%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SEU002+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n005.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 08:46:08 EDT 2022

% Result   : Theorem 9.41s 2.84s
% Output   : Proof 28.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU002+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 19:43:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.58          ____       _                          
% 0.20/0.58    ___  / __ \_____(_)___  ________  __________
% 0.20/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.20/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.20/0.58  
% 0.20/0.58  A Theorem Prover for First-Order Logic
% 0.20/0.58  (ePrincess v.1.0)
% 0.20/0.58  
% 0.20/0.58  (c) Philipp Rümmer, 2009-2015
% 0.20/0.58  (c) Peter Backeman, 2014-2015
% 0.20/0.58  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.58  Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.58  Bug reports to peter@backeman.se
% 0.20/0.58  
% 0.20/0.58  For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.58  
% 0.20/0.58  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.64  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.64/0.98  Prover 0: Preprocessing ...
% 2.63/1.26  Prover 0: Warning: ignoring some quantifiers
% 2.63/1.28  Prover 0: Constructing countermodel ...
% 9.41/2.84  Prover 0: proved (2200ms)
% 9.41/2.84  
% 9.41/2.84  No countermodel exists, formula is valid
% 9.41/2.84  % SZS status Theorem for theBenchmark
% 9.41/2.84  
% 9.41/2.84  Generating proof ... Warning: ignoring some quantifiers
% 26.41/7.44  found it (size 754)
% 26.41/7.44  
% 26.41/7.44  % SZS output start Proof for theBenchmark
% 26.41/7.44  Assumed formulas after preprocessing and simplification: 
% 26.41/7.44  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (relation_composition(v3, v1) = v4 & relation_rng(v4) = v5 & relation_rng(v1) = v2 & relation_empty_yielding(v6) & relation_empty_yielding(empty_set) & relation(v11) & relation(v10) & relation(v8) & relation(v6) & relation(v3) & relation(v1) & relation(empty_set) & function(v11) & function(v3) & function(v1) & empty(v10) & empty(v9) & empty(empty_set) & in(v0, v5) &  ~ empty(v8) &  ~ empty(v7) &  ~ in(v0, v2) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (relation_composition(v14, v13) = v15) |  ~ (apply(v15, v12) = v16) |  ~ relation(v14) |  ~ relation(v13) |  ~ function(v14) |  ~ function(v13) |  ? [v17] :  ? [v18] :  ? [v19] : (relation_dom(v15) = v17 & apply(v14, v12) = v18 & apply(v13, v18) = v19 & (v19 = v16 |  ~ in(v12, v17)))) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (relation_dom(v13) = v14) |  ~ (apply(v15, v12) = v16) |  ~ relation(v15) |  ~ relation(v13) |  ~ function(v15) |  ~ function(v13) |  ? [v17] :  ? [v18] :  ? [v19] : (relation_composition(v15, v13) = v17 & relation_dom(v17) = v18 & relation_dom(v15) = v19 & ( ~ in(v16, v14) |  ~ in(v12, v19) | in(v12, v18)) & ( ~ in(v12, v18) | (in(v16, v14) & in(v12, v19))))) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (apply(v14, v12) = v15) |  ~ (apply(v13, v15) = v16) |  ~ relation(v14) |  ~ relation(v13) |  ~ function(v14) |  ~ function(v13) |  ? [v17] :  ? [v18] :  ? [v19] : (relation_composition(v14, v13) = v17 & relation_dom(v17) = v18 & apply(v17, v12) = v19 & (v19 = v16 |  ~ in(v12, v18)))) &  ? [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (relation_composition(v15, v13) = v16) |  ~ (relation_dom(v13) = v14) |  ~ relation(v15) |  ~ relation(v13) |  ~ function(v15) |  ~ function(v13) |  ? [v17] :  ? [v18] :  ? [v19] : (relation_dom(v16) = v17 & relation_dom(v15) = v18 & apply(v15, v12) = v19 & ( ~ in(v19, v14) |  ~ in(v12, v18) | in(v12, v17)) & ( ~ in(v12, v17) | (in(v19, v14) & in(v12, v18))))) &  ? [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (relation_dom(v15) = v16) |  ~ (relation_dom(v13) = v14) |  ~ relation(v15) |  ~ relation(v13) |  ~ function(v15) |  ~ function(v13) |  ? [v17] :  ? [v18] :  ? [v19] : (relation_composition(v15, v13) = v17 & relation_dom(v17) = v18 & apply(v15, v12) = v19 & ( ~ in(v19, v14) |  ~ in(v12, v16) | in(v12, v18)) & ( ~ in(v12, v18) | (in(v19, v14) & in(v12, v16))))) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v13 = v12 |  ~ (relation_composition(v15, v14) = v13) |  ~ (relation_composition(v15, v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v13 = v12 |  ~ (apply(v15, v14) = v13) |  ~ (apply(v15, v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (powerset(v14) = v15) |  ~ element(v13, v15) |  ~ empty(v14) |  ~ in(v12, v13)) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (powerset(v14) = v15) |  ~ element(v13, v15) |  ~ in(v12, v13) | element(v12, v14)) &  ? [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (relation_composition(v14, v13) = v15) |  ~ relation(v14) |  ~ relation(v13) |  ~ function(v14) |  ~ function(v13) |  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] : (relation_dom(v15) = v16 & apply(v15, v12) = v17 & apply(v14, v12) = v18 & apply(v13, v18) = v19 & (v19 = v17 |  ~ in(v12, v16)))) &  ! [v12] :  ! [v13] :  ! [v14] : (v13 = v12 |  ~ (powerset(v14) = v13) |  ~ (powerset(v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] : (v13 = v12 |  ~ (relation_rng(v14) = v13) |  ~ (relation_rng(v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] : (v13 = v12 |  ~ (relation_dom(v14) = v13) |  ~ (relation_dom(v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (powerset(v13) = v14) |  ~ subset(v12, v13) | element(v12, v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (powerset(v13) = v14) |  ~ element(v12, v14) | subset(v12, v13)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (relation_composition(v13, v12) = v14) |  ~ relation(v13) |  ~ empty(v12) | relation(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (relation_composition(v13, v12) = v14) |  ~ relation(v13) |  ~ empty(v12) | empty(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (relation_composition(v12, v13) = v14) |  ~ relation(v13) |  ~ relation(v12) |  ~ function(v13) |  ~ function(v12) | relation(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (relation_composition(v12, v13) = v14) |  ~ relation(v13) |  ~ relation(v12) |  ~ function(v13) |  ~ function(v12) | function(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (relation_composition(v12, v13) = v14) |  ~ relation(v13) |  ~ relation(v12) | relation(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (relation_composition(v12, v13) = v14) |  ~ relation(v13) |  ~ empty(v12) | relation(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (relation_composition(v12, v13) = v14) |  ~ relation(v13) |  ~ empty(v12) | empty(v14)) &  ! [v12] :  ! [v13] : (v13 = v12 |  ~ empty(v13) |  ~ empty(v12)) &  ! [v12] :  ! [v13] : ( ~ (powerset(v12) = v13) |  ~ empty(v13)) &  ! [v12] :  ! [v13] : ( ~ (powerset(v12) = v13) | empty(v12) |  ? [v14] : (element(v14, v13) &  ~ empty(v14))) &  ! [v12] :  ! [v13] : ( ~ (powerset(v12) = v13) |  ? [v14] : (element(v14, v13) & empty(v14))) &  ! [v12] :  ! [v13] : ( ~ (relation_rng(v12) = v13) |  ~ relation(v12) |  ~ function(v12) |  ? [v14] : (relation_dom(v12) = v14 &  ! [v15] :  ! [v16] : ( ~ (apply(v12, v16) = v15) |  ~ in(v16, v14) | in(v15, v13)) &  ! [v15] : ( ~ in(v15, v13) |  ? [v16] : (apply(v12, v16) = v15 & in(v16, v14))) &  ? [v15] : (v15 = v13 |  ? [v16] :  ? [v17] :  ? [v18] : (( ~ in(v16, v15) |  ! [v19] : ( ~ (apply(v12, v19) = v16) |  ~ in(v19, v14))) & (in(v16, v15) | (v18 = v16 & apply(v12, v17) = v16 & in(v17, v14))))))) &  ! [v12] :  ! [v13] : ( ~ (relation_rng(v12) = v13) |  ~ relation(v12) |  ~ empty(v13) | empty(v12)) &  ! [v12] :  ! [v13] : ( ~ (relation_rng(v12) = v13) |  ~ empty(v12) | relation(v13)) &  ! [v12] :  ! [v13] : ( ~ (relation_rng(v12) = v13) |  ~ empty(v12) | empty(v13)) &  ! [v12] :  ! [v13] : ( ~ (relation_dom(v12) = v13) |  ~ relation(v12) |  ~ function(v12) |  ? [v14] : (relation_rng(v12) = v14 &  ! [v15] :  ! [v16] : ( ~ (apply(v12, v16) = v15) |  ~ in(v16, v13) | in(v15, v14)) &  ! [v15] : ( ~ in(v15, v14) |  ? [v16] : (apply(v12, v16) = v15 & in(v16, v13))) &  ? [v15] : (v15 = v14 |  ? [v16] :  ? [v17] :  ? [v18] : (( ~ in(v16, v15) |  ! [v19] : ( ~ (apply(v12, v19) = v16) |  ~ in(v19, v13))) & (in(v16, v15) | (v18 = v16 & apply(v12, v17) = v16 & in(v17, v13))))))) &  ! [v12] :  ! [v13] : ( ~ (relation_dom(v12) = v13) |  ~ relation(v12) |  ~ empty(v13) | empty(v12)) &  ! [v12] :  ! [v13] : ( ~ (relation_dom(v12) = v13) |  ~ empty(v12) | relation(v13)) &  ! [v12] :  ! [v13] : ( ~ (relation_dom(v12) = v13) |  ~ empty(v12) | empty(v13)) &  ! [v12] :  ! [v13] : ( ~ element(v12, v13) | empty(v13) | in(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ empty(v13) |  ~ in(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ in(v13, v12) |  ~ in(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ in(v12, v13) | element(v12, v13)) &  ! [v12] : (v12 = empty_set |  ~ empty(v12)) &  ! [v12] : ( ~ empty(v12) | relation(v12)) &  ! [v12] : ( ~ empty(v12) | function(v12)) &  ? [v12] :  ? [v13] : element(v13, v12) &  ? [v12] : subset(v12, v12))
% 26.79/7.50  | 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 yields:
% 26.79/7.50  | (1) relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7 & relation_rng(all_0_7_7) = all_0_6_6 & relation_rng(all_0_10_10) = all_0_9_9 & relation_empty_yielding(all_0_5_5) & relation_empty_yielding(empty_set) & relation(all_0_0_0) & relation(all_0_1_1) & relation(all_0_3_3) & relation(all_0_5_5) & relation(all_0_8_8) & relation(all_0_10_10) & relation(empty_set) & function(all_0_0_0) & function(all_0_8_8) & function(all_0_10_10) & empty(all_0_1_1) & empty(all_0_2_2) & empty(empty_set) & in(all_0_11_11, all_0_6_6) &  ~ empty(all_0_3_3) &  ~ empty(all_0_4_4) &  ~ in(all_0_11_11, all_0_9_9) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_composition(v2, v1) = v3) |  ~ (apply(v3, v0) = v4) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v3) = v5 & apply(v2, v0) = v6 & apply(v1, v6) = v7 & (v7 = v4 |  ~ in(v0, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v1) = v2) |  ~ (apply(v3, v0) = v4) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v3, v1) = v5 & relation_dom(v5) = v6 & relation_dom(v3) = v7 & ( ~ in(v4, v2) |  ~ in(v0, v7) | in(v0, v6)) & ( ~ in(v0, v6) | (in(v4, v2) & in(v0, v7))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v2, v0) = v3) |  ~ (apply(v1, v3) = v4) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v2, v1) = v5 & relation_dom(v5) = v6 & apply(v5, v0) = v7 & (v7 = v4 |  ~ in(v0, v6)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_composition(v3, v1) = v4) |  ~ (relation_dom(v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v4) = v5 & relation_dom(v3) = v6 & apply(v3, v0) = v7 & ( ~ in(v7, v2) |  ~ in(v0, v6) | in(v0, v5)) & ( ~ in(v0, v5) | (in(v7, v2) & in(v0, v6))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom(v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v3, v1) = v5 & relation_dom(v5) = v6 & apply(v3, v0) = v7 & ( ~ in(v7, v2) |  ~ in(v0, v4) | in(v0, v6)) & ( ~ in(v0, v6) | (in(v7, v2) & in(v0, v4))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_composition(v3, v2) = v1) |  ~ (relation_composition(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (apply(v3, v2) = v1) |  ~ (apply(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ element(v1, v3) |  ~ empty(v2) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ element(v1, v3) |  ~ in(v0, v1) | element(v0, v2)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v2, v1) = v3) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v3) = v4 & apply(v3, v0) = v5 & apply(v2, v0) = v6 & apply(v1, v6) = v7 & (v7 = v5 |  ~ in(v0, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_dom(v2) = v1) |  ~ (relation_dom(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ subset(v0, v1) | element(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ element(v0, v2) | subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ~ relation(v1) |  ~ empty(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ~ relation(v1) |  ~ empty(v0) | empty(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v1) |  ~ function(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v1) |  ~ function(v0) | function(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ empty(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ empty(v0) | empty(v2)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ empty(v1) |  ~ empty(v0)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ empty(v1)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) |  ? [v2] : (element(v2, v1) &  ~ empty(v2))) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (element(v2, v1) & empty(v2))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (apply(v0, v4) = v3) |  ~ in(v4, v2) | in(v3, v1)) &  ! [v3] : ( ~ in(v3, v1) |  ? [v4] : (apply(v0, v4) = v3 & in(v4, v2))) &  ? [v3] : (v3 = v1 |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v3) |  ! [v7] : ( ~ (apply(v0, v7) = v4) |  ~ in(v7, v2))) & (in(v4, v3) | (v6 = v4 & apply(v0, v5) = v4 & in(v5, v2))))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ empty(v1) | empty(v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ empty(v0) | relation(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ empty(v0) | empty(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (apply(v0, v4) = v3) |  ~ in(v4, v1) | in(v3, v2)) &  ! [v3] : ( ~ in(v3, v2) |  ? [v4] : (apply(v0, v4) = v3 & in(v4, v1))) &  ? [v3] : (v3 = v2 |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v3) |  ! [v7] : ( ~ (apply(v0, v7) = v4) |  ~ in(v7, v1))) & (in(v4, v3) | (v6 = v4 & apply(v0, v5) = v4 & in(v5, v1))))))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ empty(v1) | empty(v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ empty(v0) | relation(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ empty(v0) | empty(v1)) &  ! [v0] :  ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ empty(v1) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ in(v1, v0) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ in(v0, v1) | element(v0, v1)) &  ! [v0] : (v0 = empty_set |  ~ empty(v0)) &  ! [v0] : ( ~ empty(v0) | relation(v0)) &  ! [v0] : ( ~ empty(v0) | function(v0)) &  ? [v0] :  ? [v1] : element(v1, v0) &  ? [v0] : subset(v0, v0)
% 26.79/7.52  |
% 26.79/7.52  | Applying alpha-rule on (1) yields:
% 26.79/7.52  | (2) empty(empty_set)
% 26.79/7.52  | (3)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom(v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v3, v1) = v5 & relation_dom(v5) = v6 & apply(v3, v0) = v7 & ( ~ in(v7, v2) |  ~ in(v0, v4) | in(v0, v6)) & ( ~ in(v0, v6) | (in(v7, v2) & in(v0, v4)))))
% 26.79/7.52  | (4)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ empty(v0) | relation(v1))
% 26.79/7.52  | (5) relation(all_0_0_0)
% 26.79/7.52  | (6)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ element(v0, v2) | subset(v0, v1))
% 26.79/7.52  | (7)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ subset(v0, v1) | element(v0, v2))
% 26.79/7.52  | (8)  ~ empty(all_0_3_3)
% 26.79/7.52  | (9)  ? [v0] :  ? [v1] : element(v1, v0)
% 26.79/7.52  | (10)  ! [v0] : ( ~ empty(v0) | relation(v0))
% 26.79/7.52  | (11) empty(all_0_2_2)
% 26.79/7.52  | (12)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ~ relation(v1) |  ~ empty(v0) | relation(v2))
% 26.79/7.52  | (13)  ~ in(all_0_11_11, all_0_9_9)
% 26.79/7.52  | (14) relation_rng(all_0_7_7) = all_0_6_6
% 26.79/7.52  | (15)  ! [v0] : ( ~ empty(v0) | function(v0))
% 26.79/7.52  | (16)  ~ empty(all_0_4_4)
% 26.79/7.52  | (17)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v1) |  ~ function(v0) | function(v2))
% 26.79/7.53  | (18) function(all_0_0_0)
% 26.79/7.53  | (19)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ empty(v0) | empty(v1))
% 26.79/7.53  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (apply(v3, v2) = v1) |  ~ (apply(v3, v2) = v0))
% 26.79/7.53  | (21) relation(all_0_1_1)
% 26.79/7.53  | (22) relation_empty_yielding(all_0_5_5)
% 26.79/7.53  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v2, v0) = v3) |  ~ (apply(v1, v3) = v4) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v2, v1) = v5 & relation_dom(v5) = v6 & apply(v5, v0) = v7 & (v7 = v4 |  ~ in(v0, v6))))
% 26.79/7.53  | (24)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (apply(v0, v4) = v3) |  ~ in(v4, v2) | in(v3, v1)) &  ! [v3] : ( ~ in(v3, v1) |  ? [v4] : (apply(v0, v4) = v3 & in(v4, v2))) &  ? [v3] : (v3 = v1 |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v3) |  ! [v7] : ( ~ (apply(v0, v7) = v4) |  ~ in(v7, v2))) & (in(v4, v3) | (v6 = v4 & apply(v0, v5) = v4 & in(v5, v2)))))))
% 26.79/7.53  | (25) relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7
% 26.79/7.53  | (26)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v1) |  ~ function(v0) | relation(v2))
% 26.79/7.53  | (27)  ! [v0] :  ! [v1] : ( ~ in(v0, v1) | element(v0, v1))
% 26.79/7.53  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v1) = v2) |  ~ (apply(v3, v0) = v4) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v3, v1) = v5 & relation_dom(v5) = v6 & relation_dom(v3) = v7 & ( ~ in(v4, v2) |  ~ in(v0, v7) | in(v0, v6)) & ( ~ in(v0, v6) | (in(v4, v2) & in(v0, v7)))))
% 26.79/7.53  | (29) relation_empty_yielding(empty_set)
% 26.79/7.53  | (30)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ empty(v0) | relation(v1))
% 26.79/7.53  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ element(v1, v3) |  ~ empty(v2) |  ~ in(v0, v1))
% 26.79/7.53  | (32)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v2, v1) = v3) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v3) = v4 & apply(v3, v0) = v5 & apply(v2, v0) = v6 & apply(v1, v6) = v7 & (v7 = v5 |  ~ in(v0, v4))))
% 26.79/7.53  | (33)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ empty(v0) | empty(v1))
% 26.79/7.53  | (34) function(all_0_10_10)
% 26.79/7.53  | (35)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ element(v1, v3) |  ~ in(v0, v1) | element(v0, v2))
% 26.79/7.53  | (36) relation(all_0_8_8)
% 26.79/7.53  | (37)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_dom(v2) = v1) |  ~ (relation_dom(v2) = v0))
% 26.79/7.53  | (38)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ empty(v0) | empty(v2))
% 26.79/7.53  | (39) relation(all_0_10_10)
% 26.79/7.53  | (40) relation(all_0_5_5)
% 26.79/7.53  | (41)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ empty(v1) | empty(v0))
% 26.79/7.54  | (42)  ! [v0] :  ! [v1] : ( ~ in(v1, v0) |  ~ in(v0, v1))
% 26.79/7.54  | (43)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_composition(v3, v2) = v1) |  ~ (relation_composition(v3, v2) = v0))
% 26.79/7.54  | (44)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_composition(v2, v1) = v3) |  ~ (apply(v3, v0) = v4) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v3) = v5 & apply(v2, v0) = v6 & apply(v1, v6) = v7 & (v7 = v4 |  ~ in(v0, v5))))
% 26.79/7.54  | (45)  ! [v0] : (v0 = empty_set |  ~ empty(v0))
% 26.79/7.54  | (46)  ! [v0] :  ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1))
% 26.79/7.54  | (47)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (apply(v0, v4) = v3) |  ~ in(v4, v1) | in(v3, v2)) &  ! [v3] : ( ~ in(v3, v2) |  ? [v4] : (apply(v0, v4) = v3 & in(v4, v1))) &  ? [v3] : (v3 = v2 |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v3) |  ! [v7] : ( ~ (apply(v0, v7) = v4) |  ~ in(v7, v1))) & (in(v4, v3) | (v6 = v4 & apply(v0, v5) = v4 & in(v5, v1)))))))
% 26.79/7.54  | (48) relation(empty_set)
% 26.79/7.54  | (49)  ? [v0] : subset(v0, v0)
% 26.79/7.54  | (50)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0))
% 26.79/7.54  | (51)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) |  ? [v2] : (element(v2, v1) &  ~ empty(v2)))
% 26.79/7.54  | (52)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ empty(v1) |  ~ empty(v0))
% 26.79/7.54  | (53)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ empty(v1))
% 26.79/7.54  | (54)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ empty(v0) | relation(v2))
% 26.79/7.54  | (55)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2))
% 26.79/7.54  | (56) relation(all_0_3_3)
% 26.79/7.54  | (57)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (element(v2, v1) & empty(v2)))
% 26.79/7.54  | (58)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0))
% 26.79/7.54  | (59)  ! [v0] :  ! [v1] : ( ~ empty(v1) |  ~ in(v0, v1))
% 26.79/7.54  | (60)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ~ relation(v1) |  ~ empty(v0) | empty(v2))
% 26.79/7.54  | (61) in(all_0_11_11, all_0_6_6)
% 26.79/7.54  | (62) empty(all_0_1_1)
% 26.79/7.54  | (63)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_composition(v3, v1) = v4) |  ~ (relation_dom(v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v4) = v5 & relation_dom(v3) = v6 & apply(v3, v0) = v7 & ( ~ in(v7, v2) |  ~ in(v0, v6) | in(v0, v5)) & ( ~ in(v0, v5) | (in(v7, v2) & in(v0, v6)))))
% 26.79/7.54  | (64)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ empty(v1) | empty(v0))
% 26.79/7.54  | (65) relation_rng(all_0_10_10) = all_0_9_9
% 26.79/7.54  | (66) function(all_0_8_8)
% 26.79/7.54  |
% 26.79/7.54  | Instantiating (32) with all_5_0_14 yields:
% 26.79/7.54  | (67)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v1) |  ~ function(v0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_dom(v2) = v3 & apply(v2, all_5_0_14) = v4 & apply(v1, all_5_0_14) = v5 & apply(v0, v5) = v6 & (v6 = v4 |  ~ in(all_5_0_14, v3))))
% 26.79/7.55  |
% 26.79/7.55  | Instantiating (3) with all_7_0_15 yields:
% 26.79/7.55  | (68)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ relation(v2) |  ~ relation(v0) |  ~ function(v2) |  ~ function(v0) |  ? [v4] :  ? [v5] :  ? [v6] : (relation_composition(v2, v0) = v4 & relation_dom(v4) = v5 & apply(v2, all_7_0_15) = v6 & ( ~ in(v6, v1) |  ~ in(all_7_0_15, v3) | in(all_7_0_15, v5)) & ( ~ in(all_7_0_15, v5) | (in(v6, v1) & in(all_7_0_15, v3)))))
% 26.79/7.55  |
% 26.79/7.55  | Instantiating (63) with all_11_0_17 yields:
% 26.79/7.55  | (69)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v2, v0) = v3) |  ~ (relation_dom(v0) = v1) |  ~ relation(v2) |  ~ relation(v0) |  ~ function(v2) |  ~ function(v0) |  ? [v4] :  ? [v5] :  ? [v6] : (relation_dom(v3) = v4 & relation_dom(v2) = v5 & apply(v2, all_11_0_17) = v6 & ( ~ in(v6, v1) |  ~ in(all_11_0_17, v5) | in(all_11_0_17, v4)) & ( ~ in(all_11_0_17, v4) | (in(v6, v1) & in(all_11_0_17, v5)))))
% 26.79/7.55  |
% 26.79/7.55  | Instantiating formula (67) with all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 26.79/7.55  | (70)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (relation_dom(all_0_7_7) = v0 & apply(all_0_7_7, all_5_0_14) = v1 & apply(all_0_8_8, all_5_0_14) = v2 & apply(all_0_10_10, v2) = v3 & (v3 = v1 |  ~ in(all_5_0_14, v0)))
% 26.79/7.55  |
% 26.79/7.55  | Instantiating formula (26) with all_0_7_7, all_0_10_10, all_0_8_8 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 26.79/7.55  | (71) relation(all_0_7_7)
% 26.79/7.55  |
% 26.79/7.55  | Instantiating formula (17) with all_0_7_7, all_0_10_10, all_0_8_8 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 26.79/7.55  | (72) function(all_0_7_7)
% 26.79/7.55  |
% 26.79/7.55  | Instantiating formula (24) with all_0_9_9, all_0_10_10 and discharging atoms relation_rng(all_0_10_10) = all_0_9_9, relation(all_0_10_10), function(all_0_10_10), yields:
% 26.79/7.55  | (73)  ? [v0] : (relation_dom(all_0_10_10) = v0 &  ! [v1] :  ! [v2] : ( ~ (apply(all_0_10_10, v2) = v1) |  ~ in(v2, v0) | in(v1, all_0_9_9)) &  ! [v1] : ( ~ in(v1, all_0_9_9) |  ? [v2] : (apply(all_0_10_10, v2) = v1 & in(v2, v0))) &  ? [v1] : (v1 = all_0_9_9 |  ? [v2] :  ? [v3] :  ? [v4] : (( ~ in(v2, v1) |  ! [v5] : ( ~ (apply(all_0_10_10, v5) = v2) |  ~ in(v5, v0))) & (in(v2, v1) | (v4 = v2 & apply(all_0_10_10, v3) = v2 & in(v3, v0))))))
% 26.79/7.55  |
% 26.79/7.55  | Instantiating (70) with all_23_0_18, all_23_1_19, all_23_2_20, all_23_3_21 yields:
% 26.79/7.55  | (74) relation_dom(all_0_7_7) = all_23_3_21 & apply(all_0_7_7, all_5_0_14) = all_23_2_20 & apply(all_0_8_8, all_5_0_14) = all_23_1_19 & apply(all_0_10_10, all_23_1_19) = all_23_0_18 & (all_23_0_18 = all_23_2_20 |  ~ in(all_5_0_14, all_23_3_21))
% 26.79/7.55  |
% 26.79/7.55  | Applying alpha-rule on (74) yields:
% 26.79/7.55  | (75) apply(all_0_10_10, all_23_1_19) = all_23_0_18
% 26.79/7.55  | (76) apply(all_0_7_7, all_5_0_14) = all_23_2_20
% 26.79/7.55  | (77) relation_dom(all_0_7_7) = all_23_3_21
% 26.79/7.55  | (78) apply(all_0_8_8, all_5_0_14) = all_23_1_19
% 26.79/7.55  | (79) all_23_0_18 = all_23_2_20 |  ~ in(all_5_0_14, all_23_3_21)
% 26.79/7.55  |
% 26.79/7.55  | Instantiating (73) with all_25_0_22 yields:
% 26.79/7.55  | (80) relation_dom(all_0_10_10) = all_25_0_22 &  ! [v0] :  ! [v1] : ( ~ (apply(all_0_10_10, v1) = v0) |  ~ in(v1, all_25_0_22) | in(v0, all_0_9_9)) &  ! [v0] : ( ~ in(v0, all_0_9_9) |  ? [v1] : (apply(all_0_10_10, v1) = v0 & in(v1, all_25_0_22))) &  ? [v0] : (v0 = all_0_9_9 |  ? [v1] :  ? [v2] :  ? [v3] : (( ~ in(v1, v0) |  ! [v4] : ( ~ (apply(all_0_10_10, v4) = v1) |  ~ in(v4, all_25_0_22))) & (in(v1, v0) | (v3 = v1 & apply(all_0_10_10, v2) = v1 & in(v2, all_25_0_22)))))
% 26.79/7.56  |
% 26.79/7.56  | Applying alpha-rule on (80) yields:
% 26.79/7.56  | (81) relation_dom(all_0_10_10) = all_25_0_22
% 26.79/7.56  | (82)  ! [v0] :  ! [v1] : ( ~ (apply(all_0_10_10, v1) = v0) |  ~ in(v1, all_25_0_22) | in(v0, all_0_9_9))
% 26.79/7.56  | (83)  ! [v0] : ( ~ in(v0, all_0_9_9) |  ? [v1] : (apply(all_0_10_10, v1) = v0 & in(v1, all_25_0_22)))
% 26.79/7.56  | (84)  ? [v0] : (v0 = all_0_9_9 |  ? [v1] :  ? [v2] :  ? [v3] : (( ~ in(v1, v0) |  ! [v4] : ( ~ (apply(all_0_10_10, v4) = v1) |  ~ in(v4, all_25_0_22))) & (in(v1, v0) | (v3 = v1 & apply(all_0_10_10, v2) = v1 & in(v2, all_25_0_22)))))
% 26.79/7.56  |
% 26.79/7.56  | Instantiating formula (69) with all_0_7_7, all_0_8_8, all_25_0_22, all_0_10_10 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, relation_dom(all_0_10_10) = all_25_0_22, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 26.79/7.56  | (85)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_0_7_7) = v0 & relation_dom(all_0_8_8) = v1 & apply(all_0_8_8, all_11_0_17) = v2 & ( ~ in(v2, all_25_0_22) |  ~ in(all_11_0_17, v1) | in(all_11_0_17, v0)) & ( ~ in(all_11_0_17, v0) | (in(v2, all_25_0_22) & in(all_11_0_17, v1))))
% 26.79/7.56  |
% 26.79/7.56  | Instantiating formula (68) with all_25_0_22, all_0_10_10, all_25_0_22, all_0_10_10 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, relation(all_0_10_10), function(all_0_10_10), yields:
% 26.79/7.56  | (86)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_10_10, all_0_10_10) = v0 & relation_dom(v0) = v1 & apply(all_0_10_10, all_7_0_15) = v2 & ( ~ in(v2, all_25_0_22) |  ~ in(all_7_0_15, all_25_0_22) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(v2, all_25_0_22) & in(all_7_0_15, all_25_0_22))))
% 26.79/7.56  |
% 26.79/7.56  | Instantiating formula (44) with all_23_2_20, all_0_7_7, all_0_8_8, all_0_10_10, all_5_0_14 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, apply(all_0_7_7, all_5_0_14) = all_23_2_20, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 26.79/7.56  | (87)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_0_7_7) = v0 & apply(all_0_8_8, all_5_0_14) = v1 & apply(all_0_10_10, v1) = v2 & (v2 = all_23_2_20 |  ~ in(all_5_0_14, v0)))
% 26.79/7.56  |
% 26.79/7.56  | Instantiating formula (28) with all_23_1_19, all_0_8_8, all_25_0_22, all_0_10_10, all_5_0_14 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_8_8, all_5_0_14) = all_23_1_19, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 26.79/7.56  | (88)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_23_1_19, all_25_0_22) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_1_19, all_25_0_22) & in(all_5_0_14, v2))))
% 26.79/7.56  |
% 26.79/7.56  | Instantiating formula (28) with all_23_0_18, all_0_10_10, all_25_0_22, all_0_10_10, all_23_1_19 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_10_10, all_23_1_19) = all_23_0_18, relation(all_0_10_10), function(all_0_10_10), yields:
% 26.79/7.56  | (89)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_10_10, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_10_10) = v2 & ( ~ in(all_23_0_18, all_25_0_22) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_23_0_18, all_25_0_22) & in(all_23_1_19, v2))))
% 26.79/7.56  |
% 26.79/7.56  | Instantiating formula (23) with all_23_0_18, all_23_1_19, all_0_8_8, all_0_10_10, all_5_0_14 and discharging atoms apply(all_0_8_8, all_5_0_14) = all_23_1_19, apply(all_0_10_10, all_23_1_19) = all_23_0_18, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 26.79/7.56  | (90)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_10_10) = v0 & relation_dom(v0) = v1 & apply(v0, all_5_0_14) = v2 & (v2 = all_23_0_18 |  ~ in(all_5_0_14, v1)))
% 26.79/7.56  |
% 26.79/7.56  | Instantiating formula (28) with all_23_2_20, all_0_7_7, all_23_3_21, all_0_7_7, all_5_0_14 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_7_7, all_5_0_14) = all_23_2_20, relation(all_0_7_7), function(all_0_7_7), yields:
% 26.79/7.56  | (91)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_2_20, all_23_3_21) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_2_20, all_23_3_21) & in(all_5_0_14, v2))))
% 26.79/7.57  |
% 26.79/7.57  | Instantiating formula (68) with all_23_3_21, all_0_7_7, all_23_3_21, all_0_7_7 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, relation(all_0_7_7), function(all_0_7_7), yields:
% 26.79/7.57  | (92)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_7_7) = v0 & relation_dom(v0) = v1 & apply(all_0_7_7, all_7_0_15) = v2 & ( ~ in(v2, all_23_3_21) |  ~ in(all_7_0_15, all_23_3_21) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(v2, all_23_3_21) & in(all_7_0_15, all_23_3_21))))
% 26.79/7.57  |
% 26.79/7.57  | Instantiating formula (28) with all_23_1_19, all_0_8_8, all_23_3_21, all_0_7_7, all_5_0_14 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_8_8, all_5_0_14) = all_23_1_19, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 26.79/7.57  | (93)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_23_1_19, all_23_3_21) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_1_19, all_23_3_21) & in(all_5_0_14, v2))))
% 26.79/7.57  |
% 26.79/7.57  | Instantiating formula (28) with all_23_0_18, all_0_10_10, all_23_3_21, all_0_7_7, all_23_1_19 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_10_10, all_23_1_19) = all_23_0_18, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 26.79/7.57  | (94)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_10_10, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_10_10) = v2 & ( ~ in(all_23_0_18, all_23_3_21) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_23_0_18, all_23_3_21) & in(all_23_1_19, v2))))
% 26.79/7.57  |
% 26.79/7.57  | Instantiating formula (68) with all_23_3_21, all_0_7_7, all_25_0_22, all_0_10_10 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, relation_dom(all_0_10_10) = all_25_0_22, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 26.79/7.57  | (95)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_10_10) = v0 & relation_dom(v0) = v1 & apply(all_0_7_7, all_7_0_15) = v2 & ( ~ in(v2, all_25_0_22) |  ~ in(all_7_0_15, all_23_3_21) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(v2, all_25_0_22) & in(all_7_0_15, all_23_3_21))))
% 26.79/7.57  |
% 26.79/7.57  | Instantiating formula (28) with all_23_2_20, all_0_7_7, all_25_0_22, all_0_10_10, all_5_0_14 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_7_7, all_5_0_14) = all_23_2_20, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 26.79/7.57  | (96)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_2_20, all_25_0_22) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_2_20, all_25_0_22) & in(all_5_0_14, v2))))
% 26.79/7.57  |
% 26.79/7.57  | Instantiating formula (68) with all_25_0_22, all_0_10_10, all_23_3_21, all_0_7_7 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, relation_dom(all_0_10_10) = all_25_0_22, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 26.79/7.57  | (97)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_10_10, all_0_7_7) = v0 & relation_dom(v0) = v1 & apply(all_0_10_10, all_7_0_15) = v2 & ( ~ in(v2, all_23_3_21) |  ~ in(all_7_0_15, all_25_0_22) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(v2, all_23_3_21) & in(all_7_0_15, all_25_0_22))))
% 26.79/7.57  |
% 26.79/7.57  | Instantiating formula (24) with all_0_6_6, all_0_7_7 and discharging atoms relation_rng(all_0_7_7) = all_0_6_6, relation(all_0_7_7), function(all_0_7_7), yields:
% 26.79/7.57  | (98)  ? [v0] : (relation_dom(all_0_7_7) = v0 &  ! [v1] :  ! [v2] : ( ~ (apply(all_0_7_7, v2) = v1) |  ~ in(v2, v0) | in(v1, all_0_6_6)) &  ! [v1] : ( ~ in(v1, all_0_6_6) |  ? [v2] : (apply(all_0_7_7, v2) = v1 & in(v2, v0))) &  ? [v1] : (v1 = all_0_6_6 |  ? [v2] :  ? [v3] :  ? [v4] : (( ~ in(v2, v1) |  ! [v5] : ( ~ (apply(all_0_7_7, v5) = v2) |  ~ in(v5, v0))) & (in(v2, v1) | (v4 = v2 & apply(all_0_7_7, v3) = v2 & in(v3, v0))))))
% 26.79/7.57  |
% 26.79/7.57  | Instantiating (98) with all_34_0_24 yields:
% 26.79/7.57  | (99) relation_dom(all_0_7_7) = all_34_0_24 &  ! [v0] :  ! [v1] : ( ~ (apply(all_0_7_7, v1) = v0) |  ~ in(v1, all_34_0_24) | in(v0, all_0_6_6)) &  ! [v0] : ( ~ in(v0, all_0_6_6) |  ? [v1] : (apply(all_0_7_7, v1) = v0 & in(v1, all_34_0_24))) &  ? [v0] : (v0 = all_0_6_6 |  ? [v1] :  ? [v2] :  ? [v3] : (( ~ in(v1, v0) |  ! [v4] : ( ~ (apply(all_0_7_7, v4) = v1) |  ~ in(v4, all_34_0_24))) & (in(v1, v0) | (v3 = v1 & apply(all_0_7_7, v2) = v1 & in(v2, all_34_0_24)))))
% 26.79/7.58  |
% 26.79/7.58  | Applying alpha-rule on (99) yields:
% 26.79/7.58  | (100) relation_dom(all_0_7_7) = all_34_0_24
% 26.79/7.58  | (101)  ! [v0] :  ! [v1] : ( ~ (apply(all_0_7_7, v1) = v0) |  ~ in(v1, all_34_0_24) | in(v0, all_0_6_6))
% 26.79/7.58  | (102)  ! [v0] : ( ~ in(v0, all_0_6_6) |  ? [v1] : (apply(all_0_7_7, v1) = v0 & in(v1, all_34_0_24)))
% 26.79/7.58  | (103)  ? [v0] : (v0 = all_0_6_6 |  ? [v1] :  ? [v2] :  ? [v3] : (( ~ in(v1, v0) |  ! [v4] : ( ~ (apply(all_0_7_7, v4) = v1) |  ~ in(v4, all_34_0_24))) & (in(v1, v0) | (v3 = v1 & apply(all_0_7_7, v2) = v1 & in(v2, all_34_0_24)))))
% 26.79/7.58  |
% 26.79/7.58  | Instantiating formula (102) with all_0_11_11 and discharging atoms in(all_0_11_11, all_0_6_6), yields:
% 26.79/7.58  | (104)  ? [v0] : (apply(all_0_7_7, v0) = all_0_11_11 & in(v0, all_34_0_24))
% 26.79/7.58  |
% 26.79/7.58  | Instantiating (97) with all_37_0_25, all_37_1_26, all_37_2_27 yields:
% 27.21/7.58  | (105) relation_composition(all_0_10_10, all_0_7_7) = all_37_2_27 & relation_dom(all_37_2_27) = all_37_1_26 & apply(all_0_10_10, all_7_0_15) = all_37_0_25 & ( ~ in(all_37_0_25, all_23_3_21) |  ~ in(all_7_0_15, all_25_0_22) | in(all_7_0_15, all_37_1_26)) & ( ~ in(all_7_0_15, all_37_1_26) | (in(all_37_0_25, all_23_3_21) & in(all_7_0_15, all_25_0_22)))
% 27.21/7.58  |
% 27.21/7.58  | Applying alpha-rule on (105) yields:
% 27.21/7.58  | (106)  ~ in(all_37_0_25, all_23_3_21) |  ~ in(all_7_0_15, all_25_0_22) | in(all_7_0_15, all_37_1_26)
% 27.21/7.58  | (107) apply(all_0_10_10, all_7_0_15) = all_37_0_25
% 27.21/7.58  | (108) relation_dom(all_37_2_27) = all_37_1_26
% 27.21/7.58  | (109) relation_composition(all_0_10_10, all_0_7_7) = all_37_2_27
% 27.21/7.58  | (110)  ~ in(all_7_0_15, all_37_1_26) | (in(all_37_0_25, all_23_3_21) & in(all_7_0_15, all_25_0_22))
% 27.21/7.58  |
% 27.21/7.58  | Instantiating (95) with all_39_0_28, all_39_1_29, all_39_2_30 yields:
% 27.21/7.58  | (111) relation_composition(all_0_7_7, all_0_10_10) = all_39_2_30 & relation_dom(all_39_2_30) = all_39_1_29 & apply(all_0_7_7, all_7_0_15) = all_39_0_28 & ( ~ in(all_39_0_28, all_25_0_22) |  ~ in(all_7_0_15, all_23_3_21) | in(all_7_0_15, all_39_1_29)) & ( ~ in(all_7_0_15, all_39_1_29) | (in(all_39_0_28, all_25_0_22) & in(all_7_0_15, all_23_3_21)))
% 27.21/7.58  |
% 27.21/7.58  | Applying alpha-rule on (111) yields:
% 27.21/7.58  | (112)  ~ in(all_39_0_28, all_25_0_22) |  ~ in(all_7_0_15, all_23_3_21) | in(all_7_0_15, all_39_1_29)
% 27.21/7.58  | (113) relation_dom(all_39_2_30) = all_39_1_29
% 27.21/7.58  | (114) relation_composition(all_0_7_7, all_0_10_10) = all_39_2_30
% 27.21/7.58  | (115) apply(all_0_7_7, all_7_0_15) = all_39_0_28
% 27.21/7.58  | (116)  ~ in(all_7_0_15, all_39_1_29) | (in(all_39_0_28, all_25_0_22) & in(all_7_0_15, all_23_3_21))
% 27.22/7.58  |
% 27.22/7.58  | Instantiating (94) with all_41_0_31, all_41_1_32, all_41_2_33 yields:
% 27.22/7.58  | (117) relation_composition(all_0_10_10, all_0_7_7) = all_41_2_33 & relation_dom(all_41_2_33) = all_41_1_32 & relation_dom(all_0_10_10) = all_41_0_31 & ( ~ in(all_23_0_18, all_23_3_21) |  ~ in(all_23_1_19, all_41_0_31) | in(all_23_1_19, all_41_1_32)) & ( ~ in(all_23_1_19, all_41_1_32) | (in(all_23_0_18, all_23_3_21) & in(all_23_1_19, all_41_0_31)))
% 27.22/7.58  |
% 27.22/7.58  | Applying alpha-rule on (117) yields:
% 27.22/7.58  | (118) relation_dom(all_41_2_33) = all_41_1_32
% 27.22/7.58  | (119)  ~ in(all_23_0_18, all_23_3_21) |  ~ in(all_23_1_19, all_41_0_31) | in(all_23_1_19, all_41_1_32)
% 27.22/7.58  | (120)  ~ in(all_23_1_19, all_41_1_32) | (in(all_23_0_18, all_23_3_21) & in(all_23_1_19, all_41_0_31))
% 27.22/7.58  | (121) relation_composition(all_0_10_10, all_0_7_7) = all_41_2_33
% 27.22/7.58  | (122) relation_dom(all_0_10_10) = all_41_0_31
% 27.22/7.58  |
% 27.22/7.58  | Instantiating (93) with all_43_0_34, all_43_1_35, all_43_2_36 yields:
% 27.22/7.58  | (123) relation_composition(all_0_8_8, all_0_7_7) = all_43_2_36 & relation_dom(all_43_2_36) = all_43_1_35 & relation_dom(all_0_8_8) = all_43_0_34 & ( ~ in(all_23_1_19, all_23_3_21) |  ~ in(all_5_0_14, all_43_0_34) | in(all_5_0_14, all_43_1_35)) & ( ~ in(all_5_0_14, all_43_1_35) | (in(all_23_1_19, all_23_3_21) & in(all_5_0_14, all_43_0_34)))
% 27.22/7.58  |
% 27.22/7.58  | Applying alpha-rule on (123) yields:
% 27.22/7.58  | (124)  ~ in(all_23_1_19, all_23_3_21) |  ~ in(all_5_0_14, all_43_0_34) | in(all_5_0_14, all_43_1_35)
% 27.22/7.58  | (125)  ~ in(all_5_0_14, all_43_1_35) | (in(all_23_1_19, all_23_3_21) & in(all_5_0_14, all_43_0_34))
% 27.22/7.58  | (126) relation_composition(all_0_8_8, all_0_7_7) = all_43_2_36
% 27.22/7.58  | (127) relation_dom(all_43_2_36) = all_43_1_35
% 27.22/7.59  | (128) relation_dom(all_0_8_8) = all_43_0_34
% 27.22/7.59  |
% 27.22/7.59  | Instantiating (92) with all_45_0_37, all_45_1_38, all_45_2_39 yields:
% 27.22/7.59  | (129) relation_composition(all_0_7_7, all_0_7_7) = all_45_2_39 & relation_dom(all_45_2_39) = all_45_1_38 & apply(all_0_7_7, all_7_0_15) = all_45_0_37 & ( ~ in(all_45_0_37, all_23_3_21) |  ~ in(all_7_0_15, all_23_3_21) | in(all_7_0_15, all_45_1_38)) & ( ~ in(all_7_0_15, all_45_1_38) | (in(all_45_0_37, all_23_3_21) & in(all_7_0_15, all_23_3_21)))
% 27.22/7.59  |
% 27.22/7.59  | Applying alpha-rule on (129) yields:
% 27.22/7.59  | (130)  ~ in(all_7_0_15, all_45_1_38) | (in(all_45_0_37, all_23_3_21) & in(all_7_0_15, all_23_3_21))
% 27.22/7.59  | (131) relation_composition(all_0_7_7, all_0_7_7) = all_45_2_39
% 27.22/7.59  | (132) relation_dom(all_45_2_39) = all_45_1_38
% 27.22/7.59  | (133)  ~ in(all_45_0_37, all_23_3_21) |  ~ in(all_7_0_15, all_23_3_21) | in(all_7_0_15, all_45_1_38)
% 27.22/7.59  | (134) apply(all_0_7_7, all_7_0_15) = all_45_0_37
% 27.22/7.59  |
% 27.22/7.59  | Instantiating (96) with all_47_0_40, all_47_1_41, all_47_2_42 yields:
% 27.22/7.59  | (135) relation_composition(all_0_7_7, all_0_10_10) = all_47_2_42 & relation_dom(all_47_2_42) = all_47_1_41 & relation_dom(all_0_7_7) = all_47_0_40 & ( ~ in(all_23_2_20, all_25_0_22) |  ~ in(all_5_0_14, all_47_0_40) | in(all_5_0_14, all_47_1_41)) & ( ~ in(all_5_0_14, all_47_1_41) | (in(all_23_2_20, all_25_0_22) & in(all_5_0_14, all_47_0_40)))
% 27.22/7.59  |
% 27.22/7.59  | Applying alpha-rule on (135) yields:
% 27.22/7.59  | (136)  ~ in(all_23_2_20, all_25_0_22) |  ~ in(all_5_0_14, all_47_0_40) | in(all_5_0_14, all_47_1_41)
% 27.22/7.59  | (137) relation_composition(all_0_7_7, all_0_10_10) = all_47_2_42
% 27.22/7.59  | (138) relation_dom(all_47_2_42) = all_47_1_41
% 27.22/7.59  | (139) relation_dom(all_0_7_7) = all_47_0_40
% 27.22/7.59  | (140)  ~ in(all_5_0_14, all_47_1_41) | (in(all_23_2_20, all_25_0_22) & in(all_5_0_14, all_47_0_40))
% 27.22/7.59  |
% 27.22/7.59  | Instantiating (87) with all_52_0_44, all_52_1_45, all_52_2_46 yields:
% 27.22/7.59  | (141) relation_dom(all_0_7_7) = all_52_2_46 & apply(all_0_8_8, all_5_0_14) = all_52_1_45 & apply(all_0_10_10, all_52_1_45) = all_52_0_44 & (all_52_0_44 = all_23_2_20 |  ~ in(all_5_0_14, all_52_2_46))
% 27.22/7.59  |
% 27.22/7.59  | Applying alpha-rule on (141) yields:
% 27.22/7.59  | (142) relation_dom(all_0_7_7) = all_52_2_46
% 27.22/7.59  | (143) apply(all_0_8_8, all_5_0_14) = all_52_1_45
% 27.22/7.59  | (144) apply(all_0_10_10, all_52_1_45) = all_52_0_44
% 27.22/7.59  | (145) all_52_0_44 = all_23_2_20 |  ~ in(all_5_0_14, all_52_2_46)
% 27.22/7.59  |
% 27.22/7.59  | Instantiating (86) with all_57_0_48, all_57_1_49, all_57_2_50 yields:
% 27.22/7.59  | (146) relation_composition(all_0_10_10, all_0_10_10) = all_57_2_50 & relation_dom(all_57_2_50) = all_57_1_49 & apply(all_0_10_10, all_7_0_15) = all_57_0_48 & ( ~ in(all_57_0_48, all_25_0_22) |  ~ in(all_7_0_15, all_25_0_22) | in(all_7_0_15, all_57_1_49)) & ( ~ in(all_7_0_15, all_57_1_49) | (in(all_57_0_48, all_25_0_22) & in(all_7_0_15, all_25_0_22)))
% 27.22/7.59  |
% 27.22/7.59  | Applying alpha-rule on (146) yields:
% 27.22/7.59  | (147)  ~ in(all_7_0_15, all_57_1_49) | (in(all_57_0_48, all_25_0_22) & in(all_7_0_15, all_25_0_22))
% 27.22/7.59  | (148) relation_dom(all_57_2_50) = all_57_1_49
% 27.22/7.59  | (149) apply(all_0_10_10, all_7_0_15) = all_57_0_48
% 27.22/7.59  | (150) relation_composition(all_0_10_10, all_0_10_10) = all_57_2_50
% 27.22/7.59  | (151)  ~ in(all_57_0_48, all_25_0_22) |  ~ in(all_7_0_15, all_25_0_22) | in(all_7_0_15, all_57_1_49)
% 27.22/7.59  |
% 27.22/7.59  | Instantiating (85) with all_59_0_51, all_59_1_52, all_59_2_53 yields:
% 27.22/7.59  | (152) relation_dom(all_0_7_7) = all_59_2_53 & relation_dom(all_0_8_8) = all_59_1_52 & apply(all_0_8_8, all_11_0_17) = all_59_0_51 & ( ~ in(all_59_0_51, all_25_0_22) |  ~ in(all_11_0_17, all_59_1_52) | in(all_11_0_17, all_59_2_53)) & ( ~ in(all_11_0_17, all_59_2_53) | (in(all_59_0_51, all_25_0_22) & in(all_11_0_17, all_59_1_52)))
% 27.22/7.59  |
% 27.22/7.59  | Applying alpha-rule on (152) yields:
% 27.22/7.59  | (153)  ~ in(all_59_0_51, all_25_0_22) |  ~ in(all_11_0_17, all_59_1_52) | in(all_11_0_17, all_59_2_53)
% 27.22/7.59  | (154) apply(all_0_8_8, all_11_0_17) = all_59_0_51
% 27.22/7.59  | (155) relation_dom(all_0_8_8) = all_59_1_52
% 27.22/7.59  | (156) relation_dom(all_0_7_7) = all_59_2_53
% 27.22/7.59  | (157)  ~ in(all_11_0_17, all_59_2_53) | (in(all_59_0_51, all_25_0_22) & in(all_11_0_17, all_59_1_52))
% 27.22/7.59  |
% 27.22/7.59  | Instantiating (91) with all_61_0_54, all_61_1_55, all_61_2_56 yields:
% 27.22/7.59  | (158) relation_composition(all_0_7_7, all_0_7_7) = all_61_2_56 & relation_dom(all_61_2_56) = all_61_1_55 & relation_dom(all_0_7_7) = all_61_0_54 & ( ~ in(all_23_2_20, all_23_3_21) |  ~ in(all_5_0_14, all_61_0_54) | in(all_5_0_14, all_61_1_55)) & ( ~ in(all_5_0_14, all_61_1_55) | (in(all_23_2_20, all_23_3_21) & in(all_5_0_14, all_61_0_54)))
% 27.22/7.59  |
% 27.22/7.59  | Applying alpha-rule on (158) yields:
% 27.22/7.59  | (159)  ~ in(all_23_2_20, all_23_3_21) |  ~ in(all_5_0_14, all_61_0_54) | in(all_5_0_14, all_61_1_55)
% 27.22/7.59  | (160) relation_dom(all_0_7_7) = all_61_0_54
% 27.22/7.59  | (161) relation_dom(all_61_2_56) = all_61_1_55
% 27.22/7.59  | (162) relation_composition(all_0_7_7, all_0_7_7) = all_61_2_56
% 27.22/7.59  | (163)  ~ in(all_5_0_14, all_61_1_55) | (in(all_23_2_20, all_23_3_21) & in(all_5_0_14, all_61_0_54))
% 27.22/7.59  |
% 27.22/7.59  | Instantiating (90) with all_63_0_57, all_63_1_58, all_63_2_59 yields:
% 27.22/7.59  | (164) relation_composition(all_0_8_8, all_0_10_10) = all_63_2_59 & relation_dom(all_63_2_59) = all_63_1_58 & apply(all_63_2_59, all_5_0_14) = all_63_0_57 & (all_63_0_57 = all_23_0_18 |  ~ in(all_5_0_14, all_63_1_58))
% 27.22/7.59  |
% 27.22/7.59  | Applying alpha-rule on (164) yields:
% 27.22/7.59  | (165) relation_composition(all_0_8_8, all_0_10_10) = all_63_2_59
% 27.22/7.59  | (166) relation_dom(all_63_2_59) = all_63_1_58
% 27.22/7.59  | (167) apply(all_63_2_59, all_5_0_14) = all_63_0_57
% 27.22/7.59  | (168) all_63_0_57 = all_23_0_18 |  ~ in(all_5_0_14, all_63_1_58)
% 27.22/7.59  |
% 27.22/7.59  | Instantiating (89) with all_65_0_60, all_65_1_61, all_65_2_62 yields:
% 27.22/7.59  | (169) relation_composition(all_0_10_10, all_0_10_10) = all_65_2_62 & relation_dom(all_65_2_62) = all_65_1_61 & relation_dom(all_0_10_10) = all_65_0_60 & ( ~ in(all_23_0_18, all_25_0_22) |  ~ in(all_23_1_19, all_65_0_60) | in(all_23_1_19, all_65_1_61)) & ( ~ in(all_23_1_19, all_65_1_61) | (in(all_23_0_18, all_25_0_22) & in(all_23_1_19, all_65_0_60)))
% 27.22/7.59  |
% 27.22/7.59  | Applying alpha-rule on (169) yields:
% 27.22/7.59  | (170) relation_dom(all_0_10_10) = all_65_0_60
% 27.22/7.59  | (171) relation_composition(all_0_10_10, all_0_10_10) = all_65_2_62
% 27.22/7.59  | (172) relation_dom(all_65_2_62) = all_65_1_61
% 27.22/7.59  | (173)  ~ in(all_23_0_18, all_25_0_22) |  ~ in(all_23_1_19, all_65_0_60) | in(all_23_1_19, all_65_1_61)
% 27.22/7.59  | (174)  ~ in(all_23_1_19, all_65_1_61) | (in(all_23_0_18, all_25_0_22) & in(all_23_1_19, all_65_0_60))
% 27.22/7.59  |
% 27.22/7.59  | Instantiating (88) with all_67_0_63, all_67_1_64, all_67_2_65 yields:
% 27.22/7.59  | (175) relation_composition(all_0_8_8, all_0_10_10) = all_67_2_65 & relation_dom(all_67_2_65) = all_67_1_64 & relation_dom(all_0_8_8) = all_67_0_63 & ( ~ in(all_23_1_19, all_25_0_22) |  ~ in(all_5_0_14, all_67_0_63) | in(all_5_0_14, all_67_1_64)) & ( ~ in(all_5_0_14, all_67_1_64) | (in(all_23_1_19, all_25_0_22) & in(all_5_0_14, all_67_0_63)))
% 27.22/7.59  |
% 27.22/7.59  | Applying alpha-rule on (175) yields:
% 27.22/7.59  | (176) relation_dom(all_0_8_8) = all_67_0_63
% 27.22/7.59  | (177) relation_dom(all_67_2_65) = all_67_1_64
% 27.22/7.59  | (178) relation_composition(all_0_8_8, all_0_10_10) = all_67_2_65
% 27.22/7.60  | (179)  ~ in(all_23_1_19, all_25_0_22) |  ~ in(all_5_0_14, all_67_0_63) | in(all_5_0_14, all_67_1_64)
% 27.22/7.60  | (180)  ~ in(all_5_0_14, all_67_1_64) | (in(all_23_1_19, all_25_0_22) & in(all_5_0_14, all_67_0_63))
% 27.22/7.60  |
% 27.22/7.60  | Instantiating (104) with all_70_0_67 yields:
% 27.22/7.60  | (181) apply(all_0_7_7, all_70_0_67) = all_0_11_11 & in(all_70_0_67, all_34_0_24)
% 27.22/7.60  |
% 27.22/7.60  | Applying alpha-rule on (181) yields:
% 27.22/7.60  | (182) apply(all_0_7_7, all_70_0_67) = all_0_11_11
% 27.22/7.60  | (183) in(all_70_0_67, all_34_0_24)
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (43) with all_0_7_7, all_0_7_7, all_45_2_39, all_61_2_56 and discharging atoms relation_composition(all_0_7_7, all_0_7_7) = all_61_2_56, relation_composition(all_0_7_7, all_0_7_7) = all_45_2_39, yields:
% 27.22/7.60  | (184) all_61_2_56 = all_45_2_39
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (43) with all_0_7_7, all_0_10_10, all_39_2_30, all_47_2_42 and discharging atoms relation_composition(all_0_7_7, all_0_10_10) = all_47_2_42, relation_composition(all_0_7_7, all_0_10_10) = all_39_2_30, yields:
% 27.22/7.60  | (185) all_47_2_42 = all_39_2_30
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (43) with all_0_8_8, all_0_10_10, all_67_2_65, all_0_7_7 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_67_2_65, relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, yields:
% 27.22/7.60  | (186) all_67_2_65 = all_0_7_7
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (43) with all_0_8_8, all_0_10_10, all_63_2_59, all_67_2_65 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_67_2_65, relation_composition(all_0_8_8, all_0_10_10) = all_63_2_59, yields:
% 27.22/7.60  | (187) all_67_2_65 = all_63_2_59
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (43) with all_0_10_10, all_0_7_7, all_37_2_27, all_41_2_33 and discharging atoms relation_composition(all_0_10_10, all_0_7_7) = all_41_2_33, relation_composition(all_0_10_10, all_0_7_7) = all_37_2_27, yields:
% 27.22/7.60  | (188) all_41_2_33 = all_37_2_27
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (43) with all_0_10_10, all_0_10_10, all_57_2_50, all_65_2_62 and discharging atoms relation_composition(all_0_10_10, all_0_10_10) = all_65_2_62, relation_composition(all_0_10_10, all_0_10_10) = all_57_2_50, yields:
% 27.22/7.60  | (189) all_65_2_62 = all_57_2_50
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (37) with all_0_7_7, all_61_0_54, all_23_3_21 and discharging atoms relation_dom(all_0_7_7) = all_61_0_54, relation_dom(all_0_7_7) = all_23_3_21, yields:
% 27.22/7.60  | (190) all_61_0_54 = all_23_3_21
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (37) with all_0_7_7, all_52_2_46, all_61_0_54 and discharging atoms relation_dom(all_0_7_7) = all_61_0_54, relation_dom(all_0_7_7) = all_52_2_46, yields:
% 27.22/7.60  | (191) all_61_0_54 = all_52_2_46
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (37) with all_0_7_7, all_52_2_46, all_59_2_53 and discharging atoms relation_dom(all_0_7_7) = all_59_2_53, relation_dom(all_0_7_7) = all_52_2_46, yields:
% 27.22/7.60  | (192) all_59_2_53 = all_52_2_46
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (37) with all_0_7_7, all_47_0_40, all_59_2_53 and discharging atoms relation_dom(all_0_7_7) = all_59_2_53, relation_dom(all_0_7_7) = all_47_0_40, yields:
% 27.22/7.60  | (193) all_59_2_53 = all_47_0_40
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (37) with all_0_7_7, all_34_0_24, all_59_2_53 and discharging atoms relation_dom(all_0_7_7) = all_59_2_53, relation_dom(all_0_7_7) = all_34_0_24, yields:
% 27.22/7.60  | (194) all_59_2_53 = all_34_0_24
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (37) with all_0_8_8, all_59_1_52, all_67_0_63 and discharging atoms relation_dom(all_0_8_8) = all_67_0_63, relation_dom(all_0_8_8) = all_59_1_52, yields:
% 27.22/7.60  | (195) all_67_0_63 = all_59_1_52
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (37) with all_0_8_8, all_43_0_34, all_67_0_63 and discharging atoms relation_dom(all_0_8_8) = all_67_0_63, relation_dom(all_0_8_8) = all_43_0_34, yields:
% 27.22/7.60  | (196) all_67_0_63 = all_43_0_34
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (37) with all_0_10_10, all_65_0_60, all_25_0_22 and discharging atoms relation_dom(all_0_10_10) = all_65_0_60, relation_dom(all_0_10_10) = all_25_0_22, yields:
% 27.22/7.60  | (197) all_65_0_60 = all_25_0_22
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (37) with all_0_10_10, all_41_0_31, all_65_0_60 and discharging atoms relation_dom(all_0_10_10) = all_65_0_60, relation_dom(all_0_10_10) = all_41_0_31, yields:
% 27.22/7.60  | (198) all_65_0_60 = all_41_0_31
% 27.22/7.60  |
% 27.22/7.60  | Instantiating formula (20) with all_0_7_7, all_7_0_15, all_39_0_28, all_45_0_37 and discharging atoms apply(all_0_7_7, all_7_0_15) = all_45_0_37, apply(all_0_7_7, all_7_0_15) = all_39_0_28, yields:
% 27.22/7.60  | (199) all_45_0_37 = all_39_0_28
% 27.31/7.60  |
% 27.31/7.60  | Instantiating formula (20) with all_0_8_8, all_5_0_14, all_52_1_45, all_23_1_19 and discharging atoms apply(all_0_8_8, all_5_0_14) = all_52_1_45, apply(all_0_8_8, all_5_0_14) = all_23_1_19, yields:
% 27.31/7.60  | (200) all_52_1_45 = all_23_1_19
% 27.31/7.60  |
% 27.31/7.60  | Instantiating formula (20) with all_0_10_10, all_7_0_15, all_37_0_25, all_57_0_48 and discharging atoms apply(all_0_10_10, all_7_0_15) = all_57_0_48, apply(all_0_10_10, all_7_0_15) = all_37_0_25, yields:
% 27.31/7.60  | (201) all_57_0_48 = all_37_0_25
% 27.31/7.60  |
% 27.31/7.60  | Combining equations (195,196) yields a new equation:
% 27.31/7.60  | (202) all_59_1_52 = all_43_0_34
% 27.31/7.60  |
% 27.31/7.60  | Simplifying 202 yields:
% 27.31/7.60  | (203) all_59_1_52 = all_43_0_34
% 27.31/7.60  |
% 27.31/7.60  | Combining equations (186,187) yields a new equation:
% 27.31/7.60  | (204) all_63_2_59 = all_0_7_7
% 27.31/7.60  |
% 27.31/7.60  | Combining equations (198,197) yields a new equation:
% 27.31/7.60  | (205) all_41_0_31 = all_25_0_22
% 27.31/7.60  |
% 27.31/7.60  | Simplifying 205 yields:
% 27.31/7.60  | (206) all_41_0_31 = all_25_0_22
% 27.31/7.60  |
% 27.31/7.60  | Combining equations (191,190) yields a new equation:
% 27.31/7.60  | (207) all_52_2_46 = all_23_3_21
% 27.31/7.60  |
% 27.31/7.60  | Simplifying 207 yields:
% 27.31/7.60  | (208) all_52_2_46 = all_23_3_21
% 27.31/7.60  |
% 27.31/7.60  | Combining equations (192,193) yields a new equation:
% 27.31/7.60  | (209) all_52_2_46 = all_47_0_40
% 27.31/7.60  |
% 27.31/7.60  | Simplifying 209 yields:
% 27.31/7.60  | (210) all_52_2_46 = all_47_0_40
% 27.31/7.60  |
% 27.31/7.60  | Combining equations (194,193) yields a new equation:
% 27.31/7.60  | (211) all_47_0_40 = all_34_0_24
% 27.31/7.60  |
% 27.31/7.60  | Combining equations (210,208) yields a new equation:
% 27.31/7.60  | (212) all_47_0_40 = all_23_3_21
% 27.31/7.60  |
% 27.31/7.60  | Simplifying 212 yields:
% 27.31/7.60  | (213) all_47_0_40 = all_23_3_21
% 27.31/7.60  |
% 27.31/7.60  | Combining equations (211,213) yields a new equation:
% 27.31/7.60  | (214) all_34_0_24 = all_23_3_21
% 27.31/7.60  |
% 27.31/7.60  | Simplifying 214 yields:
% 27.31/7.60  | (215) all_34_0_24 = all_23_3_21
% 27.31/7.60  |
% 27.31/7.60  | Combining equations (204,187) yields a new equation:
% 27.31/7.60  | (186) all_67_2_65 = all_0_7_7
% 27.31/7.60  |
% 27.31/7.60  | From (184) and (162) follows:
% 27.31/7.60  | (131) relation_composition(all_0_7_7, all_0_7_7) = all_45_2_39
% 27.31/7.60  |
% 27.31/7.60  | From (185) and (137) follows:
% 27.31/7.60  | (114) relation_composition(all_0_7_7, all_0_10_10) = all_39_2_30
% 27.31/7.60  |
% 27.31/7.60  | From (204) and (165) follows:
% 27.31/7.60  | (25) relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7
% 27.31/7.60  |
% 27.31/7.60  | From (188) and (121) follows:
% 27.31/7.60  | (109) relation_composition(all_0_10_10, all_0_7_7) = all_37_2_27
% 27.31/7.60  |
% 27.31/7.60  | From (189) and (171) follows:
% 27.31/7.61  | (150) relation_composition(all_0_10_10, all_0_10_10) = all_57_2_50
% 27.31/7.61  |
% 27.31/7.61  | From (186) and (177) follows:
% 27.31/7.61  | (222) relation_dom(all_0_7_7) = all_67_1_64
% 27.31/7.61  |
% 27.31/7.61  | From (189) and (172) follows:
% 27.31/7.61  | (223) relation_dom(all_57_2_50) = all_65_1_61
% 27.31/7.61  |
% 27.31/7.61  | From (204) and (166) follows:
% 27.31/7.61  | (224) relation_dom(all_0_7_7) = all_63_1_58
% 27.31/7.61  |
% 27.31/7.61  | From (184) and (161) follows:
% 27.31/7.61  | (225) relation_dom(all_45_2_39) = all_61_1_55
% 27.31/7.61  |
% 27.31/7.61  | From (185) and (138) follows:
% 27.31/7.61  | (226) relation_dom(all_39_2_30) = all_47_1_41
% 27.31/7.61  |
% 27.31/7.61  | From (188) and (118) follows:
% 27.31/7.61  | (227) relation_dom(all_37_2_27) = all_41_1_32
% 27.31/7.61  |
% 27.31/7.61  | From (215) and (100) follows:
% 27.31/7.61  | (77) relation_dom(all_0_7_7) = all_23_3_21
% 27.31/7.61  |
% 27.31/7.61  | From (203) and (155) follows:
% 27.31/7.61  | (128) relation_dom(all_0_8_8) = all_43_0_34
% 27.31/7.61  |
% 27.31/7.61  | From (206) and (122) follows:
% 27.31/7.61  | (81) relation_dom(all_0_10_10) = all_25_0_22
% 27.31/7.61  |
% 27.31/7.61  | From (204) and (167) follows:
% 27.31/7.61  | (231) apply(all_0_7_7, all_5_0_14) = all_63_0_57
% 27.31/7.61  |
% 27.31/7.61  | From (199) and (134) follows:
% 27.31/7.61  | (115) apply(all_0_7_7, all_7_0_15) = all_39_0_28
% 27.31/7.61  |
% 27.31/7.61  | From (200) and (143) follows:
% 27.31/7.61  | (78) apply(all_0_8_8, all_5_0_14) = all_23_1_19
% 27.31/7.61  |
% 27.31/7.61  | From (200) and (144) follows:
% 27.31/7.61  | (234) apply(all_0_10_10, all_23_1_19) = all_52_0_44
% 27.31/7.61  |
% 27.31/7.61  | From (201) and (149) follows:
% 27.31/7.61  | (107) apply(all_0_10_10, all_7_0_15) = all_37_0_25
% 27.31/7.61  |
% 27.31/7.61  | From (215) and (183) follows:
% 27.31/7.61  | (236) in(all_70_0_67, all_23_3_21)
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (37) with all_57_2_50, all_65_1_61, all_57_1_49 and discharging atoms relation_dom(all_57_2_50) = all_65_1_61, relation_dom(all_57_2_50) = all_57_1_49, yields:
% 27.31/7.61  | (237) all_65_1_61 = all_57_1_49
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (37) with all_45_2_39, all_61_1_55, all_45_1_38 and discharging atoms relation_dom(all_45_2_39) = all_61_1_55, relation_dom(all_45_2_39) = all_45_1_38, yields:
% 27.31/7.61  | (238) all_61_1_55 = all_45_1_38
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (37) with all_39_2_30, all_47_1_41, all_39_1_29 and discharging atoms relation_dom(all_39_2_30) = all_47_1_41, relation_dom(all_39_2_30) = all_39_1_29, yields:
% 27.31/7.61  | (239) all_47_1_41 = all_39_1_29
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (37) with all_37_2_27, all_41_1_32, all_37_1_26 and discharging atoms relation_dom(all_37_2_27) = all_41_1_32, relation_dom(all_37_2_27) = all_37_1_26, yields:
% 27.31/7.61  | (240) all_41_1_32 = all_37_1_26
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (37) with all_0_7_7, all_67_1_64, all_23_3_21 and discharging atoms relation_dom(all_0_7_7) = all_67_1_64, relation_dom(all_0_7_7) = all_23_3_21, yields:
% 27.31/7.61  | (241) all_67_1_64 = all_23_3_21
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (37) with all_0_7_7, all_63_1_58, all_67_1_64 and discharging atoms relation_dom(all_0_7_7) = all_67_1_64, relation_dom(all_0_7_7) = all_63_1_58, yields:
% 27.31/7.61  | (242) all_67_1_64 = all_63_1_58
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (20) with all_0_7_7, all_5_0_14, all_63_0_57, all_23_2_20 and discharging atoms apply(all_0_7_7, all_5_0_14) = all_63_0_57, apply(all_0_7_7, all_5_0_14) = all_23_2_20, yields:
% 27.31/7.61  | (243) all_63_0_57 = all_23_2_20
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (20) with all_0_10_10, all_23_1_19, all_52_0_44, all_23_0_18 and discharging atoms apply(all_0_10_10, all_23_1_19) = all_52_0_44, apply(all_0_10_10, all_23_1_19) = all_23_0_18, yields:
% 27.31/7.61  | (244) all_52_0_44 = all_23_0_18
% 27.31/7.61  |
% 27.31/7.61  | Combining equations (242,241) yields a new equation:
% 27.31/7.61  | (245) all_63_1_58 = all_23_3_21
% 27.31/7.61  |
% 27.31/7.61  | Simplifying 245 yields:
% 27.31/7.61  | (246) all_63_1_58 = all_23_3_21
% 27.31/7.61  |
% 27.31/7.61  | From (237) and (223) follows:
% 27.31/7.61  | (148) relation_dom(all_57_2_50) = all_57_1_49
% 27.31/7.61  |
% 27.31/7.61  | From (238) and (225) follows:
% 27.31/7.61  | (132) relation_dom(all_45_2_39) = all_45_1_38
% 27.31/7.61  |
% 27.31/7.61  | From (239) and (226) follows:
% 27.31/7.61  | (113) relation_dom(all_39_2_30) = all_39_1_29
% 27.31/7.61  |
% 27.31/7.61  | From (240) and (227) follows:
% 27.31/7.61  | (108) relation_dom(all_37_2_27) = all_37_1_26
% 27.31/7.61  |
% 27.31/7.61  | From (246) and (224) follows:
% 27.31/7.61  | (77) relation_dom(all_0_7_7) = all_23_3_21
% 27.31/7.61  |
% 27.31/7.61  | From (243) and (231) follows:
% 27.31/7.61  | (76) apply(all_0_7_7, all_5_0_14) = all_23_2_20
% 27.31/7.61  |
% 27.31/7.61  | From (244) and (234) follows:
% 27.31/7.61  | (75) apply(all_0_10_10, all_23_1_19) = all_23_0_18
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (69) with all_45_2_39, all_0_7_7, all_23_3_21, all_0_7_7 and discharging atoms relation_composition(all_0_7_7, all_0_7_7) = all_45_2_39, relation_dom(all_0_7_7) = all_23_3_21, relation(all_0_7_7), function(all_0_7_7), yields:
% 27.31/7.61  | (254)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_45_2_39) = v0 & relation_dom(all_0_7_7) = v1 & apply(all_0_7_7, all_11_0_17) = v2 & ( ~ in(v2, all_23_3_21) |  ~ in(all_11_0_17, v1) | in(all_11_0_17, v0)) & ( ~ in(all_11_0_17, v0) | (in(v2, all_23_3_21) & in(all_11_0_17, v1))))
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (17) with all_45_2_39, all_0_7_7, all_0_7_7 and discharging atoms relation_composition(all_0_7_7, all_0_7_7) = all_45_2_39, relation(all_0_7_7), function(all_0_7_7), yields:
% 27.31/7.61  | (255) function(all_45_2_39)
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (55) with all_45_2_39, all_0_7_7, all_0_7_7 and discharging atoms relation_composition(all_0_7_7, all_0_7_7) = all_45_2_39, relation(all_0_7_7), yields:
% 27.31/7.61  | (256) relation(all_45_2_39)
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (67) with all_45_2_39, all_0_7_7, all_0_7_7 and discharging atoms relation_composition(all_0_7_7, all_0_7_7) = all_45_2_39, relation(all_0_7_7), function(all_0_7_7), yields:
% 27.31/7.61  | (257)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (relation_dom(all_45_2_39) = v0 & apply(all_45_2_39, all_5_0_14) = v1 & apply(all_0_7_7, v2) = v3 & apply(all_0_7_7, all_5_0_14) = v2 & (v3 = v1 |  ~ in(all_5_0_14, v0)))
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (69) with all_39_2_30, all_0_7_7, all_25_0_22, all_0_10_10 and discharging atoms relation_composition(all_0_7_7, all_0_10_10) = all_39_2_30, relation_dom(all_0_10_10) = all_25_0_22, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.31/7.61  | (258)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_39_2_30) = v0 & relation_dom(all_0_7_7) = v1 & apply(all_0_7_7, all_11_0_17) = v2 & ( ~ in(v2, all_25_0_22) |  ~ in(all_11_0_17, v1) | in(all_11_0_17, v0)) & ( ~ in(all_11_0_17, v0) | (in(v2, all_25_0_22) & in(all_11_0_17, v1))))
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (67) with all_39_2_30, all_0_7_7, all_0_10_10 and discharging atoms relation_composition(all_0_7_7, all_0_10_10) = all_39_2_30, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.31/7.61  | (259)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (relation_dom(all_39_2_30) = v0 & apply(all_39_2_30, all_5_0_14) = v1 & apply(all_0_7_7, all_5_0_14) = v2 & apply(all_0_10_10, v2) = v3 & (v3 = v1 |  ~ in(all_5_0_14, v0)))
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (17) with all_39_2_30, all_0_10_10, all_0_7_7 and discharging atoms relation_composition(all_0_7_7, all_0_10_10) = all_39_2_30, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.31/7.61  | (260) function(all_39_2_30)
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (55) with all_39_2_30, all_0_10_10, all_0_7_7 and discharging atoms relation_composition(all_0_7_7, all_0_10_10) = all_39_2_30, relation(all_0_7_7), relation(all_0_10_10), yields:
% 27.31/7.61  | (261) relation(all_39_2_30)
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (69) with all_43_2_36, all_0_8_8, all_23_3_21, all_0_7_7 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_43_2_36, relation_dom(all_0_7_7) = all_23_3_21, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.31/7.61  | (262)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_43_2_36) = v0 & relation_dom(all_0_8_8) = v1 & apply(all_0_8_8, all_11_0_17) = v2 & ( ~ in(v2, all_23_3_21) |  ~ in(all_11_0_17, v1) | in(all_11_0_17, v0)) & ( ~ in(all_11_0_17, v0) | (in(v2, all_23_3_21) & in(all_11_0_17, v1))))
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (17) with all_43_2_36, all_0_7_7, all_0_8_8 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_43_2_36, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.31/7.61  | (263) function(all_43_2_36)
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (55) with all_43_2_36, all_0_7_7, all_0_8_8 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_43_2_36, relation(all_0_7_7), relation(all_0_8_8), yields:
% 27.31/7.61  | (264) relation(all_43_2_36)
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (67) with all_43_2_36, all_0_8_8, all_0_7_7 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_43_2_36, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.31/7.61  | (265)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (relation_dom(all_43_2_36) = v0 & apply(all_43_2_36, all_5_0_14) = v1 & apply(all_0_7_7, v2) = v3 & apply(all_0_8_8, all_5_0_14) = v2 & (v3 = v1 |  ~ in(all_5_0_14, v0)))
% 27.31/7.61  |
% 27.31/7.61  | Instantiating formula (69) with all_37_2_27, all_0_10_10, all_23_3_21, all_0_7_7 and discharging atoms relation_composition(all_0_10_10, all_0_7_7) = all_37_2_27, relation_dom(all_0_7_7) = all_23_3_21, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.39/7.61  | (266)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_37_2_27) = v0 & relation_dom(all_0_10_10) = v1 & apply(all_0_10_10, all_11_0_17) = v2 & ( ~ in(v2, all_23_3_21) |  ~ in(all_11_0_17, v1) | in(all_11_0_17, v0)) & ( ~ in(all_11_0_17, v0) | (in(v2, all_23_3_21) & in(all_11_0_17, v1))))
% 27.39/7.61  |
% 27.39/7.61  | Instantiating formula (17) with all_37_2_27, all_0_7_7, all_0_10_10 and discharging atoms relation_composition(all_0_10_10, all_0_7_7) = all_37_2_27, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.39/7.62  | (267) function(all_37_2_27)
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (55) with all_37_2_27, all_0_7_7, all_0_10_10 and discharging atoms relation_composition(all_0_10_10, all_0_7_7) = all_37_2_27, relation(all_0_7_7), relation(all_0_10_10), yields:
% 27.39/7.62  | (268) relation(all_37_2_27)
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (67) with all_37_2_27, all_0_10_10, all_0_7_7 and discharging atoms relation_composition(all_0_10_10, all_0_7_7) = all_37_2_27, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.39/7.62  | (269)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (relation_dom(all_37_2_27) = v0 & apply(all_37_2_27, all_5_0_14) = v1 & apply(all_0_7_7, v2) = v3 & apply(all_0_10_10, all_5_0_14) = v2 & (v3 = v1 |  ~ in(all_5_0_14, v0)))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (69) with all_57_2_50, all_0_10_10, all_25_0_22, all_0_10_10 and discharging atoms relation_composition(all_0_10_10, all_0_10_10) = all_57_2_50, relation_dom(all_0_10_10) = all_25_0_22, relation(all_0_10_10), function(all_0_10_10), yields:
% 27.39/7.62  | (270)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_57_2_50) = v0 & relation_dom(all_0_10_10) = v1 & apply(all_0_10_10, all_11_0_17) = v2 & ( ~ in(v2, all_25_0_22) |  ~ in(all_11_0_17, v1) | in(all_11_0_17, v0)) & ( ~ in(all_11_0_17, v0) | (in(v2, all_25_0_22) & in(all_11_0_17, v1))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (17) with all_57_2_50, all_0_10_10, all_0_10_10 and discharging atoms relation_composition(all_0_10_10, all_0_10_10) = all_57_2_50, relation(all_0_10_10), function(all_0_10_10), yields:
% 27.39/7.62  | (271) function(all_57_2_50)
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (55) with all_57_2_50, all_0_10_10, all_0_10_10 and discharging atoms relation_composition(all_0_10_10, all_0_10_10) = all_57_2_50, relation(all_0_10_10), yields:
% 27.39/7.62  | (272) relation(all_57_2_50)
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (67) with all_57_2_50, all_0_10_10, all_0_10_10 and discharging atoms relation_composition(all_0_10_10, all_0_10_10) = all_57_2_50, relation(all_0_10_10), function(all_0_10_10), yields:
% 27.39/7.62  | (273)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (relation_dom(all_57_2_50) = v0 & apply(all_57_2_50, all_5_0_14) = v1 & apply(all_0_10_10, v2) = v3 & apply(all_0_10_10, all_5_0_14) = v2 & (v3 = v1 |  ~ in(all_5_0_14, v0)))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_23_2_20, all_0_7_7, all_43_0_34, all_0_8_8, all_5_0_14 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_7_7, all_5_0_14) = all_23_2_20, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.62  | (274)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_2_20, all_43_0_34) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_2_20, all_43_0_34) & in(all_5_0_14, v2))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_23_1_19, all_0_8_8, all_43_0_34, all_0_8_8, all_5_0_14 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_8_8, all_5_0_14) = all_23_1_19, relation(all_0_8_8), function(all_0_8_8), yields:
% 27.39/7.62  | (275)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_23_1_19, all_43_0_34) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_1_19, all_43_0_34) & in(all_5_0_14, v2))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_23_0_18, all_0_10_10, all_43_0_34, all_0_8_8, all_23_1_19 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_10_10, all_23_1_19) = all_23_0_18, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.62  | (276)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_10_10, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_10_10) = v2 & ( ~ in(all_23_0_18, all_43_0_34) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_23_0_18, all_43_0_34) & in(all_23_1_19, v2))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (68) with all_23_3_21, all_0_7_7, all_43_0_34, all_0_8_8 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, relation_dom(all_0_8_8) = all_43_0_34, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.62  | (277)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_8_8) = v0 & relation_dom(v0) = v1 & apply(all_0_7_7, all_7_0_15) = v2 & ( ~ in(v2, all_43_0_34) |  ~ in(all_7_0_15, all_23_3_21) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(v2, all_43_0_34) & in(all_7_0_15, all_23_3_21))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (68) with all_43_0_34, all_0_8_8, all_23_3_21, all_0_7_7 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, relation_dom(all_0_8_8) = all_43_0_34, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.62  | (278)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_7_7) = v0 & relation_dom(v0) = v1 & apply(all_0_8_8, all_7_0_15) = v2 & ( ~ in(v2, all_23_3_21) |  ~ in(all_7_0_15, all_43_0_34) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(v2, all_23_3_21) & in(all_7_0_15, all_43_0_34))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (68) with all_43_0_34, all_0_8_8, all_25_0_22, all_0_10_10 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, relation_dom(all_0_10_10) = all_25_0_22, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.62  | (279)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_10_10) = v0 & relation_dom(v0) = v1 & apply(all_0_8_8, all_7_0_15) = v2 & ( ~ in(v2, all_25_0_22) |  ~ in(all_7_0_15, all_43_0_34) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(v2, all_25_0_22) & in(all_7_0_15, all_43_0_34))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (68) with all_43_0_34, all_0_8_8, all_43_0_34, all_0_8_8 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, relation(all_0_8_8), function(all_0_8_8), yields:
% 27.39/7.62  | (280)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_8_8) = v0 & relation_dom(v0) = v1 & apply(all_0_8_8, all_7_0_15) = v2 & ( ~ in(v2, all_43_0_34) |  ~ in(all_7_0_15, all_43_0_34) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(v2, all_43_0_34) & in(all_7_0_15, all_43_0_34))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (44) with all_0_11_11, all_0_7_7, all_0_8_8, all_0_10_10, all_70_0_67 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, apply(all_0_7_7, all_70_0_67) = all_0_11_11, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.62  | (281)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_0_7_7) = v0 & apply(all_0_8_8, all_70_0_67) = v1 & apply(all_0_10_10, v1) = v2 & (v2 = all_0_11_11 |  ~ in(all_70_0_67, v0)))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_0_11_11, all_0_7_7, all_23_3_21, all_0_7_7, all_70_0_67 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_7_7, all_70_0_67) = all_0_11_11, relation(all_0_7_7), function(all_0_7_7), yields:
% 27.39/7.62  | (282)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_67, v2) |  ~ in(all_0_11_11, all_23_3_21) | in(all_70_0_67, v1)) & ( ~ in(all_70_0_67, v1) | (in(all_70_0_67, v2) & in(all_0_11_11, all_23_3_21))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_0_11_11, all_0_7_7, all_25_0_22, all_0_10_10, all_70_0_67 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_7_7, all_70_0_67) = all_0_11_11, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.39/7.62  | (283)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_67, v2) |  ~ in(all_0_11_11, all_25_0_22) | in(all_70_0_67, v1)) & ( ~ in(all_70_0_67, v1) | (in(all_70_0_67, v2) & in(all_0_11_11, all_25_0_22))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_0_11_11, all_0_7_7, all_43_0_34, all_0_8_8, all_70_0_67 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_7_7, all_70_0_67) = all_0_11_11, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.62  | (284)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_67, v2) |  ~ in(all_0_11_11, all_43_0_34) | in(all_70_0_67, v1)) & ( ~ in(all_70_0_67, v1) | (in(all_70_0_67, v2) & in(all_0_11_11, all_43_0_34))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (44) with all_39_0_28, all_0_7_7, all_0_8_8, all_0_10_10, all_7_0_15 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, apply(all_0_7_7, all_7_0_15) = all_39_0_28, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.62  | (285)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_0_7_7) = v0 & apply(all_0_8_8, all_7_0_15) = v1 & apply(all_0_10_10, v1) = v2 & (v2 = all_39_0_28 |  ~ in(all_7_0_15, v0)))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_39_0_28, all_0_7_7, all_23_3_21, all_0_7_7, all_7_0_15 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_7_7, all_7_0_15) = all_39_0_28, relation(all_0_7_7), function(all_0_7_7), yields:
% 27.39/7.62  | (286)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_39_0_28, all_23_3_21) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_39_0_28, all_23_3_21) & in(all_7_0_15, v2))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_39_0_28, all_0_7_7, all_25_0_22, all_0_10_10, all_7_0_15 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_7_7, all_7_0_15) = all_39_0_28, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.39/7.62  | (287)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_39_0_28, all_25_0_22) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_39_0_28, all_25_0_22) & in(all_7_0_15, v2))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_39_0_28, all_0_7_7, all_43_0_34, all_0_8_8, all_7_0_15 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_7_7, all_7_0_15) = all_39_0_28, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.62  | (288)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_39_0_28, all_43_0_34) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_39_0_28, all_43_0_34) & in(all_7_0_15, v2))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_59_0_51, all_0_8_8, all_23_3_21, all_0_7_7, all_11_0_17 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_8_8, all_11_0_17) = all_59_0_51, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.62  | (289)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_59_0_51, all_23_3_21) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_59_0_51, all_23_3_21) & in(all_11_0_17, v2))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_59_0_51, all_0_8_8, all_25_0_22, all_0_10_10, all_11_0_17 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_8_8, all_11_0_17) = all_59_0_51, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.62  | (290)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_59_0_51, all_25_0_22) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_59_0_51, all_25_0_22) & in(all_11_0_17, v2))))
% 27.39/7.62  |
% 27.39/7.62  | Instantiating formula (28) with all_59_0_51, all_0_8_8, all_43_0_34, all_0_8_8, all_11_0_17 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_8_8, all_11_0_17) = all_59_0_51, relation(all_0_8_8), function(all_0_8_8), yields:
% 27.39/7.62  | (291)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_59_0_51, all_43_0_34) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_59_0_51, all_43_0_34) & in(all_11_0_17, v2))))
% 27.39/7.63  |
% 27.39/7.63  | Instantiating formula (28) with all_37_0_25, all_0_10_10, all_23_3_21, all_0_7_7, all_7_0_15 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_10_10, all_7_0_15) = all_37_0_25, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.39/7.63  | (292)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_10_10, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_10_10) = v2 & ( ~ in(all_37_0_25, all_23_3_21) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_37_0_25, all_23_3_21) & in(all_7_0_15, v2))))
% 27.39/7.63  |
% 27.39/7.63  | Instantiating formula (28) with all_37_0_25, all_0_10_10, all_25_0_22, all_0_10_10, all_7_0_15 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_10_10, all_7_0_15) = all_37_0_25, relation(all_0_10_10), function(all_0_10_10), yields:
% 27.39/7.63  | (293)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_10_10, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_10_10) = v2 & ( ~ in(all_37_0_25, all_25_0_22) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_37_0_25, all_25_0_22) & in(all_7_0_15, v2))))
% 27.39/7.63  |
% 27.39/7.63  | Instantiating formula (28) with all_37_0_25, all_0_10_10, all_43_0_34, all_0_8_8, all_7_0_15 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_10_10, all_7_0_15) = all_37_0_25, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.63  | (294)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_10_10, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_10_10) = v2 & ( ~ in(all_37_0_25, all_43_0_34) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_37_0_25, all_43_0_34) & in(all_7_0_15, v2))))
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (269) with all_88_0_70, all_88_1_71, all_88_2_72, all_88_3_73 yields:
% 27.39/7.63  | (295) relation_dom(all_37_2_27) = all_88_3_73 & apply(all_37_2_27, all_5_0_14) = all_88_2_72 & apply(all_0_7_7, all_88_1_71) = all_88_0_70 & apply(all_0_10_10, all_5_0_14) = all_88_1_71 & (all_88_0_70 = all_88_2_72 |  ~ in(all_5_0_14, all_88_3_73))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (295) yields:
% 27.39/7.63  | (296) relation_dom(all_37_2_27) = all_88_3_73
% 27.39/7.63  | (297) apply(all_37_2_27, all_5_0_14) = all_88_2_72
% 27.39/7.63  | (298) apply(all_0_7_7, all_88_1_71) = all_88_0_70
% 27.39/7.63  | (299) apply(all_0_10_10, all_5_0_14) = all_88_1_71
% 27.39/7.63  | (300) all_88_0_70 = all_88_2_72 |  ~ in(all_5_0_14, all_88_3_73)
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (283) with all_90_0_74, all_90_1_75, all_90_2_76 yields:
% 27.39/7.63  | (301) relation_composition(all_0_7_7, all_0_10_10) = all_90_2_76 & relation_dom(all_90_2_76) = all_90_1_75 & relation_dom(all_0_7_7) = all_90_0_74 & ( ~ in(all_70_0_67, all_90_0_74) |  ~ in(all_0_11_11, all_25_0_22) | in(all_70_0_67, all_90_1_75)) & ( ~ in(all_70_0_67, all_90_1_75) | (in(all_70_0_67, all_90_0_74) & in(all_0_11_11, all_25_0_22)))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (301) yields:
% 27.39/7.63  | (302) relation_composition(all_0_7_7, all_0_10_10) = all_90_2_76
% 27.39/7.63  | (303)  ~ in(all_70_0_67, all_90_0_74) |  ~ in(all_0_11_11, all_25_0_22) | in(all_70_0_67, all_90_1_75)
% 27.39/7.63  | (304)  ~ in(all_70_0_67, all_90_1_75) | (in(all_70_0_67, all_90_0_74) & in(all_0_11_11, all_25_0_22))
% 27.39/7.63  | (305) relation_dom(all_90_2_76) = all_90_1_75
% 27.39/7.63  | (306) relation_dom(all_0_7_7) = all_90_0_74
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (282) with all_92_0_77, all_92_1_78, all_92_2_79 yields:
% 27.39/7.63  | (307) relation_composition(all_0_7_7, all_0_7_7) = all_92_2_79 & relation_dom(all_92_2_79) = all_92_1_78 & relation_dom(all_0_7_7) = all_92_0_77 & ( ~ in(all_70_0_67, all_92_0_77) |  ~ in(all_0_11_11, all_23_3_21) | in(all_70_0_67, all_92_1_78)) & ( ~ in(all_70_0_67, all_92_1_78) | (in(all_70_0_67, all_92_0_77) & in(all_0_11_11, all_23_3_21)))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (307) yields:
% 27.39/7.63  | (308) relation_dom(all_0_7_7) = all_92_0_77
% 27.39/7.63  | (309) relation_dom(all_92_2_79) = all_92_1_78
% 27.39/7.63  | (310)  ~ in(all_70_0_67, all_92_0_77) |  ~ in(all_0_11_11, all_23_3_21) | in(all_70_0_67, all_92_1_78)
% 27.39/7.63  | (311) relation_composition(all_0_7_7, all_0_7_7) = all_92_2_79
% 27.39/7.63  | (312)  ~ in(all_70_0_67, all_92_1_78) | (in(all_70_0_67, all_92_0_77) & in(all_0_11_11, all_23_3_21))
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (265) with all_94_0_80, all_94_1_81, all_94_2_82, all_94_3_83 yields:
% 27.39/7.63  | (313) relation_dom(all_43_2_36) = all_94_3_83 & apply(all_43_2_36, all_5_0_14) = all_94_2_82 & apply(all_0_7_7, all_94_1_81) = all_94_0_80 & apply(all_0_8_8, all_5_0_14) = all_94_1_81 & (all_94_0_80 = all_94_2_82 |  ~ in(all_5_0_14, all_94_3_83))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (313) yields:
% 27.39/7.63  | (314) apply(all_0_8_8, all_5_0_14) = all_94_1_81
% 27.39/7.63  | (315) all_94_0_80 = all_94_2_82 |  ~ in(all_5_0_14, all_94_3_83)
% 27.39/7.63  | (316) apply(all_43_2_36, all_5_0_14) = all_94_2_82
% 27.39/7.63  | (317) relation_dom(all_43_2_36) = all_94_3_83
% 27.39/7.63  | (318) apply(all_0_7_7, all_94_1_81) = all_94_0_80
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (262) with all_96_0_84, all_96_1_85, all_96_2_86 yields:
% 27.39/7.63  | (319) relation_dom(all_43_2_36) = all_96_2_86 & relation_dom(all_0_8_8) = all_96_1_85 & apply(all_0_8_8, all_11_0_17) = all_96_0_84 & ( ~ in(all_96_0_84, all_23_3_21) |  ~ in(all_11_0_17, all_96_1_85) | in(all_11_0_17, all_96_2_86)) & ( ~ in(all_11_0_17, all_96_2_86) | (in(all_96_0_84, all_23_3_21) & in(all_11_0_17, all_96_1_85)))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (319) yields:
% 27.39/7.63  | (320)  ~ in(all_96_0_84, all_23_3_21) |  ~ in(all_11_0_17, all_96_1_85) | in(all_11_0_17, all_96_2_86)
% 27.39/7.63  | (321) apply(all_0_8_8, all_11_0_17) = all_96_0_84
% 27.39/7.63  | (322) relation_dom(all_43_2_36) = all_96_2_86
% 27.39/7.63  | (323)  ~ in(all_11_0_17, all_96_2_86) | (in(all_96_0_84, all_23_3_21) & in(all_11_0_17, all_96_1_85))
% 27.39/7.63  | (324) relation_dom(all_0_8_8) = all_96_1_85
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (254) with all_98_0_87, all_98_1_88, all_98_2_89 yields:
% 27.39/7.63  | (325) relation_dom(all_45_2_39) = all_98_2_89 & relation_dom(all_0_7_7) = all_98_1_88 & apply(all_0_7_7, all_11_0_17) = all_98_0_87 & ( ~ in(all_98_0_87, all_23_3_21) |  ~ in(all_11_0_17, all_98_1_88) | in(all_11_0_17, all_98_2_89)) & ( ~ in(all_11_0_17, all_98_2_89) | (in(all_98_0_87, all_23_3_21) & in(all_11_0_17, all_98_1_88)))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (325) yields:
% 27.39/7.63  | (326) relation_dom(all_45_2_39) = all_98_2_89
% 27.39/7.63  | (327) apply(all_0_7_7, all_11_0_17) = all_98_0_87
% 27.39/7.63  | (328)  ~ in(all_11_0_17, all_98_2_89) | (in(all_98_0_87, all_23_3_21) & in(all_11_0_17, all_98_1_88))
% 27.39/7.63  | (329) relation_dom(all_0_7_7) = all_98_1_88
% 27.39/7.63  | (330)  ~ in(all_98_0_87, all_23_3_21) |  ~ in(all_11_0_17, all_98_1_88) | in(all_11_0_17, all_98_2_89)
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (257) with all_100_0_90, all_100_1_91, all_100_2_92, all_100_3_93 yields:
% 27.39/7.63  | (331) relation_dom(all_45_2_39) = all_100_3_93 & apply(all_45_2_39, all_5_0_14) = all_100_2_92 & apply(all_0_7_7, all_100_1_91) = all_100_0_90 & apply(all_0_7_7, all_5_0_14) = all_100_1_91 & (all_100_0_90 = all_100_2_92 |  ~ in(all_5_0_14, all_100_3_93))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (331) yields:
% 27.39/7.63  | (332) apply(all_0_7_7, all_100_1_91) = all_100_0_90
% 27.39/7.63  | (333) relation_dom(all_45_2_39) = all_100_3_93
% 27.39/7.63  | (334) apply(all_0_7_7, all_5_0_14) = all_100_1_91
% 27.39/7.63  | (335) all_100_0_90 = all_100_2_92 |  ~ in(all_5_0_14, all_100_3_93)
% 27.39/7.63  | (336) apply(all_45_2_39, all_5_0_14) = all_100_2_92
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (259) with all_102_0_94, all_102_1_95, all_102_2_96, all_102_3_97 yields:
% 27.39/7.63  | (337) relation_dom(all_39_2_30) = all_102_3_97 & apply(all_39_2_30, all_5_0_14) = all_102_2_96 & apply(all_0_7_7, all_5_0_14) = all_102_1_95 & apply(all_0_10_10, all_102_1_95) = all_102_0_94 & (all_102_0_94 = all_102_2_96 |  ~ in(all_5_0_14, all_102_3_97))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (337) yields:
% 27.39/7.63  | (338) apply(all_0_7_7, all_5_0_14) = all_102_1_95
% 27.39/7.63  | (339) apply(all_39_2_30, all_5_0_14) = all_102_2_96
% 27.39/7.63  | (340) relation_dom(all_39_2_30) = all_102_3_97
% 27.39/7.63  | (341) apply(all_0_10_10, all_102_1_95) = all_102_0_94
% 27.39/7.63  | (342) all_102_0_94 = all_102_2_96 |  ~ in(all_5_0_14, all_102_3_97)
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (277) with all_104_0_98, all_104_1_99, all_104_2_100 yields:
% 27.39/7.63  | (343) relation_composition(all_0_7_7, all_0_8_8) = all_104_2_100 & relation_dom(all_104_2_100) = all_104_1_99 & apply(all_0_7_7, all_7_0_15) = all_104_0_98 & ( ~ in(all_104_0_98, all_43_0_34) |  ~ in(all_7_0_15, all_23_3_21) | in(all_7_0_15, all_104_1_99)) & ( ~ in(all_7_0_15, all_104_1_99) | (in(all_104_0_98, all_43_0_34) & in(all_7_0_15, all_23_3_21)))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (343) yields:
% 27.39/7.63  | (344) apply(all_0_7_7, all_7_0_15) = all_104_0_98
% 27.39/7.63  | (345)  ~ in(all_7_0_15, all_104_1_99) | (in(all_104_0_98, all_43_0_34) & in(all_7_0_15, all_23_3_21))
% 27.39/7.63  | (346)  ~ in(all_104_0_98, all_43_0_34) |  ~ in(all_7_0_15, all_23_3_21) | in(all_7_0_15, all_104_1_99)
% 27.39/7.63  | (347) relation_dom(all_104_2_100) = all_104_1_99
% 27.39/7.63  | (348) relation_composition(all_0_7_7, all_0_8_8) = all_104_2_100
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (276) with all_106_0_101, all_106_1_102, all_106_2_103 yields:
% 27.39/7.63  | (349) relation_composition(all_0_10_10, all_0_8_8) = all_106_2_103 & relation_dom(all_106_2_103) = all_106_1_102 & relation_dom(all_0_10_10) = all_106_0_101 & ( ~ in(all_23_0_18, all_43_0_34) |  ~ in(all_23_1_19, all_106_0_101) | in(all_23_1_19, all_106_1_102)) & ( ~ in(all_23_1_19, all_106_1_102) | (in(all_23_0_18, all_43_0_34) & in(all_23_1_19, all_106_0_101)))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (349) yields:
% 27.39/7.63  | (350) relation_dom(all_0_10_10) = all_106_0_101
% 27.39/7.63  | (351) relation_dom(all_106_2_103) = all_106_1_102
% 27.39/7.63  | (352)  ~ in(all_23_0_18, all_43_0_34) |  ~ in(all_23_1_19, all_106_0_101) | in(all_23_1_19, all_106_1_102)
% 27.39/7.63  | (353)  ~ in(all_23_1_19, all_106_1_102) | (in(all_23_0_18, all_43_0_34) & in(all_23_1_19, all_106_0_101))
% 27.39/7.63  | (354) relation_composition(all_0_10_10, all_0_8_8) = all_106_2_103
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (275) with all_108_0_104, all_108_1_105, all_108_2_106 yields:
% 27.39/7.63  | (355) relation_composition(all_0_8_8, all_0_8_8) = all_108_2_106 & relation_dom(all_108_2_106) = all_108_1_105 & relation_dom(all_0_8_8) = all_108_0_104 & ( ~ in(all_23_1_19, all_43_0_34) |  ~ in(all_5_0_14, all_108_0_104) | in(all_5_0_14, all_108_1_105)) & ( ~ in(all_5_0_14, all_108_1_105) | (in(all_23_1_19, all_43_0_34) & in(all_5_0_14, all_108_0_104)))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (355) yields:
% 27.39/7.63  | (356)  ~ in(all_23_1_19, all_43_0_34) |  ~ in(all_5_0_14, all_108_0_104) | in(all_5_0_14, all_108_1_105)
% 27.39/7.63  | (357)  ~ in(all_5_0_14, all_108_1_105) | (in(all_23_1_19, all_43_0_34) & in(all_5_0_14, all_108_0_104))
% 27.39/7.63  | (358) relation_dom(all_108_2_106) = all_108_1_105
% 27.39/7.63  | (359) relation_composition(all_0_8_8, all_0_8_8) = all_108_2_106
% 27.39/7.63  | (360) relation_dom(all_0_8_8) = all_108_0_104
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (274) with all_110_0_107, all_110_1_108, all_110_2_109 yields:
% 27.39/7.63  | (361) relation_composition(all_0_7_7, all_0_8_8) = all_110_2_109 & relation_dom(all_110_2_109) = all_110_1_108 & relation_dom(all_0_7_7) = all_110_0_107 & ( ~ in(all_23_2_20, all_43_0_34) |  ~ in(all_5_0_14, all_110_0_107) | in(all_5_0_14, all_110_1_108)) & ( ~ in(all_5_0_14, all_110_1_108) | (in(all_23_2_20, all_43_0_34) & in(all_5_0_14, all_110_0_107)))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (361) yields:
% 27.39/7.63  | (362)  ~ in(all_23_2_20, all_43_0_34) |  ~ in(all_5_0_14, all_110_0_107) | in(all_5_0_14, all_110_1_108)
% 27.39/7.63  | (363) relation_dom(all_0_7_7) = all_110_0_107
% 27.39/7.63  | (364)  ~ in(all_5_0_14, all_110_1_108) | (in(all_23_2_20, all_43_0_34) & in(all_5_0_14, all_110_0_107))
% 27.39/7.63  | (365) relation_dom(all_110_2_109) = all_110_1_108
% 27.39/7.63  | (366) relation_composition(all_0_7_7, all_0_8_8) = all_110_2_109
% 27.39/7.63  |
% 27.39/7.63  | Instantiating (293) with all_112_0_110, all_112_1_111, all_112_2_112 yields:
% 27.39/7.63  | (367) relation_composition(all_0_10_10, all_0_10_10) = all_112_2_112 & relation_dom(all_112_2_112) = all_112_1_111 & relation_dom(all_0_10_10) = all_112_0_110 & ( ~ in(all_37_0_25, all_25_0_22) |  ~ in(all_7_0_15, all_112_0_110) | in(all_7_0_15, all_112_1_111)) & ( ~ in(all_7_0_15, all_112_1_111) | (in(all_37_0_25, all_25_0_22) & in(all_7_0_15, all_112_0_110)))
% 27.39/7.63  |
% 27.39/7.63  | Applying alpha-rule on (367) yields:
% 27.39/7.63  | (368) relation_dom(all_0_10_10) = all_112_0_110
% 27.39/7.63  | (369)  ~ in(all_37_0_25, all_25_0_22) |  ~ in(all_7_0_15, all_112_0_110) | in(all_7_0_15, all_112_1_111)
% 27.39/7.64  | (370) relation_composition(all_0_10_10, all_0_10_10) = all_112_2_112
% 27.39/7.64  | (371) relation_dom(all_112_2_112) = all_112_1_111
% 27.39/7.64  | (372)  ~ in(all_7_0_15, all_112_1_111) | (in(all_37_0_25, all_25_0_22) & in(all_7_0_15, all_112_0_110))
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (270) with all_114_0_113, all_114_1_114, all_114_2_115 yields:
% 27.39/7.64  | (373) relation_dom(all_57_2_50) = all_114_2_115 & relation_dom(all_0_10_10) = all_114_1_114 & apply(all_0_10_10, all_11_0_17) = all_114_0_113 & ( ~ in(all_114_0_113, all_25_0_22) |  ~ in(all_11_0_17, all_114_1_114) | in(all_11_0_17, all_114_2_115)) & ( ~ in(all_11_0_17, all_114_2_115) | (in(all_114_0_113, all_25_0_22) & in(all_11_0_17, all_114_1_114)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (373) yields:
% 27.39/7.64  | (374)  ~ in(all_114_0_113, all_25_0_22) |  ~ in(all_11_0_17, all_114_1_114) | in(all_11_0_17, all_114_2_115)
% 27.39/7.64  | (375) relation_dom(all_57_2_50) = all_114_2_115
% 27.39/7.64  | (376) relation_dom(all_0_10_10) = all_114_1_114
% 27.39/7.64  | (377) apply(all_0_10_10, all_11_0_17) = all_114_0_113
% 27.39/7.64  | (378)  ~ in(all_11_0_17, all_114_2_115) | (in(all_114_0_113, all_25_0_22) & in(all_11_0_17, all_114_1_114))
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (258) with all_116_0_116, all_116_1_117, all_116_2_118 yields:
% 27.39/7.64  | (379) relation_dom(all_39_2_30) = all_116_2_118 & relation_dom(all_0_7_7) = all_116_1_117 & apply(all_0_7_7, all_11_0_17) = all_116_0_116 & ( ~ in(all_116_0_116, all_25_0_22) |  ~ in(all_11_0_17, all_116_1_117) | in(all_11_0_17, all_116_2_118)) & ( ~ in(all_11_0_17, all_116_2_118) | (in(all_116_0_116, all_25_0_22) & in(all_11_0_17, all_116_1_117)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (379) yields:
% 27.39/7.64  | (380)  ~ in(all_11_0_17, all_116_2_118) | (in(all_116_0_116, all_25_0_22) & in(all_11_0_17, all_116_1_117))
% 27.39/7.64  | (381) apply(all_0_7_7, all_11_0_17) = all_116_0_116
% 27.39/7.64  | (382) relation_dom(all_0_7_7) = all_116_1_117
% 27.39/7.64  | (383)  ~ in(all_116_0_116, all_25_0_22) |  ~ in(all_11_0_17, all_116_1_117) | in(all_11_0_17, all_116_2_118)
% 27.39/7.64  | (384) relation_dom(all_39_2_30) = all_116_2_118
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (292) with all_118_0_119, all_118_1_120, all_118_2_121 yields:
% 27.39/7.64  | (385) relation_composition(all_0_10_10, all_0_7_7) = all_118_2_121 & relation_dom(all_118_2_121) = all_118_1_120 & relation_dom(all_0_10_10) = all_118_0_119 & ( ~ in(all_37_0_25, all_23_3_21) |  ~ in(all_7_0_15, all_118_0_119) | in(all_7_0_15, all_118_1_120)) & ( ~ in(all_7_0_15, all_118_1_120) | (in(all_37_0_25, all_23_3_21) & in(all_7_0_15, all_118_0_119)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (385) yields:
% 27.39/7.64  | (386) relation_composition(all_0_10_10, all_0_7_7) = all_118_2_121
% 27.39/7.64  | (387)  ~ in(all_37_0_25, all_23_3_21) |  ~ in(all_7_0_15, all_118_0_119) | in(all_7_0_15, all_118_1_120)
% 27.39/7.64  | (388) relation_dom(all_118_2_121) = all_118_1_120
% 27.39/7.64  | (389)  ~ in(all_7_0_15, all_118_1_120) | (in(all_37_0_25, all_23_3_21) & in(all_7_0_15, all_118_0_119))
% 27.39/7.64  | (390) relation_dom(all_0_10_10) = all_118_0_119
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (273) with all_120_0_122, all_120_1_123, all_120_2_124, all_120_3_125 yields:
% 27.39/7.64  | (391) relation_dom(all_57_2_50) = all_120_3_125 & apply(all_57_2_50, all_5_0_14) = all_120_2_124 & apply(all_0_10_10, all_120_1_123) = all_120_0_122 & apply(all_0_10_10, all_5_0_14) = all_120_1_123 & (all_120_0_122 = all_120_2_124 |  ~ in(all_5_0_14, all_120_3_125))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (391) yields:
% 27.39/7.64  | (392) apply(all_57_2_50, all_5_0_14) = all_120_2_124
% 27.39/7.64  | (393) apply(all_0_10_10, all_5_0_14) = all_120_1_123
% 27.39/7.64  | (394) all_120_0_122 = all_120_2_124 |  ~ in(all_5_0_14, all_120_3_125)
% 27.39/7.64  | (395) apply(all_0_10_10, all_120_1_123) = all_120_0_122
% 27.39/7.64  | (396) relation_dom(all_57_2_50) = all_120_3_125
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (280) with all_122_0_126, all_122_1_127, all_122_2_128 yields:
% 27.39/7.64  | (397) relation_composition(all_0_8_8, all_0_8_8) = all_122_2_128 & relation_dom(all_122_2_128) = all_122_1_127 & apply(all_0_8_8, all_7_0_15) = all_122_0_126 & ( ~ in(all_122_0_126, all_43_0_34) |  ~ in(all_7_0_15, all_43_0_34) | in(all_7_0_15, all_122_1_127)) & ( ~ in(all_7_0_15, all_122_1_127) | (in(all_122_0_126, all_43_0_34) & in(all_7_0_15, all_43_0_34)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (397) yields:
% 27.39/7.64  | (398)  ~ in(all_7_0_15, all_122_1_127) | (in(all_122_0_126, all_43_0_34) & in(all_7_0_15, all_43_0_34))
% 27.39/7.64  | (399) apply(all_0_8_8, all_7_0_15) = all_122_0_126
% 27.39/7.64  | (400) relation_dom(all_122_2_128) = all_122_1_127
% 27.39/7.64  | (401)  ~ in(all_122_0_126, all_43_0_34) |  ~ in(all_7_0_15, all_43_0_34) | in(all_7_0_15, all_122_1_127)
% 27.39/7.64  | (402) relation_composition(all_0_8_8, all_0_8_8) = all_122_2_128
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (279) with all_124_0_129, all_124_1_130, all_124_2_131 yields:
% 27.39/7.64  | (403) relation_composition(all_0_8_8, all_0_10_10) = all_124_2_131 & relation_dom(all_124_2_131) = all_124_1_130 & apply(all_0_8_8, all_7_0_15) = all_124_0_129 & ( ~ in(all_124_0_129, all_25_0_22) |  ~ in(all_7_0_15, all_43_0_34) | in(all_7_0_15, all_124_1_130)) & ( ~ in(all_7_0_15, all_124_1_130) | (in(all_124_0_129, all_25_0_22) & in(all_7_0_15, all_43_0_34)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (403) yields:
% 27.39/7.64  | (404) relation_dom(all_124_2_131) = all_124_1_130
% 27.39/7.64  | (405) relation_composition(all_0_8_8, all_0_10_10) = all_124_2_131
% 27.39/7.64  | (406)  ~ in(all_7_0_15, all_124_1_130) | (in(all_124_0_129, all_25_0_22) & in(all_7_0_15, all_43_0_34))
% 27.39/7.64  | (407)  ~ in(all_124_0_129, all_25_0_22) |  ~ in(all_7_0_15, all_43_0_34) | in(all_7_0_15, all_124_1_130)
% 27.39/7.64  | (408) apply(all_0_8_8, all_7_0_15) = all_124_0_129
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (278) with all_126_0_132, all_126_1_133, all_126_2_134 yields:
% 27.39/7.64  | (409) relation_composition(all_0_8_8, all_0_7_7) = all_126_2_134 & relation_dom(all_126_2_134) = all_126_1_133 & apply(all_0_8_8, all_7_0_15) = all_126_0_132 & ( ~ in(all_126_0_132, all_23_3_21) |  ~ in(all_7_0_15, all_43_0_34) | in(all_7_0_15, all_126_1_133)) & ( ~ in(all_7_0_15, all_126_1_133) | (in(all_126_0_132, all_23_3_21) & in(all_7_0_15, all_43_0_34)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (409) yields:
% 27.39/7.64  | (410) relation_composition(all_0_8_8, all_0_7_7) = all_126_2_134
% 27.39/7.64  | (411) apply(all_0_8_8, all_7_0_15) = all_126_0_132
% 27.39/7.64  | (412)  ~ in(all_7_0_15, all_126_1_133) | (in(all_126_0_132, all_23_3_21) & in(all_7_0_15, all_43_0_34))
% 27.39/7.64  | (413) relation_dom(all_126_2_134) = all_126_1_133
% 27.39/7.64  | (414)  ~ in(all_126_0_132, all_23_3_21) |  ~ in(all_7_0_15, all_43_0_34) | in(all_7_0_15, all_126_1_133)
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (281) with all_130_0_138, all_130_1_139, all_130_2_140 yields:
% 27.39/7.64  | (415) relation_dom(all_0_7_7) = all_130_2_140 & apply(all_0_8_8, all_70_0_67) = all_130_1_139 & apply(all_0_10_10, all_130_1_139) = all_130_0_138 & (all_130_0_138 = all_0_11_11 |  ~ in(all_70_0_67, all_130_2_140))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (415) yields:
% 27.39/7.64  | (416) relation_dom(all_0_7_7) = all_130_2_140
% 27.39/7.64  | (417) apply(all_0_8_8, all_70_0_67) = all_130_1_139
% 27.39/7.64  | (418) apply(all_0_10_10, all_130_1_139) = all_130_0_138
% 27.39/7.64  | (419) all_130_0_138 = all_0_11_11 |  ~ in(all_70_0_67, all_130_2_140)
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (266) with all_135_0_142, all_135_1_143, all_135_2_144 yields:
% 27.39/7.64  | (420) relation_dom(all_37_2_27) = all_135_2_144 & relation_dom(all_0_10_10) = all_135_1_143 & apply(all_0_10_10, all_11_0_17) = all_135_0_142 & ( ~ in(all_135_0_142, all_23_3_21) |  ~ in(all_11_0_17, all_135_1_143) | in(all_11_0_17, all_135_2_144)) & ( ~ in(all_11_0_17, all_135_2_144) | (in(all_135_0_142, all_23_3_21) & in(all_11_0_17, all_135_1_143)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (420) yields:
% 27.39/7.64  | (421) relation_dom(all_37_2_27) = all_135_2_144
% 27.39/7.64  | (422)  ~ in(all_135_0_142, all_23_3_21) |  ~ in(all_11_0_17, all_135_1_143) | in(all_11_0_17, all_135_2_144)
% 27.39/7.64  | (423) apply(all_0_10_10, all_11_0_17) = all_135_0_142
% 27.39/7.64  | (424) relation_dom(all_0_10_10) = all_135_1_143
% 27.39/7.64  | (425)  ~ in(all_11_0_17, all_135_2_144) | (in(all_135_0_142, all_23_3_21) & in(all_11_0_17, all_135_1_143))
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (294) with all_137_0_145, all_137_1_146, all_137_2_147 yields:
% 27.39/7.64  | (426) relation_composition(all_0_10_10, all_0_8_8) = all_137_2_147 & relation_dom(all_137_2_147) = all_137_1_146 & relation_dom(all_0_10_10) = all_137_0_145 & ( ~ in(all_37_0_25, all_43_0_34) |  ~ in(all_7_0_15, all_137_0_145) | in(all_7_0_15, all_137_1_146)) & ( ~ in(all_7_0_15, all_137_1_146) | (in(all_37_0_25, all_43_0_34) & in(all_7_0_15, all_137_0_145)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (426) yields:
% 27.39/7.64  | (427) relation_composition(all_0_10_10, all_0_8_8) = all_137_2_147
% 27.39/7.64  | (428)  ~ in(all_7_0_15, all_137_1_146) | (in(all_37_0_25, all_43_0_34) & in(all_7_0_15, all_137_0_145))
% 27.39/7.64  | (429) relation_dom(all_137_2_147) = all_137_1_146
% 27.39/7.64  | (430)  ~ in(all_37_0_25, all_43_0_34) |  ~ in(all_7_0_15, all_137_0_145) | in(all_7_0_15, all_137_1_146)
% 27.39/7.64  | (431) relation_dom(all_0_10_10) = all_137_0_145
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (291) with all_139_0_148, all_139_1_149, all_139_2_150 yields:
% 27.39/7.64  | (432) relation_composition(all_0_8_8, all_0_8_8) = all_139_2_150 & relation_dom(all_139_2_150) = all_139_1_149 & relation_dom(all_0_8_8) = all_139_0_148 & ( ~ in(all_59_0_51, all_43_0_34) |  ~ in(all_11_0_17, all_139_0_148) | in(all_11_0_17, all_139_1_149)) & ( ~ in(all_11_0_17, all_139_1_149) | (in(all_59_0_51, all_43_0_34) & in(all_11_0_17, all_139_0_148)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (432) yields:
% 27.39/7.64  | (433)  ~ in(all_59_0_51, all_43_0_34) |  ~ in(all_11_0_17, all_139_0_148) | in(all_11_0_17, all_139_1_149)
% 27.39/7.64  | (434) relation_dom(all_0_8_8) = all_139_0_148
% 27.39/7.64  | (435) relation_dom(all_139_2_150) = all_139_1_149
% 27.39/7.64  | (436)  ~ in(all_11_0_17, all_139_1_149) | (in(all_59_0_51, all_43_0_34) & in(all_11_0_17, all_139_0_148))
% 27.39/7.64  | (437) relation_composition(all_0_8_8, all_0_8_8) = all_139_2_150
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (290) with all_141_0_151, all_141_1_152, all_141_2_153 yields:
% 27.39/7.64  | (438) relation_composition(all_0_8_8, all_0_10_10) = all_141_2_153 & relation_dom(all_141_2_153) = all_141_1_152 & relation_dom(all_0_8_8) = all_141_0_151 & ( ~ in(all_59_0_51, all_25_0_22) |  ~ in(all_11_0_17, all_141_0_151) | in(all_11_0_17, all_141_1_152)) & ( ~ in(all_11_0_17, all_141_1_152) | (in(all_59_0_51, all_25_0_22) & in(all_11_0_17, all_141_0_151)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (438) yields:
% 27.39/7.64  | (439)  ~ in(all_59_0_51, all_25_0_22) |  ~ in(all_11_0_17, all_141_0_151) | in(all_11_0_17, all_141_1_152)
% 27.39/7.64  | (440)  ~ in(all_11_0_17, all_141_1_152) | (in(all_59_0_51, all_25_0_22) & in(all_11_0_17, all_141_0_151))
% 27.39/7.64  | (441) relation_dom(all_141_2_153) = all_141_1_152
% 27.39/7.64  | (442) relation_dom(all_0_8_8) = all_141_0_151
% 27.39/7.64  | (443) relation_composition(all_0_8_8, all_0_10_10) = all_141_2_153
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (287) with all_143_0_154, all_143_1_155, all_143_2_156 yields:
% 27.39/7.64  | (444) relation_composition(all_0_7_7, all_0_10_10) = all_143_2_156 & relation_dom(all_143_2_156) = all_143_1_155 & relation_dom(all_0_7_7) = all_143_0_154 & ( ~ in(all_39_0_28, all_25_0_22) |  ~ in(all_7_0_15, all_143_0_154) | in(all_7_0_15, all_143_1_155)) & ( ~ in(all_7_0_15, all_143_1_155) | (in(all_39_0_28, all_25_0_22) & in(all_7_0_15, all_143_0_154)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (444) yields:
% 27.39/7.64  | (445) relation_dom(all_0_7_7) = all_143_0_154
% 27.39/7.64  | (446) relation_composition(all_0_7_7, all_0_10_10) = all_143_2_156
% 27.39/7.64  | (447)  ~ in(all_7_0_15, all_143_1_155) | (in(all_39_0_28, all_25_0_22) & in(all_7_0_15, all_143_0_154))
% 27.39/7.64  | (448)  ~ in(all_39_0_28, all_25_0_22) |  ~ in(all_7_0_15, all_143_0_154) | in(all_7_0_15, all_143_1_155)
% 27.39/7.64  | (449) relation_dom(all_143_2_156) = all_143_1_155
% 27.39/7.64  |
% 27.39/7.64  | Instantiating (286) with all_145_0_157, all_145_1_158, all_145_2_159 yields:
% 27.39/7.64  | (450) relation_composition(all_0_7_7, all_0_7_7) = all_145_2_159 & relation_dom(all_145_2_159) = all_145_1_158 & relation_dom(all_0_7_7) = all_145_0_157 & ( ~ in(all_39_0_28, all_23_3_21) |  ~ in(all_7_0_15, all_145_0_157) | in(all_7_0_15, all_145_1_158)) & ( ~ in(all_7_0_15, all_145_1_158) | (in(all_39_0_28, all_23_3_21) & in(all_7_0_15, all_145_0_157)))
% 27.39/7.64  |
% 27.39/7.64  | Applying alpha-rule on (450) yields:
% 27.39/7.64  | (451)  ~ in(all_7_0_15, all_145_1_158) | (in(all_39_0_28, all_23_3_21) & in(all_7_0_15, all_145_0_157))
% 27.39/7.64  | (452)  ~ in(all_39_0_28, all_23_3_21) |  ~ in(all_7_0_15, all_145_0_157) | in(all_7_0_15, all_145_1_158)
% 27.39/7.65  | (453) relation_dom(all_0_7_7) = all_145_0_157
% 27.39/7.65  | (454) relation_composition(all_0_7_7, all_0_7_7) = all_145_2_159
% 27.39/7.65  | (455) relation_dom(all_145_2_159) = all_145_1_158
% 27.39/7.65  |
% 27.39/7.65  | Instantiating (289) with all_147_0_160, all_147_1_161, all_147_2_162 yields:
% 27.39/7.65  | (456) relation_composition(all_0_8_8, all_0_7_7) = all_147_2_162 & relation_dom(all_147_2_162) = all_147_1_161 & relation_dom(all_0_8_8) = all_147_0_160 & ( ~ in(all_59_0_51, all_23_3_21) |  ~ in(all_11_0_17, all_147_0_160) | in(all_11_0_17, all_147_1_161)) & ( ~ in(all_11_0_17, all_147_1_161) | (in(all_59_0_51, all_23_3_21) & in(all_11_0_17, all_147_0_160)))
% 27.39/7.65  |
% 27.39/7.65  | Applying alpha-rule on (456) yields:
% 27.39/7.65  | (457) relation_dom(all_147_2_162) = all_147_1_161
% 27.39/7.65  | (458) relation_dom(all_0_8_8) = all_147_0_160
% 27.39/7.65  | (459)  ~ in(all_11_0_17, all_147_1_161) | (in(all_59_0_51, all_23_3_21) & in(all_11_0_17, all_147_0_160))
% 27.39/7.65  | (460) relation_composition(all_0_8_8, all_0_7_7) = all_147_2_162
% 27.39/7.65  | (461)  ~ in(all_59_0_51, all_23_3_21) |  ~ in(all_11_0_17, all_147_0_160) | in(all_11_0_17, all_147_1_161)
% 27.39/7.65  |
% 27.39/7.65  | Instantiating (288) with all_149_0_163, all_149_1_164, all_149_2_165 yields:
% 27.39/7.65  | (462) relation_composition(all_0_7_7, all_0_8_8) = all_149_2_165 & relation_dom(all_149_2_165) = all_149_1_164 & relation_dom(all_0_7_7) = all_149_0_163 & ( ~ in(all_39_0_28, all_43_0_34) |  ~ in(all_7_0_15, all_149_0_163) | in(all_7_0_15, all_149_1_164)) & ( ~ in(all_7_0_15, all_149_1_164) | (in(all_39_0_28, all_43_0_34) & in(all_7_0_15, all_149_0_163)))
% 27.39/7.65  |
% 27.39/7.65  | Applying alpha-rule on (462) yields:
% 27.39/7.65  | (463)  ~ in(all_39_0_28, all_43_0_34) |  ~ in(all_7_0_15, all_149_0_163) | in(all_7_0_15, all_149_1_164)
% 27.39/7.65  | (464) relation_dom(all_149_2_165) = all_149_1_164
% 27.39/7.65  | (465)  ~ in(all_7_0_15, all_149_1_164) | (in(all_39_0_28, all_43_0_34) & in(all_7_0_15, all_149_0_163))
% 27.39/7.65  | (466) relation_composition(all_0_7_7, all_0_8_8) = all_149_2_165
% 27.39/7.65  | (467) relation_dom(all_0_7_7) = all_149_0_163
% 27.39/7.65  |
% 27.39/7.65  | Instantiating (285) with all_151_0_166, all_151_1_167, all_151_2_168 yields:
% 27.39/7.65  | (468) relation_dom(all_0_7_7) = all_151_2_168 & apply(all_0_8_8, all_7_0_15) = all_151_1_167 & apply(all_0_10_10, all_151_1_167) = all_151_0_166 & (all_151_0_166 = all_39_0_28 |  ~ in(all_7_0_15, all_151_2_168))
% 27.39/7.65  |
% 27.39/7.65  | Applying alpha-rule on (468) yields:
% 27.39/7.65  | (469) relation_dom(all_0_7_7) = all_151_2_168
% 27.39/7.65  | (470) apply(all_0_8_8, all_7_0_15) = all_151_1_167
% 27.39/7.65  | (471) apply(all_0_10_10, all_151_1_167) = all_151_0_166
% 27.39/7.65  | (472) all_151_0_166 = all_39_0_28 |  ~ in(all_7_0_15, all_151_2_168)
% 27.39/7.65  |
% 27.39/7.65  | Instantiating (284) with all_153_0_169, all_153_1_170, all_153_2_171 yields:
% 27.39/7.65  | (473) relation_composition(all_0_7_7, all_0_8_8) = all_153_2_171 & relation_dom(all_153_2_171) = all_153_1_170 & relation_dom(all_0_7_7) = all_153_0_169 & ( ~ in(all_70_0_67, all_153_0_169) |  ~ in(all_0_11_11, all_43_0_34) | in(all_70_0_67, all_153_1_170)) & ( ~ in(all_70_0_67, all_153_1_170) | (in(all_70_0_67, all_153_0_169) & in(all_0_11_11, all_43_0_34)))
% 27.39/7.65  |
% 27.39/7.65  | Applying alpha-rule on (473) yields:
% 27.39/7.65  | (474)  ~ in(all_70_0_67, all_153_0_169) |  ~ in(all_0_11_11, all_43_0_34) | in(all_70_0_67, all_153_1_170)
% 27.39/7.65  | (475)  ~ in(all_70_0_67, all_153_1_170) | (in(all_70_0_67, all_153_0_169) & in(all_0_11_11, all_43_0_34))
% 27.39/7.65  | (476) relation_composition(all_0_7_7, all_0_8_8) = all_153_2_171
% 27.39/7.65  | (477) relation_dom(all_153_2_171) = all_153_1_170
% 27.39/7.65  | (478) relation_dom(all_0_7_7) = all_153_0_169
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_7_7, all_0_7_7, all_145_2_159, all_45_2_39 and discharging atoms relation_composition(all_0_7_7, all_0_7_7) = all_145_2_159, relation_composition(all_0_7_7, all_0_7_7) = all_45_2_39, yields:
% 27.39/7.65  | (479) all_145_2_159 = all_45_2_39
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_7_7, all_0_7_7, all_92_2_79, all_145_2_159 and discharging atoms relation_composition(all_0_7_7, all_0_7_7) = all_145_2_159, relation_composition(all_0_7_7, all_0_7_7) = all_92_2_79, yields:
% 27.39/7.65  | (480) all_145_2_159 = all_92_2_79
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_7_7, all_0_8_8, all_149_2_165, all_153_2_171 and discharging atoms relation_composition(all_0_7_7, all_0_8_8) = all_153_2_171, relation_composition(all_0_7_7, all_0_8_8) = all_149_2_165, yields:
% 27.39/7.65  | (481) all_153_2_171 = all_149_2_165
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_7_7, all_0_8_8, all_110_2_109, all_149_2_165 and discharging atoms relation_composition(all_0_7_7, all_0_8_8) = all_149_2_165, relation_composition(all_0_7_7, all_0_8_8) = all_110_2_109, yields:
% 27.39/7.65  | (482) all_149_2_165 = all_110_2_109
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_7_7, all_0_8_8, all_104_2_100, all_153_2_171 and discharging atoms relation_composition(all_0_7_7, all_0_8_8) = all_153_2_171, relation_composition(all_0_7_7, all_0_8_8) = all_104_2_100, yields:
% 27.39/7.65  | (483) all_153_2_171 = all_104_2_100
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_7_7, all_0_10_10, all_143_2_156, all_39_2_30 and discharging atoms relation_composition(all_0_7_7, all_0_10_10) = all_143_2_156, relation_composition(all_0_7_7, all_0_10_10) = all_39_2_30, yields:
% 27.39/7.65  | (484) all_143_2_156 = all_39_2_30
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_7_7, all_0_10_10, all_90_2_76, all_143_2_156 and discharging atoms relation_composition(all_0_7_7, all_0_10_10) = all_143_2_156, relation_composition(all_0_7_7, all_0_10_10) = all_90_2_76, yields:
% 27.39/7.65  | (485) all_143_2_156 = all_90_2_76
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_8_8, all_0_7_7, all_147_2_162, all_43_2_36 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_147_2_162, relation_composition(all_0_8_8, all_0_7_7) = all_43_2_36, yields:
% 27.39/7.65  | (486) all_147_2_162 = all_43_2_36
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_8_8, all_0_7_7, all_126_2_134, all_147_2_162 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_147_2_162, relation_composition(all_0_8_8, all_0_7_7) = all_126_2_134, yields:
% 27.39/7.65  | (487) all_147_2_162 = all_126_2_134
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_8_8, all_0_10_10, all_141_2_153, all_0_7_7 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_141_2_153, relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, yields:
% 27.39/7.65  | (488) all_141_2_153 = all_0_7_7
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_8_8, all_0_10_10, all_124_2_131, all_141_2_153 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_141_2_153, relation_composition(all_0_8_8, all_0_10_10) = all_124_2_131, yields:
% 27.39/7.65  | (489) all_141_2_153 = all_124_2_131
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_10_10, all_0_7_7, all_118_2_121, all_37_2_27 and discharging atoms relation_composition(all_0_10_10, all_0_7_7) = all_118_2_121, relation_composition(all_0_10_10, all_0_7_7) = all_37_2_27, yields:
% 27.39/7.65  | (490) all_118_2_121 = all_37_2_27
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (43) with all_0_10_10, all_0_10_10, all_112_2_112, all_57_2_50 and discharging atoms relation_composition(all_0_10_10, all_0_10_10) = all_112_2_112, relation_composition(all_0_10_10, all_0_10_10) = all_57_2_50, yields:
% 27.39/7.65  | (491) all_112_2_112 = all_57_2_50
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_57_2_50, all_120_3_125, all_57_1_49 and discharging atoms relation_dom(all_57_2_50) = all_120_3_125, relation_dom(all_57_2_50) = all_57_1_49, yields:
% 27.39/7.65  | (492) all_120_3_125 = all_57_1_49
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_57_2_50, all_114_2_115, all_120_3_125 and discharging atoms relation_dom(all_57_2_50) = all_120_3_125, relation_dom(all_57_2_50) = all_114_2_115, yields:
% 27.39/7.65  | (493) all_120_3_125 = all_114_2_115
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_45_2_39, all_100_3_93, all_45_1_38 and discharging atoms relation_dom(all_45_2_39) = all_100_3_93, relation_dom(all_45_2_39) = all_45_1_38, yields:
% 27.39/7.65  | (494) all_100_3_93 = all_45_1_38
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_45_2_39, all_98_2_89, all_100_3_93 and discharging atoms relation_dom(all_45_2_39) = all_100_3_93, relation_dom(all_45_2_39) = all_98_2_89, yields:
% 27.39/7.65  | (495) all_100_3_93 = all_98_2_89
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_43_2_36, all_96_2_86, all_43_1_35 and discharging atoms relation_dom(all_43_2_36) = all_96_2_86, relation_dom(all_43_2_36) = all_43_1_35, yields:
% 27.39/7.65  | (496) all_96_2_86 = all_43_1_35
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_43_2_36, all_94_3_83, all_96_2_86 and discharging atoms relation_dom(all_43_2_36) = all_96_2_86, relation_dom(all_43_2_36) = all_94_3_83, yields:
% 27.39/7.65  | (497) all_96_2_86 = all_94_3_83
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_39_2_30, all_116_2_118, all_39_1_29 and discharging atoms relation_dom(all_39_2_30) = all_116_2_118, relation_dom(all_39_2_30) = all_39_1_29, yields:
% 27.39/7.65  | (498) all_116_2_118 = all_39_1_29
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_39_2_30, all_102_3_97, all_116_2_118 and discharging atoms relation_dom(all_39_2_30) = all_116_2_118, relation_dom(all_39_2_30) = all_102_3_97, yields:
% 27.39/7.65  | (499) all_116_2_118 = all_102_3_97
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_37_2_27, all_135_2_144, all_37_1_26 and discharging atoms relation_dom(all_37_2_27) = all_135_2_144, relation_dom(all_37_2_27) = all_37_1_26, yields:
% 27.39/7.65  | (500) all_135_2_144 = all_37_1_26
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_37_2_27, all_88_3_73, all_135_2_144 and discharging atoms relation_dom(all_37_2_27) = all_135_2_144, relation_dom(all_37_2_27) = all_88_3_73, yields:
% 27.39/7.65  | (501) all_135_2_144 = all_88_3_73
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_149_0_163, all_151_2_168 and discharging atoms relation_dom(all_0_7_7) = all_151_2_168, relation_dom(all_0_7_7) = all_149_0_163, yields:
% 27.39/7.65  | (502) all_151_2_168 = all_149_0_163
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_145_0_157, all_149_0_163 and discharging atoms relation_dom(all_0_7_7) = all_149_0_163, relation_dom(all_0_7_7) = all_145_0_157, yields:
% 27.39/7.65  | (503) all_149_0_163 = all_145_0_157
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_143_0_154, all_145_0_157 and discharging atoms relation_dom(all_0_7_7) = all_145_0_157, relation_dom(all_0_7_7) = all_143_0_154, yields:
% 27.39/7.65  | (504) all_145_0_157 = all_143_0_154
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_130_2_140, all_143_0_154 and discharging atoms relation_dom(all_0_7_7) = all_143_0_154, relation_dom(all_0_7_7) = all_130_2_140, yields:
% 27.39/7.65  | (505) all_143_0_154 = all_130_2_140
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_116_1_117, all_130_2_140 and discharging atoms relation_dom(all_0_7_7) = all_130_2_140, relation_dom(all_0_7_7) = all_116_1_117, yields:
% 27.39/7.65  | (506) all_130_2_140 = all_116_1_117
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_110_0_107, all_116_1_117 and discharging atoms relation_dom(all_0_7_7) = all_116_1_117, relation_dom(all_0_7_7) = all_110_0_107, yields:
% 27.39/7.65  | (507) all_116_1_117 = all_110_0_107
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_98_1_88, all_23_3_21 and discharging atoms relation_dom(all_0_7_7) = all_98_1_88, relation_dom(all_0_7_7) = all_23_3_21, yields:
% 27.39/7.65  | (508) all_98_1_88 = all_23_3_21
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_98_1_88, all_153_0_169 and discharging atoms relation_dom(all_0_7_7) = all_153_0_169, relation_dom(all_0_7_7) = all_98_1_88, yields:
% 27.39/7.65  | (509) all_153_0_169 = all_98_1_88
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_98_1_88, all_116_1_117 and discharging atoms relation_dom(all_0_7_7) = all_116_1_117, relation_dom(all_0_7_7) = all_98_1_88, yields:
% 27.39/7.65  | (510) all_116_1_117 = all_98_1_88
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_92_0_77, all_153_0_169 and discharging atoms relation_dom(all_0_7_7) = all_153_0_169, relation_dom(all_0_7_7) = all_92_0_77, yields:
% 27.39/7.65  | (511) all_153_0_169 = all_92_0_77
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_7_7, all_90_0_74, all_151_2_168 and discharging atoms relation_dom(all_0_7_7) = all_151_2_168, relation_dom(all_0_7_7) = all_90_0_74, yields:
% 27.39/7.65  | (512) all_151_2_168 = all_90_0_74
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_8_8, all_141_0_151, all_147_0_160 and discharging atoms relation_dom(all_0_8_8) = all_147_0_160, relation_dom(all_0_8_8) = all_141_0_151, yields:
% 27.39/7.65  | (513) all_147_0_160 = all_141_0_151
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_8_8, all_139_0_148, all_141_0_151 and discharging atoms relation_dom(all_0_8_8) = all_141_0_151, relation_dom(all_0_8_8) = all_139_0_148, yields:
% 27.39/7.65  | (514) all_141_0_151 = all_139_0_148
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_8_8, all_108_0_104, all_43_0_34 and discharging atoms relation_dom(all_0_8_8) = all_108_0_104, relation_dom(all_0_8_8) = all_43_0_34, yields:
% 27.39/7.65  | (515) all_108_0_104 = all_43_0_34
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_8_8, all_108_0_104, all_139_0_148 and discharging atoms relation_dom(all_0_8_8) = all_139_0_148, relation_dom(all_0_8_8) = all_108_0_104, yields:
% 27.39/7.65  | (516) all_139_0_148 = all_108_0_104
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_8_8, all_96_1_85, all_147_0_160 and discharging atoms relation_dom(all_0_8_8) = all_147_0_160, relation_dom(all_0_8_8) = all_96_1_85, yields:
% 27.39/7.65  | (517) all_147_0_160 = all_96_1_85
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_10_10, all_135_1_143, all_137_0_145 and discharging atoms relation_dom(all_0_10_10) = all_137_0_145, relation_dom(all_0_10_10) = all_135_1_143, yields:
% 27.39/7.65  | (518) all_137_0_145 = all_135_1_143
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_10_10, all_118_0_119, all_135_1_143 and discharging atoms relation_dom(all_0_10_10) = all_135_1_143, relation_dom(all_0_10_10) = all_118_0_119, yields:
% 27.39/7.65  | (519) all_135_1_143 = all_118_0_119
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_10_10, all_114_1_114, all_118_0_119 and discharging atoms relation_dom(all_0_10_10) = all_118_0_119, relation_dom(all_0_10_10) = all_114_1_114, yields:
% 27.39/7.65  | (520) all_118_0_119 = all_114_1_114
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_10_10, all_112_0_110, all_25_0_22 and discharging atoms relation_dom(all_0_10_10) = all_112_0_110, relation_dom(all_0_10_10) = all_25_0_22, yields:
% 27.39/7.65  | (521) all_112_0_110 = all_25_0_22
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_10_10, all_112_0_110, all_114_1_114 and discharging atoms relation_dom(all_0_10_10) = all_114_1_114, relation_dom(all_0_10_10) = all_112_0_110, yields:
% 27.39/7.65  | (522) all_114_1_114 = all_112_0_110
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (37) with all_0_10_10, all_106_0_101, all_137_0_145 and discharging atoms relation_dom(all_0_10_10) = all_137_0_145, relation_dom(all_0_10_10) = all_106_0_101, yields:
% 27.39/7.65  | (523) all_137_0_145 = all_106_0_101
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (20) with all_0_7_7, all_11_0_17, all_98_0_87, all_116_0_116 and discharging atoms apply(all_0_7_7, all_11_0_17) = all_116_0_116, apply(all_0_7_7, all_11_0_17) = all_98_0_87, yields:
% 27.39/7.65  | (524) all_116_0_116 = all_98_0_87
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (20) with all_0_7_7, all_7_0_15, all_104_0_98, all_39_0_28 and discharging atoms apply(all_0_7_7, all_7_0_15) = all_104_0_98, apply(all_0_7_7, all_7_0_15) = all_39_0_28, yields:
% 27.39/7.65  | (525) all_104_0_98 = all_39_0_28
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (20) with all_0_7_7, all_5_0_14, all_102_1_95, all_23_2_20 and discharging atoms apply(all_0_7_7, all_5_0_14) = all_102_1_95, apply(all_0_7_7, all_5_0_14) = all_23_2_20, yields:
% 27.39/7.65  | (526) all_102_1_95 = all_23_2_20
% 27.39/7.65  |
% 27.39/7.65  | Instantiating formula (20) with all_0_7_7, all_5_0_14, all_100_1_91, all_102_1_95 and discharging atoms apply(all_0_7_7, all_5_0_14) = all_102_1_95, apply(all_0_7_7, all_5_0_14) = all_100_1_91, yields:
% 27.39/7.66  | (527) all_102_1_95 = all_100_1_91
% 27.39/7.66  |
% 27.39/7.66  | Instantiating formula (20) with all_0_8_8, all_7_0_15, all_126_0_132, all_151_1_167 and discharging atoms apply(all_0_8_8, all_7_0_15) = all_151_1_167, apply(all_0_8_8, all_7_0_15) = all_126_0_132, yields:
% 27.39/7.66  | (528) all_151_1_167 = all_126_0_132
% 27.39/7.66  |
% 27.39/7.66  | Instantiating formula (20) with all_0_8_8, all_7_0_15, all_124_0_129, all_151_1_167 and discharging atoms apply(all_0_8_8, all_7_0_15) = all_151_1_167, apply(all_0_8_8, all_7_0_15) = all_124_0_129, yields:
% 27.39/7.66  | (529) all_151_1_167 = all_124_0_129
% 27.39/7.66  |
% 27.39/7.66  | Instantiating formula (20) with all_0_8_8, all_7_0_15, all_122_0_126, all_151_1_167 and discharging atoms apply(all_0_8_8, all_7_0_15) = all_151_1_167, apply(all_0_8_8, all_7_0_15) = all_122_0_126, yields:
% 27.39/7.66  | (530) all_151_1_167 = all_122_0_126
% 27.39/7.66  |
% 27.39/7.66  | Instantiating formula (20) with all_0_8_8, all_5_0_14, all_94_1_81, all_23_1_19 and discharging atoms apply(all_0_8_8, all_5_0_14) = all_94_1_81, apply(all_0_8_8, all_5_0_14) = all_23_1_19, yields:
% 27.39/7.66  | (531) all_94_1_81 = all_23_1_19
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (509,511) yields a new equation:
% 27.39/7.66  | (532) all_98_1_88 = all_92_0_77
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 532 yields:
% 27.39/7.66  | (533) all_98_1_88 = all_92_0_77
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (481,483) yields a new equation:
% 27.39/7.66  | (534) all_149_2_165 = all_104_2_100
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 534 yields:
% 27.39/7.66  | (535) all_149_2_165 = all_104_2_100
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (530,528) yields a new equation:
% 27.39/7.66  | (536) all_126_0_132 = all_122_0_126
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (529,528) yields a new equation:
% 27.39/7.66  | (537) all_126_0_132 = all_124_0_129
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (502,512) yields a new equation:
% 27.39/7.66  | (538) all_149_0_163 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 538 yields:
% 27.39/7.66  | (539) all_149_0_163 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (503,539) yields a new equation:
% 27.39/7.66  | (540) all_145_0_157 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 540 yields:
% 27.39/7.66  | (541) all_145_0_157 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (482,535) yields a new equation:
% 27.39/7.66  | (542) all_110_2_109 = all_104_2_100
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 542 yields:
% 27.39/7.66  | (543) all_110_2_109 = all_104_2_100
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (513,517) yields a new equation:
% 27.39/7.66  | (544) all_141_0_151 = all_96_1_85
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 544 yields:
% 27.39/7.66  | (545) all_141_0_151 = all_96_1_85
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (486,487) yields a new equation:
% 27.39/7.66  | (546) all_126_2_134 = all_43_2_36
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (504,541) yields a new equation:
% 27.39/7.66  | (547) all_143_0_154 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 547 yields:
% 27.39/7.66  | (548) all_143_0_154 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (479,480) yields a new equation:
% 27.39/7.66  | (549) all_92_2_79 = all_45_2_39
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (505,548) yields a new equation:
% 27.39/7.66  | (550) all_130_2_140 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 550 yields:
% 27.39/7.66  | (551) all_130_2_140 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (484,485) yields a new equation:
% 27.39/7.66  | (552) all_90_2_76 = all_39_2_30
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (514,545) yields a new equation:
% 27.39/7.66  | (553) all_139_0_148 = all_96_1_85
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 553 yields:
% 27.39/7.66  | (554) all_139_0_148 = all_96_1_85
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (489,488) yields a new equation:
% 27.39/7.66  | (555) all_124_2_131 = all_0_7_7
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 555 yields:
% 27.39/7.66  | (556) all_124_2_131 = all_0_7_7
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (516,554) yields a new equation:
% 27.39/7.66  | (557) all_108_0_104 = all_96_1_85
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 557 yields:
% 27.39/7.66  | (558) all_108_0_104 = all_96_1_85
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (518,523) yields a new equation:
% 27.39/7.66  | (559) all_135_1_143 = all_106_0_101
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 559 yields:
% 27.39/7.66  | (560) all_135_1_143 = all_106_0_101
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (519,560) yields a new equation:
% 27.39/7.66  | (561) all_118_0_119 = all_106_0_101
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 561 yields:
% 27.39/7.66  | (562) all_118_0_119 = all_106_0_101
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (500,501) yields a new equation:
% 27.39/7.66  | (563) all_88_3_73 = all_37_1_26
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (506,551) yields a new equation:
% 27.39/7.66  | (564) all_116_1_117 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 564 yields:
% 27.39/7.66  | (565) all_116_1_117 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (537,536) yields a new equation:
% 27.39/7.66  | (566) all_124_0_129 = all_122_0_126
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 566 yields:
% 27.39/7.66  | (567) all_124_0_129 = all_122_0_126
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (492,493) yields a new equation:
% 27.39/7.66  | (568) all_114_2_115 = all_57_1_49
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (520,562) yields a new equation:
% 27.39/7.66  | (569) all_114_1_114 = all_106_0_101
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 569 yields:
% 27.39/7.66  | (570) all_114_1_114 = all_106_0_101
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (510,507) yields a new equation:
% 27.39/7.66  | (571) all_110_0_107 = all_98_1_88
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (565,507) yields a new equation:
% 27.39/7.66  | (572) all_110_0_107 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (498,499) yields a new equation:
% 27.39/7.66  | (573) all_102_3_97 = all_39_1_29
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (522,570) yields a new equation:
% 27.39/7.66  | (574) all_112_0_110 = all_106_0_101
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 574 yields:
% 27.39/7.66  | (575) all_112_0_110 = all_106_0_101
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (575,521) yields a new equation:
% 27.39/7.66  | (576) all_106_0_101 = all_25_0_22
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 576 yields:
% 27.39/7.66  | (577) all_106_0_101 = all_25_0_22
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (571,572) yields a new equation:
% 27.39/7.66  | (578) all_98_1_88 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 578 yields:
% 27.39/7.66  | (579) all_98_1_88 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (515,558) yields a new equation:
% 27.39/7.66  | (580) all_96_1_85 = all_43_0_34
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (526,527) yields a new equation:
% 27.39/7.66  | (581) all_100_1_91 = all_23_2_20
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (495,494) yields a new equation:
% 27.39/7.66  | (582) all_98_2_89 = all_45_1_38
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 582 yields:
% 27.39/7.66  | (583) all_98_2_89 = all_45_1_38
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (508,533) yields a new equation:
% 27.39/7.66  | (584) all_92_0_77 = all_23_3_21
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (579,533) yields a new equation:
% 27.39/7.66  | (585) all_92_0_77 = all_90_0_74
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (496,497) yields a new equation:
% 27.39/7.66  | (586) all_94_3_83 = all_43_1_35
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (585,584) yields a new equation:
% 27.39/7.66  | (587) all_90_0_74 = all_23_3_21
% 27.39/7.66  |
% 27.39/7.66  | Simplifying 587 yields:
% 27.39/7.66  | (588) all_90_0_74 = all_23_3_21
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (588,551) yields a new equation:
% 27.39/7.66  | (589) all_130_2_140 = all_23_3_21
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (552,485) yields a new equation:
% 27.39/7.66  | (484) all_143_2_156 = all_39_2_30
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (549,480) yields a new equation:
% 27.39/7.66  | (479) all_145_2_159 = all_45_2_39
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (546,487) yields a new equation:
% 27.39/7.66  | (486) all_147_2_162 = all_43_2_36
% 27.39/7.66  |
% 27.39/7.66  | Combining equations (536,528) yields a new equation:
% 27.39/7.66  | (530) all_151_1_167 = all_122_0_126
% 27.39/7.66  |
% 27.39/7.66  | From (543) and (366) follows:
% 27.39/7.66  | (348) relation_composition(all_0_7_7, all_0_8_8) = all_104_2_100
% 27.39/7.66  |
% 27.39/7.66  | From (556) and (405) follows:
% 27.39/7.66  | (25) relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7
% 27.39/7.66  |
% 27.39/7.66  | From (486) and (457) follows:
% 27.39/7.66  | (596) relation_dom(all_43_2_36) = all_147_1_161
% 27.39/7.66  |
% 27.39/7.66  | From (479) and (455) follows:
% 27.39/7.66  | (597) relation_dom(all_45_2_39) = all_145_1_158
% 27.39/7.66  |
% 27.39/7.66  | From (484) and (449) follows:
% 27.39/7.66  | (598) relation_dom(all_39_2_30) = all_143_1_155
% 27.39/7.66  |
% 27.39/7.66  | From (488) and (441) follows:
% 27.39/7.66  | (599) relation_dom(all_0_7_7) = all_141_1_152
% 27.39/7.66  |
% 27.39/7.66  | From (546) and (413) follows:
% 27.39/7.66  | (600) relation_dom(all_43_2_36) = all_126_1_133
% 27.39/7.66  |
% 27.39/7.66  | From (556) and (404) follows:
% 27.39/7.66  | (601) relation_dom(all_0_7_7) = all_124_1_130
% 27.39/7.66  |
% 27.39/7.66  | From (490) and (388) follows:
% 27.39/7.66  | (602) relation_dom(all_37_2_27) = all_118_1_120
% 27.39/7.66  |
% 27.39/7.66  | From (491) and (371) follows:
% 27.39/7.66  | (603) relation_dom(all_57_2_50) = all_112_1_111
% 27.39/7.66  |
% 27.39/7.66  | From (549) and (309) follows:
% 27.39/7.66  | (604) relation_dom(all_45_2_39) = all_92_1_78
% 27.39/7.66  |
% 27.39/7.66  | From (552) and (305) follows:
% 27.39/7.66  | (605) relation_dom(all_39_2_30) = all_90_1_75
% 27.39/7.66  |
% 27.39/7.66  | From (568) and (375) follows:
% 27.39/7.66  | (148) relation_dom(all_57_2_50) = all_57_1_49
% 27.39/7.66  |
% 27.39/7.66  | From (583) and (326) follows:
% 27.39/7.66  | (132) relation_dom(all_45_2_39) = all_45_1_38
% 27.39/7.66  |
% 27.39/7.66  | From (586) and (317) follows:
% 27.39/7.66  | (127) relation_dom(all_43_2_36) = all_43_1_35
% 27.39/7.66  |
% 27.39/7.66  | From (573) and (340) follows:
% 27.39/7.67  | (113) relation_dom(all_39_2_30) = all_39_1_29
% 27.39/7.67  |
% 27.39/7.67  | From (563) and (296) follows:
% 27.39/7.67  | (108) relation_dom(all_37_2_27) = all_37_1_26
% 27.39/7.67  |
% 27.39/7.67  | From (588) and (306) follows:
% 27.39/7.67  | (77) relation_dom(all_0_7_7) = all_23_3_21
% 27.39/7.67  |
% 27.39/7.67  | From (580) and (324) follows:
% 27.39/7.67  | (128) relation_dom(all_0_8_8) = all_43_0_34
% 27.39/7.67  |
% 27.39/7.67  | From (577) and (350) follows:
% 27.39/7.67  | (81) relation_dom(all_0_10_10) = all_25_0_22
% 27.39/7.67  |
% 27.39/7.67  | From (581) and (332) follows:
% 27.39/7.67  | (614) apply(all_0_7_7, all_23_2_20) = all_100_0_90
% 27.39/7.67  |
% 27.39/7.67  | From (531) and (318) follows:
% 27.39/7.67  | (615) apply(all_0_7_7, all_23_1_19) = all_94_0_80
% 27.39/7.67  |
% 27.39/7.67  | From (524) and (381) follows:
% 27.39/7.67  | (327) apply(all_0_7_7, all_11_0_17) = all_98_0_87
% 27.39/7.67  |
% 27.39/7.67  | From (525) and (344) follows:
% 27.39/7.67  | (115) apply(all_0_7_7, all_7_0_15) = all_39_0_28
% 27.39/7.67  |
% 27.39/7.67  | From (581) and (334) follows:
% 27.39/7.67  | (76) apply(all_0_7_7, all_5_0_14) = all_23_2_20
% 27.39/7.67  |
% 27.39/7.67  | From (567) and (408) follows:
% 27.39/7.67  | (399) apply(all_0_8_8, all_7_0_15) = all_122_0_126
% 27.39/7.67  |
% 27.39/7.67  | From (530) and (471) follows:
% 27.39/7.67  | (620) apply(all_0_10_10, all_122_0_126) = all_151_0_166
% 27.39/7.67  |
% 27.39/7.67  +-Applying beta-rule and splitting (419), into two cases.
% 27.39/7.67  |-Branch one:
% 27.39/7.67  | (621)  ~ in(all_70_0_67, all_130_2_140)
% 27.39/7.67  |
% 27.39/7.67  	| From (589) and (621) follows:
% 27.39/7.67  	| (622)  ~ in(all_70_0_67, all_23_3_21)
% 27.39/7.67  	|
% 27.39/7.67  	| Using (236) and (622) yields:
% 27.39/7.67  	| (623) $false
% 27.39/7.67  	|
% 27.39/7.67  	|-The branch is then unsatisfiable
% 27.39/7.67  |-Branch two:
% 27.39/7.67  | (624) in(all_70_0_67, all_130_2_140)
% 27.39/7.67  | (625) all_130_0_138 = all_0_11_11
% 27.39/7.67  |
% 27.39/7.67  	| From (625) and (418) follows:
% 27.39/7.67  	| (626) apply(all_0_10_10, all_130_1_139) = all_0_11_11
% 27.39/7.67  	|
% 27.39/7.67  	| From (589) and (624) follows:
% 27.39/7.67  	| (236) in(all_70_0_67, all_23_3_21)
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (37) with all_57_2_50, all_112_1_111, all_57_1_49 and discharging atoms relation_dom(all_57_2_50) = all_112_1_111, relation_dom(all_57_2_50) = all_57_1_49, yields:
% 27.39/7.67  	| (628) all_112_1_111 = all_57_1_49
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (37) with all_45_2_39, all_145_1_158, all_45_1_38 and discharging atoms relation_dom(all_45_2_39) = all_145_1_158, relation_dom(all_45_2_39) = all_45_1_38, yields:
% 27.39/7.67  	| (629) all_145_1_158 = all_45_1_38
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (37) with all_45_2_39, all_92_1_78, all_145_1_158 and discharging atoms relation_dom(all_45_2_39) = all_145_1_158, relation_dom(all_45_2_39) = all_92_1_78, yields:
% 27.39/7.67  	| (630) all_145_1_158 = all_92_1_78
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (37) with all_43_2_36, all_147_1_161, all_43_1_35 and discharging atoms relation_dom(all_43_2_36) = all_147_1_161, relation_dom(all_43_2_36) = all_43_1_35, yields:
% 27.39/7.67  	| (631) all_147_1_161 = all_43_1_35
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (37) with all_43_2_36, all_126_1_133, all_147_1_161 and discharging atoms relation_dom(all_43_2_36) = all_147_1_161, relation_dom(all_43_2_36) = all_126_1_133, yields:
% 27.39/7.67  	| (632) all_147_1_161 = all_126_1_133
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (37) with all_39_2_30, all_143_1_155, all_39_1_29 and discharging atoms relation_dom(all_39_2_30) = all_143_1_155, relation_dom(all_39_2_30) = all_39_1_29, yields:
% 27.39/7.67  	| (633) all_143_1_155 = all_39_1_29
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (37) with all_39_2_30, all_90_1_75, all_143_1_155 and discharging atoms relation_dom(all_39_2_30) = all_143_1_155, relation_dom(all_39_2_30) = all_90_1_75, yields:
% 27.39/7.67  	| (634) all_143_1_155 = all_90_1_75
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (37) with all_37_2_27, all_118_1_120, all_37_1_26 and discharging atoms relation_dom(all_37_2_27) = all_118_1_120, relation_dom(all_37_2_27) = all_37_1_26, yields:
% 27.39/7.67  	| (635) all_118_1_120 = all_37_1_26
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (37) with all_0_7_7, all_141_1_152, all_23_3_21 and discharging atoms relation_dom(all_0_7_7) = all_141_1_152, relation_dom(all_0_7_7) = all_23_3_21, yields:
% 27.39/7.67  	| (636) all_141_1_152 = all_23_3_21
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (37) with all_0_7_7, all_124_1_130, all_141_1_152 and discharging atoms relation_dom(all_0_7_7) = all_141_1_152, relation_dom(all_0_7_7) = all_124_1_130, yields:
% 27.39/7.67  	| (637) all_141_1_152 = all_124_1_130
% 27.39/7.67  	|
% 27.39/7.67  	| Combining equations (631,632) yields a new equation:
% 27.39/7.67  	| (638) all_126_1_133 = all_43_1_35
% 27.39/7.67  	|
% 27.39/7.67  	| Combining equations (629,630) yields a new equation:
% 27.39/7.67  	| (639) all_92_1_78 = all_45_1_38
% 27.39/7.67  	|
% 27.39/7.67  	| Combining equations (633,634) yields a new equation:
% 27.39/7.67  	| (640) all_90_1_75 = all_39_1_29
% 27.39/7.67  	|
% 27.39/7.67  	| Combining equations (636,637) yields a new equation:
% 27.39/7.67  	| (641) all_124_1_130 = all_23_3_21
% 27.39/7.67  	|
% 27.39/7.67  	| From (628) and (603) follows:
% 27.39/7.67  	| (148) relation_dom(all_57_2_50) = all_57_1_49
% 27.39/7.67  	|
% 27.39/7.67  	| From (639) and (604) follows:
% 27.39/7.67  	| (132) relation_dom(all_45_2_39) = all_45_1_38
% 27.39/7.67  	|
% 27.39/7.67  	| From (638) and (600) follows:
% 27.39/7.67  	| (127) relation_dom(all_43_2_36) = all_43_1_35
% 27.39/7.67  	|
% 27.39/7.67  	| From (640) and (605) follows:
% 27.39/7.67  	| (113) relation_dom(all_39_2_30) = all_39_1_29
% 27.39/7.67  	|
% 27.39/7.67  	| From (635) and (602) follows:
% 27.39/7.67  	| (108) relation_dom(all_37_2_27) = all_37_1_26
% 27.39/7.67  	|
% 27.39/7.67  	| From (641) and (601) follows:
% 27.39/7.67  	| (77) relation_dom(all_0_7_7) = all_23_3_21
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (69) with all_104_2_100, all_0_7_7, all_43_0_34, all_0_8_8 and discharging atoms relation_composition(all_0_7_7, all_0_8_8) = all_104_2_100, relation_dom(all_0_8_8) = all_43_0_34, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.67  	| (648)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_104_2_100) = v0 & relation_dom(all_0_7_7) = v1 & apply(all_0_7_7, all_11_0_17) = v2 & ( ~ in(v2, all_43_0_34) |  ~ in(all_11_0_17, v1) | in(all_11_0_17, v0)) & ( ~ in(all_11_0_17, v0) | (in(v2, all_43_0_34) & in(all_11_0_17, v1))))
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (44) with all_88_0_70, all_0_7_7, all_0_8_8, all_0_10_10, all_88_1_71 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, apply(all_0_7_7, all_88_1_71) = all_88_0_70, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.67  	| (649)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_0_7_7) = v0 & apply(all_0_8_8, all_88_1_71) = v1 & apply(all_0_10_10, v1) = v2 & (v2 = all_88_0_70 |  ~ in(all_88_1_71, v0)))
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (28) with all_88_0_70, all_0_7_7, all_23_3_21, all_0_7_7, all_88_1_71 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_7_7, all_88_1_71) = all_88_0_70, relation(all_0_7_7), function(all_0_7_7), yields:
% 27.39/7.67  	| (650)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_88_0_70, all_23_3_21) |  ~ in(all_88_1_71, v2) | in(all_88_1_71, v1)) & ( ~ in(all_88_1_71, v1) | (in(all_88_0_70, all_23_3_21) & in(all_88_1_71, v2))))
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (28) with all_88_0_70, all_0_7_7, all_43_0_34, all_0_8_8, all_88_1_71 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_7_7, all_88_1_71) = all_88_0_70, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.67  	| (651)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_88_0_70, all_43_0_34) |  ~ in(all_88_1_71, v2) | in(all_88_1_71, v1)) & ( ~ in(all_88_1_71, v1) | (in(all_88_0_70, all_43_0_34) & in(all_88_1_71, v2))))
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (28) with all_88_0_70, all_0_7_7, all_25_0_22, all_0_10_10, all_88_1_71 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_7_7, all_88_1_71) = all_88_0_70, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.39/7.67  	| (652)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_88_0_70, all_25_0_22) |  ~ in(all_88_1_71, v2) | in(all_88_1_71, v1)) & ( ~ in(all_88_1_71, v1) | (in(all_88_0_70, all_25_0_22) & in(all_88_1_71, v2))))
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (44) with all_94_0_80, all_0_7_7, all_0_8_8, all_0_10_10, all_23_1_19 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, apply(all_0_7_7, all_23_1_19) = all_94_0_80, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.67  	| (653)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_0_7_7) = v0 & apply(all_0_8_8, all_23_1_19) = v1 & apply(all_0_10_10, v1) = v2 & (v2 = all_94_0_80 |  ~ in(all_23_1_19, v0)))
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (28) with all_94_0_80, all_0_7_7, all_23_3_21, all_0_7_7, all_23_1_19 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_7_7, all_23_1_19) = all_94_0_80, relation(all_0_7_7), function(all_0_7_7), yields:
% 27.39/7.67  	| (654)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_94_0_80, all_23_3_21) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_94_0_80, all_23_3_21) & in(all_23_1_19, v2))))
% 27.39/7.67  	|
% 27.39/7.67  	| Instantiating formula (28) with all_94_0_80, all_0_7_7, all_43_0_34, all_0_8_8, all_23_1_19 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_7_7, all_23_1_19) = all_94_0_80, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.67  	| (655)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_94_0_80, all_43_0_34) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_94_0_80, all_43_0_34) & in(all_23_1_19, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_94_0_80, all_0_7_7, all_25_0_22, all_0_10_10, all_23_1_19 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_7_7, all_23_1_19) = all_94_0_80, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.39/7.68  	| (656)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_94_0_80, all_25_0_22) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_94_0_80, all_25_0_22) & in(all_23_1_19, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (44) with all_100_0_90, all_0_7_7, all_0_8_8, all_0_10_10, all_23_2_20 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, apply(all_0_7_7, all_23_2_20) = all_100_0_90, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.68  	| (657)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_0_7_7) = v0 & apply(all_0_8_8, all_23_2_20) = v1 & apply(all_0_10_10, v1) = v2 & (v2 = all_100_0_90 |  ~ in(all_23_2_20, v0)))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_100_0_90, all_0_7_7, all_23_3_21, all_0_7_7, all_23_2_20 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_7_7, all_23_2_20) = all_100_0_90, relation(all_0_7_7), function(all_0_7_7), yields:
% 27.39/7.68  	| (658)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_100_0_90, all_23_3_21) |  ~ in(all_23_2_20, v2) | in(all_23_2_20, v1)) & ( ~ in(all_23_2_20, v1) | (in(all_100_0_90, all_23_3_21) & in(all_23_2_20, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_100_0_90, all_0_7_7, all_43_0_34, all_0_8_8, all_23_2_20 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_7_7, all_23_2_20) = all_100_0_90, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.68  	| (659)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_100_0_90, all_43_0_34) |  ~ in(all_23_2_20, v2) | in(all_23_2_20, v1)) & ( ~ in(all_23_2_20, v1) | (in(all_100_0_90, all_43_0_34) & in(all_23_2_20, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_100_0_90, all_0_7_7, all_25_0_22, all_0_10_10, all_23_2_20 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_7_7, all_23_2_20) = all_100_0_90, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.39/7.68  	| (660)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_100_0_90, all_25_0_22) |  ~ in(all_23_2_20, v2) | in(all_23_2_20, v1)) & ( ~ in(all_23_2_20, v1) | (in(all_100_0_90, all_25_0_22) & in(all_23_2_20, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (44) with all_98_0_87, all_0_7_7, all_0_8_8, all_0_10_10, all_11_0_17 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, apply(all_0_7_7, all_11_0_17) = all_98_0_87, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.68  	| (661)  ? [v0] :  ? [v1] :  ? [v2] : (relation_dom(all_0_7_7) = v0 & apply(all_0_8_8, all_11_0_17) = v1 & apply(all_0_10_10, v1) = v2 & (v2 = all_98_0_87 |  ~ in(all_11_0_17, v0)))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_98_0_87, all_0_7_7, all_23_3_21, all_0_7_7, all_11_0_17 and discharging atoms relation_dom(all_0_7_7) = all_23_3_21, apply(all_0_7_7, all_11_0_17) = all_98_0_87, relation(all_0_7_7), function(all_0_7_7), yields:
% 27.39/7.68  	| (662)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_98_0_87, all_23_3_21) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_98_0_87, all_23_3_21) & in(all_11_0_17, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_98_0_87, all_0_7_7, all_43_0_34, all_0_8_8, all_11_0_17 and discharging atoms relation_dom(all_0_8_8) = all_43_0_34, apply(all_0_7_7, all_11_0_17) = all_98_0_87, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 27.39/7.68  	| (663)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_98_0_87, all_43_0_34) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_98_0_87, all_43_0_34) & in(all_11_0_17, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_98_0_87, all_0_7_7, all_25_0_22, all_0_10_10, all_11_0_17 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_7_7, all_11_0_17) = all_98_0_87, relation(all_0_7_7), relation(all_0_10_10), function(all_0_7_7), function(all_0_10_10), yields:
% 27.39/7.68  	| (664)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_98_0_87, all_25_0_22) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_98_0_87, all_25_0_22) & in(all_11_0_17, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_130_1_139, all_0_8_8, all_25_0_22, all_0_10_10, all_70_0_67 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_8_8, all_70_0_67) = all_130_1_139, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.68  	| (665)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_130_1_139, all_25_0_22) |  ~ in(all_70_0_67, v2) | in(all_70_0_67, v1)) & ( ~ in(all_70_0_67, v1) | (in(all_130_1_139, all_25_0_22) & in(all_70_0_67, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_122_0_126, all_0_8_8, all_25_0_22, all_0_10_10, all_7_0_15 and discharging atoms relation_dom(all_0_10_10) = all_25_0_22, apply(all_0_8_8, all_7_0_15) = all_122_0_126, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.68  	| (666)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_10_10) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_122_0_126, all_25_0_22) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_122_0_126, all_25_0_22) & in(all_7_0_15, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (23) with all_151_0_166, all_122_0_126, all_0_8_8, all_0_10_10, all_7_0_15 and discharging atoms apply(all_0_8_8, all_7_0_15) = all_122_0_126, apply(all_0_10_10, all_122_0_126) = all_151_0_166, relation(all_0_8_8), relation(all_0_10_10), function(all_0_8_8), function(all_0_10_10), yields:
% 27.39/7.68  	| (667)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_8_8, all_0_10_10) = v0 & relation_dom(v0) = v1 & apply(v0, all_7_0_15) = v2 & (v2 = all_151_0_166 |  ~ in(all_7_0_15, v1)))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_0_11_11, all_0_7_7, all_57_1_49, all_57_2_50, all_70_0_67 and discharging atoms relation_dom(all_57_2_50) = all_57_1_49, apply(all_0_7_7, all_70_0_67) = all_0_11_11, relation(all_57_2_50), relation(all_0_7_7), function(all_57_2_50), function(all_0_7_7), yields:
% 27.39/7.68  	| (668)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_57_2_50) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_67, v2) |  ~ in(all_0_11_11, all_57_1_49) | in(all_70_0_67, v1)) & ( ~ in(all_70_0_67, v1) | (in(all_70_0_67, v2) & in(all_0_11_11, all_57_1_49))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_39_0_28, all_0_7_7, all_57_1_49, all_57_2_50, all_7_0_15 and discharging atoms relation_dom(all_57_2_50) = all_57_1_49, apply(all_0_7_7, all_7_0_15) = all_39_0_28, relation(all_57_2_50), relation(all_0_7_7), function(all_57_2_50), function(all_0_7_7), yields:
% 27.39/7.68  	| (669)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_57_2_50) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_39_0_28, all_57_1_49) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_39_0_28, all_57_1_49) & in(all_7_0_15, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_23_2_20, all_0_7_7, all_57_1_49, all_57_2_50, all_5_0_14 and discharging atoms relation_dom(all_57_2_50) = all_57_1_49, apply(all_0_7_7, all_5_0_14) = all_23_2_20, relation(all_57_2_50), relation(all_0_7_7), function(all_57_2_50), function(all_0_7_7), yields:
% 27.39/7.68  	| (670)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_57_2_50) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_2_20, all_57_1_49) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_2_20, all_57_1_49) & in(all_5_0_14, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_88_0_70, all_0_7_7, all_57_1_49, all_57_2_50, all_88_1_71 and discharging atoms relation_dom(all_57_2_50) = all_57_1_49, apply(all_0_7_7, all_88_1_71) = all_88_0_70, relation(all_57_2_50), relation(all_0_7_7), function(all_57_2_50), function(all_0_7_7), yields:
% 27.39/7.68  	| (671)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_57_2_50) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_88_0_70, all_57_1_49) |  ~ in(all_88_1_71, v2) | in(all_88_1_71, v1)) & ( ~ in(all_88_1_71, v1) | (in(all_88_0_70, all_57_1_49) & in(all_88_1_71, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_94_0_80, all_0_7_7, all_57_1_49, all_57_2_50, all_23_1_19 and discharging atoms relation_dom(all_57_2_50) = all_57_1_49, apply(all_0_7_7, all_23_1_19) = all_94_0_80, relation(all_57_2_50), relation(all_0_7_7), function(all_57_2_50), function(all_0_7_7), yields:
% 27.39/7.68  	| (672)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_57_2_50) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_94_0_80, all_57_1_49) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_94_0_80, all_57_1_49) & in(all_23_1_19, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_100_0_90, all_0_7_7, all_57_1_49, all_57_2_50, all_23_2_20 and discharging atoms relation_dom(all_57_2_50) = all_57_1_49, apply(all_0_7_7, all_23_2_20) = all_100_0_90, relation(all_57_2_50), relation(all_0_7_7), function(all_57_2_50), function(all_0_7_7), yields:
% 27.39/7.68  	| (673)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_57_2_50) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_100_0_90, all_57_1_49) |  ~ in(all_23_2_20, v2) | in(all_23_2_20, v1)) & ( ~ in(all_23_2_20, v1) | (in(all_100_0_90, all_57_1_49) & in(all_23_2_20, v2))))
% 27.39/7.68  	|
% 27.39/7.68  	| Instantiating formula (28) with all_98_0_87, all_0_7_7, all_57_1_49, all_57_2_50, all_11_0_17 and discharging atoms relation_dom(all_57_2_50) = all_57_1_49, apply(all_0_7_7, all_11_0_17) = all_98_0_87, relation(all_57_2_50), relation(all_0_7_7), function(all_57_2_50), function(all_0_7_7), yields:
% 27.39/7.68  	| (674)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_57_2_50) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_98_0_87, all_57_1_49) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_98_0_87, all_57_1_49) & in(all_11_0_17, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_0_11_11, all_0_7_7, all_45_1_38, all_45_2_39, all_70_0_67 and discharging atoms relation_dom(all_45_2_39) = all_45_1_38, apply(all_0_7_7, all_70_0_67) = all_0_11_11, relation(all_45_2_39), relation(all_0_7_7), function(all_45_2_39), function(all_0_7_7), yields:
% 27.39/7.69  	| (675)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_45_2_39) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_67, v2) |  ~ in(all_0_11_11, all_45_1_38) | in(all_70_0_67, v1)) & ( ~ in(all_70_0_67, v1) | (in(all_70_0_67, v2) & in(all_0_11_11, all_45_1_38))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_39_0_28, all_0_7_7, all_45_1_38, all_45_2_39, all_7_0_15 and discharging atoms relation_dom(all_45_2_39) = all_45_1_38, apply(all_0_7_7, all_7_0_15) = all_39_0_28, relation(all_45_2_39), relation(all_0_7_7), function(all_45_2_39), function(all_0_7_7), yields:
% 27.39/7.69  	| (676)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_45_2_39) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_39_0_28, all_45_1_38) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_39_0_28, all_45_1_38) & in(all_7_0_15, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_23_2_20, all_0_7_7, all_45_1_38, all_45_2_39, all_5_0_14 and discharging atoms relation_dom(all_45_2_39) = all_45_1_38, apply(all_0_7_7, all_5_0_14) = all_23_2_20, relation(all_45_2_39), relation(all_0_7_7), function(all_45_2_39), function(all_0_7_7), yields:
% 27.39/7.69  	| (677)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_45_2_39) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_2_20, all_45_1_38) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_2_20, all_45_1_38) & in(all_5_0_14, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_88_0_70, all_0_7_7, all_45_1_38, all_45_2_39, all_88_1_71 and discharging atoms relation_dom(all_45_2_39) = all_45_1_38, apply(all_0_7_7, all_88_1_71) = all_88_0_70, relation(all_45_2_39), relation(all_0_7_7), function(all_45_2_39), function(all_0_7_7), yields:
% 27.39/7.69  	| (678)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_45_2_39) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_88_0_70, all_45_1_38) |  ~ in(all_88_1_71, v2) | in(all_88_1_71, v1)) & ( ~ in(all_88_1_71, v1) | (in(all_88_0_70, all_45_1_38) & in(all_88_1_71, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_94_0_80, all_0_7_7, all_45_1_38, all_45_2_39, all_23_1_19 and discharging atoms relation_dom(all_45_2_39) = all_45_1_38, apply(all_0_7_7, all_23_1_19) = all_94_0_80, relation(all_45_2_39), relation(all_0_7_7), function(all_45_2_39), function(all_0_7_7), yields:
% 27.39/7.69  	| (679)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_45_2_39) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_94_0_80, all_45_1_38) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_94_0_80, all_45_1_38) & in(all_23_1_19, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_100_0_90, all_0_7_7, all_45_1_38, all_45_2_39, all_23_2_20 and discharging atoms relation_dom(all_45_2_39) = all_45_1_38, apply(all_0_7_7, all_23_2_20) = all_100_0_90, relation(all_45_2_39), relation(all_0_7_7), function(all_45_2_39), function(all_0_7_7), yields:
% 27.39/7.69  	| (680)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_45_2_39) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_100_0_90, all_45_1_38) |  ~ in(all_23_2_20, v2) | in(all_23_2_20, v1)) & ( ~ in(all_23_2_20, v1) | (in(all_100_0_90, all_45_1_38) & in(all_23_2_20, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_98_0_87, all_0_7_7, all_45_1_38, all_45_2_39, all_11_0_17 and discharging atoms relation_dom(all_45_2_39) = all_45_1_38, apply(all_0_7_7, all_11_0_17) = all_98_0_87, relation(all_45_2_39), relation(all_0_7_7), function(all_45_2_39), function(all_0_7_7), yields:
% 27.39/7.69  	| (681)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_45_2_39) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_98_0_87, all_45_1_38) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_98_0_87, all_45_1_38) & in(all_11_0_17, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_0_11_11, all_0_7_7, all_43_1_35, all_43_2_36, all_70_0_67 and discharging atoms relation_dom(all_43_2_36) = all_43_1_35, apply(all_0_7_7, all_70_0_67) = all_0_11_11, relation(all_43_2_36), relation(all_0_7_7), function(all_43_2_36), function(all_0_7_7), yields:
% 27.39/7.69  	| (682)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_43_2_36) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_67, v2) |  ~ in(all_0_11_11, all_43_1_35) | in(all_70_0_67, v1)) & ( ~ in(all_70_0_67, v1) | (in(all_70_0_67, v2) & in(all_0_11_11, all_43_1_35))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_39_0_28, all_0_7_7, all_43_1_35, all_43_2_36, all_7_0_15 and discharging atoms relation_dom(all_43_2_36) = all_43_1_35, apply(all_0_7_7, all_7_0_15) = all_39_0_28, relation(all_43_2_36), relation(all_0_7_7), function(all_43_2_36), function(all_0_7_7), yields:
% 27.39/7.69  	| (683)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_43_2_36) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_39_0_28, all_43_1_35) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_39_0_28, all_43_1_35) & in(all_7_0_15, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_23_2_20, all_0_7_7, all_43_1_35, all_43_2_36, all_5_0_14 and discharging atoms relation_dom(all_43_2_36) = all_43_1_35, apply(all_0_7_7, all_5_0_14) = all_23_2_20, relation(all_43_2_36), relation(all_0_7_7), function(all_43_2_36), function(all_0_7_7), yields:
% 27.39/7.69  	| (684)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_43_2_36) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_2_20, all_43_1_35) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_2_20, all_43_1_35) & in(all_5_0_14, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_88_0_70, all_0_7_7, all_43_1_35, all_43_2_36, all_88_1_71 and discharging atoms relation_dom(all_43_2_36) = all_43_1_35, apply(all_0_7_7, all_88_1_71) = all_88_0_70, relation(all_43_2_36), relation(all_0_7_7), function(all_43_2_36), function(all_0_7_7), yields:
% 27.39/7.69  	| (685)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_43_2_36) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_88_0_70, all_43_1_35) |  ~ in(all_88_1_71, v2) | in(all_88_1_71, v1)) & ( ~ in(all_88_1_71, v1) | (in(all_88_0_70, all_43_1_35) & in(all_88_1_71, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_94_0_80, all_0_7_7, all_43_1_35, all_43_2_36, all_23_1_19 and discharging atoms relation_dom(all_43_2_36) = all_43_1_35, apply(all_0_7_7, all_23_1_19) = all_94_0_80, relation(all_43_2_36), relation(all_0_7_7), function(all_43_2_36), function(all_0_7_7), yields:
% 27.39/7.69  	| (686)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_43_2_36) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_94_0_80, all_43_1_35) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_94_0_80, all_43_1_35) & in(all_23_1_19, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_100_0_90, all_0_7_7, all_43_1_35, all_43_2_36, all_23_2_20 and discharging atoms relation_dom(all_43_2_36) = all_43_1_35, apply(all_0_7_7, all_23_2_20) = all_100_0_90, relation(all_43_2_36), relation(all_0_7_7), function(all_43_2_36), function(all_0_7_7), yields:
% 27.39/7.69  	| (687)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_43_2_36) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_100_0_90, all_43_1_35) |  ~ in(all_23_2_20, v2) | in(all_23_2_20, v1)) & ( ~ in(all_23_2_20, v1) | (in(all_100_0_90, all_43_1_35) & in(all_23_2_20, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_98_0_87, all_0_7_7, all_43_1_35, all_43_2_36, all_11_0_17 and discharging atoms relation_dom(all_43_2_36) = all_43_1_35, apply(all_0_7_7, all_11_0_17) = all_98_0_87, relation(all_43_2_36), relation(all_0_7_7), function(all_43_2_36), function(all_0_7_7), yields:
% 27.39/7.69  	| (688)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_43_2_36) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_98_0_87, all_43_1_35) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_98_0_87, all_43_1_35) & in(all_11_0_17, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_0_11_11, all_0_7_7, all_39_1_29, all_39_2_30, all_70_0_67 and discharging atoms relation_dom(all_39_2_30) = all_39_1_29, apply(all_0_7_7, all_70_0_67) = all_0_11_11, relation(all_39_2_30), relation(all_0_7_7), function(all_39_2_30), function(all_0_7_7), yields:
% 27.39/7.69  	| (689)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_39_2_30) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_67, v2) |  ~ in(all_0_11_11, all_39_1_29) | in(all_70_0_67, v1)) & ( ~ in(all_70_0_67, v1) | (in(all_70_0_67, v2) & in(all_0_11_11, all_39_1_29))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_39_0_28, all_0_7_7, all_39_1_29, all_39_2_30, all_7_0_15 and discharging atoms relation_dom(all_39_2_30) = all_39_1_29, apply(all_0_7_7, all_7_0_15) = all_39_0_28, relation(all_39_2_30), relation(all_0_7_7), function(all_39_2_30), function(all_0_7_7), yields:
% 27.39/7.69  	| (690)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_39_2_30) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_39_0_28, all_39_1_29) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_39_0_28, all_39_1_29) & in(all_7_0_15, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_23_2_20, all_0_7_7, all_39_1_29, all_39_2_30, all_5_0_14 and discharging atoms relation_dom(all_39_2_30) = all_39_1_29, apply(all_0_7_7, all_5_0_14) = all_23_2_20, relation(all_39_2_30), relation(all_0_7_7), function(all_39_2_30), function(all_0_7_7), yields:
% 27.39/7.69  	| (691)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_39_2_30) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_2_20, all_39_1_29) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_2_20, all_39_1_29) & in(all_5_0_14, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_88_0_70, all_0_7_7, all_39_1_29, all_39_2_30, all_88_1_71 and discharging atoms relation_dom(all_39_2_30) = all_39_1_29, apply(all_0_7_7, all_88_1_71) = all_88_0_70, relation(all_39_2_30), relation(all_0_7_7), function(all_39_2_30), function(all_0_7_7), yields:
% 27.39/7.69  	| (692)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_39_2_30) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_88_0_70, all_39_1_29) |  ~ in(all_88_1_71, v2) | in(all_88_1_71, v1)) & ( ~ in(all_88_1_71, v1) | (in(all_88_0_70, all_39_1_29) & in(all_88_1_71, v2))))
% 27.39/7.69  	|
% 27.39/7.69  	| Instantiating formula (28) with all_94_0_80, all_0_7_7, all_39_1_29, all_39_2_30, all_23_1_19 and discharging atoms relation_dom(all_39_2_30) = all_39_1_29, apply(all_0_7_7, all_23_1_19) = all_94_0_80, relation(all_39_2_30), relation(all_0_7_7), function(all_39_2_30), function(all_0_7_7), yields:
% 27.39/7.70  	| (693)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_39_2_30) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_94_0_80, all_39_1_29) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_94_0_80, all_39_1_29) & in(all_23_1_19, v2))))
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating formula (28) with all_100_0_90, all_0_7_7, all_39_1_29, all_39_2_30, all_23_2_20 and discharging atoms relation_dom(all_39_2_30) = all_39_1_29, apply(all_0_7_7, all_23_2_20) = all_100_0_90, relation(all_39_2_30), relation(all_0_7_7), function(all_39_2_30), function(all_0_7_7), yields:
% 27.39/7.70  	| (694)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_39_2_30) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_100_0_90, all_39_1_29) |  ~ in(all_23_2_20, v2) | in(all_23_2_20, v1)) & ( ~ in(all_23_2_20, v1) | (in(all_100_0_90, all_39_1_29) & in(all_23_2_20, v2))))
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating formula (28) with all_98_0_87, all_0_7_7, all_39_1_29, all_39_2_30, all_11_0_17 and discharging atoms relation_dom(all_39_2_30) = all_39_1_29, apply(all_0_7_7, all_11_0_17) = all_98_0_87, relation(all_39_2_30), relation(all_0_7_7), function(all_39_2_30), function(all_0_7_7), yields:
% 27.39/7.70  	| (695)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_39_2_30) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_98_0_87, all_39_1_29) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_98_0_87, all_39_1_29) & in(all_11_0_17, v2))))
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating formula (28) with all_0_11_11, all_0_7_7, all_37_1_26, all_37_2_27, all_70_0_67 and discharging atoms relation_dom(all_37_2_27) = all_37_1_26, apply(all_0_7_7, all_70_0_67) = all_0_11_11, relation(all_37_2_27), relation(all_0_7_7), function(all_37_2_27), function(all_0_7_7), yields:
% 27.39/7.70  	| (696)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_37_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_67, v2) |  ~ in(all_0_11_11, all_37_1_26) | in(all_70_0_67, v1)) & ( ~ in(all_70_0_67, v1) | (in(all_70_0_67, v2) & in(all_0_11_11, all_37_1_26))))
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating formula (28) with all_39_0_28, all_0_7_7, all_37_1_26, all_37_2_27, all_7_0_15 and discharging atoms relation_dom(all_37_2_27) = all_37_1_26, apply(all_0_7_7, all_7_0_15) = all_39_0_28, relation(all_37_2_27), relation(all_0_7_7), function(all_37_2_27), function(all_0_7_7), yields:
% 27.39/7.70  	| (697)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_37_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_39_0_28, all_37_1_26) |  ~ in(all_7_0_15, v2) | in(all_7_0_15, v1)) & ( ~ in(all_7_0_15, v1) | (in(all_39_0_28, all_37_1_26) & in(all_7_0_15, v2))))
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating formula (28) with all_23_2_20, all_0_7_7, all_37_1_26, all_37_2_27, all_5_0_14 and discharging atoms relation_dom(all_37_2_27) = all_37_1_26, apply(all_0_7_7, all_5_0_14) = all_23_2_20, relation(all_37_2_27), relation(all_0_7_7), function(all_37_2_27), function(all_0_7_7), yields:
% 27.39/7.70  	| (698)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_37_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_2_20, all_37_1_26) |  ~ in(all_5_0_14, v2) | in(all_5_0_14, v1)) & ( ~ in(all_5_0_14, v1) | (in(all_23_2_20, all_37_1_26) & in(all_5_0_14, v2))))
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating formula (28) with all_88_0_70, all_0_7_7, all_37_1_26, all_37_2_27, all_88_1_71 and discharging atoms relation_dom(all_37_2_27) = all_37_1_26, apply(all_0_7_7, all_88_1_71) = all_88_0_70, relation(all_37_2_27), relation(all_0_7_7), function(all_37_2_27), function(all_0_7_7), yields:
% 27.39/7.70  	| (699)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_37_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_88_0_70, all_37_1_26) |  ~ in(all_88_1_71, v2) | in(all_88_1_71, v1)) & ( ~ in(all_88_1_71, v1) | (in(all_88_0_70, all_37_1_26) & in(all_88_1_71, v2))))
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating formula (28) with all_94_0_80, all_0_7_7, all_37_1_26, all_37_2_27, all_23_1_19 and discharging atoms relation_dom(all_37_2_27) = all_37_1_26, apply(all_0_7_7, all_23_1_19) = all_94_0_80, relation(all_37_2_27), relation(all_0_7_7), function(all_37_2_27), function(all_0_7_7), yields:
% 27.39/7.70  	| (700)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_37_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_94_0_80, all_37_1_26) |  ~ in(all_23_1_19, v2) | in(all_23_1_19, v1)) & ( ~ in(all_23_1_19, v1) | (in(all_94_0_80, all_37_1_26) & in(all_23_1_19, v2))))
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating formula (28) with all_100_0_90, all_0_7_7, all_37_1_26, all_37_2_27, all_23_2_20 and discharging atoms relation_dom(all_37_2_27) = all_37_1_26, apply(all_0_7_7, all_23_2_20) = all_100_0_90, relation(all_37_2_27), relation(all_0_7_7), function(all_37_2_27), function(all_0_7_7), yields:
% 27.39/7.70  	| (701)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_37_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_100_0_90, all_37_1_26) |  ~ in(all_23_2_20, v2) | in(all_23_2_20, v1)) & ( ~ in(all_23_2_20, v1) | (in(all_100_0_90, all_37_1_26) & in(all_23_2_20, v2))))
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating formula (28) with all_98_0_87, all_0_7_7, all_37_1_26, all_37_2_27, all_11_0_17 and discharging atoms relation_dom(all_37_2_27) = all_37_1_26, apply(all_0_7_7, all_11_0_17) = all_98_0_87, relation(all_37_2_27), relation(all_0_7_7), function(all_37_2_27), function(all_0_7_7), yields:
% 27.39/7.70  	| (702)  ? [v0] :  ? [v1] :  ? [v2] : (relation_composition(all_0_7_7, all_37_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_98_0_87, all_37_1_26) |  ~ in(all_11_0_17, v2) | in(all_11_0_17, v1)) & ( ~ in(all_11_0_17, v1) | (in(all_98_0_87, all_37_1_26) & in(all_11_0_17, v2))))
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating (665) with all_186_0_191, all_186_1_192, all_186_2_193 yields:
% 27.39/7.70  	| (703) relation_composition(all_0_8_8, all_0_10_10) = all_186_2_193 & relation_dom(all_186_2_193) = all_186_1_192 & relation_dom(all_0_8_8) = all_186_0_191 & ( ~ in(all_130_1_139, all_25_0_22) |  ~ in(all_70_0_67, all_186_0_191) | in(all_70_0_67, all_186_1_192)) & ( ~ in(all_70_0_67, all_186_1_192) | (in(all_130_1_139, all_25_0_22) & in(all_70_0_67, all_186_0_191)))
% 27.39/7.70  	|
% 27.39/7.70  	| Applying alpha-rule on (703) yields:
% 27.39/7.70  	| (704)  ~ in(all_70_0_67, all_186_1_192) | (in(all_130_1_139, all_25_0_22) & in(all_70_0_67, all_186_0_191))
% 27.39/7.70  	| (705)  ~ in(all_130_1_139, all_25_0_22) |  ~ in(all_70_0_67, all_186_0_191) | in(all_70_0_67, all_186_1_192)
% 27.39/7.70  	| (706) relation_dom(all_0_8_8) = all_186_0_191
% 27.39/7.70  	| (707) relation_composition(all_0_8_8, all_0_10_10) = all_186_2_193
% 27.39/7.70  	| (708) relation_dom(all_186_2_193) = all_186_1_192
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating (666) with all_198_0_209, all_198_1_210, all_198_2_211 yields:
% 27.39/7.70  	| (709) relation_composition(all_0_8_8, all_0_10_10) = all_198_2_211 & relation_dom(all_198_2_211) = all_198_1_210 & relation_dom(all_0_8_8) = all_198_0_209 & ( ~ in(all_122_0_126, all_25_0_22) |  ~ in(all_7_0_15, all_198_0_209) | in(all_7_0_15, all_198_1_210)) & ( ~ in(all_7_0_15, all_198_1_210) | (in(all_122_0_126, all_25_0_22) & in(all_7_0_15, all_198_0_209)))
% 27.39/7.70  	|
% 27.39/7.70  	| Applying alpha-rule on (709) yields:
% 27.39/7.70  	| (710)  ~ in(all_122_0_126, all_25_0_22) |  ~ in(all_7_0_15, all_198_0_209) | in(all_7_0_15, all_198_1_210)
% 27.39/7.70  	| (711) relation_dom(all_0_8_8) = all_198_0_209
% 27.39/7.70  	| (712)  ~ in(all_7_0_15, all_198_1_210) | (in(all_122_0_126, all_25_0_22) & in(all_7_0_15, all_198_0_209))
% 27.39/7.70  	| (713) relation_composition(all_0_8_8, all_0_10_10) = all_198_2_211
% 27.39/7.70  	| (714) relation_dom(all_198_2_211) = all_198_1_210
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating (664) with all_210_0_228, all_210_1_229, all_210_2_230 yields:
% 27.39/7.70  	| (715) relation_composition(all_0_7_7, all_0_10_10) = all_210_2_230 & relation_dom(all_210_2_230) = all_210_1_229 & relation_dom(all_0_7_7) = all_210_0_228 & ( ~ in(all_98_0_87, all_25_0_22) |  ~ in(all_11_0_17, all_210_0_228) | in(all_11_0_17, all_210_1_229)) & ( ~ in(all_11_0_17, all_210_1_229) | (in(all_98_0_87, all_25_0_22) & in(all_11_0_17, all_210_0_228)))
% 27.39/7.70  	|
% 27.39/7.70  	| Applying alpha-rule on (715) yields:
% 27.39/7.70  	| (716) relation_composition(all_0_7_7, all_0_10_10) = all_210_2_230
% 27.39/7.70  	| (717) relation_dom(all_210_2_230) = all_210_1_229
% 27.39/7.70  	| (718)  ~ in(all_11_0_17, all_210_1_229) | (in(all_98_0_87, all_25_0_22) & in(all_11_0_17, all_210_0_228))
% 27.39/7.70  	| (719)  ~ in(all_98_0_87, all_25_0_22) |  ~ in(all_11_0_17, all_210_0_228) | in(all_11_0_17, all_210_1_229)
% 27.39/7.70  	| (720) relation_dom(all_0_7_7) = all_210_0_228
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating (663) with all_212_0_231, all_212_1_232, all_212_2_233 yields:
% 27.39/7.70  	| (721) relation_composition(all_0_7_7, all_0_8_8) = all_212_2_233 & relation_dom(all_212_2_233) = all_212_1_232 & relation_dom(all_0_7_7) = all_212_0_231 & ( ~ in(all_98_0_87, all_43_0_34) |  ~ in(all_11_0_17, all_212_0_231) | in(all_11_0_17, all_212_1_232)) & ( ~ in(all_11_0_17, all_212_1_232) | (in(all_98_0_87, all_43_0_34) & in(all_11_0_17, all_212_0_231)))
% 27.39/7.70  	|
% 27.39/7.70  	| Applying alpha-rule on (721) yields:
% 27.39/7.70  	| (722)  ~ in(all_11_0_17, all_212_1_232) | (in(all_98_0_87, all_43_0_34) & in(all_11_0_17, all_212_0_231))
% 27.39/7.70  	| (723)  ~ in(all_98_0_87, all_43_0_34) |  ~ in(all_11_0_17, all_212_0_231) | in(all_11_0_17, all_212_1_232)
% 27.39/7.70  	| (724) relation_dom(all_212_2_233) = all_212_1_232
% 27.39/7.70  	| (725) relation_composition(all_0_7_7, all_0_8_8) = all_212_2_233
% 27.39/7.70  	| (726) relation_dom(all_0_7_7) = all_212_0_231
% 27.39/7.70  	|
% 27.39/7.70  	| Instantiating (648) with all_214_0_234, all_214_1_235, all_214_2_236 yields:
% 27.39/7.70  	| (727) relation_dom(all_104_2_100) = all_214_2_236 & relation_dom(all_0_7_7) = all_214_1_235 & apply(all_0_7_7, all_11_0_17) = all_214_0_234 & ( ~ in(all_214_0_234, all_43_0_34) |  ~ in(all_11_0_17, all_214_1_235) | in(all_11_0_17, all_214_2_236)) & ( ~ in(all_11_0_17, all_214_2_236) | (in(all_214_0_234, all_43_0_34) & in(all_11_0_17, all_214_1_235)))
% 27.39/7.70  	|
% 27.39/7.70  	| Applying alpha-rule on (727) yields:
% 27.39/7.70  	| (728) apply(all_0_7_7, all_11_0_17) = all_214_0_234
% 27.39/7.70  	| (729) relation_dom(all_0_7_7) = all_214_1_235
% 27.39/7.70  	| (730)  ~ in(all_11_0_17, all_214_2_236) | (in(all_214_0_234, all_43_0_34) & in(all_11_0_17, all_214_1_235))
% 27.39/7.70  	| (731)  ~ in(all_214_0_234, all_43_0_34) |  ~ in(all_11_0_17, all_214_1_235) | in(all_11_0_17, all_214_2_236)
% 27.39/7.71  	| (732) relation_dom(all_104_2_100) = all_214_2_236
% 27.39/7.71  	|
% 27.39/7.71  	| Instantiating (660) with all_244_0_280, all_244_1_281, all_244_2_282 yields:
% 27.39/7.71  	| (733) relation_composition(all_0_7_7, all_0_10_10) = all_244_2_282 & relation_dom(all_244_2_282) = all_244_1_281 & relation_dom(all_0_7_7) = all_244_0_280 & ( ~ in(all_100_0_90, all_25_0_22) |  ~ in(all_23_2_20, all_244_0_280) | in(all_23_2_20, all_244_1_281)) & ( ~ in(all_23_2_20, all_244_1_281) | (in(all_100_0_90, all_25_0_22) & in(all_23_2_20, all_244_0_280)))
% 27.39/7.71  	|
% 27.39/7.71  	| Applying alpha-rule on (733) yields:
% 27.39/7.71  	| (734)  ~ in(all_23_2_20, all_244_1_281) | (in(all_100_0_90, all_25_0_22) & in(all_23_2_20, all_244_0_280))
% 27.39/7.71  	| (735) relation_dom(all_244_2_282) = all_244_1_281
% 27.39/7.71  	| (736)  ~ in(all_100_0_90, all_25_0_22) |  ~ in(all_23_2_20, all_244_0_280) | in(all_23_2_20, all_244_1_281)
% 27.39/7.71  	| (737) relation_composition(all_0_7_7, all_0_10_10) = all_244_2_282
% 27.39/7.71  	| (738) relation_dom(all_0_7_7) = all_244_0_280
% 27.39/7.71  	|
% 27.39/7.71  	| Instantiating (657) with all_246_0_283, all_246_1_284, all_246_2_285 yields:
% 27.39/7.71  	| (739) relation_dom(all_0_7_7) = all_246_2_285 & apply(all_0_8_8, all_23_2_20) = all_246_1_284 & apply(all_0_10_10, all_246_1_284) = all_246_0_283 & (all_246_0_283 = all_100_0_90 |  ~ in(all_23_2_20, all_246_2_285))
% 27.39/7.71  	|
% 27.39/7.71  	| Applying alpha-rule on (739) yields:
% 27.39/7.71  	| (740) relation_dom(all_0_7_7) = all_246_2_285
% 27.39/7.71  	| (741) apply(all_0_8_8, all_23_2_20) = all_246_1_284
% 27.39/7.71  	| (742) apply(all_0_10_10, all_246_1_284) = all_246_0_283
% 27.39/7.71  	| (743) all_246_0_283 = all_100_0_90 |  ~ in(all_23_2_20, all_246_2_285)
% 27.39/7.71  	|
% 27.39/7.71  	| Instantiating (656) with all_248_0_286, all_248_1_287, all_248_2_288 yields:
% 27.39/7.71  	| (744) relation_composition(all_0_7_7, all_0_10_10) = all_248_2_288 & relation_dom(all_248_2_288) = all_248_1_287 & relation_dom(all_0_7_7) = all_248_0_286 & ( ~ in(all_94_0_80, all_25_0_22) |  ~ in(all_23_1_19, all_248_0_286) | in(all_23_1_19, all_248_1_287)) & ( ~ in(all_23_1_19, all_248_1_287) | (in(all_94_0_80, all_25_0_22) & in(all_23_1_19, all_248_0_286)))
% 27.39/7.71  	|
% 27.39/7.71  	| Applying alpha-rule on (744) yields:
% 27.39/7.71  	| (745)  ~ in(all_23_1_19, all_248_1_287) | (in(all_94_0_80, all_25_0_22) & in(all_23_1_19, all_248_0_286))
% 27.39/7.71  	| (746) relation_dom(all_0_7_7) = all_248_0_286
% 27.39/7.71  	| (747) relation_dom(all_248_2_288) = all_248_1_287
% 27.39/7.71  	| (748) relation_composition(all_0_7_7, all_0_10_10) = all_248_2_288
% 27.39/7.71  	| (749)  ~ in(all_94_0_80, all_25_0_22) |  ~ in(all_23_1_19, all_248_0_286) | in(all_23_1_19, all_248_1_287)
% 27.39/7.71  	|
% 27.39/7.71  	| Instantiating (655) with all_256_0_298, all_256_1_299, all_256_2_300 yields:
% 27.39/7.71  	| (750) relation_composition(all_0_7_7, all_0_8_8) = all_256_2_300 & relation_dom(all_256_2_300) = all_256_1_299 & relation_dom(all_0_7_7) = all_256_0_298 & ( ~ in(all_94_0_80, all_43_0_34) |  ~ in(all_23_1_19, all_256_0_298) | in(all_23_1_19, all_256_1_299)) & ( ~ in(all_23_1_19, all_256_1_299) | (in(all_94_0_80, all_43_0_34) & in(all_23_1_19, all_256_0_298)))
% 27.39/7.71  	|
% 27.39/7.71  	| Applying alpha-rule on (750) yields:
% 27.39/7.71  	| (751) relation_dom(all_256_2_300) = all_256_1_299
% 27.39/7.71  	| (752)  ~ in(all_23_1_19, all_256_1_299) | (in(all_94_0_80, all_43_0_34) & in(all_23_1_19, all_256_0_298))
% 27.39/7.71  	| (753) relation_composition(all_0_7_7, all_0_8_8) = all_256_2_300
% 27.39/7.71  	| (754) relation_dom(all_0_7_7) = all_256_0_298
% 27.39/7.71  	| (755)  ~ in(all_94_0_80, all_43_0_34) |  ~ in(all_23_1_19, all_256_0_298) | in(all_23_1_19, all_256_1_299)
% 27.39/7.71  	|
% 27.39/7.71  	| Instantiating (659) with all_262_0_308, all_262_1_309, all_262_2_310 yields:
% 27.39/7.71  	| (756) relation_composition(all_0_7_7, all_0_8_8) = all_262_2_310 & relation_dom(all_262_2_310) = all_262_1_309 & relation_dom(all_0_7_7) = all_262_0_308 & ( ~ in(all_100_0_90, all_43_0_34) |  ~ in(all_23_2_20, all_262_0_308) | in(all_23_2_20, all_262_1_309)) & ( ~ in(all_23_2_20, all_262_1_309) | (in(all_100_0_90, all_43_0_34) & in(all_23_2_20, all_262_0_308)))
% 27.39/7.71  	|
% 27.39/7.71  	| Applying alpha-rule on (756) yields:
% 27.39/7.71  	| (757) relation_composition(all_0_7_7, all_0_8_8) = all_262_2_310
% 27.39/7.71  	| (758) relation_dom(all_0_7_7) = all_262_0_308
% 27.39/7.71  	| (759)  ~ in(all_100_0_90, all_43_0_34) |  ~ in(all_23_2_20, all_262_0_308) | in(all_23_2_20, all_262_1_309)
% 27.39/7.71  	| (760) relation_dom(all_262_2_310) = all_262_1_309
% 27.39/7.71  	| (761)  ~ in(all_23_2_20, all_262_1_309) | (in(all_100_0_90, all_43_0_34) & in(all_23_2_20, all_262_0_308))
% 27.39/7.71  	|
% 27.39/7.71  	| Instantiating (658) with all_264_0_311, all_264_1_312, all_264_2_313 yields:
% 27.39/7.71  	| (762) relation_composition(all_0_7_7, all_0_7_7) = all_264_2_313 & relation_dom(all_264_2_313) = all_264_1_312 & relation_dom(all_0_7_7) = all_264_0_311 & ( ~ in(all_100_0_90, all_23_3_21) |  ~ in(all_23_2_20, all_264_0_311) | in(all_23_2_20, all_264_1_312)) & ( ~ in(all_23_2_20, all_264_1_312) | (in(all_100_0_90, all_23_3_21) & in(all_23_2_20, all_264_0_311)))
% 27.39/7.71  	|
% 27.39/7.71  	| Applying alpha-rule on (762) yields:
% 27.39/7.71  	| (763) relation_dom(all_264_2_313) = all_264_1_312
% 27.82/7.71  	| (764)  ~ in(all_23_2_20, all_264_1_312) | (in(all_100_0_90, all_23_3_21) & in(all_23_2_20, all_264_0_311))
% 27.82/7.71  	| (765)  ~ in(all_100_0_90, all_23_3_21) |  ~ in(all_23_2_20, all_264_0_311) | in(all_23_2_20, all_264_1_312)
% 27.82/7.71  	| (766) relation_dom(all_0_7_7) = all_264_0_311
% 27.82/7.71  	| (767) relation_composition(all_0_7_7, all_0_7_7) = all_264_2_313
% 27.82/7.71  	|
% 27.82/7.71  	| Instantiating (694) with all_308_0_370, all_308_1_371, all_308_2_372 yields:
% 27.82/7.71  	| (768) relation_composition(all_0_7_7, all_39_2_30) = all_308_2_372 & relation_dom(all_308_2_372) = all_308_1_371 & relation_dom(all_0_7_7) = all_308_0_370 & ( ~ in(all_100_0_90, all_39_1_29) |  ~ in(all_23_2_20, all_308_0_370) | in(all_23_2_20, all_308_1_371)) & ( ~ in(all_23_2_20, all_308_1_371) | (in(all_100_0_90, all_39_1_29) & in(all_23_2_20, all_308_0_370)))
% 27.82/7.71  	|
% 27.82/7.71  	| Applying alpha-rule on (768) yields:
% 27.82/7.71  	| (769) relation_composition(all_0_7_7, all_39_2_30) = all_308_2_372
% 27.82/7.71  	| (770) relation_dom(all_308_2_372) = all_308_1_371
% 27.82/7.71  	| (771)  ~ in(all_100_0_90, all_39_1_29) |  ~ in(all_23_2_20, all_308_0_370) | in(all_23_2_20, all_308_1_371)
% 27.82/7.71  	| (772) relation_dom(all_0_7_7) = all_308_0_370
% 27.82/7.71  	| (773)  ~ in(all_23_2_20, all_308_1_371) | (in(all_100_0_90, all_39_1_29) & in(all_23_2_20, all_308_0_370))
% 27.82/7.71  	|
% 27.82/7.71  	| Instantiating (693) with all_310_0_373, all_310_1_374, all_310_2_375 yields:
% 27.82/7.71  	| (774) relation_composition(all_0_7_7, all_39_2_30) = all_310_2_375 & relation_dom(all_310_2_375) = all_310_1_374 & relation_dom(all_0_7_7) = all_310_0_373 & ( ~ in(all_94_0_80, all_39_1_29) |  ~ in(all_23_1_19, all_310_0_373) | in(all_23_1_19, all_310_1_374)) & ( ~ in(all_23_1_19, all_310_1_374) | (in(all_94_0_80, all_39_1_29) & in(all_23_1_19, all_310_0_373)))
% 27.82/7.71  	|
% 27.82/7.71  	| Applying alpha-rule on (774) yields:
% 27.82/7.71  	| (775) relation_dom(all_310_2_375) = all_310_1_374
% 27.82/7.71  	| (776)  ~ in(all_23_1_19, all_310_1_374) | (in(all_94_0_80, all_39_1_29) & in(all_23_1_19, all_310_0_373))
% 27.82/7.71  	| (777) relation_composition(all_0_7_7, all_39_2_30) = all_310_2_375
% 27.82/7.71  	| (778) relation_dom(all_0_7_7) = all_310_0_373
% 27.82/7.71  	| (779)  ~ in(all_94_0_80, all_39_1_29) |  ~ in(all_23_1_19, all_310_0_373) | in(all_23_1_19, all_310_1_374)
% 27.82/7.71  	|
% 27.82/7.71  	| Instantiating (695) with all_312_0_376, all_312_1_377, all_312_2_378 yields:
% 27.82/7.71  	| (780) relation_composition(all_0_7_7, all_39_2_30) = all_312_2_378 & relation_dom(all_312_2_378) = all_312_1_377 & relation_dom(all_0_7_7) = all_312_0_376 & ( ~ in(all_98_0_87, all_39_1_29) |  ~ in(all_11_0_17, all_312_0_376) | in(all_11_0_17, all_312_1_377)) & ( ~ in(all_11_0_17, all_312_1_377) | (in(all_98_0_87, all_39_1_29) & in(all_11_0_17, all_312_0_376)))
% 27.82/7.71  	|
% 27.82/7.71  	| Applying alpha-rule on (780) yields:
% 27.82/7.71  	| (781)  ~ in(all_98_0_87, all_39_1_29) |  ~ in(all_11_0_17, all_312_0_376) | in(all_11_0_17, all_312_1_377)
% 27.82/7.71  	| (782)  ~ in(all_11_0_17, all_312_1_377) | (in(all_98_0_87, all_39_1_29) & in(all_11_0_17, all_312_0_376))
% 27.82/7.71  	| (783) relation_dom(all_0_7_7) = all_312_0_376
% 27.82/7.71  	| (784) relation_composition(all_0_7_7, all_39_2_30) = all_312_2_378
% 27.82/7.71  	| (785) relation_dom(all_312_2_378) = all_312_1_377
% 27.82/7.71  	|
% 27.82/7.71  	| Instantiating (692) with all_343_0_419, all_343_1_420, all_343_2_421 yields:
% 27.82/7.71  	| (786) relation_composition(all_0_7_7, all_39_2_30) = all_343_2_421 & relation_dom(all_343_2_421) = all_343_1_420 & relation_dom(all_0_7_7) = all_343_0_419 & ( ~ in(all_88_0_70, all_39_1_29) |  ~ in(all_88_1_71, all_343_0_419) | in(all_88_1_71, all_343_1_420)) & ( ~ in(all_88_1_71, all_343_1_420) | (in(all_88_0_70, all_39_1_29) & in(all_88_1_71, all_343_0_419)))
% 27.82/7.71  	|
% 27.82/7.71  	| Applying alpha-rule on (786) yields:
% 27.82/7.71  	| (787)  ~ in(all_88_0_70, all_39_1_29) |  ~ in(all_88_1_71, all_343_0_419) | in(all_88_1_71, all_343_1_420)
% 27.82/7.72  	| (788) relation_dom(all_0_7_7) = all_343_0_419
% 27.82/7.72  	| (789) relation_composition(all_0_7_7, all_39_2_30) = all_343_2_421
% 27.82/7.72  	| (790) relation_dom(all_343_2_421) = all_343_1_420
% 27.82/7.72  	| (791)  ~ in(all_88_1_71, all_343_1_420) | (in(all_88_0_70, all_39_1_29) & in(all_88_1_71, all_343_0_419))
% 27.82/7.72  	|
% 27.82/7.72  	| Instantiating (691) with all_373_0_464, all_373_1_465, all_373_2_466 yields:
% 27.82/7.72  	| (792) relation_composition(all_0_7_7, all_39_2_30) = all_373_2_466 & relation_dom(all_373_2_466) = all_373_1_465 & relation_dom(all_0_7_7) = all_373_0_464 & ( ~ in(all_23_2_20, all_39_1_29) |  ~ in(all_5_0_14, all_373_0_464) | in(all_5_0_14, all_373_1_465)) & ( ~ in(all_5_0_14, all_373_1_465) | (in(all_23_2_20, all_39_1_29) & in(all_5_0_14, all_373_0_464)))
% 27.82/7.72  	|
% 27.82/7.72  	| Applying alpha-rule on (792) yields:
% 27.82/7.72  	| (793) relation_dom(all_373_2_466) = all_373_1_465
% 27.82/7.72  	| (794) relation_dom(all_0_7_7) = all_373_0_464
% 27.82/7.72  	| (795)  ~ in(all_5_0_14, all_373_1_465) | (in(all_23_2_20, all_39_1_29) & in(all_5_0_14, all_373_0_464))
% 27.82/7.72  	| (796)  ~ in(all_23_2_20, all_39_1_29) |  ~ in(all_5_0_14, all_373_0_464) | in(all_5_0_14, all_373_1_465)
% 27.82/7.72  	| (797) relation_composition(all_0_7_7, all_39_2_30) = all_373_2_466
% 27.82/7.72  	|
% 27.82/7.72  	| Instantiating (690) with all_375_0_467, all_375_1_468, all_375_2_469 yields:
% 27.82/7.72  	| (798) relation_composition(all_0_7_7, all_39_2_30) = all_375_2_469 & relation_dom(all_375_2_469) = all_375_1_468 & relation_dom(all_0_7_7) = all_375_0_467 & ( ~ in(all_39_0_28, all_39_1_29) |  ~ in(all_7_0_15, all_375_0_467) | in(all_7_0_15, all_375_1_468)) & ( ~ in(all_7_0_15, all_375_1_468) | (in(all_39_0_28, all_39_1_29) & in(all_7_0_15, all_375_0_467)))
% 27.82/7.72  	|
% 27.82/7.72  	| Applying alpha-rule on (798) yields:
% 27.82/7.72  	| (799)  ~ in(all_7_0_15, all_375_1_468) | (in(all_39_0_28, all_39_1_29) & in(all_7_0_15, all_375_0_467))
% 27.82/7.72  	| (800) relation_composition(all_0_7_7, all_39_2_30) = all_375_2_469
% 27.82/7.72  	| (801) relation_dom(all_375_2_469) = all_375_1_468
% 27.82/7.72  	| (802)  ~ in(all_39_0_28, all_39_1_29) |  ~ in(all_7_0_15, all_375_0_467) | in(all_7_0_15, all_375_1_468)
% 27.82/7.72  	| (803) relation_dom(all_0_7_7) = all_375_0_467
% 27.82/7.72  	|
% 27.82/7.72  	| Instantiating (689) with all_381_0_476, all_381_1_477, all_381_2_478 yields:
% 27.82/7.72  	| (804) relation_composition(all_0_7_7, all_39_2_30) = all_381_2_478 & relation_dom(all_381_2_478) = all_381_1_477 & relation_dom(all_0_7_7) = all_381_0_476 & ( ~ in(all_70_0_67, all_381_0_476) |  ~ in(all_0_11_11, all_39_1_29) | in(all_70_0_67, all_381_1_477)) & ( ~ in(all_70_0_67, all_381_1_477) | (in(all_70_0_67, all_381_0_476) & in(all_0_11_11, all_39_1_29)))
% 27.82/7.72  	|
% 27.82/7.72  	| Applying alpha-rule on (804) yields:
% 27.82/7.72  	| (805) relation_dom(all_381_2_478) = all_381_1_477
% 27.82/7.72  	| (806) relation_dom(all_0_7_7) = all_381_0_476
% 27.82/7.72  	| (807)  ~ in(all_70_0_67, all_381_1_477) | (in(all_70_0_67, all_381_0_476) & in(all_0_11_11, all_39_1_29))
% 27.82/7.72  	| (808)  ~ in(all_70_0_67, all_381_0_476) |  ~ in(all_0_11_11, all_39_1_29) | in(all_70_0_67, all_381_1_477)
% 27.82/7.72  	| (809) relation_composition(all_0_7_7, all_39_2_30) = all_381_2_478
% 27.82/7.72  	|
% 27.82/7.72  	| Instantiating (697) with all_389_0_488, all_389_1_489, all_389_2_490 yields:
% 27.82/7.72  	| (810) relation_composition(all_0_7_7, all_37_2_27) = all_389_2_490 & relation_dom(all_389_2_490) = all_389_1_489 & relation_dom(all_0_7_7) = all_389_0_488 & ( ~ in(all_39_0_28, all_37_1_26) |  ~ in(all_7_0_15, all_389_0_488) | in(all_7_0_15, all_389_1_489)) & ( ~ in(all_7_0_15, all_389_1_489) | (in(all_39_0_28, all_37_1_26) & in(all_7_0_15, all_389_0_488)))
% 27.82/7.72  	|
% 27.82/7.72  	| Applying alpha-rule on (810) yields:
% 27.82/7.72  	| (811) relation_dom(all_389_2_490) = all_389_1_489
% 27.82/7.72  	| (812) relation_dom(all_0_7_7) = all_389_0_488
% 27.82/7.72  	| (813)  ~ in(all_7_0_15, all_389_1_489) | (in(all_39_0_28, all_37_1_26) & in(all_7_0_15, all_389_0_488))
% 27.82/7.72  	| (814)  ~ in(all_39_0_28, all_37_1_26) |  ~ in(all_7_0_15, all_389_0_488) | in(all_7_0_15, all_389_1_489)
% 27.82/7.72  	| (815) relation_composition(all_0_7_7, all_37_2_27) = all_389_2_490
% 27.82/7.72  	|
% 27.82/7.72  	| Instantiating (696) with all_395_0_497, all_395_1_498, all_395_2_499 yields:
% 27.82/7.72  	| (816) relation_composition(all_0_7_7, all_37_2_27) = all_395_2_499 & relation_dom(all_395_2_499) = all_395_1_498 & relation_dom(all_0_7_7) = all_395_0_497 & ( ~ in(all_70_0_67, all_395_0_497) |  ~ in(all_0_11_11, all_37_1_26) | in(all_70_0_67, all_395_1_498)) & ( ~ in(all_70_0_67, all_395_1_498) | (in(all_70_0_67, all_395_0_497) & in(all_0_11_11, all_37_1_26)))
% 27.82/7.72  	|
% 27.82/7.72  	| Applying alpha-rule on (816) yields:
% 27.82/7.72  	| (817)  ~ in(all_70_0_67, all_395_0_497) |  ~ in(all_0_11_11, all_37_1_26) | in(all_70_0_67, all_395_1_498)
% 27.82/7.72  	| (818) relation_dom(all_0_7_7) = all_395_0_497
% 27.82/7.72  	| (819)  ~ in(all_70_0_67, all_395_1_498) | (in(all_70_0_67, all_395_0_497) & in(all_0_11_11, all_37_1_26))
% 27.82/7.72  	| (820) relation_composition(all_0_7_7, all_37_2_27) = all_395_2_499
% 27.82/7.72  	| (821) relation_dom(all_395_2_499) = all_395_1_498
% 27.82/7.72  	|
% 27.82/7.72  	| Instantiating (688) with all_410_0_516, all_410_1_517, all_410_2_518 yields:
% 27.82/7.72  	| (822) relation_composition(all_0_7_7, all_43_2_36) = all_410_2_518 & relation_dom(all_410_2_518) = all_410_1_517 & relation_dom(all_0_7_7) = all_410_0_516 & ( ~ in(all_98_0_87, all_43_1_35) |  ~ in(all_11_0_17, all_410_0_516) | in(all_11_0_17, all_410_1_517)) & ( ~ in(all_11_0_17, all_410_1_517) | (in(all_98_0_87, all_43_1_35) & in(all_11_0_17, all_410_0_516)))
% 27.82/7.72  	|
% 27.82/7.72  	| Applying alpha-rule on (822) yields:
% 27.82/7.72  	| (823)  ~ in(all_11_0_17, all_410_1_517) | (in(all_98_0_87, all_43_1_35) & in(all_11_0_17, all_410_0_516))
% 27.82/7.72  	| (824) relation_composition(all_0_7_7, all_43_2_36) = all_410_2_518
% 27.82/7.72  	| (825)  ~ in(all_98_0_87, all_43_1_35) |  ~ in(all_11_0_17, all_410_0_516) | in(all_11_0_17, all_410_1_517)
% 27.82/7.72  	| (826) relation_dom(all_410_2_518) = all_410_1_517
% 27.82/7.72  	| (827) relation_dom(all_0_7_7) = all_410_0_516
% 27.82/7.72  	|
% 27.82/7.72  	| Instantiating (684) with all_450_0_576, all_450_1_577, all_450_2_578 yields:
% 27.82/7.72  	| (828) relation_composition(all_0_7_7, all_43_2_36) = all_450_2_578 & relation_dom(all_450_2_578) = all_450_1_577 & relation_dom(all_0_7_7) = all_450_0_576 & ( ~ in(all_23_2_20, all_43_1_35) |  ~ in(all_5_0_14, all_450_0_576) | in(all_5_0_14, all_450_1_577)) & ( ~ in(all_5_0_14, all_450_1_577) | (in(all_23_2_20, all_43_1_35) & in(all_5_0_14, all_450_0_576)))
% 27.82/7.72  	|
% 27.82/7.72  	| Applying alpha-rule on (828) yields:
% 27.82/7.72  	| (829) relation_dom(all_0_7_7) = all_450_0_576
% 27.82/7.72  	| (830)  ~ in(all_23_2_20, all_43_1_35) |  ~ in(all_5_0_14, all_450_0_576) | in(all_5_0_14, all_450_1_577)
% 27.82/7.72  	| (831) relation_dom(all_450_2_578) = all_450_1_577
% 27.82/7.72  	| (832)  ~ in(all_5_0_14, all_450_1_577) | (in(all_23_2_20, all_43_1_35) & in(all_5_0_14, all_450_0_576))
% 27.82/7.72  	| (833) relation_composition(all_0_7_7, all_43_2_36) = all_450_2_578
% 27.82/7.72  	|
% 27.82/7.72  	| Instantiating (683) with all_452_0_579, all_452_1_580, all_452_2_581 yields:
% 27.82/7.72  	| (834) relation_composition(all_0_7_7, all_43_2_36) = all_452_2_581 & relation_dom(all_452_2_581) = all_452_1_580 & relation_dom(all_0_7_7) = all_452_0_579 & ( ~ in(all_39_0_28, all_43_1_35) |  ~ in(all_7_0_15, all_452_0_579) | in(all_7_0_15, all_452_1_580)) & ( ~ in(all_7_0_15, all_452_1_580) | (in(all_39_0_28, all_43_1_35) & in(all_7_0_15, all_452_0_579)))
% 27.82/7.72  	|
% 27.82/7.72  	| Applying alpha-rule on (834) yields:
% 27.82/7.72  	| (835) relation_dom(all_0_7_7) = all_452_0_579
% 27.82/7.72  	| (836) relation_dom(all_452_2_581) = all_452_1_580
% 27.82/7.72  	| (837) relation_composition(all_0_7_7, all_43_2_36) = all_452_2_581
% 27.82/7.72  	| (838)  ~ in(all_7_0_15, all_452_1_580) | (in(all_39_0_28, all_43_1_35) & in(all_7_0_15, all_452_0_579))
% 27.82/7.72  	| (839)  ~ in(all_39_0_28, all_43_1_35) |  ~ in(all_7_0_15, all_452_0_579) | in(all_7_0_15, all_452_1_580)
% 27.82/7.72  	|
% 27.82/7.72  	| Instantiating (682) with all_466_0_600, all_466_1_601, all_466_2_602 yields:
% 27.82/7.72  	| (840) relation_composition(all_0_7_7, all_43_2_36) = all_466_2_602 & relation_dom(all_466_2_602) = all_466_1_601 & relation_dom(all_0_7_7) = all_466_0_600 & ( ~ in(all_70_0_67, all_466_0_600) |  ~ in(all_0_11_11, all_43_1_35) | in(all_70_0_67, all_466_1_601)) & ( ~ in(all_70_0_67, all_466_1_601) | (in(all_70_0_67, all_466_0_600) & in(all_0_11_11, all_43_1_35)))
% 27.82/7.72  	|
% 27.82/7.72  	| Applying alpha-rule on (840) yields:
% 27.82/7.72  	| (841) relation_dom(all_466_2_602) = all_466_1_601
% 27.82/7.72  	| (842)  ~ in(all_70_0_67, all_466_1_601) | (in(all_70_0_67, all_466_0_600) & in(all_0_11_11, all_43_1_35))
% 27.82/7.72  	| (843) relation_composition(all_0_7_7, all_43_2_36) = all_466_2_602
% 27.82/7.72  	| (844) relation_dom(all_0_7_7) = all_466_0_600
% 27.82/7.73  	| (845)  ~ in(all_70_0_67, all_466_0_600) |  ~ in(all_0_11_11, all_43_1_35) | in(all_70_0_67, all_466_1_601)
% 27.82/7.73  	|
% 27.82/7.73  	| Instantiating (687) with all_484_0_627, all_484_1_628, all_484_2_629 yields:
% 27.82/7.73  	| (846) relation_composition(all_0_7_7, all_43_2_36) = all_484_2_629 & relation_dom(all_484_2_629) = all_484_1_628 & relation_dom(all_0_7_7) = all_484_0_627 & ( ~ in(all_100_0_90, all_43_1_35) |  ~ in(all_23_2_20, all_484_0_627) | in(all_23_2_20, all_484_1_628)) & ( ~ in(all_23_2_20, all_484_1_628) | (in(all_100_0_90, all_43_1_35) & in(all_23_2_20, all_484_0_627)))
% 27.82/7.73  	|
% 27.82/7.73  	| Applying alpha-rule on (846) yields:
% 27.82/7.73  	| (847) relation_dom(all_484_2_629) = all_484_1_628
% 27.82/7.73  	| (848) relation_dom(all_0_7_7) = all_484_0_627
% 27.82/7.73  	| (849)  ~ in(all_100_0_90, all_43_1_35) |  ~ in(all_23_2_20, all_484_0_627) | in(all_23_2_20, all_484_1_628)
% 27.82/7.73  	| (850)  ~ in(all_23_2_20, all_484_1_628) | (in(all_100_0_90, all_43_1_35) & in(all_23_2_20, all_484_0_627))
% 27.82/7.73  	| (851) relation_composition(all_0_7_7, all_43_2_36) = all_484_2_629
% 27.82/7.73  	|
% 27.82/7.73  	| Instantiating (686) with all_486_0_630, all_486_1_631, all_486_2_632 yields:
% 27.82/7.73  	| (852) relation_composition(all_0_7_7, all_43_2_36) = all_486_2_632 & relation_dom(all_486_2_632) = all_486_1_631 & relation_dom(all_0_7_7) = all_486_0_630 & ( ~ in(all_94_0_80, all_43_1_35) |  ~ in(all_23_1_19, all_486_0_630) | in(all_23_1_19, all_486_1_631)) & ( ~ in(all_23_1_19, all_486_1_631) | (in(all_94_0_80, all_43_1_35) & in(all_23_1_19, all_486_0_630)))
% 27.82/7.73  	|
% 27.82/7.73  	| Applying alpha-rule on (852) yields:
% 27.82/7.73  	| (853)  ~ in(all_94_0_80, all_43_1_35) |  ~ in(all_23_1_19, all_486_0_630) | in(all_23_1_19, all_486_1_631)
% 27.82/7.73  	| (854) relation_dom(all_0_7_7) = all_486_0_630
% 27.82/7.73  	| (855) relation_composition(all_0_7_7, all_43_2_36) = all_486_2_632
% 27.82/7.73  	| (856) relation_dom(all_486_2_632) = all_486_1_631
% 27.82/7.73  	| (857)  ~ in(all_23_1_19, all_486_1_631) | (in(all_94_0_80, all_43_1_35) & in(all_23_1_19, all_486_0_630))
% 27.82/7.73  	|
% 27.82/7.73  	| Instantiating (685) with all_488_0_633, all_488_1_634, all_488_2_635 yields:
% 27.82/7.73  	| (858) relation_composition(all_0_7_7, all_43_2_36) = all_488_2_635 & relation_dom(all_488_2_635) = all_488_1_634 & relation_dom(all_0_7_7) = all_488_0_633 & ( ~ in(all_88_0_70, all_43_1_35) |  ~ in(all_88_1_71, all_488_0_633) | in(all_88_1_71, all_488_1_634)) & ( ~ in(all_88_1_71, all_488_1_634) | (in(all_88_0_70, all_43_1_35) & in(all_88_1_71, all_488_0_633)))
% 27.82/7.73  	|
% 27.82/7.73  	| Applying alpha-rule on (858) yields:
% 27.82/7.73  	| (859) relation_dom(all_488_2_635) = all_488_1_634
% 27.82/7.73  	| (860) relation_composition(all_0_7_7, all_43_2_36) = all_488_2_635
% 27.82/7.73  	| (861)  ~ in(all_88_0_70, all_43_1_35) |  ~ in(all_88_1_71, all_488_0_633) | in(all_88_1_71, all_488_1_634)
% 27.82/7.73  	| (862)  ~ in(all_88_1_71, all_488_1_634) | (in(all_88_0_70, all_43_1_35) & in(all_88_1_71, all_488_0_633))
% 27.82/7.73  	| (863) relation_dom(all_0_7_7) = all_488_0_633
% 27.82/7.73  	|
% 27.82/7.73  	| Instantiating (698) with all_530_0_696, all_530_1_697, all_530_2_698 yields:
% 27.82/7.73  	| (864) relation_composition(all_0_7_7, all_37_2_27) = all_530_2_698 & relation_dom(all_530_2_698) = all_530_1_697 & relation_dom(all_0_7_7) = all_530_0_696 & ( ~ in(all_23_2_20, all_37_1_26) |  ~ in(all_5_0_14, all_530_0_696) | in(all_5_0_14, all_530_1_697)) & ( ~ in(all_5_0_14, all_530_1_697) | (in(all_23_2_20, all_37_1_26) & in(all_5_0_14, all_530_0_696)))
% 27.82/7.73  	|
% 27.82/7.73  	| Applying alpha-rule on (864) yields:
% 27.82/7.73  	| (865) relation_dom(all_0_7_7) = all_530_0_696
% 27.82/7.73  	| (866) relation_dom(all_530_2_698) = all_530_1_697
% 27.82/7.73  	| (867)  ~ in(all_23_2_20, all_37_1_26) |  ~ in(all_5_0_14, all_530_0_696) | in(all_5_0_14, all_530_1_697)
% 27.82/7.73  	| (868)  ~ in(all_5_0_14, all_530_1_697) | (in(all_23_2_20, all_37_1_26) & in(all_5_0_14, all_530_0_696))
% 27.82/7.73  	| (869) relation_composition(all_0_7_7, all_37_2_27) = all_530_2_698
% 27.82/7.73  	|
% 27.82/7.73  	| Instantiating (702) with all_532_0_699, all_532_1_700, all_532_2_701 yields:
% 27.82/7.73  	| (870) relation_composition(all_0_7_7, all_37_2_27) = all_532_2_701 & relation_dom(all_532_2_701) = all_532_1_700 & relation_dom(all_0_7_7) = all_532_0_699 & ( ~ in(all_98_0_87, all_37_1_26) |  ~ in(all_11_0_17, all_532_0_699) | in(all_11_0_17, all_532_1_700)) & ( ~ in(all_11_0_17, all_532_1_700) | (in(all_98_0_87, all_37_1_26) & in(all_11_0_17, all_532_0_699)))
% 27.82/7.73  	|
% 27.82/7.73  	| Applying alpha-rule on (870) yields:
% 27.82/7.73  	| (871)  ~ in(all_11_0_17, all_532_1_700) | (in(all_98_0_87, all_37_1_26) & in(all_11_0_17, all_532_0_699))
% 27.82/7.73  	| (872)  ~ in(all_98_0_87, all_37_1_26) |  ~ in(all_11_0_17, all_532_0_699) | in(all_11_0_17, all_532_1_700)
% 27.82/7.73  	| (873) relation_dom(all_532_2_701) = all_532_1_700
% 27.82/7.73  	| (874) relation_composition(all_0_7_7, all_37_2_27) = all_532_2_701
% 27.82/7.73  	| (875) relation_dom(all_0_7_7) = all_532_0_699
% 27.82/7.73  	|
% 27.82/7.73  	| Instantiating (701) with all_542_0_714, all_542_1_715, all_542_2_716 yields:
% 27.82/7.73  	| (876) relation_composition(all_0_7_7, all_37_2_27) = all_542_2_716 & relation_dom(all_542_2_716) = all_542_1_715 & relation_dom(all_0_7_7) = all_542_0_714 & ( ~ in(all_100_0_90, all_37_1_26) |  ~ in(all_23_2_20, all_542_0_714) | in(all_23_2_20, all_542_1_715)) & ( ~ in(all_23_2_20, all_542_1_715) | (in(all_100_0_90, all_37_1_26) & in(all_23_2_20, all_542_0_714)))
% 27.82/7.73  	|
% 27.82/7.73  	| Applying alpha-rule on (876) yields:
% 27.82/7.73  	| (877) relation_composition(all_0_7_7, all_37_2_27) = all_542_2_716
% 27.82/7.73  	| (878) relation_dom(all_542_2_716) = all_542_1_715
% 27.82/7.73  	| (879)  ~ in(all_23_2_20, all_542_1_715) | (in(all_100_0_90, all_37_1_26) & in(all_23_2_20, all_542_0_714))
% 27.82/7.73  	| (880)  ~ in(all_100_0_90, all_37_1_26) |  ~ in(all_23_2_20, all_542_0_714) | in(all_23_2_20, all_542_1_715)
% 27.82/7.73  	| (881) relation_dom(all_0_7_7) = all_542_0_714
% 27.82/7.73  	|
% 27.82/7.73  	| Instantiating (700) with all_544_0_717, all_544_1_718, all_544_2_719 yields:
% 27.82/7.73  	| (882) relation_composition(all_0_7_7, all_37_2_27) = all_544_2_719 & relation_dom(all_544_2_719) = all_544_1_718 & relation_dom(all_0_7_7) = all_544_0_717 & ( ~ in(all_94_0_80, all_37_1_26) |  ~ in(all_23_1_19, all_544_0_717) | in(all_23_1_19, all_544_1_718)) & ( ~ in(all_23_1_19, all_544_1_718) | (in(all_94_0_80, all_37_1_26) & in(all_23_1_19, all_544_0_717)))
% 27.82/7.73  	|
% 27.82/7.73  	| Applying alpha-rule on (882) yields:
% 27.82/7.73  	| (883)  ~ in(all_94_0_80, all_37_1_26) |  ~ in(all_23_1_19, all_544_0_717) | in(all_23_1_19, all_544_1_718)
% 27.82/7.73  	| (884) relation_composition(all_0_7_7, all_37_2_27) = all_544_2_719
% 27.82/7.73  	| (885) relation_dom(all_0_7_7) = all_544_0_717
% 27.82/7.73  	| (886)  ~ in(all_23_1_19, all_544_1_718) | (in(all_94_0_80, all_37_1_26) & in(all_23_1_19, all_544_0_717))
% 27.82/7.73  	| (887) relation_dom(all_544_2_719) = all_544_1_718
% 27.82/7.73  	|
% 27.82/7.73  	| Instantiating (699) with all_546_0_720, all_546_1_721, all_546_2_722 yields:
% 27.82/7.73  	| (888) relation_composition(all_0_7_7, all_37_2_27) = all_546_2_722 & relation_dom(all_546_2_722) = all_546_1_721 & relation_dom(all_0_7_7) = all_546_0_720 & ( ~ in(all_88_0_70, all_37_1_26) |  ~ in(all_88_1_71, all_546_0_720) | in(all_88_1_71, all_546_1_721)) & ( ~ in(all_88_1_71, all_546_1_721) | (in(all_88_0_70, all_37_1_26) & in(all_88_1_71, all_546_0_720)))
% 27.82/7.73  	|
% 27.82/7.73  	| Applying alpha-rule on (888) yields:
% 27.82/7.73  	| (889)  ~ in(all_88_1_71, all_546_1_721) | (in(all_88_0_70, all_37_1_26) & in(all_88_1_71, all_546_0_720))
% 27.82/7.73  	| (890)  ~ in(all_88_0_70, all_37_1_26) |  ~ in(all_88_1_71, all_546_0_720) | in(all_88_1_71, all_546_1_721)
% 27.82/7.73  	| (891) relation_dom(all_0_7_7) = all_546_0_720
% 27.82/7.73  	| (892) relation_dom(all_546_2_722) = all_546_1_721
% 27.82/7.73  	| (893) relation_composition(all_0_7_7, all_37_2_27) = all_546_2_722
% 27.82/7.73  	|
% 27.82/7.73  	| Instantiating (681) with all_556_0_735, all_556_1_736, all_556_2_737 yields:
% 27.82/7.73  	| (894) relation_composition(all_0_7_7, all_45_2_39) = all_556_2_737 & relation_dom(all_556_2_737) = all_556_1_736 & relation_dom(all_0_7_7) = all_556_0_735 & ( ~ in(all_98_0_87, all_45_1_38) |  ~ in(all_11_0_17, all_556_0_735) | in(all_11_0_17, all_556_1_736)) & ( ~ in(all_11_0_17, all_556_1_736) | (in(all_98_0_87, all_45_1_38) & in(all_11_0_17, all_556_0_735)))
% 27.82/7.73  	|
% 27.82/7.73  	| Applying alpha-rule on (894) yields:
% 27.82/7.73  	| (895)  ~ in(all_98_0_87, all_45_1_38) |  ~ in(all_11_0_17, all_556_0_735) | in(all_11_0_17, all_556_1_736)
% 27.82/7.73  	| (896) relation_dom(all_556_2_737) = all_556_1_736
% 27.82/7.73  	| (897) relation_composition(all_0_7_7, all_45_2_39) = all_556_2_737
% 27.82/7.74  	| (898) relation_dom(all_0_7_7) = all_556_0_735
% 27.82/7.74  	| (899)  ~ in(all_11_0_17, all_556_1_736) | (in(all_98_0_87, all_45_1_38) & in(all_11_0_17, all_556_0_735))
% 27.82/7.74  	|
% 27.82/7.74  	| Instantiating (678) with all_564_0_747, all_564_1_748, all_564_2_749 yields:
% 27.82/7.74  	| (900) relation_composition(all_0_7_7, all_45_2_39) = all_564_2_749 & relation_dom(all_564_2_749) = all_564_1_748 & relation_dom(all_0_7_7) = all_564_0_747 & ( ~ in(all_88_0_70, all_45_1_38) |  ~ in(all_88_1_71, all_564_0_747) | in(all_88_1_71, all_564_1_748)) & ( ~ in(all_88_1_71, all_564_1_748) | (in(all_88_0_70, all_45_1_38) & in(all_88_1_71, all_564_0_747)))
% 27.82/7.74  	|
% 27.82/7.74  	| Applying alpha-rule on (900) yields:
% 27.82/7.74  	| (901)  ~ in(all_88_0_70, all_45_1_38) |  ~ in(all_88_1_71, all_564_0_747) | in(all_88_1_71, all_564_1_748)
% 27.82/7.74  	| (902)  ~ in(all_88_1_71, all_564_1_748) | (in(all_88_0_70, all_45_1_38) & in(all_88_1_71, all_564_0_747))
% 27.82/7.74  	| (903) relation_dom(all_0_7_7) = all_564_0_747
% 27.82/7.74  	| (904) relation_dom(all_564_2_749) = all_564_1_748
% 27.82/7.74  	| (905) relation_composition(all_0_7_7, all_45_2_39) = all_564_2_749
% 27.82/7.74  	|
% 27.82/7.74  	| Instantiating (667) with all_570_0_756, all_570_1_757, all_570_2_758 yields:
% 27.82/7.74  	| (906) relation_composition(all_0_8_8, all_0_10_10) = all_570_2_758 & relation_dom(all_570_2_758) = all_570_1_757 & apply(all_570_2_758, all_7_0_15) = all_570_0_756 & (all_570_0_756 = all_151_0_166 |  ~ in(all_7_0_15, all_570_1_757))
% 27.82/7.74  	|
% 27.82/7.74  	| Applying alpha-rule on (906) yields:
% 27.82/7.74  	| (907) relation_composition(all_0_8_8, all_0_10_10) = all_570_2_758
% 27.82/7.74  	| (908) relation_dom(all_570_2_758) = all_570_1_757
% 27.82/7.74  	| (909) apply(all_570_2_758, all_7_0_15) = all_570_0_756
% 27.82/7.74  	| (910) all_570_0_756 = all_151_0_166 |  ~ in(all_7_0_15, all_570_1_757)
% 27.82/7.74  	|
% 27.82/7.74  	| Instantiating (680) with all_578_0_768, all_578_1_769, all_578_2_770 yields:
% 27.82/7.74  	| (911) relation_composition(all_0_7_7, all_45_2_39) = all_578_2_770 & relation_dom(all_578_2_770) = all_578_1_769 & relation_dom(all_0_7_7) = all_578_0_768 & ( ~ in(all_100_0_90, all_45_1_38) |  ~ in(all_23_2_20, all_578_0_768) | in(all_23_2_20, all_578_1_769)) & ( ~ in(all_23_2_20, all_578_1_769) | (in(all_100_0_90, all_45_1_38) & in(all_23_2_20, all_578_0_768)))
% 27.82/7.74  	|
% 27.82/7.74  	| Applying alpha-rule on (911) yields:
% 27.82/7.74  	| (912)  ~ in(all_100_0_90, all_45_1_38) |  ~ in(all_23_2_20, all_578_0_768) | in(all_23_2_20, all_578_1_769)
% 27.82/7.74  	| (913) relation_dom(all_578_2_770) = all_578_1_769
% 27.82/7.74  	| (914)  ~ in(all_23_2_20, all_578_1_769) | (in(all_100_0_90, all_45_1_38) & in(all_23_2_20, all_578_0_768))
% 27.82/7.74  	| (915) relation_dom(all_0_7_7) = all_578_0_768
% 27.82/7.74  	| (916) relation_composition(all_0_7_7, all_45_2_39) = all_578_2_770
% 27.82/7.74  	|
% 27.82/7.74  	| Instantiating (679) with all_580_0_771, all_580_1_772, all_580_2_773 yields:
% 27.82/7.74  	| (917) relation_composition(all_0_7_7, all_45_2_39) = all_580_2_773 & relation_dom(all_580_2_773) = all_580_1_772 & relation_dom(all_0_7_7) = all_580_0_771 & ( ~ in(all_94_0_80, all_45_1_38) |  ~ in(all_23_1_19, all_580_0_771) | in(all_23_1_19, all_580_1_772)) & ( ~ in(all_23_1_19, all_580_1_772) | (in(all_94_0_80, all_45_1_38) & in(all_23_1_19, all_580_0_771)))
% 27.82/7.74  	|
% 27.82/7.74  	| Applying alpha-rule on (917) yields:
% 27.82/7.74  	| (918) relation_composition(all_0_7_7, all_45_2_39) = all_580_2_773
% 27.82/7.74  	| (919) relation_dom(all_580_2_773) = all_580_1_772
% 27.82/7.74  	| (920) relation_dom(all_0_7_7) = all_580_0_771
% 27.82/7.74  	| (921)  ~ in(all_23_1_19, all_580_1_772) | (in(all_94_0_80, all_45_1_38) & in(all_23_1_19, all_580_0_771))
% 27.82/7.74  	| (922)  ~ in(all_94_0_80, all_45_1_38) |  ~ in(all_23_1_19, all_580_0_771) | in(all_23_1_19, all_580_1_772)
% 27.82/7.74  	|
% 27.82/7.74  	| Instantiating (677) with all_604_0_800, all_604_1_801, all_604_2_802 yields:
% 27.82/7.74  	| (923) relation_composition(all_0_7_7, all_45_2_39) = all_604_2_802 & relation_dom(all_604_2_802) = all_604_1_801 & relation_dom(all_0_7_7) = all_604_0_800 & ( ~ in(all_23_2_20, all_45_1_38) |  ~ in(all_5_0_14, all_604_0_800) | in(all_5_0_14, all_604_1_801)) & ( ~ in(all_5_0_14, all_604_1_801) | (in(all_23_2_20, all_45_1_38) & in(all_5_0_14, all_604_0_800)))
% 27.82/7.74  	|
% 27.82/7.74  	| Applying alpha-rule on (923) yields:
% 27.82/7.74  	| (924) relation_dom(all_0_7_7) = all_604_0_800
% 27.82/7.74  	| (925) relation_composition(all_0_7_7, all_45_2_39) = all_604_2_802
% 27.82/7.74  	| (926) relation_dom(all_604_2_802) = all_604_1_801
% 27.82/7.74  	| (927)  ~ in(all_23_2_20, all_45_1_38) |  ~ in(all_5_0_14, all_604_0_800) | in(all_5_0_14, all_604_1_801)
% 27.82/7.74  	| (928)  ~ in(all_5_0_14, all_604_1_801) | (in(all_23_2_20, all_45_1_38) & in(all_5_0_14, all_604_0_800))
% 27.82/7.74  	|
% 27.82/7.74  	| Instantiating (676) with all_618_0_821, all_618_1_822, all_618_2_823 yields:
% 27.82/7.74  	| (929) relation_composition(all_0_7_7, all_45_2_39) = all_618_2_823 & relation_dom(all_618_2_823) = all_618_1_822 & relation_dom(all_0_7_7) = all_618_0_821 & ( ~ in(all_39_0_28, all_45_1_38) |  ~ in(all_7_0_15, all_618_0_821) | in(all_7_0_15, all_618_1_822)) & ( ~ in(all_7_0_15, all_618_1_822) | (in(all_39_0_28, all_45_1_38) & in(all_7_0_15, all_618_0_821)))
% 27.82/7.74  	|
% 27.82/7.74  	| Applying alpha-rule on (929) yields:
% 27.82/7.74  	| (930)  ~ in(all_7_0_15, all_618_1_822) | (in(all_39_0_28, all_45_1_38) & in(all_7_0_15, all_618_0_821))
% 27.82/7.74  	| (931) relation_dom(all_0_7_7) = all_618_0_821
% 27.82/7.74  	| (932)  ~ in(all_39_0_28, all_45_1_38) |  ~ in(all_7_0_15, all_618_0_821) | in(all_7_0_15, all_618_1_822)
% 27.82/7.74  	| (933) relation_dom(all_618_2_823) = all_618_1_822
% 27.82/7.74  	| (934) relation_composition(all_0_7_7, all_45_2_39) = all_618_2_823
% 27.82/7.74  	|
% 27.82/7.74  	| Instantiating (662) with all_622_0_827, all_622_1_828, all_622_2_829 yields:
% 27.82/7.74  	| (935) relation_composition(all_0_7_7, all_0_7_7) = all_622_2_829 & relation_dom(all_622_2_829) = all_622_1_828 & relation_dom(all_0_7_7) = all_622_0_827 & ( ~ in(all_98_0_87, all_23_3_21) |  ~ in(all_11_0_17, all_622_0_827) | in(all_11_0_17, all_622_1_828)) & ( ~ in(all_11_0_17, all_622_1_828) | (in(all_98_0_87, all_23_3_21) & in(all_11_0_17, all_622_0_827)))
% 27.82/7.74  	|
% 27.82/7.74  	| Applying alpha-rule on (935) yields:
% 27.82/7.74  	| (936) relation_dom(all_0_7_7) = all_622_0_827
% 27.82/7.74  	| (937) relation_composition(all_0_7_7, all_0_7_7) = all_622_2_829
% 27.82/7.74  	| (938) relation_dom(all_622_2_829) = all_622_1_828
% 27.82/7.74  	| (939)  ~ in(all_98_0_87, all_23_3_21) |  ~ in(all_11_0_17, all_622_0_827) | in(all_11_0_17, all_622_1_828)
% 27.82/7.74  	| (940)  ~ in(all_11_0_17, all_622_1_828) | (in(all_98_0_87, all_23_3_21) & in(all_11_0_17, all_622_0_827))
% 27.82/7.74  	|
% 27.82/7.74  	| Instantiating (661) with all_626_0_833, all_626_1_834, all_626_2_835 yields:
% 27.82/7.74  	| (941) relation_dom(all_0_7_7) = all_626_2_835 & apply(all_0_8_8, all_11_0_17) = all_626_1_834 & apply(all_0_10_10, all_626_1_834) = all_626_0_833 & (all_626_0_833 = all_98_0_87 |  ~ in(all_11_0_17, all_626_2_835))
% 27.82/7.74  	|
% 27.82/7.74  	| Applying alpha-rule on (941) yields:
% 27.82/7.74  	| (942) relation_dom(all_0_7_7) = all_626_2_835
% 27.82/7.74  	| (943) apply(all_0_8_8, all_11_0_17) = all_626_1_834
% 27.82/7.74  	| (944) apply(all_0_10_10, all_626_1_834) = all_626_0_833
% 27.82/7.74  	| (945) all_626_0_833 = all_98_0_87 |  ~ in(all_11_0_17, all_626_2_835)
% 27.82/7.74  	|
% 27.82/7.74  	| Instantiating (675) with all_630_0_839, all_630_1_840, all_630_2_841 yields:
% 27.82/7.74  	| (946) relation_composition(all_0_7_7, all_45_2_39) = all_630_2_841 & relation_dom(all_630_2_841) = all_630_1_840 & relation_dom(all_0_7_7) = all_630_0_839 & ( ~ in(all_70_0_67, all_630_0_839) |  ~ in(all_0_11_11, all_45_1_38) | in(all_70_0_67, all_630_1_840)) & ( ~ in(all_70_0_67, all_630_1_840) | (in(all_70_0_67, all_630_0_839) & in(all_0_11_11, all_45_1_38)))
% 27.82/7.74  	|
% 27.82/7.74  	| Applying alpha-rule on (946) yields:
% 27.82/7.74  	| (947) relation_dom(all_630_2_841) = all_630_1_840
% 27.82/7.74  	| (948)  ~ in(all_70_0_67, all_630_0_839) |  ~ in(all_0_11_11, all_45_1_38) | in(all_70_0_67, all_630_1_840)
% 27.82/7.74  	| (949) relation_composition(all_0_7_7, all_45_2_39) = all_630_2_841
% 27.82/7.75  	| (950) relation_dom(all_0_7_7) = all_630_0_839
% 27.82/7.75  	| (951)  ~ in(all_70_0_67, all_630_1_840) | (in(all_70_0_67, all_630_0_839) & in(all_0_11_11, all_45_1_38))
% 27.82/7.75  	|
% 27.82/7.75  	| Instantiating (673) with all_640_0_854, all_640_1_855, all_640_2_856 yields:
% 27.82/7.75  	| (952) relation_composition(all_0_7_7, all_57_2_50) = all_640_2_856 & relation_dom(all_640_2_856) = all_640_1_855 & relation_dom(all_0_7_7) = all_640_0_854 & ( ~ in(all_100_0_90, all_57_1_49) |  ~ in(all_23_2_20, all_640_0_854) | in(all_23_2_20, all_640_1_855)) & ( ~ in(all_23_2_20, all_640_1_855) | (in(all_100_0_90, all_57_1_49) & in(all_23_2_20, all_640_0_854)))
% 27.82/7.75  	|
% 27.82/7.75  	| Applying alpha-rule on (952) yields:
% 27.82/7.75  	| (953) relation_composition(all_0_7_7, all_57_2_50) = all_640_2_856
% 27.82/7.75  	| (954) relation_dom(all_0_7_7) = all_640_0_854
% 27.82/7.75  	| (955)  ~ in(all_23_2_20, all_640_1_855) | (in(all_100_0_90, all_57_1_49) & in(all_23_2_20, all_640_0_854))
% 27.82/7.75  	| (956)  ~ in(all_100_0_90, all_57_1_49) |  ~ in(all_23_2_20, all_640_0_854) | in(all_23_2_20, all_640_1_855)
% 27.82/7.75  	| (957) relation_dom(all_640_2_856) = all_640_1_855
% 27.82/7.75  	|
% 27.82/7.75  	| Instantiating (672) with all_642_0_857, all_642_1_858, all_642_2_859 yields:
% 27.82/7.75  	| (958) relation_composition(all_0_7_7, all_57_2_50) = all_642_2_859 & relation_dom(all_642_2_859) = all_642_1_858 & relation_dom(all_0_7_7) = all_642_0_857 & ( ~ in(all_94_0_80, all_57_1_49) |  ~ in(all_23_1_19, all_642_0_857) | in(all_23_1_19, all_642_1_858)) & ( ~ in(all_23_1_19, all_642_1_858) | (in(all_94_0_80, all_57_1_49) & in(all_23_1_19, all_642_0_857)))
% 27.82/7.75  	|
% 27.82/7.75  	| Applying alpha-rule on (958) yields:
% 27.82/7.75  	| (959)  ~ in(all_94_0_80, all_57_1_49) |  ~ in(all_23_1_19, all_642_0_857) | in(all_23_1_19, all_642_1_858)
% 27.82/7.75  	| (960)  ~ in(all_23_1_19, all_642_1_858) | (in(all_94_0_80, all_57_1_49) & in(all_23_1_19, all_642_0_857))
% 27.82/7.75  	| (961) relation_dom(all_0_7_7) = all_642_0_857
% 27.82/7.75  	| (962) relation_dom(all_642_2_859) = all_642_1_858
% 27.82/7.75  	| (963) relation_composition(all_0_7_7, all_57_2_50) = all_642_2_859
% 27.82/7.75  	|
% 27.82/7.75  	| Instantiating (671) with all_644_0_860, all_644_1_861, all_644_2_862 yields:
% 27.82/7.75  	| (964) relation_composition(all_0_7_7, all_57_2_50) = all_644_2_862 & relation_dom(all_644_2_862) = all_644_1_861 & relation_dom(all_0_7_7) = all_644_0_860 & ( ~ in(all_88_0_70, all_57_1_49) |  ~ in(all_88_1_71, all_644_0_860) | in(all_88_1_71, all_644_1_861)) & ( ~ in(all_88_1_71, all_644_1_861) | (in(all_88_0_70, all_57_1_49) & in(all_88_1_71, all_644_0_860)))
% 27.82/7.75  	|
% 27.82/7.75  	| Applying alpha-rule on (964) yields:
% 27.82/7.75  	| (965)  ~ in(all_88_0_70, all_57_1_49) |  ~ in(all_88_1_71, all_644_0_860) | in(all_88_1_71, all_644_1_861)
% 27.82/7.75  	| (966) relation_dom(all_644_2_862) = all_644_1_861
% 27.82/7.75  	| (967) relation_dom(all_0_7_7) = all_644_0_860
% 27.82/7.75  	| (968) relation_composition(all_0_7_7, all_57_2_50) = all_644_2_862
% 27.82/7.75  	| (969)  ~ in(all_88_1_71, all_644_1_861) | (in(all_88_0_70, all_57_1_49) & in(all_88_1_71, all_644_0_860))
% 27.82/7.75  	|
% 27.82/7.75  	| Instantiating (674) with all_650_0_869, all_650_1_870, all_650_2_871 yields:
% 27.82/7.75  	| (970) relation_composition(all_0_7_7, all_57_2_50) = all_650_2_871 & relation_dom(all_650_2_871) = all_650_1_870 & relation_dom(all_0_7_7) = all_650_0_869 & ( ~ in(all_98_0_87, all_57_1_49) |  ~ in(all_11_0_17, all_650_0_869) | in(all_11_0_17, all_650_1_870)) & ( ~ in(all_11_0_17, all_650_1_870) | (in(all_98_0_87, all_57_1_49) & in(all_11_0_17, all_650_0_869)))
% 27.82/7.75  	|
% 27.82/7.75  	| Applying alpha-rule on (970) yields:
% 27.82/7.75  	| (971)  ~ in(all_11_0_17, all_650_1_870) | (in(all_98_0_87, all_57_1_49) & in(all_11_0_17, all_650_0_869))
% 27.82/7.75  	| (972) relation_dom(all_0_7_7) = all_650_0_869
% 27.82/7.75  	| (973) relation_dom(all_650_2_871) = all_650_1_870
% 27.82/7.75  	| (974)  ~ in(all_98_0_87, all_57_1_49) |  ~ in(all_11_0_17, all_650_0_869) | in(all_11_0_17, all_650_1_870)
% 27.82/7.75  	| (975) relation_composition(all_0_7_7, all_57_2_50) = all_650_2_871
% 27.82/7.75  	|
% 27.82/7.75  	| Instantiating (670) with all_656_0_878, all_656_1_879, all_656_2_880 yields:
% 27.82/7.75  	| (976) relation_composition(all_0_7_7, all_57_2_50) = all_656_2_880 & relation_dom(all_656_2_880) = all_656_1_879 & relation_dom(all_0_7_7) = all_656_0_878 & ( ~ in(all_23_2_20, all_57_1_49) |  ~ in(all_5_0_14, all_656_0_878) | in(all_5_0_14, all_656_1_879)) & ( ~ in(all_5_0_14, all_656_1_879) | (in(all_23_2_20, all_57_1_49) & in(all_5_0_14, all_656_0_878)))
% 27.82/7.75  	|
% 27.82/7.75  	| Applying alpha-rule on (976) yields:
% 27.82/7.75  	| (977) relation_composition(all_0_7_7, all_57_2_50) = all_656_2_880
% 27.82/7.75  	| (978) relation_dom(all_656_2_880) = all_656_1_879
% 27.82/7.75  	| (979)  ~ in(all_5_0_14, all_656_1_879) | (in(all_23_2_20, all_57_1_49) & in(all_5_0_14, all_656_0_878))
% 27.82/7.75  	| (980)  ~ in(all_23_2_20, all_57_1_49) |  ~ in(all_5_0_14, all_656_0_878) | in(all_5_0_14, all_656_1_879)
% 27.82/7.75  	| (981) relation_dom(all_0_7_7) = all_656_0_878
% 27.82/7.75  	|
% 27.82/7.75  	| Instantiating (669) with all_660_0_884, all_660_1_885, all_660_2_886 yields:
% 27.82/7.75  	| (982) relation_composition(all_0_7_7, all_57_2_50) = all_660_2_886 & relation_dom(all_660_2_886) = all_660_1_885 & relation_dom(all_0_7_7) = all_660_0_884 & ( ~ in(all_39_0_28, all_57_1_49) |  ~ in(all_7_0_15, all_660_0_884) | in(all_7_0_15, all_660_1_885)) & ( ~ in(all_7_0_15, all_660_1_885) | (in(all_39_0_28, all_57_1_49) & in(all_7_0_15, all_660_0_884)))
% 27.82/7.75  	|
% 27.82/7.75  	| Applying alpha-rule on (982) yields:
% 27.82/7.75  	| (983) relation_dom(all_0_7_7) = all_660_0_884
% 27.82/7.75  	| (984)  ~ in(all_7_0_15, all_660_1_885) | (in(all_39_0_28, all_57_1_49) & in(all_7_0_15, all_660_0_884))
% 27.82/7.75  	| (985) relation_composition(all_0_7_7, all_57_2_50) = all_660_2_886
% 27.82/7.75  	| (986)  ~ in(all_39_0_28, all_57_1_49) |  ~ in(all_7_0_15, all_660_0_884) | in(all_7_0_15, all_660_1_885)
% 27.82/7.75  	| (987) relation_dom(all_660_2_886) = all_660_1_885
% 27.82/7.75  	|
% 27.82/7.75  	| Instantiating (668) with all_662_0_887, all_662_1_888, all_662_2_889 yields:
% 27.82/7.75  	| (988) relation_composition(all_0_7_7, all_57_2_50) = all_662_2_889 & relation_dom(all_662_2_889) = all_662_1_888 & relation_dom(all_0_7_7) = all_662_0_887 & ( ~ in(all_70_0_67, all_662_0_887) |  ~ in(all_0_11_11, all_57_1_49) | in(all_70_0_67, all_662_1_888)) & ( ~ in(all_70_0_67, all_662_1_888) | (in(all_70_0_67, all_662_0_887) & in(all_0_11_11, all_57_1_49)))
% 27.82/7.75  	|
% 27.82/7.75  	| Applying alpha-rule on (988) yields:
% 27.82/7.75  	| (989)  ~ in(all_70_0_67, all_662_1_888) | (in(all_70_0_67, all_662_0_887) & in(all_0_11_11, all_57_1_49))
% 27.82/7.75  	| (990) relation_dom(all_0_7_7) = all_662_0_887
% 27.82/7.75  	| (991) relation_dom(all_662_2_889) = all_662_1_888
% 27.82/7.75  	| (992)  ~ in(all_70_0_67, all_662_0_887) |  ~ in(all_0_11_11, all_57_1_49) | in(all_70_0_67, all_662_1_888)
% 27.82/7.75  	| (993) relation_composition(all_0_7_7, all_57_2_50) = all_662_2_889
% 27.82/7.75  	|
% 27.82/7.75  	| Instantiating (654) with all_664_0_890, all_664_1_891, all_664_2_892 yields:
% 27.82/7.75  	| (994) relation_composition(all_0_7_7, all_0_7_7) = all_664_2_892 & relation_dom(all_664_2_892) = all_664_1_891 & relation_dom(all_0_7_7) = all_664_0_890 & ( ~ in(all_94_0_80, all_23_3_21) |  ~ in(all_23_1_19, all_664_0_890) | in(all_23_1_19, all_664_1_891)) & ( ~ in(all_23_1_19, all_664_1_891) | (in(all_94_0_80, all_23_3_21) & in(all_23_1_19, all_664_0_890)))
% 27.82/7.75  	|
% 27.82/7.75  	| Applying alpha-rule on (994) yields:
% 27.82/7.75  	| (995) relation_dom(all_664_2_892) = all_664_1_891
% 27.82/7.75  	| (996)  ~ in(all_94_0_80, all_23_3_21) |  ~ in(all_23_1_19, all_664_0_890) | in(all_23_1_19, all_664_1_891)
% 27.82/7.75  	| (997)  ~ in(all_23_1_19, all_664_1_891) | (in(all_94_0_80, all_23_3_21) & in(all_23_1_19, all_664_0_890))
% 27.82/7.75  	| (998) relation_composition(all_0_7_7, all_0_7_7) = all_664_2_892
% 27.82/7.76  	| (999) relation_dom(all_0_7_7) = all_664_0_890
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating (653) with all_666_0_893, all_666_1_894, all_666_2_895 yields:
% 27.82/7.76  	| (1000) relation_dom(all_0_7_7) = all_666_2_895 & apply(all_0_8_8, all_23_1_19) = all_666_1_894 & apply(all_0_10_10, all_666_1_894) = all_666_0_893 & (all_666_0_893 = all_94_0_80 |  ~ in(all_23_1_19, all_666_2_895))
% 27.82/7.76  	|
% 27.82/7.76  	| Applying alpha-rule on (1000) yields:
% 27.82/7.76  	| (1001) relation_dom(all_0_7_7) = all_666_2_895
% 27.82/7.76  	| (1002) apply(all_0_8_8, all_23_1_19) = all_666_1_894
% 27.82/7.76  	| (1003) apply(all_0_10_10, all_666_1_894) = all_666_0_893
% 27.82/7.76  	| (1004) all_666_0_893 = all_94_0_80 |  ~ in(all_23_1_19, all_666_2_895)
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating (652) with all_670_0_899, all_670_1_900, all_670_2_901 yields:
% 27.82/7.76  	| (1005) relation_composition(all_0_7_7, all_0_10_10) = all_670_2_901 & relation_dom(all_670_2_901) = all_670_1_900 & relation_dom(all_0_7_7) = all_670_0_899 & ( ~ in(all_88_0_70, all_25_0_22) |  ~ in(all_88_1_71, all_670_0_899) | in(all_88_1_71, all_670_1_900)) & ( ~ in(all_88_1_71, all_670_1_900) | (in(all_88_0_70, all_25_0_22) & in(all_88_1_71, all_670_0_899)))
% 27.82/7.76  	|
% 27.82/7.76  	| Applying alpha-rule on (1005) yields:
% 27.82/7.76  	| (1006)  ~ in(all_88_1_71, all_670_1_900) | (in(all_88_0_70, all_25_0_22) & in(all_88_1_71, all_670_0_899))
% 27.82/7.76  	| (1007) relation_composition(all_0_7_7, all_0_10_10) = all_670_2_901
% 27.82/7.76  	| (1008) relation_dom(all_0_7_7) = all_670_0_899
% 27.82/7.76  	| (1009)  ~ in(all_88_0_70, all_25_0_22) |  ~ in(all_88_1_71, all_670_0_899) | in(all_88_1_71, all_670_1_900)
% 27.82/7.76  	| (1010) relation_dom(all_670_2_901) = all_670_1_900
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating (651) with all_672_0_902, all_672_1_903, all_672_2_904 yields:
% 27.82/7.76  	| (1011) relation_composition(all_0_7_7, all_0_8_8) = all_672_2_904 & relation_dom(all_672_2_904) = all_672_1_903 & relation_dom(all_0_7_7) = all_672_0_902 & ( ~ in(all_88_0_70, all_43_0_34) |  ~ in(all_88_1_71, all_672_0_902) | in(all_88_1_71, all_672_1_903)) & ( ~ in(all_88_1_71, all_672_1_903) | (in(all_88_0_70, all_43_0_34) & in(all_88_1_71, all_672_0_902)))
% 27.82/7.76  	|
% 27.82/7.76  	| Applying alpha-rule on (1011) yields:
% 27.82/7.76  	| (1012) relation_dom(all_672_2_904) = all_672_1_903
% 27.82/7.76  	| (1013) relation_dom(all_0_7_7) = all_672_0_902
% 27.82/7.76  	| (1014)  ~ in(all_88_1_71, all_672_1_903) | (in(all_88_0_70, all_43_0_34) & in(all_88_1_71, all_672_0_902))
% 27.82/7.76  	| (1015)  ~ in(all_88_0_70, all_43_0_34) |  ~ in(all_88_1_71, all_672_0_902) | in(all_88_1_71, all_672_1_903)
% 27.82/7.76  	| (1016) relation_composition(all_0_7_7, all_0_8_8) = all_672_2_904
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating (650) with all_674_0_905, all_674_1_906, all_674_2_907 yields:
% 27.82/7.76  	| (1017) relation_composition(all_0_7_7, all_0_7_7) = all_674_2_907 & relation_dom(all_674_2_907) = all_674_1_906 & relation_dom(all_0_7_7) = all_674_0_905 & ( ~ in(all_88_0_70, all_23_3_21) |  ~ in(all_88_1_71, all_674_0_905) | in(all_88_1_71, all_674_1_906)) & ( ~ in(all_88_1_71, all_674_1_906) | (in(all_88_0_70, all_23_3_21) & in(all_88_1_71, all_674_0_905)))
% 27.82/7.76  	|
% 27.82/7.76  	| Applying alpha-rule on (1017) yields:
% 27.82/7.76  	| (1018) relation_composition(all_0_7_7, all_0_7_7) = all_674_2_907
% 27.82/7.76  	| (1019)  ~ in(all_88_1_71, all_674_1_906) | (in(all_88_0_70, all_23_3_21) & in(all_88_1_71, all_674_0_905))
% 27.82/7.76  	| (1020) relation_dom(all_0_7_7) = all_674_0_905
% 27.82/7.76  	| (1021) relation_dom(all_674_2_907) = all_674_1_906
% 27.82/7.76  	| (1022)  ~ in(all_88_0_70, all_23_3_21) |  ~ in(all_88_1_71, all_674_0_905) | in(all_88_1_71, all_674_1_906)
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating (649) with all_676_0_908, all_676_1_909, all_676_2_910 yields:
% 27.82/7.76  	| (1023) relation_dom(all_0_7_7) = all_676_2_910 & apply(all_0_8_8, all_88_1_71) = all_676_1_909 & apply(all_0_10_10, all_676_1_909) = all_676_0_908 & (all_676_0_908 = all_88_0_70 |  ~ in(all_88_1_71, all_676_2_910))
% 27.82/7.76  	|
% 27.82/7.76  	| Applying alpha-rule on (1023) yields:
% 27.82/7.76  	| (1024) relation_dom(all_0_7_7) = all_676_2_910
% 27.82/7.76  	| (1025) apply(all_0_8_8, all_88_1_71) = all_676_1_909
% 27.82/7.76  	| (1026) apply(all_0_10_10, all_676_1_909) = all_676_0_908
% 27.82/7.76  	| (1027) all_676_0_908 = all_88_0_70 |  ~ in(all_88_1_71, all_676_2_910)
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (43) with all_0_8_8, all_0_10_10, all_198_2_211, all_0_7_7 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_198_2_211, relation_composition(all_0_8_8, all_0_10_10) = all_0_7_7, yields:
% 27.82/7.76  	| (1028) all_198_2_211 = all_0_7_7
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (43) with all_0_8_8, all_0_10_10, all_198_2_211, all_570_2_758 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_570_2_758, relation_composition(all_0_8_8, all_0_10_10) = all_198_2_211, yields:
% 27.82/7.76  	| (1029) all_570_2_758 = all_198_2_211
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (43) with all_0_8_8, all_0_10_10, all_186_2_193, all_570_2_758 and discharging atoms relation_composition(all_0_8_8, all_0_10_10) = all_570_2_758, relation_composition(all_0_8_8, all_0_10_10) = all_186_2_193, yields:
% 27.82/7.76  	| (1030) all_570_2_758 = all_186_2_193
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_670_0_899, all_672_0_902 and discharging atoms relation_dom(all_0_7_7) = all_672_0_902, relation_dom(all_0_7_7) = all_670_0_899, yields:
% 27.82/7.76  	| (1031) all_672_0_902 = all_670_0_899
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_666_2_895, all_676_2_910 and discharging atoms relation_dom(all_0_7_7) = all_676_2_910, relation_dom(all_0_7_7) = all_666_2_895, yields:
% 27.82/7.76  	| (1032) all_676_2_910 = all_666_2_895
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_662_0_887, all_670_0_899 and discharging atoms relation_dom(all_0_7_7) = all_670_0_899, relation_dom(all_0_7_7) = all_662_0_887, yields:
% 27.82/7.76  	| (1033) all_670_0_899 = all_662_0_887
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_660_0_884, all_666_2_895 and discharging atoms relation_dom(all_0_7_7) = all_666_2_895, relation_dom(all_0_7_7) = all_660_0_884, yields:
% 27.82/7.76  	| (1034) all_666_2_895 = all_660_0_884
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_656_0_878, all_664_0_890 and discharging atoms relation_dom(all_0_7_7) = all_664_0_890, relation_dom(all_0_7_7) = all_656_0_878, yields:
% 27.82/7.76  	| (1035) all_664_0_890 = all_656_0_878
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_644_0_860, all_672_0_902 and discharging atoms relation_dom(all_0_7_7) = all_672_0_902, relation_dom(all_0_7_7) = all_644_0_860, yields:
% 27.82/7.76  	| (1036) all_672_0_902 = all_644_0_860
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_642_0_857, all_656_0_878 and discharging atoms relation_dom(all_0_7_7) = all_656_0_878, relation_dom(all_0_7_7) = all_642_0_857, yields:
% 27.82/7.76  	| (1037) all_656_0_878 = all_642_0_857
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_640_0_854, all_642_0_857 and discharging atoms relation_dom(all_0_7_7) = all_642_0_857, relation_dom(all_0_7_7) = all_640_0_854, yields:
% 27.82/7.76  	| (1038) all_642_0_857 = all_640_0_854
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_630_0_839, all_660_0_884 and discharging atoms relation_dom(all_0_7_7) = all_660_0_884, relation_dom(all_0_7_7) = all_630_0_839, yields:
% 27.82/7.76  	| (1039) all_660_0_884 = all_630_0_839
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_622_0_827, all_640_0_854 and discharging atoms relation_dom(all_0_7_7) = all_640_0_854, relation_dom(all_0_7_7) = all_622_0_827, yields:
% 27.82/7.76  	| (1040) all_640_0_854 = all_622_0_827
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_604_0_800, all_626_2_835 and discharging atoms relation_dom(all_0_7_7) = all_626_2_835, relation_dom(all_0_7_7) = all_604_0_800, yields:
% 27.82/7.76  	| (1041) all_626_2_835 = all_604_0_800
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_580_0_771, all_626_2_835 and discharging atoms relation_dom(all_0_7_7) = all_626_2_835, relation_dom(all_0_7_7) = all_580_0_771, yields:
% 27.82/7.76  	| (1042) all_626_2_835 = all_580_0_771
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_580_0_771, all_622_0_827 and discharging atoms relation_dom(all_0_7_7) = all_622_0_827, relation_dom(all_0_7_7) = all_580_0_771, yields:
% 27.82/7.76  	| (1043) all_622_0_827 = all_580_0_771
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_578_0_768, all_676_2_910 and discharging atoms relation_dom(all_0_7_7) = all_676_2_910, relation_dom(all_0_7_7) = all_578_0_768, yields:
% 27.82/7.76  	| (1044) all_676_2_910 = all_578_0_768
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_564_0_747, all_664_0_890 and discharging atoms relation_dom(all_0_7_7) = all_664_0_890, relation_dom(all_0_7_7) = all_564_0_747, yields:
% 27.82/7.76  	| (1045) all_664_0_890 = all_564_0_747
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_556_0_735, all_618_0_821 and discharging atoms relation_dom(all_0_7_7) = all_618_0_821, relation_dom(all_0_7_7) = all_556_0_735, yields:
% 27.82/7.76  	| (1046) all_618_0_821 = all_556_0_735
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_546_0_720, all_626_2_835 and discharging atoms relation_dom(all_0_7_7) = all_626_2_835, relation_dom(all_0_7_7) = all_546_0_720, yields:
% 27.82/7.76  	| (1047) all_626_2_835 = all_546_0_720
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_544_0_717, all_23_3_21 and discharging atoms relation_dom(all_0_7_7) = all_544_0_717, relation_dom(all_0_7_7) = all_23_3_21, yields:
% 27.82/7.76  	| (1048) all_544_0_717 = all_23_3_21
% 27.82/7.76  	|
% 27.82/7.76  	| Instantiating formula (37) with all_0_7_7, all_542_0_714, all_670_0_899 and discharging atoms relation_dom(all_0_7_7) = all_670_0_899, relation_dom(all_0_7_7) = all_542_0_714, yields:
% 27.82/7.77  	| (1049) all_670_0_899 = all_542_0_714
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_542_0_714, all_556_0_735 and discharging atoms relation_dom(all_0_7_7) = all_556_0_735, relation_dom(all_0_7_7) = all_542_0_714, yields:
% 27.82/7.77  	| (1050) all_556_0_735 = all_542_0_714
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_542_0_714, all_544_0_717 and discharging atoms relation_dom(all_0_7_7) = all_544_0_717, relation_dom(all_0_7_7) = all_542_0_714, yields:
% 27.82/7.77  	| (1051) all_544_0_717 = all_542_0_714
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_532_0_699, all_630_0_839 and discharging atoms relation_dom(all_0_7_7) = all_630_0_839, relation_dom(all_0_7_7) = all_532_0_699, yields:
% 27.82/7.77  	| (1052) all_630_0_839 = all_532_0_699
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_530_0_696, all_622_0_827 and discharging atoms relation_dom(all_0_7_7) = all_622_0_827, relation_dom(all_0_7_7) = all_530_0_696, yields:
% 27.82/7.77  	| (1053) all_622_0_827 = all_530_0_696
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_488_0_633, all_650_0_869 and discharging atoms relation_dom(all_0_7_7) = all_650_0_869, relation_dom(all_0_7_7) = all_488_0_633, yields:
% 27.82/7.77  	| (1054) all_650_0_869 = all_488_0_633
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_488_0_633, all_530_0_696 and discharging atoms relation_dom(all_0_7_7) = all_530_0_696, relation_dom(all_0_7_7) = all_488_0_633, yields:
% 27.82/7.77  	| (1055) all_530_0_696 = all_488_0_633
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_486_0_630, all_650_0_869 and discharging atoms relation_dom(all_0_7_7) = all_650_0_869, relation_dom(all_0_7_7) = all_486_0_630, yields:
% 27.82/7.77  	| (1056) all_650_0_869 = all_486_0_630
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_484_0_627, all_650_0_869 and discharging atoms relation_dom(all_0_7_7) = all_650_0_869, relation_dom(all_0_7_7) = all_484_0_627, yields:
% 27.82/7.77  	| (1057) all_650_0_869 = all_484_0_627
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_466_0_600, all_532_0_699 and discharging atoms relation_dom(all_0_7_7) = all_532_0_699, relation_dom(all_0_7_7) = all_466_0_600, yields:
% 27.82/7.77  	| (1058) all_532_0_699 = all_466_0_600
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_466_0_600, all_484_0_627 and discharging atoms relation_dom(all_0_7_7) = all_484_0_627, relation_dom(all_0_7_7) = all_466_0_600, yields:
% 27.82/7.77  	| (1059) all_484_0_627 = all_466_0_600
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_452_0_579, all_630_0_839 and discharging atoms relation_dom(all_0_7_7) = all_630_0_839, relation_dom(all_0_7_7) = all_452_0_579, yields:
% 27.82/7.77  	| (1060) all_630_0_839 = all_452_0_579
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_450_0_576, all_532_0_699 and discharging atoms relation_dom(all_0_7_7) = all_532_0_699, relation_dom(all_0_7_7) = all_450_0_576, yields:
% 27.82/7.77  	| (1061) all_532_0_699 = all_450_0_576
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_410_0_516, all_450_0_576 and discharging atoms relation_dom(all_0_7_7) = all_450_0_576, relation_dom(all_0_7_7) = all_410_0_516, yields:
% 27.82/7.77  	| (1062) all_450_0_576 = all_410_0_516
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_395_0_497, all_410_0_516 and discharging atoms relation_dom(all_0_7_7) = all_410_0_516, relation_dom(all_0_7_7) = all_395_0_497, yields:
% 27.82/7.77  	| (1063) all_410_0_516 = all_395_0_497
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_389_0_488, all_674_0_905 and discharging atoms relation_dom(all_0_7_7) = all_674_0_905, relation_dom(all_0_7_7) = all_389_0_488, yields:
% 27.82/7.77  	| (1064) all_674_0_905 = all_389_0_488
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_389_0_488, all_395_0_497 and discharging atoms relation_dom(all_0_7_7) = all_395_0_497, relation_dom(all_0_7_7) = all_389_0_488, yields:
% 27.82/7.77  	| (1065) all_395_0_497 = all_389_0_488
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_381_0_476, all_674_0_905 and discharging atoms relation_dom(all_0_7_7) = all_674_0_905, relation_dom(all_0_7_7) = all_381_0_476, yields:
% 27.82/7.77  	| (1066) all_674_0_905 = all_381_0_476
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_375_0_467, all_674_0_905 and discharging atoms relation_dom(all_0_7_7) = all_674_0_905, relation_dom(all_0_7_7) = all_375_0_467, yields:
% 27.82/7.77  	| (1067) all_674_0_905 = all_375_0_467
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_373_0_464, all_375_0_467 and discharging atoms relation_dom(all_0_7_7) = all_375_0_467, relation_dom(all_0_7_7) = all_373_0_464, yields:
% 27.82/7.77  	| (1068) all_375_0_467 = all_373_0_464
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_343_0_419, all_373_0_464 and discharging atoms relation_dom(all_0_7_7) = all_373_0_464, relation_dom(all_0_7_7) = all_343_0_419, yields:
% 27.82/7.77  	| (1069) all_373_0_464 = all_343_0_419
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_312_0_376, all_622_0_827 and discharging atoms relation_dom(all_0_7_7) = all_622_0_827, relation_dom(all_0_7_7) = all_312_0_376, yields:
% 27.82/7.77  	| (1070) all_622_0_827 = all_312_0_376
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_310_0_373, all_343_0_419 and discharging atoms relation_dom(all_0_7_7) = all_343_0_419, relation_dom(all_0_7_7) = all_310_0_373, yields:
% 27.82/7.77  	| (1071) all_343_0_419 = all_310_0_373
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_308_0_370, all_310_0_373 and discharging atoms relation_dom(all_0_7_7) = all_310_0_373, relation_dom(all_0_7_7) = all_308_0_370, yields:
% 27.82/7.77  	| (1072) all_310_0_373 = all_308_0_370
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_264_0_311, all_310_0_373 and discharging atoms relation_dom(all_0_7_7) = all_310_0_373, relation_dom(all_0_7_7) = all_264_0_311, yields:
% 27.82/7.77  	| (1073) all_310_0_373 = all_264_0_311
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_262_0_308, all_264_0_311 and discharging atoms relation_dom(all_0_7_7) = all_264_0_311, relation_dom(all_0_7_7) = all_262_0_308, yields:
% 27.82/7.77  	| (1074) all_264_0_311 = all_262_0_308
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_256_0_298, all_262_0_308 and discharging atoms relation_dom(all_0_7_7) = all_262_0_308, relation_dom(all_0_7_7) = all_256_0_298, yields:
% 27.82/7.77  	| (1075) all_262_0_308 = all_256_0_298
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_248_0_286, all_542_0_714 and discharging atoms relation_dom(all_0_7_7) = all_542_0_714, relation_dom(all_0_7_7) = all_248_0_286, yields:
% 27.82/7.77  	| (1076) all_542_0_714 = all_248_0_286
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_248_0_286, all_262_0_308 and discharging atoms relation_dom(all_0_7_7) = all_262_0_308, relation_dom(all_0_7_7) = all_248_0_286, yields:
% 27.82/7.77  	| (1077) all_262_0_308 = all_248_0_286
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_246_2_285, all_618_0_821 and discharging atoms relation_dom(all_0_7_7) = all_618_0_821, relation_dom(all_0_7_7) = all_246_2_285, yields:
% 27.82/7.77  	| (1078) all_618_0_821 = all_246_2_285
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_244_0_280, all_343_0_419 and discharging atoms relation_dom(all_0_7_7) = all_343_0_419, relation_dom(all_0_7_7) = all_244_0_280, yields:
% 27.82/7.77  	| (1079) all_343_0_419 = all_244_0_280
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_214_1_235, all_662_0_887 and discharging atoms relation_dom(all_0_7_7) = all_662_0_887, relation_dom(all_0_7_7) = all_214_1_235, yields:
% 27.82/7.77  	| (1080) all_662_0_887 = all_214_1_235
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_212_0_231, all_670_0_899 and discharging atoms relation_dom(all_0_7_7) = all_670_0_899, relation_dom(all_0_7_7) = all_212_0_231, yields:
% 27.82/7.77  	| (1081) all_670_0_899 = all_212_0_231
% 27.82/7.77  	|
% 27.82/7.77  	| Instantiating formula (37) with all_0_7_7, all_210_0_228, all_212_0_231 and discharging atoms relation_dom(all_0_7_7) = all_212_0_231, relation_dom(all_0_7_7) = all_210_0_228, yields:
% 27.82/7.77  	| (1082) all_212_0_231 = all_210_0_228
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1032,1044) yields a new equation:
% 27.82/7.77  	| (1083) all_666_2_895 = all_578_0_768
% 27.82/7.77  	|
% 27.82/7.77  	| Simplifying 1083 yields:
% 27.82/7.77  	| (1084) all_666_2_895 = all_578_0_768
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1064,1066) yields a new equation:
% 27.82/7.77  	| (1085) all_389_0_488 = all_381_0_476
% 27.82/7.77  	|
% 27.82/7.77  	| Simplifying 1085 yields:
% 27.82/7.77  	| (1086) all_389_0_488 = all_381_0_476
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1067,1066) yields a new equation:
% 27.82/7.77  	| (1087) all_381_0_476 = all_375_0_467
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1031,1036) yields a new equation:
% 27.82/7.77  	| (1088) all_670_0_899 = all_644_0_860
% 27.82/7.77  	|
% 27.82/7.77  	| Simplifying 1088 yields:
% 27.82/7.77  	| (1089) all_670_0_899 = all_644_0_860
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1033,1089) yields a new equation:
% 27.82/7.77  	| (1090) all_662_0_887 = all_644_0_860
% 27.82/7.77  	|
% 27.82/7.77  	| Simplifying 1090 yields:
% 27.82/7.77  	| (1091) all_662_0_887 = all_644_0_860
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1081,1089) yields a new equation:
% 27.82/7.77  	| (1092) all_644_0_860 = all_212_0_231
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1049,1089) yields a new equation:
% 27.82/7.77  	| (1093) all_644_0_860 = all_542_0_714
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1034,1084) yields a new equation:
% 27.82/7.77  	| (1094) all_660_0_884 = all_578_0_768
% 27.82/7.77  	|
% 27.82/7.77  	| Simplifying 1094 yields:
% 27.82/7.77  	| (1095) all_660_0_884 = all_578_0_768
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1035,1045) yields a new equation:
% 27.82/7.77  	| (1096) all_656_0_878 = all_564_0_747
% 27.82/7.77  	|
% 27.82/7.77  	| Simplifying 1096 yields:
% 27.82/7.77  	| (1097) all_656_0_878 = all_564_0_747
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1091,1080) yields a new equation:
% 27.82/7.77  	| (1098) all_644_0_860 = all_214_1_235
% 27.82/7.77  	|
% 27.82/7.77  	| Simplifying 1098 yields:
% 27.82/7.77  	| (1099) all_644_0_860 = all_214_1_235
% 27.82/7.77  	|
% 27.82/7.77  	| Combining equations (1039,1095) yields a new equation:
% 27.82/7.78  	| (1100) all_630_0_839 = all_578_0_768
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1100 yields:
% 27.82/7.78  	| (1101) all_630_0_839 = all_578_0_768
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1037,1097) yields a new equation:
% 27.82/7.78  	| (1102) all_642_0_857 = all_564_0_747
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1102 yields:
% 27.82/7.78  	| (1103) all_642_0_857 = all_564_0_747
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1057,1056) yields a new equation:
% 27.82/7.78  	| (1104) all_486_0_630 = all_484_0_627
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1054,1056) yields a new equation:
% 27.82/7.78  	| (1105) all_488_0_633 = all_486_0_630
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1105 yields:
% 27.82/7.78  	| (1106) all_488_0_633 = all_486_0_630
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1093,1099) yields a new equation:
% 27.82/7.78  	| (1107) all_542_0_714 = all_214_1_235
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1107 yields:
% 27.82/7.78  	| (1108) all_542_0_714 = all_214_1_235
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1092,1099) yields a new equation:
% 27.82/7.78  	| (1109) all_214_1_235 = all_212_0_231
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1038,1103) yields a new equation:
% 27.82/7.78  	| (1110) all_640_0_854 = all_564_0_747
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1110 yields:
% 27.82/7.78  	| (1111) all_640_0_854 = all_564_0_747
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1040,1111) yields a new equation:
% 27.82/7.78  	| (1112) all_622_0_827 = all_564_0_747
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1112 yields:
% 27.82/7.78  	| (1113) all_622_0_827 = all_564_0_747
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1060,1101) yields a new equation:
% 27.82/7.78  	| (1114) all_578_0_768 = all_452_0_579
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1052,1101) yields a new equation:
% 27.82/7.78  	| (1115) all_578_0_768 = all_532_0_699
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1047,1041) yields a new equation:
% 27.82/7.78  	| (1116) all_604_0_800 = all_546_0_720
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1042,1041) yields a new equation:
% 27.82/7.78  	| (1117) all_604_0_800 = all_580_0_771
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1070,1113) yields a new equation:
% 27.82/7.78  	| (1118) all_564_0_747 = all_312_0_376
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1053,1113) yields a new equation:
% 27.82/7.78  	| (1119) all_564_0_747 = all_530_0_696
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1043,1113) yields a new equation:
% 27.82/7.78  	| (1120) all_580_0_771 = all_564_0_747
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1120 yields:
% 27.82/7.78  	| (1121) all_580_0_771 = all_564_0_747
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1046,1078) yields a new equation:
% 27.82/7.78  	| (1122) all_556_0_735 = all_246_2_285
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1122 yields:
% 27.82/7.78  	| (1123) all_556_0_735 = all_246_2_285
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1117,1116) yields a new equation:
% 27.82/7.78  	| (1124) all_580_0_771 = all_546_0_720
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1124 yields:
% 27.82/7.78  	| (1125) all_580_0_771 = all_546_0_720
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1121,1125) yields a new equation:
% 27.82/7.78  	| (1126) all_564_0_747 = all_546_0_720
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1126 yields:
% 27.82/7.78  	| (1127) all_564_0_747 = all_546_0_720
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1115,1114) yields a new equation:
% 27.82/7.78  	| (1128) all_532_0_699 = all_452_0_579
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1128 yields:
% 27.82/7.78  	| (1129) all_532_0_699 = all_452_0_579
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1029,1030) yields a new equation:
% 27.82/7.78  	| (1130) all_198_2_211 = all_186_2_193
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1130 yields:
% 27.82/7.78  	| (1131) all_198_2_211 = all_186_2_193
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1119,1127) yields a new equation:
% 27.82/7.78  	| (1132) all_546_0_720 = all_530_0_696
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1118,1127) yields a new equation:
% 27.82/7.78  	| (1133) all_546_0_720 = all_312_0_376
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1050,1123) yields a new equation:
% 27.82/7.78  	| (1134) all_542_0_714 = all_246_2_285
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1134 yields:
% 27.82/7.78  	| (1135) all_542_0_714 = all_246_2_285
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1132,1133) yields a new equation:
% 27.82/7.78  	| (1136) all_530_0_696 = all_312_0_376
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1136 yields:
% 27.82/7.78  	| (1137) all_530_0_696 = all_312_0_376
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1051,1048) yields a new equation:
% 27.82/7.78  	| (1138) all_542_0_714 = all_23_3_21
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1138 yields:
% 27.82/7.78  	| (1139) all_542_0_714 = all_23_3_21
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1076,1135) yields a new equation:
% 27.82/7.78  	| (1140) all_248_0_286 = all_246_2_285
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1140 yields:
% 27.82/7.78  	| (1141) all_248_0_286 = all_246_2_285
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1139,1135) yields a new equation:
% 27.82/7.78  	| (1142) all_246_2_285 = all_23_3_21
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1108,1135) yields a new equation:
% 27.82/7.78  	| (1143) all_246_2_285 = all_214_1_235
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1061,1129) yields a new equation:
% 27.82/7.78  	| (1144) all_452_0_579 = all_450_0_576
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1058,1129) yields a new equation:
% 27.82/7.78  	| (1145) all_466_0_600 = all_452_0_579
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1145 yields:
% 27.82/7.78  	| (1146) all_466_0_600 = all_452_0_579
% 27.82/7.78  	|
% 27.82/7.78  	| Combining equations (1055,1137) yields a new equation:
% 27.82/7.78  	| (1147) all_488_0_633 = all_312_0_376
% 27.82/7.78  	|
% 27.82/7.78  	| Simplifying 1147 yields:
% 27.82/7.78  	| (1148) all_488_0_633 = all_312_0_376
% 27.82/7.78  	|
% 27.82/7.79  	| Combining equations (1106,1148) yields a new equation:
% 27.82/7.79  	| (1149) all_486_0_630 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1149 yields:
% 27.82/7.79  	| (1150) all_486_0_630 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1104,1150) yields a new equation:
% 27.82/7.79  	| (1151) all_484_0_627 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1151 yields:
% 27.82/7.79  	| (1152) all_484_0_627 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1059,1152) yields a new equation:
% 27.82/7.79  	| (1153) all_466_0_600 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1153 yields:
% 27.82/7.79  	| (1154) all_466_0_600 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1146,1154) yields a new equation:
% 27.82/7.79  	| (1155) all_452_0_579 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1155 yields:
% 27.82/7.79  	| (1156) all_452_0_579 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1144,1156) yields a new equation:
% 27.82/7.79  	| (1157) all_450_0_576 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1157 yields:
% 27.82/7.79  	| (1158) all_450_0_576 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1062,1158) yields a new equation:
% 27.82/7.79  	| (1159) all_410_0_516 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1159 yields:
% 27.82/7.79  	| (1160) all_410_0_516 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1063,1160) yields a new equation:
% 27.82/7.79  	| (1161) all_395_0_497 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1161 yields:
% 27.82/7.79  	| (1162) all_395_0_497 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1065,1162) yields a new equation:
% 27.82/7.79  	| (1163) all_389_0_488 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1163 yields:
% 27.82/7.79  	| (1164) all_389_0_488 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1086,1164) yields a new equation:
% 27.82/7.79  	| (1165) all_381_0_476 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1165 yields:
% 27.82/7.79  	| (1166) all_381_0_476 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1087,1166) yields a new equation:
% 27.82/7.79  	| (1167) all_375_0_467 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1167 yields:
% 27.82/7.79  	| (1168) all_375_0_467 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1068,1168) yields a new equation:
% 27.82/7.79  	| (1169) all_373_0_464 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1169 yields:
% 27.82/7.79  	| (1170) all_373_0_464 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1069,1170) yields a new equation:
% 27.82/7.79  	| (1171) all_343_0_419 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1171 yields:
% 27.82/7.79  	| (1172) all_343_0_419 = all_312_0_376
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1079,1172) yields a new equation:
% 27.82/7.79  	| (1173) all_312_0_376 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1071,1172) yields a new equation:
% 27.82/7.79  	| (1174) all_312_0_376 = all_310_0_373
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1174,1173) yields a new equation:
% 27.82/7.79  	| (1175) all_310_0_373 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1175 yields:
% 27.82/7.79  	| (1176) all_310_0_373 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1073,1072) yields a new equation:
% 27.82/7.79  	| (1177) all_308_0_370 = all_264_0_311
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1176,1072) yields a new equation:
% 27.82/7.79  	| (1178) all_308_0_370 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1177,1178) yields a new equation:
% 27.82/7.79  	| (1179) all_264_0_311 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1179 yields:
% 27.82/7.79  	| (1180) all_264_0_311 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1074,1180) yields a new equation:
% 27.82/7.79  	| (1181) all_262_0_308 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1181 yields:
% 27.82/7.79  	| (1182) all_262_0_308 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1077,1075) yields a new equation:
% 27.82/7.79  	| (1183) all_256_0_298 = all_248_0_286
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1182,1075) yields a new equation:
% 27.82/7.79  	| (1184) all_256_0_298 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1183,1184) yields a new equation:
% 27.82/7.79  	| (1185) all_248_0_286 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Simplifying 1185 yields:
% 27.82/7.79  	| (1186) all_248_0_286 = all_244_0_280
% 27.82/7.79  	|
% 27.82/7.79  	| Combining equations (1141,1186) yields a new equation:
% 27.82/7.79  	| (1187) all_246_2_285 = all_244_0_280
% 28.15/7.79  	|
% 28.15/7.79  	| Simplifying 1187 yields:
% 28.15/7.79  	| (1188) all_246_2_285 = all_244_0_280
% 28.15/7.79  	|
% 28.15/7.79  	| Combining equations (1143,1188) yields a new equation:
% 28.15/7.79  	| (1189) all_244_0_280 = all_214_1_235
% 28.15/7.79  	|
% 28.15/7.79  	| Combining equations (1142,1188) yields a new equation:
% 28.15/7.79  	| (1190) all_244_0_280 = all_23_3_21
% 28.15/7.79  	|
% 28.15/7.79  	| Combining equations (1189,1190) yields a new equation:
% 28.15/7.79  	| (1191) all_214_1_235 = all_23_3_21
% 28.15/7.79  	|
% 28.15/7.79  	| Simplifying 1191 yields:
% 28.15/7.79  	| (1192) all_214_1_235 = all_23_3_21
% 28.15/7.79  	|
% 28.15/7.79  	| Combining equations (1109,1192) yields a new equation:
% 28.15/7.79  	| (1193) all_212_0_231 = all_23_3_21
% 28.15/7.79  	|
% 28.15/7.79  	| Simplifying 1193 yields:
% 28.15/7.79  	| (1194) all_212_0_231 = all_23_3_21
% 28.15/7.79  	|
% 28.15/7.79  	| Combining equations (1082,1194) yields a new equation:
% 28.15/7.79  	| (1195) all_210_0_228 = all_23_3_21
% 28.15/7.79  	|
% 28.15/7.79  	| Simplifying 1195 yields:
% 28.15/7.79  	| (1196) all_210_0_228 = all_23_3_21
% 28.15/7.79  	|
% 28.15/7.79  	| Combining equations (1028,1131) yields a new equation:
% 28.15/7.80  	| (1197) all_186_2_193 = all_0_7_7
% 28.15/7.80  	|
% 28.15/7.80  	| Combining equations (1197,1131) yields a new equation:
% 28.15/7.80  	| (1028) all_198_2_211 = all_0_7_7
% 28.15/7.80  	|
% 28.15/7.80  	| Combining equations (1197,1030) yields a new equation:
% 28.15/7.80  	| (1199) all_570_2_758 = all_0_7_7
% 28.15/7.80  	|
% 28.15/7.80  	| From (1199) and (908) follows:
% 28.15/7.80  	| (1200) relation_dom(all_0_7_7) = all_570_1_757
% 28.15/7.80  	|
% 28.15/7.80  	| From (1028) and (714) follows:
% 28.15/7.80  	| (1201) relation_dom(all_0_7_7) = all_198_1_210
% 28.15/7.80  	|
% 28.15/7.80  	| From (1197) and (708) follows:
% 28.15/7.80  	| (1202) relation_dom(all_0_7_7) = all_186_1_192
% 28.15/7.80  	|
% 28.15/7.80  	| From (1196) and (720) follows:
% 28.15/7.80  	| (77) relation_dom(all_0_7_7) = all_23_3_21
% 28.15/7.80  	|
% 28.15/7.80  	| Instantiating formula (37) with all_0_7_7, all_570_1_757, all_23_3_21 and discharging atoms relation_dom(all_0_7_7) = all_570_1_757, relation_dom(all_0_7_7) = all_23_3_21, yields:
% 28.15/7.80  	| (1204) all_570_1_757 = all_23_3_21
% 28.15/7.80  	|
% 28.15/7.80  	| Instantiating formula (37) with all_0_7_7, all_198_1_210, all_570_1_757 and discharging atoms relation_dom(all_0_7_7) = all_570_1_757, relation_dom(all_0_7_7) = all_198_1_210, yields:
% 28.15/7.80  	| (1205) all_570_1_757 = all_198_1_210
% 28.15/7.80  	|
% 28.15/7.80  	| Instantiating formula (37) with all_0_7_7, all_186_1_192, all_198_1_210 and discharging atoms relation_dom(all_0_7_7) = all_198_1_210, relation_dom(all_0_7_7) = all_186_1_192, yields:
% 28.15/7.80  	| (1206) all_198_1_210 = all_186_1_192
% 28.15/7.80  	|
% 28.15/7.80  	| Combining equations (1205,1204) yields a new equation:
% 28.15/7.80  	| (1207) all_198_1_210 = all_23_3_21
% 28.15/7.80  	|
% 28.15/7.80  	| Simplifying 1207 yields:
% 28.15/7.80  	| (1208) all_198_1_210 = all_23_3_21
% 28.15/7.80  	|
% 28.15/7.80  	| Combining equations (1206,1208) yields a new equation:
% 28.15/7.80  	| (1209) all_186_1_192 = all_23_3_21
% 28.15/7.80  	|
% 28.15/7.80  	| Simplifying 1209 yields:
% 28.15/7.80  	| (1210) all_186_1_192 = all_23_3_21
% 28.15/7.80  	|
% 28.15/7.80  	+-Applying beta-rule and splitting (704), into two cases.
% 28.15/7.80  	|-Branch one:
% 28.15/7.80  	| (1211)  ~ in(all_70_0_67, all_186_1_192)
% 28.15/7.80  	|
% 28.15/7.80  		| From (1210) and (1211) follows:
% 28.15/7.80  		| (622)  ~ in(all_70_0_67, all_23_3_21)
% 28.15/7.80  		|
% 28.15/7.80  		| Using (236) and (622) yields:
% 28.15/7.80  		| (623) $false
% 28.15/7.80  		|
% 28.15/7.80  		|-The branch is then unsatisfiable
% 28.15/7.80  	|-Branch two:
% 28.15/7.80  	| (1214) in(all_70_0_67, all_186_1_192)
% 28.15/7.80  	| (1215) in(all_130_1_139, all_25_0_22) & in(all_70_0_67, all_186_0_191)
% 28.15/7.80  	|
% 28.15/7.80  		| Applying alpha-rule on (1215) yields:
% 28.15/7.80  		| (1216) in(all_130_1_139, all_25_0_22)
% 28.15/7.80  		| (1217) in(all_70_0_67, all_186_0_191)
% 28.15/7.80  		|
% 28.15/7.80  		| Instantiating formula (82) with all_130_1_139, all_0_11_11 and discharging atoms apply(all_0_10_10, all_130_1_139) = all_0_11_11, in(all_130_1_139, all_25_0_22),  ~ in(all_0_11_11, all_0_9_9), yields:
% 28.15/7.80  		| (623) $false
% 28.15/7.80  		|
% 28.15/7.80  		|-The branch is then unsatisfiable
% 28.15/7.80  % SZS output end Proof for theBenchmark
% 28.15/7.80  
% 28.15/7.80  7211ms
%------------------------------------------------------------------------------