) in(all_0_15_15, all_0_16_16) = all_192_0_164
% 82.69/37.10 | (283) ! [v0] : ( ~ (all_192_0_164 = 0) | ~ (all_72_0_96 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1)))
% 82.69/37.10 | (284) ~ (all_192_0_164 = 0) | ~ (all_72_0_96 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 82.69/37.10 | (285) ~ (all_192_0_164 = 0) | ~ (all_72_0_96 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0))
% 82.69/37.10 |
% 82.69/37.10 | Instantiating formula (283) with all_0_13_13 and discharging atoms related(all_0_18_18, all_0_15_15, all_0_14_14) = all_0_13_13, yields:
% 82.69/37.10 | (286) ~ (all_192_0_164 = 0) | ~ (all_72_0_96 = 0) | all_0_13_13 = 0 | ? [v0] : (( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 82.69/37.10 |
% 82.69/37.10 +-Applying beta-rule and splitting (152), into two cases.
% 82.69/37.10 |-Branch one:
% 82.69/37.10 | (287) ( ~ (all_80_0_104 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104) | ( ~ (all_80_0_104 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104) | ( ~ (all_80_0_104 = 0) & rel_str(all_0_21_21) = all_80_0_104)
% 82.69/37.10 |
% 82.69/37.10 +-Applying beta-rule and splitting (287), into two cases.
% 82.69/37.10 |-Branch one:
% 82.69/37.10 | (288) ( ~ (all_80_0_104 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104) | ( ~ (all_80_0_104 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104)
% 82.69/37.10 |
% 82.69/37.10 +-Applying beta-rule and splitting (288), into two cases.
% 82.69/37.10 |-Branch one:
% 82.69/37.10 | (289) ~ (all_80_0_104 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104
% 82.69/37.10 |
% 82.69/37.10 | Applying alpha-rule on (289) yields:
% 82.69/37.10 | (290) ~ (all_80_0_104 = 0)
% 82.69/37.10 | (291) full_subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104
% 82.69/37.10 |
% 82.69/37.10 | Instantiating formula (21) with all_0_18_18, all_0_21_21, 0, all_80_0_104 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.69/37.10 | (292) all_80_0_104 = 0
% 82.69/37.10 |
% 82.69/37.10 | Equations (292) can reduce 290 to:
% 82.69/37.10 | (161) $false
% 82.69/37.10 |
% 82.69/37.10 |-The branch is then unsatisfiable
% 82.69/37.10 |-Branch two:
% 82.69/37.10 | (294) ~ (all_80_0_104 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104
% 82.69/37.10 |
% 82.69/37.10 | Applying alpha-rule on (294) yields:
% 82.69/37.10 | (290) ~ (all_80_0_104 = 0)
% 82.69/37.10 | (296) subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104
% 82.69/37.10 |
% 82.69/37.10 | Instantiating formula (51) with all_0_18_18, all_0_21_21, 0, all_80_0_104 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = all_80_0_104, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.69/37.10 | (292) all_80_0_104 = 0
% 82.69/37.10 |
% 82.69/37.10 | Equations (292) can reduce 290 to:
% 82.69/37.10 | (161) $false
% 82.69/37.10 |
% 82.69/37.10 |-The branch is then unsatisfiable
% 82.69/37.10 |-Branch two:
% 82.69/37.10 | (299) ~ (all_80_0_104 = 0) & rel_str(all_0_21_21) = all_80_0_104
% 82.69/37.10 |
% 82.69/37.10 | Applying alpha-rule on (299) yields:
% 82.69/37.10 | (290) ~ (all_80_0_104 = 0)
% 82.69/37.10 | (301) rel_str(all_0_21_21) = all_80_0_104
% 82.69/37.10 |
% 82.69/37.10 | Instantiating formula (45) with all_0_21_21, 0, all_80_0_104 and discharging atoms rel_str(all_0_21_21) = all_80_0_104, rel_str(all_0_21_21) = 0, yields:
% 82.69/37.10 | (292) all_80_0_104 = 0
% 82.69/37.10 |
% 82.69/37.10 | Equations (292) can reduce 290 to:
% 82.69/37.10 | (161) $false
% 82.69/37.10 |
% 82.69/37.10 |-The branch is then unsatisfiable
% 82.69/37.10 |-Branch two:
% 82.69/37.10 | (304) related(all_0_21_21, all_0_14_14, all_0_14_14) = all_80_0_104 & ! [v0] : ( ~ (all_80_0_104 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_14_14) = v0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1))) & ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_80_0_104 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_14_14) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_14_14, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_14_14, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_80_0_104 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v2 = 0) & in(all_0_14_14, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_80_0_104 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2))))) & ( ~ (all_80_0_104 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))) & ( ~ (all_80_0_104 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0)))
% 82.69/37.10 |
% 82.69/37.10 | Applying alpha-rule on (304) yields:
% 82.69/37.10 | (305) ~ (all_80_0_104 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0))
% 82.69/37.10 | (306) related(all_0_21_21, all_0_14_14, all_0_14_14) = all_80_0_104
% 82.69/37.10 | (307) ~ (all_80_0_104 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 82.69/37.10 | (308) ! [v0] : ( ~ (all_80_0_104 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_14_14) = v0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_0_16_16) = v1)))
% 82.69/37.10 | (309) ! [v0] : ( ~ (element(v0, all_0_16_16) = 0) | ? [v1] : (in(v0, all_0_16_16) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_80_0_104 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_14_14, all_0_14_14) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_14_14, all_0_16_16) = v3) | ( ~ (v3 = 0) & in(all_0_14_14, all_0_16_16) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_80_0_104 = 0) | ~ (element(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v2 = 0) & in(all_0_14_14, all_0_16_16) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_14_14) | ~ (all_80_0_104 = 0) | ~ (in(all_0_14_14, all_0_16_16) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_14_14, all_0_14_14) = 0) | ( ~ (v2 = 0) & element(all_0_14_14, all_0_16_16) = v2)))))
% 82.69/37.10 |
% 82.69/37.10 | Instantiating formula (309) with all_0_15_15 and discharging atoms element(all_0_15_15, all_0_16_16) = 0, yields:
% 82.69/37.10 | (310) ? [v0] : (in(all_0_15_15, all_0_16_16) = v0 & ! [v1] : ( ~ (v0 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v1) | ? [v2] : (( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v0 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))))
% 82.69/37.10 |
% 82.69/37.10 | Instantiating (310) with all_207_0_166 yields:
% 82.69/37.10 | (311) in(all_0_15_15, all_0_16_16) = all_207_0_166 & ! [v0] : ( ~ (all_207_0_166 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (all_207_0_166 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_207_0_166 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0)))
% 82.69/37.10 |
% 82.69/37.10 | Applying alpha-rule on (311) yields:
% 82.69/37.10 | (312) in(all_0_15_15, all_0_16_16) = all_207_0_166
% 82.69/37.11 | (313) ! [v0] : ( ~ (all_207_0_166 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))
% 82.69/37.11 | (314) ~ (all_207_0_166 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.11 | (315) ~ (all_207_0_166 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))
% 82.69/37.11 |
% 82.69/37.11 | Instantiating formula (61) with all_0_21_21, all_0_15_15, all_0_14_14, all_72_0_96, 0 and discharging atoms related(all_0_21_21, all_0_15_15, all_0_14_14) = all_72_0_96, related(all_0_21_21, all_0_15_15, all_0_14_14) = 0, yields:
% 82.69/37.11 | (262) all_72_0_96 = 0
% 82.69/37.11 |
% 82.69/37.11 | Instantiating formula (52) with all_0_15_15, all_0_16_16, all_192_0_164, all_207_0_166 and discharging atoms in(all_0_15_15, all_0_16_16) = all_207_0_166, in(all_0_15_15, all_0_16_16) = all_192_0_164, yields:
% 82.69/37.11 | (317) all_207_0_166 = all_192_0_164
% 82.69/37.11 |
% 82.69/37.11 | Instantiating formula (52) with all_0_15_15, all_0_16_16, all_173_0_162, all_192_0_164 and discharging atoms in(all_0_15_15, all_0_16_16) = all_192_0_164, in(all_0_15_15, all_0_16_16) = all_173_0_162, yields:
% 82.69/37.11 | (318) all_192_0_164 = all_173_0_162
% 82.69/37.11 |
% 82.87/37.11 | Instantiating formula (52) with all_0_15_15, all_0_16_16, all_158_0_160, all_173_0_162 and discharging atoms in(all_0_15_15, all_0_16_16) = all_173_0_162, in(all_0_15_15, all_0_16_16) = all_158_0_160, yields:
% 82.87/37.11 | (319) all_173_0_162 = all_158_0_160
% 82.87/37.11 |
% 82.87/37.11 | Instantiating formula (52) with all_0_15_15, all_0_16_16, all_63_0_84, all_207_0_166 and discharging atoms in(all_0_15_15, all_0_16_16) = all_207_0_166, in(all_0_15_15, all_0_16_16) = all_63_0_84, yields:
% 82.87/37.11 | (320) all_207_0_166 = all_63_0_84
% 82.87/37.11 |
% 82.87/37.11 | Combining equations (317,320) yields a new equation:
% 82.87/37.11 | (321) all_192_0_164 = all_63_0_84
% 82.87/37.11 |
% 82.87/37.11 | Simplifying 321 yields:
% 82.87/37.11 | (322) all_192_0_164 = all_63_0_84
% 82.87/37.11 |
% 82.87/37.11 | Combining equations (318,322) yields a new equation:
% 82.87/37.11 | (323) all_173_0_162 = all_63_0_84
% 82.87/37.11 |
% 82.87/37.11 | Simplifying 323 yields:
% 82.87/37.11 | (324) all_173_0_162 = all_63_0_84
% 82.87/37.11 |
% 82.87/37.11 | Combining equations (319,324) yields a new equation:
% 82.87/37.11 | (325) all_158_0_160 = all_63_0_84
% 82.87/37.11 |
% 82.87/37.11 | Simplifying 325 yields:
% 82.87/37.11 | (326) all_158_0_160 = all_63_0_84
% 82.87/37.11 |
% 82.87/37.11 | From (326) and (219) follows:
% 82.87/37.11 | (189) in(all_0_15_15, all_0_16_16) = all_63_0_84
% 82.87/37.11 |
% 82.87/37.11 | Instantiating formula (97) with all_0_15_15, all_80_0_104, all_0_14_14, all_0_14_14, all_0_16_16, all_0_18_18, all_0_19_19, all_0_21_21 and discharging atoms related(all_0_21_21, all_0_14_14, all_0_14_14) = all_80_0_104, the_carrier(all_0_18_18) = all_0_16_16, the_carrier(all_0_21_21) = all_0_19_19, element(all_0_14_14, all_0_19_19) = 0, element(all_0_15_15, all_0_16_16) = 0, yields:
% 82.87/37.11 | (328) ? [v0] : (( ~ (v0 = 0) & element(all_0_14_14, all_0_19_19) = v0) | ( ~ (v0 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & rel_str(all_0_21_21) = v0) | (in(all_0_15_15, all_0_16_16) = v0 & ! [v1] : ( ~ (v0 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v1) | ? [v2] : (( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v0 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))))
% 82.87/37.11 |
% 82.87/37.11 | Instantiating formula (97) with all_0_15_15, all_73_0_97, all_0_15_15, all_0_14_14, all_0_16_16, all_0_18_18, all_0_19_19, all_0_21_21 and discharging atoms related(all_0_21_21, all_0_14_14, all_0_15_15) = all_73_0_97, the_carrier(all_0_18_18) = all_0_16_16, the_carrier(all_0_21_21) = all_0_19_19, element(all_0_14_14, all_0_19_19) = 0, element(all_0_15_15, all_0_16_16) = 0, yields:
% 82.87/37.11 | (329) ? [v0] : (( ~ (v0 = 0) & element(all_0_15_15, all_0_19_19) = v0) | ( ~ (v0 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & rel_str(all_0_21_21) = v0) | (in(all_0_15_15, all_0_16_16) = v0 & ! [v1] : ( ~ (v0 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v1) | ? [v2] : (( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v0 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))))
% 82.87/37.11 |
% 82.87/37.11 | Instantiating formula (97) with all_0_15_15, all_60_0_81, all_0_15_15, all_0_15_15, all_0_16_16, all_0_18_18, all_0_19_19, all_0_21_21 and discharging atoms related(all_0_21_21, all_0_15_15, all_0_15_15) = all_60_0_81, the_carrier(all_0_18_18) = all_0_16_16, the_carrier(all_0_21_21) = all_0_19_19, element(all_0_15_15, all_0_16_16) = 0, element(all_0_15_15, all_0_19_19) = 0, yields:
% 82.87/37.11 | (330) ? [v0] : (( ~ (v0 = 0) & element(all_0_15_15, all_0_19_19) = v0) | ( ~ (v0 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & rel_str(all_0_21_21) = v0) | (in(all_0_15_15, all_0_16_16) = v0 & ! [v1] : ( ~ (v0 = 0) | ~ (all_60_0_81 = 0) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v1) | ? [v2] : (( ~ (v2 = 0) & element(all_0_15_15, all_0_16_16) = v2) | ( ~ (v2 = 0) & in(all_0_15_15, all_0_16_16) = v2))) & ( ~ (v0 = 0) | ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1))) & ( ~ (v0 = 0) | ~ (all_60_0_81 = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))))
% 82.87/37.11 |
% 82.87/37.11 | Instantiating formula (15) with all_0_18_18, all_0_19_19, all_0_21_21 and discharging atoms the_carrier(all_0_21_21) = all_0_19_19, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.87/37.11 | (331) ? [v0] : (( ~ (v0 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & rel_str(all_0_21_21) = v0) | (the_carrier(all_0_18_18) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (related(all_0_21_21, v1, v2) = v3) | ~ (element(v4, v0) = 0) | ~ (element(v1, all_0_19_19) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v2, all_0_19_19) = v5) | (in(v4, v0) = v5 & ! [v6] : ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | v6 = 0 | ~ (related(all_0_18_18, v1, v2) = v6) | ? [v7] : (( ~ (v7 = 0) & element(v2, v0) = v7) | ( ~ (v7 = 0) & in(v2, v0) = v7))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & in(v2, v0) = v6))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & element(v2, v0) = v6)))))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (related(all_0_18_18, v1, v2) = v3) | ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v1, all_0_19_19) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v2, v0) = v4) | ( ~ (v4 = 0) & element(v2, all_0_19_19) = v4) | ( ~ (v4 = 0) & element(v1, v0) = v4) | ( ~ (v4 = 0) & in(v2, v0) = v4))) & ! [v1] : ! [v2] : ( ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v2, v0) = 0) | ~ (element(v1, all_0_19_19) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v3 = 0) & element(v2, all_0_19_19) = v3) | ( ~ (v3 = 0) & element(v1, v0) = v3) | ( ~ (v3 = 0) & in(v2, v0) = v3))) & ! [v1] : ! [v2] : ( ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v1, all_0_19_19) = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v3 = 0) & element(v2, v0) = v3) | ( ~ (v3 = 0) & element(v2, all_0_19_19) = v3) | ( ~ (v3 = 0) & element(v1, v0) = v3))) & ! [v1] : ! [v2] : ( ~ (element(v2, all_0_19_19) = 0) | ~ (element(v1, all_0_19_19) = 0) | ? [v3] : (related(all_0_21_21, v1, v2) = v3 & ! [v4] : ( ~ (v3 = 0) | v4 = 0 | ~ (related(all_0_18_18, v1, v2) = v4) | ~ (in(v1, v0) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v2, v0) = v5) | ( ~ (v5 = 0) & element(v1, v0) = v5) | ( ~ (v5 = 0) & in(v2, v0) = v5))) & ! [v4] : ( ~ (element(v4, v0) = 0) | ? [v5] : (in(v4, v0) = v5 & ! [v6] : ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | v6 = 0 | ~ (related(all_0_18_18, v1, v2) = v6) | ? [v7] : (( ~ (v7 = 0) & element(v2, v0) = v7) | ( ~ (v7 = 0) & in(v2, v0) = v7))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & in(v2, v0) = v6))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & element(v2, v0) = v6))))) & ( ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : ((v4 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v4 = 0) & element(v1, v0) = v4) | ( ~ (v4 = 0) & in(v2, v0) = v4))) & ( ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : ((v4 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v4 = 0) & element(v2, v0) = v4) | ( ~ (v4 = 0) & element(v1, v0) = v4)))))))
% 82.87/37.12 |
% 82.87/37.12 | Instantiating formula (108) with all_0_18_18, all_0_19_19, all_0_21_21 and discharging atoms the_carrier(all_0_21_21) = all_0_19_19, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 82.87/37.12 | (332) ? [v0] : (( ~ (v0 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v0) | ( ~ (v0 = 0) & rel_str(all_0_21_21) = v0) | (the_carrier(all_0_18_18) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (related(all_0_21_21, v1, v2) = v3) | ~ (element(v4, v0) = 0) | ~ (element(v1, all_0_19_19) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v2, all_0_19_19) = v5) | (in(v4, v0) = v5 & ! [v6] : ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | v6 = 0 | ~ (related(all_0_18_18, v1, v2) = v6) | ? [v7] : (( ~ (v7 = 0) & element(v2, v0) = v7) | ( ~ (v7 = 0) & in(v2, v0) = v7))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & in(v2, v0) = v6))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & element(v2, v0) = v6)))))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (related(all_0_18_18, v1, v2) = v3) | ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v1, all_0_19_19) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v2, v0) = v4) | ( ~ (v4 = 0) & element(v2, all_0_19_19) = v4) | ( ~ (v4 = 0) & element(v1, v0) = v4) | ( ~ (v4 = 0) & in(v2, v0) = v4))) & ! [v1] : ! [v2] : ( ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v2, v0) = 0) | ~ (element(v1, all_0_19_19) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v3 = 0) & element(v2, all_0_19_19) = v3) | ( ~ (v3 = 0) & element(v1, v0) = v3) | ( ~ (v3 = 0) & in(v2, v0) = v3))) & ! [v1] : ! [v2] : ( ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v1, all_0_19_19) = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v3 = 0) & element(v2, v0) = v3) | ( ~ (v3 = 0) & element(v2, all_0_19_19) = v3) | ( ~ (v3 = 0) & element(v1, v0) = v3))) & ! [v1] : ! [v2] : ( ~ (element(v2, all_0_19_19) = 0) | ~ (element(v1, all_0_19_19) = 0) | ? [v3] : (related(all_0_21_21, v1, v2) = v3 & ! [v4] : ( ~ (v3 = 0) | v4 = 0 | ~ (related(all_0_18_18, v1, v2) = v4) | ~ (in(v1, v0) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v2, v0) = v5) | ( ~ (v5 = 0) & element(v1, v0) = v5) | ( ~ (v5 = 0) & in(v2, v0) = v5))) & ! [v4] : ( ~ (element(v4, v0) = 0) | ? [v5] : (in(v4, v0) = v5 & ! [v6] : ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | v6 = 0 | ~ (related(all_0_18_18, v1, v2) = v6) | ? [v7] : (( ~ (v7 = 0) & element(v2, v0) = v7) | ( ~ (v7 = 0) & in(v2, v0) = v7))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & in(v2, v0) = v6))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & element(v2, v0) = v6))))) & ( ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : ((v4 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v4 = 0) & element(v1, v0) = v4) | ( ~ (v4 = 0) & in(v2, v0) = v4))) & ( ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : ((v4 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v4 = 0) & element(v2, v0) = v4) | ( ~ (v4 = 0) & element(v1, v0) = v4)))))))
% 82.87/37.12 |
% 82.87/37.12 | Instantiating formula (34) with all_0_18_18, all_0_21_21 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = 0, rel_str(all_0_21_21) = 0, yields:
% 82.87/37.12 | (333) rel_str(all_0_18_18) = 0
% 82.87/37.12 |
% 82.87/37.12 | Instantiating formula (65) with all_0_21_21 and discharging atoms rel_str(all_0_21_21) = 0, yields:
% 82.87/37.12 | (334) ? [v0] : (the_carrier(all_0_21_21) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (related(all_0_21_21, v3, v4) = v5) | ~ (the_carrier(v1) = v2) | ~ (element(v6, v2) = 0) | ~ (element(v3, v0) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v4, v0) = v7) | ( ~ (v7 = 0) & full_subrelstr(v1, all_0_21_21) = v7) | ( ~ (v7 = 0) & subrelstr(v1, all_0_21_21) = v7) | (in(v6, v2) = v7 & ! [v8] : ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | v8 = 0 | ~ (related(v1, v3, v4) = v8) | ? [v9] : (( ~ (v9 = 0) & element(v4, v2) = v9) | ( ~ (v9 = 0) & in(v4, v2) = v9))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (element(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & in(v4, v2) = v8))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (in(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & element(v4, v2) = v8)))))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (related(v1, v3, v4) = v5) | ~ (related(all_0_21_21, v3, v4) = 0) | ~ (the_carrier(v1) = v2) | ~ (element(v3, v0) = 0) | ~ (in(v3, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v4, v2) = v6) | ( ~ (v6 = 0) & element(v4, v0) = v6) | ( ~ (v6 = 0) & element(v3, v2) = v6) | ( ~ (v6 = 0) & full_subrelstr(v1, all_0_21_21) = v6) | ( ~ (v6 = 0) & subrelstr(v1, all_0_21_21) = v6) | ( ~ (v6 = 0) & in(v4, v2) = v6))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (related(all_0_21_21, v3, v4) = 0) | ~ (the_carrier(v1) = v2) | ~ (element(v4, v2) = 0) | ~ (element(v3, v0) = 0) | ~ (in(v3, v2) = 0) | ? [v5] : ((v5 = 0 & related(v1, v3, v4) = 0) | ( ~ (v5 = 0) & element(v4, v0) = v5) | ( ~ (v5 = 0) & element(v3, v2) = v5) | ( ~ (v5 = 0) & full_subrelstr(v1, all_0_21_21) = v5) | ( ~ (v5 = 0) & subrelstr(v1, all_0_21_21) = v5) | ( ~ (v5 = 0) & in(v4, v2) = v5))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (related(all_0_21_21, v3, v4) = 0) | ~ (the_carrier(v1) = v2) | ~ (element(v3, v0) = 0) | ~ (in(v4, v2) = 0) | ~ (in(v3, v2) = 0) | ? [v5] : ((v5 = 0 & related(v1, v3, v4) = 0) | ( ~ (v5 = 0) & element(v4, v2) = v5) | ( ~ (v5 = 0) & element(v4, v0) = v5) | ( ~ (v5 = 0) & element(v3, v2) = v5) | ( ~ (v5 = 0) & full_subrelstr(v1, all_0_21_21) = v5) | ( ~ (v5 = 0) & subrelstr(v1, all_0_21_21) = v5))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (the_carrier(v1) = v2) | ~ (element(v4, v0) = 0) | ~ (element(v3, v0) = 0) | ? [v5] : (( ~ (v5 = 0) & full_subrelstr(v1, all_0_21_21) = v5) | ( ~ (v5 = 0) & subrelstr(v1, all_0_21_21) = v5) | (related(all_0_21_21, v3, v4) = v5 & ! [v6] : ( ~ (v5 = 0) | v6 = 0 | ~ (related(v1, v3, v4) = v6) | ~ (in(v3, v2) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v4, v2) = v7) | ( ~ (v7 = 0) & element(v3, v2) = v7) | ( ~ (v7 = 0) & in(v4, v2) = v7))) & ! [v6] : ( ~ (element(v6, v2) = 0) | ? [v7] : (in(v6, v2) = v7 & ! [v8] : ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | v8 = 0 | ~ (related(v1, v3, v4) = v8) | ? [v9] : (( ~ (v9 = 0) & element(v4, v2) = v9) | ( ~ (v9 = 0) & in(v4, v2) = v9))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (element(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & in(v4, v2) = v8))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (in(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & element(v4, v2) = v8))))) & ( ~ (v5 = 0) | ~ (element(v4, v2) = 0) | ~ (in(v3, v2) = 0) | ? [v6] : ((v6 = 0 & related(v1, v3, v4) = 0) | ( ~ (v6 = 0) & element(v3, v2) = v6) | ( ~ (v6 = 0) & in(v4, v2) = v6))) & ( ~ (v5 = 0) | ~ (in(v4, v2) = 0) | ~ (in(v3, v2) = 0) | ? [v6] : ((v6 = 0 & related(v1, v3, v4) = 0) | ( ~ (v6 = 0) & element(v4, v2) = v6) | ( ~ (v6 = 0) & element(v3, v2) = v6)))))) & ! [v1] : ( ~ (full_subrelstr(v1, all_0_21_21) = 0) | ? [v2] : (( ~ (v2 = 0) & subrelstr(v1, all_0_21_21) = v2) | (the_carrier(v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (related(all_0_21_21, v3, v4) = v5) | ~ (element(v6, v2) = 0) | ~ (element(v3, v0) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v4, v0) = v7) | (in(v6, v2) = v7 & ! [v8] : ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | v8 = 0 | ~ (related(v1, v3, v4) = v8) | ? [v9] : (( ~ (v9 = 0) & element(v4, v2) = v9) | ( ~ (v9 = 0) & in(v4, v2) = v9))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (element(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & in(v4, v2) = v8))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (in(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & element(v4, v2) = v8)))))) & ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (related(v1, v3, v4) = v5) | ~ (related(all_0_21_21, v3, v4) = 0) | ~ (element(v3, v0) = 0) | ~ (in(v3, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v4, v2) = v6) | ( ~ (v6 = 0) & element(v4, v0) = v6) | ( ~ (v6 = 0) & element(v3, v2) = v6) | ( ~ (v6 = 0) & in(v4, v2) = v6))) & ! [v3] : ! [v4] : ( ~ (related(all_0_21_21, v3, v4) = 0) | ~ (element(v4, v2) = 0) | ~ (element(v3, v0) = 0) | ~ (in(v3, v2) = 0) | ? [v5] : ((v5 = 0 & related(v1, v3, v4) = 0) | ( ~ (v5 = 0) & element(v4, v0) = v5) | ( ~ (v5 = 0) & element(v3, v2) = v5) | ( ~ (v5 = 0) & in(v4, v2) = v5))) & ! [v3] : ! [v4] : ( ~ (related(all_0_21_21, v3, v4) = 0) | ~ (element(v3, v0) = 0) | ~ (in(v4, v2) = 0) | ~ (in(v3, v2) = 0) | ? [v5] : ((v5 = 0 & related(v1, v3, v4) = 0) | ( ~ (v5 = 0) & element(v4, v2) = v5) | ( ~ (v5 = 0) & element(v4, v0) = v5) | ( ~ (v5 = 0) & element(v3, v2) = v5))) & ! [v3] : ! [v4] : ( ~ (element(v4, v0) = 0) | ~ (element(v3, v0) = 0) | ? [v5] : (related(all_0_21_21, v3, v4) = v5 & ! [v6] : ( ~ (v5 = 0) | v6 = 0 | ~ (related(v1, v3, v4) = v6) | ~ (in(v3, v2) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v4, v2) = v7) | ( ~ (v7 = 0) & element(v3, v2) = v7) | ( ~ (v7 = 0) & in(v4, v2) = v7))) & ! [v6] : ( ~ (element(v6, v2) = 0) | ? [v7] : (in(v6, v2) = v7 & ! [v8] : ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | v8 = 0 | ~ (related(v1, v3, v4) = v8) | ? [v9] : (( ~ (v9 = 0) & element(v4, v2) = v9) | ( ~ (v9 = 0) & in(v4, v2) = v9))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (element(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & in(v4, v2) = v8))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (in(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & element(v4, v2) = v8))))) & ( ~ (v5 = 0) | ~ (element(v4, v2) = 0) | ~ (in(v3, v2) = 0) | ? [v6] : ((v6 = 0 & related(v1, v3, v4) = 0) | ( ~ (v6 = 0) & element(v3, v2) = v6) | ( ~ (v6 = 0) & in(v4, v2) = v6))) & ( ~ (v5 = 0) | ~ (in(v4, v2) = 0) | ~ (in(v3, v2) = 0) | ? [v6] : ((v6 = 0 & related(v1, v3, v4) = 0) | ( ~ (v6 = 0) & element(v4, v2) = v6) | ( ~ (v6 = 0) & element(v3, v2) = v6)))))))) & ! [v1] : ( ~ (subrelstr(v1, all_0_21_21) = 0) | ? [v2] : (( ~ (v2 = 0) & full_subrelstr(v1, all_0_21_21) = v2) | (the_carrier(v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (related(all_0_21_21, v3, v4) = v5) | ~ (element(v6, v2) = 0) | ~ (element(v3, v0) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v4, v0) = v7) | (in(v6, v2) = v7 & ! [v8] : ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | v8 = 0 | ~ (related(v1, v3, v4) = v8) | ? [v9] : (( ~ (v9 = 0) & element(v4, v2) = v9) | ( ~ (v9 = 0) & in(v4, v2) = v9))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (element(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & in(v4, v2) = v8))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (in(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & element(v4, v2) = v8)))))) & ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (related(v1, v3, v4) = v5) | ~ (related(all_0_21_21, v3, v4) = 0) | ~ (element(v3, v0) = 0) | ~ (in(v3, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v4, v2) = v6) | ( ~ (v6 = 0) & element(v4, v0) = v6) | ( ~ (v6 = 0) & element(v3, v2) = v6) | ( ~ (v6 = 0) & in(v4, v2) = v6))) & ! [v3] : ! [v4] : ( ~ (related(all_0_21_21, v3, v4) = 0) | ~ (element(v4, v2) = 0) | ~ (element(v3, v0) = 0) | ~ (in(v3, v2) = 0) | ? [v5] : ((v5 = 0 & related(v1, v3, v4) = 0) | ( ~ (v5 = 0) & element(v4, v0) = v5) | ( ~ (v5 = 0) & element(v3, v2) = v5) | ( ~ (v5 = 0) & in(v4, v2) = v5))) & ! [v3] : ! [v4] : ( ~ (related(all_0_21_21, v3, v4) = 0) | ~ (element(v3, v0) = 0) | ~ (in(v4, v2) = 0) | ~ (in(v3, v2) = 0) | ? [v5] : ((v5 = 0 & related(v1, v3, v4) = 0) | ( ~ (v5 = 0) & element(v4, v2) = v5) | ( ~ (v5 = 0) & element(v4, v0) = v5) | ( ~ (v5 = 0) & element(v3, v2) = v5))) & ! [v3] : ! [v4] : ( ~ (element(v4, v0) = 0) | ~ (element(v3, v0) = 0) | ? [v5] : (related(all_0_21_21, v3, v4) = v5 & ! [v6] : ( ~ (v5 = 0) | v6 = 0 | ~ (related(v1, v3, v4) = v6) | ~ (in(v3, v2) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v4, v2) = v7) | ( ~ (v7 = 0) & element(v3, v2) = v7) | ( ~ (v7 = 0) & in(v4, v2) = v7))) & ! [v6] : ( ~ (element(v6, v2) = 0) | ? [v7] : (in(v6, v2) = v7 & ! [v8] : ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | v8 = 0 | ~ (related(v1, v3, v4) = v8) | ? [v9] : (( ~ (v9 = 0) & element(v4, v2) = v9) | ( ~ (v9 = 0) & in(v4, v2) = v9))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (element(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & in(v4, v2) = v8))) & ( ~ (v7 = 0) | ~ (v6 = v3) | ~ (v5 = 0) | ~ (in(v4, v2) = 0) | ? [v8] : ((v8 = 0 & related(v1, v3, v4) = 0) | ( ~ (v8 = 0) & element(v4, v2) = v8))))) & ( ~ (v5 = 0) | ~ (element(v4, v2) = 0) | ~ (in(v3, v2) = 0) | ? [v6] : ((v6 = 0 & related(v1, v3, v4) = 0) | ( ~ (v6 = 0) & element(v3, v2) = v6) | ( ~ (v6 = 0) & in(v4, v2) = v6))) & ( ~ (v5 = 0) | ~ (in(v4, v2) = 0) | ~ (in(v3, v2) = 0) | ? [v6] : ((v6 = 0 & related(v1, v3, v4) = 0) | ( ~ (v6 = 0) & element(v4, v2) = v6) | ( ~ (v6 = 0) & element(v3, v2) = v6)))))))))
% 82.87/37.13 |
% 82.87/37.13 | Instantiating (332) with all_240_0_173 yields:
% 82.87/37.13 | (335) ( ~ (all_240_0_173 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_240_0_173) | ( ~ (all_240_0_173 = 0) & rel_str(all_0_21_21) = all_240_0_173) | (the_carrier(all_0_18_18) = all_240_0_173 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_240_0_173) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_0_19_19) = v4) | (in(v3, all_240_0_173) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_240_0_173) = v6) | ( ~ (v6 = 0) & in(v1, all_240_0_173) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_240_0_173) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_240_0_173) = v5)))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_240_0_173) = v3) | ( ~ (v3 = 0) & element(v1, all_0_19_19) = v3) | ( ~ (v3 = 0) & element(v0, all_240_0_173) = v3) | ( ~ (v3 = 0) & in(v1, all_240_0_173) = v3))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_240_0_173) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_240_0_173) = v2) | ( ~ (v2 = 0) & in(v1, all_240_0_173) = v2))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v1, all_240_0_173) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_240_0_173) = v2) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_240_0_173) = v2))) & ! [v0] : ! [v1] : ( ~ (element(v1, all_0_19_19) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_240_0_173) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_240_0_173) = v4) | ( ~ (v4 = 0) & element(v0, all_240_0_173) = v4) | ( ~ (v4 = 0) & in(v1, all_240_0_173) = v4))) & ! [v3] : ( ~ (element(v3, all_240_0_173) = 0) | ? [v4] : (in(v3, all_240_0_173) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_240_0_173) = v6) | ( ~ (v6 = 0) & in(v1, all_240_0_173) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_240_0_173) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_240_0_173) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_240_0_173) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_240_0_173) = v3) | ( ~ (v3 = 0) & in(v1, all_240_0_173) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_240_0_173) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_240_0_173) = v3) | ( ~ (v3 = 0) & element(v0, all_240_0_173) = v3))))))
% 82.87/37.14 |
% 82.87/37.14 | Instantiating (331) with all_245_0_177 yields:
% 82.87/37.14 | (336) ( ~ (all_245_0_177 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_245_0_177) | ( ~ (all_245_0_177 = 0) & rel_str(all_0_21_21) = all_245_0_177) | (the_carrier(all_0_18_18) = all_245_0_177 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_245_0_177) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_0_19_19) = v4) | (in(v3, all_245_0_177) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_245_0_177) = v6) | ( ~ (v6 = 0) & in(v1, all_245_0_177) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_245_0_177) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_245_0_177) = v5)))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_245_0_177) = v3) | ( ~ (v3 = 0) & element(v1, all_0_19_19) = v3) | ( ~ (v3 = 0) & element(v0, all_245_0_177) = v3) | ( ~ (v3 = 0) & in(v1, all_245_0_177) = v3))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_245_0_177) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_245_0_177) = v2) | ( ~ (v2 = 0) & in(v1, all_245_0_177) = v2))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v1, all_245_0_177) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_245_0_177) = v2) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_245_0_177) = v2))) & ! [v0] : ! [v1] : ( ~ (element(v1, all_0_19_19) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_245_0_177) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_245_0_177) = v4) | ( ~ (v4 = 0) & element(v0, all_245_0_177) = v4) | ( ~ (v4 = 0) & in(v1, all_245_0_177) = v4))) & ! [v3] : ( ~ (element(v3, all_245_0_177) = 0) | ? [v4] : (in(v3, all_245_0_177) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_245_0_177) = v6) | ( ~ (v6 = 0) & in(v1, all_245_0_177) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_245_0_177) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_245_0_177) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_245_0_177) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_245_0_177) = v3) | ( ~ (v3 = 0) & in(v1, all_245_0_177) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_245_0_177) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_245_0_177) = v3) | ( ~ (v3 = 0) & element(v0, all_245_0_177) = v3))))))
% 82.87/37.14 |
% 82.87/37.14 | Instantiating (334) with all_248_0_182 yields:
% 82.87/37.14 | (337) the_carrier(all_0_21_21) = all_248_0_182 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(all_0_21_21, v2, v3) = v4) | ~ (the_carrier(v0) = v1) | ~ (element(v5, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, all_248_0_182) = v6) | ( ~ (v6 = 0) & full_subrelstr(v0, all_0_21_21) = v6) | ( ~ (v6 = 0) & subrelstr(v0, all_0_21_21) = v6) | (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (related(v0, v2, v3) = v4) | ~ (related(all_0_21_21, v2, v3) = 0) | ~ (the_carrier(v0) = v1) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v3, all_248_0_182) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & full_subrelstr(v0, all_0_21_21) = v5) | ( ~ (v5 = 0) & subrelstr(v0, all_0_21_21) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (the_carrier(v0) = v1) | ~ (element(v3, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4) | ( ~ (v4 = 0) & full_subrelstr(v0, all_0_21_21) = v4) | ( ~ (v4 = 0) & subrelstr(v0, all_0_21_21) = v4) | ( ~ (v4 = 0) & in(v3, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (the_carrier(v0) = v1) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, v1) = v4) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4) | ( ~ (v4 = 0) & full_subrelstr(v0, all_0_21_21) = v4) | ( ~ (v4 = 0) & subrelstr(v0, all_0_21_21) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v1) | ~ (element(v3, all_248_0_182) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v4] : (( ~ (v4 = 0) & full_subrelstr(v0, all_0_21_21) = v4) | ( ~ (v4 = 0) & subrelstr(v0, all_0_21_21) = v4) | (related(all_0_21_21, v2, v3) = v4 & ! [v5] : ( ~ (v4 = 0) | v5 = 0 | ~ (related(v0, v2, v3) = v5) | ~ (in(v2, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, v1) = v6) | ( ~ (v6 = 0) & element(v2, v1) = v6) | ( ~ (v6 = 0) & in(v3, v1) = v6))) & ! [v5] : ( ~ (element(v5, v1) = 0) | ? [v6] : (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7))))) & ( ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ( ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5)))))) & ! [v0] : ( ~ (full_subrelstr(v0, all_0_21_21) = 0) | ? [v1] : (( ~ (v1 = 0) & subrelstr(v0, all_0_21_21) = v1) | (the_carrier(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(all_0_21_21, v2, v3) = v4) | ~ (element(v5, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, all_248_0_182) = v6) | (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7)))))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (related(v0, v2, v3) = v4) | ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v3, all_248_0_182) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v3, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4) | ( ~ (v4 = 0) & in(v3, v1) = v4))) & ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, v1) = v4) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4))) & ! [v2] : ! [v3] : ( ~ (element(v3, all_248_0_182) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v4] : (related(all_0_21_21, v2, v3) = v4 & ! [v5] : ( ~ (v4 = 0) | v5 = 0 | ~ (related(v0, v2, v3) = v5) | ~ (in(v2, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, v1) = v6) | ( ~ (v6 = 0) & element(v2, v1) = v6) | ( ~ (v6 = 0) & in(v3, v1) = v6))) & ! [v5] : ( ~ (element(v5, v1) = 0) | ? [v6] : (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7))))) & ( ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ( ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5)))))))) & ! [v0] : ( ~ (subrelstr(v0, all_0_21_21) = 0) | ? [v1] : (( ~ (v1 = 0) & full_subrelstr(v0, all_0_21_21) = v1) | (the_carrier(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(all_0_21_21, v2, v3) = v4) | ~ (element(v5, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, all_248_0_182) = v6) | (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7)))))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (related(v0, v2, v3) = v4) | ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v3, all_248_0_182) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v3, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4) | ( ~ (v4 = 0) & in(v3, v1) = v4))) & ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, v1) = v4) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4))) & ! [v2] : ! [v3] : ( ~ (element(v3, all_248_0_182) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v4] : (related(all_0_21_21, v2, v3) = v4 & ! [v5] : ( ~ (v4 = 0) | v5 = 0 | ~ (related(v0, v2, v3) = v5) | ~ (in(v2, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, v1) = v6) | ( ~ (v6 = 0) & element(v2, v1) = v6) | ( ~ (v6 = 0) & in(v3, v1) = v6))) & ! [v5] : ( ~ (element(v5, v1) = 0) | ? [v6] : (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7))))) & ( ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ( ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5))))))))
% 83.02/37.16 |
% 83.02/37.16 | Applying alpha-rule on (337) yields:
% 83.02/37.16 | (338) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (related(v0, v2, v3) = v4) | ~ (related(all_0_21_21, v2, v3) = 0) | ~ (the_carrier(v0) = v1) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v3, all_248_0_182) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & full_subrelstr(v0, all_0_21_21) = v5) | ( ~ (v5 = 0) & subrelstr(v0, all_0_21_21) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5)))
% 83.02/37.16 | (339) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (the_carrier(v0) = v1) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, v1) = v4) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4) | ( ~ (v4 = 0) & full_subrelstr(v0, all_0_21_21) = v4) | ( ~ (v4 = 0) & subrelstr(v0, all_0_21_21) = v4)))
% 83.02/37.16 | (340) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(all_0_21_21, v2, v3) = v4) | ~ (the_carrier(v0) = v1) | ~ (element(v5, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, all_248_0_182) = v6) | ( ~ (v6 = 0) & full_subrelstr(v0, all_0_21_21) = v6) | ( ~ (v6 = 0) & subrelstr(v0, all_0_21_21) = v6) | (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7))))))
% 83.02/37.16 | (341) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (the_carrier(v0) = v1) | ~ (element(v3, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4) | ( ~ (v4 = 0) & full_subrelstr(v0, all_0_21_21) = v4) | ( ~ (v4 = 0) & subrelstr(v0, all_0_21_21) = v4) | ( ~ (v4 = 0) & in(v3, v1) = v4)))
% 83.02/37.16 | (342) ! [v0] : ( ~ (full_subrelstr(v0, all_0_21_21) = 0) | ? [v1] : (( ~ (v1 = 0) & subrelstr(v0, all_0_21_21) = v1) | (the_carrier(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(all_0_21_21, v2, v3) = v4) | ~ (element(v5, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, all_248_0_182) = v6) | (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7)))))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (related(v0, v2, v3) = v4) | ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v3, all_248_0_182) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v3, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4) | ( ~ (v4 = 0) & in(v3, v1) = v4))) & ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, v1) = v4) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4))) & ! [v2] : ! [v3] : ( ~ (element(v3, all_248_0_182) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v4] : (related(all_0_21_21, v2, v3) = v4 & ! [v5] : ( ~ (v4 = 0) | v5 = 0 | ~ (related(v0, v2, v3) = v5) | ~ (in(v2, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, v1) = v6) | ( ~ (v6 = 0) & element(v2, v1) = v6) | ( ~ (v6 = 0) & in(v3, v1) = v6))) & ! [v5] : ( ~ (element(v5, v1) = 0) | ? [v6] : (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7))))) & ( ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ( ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5))))))))
% 83.02/37.16 | (343) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v1) | ~ (element(v3, all_248_0_182) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v4] : (( ~ (v4 = 0) & full_subrelstr(v0, all_0_21_21) = v4) | ( ~ (v4 = 0) & subrelstr(v0, all_0_21_21) = v4) | (related(all_0_21_21, v2, v3) = v4 & ! [v5] : ( ~ (v4 = 0) | v5 = 0 | ~ (related(v0, v2, v3) = v5) | ~ (in(v2, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, v1) = v6) | ( ~ (v6 = 0) & element(v2, v1) = v6) | ( ~ (v6 = 0) & in(v3, v1) = v6))) & ! [v5] : ( ~ (element(v5, v1) = 0) | ? [v6] : (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7))))) & ( ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ( ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5))))))
% 83.02/37.17 | (344) ! [v0] : ( ~ (subrelstr(v0, all_0_21_21) = 0) | ? [v1] : (( ~ (v1 = 0) & full_subrelstr(v0, all_0_21_21) = v1) | (the_carrier(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (related(all_0_21_21, v2, v3) = v4) | ~ (element(v5, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, all_248_0_182) = v6) | (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7)))))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (related(v0, v2, v3) = v4) | ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v3, all_248_0_182) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v3, v1) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4) | ( ~ (v4 = 0) & in(v3, v1) = v4))) & ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v2, v3) = 0) | ~ (element(v2, all_248_0_182) = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v4] : ((v4 = 0 & related(v0, v2, v3) = 0) | ( ~ (v4 = 0) & element(v3, v1) = v4) | ( ~ (v4 = 0) & element(v3, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v2, v1) = v4))) & ! [v2] : ! [v3] : ( ~ (element(v3, all_248_0_182) = 0) | ~ (element(v2, all_248_0_182) = 0) | ? [v4] : (related(all_0_21_21, v2, v3) = v4 & ! [v5] : ( ~ (v4 = 0) | v5 = 0 | ~ (related(v0, v2, v3) = v5) | ~ (in(v2, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & element(v3, v1) = v6) | ( ~ (v6 = 0) & element(v2, v1) = v6) | ( ~ (v6 = 0) & in(v3, v1) = v6))) & ! [v5] : ( ~ (element(v5, v1) = 0) | ? [v6] : (in(v5, v1) = v6 & ! [v7] : ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | v7 = 0 | ~ (related(v0, v2, v3) = v7) | ? [v8] : (( ~ (v8 = 0) & element(v3, v1) = v8) | ( ~ (v8 = 0) & in(v3, v1) = v8))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & in(v3, v1) = v7))) & ( ~ (v6 = 0) | ~ (v5 = v2) | ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ? [v7] : ((v7 = 0 & related(v0, v2, v3) = 0) | ( ~ (v7 = 0) & element(v3, v1) = v7))))) & ( ~ (v4 = 0) | ~ (element(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v2, v1) = v5) | ( ~ (v5 = 0) & in(v3, v1) = v5))) & ( ~ (v4 = 0) | ~ (in(v3, v1) = 0) | ~ (in(v2, v1) = 0) | ? [v5] : ((v5 = 0 & related(v0, v2, v3) = 0) | ( ~ (v5 = 0) & element(v3, v1) = v5) | ( ~ (v5 = 0) & element(v2, v1) = v5))))))))
% 83.02/37.17 | (345) the_carrier(all_0_21_21) = all_248_0_182
% 83.02/37.17 |
% 83.02/37.17 | Instantiating formula (342) with all_0_18_18 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.02/37.17 | (346) ? [v0] : (( ~ (v0 = 0) & subrelstr(all_0_18_18, all_0_21_21) = v0) | (the_carrier(all_0_18_18) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (related(all_0_21_21, v1, v2) = v3) | ~ (element(v4, v0) = 0) | ~ (element(v1, all_248_0_182) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v2, all_248_0_182) = v5) | (in(v4, v0) = v5 & ! [v6] : ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | v6 = 0 | ~ (related(all_0_18_18, v1, v2) = v6) | ? [v7] : (( ~ (v7 = 0) & element(v2, v0) = v7) | ( ~ (v7 = 0) & in(v2, v0) = v7))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & in(v2, v0) = v6))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & element(v2, v0) = v6)))))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (related(all_0_18_18, v1, v2) = v3) | ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v1, all_248_0_182) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v2, v0) = v4) | ( ~ (v4 = 0) & element(v2, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v1, v0) = v4) | ( ~ (v4 = 0) & in(v2, v0) = v4))) & ! [v1] : ! [v2] : ( ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v2, v0) = 0) | ~ (element(v1, all_248_0_182) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v3 = 0) & element(v2, all_248_0_182) = v3) | ( ~ (v3 = 0) & element(v1, v0) = v3) | ( ~ (v3 = 0) & in(v2, v0) = v3))) & ! [v1] : ! [v2] : ( ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v1, all_248_0_182) = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v3 = 0) & element(v2, v0) = v3) | ( ~ (v3 = 0) & element(v2, all_248_0_182) = v3) | ( ~ (v3 = 0) & element(v1, v0) = v3))) & ! [v1] : ! [v2] : ( ~ (element(v2, all_248_0_182) = 0) | ~ (element(v1, all_248_0_182) = 0) | ? [v3] : (related(all_0_21_21, v1, v2) = v3 & ! [v4] : ( ~ (v3 = 0) | v4 = 0 | ~ (related(all_0_18_18, v1, v2) = v4) | ~ (in(v1, v0) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v2, v0) = v5) | ( ~ (v5 = 0) & element(v1, v0) = v5) | ( ~ (v5 = 0) & in(v2, v0) = v5))) & ! [v4] : ( ~ (element(v4, v0) = 0) | ? [v5] : (in(v4, v0) = v5 & ! [v6] : ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | v6 = 0 | ~ (related(all_0_18_18, v1, v2) = v6) | ? [v7] : (( ~ (v7 = 0) & element(v2, v0) = v7) | ( ~ (v7 = 0) & in(v2, v0) = v7))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & in(v2, v0) = v6))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & element(v2, v0) = v6))))) & ( ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : ((v4 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v4 = 0) & element(v1, v0) = v4) | ( ~ (v4 = 0) & in(v2, v0) = v4))) & ( ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : ((v4 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v4 = 0) & element(v2, v0) = v4) | ( ~ (v4 = 0) & element(v1, v0) = v4)))))))
% 83.02/37.17 |
% 83.02/37.17 | Instantiating formula (344) with all_0_18_18 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.02/37.17 | (347) ? [v0] : (( ~ (v0 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = v0) | (the_carrier(all_0_18_18) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (related(all_0_21_21, v1, v2) = v3) | ~ (element(v4, v0) = 0) | ~ (element(v1, all_248_0_182) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v2, all_248_0_182) = v5) | (in(v4, v0) = v5 & ! [v6] : ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | v6 = 0 | ~ (related(all_0_18_18, v1, v2) = v6) | ? [v7] : (( ~ (v7 = 0) & element(v2, v0) = v7) | ( ~ (v7 = 0) & in(v2, v0) = v7))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & in(v2, v0) = v6))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & element(v2, v0) = v6)))))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (related(all_0_18_18, v1, v2) = v3) | ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v1, all_248_0_182) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v2, v0) = v4) | ( ~ (v4 = 0) & element(v2, all_248_0_182) = v4) | ( ~ (v4 = 0) & element(v1, v0) = v4) | ( ~ (v4 = 0) & in(v2, v0) = v4))) & ! [v1] : ! [v2] : ( ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v2, v0) = 0) | ~ (element(v1, all_248_0_182) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v3 = 0) & element(v2, all_248_0_182) = v3) | ( ~ (v3 = 0) & element(v1, v0) = v3) | ( ~ (v3 = 0) & in(v2, v0) = v3))) & ! [v1] : ! [v2] : ( ~ (related(all_0_21_21, v1, v2) = 0) | ~ (element(v1, all_248_0_182) = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v3 = 0) & element(v2, v0) = v3) | ( ~ (v3 = 0) & element(v2, all_248_0_182) = v3) | ( ~ (v3 = 0) & element(v1, v0) = v3))) & ! [v1] : ! [v2] : ( ~ (element(v2, all_248_0_182) = 0) | ~ (element(v1, all_248_0_182) = 0) | ? [v3] : (related(all_0_21_21, v1, v2) = v3 & ! [v4] : ( ~ (v3 = 0) | v4 = 0 | ~ (related(all_0_18_18, v1, v2) = v4) | ~ (in(v1, v0) = 0) | ? [v5] : (( ~ (v5 = 0) & element(v2, v0) = v5) | ( ~ (v5 = 0) & element(v1, v0) = v5) | ( ~ (v5 = 0) & in(v2, v0) = v5))) & ! [v4] : ( ~ (element(v4, v0) = 0) | ? [v5] : (in(v4, v0) = v5 & ! [v6] : ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | v6 = 0 | ~ (related(all_0_18_18, v1, v2) = v6) | ? [v7] : (( ~ (v7 = 0) & element(v2, v0) = v7) | ( ~ (v7 = 0) & in(v2, v0) = v7))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & in(v2, v0) = v6))) & ( ~ (v5 = 0) | ~ (v4 = v1) | ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ? [v6] : ((v6 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v6 = 0) & element(v2, v0) = v6))))) & ( ~ (v3 = 0) | ~ (element(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : ((v4 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v4 = 0) & element(v1, v0) = v4) | ( ~ (v4 = 0) & in(v2, v0) = v4))) & ( ~ (v3 = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v4] : ((v4 = 0 & related(all_0_18_18, v1, v2) = 0) | ( ~ (v4 = 0) & element(v2, v0) = v4) | ( ~ (v4 = 0) & element(v1, v0) = v4)))))))
% 83.02/37.18 |
% 83.02/37.18 | Instantiating (329) with all_262_0_196 yields:
% 83.02/37.18 | (348) ( ~ (all_262_0_196 = 0) & element(all_0_15_15, all_0_19_19) = all_262_0_196) | ( ~ (all_262_0_196 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196) | ( ~ (all_262_0_196 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196) | ( ~ (all_262_0_196 = 0) & rel_str(all_0_21_21) = all_262_0_196) | (in(all_0_15_15, all_0_16_16) = all_262_0_196 & ! [v0] : ( ~ (all_262_0_196 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (all_262_0_196 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_262_0_196 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))))
% 83.02/37.18 |
% 83.02/37.18 | Instantiating (328) with all_266_0_200 yields:
% 83.02/37.18 | (349) ( ~ (all_266_0_200 = 0) & element(all_0_14_14, all_0_19_19) = all_266_0_200) | ( ~ (all_266_0_200 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200) | ( ~ (all_266_0_200 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200) | ( ~ (all_266_0_200 = 0) & rel_str(all_0_21_21) = all_266_0_200) | (in(all_0_15_15, all_0_16_16) = all_266_0_200 & ! [v0] : ( ~ (all_266_0_200 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (all_266_0_200 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_266_0_200 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))))
% 83.02/37.18 |
% 83.02/37.18 | Instantiating (330) with all_269_0_203 yields:
% 83.02/37.18 | (350) ( ~ (all_269_0_203 = 0) & element(all_0_15_15, all_0_19_19) = all_269_0_203) | ( ~ (all_269_0_203 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203) | ( ~ (all_269_0_203 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203) | ( ~ (all_269_0_203 = 0) & rel_str(all_0_21_21) = all_269_0_203) | (in(all_0_15_15, all_0_16_16) = all_269_0_203 & ! [v0] : ( ~ (all_269_0_203 = 0) | ~ (all_60_0_81 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (all_269_0_203 = 0) | ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_269_0_203 = 0) | ~ (all_60_0_81 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))))
% 83.02/37.18 |
% 83.02/37.18 | Instantiating (347) with all_283_0_219 yields:
% 83.02/37.18 | (351) ( ~ (all_283_0_219 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_283_0_219) | (the_carrier(all_0_18_18) = all_283_0_219 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_283_0_219) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_248_0_182) = v4) | (in(v3, all_283_0_219) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_283_0_219) = v6) | ( ~ (v6 = 0) & in(v1, all_283_0_219) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_283_0_219) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_283_0_219) = v5)))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_283_0_219) = v3) | ( ~ (v3 = 0) & element(v1, all_248_0_182) = v3) | ( ~ (v3 = 0) & element(v0, all_283_0_219) = v3) | ( ~ (v3 = 0) & in(v1, all_283_0_219) = v3))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_283_0_219) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_283_0_219) = v2) | ( ~ (v2 = 0) & in(v1, all_283_0_219) = v2))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v1, all_283_0_219) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_283_0_219) = v2) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_283_0_219) = v2))) & ! [v0] : ! [v1] : ( ~ (element(v1, all_248_0_182) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_283_0_219) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_283_0_219) = v4) | ( ~ (v4 = 0) & element(v0, all_283_0_219) = v4) | ( ~ (v4 = 0) & in(v1, all_283_0_219) = v4))) & ! [v3] : ( ~ (element(v3, all_283_0_219) = 0) | ? [v4] : (in(v3, all_283_0_219) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_283_0_219) = v6) | ( ~ (v6 = 0) & in(v1, all_283_0_219) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_283_0_219) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_283_0_219) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_283_0_219) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_283_0_219) = v3) | ( ~ (v3 = 0) & in(v1, all_283_0_219) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_283_0_219) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_283_0_219) = v3) | ( ~ (v3 = 0) & element(v0, all_283_0_219) = v3))))))
% 83.02/37.18 |
% 83.02/37.18 | Instantiating (346) with all_284_0_220 yields:
% 83.02/37.18 | (352) ( ~ (all_284_0_220 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_284_0_220) | (the_carrier(all_0_18_18) = all_284_0_220 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_284_0_220) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_248_0_182) = v4) | (in(v3, all_284_0_220) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_284_0_220) = v6) | ( ~ (v6 = 0) & in(v1, all_284_0_220) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_284_0_220) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_284_0_220) = v5)))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_284_0_220) = v3) | ( ~ (v3 = 0) & element(v1, all_248_0_182) = v3) | ( ~ (v3 = 0) & element(v0, all_284_0_220) = v3) | ( ~ (v3 = 0) & in(v1, all_284_0_220) = v3))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_284_0_220) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_284_0_220) = v2) | ( ~ (v2 = 0) & in(v1, all_284_0_220) = v2))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v1, all_284_0_220) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_284_0_220) = v2) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_284_0_220) = v2))) & ! [v0] : ! [v1] : ( ~ (element(v1, all_248_0_182) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_284_0_220) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_284_0_220) = v4) | ( ~ (v4 = 0) & element(v0, all_284_0_220) = v4) | ( ~ (v4 = 0) & in(v1, all_284_0_220) = v4))) & ! [v3] : ( ~ (element(v3, all_284_0_220) = 0) | ? [v4] : (in(v3, all_284_0_220) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_284_0_220) = v6) | ( ~ (v6 = 0) & in(v1, all_284_0_220) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_284_0_220) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_284_0_220) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_284_0_220) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_284_0_220) = v3) | ( ~ (v3 = 0) & in(v1, all_284_0_220) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_284_0_220) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_284_0_220) = v3) | ( ~ (v3 = 0) & element(v0, all_284_0_220) = v3))))))
% 83.02/37.19 |
% 83.02/37.19 +-Applying beta-rule and splitting (335), into two cases.
% 83.02/37.19 |-Branch one:
% 83.02/37.19 | (353) ( ~ (all_240_0_173 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_240_0_173) | ( ~ (all_240_0_173 = 0) & rel_str(all_0_21_21) = all_240_0_173)
% 83.02/37.19 |
% 83.02/37.19 +-Applying beta-rule and splitting (353), into two cases.
% 83.02/37.19 |-Branch one:
% 83.02/37.19 | (354) ~ (all_240_0_173 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_240_0_173
% 83.02/37.19 |
% 83.02/37.19 | Applying alpha-rule on (354) yields:
% 83.02/37.19 | (355) ~ (all_240_0_173 = 0)
% 83.02/37.19 | (356) full_subrelstr(all_0_18_18, all_0_21_21) = all_240_0_173
% 83.02/37.19 |
% 83.02/37.19 | Instantiating formula (21) with all_0_18_18, all_0_21_21, all_240_0_173, 0 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = all_240_0_173, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.02/37.19 | (357) all_240_0_173 = 0
% 83.02/37.19 |
% 83.02/37.19 | Equations (357) can reduce 355 to:
% 83.02/37.19 | (161) $false
% 83.02/37.19 |
% 83.02/37.19 |-The branch is then unsatisfiable
% 83.02/37.19 |-Branch two:
% 83.02/37.19 | (359) ~ (all_240_0_173 = 0) & rel_str(all_0_21_21) = all_240_0_173
% 83.02/37.19 |
% 83.02/37.19 | Applying alpha-rule on (359) yields:
% 83.02/37.19 | (355) ~ (all_240_0_173 = 0)
% 83.02/37.19 | (361) rel_str(all_0_21_21) = all_240_0_173
% 83.02/37.19 |
% 83.02/37.19 | Instantiating formula (45) with all_0_21_21, all_240_0_173, 0 and discharging atoms rel_str(all_0_21_21) = all_240_0_173, rel_str(all_0_21_21) = 0, yields:
% 83.02/37.19 | (357) all_240_0_173 = 0
% 83.02/37.19 |
% 83.02/37.19 | Equations (357) can reduce 355 to:
% 83.02/37.19 | (161) $false
% 83.02/37.19 |
% 83.02/37.19 |-The branch is then unsatisfiable
% 83.02/37.19 |-Branch two:
% 83.02/37.19 | (364) the_carrier(all_0_18_18) = all_240_0_173 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_240_0_173) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_0_19_19) = v4) | (in(v3, all_240_0_173) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_240_0_173) = v6) | ( ~ (v6 = 0) & in(v1, all_240_0_173) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_240_0_173) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_240_0_173) = v5)))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_240_0_173) = v3) | ( ~ (v3 = 0) & element(v1, all_0_19_19) = v3) | ( ~ (v3 = 0) & element(v0, all_240_0_173) = v3) | ( ~ (v3 = 0) & in(v1, all_240_0_173) = v3))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_240_0_173) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_240_0_173) = v2) | ( ~ (v2 = 0) & in(v1, all_240_0_173) = v2))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v1, all_240_0_173) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_240_0_173) = v2) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_240_0_173) = v2))) & ! [v0] : ! [v1] : ( ~ (element(v1, all_0_19_19) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_240_0_173) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_240_0_173) = v4) | ( ~ (v4 = 0) & element(v0, all_240_0_173) = v4) | ( ~ (v4 = 0) & in(v1, all_240_0_173) = v4))) & ! [v3] : ( ~ (element(v3, all_240_0_173) = 0) | ? [v4] : (in(v3, all_240_0_173) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_240_0_173) = v6) | ( ~ (v6 = 0) & in(v1, all_240_0_173) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_240_0_173) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_240_0_173) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_240_0_173) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_240_0_173) = v3) | ( ~ (v3 = 0) & in(v1, all_240_0_173) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_240_0_173) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_240_0_173) = v3) | ( ~ (v3 = 0) & element(v0, all_240_0_173) = v3)))))
% 83.02/37.19 |
% 83.02/37.19 | Applying alpha-rule on (364) yields:
% 83.02/37.19 | (365) ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_240_0_173) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_240_0_173) = v2) | ( ~ (v2 = 0) & in(v1, all_240_0_173) = v2)))
% 83.02/37.19 | (366) ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v1, all_240_0_173) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_240_0_173) = v2) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_240_0_173) = v2)))
% 83.02/37.19 | (367) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_240_0_173) = v3) | ( ~ (v3 = 0) & element(v1, all_0_19_19) = v3) | ( ~ (v3 = 0) & element(v0, all_240_0_173) = v3) | ( ~ (v3 = 0) & in(v1, all_240_0_173) = v3)))
% 83.02/37.19 | (368) ! [v0] : ! [v1] : ( ~ (element(v1, all_0_19_19) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_240_0_173) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_240_0_173) = v4) | ( ~ (v4 = 0) & element(v0, all_240_0_173) = v4) | ( ~ (v4 = 0) & in(v1, all_240_0_173) = v4))) & ! [v3] : ( ~ (element(v3, all_240_0_173) = 0) | ? [v4] : (in(v3, all_240_0_173) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_240_0_173) = v6) | ( ~ (v6 = 0) & in(v1, all_240_0_173) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_240_0_173) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_240_0_173) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_240_0_173) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_240_0_173) = v3) | ( ~ (v3 = 0) & in(v1, all_240_0_173) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_240_0_173) = 0) | ~ (in(v0, all_240_0_173) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_240_0_173) = v3) | ( ~ (v3 = 0) & element(v0, all_240_0_173) = v3)))))
% 83.02/37.19 | (369) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_240_0_173) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_0_19_19) = v4) | (in(v3, all_240_0_173) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_240_0_173) = v6) | ( ~ (v6 = 0) & in(v1, all_240_0_173) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_240_0_173) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_240_0_173) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_240_0_173) = v5))))))
% 83.02/37.20 | (370) the_carrier(all_0_18_18) = all_240_0_173
% 83.02/37.20 |
% 83.02/37.20 | Instantiating formula (368) with all_0_14_14, all_0_15_15 and discharging atoms element(all_0_14_14, all_0_19_19) = 0, element(all_0_15_15, all_0_19_19) = 0, yields:
% 83.02/37.20 | (371) ? [v0] : (related(all_0_21_21, all_0_15_15, all_0_14_14) = v0 & ! [v1] : ( ~ (v0 = 0) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v1) | ~ (in(all_0_15_15, all_240_0_173) = 0) | ? [v2] : (( ~ (v2 = 0) & element(all_0_14_14, all_240_0_173) = v2) | ( ~ (v2 = 0) & element(all_0_15_15, all_240_0_173) = v2) | ( ~ (v2 = 0) & in(all_0_14_14, all_240_0_173) = v2))) & ! [v1] : ( ~ (element(v1, all_240_0_173) = 0) | ? [v2] : (in(v1, all_240_0_173) = v2 & ! [v3] : ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | v3 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v3) | ? [v4] : (( ~ (v4 = 0) & element(all_0_14_14, all_240_0_173) = v4) | ( ~ (v4 = 0) & in(all_0_14_14, all_240_0_173) = v4))) & ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | ~ (element(all_0_14_14, all_240_0_173) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v3 = 0) & in(all_0_14_14, all_240_0_173) = v3))) & ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | ~ (in(all_0_14_14, all_240_0_173) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v3 = 0) & element(all_0_14_14, all_240_0_173) = v3))))) & ( ~ (v0 = 0) | ~ (element(all_0_14_14, all_240_0_173) = 0) | ~ (in(all_0_15_15, all_240_0_173) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_240_0_173) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_240_0_173) = v1))) & ( ~ (v0 = 0) | ~ (in(all_0_14_14, all_240_0_173) = 0) | ~ (in(all_0_15_15, all_240_0_173) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v1 = 0) & element(all_0_14_14, all_240_0_173) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_240_0_173) = v1))))
% 83.02/37.20 |
% 83.02/37.20 | Instantiating (371) with all_293_0_222 yields:
% 83.02/37.20 | (372) related(all_0_21_21, all_0_15_15, all_0_14_14) = all_293_0_222 & ! [v0] : ( ~ (all_293_0_222 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ~ (in(all_0_15_15, all_240_0_173) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_240_0_173) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_240_0_173) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_240_0_173) = v1))) & ! [v0] : ( ~ (element(v0, all_240_0_173) = 0) | ? [v1] : (in(v0, all_240_0_173) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_293_0_222 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_14_14, all_240_0_173) = v3) | ( ~ (v3 = 0) & in(all_0_14_14, all_240_0_173) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_293_0_222 = 0) | ~ (element(all_0_14_14, all_240_0_173) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & in(all_0_14_14, all_240_0_173) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_293_0_222 = 0) | ~ (in(all_0_14_14, all_240_0_173) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & element(all_0_14_14, all_240_0_173) = v2))))) & ( ~ (all_293_0_222 = 0) | ~ (element(all_0_14_14, all_240_0_173) = 0) | ~ (in(all_0_15_15, all_240_0_173) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_240_0_173) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_240_0_173) = v0))) & ( ~ (all_293_0_222 = 0) | ~ (in(all_0_14_14, all_240_0_173) = 0) | ~ (in(all_0_15_15, all_240_0_173) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_240_0_173) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_240_0_173) = v0)))
% 83.02/37.20 |
% 83.02/37.20 | Applying alpha-rule on (372) yields:
% 83.02/37.20 | (373) ! [v0] : ( ~ (all_293_0_222 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ~ (in(all_0_15_15, all_240_0_173) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_240_0_173) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_240_0_173) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_240_0_173) = v1)))
% 83.02/37.20 | (374) ! [v0] : ( ~ (element(v0, all_240_0_173) = 0) | ? [v1] : (in(v0, all_240_0_173) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_293_0_222 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_14_14, all_240_0_173) = v3) | ( ~ (v3 = 0) & in(all_0_14_14, all_240_0_173) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_293_0_222 = 0) | ~ (element(all_0_14_14, all_240_0_173) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & in(all_0_14_14, all_240_0_173) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_293_0_222 = 0) | ~ (in(all_0_14_14, all_240_0_173) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & element(all_0_14_14, all_240_0_173) = v2)))))
% 83.02/37.20 | (375) ~ (all_293_0_222 = 0) | ~ (element(all_0_14_14, all_240_0_173) = 0) | ~ (in(all_0_15_15, all_240_0_173) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_240_0_173) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_240_0_173) = v0))
% 83.02/37.20 | (376) ~ (all_293_0_222 = 0) | ~ (in(all_0_14_14, all_240_0_173) = 0) | ~ (in(all_0_15_15, all_240_0_173) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_240_0_173) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_240_0_173) = v0))
% 83.02/37.20 | (377) related(all_0_21_21, all_0_15_15, all_0_14_14) = all_293_0_222
% 83.02/37.20 |
% 83.02/37.20 +-Applying beta-rule and splitting (352), into two cases.
% 83.02/37.20 |-Branch one:
% 83.02/37.20 | (378) ~ (all_284_0_220 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_284_0_220
% 83.02/37.20 |
% 83.02/37.20 | Applying alpha-rule on (378) yields:
% 83.02/37.20 | (379) ~ (all_284_0_220 = 0)
% 83.02/37.20 | (380) subrelstr(all_0_18_18, all_0_21_21) = all_284_0_220
% 83.02/37.20 |
% 83.02/37.20 | Instantiating formula (51) with all_0_18_18, all_0_21_21, all_284_0_220, 0 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = all_284_0_220, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.02/37.20 | (381) all_284_0_220 = 0
% 83.02/37.20 |
% 83.02/37.20 | Equations (381) can reduce 379 to:
% 83.02/37.20 | (161) $false
% 83.02/37.20 |
% 83.02/37.20 |-The branch is then unsatisfiable
% 83.02/37.20 |-Branch two:
% 83.02/37.20 | (383) the_carrier(all_0_18_18) = all_284_0_220 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_284_0_220) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_248_0_182) = v4) | (in(v3, all_284_0_220) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_284_0_220) = v6) | ( ~ (v6 = 0) & in(v1, all_284_0_220) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_284_0_220) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_284_0_220) = v5)))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_284_0_220) = v3) | ( ~ (v3 = 0) & element(v1, all_248_0_182) = v3) | ( ~ (v3 = 0) & element(v0, all_284_0_220) = v3) | ( ~ (v3 = 0) & in(v1, all_284_0_220) = v3))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_284_0_220) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_284_0_220) = v2) | ( ~ (v2 = 0) & in(v1, all_284_0_220) = v2))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v1, all_284_0_220) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_284_0_220) = v2) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_284_0_220) = v2))) & ! [v0] : ! [v1] : ( ~ (element(v1, all_248_0_182) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_284_0_220) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_284_0_220) = v4) | ( ~ (v4 = 0) & element(v0, all_284_0_220) = v4) | ( ~ (v4 = 0) & in(v1, all_284_0_220) = v4))) & ! [v3] : ( ~ (element(v3, all_284_0_220) = 0) | ? [v4] : (in(v3, all_284_0_220) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_284_0_220) = v6) | ( ~ (v6 = 0) & in(v1, all_284_0_220) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_284_0_220) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_284_0_220) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_284_0_220) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_284_0_220) = v3) | ( ~ (v3 = 0) & in(v1, all_284_0_220) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_284_0_220) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_284_0_220) = v3) | ( ~ (v3 = 0) & element(v0, all_284_0_220) = v3)))))
% 83.02/37.20 |
% 83.02/37.20 | Applying alpha-rule on (383) yields:
% 83.02/37.20 | (384) ! [v0] : ! [v1] : ( ~ (element(v1, all_248_0_182) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_284_0_220) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_284_0_220) = v4) | ( ~ (v4 = 0) & element(v0, all_284_0_220) = v4) | ( ~ (v4 = 0) & in(v1, all_284_0_220) = v4))) & ! [v3] : ( ~ (element(v3, all_284_0_220) = 0) | ? [v4] : (in(v3, all_284_0_220) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_284_0_220) = v6) | ( ~ (v6 = 0) & in(v1, all_284_0_220) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_284_0_220) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_284_0_220) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_284_0_220) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_284_0_220) = v3) | ( ~ (v3 = 0) & in(v1, all_284_0_220) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_284_0_220) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_284_0_220) = v3) | ( ~ (v3 = 0) & element(v0, all_284_0_220) = v3)))))
% 83.02/37.21 | (385) ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v1, all_284_0_220) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_284_0_220) = v2) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_284_0_220) = v2)))
% 83.02/37.21 | (386) ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_284_0_220) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_284_0_220) = v2) | ( ~ (v2 = 0) & in(v1, all_284_0_220) = v2)))
% 83.02/37.21 | (387) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_284_0_220) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_284_0_220) = v3) | ( ~ (v3 = 0) & element(v1, all_248_0_182) = v3) | ( ~ (v3 = 0) & element(v0, all_284_0_220) = v3) | ( ~ (v3 = 0) & in(v1, all_284_0_220) = v3)))
% 83.02/37.21 | (388) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_284_0_220) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_248_0_182) = v4) | (in(v3, all_284_0_220) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_284_0_220) = v6) | ( ~ (v6 = 0) & in(v1, all_284_0_220) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_284_0_220) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_284_0_220) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_284_0_220) = v5))))))
% 83.02/37.21 | (389) the_carrier(all_0_18_18) = all_284_0_220
% 83.02/37.21 |
% 83.02/37.21 +-Applying beta-rule and splitting (336), into two cases.
% 83.02/37.21 |-Branch one:
% 83.02/37.21 | (390) ( ~ (all_245_0_177 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_245_0_177) | ( ~ (all_245_0_177 = 0) & rel_str(all_0_21_21) = all_245_0_177)
% 83.02/37.21 |
% 83.02/37.21 +-Applying beta-rule and splitting (390), into two cases.
% 83.02/37.21 |-Branch one:
% 83.02/37.21 | (391) ~ (all_245_0_177 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_245_0_177
% 83.02/37.21 |
% 83.02/37.21 | Applying alpha-rule on (391) yields:
% 83.02/37.21 | (392) ~ (all_245_0_177 = 0)
% 83.02/37.21 | (393) subrelstr(all_0_18_18, all_0_21_21) = all_245_0_177
% 83.02/37.21 |
% 83.02/37.21 | Instantiating formula (51) with all_0_18_18, all_0_21_21, all_245_0_177, 0 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = all_245_0_177, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.02/37.21 | (394) all_245_0_177 = 0
% 83.02/37.21 |
% 83.02/37.21 | Equations (394) can reduce 392 to:
% 83.02/37.21 | (161) $false
% 83.02/37.21 |
% 83.02/37.21 |-The branch is then unsatisfiable
% 83.02/37.21 |-Branch two:
% 83.02/37.21 | (396) ~ (all_245_0_177 = 0) & rel_str(all_0_21_21) = all_245_0_177
% 83.02/37.21 |
% 83.02/37.21 | Applying alpha-rule on (396) yields:
% 83.02/37.21 | (392) ~ (all_245_0_177 = 0)
% 83.02/37.21 | (398) rel_str(all_0_21_21) = all_245_0_177
% 83.02/37.21 |
% 83.02/37.21 | Instantiating formula (45) with all_0_21_21, all_245_0_177, 0 and discharging atoms rel_str(all_0_21_21) = all_245_0_177, rel_str(all_0_21_21) = 0, yields:
% 83.02/37.21 | (394) all_245_0_177 = 0
% 83.02/37.21 |
% 83.02/37.21 | Equations (394) can reduce 392 to:
% 83.02/37.21 | (161) $false
% 83.02/37.21 |
% 83.02/37.21 |-The branch is then unsatisfiable
% 83.02/37.21 |-Branch two:
% 83.02/37.21 | (401) the_carrier(all_0_18_18) = all_245_0_177 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_245_0_177) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_0_19_19) = v4) | (in(v3, all_245_0_177) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_245_0_177) = v6) | ( ~ (v6 = 0) & in(v1, all_245_0_177) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_245_0_177) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_245_0_177) = v5)))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_245_0_177) = v3) | ( ~ (v3 = 0) & element(v1, all_0_19_19) = v3) | ( ~ (v3 = 0) & element(v0, all_245_0_177) = v3) | ( ~ (v3 = 0) & in(v1, all_245_0_177) = v3))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_245_0_177) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_245_0_177) = v2) | ( ~ (v2 = 0) & in(v1, all_245_0_177) = v2))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v1, all_245_0_177) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_245_0_177) = v2) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_245_0_177) = v2))) & ! [v0] : ! [v1] : ( ~ (element(v1, all_0_19_19) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_245_0_177) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_245_0_177) = v4) | ( ~ (v4 = 0) & element(v0, all_245_0_177) = v4) | ( ~ (v4 = 0) & in(v1, all_245_0_177) = v4))) & ! [v3] : ( ~ (element(v3, all_245_0_177) = 0) | ? [v4] : (in(v3, all_245_0_177) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_245_0_177) = v6) | ( ~ (v6 = 0) & in(v1, all_245_0_177) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_245_0_177) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_245_0_177) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_245_0_177) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_245_0_177) = v3) | ( ~ (v3 = 0) & in(v1, all_245_0_177) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_245_0_177) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_245_0_177) = v3) | ( ~ (v3 = 0) & element(v0, all_245_0_177) = v3)))))
% 83.02/37.21 |
% 83.02/37.21 | Applying alpha-rule on (401) yields:
% 83.02/37.21 | (402) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_245_0_177) = v3) | ( ~ (v3 = 0) & element(v1, all_0_19_19) = v3) | ( ~ (v3 = 0) & element(v0, all_245_0_177) = v3) | ( ~ (v3 = 0) & in(v1, all_245_0_177) = v3)))
% 83.02/37.21 | (403) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_245_0_177) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_0_19_19) = v4) | (in(v3, all_245_0_177) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_245_0_177) = v6) | ( ~ (v6 = 0) & in(v1, all_245_0_177) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_245_0_177) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_245_0_177) = v5))))))
% 83.02/37.21 | (404) the_carrier(all_0_18_18) = all_245_0_177
% 83.02/37.21 | (405) ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_245_0_177) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_245_0_177) = v2) | ( ~ (v2 = 0) & in(v1, all_245_0_177) = v2)))
% 83.02/37.21 | (406) ! [v0] : ! [v1] : ( ~ (element(v1, all_0_19_19) = 0) | ~ (element(v0, all_0_19_19) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_245_0_177) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_245_0_177) = v4) | ( ~ (v4 = 0) & element(v0, all_245_0_177) = v4) | ( ~ (v4 = 0) & in(v1, all_245_0_177) = v4))) & ! [v3] : ( ~ (element(v3, all_245_0_177) = 0) | ? [v4] : (in(v3, all_245_0_177) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_245_0_177) = v6) | ( ~ (v6 = 0) & in(v1, all_245_0_177) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_245_0_177) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_245_0_177) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_245_0_177) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_245_0_177) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_245_0_177) = v3) | ( ~ (v3 = 0) & in(v1, all_245_0_177) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_245_0_177) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_245_0_177) = v3) | ( ~ (v3 = 0) & element(v0, all_245_0_177) = v3)))))
% 83.02/37.22 | (407) ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_0_19_19) = 0) | ~ (in(v1, all_245_0_177) = 0) | ~ (in(v0, all_245_0_177) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_245_0_177) = v2) | ( ~ (v2 = 0) & element(v1, all_0_19_19) = v2) | ( ~ (v2 = 0) & element(v0, all_245_0_177) = v2)))
% 83.02/37.22 |
% 83.02/37.22 | Instantiating formula (406) with all_0_14_14, all_0_15_15 and discharging atoms element(all_0_14_14, all_0_19_19) = 0, element(all_0_15_15, all_0_19_19) = 0, yields:
% 83.02/37.22 | (408) ? [v0] : (related(all_0_21_21, all_0_15_15, all_0_14_14) = v0 & ! [v1] : ( ~ (v0 = 0) | v1 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v1) | ~ (in(all_0_15_15, all_245_0_177) = 0) | ? [v2] : (( ~ (v2 = 0) & element(all_0_14_14, all_245_0_177) = v2) | ( ~ (v2 = 0) & element(all_0_15_15, all_245_0_177) = v2) | ( ~ (v2 = 0) & in(all_0_14_14, all_245_0_177) = v2))) & ! [v1] : ( ~ (element(v1, all_245_0_177) = 0) | ? [v2] : (in(v1, all_245_0_177) = v2 & ! [v3] : ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | v3 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v3) | ? [v4] : (( ~ (v4 = 0) & element(all_0_14_14, all_245_0_177) = v4) | ( ~ (v4 = 0) & in(all_0_14_14, all_245_0_177) = v4))) & ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | ~ (element(all_0_14_14, all_245_0_177) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v3 = 0) & in(all_0_14_14, all_245_0_177) = v3))) & ( ~ (v2 = 0) | ~ (v1 = all_0_15_15) | ~ (v0 = 0) | ~ (in(all_0_14_14, all_245_0_177) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v3 = 0) & element(all_0_14_14, all_245_0_177) = v3))))) & ( ~ (v0 = 0) | ~ (element(all_0_14_14, all_245_0_177) = 0) | ~ (in(all_0_15_15, all_245_0_177) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v1 = 0) & element(all_0_15_15, all_245_0_177) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_245_0_177) = v1))) & ( ~ (v0 = 0) | ~ (in(all_0_14_14, all_245_0_177) = 0) | ~ (in(all_0_15_15, all_245_0_177) = 0) | ? [v1] : ((v1 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v1 = 0) & element(all_0_14_14, all_245_0_177) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_245_0_177) = v1))))
% 83.02/37.22 |
% 83.02/37.22 | Instantiating (408) with all_348_0_234 yields:
% 83.02/37.22 | (409) related(all_0_21_21, all_0_15_15, all_0_14_14) = all_348_0_234 & ! [v0] : ( ~ (all_348_0_234 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ~ (in(all_0_15_15, all_245_0_177) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_245_0_177) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_245_0_177) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_245_0_177) = v1))) & ! [v0] : ( ~ (element(v0, all_245_0_177) = 0) | ? [v1] : (in(v0, all_245_0_177) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_348_0_234 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_14_14, all_245_0_177) = v3) | ( ~ (v3 = 0) & in(all_0_14_14, all_245_0_177) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_348_0_234 = 0) | ~ (element(all_0_14_14, all_245_0_177) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & in(all_0_14_14, all_245_0_177) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_348_0_234 = 0) | ~ (in(all_0_14_14, all_245_0_177) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & element(all_0_14_14, all_245_0_177) = v2))))) & ( ~ (all_348_0_234 = 0) | ~ (element(all_0_14_14, all_245_0_177) = 0) | ~ (in(all_0_15_15, all_245_0_177) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_245_0_177) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_245_0_177) = v0))) & ( ~ (all_348_0_234 = 0) | ~ (in(all_0_14_14, all_245_0_177) = 0) | ~ (in(all_0_15_15, all_245_0_177) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_245_0_177) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_245_0_177) = v0)))
% 83.02/37.22 |
% 83.02/37.22 | Applying alpha-rule on (409) yields:
% 83.02/37.22 | (410) related(all_0_21_21, all_0_15_15, all_0_14_14) = all_348_0_234
% 83.02/37.22 | (411) ! [v0] : ( ~ (element(v0, all_245_0_177) = 0) | ? [v1] : (in(v0, all_245_0_177) = v1 & ! [v2] : ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_348_0_234 = 0) | v2 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v2) | ? [v3] : (( ~ (v3 = 0) & element(all_0_14_14, all_245_0_177) = v3) | ( ~ (v3 = 0) & in(all_0_14_14, all_245_0_177) = v3))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_348_0_234 = 0) | ~ (element(all_0_14_14, all_245_0_177) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & in(all_0_14_14, all_245_0_177) = v2))) & ( ~ (v1 = 0) | ~ (v0 = all_0_15_15) | ~ (all_348_0_234 = 0) | ~ (in(all_0_14_14, all_245_0_177) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v2 = 0) & element(all_0_14_14, all_245_0_177) = v2)))))
% 83.02/37.22 | (412) ~ (all_348_0_234 = 0) | ~ (element(all_0_14_14, all_245_0_177) = 0) | ~ (in(all_0_15_15, all_245_0_177) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_245_0_177) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_245_0_177) = v0))
% 83.02/37.22 | (413) ! [v0] : ( ~ (all_348_0_234 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_14_14) = v0) | ~ (in(all_0_15_15, all_245_0_177) = 0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_14_14, all_245_0_177) = v1) | ( ~ (v1 = 0) & element(all_0_15_15, all_245_0_177) = v1) | ( ~ (v1 = 0) & in(all_0_14_14, all_245_0_177) = v1)))
% 83.02/37.22 | (414) ~ (all_348_0_234 = 0) | ~ (in(all_0_14_14, all_245_0_177) = 0) | ~ (in(all_0_15_15, all_245_0_177) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_245_0_177) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_245_0_177) = v0))
% 83.02/37.22 |
% 83.02/37.22 +-Applying beta-rule and splitting (348), into two cases.
% 83.02/37.22 |-Branch one:
% 83.02/37.22 | (415) ( ~ (all_262_0_196 = 0) & element(all_0_15_15, all_0_19_19) = all_262_0_196) | ( ~ (all_262_0_196 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196) | ( ~ (all_262_0_196 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196) | ( ~ (all_262_0_196 = 0) & rel_str(all_0_21_21) = all_262_0_196)
% 83.02/37.22 |
% 83.02/37.22 +-Applying beta-rule and splitting (415), into two cases.
% 83.02/37.22 |-Branch one:
% 83.02/37.22 | (416) ( ~ (all_262_0_196 = 0) & element(all_0_15_15, all_0_19_19) = all_262_0_196) | ( ~ (all_262_0_196 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196) | ( ~ (all_262_0_196 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196)
% 83.02/37.22 |
% 83.02/37.22 +-Applying beta-rule and splitting (416), into two cases.
% 83.02/37.22 |-Branch one:
% 83.02/37.22 | (417) ( ~ (all_262_0_196 = 0) & element(all_0_15_15, all_0_19_19) = all_262_0_196) | ( ~ (all_262_0_196 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196)
% 83.02/37.22 |
% 83.02/37.22 +-Applying beta-rule and splitting (417), into two cases.
% 83.02/37.22 |-Branch one:
% 83.02/37.22 | (418) ~ (all_262_0_196 = 0) & element(all_0_15_15, all_0_19_19) = all_262_0_196
% 83.02/37.22 |
% 83.02/37.22 | Applying alpha-rule on (418) yields:
% 83.02/37.22 | (419) ~ (all_262_0_196 = 0)
% 83.02/37.22 | (420) element(all_0_15_15, all_0_19_19) = all_262_0_196
% 83.02/37.22 |
% 83.02/37.22 | Instantiating formula (12) with all_0_15_15, all_0_19_19, all_262_0_196, 0 and discharging atoms element(all_0_15_15, all_0_19_19) = all_262_0_196, element(all_0_15_15, all_0_19_19) = 0, yields:
% 83.02/37.22 | (421) all_262_0_196 = 0
% 83.02/37.22 |
% 83.02/37.22 | Equations (421) can reduce 419 to:
% 83.02/37.22 | (161) $false
% 83.02/37.22 |
% 83.02/37.22 |-The branch is then unsatisfiable
% 83.02/37.22 |-Branch two:
% 83.02/37.22 | (423) ~ (all_262_0_196 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196
% 83.02/37.22 |
% 83.02/37.22 | Applying alpha-rule on (423) yields:
% 83.02/37.22 | (419) ~ (all_262_0_196 = 0)
% 83.02/37.22 | (425) full_subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196
% 83.02/37.22 |
% 83.02/37.22 | Instantiating formula (21) with all_0_18_18, all_0_21_21, all_262_0_196, 0 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.02/37.22 | (421) all_262_0_196 = 0
% 83.02/37.22 |
% 83.02/37.22 | Equations (421) can reduce 419 to:
% 83.02/37.22 | (161) $false
% 83.02/37.22 |
% 83.02/37.22 |-The branch is then unsatisfiable
% 83.02/37.22 |-Branch two:
% 83.02/37.22 | (428) ~ (all_262_0_196 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196
% 83.02/37.22 |
% 83.02/37.22 | Applying alpha-rule on (428) yields:
% 83.02/37.22 | (419) ~ (all_262_0_196 = 0)
% 83.02/37.22 | (430) subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196
% 83.02/37.22 |
% 83.02/37.22 | Instantiating formula (51) with all_0_18_18, all_0_21_21, all_262_0_196, 0 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = all_262_0_196, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.02/37.22 | (421) all_262_0_196 = 0
% 83.02/37.22 |
% 83.02/37.22 | Equations (421) can reduce 419 to:
% 83.02/37.22 | (161) $false
% 83.02/37.22 |
% 83.02/37.22 |-The branch is then unsatisfiable
% 83.02/37.22 |-Branch two:
% 83.02/37.22 | (433) ~ (all_262_0_196 = 0) & rel_str(all_0_21_21) = all_262_0_196
% 83.02/37.22 |
% 83.02/37.22 | Applying alpha-rule on (433) yields:
% 83.02/37.22 | (419) ~ (all_262_0_196 = 0)
% 83.02/37.22 | (435) rel_str(all_0_21_21) = all_262_0_196
% 83.02/37.22 |
% 83.02/37.22 | Instantiating formula (45) with all_0_21_21, all_262_0_196, 0 and discharging atoms rel_str(all_0_21_21) = all_262_0_196, rel_str(all_0_21_21) = 0, yields:
% 83.02/37.22 | (421) all_262_0_196 = 0
% 83.02/37.22 |
% 83.02/37.22 | Equations (421) can reduce 419 to:
% 83.02/37.22 | (161) $false
% 83.02/37.22 |
% 83.02/37.22 |-The branch is then unsatisfiable
% 83.02/37.22 |-Branch two:
% 83.02/37.22 | (438) in(all_0_15_15, all_0_16_16) = all_262_0_196 & ! [v0] : ( ~ (all_262_0_196 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (all_262_0_196 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_262_0_196 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0)))
% 83.02/37.22 |
% 83.02/37.22 | Applying alpha-rule on (438) yields:
% 83.02/37.22 | (439) in(all_0_15_15, all_0_16_16) = all_262_0_196
% 83.02/37.23 | (440) ! [v0] : ( ~ (all_262_0_196 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))
% 83.02/37.23 | (441) ~ (all_262_0_196 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 83.02/37.23 | (442) ~ (all_262_0_196 = 0) | ~ (all_73_0_97 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))
% 83.02/37.23 |
% 83.02/37.23 +-Applying beta-rule and splitting (349), into two cases.
% 83.02/37.23 |-Branch one:
% 83.02/37.23 | (443) ( ~ (all_266_0_200 = 0) & element(all_0_14_14, all_0_19_19) = all_266_0_200) | ( ~ (all_266_0_200 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200) | ( ~ (all_266_0_200 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200) | ( ~ (all_266_0_200 = 0) & rel_str(all_0_21_21) = all_266_0_200)
% 83.02/37.23 |
% 83.02/37.23 +-Applying beta-rule and splitting (443), into two cases.
% 83.02/37.23 |-Branch one:
% 83.02/37.23 | (444) ( ~ (all_266_0_200 = 0) & element(all_0_14_14, all_0_19_19) = all_266_0_200) | ( ~ (all_266_0_200 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200) | ( ~ (all_266_0_200 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200)
% 83.02/37.23 |
% 83.02/37.23 +-Applying beta-rule and splitting (444), into two cases.
% 83.02/37.23 |-Branch one:
% 83.02/37.23 | (445) ( ~ (all_266_0_200 = 0) & element(all_0_14_14, all_0_19_19) = all_266_0_200) | ( ~ (all_266_0_200 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200)
% 83.02/37.23 |
% 83.02/37.23 +-Applying beta-rule and splitting (445), into two cases.
% 83.02/37.23 |-Branch one:
% 83.02/37.23 | (446) ~ (all_266_0_200 = 0) & element(all_0_14_14, all_0_19_19) = all_266_0_200
% 83.02/37.23 |
% 83.02/37.23 | Applying alpha-rule on (446) yields:
% 83.02/37.23 | (447) ~ (all_266_0_200 = 0)
% 83.02/37.23 | (448) element(all_0_14_14, all_0_19_19) = all_266_0_200
% 83.02/37.23 |
% 83.02/37.23 | Instantiating formula (12) with all_0_14_14, all_0_19_19, all_266_0_200, 0 and discharging atoms element(all_0_14_14, all_0_19_19) = all_266_0_200, element(all_0_14_14, all_0_19_19) = 0, yields:
% 83.02/37.23 | (449) all_266_0_200 = 0
% 83.02/37.23 |
% 83.02/37.23 | Equations (449) can reduce 447 to:
% 83.02/37.23 | (161) $false
% 83.02/37.23 |
% 83.02/37.23 |-The branch is then unsatisfiable
% 83.02/37.23 |-Branch two:
% 83.02/37.23 | (451) ~ (all_266_0_200 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200
% 83.02/37.23 |
% 83.02/37.23 | Applying alpha-rule on (451) yields:
% 83.02/37.23 | (447) ~ (all_266_0_200 = 0)
% 83.02/37.23 | (453) full_subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200
% 83.02/37.23 |
% 83.02/37.23 | Instantiating formula (21) with all_0_18_18, all_0_21_21, all_266_0_200, 0 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.02/37.23 | (449) all_266_0_200 = 0
% 83.02/37.23 |
% 83.02/37.23 | Equations (449) can reduce 447 to:
% 83.02/37.23 | (161) $false
% 83.02/37.23 |
% 83.02/37.23 |-The branch is then unsatisfiable
% 83.02/37.23 |-Branch two:
% 83.02/37.23 | (456) ~ (all_266_0_200 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200
% 83.02/37.23 |
% 83.02/37.23 | Applying alpha-rule on (456) yields:
% 83.02/37.23 | (447) ~ (all_266_0_200 = 0)
% 83.02/37.23 | (458) subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200
% 83.02/37.23 |
% 83.02/37.23 | Instantiating formula (51) with all_0_18_18, all_0_21_21, all_266_0_200, 0 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = all_266_0_200, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.02/37.23 | (449) all_266_0_200 = 0
% 83.02/37.23 |
% 83.02/37.23 | Equations (449) can reduce 447 to:
% 83.02/37.23 | (161) $false
% 83.02/37.23 |
% 83.02/37.23 |-The branch is then unsatisfiable
% 83.02/37.23 |-Branch two:
% 83.02/37.23 | (461) ~ (all_266_0_200 = 0) & rel_str(all_0_21_21) = all_266_0_200
% 83.02/37.23 |
% 83.02/37.23 | Applying alpha-rule on (461) yields:
% 83.02/37.23 | (447) ~ (all_266_0_200 = 0)
% 83.02/37.23 | (463) rel_str(all_0_21_21) = all_266_0_200
% 83.02/37.23 |
% 83.02/37.23 | Instantiating formula (45) with all_0_21_21, all_266_0_200, 0 and discharging atoms rel_str(all_0_21_21) = all_266_0_200, rel_str(all_0_21_21) = 0, yields:
% 83.02/37.23 | (449) all_266_0_200 = 0
% 83.02/37.23 |
% 83.02/37.23 | Equations (449) can reduce 447 to:
% 83.02/37.23 | (161) $false
% 83.02/37.23 |
% 83.02/37.23 |-The branch is then unsatisfiable
% 83.02/37.23 |-Branch two:
% 83.02/37.23 | (466) in(all_0_15_15, all_0_16_16) = all_266_0_200 & ! [v0] : ( ~ (all_266_0_200 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (all_266_0_200 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_266_0_200 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0)))
% 83.02/37.23 |
% 83.02/37.23 | Applying alpha-rule on (466) yields:
% 83.02/37.23 | (467) in(all_0_15_15, all_0_16_16) = all_266_0_200
% 83.02/37.23 | (468) ! [v0] : ( ~ (all_266_0_200 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))
% 83.02/37.23 | (469) ~ (all_266_0_200 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 83.02/37.23 | (470) ~ (all_266_0_200 = 0) | ~ (all_80_0_104 = 0) | ~ (all_0_14_14 = all_0_15_15) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))
% 83.02/37.23 |
% 83.02/37.23 +-Applying beta-rule and splitting (351), into two cases.
% 83.02/37.23 |-Branch one:
% 83.02/37.23 | (471) ~ (all_283_0_219 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_283_0_219
% 83.02/37.23 |
% 83.02/37.23 | Applying alpha-rule on (471) yields:
% 83.02/37.23 | (472) ~ (all_283_0_219 = 0)
% 83.02/37.23 | (473) full_subrelstr(all_0_18_18, all_0_21_21) = all_283_0_219
% 83.02/37.23 |
% 83.02/37.23 | Instantiating formula (21) with all_0_18_18, all_0_21_21, all_283_0_219, 0 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = all_283_0_219, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.02/37.23 | (474) all_283_0_219 = 0
% 83.02/37.23 |
% 83.02/37.23 | Equations (474) can reduce 472 to:
% 83.02/37.23 | (161) $false
% 83.02/37.23 |
% 83.02/37.23 |-The branch is then unsatisfiable
% 83.02/37.23 |-Branch two:
% 83.02/37.23 | (476) the_carrier(all_0_18_18) = all_283_0_219 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_283_0_219) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_248_0_182) = v4) | (in(v3, all_283_0_219) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_283_0_219) = v6) | ( ~ (v6 = 0) & in(v1, all_283_0_219) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_283_0_219) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_283_0_219) = v5)))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_283_0_219) = v3) | ( ~ (v3 = 0) & element(v1, all_248_0_182) = v3) | ( ~ (v3 = 0) & element(v0, all_283_0_219) = v3) | ( ~ (v3 = 0) & in(v1, all_283_0_219) = v3))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_283_0_219) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_283_0_219) = v2) | ( ~ (v2 = 0) & in(v1, all_283_0_219) = v2))) & ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v1, all_283_0_219) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_283_0_219) = v2) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_283_0_219) = v2))) & ! [v0] : ! [v1] : ( ~ (element(v1, all_248_0_182) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_283_0_219) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_283_0_219) = v4) | ( ~ (v4 = 0) & element(v0, all_283_0_219) = v4) | ( ~ (v4 = 0) & in(v1, all_283_0_219) = v4))) & ! [v3] : ( ~ (element(v3, all_283_0_219) = 0) | ? [v4] : (in(v3, all_283_0_219) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_283_0_219) = v6) | ( ~ (v6 = 0) & in(v1, all_283_0_219) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_283_0_219) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_283_0_219) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_283_0_219) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_283_0_219) = v3) | ( ~ (v3 = 0) & in(v1, all_283_0_219) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_283_0_219) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_283_0_219) = v3) | ( ~ (v3 = 0) & element(v0, all_283_0_219) = v3)))))
% 83.40/37.24 |
% 83.40/37.24 | Applying alpha-rule on (476) yields:
% 83.40/37.24 | (477) ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v1, all_283_0_219) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_283_0_219) = v2) | ( ~ (v2 = 0) & in(v1, all_283_0_219) = v2)))
% 83.40/37.24 | (478) ! [v0] : ! [v1] : ( ~ (element(v1, all_248_0_182) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v2] : (related(all_0_21_21, v0, v1) = v2 & ! [v3] : ( ~ (v2 = 0) | v3 = 0 | ~ (related(all_0_18_18, v0, v1) = v3) | ~ (in(v0, all_283_0_219) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_283_0_219) = v4) | ( ~ (v4 = 0) & element(v0, all_283_0_219) = v4) | ( ~ (v4 = 0) & in(v1, all_283_0_219) = v4))) & ! [v3] : ( ~ (element(v3, all_283_0_219) = 0) | ? [v4] : (in(v3, all_283_0_219) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_283_0_219) = v6) | ( ~ (v6 = 0) & in(v1, all_283_0_219) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_283_0_219) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_283_0_219) = v5))))) & ( ~ (v2 = 0) | ~ (element(v1, all_283_0_219) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v0, all_283_0_219) = v3) | ( ~ (v3 = 0) & in(v1, all_283_0_219) = v3))) & ( ~ (v2 = 0) | ~ (in(v1, all_283_0_219) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v3] : ((v3 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v3 = 0) & element(v1, all_283_0_219) = v3) | ( ~ (v3 = 0) & element(v0, all_283_0_219) = v3)))))
% 83.40/37.24 | (479) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (related(all_0_21_21, v0, v1) = v2) | ~ (element(v3, all_283_0_219) = 0) | ~ (element(v0, all_248_0_182) = 0) | ? [v4] : (( ~ (v4 = 0) & element(v1, all_248_0_182) = v4) | (in(v3, all_283_0_219) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | v5 = 0 | ~ (related(all_0_18_18, v0, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & element(v1, all_283_0_219) = v6) | ( ~ (v6 = 0) & in(v1, all_283_0_219) = v6))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (element(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & in(v1, all_283_0_219) = v5))) & ( ~ (v4 = 0) | ~ (v3 = v0) | ~ (v2 = 0) | ~ (in(v1, all_283_0_219) = 0) | ? [v5] : ((v5 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v5 = 0) & element(v1, all_283_0_219) = v5))))))
% 83.40/37.24 | (480) ! [v0] : ! [v1] : ( ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v1, all_283_0_219) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v2] : ((v2 = 0 & related(all_0_18_18, v0, v1) = 0) | ( ~ (v2 = 0) & element(v1, all_283_0_219) = v2) | ( ~ (v2 = 0) & element(v1, all_248_0_182) = v2) | ( ~ (v2 = 0) & element(v0, all_283_0_219) = v2)))
% 83.40/37.24 | (481) the_carrier(all_0_18_18) = all_283_0_219
% 83.40/37.24 | (482) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (related(all_0_18_18, v0, v1) = v2) | ~ (related(all_0_21_21, v0, v1) = 0) | ~ (element(v0, all_248_0_182) = 0) | ~ (in(v0, all_283_0_219) = 0) | ? [v3] : (( ~ (v3 = 0) & element(v1, all_283_0_219) = v3) | ( ~ (v3 = 0) & element(v1, all_248_0_182) = v3) | ( ~ (v3 = 0) & element(v0, all_283_0_219) = v3) | ( ~ (v3 = 0) & in(v1, all_283_0_219) = v3)))
% 83.40/37.24 |
% 83.40/37.24 +-Applying beta-rule and splitting (350), into two cases.
% 83.40/37.24 |-Branch one:
% 83.40/37.24 | (483) ( ~ (all_269_0_203 = 0) & element(all_0_15_15, all_0_19_19) = all_269_0_203) | ( ~ (all_269_0_203 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203) | ( ~ (all_269_0_203 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203) | ( ~ (all_269_0_203 = 0) & rel_str(all_0_21_21) = all_269_0_203)
% 83.40/37.24 |
% 83.40/37.24 +-Applying beta-rule and splitting (483), into two cases.
% 83.40/37.24 |-Branch one:
% 83.40/37.24 | (484) ( ~ (all_269_0_203 = 0) & element(all_0_15_15, all_0_19_19) = all_269_0_203) | ( ~ (all_269_0_203 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203) | ( ~ (all_269_0_203 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203)
% 83.40/37.24 |
% 83.40/37.24 +-Applying beta-rule and splitting (484), into two cases.
% 83.40/37.24 |-Branch one:
% 83.40/37.24 | (485) ( ~ (all_269_0_203 = 0) & element(all_0_15_15, all_0_19_19) = all_269_0_203) | ( ~ (all_269_0_203 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203)
% 83.40/37.24 |
% 83.40/37.24 +-Applying beta-rule and splitting (485), into two cases.
% 83.40/37.24 |-Branch one:
% 83.40/37.24 | (486) ~ (all_269_0_203 = 0) & element(all_0_15_15, all_0_19_19) = all_269_0_203
% 83.40/37.24 |
% 83.40/37.24 | Applying alpha-rule on (486) yields:
% 83.40/37.24 | (487) ~ (all_269_0_203 = 0)
% 83.40/37.24 | (488) element(all_0_15_15, all_0_19_19) = all_269_0_203
% 83.40/37.24 |
% 83.40/37.24 | Instantiating formula (12) with all_0_15_15, all_0_19_19, all_269_0_203, 0 and discharging atoms element(all_0_15_15, all_0_19_19) = all_269_0_203, element(all_0_15_15, all_0_19_19) = 0, yields:
% 83.40/37.24 | (489) all_269_0_203 = 0
% 83.40/37.24 |
% 83.40/37.24 | Equations (489) can reduce 487 to:
% 83.40/37.24 | (161) $false
% 83.40/37.24 |
% 83.40/37.24 |-The branch is then unsatisfiable
% 83.40/37.24 |-Branch two:
% 83.40/37.24 | (491) ~ (all_269_0_203 = 0) & full_subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203
% 83.40/37.24 |
% 83.40/37.24 | Applying alpha-rule on (491) yields:
% 83.40/37.24 | (487) ~ (all_269_0_203 = 0)
% 83.40/37.24 | (493) full_subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203
% 83.40/37.24 |
% 83.40/37.24 | Instantiating formula (21) with all_0_18_18, all_0_21_21, all_269_0_203, 0 and discharging atoms full_subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203, full_subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.40/37.24 | (489) all_269_0_203 = 0
% 83.40/37.24 |
% 83.40/37.24 | Equations (489) can reduce 487 to:
% 83.40/37.24 | (161) $false
% 83.40/37.24 |
% 83.40/37.24 |-The branch is then unsatisfiable
% 83.40/37.24 |-Branch two:
% 83.40/37.24 | (496) ~ (all_269_0_203 = 0) & subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203
% 83.40/37.24 |
% 83.40/37.24 | Applying alpha-rule on (496) yields:
% 83.40/37.24 | (487) ~ (all_269_0_203 = 0)
% 83.40/37.24 | (498) subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203
% 83.40/37.24 |
% 83.40/37.24 | Instantiating formula (51) with all_0_18_18, all_0_21_21, all_269_0_203, 0 and discharging atoms subrelstr(all_0_18_18, all_0_21_21) = all_269_0_203, subrelstr(all_0_18_18, all_0_21_21) = 0, yields:
% 83.40/37.24 | (489) all_269_0_203 = 0
% 83.40/37.24 |
% 83.40/37.24 | Equations (489) can reduce 487 to:
% 83.40/37.24 | (161) $false
% 83.40/37.24 |
% 83.40/37.24 |-The branch is then unsatisfiable
% 83.40/37.24 |-Branch two:
% 83.40/37.24 | (501) ~ (all_269_0_203 = 0) & rel_str(all_0_21_21) = all_269_0_203
% 83.40/37.24 |
% 83.40/37.24 | Applying alpha-rule on (501) yields:
% 83.40/37.24 | (487) ~ (all_269_0_203 = 0)
% 83.40/37.24 | (503) rel_str(all_0_21_21) = all_269_0_203
% 83.40/37.24 |
% 83.40/37.24 | Instantiating formula (45) with all_0_21_21, all_269_0_203, 0 and discharging atoms rel_str(all_0_21_21) = all_269_0_203, rel_str(all_0_21_21) = 0, yields:
% 83.40/37.24 | (489) all_269_0_203 = 0
% 83.40/37.24 |
% 83.40/37.24 | Equations (489) can reduce 487 to:
% 83.40/37.24 | (161) $false
% 83.40/37.24 |
% 83.40/37.24 |-The branch is then unsatisfiable
% 83.40/37.24 |-Branch two:
% 83.40/37.24 | (506) in(all_0_15_15, all_0_16_16) = all_269_0_203 & ! [v0] : ( ~ (all_269_0_203 = 0) | ~ (all_60_0_81 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1))) & ( ~ (all_269_0_203 = 0) | ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))) & ( ~ (all_269_0_203 = 0) | ~ (all_60_0_81 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0)))
% 83.40/37.24 |
% 83.40/37.24 | Applying alpha-rule on (506) yields:
% 83.40/37.24 | (507) in(all_0_15_15, all_0_16_16) = all_269_0_203
% 83.40/37.24 | (508) ! [v0] : ( ~ (all_269_0_203 = 0) | ~ (all_60_0_81 = 0) | v0 = 0 | ~ (related(all_0_18_18, all_0_15_15, all_0_15_15) = v0) | ? [v1] : (( ~ (v1 = 0) & element(all_0_15_15, all_0_16_16) = v1) | ( ~ (v1 = 0) & in(all_0_15_15, all_0_16_16) = v1)))
% 83.40/37.24 | (509) ~ (all_269_0_203 = 0) | ~ (all_60_0_81 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 83.40/37.24 | (510) ~ (all_269_0_203 = 0) | ~ (all_60_0_81 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_15_15) = 0) | ( ~ (v0 = 0) & in(all_0_15_15, all_0_16_16) = v0))
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (99) with all_0_18_18, all_283_0_219, all_284_0_220 and discharging atoms the_carrier(all_0_18_18) = all_284_0_220, the_carrier(all_0_18_18) = all_283_0_219, yields:
% 83.40/37.25 | (511) all_284_0_220 = all_283_0_219
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (99) with all_0_18_18, all_245_0_177, all_0_16_16 and discharging atoms the_carrier(all_0_18_18) = all_245_0_177, the_carrier(all_0_18_18) = all_0_16_16, yields:
% 83.40/37.25 | (512) all_245_0_177 = all_0_16_16
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (99) with all_0_18_18, all_245_0_177, all_284_0_220 and discharging atoms the_carrier(all_0_18_18) = all_284_0_220, the_carrier(all_0_18_18) = all_245_0_177, yields:
% 83.40/37.25 | (513) all_284_0_220 = all_245_0_177
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (99) with all_0_18_18, all_240_0_173, all_284_0_220 and discharging atoms the_carrier(all_0_18_18) = all_284_0_220, the_carrier(all_0_18_18) = all_240_0_173, yields:
% 83.40/37.25 | (514) all_284_0_220 = all_240_0_173
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (52) with all_0_15_15, all_0_16_16, all_269_0_203, all_63_0_84 and discharging atoms in(all_0_15_15, all_0_16_16) = all_269_0_203, in(all_0_15_15, all_0_16_16) = all_63_0_84, yields:
% 83.40/37.25 | (515) all_269_0_203 = all_63_0_84
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (52) with all_0_15_15, all_0_16_16, all_266_0_200, all_269_0_203 and discharging atoms in(all_0_15_15, all_0_16_16) = all_269_0_203, in(all_0_15_15, all_0_16_16) = all_266_0_200, yields:
% 83.40/37.25 | (516) all_269_0_203 = all_266_0_200
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (52) with all_0_15_15, all_0_16_16, all_262_0_196, all_266_0_200 and discharging atoms in(all_0_15_15, all_0_16_16) = all_266_0_200, in(all_0_15_15, all_0_16_16) = all_262_0_196, yields:
% 83.40/37.25 | (517) all_266_0_200 = all_262_0_196
% 83.40/37.25 |
% 83.40/37.25 | Combining equations (514,511) yields a new equation:
% 83.40/37.25 | (518) all_283_0_219 = all_240_0_173
% 83.40/37.25 |
% 83.40/37.25 | Combining equations (513,511) yields a new equation:
% 83.40/37.25 | (519) all_283_0_219 = all_245_0_177
% 83.40/37.25 |
% 83.40/37.25 | Combining equations (519,518) yields a new equation:
% 83.40/37.25 | (520) all_245_0_177 = all_240_0_173
% 83.40/37.25 |
% 83.40/37.25 | Simplifying 520 yields:
% 83.40/37.25 | (521) all_245_0_177 = all_240_0_173
% 83.40/37.25 |
% 83.40/37.25 | Combining equations (516,515) yields a new equation:
% 83.40/37.25 | (522) all_266_0_200 = all_63_0_84
% 83.40/37.25 |
% 83.40/37.25 | Simplifying 522 yields:
% 83.40/37.25 | (523) all_266_0_200 = all_63_0_84
% 83.40/37.25 |
% 83.40/37.25 | Combining equations (517,523) yields a new equation:
% 83.40/37.25 | (524) all_262_0_196 = all_63_0_84
% 83.40/37.25 |
% 83.40/37.25 | Simplifying 524 yields:
% 83.40/37.25 | (525) all_262_0_196 = all_63_0_84
% 83.40/37.25 |
% 83.40/37.25 | Combining equations (512,521) yields a new equation:
% 83.40/37.25 | (526) all_240_0_173 = all_0_16_16
% 83.40/37.25 |
% 83.40/37.25 | Combining equations (526,521) yields a new equation:
% 83.40/37.25 | (512) all_245_0_177 = all_0_16_16
% 83.40/37.25 |
% 83.40/37.25 | From (526) and (370) follows:
% 83.40/37.25 | (30) the_carrier(all_0_18_18) = all_0_16_16
% 83.40/37.25 |
% 83.40/37.25 | From (525) and (439) follows:
% 83.40/37.25 | (189) in(all_0_15_15, all_0_16_16) = all_63_0_84
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (150), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (530) all_76_0_100 = 0 & empty(all_0_16_16) = 0
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (530) yields:
% 83.40/37.25 | (531) all_76_0_100 = 0
% 83.40/37.25 | (532) empty(all_0_16_16) = 0
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (153), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (533) (all_97_0_131 = 0 & empty_carrier(all_0_18_18) = 0) | ( ~ (all_97_0_131 = 0) & one_sorted_str(all_0_18_18) = all_97_0_131)
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (533), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (534) all_97_0_131 = 0 & empty_carrier(all_0_18_18) = 0
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (534) yields:
% 83.40/37.25 | (535) all_97_0_131 = 0
% 83.40/37.25 | (536) empty_carrier(all_0_18_18) = 0
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (87) with all_0_18_18, 0, all_0_17_17 and discharging atoms empty_carrier(all_0_18_18) = all_0_17_17, empty_carrier(all_0_18_18) = 0, yields:
% 83.40/37.25 | (160) all_0_17_17 = 0
% 83.40/37.25 |
% 83.40/37.25 | Equations (160) can reduce 122 to:
% 83.40/37.25 | (161) $false
% 83.40/37.25 |
% 83.40/37.25 |-The branch is then unsatisfiable
% 83.40/37.25 |-Branch two:
% 83.40/37.25 | (539) ~ (all_97_0_131 = 0) & one_sorted_str(all_0_18_18) = all_97_0_131
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (539) yields:
% 83.40/37.25 | (540) ~ (all_97_0_131 = 0)
% 83.40/37.25 | (541) one_sorted_str(all_0_18_18) = all_97_0_131
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (164), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (542) ~ (all_130_0_154 = 0) & the_carrier(all_0_18_18) = all_130_1_155 & empty(all_130_1_155) = all_130_0_154
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (542) yields:
% 83.40/37.25 | (543) ~ (all_130_0_154 = 0)
% 83.40/37.25 | (544) the_carrier(all_0_18_18) = all_130_1_155
% 83.40/37.25 | (545) empty(all_130_1_155) = all_130_0_154
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (99) with all_0_18_18, all_130_1_155, all_0_16_16 and discharging atoms the_carrier(all_0_18_18) = all_130_1_155, the_carrier(all_0_18_18) = all_0_16_16, yields:
% 83.40/37.25 | (546) all_130_1_155 = all_0_16_16
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (86) with all_0_16_16 and discharging atoms empty(all_0_16_16) = 0, yields:
% 83.40/37.25 | (547) all_0_16_16 = empty_set
% 83.40/37.25 |
% 83.40/37.25 | Combining equations (547,546) yields a new equation:
% 83.40/37.25 | (548) all_130_1_155 = empty_set
% 83.40/37.25 |
% 83.40/37.25 | From (548) and (545) follows:
% 83.40/37.25 | (549) empty(empty_set) = all_130_0_154
% 83.40/37.25 |
% 83.40/37.25 | From (547) and (532) follows:
% 83.40/37.25 | (5) empty(empty_set) = 0
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (98) with empty_set, all_130_0_154, 0 and discharging atoms empty(empty_set) = all_130_0_154, empty(empty_set) = 0, yields:
% 83.40/37.25 | (551) all_130_0_154 = 0
% 83.40/37.25 |
% 83.40/37.25 | Equations (551) can reduce 543 to:
% 83.40/37.25 | (161) $false
% 83.40/37.25 |
% 83.40/37.25 |-The branch is then unsatisfiable
% 83.40/37.25 |-Branch two:
% 83.40/37.25 | (553) ~ (all_130_1_155 = 0) & one_sorted_str(all_0_18_18) = all_130_1_155
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (553) yields:
% 83.40/37.25 | (554) ~ (all_130_1_155 = 0)
% 83.40/37.25 | (555) one_sorted_str(all_0_18_18) = all_130_1_155
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (2) with all_0_18_18, all_97_0_131, all_130_1_155 and discharging atoms one_sorted_str(all_0_18_18) = all_130_1_155, one_sorted_str(all_0_18_18) = all_97_0_131, yields:
% 83.40/37.25 | (556) all_130_1_155 = all_97_0_131
% 83.40/37.25 |
% 83.40/37.25 | Equations (556) can reduce 554 to:
% 83.40/37.25 | (540) ~ (all_97_0_131 = 0)
% 83.40/37.25 |
% 83.40/37.25 | From (556) and (555) follows:
% 83.40/37.25 | (541) one_sorted_str(all_0_18_18) = all_97_0_131
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (118) with all_97_0_131, all_0_18_18 and discharging atoms one_sorted_str(all_0_18_18) = all_97_0_131, yields:
% 83.40/37.25 | (559) all_97_0_131 = 0 | ? [v0] : ( ~ (v0 = 0) & rel_str(all_0_18_18) = v0)
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (63) with all_0_18_18 and discharging atoms rel_str(all_0_18_18) = 0, yields:
% 83.40/37.25 | (560) one_sorted_str(all_0_18_18) = 0
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (559), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (535) all_97_0_131 = 0
% 83.40/37.25 |
% 83.40/37.25 | Equations (535) can reduce 540 to:
% 83.40/37.25 | (161) $false
% 83.40/37.25 |
% 83.40/37.25 |-The branch is then unsatisfiable
% 83.40/37.25 |-Branch two:
% 83.40/37.25 | (540) ~ (all_97_0_131 = 0)
% 83.40/37.25 | (564) ? [v0] : ( ~ (v0 = 0) & rel_str(all_0_18_18) = v0)
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (2) with all_0_18_18, 0, all_97_0_131 and discharging atoms one_sorted_str(all_0_18_18) = all_97_0_131, one_sorted_str(all_0_18_18) = 0, yields:
% 83.40/37.25 | (535) all_97_0_131 = 0
% 83.40/37.25 |
% 83.40/37.25 | Equations (535) can reduce 540 to:
% 83.40/37.25 | (161) $false
% 83.40/37.25 |
% 83.40/37.25 |-The branch is then unsatisfiable
% 83.40/37.25 |-Branch two:
% 83.40/37.25 | (567) ~ (all_97_0_131 = 0) & empty(all_0_16_16) = all_97_0_131
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (567) yields:
% 83.40/37.25 | (540) ~ (all_97_0_131 = 0)
% 83.40/37.25 | (569) empty(all_0_16_16) = all_97_0_131
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (98) with all_0_16_16, 0, all_97_0_131 and discharging atoms empty(all_0_16_16) = all_97_0_131, empty(all_0_16_16) = 0, yields:
% 83.40/37.25 | (535) all_97_0_131 = 0
% 83.40/37.25 |
% 83.40/37.25 | Equations (535) can reduce 540 to:
% 83.40/37.25 | (161) $false
% 83.40/37.25 |
% 83.40/37.25 |-The branch is then unsatisfiable
% 83.40/37.25 |-Branch two:
% 83.40/37.25 | (572) all_76_0_100 = 0 & in(all_0_15_15, all_0_16_16) = 0
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (572) yields:
% 83.40/37.25 | (531) all_76_0_100 = 0
% 83.40/37.25 | (574) in(all_0_15_15, all_0_16_16) = 0
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (375), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (575) ~ (element(all_0_14_14, all_240_0_173) = 0)
% 83.40/37.25 |
% 83.40/37.25 | From (526) and (575) follows:
% 83.40/37.25 | (576) ~ (element(all_0_14_14, all_0_16_16) = 0)
% 83.40/37.25 |
% 83.40/37.25 | Using (44) and (576) yields:
% 83.40/37.25 | (577) $false
% 83.40/37.25 |
% 83.40/37.25 |-The branch is then unsatisfiable
% 83.40/37.25 |-Branch two:
% 83.40/37.25 | (578) element(all_0_14_14, all_240_0_173) = 0
% 83.40/37.25 | (579) ~ (all_293_0_222 = 0) | ~ (in(all_0_15_15, all_240_0_173) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_240_0_173) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_240_0_173) = v0))
% 83.40/37.25 |
% 83.40/37.25 | From (526) and (578) follows:
% 83.40/37.25 | (44) element(all_0_14_14, all_0_16_16) = 0
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (279), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (581) ~ (in(all_0_14_14, all_0_16_16) = 0)
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (151), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (582) all_78_0_102 = 0 & empty(all_0_16_16) = 0
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (582) yields:
% 83.40/37.25 | (583) all_78_0_102 = 0
% 83.40/37.25 | (532) empty(all_0_16_16) = 0
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (164), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (542) ~ (all_130_0_154 = 0) & the_carrier(all_0_18_18) = all_130_1_155 & empty(all_130_1_155) = all_130_0_154
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (542) yields:
% 83.40/37.25 | (543) ~ (all_130_0_154 = 0)
% 83.40/37.25 | (544) the_carrier(all_0_18_18) = all_130_1_155
% 83.40/37.25 | (545) empty(all_130_1_155) = all_130_0_154
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (99) with all_0_18_18, all_130_1_155, all_0_16_16 and discharging atoms the_carrier(all_0_18_18) = all_130_1_155, the_carrier(all_0_18_18) = all_0_16_16, yields:
% 83.40/37.25 | (546) all_130_1_155 = all_0_16_16
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (86) with all_0_16_16 and discharging atoms empty(all_0_16_16) = 0, yields:
% 83.40/37.25 | (547) all_0_16_16 = empty_set
% 83.40/37.25 |
% 83.40/37.25 | Combining equations (547,546) yields a new equation:
% 83.40/37.25 | (548) all_130_1_155 = empty_set
% 83.40/37.25 |
% 83.40/37.25 | From (548) and (545) follows:
% 83.40/37.25 | (549) empty(empty_set) = all_130_0_154
% 83.40/37.25 |
% 83.40/37.25 | From (547) and (532) follows:
% 83.40/37.25 | (5) empty(empty_set) = 0
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (98) with empty_set, all_130_0_154, 0 and discharging atoms empty(empty_set) = all_130_0_154, empty(empty_set) = 0, yields:
% 83.40/37.25 | (551) all_130_0_154 = 0
% 83.40/37.25 |
% 83.40/37.25 | Equations (551) can reduce 543 to:
% 83.40/37.25 | (161) $false
% 83.40/37.25 |
% 83.40/37.25 |-The branch is then unsatisfiable
% 83.40/37.25 |-Branch two:
% 83.40/37.25 | (553) ~ (all_130_1_155 = 0) & one_sorted_str(all_0_18_18) = all_130_1_155
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (553) yields:
% 83.40/37.25 | (554) ~ (all_130_1_155 = 0)
% 83.40/37.25 | (555) one_sorted_str(all_0_18_18) = all_130_1_155
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (153), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (533) (all_97_0_131 = 0 & empty_carrier(all_0_18_18) = 0) | ( ~ (all_97_0_131 = 0) & one_sorted_str(all_0_18_18) = all_97_0_131)
% 83.40/37.25 |
% 83.40/37.25 +-Applying beta-rule and splitting (533), into two cases.
% 83.40/37.25 |-Branch one:
% 83.40/37.25 | (534) all_97_0_131 = 0 & empty_carrier(all_0_18_18) = 0
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (534) yields:
% 83.40/37.25 | (535) all_97_0_131 = 0
% 83.40/37.25 | (536) empty_carrier(all_0_18_18) = 0
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (87) with all_0_18_18, 0, all_0_17_17 and discharging atoms empty_carrier(all_0_18_18) = all_0_17_17, empty_carrier(all_0_18_18) = 0, yields:
% 83.40/37.25 | (160) all_0_17_17 = 0
% 83.40/37.25 |
% 83.40/37.25 | Equations (160) can reduce 122 to:
% 83.40/37.25 | (161) $false
% 83.40/37.25 |
% 83.40/37.25 |-The branch is then unsatisfiable
% 83.40/37.25 |-Branch two:
% 83.40/37.25 | (539) ~ (all_97_0_131 = 0) & one_sorted_str(all_0_18_18) = all_97_0_131
% 83.40/37.25 |
% 83.40/37.25 | Applying alpha-rule on (539) yields:
% 83.40/37.25 | (540) ~ (all_97_0_131 = 0)
% 83.40/37.25 | (541) one_sorted_str(all_0_18_18) = all_97_0_131
% 83.40/37.25 |
% 83.40/37.25 | Instantiating formula (2) with all_0_18_18, all_97_0_131, all_130_1_155 and discharging atoms one_sorted_str(all_0_18_18) = all_130_1_155, one_sorted_str(all_0_18_18) = all_97_0_131, yields:
% 83.40/37.25 | (556) all_130_1_155 = all_97_0_131
% 83.40/37.25 |
% 83.40/37.26 | Equations (556) can reduce 554 to:
% 83.40/37.26 | (540) ~ (all_97_0_131 = 0)
% 83.40/37.26 |
% 83.40/37.26 | From (556) and (555) follows:
% 83.40/37.26 | (541) one_sorted_str(all_0_18_18) = all_97_0_131
% 83.40/37.26 |
% 83.40/37.26 | Instantiating formula (118) with all_97_0_131, all_0_18_18 and discharging atoms one_sorted_str(all_0_18_18) = all_97_0_131, yields:
% 83.40/37.26 | (559) all_97_0_131 = 0 | ? [v0] : ( ~ (v0 = 0) & rel_str(all_0_18_18) = v0)
% 83.40/37.26 |
% 83.40/37.26 | Instantiating formula (63) with all_0_18_18 and discharging atoms rel_str(all_0_18_18) = 0, yields:
% 83.40/37.26 | (560) one_sorted_str(all_0_18_18) = 0
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (559), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (535) all_97_0_131 = 0
% 83.40/37.26 |
% 83.40/37.26 | Equations (535) can reduce 540 to:
% 83.40/37.26 | (161) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (540) ~ (all_97_0_131 = 0)
% 83.40/37.26 | (564) ? [v0] : ( ~ (v0 = 0) & rel_str(all_0_18_18) = v0)
% 83.40/37.26 |
% 83.40/37.26 | Instantiating formula (2) with all_0_18_18, 0, all_97_0_131 and discharging atoms one_sorted_str(all_0_18_18) = all_97_0_131, one_sorted_str(all_0_18_18) = 0, yields:
% 83.40/37.26 | (535) all_97_0_131 = 0
% 83.40/37.26 |
% 83.40/37.26 | Equations (535) can reduce 540 to:
% 83.40/37.26 | (161) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (567) ~ (all_97_0_131 = 0) & empty(all_0_16_16) = all_97_0_131
% 83.40/37.26 |
% 83.40/37.26 | Applying alpha-rule on (567) yields:
% 83.40/37.26 | (540) ~ (all_97_0_131 = 0)
% 83.40/37.26 | (569) empty(all_0_16_16) = all_97_0_131
% 83.40/37.26 |
% 83.40/37.26 | Instantiating formula (98) with all_0_16_16, 0, all_97_0_131 and discharging atoms empty(all_0_16_16) = all_97_0_131, empty(all_0_16_16) = 0, yields:
% 83.40/37.26 | (535) all_97_0_131 = 0
% 83.40/37.26 |
% 83.40/37.26 | Equations (535) can reduce 540 to:
% 83.40/37.26 | (161) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (624) all_78_0_102 = 0 & in(all_0_14_14, all_0_16_16) = 0
% 83.40/37.26 |
% 83.40/37.26 | Applying alpha-rule on (624) yields:
% 83.40/37.26 | (583) all_78_0_102 = 0
% 83.40/37.26 | (626) in(all_0_14_14, all_0_16_16) = 0
% 83.40/37.26 |
% 83.40/37.26 | Using (626) and (581) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (626) in(all_0_14_14, all_0_16_16) = 0
% 83.40/37.26 | (629) ~ (all_72_0_96 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (192), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (581) ~ (in(all_0_14_14, all_0_16_16) = 0)
% 83.40/37.26 |
% 83.40/37.26 | Using (626) and (581) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (626) in(all_0_14_14, all_0_16_16) = 0
% 83.40/37.26 | (633) ~ (all_63_0_84 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (629), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (634) ~ (in(all_0_15_15, all_0_16_16) = 0)
% 83.40/37.26 |
% 83.40/37.26 | Using (574) and (634) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (574) in(all_0_15_15, all_0_16_16) = 0
% 83.40/37.26 | (637) ~ (all_72_0_96 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0))
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (633), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (169) ~ (all_63_0_84 = 0)
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (275), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (576) ~ (element(all_0_14_14, all_0_16_16) = 0)
% 83.40/37.26 |
% 83.40/37.26 | Using (44) and (576) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (44) element(all_0_14_14, all_0_16_16) = 0
% 83.40/37.26 | (642) ~ (all_72_0_96 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (642), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (634) ~ (in(all_0_15_15, all_0_16_16) = 0)
% 83.40/37.26 |
% 83.40/37.26 | Using (574) and (634) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (574) in(all_0_15_15, all_0_16_16) = 0
% 83.40/37.26 | (646) ~ (all_72_0_96 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (412), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (647) ~ (element(all_0_14_14, all_245_0_177) = 0)
% 83.40/37.26 |
% 83.40/37.26 | From (512) and (647) follows:
% 83.40/37.26 | (576) ~ (element(all_0_14_14, all_0_16_16) = 0)
% 83.40/37.26 |
% 83.40/37.26 | Using (44) and (576) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (650) element(all_0_14_14, all_245_0_177) = 0
% 83.40/37.26 | (651) ~ (all_348_0_234 = 0) | ~ (in(all_0_15_15, all_245_0_177) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_245_0_177) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_245_0_177) = v0))
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (579), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (652) ~ (in(all_0_15_15, all_240_0_173) = 0)
% 83.40/37.26 |
% 83.40/37.26 | From (526) and (652) follows:
% 83.40/37.26 | (634) ~ (in(all_0_15_15, all_0_16_16) = 0)
% 83.40/37.26 |
% 83.40/37.26 | Using (574) and (634) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (655) in(all_0_15_15, all_240_0_173) = 0
% 83.40/37.26 | (656) ~ (all_293_0_222 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_240_0_173) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_240_0_173) = v0))
% 83.40/37.26 |
% 83.40/37.26 | From (526) and (655) follows:
% 83.40/37.26 | (574) in(all_0_15_15, all_0_16_16) = 0
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (651), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (658) ~ (in(all_0_15_15, all_245_0_177) = 0)
% 83.40/37.26 |
% 83.40/37.26 | From (512) and (658) follows:
% 83.40/37.26 | (634) ~ (in(all_0_15_15, all_0_16_16) = 0)
% 83.40/37.26 |
% 83.40/37.26 | Using (574) and (634) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (661) in(all_0_15_15, all_245_0_177) = 0
% 83.40/37.26 | (662) ~ (all_348_0_234 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_245_0_177) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_245_0_177) = v0))
% 83.40/37.26 |
% 83.40/37.26 | From (512) and (661) follows:
% 83.40/37.26 | (574) in(all_0_15_15, all_0_16_16) = 0
% 83.40/37.26 |
% 83.40/37.26 | Instantiating formula (52) with all_0_15_15, all_0_16_16, 0, all_63_0_84 and discharging atoms in(all_0_15_15, all_0_16_16) = all_63_0_84, in(all_0_15_15, all_0_16_16) = 0, yields:
% 83.40/37.26 | (171) all_63_0_84 = 0
% 83.40/37.26 |
% 83.40/37.26 | Equations (171) can reduce 169 to:
% 83.40/37.26 | (161) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (171) all_63_0_84 = 0
% 83.40/37.26 | (667) ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.26 |
% 83.40/37.26 | Combining equations (171,322) yields a new equation:
% 83.40/37.26 | (668) all_192_0_164 = 0
% 83.40/37.26 |
% 83.40/37.26 | Instantiating (667) with all_523_0_787 yields:
% 83.40/37.26 | (669) (all_523_0_787 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (all_523_0_787 = 0) & element(all_0_14_14, all_0_16_16) = all_523_0_787)
% 83.40/37.26 |
% 83.40/37.26 | From (171) and (189) follows:
% 83.40/37.26 | (574) in(all_0_15_15, all_0_16_16) = 0
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (669), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (671) all_523_0_787 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0
% 83.40/37.26 |
% 83.40/37.26 | Applying alpha-rule on (671) yields:
% 83.40/37.26 | (672) all_523_0_787 = 0
% 83.40/37.26 | (673) related(all_0_18_18, all_0_15_15, all_0_14_14) = 0
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (191), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (576) ~ (element(all_0_14_14, all_0_16_16) = 0)
% 83.40/37.26 |
% 83.40/37.26 | Using (44) and (576) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (44) element(all_0_14_14, all_0_16_16) = 0
% 83.40/37.26 | (677) ~ (all_63_0_84 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (275), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (576) ~ (element(all_0_14_14, all_0_16_16) = 0)
% 83.40/37.26 |
% 83.40/37.26 | Using (44) and (576) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (44) element(all_0_14_14, all_0_16_16) = 0
% 83.40/37.26 | (642) ~ (all_72_0_96 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (193), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (169) ~ (all_63_0_84 = 0)
% 83.40/37.26 |
% 83.40/37.26 | Equations (171) can reduce 169 to:
% 83.40/37.26 | (161) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (171) all_63_0_84 = 0
% 83.40/37.26 | (685) all_0_13_13 = 0 | ? [v0] : (( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.26 |
% 83.40/37.26 +-Applying beta-rule and splitting (642), into two cases.
% 83.40/37.26 |-Branch one:
% 83.40/37.26 | (634) ~ (in(all_0_15_15, all_0_16_16) = 0)
% 83.40/37.26 |
% 83.40/37.26 | Using (574) and (634) yields:
% 83.40/37.26 | (577) $false
% 83.40/37.26 |
% 83.40/37.26 |-The branch is then unsatisfiable
% 83.40/37.26 |-Branch two:
% 83.40/37.26 | (574) in(all_0_15_15, all_0_16_16) = 0
% 83.40/37.26 | (646) ~ (all_72_0_96 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.26 |
% 83.40/37.27 +-Applying beta-rule and splitting (685), into two cases.
% 83.40/37.27 |-Branch one:
% 83.40/37.27 | (690) all_0_13_13 = 0
% 83.40/37.27 |
% 83.40/37.27 | Equations (690) can reduce 20 to:
% 83.40/37.27 | (161) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 |-Branch two:
% 83.40/37.27 | (20) ~ (all_0_13_13 = 0)
% 83.40/37.27 | (693) ? [v0] : (( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.27 |
% 83.40/37.27 +-Applying beta-rule and splitting (646), into two cases.
% 83.40/37.27 |-Branch one:
% 83.40/37.27 | (260) ~ (all_72_0_96 = 0)
% 83.40/37.27 |
% 83.40/37.27 | Equations (262) can reduce 260 to:
% 83.40/37.27 | (161) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 |-Branch two:
% 83.40/37.27 | (262) all_72_0_96 = 0
% 83.40/37.27 | (697) ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.27 |
% 83.40/37.27 +-Applying beta-rule and splitting (286), into two cases.
% 83.40/37.27 |-Branch one:
% 83.40/37.27 | (698) ~ (all_192_0_164 = 0)
% 83.40/37.27 |
% 83.40/37.27 | Equations (668) can reduce 698 to:
% 83.40/37.27 | (161) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 |-Branch two:
% 83.40/37.27 | (668) all_192_0_164 = 0
% 83.40/37.27 | (701) ~ (all_72_0_96 = 0) | all_0_13_13 = 0 | ? [v0] : (( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.27 |
% 83.40/37.27 +-Applying beta-rule and splitting (701), into two cases.
% 83.40/37.27 |-Branch one:
% 83.40/37.27 | (260) ~ (all_72_0_96 = 0)
% 83.40/37.27 |
% 83.40/37.27 | Equations (262) can reduce 260 to:
% 83.40/37.27 | (161) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 |-Branch two:
% 83.40/37.27 | (262) all_72_0_96 = 0
% 83.40/37.27 | (685) all_0_13_13 = 0 | ? [v0] : (( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.27 |
% 83.40/37.27 +-Applying beta-rule and splitting (685), into two cases.
% 83.40/37.27 |-Branch one:
% 83.40/37.27 | (690) all_0_13_13 = 0
% 83.40/37.27 |
% 83.40/37.27 | Equations (690) can reduce 20 to:
% 83.40/37.27 | (161) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 |-Branch two:
% 83.40/37.27 | (20) ~ (all_0_13_13 = 0)
% 83.40/37.27 | (693) ? [v0] : (( ~ (v0 = 0) & element(all_0_14_14, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.27 |
% 83.40/37.27 | Instantiating formula (61) with all_0_18_18, all_0_15_15, all_0_14_14, 0, all_0_13_13 and discharging atoms related(all_0_18_18, all_0_15_15, all_0_14_14) = all_0_13_13, related(all_0_18_18, all_0_15_15, all_0_14_14) = 0, yields:
% 83.40/37.27 | (690) all_0_13_13 = 0
% 83.40/37.27 |
% 83.40/37.27 | Equations (690) can reduce 20 to:
% 83.40/37.27 | (161) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 |-Branch two:
% 83.40/37.27 | (712) ~ (all_523_0_787 = 0) & element(all_0_14_14, all_0_16_16) = all_523_0_787
% 83.40/37.27 |
% 83.40/37.27 | Applying alpha-rule on (712) yields:
% 83.40/37.27 | (713) ~ (all_523_0_787 = 0)
% 83.40/37.27 | (714) element(all_0_14_14, all_0_16_16) = all_523_0_787
% 83.40/37.27 |
% 83.40/37.27 +-Applying beta-rule and splitting (191), into two cases.
% 83.40/37.27 |-Branch one:
% 83.40/37.27 | (576) ~ (element(all_0_14_14, all_0_16_16) = 0)
% 83.40/37.27 |
% 83.40/37.27 | Using (44) and (576) yields:
% 83.40/37.27 | (577) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 |-Branch two:
% 83.40/37.27 | (44) element(all_0_14_14, all_0_16_16) = 0
% 83.40/37.27 | (677) ~ (all_63_0_84 = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.27 |
% 83.40/37.27 +-Applying beta-rule and splitting (275), into two cases.
% 83.40/37.27 |-Branch one:
% 83.40/37.27 | (576) ~ (element(all_0_14_14, all_0_16_16) = 0)
% 83.40/37.27 |
% 83.40/37.27 | Using (44) and (576) yields:
% 83.40/37.27 | (577) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 |-Branch two:
% 83.40/37.27 | (44) element(all_0_14_14, all_0_16_16) = 0
% 83.40/37.27 | (642) ~ (all_72_0_96 = 0) | ~ (in(all_0_15_15, all_0_16_16) = 0) | ? [v0] : ((v0 = 0 & related(all_0_18_18, all_0_15_15, all_0_14_14) = 0) | ( ~ (v0 = 0) & element(all_0_15_15, all_0_16_16) = v0) | ( ~ (v0 = 0) & in(all_0_14_14, all_0_16_16) = v0))
% 83.40/37.27 |
% 83.40/37.27 | Instantiating formula (12) with all_0_14_14, all_0_16_16, all_523_0_787, 0 and discharging atoms element(all_0_14_14, all_0_16_16) = all_523_0_787, element(all_0_14_14, all_0_16_16) = 0, yields:
% 83.40/37.27 | (672) all_523_0_787 = 0
% 83.40/37.27 |
% 83.40/37.27 | Equations (672) can reduce 713 to:
% 83.40/37.27 | (161) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 |-Branch two:
% 83.40/37.27 | (725) ~ (all_70_2_93 = 0) & full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = all_70_2_93
% 83.40/37.27 |
% 83.40/37.27 | Applying alpha-rule on (725) yields:
% 83.40/37.27 | (726) ~ (all_70_2_93 = 0)
% 83.40/37.27 | (727) full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = all_70_2_93
% 83.40/37.27 |
% 83.40/37.27 | Instantiating formula (82) with all_0_18_18, all_0_22_22, all_0_21_21, all_70_2_93, 0 and discharging atoms full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = all_70_2_93, full_subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0, yields:
% 83.40/37.27 | (728) all_70_2_93 = 0
% 83.40/37.27 |
% 83.40/37.27 | Equations (728) can reduce 726 to:
% 83.40/37.27 | (161) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 |-Branch two:
% 83.40/37.27 | (730) ~ (all_112_1_149 = 0) & subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = all_112_1_149
% 83.40/37.27 |
% 83.40/37.27 | Applying alpha-rule on (730) yields:
% 83.40/37.27 | (731) ~ (all_112_1_149 = 0)
% 83.40/37.27 | (732) subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = all_112_1_149
% 83.40/37.27 |
% 83.40/37.27 | Instantiating formula (88) with all_0_18_18, all_0_22_22, all_0_21_21, all_112_1_149, 0 and discharging atoms subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = all_112_1_149, subnetstr(all_0_18_18, all_0_22_22, all_0_21_21) = 0, yields:
% 83.40/37.27 | (157) all_112_1_149 = 0
% 83.40/37.27 |
% 83.40/37.27 | Equations (157) can reduce 731 to:
% 83.40/37.27 | (161) $false
% 83.40/37.27 |
% 83.40/37.27 |-The branch is then unsatisfiable
% 83.40/37.27 % SZS output end Proof for theBenchmark
% 83.40/37.27
% 83.40/37.27 36735ms
%------------------------------------------------------------------------------