%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SEU362+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n027.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 08:49:11 EDT 2022

% Result   : Theorem 29.81s 9.23s
% Output   : Proof 66.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU362+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 00:44:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.51/0.57          ____       _                          
% 0.51/0.57    ___  / __ \_____(_)___  ________  __________
% 0.51/0.57   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.57  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.51/0.57  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.51/0.57  
% 0.51/0.57  A Theorem Prover for First-Order Logic
% 0.51/0.57  (ePrincess v.1.0)
% 0.51/0.57  
% 0.51/0.57  (c) Philipp Rümmer, 2009-2015
% 0.51/0.57  (c) Peter Backeman, 2014-2015
% 0.51/0.57  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.57  Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.57  Bug reports to peter@backeman.se
% 0.51/0.57  
% 0.51/0.57  For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.57  
% 0.51/0.58  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.51/0.63  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.64/0.96  Prover 0: Preprocessing ...
% 2.43/1.23  Prover 0: Warning: ignoring some quantifiers
% 2.43/1.26  Prover 0: Constructing countermodel ...
% 17.23/5.92  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 17.40/5.97  Prover 1: Preprocessing ...
% 17.93/6.10  Prover 1: Warning: ignoring some quantifiers
% 17.93/6.11  Prover 1: Constructing countermodel ...
% 26.62/8.51  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 26.75/8.55  Prover 2: Preprocessing ...
% 27.46/8.74  Prover 2: Warning: ignoring some quantifiers
% 27.46/8.75  Prover 2: Constructing countermodel ...
% 29.65/9.23  Prover 2: proved (716ms)
% 29.81/9.23  Prover 0: stopped
% 29.81/9.23  Prover 1: stopped
% 29.81/9.23  
% 29.81/9.23  No countermodel exists, formula is valid
% 29.81/9.23  % SZS status Theorem for theBenchmark
% 29.81/9.23  
% 29.81/9.23  Generating proof ... Warning: ignoring some quantifiers
% 65.61/30.67  found it (size 208)
% 65.61/30.67  
% 65.61/30.67  % SZS output start Proof for theBenchmark
% 65.61/30.67  Assumed formulas after preprocessing and simplification: 
% 65.61/30.67  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ( ~ (v11 = 0) &  ~ (v8 = 0) &  ~ (v6 = 0) & one_sorted_str(v12) = 0 & related(v2, v4, v5) = 0 & related(v0, v4, v5) = v6 & the_carrier(v2) = v3 & the_carrier(v0) = v1 & rel_str(v13) = 0 & rel_str(v0) = 0 & subrelstr(v2, v0) = 0 & element(v5, v3) = 0 & element(v5, v1) = 0 & element(v4, v3) = 0 & element(v4, v1) = 0 & finite(v10) = 0 & empty(v10) = v11 & empty(v9) = 0 & empty(v7) = v8 & empty(empty_set) = 0 &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v19 = 0 |  ~ (cartesian_product2(v14, v15) = v17) |  ~ (powerset(v17) = v18) |  ~ (element(v16, v18) = v19) |  ? [v20] : ( ~ (v20 = 0) & relation_of2_as_subset(v16, v14, v15) = v20)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v18 = 0 |  ~ (powerset(v16) = v17) |  ~ (element(v15, v17) = 0) |  ~ (element(v14, v16) = v18) |  ? [v19] : ( ~ (v19 = 0) & in(v14, v15) = v19)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v15 = v14 |  ~ (relation_of2(v18, v17, v16) = v15) |  ~ (relation_of2(v18, v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v15 = v14 |  ~ (relation_of2_as_subset(v18, v17, v16) = v15) |  ~ (relation_of2_as_subset(v18, v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v15 = v14 |  ~ (related(v18, v17, v16) = v15) |  ~ (related(v18, v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (cartesian_product2(v14, v15) = v17) |  ~ (powerset(v17) = v18) |  ~ (element(v16, v18) = 0) | relation(v16) = 0) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (relation_of2(v16, v14, v15) = v17) |  ? [v18] : ( ~ (v18 = 0) & relation_of2_as_subset(v16, v14, v15) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (relation_of2_as_subset(v16, v14, v15) = v17) |  ? [v18] : ( ~ (v18 = 0) & relation_of2(v16, v14, v15) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (powerset(v15) = v16) |  ~ (element(v14, v16) = v17) |  ? [v18] : ( ~ (v18 = 0) & subset(v14, v15) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (powerset(v14) = v15) |  ~ (finite(v16) = v17) |  ? [v18] : (( ~ (v18 = 0) & element(v16, v15) = v18) | ( ~ (v18 = 0) & finite(v14) = v18))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (element(v14, v16) = v17) |  ~ (in(v14, v15) = 0) |  ? [v18] :  ? [v19] : ( ~ (v19 = 0) & powerset(v16) = v18 & element(v15, v18) = v19)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (ordered_pair(v17, v16) = v15) |  ~ (ordered_pair(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (subrelstr(v17, v16) = v15) |  ~ (subrelstr(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (subset(v17, v16) = v15) |  ~ (subset(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (cartesian_product2(v17, v16) = v15) |  ~ (cartesian_product2(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (element(v17, v16) = v15) |  ~ (element(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (in(v17, v16) = v15) |  ~ (in(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (powerset(v16) = v17) |  ~ (element(v15, v17) = 0) |  ~ (in(v14, v15) = 0) | element(v14, v16) = 0) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (powerset(v16) = v17) |  ~ (element(v15, v17) = 0) |  ~ (in(v14, v15) = 0) |  ? [v18] : ( ~ (v18 = 0) & empty(v16) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (rel_str(v15) = v16) |  ~ (rel_str(v14) = 0) |  ? [v17] : ( ~ (v17 = 0) & subrelstr(v15, v14) = v17)) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (subset(v14, v15) = v16) |  ? [v17] :  ? [v18] : ( ~ (v18 = 0) & powerset(v15) = v17 & element(v14, v17) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (element(v14, v15) = v16) |  ? [v17] : ( ~ (v17 = 0) & in(v14, v15) = v17)) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (in(v14, v15) = v16) |  ? [v17] : ((v17 = 0 & empty(v15) = 0) | ( ~ (v17 = 0) & element(v14, v15) = v17))) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (one_sorted_str(v16) = v15) |  ~ (one_sorted_str(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (the_carrier(v16) = v15) |  ~ (the_carrier(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (rel_str(v16) = v15) |  ~ (rel_str(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (the_InternalRel(v16) = v15) |  ~ (the_InternalRel(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (powerset(v16) = v15) |  ~ (powerset(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (relation(v16) = v15) |  ~ (relation(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (finite(v16) = v15) |  ~ (finite(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (empty(v16) = v15) |  ~ (empty(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (relation_of2(v16, v14, v15) = 0) | relation_of2_as_subset(v16, v14, v15) = 0) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (relation_of2_as_subset(v16, v14, v15) = 0) | relation_of2(v16, v14, v15) = 0) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (relation_of2_as_subset(v16, v14, v15) = 0) |  ? [v17] :  ? [v18] : (cartesian_product2(v14, v15) = v17 & powerset(v17) = v18 & element(v16, v18) = 0)) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (cartesian_product2(v14, v15) = v16) |  ? [v17] : ((v17 = 0 & finite(v16) = 0) | ( ~ (v17 = 0) & finite(v15) = v17) | ( ~ (v17 = 0) & finite(v14) = v17))) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (powerset(v15) = v16) |  ~ (element(v14, v16) = 0) | subset(v14, v15) = 0) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (powerset(v14) = v15) |  ~ (element(v16, v15) = 0) |  ? [v17] : ((v17 = 0 & finite(v16) = 0) | ( ~ (v17 = 0) & finite(v14) = v17))) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (empty(v16) = 0) |  ~ (in(v14, v15) = 0) |  ? [v17] :  ? [v18] : ( ~ (v18 = 0) & powerset(v16) = v17 & element(v15, v17) = v18)) &  ! [v14] :  ! [v15] : (v15 = v14 |  ~ (empty(v15) = 0) |  ~ (empty(v14) = 0)) &  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (one_sorted_str(v14) = v15) |  ? [v16] : ( ~ (v16 = 0) & rel_str(v14) = v16)) &  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (subset(v14, v14) = v15)) &  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (finite(v14) = v15) |  ? [v16] : ( ~ (v16 = 0) & empty(v14) = v16)) &  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (empty(v14) = v15) |  ? [v16] :  ? [v17] :  ? [v18] : ( ~ (v18 = 0) & powerset(v14) = v16 & element(v17, v16) = 0 & finite(v17) = 0 & empty(v17) = v18)) &  ! [v14] :  ! [v15] : ( ~ (the_carrier(v14) = v15) |  ? [v16] :  ? [v17] : ((v17 = 0 & relation_of2_as_subset(v16, v15, v15) = 0 & the_InternalRel(v14) = v16) | ( ~ (v16 = 0) & rel_str(v14) = v16))) &  ! [v14] :  ! [v15] : ( ~ (the_carrier(v14) = v15) |  ? [v16] : (( ~ (v16 = 0) & rel_str(v14) = v16) | (the_InternalRel(v14) = v16 &  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (ordered_pair(v17, v18) = v19) |  ~ (element(v17, v15) = 0) |  ? [v20] :  ? [v21] : (( ~ (v20 = 0) & element(v18, v15) = v20) | (((v21 = 0 & in(v19, v16) = 0) | ( ~ (v20 = 0) & related(v14, v17, v18) = v20)) & ((v20 = 0 & related(v14, v17, v18) = 0) | ( ~ (v21 = 0) & in(v19, v16) = v21))))) &  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (related(v14, v17, v18) = v19) |  ~ (element(v17, v15) = 0) |  ? [v20] :  ? [v21] : (( ~ (v20 = 0) & element(v18, v15) = v20) | (( ~ (v19 = 0) | (v21 = 0 & ordered_pair(v17, v18) = v20 & in(v20, v16) = 0)) & (v19 = 0 | ( ~ (v21 = 0) & ordered_pair(v17, v18) = v20 & in(v20, v16) = v21))))) &  ! [v17] :  ! [v18] : ( ~ (element(v18, v15) = 0) |  ~ (element(v17, v15) = 0) |  ? [v19] :  ? [v20] :  ? [v21] : (((v21 = 0 & ordered_pair(v17, v18) = v20 & in(v20, v16) = 0) | ( ~ (v19 = 0) & related(v14, v17, v18) = v19)) & ((v19 = 0 & related(v14, v17, v18) = 0) | ( ~ (v21 = 0) & ordered_pair(v17, v18) = v20 & in(v20, v16) = v21))))))) &  ! [v14] :  ! [v15] : ( ~ (the_carrier(v14) = v15) |  ? [v16] : (( ~ (v16 = 0) & rel_str(v14) = v16) | (the_InternalRel(v14) = v16 &  ! [v17] :  ! [v18] : ( ~ (the_carrier(v17) = v18) |  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (((v22 = 0 & v20 = 0 & the_InternalRel(v17) = v21 & subset(v21, v16) = 0 & subset(v18, v15) = 0) | ( ~ (v19 = 0) & subrelstr(v17, v14) = v19)) & ((v19 = 0 & subrelstr(v17, v14) = 0) | ( ~ (v22 = 0) & the_InternalRel(v17) = v21 & subset(v21, v16) = v22) | ( ~ (v20 = 0) & subset(v18, v15) = v20))))) &  ! [v17] :  ! [v18] : ( ~ (subrelstr(v17, v14) = v18) |  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (( ~ (v18 = 0) | (v22 = 0 & v20 = 0 & the_carrier(v17) = v19 & the_InternalRel(v17) = v21 & subset(v21, v16) = 0 & subset(v19, v15) = 0)) & (v18 = 0 | ( ~ (v22 = 0) & the_InternalRel(v17) = v21 & subset(v21, v16) = v22) | ( ~ (v20 = 0) & the_carrier(v17) = v19 & subset(v19, v15) = v20))))) &  ! [v17] :  ! [v18] : ( ~ (the_InternalRel(v17) = v18) |  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (((v22 = 0 & v21 = 0 & the_carrier(v17) = v20 & subset(v20, v15) = 0 & subset(v18, v16) = 0) | ( ~ (v19 = 0) & subrelstr(v17, v14) = v19)) & ((v19 = 0 & subrelstr(v17, v14) = 0) | ( ~ (v22 = 0) & subset(v18, v16) = v22) | ( ~ (v21 = 0) & the_carrier(v17) = v20 & subset(v20, v15) = v21))))) &  ! [v17] : ( ~ (rel_str(v17) = 0) |  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (((v22 = 0 & v20 = 0 & the_carrier(v17) = v19 & the_InternalRel(v17) = v21 & subset(v21, v16) = 0 & subset(v19, v15) = 0) | ( ~ (v18 = 0) & subrelstr(v17, v14) = v18)) & ((v18 = 0 & subrelstr(v17, v14) = 0) | ( ~ (v22 = 0) & the_InternalRel(v17) = v21 & subset(v21, v16) = v22) | ( ~ (v20 = 0) & the_carrier(v17) = v19 & subset(v19, v15) = v20))))))) &  ! [v14] :  ! [v15] : ( ~ (rel_str(v14) = 0) |  ~ (subrelstr(v15, v14) = 0) | rel_str(v15) = 0) &  ! [v14] :  ! [v15] : ( ~ (the_InternalRel(v14) = v15) |  ? [v16] :  ? [v17] : ((v17 = 0 & relation_of2_as_subset(v15, v16, v16) = 0 & the_carrier(v14) = v16) | ( ~ (v16 = 0) & rel_str(v14) = v16))) &  ! [v14] :  ! [v15] : ( ~ (the_InternalRel(v14) = v15) |  ? [v16] : (( ~ (v16 = 0) & rel_str(v14) = v16) | (the_carrier(v14) = v16 &  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (ordered_pair(v17, v18) = v19) |  ~ (element(v17, v16) = 0) |  ? [v20] :  ? [v21] : (( ~ (v20 = 0) & element(v18, v16) = v20) | (((v21 = 0 & in(v19, v15) = 0) | ( ~ (v20 = 0) & related(v14, v17, v18) = v20)) & ((v20 = 0 & related(v14, v17, v18) = 0) | ( ~ (v21 = 0) & in(v19, v15) = v21))))) &  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (related(v14, v17, v18) = v19) |  ~ (element(v17, v16) = 0) |  ? [v20] :  ? [v21] : (( ~ (v20 = 0) & element(v18, v16) = v20) | (( ~ (v19 = 0) | (v21 = 0 & ordered_pair(v17, v18) = v20 & in(v20, v15) = 0)) & (v19 = 0 | ( ~ (v21 = 0) & ordered_pair(v17, v18) = v20 & in(v20, v15) = v21))))) &  ! [v17] :  ! [v18] : ( ~ (element(v18, v16) = 0) |  ~ (element(v17, v16) = 0) |  ? [v19] :  ? [v20] :  ? [v21] : (((v21 = 0 & ordered_pair(v17, v18) = v20 & in(v20, v15) = 0) | ( ~ (v19 = 0) & related(v14, v17, v18) = v19)) & ((v19 = 0 & related(v14, v17, v18) = 0) | ( ~ (v21 = 0) & ordered_pair(v17, v18) = v20 & in(v20, v15) = v21))))))) &  ! [v14] :  ! [v15] : ( ~ (the_InternalRel(v14) = v15) |  ? [v16] : (( ~ (v16 = 0) & rel_str(v14) = v16) | (the_carrier(v14) = v16 &  ! [v17] :  ! [v18] : ( ~ (the_carrier(v17) = v18) |  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (((v22 = 0 & v20 = 0 & the_InternalRel(v17) = v21 & subset(v21, v15) = 0 & subset(v18, v16) = 0) | ( ~ (v19 = 0) & subrelstr(v17, v14) = v19)) & ((v19 = 0 & subrelstr(v17, v14) = 0) | ( ~ (v22 = 0) & the_InternalRel(v17) = v21 & subset(v21, v15) = v22) | ( ~ (v20 = 0) & subset(v18, v16) = v20))))) &  ! [v17] :  ! [v18] : ( ~ (subrelstr(v17, v14) = v18) |  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (( ~ (v18 = 0) | (v22 = 0 & v20 = 0 & the_carrier(v17) = v19 & the_InternalRel(v17) = v21 & subset(v21, v15) = 0 & subset(v19, v16) = 0)) & (v18 = 0 | ( ~ (v22 = 0) & the_InternalRel(v17) = v21 & subset(v21, v15) = v22) | ( ~ (v20 = 0) & the_carrier(v17) = v19 & subset(v19, v16) = v20))))) &  ! [v17] :  ! [v18] : ( ~ (the_InternalRel(v17) = v18) |  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (((v22 = 0 & v21 = 0 & the_carrier(v17) = v20 & subset(v20, v16) = 0 & subset(v18, v15) = 0) | ( ~ (v19 = 0) & subrelstr(v17, v14) = v19)) & ((v19 = 0 & subrelstr(v17, v14) = 0) | ( ~ (v22 = 0) & subset(v18, v15) = v22) | ( ~ (v21 = 0) & the_carrier(v17) = v20 & subset(v20, v16) = v21))))) &  ! [v17] : ( ~ (rel_str(v17) = 0) |  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (((v22 = 0 & v20 = 0 & the_carrier(v17) = v19 & the_InternalRel(v17) = v21 & subset(v21, v15) = 0 & subset(v19, v16) = 0) | ( ~ (v18 = 0) & subrelstr(v17, v14) = v18)) & ((v18 = 0 & subrelstr(v17, v14) = 0) | ( ~ (v22 = 0) & the_InternalRel(v17) = v21 & subset(v21, v15) = v22) | ( ~ (v20 = 0) & the_carrier(v17) = v19 & subset(v19, v16) = v20))))))) &  ! [v14] :  ! [v15] : ( ~ (subset(v14, v15) = 0) |  ? [v16] : (powerset(v15) = v16 & element(v14, v16) = 0)) &  ! [v14] :  ! [v15] : ( ~ (powerset(v14) = v15) |  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] : ((v19 = 0 & v17 = 0 &  ~ (v18 = 0) & element(v16, v15) = 0 & finite(v16) = 0 & empty(v16) = v18) | (v16 = 0 & empty(v14) = 0))) &  ! [v14] :  ! [v15] : ( ~ (element(v14, v15) = 0) |  ? [v16] : ((v16 = 0 & empty(v15) = 0) | (v16 = 0 & in(v14, v15) = 0))) &  ! [v14] :  ! [v15] : ( ~ (in(v15, v14) = 0) |  ? [v16] : ( ~ (v16 = 0) & in(v14, v15) = v16)) &  ! [v14] :  ! [v15] : ( ~ (in(v14, v15) = 0) | element(v14, v15) = 0) &  ! [v14] :  ! [v15] : ( ~ (in(v14, v15) = 0) |  ? [v16] : ( ~ (v16 = 0) & empty(v15) = v16)) &  ! [v14] :  ! [v15] : ( ~ (in(v14, v15) = 0) |  ? [v16] : ( ~ (v16 = 0) & in(v15, v14) = v16)) &  ! [v14] : (v14 = empty_set |  ~ (empty(v14) = 0)) &  ! [v14] : ( ~ (rel_str(v14) = 0) | one_sorted_str(v14) = 0) &  ! [v14] : ( ~ (rel_str(v14) = 0) |  ? [v15] :  ? [v16] : (relation_of2_as_subset(v15, v16, v16) = 0 & the_carrier(v14) = v16 & the_InternalRel(v14) = v15)) &  ! [v14] : ( ~ (rel_str(v14) = 0) |  ? [v15] :  ? [v16] : (the_carrier(v14) = v15 & the_InternalRel(v14) = v16 &  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (ordered_pair(v17, v18) = v19) |  ~ (element(v17, v15) = 0) |  ? [v20] :  ? [v21] : (( ~ (v20 = 0) & element(v18, v15) = v20) | (((v21 = 0 & in(v19, v16) = 0) | ( ~ (v20 = 0) & related(v14, v17, v18) = v20)) & ((v20 = 0 & related(v14, v17, v18) = 0) | ( ~ (v21 = 0) & in(v19, v16) = v21))))) &  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (related(v14, v17, v18) = v19) |  ~ (element(v17, v15) = 0) |  ? [v20] :  ? [v21] : (( ~ (v20 = 0) & element(v18, v15) = v20) | (( ~ (v19 = 0) | (v21 = 0 & ordered_pair(v17, v18) = v20 & in(v20, v16) = 0)) & (v19 = 0 | ( ~ (v21 = 0) & ordered_pair(v17, v18) = v20 & in(v20, v16) = v21))))) &  ! [v17] :  ! [v18] : ( ~ (element(v18, v15) = 0) |  ~ (element(v17, v15) = 0) |  ? [v19] :  ? [v20] :  ? [v21] : (((v21 = 0 & ordered_pair(v17, v18) = v20 & in(v20, v16) = 0) | ( ~ (v19 = 0) & related(v14, v17, v18) = v19)) & ((v19 = 0 & related(v14, v17, v18) = 0) | ( ~ (v21 = 0) & ordered_pair(v17, v18) = v20 & in(v20, v16) = v21)))))) &  ! [v14] : ( ~ (rel_str(v14) = 0) |  ? [v15] :  ? [v16] : (the_carrier(v14) = v15 & the_InternalRel(v14) = v16 &  ! [v17] :  ! [v18] : ( ~ (the_carrier(v17) = v18) |  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (((v22 = 0 & v20 = 0 & the_InternalRel(v17) = v21 & subset(v21, v16) = 0 & subset(v18, v15) = 0) | ( ~ (v19 = 0) & subrelstr(v17, v14) = v19)) & ((v19 = 0 & subrelstr(v17, v14) = 0) | ( ~ (v22 = 0) & the_InternalRel(v17) = v21 & subset(v21, v16) = v22) | ( ~ (v20 = 0) & subset(v18, v15) = v20))))) &  ! [v17] :  ! [v18] : ( ~ (subrelstr(v17, v14) = v18) |  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (( ~ (v18 = 0) | (v22 = 0 & v20 = 0 & the_carrier(v17) = v19 & the_InternalRel(v17) = v21 & subset(v21, v16) = 0 & subset(v19, v15) = 0)) & (v18 = 0 | ( ~ (v22 = 0) & the_InternalRel(v17) = v21 & subset(v21, v16) = v22) | ( ~ (v20 = 0) & the_carrier(v17) = v19 & subset(v19, v15) = v20))))) &  ! [v17] :  ! [v18] : ( ~ (the_InternalRel(v17) = v18) |  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (((v22 = 0 & v21 = 0 & the_carrier(v17) = v20 & subset(v20, v15) = 0 & subset(v18, v16) = 0) | ( ~ (v19 = 0) & subrelstr(v17, v14) = v19)) & ((v19 = 0 & subrelstr(v17, v14) = 0) | ( ~ (v22 = 0) & subset(v18, v16) = v22) | ( ~ (v21 = 0) & the_carrier(v17) = v20 & subset(v20, v15) = v21))))) &  ! [v17] : ( ~ (rel_str(v17) = 0) |  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (((v22 = 0 & v20 = 0 & the_carrier(v17) = v19 & the_InternalRel(v17) = v21 & subset(v21, v16) = 0 & subset(v19, v15) = 0) | ( ~ (v18 = 0) & subrelstr(v17, v14) = v18)) & ((v18 = 0 & subrelstr(v17, v14) = 0) | ( ~ (v22 = 0) & the_InternalRel(v17) = v21 & subset(v21, v16) = v22) | ( ~ (v20 = 0) & the_carrier(v17) = v19 & subset(v19, v15) = v20)))))) &  ! [v14] : ( ~ (rel_str(v14) = 0) |  ? [v15] : subrelstr(v15, v14) = 0) &  ! [v14] : ( ~ (finite(v14) = 0) |  ? [v15] : (powerset(v14) = v15 &  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (finite(v16) = v17) |  ? [v18] : ( ~ (v18 = 0) & element(v16, v15) = v18)) &  ! [v16] : ( ~ (element(v16, v15) = 0) | finite(v16) = 0))) &  ! [v14] : ( ~ (empty(v14) = 0) | finite(v14) = 0) &  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : relation_of2(v16, v15, v14) = v17 &  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : relation_of2_as_subset(v16, v15, v14) = v17 &  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : related(v16, v15, v14) = v17 &  ? [v14] :  ? [v15] :  ? [v16] : relation_of2(v16, v14, v15) = 0 &  ? [v14] :  ? [v15] :  ? [v16] : relation_of2_as_subset(v16, v14, v15) = 0 &  ? [v14] :  ? [v15] :  ? [v16] : ordered_pair(v15, v14) = v16 &  ? [v14] :  ? [v15] :  ? [v16] : subrelstr(v15, v14) = v16 &  ? [v14] :  ? [v15] :  ? [v16] : subset(v15, v14) = v16 &  ? [v14] :  ? [v15] :  ? [v16] : cartesian_product2(v15, v14) = v16 &  ? [v14] :  ? [v15] :  ? [v16] : element(v15, v14) = v16 &  ? [v14] :  ? [v15] :  ? [v16] : in(v15, v14) = v16 &  ? [v14] :  ? [v15] : one_sorted_str(v14) = v15 &  ? [v14] :  ? [v15] : the_carrier(v14) = v15 &  ? [v14] :  ? [v15] : rel_str(v14) = v15 &  ? [v14] :  ? [v15] : the_InternalRel(v14) = v15 &  ? [v14] :  ? [v15] : powerset(v14) = v15 &  ? [v14] :  ? [v15] : element(v15, v14) = 0 &  ? [v14] :  ? [v15] : relation(v14) = v15 &  ? [v14] :  ? [v15] : finite(v14) = v15 &  ? [v14] :  ? [v15] : empty(v14) = v15)
% 65.93/30.75  | 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 yields:
% 65.93/30.75  | (1)  ~ (all_0_2_2 = 0) &  ~ (all_0_5_5 = 0) &  ~ (all_0_7_7 = 0) & one_sorted_str(all_0_1_1) = 0 & related(all_0_11_11, all_0_9_9, all_0_8_8) = 0 & related(all_0_13_13, all_0_9_9, all_0_8_8) = all_0_7_7 & the_carrier(all_0_11_11) = all_0_10_10 & the_carrier(all_0_13_13) = all_0_12_12 & rel_str(all_0_0_0) = 0 & rel_str(all_0_13_13) = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0 & element(all_0_8_8, all_0_10_10) = 0 & element(all_0_8_8, all_0_12_12) = 0 & element(all_0_9_9, all_0_10_10) = 0 & element(all_0_9_9, all_0_12_12) = 0 & finite(all_0_3_3) = 0 & empty(all_0_3_3) = all_0_2_2 & empty(all_0_4_4) = 0 & empty(all_0_6_6) = all_0_5_5 & empty(empty_set) = 0 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (cartesian_product2(v0, v1) = v3) |  ~ (powerset(v3) = v4) |  ~ (element(v2, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation_of2_as_subset(v2, v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (element(v0, v2) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_of2(v4, v3, v2) = v1) |  ~ (relation_of2(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_of2_as_subset(v4, v3, v2) = v1) |  ~ (relation_of2_as_subset(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (related(v4, v3, v2) = v1) |  ~ (related(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ (powerset(v3) = v4) |  ~ (element(v2, v4) = 0) | relation(v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_of2(v2, v0, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_of2_as_subset(v2, v0, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation_of2(v2, v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (powerset(v0) = v1) |  ~ (finite(v2) = v3) |  ? [v4] : (( ~ (v4 = 0) & element(v2, v1) = v4) | ( ~ (v4 = 0) & finite(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (element(v0, v2) = v3) |  ~ (in(v0, v1) = 0) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & powerset(v2) = v4 & element(v1, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subrelstr(v3, v2) = v1) |  ~ (subrelstr(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset(v3, v2) = v1) |  ~ (subset(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (cartesian_product2(v3, v2) = v1) |  ~ (cartesian_product2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (element(v3, v2) = v1) |  ~ (element(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (in(v3, v2) = v1) |  ~ (in(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (in(v0, v1) = 0) | element(v0, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (in(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4)) &  ! [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 |  ~ (subset(v0, v1) = v2) |  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & powerset(v1) = v3 & element(v0, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (element(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = 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 |  ~ (one_sorted_str(v2) = v1) |  ~ (one_sorted_str(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_carrier(v2) = v1) |  ~ (the_carrier(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (rel_str(v2) = v1) |  ~ (rel_str(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_InternalRel(v2) = v1) |  ~ (the_InternalRel(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation(v2) = v1) |  ~ (relation(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (finite(v2) = v1) |  ~ (finite(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty(v2) = v1) |  ~ (empty(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_of2(v2, v0, v1) = 0) | relation_of2_as_subset(v2, v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_of2_as_subset(v2, v0, v1) = 0) | relation_of2(v2, v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_of2_as_subset(v2, v0, v1) = 0) |  ? [v3] :  ? [v4] : (cartesian_product2(v0, v1) = v3 & powerset(v3) = v4 & element(v2, v4) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ? [v3] : ((v3 = 0 & finite(v2) = 0) | ( ~ (v3 = 0) & finite(v1) = v3) | ( ~ (v3 = 0) & finite(v0) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = 0) | subset(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ (element(v2, v1) = 0) |  ? [v3] : ((v3 = 0 & finite(v2) = 0) | ( ~ (v3 = 0) & finite(v0) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (empty(v2) = 0) |  ~ (in(v0, v1) = 0) |  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & powerset(v2) = v3 & element(v1, v3) = v4)) &  ! [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 |  ~ (subset(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (finite(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & element(v3, v2) = 0 & finite(v3) = 0 & empty(v3) = v4)) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] :  ? [v3] : ((v3 = 0 & relation_of2_as_subset(v2, v1, v1) = 0 & the_InternalRel(v0) = v2) | ( ~ (v2 = 0) & rel_str(v0) = v2))) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_InternalRel(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v3, v4) = v5) |  ~ (element(v3, v1) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v1) = v6) | (((v7 = 0 & in(v5, v2) = 0) | ( ~ (v6 = 0) & related(v0, v3, v4) = v6)) & ((v6 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & in(v5, v2) = v7))))) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (related(v0, v3, v4) = v5) |  ~ (element(v3, v1) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v1) = v6) | (( ~ (v5 = 0) | (v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v2) = 0)) & (v5 = 0 | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v2) = v7))))) &  ! [v3] :  ! [v4] : ( ~ (element(v4, v1) = 0) |  ~ (element(v3, v1) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (((v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v2) = 0) | ( ~ (v5 = 0) & related(v0, v3, v4) = v5)) & ((v5 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v2) = v7))))))) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_InternalRel(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (the_carrier(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & subset(v4, v1) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (subrelstr(v3, v0) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (the_InternalRel(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v2) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v1) = v7))))) &  ! [v3] : ( ~ (rel_str(v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))))) &  ! [v0] :  ! [v1] : ( ~ (rel_str(v0) = 0) |  ~ (subrelstr(v1, v0) = 0) | rel_str(v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] : ((v3 = 0 & relation_of2_as_subset(v1, v2, v2) = 0 & the_carrier(v0) = v2) | ( ~ (v2 = 0) & rel_str(v0) = v2))) &  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_carrier(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v3, v4) = v5) |  ~ (element(v3, v2) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v2) = v6) | (((v7 = 0 & in(v5, v1) = 0) | ( ~ (v6 = 0) & related(v0, v3, v4) = v6)) & ((v6 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & in(v5, v1) = v7))))) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (related(v0, v3, v4) = v5) |  ~ (element(v3, v2) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v2) = v6) | (( ~ (v5 = 0) | (v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v1) = 0)) & (v5 = 0 | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v1) = v7))))) &  ! [v3] :  ! [v4] : ( ~ (element(v4, v2) = 0) |  ~ (element(v3, v2) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (((v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v1) = 0) | ( ~ (v5 = 0) & related(v0, v3, v4) = v5)) & ((v5 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v1) = v7))))))) &  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_carrier(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (the_carrier(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & subset(v4, v2) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (subrelstr(v3, v0) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v5, v2) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v2) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (the_InternalRel(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v1) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v2) = v7))))) &  ! [v3] : ( ~ (rel_str(v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v5, v2) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v2) = v6))))))) &  ! [v0] :  ! [v1] : ( ~ (subset(v0, v1) = 0) |  ? [v2] : (powerset(v1) = v2 & element(v0, v2) = 0)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ((v5 = 0 & v3 = 0 &  ~ (v4 = 0) & element(v2, v1) = 0 & finite(v2) = 0 & empty(v2) = v4) | (v2 = 0 & empty(v0) = 0))) &  ! [v0] :  ! [v1] : ( ~ (element(v0, v1) = 0) |  ? [v2] : ((v2 = 0 & empty(v1) = 0) | (v2 = 0 & in(v0, v1) = 0))) &  ! [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] : ( ~ (rel_str(v0) = 0) | one_sorted_str(v0) = 0) &  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] : (relation_of2_as_subset(v1, v2, v2) = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v1)) &  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & the_InternalRel(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v3, v4) = v5) |  ~ (element(v3, v1) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v1) = v6) | (((v7 = 0 & in(v5, v2) = 0) | ( ~ (v6 = 0) & related(v0, v3, v4) = v6)) & ((v6 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & in(v5, v2) = v7))))) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (related(v0, v3, v4) = v5) |  ~ (element(v3, v1) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v1) = v6) | (( ~ (v5 = 0) | (v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v2) = 0)) & (v5 = 0 | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v2) = v7))))) &  ! [v3] :  ! [v4] : ( ~ (element(v4, v1) = 0) |  ~ (element(v3, v1) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (((v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v2) = 0) | ( ~ (v5 = 0) & related(v0, v3, v4) = v5)) & ((v5 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v2) = v7)))))) &  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & the_InternalRel(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (the_carrier(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & subset(v4, v1) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (subrelstr(v3, v0) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (the_InternalRel(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v2) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v1) = v7))))) &  ! [v3] : ( ~ (rel_str(v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6)))))) &  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] : subrelstr(v1, v0) = 0) &  ! [v0] : ( ~ (finite(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (finite(v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & element(v2, v1) = v4)) &  ! [v2] : ( ~ (element(v2, v1) = 0) | finite(v2) = 0))) &  ! [v0] : ( ~ (empty(v0) = 0) | finite(v0) = 0) &  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : relation_of2(v2, v1, v0) = v3 &  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : relation_of2_as_subset(v2, v1, v0) = v3 &  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : related(v2, v1, v0) = v3 &  ? [v0] :  ? [v1] :  ? [v2] : relation_of2(v2, v0, v1) = 0 &  ? [v0] :  ? [v1] :  ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0 &  ? [v0] :  ? [v1] :  ? [v2] : ordered_pair(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : subrelstr(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : subset(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : cartesian_product2(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : element(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : in(v1, v0) = v2 &  ? [v0] :  ? [v1] : one_sorted_str(v0) = v1 &  ? [v0] :  ? [v1] : the_carrier(v0) = v1 &  ? [v0] :  ? [v1] : rel_str(v0) = v1 &  ? [v0] :  ? [v1] : the_InternalRel(v0) = v1 &  ? [v0] :  ? [v1] : powerset(v0) = v1 &  ? [v0] :  ? [v1] : element(v1, v0) = 0 &  ? [v0] :  ? [v1] : relation(v0) = v1 &  ? [v0] :  ? [v1] : finite(v0) = v1 &  ? [v0] :  ? [v1] : empty(v0) = v1
% 66.14/30.79  |
% 66.14/30.79  | Applying alpha-rule on (1) yields:
% 66.14/30.79  | (2) finite(all_0_3_3) = 0
% 66.14/30.79  | (3)  ? [v0] :  ? [v1] :  ? [v2] : cartesian_product2(v1, v0) = v2
% 66.14/30.79  | (4)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) | element(v0, v1) = 0)
% 66.14/30.79  | (5)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ((v5 = 0 & v3 = 0 &  ~ (v4 = 0) & element(v2, v1) = 0 & finite(v2) = 0 & empty(v2) = v4) | (v2 = 0 & empty(v0) = 0)))
% 66.14/30.79  | (6)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v0, v1) = v2) |  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & powerset(v1) = v3 & element(v0, v3) = v4))
% 66.14/30.79  | (7)  ! [v0] : ( ~ (finite(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (finite(v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & element(v2, v1) = v4)) &  ! [v2] : ( ~ (element(v2, v1) = 0) | finite(v2) = 0)))
% 66.14/30.79  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (in(v3, v2) = v1) |  ~ (in(v3, v2) = v0))
% 66.14/30.79  | (9)  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_carrier(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (the_carrier(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & subset(v4, v2) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (subrelstr(v3, v0) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v5, v2) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v2) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (the_InternalRel(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v1) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v2) = v7))))) &  ! [v3] : ( ~ (rel_str(v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v5, v2) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v2) = v6)))))))
% 66.14/30.80  | (10) one_sorted_str(all_0_1_1) = 0
% 66.14/30.80  | (11)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 66.14/30.80  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (in(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4))
% 66.14/30.80  | (13)  ? [v0] :  ? [v1] :  ? [v2] : subset(v1, v0) = v2
% 66.14/30.80  | (14)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = 0) | subset(v0, v1) = 0)
% 66.14/30.80  | (15)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : related(v2, v1, v0) = v3
% 66.14/30.80  | (16)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (in(v0, v1) = v2) |  ? [v3] : ((v3 = 0 & empty(v1) = 0) | ( ~ (v3 = 0) & element(v0, v1) = v3)))
% 66.14/30.80  | (17) related(all_0_13_13, all_0_9_9, all_0_8_8) = all_0_7_7
% 66.14/30.80  | (18) empty(all_0_3_3) = all_0_2_2
% 66.14/30.80  | (19)  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & the_InternalRel(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v3, v4) = v5) |  ~ (element(v3, v1) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v1) = v6) | (((v7 = 0 & in(v5, v2) = 0) | ( ~ (v6 = 0) & related(v0, v3, v4) = v6)) & ((v6 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & in(v5, v2) = v7))))) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (related(v0, v3, v4) = v5) |  ~ (element(v3, v1) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v1) = v6) | (( ~ (v5 = 0) | (v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v2) = 0)) & (v5 = 0 | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v2) = v7))))) &  ! [v3] :  ! [v4] : ( ~ (element(v4, v1) = 0) |  ~ (element(v3, v1) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (((v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v2) = 0) | ( ~ (v5 = 0) & related(v0, v3, v4) = v5)) & ((v5 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v2) = v7))))))
% 66.14/30.80  | (20)  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] : subrelstr(v1, v0) = 0)
% 66.14/30.80  | (21)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (cartesian_product2(v3, v2) = v1) |  ~ (cartesian_product2(v3, v2) = v0))
% 66.14/30.80  | (22)  ? [v0] :  ? [v1] : relation(v0) = v1
% 66.14/30.80  | (23)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty(v2) = v1) |  ~ (empty(v2) = v0))
% 66.14/30.80  | (24)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] :  ? [v3] : ((v3 = 0 & relation_of2_as_subset(v2, v1, v1) = 0 & the_InternalRel(v0) = v2) | ( ~ (v2 = 0) & rel_str(v0) = v2)))
% 66.14/30.80  | (25)  ! [v0] :  ! [v1] : ( ~ (element(v0, v1) = 0) |  ? [v2] : ((v2 = 0 & empty(v1) = 0) | (v2 = 0 & in(v0, v1) = 0)))
% 66.14/30.80  | (26)  ? [v0] :  ? [v1] :  ? [v2] : ordered_pair(v1, v0) = v2
% 66.14/30.80  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (element(v3, v2) = v1) |  ~ (element(v3, v2) = v0))
% 66.14/30.80  | (28) the_carrier(all_0_13_13) = all_0_12_12
% 66.14/30.80  | (29)  ? [v0] :  ? [v1] : the_InternalRel(v0) = v1
% 66.14/30.80  | (30)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (finite(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 66.14/30.80  | (31)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_InternalRel(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (the_carrier(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & subset(v4, v1) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (subrelstr(v3, v0) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (the_InternalRel(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v2) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v1) = v7))))) &  ! [v3] : ( ~ (rel_str(v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6)))))))
% 66.14/30.81  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (related(v4, v3, v2) = v1) |  ~ (related(v4, v3, v2) = v0))
% 66.14/30.81  | (33)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (rel_str(v1) = v2) |  ~ (rel_str(v0) = 0) |  ? [v3] : ( ~ (v3 = 0) & subrelstr(v1, v0) = v3))
% 66.14/30.81  | (34) element(all_0_8_8, all_0_10_10) = 0
% 66.14/30.81  | (35)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (rel_str(v2) = v1) |  ~ (rel_str(v2) = v0))
% 66.14/30.81  | (36)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (subset(v0, v0) = v1))
% 66.14/30.81  | (37)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_of2_as_subset(v2, v0, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation_of2(v2, v0, v1) = v4))
% 66.14/30.81  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_of2(v2, v0, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4))
% 66.14/30.81  | (39)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (empty(v2) = 0) |  ~ (in(v0, v1) = 0) |  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & powerset(v2) = v3 & element(v1, v3) = v4))
% 66.14/30.81  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (powerset(v0) = v1) |  ~ (finite(v2) = v3) |  ? [v4] : (( ~ (v4 = 0) & element(v2, v1) = v4) | ( ~ (v4 = 0) & finite(v0) = v4)))
% 66.14/30.81  | (41)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ? [v3] : ((v3 = 0 & finite(v2) = 0) | ( ~ (v3 = 0) & finite(v1) = v3) | ( ~ (v3 = 0) & finite(v0) = v3)))
% 66.14/30.81  | (42)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (one_sorted_str(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & rel_str(v0) = v2))
% 66.14/30.81  | (43) empty(empty_set) = 0
% 66.14/30.81  | (44)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (finite(v2) = v1) |  ~ (finite(v2) = v0))
% 66.14/30.81  | (45)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_InternalRel(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v3, v4) = v5) |  ~ (element(v3, v1) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v1) = v6) | (((v7 = 0 & in(v5, v2) = 0) | ( ~ (v6 = 0) & related(v0, v3, v4) = v6)) & ((v6 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & in(v5, v2) = v7))))) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (related(v0, v3, v4) = v5) |  ~ (element(v3, v1) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v1) = v6) | (( ~ (v5 = 0) | (v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v2) = 0)) & (v5 = 0 | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v2) = v7))))) &  ! [v3] :  ! [v4] : ( ~ (element(v4, v1) = 0) |  ~ (element(v3, v1) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (((v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v2) = 0) | ( ~ (v5 = 0) & related(v0, v3, v4) = v5)) & ((v5 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v2) = v7)))))))
% 66.14/30.81  | (46) subrelstr(all_0_11_11, all_0_13_13) = 0
% 66.14/30.81  | (47)  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] : ((v3 = 0 & relation_of2_as_subset(v1, v2, v2) = 0 & the_carrier(v0) = v2) | ( ~ (v2 = 0) & rel_str(v0) = v2)))
% 66.14/30.81  | (48) empty(all_0_6_6) = all_0_5_5
% 66.14/30.81  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 66.14/30.81  | (50)  ? [v0] :  ? [v1] : one_sorted_str(v0) = v1
% 66.14/30.81  | (51)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ (powerset(v3) = v4) |  ~ (element(v2, v4) = 0) | relation(v2) = 0)
% 66.14/30.81  | (52) empty(all_0_4_4) = 0
% 66.14/30.81  | (53)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : relation_of2_as_subset(v2, v1, v0) = v3
% 66.14/30.81  | (54)  ~ (all_0_5_5 = 0)
% 66.14/30.81  | (55)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (element(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 66.14/30.81  | (56)  ? [v0] :  ? [v1] :  ? [v2] : relation_of2(v2, v0, v1) = 0
% 66.14/30.81  | (57)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 66.14/30.81  | (58)  ~ (all_0_2_2 = 0)
% 66.14/30.81  | (59)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0))
% 66.14/30.82  | (60) related(all_0_11_11, all_0_9_9, all_0_8_8) = 0
% 66.14/30.82  | (61)  ! [v0] : (v0 = empty_set |  ~ (empty(v0) = 0))
% 66.14/30.82  | (62)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation(v2) = v1) |  ~ (relation(v2) = v0))
% 66.14/30.82  | (63)  ? [v0] :  ? [v1] :  ? [v2] : subrelstr(v1, v0) = v2
% 66.14/30.82  | (64) rel_str(all_0_13_13) = 0
% 66.14/30.82  | (65)  ! [v0] : ( ~ (empty(v0) = 0) | finite(v0) = 0)
% 66.14/30.82  | (66)  ? [v0] :  ? [v1] :  ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0
% 66.14/30.82  | (67)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_of2_as_subset(v4, v3, v2) = v1) |  ~ (relation_of2_as_subset(v4, v3, v2) = v0))
% 66.14/30.82  | (68)  ? [v0] :  ? [v1] : the_carrier(v0) = v1
% 66.14/30.82  | (69) element(all_0_9_9, all_0_12_12) = 0
% 66.14/30.82  | (70)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_carrier(v2) = v1) |  ~ (the_carrier(v2) = v0))
% 66.14/30.82  | (71)  ? [v0] :  ? [v1] :  ? [v2] : in(v1, v0) = v2
% 66.14/30.82  | (72)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0))
% 66.14/30.82  | (73)  ! [v0] : ( ~ (rel_str(v0) = 0) | one_sorted_str(v0) = 0)
% 66.14/30.82  | (74)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ (element(v2, v1) = 0) |  ? [v3] : ((v3 = 0 & finite(v2) = 0) | ( ~ (v3 = 0) & finite(v0) = v3)))
% 66.14/30.82  | (75)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset(v3, v2) = v1) |  ~ (subset(v3, v2) = v0))
% 66.14/30.82  | (76)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : relation_of2(v2, v1, v0) = v3
% 66.14/30.82  | (77)  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] : (relation_of2_as_subset(v1, v2, v2) = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v1))
% 66.14/30.82  | (78) rel_str(all_0_0_0) = 0
% 66.14/30.82  | (79) element(all_0_8_8, all_0_12_12) = 0
% 66.14/30.82  | (80)  ~ (all_0_7_7 = 0)
% 66.14/30.82  | (81)  ! [v0] :  ! [v1] : ( ~ (rel_str(v0) = 0) |  ~ (subrelstr(v1, v0) = 0) | rel_str(v1) = 0)
% 66.14/30.82  | (82)  ? [v0] :  ? [v1] : finite(v0) = v1
% 66.14/30.82  | (83)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (cartesian_product2(v0, v1) = v3) |  ~ (powerset(v3) = v4) |  ~ (element(v2, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation_of2_as_subset(v2, v0, v1) = v6))
% 66.14/30.82  | (84)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (element(v0, v2) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5))
% 66.14/30.82  | (85)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_of2(v4, v3, v2) = v1) |  ~ (relation_of2(v4, v3, v2) = v0))
% 66.14/30.82  | (86)  ? [v0] :  ? [v1] :  ? [v2] : element(v1, v0) = v2
% 66.14/30.82  | (87)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_InternalRel(v2) = v1) |  ~ (the_InternalRel(v2) = v0))
% 66.14/30.82  | (88)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & element(v3, v2) = 0 & finite(v3) = 0 & empty(v3) = v4))
% 66.14/30.82  | (89)  ! [v0] :  ! [v1] : ( ~ (in(v1, v0) = 0) |  ? [v2] : ( ~ (v2 = 0) & in(v0, v1) = v2))
% 66.14/30.82  | (90)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (one_sorted_str(v2) = v1) |  ~ (one_sorted_str(v2) = v0))
% 66.14/30.82  | (91)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (element(v0, v2) = v3) |  ~ (in(v0, v1) = 0) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & powerset(v2) = v4 & element(v1, v4) = v5))
% 66.14/30.82  | (92)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subrelstr(v3, v2) = v1) |  ~ (subrelstr(v3, v2) = v0))
% 66.14/30.82  | (93)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (in(v0, v1) = 0) | element(v0, v2) = 0)
% 66.14/30.82  | (94)  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & the_InternalRel(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (the_carrier(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & subset(v4, v1) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (subrelstr(v3, v0) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))) &  ! [v3] :  ! [v4] : ( ~ (the_InternalRel(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v2) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v1) = v7))))) &  ! [v3] : ( ~ (rel_str(v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))))
% 66.14/30.83  | (95) the_carrier(all_0_11_11) = all_0_10_10
% 66.14/30.83  | (96)  ? [v0] :  ? [v1] : powerset(v0) = v1
% 66.14/30.83  | (97)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_of2_as_subset(v2, v0, v1) = 0) | relation_of2(v2, v0, v1) = 0)
% 66.14/30.83  | (98)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_of2(v2, v0, v1) = 0) | relation_of2_as_subset(v2, v0, v1) = 0)
% 66.14/30.83  | (99)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (empty(v1) = 0) |  ~ (empty(v0) = 0))
% 66.14/30.83  | (100)  ! [v0] :  ! [v1] : ( ~ (subset(v0, v1) = 0) |  ? [v2] : (powerset(v1) = v2 & element(v0, v2) = 0))
% 66.14/30.83  | (101)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_of2_as_subset(v2, v0, v1) = 0) |  ? [v3] :  ? [v4] : (cartesian_product2(v0, v1) = v3 & powerset(v3) = v4 & element(v2, v4) = 0))
% 66.14/30.83  | (102)  ? [v0] :  ? [v1] : empty(v0) = v1
% 66.14/30.83  | (103)  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_carrier(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v3, v4) = v5) |  ~ (element(v3, v2) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v2) = v6) | (((v7 = 0 & in(v5, v1) = 0) | ( ~ (v6 = 0) & related(v0, v3, v4) = v6)) & ((v6 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & in(v5, v1) = v7))))) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (related(v0, v3, v4) = v5) |  ~ (element(v3, v2) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & element(v4, v2) = v6) | (( ~ (v5 = 0) | (v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v1) = 0)) & (v5 = 0 | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v1) = v7))))) &  ! [v3] :  ! [v4] : ( ~ (element(v4, v2) = 0) |  ~ (element(v3, v2) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (((v7 = 0 & ordered_pair(v3, v4) = v6 & in(v6, v1) = 0) | ( ~ (v5 = 0) & related(v0, v3, v4) = v5)) & ((v5 = 0 & related(v0, v3, v4) = 0) | ( ~ (v7 = 0) & ordered_pair(v3, v4) = v6 & in(v6, v1) = v7)))))))
% 66.14/30.83  | (104)  ? [v0] :  ? [v1] : element(v1, v0) = 0
% 66.14/30.83  | (105) element(all_0_9_9, all_0_10_10) = 0
% 66.14/30.83  | (106)  ? [v0] :  ? [v1] : rel_str(v0) = v1
% 66.14/30.83  |
% 66.14/30.83  | Instantiating formula (24) with all_0_10_10, all_0_11_11 and discharging atoms the_carrier(all_0_11_11) = all_0_10_10, yields:
% 66.14/30.83  | (107)  ? [v0] :  ? [v1] : ((v1 = 0 & relation_of2_as_subset(v0, all_0_10_10, all_0_10_10) = 0 & the_InternalRel(all_0_11_11) = v0) | ( ~ (v0 = 0) & rel_str(all_0_11_11) = v0))
% 66.14/30.83  |
% 66.14/30.83  | Instantiating formula (45) with all_0_10_10, all_0_11_11 and discharging atoms the_carrier(all_0_11_11) = all_0_10_10, yields:
% 66.14/30.83  | (108)  ? [v0] : (( ~ (v0 = 0) & rel_str(all_0_11_11) = v0) | (the_InternalRel(all_0_11_11) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ordered_pair(v1, v2) = v3) |  ~ (element(v1, all_0_10_10) = 0) |  ? [v4] :  ? [v5] : (( ~ (v4 = 0) & element(v2, all_0_10_10) = v4) | (((v5 = 0 & in(v3, v0) = 0) | ( ~ (v4 = 0) & related(all_0_11_11, v1, v2) = v4)) & ((v4 = 0 & related(all_0_11_11, v1, v2) = 0) | ( ~ (v5 = 0) & in(v3, v0) = v5))))) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (related(all_0_11_11, v1, v2) = v3) |  ~ (element(v1, all_0_10_10) = 0) |  ? [v4] :  ? [v5] : (( ~ (v4 = 0) & element(v2, all_0_10_10) = v4) | (( ~ (v3 = 0) | (v5 = 0 & ordered_pair(v1, v2) = v4 & in(v4, v0) = 0)) & (v3 = 0 | ( ~ (v5 = 0) & ordered_pair(v1, v2) = v4 & in(v4, v0) = v5))))) &  ! [v1] :  ! [v2] : ( ~ (element(v2, all_0_10_10) = 0) |  ~ (element(v1, all_0_10_10) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : (((v5 = 0 & ordered_pair(v1, v2) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & related(all_0_11_11, v1, v2) = v3)) & ((v3 = 0 & related(all_0_11_11, v1, v2) = 0) | ( ~ (v5 = 0) & ordered_pair(v1, v2) = v4 & in(v4, v0) = v5))))))
% 66.14/30.83  |
% 66.14/30.83  | Instantiating formula (31) with all_0_10_10, all_0_11_11 and discharging atoms the_carrier(all_0_11_11) = all_0_10_10, yields:
% 66.14/30.83  | (109)  ? [v0] : (( ~ (v0 = 0) & rel_str(all_0_11_11) = v0) | (the_InternalRel(all_0_11_11) = v0 &  ! [v1] :  ! [v2] : ( ~ (the_carrier(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (( ~ (v3 = 0) & rel_str(v1) = v3) | (((v6 = 0 & v4 = 0 & the_InternalRel(v1) = v5 & subset(v5, v0) = 0 & subset(v2, all_0_10_10) = 0) | ( ~ (v3 = 0) & subrelstr(v1, all_0_11_11) = v3)) & ((v3 = 0 & subrelstr(v1, all_0_11_11) = 0) | ( ~ (v6 = 0) & the_InternalRel(v1) = v5 & subset(v5, v0) = v6) | ( ~ (v4 = 0) & subset(v2, all_0_10_10) = v4))))) &  ! [v1] :  ! [v2] : ( ~ (subrelstr(v1, all_0_11_11) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (( ~ (v3 = 0) & rel_str(v1) = v3) | (( ~ (v2 = 0) | (v6 = 0 & v4 = 0 & the_carrier(v1) = v3 & the_InternalRel(v1) = v5 & subset(v5, v0) = 0 & subset(v3, all_0_10_10) = 0)) & (v2 = 0 | ( ~ (v6 = 0) & the_InternalRel(v1) = v5 & subset(v5, v0) = v6) | ( ~ (v4 = 0) & the_carrier(v1) = v3 & subset(v3, all_0_10_10) = v4))))) &  ! [v1] :  ! [v2] : ( ~ (the_InternalRel(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (( ~ (v3 = 0) & rel_str(v1) = v3) | (((v6 = 0 & v5 = 0 & the_carrier(v1) = v4 & subset(v4, all_0_10_10) = 0 & subset(v2, v0) = 0) | ( ~ (v3 = 0) & subrelstr(v1, all_0_11_11) = v3)) & ((v3 = 0 & subrelstr(v1, all_0_11_11) = 0) | ( ~ (v6 = 0) & subset(v2, v0) = v6) | ( ~ (v5 = 0) & the_carrier(v1) = v4 & subset(v4, all_0_10_10) = v5))))) &  ! [v1] : ( ~ (rel_str(v1) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (((v6 = 0 & v4 = 0 & the_carrier(v1) = v3 & the_InternalRel(v1) = v5 & subset(v5, v0) = 0 & subset(v3, all_0_10_10) = 0) | ( ~ (v2 = 0) & subrelstr(v1, all_0_11_11) = v2)) & ((v2 = 0 & subrelstr(v1, all_0_11_11) = 0) | ( ~ (v6 = 0) & the_InternalRel(v1) = v5 & subset(v5, v0) = v6) | ( ~ (v4 = 0) & the_carrier(v1) = v3 & subset(v3, all_0_10_10) = v4))))))
% 66.14/30.84  |
% 66.14/30.84  | Instantiating formula (24) with all_0_12_12, all_0_13_13 and discharging atoms the_carrier(all_0_13_13) = all_0_12_12, yields:
% 66.14/30.84  | (110)  ? [v0] :  ? [v1] : ((v1 = 0 & relation_of2_as_subset(v0, all_0_12_12, all_0_12_12) = 0 & the_InternalRel(all_0_13_13) = v0) | ( ~ (v0 = 0) & rel_str(all_0_13_13) = v0))
% 66.14/30.84  |
% 66.14/30.84  | Instantiating formula (45) with all_0_12_12, all_0_13_13 and discharging atoms the_carrier(all_0_13_13) = all_0_12_12, yields:
% 66.14/30.84  | (111)  ? [v0] : (( ~ (v0 = 0) & rel_str(all_0_13_13) = v0) | (the_InternalRel(all_0_13_13) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ordered_pair(v1, v2) = v3) |  ~ (element(v1, all_0_12_12) = 0) |  ? [v4] :  ? [v5] : (( ~ (v4 = 0) & element(v2, all_0_12_12) = v4) | (((v5 = 0 & in(v3, v0) = 0) | ( ~ (v4 = 0) & related(all_0_13_13, v1, v2) = v4)) & ((v4 = 0 & related(all_0_13_13, v1, v2) = 0) | ( ~ (v5 = 0) & in(v3, v0) = v5))))) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (related(all_0_13_13, v1, v2) = v3) |  ~ (element(v1, all_0_12_12) = 0) |  ? [v4] :  ? [v5] : (( ~ (v4 = 0) & element(v2, all_0_12_12) = v4) | (( ~ (v3 = 0) | (v5 = 0 & ordered_pair(v1, v2) = v4 & in(v4, v0) = 0)) & (v3 = 0 | ( ~ (v5 = 0) & ordered_pair(v1, v2) = v4 & in(v4, v0) = v5))))) &  ! [v1] :  ! [v2] : ( ~ (element(v2, all_0_12_12) = 0) |  ~ (element(v1, all_0_12_12) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : (((v5 = 0 & ordered_pair(v1, v2) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & related(all_0_13_13, v1, v2) = v3)) & ((v3 = 0 & related(all_0_13_13, v1, v2) = 0) | ( ~ (v5 = 0) & ordered_pair(v1, v2) = v4 & in(v4, v0) = v5))))))
% 66.14/30.84  |
% 66.14/30.84  | Instantiating formula (31) with all_0_12_12, all_0_13_13 and discharging atoms the_carrier(all_0_13_13) = all_0_12_12, yields:
% 66.14/30.84  | (112)  ? [v0] : (( ~ (v0 = 0) & rel_str(all_0_13_13) = v0) | (the_InternalRel(all_0_13_13) = v0 &  ! [v1] :  ! [v2] : ( ~ (the_carrier(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (( ~ (v3 = 0) & rel_str(v1) = v3) | (((v6 = 0 & v4 = 0 & the_InternalRel(v1) = v5 & subset(v5, v0) = 0 & subset(v2, all_0_12_12) = 0) | ( ~ (v3 = 0) & subrelstr(v1, all_0_13_13) = v3)) & ((v3 = 0 & subrelstr(v1, all_0_13_13) = 0) | ( ~ (v6 = 0) & the_InternalRel(v1) = v5 & subset(v5, v0) = v6) | ( ~ (v4 = 0) & subset(v2, all_0_12_12) = v4))))) &  ! [v1] :  ! [v2] : ( ~ (subrelstr(v1, all_0_13_13) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (( ~ (v3 = 0) & rel_str(v1) = v3) | (( ~ (v2 = 0) | (v6 = 0 & v4 = 0 & the_carrier(v1) = v3 & the_InternalRel(v1) = v5 & subset(v5, v0) = 0 & subset(v3, all_0_12_12) = 0)) & (v2 = 0 | ( ~ (v6 = 0) & the_InternalRel(v1) = v5 & subset(v5, v0) = v6) | ( ~ (v4 = 0) & the_carrier(v1) = v3 & subset(v3, all_0_12_12) = v4))))) &  ! [v1] :  ! [v2] : ( ~ (the_InternalRel(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (( ~ (v3 = 0) & rel_str(v1) = v3) | (((v6 = 0 & v5 = 0 & the_carrier(v1) = v4 & subset(v4, all_0_12_12) = 0 & subset(v2, v0) = 0) | ( ~ (v3 = 0) & subrelstr(v1, all_0_13_13) = v3)) & ((v3 = 0 & subrelstr(v1, all_0_13_13) = 0) | ( ~ (v6 = 0) & subset(v2, v0) = v6) | ( ~ (v5 = 0) & the_carrier(v1) = v4 & subset(v4, all_0_12_12) = v5))))) &  ! [v1] : ( ~ (rel_str(v1) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (((v6 = 0 & v4 = 0 & the_carrier(v1) = v3 & the_InternalRel(v1) = v5 & subset(v5, v0) = 0 & subset(v3, all_0_12_12) = 0) | ( ~ (v2 = 0) & subrelstr(v1, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v1, all_0_13_13) = 0) | ( ~ (v6 = 0) & the_InternalRel(v1) = v5 & subset(v5, v0) = v6) | ( ~ (v4 = 0) & the_carrier(v1) = v3 & subset(v3, all_0_12_12) = v4))))))
% 66.14/30.85  |
% 66.14/30.85  | Instantiating formula (77) with all_0_13_13 and discharging atoms rel_str(all_0_13_13) = 0, yields:
% 66.14/30.85  | (113)  ? [v0] :  ? [v1] : (relation_of2_as_subset(v0, v1, v1) = 0 & the_carrier(all_0_13_13) = v1 & the_InternalRel(all_0_13_13) = v0)
% 66.14/30.85  |
% 66.14/30.85  | Instantiating formula (19) with all_0_13_13 and discharging atoms rel_str(all_0_13_13) = 0, yields:
% 66.14/30.85  | (114)  ? [v0] :  ? [v1] : (the_carrier(all_0_13_13) = v0 & the_InternalRel(all_0_13_13) = v1 &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ (element(v2, v0) = 0) |  ? [v5] :  ? [v6] : (( ~ (v5 = 0) & element(v3, v0) = v5) | (((v6 = 0 & in(v4, v1) = 0) | ( ~ (v5 = 0) & related(all_0_13_13, v2, v3) = v5)) & ((v5 = 0 & related(all_0_13_13, v2, v3) = 0) | ( ~ (v6 = 0) & in(v4, v1) = v6))))) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (related(all_0_13_13, v2, v3) = v4) |  ~ (element(v2, v0) = 0) |  ? [v5] :  ? [v6] : (( ~ (v5 = 0) & element(v3, v0) = v5) | (( ~ (v4 = 0) | (v6 = 0 & ordered_pair(v2, v3) = v5 & in(v5, v1) = 0)) & (v4 = 0 | ( ~ (v6 = 0) & ordered_pair(v2, v3) = v5 & in(v5, v1) = v6))))) &  ! [v2] :  ! [v3] : ( ~ (element(v3, v0) = 0) |  ~ (element(v2, v0) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (((v6 = 0 & ordered_pair(v2, v3) = v5 & in(v5, v1) = 0) | ( ~ (v4 = 0) & related(all_0_13_13, v2, v3) = v4)) & ((v4 = 0 & related(all_0_13_13, v2, v3) = 0) | ( ~ (v6 = 0) & ordered_pair(v2, v3) = v5 & in(v5, v1) = v6)))))
% 66.14/30.85  |
% 66.14/30.85  | Instantiating formula (94) with all_0_13_13 and discharging atoms rel_str(all_0_13_13) = 0, yields:
% 66.14/30.85  | (115)  ? [v0] :  ? [v1] : (the_carrier(all_0_13_13) = v0 & the_InternalRel(all_0_13_13) = v1 &  ! [v2] :  ! [v3] : ( ~ (the_carrier(v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v4 = 0) & rel_str(v2) = v4) | (((v7 = 0 & v5 = 0 & the_InternalRel(v2) = v6 & subset(v6, v1) = 0 & subset(v3, v0) = 0) | ( ~ (v4 = 0) & subrelstr(v2, all_0_13_13) = v4)) & ((v4 = 0 & subrelstr(v2, all_0_13_13) = 0) | ( ~ (v7 = 0) & the_InternalRel(v2) = v6 & subset(v6, v1) = v7) | ( ~ (v5 = 0) & subset(v3, v0) = v5))))) &  ! [v2] :  ! [v3] : ( ~ (subrelstr(v2, all_0_13_13) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v4 = 0) & rel_str(v2) = v4) | (( ~ (v3 = 0) | (v7 = 0 & v5 = 0 & the_carrier(v2) = v4 & the_InternalRel(v2) = v6 & subset(v6, v1) = 0 & subset(v4, v0) = 0)) & (v3 = 0 | ( ~ (v7 = 0) & the_InternalRel(v2) = v6 & subset(v6, v1) = v7) | ( ~ (v5 = 0) & the_carrier(v2) = v4 & subset(v4, v0) = v5))))) &  ! [v2] :  ! [v3] : ( ~ (the_InternalRel(v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v4 = 0) & rel_str(v2) = v4) | (((v7 = 0 & v6 = 0 & the_carrier(v2) = v5 & subset(v5, v0) = 0 & subset(v3, v1) = 0) | ( ~ (v4 = 0) & subrelstr(v2, all_0_13_13) = v4)) & ((v4 = 0 & subrelstr(v2, all_0_13_13) = 0) | ( ~ (v7 = 0) & subset(v3, v1) = v7) | ( ~ (v6 = 0) & the_carrier(v2) = v5 & subset(v5, v0) = v6))))) &  ! [v2] : ( ~ (rel_str(v2) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (((v7 = 0 & v5 = 0 & the_carrier(v2) = v4 & the_InternalRel(v2) = v6 & subset(v6, v1) = 0 & subset(v4, v0) = 0) | ( ~ (v3 = 0) & subrelstr(v2, all_0_13_13) = v3)) & ((v3 = 0 & subrelstr(v2, all_0_13_13) = 0) | ( ~ (v7 = 0) & the_InternalRel(v2) = v6 & subset(v6, v1) = v7) | ( ~ (v5 = 0) & the_carrier(v2) = v4 & subset(v4, v0) = v5)))))
% 66.14/30.85  |
% 66.14/30.85  | Instantiating formula (81) with all_0_11_11, all_0_13_13 and discharging atoms rel_str(all_0_13_13) = 0, subrelstr(all_0_11_11, all_0_13_13) = 0, yields:
% 66.14/30.85  | (116) rel_str(all_0_11_11) = 0
% 66.14/30.85  |
% 66.14/30.85  | Instantiating (111) with all_59_0_72 yields:
% 66.14/30.85  | (117) ( ~ (all_59_0_72 = 0) & rel_str(all_0_13_13) = all_59_0_72) | (the_InternalRel(all_0_13_13) = all_59_0_72 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ (element(v0, all_0_12_12) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_12_12) = v3) | (((v4 = 0 & in(v2, all_59_0_72) = 0) | ( ~ (v3 = 0) & related(all_0_13_13, v0, v1) = v3)) & ((v3 = 0 & related(all_0_13_13, v0, v1) = 0) | ( ~ (v4 = 0) & in(v2, all_59_0_72) = v4))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (related(all_0_13_13, v0, v1) = v2) |  ~ (element(v0, all_0_12_12) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_12_12) = v3) | (( ~ (v2 = 0) | (v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = 0)) & (v2 = 0 | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = v4))))) &  ! [v0] :  ! [v1] : ( ~ (element(v1, all_0_12_12) = 0) |  ~ (element(v0, all_0_12_12) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (((v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = 0) | ( ~ (v2 = 0) & related(all_0_13_13, v0, v1) = v2)) & ((v2 = 0 & related(all_0_13_13, v0, v1) = 0) | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = v4)))))
% 66.14/30.85  |
% 66.14/30.85  | Instantiating (110) with all_60_0_73, all_60_1_74 yields:
% 66.14/30.85  | (118) (all_60_0_73 = 0 & relation_of2_as_subset(all_60_1_74, all_0_12_12, all_0_12_12) = 0 & the_InternalRel(all_0_13_13) = all_60_1_74) | ( ~ (all_60_1_74 = 0) & rel_str(all_0_13_13) = all_60_1_74)
% 66.14/30.85  |
% 66.14/30.85  | Instantiating (109) with all_61_0_75 yields:
% 66.14/30.85  | (119) ( ~ (all_61_0_75 = 0) & rel_str(all_0_11_11) = all_61_0_75) | (the_InternalRel(all_0_11_11) = all_61_0_75 &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = 0 & subset(v1, all_0_10_10) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_11_11) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_11_11) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = v5) | ( ~ (v3 = 0) & subset(v1, all_0_10_10) = v3))))) &  ! [v0] :  ! [v1] : ( ~ (subrelstr(v0, all_0_11_11) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = 0 & subset(v2, all_0_10_10) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_10_10) = v3))))) &  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_0_10_10) = 0 & subset(v1, all_61_0_75) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_11_11) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_11_11) = 0) | ( ~ (v5 = 0) & subset(v1, all_61_0_75) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_0_10_10) = v4))))) &  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = 0 & subset(v2, all_0_10_10) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_11_11) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_11_11) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_10_10) = v3)))))
% 66.14/30.85  |
% 66.14/30.85  | Instantiating (108) with all_62_0_76 yields:
% 66.14/30.85  | (120) ( ~ (all_62_0_76 = 0) & rel_str(all_0_11_11) = all_62_0_76) | (the_InternalRel(all_0_11_11) = all_62_0_76 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ (element(v0, all_0_10_10) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_10_10) = v3) | (((v4 = 0 & in(v2, all_62_0_76) = 0) | ( ~ (v3 = 0) & related(all_0_11_11, v0, v1) = v3)) & ((v3 = 0 & related(all_0_11_11, v0, v1) = 0) | ( ~ (v4 = 0) & in(v2, all_62_0_76) = v4))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (related(all_0_11_11, v0, v1) = v2) |  ~ (element(v0, all_0_10_10) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_10_10) = v3) | (( ~ (v2 = 0) | (v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = 0)) & (v2 = 0 | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = v4))))) &  ! [v0] :  ! [v1] : ( ~ (element(v1, all_0_10_10) = 0) |  ~ (element(v0, all_0_10_10) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (((v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = 0) | ( ~ (v2 = 0) & related(all_0_11_11, v0, v1) = v2)) & ((v2 = 0 & related(all_0_11_11, v0, v1) = 0) | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = v4)))))
% 66.14/30.85  |
% 66.14/30.85  | Instantiating (115) with all_70_0_82, all_70_1_83 yields:
% 66.14/30.85  | (121) the_carrier(all_0_13_13) = all_70_1_83 & the_InternalRel(all_0_13_13) = all_70_0_82 &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = 0 & subset(v1, all_70_1_83) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = v5) | ( ~ (v3 = 0) & subset(v1, all_70_1_83) = v3))))) &  ! [v0] :  ! [v1] : ( ~ (subrelstr(v0, all_0_13_13) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = 0 & subset(v2, all_70_1_83) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_70_1_83) = v3))))) &  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_70_1_83) = 0 & subset(v1, all_70_0_82) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & subset(v1, all_70_0_82) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_70_1_83) = v4))))) &  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = 0 & subset(v2, all_70_1_83) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_13_13) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_70_1_83) = v3))))
% 66.14/30.85  |
% 66.14/30.85  | Applying alpha-rule on (121) yields:
% 66.14/30.85  | (122) the_carrier(all_0_13_13) = all_70_1_83
% 66.14/30.85  | (123)  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = 0 & subset(v2, all_70_1_83) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_13_13) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_70_1_83) = v3))))
% 66.14/30.85  | (124) the_InternalRel(all_0_13_13) = all_70_0_82
% 66.14/30.85  | (125)  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_70_1_83) = 0 & subset(v1, all_70_0_82) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & subset(v1, all_70_0_82) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_70_1_83) = v4)))))
% 66.14/30.85  | (126)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = 0 & subset(v1, all_70_1_83) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = v5) | ( ~ (v3 = 0) & subset(v1, all_70_1_83) = v3)))))
% 66.14/30.85  | (127)  ! [v0] :  ! [v1] : ( ~ (subrelstr(v0, all_0_13_13) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = 0 & subset(v2, all_70_1_83) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_70_0_82) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_70_1_83) = v3)))))
% 66.14/30.85  |
% 66.14/30.85  | Instantiating formula (126) with all_0_10_10, all_0_11_11 and discharging atoms the_carrier(all_0_11_11) = all_0_10_10, yields:
% 66.14/30.85  | (128)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (( ~ (v0 = 0) & rel_str(all_0_11_11) = v0) | (((v3 = 0 & v1 = 0 & the_InternalRel(all_0_11_11) = v2 & subset(v2, all_70_0_82) = 0 & subset(all_0_10_10, all_70_1_83) = 0) | ( ~ (v0 = 0) & subrelstr(all_0_11_11, all_0_13_13) = v0)) & ((v0 = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0) | ( ~ (v3 = 0) & the_InternalRel(all_0_11_11) = v2 & subset(v2, all_70_0_82) = v3) | ( ~ (v1 = 0) & subset(all_0_10_10, all_70_1_83) = v1))))
% 66.14/30.85  |
% 66.14/30.85  | Instantiating formula (127) with 0, all_0_11_11 and discharging atoms subrelstr(all_0_11_11, all_0_13_13) = 0, yields:
% 66.14/30.86  | (129)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & v1 = 0 & the_carrier(all_0_11_11) = v0 & the_InternalRel(all_0_11_11) = v2 & subset(v2, all_70_0_82) = 0 & subset(v0, all_70_1_83) = 0) | ( ~ (v0 = 0) & rel_str(all_0_11_11) = v0))
% 66.14/30.86  |
% 66.14/30.86  | Instantiating (107) with all_75_0_85, all_75_1_86 yields:
% 66.14/30.86  | (130) (all_75_0_85 = 0 & relation_of2_as_subset(all_75_1_86, all_0_10_10, all_0_10_10) = 0 & the_InternalRel(all_0_11_11) = all_75_1_86) | ( ~ (all_75_1_86 = 0) & rel_str(all_0_11_11) = all_75_1_86)
% 66.14/30.86  |
% 66.14/30.86  | Instantiating (114) with all_81_0_91, all_81_1_92 yields:
% 66.14/30.86  | (131) the_carrier(all_0_13_13) = all_81_1_92 & the_InternalRel(all_0_13_13) = all_81_0_91 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ (element(v0, all_81_1_92) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_81_1_92) = v3) | (((v4 = 0 & in(v2, all_81_0_91) = 0) | ( ~ (v3 = 0) & related(all_0_13_13, v0, v1) = v3)) & ((v3 = 0 & related(all_0_13_13, v0, v1) = 0) | ( ~ (v4 = 0) & in(v2, all_81_0_91) = v4))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (related(all_0_13_13, v0, v1) = v2) |  ~ (element(v0, all_81_1_92) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_81_1_92) = v3) | (( ~ (v2 = 0) | (v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_81_0_91) = 0)) & (v2 = 0 | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_81_0_91) = v4))))) &  ! [v0] :  ! [v1] : ( ~ (element(v1, all_81_1_92) = 0) |  ~ (element(v0, all_81_1_92) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (((v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_81_0_91) = 0) | ( ~ (v2 = 0) & related(all_0_13_13, v0, v1) = v2)) & ((v2 = 0 & related(all_0_13_13, v0, v1) = 0) | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_81_0_91) = v4))))
% 66.49/30.86  |
% 66.49/30.86  | Applying alpha-rule on (131) yields:
% 66.49/30.86  | (132)  ! [v0] :  ! [v1] : ( ~ (element(v1, all_81_1_92) = 0) |  ~ (element(v0, all_81_1_92) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (((v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_81_0_91) = 0) | ( ~ (v2 = 0) & related(all_0_13_13, v0, v1) = v2)) & ((v2 = 0 & related(all_0_13_13, v0, v1) = 0) | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_81_0_91) = v4))))
% 66.49/30.86  | (133) the_InternalRel(all_0_13_13) = all_81_0_91
% 66.49/30.86  | (134)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ (element(v0, all_81_1_92) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_81_1_92) = v3) | (((v4 = 0 & in(v2, all_81_0_91) = 0) | ( ~ (v3 = 0) & related(all_0_13_13, v0, v1) = v3)) & ((v3 = 0 & related(all_0_13_13, v0, v1) = 0) | ( ~ (v4 = 0) & in(v2, all_81_0_91) = v4)))))
% 66.49/30.86  | (135) the_carrier(all_0_13_13) = all_81_1_92
% 66.49/30.86  | (136)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (related(all_0_13_13, v0, v1) = v2) |  ~ (element(v0, all_81_1_92) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_81_1_92) = v3) | (( ~ (v2 = 0) | (v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_81_0_91) = 0)) & (v2 = 0 | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_81_0_91) = v4)))))
% 66.49/30.86  |
% 66.49/30.86  | Instantiating (113) with all_86_0_95, all_86_1_96 yields:
% 66.49/30.86  | (137) relation_of2_as_subset(all_86_1_96, all_86_0_95, all_86_0_95) = 0 & the_carrier(all_0_13_13) = all_86_0_95 & the_InternalRel(all_0_13_13) = all_86_1_96
% 66.49/30.86  |
% 66.49/30.86  | Applying alpha-rule on (137) yields:
% 66.49/30.86  | (138) relation_of2_as_subset(all_86_1_96, all_86_0_95, all_86_0_95) = 0
% 66.49/30.86  | (139) the_carrier(all_0_13_13) = all_86_0_95
% 66.49/30.86  | (140) the_InternalRel(all_0_13_13) = all_86_1_96
% 66.49/30.86  |
% 66.49/30.86  | Instantiating (112) with all_88_0_97 yields:
% 66.49/30.86  | (141) ( ~ (all_88_0_97 = 0) & rel_str(all_0_13_13) = all_88_0_97) | (the_InternalRel(all_0_13_13) = all_88_0_97 &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = 0 & subset(v1, all_0_12_12) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = v5) | ( ~ (v3 = 0) & subset(v1, all_0_12_12) = v3))))) &  ! [v0] :  ! [v1] : ( ~ (subrelstr(v0, all_0_13_13) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = 0 & subset(v2, all_0_12_12) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_12_12) = v3))))) &  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_0_12_12) = 0 & subset(v1, all_88_0_97) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & subset(v1, all_88_0_97) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_0_12_12) = v4))))) &  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = 0 & subset(v2, all_0_12_12) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_13_13) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_12_12) = v3)))))
% 66.49/30.86  |
% 66.49/30.86  | Instantiating (129) with all_89_0_98, all_89_1_99, all_89_2_100, all_89_3_101 yields:
% 66.49/30.86  | (142) (all_89_0_98 = 0 & all_89_2_100 = 0 & the_carrier(all_0_11_11) = all_89_3_101 & the_InternalRel(all_0_11_11) = all_89_1_99 & subset(all_89_1_99, all_70_0_82) = 0 & subset(all_89_3_101, all_70_1_83) = 0) | ( ~ (all_89_3_101 = 0) & rel_str(all_0_11_11) = all_89_3_101)
% 66.49/30.86  |
% 66.49/30.86  | Instantiating (128) with all_93_0_116, all_93_1_117, all_93_2_118, all_93_3_119 yields:
% 66.49/30.86  | (143) ( ~ (all_93_3_119 = 0) & rel_str(all_0_11_11) = all_93_3_119) | (((all_93_0_116 = 0 & all_93_2_118 = 0 & the_InternalRel(all_0_11_11) = all_93_1_117 & subset(all_93_1_117, all_70_0_82) = 0 & subset(all_0_10_10, all_70_1_83) = 0) | ( ~ (all_93_3_119 = 0) & subrelstr(all_0_11_11, all_0_13_13) = all_93_3_119)) & ((all_93_3_119 = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0) | ( ~ (all_93_0_116 = 0) & the_InternalRel(all_0_11_11) = all_93_1_117 & subset(all_93_1_117, all_70_0_82) = all_93_0_116) | ( ~ (all_93_2_118 = 0) & subset(all_0_10_10, all_70_1_83) = all_93_2_118)))
% 66.49/30.86  |
% 66.49/30.86  +-Applying beta-rule and splitting (120), into two cases.
% 66.49/30.86  |-Branch one:
% 66.49/30.86  | (144)  ~ (all_62_0_76 = 0) & rel_str(all_0_11_11) = all_62_0_76
% 66.49/30.86  |
% 66.49/30.86  	| Applying alpha-rule on (144) yields:
% 66.49/30.86  	| (145)  ~ (all_62_0_76 = 0)
% 66.49/30.86  	| (146) rel_str(all_0_11_11) = all_62_0_76
% 66.49/30.86  	|
% 66.49/30.86  	| Instantiating formula (35) with all_0_11_11, 0, all_62_0_76 and discharging atoms rel_str(all_0_11_11) = all_62_0_76, rel_str(all_0_11_11) = 0, yields:
% 66.49/30.86  	| (147) all_62_0_76 = 0
% 66.49/30.86  	|
% 66.49/30.86  	| Equations (147) can reduce 145 to:
% 66.49/30.86  	| (148) $false
% 66.49/30.86  	|
% 66.49/30.86  	|-The branch is then unsatisfiable
% 66.49/30.86  |-Branch two:
% 66.49/30.86  | (149) the_InternalRel(all_0_11_11) = all_62_0_76 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ (element(v0, all_0_10_10) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_10_10) = v3) | (((v4 = 0 & in(v2, all_62_0_76) = 0) | ( ~ (v3 = 0) & related(all_0_11_11, v0, v1) = v3)) & ((v3 = 0 & related(all_0_11_11, v0, v1) = 0) | ( ~ (v4 = 0) & in(v2, all_62_0_76) = v4))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (related(all_0_11_11, v0, v1) = v2) |  ~ (element(v0, all_0_10_10) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_10_10) = v3) | (( ~ (v2 = 0) | (v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = 0)) & (v2 = 0 | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = v4))))) &  ! [v0] :  ! [v1] : ( ~ (element(v1, all_0_10_10) = 0) |  ~ (element(v0, all_0_10_10) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (((v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = 0) | ( ~ (v2 = 0) & related(all_0_11_11, v0, v1) = v2)) & ((v2 = 0 & related(all_0_11_11, v0, v1) = 0) | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = v4))))
% 66.49/30.86  |
% 66.49/30.86  	| Applying alpha-rule on (149) yields:
% 66.49/30.86  	| (150) the_InternalRel(all_0_11_11) = all_62_0_76
% 66.49/30.86  	| (151)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ (element(v0, all_0_10_10) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_10_10) = v3) | (((v4 = 0 & in(v2, all_62_0_76) = 0) | ( ~ (v3 = 0) & related(all_0_11_11, v0, v1) = v3)) & ((v3 = 0 & related(all_0_11_11, v0, v1) = 0) | ( ~ (v4 = 0) & in(v2, all_62_0_76) = v4)))))
% 66.49/30.86  	| (152)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (related(all_0_11_11, v0, v1) = v2) |  ~ (element(v0, all_0_10_10) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_10_10) = v3) | (( ~ (v2 = 0) | (v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = 0)) & (v2 = 0 | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = v4)))))
% 66.49/30.87  	| (153)  ! [v0] :  ! [v1] : ( ~ (element(v1, all_0_10_10) = 0) |  ~ (element(v0, all_0_10_10) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (((v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = 0) | ( ~ (v2 = 0) & related(all_0_11_11, v0, v1) = v2)) & ((v2 = 0 & related(all_0_11_11, v0, v1) = 0) | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_62_0_76) = v4))))
% 66.49/30.87  	|
% 66.49/30.87  	| Instantiating formula (153) with all_0_8_8, all_0_9_9 and discharging atoms element(all_0_8_8, all_0_10_10) = 0, element(all_0_9_9, all_0_10_10) = 0, yields:
% 66.49/30.87  	| (154)  ? [v0] :  ? [v1] :  ? [v2] : (((v2 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = v1 & in(v1, all_62_0_76) = 0) | ( ~ (v0 = 0) & related(all_0_11_11, all_0_9_9, all_0_8_8) = v0)) & ((v0 = 0 & related(all_0_11_11, all_0_9_9, all_0_8_8) = 0) | ( ~ (v2 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = v1 & in(v1, all_62_0_76) = v2)))
% 66.49/30.87  	|
% 66.49/30.87  	| Instantiating (154) with all_104_0_167, all_104_1_168, all_104_2_169 yields:
% 66.49/30.87  	| (155) ((all_104_0_167 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = all_104_1_168 & in(all_104_1_168, all_62_0_76) = 0) | ( ~ (all_104_2_169 = 0) & related(all_0_11_11, all_0_9_9, all_0_8_8) = all_104_2_169)) & ((all_104_2_169 = 0 & related(all_0_11_11, all_0_9_9, all_0_8_8) = 0) | ( ~ (all_104_0_167 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = all_104_1_168 & in(all_104_1_168, all_62_0_76) = all_104_0_167))
% 66.49/30.87  	|
% 66.49/30.87  	| Applying alpha-rule on (155) yields:
% 66.49/30.87  	| (156) (all_104_0_167 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = all_104_1_168 & in(all_104_1_168, all_62_0_76) = 0) | ( ~ (all_104_2_169 = 0) & related(all_0_11_11, all_0_9_9, all_0_8_8) = all_104_2_169)
% 66.49/30.87  	| (157) (all_104_2_169 = 0 & related(all_0_11_11, all_0_9_9, all_0_8_8) = 0) | ( ~ (all_104_0_167 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = all_104_1_168 & in(all_104_1_168, all_62_0_76) = all_104_0_167)
% 66.49/30.87  	|
% 66.49/30.87  	+-Applying beta-rule and splitting (118), into two cases.
% 66.49/30.87  	|-Branch one:
% 66.49/30.87  	| (158) all_60_0_73 = 0 & relation_of2_as_subset(all_60_1_74, all_0_12_12, all_0_12_12) = 0 & the_InternalRel(all_0_13_13) = all_60_1_74
% 66.49/30.87  	|
% 66.49/30.87  		| Applying alpha-rule on (158) yields:
% 66.49/30.87  		| (159) all_60_0_73 = 0
% 66.49/30.87  		| (160) relation_of2_as_subset(all_60_1_74, all_0_12_12, all_0_12_12) = 0
% 66.49/30.87  		| (161) the_InternalRel(all_0_13_13) = all_60_1_74
% 66.49/30.87  		|
% 66.49/30.87  		+-Applying beta-rule and splitting (156), into two cases.
% 66.49/30.87  		|-Branch one:
% 66.49/30.87  		| (162) all_104_0_167 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = all_104_1_168 & in(all_104_1_168, all_62_0_76) = 0
% 66.49/30.87  		|
% 66.49/30.87  			| Applying alpha-rule on (162) yields:
% 66.49/30.87  			| (163) all_104_0_167 = 0
% 66.49/30.87  			| (164) ordered_pair(all_0_9_9, all_0_8_8) = all_104_1_168
% 66.49/30.87  			| (165) in(all_104_1_168, all_62_0_76) = 0
% 66.49/30.87  			|
% 66.49/30.87  			+-Applying beta-rule and splitting (143), into two cases.
% 66.49/30.87  			|-Branch one:
% 66.49/30.87  			| (166)  ~ (all_93_3_119 = 0) & rel_str(all_0_11_11) = all_93_3_119
% 66.49/30.87  			|
% 66.49/30.87  				| Applying alpha-rule on (166) yields:
% 66.49/30.87  				| (167)  ~ (all_93_3_119 = 0)
% 66.49/30.87  				| (168) rel_str(all_0_11_11) = all_93_3_119
% 66.49/30.87  				|
% 66.49/30.87  				| Instantiating formula (35) with all_0_11_11, 0, all_93_3_119 and discharging atoms rel_str(all_0_11_11) = all_93_3_119, rel_str(all_0_11_11) = 0, yields:
% 66.49/30.87  				| (169) all_93_3_119 = 0
% 66.49/30.87  				|
% 66.49/30.87  				| Equations (169) can reduce 167 to:
% 66.49/30.87  				| (148) $false
% 66.49/30.87  				|
% 66.49/30.87  				|-The branch is then unsatisfiable
% 66.49/30.87  			|-Branch two:
% 66.49/30.87  			| (171) ((all_93_0_116 = 0 & all_93_2_118 = 0 & the_InternalRel(all_0_11_11) = all_93_1_117 & subset(all_93_1_117, all_70_0_82) = 0 & subset(all_0_10_10, all_70_1_83) = 0) | ( ~ (all_93_3_119 = 0) & subrelstr(all_0_11_11, all_0_13_13) = all_93_3_119)) & ((all_93_3_119 = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0) | ( ~ (all_93_0_116 = 0) & the_InternalRel(all_0_11_11) = all_93_1_117 & subset(all_93_1_117, all_70_0_82) = all_93_0_116) | ( ~ (all_93_2_118 = 0) & subset(all_0_10_10, all_70_1_83) = all_93_2_118))
% 66.49/30.87  			|
% 66.49/30.87  				| Applying alpha-rule on (171) yields:
% 66.49/30.87  				| (172) (all_93_0_116 = 0 & all_93_2_118 = 0 & the_InternalRel(all_0_11_11) = all_93_1_117 & subset(all_93_1_117, all_70_0_82) = 0 & subset(all_0_10_10, all_70_1_83) = 0) | ( ~ (all_93_3_119 = 0) & subrelstr(all_0_11_11, all_0_13_13) = all_93_3_119)
% 66.49/30.87  				| (173) (all_93_3_119 = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0) | ( ~ (all_93_0_116 = 0) & the_InternalRel(all_0_11_11) = all_93_1_117 & subset(all_93_1_117, all_70_0_82) = all_93_0_116) | ( ~ (all_93_2_118 = 0) & subset(all_0_10_10, all_70_1_83) = all_93_2_118)
% 66.49/30.87  				|
% 66.49/30.87  				+-Applying beta-rule and splitting (172), into two cases.
% 66.49/30.87  				|-Branch one:
% 66.49/30.87  				| (174) all_93_0_116 = 0 & all_93_2_118 = 0 & the_InternalRel(all_0_11_11) = all_93_1_117 & subset(all_93_1_117, all_70_0_82) = 0 & subset(all_0_10_10, all_70_1_83) = 0
% 66.49/30.87  				|
% 66.49/30.87  					| Applying alpha-rule on (174) yields:
% 66.49/30.87  					| (175) subset(all_0_10_10, all_70_1_83) = 0
% 66.49/30.87  					| (176) subset(all_93_1_117, all_70_0_82) = 0
% 66.49/30.87  					| (177) the_InternalRel(all_0_11_11) = all_93_1_117
% 66.55/30.87  					| (178) all_93_2_118 = 0
% 66.55/30.87  					| (179) all_93_0_116 = 0
% 66.55/30.87  					|
% 66.55/30.87  					+-Applying beta-rule and splitting (173), into two cases.
% 66.55/30.87  					|-Branch one:
% 66.55/30.87  					| (180) (all_93_3_119 = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0) | ( ~ (all_93_0_116 = 0) & the_InternalRel(all_0_11_11) = all_93_1_117 & subset(all_93_1_117, all_70_0_82) = all_93_0_116)
% 66.55/30.87  					|
% 66.55/30.87  						+-Applying beta-rule and splitting (180), into two cases.
% 66.55/30.87  						|-Branch one:
% 66.55/30.87  						| (181) all_93_3_119 = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0
% 66.55/30.87  						|
% 66.55/30.87  							| Applying alpha-rule on (181) yields:
% 66.55/30.87  							| (169) all_93_3_119 = 0
% 66.55/30.87  							| (46) subrelstr(all_0_11_11, all_0_13_13) = 0
% 66.55/30.87  							|
% 66.55/30.87  							+-Applying beta-rule and splitting (117), into two cases.
% 66.55/30.87  							|-Branch one:
% 66.55/30.87  							| (184)  ~ (all_59_0_72 = 0) & rel_str(all_0_13_13) = all_59_0_72
% 66.55/30.87  							|
% 66.55/30.87  								| Applying alpha-rule on (184) yields:
% 66.55/30.87  								| (185)  ~ (all_59_0_72 = 0)
% 66.55/30.87  								| (186) rel_str(all_0_13_13) = all_59_0_72
% 66.55/30.87  								|
% 66.55/30.87  								| Instantiating formula (35) with all_0_13_13, all_59_0_72, 0 and discharging atoms rel_str(all_0_13_13) = all_59_0_72, rel_str(all_0_13_13) = 0, yields:
% 66.55/30.87  								| (187) all_59_0_72 = 0
% 66.55/30.87  								|
% 66.55/30.87  								| Equations (187) can reduce 185 to:
% 66.55/30.87  								| (148) $false
% 66.55/30.87  								|
% 66.55/30.87  								|-The branch is then unsatisfiable
% 66.55/30.87  							|-Branch two:
% 66.55/30.87  							| (189) the_InternalRel(all_0_13_13) = all_59_0_72 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ (element(v0, all_0_12_12) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_12_12) = v3) | (((v4 = 0 & in(v2, all_59_0_72) = 0) | ( ~ (v3 = 0) & related(all_0_13_13, v0, v1) = v3)) & ((v3 = 0 & related(all_0_13_13, v0, v1) = 0) | ( ~ (v4 = 0) & in(v2, all_59_0_72) = v4))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (related(all_0_13_13, v0, v1) = v2) |  ~ (element(v0, all_0_12_12) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_12_12) = v3) | (( ~ (v2 = 0) | (v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = 0)) & (v2 = 0 | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = v4))))) &  ! [v0] :  ! [v1] : ( ~ (element(v1, all_0_12_12) = 0) |  ~ (element(v0, all_0_12_12) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (((v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = 0) | ( ~ (v2 = 0) & related(all_0_13_13, v0, v1) = v2)) & ((v2 = 0 & related(all_0_13_13, v0, v1) = 0) | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = v4))))
% 66.55/30.87  							|
% 66.55/30.87  								| Applying alpha-rule on (189) yields:
% 66.55/30.87  								| (190) the_InternalRel(all_0_13_13) = all_59_0_72
% 66.55/30.87  								| (191)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ (element(v0, all_0_12_12) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_12_12) = v3) | (((v4 = 0 & in(v2, all_59_0_72) = 0) | ( ~ (v3 = 0) & related(all_0_13_13, v0, v1) = v3)) & ((v3 = 0 & related(all_0_13_13, v0, v1) = 0) | ( ~ (v4 = 0) & in(v2, all_59_0_72) = v4)))))
% 66.55/30.87  								| (192)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (related(all_0_13_13, v0, v1) = v2) |  ~ (element(v0, all_0_12_12) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & element(v1, all_0_12_12) = v3) | (( ~ (v2 = 0) | (v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = 0)) & (v2 = 0 | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = v4)))))
% 66.55/30.87  								| (193)  ! [v0] :  ! [v1] : ( ~ (element(v1, all_0_12_12) = 0) |  ~ (element(v0, all_0_12_12) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (((v4 = 0 & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = 0) | ( ~ (v2 = 0) & related(all_0_13_13, v0, v1) = v2)) & ((v2 = 0 & related(all_0_13_13, v0, v1) = 0) | ( ~ (v4 = 0) & ordered_pair(v0, v1) = v3 & in(v3, all_59_0_72) = v4))))
% 66.55/30.87  								|
% 66.55/30.87  								| Instantiating formula (192) with all_0_7_7, all_0_8_8, all_0_9_9 and discharging atoms related(all_0_13_13, all_0_9_9, all_0_8_8) = all_0_7_7, element(all_0_9_9, all_0_12_12) = 0, yields:
% 66.55/30.87  								| (194)  ? [v0] :  ? [v1] : (( ~ (v0 = 0) & element(all_0_8_8, all_0_12_12) = v0) | (( ~ (all_0_7_7 = 0) | (v1 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = v0 & in(v0, all_59_0_72) = 0)) & (all_0_7_7 = 0 | ( ~ (v1 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = v0 & in(v0, all_59_0_72) = v1))))
% 66.55/30.87  								|
% 66.55/30.87  								| Instantiating formula (193) with all_0_8_8, all_0_9_9 and discharging atoms element(all_0_8_8, all_0_12_12) = 0, element(all_0_9_9, all_0_12_12) = 0, yields:
% 66.55/30.87  								| (195)  ? [v0] :  ? [v1] :  ? [v2] : (((v2 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = v1 & in(v1, all_59_0_72) = 0) | ( ~ (v0 = 0) & related(all_0_13_13, all_0_9_9, all_0_8_8) = v0)) & ((v0 = 0 & related(all_0_13_13, all_0_9_9, all_0_8_8) = 0) | ( ~ (v2 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = v1 & in(v1, all_59_0_72) = v2)))
% 66.55/30.87  								|
% 66.55/30.87  								| Instantiating (195) with all_145_0_232, all_145_1_233, all_145_2_234 yields:
% 66.55/30.87  								| (196) ((all_145_0_232 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = all_145_1_233 & in(all_145_1_233, all_59_0_72) = 0) | ( ~ (all_145_2_234 = 0) & related(all_0_13_13, all_0_9_9, all_0_8_8) = all_145_2_234)) & ((all_145_2_234 = 0 & related(all_0_13_13, all_0_9_9, all_0_8_8) = 0) | ( ~ (all_145_0_232 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = all_145_1_233 & in(all_145_1_233, all_59_0_72) = all_145_0_232))
% 66.55/30.87  								|
% 66.55/30.87  								| Applying alpha-rule on (196) yields:
% 66.55/30.87  								| (197) (all_145_0_232 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = all_145_1_233 & in(all_145_1_233, all_59_0_72) = 0) | ( ~ (all_145_2_234 = 0) & related(all_0_13_13, all_0_9_9, all_0_8_8) = all_145_2_234)
% 66.55/30.87  								| (198) (all_145_2_234 = 0 & related(all_0_13_13, all_0_9_9, all_0_8_8) = 0) | ( ~ (all_145_0_232 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = all_145_1_233 & in(all_145_1_233, all_59_0_72) = all_145_0_232)
% 66.55/30.88  								|
% 66.55/30.88  								| Instantiating (194) with all_146_0_235, all_146_1_236 yields:
% 66.55/30.88  								| (199) ( ~ (all_146_1_236 = 0) & element(all_0_8_8, all_0_12_12) = all_146_1_236) | (( ~ (all_0_7_7 = 0) | (all_146_0_235 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236 & in(all_146_1_236, all_59_0_72) = 0)) & (all_0_7_7 = 0 | ( ~ (all_146_0_235 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236 & in(all_146_1_236, all_59_0_72) = all_146_0_235)))
% 66.55/30.88  								|
% 66.55/30.88  								+-Applying beta-rule and splitting (119), into two cases.
% 66.55/30.88  								|-Branch one:
% 66.55/30.88  								| (200)  ~ (all_61_0_75 = 0) & rel_str(all_0_11_11) = all_61_0_75
% 66.55/30.88  								|
% 66.55/30.88  									| Applying alpha-rule on (200) yields:
% 66.55/30.88  									| (201)  ~ (all_61_0_75 = 0)
% 66.55/30.88  									| (202) rel_str(all_0_11_11) = all_61_0_75
% 66.55/30.88  									|
% 66.55/30.88  									| Instantiating formula (35) with all_0_11_11, 0, all_61_0_75 and discharging atoms rel_str(all_0_11_11) = all_61_0_75, rel_str(all_0_11_11) = 0, yields:
% 66.55/30.88  									| (203) all_61_0_75 = 0
% 66.55/30.88  									|
% 66.55/30.88  									| Equations (203) can reduce 201 to:
% 66.55/30.88  									| (148) $false
% 66.55/30.88  									|
% 66.55/30.88  									|-The branch is then unsatisfiable
% 66.55/30.88  								|-Branch two:
% 66.55/30.88  								| (205) the_InternalRel(all_0_11_11) = all_61_0_75 &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = 0 & subset(v1, all_0_10_10) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_11_11) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_11_11) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = v5) | ( ~ (v3 = 0) & subset(v1, all_0_10_10) = v3))))) &  ! [v0] :  ! [v1] : ( ~ (subrelstr(v0, all_0_11_11) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = 0 & subset(v2, all_0_10_10) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_10_10) = v3))))) &  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_0_10_10) = 0 & subset(v1, all_61_0_75) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_11_11) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_11_11) = 0) | ( ~ (v5 = 0) & subset(v1, all_61_0_75) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_0_10_10) = v4))))) &  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = 0 & subset(v2, all_0_10_10) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_11_11) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_11_11) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_10_10) = v3))))
% 66.55/30.88  								|
% 66.55/30.88  									| Applying alpha-rule on (205) yields:
% 66.55/30.88  									| (206)  ! [v0] :  ! [v1] : ( ~ (subrelstr(v0, all_0_11_11) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = 0 & subset(v2, all_0_10_10) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_10_10) = v3)))))
% 66.55/30.88  									| (207)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = 0 & subset(v1, all_0_10_10) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_11_11) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_11_11) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = v5) | ( ~ (v3 = 0) & subset(v1, all_0_10_10) = v3)))))
% 66.55/30.88  									| (208)  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_0_10_10) = 0 & subset(v1, all_61_0_75) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_11_11) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_11_11) = 0) | ( ~ (v5 = 0) & subset(v1, all_61_0_75) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_0_10_10) = v4)))))
% 66.55/30.88  									| (209) the_InternalRel(all_0_11_11) = all_61_0_75
% 66.55/30.88  									| (210)  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = 0 & subset(v2, all_0_10_10) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_11_11) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_11_11) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_61_0_75) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_10_10) = v3))))
% 66.55/30.88  									|
% 66.55/30.88  									+-Applying beta-rule and splitting (130), into two cases.
% 66.55/30.88  									|-Branch one:
% 66.55/30.88  									| (211) all_75_0_85 = 0 & relation_of2_as_subset(all_75_1_86, all_0_10_10, all_0_10_10) = 0 & the_InternalRel(all_0_11_11) = all_75_1_86
% 66.55/30.88  									|
% 66.55/30.88  										| Applying alpha-rule on (211) yields:
% 66.55/30.88  										| (212) all_75_0_85 = 0
% 66.55/30.88  										| (213) relation_of2_as_subset(all_75_1_86, all_0_10_10, all_0_10_10) = 0
% 66.55/30.88  										| (214) the_InternalRel(all_0_11_11) = all_75_1_86
% 66.55/30.88  										|
% 66.55/30.88  										+-Applying beta-rule and splitting (141), into two cases.
% 66.55/30.88  										|-Branch one:
% 66.55/30.88  										| (215)  ~ (all_88_0_97 = 0) & rel_str(all_0_13_13) = all_88_0_97
% 66.55/30.88  										|
% 66.55/30.88  											| Applying alpha-rule on (215) yields:
% 66.55/30.88  											| (216)  ~ (all_88_0_97 = 0)
% 66.55/30.88  											| (217) rel_str(all_0_13_13) = all_88_0_97
% 66.55/30.88  											|
% 66.55/30.88  											| Instantiating formula (35) with all_0_13_13, all_88_0_97, 0 and discharging atoms rel_str(all_0_13_13) = all_88_0_97, rel_str(all_0_13_13) = 0, yields:
% 66.55/30.88  											| (218) all_88_0_97 = 0
% 66.55/30.88  											|
% 66.55/30.88  											| Equations (218) can reduce 216 to:
% 66.55/30.88  											| (148) $false
% 66.55/30.88  											|
% 66.55/30.88  											|-The branch is then unsatisfiable
% 66.55/30.88  										|-Branch two:
% 66.55/30.88  										| (220) the_InternalRel(all_0_13_13) = all_88_0_97 &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = 0 & subset(v1, all_0_12_12) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = v5) | ( ~ (v3 = 0) & subset(v1, all_0_12_12) = v3))))) &  ! [v0] :  ! [v1] : ( ~ (subrelstr(v0, all_0_13_13) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = 0 & subset(v2, all_0_12_12) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_12_12) = v3))))) &  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_0_12_12) = 0 & subset(v1, all_88_0_97) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & subset(v1, all_88_0_97) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_0_12_12) = v4))))) &  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = 0 & subset(v2, all_0_12_12) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_13_13) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_12_12) = v3))))
% 66.55/30.88  										|
% 66.55/30.88  											| Applying alpha-rule on (220) yields:
% 66.55/30.88  											| (221) the_InternalRel(all_0_13_13) = all_88_0_97
% 66.55/30.88  											| (222)  ! [v0] :  ! [v1] : ( ~ (subrelstr(v0, all_0_13_13) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = 0 & subset(v2, all_0_12_12) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_12_12) = v3)))))
% 66.55/30.88  											| (223)  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_0_12_12) = 0 & subset(v1, all_88_0_97) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & subset(v1, all_88_0_97) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_0_12_12) = v4)))))
% 66.55/30.88  											| (224)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = 0 & subset(v1, all_0_12_12) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_13_13) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = v5) | ( ~ (v3 = 0) & subset(v1, all_0_12_12) = v3)))))
% 66.55/30.88  											| (225)  ! [v0] : ( ~ (rel_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = 0 & subset(v2, all_0_12_12) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_13_13) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_13_13) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_88_0_97) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_12_12) = v3))))
% 66.55/30.88  											|
% 66.55/30.88  											| Instantiating formula (224) with all_0_10_10, all_0_11_11 and discharging atoms the_carrier(all_0_11_11) = all_0_10_10, yields:
% 66.55/30.88  											| (226)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (( ~ (v0 = 0) & rel_str(all_0_11_11) = v0) | (((v3 = 0 & v1 = 0 & the_InternalRel(all_0_11_11) = v2 & subset(v2, all_88_0_97) = 0 & subset(all_0_10_10, all_0_12_12) = 0) | ( ~ (v0 = 0) & subrelstr(all_0_11_11, all_0_13_13) = v0)) & ((v0 = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0) | ( ~ (v3 = 0) & the_InternalRel(all_0_11_11) = v2 & subset(v2, all_88_0_97) = v3) | ( ~ (v1 = 0) & subset(all_0_10_10, all_0_12_12) = v1))))
% 66.55/30.89  											|
% 66.55/30.89  											| Instantiating formula (222) with 0, all_0_11_11 and discharging atoms subrelstr(all_0_11_11, all_0_13_13) = 0, yields:
% 66.55/30.89  											| (227)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & v1 = 0 & the_carrier(all_0_11_11) = v0 & the_InternalRel(all_0_11_11) = v2 & subset(v2, all_88_0_97) = 0 & subset(v0, all_0_12_12) = 0) | ( ~ (v0 = 0) & rel_str(all_0_11_11) = v0))
% 66.55/30.89  											|
% 66.55/30.89  											| Instantiating (227) with all_172_0_264, all_172_1_265, all_172_2_266, all_172_3_267 yields:
% 66.55/30.89  											| (228) (all_172_0_264 = 0 & all_172_2_266 = 0 & the_carrier(all_0_11_11) = all_172_3_267 & the_InternalRel(all_0_11_11) = all_172_1_265 & subset(all_172_1_265, all_88_0_97) = 0 & subset(all_172_3_267, all_0_12_12) = 0) | ( ~ (all_172_3_267 = 0) & rel_str(all_0_11_11) = all_172_3_267)
% 66.55/30.89  											|
% 66.55/30.89  											| Instantiating (226) with all_175_0_277, all_175_1_278, all_175_2_279, all_175_3_280 yields:
% 66.55/30.89  											| (229) ( ~ (all_175_3_280 = 0) & rel_str(all_0_11_11) = all_175_3_280) | (((all_175_0_277 = 0 & all_175_2_279 = 0 & the_InternalRel(all_0_11_11) = all_175_1_278 & subset(all_175_1_278, all_88_0_97) = 0 & subset(all_0_10_10, all_0_12_12) = 0) | ( ~ (all_175_3_280 = 0) & subrelstr(all_0_11_11, all_0_13_13) = all_175_3_280)) & ((all_175_3_280 = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0) | ( ~ (all_175_0_277 = 0) & the_InternalRel(all_0_11_11) = all_175_1_278 & subset(all_175_1_278, all_88_0_97) = all_175_0_277) | ( ~ (all_175_2_279 = 0) & subset(all_0_10_10, all_0_12_12) = all_175_2_279)))
% 66.55/30.89  											|
% 66.55/30.89  											+-Applying beta-rule and splitting (228), into two cases.
% 66.55/30.89  											|-Branch one:
% 66.55/30.89  											| (230) all_172_0_264 = 0 & all_172_2_266 = 0 & the_carrier(all_0_11_11) = all_172_3_267 & the_InternalRel(all_0_11_11) = all_172_1_265 & subset(all_172_1_265, all_88_0_97) = 0 & subset(all_172_3_267, all_0_12_12) = 0
% 66.55/30.89  											|
% 66.55/30.89  												| Applying alpha-rule on (230) yields:
% 66.55/30.89  												| (231) all_172_2_266 = 0
% 66.55/30.89  												| (232) the_carrier(all_0_11_11) = all_172_3_267
% 66.55/30.89  												| (233) subset(all_172_1_265, all_88_0_97) = 0
% 66.55/30.89  												| (234) subset(all_172_3_267, all_0_12_12) = 0
% 66.55/30.89  												| (235) the_InternalRel(all_0_11_11) = all_172_1_265
% 66.55/30.89  												| (236) all_172_0_264 = 0
% 66.55/30.89  												|
% 66.55/30.89  												+-Applying beta-rule and splitting (142), into two cases.
% 66.55/30.89  												|-Branch one:
% 66.55/30.89  												| (237) all_89_0_98 = 0 & all_89_2_100 = 0 & the_carrier(all_0_11_11) = all_89_3_101 & the_InternalRel(all_0_11_11) = all_89_1_99 & subset(all_89_1_99, all_70_0_82) = 0 & subset(all_89_3_101, all_70_1_83) = 0
% 66.55/30.89  												|
% 66.55/30.89  													| Applying alpha-rule on (237) yields:
% 66.55/30.89  													| (238) subset(all_89_1_99, all_70_0_82) = 0
% 66.55/30.89  													| (239) all_89_2_100 = 0
% 66.55/30.89  													| (240) the_carrier(all_0_11_11) = all_89_3_101
% 66.55/30.89  													| (241) subset(all_89_3_101, all_70_1_83) = 0
% 66.55/30.89  													| (242) the_InternalRel(all_0_11_11) = all_89_1_99
% 66.55/30.89  													| (243) all_89_0_98 = 0
% 66.55/30.89  													|
% 66.55/30.89  													+-Applying beta-rule and splitting (229), into two cases.
% 66.55/30.89  													|-Branch one:
% 66.55/30.89  													| (244)  ~ (all_175_3_280 = 0) & rel_str(all_0_11_11) = all_175_3_280
% 66.55/30.89  													|
% 66.55/30.89  														| Applying alpha-rule on (244) yields:
% 66.55/30.89  														| (245)  ~ (all_175_3_280 = 0)
% 66.55/30.89  														| (246) rel_str(all_0_11_11) = all_175_3_280
% 66.55/30.89  														|
% 66.55/30.89  														| Instantiating formula (35) with all_0_11_11, 0, all_175_3_280 and discharging atoms rel_str(all_0_11_11) = all_175_3_280, rel_str(all_0_11_11) = 0, yields:
% 66.55/30.89  														| (247) all_175_3_280 = 0
% 66.55/30.89  														|
% 66.55/30.89  														| Equations (247) can reduce 245 to:
% 66.55/30.89  														| (148) $false
% 66.55/30.89  														|
% 66.55/30.89  														|-The branch is then unsatisfiable
% 66.55/30.89  													|-Branch two:
% 66.55/30.89  													| (249) ((all_175_0_277 = 0 & all_175_2_279 = 0 & the_InternalRel(all_0_11_11) = all_175_1_278 & subset(all_175_1_278, all_88_0_97) = 0 & subset(all_0_10_10, all_0_12_12) = 0) | ( ~ (all_175_3_280 = 0) & subrelstr(all_0_11_11, all_0_13_13) = all_175_3_280)) & ((all_175_3_280 = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0) | ( ~ (all_175_0_277 = 0) & the_InternalRel(all_0_11_11) = all_175_1_278 & subset(all_175_1_278, all_88_0_97) = all_175_0_277) | ( ~ (all_175_2_279 = 0) & subset(all_0_10_10, all_0_12_12) = all_175_2_279))
% 66.55/30.89  													|
% 66.55/30.89  														| Applying alpha-rule on (249) yields:
% 66.55/30.89  														| (250) (all_175_0_277 = 0 & all_175_2_279 = 0 & the_InternalRel(all_0_11_11) = all_175_1_278 & subset(all_175_1_278, all_88_0_97) = 0 & subset(all_0_10_10, all_0_12_12) = 0) | ( ~ (all_175_3_280 = 0) & subrelstr(all_0_11_11, all_0_13_13) = all_175_3_280)
% 66.55/30.89  														| (251) (all_175_3_280 = 0 & subrelstr(all_0_11_11, all_0_13_13) = 0) | ( ~ (all_175_0_277 = 0) & the_InternalRel(all_0_11_11) = all_175_1_278 & subset(all_175_1_278, all_88_0_97) = all_175_0_277) | ( ~ (all_175_2_279 = 0) & subset(all_0_10_10, all_0_12_12) = all_175_2_279)
% 66.55/30.89  														|
% 66.55/30.89  														+-Applying beta-rule and splitting (199), into two cases.
% 66.55/30.89  														|-Branch one:
% 66.55/30.89  														| (252)  ~ (all_146_1_236 = 0) & element(all_0_8_8, all_0_12_12) = all_146_1_236
% 66.55/30.89  														|
% 66.55/30.89  															| Applying alpha-rule on (252) yields:
% 66.55/30.89  															| (253)  ~ (all_146_1_236 = 0)
% 66.55/30.89  															| (254) element(all_0_8_8, all_0_12_12) = all_146_1_236
% 66.55/30.89  															|
% 66.55/30.89  															| Instantiating formula (27) with all_0_8_8, all_0_12_12, all_146_1_236, 0 and discharging atoms element(all_0_8_8, all_0_12_12) = all_146_1_236, element(all_0_8_8, all_0_12_12) = 0, yields:
% 66.55/30.89  															| (255) all_146_1_236 = 0
% 66.55/30.89  															|
% 66.55/30.89  															| Equations (255) can reduce 253 to:
% 66.55/30.89  															| (148) $false
% 66.55/30.89  															|
% 66.55/30.89  															|-The branch is then unsatisfiable
% 66.55/30.89  														|-Branch two:
% 66.55/30.89  														| (257) ( ~ (all_0_7_7 = 0) | (all_146_0_235 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236 & in(all_146_1_236, all_59_0_72) = 0)) & (all_0_7_7 = 0 | ( ~ (all_146_0_235 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236 & in(all_146_1_236, all_59_0_72) = all_146_0_235))
% 66.55/30.89  														|
% 66.55/30.89  															| Applying alpha-rule on (257) yields:
% 66.55/30.89  															| (258)  ~ (all_0_7_7 = 0) | (all_146_0_235 = 0 & ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236 & in(all_146_1_236, all_59_0_72) = 0)
% 66.55/30.89  															| (259) all_0_7_7 = 0 | ( ~ (all_146_0_235 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236 & in(all_146_1_236, all_59_0_72) = all_146_0_235)
% 66.55/30.89  															|
% 66.55/30.89  															+-Applying beta-rule and splitting (198), into two cases.
% 66.55/30.89  															|-Branch one:
% 66.55/30.89  															| (260) all_145_2_234 = 0 & related(all_0_13_13, all_0_9_9, all_0_8_8) = 0
% 66.55/30.89  															|
% 66.55/30.89  																| Applying alpha-rule on (260) yields:
% 66.55/30.89  																| (261) all_145_2_234 = 0
% 66.55/30.89  																| (262) related(all_0_13_13, all_0_9_9, all_0_8_8) = 0
% 66.55/30.89  																|
% 66.55/30.89  																+-Applying beta-rule and splitting (259), into two cases.
% 66.55/30.89  																|-Branch one:
% 66.55/30.89  																| (263) all_0_7_7 = 0
% 66.55/30.89  																|
% 66.55/30.89  																	| Equations (263) can reduce 80 to:
% 66.55/30.89  																	| (148) $false
% 66.55/30.89  																	|
% 66.55/30.89  																	|-The branch is then unsatisfiable
% 66.55/30.89  																|-Branch two:
% 66.55/30.89  																| (80)  ~ (all_0_7_7 = 0)
% 66.55/30.89  																| (266)  ~ (all_146_0_235 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236 & in(all_146_1_236, all_59_0_72) = all_146_0_235
% 66.55/30.89  																|
% 66.55/30.89  																	| Instantiating formula (32) with all_0_13_13, all_0_9_9, all_0_8_8, 0, all_0_7_7 and discharging atoms related(all_0_13_13, all_0_9_9, all_0_8_8) = all_0_7_7, related(all_0_13_13, all_0_9_9, all_0_8_8) = 0, yields:
% 66.55/30.89  																	| (263) all_0_7_7 = 0
% 66.55/30.89  																	|
% 66.55/30.89  																	| Equations (263) can reduce 80 to:
% 66.55/30.89  																	| (148) $false
% 66.55/30.89  																	|
% 66.55/30.89  																	|-The branch is then unsatisfiable
% 66.55/30.89  															|-Branch two:
% 66.55/30.89  															| (269)  ~ (all_145_0_232 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = all_145_1_233 & in(all_145_1_233, all_59_0_72) = all_145_0_232
% 66.55/30.89  															|
% 66.55/30.89  																| Applying alpha-rule on (269) yields:
% 66.55/30.89  																| (270)  ~ (all_145_0_232 = 0)
% 66.55/30.89  																| (271) ordered_pair(all_0_9_9, all_0_8_8) = all_145_1_233
% 66.55/30.89  																| (272) in(all_145_1_233, all_59_0_72) = all_145_0_232
% 66.55/30.89  																|
% 66.55/30.89  																+-Applying beta-rule and splitting (250), into two cases.
% 66.55/30.89  																|-Branch one:
% 66.55/30.89  																| (273) all_175_0_277 = 0 & all_175_2_279 = 0 & the_InternalRel(all_0_11_11) = all_175_1_278 & subset(all_175_1_278, all_88_0_97) = 0 & subset(all_0_10_10, all_0_12_12) = 0
% 66.55/30.89  																|
% 66.55/30.89  																	| Applying alpha-rule on (273) yields:
% 66.55/30.89  																	| (274) subset(all_175_1_278, all_88_0_97) = 0
% 66.55/30.89  																	| (275) the_InternalRel(all_0_11_11) = all_175_1_278
% 66.55/30.89  																	| (276) all_175_0_277 = 0
% 66.55/30.89  																	| (277) all_175_2_279 = 0
% 66.55/30.89  																	| (278) subset(all_0_10_10, all_0_12_12) = 0
% 66.55/30.89  																	|
% 66.55/30.89  																	+-Applying beta-rule and splitting (259), into two cases.
% 66.55/30.89  																	|-Branch one:
% 66.55/30.89  																	| (263) all_0_7_7 = 0
% 66.55/30.89  																	|
% 66.55/30.89  																		| Equations (263) can reduce 80 to:
% 66.55/30.89  																		| (148) $false
% 66.55/30.89  																		|
% 66.55/30.89  																		|-The branch is then unsatisfiable
% 66.55/30.89  																	|-Branch two:
% 66.55/30.89  																	| (80)  ~ (all_0_7_7 = 0)
% 66.55/30.89  																	| (266)  ~ (all_146_0_235 = 0) & ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236 & in(all_146_1_236, all_59_0_72) = all_146_0_235
% 66.55/30.89  																	|
% 66.55/30.89  																		| Applying alpha-rule on (266) yields:
% 66.55/30.89  																		| (283)  ~ (all_146_0_235 = 0)
% 66.55/30.89  																		| (284) ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236
% 66.55/30.89  																		| (285) in(all_146_1_236, all_59_0_72) = all_146_0_235
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (72) with all_0_9_9, all_0_8_8, all_145_1_233, all_146_1_236 and discharging atoms ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236, ordered_pair(all_0_9_9, all_0_8_8) = all_145_1_233, yields:
% 66.55/30.89  																		| (286) all_146_1_236 = all_145_1_233
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (72) with all_0_9_9, all_0_8_8, all_104_1_168, all_146_1_236 and discharging atoms ordered_pair(all_0_9_9, all_0_8_8) = all_146_1_236, ordered_pair(all_0_9_9, all_0_8_8) = all_104_1_168, yields:
% 66.55/30.89  																		| (287) all_146_1_236 = all_104_1_168
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (87) with all_0_11_11, all_172_1_265, all_175_1_278 and discharging atoms the_InternalRel(all_0_11_11) = all_175_1_278, the_InternalRel(all_0_11_11) = all_172_1_265, yields:
% 66.55/30.89  																		| (288) all_175_1_278 = all_172_1_265
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (87) with all_0_11_11, all_93_1_117, all_175_1_278 and discharging atoms the_InternalRel(all_0_11_11) = all_175_1_278, the_InternalRel(all_0_11_11) = all_93_1_117, yields:
% 66.55/30.89  																		| (289) all_175_1_278 = all_93_1_117
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (87) with all_0_11_11, all_89_1_99, all_172_1_265 and discharging atoms the_InternalRel(all_0_11_11) = all_172_1_265, the_InternalRel(all_0_11_11) = all_89_1_99, yields:
% 66.55/30.89  																		| (290) all_172_1_265 = all_89_1_99
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (87) with all_0_11_11, all_75_1_86, all_89_1_99 and discharging atoms the_InternalRel(all_0_11_11) = all_89_1_99, the_InternalRel(all_0_11_11) = all_75_1_86, yields:
% 66.55/30.89  																		| (291) all_89_1_99 = all_75_1_86
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (87) with all_0_11_11, all_62_0_76, all_75_1_86 and discharging atoms the_InternalRel(all_0_11_11) = all_75_1_86, the_InternalRel(all_0_11_11) = all_62_0_76, yields:
% 66.55/30.89  																		| (292) all_75_1_86 = all_62_0_76
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (87) with all_0_11_11, all_61_0_75, all_172_1_265 and discharging atoms the_InternalRel(all_0_11_11) = all_172_1_265, the_InternalRel(all_0_11_11) = all_61_0_75, yields:
% 66.55/30.89  																		| (293) all_172_1_265 = all_61_0_75
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (87) with all_0_13_13, all_86_1_96, all_88_0_97 and discharging atoms the_InternalRel(all_0_13_13) = all_88_0_97, the_InternalRel(all_0_13_13) = all_86_1_96, yields:
% 66.55/30.89  																		| (294) all_88_0_97 = all_86_1_96
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (87) with all_0_13_13, all_81_0_91, all_86_1_96 and discharging atoms the_InternalRel(all_0_13_13) = all_86_1_96, the_InternalRel(all_0_13_13) = all_81_0_91, yields:
% 66.55/30.89  																		| (295) all_86_1_96 = all_81_0_91
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (87) with all_0_13_13, all_70_0_82, all_88_0_97 and discharging atoms the_InternalRel(all_0_13_13) = all_88_0_97, the_InternalRel(all_0_13_13) = all_70_0_82, yields:
% 66.55/30.89  																		| (296) all_88_0_97 = all_70_0_82
% 66.55/30.89  																		|
% 66.55/30.89  																		| Instantiating formula (87) with all_0_13_13, all_60_1_74, all_86_1_96 and discharging atoms the_InternalRel(all_0_13_13) = all_86_1_96, the_InternalRel(all_0_13_13) = all_60_1_74, yields:
% 66.55/30.90  																		| (297) all_86_1_96 = all_60_1_74
% 66.55/30.90  																		|
% 66.55/30.90  																		| Instantiating formula (87) with all_0_13_13, all_59_0_72, all_88_0_97 and discharging atoms the_InternalRel(all_0_13_13) = all_88_0_97, the_InternalRel(all_0_13_13) = all_59_0_72, yields:
% 66.55/30.90  																		| (298) all_88_0_97 = all_59_0_72
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (288,289) yields a new equation:
% 66.55/30.90  																		| (299) all_172_1_265 = all_93_1_117
% 66.55/30.90  																		|
% 66.55/30.90  																		| Simplifying 299 yields:
% 66.55/30.90  																		| (300) all_172_1_265 = all_93_1_117
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (293,300) yields a new equation:
% 66.55/30.90  																		| (301) all_93_1_117 = all_61_0_75
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (290,300) yields a new equation:
% 66.55/30.90  																		| (302) all_93_1_117 = all_89_1_99
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (286,287) yields a new equation:
% 66.55/30.90  																		| (303) all_145_1_233 = all_104_1_168
% 66.55/30.90  																		|
% 66.55/30.90  																		| Simplifying 303 yields:
% 66.55/30.90  																		| (304) all_145_1_233 = all_104_1_168
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (302,301) yields a new equation:
% 66.55/30.90  																		| (305) all_89_1_99 = all_61_0_75
% 66.55/30.90  																		|
% 66.55/30.90  																		| Simplifying 305 yields:
% 66.55/30.90  																		| (306) all_89_1_99 = all_61_0_75
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (291,306) yields a new equation:
% 66.55/30.90  																		| (307) all_75_1_86 = all_61_0_75
% 66.55/30.90  																		|
% 66.55/30.90  																		| Simplifying 307 yields:
% 66.55/30.90  																		| (308) all_75_1_86 = all_61_0_75
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (298,296) yields a new equation:
% 66.55/30.90  																		| (309) all_70_0_82 = all_59_0_72
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (294,296) yields a new equation:
% 66.55/30.90  																		| (310) all_86_1_96 = all_70_0_82
% 66.55/30.90  																		|
% 66.55/30.90  																		| Simplifying 310 yields:
% 66.55/30.90  																		| (311) all_86_1_96 = all_70_0_82
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (297,295) yields a new equation:
% 66.55/30.90  																		| (312) all_81_0_91 = all_60_1_74
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (311,295) yields a new equation:
% 66.55/30.90  																		| (313) all_81_0_91 = all_70_0_82
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (313,312) yields a new equation:
% 66.55/30.90  																		| (314) all_70_0_82 = all_60_1_74
% 66.55/30.90  																		|
% 66.55/30.90  																		| Simplifying 314 yields:
% 66.55/30.90  																		| (315) all_70_0_82 = all_60_1_74
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (292,308) yields a new equation:
% 66.55/30.90  																		| (316) all_62_0_76 = all_61_0_75
% 66.55/30.90  																		|
% 66.55/30.90  																		| Simplifying 316 yields:
% 66.55/30.90  																		| (317) all_62_0_76 = all_61_0_75
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (309,315) yields a new equation:
% 66.55/30.90  																		| (318) all_60_1_74 = all_59_0_72
% 66.55/30.90  																		|
% 66.55/30.90  																		| Combining equations (318,315) yields a new equation:
% 66.55/30.90  																		| (309) all_70_0_82 = all_59_0_72
% 66.55/30.90  																		|
% 66.55/30.90  																		| From (306)(309) and (238) follows:
% 66.55/30.90  																		| (320) subset(all_61_0_75, all_59_0_72) = 0
% 66.55/30.90  																		|
% 66.55/30.90  																		| From (287) and (285) follows:
% 66.55/30.90  																		| (321) in(all_104_1_168, all_59_0_72) = all_146_0_235
% 66.55/30.90  																		|
% 66.55/30.90  																		| From (304) and (272) follows:
% 66.55/30.90  																		| (322) in(all_104_1_168, all_59_0_72) = all_145_0_232
% 66.55/30.90  																		|
% 66.55/30.90  																		| From (317) and (165) follows:
% 66.55/30.90  																		| (323) in(all_104_1_168, all_61_0_75) = 0
% 66.55/30.90  																		|
% 66.55/30.90  																		| Instantiating formula (8) with all_104_1_168, all_59_0_72, all_145_0_232, all_146_0_235 and discharging atoms in(all_104_1_168, all_59_0_72) = all_146_0_235, in(all_104_1_168, all_59_0_72) = all_145_0_232, yields:
% 66.55/30.90  																		| (324) all_146_0_235 = all_145_0_232
% 66.55/30.90  																		|
% 66.55/30.90  																		| Equations (324) can reduce 283 to:
% 66.55/30.90  																		| (270)  ~ (all_145_0_232 = 0)
% 66.55/30.90  																		|
% 66.55/30.90  																		| From (324) and (321) follows:
% 66.55/30.90  																		| (322) in(all_104_1_168, all_59_0_72) = all_145_0_232
% 66.55/30.90  																		|
% 66.55/30.90  																		| Instantiating formula (100) with all_59_0_72, all_61_0_75 and discharging atoms subset(all_61_0_75, all_59_0_72) = 0, yields:
% 66.55/30.90  																		| (327)  ? [v0] : (powerset(all_59_0_72) = v0 & element(all_61_0_75, v0) = 0)
% 66.55/30.90  																		|
% 66.55/30.90  																		| Instantiating formula (16) with all_145_0_232, all_59_0_72, all_104_1_168 and discharging atoms in(all_104_1_168, all_59_0_72) = all_145_0_232, yields:
% 66.55/30.90  																		| (328) all_145_0_232 = 0 |  ? [v0] : ((v0 = 0 & empty(all_59_0_72) = 0) | ( ~ (v0 = 0) & element(all_104_1_168, all_59_0_72) = v0))
% 66.55/30.90  																		|
% 66.55/30.90  																		| Instantiating (327) with all_292_0_411 yields:
% 66.55/30.90  																		| (329) powerset(all_59_0_72) = all_292_0_411 & element(all_61_0_75, all_292_0_411) = 0
% 66.55/30.90  																		|
% 66.55/30.90  																		| Applying alpha-rule on (329) yields:
% 66.55/30.90  																		| (330) powerset(all_59_0_72) = all_292_0_411
% 66.55/30.90  																		| (331) element(all_61_0_75, all_292_0_411) = 0
% 66.55/30.90  																		|
% 66.55/30.90  																		+-Applying beta-rule and splitting (328), into two cases.
% 66.55/30.90  																		|-Branch one:
% 66.55/30.90  																		| (332) all_145_0_232 = 0
% 66.55/30.90  																		|
% 66.55/30.90  																			| Equations (332) can reduce 270 to:
% 66.55/30.90  																			| (148) $false
% 66.55/30.90  																			|
% 66.55/30.90  																			|-The branch is then unsatisfiable
% 66.55/30.90  																		|-Branch two:
% 66.55/30.90  																		| (270)  ~ (all_145_0_232 = 0)
% 66.55/30.90  																		| (335)  ? [v0] : ((v0 = 0 & empty(all_59_0_72) = 0) | ( ~ (v0 = 0) & element(all_104_1_168, all_59_0_72) = v0))
% 66.55/30.90  																		|
% 66.55/30.90  																			| Instantiating (335) with all_402_0_820 yields:
% 66.55/30.90  																			| (336) (all_402_0_820 = 0 & empty(all_59_0_72) = 0) | ( ~ (all_402_0_820 = 0) & element(all_104_1_168, all_59_0_72) = all_402_0_820)
% 66.55/30.90  																			|
% 66.55/30.90  																			| Instantiating formula (93) with all_292_0_411, all_59_0_72, all_61_0_75, all_104_1_168 and discharging atoms powerset(all_59_0_72) = all_292_0_411, element(all_61_0_75, all_292_0_411) = 0, in(all_104_1_168, all_61_0_75) = 0, yields:
% 66.55/30.90  																			| (337) element(all_104_1_168, all_59_0_72) = 0
% 66.55/30.90  																			|
% 66.55/30.90  																			| Instantiating formula (12) with all_292_0_411, all_59_0_72, all_61_0_75, all_104_1_168 and discharging atoms powerset(all_59_0_72) = all_292_0_411, element(all_61_0_75, all_292_0_411) = 0, in(all_104_1_168, all_61_0_75) = 0, yields:
% 66.55/30.90  																			| (338)  ? [v0] : ( ~ (v0 = 0) & empty(all_59_0_72) = v0)
% 66.55/30.90  																			|
% 66.55/30.90  																			| Instantiating (338) with all_996_0_5420 yields:
% 66.55/30.90  																			| (339)  ~ (all_996_0_5420 = 0) & empty(all_59_0_72) = all_996_0_5420
% 66.55/30.90  																			|
% 66.55/30.90  																			| Applying alpha-rule on (339) yields:
% 66.55/30.90  																			| (340)  ~ (all_996_0_5420 = 0)
% 66.55/30.90  																			| (341) empty(all_59_0_72) = all_996_0_5420
% 66.55/30.90  																			|
% 66.55/30.90  																			+-Applying beta-rule and splitting (336), into two cases.
% 66.55/30.90  																			|-Branch one:
% 66.55/30.90  																			| (342) all_402_0_820 = 0 & empty(all_59_0_72) = 0
% 66.55/30.90  																			|
% 66.55/30.90  																				| Applying alpha-rule on (342) yields:
% 66.55/30.90  																				| (343) all_402_0_820 = 0
% 66.55/30.90  																				| (344) empty(all_59_0_72) = 0
% 66.55/30.90  																				|
% 66.55/30.90  																				| Instantiating formula (23) with all_59_0_72, 0, all_996_0_5420 and discharging atoms empty(all_59_0_72) = all_996_0_5420, empty(all_59_0_72) = 0, yields:
% 66.55/30.90  																				| (345) all_996_0_5420 = 0
% 66.55/30.90  																				|
% 66.55/30.90  																				| Equations (345) can reduce 340 to:
% 66.55/30.90  																				| (148) $false
% 66.55/30.90  																				|
% 66.55/30.90  																				|-The branch is then unsatisfiable
% 66.55/30.90  																			|-Branch two:
% 66.55/30.90  																			| (347)  ~ (all_402_0_820 = 0) & element(all_104_1_168, all_59_0_72) = all_402_0_820
% 66.55/30.90  																			|
% 66.55/30.90  																				| Applying alpha-rule on (347) yields:
% 66.55/30.90  																				| (348)  ~ (all_402_0_820 = 0)
% 66.55/30.90  																				| (349) element(all_104_1_168, all_59_0_72) = all_402_0_820
% 66.55/30.90  																				|
% 66.55/30.90  																				| Instantiating formula (27) with all_104_1_168, all_59_0_72, 0, all_402_0_820 and discharging atoms element(all_104_1_168, all_59_0_72) = all_402_0_820, element(all_104_1_168, all_59_0_72) = 0, yields:
% 66.55/30.90  																				| (343) all_402_0_820 = 0
% 66.55/30.90  																				|
% 66.55/30.90  																				| Equations (343) can reduce 348 to:
% 66.55/30.90  																				| (148) $false
% 66.55/30.90  																				|
% 66.55/30.90  																				|-The branch is then unsatisfiable
% 66.55/30.90  																|-Branch two:
% 66.55/30.90  																| (352)  ~ (all_175_3_280 = 0) & subrelstr(all_0_11_11, all_0_13_13) = all_175_3_280
% 66.55/30.90  																|
% 66.55/30.90  																	| Applying alpha-rule on (352) yields:
% 66.55/30.90  																	| (245)  ~ (all_175_3_280 = 0)
% 66.55/30.90  																	| (354) subrelstr(all_0_11_11, all_0_13_13) = all_175_3_280
% 66.55/30.90  																	|
% 66.55/30.90  																	| Instantiating formula (92) with all_0_11_11, all_0_13_13, all_175_3_280, 0 and discharging atoms subrelstr(all_0_11_11, all_0_13_13) = all_175_3_280, subrelstr(all_0_11_11, all_0_13_13) = 0, yields:
% 66.55/30.90  																	| (247) all_175_3_280 = 0
% 66.55/30.90  																	|
% 66.55/30.90  																	| Equations (247) can reduce 245 to:
% 66.55/30.90  																	| (148) $false
% 66.55/30.90  																	|
% 66.55/30.90  																	|-The branch is then unsatisfiable
% 66.55/30.90  												|-Branch two:
% 66.55/30.90  												| (357)  ~ (all_89_3_101 = 0) & rel_str(all_0_11_11) = all_89_3_101
% 66.55/30.90  												|
% 66.55/30.90  													| Applying alpha-rule on (357) yields:
% 66.55/30.90  													| (358)  ~ (all_89_3_101 = 0)
% 66.55/30.90  													| (359) rel_str(all_0_11_11) = all_89_3_101
% 66.55/30.90  													|
% 66.55/30.90  													| Instantiating formula (35) with all_0_11_11, 0, all_89_3_101 and discharging atoms rel_str(all_0_11_11) = all_89_3_101, rel_str(all_0_11_11) = 0, yields:
% 66.55/30.90  													| (360) all_89_3_101 = 0
% 66.55/30.90  													|
% 66.55/30.90  													| Equations (360) can reduce 358 to:
% 66.55/30.90  													| (148) $false
% 66.55/30.90  													|
% 66.55/30.90  													|-The branch is then unsatisfiable
% 66.55/30.90  											|-Branch two:
% 66.55/30.90  											| (362)  ~ (all_172_3_267 = 0) & rel_str(all_0_11_11) = all_172_3_267
% 66.55/30.90  											|
% 66.55/30.90  												| Applying alpha-rule on (362) yields:
% 66.55/30.90  												| (363)  ~ (all_172_3_267 = 0)
% 66.55/30.90  												| (364) rel_str(all_0_11_11) = all_172_3_267
% 66.55/30.90  												|
% 66.55/30.90  												| Instantiating formula (35) with all_0_11_11, 0, all_172_3_267 and discharging atoms rel_str(all_0_11_11) = all_172_3_267, rel_str(all_0_11_11) = 0, yields:
% 66.55/30.90  												| (365) all_172_3_267 = 0
% 66.55/30.90  												|
% 66.55/30.90  												| Equations (365) can reduce 363 to:
% 66.55/30.90  												| (148) $false
% 66.55/30.90  												|
% 66.55/30.90  												|-The branch is then unsatisfiable
% 66.55/30.90  									|-Branch two:
% 66.55/30.90  									| (367)  ~ (all_75_1_86 = 0) & rel_str(all_0_11_11) = all_75_1_86
% 66.55/30.90  									|
% 66.55/30.90  										| Applying alpha-rule on (367) yields:
% 66.55/30.90  										| (368)  ~ (all_75_1_86 = 0)
% 66.55/30.90  										| (369) rel_str(all_0_11_11) = all_75_1_86
% 66.55/30.90  										|
% 66.55/30.90  										| Instantiating formula (35) with all_0_11_11, 0, all_75_1_86 and discharging atoms rel_str(all_0_11_11) = all_75_1_86, rel_str(all_0_11_11) = 0, yields:
% 66.55/30.91  										| (370) all_75_1_86 = 0
% 66.55/30.91  										|
% 66.55/30.91  										| Equations (370) can reduce 368 to:
% 66.55/30.91  										| (148) $false
% 66.55/30.91  										|
% 66.55/30.91  										|-The branch is then unsatisfiable
% 66.55/30.91  						|-Branch two:
% 66.55/30.91  						| (372)  ~ (all_93_0_116 = 0) & the_InternalRel(all_0_11_11) = all_93_1_117 & subset(all_93_1_117, all_70_0_82) = all_93_0_116
% 66.55/30.91  						|
% 66.55/30.91  							| Applying alpha-rule on (372) yields:
% 66.55/30.91  							| (373)  ~ (all_93_0_116 = 0)
% 66.55/30.91  							| (177) the_InternalRel(all_0_11_11) = all_93_1_117
% 66.55/30.91  							| (375) subset(all_93_1_117, all_70_0_82) = all_93_0_116
% 66.55/30.91  							|
% 66.55/30.91  							| Equations (179) can reduce 373 to:
% 66.55/30.91  							| (148) $false
% 66.55/30.91  							|
% 66.55/30.91  							|-The branch is then unsatisfiable
% 66.55/30.91  					|-Branch two:
% 66.55/30.91  					| (377)  ~ (all_93_2_118 = 0) & subset(all_0_10_10, all_70_1_83) = all_93_2_118
% 66.55/30.91  					|
% 66.55/30.91  						| Applying alpha-rule on (377) yields:
% 66.55/30.91  						| (378)  ~ (all_93_2_118 = 0)
% 66.55/30.91  						| (379) subset(all_0_10_10, all_70_1_83) = all_93_2_118
% 66.55/30.91  						|
% 66.55/30.91  						| Equations (178) can reduce 378 to:
% 66.55/30.91  						| (148) $false
% 66.55/30.91  						|
% 66.55/30.91  						|-The branch is then unsatisfiable
% 66.55/30.91  				|-Branch two:
% 66.55/30.91  				| (381)  ~ (all_93_3_119 = 0) & subrelstr(all_0_11_11, all_0_13_13) = all_93_3_119
% 66.55/30.91  				|
% 66.55/30.91  					| Applying alpha-rule on (381) yields:
% 66.55/30.91  					| (167)  ~ (all_93_3_119 = 0)
% 66.55/30.91  					| (383) subrelstr(all_0_11_11, all_0_13_13) = all_93_3_119
% 66.55/30.91  					|
% 66.55/30.91  					| Instantiating formula (92) with all_0_11_11, all_0_13_13, all_93_3_119, 0 and discharging atoms subrelstr(all_0_11_11, all_0_13_13) = all_93_3_119, subrelstr(all_0_11_11, all_0_13_13) = 0, yields:
% 66.55/30.91  					| (169) all_93_3_119 = 0
% 66.55/30.91  					|
% 66.55/30.91  					| Equations (169) can reduce 167 to:
% 66.55/30.91  					| (148) $false
% 66.55/30.91  					|
% 66.55/30.91  					|-The branch is then unsatisfiable
% 66.55/30.91  		|-Branch two:
% 66.55/30.91  		| (386)  ~ (all_104_2_169 = 0) & related(all_0_11_11, all_0_9_9, all_0_8_8) = all_104_2_169
% 66.55/30.91  		|
% 66.55/30.91  			| Applying alpha-rule on (386) yields:
% 66.55/30.91  			| (387)  ~ (all_104_2_169 = 0)
% 66.55/30.91  			| (388) related(all_0_11_11, all_0_9_9, all_0_8_8) = all_104_2_169
% 66.55/30.91  			|
% 66.55/30.91  			| Instantiating formula (32) with all_0_11_11, all_0_9_9, all_0_8_8, all_104_2_169, 0 and discharging atoms related(all_0_11_11, all_0_9_9, all_0_8_8) = all_104_2_169, related(all_0_11_11, all_0_9_9, all_0_8_8) = 0, yields:
% 66.55/30.91  			| (389) all_104_2_169 = 0
% 66.55/30.91  			|
% 66.55/30.91  			| Equations (389) can reduce 387 to:
% 66.55/30.91  			| (148) $false
% 66.55/30.91  			|
% 66.55/30.91  			|-The branch is then unsatisfiable
% 66.55/30.91  	|-Branch two:
% 66.55/30.91  	| (391)  ~ (all_60_1_74 = 0) & rel_str(all_0_13_13) = all_60_1_74
% 66.55/30.91  	|
% 66.55/30.91  		| Applying alpha-rule on (391) yields:
% 66.55/30.91  		| (392)  ~ (all_60_1_74 = 0)
% 66.55/30.91  		| (393) rel_str(all_0_13_13) = all_60_1_74
% 66.55/30.91  		|
% 66.55/30.91  		| Instantiating formula (35) with all_0_13_13, all_60_1_74, 0 and discharging atoms rel_str(all_0_13_13) = all_60_1_74, rel_str(all_0_13_13) = 0, yields:
% 66.55/30.91  		| (394) all_60_1_74 = 0
% 66.55/30.91  		|
% 66.55/30.91  		| Equations (394) can reduce 392 to:
% 66.55/30.91  		| (148) $false
% 66.55/30.91  		|
% 66.55/30.91  		|-The branch is then unsatisfiable
% 66.55/30.91  % SZS output end Proof for theBenchmark
% 66.55/30.91  
% 66.55/30.91  30327ms
%------------------------------------------------------------------------------