TSTP Solution File: SEU013+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU013+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 08:46:11 EDT 2022
% Result : Theorem 5.31s 1.96s
% Output : Proof 18.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU013+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jun 19 00:10:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.57 ____ _
% 0.55/0.57 ___ / __ \_____(_)___ ________ __________
% 0.55/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.55/0.57
% 0.55/0.57 A Theorem Prover for First-Order Logic
% 0.55/0.57 (ePrincess v.1.0)
% 0.55/0.57
% 0.55/0.57 (c) Philipp Rümmer, 2009-2015
% 0.55/0.57 (c) Peter Backeman, 2014-2015
% 0.55/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.57 Bug reports to peter@backeman.se
% 0.55/0.57
% 0.55/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.57
% 0.55/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.60/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.64/0.95 Prover 0: Preprocessing ...
% 2.32/1.20 Prover 0: Warning: ignoring some quantifiers
% 2.32/1.23 Prover 0: Constructing countermodel ...
% 5.31/1.96 Prover 0: proved (1333ms)
% 5.31/1.96
% 5.31/1.96 No countermodel exists, formula is valid
% 5.31/1.96 % SZS status Theorem for theBenchmark
% 5.31/1.96
% 5.31/1.96 Generating proof ... Warning: ignoring some quantifiers
% 16.32/4.57 found it (size 1065)
% 16.32/4.57
% 16.32/4.57 % SZS output start Proof for theBenchmark
% 16.32/4.57 Assumed formulas after preprocessing and simplification:
% 16.32/4.57 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_composition(v0, v1) = v2 & relation_empty_yielding(v3) & relation_empty_yielding(empty_set) & one_to_one(v1) & one_to_one(v0) & relation(v8) & relation(v7) & relation(v5) & relation(v3) & relation(v1) & relation(v0) & relation(empty_set) & function(v8) & function(v1) & function(v0) & empty(v7) & empty(v6) & empty(empty_set) & ~ one_to_one(v2) & ~ empty(v5) & ~ empty(v4) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (relation_dom(v9) = v10) | ~ (apply(v9, v12) = v13) | ~ (apply(v9, v11) = v13) | ~ one_to_one(v9) | ~ relation(v9) | ~ function(v9) | ~ in(v12, v10) | ~ in(v11, v10)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (relation_composition(v11, v10) = v12) | ~ (apply(v12, v9) = v13) | ~ relation(v11) | ~ relation(v10) | ~ function(v11) | ~ function(v10) | ? [v14] : ? [v15] : ? [v16] : (relation_dom(v12) = v14 & apply(v11, v9) = v15 & apply(v10, v15) = v16 & (v16 = v13 | ~ in(v9, v14)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (relation_dom(v10) = v11) | ~ (apply(v12, v9) = v13) | ~ relation(v12) | ~ relation(v10) | ~ function(v12) | ~ function(v10) | ? [v14] : ? [v15] : ? [v16] : (relation_composition(v12, v10) = v14 & relation_dom(v14) = v15 & relation_dom(v12) = v16 & ( ~ in(v13, v11) | ~ in(v9, v16) | in(v9, v15)) & ( ~ in(v9, v15) | (in(v13, v11) & in(v9, v16))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (apply(v11, v9) = v12) | ~ (apply(v10, v12) = v13) | ~ relation(v11) | ~ relation(v10) | ~ function(v11) | ~ function(v10) | ? [v14] : ? [v15] : ? [v16] : (relation_composition(v11, v10) = v14 & relation_dom(v14) = v15 & apply(v14, v9) = v16 & (v16 = v13 | ~ in(v9, v15)))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (relation_composition(v12, v10) = v13) | ~ (relation_dom(v10) = v11) | ~ relation(v12) | ~ relation(v10) | ~ function(v12) | ~ function(v10) | ? [v14] : ? [v15] : ? [v16] : (relation_dom(v13) = v14 & relation_dom(v12) = v15 & apply(v12, v9) = v16 & ( ~ in(v16, v11) | ~ in(v9, v15) | in(v9, v14)) & ( ~ in(v9, v14) | (in(v16, v11) & in(v9, v15))))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (relation_dom(v12) = v13) | ~ (relation_dom(v10) = v11) | ~ relation(v12) | ~ relation(v10) | ~ function(v12) | ~ function(v10) | ? [v14] : ? [v15] : ? [v16] : (relation_composition(v12, v10) = v14 & relation_dom(v14) = v15 & apply(v12, v9) = v16 & ( ~ in(v16, v11) | ~ in(v9, v13) | in(v9, v15)) & ( ~ in(v9, v15) | (in(v16, v11) & in(v9, v13))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (relation_composition(v12, v11) = v10) | ~ (relation_composition(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (apply(v12, v11) = v10) | ~ (apply(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (powerset(v11) = v12) | ~ element(v10, v12) | ~ empty(v11) | ~ in(v9, v10)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (powerset(v11) = v12) | ~ element(v10, v12) | ~ in(v9, v10) | element(v9, v11)) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (relation_composition(v11, v10) = v12) | ~ relation(v11) | ~ relation(v10) | ~ function(v11) | ~ function(v10) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (relation_dom(v12) = v13 & apply(v12, v9) = v14 & apply(v11, v9) = v15 & apply(v10, v15) = v16 & (v16 = v14 | ~ in(v9, v13)))) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (powerset(v11) = v10) | ~ (powerset(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (relation_dom(v11) = v10) | ~ (relation_dom(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (powerset(v10) = v11) | ~ subset(v9, v10) | element(v9, v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (powerset(v10) = v11) | ~ element(v9, v11) | subset(v9, v10)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (relation_composition(v10, v9) = v11) | ~ relation(v10) | ~ empty(v9) | relation(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (relation_composition(v10, v9) = v11) | ~ relation(v10) | ~ empty(v9) | empty(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (relation_composition(v9, v10) = v11) | ~ relation(v10) | ~ relation(v9) | ~ function(v10) | ~ function(v9) | relation(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (relation_composition(v9, v10) = v11) | ~ relation(v10) | ~ relation(v9) | ~ function(v10) | ~ function(v9) | function(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (relation_composition(v9, v10) = v11) | ~ relation(v10) | ~ relation(v9) | relation(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (relation_composition(v9, v10) = v11) | ~ relation(v10) | ~ empty(v9) | relation(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (relation_composition(v9, v10) = v11) | ~ relation(v10) | ~ empty(v9) | empty(v11)) & ! [v9] : ! [v10] : (v10 = v9 | ~ empty(v10) | ~ empty(v9)) & ! [v9] : ! [v10] : ( ~ (powerset(v9) = v10) | ~ empty(v10)) & ! [v9] : ! [v10] : ( ~ (powerset(v9) = v10) | empty(v9) | ? [v11] : (element(v11, v10) & ~ empty(v11))) & ! [v9] : ! [v10] : ( ~ (powerset(v9) = v10) | ? [v11] : (element(v11, v10) & empty(v11))) & ! [v9] : ! [v10] : ( ~ (relation_dom(v9) = v10) | ~ relation(v9) | ~ function(v9) | one_to_one(v9) | ? [v11] : ? [v12] : ? [v13] : ( ~ (v12 = v11) & apply(v9, v12) = v13 & apply(v9, v11) = v13 & in(v12, v10) & in(v11, v10))) & ! [v9] : ! [v10] : ( ~ (relation_dom(v9) = v10) | ~ relation(v9) | ~ empty(v10) | empty(v9)) & ! [v9] : ! [v10] : ( ~ (relation_dom(v9) = v10) | ~ empty(v9) | relation(v10)) & ! [v9] : ! [v10] : ( ~ (relation_dom(v9) = v10) | ~ empty(v9) | empty(v10)) & ! [v9] : ! [v10] : ( ~ element(v9, v10) | empty(v10) | in(v9, v10)) & ! [v9] : ! [v10] : ( ~ empty(v10) | ~ in(v9, v10)) & ! [v9] : ! [v10] : ( ~ in(v10, v9) | ~ in(v9, v10)) & ! [v9] : ! [v10] : ( ~ in(v9, v10) | element(v9, v10)) & ! [v9] : (v9 = empty_set | ~ empty(v9)) & ! [v9] : ( ~ empty(v9) | relation(v9)) & ! [v9] : ( ~ empty(v9) | function(v9)) & ? [v9] : ? [v10] : element(v10, v9) & ? [v9] : subset(v9, v9))
% 16.64/4.62 | 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 yields:
% 16.64/4.62 | (1) relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6 & relation_empty_yielding(all_0_5_5) & relation_empty_yielding(empty_set) & one_to_one(all_0_7_7) & one_to_one(all_0_8_8) & relation(all_0_0_0) & relation(all_0_1_1) & relation(all_0_3_3) & relation(all_0_5_5) & relation(all_0_7_7) & relation(all_0_8_8) & relation(empty_set) & function(all_0_0_0) & function(all_0_7_7) & function(all_0_8_8) & empty(all_0_1_1) & empty(all_0_2_2) & empty(empty_set) & ~ one_to_one(all_0_6_6) & ~ empty(all_0_3_3) & ~ empty(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (relation_dom(v0) = v1) | ~ (apply(v0, v3) = v4) | ~ (apply(v0, v2) = v4) | ~ one_to_one(v0) | ~ relation(v0) | ~ function(v0) | ~ in(v3, v1) | ~ in(v2, v1)) & ! [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_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_dom(v0) = v1) | ~ relation(v0) | ~ function(v0) | one_to_one(v0) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v3 = v2) & apply(v0, v3) = v4 & apply(v0, v2) = v4 & in(v3, v1) & in(v2, 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)
% 16.64/4.63 |
% 16.64/4.63 | Applying alpha-rule on (1) yields:
% 16.64/4.63 | (2) ! [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)))))
% 16.64/4.63 | (3) relation(all_0_3_3)
% 16.64/4.63 | (4) ! [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))))
% 16.64/4.64 | (5) empty(empty_set)
% 16.64/4.64 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_composition(v3, v2) = v1) | ~ (relation_composition(v3, v2) = v0))
% 16.64/4.64 | (7) ! [v0] : ! [v1] : ( ~ (relation_dom(v0) = v1) | ~ relation(v0) | ~ function(v0) | one_to_one(v0) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v3 = v2) & apply(v0, v3) = v4 & apply(v0, v2) = v4 & in(v3, v1) & in(v2, v1)))
% 16.64/4.64 | (8) one_to_one(all_0_7_7)
% 16.64/4.64 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ~ relation(v1) | ~ empty(v0) | empty(v2))
% 16.64/4.64 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ~ relation(v1) | ~ relation(v0) | ~ function(v1) | ~ function(v0) | relation(v2))
% 16.64/4.64 | (11) relation_empty_yielding(all_0_5_5)
% 16.64/4.64 | (12) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) | ? [v2] : (element(v2, v1) & ~ empty(v2)))
% 16.64/4.64 | (13) ! [v0] : ! [v1] : ( ~ (relation_dom(v0) = v1) | ~ empty(v0) | relation(v1))
% 16.64/4.64 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ element(v0, v2) | subset(v0, v1))
% 16.64/4.64 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ subset(v0, v1) | element(v0, v2))
% 16.64/4.64 | (16) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ~ empty(v1))
% 16.64/4.64 | (17) ! [v0] : ! [v1] : (v1 = v0 | ~ empty(v1) | ~ empty(v0))
% 16.64/4.64 | (18) function(all_0_7_7)
% 16.64/4.64 | (19) ! [v0] : ! [v1] : ( ~ empty(v1) | ~ in(v0, v1))
% 16.64/4.64 | (20) function(all_0_8_8)
% 16.64/4.64 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ~ relation(v1) | ~ relation(v0) | ~ function(v1) | ~ function(v0) | function(v2))
% 16.64/4.64 | (22) ? [v0] : subset(v0, v0)
% 16.64/4.64 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ element(v1, v3) | ~ empty(v2) | ~ in(v0, v1))
% 16.64/4.64 | (24) relation(all_0_0_0)
% 16.64/4.64 | (25) empty(all_0_1_1)
% 16.64/4.64 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0))
% 16.64/4.64 | (27) relation(all_0_1_1)
% 16.64/4.64 | (28) relation(all_0_8_8)
% 16.64/4.64 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ~ relation(v1) | ~ empty(v0) | relation(v2))
% 16.64/4.64 | (30) ! [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))))
% 16.64/4.64 | (31) ! [v0] : ( ~ empty(v0) | relation(v0))
% 16.64/4.64 | (32) ! [v0] : ( ~ empty(v0) | function(v0))
% 16.64/4.64 | (33) ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1))
% 16.64/4.64 | (34) ? [v0] : ? [v1] : element(v1, v0)
% 16.64/4.64 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (relation_dom(v0) = v1) | ~ (apply(v0, v3) = v4) | ~ (apply(v0, v2) = v4) | ~ one_to_one(v0) | ~ relation(v0) | ~ function(v0) | ~ in(v3, v1) | ~ in(v2, v1))
% 16.64/4.64 | (36) ? [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)))))
% 16.64/4.64 | (37) empty(all_0_2_2)
% 16.64/4.64 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0))
% 16.64/4.64 | (39) ! [v0] : ! [v1] : ( ~ (relation_dom(v0) = v1) | ~ relation(v0) | ~ empty(v1) | empty(v0))
% 16.64/4.64 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v1, v0) = v2) | ~ relation(v1) | ~ empty(v0) | relation(v2))
% 16.64/4.64 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ~ relation(v1) | ~ relation(v0) | relation(v2))
% 16.64/4.64 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ element(v1, v3) | ~ in(v0, v1) | element(v0, v2))
% 16.64/4.64 | (43) ~ empty(all_0_3_3)
% 16.64/4.64 | (44) relation(all_0_5_5)
% 16.64/4.64 | (45) relation(empty_set)
% 16.64/4.64 | (46) ! [v0] : ! [v1] : ( ~ (relation_dom(v0) = v1) | ~ empty(v0) | empty(v1))
% 16.64/4.64 | (47) ~ empty(all_0_4_4)
% 16.64/4.65 | (48) function(all_0_0_0)
% 16.64/4.65 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v1, v0) = v2) | ~ relation(v1) | ~ empty(v0) | empty(v2))
% 16.64/4.65 | (50) relation_empty_yielding(empty_set)
% 16.64/4.65 | (51) ! [v0] : (v0 = empty_set | ~ empty(v0))
% 16.64/4.65 | (52) relation(all_0_7_7)
% 16.64/4.65 | (53) one_to_one(all_0_8_8)
% 16.64/4.65 | (54) ? [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)))))
% 16.64/4.65 | (55) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (element(v2, v1) & empty(v2)))
% 16.64/4.65 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0))
% 16.64/4.65 | (57) ! [v0] : ! [v1] : ( ~ in(v0, v1) | element(v0, v1))
% 16.64/4.65 | (58) ? [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))))
% 16.64/4.65 | (59) ~ one_to_one(all_0_6_6)
% 16.64/4.65 | (60) relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6
% 16.64/4.65 | (61) ! [v0] : ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1))
% 16.64/4.65 |
% 16.64/4.65 | Instantiating (58) with all_5_0_11 yields:
% 16.64/4.65 | (62) ! [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_11) = v4 & apply(v1, all_5_0_11) = v5 & apply(v0, v5) = v6 & (v6 = v4 | ~ in(all_5_0_11, v3))))
% 16.64/4.65 |
% 16.64/4.65 | Instantiating (36) with all_7_0_12 yields:
% 16.64/4.65 | (63) ! [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_12) = v6 & ( ~ in(v6, v1) | ~ in(all_7_0_12, v3) | in(all_7_0_12, v5)) & ( ~ in(all_7_0_12, v5) | (in(v6, v1) & in(all_7_0_12, v3)))))
% 16.64/4.65 |
% 16.64/4.65 | Instantiating (54) with all_11_0_14 yields:
% 16.64/4.65 | (64) ! [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_14) = v6 & ( ~ in(v6, v1) | ~ in(all_11_0_14, v5) | in(all_11_0_14, v4)) & ( ~ in(all_11_0_14, v4) | (in(v6, v1) & in(all_11_0_14, v5)))))
% 16.64/4.65 |
% 16.64/4.65 | Instantiating formula (10) with all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.64/4.65 | (65) relation(all_0_6_6)
% 16.64/4.65 |
% 16.64/4.65 | Instantiating formula (21) with all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.64/4.65 | (66) function(all_0_6_6)
% 16.64/4.65 |
% 16.64/4.65 | Instantiating formula (62) with all_0_6_6, all_0_8_8, all_0_7_7 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.64/4.65 | (67) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (relation_dom(all_0_6_6) = v0 & apply(all_0_6_6, all_5_0_11) = v1 & apply(all_0_7_7, v2) = v3 & apply(all_0_8_8, all_5_0_11) = v2 & (v3 = v1 | ~ in(all_5_0_11, v0)))
% 16.64/4.65 |
% 16.64/4.65 | Instantiating (67) with all_23_0_15, all_23_1_16, all_23_2_17, all_23_3_18 yields:
% 16.64/4.65 | (68) relation_dom(all_0_6_6) = all_23_3_18 & apply(all_0_6_6, all_5_0_11) = all_23_2_17 & apply(all_0_7_7, all_23_1_16) = all_23_0_15 & apply(all_0_8_8, all_5_0_11) = all_23_1_16 & (all_23_0_15 = all_23_2_17 | ~ in(all_5_0_11, all_23_3_18))
% 16.64/4.65 |
% 16.64/4.65 | Applying alpha-rule on (68) yields:
% 16.64/4.65 | (69) apply(all_0_6_6, all_5_0_11) = all_23_2_17
% 16.64/4.65 | (70) all_23_0_15 = all_23_2_17 | ~ in(all_5_0_11, all_23_3_18)
% 16.64/4.65 | (71) relation_dom(all_0_6_6) = all_23_3_18
% 16.64/4.65 | (72) apply(all_0_7_7, all_23_1_16) = all_23_0_15
% 16.64/4.65 | (73) apply(all_0_8_8, all_5_0_11) = all_23_1_16
% 16.64/4.66 |
% 16.64/4.66 | Instantiating formula (4) with all_23_2_17, all_0_6_6, all_0_8_8, all_0_7_7, all_5_0_11 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, apply(all_0_6_6, all_5_0_11) = all_23_2_17, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.64/4.66 | (74) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_0_6_6) = v0 & apply(all_0_7_7, v1) = v2 & apply(all_0_8_8, all_5_0_11) = v1 & (v2 = all_23_2_17 | ~ in(all_5_0_11, v0)))
% 16.64/4.66 |
% 16.64/4.66 | Instantiating formula (30) with all_23_0_15, all_23_1_16, all_0_8_8, all_0_7_7, all_5_0_11 and discharging atoms apply(all_0_7_7, all_23_1_16) = all_23_0_15, apply(all_0_8_8, all_5_0_11) = all_23_1_16, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.64/4.66 | (75) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_0_7_7) = v0 & relation_dom(v0) = v1 & apply(v0, all_5_0_11) = v2 & (v2 = all_23_0_15 | ~ in(all_5_0_11, v1)))
% 16.64/4.66 |
% 16.64/4.66 | Instantiating formula (2) with all_23_2_17, all_0_6_6, all_23_3_18, all_0_6_6, all_5_0_11 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_6_6, all_5_0_11) = all_23_2_17, relation(all_0_6_6), function(all_0_6_6), yields:
% 16.64/4.66 | (76) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_23_2_17, all_23_3_18) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_2_17, all_23_3_18) & in(all_5_0_11, v2))))
% 16.64/4.66 |
% 16.64/4.66 | Instantiating formula (63) with all_23_3_18, all_0_6_6, all_23_3_18, all_0_6_6 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, relation(all_0_6_6), function(all_0_6_6), yields:
% 16.64/4.66 | (77) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_6_6) = v0 & relation_dom(v0) = v1 & apply(all_0_6_6, all_7_0_12) = v2 & ( ~ in(v2, all_23_3_18) | ~ in(all_7_0_12, all_23_3_18) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(v2, all_23_3_18) & in(all_7_0_12, all_23_3_18))))
% 16.64/4.66 |
% 16.64/4.66 | Instantiating formula (2) with all_23_0_15, all_0_7_7, all_23_3_18, all_0_6_6, all_23_1_16 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_7_7, all_23_1_16) = all_23_0_15, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 16.64/4.66 | (78) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_0_15, all_23_3_18) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_23_0_15, all_23_3_18) & in(all_23_1_16, v2))))
% 16.64/4.66 |
% 16.64/4.66 | Instantiating formula (2) with all_23_1_16, all_0_8_8, all_23_3_18, all_0_6_6, all_5_0_11 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_8_8, all_5_0_11) = all_23_1_16, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 16.64/4.66 | (79) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_23_1_16, all_23_3_18) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_1_16, all_23_3_18) & in(all_5_0_11, v2))))
% 16.64/4.66 |
% 16.64/4.66 | Instantiating formula (7) with all_23_3_18, all_0_6_6 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, relation(all_0_6_6), function(all_0_6_6), ~ one_to_one(all_0_6_6), yields:
% 16.64/4.66 | (80) ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = v0) & apply(all_0_6_6, v1) = v2 & apply(all_0_6_6, v0) = v2 & in(v1, all_23_3_18) & in(v0, all_23_3_18))
% 16.64/4.66 |
% 16.64/4.66 | Instantiating (80) with all_30_0_19, all_30_1_20, all_30_2_21 yields:
% 16.64/4.66 | (81) ~ (all_30_1_20 = all_30_2_21) & apply(all_0_6_6, all_30_1_20) = all_30_0_19 & apply(all_0_6_6, all_30_2_21) = all_30_0_19 & in(all_30_1_20, all_23_3_18) & in(all_30_2_21, all_23_3_18)
% 16.64/4.66 |
% 16.64/4.66 | Applying alpha-rule on (81) yields:
% 16.64/4.66 | (82) ~ (all_30_1_20 = all_30_2_21)
% 16.64/4.66 | (83) apply(all_0_6_6, all_30_2_21) = all_30_0_19
% 16.64/4.66 | (84) in(all_30_1_20, all_23_3_18)
% 16.64/4.66 | (85) in(all_30_2_21, all_23_3_18)
% 16.64/4.66 | (86) apply(all_0_6_6, all_30_1_20) = all_30_0_19
% 16.64/4.66 |
% 16.64/4.66 | Instantiating (79) with all_32_0_22, all_32_1_23, all_32_2_24 yields:
% 16.64/4.66 | (87) relation_composition(all_0_8_8, all_0_6_6) = all_32_2_24 & relation_dom(all_32_2_24) = all_32_1_23 & relation_dom(all_0_8_8) = all_32_0_22 & ( ~ in(all_23_1_16, all_23_3_18) | ~ in(all_5_0_11, all_32_0_22) | in(all_5_0_11, all_32_1_23)) & ( ~ in(all_5_0_11, all_32_1_23) | (in(all_23_1_16, all_23_3_18) & in(all_5_0_11, all_32_0_22)))
% 16.95/4.66 |
% 16.95/4.66 | Applying alpha-rule on (87) yields:
% 16.95/4.66 | (88) relation_composition(all_0_8_8, all_0_6_6) = all_32_2_24
% 16.95/4.66 | (89) ~ in(all_5_0_11, all_32_1_23) | (in(all_23_1_16, all_23_3_18) & in(all_5_0_11, all_32_0_22))
% 16.95/4.66 | (90) relation_dom(all_0_8_8) = all_32_0_22
% 16.95/4.66 | (91) relation_dom(all_32_2_24) = all_32_1_23
% 16.95/4.66 | (92) ~ in(all_23_1_16, all_23_3_18) | ~ in(all_5_0_11, all_32_0_22) | in(all_5_0_11, all_32_1_23)
% 16.95/4.66 |
% 16.95/4.66 | Instantiating (77) with all_34_0_25, all_34_1_26, all_34_2_27 yields:
% 16.95/4.66 | (93) relation_composition(all_0_6_6, all_0_6_6) = all_34_2_27 & relation_dom(all_34_2_27) = all_34_1_26 & apply(all_0_6_6, all_7_0_12) = all_34_0_25 & ( ~ in(all_34_0_25, all_23_3_18) | ~ in(all_7_0_12, all_23_3_18) | in(all_7_0_12, all_34_1_26)) & ( ~ in(all_7_0_12, all_34_1_26) | (in(all_34_0_25, all_23_3_18) & in(all_7_0_12, all_23_3_18)))
% 16.95/4.66 |
% 16.95/4.66 | Applying alpha-rule on (93) yields:
% 16.95/4.66 | (94) apply(all_0_6_6, all_7_0_12) = all_34_0_25
% 16.95/4.66 | (95) relation_dom(all_34_2_27) = all_34_1_26
% 16.95/4.67 | (96) ~ in(all_34_0_25, all_23_3_18) | ~ in(all_7_0_12, all_23_3_18) | in(all_7_0_12, all_34_1_26)
% 16.95/4.67 | (97) relation_composition(all_0_6_6, all_0_6_6) = all_34_2_27
% 16.95/4.67 | (98) ~ in(all_7_0_12, all_34_1_26) | (in(all_34_0_25, all_23_3_18) & in(all_7_0_12, all_23_3_18))
% 16.95/4.67 |
% 16.95/4.67 | Instantiating (76) with all_36_0_28, all_36_1_29, all_36_2_30 yields:
% 16.95/4.67 | (99) relation_composition(all_0_6_6, all_0_6_6) = all_36_2_30 & relation_dom(all_36_2_30) = all_36_1_29 & relation_dom(all_0_6_6) = all_36_0_28 & ( ~ in(all_23_2_17, all_23_3_18) | ~ in(all_5_0_11, all_36_0_28) | in(all_5_0_11, all_36_1_29)) & ( ~ in(all_5_0_11, all_36_1_29) | (in(all_23_2_17, all_23_3_18) & in(all_5_0_11, all_36_0_28)))
% 16.95/4.67 |
% 16.95/4.67 | Applying alpha-rule on (99) yields:
% 16.95/4.67 | (100) ~ in(all_23_2_17, all_23_3_18) | ~ in(all_5_0_11, all_36_0_28) | in(all_5_0_11, all_36_1_29)
% 16.95/4.67 | (101) relation_composition(all_0_6_6, all_0_6_6) = all_36_2_30
% 16.95/4.67 | (102) relation_dom(all_0_6_6) = all_36_0_28
% 16.95/4.67 | (103) relation_dom(all_36_2_30) = all_36_1_29
% 16.95/4.67 | (104) ~ in(all_5_0_11, all_36_1_29) | (in(all_23_2_17, all_23_3_18) & in(all_5_0_11, all_36_0_28))
% 16.95/4.67 |
% 16.95/4.67 | Instantiating (78) with all_38_0_31, all_38_1_32, all_38_2_33 yields:
% 16.95/4.67 | (105) relation_composition(all_0_7_7, all_0_6_6) = all_38_2_33 & relation_dom(all_38_2_33) = all_38_1_32 & relation_dom(all_0_7_7) = all_38_0_31 & ( ~ in(all_23_0_15, all_23_3_18) | ~ in(all_23_1_16, all_38_0_31) | in(all_23_1_16, all_38_1_32)) & ( ~ in(all_23_1_16, all_38_1_32) | (in(all_23_0_15, all_23_3_18) & in(all_23_1_16, all_38_0_31)))
% 16.95/4.67 |
% 16.95/4.67 | Applying alpha-rule on (105) yields:
% 16.95/4.67 | (106) relation_dom(all_0_7_7) = all_38_0_31
% 16.95/4.67 | (107) ~ in(all_23_0_15, all_23_3_18) | ~ in(all_23_1_16, all_38_0_31) | in(all_23_1_16, all_38_1_32)
% 16.95/4.67 | (108) relation_composition(all_0_7_7, all_0_6_6) = all_38_2_33
% 16.95/4.67 | (109) relation_dom(all_38_2_33) = all_38_1_32
% 16.95/4.67 | (110) ~ in(all_23_1_16, all_38_1_32) | (in(all_23_0_15, all_23_3_18) & in(all_23_1_16, all_38_0_31))
% 16.95/4.67 |
% 16.95/4.67 | Instantiating (75) with all_40_0_34, all_40_1_35, all_40_2_36 yields:
% 16.95/4.67 | (111) relation_composition(all_0_8_8, all_0_7_7) = all_40_2_36 & relation_dom(all_40_2_36) = all_40_1_35 & apply(all_40_2_36, all_5_0_11) = all_40_0_34 & (all_40_0_34 = all_23_0_15 | ~ in(all_5_0_11, all_40_1_35))
% 16.95/4.67 |
% 16.95/4.67 | Applying alpha-rule on (111) yields:
% 16.95/4.67 | (112) relation_composition(all_0_8_8, all_0_7_7) = all_40_2_36
% 16.95/4.67 | (113) relation_dom(all_40_2_36) = all_40_1_35
% 16.95/4.67 | (114) apply(all_40_2_36, all_5_0_11) = all_40_0_34
% 16.95/4.67 | (115) all_40_0_34 = all_23_0_15 | ~ in(all_5_0_11, all_40_1_35)
% 16.95/4.67 |
% 16.95/4.67 | Instantiating (74) with all_42_0_37, all_42_1_38, all_42_2_39 yields:
% 16.95/4.67 | (116) relation_dom(all_0_6_6) = all_42_2_39 & apply(all_0_7_7, all_42_1_38) = all_42_0_37 & apply(all_0_8_8, all_5_0_11) = all_42_1_38 & (all_42_0_37 = all_23_2_17 | ~ in(all_5_0_11, all_42_2_39))
% 16.95/4.67 |
% 16.95/4.67 | Applying alpha-rule on (116) yields:
% 16.95/4.67 | (117) relation_dom(all_0_6_6) = all_42_2_39
% 16.95/4.67 | (118) apply(all_0_7_7, all_42_1_38) = all_42_0_37
% 16.95/4.67 | (119) apply(all_0_8_8, all_5_0_11) = all_42_1_38
% 16.95/4.67 | (120) all_42_0_37 = all_23_2_17 | ~ in(all_5_0_11, all_42_2_39)
% 16.95/4.67 |
% 16.95/4.67 | Instantiating formula (6) with all_0_6_6, all_0_6_6, all_34_2_27, all_36_2_30 and discharging atoms relation_composition(all_0_6_6, all_0_6_6) = all_36_2_30, relation_composition(all_0_6_6, all_0_6_6) = all_34_2_27, yields:
% 16.95/4.67 | (121) all_36_2_30 = all_34_2_27
% 16.95/4.67 |
% 16.95/4.67 | Instantiating formula (6) with all_0_8_8, all_0_7_7, all_40_2_36, all_0_6_6 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_40_2_36, relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, yields:
% 16.95/4.67 | (122) all_40_2_36 = all_0_6_6
% 16.95/4.67 |
% 16.95/4.67 | Instantiating formula (26) with all_0_6_6, all_42_2_39, all_23_3_18 and discharging atoms relation_dom(all_0_6_6) = all_42_2_39, relation_dom(all_0_6_6) = all_23_3_18, yields:
% 16.95/4.67 | (123) all_42_2_39 = all_23_3_18
% 16.95/4.67 |
% 16.95/4.67 | Instantiating formula (26) with all_0_6_6, all_36_0_28, all_42_2_39 and discharging atoms relation_dom(all_0_6_6) = all_42_2_39, relation_dom(all_0_6_6) = all_36_0_28, yields:
% 16.95/4.67 | (124) all_42_2_39 = all_36_0_28
% 16.95/4.67 |
% 16.95/4.67 | Instantiating formula (38) with all_0_8_8, all_5_0_11, all_42_1_38, all_23_1_16 and discharging atoms apply(all_0_8_8, all_5_0_11) = all_42_1_38, apply(all_0_8_8, all_5_0_11) = all_23_1_16, yields:
% 16.95/4.67 | (125) all_42_1_38 = all_23_1_16
% 16.95/4.67 |
% 16.95/4.67 | Combining equations (123,124) yields a new equation:
% 16.95/4.67 | (126) all_36_0_28 = all_23_3_18
% 16.95/4.67 |
% 16.95/4.67 | From (121) and (101) follows:
% 16.95/4.67 | (97) relation_composition(all_0_6_6, all_0_6_6) = all_34_2_27
% 16.95/4.67 |
% 16.95/4.67 | From (122) and (112) follows:
% 16.95/4.67 | (60) relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6
% 16.95/4.67 |
% 16.95/4.67 | From (122) and (113) follows:
% 16.95/4.68 | (129) relation_dom(all_0_6_6) = all_40_1_35
% 16.95/4.68 |
% 16.95/4.68 | From (121) and (103) follows:
% 16.95/4.68 | (130) relation_dom(all_34_2_27) = all_36_1_29
% 16.95/4.68 |
% 16.95/4.68 | From (126) and (102) follows:
% 16.95/4.68 | (71) relation_dom(all_0_6_6) = all_23_3_18
% 16.95/4.68 |
% 16.95/4.68 | From (122) and (114) follows:
% 16.95/4.68 | (132) apply(all_0_6_6, all_5_0_11) = all_40_0_34
% 16.95/4.68 |
% 16.95/4.68 | From (125) and (118) follows:
% 16.95/4.68 | (133) apply(all_0_7_7, all_23_1_16) = all_42_0_37
% 16.95/4.68 |
% 16.95/4.68 | From (125) and (119) follows:
% 16.95/4.68 | (73) apply(all_0_8_8, all_5_0_11) = all_23_1_16
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (26) with all_34_2_27, all_36_1_29, all_34_1_26 and discharging atoms relation_dom(all_34_2_27) = all_36_1_29, relation_dom(all_34_2_27) = all_34_1_26, yields:
% 16.95/4.68 | (135) all_36_1_29 = all_34_1_26
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (26) with all_0_6_6, all_40_1_35, all_23_3_18 and discharging atoms relation_dom(all_0_6_6) = all_40_1_35, relation_dom(all_0_6_6) = all_23_3_18, yields:
% 16.95/4.68 | (136) all_40_1_35 = all_23_3_18
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (38) with all_0_6_6, all_5_0_11, all_40_0_34, all_23_2_17 and discharging atoms apply(all_0_6_6, all_5_0_11) = all_40_0_34, apply(all_0_6_6, all_5_0_11) = all_23_2_17, yields:
% 16.95/4.68 | (137) all_40_0_34 = all_23_2_17
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (38) with all_0_7_7, all_23_1_16, all_42_0_37, all_23_0_15 and discharging atoms apply(all_0_7_7, all_23_1_16) = all_42_0_37, apply(all_0_7_7, all_23_1_16) = all_23_0_15, yields:
% 16.95/4.68 | (138) all_42_0_37 = all_23_0_15
% 16.95/4.68 |
% 16.95/4.68 | From (135) and (130) follows:
% 16.95/4.68 | (95) relation_dom(all_34_2_27) = all_34_1_26
% 16.95/4.68 |
% 16.95/4.68 | From (136) and (129) follows:
% 16.95/4.68 | (71) relation_dom(all_0_6_6) = all_23_3_18
% 16.95/4.68 |
% 16.95/4.68 | From (137) and (132) follows:
% 16.95/4.68 | (69) apply(all_0_6_6, all_5_0_11) = all_23_2_17
% 16.95/4.68 |
% 16.95/4.68 | From (138) and (133) follows:
% 16.95/4.68 | (72) apply(all_0_7_7, all_23_1_16) = all_23_0_15
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (64) with all_34_2_27, all_0_6_6, all_23_3_18, all_0_6_6 and discharging atoms relation_composition(all_0_6_6, all_0_6_6) = all_34_2_27, relation_dom(all_0_6_6) = all_23_3_18, relation(all_0_6_6), function(all_0_6_6), yields:
% 16.95/4.68 | (143) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_34_2_27) = v0 & relation_dom(all_0_6_6) = v1 & apply(all_0_6_6, all_11_0_14) = v2 & ( ~ in(v2, all_23_3_18) | ~ in(all_11_0_14, v1) | in(all_11_0_14, v0)) & ( ~ in(all_11_0_14, v0) | (in(v2, all_23_3_18) & in(all_11_0_14, v1))))
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (21) with all_34_2_27, all_0_6_6, all_0_6_6 and discharging atoms relation_composition(all_0_6_6, all_0_6_6) = all_34_2_27, relation(all_0_6_6), function(all_0_6_6), yields:
% 16.95/4.68 | (144) function(all_34_2_27)
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (41) with all_34_2_27, all_0_6_6, all_0_6_6 and discharging atoms relation_composition(all_0_6_6, all_0_6_6) = all_34_2_27, relation(all_0_6_6), yields:
% 16.95/4.68 | (145) relation(all_34_2_27)
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (62) with all_34_2_27, all_0_6_6, all_0_6_6 and discharging atoms relation_composition(all_0_6_6, all_0_6_6) = all_34_2_27, relation(all_0_6_6), function(all_0_6_6), yields:
% 16.95/4.68 | (146) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (relation_dom(all_34_2_27) = v0 & apply(all_34_2_27, all_5_0_11) = v1 & apply(all_0_6_6, v2) = v3 & apply(all_0_6_6, all_5_0_11) = v2 & (v3 = v1 | ~ in(all_5_0_11, v0)))
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (64) with all_38_2_33, all_0_7_7, all_23_3_18, all_0_6_6 and discharging atoms relation_composition(all_0_7_7, all_0_6_6) = all_38_2_33, relation_dom(all_0_6_6) = all_23_3_18, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 16.95/4.68 | (147) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_38_2_33) = v0 & relation_dom(all_0_7_7) = v1 & apply(all_0_7_7, all_11_0_14) = v2 & ( ~ in(v2, all_23_3_18) | ~ in(all_11_0_14, v1) | in(all_11_0_14, v0)) & ( ~ in(all_11_0_14, v0) | (in(v2, all_23_3_18) & in(all_11_0_14, v1))))
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (21) with all_38_2_33, all_0_6_6, all_0_7_7 and discharging atoms relation_composition(all_0_7_7, all_0_6_6) = all_38_2_33, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 16.95/4.68 | (148) function(all_38_2_33)
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (41) with all_38_2_33, all_0_6_6, all_0_7_7 and discharging atoms relation_composition(all_0_7_7, all_0_6_6) = all_38_2_33, relation(all_0_6_6), relation(all_0_7_7), yields:
% 16.95/4.68 | (149) relation(all_38_2_33)
% 16.95/4.68 |
% 16.95/4.68 | Instantiating formula (62) with all_38_2_33, all_0_7_7, all_0_6_6 and discharging atoms relation_composition(all_0_7_7, all_0_6_6) = all_38_2_33, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 16.95/4.68 | (150) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (relation_dom(all_38_2_33) = v0 & apply(all_38_2_33, all_5_0_11) = v1 & apply(all_0_6_6, v2) = v3 & apply(all_0_7_7, all_5_0_11) = v2 & (v3 = v1 | ~ in(all_5_0_11, v0)))
% 16.95/4.68 |
% 16.95/4.69 | Instantiating formula (64) with all_32_2_24, all_0_8_8, all_23_3_18, all_0_6_6 and discharging atoms relation_composition(all_0_8_8, all_0_6_6) = all_32_2_24, relation_dom(all_0_6_6) = all_23_3_18, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 16.95/4.69 | (151) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_32_2_24) = v0 & relation_dom(all_0_8_8) = v1 & apply(all_0_8_8, all_11_0_14) = v2 & ( ~ in(v2, all_23_3_18) | ~ in(all_11_0_14, v1) | in(all_11_0_14, v0)) & ( ~ in(all_11_0_14, v0) | (in(v2, all_23_3_18) & in(all_11_0_14, v1))))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (21) with all_32_2_24, all_0_6_6, all_0_8_8 and discharging atoms relation_composition(all_0_8_8, all_0_6_6) = all_32_2_24, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 16.95/4.69 | (152) function(all_32_2_24)
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (41) with all_32_2_24, all_0_6_6, all_0_8_8 and discharging atoms relation_composition(all_0_8_8, all_0_6_6) = all_32_2_24, relation(all_0_6_6), relation(all_0_8_8), yields:
% 16.95/4.69 | (153) relation(all_32_2_24)
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (62) with all_32_2_24, all_0_8_8, all_0_6_6 and discharging atoms relation_composition(all_0_8_8, all_0_6_6) = all_32_2_24, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 16.95/4.69 | (154) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (relation_dom(all_32_2_24) = v0 & apply(all_32_2_24, all_5_0_11) = v1 & apply(all_0_6_6, v2) = v3 & apply(all_0_8_8, all_5_0_11) = v2 & (v3 = v1 | ~ in(all_5_0_11, v0)))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (2) with all_23_2_17, all_0_6_6, all_38_0_31, all_0_7_7, all_5_0_11 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_6_6, all_5_0_11) = all_23_2_17, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 16.95/4.69 | (155) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_23_2_17, all_38_0_31) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_2_17, all_38_0_31) & in(all_5_0_11, v2))))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (2) with all_23_0_15, all_0_7_7, all_38_0_31, all_0_7_7, all_23_1_16 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_7_7, all_23_1_16) = all_23_0_15, relation(all_0_7_7), function(all_0_7_7), yields:
% 16.95/4.69 | (156) ? [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_0_15, all_38_0_31) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_23_0_15, all_38_0_31) & in(all_23_1_16, v2))))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (2) with all_23_1_16, all_0_8_8, all_38_0_31, all_0_7_7, all_5_0_11 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_8_8, all_5_0_11) = all_23_1_16, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.95/4.69 | (157) ? [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_16, all_38_0_31) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_1_16, all_38_0_31) & in(all_5_0_11, v2))))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (64) with all_0_6_6, all_0_8_8, all_38_0_31, all_0_7_7 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, relation_dom(all_0_7_7) = all_38_0_31, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.95/4.69 | (158) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_0_6_6) = v0 & relation_dom(all_0_8_8) = v1 & apply(all_0_8_8, all_11_0_14) = v2 & ( ~ in(v2, all_38_0_31) | ~ in(all_11_0_14, v1) | in(all_11_0_14, v0)) & ( ~ in(all_11_0_14, v0) | (in(v2, all_38_0_31) & in(all_11_0_14, v1))))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (63) with all_23_3_18, all_0_6_6, all_38_0_31, all_0_7_7 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, relation_dom(all_0_7_7) = all_38_0_31, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 16.95/4.69 | (159) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_7_7) = v0 & relation_dom(v0) = v1 & apply(all_0_6_6, all_7_0_12) = v2 & ( ~ in(v2, all_38_0_31) | ~ in(all_7_0_12, all_23_3_18) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(v2, all_38_0_31) & in(all_7_0_12, all_23_3_18))))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (63) with all_38_0_31, all_0_7_7, all_23_3_18, all_0_6_6 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, relation_dom(all_0_7_7) = all_38_0_31, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 16.95/4.69 | (160) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_0_6_6) = v0 & relation_dom(v0) = v1 & apply(all_0_7_7, all_7_0_12) = v2 & ( ~ in(v2, all_23_3_18) | ~ in(all_7_0_12, all_38_0_31) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(v2, all_23_3_18) & in(all_7_0_12, all_38_0_31))))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (63) with all_38_0_31, all_0_7_7, all_38_0_31, all_0_7_7 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, relation(all_0_7_7), function(all_0_7_7), yields:
% 16.95/4.69 | (161) ? [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_12) = v2 & ( ~ in(v2, all_38_0_31) | ~ in(all_7_0_12, all_38_0_31) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(v2, all_38_0_31) & in(all_7_0_12, all_38_0_31))))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (2) with all_23_2_17, all_0_6_6, all_32_0_22, all_0_8_8, all_5_0_11 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_6_6, all_5_0_11) = all_23_2_17, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 16.95/4.69 | (162) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_23_2_17, all_32_0_22) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_2_17, all_32_0_22) & in(all_5_0_11, v2))))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (2) with all_23_0_15, all_0_7_7, all_32_0_22, all_0_8_8, all_23_1_16 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_7_7, all_23_1_16) = all_23_0_15, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.95/4.69 | (163) ? [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_0_15, all_32_0_22) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_23_0_15, all_32_0_22) & in(all_23_1_16, v2))))
% 16.95/4.69 |
% 16.95/4.69 | Instantiating formula (2) with all_23_1_16, all_0_8_8, all_32_0_22, all_0_8_8, all_5_0_11 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_8_8, all_5_0_11) = all_23_1_16, relation(all_0_8_8), function(all_0_8_8), yields:
% 16.95/4.70 | (164) ? [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_16, all_32_0_22) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_1_16, all_32_0_22) & in(all_5_0_11, v2))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (63) with all_23_3_18, all_0_6_6, all_32_0_22, all_0_8_8 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, relation_dom(all_0_8_8) = all_32_0_22, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 16.95/4.70 | (165) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_8_8) = v0 & relation_dom(v0) = v1 & apply(all_0_6_6, all_7_0_12) = v2 & ( ~ in(v2, all_32_0_22) | ~ in(all_7_0_12, all_23_3_18) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(v2, all_32_0_22) & in(all_7_0_12, all_23_3_18))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (63) with all_32_0_22, all_0_8_8, all_23_3_18, all_0_6_6 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, relation_dom(all_0_8_8) = all_32_0_22, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 16.95/4.70 | (166) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_0_6_6) = v0 & relation_dom(v0) = v1 & apply(all_0_8_8, all_7_0_12) = v2 & ( ~ in(v2, all_23_3_18) | ~ in(all_7_0_12, all_32_0_22) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(v2, all_23_3_18) & in(all_7_0_12, all_32_0_22))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (63) with all_38_0_31, all_0_7_7, all_32_0_22, all_0_8_8 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, relation_dom(all_0_8_8) = all_32_0_22, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.95/4.70 | (167) ? [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_12) = v2 & ( ~ in(v2, all_32_0_22) | ~ in(all_7_0_12, all_38_0_31) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(v2, all_32_0_22) & in(all_7_0_12, all_38_0_31))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (63) with all_32_0_22, all_0_8_8, all_38_0_31, all_0_7_7 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, relation_dom(all_0_8_8) = all_32_0_22, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.95/4.70 | (168) ? [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_12) = v2 & ( ~ in(v2, all_38_0_31) | ~ in(all_7_0_12, all_32_0_22) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(v2, all_38_0_31) & in(all_7_0_12, all_32_0_22))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (63) with all_32_0_22, all_0_8_8, all_32_0_22, all_0_8_8 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, relation(all_0_8_8), function(all_0_8_8), yields:
% 16.95/4.70 | (169) ? [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_12) = v2 & ( ~ in(v2, all_32_0_22) | ~ in(all_7_0_12, all_32_0_22) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(v2, all_32_0_22) & in(all_7_0_12, all_32_0_22))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (4) with all_30_0_19, all_0_6_6, all_0_8_8, all_0_7_7, all_30_1_20 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, apply(all_0_6_6, all_30_1_20) = all_30_0_19, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.95/4.70 | (170) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_0_6_6) = v0 & apply(all_0_7_7, v1) = v2 & apply(all_0_8_8, all_30_1_20) = v1 & (v2 = all_30_0_19 | ~ in(all_30_1_20, v0)))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_23_3_18, all_0_6_6, all_30_1_20 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_6_6, all_30_1_20) = all_30_0_19, relation(all_0_6_6), function(all_0_6_6), yields:
% 16.95/4.70 | (171) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_23_3_18) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_30_0_19, all_23_3_18) & in(all_30_1_20, v2))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_38_0_31, all_0_7_7, all_30_1_20 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_6_6, all_30_1_20) = all_30_0_19, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 16.95/4.70 | (172) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_38_0_31) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_30_0_19, all_38_0_31) & in(all_30_1_20, v2))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_32_0_22, all_0_8_8, all_30_1_20 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_6_6, all_30_1_20) = all_30_0_19, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 16.95/4.70 | (173) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_32_0_22) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_30_0_19, all_32_0_22) & in(all_30_1_20, v2))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (4) with all_30_0_19, all_0_6_6, all_0_8_8, all_0_7_7, all_30_2_21 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, apply(all_0_6_6, all_30_2_21) = all_30_0_19, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.95/4.70 | (174) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_0_6_6) = v0 & apply(all_0_7_7, v1) = v2 & apply(all_0_8_8, all_30_2_21) = v1 & (v2 = all_30_0_19 | ~ in(all_30_2_21, v0)))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_23_3_18, all_0_6_6, all_30_2_21 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_6_6, all_30_2_21) = all_30_0_19, relation(all_0_6_6), function(all_0_6_6), yields:
% 16.95/4.70 | (175) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_23_3_18) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_30_0_19, all_23_3_18) & in(all_30_2_21, v2))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_38_0_31, all_0_7_7, all_30_2_21 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_6_6, all_30_2_21) = all_30_0_19, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 16.95/4.70 | (176) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_38_0_31) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_30_0_19, all_38_0_31) & in(all_30_2_21, v2))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_32_0_22, all_0_8_8, all_30_2_21 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_6_6, all_30_2_21) = all_30_0_19, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 16.95/4.70 | (177) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_32_0_22) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_30_0_19, all_32_0_22) & in(all_30_2_21, v2))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (4) with all_34_0_25, all_0_6_6, all_0_8_8, all_0_7_7, all_7_0_12 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, apply(all_0_6_6, all_7_0_12) = all_34_0_25, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 16.95/4.70 | (178) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_0_6_6) = v0 & apply(all_0_7_7, v1) = v2 & apply(all_0_8_8, all_7_0_12) = v1 & (v2 = all_34_0_25 | ~ in(all_7_0_12, v0)))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (2) with all_34_0_25, all_0_6_6, all_23_3_18, all_0_6_6, all_7_0_12 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_6_6, all_7_0_12) = all_34_0_25, relation(all_0_6_6), function(all_0_6_6), yields:
% 16.95/4.70 | (179) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_34_0_25, all_23_3_18) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_34_0_25, all_23_3_18) & in(all_7_0_12, v2))))
% 16.95/4.70 |
% 16.95/4.70 | Instantiating formula (2) with all_34_0_25, all_0_6_6, all_38_0_31, all_0_7_7, all_7_0_12 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_6_6, all_7_0_12) = all_34_0_25, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 16.95/4.70 | (180) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_34_0_25, all_38_0_31) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_34_0_25, all_38_0_31) & in(all_7_0_12, v2))))
% 16.95/4.71 |
% 16.95/4.71 | Instantiating formula (2) with all_34_0_25, all_0_6_6, all_32_0_22, all_0_8_8, all_7_0_12 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_6_6, all_7_0_12) = all_34_0_25, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 16.95/4.71 | (181) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_34_0_25, all_32_0_22) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_34_0_25, all_32_0_22) & in(all_7_0_12, v2))))
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (180) with all_58_0_40, all_58_1_41, all_58_2_42 yields:
% 16.95/4.71 | (182) relation_composition(all_0_6_6, all_0_7_7) = all_58_2_42 & relation_dom(all_58_2_42) = all_58_1_41 & relation_dom(all_0_6_6) = all_58_0_40 & ( ~ in(all_34_0_25, all_38_0_31) | ~ in(all_7_0_12, all_58_0_40) | in(all_7_0_12, all_58_1_41)) & ( ~ in(all_7_0_12, all_58_1_41) | (in(all_34_0_25, all_38_0_31) & in(all_7_0_12, all_58_0_40)))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (182) yields:
% 16.95/4.71 | (183) relation_dom(all_0_6_6) = all_58_0_40
% 16.95/4.71 | (184) ~ in(all_34_0_25, all_38_0_31) | ~ in(all_7_0_12, all_58_0_40) | in(all_7_0_12, all_58_1_41)
% 16.95/4.71 | (185) relation_composition(all_0_6_6, all_0_7_7) = all_58_2_42
% 16.95/4.71 | (186) ~ in(all_7_0_12, all_58_1_41) | (in(all_34_0_25, all_38_0_31) & in(all_7_0_12, all_58_0_40))
% 16.95/4.71 | (187) relation_dom(all_58_2_42) = all_58_1_41
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (179) with all_60_0_43, all_60_1_44, all_60_2_45 yields:
% 16.95/4.71 | (188) relation_composition(all_0_6_6, all_0_6_6) = all_60_2_45 & relation_dom(all_60_2_45) = all_60_1_44 & relation_dom(all_0_6_6) = all_60_0_43 & ( ~ in(all_34_0_25, all_23_3_18) | ~ in(all_7_0_12, all_60_0_43) | in(all_7_0_12, all_60_1_44)) & ( ~ in(all_7_0_12, all_60_1_44) | (in(all_34_0_25, all_23_3_18) & in(all_7_0_12, all_60_0_43)))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (188) yields:
% 16.95/4.71 | (189) relation_composition(all_0_6_6, all_0_6_6) = all_60_2_45
% 16.95/4.71 | (190) relation_dom(all_60_2_45) = all_60_1_44
% 16.95/4.71 | (191) relation_dom(all_0_6_6) = all_60_0_43
% 16.95/4.71 | (192) ~ in(all_7_0_12, all_60_1_44) | (in(all_34_0_25, all_23_3_18) & in(all_7_0_12, all_60_0_43))
% 16.95/4.71 | (193) ~ in(all_34_0_25, all_23_3_18) | ~ in(all_7_0_12, all_60_0_43) | in(all_7_0_12, all_60_1_44)
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (181) with all_62_0_46, all_62_1_47, all_62_2_48 yields:
% 16.95/4.71 | (194) relation_composition(all_0_6_6, all_0_8_8) = all_62_2_48 & relation_dom(all_62_2_48) = all_62_1_47 & relation_dom(all_0_6_6) = all_62_0_46 & ( ~ in(all_34_0_25, all_32_0_22) | ~ in(all_7_0_12, all_62_0_46) | in(all_7_0_12, all_62_1_47)) & ( ~ in(all_7_0_12, all_62_1_47) | (in(all_34_0_25, all_32_0_22) & in(all_7_0_12, all_62_0_46)))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (194) yields:
% 16.95/4.71 | (195) ~ in(all_34_0_25, all_32_0_22) | ~ in(all_7_0_12, all_62_0_46) | in(all_7_0_12, all_62_1_47)
% 16.95/4.71 | (196) relation_dom(all_62_2_48) = all_62_1_47
% 16.95/4.71 | (197) relation_composition(all_0_6_6, all_0_8_8) = all_62_2_48
% 16.95/4.71 | (198) relation_dom(all_0_6_6) = all_62_0_46
% 16.95/4.71 | (199) ~ in(all_7_0_12, all_62_1_47) | (in(all_34_0_25, all_32_0_22) & in(all_7_0_12, all_62_0_46))
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (174) with all_64_0_49, all_64_1_50, all_64_2_51 yields:
% 16.95/4.71 | (200) relation_dom(all_0_6_6) = all_64_2_51 & apply(all_0_7_7, all_64_1_50) = all_64_0_49 & apply(all_0_8_8, all_30_2_21) = all_64_1_50 & (all_64_0_49 = all_30_0_19 | ~ in(all_30_2_21, all_64_2_51))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (200) yields:
% 16.95/4.71 | (201) relation_dom(all_0_6_6) = all_64_2_51
% 16.95/4.71 | (202) apply(all_0_7_7, all_64_1_50) = all_64_0_49
% 16.95/4.71 | (203) apply(all_0_8_8, all_30_2_21) = all_64_1_50
% 16.95/4.71 | (204) all_64_0_49 = all_30_0_19 | ~ in(all_30_2_21, all_64_2_51)
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (172) with all_66_0_52, all_66_1_53, all_66_2_54 yields:
% 16.95/4.71 | (205) relation_composition(all_0_6_6, all_0_7_7) = all_66_2_54 & relation_dom(all_66_2_54) = all_66_1_53 & relation_dom(all_0_6_6) = all_66_0_52 & ( ~ in(all_30_0_19, all_38_0_31) | ~ in(all_30_1_20, all_66_0_52) | in(all_30_1_20, all_66_1_53)) & ( ~ in(all_30_1_20, all_66_1_53) | (in(all_30_0_19, all_38_0_31) & in(all_30_1_20, all_66_0_52)))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (205) yields:
% 16.95/4.71 | (206) ~ in(all_30_1_20, all_66_1_53) | (in(all_30_0_19, all_38_0_31) & in(all_30_1_20, all_66_0_52))
% 16.95/4.71 | (207) relation_dom(all_66_2_54) = all_66_1_53
% 16.95/4.71 | (208) ~ in(all_30_0_19, all_38_0_31) | ~ in(all_30_1_20, all_66_0_52) | in(all_30_1_20, all_66_1_53)
% 16.95/4.71 | (209) relation_dom(all_0_6_6) = all_66_0_52
% 16.95/4.71 | (210) relation_composition(all_0_6_6, all_0_7_7) = all_66_2_54
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (171) with all_68_0_55, all_68_1_56, all_68_2_57 yields:
% 16.95/4.71 | (211) relation_composition(all_0_6_6, all_0_6_6) = all_68_2_57 & relation_dom(all_68_2_57) = all_68_1_56 & relation_dom(all_0_6_6) = all_68_0_55 & ( ~ in(all_30_0_19, all_23_3_18) | ~ in(all_30_1_20, all_68_0_55) | in(all_30_1_20, all_68_1_56)) & ( ~ in(all_30_1_20, all_68_1_56) | (in(all_30_0_19, all_23_3_18) & in(all_30_1_20, all_68_0_55)))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (211) yields:
% 16.95/4.71 | (212) relation_composition(all_0_6_6, all_0_6_6) = all_68_2_57
% 16.95/4.71 | (213) ~ in(all_30_0_19, all_23_3_18) | ~ in(all_30_1_20, all_68_0_55) | in(all_30_1_20, all_68_1_56)
% 16.95/4.71 | (214) ~ in(all_30_1_20, all_68_1_56) | (in(all_30_0_19, all_23_3_18) & in(all_30_1_20, all_68_0_55))
% 16.95/4.71 | (215) relation_dom(all_0_6_6) = all_68_0_55
% 16.95/4.71 | (216) relation_dom(all_68_2_57) = all_68_1_56
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (178) with all_70_0_58, all_70_1_59, all_70_2_60 yields:
% 16.95/4.71 | (217) relation_dom(all_0_6_6) = all_70_2_60 & apply(all_0_7_7, all_70_1_59) = all_70_0_58 & apply(all_0_8_8, all_7_0_12) = all_70_1_59 & (all_70_0_58 = all_34_0_25 | ~ in(all_7_0_12, all_70_2_60))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (217) yields:
% 16.95/4.71 | (218) relation_dom(all_0_6_6) = all_70_2_60
% 16.95/4.71 | (219) apply(all_0_7_7, all_70_1_59) = all_70_0_58
% 16.95/4.71 | (220) apply(all_0_8_8, all_7_0_12) = all_70_1_59
% 16.95/4.71 | (221) all_70_0_58 = all_34_0_25 | ~ in(all_7_0_12, all_70_2_60)
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (177) with all_72_0_61, all_72_1_62, all_72_2_63 yields:
% 16.95/4.71 | (222) relation_composition(all_0_6_6, all_0_8_8) = all_72_2_63 & relation_dom(all_72_2_63) = all_72_1_62 & relation_dom(all_0_6_6) = all_72_0_61 & ( ~ in(all_30_0_19, all_32_0_22) | ~ in(all_30_2_21, all_72_0_61) | in(all_30_2_21, all_72_1_62)) & ( ~ in(all_30_2_21, all_72_1_62) | (in(all_30_0_19, all_32_0_22) & in(all_30_2_21, all_72_0_61)))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (222) yields:
% 16.95/4.71 | (223) relation_composition(all_0_6_6, all_0_8_8) = all_72_2_63
% 16.95/4.71 | (224) ~ in(all_30_2_21, all_72_1_62) | (in(all_30_0_19, all_32_0_22) & in(all_30_2_21, all_72_0_61))
% 16.95/4.71 | (225) relation_dom(all_72_2_63) = all_72_1_62
% 16.95/4.71 | (226) ~ in(all_30_0_19, all_32_0_22) | ~ in(all_30_2_21, all_72_0_61) | in(all_30_2_21, all_72_1_62)
% 16.95/4.71 | (227) relation_dom(all_0_6_6) = all_72_0_61
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (166) with all_74_0_64, all_74_1_65, all_74_2_66 yields:
% 16.95/4.71 | (228) relation_composition(all_0_8_8, all_0_6_6) = all_74_2_66 & relation_dom(all_74_2_66) = all_74_1_65 & apply(all_0_8_8, all_7_0_12) = all_74_0_64 & ( ~ in(all_74_0_64, all_23_3_18) | ~ in(all_7_0_12, all_32_0_22) | in(all_7_0_12, all_74_1_65)) & ( ~ in(all_7_0_12, all_74_1_65) | (in(all_74_0_64, all_23_3_18) & in(all_7_0_12, all_32_0_22)))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (228) yields:
% 16.95/4.71 | (229) relation_dom(all_74_2_66) = all_74_1_65
% 16.95/4.71 | (230) apply(all_0_8_8, all_7_0_12) = all_74_0_64
% 16.95/4.71 | (231) ~ in(all_7_0_12, all_74_1_65) | (in(all_74_0_64, all_23_3_18) & in(all_7_0_12, all_32_0_22))
% 16.95/4.71 | (232) ~ in(all_74_0_64, all_23_3_18) | ~ in(all_7_0_12, all_32_0_22) | in(all_7_0_12, all_74_1_65)
% 16.95/4.71 | (233) relation_composition(all_0_8_8, all_0_6_6) = all_74_2_66
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (165) with all_76_0_67, all_76_1_68, all_76_2_69 yields:
% 16.95/4.71 | (234) relation_composition(all_0_6_6, all_0_8_8) = all_76_2_69 & relation_dom(all_76_2_69) = all_76_1_68 & apply(all_0_6_6, all_7_0_12) = all_76_0_67 & ( ~ in(all_76_0_67, all_32_0_22) | ~ in(all_7_0_12, all_23_3_18) | in(all_7_0_12, all_76_1_68)) & ( ~ in(all_7_0_12, all_76_1_68) | (in(all_76_0_67, all_32_0_22) & in(all_7_0_12, all_23_3_18)))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (234) yields:
% 16.95/4.71 | (235) relation_composition(all_0_6_6, all_0_8_8) = all_76_2_69
% 16.95/4.71 | (236) apply(all_0_6_6, all_7_0_12) = all_76_0_67
% 16.95/4.71 | (237) ~ in(all_7_0_12, all_76_1_68) | (in(all_76_0_67, all_32_0_22) & in(all_7_0_12, all_23_3_18))
% 16.95/4.71 | (238) ~ in(all_76_0_67, all_32_0_22) | ~ in(all_7_0_12, all_23_3_18) | in(all_7_0_12, all_76_1_68)
% 16.95/4.71 | (239) relation_dom(all_76_2_69) = all_76_1_68
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (162) with all_78_0_70, all_78_1_71, all_78_2_72 yields:
% 16.95/4.71 | (240) relation_composition(all_0_6_6, all_0_8_8) = all_78_2_72 & relation_dom(all_78_2_72) = all_78_1_71 & relation_dom(all_0_6_6) = all_78_0_70 & ( ~ in(all_23_2_17, all_32_0_22) | ~ in(all_5_0_11, all_78_0_70) | in(all_5_0_11, all_78_1_71)) & ( ~ in(all_5_0_11, all_78_1_71) | (in(all_23_2_17, all_32_0_22) & in(all_5_0_11, all_78_0_70)))
% 16.95/4.71 |
% 16.95/4.71 | Applying alpha-rule on (240) yields:
% 16.95/4.71 | (241) relation_composition(all_0_6_6, all_0_8_8) = all_78_2_72
% 16.95/4.71 | (242) relation_dom(all_78_2_72) = all_78_1_71
% 16.95/4.71 | (243) ~ in(all_5_0_11, all_78_1_71) | (in(all_23_2_17, all_32_0_22) & in(all_5_0_11, all_78_0_70))
% 16.95/4.71 | (244) ~ in(all_23_2_17, all_32_0_22) | ~ in(all_5_0_11, all_78_0_70) | in(all_5_0_11, all_78_1_71)
% 16.95/4.71 | (245) relation_dom(all_0_6_6) = all_78_0_70
% 16.95/4.71 |
% 16.95/4.71 | Instantiating (161) with all_80_0_73, all_80_1_74, all_80_2_75 yields:
% 16.95/4.71 | (246) relation_composition(all_0_7_7, all_0_7_7) = all_80_2_75 & relation_dom(all_80_2_75) = all_80_1_74 & apply(all_0_7_7, all_7_0_12) = all_80_0_73 & ( ~ in(all_80_0_73, all_38_0_31) | ~ in(all_7_0_12, all_38_0_31) | in(all_7_0_12, all_80_1_74)) & ( ~ in(all_7_0_12, all_80_1_74) | (in(all_80_0_73, all_38_0_31) & in(all_7_0_12, all_38_0_31)))
% 16.95/4.72 |
% 16.95/4.72 | Applying alpha-rule on (246) yields:
% 16.95/4.72 | (247) relation_dom(all_80_2_75) = all_80_1_74
% 16.95/4.72 | (248) ~ in(all_80_0_73, all_38_0_31) | ~ in(all_7_0_12, all_38_0_31) | in(all_7_0_12, all_80_1_74)
% 16.95/4.72 | (249) ~ in(all_7_0_12, all_80_1_74) | (in(all_80_0_73, all_38_0_31) & in(all_7_0_12, all_38_0_31))
% 16.95/4.72 | (250) relation_composition(all_0_7_7, all_0_7_7) = all_80_2_75
% 16.95/4.72 | (251) apply(all_0_7_7, all_7_0_12) = all_80_0_73
% 16.95/4.72 |
% 16.95/4.72 | Instantiating (164) with all_82_0_76, all_82_1_77, all_82_2_78 yields:
% 16.95/4.72 | (252) relation_composition(all_0_8_8, all_0_8_8) = all_82_2_78 & relation_dom(all_82_2_78) = all_82_1_77 & relation_dom(all_0_8_8) = all_82_0_76 & ( ~ in(all_23_1_16, all_32_0_22) | ~ in(all_5_0_11, all_82_0_76) | in(all_5_0_11, all_82_1_77)) & ( ~ in(all_5_0_11, all_82_1_77) | (in(all_23_1_16, all_32_0_22) & in(all_5_0_11, all_82_0_76)))
% 16.95/4.72 |
% 16.95/4.72 | Applying alpha-rule on (252) yields:
% 16.95/4.72 | (253) ~ in(all_5_0_11, all_82_1_77) | (in(all_23_1_16, all_32_0_22) & in(all_5_0_11, all_82_0_76))
% 16.95/4.72 | (254) relation_composition(all_0_8_8, all_0_8_8) = all_82_2_78
% 16.95/4.72 | (255) ~ in(all_23_1_16, all_32_0_22) | ~ in(all_5_0_11, all_82_0_76) | in(all_5_0_11, all_82_1_77)
% 16.95/4.72 | (256) relation_dom(all_82_2_78) = all_82_1_77
% 16.95/4.72 | (257) relation_dom(all_0_8_8) = all_82_0_76
% 16.95/4.72 |
% 16.95/4.72 | Instantiating (163) with all_84_0_79, all_84_1_80, all_84_2_81 yields:
% 16.95/4.72 | (258) relation_composition(all_0_7_7, all_0_8_8) = all_84_2_81 & relation_dom(all_84_2_81) = all_84_1_80 & relation_dom(all_0_7_7) = all_84_0_79 & ( ~ in(all_23_0_15, all_32_0_22) | ~ in(all_23_1_16, all_84_0_79) | in(all_23_1_16, all_84_1_80)) & ( ~ in(all_23_1_16, all_84_1_80) | (in(all_23_0_15, all_32_0_22) & in(all_23_1_16, all_84_0_79)))
% 16.95/4.72 |
% 16.95/4.72 | Applying alpha-rule on (258) yields:
% 16.95/4.72 | (259) relation_composition(all_0_7_7, all_0_8_8) = all_84_2_81
% 16.95/4.72 | (260) ~ in(all_23_1_16, all_84_1_80) | (in(all_23_0_15, all_32_0_22) & in(all_23_1_16, all_84_0_79))
% 16.95/4.72 | (261) relation_dom(all_84_2_81) = all_84_1_80
% 16.95/4.72 | (262) ~ in(all_23_0_15, all_32_0_22) | ~ in(all_23_1_16, all_84_0_79) | in(all_23_1_16, all_84_1_80)
% 16.95/4.72 | (263) relation_dom(all_0_7_7) = all_84_0_79
% 16.95/4.72 |
% 16.95/4.72 | Instantiating (160) with all_86_0_82, all_86_1_83, all_86_2_84 yields:
% 16.95/4.72 | (264) relation_composition(all_0_7_7, all_0_6_6) = all_86_2_84 & relation_dom(all_86_2_84) = all_86_1_83 & apply(all_0_7_7, all_7_0_12) = all_86_0_82 & ( ~ in(all_86_0_82, all_23_3_18) | ~ in(all_7_0_12, all_38_0_31) | in(all_7_0_12, all_86_1_83)) & ( ~ in(all_7_0_12, all_86_1_83) | (in(all_86_0_82, all_23_3_18) & in(all_7_0_12, all_38_0_31)))
% 16.95/4.72 |
% 16.95/4.72 | Applying alpha-rule on (264) yields:
% 16.95/4.72 | (265) relation_dom(all_86_2_84) = all_86_1_83
% 16.95/4.72 | (266) ~ in(all_86_0_82, all_23_3_18) | ~ in(all_7_0_12, all_38_0_31) | in(all_7_0_12, all_86_1_83)
% 16.95/4.72 | (267) relation_composition(all_0_7_7, all_0_6_6) = all_86_2_84
% 16.95/4.72 | (268) ~ in(all_7_0_12, all_86_1_83) | (in(all_86_0_82, all_23_3_18) & in(all_7_0_12, all_38_0_31))
% 16.95/4.72 | (269) apply(all_0_7_7, all_7_0_12) = all_86_0_82
% 16.95/4.72 |
% 16.95/4.72 | Instantiating (159) with all_88_0_85, all_88_1_86, all_88_2_87 yields:
% 16.95/4.72 | (270) relation_composition(all_0_6_6, all_0_7_7) = all_88_2_87 & relation_dom(all_88_2_87) = all_88_1_86 & apply(all_0_6_6, all_7_0_12) = all_88_0_85 & ( ~ in(all_88_0_85, all_38_0_31) | ~ in(all_7_0_12, all_23_3_18) | in(all_7_0_12, all_88_1_86)) & ( ~ in(all_7_0_12, all_88_1_86) | (in(all_88_0_85, all_38_0_31) & in(all_7_0_12, all_23_3_18)))
% 16.95/4.72 |
% 16.95/4.72 | Applying alpha-rule on (270) yields:
% 16.95/4.72 | (271) ~ in(all_88_0_85, all_38_0_31) | ~ in(all_7_0_12, all_23_3_18) | in(all_7_0_12, all_88_1_86)
% 16.95/4.72 | (272) relation_dom(all_88_2_87) = all_88_1_86
% 16.95/4.72 | (273) ~ in(all_7_0_12, all_88_1_86) | (in(all_88_0_85, all_38_0_31) & in(all_7_0_12, all_23_3_18))
% 16.95/4.72 | (274) relation_composition(all_0_6_6, all_0_7_7) = all_88_2_87
% 16.95/4.72 | (275) apply(all_0_6_6, all_7_0_12) = all_88_0_85
% 16.95/4.72 |
% 16.95/4.72 | Instantiating (158) with all_90_0_88, all_90_1_89, all_90_2_90 yields:
% 16.95/4.72 | (276) relation_dom(all_0_6_6) = all_90_2_90 & relation_dom(all_0_8_8) = all_90_1_89 & apply(all_0_8_8, all_11_0_14) = all_90_0_88 & ( ~ in(all_90_0_88, all_38_0_31) | ~ in(all_11_0_14, all_90_1_89) | in(all_11_0_14, all_90_2_90)) & ( ~ in(all_11_0_14, all_90_2_90) | (in(all_90_0_88, all_38_0_31) & in(all_11_0_14, all_90_1_89)))
% 16.95/4.72 |
% 16.95/4.72 | Applying alpha-rule on (276) yields:
% 16.95/4.72 | (277) ~ in(all_90_0_88, all_38_0_31) | ~ in(all_11_0_14, all_90_1_89) | in(all_11_0_14, all_90_2_90)
% 16.95/4.72 | (278) apply(all_0_8_8, all_11_0_14) = all_90_0_88
% 16.95/4.72 | (279) relation_dom(all_0_6_6) = all_90_2_90
% 16.95/4.72 | (280) ~ in(all_11_0_14, all_90_2_90) | (in(all_90_0_88, all_38_0_31) & in(all_11_0_14, all_90_1_89))
% 16.95/4.72 | (281) relation_dom(all_0_8_8) = all_90_1_89
% 16.95/4.72 |
% 16.95/4.72 | Instantiating (156) with all_92_0_91, all_92_1_92, all_92_2_93 yields:
% 16.95/4.72 | (282) relation_composition(all_0_7_7, all_0_7_7) = all_92_2_93 & relation_dom(all_92_2_93) = all_92_1_92 & relation_dom(all_0_7_7) = all_92_0_91 & ( ~ in(all_23_0_15, all_38_0_31) | ~ in(all_23_1_16, all_92_0_91) | in(all_23_1_16, all_92_1_92)) & ( ~ in(all_23_1_16, all_92_1_92) | (in(all_23_0_15, all_38_0_31) & in(all_23_1_16, all_92_0_91)))
% 16.95/4.72 |
% 16.95/4.72 | Applying alpha-rule on (282) yields:
% 16.95/4.72 | (283) relation_composition(all_0_7_7, all_0_7_7) = all_92_2_93
% 16.95/4.72 | (284) ~ in(all_23_0_15, all_38_0_31) | ~ in(all_23_1_16, all_92_0_91) | in(all_23_1_16, all_92_1_92)
% 16.95/4.72 | (285) relation_dom(all_0_7_7) = all_92_0_91
% 16.95/4.72 | (286) ~ in(all_23_1_16, all_92_1_92) | (in(all_23_0_15, all_38_0_31) & in(all_23_1_16, all_92_0_91))
% 16.95/4.72 | (287) relation_dom(all_92_2_93) = all_92_1_92
% 16.95/4.72 |
% 16.95/4.72 | Instantiating (155) with all_94_0_94, all_94_1_95, all_94_2_96 yields:
% 16.95/4.72 | (288) relation_composition(all_0_6_6, all_0_7_7) = all_94_2_96 & relation_dom(all_94_2_96) = all_94_1_95 & relation_dom(all_0_6_6) = all_94_0_94 & ( ~ in(all_23_2_17, all_38_0_31) | ~ in(all_5_0_11, all_94_0_94) | in(all_5_0_11, all_94_1_95)) & ( ~ in(all_5_0_11, all_94_1_95) | (in(all_23_2_17, all_38_0_31) & in(all_5_0_11, all_94_0_94)))
% 16.95/4.72 |
% 16.95/4.72 | Applying alpha-rule on (288) yields:
% 16.95/4.72 | (289) relation_dom(all_0_6_6) = all_94_0_94
% 16.95/4.72 | (290) relation_composition(all_0_6_6, all_0_7_7) = all_94_2_96
% 16.95/4.72 | (291) ~ in(all_5_0_11, all_94_1_95) | (in(all_23_2_17, all_38_0_31) & in(all_5_0_11, all_94_0_94))
% 16.95/4.72 | (292) ~ in(all_23_2_17, all_38_0_31) | ~ in(all_5_0_11, all_94_0_94) | in(all_5_0_11, all_94_1_95)
% 16.95/4.74 | (293) relation_dom(all_94_2_96) = all_94_1_95
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (157) with all_96_0_97, all_96_1_98, all_96_2_99 yields:
% 16.95/4.74 | (294) relation_composition(all_0_8_8, all_0_7_7) = all_96_2_99 & relation_dom(all_96_2_99) = all_96_1_98 & relation_dom(all_0_8_8) = all_96_0_97 & ( ~ in(all_23_1_16, all_38_0_31) | ~ in(all_5_0_11, all_96_0_97) | in(all_5_0_11, all_96_1_98)) & ( ~ in(all_5_0_11, all_96_1_98) | (in(all_23_1_16, all_38_0_31) & in(all_5_0_11, all_96_0_97)))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (294) yields:
% 16.95/4.74 | (295) ~ in(all_23_1_16, all_38_0_31) | ~ in(all_5_0_11, all_96_0_97) | in(all_5_0_11, all_96_1_98)
% 16.95/4.74 | (296) ~ in(all_5_0_11, all_96_1_98) | (in(all_23_1_16, all_38_0_31) & in(all_5_0_11, all_96_0_97))
% 16.95/4.74 | (297) relation_dom(all_96_2_99) = all_96_1_98
% 16.95/4.74 | (298) relation_composition(all_0_8_8, all_0_7_7) = all_96_2_99
% 16.95/4.74 | (299) relation_dom(all_0_8_8) = all_96_0_97
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (176) with all_98_0_100, all_98_1_101, all_98_2_102 yields:
% 16.95/4.74 | (300) relation_composition(all_0_6_6, all_0_7_7) = all_98_2_102 & relation_dom(all_98_2_102) = all_98_1_101 & relation_dom(all_0_6_6) = all_98_0_100 & ( ~ in(all_30_0_19, all_38_0_31) | ~ in(all_30_2_21, all_98_0_100) | in(all_30_2_21, all_98_1_101)) & ( ~ in(all_30_2_21, all_98_1_101) | (in(all_30_0_19, all_38_0_31) & in(all_30_2_21, all_98_0_100)))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (300) yields:
% 16.95/4.74 | (301) ~ in(all_30_2_21, all_98_1_101) | (in(all_30_0_19, all_38_0_31) & in(all_30_2_21, all_98_0_100))
% 16.95/4.74 | (302) relation_dom(all_0_6_6) = all_98_0_100
% 16.95/4.74 | (303) relation_composition(all_0_6_6, all_0_7_7) = all_98_2_102
% 16.95/4.74 | (304) ~ in(all_30_0_19, all_38_0_31) | ~ in(all_30_2_21, all_98_0_100) | in(all_30_2_21, all_98_1_101)
% 16.95/4.74 | (305) relation_dom(all_98_2_102) = all_98_1_101
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (173) with all_100_0_103, all_100_1_104, all_100_2_105 yields:
% 16.95/4.74 | (306) relation_composition(all_0_6_6, all_0_8_8) = all_100_2_105 & relation_dom(all_100_2_105) = all_100_1_104 & relation_dom(all_0_6_6) = all_100_0_103 & ( ~ in(all_30_0_19, all_32_0_22) | ~ in(all_30_1_20, all_100_0_103) | in(all_30_1_20, all_100_1_104)) & ( ~ in(all_30_1_20, all_100_1_104) | (in(all_30_0_19, all_32_0_22) & in(all_30_1_20, all_100_0_103)))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (306) yields:
% 16.95/4.74 | (307) ~ in(all_30_0_19, all_32_0_22) | ~ in(all_30_1_20, all_100_0_103) | in(all_30_1_20, all_100_1_104)
% 16.95/4.74 | (308) relation_composition(all_0_6_6, all_0_8_8) = all_100_2_105
% 16.95/4.74 | (309) ~ in(all_30_1_20, all_100_1_104) | (in(all_30_0_19, all_32_0_22) & in(all_30_1_20, all_100_0_103))
% 16.95/4.74 | (310) relation_dom(all_0_6_6) = all_100_0_103
% 16.95/4.74 | (311) relation_dom(all_100_2_105) = all_100_1_104
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (170) with all_102_0_106, all_102_1_107, all_102_2_108 yields:
% 16.95/4.74 | (312) relation_dom(all_0_6_6) = all_102_2_108 & apply(all_0_7_7, all_102_1_107) = all_102_0_106 & apply(all_0_8_8, all_30_1_20) = all_102_1_107 & (all_102_0_106 = all_30_0_19 | ~ in(all_30_1_20, all_102_2_108))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (312) yields:
% 16.95/4.74 | (313) relation_dom(all_0_6_6) = all_102_2_108
% 16.95/4.74 | (314) apply(all_0_7_7, all_102_1_107) = all_102_0_106
% 16.95/4.74 | (315) apply(all_0_8_8, all_30_1_20) = all_102_1_107
% 16.95/4.74 | (316) all_102_0_106 = all_30_0_19 | ~ in(all_30_1_20, all_102_2_108)
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (168) with all_104_0_109, all_104_1_110, all_104_2_111 yields:
% 16.95/4.74 | (317) relation_composition(all_0_8_8, all_0_7_7) = all_104_2_111 & relation_dom(all_104_2_111) = all_104_1_110 & apply(all_0_8_8, all_7_0_12) = all_104_0_109 & ( ~ in(all_104_0_109, all_38_0_31) | ~ in(all_7_0_12, all_32_0_22) | in(all_7_0_12, all_104_1_110)) & ( ~ in(all_7_0_12, all_104_1_110) | (in(all_104_0_109, all_38_0_31) & in(all_7_0_12, all_32_0_22)))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (317) yields:
% 16.95/4.74 | (318) apply(all_0_8_8, all_7_0_12) = all_104_0_109
% 16.95/4.74 | (319) ~ in(all_104_0_109, all_38_0_31) | ~ in(all_7_0_12, all_32_0_22) | in(all_7_0_12, all_104_1_110)
% 16.95/4.74 | (320) relation_composition(all_0_8_8, all_0_7_7) = all_104_2_111
% 16.95/4.74 | (321) relation_dom(all_104_2_111) = all_104_1_110
% 16.95/4.74 | (322) ~ in(all_7_0_12, all_104_1_110) | (in(all_104_0_109, all_38_0_31) & in(all_7_0_12, all_32_0_22))
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (169) with all_106_0_112, all_106_1_113, all_106_2_114 yields:
% 16.95/4.74 | (323) relation_composition(all_0_8_8, all_0_8_8) = all_106_2_114 & relation_dom(all_106_2_114) = all_106_1_113 & apply(all_0_8_8, all_7_0_12) = all_106_0_112 & ( ~ in(all_106_0_112, all_32_0_22) | ~ in(all_7_0_12, all_32_0_22) | in(all_7_0_12, all_106_1_113)) & ( ~ in(all_7_0_12, all_106_1_113) | (in(all_106_0_112, all_32_0_22) & in(all_7_0_12, all_32_0_22)))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (323) yields:
% 16.95/4.74 | (324) apply(all_0_8_8, all_7_0_12) = all_106_0_112
% 16.95/4.74 | (325) ~ in(all_7_0_12, all_106_1_113) | (in(all_106_0_112, all_32_0_22) & in(all_7_0_12, all_32_0_22))
% 16.95/4.74 | (326) relation_dom(all_106_2_114) = all_106_1_113
% 16.95/4.74 | (327) ~ in(all_106_0_112, all_32_0_22) | ~ in(all_7_0_12, all_32_0_22) | in(all_7_0_12, all_106_1_113)
% 16.95/4.74 | (328) relation_composition(all_0_8_8, all_0_8_8) = all_106_2_114
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (151) with all_108_0_115, all_108_1_116, all_108_2_117 yields:
% 16.95/4.74 | (329) relation_dom(all_32_2_24) = all_108_2_117 & relation_dom(all_0_8_8) = all_108_1_116 & apply(all_0_8_8, all_11_0_14) = all_108_0_115 & ( ~ in(all_108_0_115, all_23_3_18) | ~ in(all_11_0_14, all_108_1_116) | in(all_11_0_14, all_108_2_117)) & ( ~ in(all_11_0_14, all_108_2_117) | (in(all_108_0_115, all_23_3_18) & in(all_11_0_14, all_108_1_116)))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (329) yields:
% 16.95/4.74 | (330) relation_dom(all_0_8_8) = all_108_1_116
% 16.95/4.74 | (331) relation_dom(all_32_2_24) = all_108_2_117
% 16.95/4.74 | (332) ~ in(all_108_0_115, all_23_3_18) | ~ in(all_11_0_14, all_108_1_116) | in(all_11_0_14, all_108_2_117)
% 16.95/4.74 | (333) ~ in(all_11_0_14, all_108_2_117) | (in(all_108_0_115, all_23_3_18) & in(all_11_0_14, all_108_1_116))
% 16.95/4.74 | (334) apply(all_0_8_8, all_11_0_14) = all_108_0_115
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (150) with all_110_0_118, all_110_1_119, all_110_2_120, all_110_3_121 yields:
% 16.95/4.74 | (335) relation_dom(all_38_2_33) = all_110_3_121 & apply(all_38_2_33, all_5_0_11) = all_110_2_120 & apply(all_0_6_6, all_110_1_119) = all_110_0_118 & apply(all_0_7_7, all_5_0_11) = all_110_1_119 & (all_110_0_118 = all_110_2_120 | ~ in(all_5_0_11, all_110_3_121))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (335) yields:
% 16.95/4.74 | (336) apply(all_0_6_6, all_110_1_119) = all_110_0_118
% 16.95/4.74 | (337) apply(all_0_7_7, all_5_0_11) = all_110_1_119
% 16.95/4.74 | (338) apply(all_38_2_33, all_5_0_11) = all_110_2_120
% 16.95/4.74 | (339) all_110_0_118 = all_110_2_120 | ~ in(all_5_0_11, all_110_3_121)
% 16.95/4.74 | (340) relation_dom(all_38_2_33) = all_110_3_121
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (147) with all_112_0_122, all_112_1_123, all_112_2_124 yields:
% 16.95/4.74 | (341) relation_dom(all_38_2_33) = all_112_2_124 & relation_dom(all_0_7_7) = all_112_1_123 & apply(all_0_7_7, all_11_0_14) = all_112_0_122 & ( ~ in(all_112_0_122, all_23_3_18) | ~ in(all_11_0_14, all_112_1_123) | in(all_11_0_14, all_112_2_124)) & ( ~ in(all_11_0_14, all_112_2_124) | (in(all_112_0_122, all_23_3_18) & in(all_11_0_14, all_112_1_123)))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (341) yields:
% 16.95/4.74 | (342) apply(all_0_7_7, all_11_0_14) = all_112_0_122
% 16.95/4.74 | (343) ~ in(all_112_0_122, all_23_3_18) | ~ in(all_11_0_14, all_112_1_123) | in(all_11_0_14, all_112_2_124)
% 16.95/4.74 | (344) relation_dom(all_38_2_33) = all_112_2_124
% 16.95/4.74 | (345) ~ in(all_11_0_14, all_112_2_124) | (in(all_112_0_122, all_23_3_18) & in(all_11_0_14, all_112_1_123))
% 16.95/4.74 | (346) relation_dom(all_0_7_7) = all_112_1_123
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (175) with all_114_0_125, all_114_1_126, all_114_2_127 yields:
% 16.95/4.74 | (347) relation_composition(all_0_6_6, all_0_6_6) = all_114_2_127 & relation_dom(all_114_2_127) = all_114_1_126 & relation_dom(all_0_6_6) = all_114_0_125 & ( ~ in(all_30_0_19, all_23_3_18) | ~ in(all_30_2_21, all_114_0_125) | in(all_30_2_21, all_114_1_126)) & ( ~ in(all_30_2_21, all_114_1_126) | (in(all_30_0_19, all_23_3_18) & in(all_30_2_21, all_114_0_125)))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (347) yields:
% 16.95/4.74 | (348) relation_dom(all_114_2_127) = all_114_1_126
% 16.95/4.74 | (349) relation_dom(all_0_6_6) = all_114_0_125
% 16.95/4.74 | (350) relation_composition(all_0_6_6, all_0_6_6) = all_114_2_127
% 16.95/4.74 | (351) ~ in(all_30_2_21, all_114_1_126) | (in(all_30_0_19, all_23_3_18) & in(all_30_2_21, all_114_0_125))
% 16.95/4.74 | (352) ~ in(all_30_0_19, all_23_3_18) | ~ in(all_30_2_21, all_114_0_125) | in(all_30_2_21, all_114_1_126)
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (154) with all_116_0_128, all_116_1_129, all_116_2_130, all_116_3_131 yields:
% 16.95/4.74 | (353) relation_dom(all_32_2_24) = all_116_3_131 & apply(all_32_2_24, all_5_0_11) = all_116_2_130 & apply(all_0_6_6, all_116_1_129) = all_116_0_128 & apply(all_0_8_8, all_5_0_11) = all_116_1_129 & (all_116_0_128 = all_116_2_130 | ~ in(all_5_0_11, all_116_3_131))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (353) yields:
% 16.95/4.74 | (354) apply(all_32_2_24, all_5_0_11) = all_116_2_130
% 16.95/4.74 | (355) all_116_0_128 = all_116_2_130 | ~ in(all_5_0_11, all_116_3_131)
% 16.95/4.74 | (356) relation_dom(all_32_2_24) = all_116_3_131
% 16.95/4.74 | (357) apply(all_0_8_8, all_5_0_11) = all_116_1_129
% 16.95/4.74 | (358) apply(all_0_6_6, all_116_1_129) = all_116_0_128
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (146) with all_118_0_132, all_118_1_133, all_118_2_134, all_118_3_135 yields:
% 16.95/4.74 | (359) relation_dom(all_34_2_27) = all_118_3_135 & apply(all_34_2_27, all_5_0_11) = all_118_2_134 & apply(all_0_6_6, all_118_1_133) = all_118_0_132 & apply(all_0_6_6, all_5_0_11) = all_118_1_133 & (all_118_0_132 = all_118_2_134 | ~ in(all_5_0_11, all_118_3_135))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (359) yields:
% 16.95/4.74 | (360) apply(all_34_2_27, all_5_0_11) = all_118_2_134
% 16.95/4.74 | (361) relation_dom(all_34_2_27) = all_118_3_135
% 16.95/4.74 | (362) all_118_0_132 = all_118_2_134 | ~ in(all_5_0_11, all_118_3_135)
% 16.95/4.74 | (363) apply(all_0_6_6, all_5_0_11) = all_118_1_133
% 16.95/4.74 | (364) apply(all_0_6_6, all_118_1_133) = all_118_0_132
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (143) with all_120_0_136, all_120_1_137, all_120_2_138 yields:
% 16.95/4.74 | (365) relation_dom(all_34_2_27) = all_120_2_138 & relation_dom(all_0_6_6) = all_120_1_137 & apply(all_0_6_6, all_11_0_14) = all_120_0_136 & ( ~ in(all_120_0_136, all_23_3_18) | ~ in(all_11_0_14, all_120_1_137) | in(all_11_0_14, all_120_2_138)) & ( ~ in(all_11_0_14, all_120_2_138) | (in(all_120_0_136, all_23_3_18) & in(all_11_0_14, all_120_1_137)))
% 16.95/4.74 |
% 16.95/4.74 | Applying alpha-rule on (365) yields:
% 16.95/4.74 | (366) ~ in(all_11_0_14, all_120_2_138) | (in(all_120_0_136, all_23_3_18) & in(all_11_0_14, all_120_1_137))
% 16.95/4.74 | (367) relation_dom(all_34_2_27) = all_120_2_138
% 16.95/4.74 | (368) relation_dom(all_0_6_6) = all_120_1_137
% 16.95/4.74 | (369) ~ in(all_120_0_136, all_23_3_18) | ~ in(all_11_0_14, all_120_1_137) | in(all_11_0_14, all_120_2_138)
% 16.95/4.74 | (370) apply(all_0_6_6, all_11_0_14) = all_120_0_136
% 16.95/4.74 |
% 16.95/4.74 | Instantiating (167) with all_122_0_139, all_122_1_140, all_122_2_141 yields:
% 16.95/4.74 | (371) relation_composition(all_0_7_7, all_0_8_8) = all_122_2_141 & relation_dom(all_122_2_141) = all_122_1_140 & apply(all_0_7_7, all_7_0_12) = all_122_0_139 & ( ~ in(all_122_0_139, all_32_0_22) | ~ in(all_7_0_12, all_38_0_31) | in(all_7_0_12, all_122_1_140)) & ( ~ in(all_7_0_12, all_122_1_140) | (in(all_122_0_139, all_32_0_22) & in(all_7_0_12, all_38_0_31)))
% 16.95/4.75 |
% 16.95/4.75 | Applying alpha-rule on (371) yields:
% 16.95/4.75 | (372) ~ in(all_122_0_139, all_32_0_22) | ~ in(all_7_0_12, all_38_0_31) | in(all_7_0_12, all_122_1_140)
% 16.95/4.75 | (373) relation_composition(all_0_7_7, all_0_8_8) = all_122_2_141
% 16.95/4.75 | (374) relation_dom(all_122_2_141) = all_122_1_140
% 16.95/4.75 | (375) ~ in(all_7_0_12, all_122_1_140) | (in(all_122_0_139, all_32_0_22) & in(all_7_0_12, all_38_0_31))
% 16.95/4.75 | (376) apply(all_0_7_7, all_7_0_12) = all_122_0_139
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_6_6, all_68_2_57, all_34_2_27 and discharging atoms relation_composition(all_0_6_6, all_0_6_6) = all_68_2_57, relation_composition(all_0_6_6, all_0_6_6) = all_34_2_27, yields:
% 16.95/4.75 | (377) all_68_2_57 = all_34_2_27
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_6_6, all_68_2_57, all_114_2_127 and discharging atoms relation_composition(all_0_6_6, all_0_6_6) = all_114_2_127, relation_composition(all_0_6_6, all_0_6_6) = all_68_2_57, yields:
% 16.95/4.75 | (378) all_114_2_127 = all_68_2_57
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_6_6, all_60_2_45, all_114_2_127 and discharging atoms relation_composition(all_0_6_6, all_0_6_6) = all_114_2_127, relation_composition(all_0_6_6, all_0_6_6) = all_60_2_45, yields:
% 16.95/4.75 | (379) all_114_2_127 = all_60_2_45
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_7_7, all_94_2_96, all_98_2_102 and discharging atoms relation_composition(all_0_6_6, all_0_7_7) = all_98_2_102, relation_composition(all_0_6_6, all_0_7_7) = all_94_2_96, yields:
% 16.95/4.75 | (380) all_98_2_102 = all_94_2_96
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_7_7, all_88_2_87, all_98_2_102 and discharging atoms relation_composition(all_0_6_6, all_0_7_7) = all_98_2_102, relation_composition(all_0_6_6, all_0_7_7) = all_88_2_87, yields:
% 16.95/4.75 | (381) all_98_2_102 = all_88_2_87
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_7_7, all_66_2_54, all_98_2_102 and discharging atoms relation_composition(all_0_6_6, all_0_7_7) = all_98_2_102, relation_composition(all_0_6_6, all_0_7_7) = all_66_2_54, yields:
% 16.95/4.75 | (382) all_98_2_102 = all_66_2_54
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_7_7, all_58_2_42, all_98_2_102 and discharging atoms relation_composition(all_0_6_6, all_0_7_7) = all_98_2_102, relation_composition(all_0_6_6, all_0_7_7) = all_58_2_42, yields:
% 16.95/4.75 | (383) all_98_2_102 = all_58_2_42
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_8_8, all_78_2_72, all_100_2_105 and discharging atoms relation_composition(all_0_6_6, all_0_8_8) = all_100_2_105, relation_composition(all_0_6_6, all_0_8_8) = all_78_2_72, yields:
% 16.95/4.75 | (384) all_100_2_105 = all_78_2_72
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_8_8, all_76_2_69, all_78_2_72 and discharging atoms relation_composition(all_0_6_6, all_0_8_8) = all_78_2_72, relation_composition(all_0_6_6, all_0_8_8) = all_76_2_69, yields:
% 16.95/4.75 | (385) all_78_2_72 = all_76_2_69
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_8_8, all_72_2_63, all_78_2_72 and discharging atoms relation_composition(all_0_6_6, all_0_8_8) = all_78_2_72, relation_composition(all_0_6_6, all_0_8_8) = all_72_2_63, yields:
% 16.95/4.75 | (386) all_78_2_72 = all_72_2_63
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_6_6, all_0_8_8, all_62_2_48, all_100_2_105 and discharging atoms relation_composition(all_0_6_6, all_0_8_8) = all_100_2_105, relation_composition(all_0_6_6, all_0_8_8) = all_62_2_48, yields:
% 16.95/4.75 | (387) all_100_2_105 = all_62_2_48
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_7_7, all_0_6_6, all_86_2_84, all_38_2_33 and discharging atoms relation_composition(all_0_7_7, all_0_6_6) = all_86_2_84, relation_composition(all_0_7_7, all_0_6_6) = all_38_2_33, yields:
% 16.95/4.75 | (388) all_86_2_84 = all_38_2_33
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_7_7, all_0_7_7, all_80_2_75, all_92_2_93 and discharging atoms relation_composition(all_0_7_7, all_0_7_7) = all_92_2_93, relation_composition(all_0_7_7, all_0_7_7) = all_80_2_75, yields:
% 16.95/4.75 | (389) all_92_2_93 = all_80_2_75
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_7_7, all_0_8_8, all_84_2_81, all_122_2_141 and discharging atoms relation_composition(all_0_7_7, all_0_8_8) = all_122_2_141, relation_composition(all_0_7_7, all_0_8_8) = all_84_2_81, yields:
% 16.95/4.75 | (390) all_122_2_141 = all_84_2_81
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_8_8, all_0_6_6, all_74_2_66, all_32_2_24 and discharging atoms relation_composition(all_0_8_8, all_0_6_6) = all_74_2_66, relation_composition(all_0_8_8, all_0_6_6) = all_32_2_24, yields:
% 16.95/4.75 | (391) all_74_2_66 = all_32_2_24
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_8_8, all_0_7_7, all_104_2_111, all_0_6_6 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_104_2_111, relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, yields:
% 16.95/4.75 | (392) all_104_2_111 = all_0_6_6
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_8_8, all_0_7_7, all_96_2_99, all_104_2_111 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_104_2_111, relation_composition(all_0_8_8, all_0_7_7) = all_96_2_99, yields:
% 16.95/4.75 | (393) all_104_2_111 = all_96_2_99
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (6) with all_0_8_8, all_0_8_8, all_82_2_78, all_106_2_114 and discharging atoms relation_composition(all_0_8_8, all_0_8_8) = all_106_2_114, relation_composition(all_0_8_8, all_0_8_8) = all_82_2_78, yields:
% 16.95/4.75 | (394) all_106_2_114 = all_82_2_78
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_38_2_33, all_112_2_124, all_38_1_32 and discharging atoms relation_dom(all_38_2_33) = all_112_2_124, relation_dom(all_38_2_33) = all_38_1_32, yields:
% 16.95/4.75 | (395) all_112_2_124 = all_38_1_32
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_38_2_33, all_110_3_121, all_112_2_124 and discharging atoms relation_dom(all_38_2_33) = all_112_2_124, relation_dom(all_38_2_33) = all_110_3_121, yields:
% 16.95/4.75 | (396) all_112_2_124 = all_110_3_121
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_34_2_27, all_120_2_138, all_34_1_26 and discharging atoms relation_dom(all_34_2_27) = all_120_2_138, relation_dom(all_34_2_27) = all_34_1_26, yields:
% 16.95/4.75 | (397) all_120_2_138 = all_34_1_26
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_34_2_27, all_118_3_135, all_120_2_138 and discharging atoms relation_dom(all_34_2_27) = all_120_2_138, relation_dom(all_34_2_27) = all_118_3_135, yields:
% 16.95/4.75 | (398) all_120_2_138 = all_118_3_135
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_32_2_24, all_116_3_131, all_32_1_23 and discharging atoms relation_dom(all_32_2_24) = all_116_3_131, relation_dom(all_32_2_24) = all_32_1_23, yields:
% 16.95/4.75 | (399) all_116_3_131 = all_32_1_23
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_32_2_24, all_108_2_117, all_116_3_131 and discharging atoms relation_dom(all_32_2_24) = all_116_3_131, relation_dom(all_32_2_24) = all_108_2_117, yields:
% 16.95/4.75 | (400) all_116_3_131 = all_108_2_117
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_0_6_6, all_120_1_137, all_23_3_18 and discharging atoms relation_dom(all_0_6_6) = all_120_1_137, relation_dom(all_0_6_6) = all_23_3_18, yields:
% 16.95/4.75 | (401) all_120_1_137 = all_23_3_18
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_0_6_6, all_100_0_103, all_102_2_108 and discharging atoms relation_dom(all_0_6_6) = all_102_2_108, relation_dom(all_0_6_6) = all_100_0_103, yields:
% 16.95/4.75 | (402) all_102_2_108 = all_100_0_103
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_0_6_6, all_98_0_100, all_114_0_125 and discharging atoms relation_dom(all_0_6_6) = all_114_0_125, relation_dom(all_0_6_6) = all_98_0_100, yields:
% 16.95/4.75 | (403) all_114_0_125 = all_98_0_100
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_0_6_6, all_98_0_100, all_100_0_103 and discharging atoms relation_dom(all_0_6_6) = all_100_0_103, relation_dom(all_0_6_6) = all_98_0_100, yields:
% 16.95/4.75 | (404) all_100_0_103 = all_98_0_100
% 16.95/4.75 |
% 16.95/4.75 | Instantiating formula (26) with all_0_6_6, all_90_2_90, all_98_0_100 and discharging atoms relation_dom(all_0_6_6) = all_98_0_100, relation_dom(all_0_6_6) = all_90_2_90, yields:
% 16.95/4.76 | (405) all_98_0_100 = all_90_2_90
% 16.95/4.76 |
% 16.95/4.76 | Instantiating formula (26) with all_0_6_6, all_78_0_70, all_114_0_125 and discharging atoms relation_dom(all_0_6_6) = all_114_0_125, relation_dom(all_0_6_6) = all_78_0_70, yields:
% 16.95/4.76 | (406) all_114_0_125 = all_78_0_70
% 16.95/4.76 |
% 16.95/4.76 | Instantiating formula (26) with all_0_6_6, all_70_2_60, all_114_0_125 and discharging atoms relation_dom(all_0_6_6) = all_114_0_125, relation_dom(all_0_6_6) = all_70_2_60, yields:
% 16.95/4.76 | (407) all_114_0_125 = all_70_2_60
% 16.95/4.76 |
% 16.95/4.76 | Instantiating formula (26) with all_0_6_6, all_68_0_55, all_72_0_61 and discharging atoms relation_dom(all_0_6_6) = all_72_0_61, relation_dom(all_0_6_6) = all_68_0_55, yields:
% 16.95/4.76 | (408) all_72_0_61 = all_68_0_55
% 16.95/4.76 |
% 16.95/4.76 | Instantiating formula (26) with all_0_6_6, all_68_0_55, all_70_2_60 and discharging atoms relation_dom(all_0_6_6) = all_70_2_60, relation_dom(all_0_6_6) = all_68_0_55, yields:
% 16.95/4.76 | (409) all_70_2_60 = all_68_0_55
% 16.95/4.76 |
% 16.95/4.76 | Instantiating formula (26) with all_0_6_6, all_66_0_52, all_120_1_137 and discharging atoms relation_dom(all_0_6_6) = all_120_1_137, relation_dom(all_0_6_6) = all_66_0_52, yields:
% 16.95/4.76 | (410) all_120_1_137 = all_66_0_52
% 16.95/4.76 |
% 16.95/4.76 | Instantiating formula (26) with all_0_6_6, all_66_0_52, all_94_0_94 and discharging atoms relation_dom(all_0_6_6) = all_94_0_94, relation_dom(all_0_6_6) = all_66_0_52, yields:
% 16.95/4.76 | (411) all_94_0_94 = all_66_0_52
% 16.95/4.76 |
% 16.95/4.76 | Instantiating formula (26) with all_0_6_6, all_64_2_51, all_72_0_61 and discharging atoms relation_dom(all_0_6_6) = all_72_0_61, relation_dom(all_0_6_6) = all_64_2_51, yields:
% 16.95/4.76 | (412) all_72_0_61 = all_64_2_51
% 16.95/4.76 |
% 16.95/4.76 | Instantiating formula (26) with all_0_6_6, all_62_0_46, all_72_0_61 and discharging atoms relation_dom(all_0_6_6) = all_72_0_61, relation_dom(all_0_6_6) = all_62_0_46, yields:
% 16.95/4.76 | (413) all_72_0_61 = all_62_0_46
% 16.95/4.76 |
% 16.95/4.76 | Instantiating formula (26) with all_0_6_6, all_62_0_46, all_66_0_52 and discharging atoms relation_dom(all_0_6_6) = all_66_0_52, relation_dom(all_0_6_6) = all_62_0_46, yields:
% 16.95/4.76 | (414) all_66_0_52 = all_62_0_46
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (26) with all_0_6_6, all_60_0_43, all_94_0_94 and discharging atoms relation_dom(all_0_6_6) = all_94_0_94, relation_dom(all_0_6_6) = all_60_0_43, yields:
% 17.42/4.76 | (415) all_94_0_94 = all_60_0_43
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (26) with all_0_6_6, all_58_0_40, all_102_2_108 and discharging atoms relation_dom(all_0_6_6) = all_102_2_108, relation_dom(all_0_6_6) = all_58_0_40, yields:
% 17.42/4.76 | (416) all_102_2_108 = all_58_0_40
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (26) with all_0_7_7, all_112_1_123, all_38_0_31 and discharging atoms relation_dom(all_0_7_7) = all_112_1_123, relation_dom(all_0_7_7) = all_38_0_31, yields:
% 17.42/4.76 | (417) all_112_1_123 = all_38_0_31
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (26) with all_0_7_7, all_92_0_91, all_112_1_123 and discharging atoms relation_dom(all_0_7_7) = all_112_1_123, relation_dom(all_0_7_7) = all_92_0_91, yields:
% 17.42/4.76 | (418) all_112_1_123 = all_92_0_91
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (26) with all_0_7_7, all_84_0_79, all_112_1_123 and discharging atoms relation_dom(all_0_7_7) = all_112_1_123, relation_dom(all_0_7_7) = all_84_0_79, yields:
% 17.42/4.76 | (419) all_112_1_123 = all_84_0_79
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (26) with all_0_8_8, all_108_1_116, all_32_0_22 and discharging atoms relation_dom(all_0_8_8) = all_108_1_116, relation_dom(all_0_8_8) = all_32_0_22, yields:
% 17.42/4.76 | (420) all_108_1_116 = all_32_0_22
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (26) with all_0_8_8, all_96_0_97, all_108_1_116 and discharging atoms relation_dom(all_0_8_8) = all_108_1_116, relation_dom(all_0_8_8) = all_96_0_97, yields:
% 17.42/4.76 | (421) all_108_1_116 = all_96_0_97
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (26) with all_0_8_8, all_90_1_89, all_108_1_116 and discharging atoms relation_dom(all_0_8_8) = all_108_1_116, relation_dom(all_0_8_8) = all_90_1_89, yields:
% 17.42/4.76 | (422) all_108_1_116 = all_90_1_89
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (26) with all_0_8_8, all_82_0_76, all_108_1_116 and discharging atoms relation_dom(all_0_8_8) = all_108_1_116, relation_dom(all_0_8_8) = all_82_0_76, yields:
% 17.42/4.76 | (423) all_108_1_116 = all_82_0_76
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (38) with all_0_6_6, all_7_0_12, all_88_0_85, all_34_0_25 and discharging atoms apply(all_0_6_6, all_7_0_12) = all_88_0_85, apply(all_0_6_6, all_7_0_12) = all_34_0_25, yields:
% 17.42/4.76 | (424) all_88_0_85 = all_34_0_25
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (38) with all_0_6_6, all_7_0_12, all_76_0_67, all_88_0_85 and discharging atoms apply(all_0_6_6, all_7_0_12) = all_88_0_85, apply(all_0_6_6, all_7_0_12) = all_76_0_67, yields:
% 17.42/4.76 | (425) all_88_0_85 = all_76_0_67
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (38) with all_0_6_6, all_5_0_11, all_118_1_133, all_23_2_17 and discharging atoms apply(all_0_6_6, all_5_0_11) = all_118_1_133, apply(all_0_6_6, all_5_0_11) = all_23_2_17, yields:
% 17.42/4.76 | (426) all_118_1_133 = all_23_2_17
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (38) with all_0_7_7, all_7_0_12, all_86_0_82, all_122_0_139 and discharging atoms apply(all_0_7_7, all_7_0_12) = all_122_0_139, apply(all_0_7_7, all_7_0_12) = all_86_0_82, yields:
% 17.42/4.76 | (427) all_122_0_139 = all_86_0_82
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (38) with all_0_7_7, all_7_0_12, all_80_0_73, all_122_0_139 and discharging atoms apply(all_0_7_7, all_7_0_12) = all_122_0_139, apply(all_0_7_7, all_7_0_12) = all_80_0_73, yields:
% 17.42/4.76 | (428) all_122_0_139 = all_80_0_73
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (38) with all_0_8_8, all_11_0_14, all_90_0_88, all_108_0_115 and discharging atoms apply(all_0_8_8, all_11_0_14) = all_108_0_115, apply(all_0_8_8, all_11_0_14) = all_90_0_88, yields:
% 17.42/4.76 | (429) all_108_0_115 = all_90_0_88
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (38) with all_0_8_8, all_7_0_12, all_104_0_109, all_106_0_112 and discharging atoms apply(all_0_8_8, all_7_0_12) = all_106_0_112, apply(all_0_8_8, all_7_0_12) = all_104_0_109, yields:
% 17.42/4.76 | (430) all_106_0_112 = all_104_0_109
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (38) with all_0_8_8, all_7_0_12, all_74_0_64, all_104_0_109 and discharging atoms apply(all_0_8_8, all_7_0_12) = all_104_0_109, apply(all_0_8_8, all_7_0_12) = all_74_0_64, yields:
% 17.42/4.76 | (431) all_104_0_109 = all_74_0_64
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (38) with all_0_8_8, all_7_0_12, all_70_1_59, all_106_0_112 and discharging atoms apply(all_0_8_8, all_7_0_12) = all_106_0_112, apply(all_0_8_8, all_7_0_12) = all_70_1_59, yields:
% 17.42/4.76 | (432) all_106_0_112 = all_70_1_59
% 17.42/4.76 |
% 17.42/4.76 | Instantiating formula (38) with all_0_8_8, all_5_0_11, all_116_1_129, all_23_1_16 and discharging atoms apply(all_0_8_8, all_5_0_11) = all_116_1_129, apply(all_0_8_8, all_5_0_11) = all_23_1_16, yields:
% 17.42/4.76 | (433) all_116_1_129 = all_23_1_16
% 17.42/4.76 |
% 17.42/4.76 | Combining equations (427,428) yields a new equation:
% 17.42/4.76 | (434) all_86_0_82 = all_80_0_73
% 17.42/4.76 |
% 17.42/4.76 | Simplifying 434 yields:
% 17.42/4.76 | (435) all_86_0_82 = all_80_0_73
% 17.42/4.76 |
% 17.42/4.76 | Combining equations (410,401) yields a new equation:
% 17.42/4.76 | (436) all_66_0_52 = all_23_3_18
% 17.42/4.76 |
% 17.42/4.76 | Simplifying 436 yields:
% 17.42/4.76 | (437) all_66_0_52 = all_23_3_18
% 17.42/4.76 |
% 17.42/4.77 | Combining equations (397,398) yields a new equation:
% 17.42/4.77 | (438) all_118_3_135 = all_34_1_26
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (400,399) yields a new equation:
% 17.42/4.77 | (439) all_108_2_117 = all_32_1_23
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 439 yields:
% 17.42/4.77 | (440) all_108_2_117 = all_32_1_23
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (407,406) yields a new equation:
% 17.42/4.77 | (441) all_78_0_70 = all_70_2_60
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (403,406) yields a new equation:
% 17.42/4.77 | (442) all_98_0_100 = all_78_0_70
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 442 yields:
% 17.42/4.77 | (443) all_98_0_100 = all_78_0_70
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (378,379) yields a new equation:
% 17.42/4.77 | (444) all_68_2_57 = all_60_2_45
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 444 yields:
% 17.42/4.77 | (445) all_68_2_57 = all_60_2_45
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (419,418) yields a new equation:
% 17.42/4.77 | (446) all_92_0_91 = all_84_0_79
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (417,418) yields a new equation:
% 17.42/4.77 | (447) all_92_0_91 = all_38_0_31
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (396,395) yields a new equation:
% 17.42/4.77 | (448) all_110_3_121 = all_38_1_32
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 448 yields:
% 17.42/4.77 | (449) all_110_3_121 = all_38_1_32
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (420,421) yields a new equation:
% 17.42/4.77 | (450) all_96_0_97 = all_32_0_22
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (423,421) yields a new equation:
% 17.42/4.77 | (451) all_96_0_97 = all_82_0_76
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (422,421) yields a new equation:
% 17.42/4.77 | (452) all_96_0_97 = all_90_1_89
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (430,432) yields a new equation:
% 17.42/4.77 | (453) all_104_0_109 = all_70_1_59
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 453 yields:
% 17.42/4.77 | (454) all_104_0_109 = all_70_1_59
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (454,431) yields a new equation:
% 17.42/4.77 | (455) all_74_0_64 = all_70_1_59
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (392,393) yields a new equation:
% 17.42/4.77 | (456) all_96_2_99 = all_0_6_6
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (402,416) yields a new equation:
% 17.42/4.77 | (457) all_100_0_103 = all_58_0_40
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 457 yields:
% 17.42/4.77 | (458) all_100_0_103 = all_58_0_40
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (404,458) yields a new equation:
% 17.42/4.77 | (459) all_98_0_100 = all_58_0_40
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 459 yields:
% 17.42/4.77 | (460) all_98_0_100 = all_58_0_40
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (384,387) yields a new equation:
% 17.42/4.77 | (461) all_78_2_72 = all_62_2_48
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 461 yields:
% 17.42/4.77 | (462) all_78_2_72 = all_62_2_48
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (460,405) yields a new equation:
% 17.42/4.77 | (463) all_90_2_90 = all_58_0_40
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (443,405) yields a new equation:
% 17.42/4.77 | (464) all_90_2_90 = all_78_0_70
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (382,380) yields a new equation:
% 17.42/4.77 | (465) all_94_2_96 = all_66_2_54
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (383,380) yields a new equation:
% 17.42/4.77 | (466) all_94_2_96 = all_58_2_42
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (381,380) yields a new equation:
% 17.42/4.77 | (467) all_94_2_96 = all_88_2_87
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (450,452) yields a new equation:
% 17.42/4.77 | (468) all_90_1_89 = all_32_0_22
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (451,452) yields a new equation:
% 17.42/4.77 | (469) all_90_1_89 = all_82_0_76
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (411,415) yields a new equation:
% 17.42/4.77 | (470) all_66_0_52 = all_60_0_43
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 470 yields:
% 17.42/4.77 | (471) all_66_0_52 = all_60_0_43
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (466,467) yields a new equation:
% 17.42/4.77 | (472) all_88_2_87 = all_58_2_42
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (465,467) yields a new equation:
% 17.42/4.77 | (473) all_88_2_87 = all_66_2_54
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (446,447) yields a new equation:
% 17.42/4.77 | (474) all_84_0_79 = all_38_0_31
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 474 yields:
% 17.42/4.77 | (475) all_84_0_79 = all_38_0_31
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (468,469) yields a new equation:
% 17.42/4.77 | (476) all_82_0_76 = all_32_0_22
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (464,463) yields a new equation:
% 17.42/4.77 | (477) all_78_0_70 = all_58_0_40
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 477 yields:
% 17.42/4.77 | (478) all_78_0_70 = all_58_0_40
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (425,424) yields a new equation:
% 17.42/4.77 | (479) all_76_0_67 = all_34_0_25
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 479 yields:
% 17.42/4.77 | (480) all_76_0_67 = all_34_0_25
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (473,472) yields a new equation:
% 17.42/4.77 | (481) all_66_2_54 = all_58_2_42
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 481 yields:
% 17.42/4.77 | (482) all_66_2_54 = all_58_2_42
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (441,478) yields a new equation:
% 17.42/4.77 | (483) all_70_2_60 = all_58_0_40
% 17.42/4.77 |
% 17.42/4.77 | Simplifying 483 yields:
% 17.42/4.77 | (484) all_70_2_60 = all_58_0_40
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (462,385) yields a new equation:
% 17.42/4.77 | (485) all_76_2_69 = all_62_2_48
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (386,385) yields a new equation:
% 17.42/4.77 | (486) all_76_2_69 = all_72_2_63
% 17.42/4.77 |
% 17.42/4.77 | Combining equations (486,485) yields a new equation:
% 17.42/4.78 | (487) all_72_2_63 = all_62_2_48
% 17.42/4.78 |
% 17.42/4.78 | Simplifying 487 yields:
% 17.42/4.78 | (488) all_72_2_63 = all_62_2_48
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (413,412) yields a new equation:
% 17.42/4.78 | (489) all_64_2_51 = all_62_0_46
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (408,412) yields a new equation:
% 17.42/4.78 | (490) all_68_0_55 = all_64_2_51
% 17.42/4.78 |
% 17.42/4.78 | Simplifying 490 yields:
% 17.42/4.78 | (491) all_68_0_55 = all_64_2_51
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (409,484) yields a new equation:
% 17.42/4.78 | (492) all_68_0_55 = all_58_0_40
% 17.42/4.78 |
% 17.42/4.78 | Simplifying 492 yields:
% 17.42/4.78 | (493) all_68_0_55 = all_58_0_40
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (491,493) yields a new equation:
% 17.42/4.78 | (494) all_64_2_51 = all_58_0_40
% 17.42/4.78 |
% 17.42/4.78 | Simplifying 494 yields:
% 17.42/4.78 | (495) all_64_2_51 = all_58_0_40
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (445,377) yields a new equation:
% 17.42/4.78 | (496) all_60_2_45 = all_34_2_27
% 17.42/4.78 |
% 17.42/4.78 | Simplifying 496 yields:
% 17.42/4.78 | (497) all_60_2_45 = all_34_2_27
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (437,471) yields a new equation:
% 17.42/4.78 | (498) all_60_0_43 = all_23_3_18
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (414,471) yields a new equation:
% 17.42/4.78 | (499) all_62_0_46 = all_60_0_43
% 17.42/4.78 |
% 17.42/4.78 | Simplifying 499 yields:
% 17.42/4.78 | (500) all_62_0_46 = all_60_0_43
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (489,495) yields a new equation:
% 17.42/4.78 | (501) all_62_0_46 = all_58_0_40
% 17.42/4.78 |
% 17.42/4.78 | Simplifying 501 yields:
% 17.42/4.78 | (502) all_62_0_46 = all_58_0_40
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (500,502) yields a new equation:
% 17.42/4.78 | (503) all_60_0_43 = all_58_0_40
% 17.42/4.78 |
% 17.42/4.78 | Simplifying 503 yields:
% 17.42/4.78 | (504) all_60_0_43 = all_58_0_40
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (498,504) yields a new equation:
% 17.42/4.78 | (505) all_58_0_40 = all_23_3_18
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (505,495) yields a new equation:
% 17.42/4.78 | (506) all_64_2_51 = all_23_3_18
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (505,416) yields a new equation:
% 17.42/4.78 | (507) all_102_2_108 = all_23_3_18
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (456,393) yields a new equation:
% 17.42/4.78 | (392) all_104_2_111 = all_0_6_6
% 17.42/4.78 |
% 17.42/4.78 | Combining equations (497,379) yields a new equation:
% 17.42/4.78 | (509) all_114_2_127 = all_34_2_27
% 17.42/4.78 |
% 17.42/4.78 | From (482) and (210) follows:
% 17.42/4.78 | (185) relation_composition(all_0_6_6, all_0_7_7) = all_58_2_42
% 17.42/4.78 |
% 17.42/4.78 | From (488) and (223) follows:
% 17.42/4.78 | (197) relation_composition(all_0_6_6, all_0_8_8) = all_62_2_48
% 17.42/4.78 |
% 17.42/4.78 | From (389) and (283) follows:
% 17.42/4.78 | (250) relation_composition(all_0_7_7, all_0_7_7) = all_80_2_75
% 17.42/4.78 |
% 17.42/4.78 | From (390) and (373) follows:
% 17.42/4.78 | (259) relation_composition(all_0_7_7, all_0_8_8) = all_84_2_81
% 17.42/4.78 |
% 17.42/4.78 | From (456) and (298) follows:
% 17.42/4.78 | (60) relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6
% 17.42/4.78 |
% 17.42/4.78 | From (394) and (328) follows:
% 17.42/4.78 | (254) relation_composition(all_0_8_8, all_0_8_8) = all_82_2_78
% 17.42/4.78 |
% 17.42/4.78 | From (509) and (348) follows:
% 17.42/4.78 | (516) relation_dom(all_34_2_27) = all_114_1_126
% 17.42/4.78 |
% 17.42/4.78 | From (392) and (321) follows:
% 17.42/4.78 | (517) relation_dom(all_0_6_6) = all_104_1_110
% 17.42/4.78 |
% 17.42/4.78 | From (456) and (297) follows:
% 17.42/4.78 | (518) relation_dom(all_0_6_6) = all_96_1_98
% 17.42/4.78 |
% 17.42/4.78 | From (388) and (265) follows:
% 17.42/4.78 | (519) relation_dom(all_38_2_33) = all_86_1_83
% 17.42/4.78 |
% 17.42/4.78 | From (391) and (229) follows:
% 17.42/4.78 | (520) relation_dom(all_32_2_24) = all_74_1_65
% 17.42/4.78 |
% 17.42/4.78 | From (377) and (216) follows:
% 17.42/4.78 | (521) relation_dom(all_34_2_27) = all_68_1_56
% 17.42/4.78 |
% 17.42/4.78 | From (497) and (190) follows:
% 17.42/4.78 | (522) relation_dom(all_34_2_27) = all_60_1_44
% 17.42/4.78 |
% 17.42/4.78 | From (449) and (340) follows:
% 17.42/4.78 | (109) relation_dom(all_38_2_33) = all_38_1_32
% 17.42/4.78 |
% 17.42/4.78 | From (438) and (361) follows:
% 17.42/4.78 | (95) relation_dom(all_34_2_27) = all_34_1_26
% 17.42/4.78 |
% 17.42/4.78 | From (440) and (331) follows:
% 17.42/4.78 | (91) relation_dom(all_32_2_24) = all_32_1_23
% 17.42/4.78 |
% 17.42/4.78 | From (505) and (183) follows:
% 17.42/4.78 | (71) relation_dom(all_0_6_6) = all_23_3_18
% 17.42/4.78 |
% 17.42/4.78 | From (475) and (263) follows:
% 17.42/4.78 | (106) relation_dom(all_0_7_7) = all_38_0_31
% 17.42/4.78 |
% 17.42/4.78 | From (476) and (257) follows:
% 17.42/4.78 | (90) relation_dom(all_0_8_8) = all_32_0_22
% 17.42/4.78 |
% 17.42/4.78 | From (426) and (364) follows:
% 17.42/4.78 | (529) apply(all_0_6_6, all_23_2_17) = all_118_0_132
% 17.42/4.78 |
% 17.42/4.78 | From (433) and (358) follows:
% 17.42/4.78 | (530) apply(all_0_6_6, all_23_1_16) = all_116_0_128
% 17.42/4.78 |
% 17.42/4.78 | From (480) and (236) follows:
% 17.42/4.79 | (94) apply(all_0_6_6, all_7_0_12) = all_34_0_25
% 17.42/4.79 |
% 17.42/4.79 | From (426) and (363) follows:
% 17.42/4.79 | (69) apply(all_0_6_6, all_5_0_11) = all_23_2_17
% 17.42/4.79 |
% 17.42/4.79 | From (435) and (269) follows:
% 17.42/4.79 | (251) apply(all_0_7_7, all_7_0_12) = all_80_0_73
% 17.42/4.79 |
% 17.42/4.79 | From (429) and (334) follows:
% 17.42/4.79 | (278) apply(all_0_8_8, all_11_0_14) = all_90_0_88
% 17.42/4.79 |
% 17.42/4.79 | From (455) and (230) follows:
% 17.42/4.79 | (220) apply(all_0_8_8, all_7_0_12) = all_70_1_59
% 17.42/4.79 |
% 17.42/4.79 | From (433) and (357) follows:
% 17.42/4.79 | (73) apply(all_0_8_8, all_5_0_11) = all_23_1_16
% 17.42/4.79 |
% 17.42/4.79 +-Applying beta-rule and splitting (204), into two cases.
% 17.42/4.79 |-Branch one:
% 17.42/4.79 | (537) ~ in(all_30_2_21, all_64_2_51)
% 17.42/4.79 |
% 17.42/4.79 | From (506) and (537) follows:
% 17.42/4.79 | (538) ~ in(all_30_2_21, all_23_3_18)
% 17.42/4.79 |
% 17.42/4.79 | Using (85) and (538) yields:
% 17.42/4.79 | (539) $false
% 17.42/4.79 |
% 17.42/4.79 |-The branch is then unsatisfiable
% 17.42/4.79 |-Branch two:
% 17.42/4.79 | (540) in(all_30_2_21, all_64_2_51)
% 17.42/4.79 | (541) all_64_0_49 = all_30_0_19
% 17.42/4.79 |
% 17.42/4.79 | From (541) and (202) follows:
% 17.42/4.79 | (542) apply(all_0_7_7, all_64_1_50) = all_30_0_19
% 17.42/4.79 |
% 17.42/4.79 | From (506) and (540) follows:
% 17.42/4.79 | (85) in(all_30_2_21, all_23_3_18)
% 17.42/4.79 |
% 17.42/4.79 +-Applying beta-rule and splitting (316), into two cases.
% 17.42/4.79 |-Branch one:
% 17.42/4.79 | (544) ~ in(all_30_1_20, all_102_2_108)
% 17.42/4.79 |
% 17.42/4.79 | From (507) and (544) follows:
% 17.42/4.79 | (545) ~ in(all_30_1_20, all_23_3_18)
% 17.42/4.79 |
% 17.42/4.79 | Using (84) and (545) yields:
% 17.42/4.79 | (539) $false
% 17.42/4.79 |
% 17.42/4.79 |-The branch is then unsatisfiable
% 17.42/4.79 |-Branch two:
% 17.42/4.79 | (547) in(all_30_1_20, all_102_2_108)
% 17.42/4.79 | (548) all_102_0_106 = all_30_0_19
% 17.42/4.79 |
% 17.42/4.79 | From (548) and (314) follows:
% 17.42/4.79 | (549) apply(all_0_7_7, all_102_1_107) = all_30_0_19
% 17.42/4.79 |
% 17.42/4.79 | From (507) and (547) follows:
% 17.42/4.79 | (84) in(all_30_1_20, all_23_3_18)
% 17.42/4.79 |
% 17.42/4.79 | Instantiating formula (26) with all_38_2_33, all_86_1_83, all_38_1_32 and discharging atoms relation_dom(all_38_2_33) = all_86_1_83, relation_dom(all_38_2_33) = all_38_1_32, yields:
% 17.42/4.79 | (551) all_86_1_83 = all_38_1_32
% 17.42/4.79 |
% 17.42/4.79 | Instantiating formula (26) with all_34_2_27, all_114_1_126, all_34_1_26 and discharging atoms relation_dom(all_34_2_27) = all_114_1_126, relation_dom(all_34_2_27) = all_34_1_26, yields:
% 17.42/4.79 | (552) all_114_1_126 = all_34_1_26
% 17.42/4.79 |
% 17.42/4.79 | Instantiating formula (26) with all_34_2_27, all_68_1_56, all_114_1_126 and discharging atoms relation_dom(all_34_2_27) = all_114_1_126, relation_dom(all_34_2_27) = all_68_1_56, yields:
% 17.42/4.79 | (553) all_114_1_126 = all_68_1_56
% 17.42/4.79 |
% 17.42/4.79 | Instantiating formula (26) with all_34_2_27, all_60_1_44, all_68_1_56 and discharging atoms relation_dom(all_34_2_27) = all_68_1_56, relation_dom(all_34_2_27) = all_60_1_44, yields:
% 17.56/4.79 | (554) all_68_1_56 = all_60_1_44
% 17.56/4.79 |
% 17.56/4.79 | Instantiating formula (26) with all_32_2_24, all_74_1_65, all_32_1_23 and discharging atoms relation_dom(all_32_2_24) = all_74_1_65, relation_dom(all_32_2_24) = all_32_1_23, yields:
% 17.56/4.79 | (555) all_74_1_65 = all_32_1_23
% 17.56/4.79 |
% 17.56/4.79 | Instantiating formula (26) with all_0_6_6, all_104_1_110, all_23_3_18 and discharging atoms relation_dom(all_0_6_6) = all_104_1_110, relation_dom(all_0_6_6) = all_23_3_18, yields:
% 17.56/4.79 | (556) all_104_1_110 = all_23_3_18
% 17.56/4.79 |
% 17.56/4.79 | Instantiating formula (26) with all_0_6_6, all_96_1_98, all_104_1_110 and discharging atoms relation_dom(all_0_6_6) = all_104_1_110, relation_dom(all_0_6_6) = all_96_1_98, yields:
% 17.56/4.79 | (557) all_104_1_110 = all_96_1_98
% 17.56/4.79 |
% 17.56/4.79 | Combining equations (553,552) yields a new equation:
% 17.56/4.79 | (558) all_68_1_56 = all_34_1_26
% 17.56/4.79 |
% 17.56/4.79 | Simplifying 558 yields:
% 17.56/4.79 | (559) all_68_1_56 = all_34_1_26
% 17.56/4.79 |
% 17.56/4.79 | Combining equations (556,557) yields a new equation:
% 17.56/4.79 | (560) all_96_1_98 = all_23_3_18
% 17.56/4.79 |
% 17.56/4.79 | Combining equations (559,554) yields a new equation:
% 17.56/4.79 | (561) all_60_1_44 = all_34_1_26
% 17.56/4.79 |
% 17.56/4.79 | From (551) and (519) follows:
% 17.56/4.80 | (109) relation_dom(all_38_2_33) = all_38_1_32
% 17.56/4.80 |
% 17.56/4.80 | From (561) and (522) follows:
% 17.56/4.80 | (95) relation_dom(all_34_2_27) = all_34_1_26
% 17.56/4.80 |
% 17.56/4.80 | From (555) and (520) follows:
% 17.56/4.80 | (91) relation_dom(all_32_2_24) = all_32_1_23
% 17.56/4.80 |
% 17.56/4.80 | From (560) and (518) follows:
% 17.56/4.80 | (71) relation_dom(all_0_6_6) = all_23_3_18
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (64) with all_58_2_42, all_0_6_6, all_38_0_31, all_0_7_7 and discharging atoms relation_composition(all_0_6_6, all_0_7_7) = all_58_2_42, relation_dom(all_0_7_7) = all_38_0_31, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.80 | (566) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_58_2_42) = v0 & relation_dom(all_0_6_6) = v1 & apply(all_0_6_6, all_11_0_14) = v2 & ( ~ in(v2, all_38_0_31) | ~ in(all_11_0_14, v1) | in(all_11_0_14, v0)) & ( ~ in(all_11_0_14, v0) | (in(v2, all_38_0_31) & in(all_11_0_14, v1))))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (64) with all_62_2_48, all_0_6_6, all_32_0_22, all_0_8_8 and discharging atoms relation_composition(all_0_6_6, all_0_8_8) = all_62_2_48, relation_dom(all_0_8_8) = all_32_0_22, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 17.56/4.80 | (567) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_62_2_48) = v0 & relation_dom(all_0_6_6) = v1 & apply(all_0_6_6, all_11_0_14) = v2 & ( ~ in(v2, all_32_0_22) | ~ in(all_11_0_14, v1) | in(all_11_0_14, v0)) & ( ~ in(all_11_0_14, v0) | (in(v2, all_32_0_22) & in(all_11_0_14, v1))))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (64) with all_80_2_75, all_0_7_7, all_38_0_31, all_0_7_7 and discharging atoms relation_composition(all_0_7_7, all_0_7_7) = all_80_2_75, relation_dom(all_0_7_7) = all_38_0_31, relation(all_0_7_7), function(all_0_7_7), yields:
% 17.56/4.80 | (568) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_80_2_75) = v0 & relation_dom(all_0_7_7) = v1 & apply(all_0_7_7, all_11_0_14) = v2 & ( ~ in(v2, all_38_0_31) | ~ in(all_11_0_14, v1) | in(all_11_0_14, v0)) & ( ~ in(all_11_0_14, v0) | (in(v2, all_38_0_31) & in(all_11_0_14, v1))))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (64) with all_84_2_81, all_0_7_7, all_32_0_22, all_0_8_8 and discharging atoms relation_composition(all_0_7_7, all_0_8_8) = all_84_2_81, relation_dom(all_0_8_8) = all_32_0_22, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.80 | (569) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_84_2_81) = v0 & relation_dom(all_0_7_7) = v1 & apply(all_0_7_7, all_11_0_14) = v2 & ( ~ in(v2, all_32_0_22) | ~ in(all_11_0_14, v1) | in(all_11_0_14, v0)) & ( ~ in(all_11_0_14, v0) | (in(v2, all_32_0_22) & in(all_11_0_14, v1))))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (64) with all_82_2_78, all_0_8_8, all_32_0_22, all_0_8_8 and discharging atoms relation_composition(all_0_8_8, all_0_8_8) = all_82_2_78, relation_dom(all_0_8_8) = all_32_0_22, relation(all_0_8_8), function(all_0_8_8), yields:
% 17.56/4.80 | (570) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_82_2_78) = v0 & relation_dom(all_0_8_8) = v1 & apply(all_0_8_8, all_11_0_14) = v2 & ( ~ in(v2, all_32_0_22) | ~ in(all_11_0_14, v1) | in(all_11_0_14, v0)) & ( ~ in(all_11_0_14, v0) | (in(v2, all_32_0_22) & in(all_11_0_14, v1))))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (4) with all_110_0_118, all_0_6_6, all_0_8_8, all_0_7_7, all_110_1_119 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, apply(all_0_6_6, all_110_1_119) = all_110_0_118, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.80 | (571) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_0_6_6) = v0 & apply(all_0_7_7, v1) = v2 & apply(all_0_8_8, all_110_1_119) = v1 & (v2 = all_110_0_118 | ~ in(all_110_1_119, v0)))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (2) with all_110_0_118, all_0_6_6, all_23_3_18, all_0_6_6, all_110_1_119 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_6_6, all_110_1_119) = all_110_0_118, relation(all_0_6_6), function(all_0_6_6), yields:
% 17.56/4.80 | (572) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_110_0_118, all_23_3_18) | ~ in(all_110_1_119, v2) | in(all_110_1_119, v1)) & ( ~ in(all_110_1_119, v1) | (in(all_110_0_118, all_23_3_18) & in(all_110_1_119, v2))))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (2) with all_110_0_118, all_0_6_6, all_38_0_31, all_0_7_7, all_110_1_119 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_6_6, all_110_1_119) = all_110_0_118, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.80 | (573) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_110_0_118, all_38_0_31) | ~ in(all_110_1_119, v2) | in(all_110_1_119, v1)) & ( ~ in(all_110_1_119, v1) | (in(all_110_0_118, all_38_0_31) & in(all_110_1_119, v2))))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (2) with all_110_0_118, all_0_6_6, all_32_0_22, all_0_8_8, all_110_1_119 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_6_6, all_110_1_119) = all_110_0_118, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 17.56/4.80 | (574) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_110_0_118, all_32_0_22) | ~ in(all_110_1_119, v2) | in(all_110_1_119, v1)) & ( ~ in(all_110_1_119, v1) | (in(all_110_0_118, all_32_0_22) & in(all_110_1_119, v2))))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (4) with all_116_0_128, all_0_6_6, all_0_8_8, all_0_7_7, all_23_1_16 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, apply(all_0_6_6, all_23_1_16) = all_116_0_128, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.80 | (575) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_0_6_6) = v0 & apply(all_0_7_7, v1) = v2 & apply(all_0_8_8, all_23_1_16) = v1 & (v2 = all_116_0_128 | ~ in(all_23_1_16, v0)))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (2) with all_116_0_128, all_0_6_6, all_23_3_18, all_0_6_6, all_23_1_16 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_6_6, all_23_1_16) = all_116_0_128, relation(all_0_6_6), function(all_0_6_6), yields:
% 17.56/4.80 | (576) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_116_0_128, all_23_3_18) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_116_0_128, all_23_3_18) & in(all_23_1_16, v2))))
% 17.56/4.80 |
% 17.56/4.80 | Instantiating formula (2) with all_116_0_128, all_0_6_6, all_38_0_31, all_0_7_7, all_23_1_16 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_6_6, all_23_1_16) = all_116_0_128, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.81 | (577) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_116_0_128, all_38_0_31) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_116_0_128, all_38_0_31) & in(all_23_1_16, v2))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_116_0_128, all_0_6_6, all_32_0_22, all_0_8_8, all_23_1_16 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_6_6, all_23_1_16) = all_116_0_128, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 17.56/4.81 | (578) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_116_0_128, all_32_0_22) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_116_0_128, all_32_0_22) & in(all_23_1_16, v2))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (4) with all_118_0_132, all_0_6_6, all_0_8_8, all_0_7_7, all_23_2_17 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, apply(all_0_6_6, all_23_2_17) = all_118_0_132, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.81 | (579) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_0_6_6) = v0 & apply(all_0_7_7, v1) = v2 & apply(all_0_8_8, all_23_2_17) = v1 & (v2 = all_118_0_132 | ~ in(all_23_2_17, v0)))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_118_0_132, all_0_6_6, all_23_3_18, all_0_6_6, all_23_2_17 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_6_6, all_23_2_17) = all_118_0_132, relation(all_0_6_6), function(all_0_6_6), yields:
% 17.56/4.81 | (580) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_118_0_132, all_23_3_18) | ~ in(all_23_2_17, v2) | in(all_23_2_17, v1)) & ( ~ in(all_23_2_17, v1) | (in(all_118_0_132, all_23_3_18) & in(all_23_2_17, v2))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_118_0_132, all_0_6_6, all_38_0_31, all_0_7_7, all_23_2_17 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_6_6, all_23_2_17) = all_118_0_132, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.81 | (581) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_118_0_132, all_38_0_31) | ~ in(all_23_2_17, v2) | in(all_23_2_17, v1)) & ( ~ in(all_23_2_17, v1) | (in(all_118_0_132, all_38_0_31) & in(all_23_2_17, v2))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_118_0_132, all_0_6_6, all_32_0_22, all_0_8_8, all_23_2_17 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_6_6, all_23_2_17) = all_118_0_132, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 17.56/4.81 | (582) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_118_0_132, all_32_0_22) | ~ in(all_23_2_17, v2) | in(all_23_2_17, v1)) & ( ~ in(all_23_2_17, v1) | (in(all_118_0_132, all_32_0_22) & in(all_23_2_17, v2))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (4) with all_120_0_136, all_0_6_6, all_0_8_8, all_0_7_7, all_11_0_14 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, apply(all_0_6_6, all_11_0_14) = all_120_0_136, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.81 | (583) ? [v0] : ? [v1] : ? [v2] : (relation_dom(all_0_6_6) = v0 & apply(all_0_7_7, v1) = v2 & apply(all_0_8_8, all_11_0_14) = v1 & (v2 = all_120_0_136 | ~ in(all_11_0_14, v0)))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_120_0_136, all_0_6_6, all_23_3_18, all_0_6_6, all_11_0_14 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_6_6, all_11_0_14) = all_120_0_136, relation(all_0_6_6), function(all_0_6_6), yields:
% 17.56/4.81 | (584) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_120_0_136, all_23_3_18) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_120_0_136, all_23_3_18) & in(all_11_0_14, v2))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_120_0_136, all_0_6_6, all_38_0_31, all_0_7_7, all_11_0_14 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_6_6, all_11_0_14) = all_120_0_136, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.81 | (585) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_7_7) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_120_0_136, all_38_0_31) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_120_0_136, all_38_0_31) & in(all_11_0_14, v2))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_120_0_136, all_0_6_6, all_32_0_22, all_0_8_8, all_11_0_14 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_6_6, all_11_0_14) = all_120_0_136, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 17.56/4.81 | (586) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_0_8_8) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_120_0_136, all_32_0_22) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_120_0_136, all_32_0_22) & in(all_11_0_14, v2))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_23_3_18, all_0_6_6, all_102_1_107 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_7_7, all_102_1_107) = all_30_0_19, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.81 | (587) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_102_1_107, v2) | ~ in(all_30_0_19, all_23_3_18) | in(all_102_1_107, v1)) & ( ~ in(all_102_1_107, v1) | (in(all_102_1_107, v2) & in(all_30_0_19, all_23_3_18))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_38_0_31, all_0_7_7, all_102_1_107 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_7_7, all_102_1_107) = all_30_0_19, relation(all_0_7_7), function(all_0_7_7), yields:
% 17.56/4.81 | (588) ? [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_102_1_107, v2) | ~ in(all_30_0_19, all_38_0_31) | in(all_102_1_107, v1)) & ( ~ in(all_102_1_107, v1) | (in(all_102_1_107, v2) & in(all_30_0_19, all_38_0_31))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_32_0_22, all_0_8_8, all_102_1_107 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_7_7, all_102_1_107) = all_30_0_19, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.81 | (589) ? [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_102_1_107, v2) | ~ in(all_30_0_19, all_32_0_22) | in(all_102_1_107, v1)) & ( ~ in(all_102_1_107, v1) | (in(all_102_1_107, v2) & in(all_30_0_19, all_32_0_22))))
% 17.56/4.81 |
% 17.56/4.81 | Instantiating formula (2) with all_70_0_58, all_0_7_7, all_23_3_18, all_0_6_6, all_70_1_59 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_7_7, all_70_1_59) = all_70_0_58, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.82 | (590) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_58, all_23_3_18) | ~ in(all_70_1_59, v2) | in(all_70_1_59, v1)) & ( ~ in(all_70_1_59, v1) | (in(all_70_0_58, all_23_3_18) & in(all_70_1_59, v2))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_70_0_58, all_0_7_7, all_38_0_31, all_0_7_7, all_70_1_59 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_7_7, all_70_1_59) = all_70_0_58, relation(all_0_7_7), function(all_0_7_7), yields:
% 17.56/4.82 | (591) ? [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_58, all_38_0_31) | ~ in(all_70_1_59, v2) | in(all_70_1_59, v1)) & ( ~ in(all_70_1_59, v1) | (in(all_70_0_58, all_38_0_31) & in(all_70_1_59, v2))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_70_0_58, all_0_7_7, all_32_0_22, all_0_8_8, all_70_1_59 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_7_7, all_70_1_59) = all_70_0_58, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.82 | (592) ? [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_58, all_32_0_22) | ~ in(all_70_1_59, v2) | in(all_70_1_59, v1)) & ( ~ in(all_70_1_59, v1) | (in(all_70_0_58, all_32_0_22) & in(all_70_1_59, v2))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_23_3_18, all_0_6_6, all_64_1_50 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_7_7, all_64_1_50) = all_30_0_19, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.82 | (593) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_64_1_50, v2) | ~ in(all_30_0_19, all_23_3_18) | in(all_64_1_50, v1)) & ( ~ in(all_64_1_50, v1) | (in(all_64_1_50, v2) & in(all_30_0_19, all_23_3_18))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_38_0_31, all_0_7_7, all_64_1_50 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_7_7, all_64_1_50) = all_30_0_19, relation(all_0_7_7), function(all_0_7_7), yields:
% 17.56/4.82 | (594) ? [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_64_1_50, v2) | ~ in(all_30_0_19, all_38_0_31) | in(all_64_1_50, v1)) & ( ~ in(all_64_1_50, v1) | (in(all_64_1_50, v2) & in(all_30_0_19, all_38_0_31))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_32_0_22, all_0_8_8, all_64_1_50 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_7_7, all_64_1_50) = all_30_0_19, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.82 | (595) ? [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_64_1_50, v2) | ~ in(all_30_0_19, all_32_0_22) | in(all_64_1_50, v1)) & ( ~ in(all_64_1_50, v1) | (in(all_64_1_50, v2) & in(all_30_0_19, all_32_0_22))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_112_0_122, all_0_7_7, all_23_3_18, all_0_6_6, all_11_0_14 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_7_7, all_11_0_14) = all_112_0_122, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.82 | (596) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_112_0_122, all_23_3_18) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_112_0_122, all_23_3_18) & in(all_11_0_14, v2))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_112_0_122, all_0_7_7, all_38_0_31, all_0_7_7, all_11_0_14 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_7_7, all_11_0_14) = all_112_0_122, relation(all_0_7_7), function(all_0_7_7), yields:
% 17.56/4.82 | (597) ? [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_112_0_122, all_38_0_31) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_112_0_122, all_38_0_31) & in(all_11_0_14, v2))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_112_0_122, all_0_7_7, all_32_0_22, all_0_8_8, all_11_0_14 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_7_7, all_11_0_14) = all_112_0_122, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.82 | (598) ? [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_112_0_122, all_32_0_22) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_112_0_122, all_32_0_22) & in(all_11_0_14, v2))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_80_0_73, all_0_7_7, all_23_3_18, all_0_6_6, all_7_0_12 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_7_7, all_7_0_12) = all_80_0_73, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.82 | (599) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_80_0_73, all_23_3_18) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_80_0_73, all_23_3_18) & in(all_7_0_12, v2))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_80_0_73, all_0_7_7, all_38_0_31, all_0_7_7, all_7_0_12 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_7_7, all_7_0_12) = all_80_0_73, relation(all_0_7_7), function(all_0_7_7), yields:
% 17.56/4.82 | (600) ? [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_80_0_73, all_38_0_31) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_80_0_73, all_38_0_31) & in(all_7_0_12, v2))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_80_0_73, all_0_7_7, all_32_0_22, all_0_8_8, all_7_0_12 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_7_7, all_7_0_12) = all_80_0_73, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.82 | (601) ? [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_80_0_73, all_32_0_22) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_80_0_73, all_32_0_22) & in(all_7_0_12, v2))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_110_1_119, all_0_7_7, all_23_3_18, all_0_6_6, all_5_0_11 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_7_7, all_5_0_11) = all_110_1_119, relation(all_0_6_6), relation(all_0_7_7), function(all_0_6_6), function(all_0_7_7), yields:
% 17.56/4.82 | (602) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_110_1_119, all_23_3_18) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_110_1_119, all_23_3_18) & in(all_5_0_11, v2))))
% 17.56/4.82 |
% 17.56/4.82 | Instantiating formula (2) with all_110_1_119, all_0_7_7, all_38_0_31, all_0_7_7, all_5_0_11 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_7_7, all_5_0_11) = all_110_1_119, relation(all_0_7_7), function(all_0_7_7), yields:
% 17.56/4.83 | (603) ? [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_110_1_119, all_38_0_31) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_110_1_119, all_38_0_31) & in(all_5_0_11, v2))))
% 17.56/4.83 |
% 17.56/4.83 | Instantiating formula (2) with all_110_1_119, all_0_7_7, all_32_0_22, all_0_8_8, all_5_0_11 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_7_7, all_5_0_11) = all_110_1_119, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.83 | (604) ? [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_110_1_119, all_32_0_22) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_110_1_119, all_32_0_22) & in(all_5_0_11, v2))))
% 17.56/4.83 |
% 17.56/4.83 | Instantiating formula (2) with all_102_1_107, all_0_8_8, all_23_3_18, all_0_6_6, all_30_1_20 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_8_8, all_30_1_20) = all_102_1_107, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 17.56/4.83 | (605) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_102_1_107, all_23_3_18) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_102_1_107, all_23_3_18) & in(all_30_1_20, v2))))
% 17.56/4.83 |
% 17.56/4.83 | Instantiating formula (2) with all_102_1_107, all_0_8_8, all_38_0_31, all_0_7_7, all_30_1_20 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_8_8, all_30_1_20) = all_102_1_107, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.83 | (606) ? [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_102_1_107, all_38_0_31) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_102_1_107, all_38_0_31) & in(all_30_1_20, v2))))
% 17.56/4.83 |
% 17.56/4.83 | Instantiating formula (2) with all_102_1_107, all_0_8_8, all_32_0_22, all_0_8_8, all_30_1_20 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_8_8, all_30_1_20) = all_102_1_107, relation(all_0_8_8), function(all_0_8_8), yields:
% 17.56/4.83 | (607) ? [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_102_1_107, all_32_0_22) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_102_1_107, all_32_0_22) & in(all_30_1_20, v2))))
% 17.56/4.83 |
% 17.56/4.83 | Instantiating formula (2) with all_64_1_50, all_0_8_8, all_23_3_18, all_0_6_6, all_30_2_21 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_8_8, all_30_2_21) = all_64_1_50, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 17.56/4.83 | (608) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_64_1_50, all_23_3_18) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_64_1_50, all_23_3_18) & in(all_30_2_21, v2))))
% 17.56/4.83 |
% 17.56/4.83 | Instantiating formula (2) with all_64_1_50, all_0_8_8, all_38_0_31, all_0_7_7, all_30_2_21 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_8_8, all_30_2_21) = all_64_1_50, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.56/4.83 | (609) ? [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_64_1_50, all_38_0_31) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_64_1_50, all_38_0_31) & in(all_30_2_21, v2))))
% 17.56/4.83 |
% 17.56/4.83 | Instantiating formula (2) with all_64_1_50, all_0_8_8, all_32_0_22, all_0_8_8, all_30_2_21 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_8_8, all_30_2_21) = all_64_1_50, relation(all_0_8_8), function(all_0_8_8), yields:
% 17.56/4.83 | (610) ? [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_64_1_50, all_32_0_22) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_64_1_50, all_32_0_22) & in(all_30_2_21, v2))))
% 17.73/4.83 |
% 17.73/4.83 | Instantiating formula (2) with all_90_0_88, all_0_8_8, all_23_3_18, all_0_6_6, all_11_0_14 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_8_8, all_11_0_14) = all_90_0_88, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 17.73/4.83 | (611) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_90_0_88, all_23_3_18) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_90_0_88, all_23_3_18) & in(all_11_0_14, v2))))
% 17.73/4.83 |
% 17.73/4.83 | Instantiating formula (2) with all_90_0_88, all_0_8_8, all_38_0_31, all_0_7_7, all_11_0_14 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_8_8, all_11_0_14) = all_90_0_88, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.73/4.83 | (612) ? [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_90_0_88, all_38_0_31) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_90_0_88, all_38_0_31) & in(all_11_0_14, v2))))
% 17.73/4.83 |
% 17.73/4.83 | Instantiating formula (2) with all_90_0_88, all_0_8_8, all_32_0_22, all_0_8_8, all_11_0_14 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_8_8, all_11_0_14) = all_90_0_88, relation(all_0_8_8), function(all_0_8_8), yields:
% 17.73/4.83 | (613) ? [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_90_0_88, all_32_0_22) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_90_0_88, all_32_0_22) & in(all_11_0_14, v2))))
% 17.73/4.83 |
% 17.73/4.83 | Instantiating formula (2) with all_70_1_59, all_0_8_8, all_23_3_18, all_0_6_6, all_7_0_12 and discharging atoms relation_dom(all_0_6_6) = all_23_3_18, apply(all_0_8_8, all_7_0_12) = all_70_1_59, relation(all_0_6_6), relation(all_0_8_8), function(all_0_6_6), function(all_0_8_8), yields:
% 17.73/4.83 | (614) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_0_6_6) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_70_1_59, all_23_3_18) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_70_1_59, all_23_3_18) & in(all_7_0_12, v2))))
% 17.73/4.83 |
% 17.73/4.83 | Instantiating formula (2) with all_70_1_59, all_0_8_8, all_38_0_31, all_0_7_7, all_7_0_12 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_8_8, all_7_0_12) = all_70_1_59, relation(all_0_7_7), relation(all_0_8_8), function(all_0_7_7), function(all_0_8_8), yields:
% 17.75/4.83 | (615) ? [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_70_1_59, all_38_0_31) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_70_1_59, all_38_0_31) & in(all_7_0_12, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_70_1_59, all_0_8_8, all_32_0_22, all_0_8_8, all_7_0_12 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_8_8, all_7_0_12) = all_70_1_59, relation(all_0_8_8), function(all_0_8_8), yields:
% 17.75/4.84 | (616) ? [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_70_1_59, all_32_0_22) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_70_1_59, all_32_0_22) & in(all_7_0_12, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_38_1_32, all_38_2_33, all_30_1_20 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_6_6, all_30_1_20) = all_30_0_19, relation(all_38_2_33), relation(all_0_6_6), function(all_38_2_33), function(all_0_6_6), yields:
% 17.75/4.84 | (617) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_38_1_32) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_30_0_19, all_38_1_32) & in(all_30_1_20, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_38_1_32, all_38_2_33, all_30_2_21 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_6_6, all_30_2_21) = all_30_0_19, relation(all_38_2_33), relation(all_0_6_6), function(all_38_2_33), function(all_0_6_6), yields:
% 17.75/4.84 | (618) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_38_1_32) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_30_0_19, all_38_1_32) & in(all_30_2_21, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_34_0_25, all_0_6_6, all_38_1_32, all_38_2_33, all_7_0_12 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_6_6, all_7_0_12) = all_34_0_25, relation(all_38_2_33), relation(all_0_6_6), function(all_38_2_33), function(all_0_6_6), yields:
% 17.75/4.84 | (619) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_34_0_25, all_38_1_32) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_34_0_25, all_38_1_32) & in(all_7_0_12, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_23_2_17, all_0_6_6, all_38_1_32, all_38_2_33, all_5_0_11 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_6_6, all_5_0_11) = all_23_2_17, relation(all_38_2_33), relation(all_0_6_6), function(all_38_2_33), function(all_0_6_6), yields:
% 17.75/4.84 | (620) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_23_2_17, all_38_1_32) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_2_17, all_38_1_32) & in(all_5_0_11, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_23_0_15, all_0_7_7, all_38_1_32, all_38_2_33, all_23_1_16 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_7_7, all_23_1_16) = all_23_0_15, relation(all_38_2_33), relation(all_0_7_7), function(all_38_2_33), function(all_0_7_7), yields:
% 17.75/4.84 | (621) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_0_15, all_38_1_32) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_23_0_15, all_38_1_32) & in(all_23_1_16, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_23_1_16, all_0_8_8, all_38_1_32, all_38_2_33, all_5_0_11 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_8_8, all_5_0_11) = all_23_1_16, relation(all_38_2_33), relation(all_0_8_8), function(all_38_2_33), function(all_0_8_8), yields:
% 17.75/4.84 | (622) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_23_1_16, all_38_1_32) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_1_16, all_38_1_32) & in(all_5_0_11, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_110_0_118, all_0_6_6, all_38_1_32, all_38_2_33, all_110_1_119 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_6_6, all_110_1_119) = all_110_0_118, relation(all_38_2_33), relation(all_0_6_6), function(all_38_2_33), function(all_0_6_6), yields:
% 17.75/4.84 | (623) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_110_0_118, all_38_1_32) | ~ in(all_110_1_119, v2) | in(all_110_1_119, v1)) & ( ~ in(all_110_1_119, v1) | (in(all_110_0_118, all_38_1_32) & in(all_110_1_119, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_116_0_128, all_0_6_6, all_38_1_32, all_38_2_33, all_23_1_16 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_6_6, all_23_1_16) = all_116_0_128, relation(all_38_2_33), relation(all_0_6_6), function(all_38_2_33), function(all_0_6_6), yields:
% 17.75/4.84 | (624) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_116_0_128, all_38_1_32) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_116_0_128, all_38_1_32) & in(all_23_1_16, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_118_0_132, all_0_6_6, all_38_1_32, all_38_2_33, all_23_2_17 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_6_6, all_23_2_17) = all_118_0_132, relation(all_38_2_33), relation(all_0_6_6), function(all_38_2_33), function(all_0_6_6), yields:
% 17.75/4.84 | (625) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_118_0_132, all_38_1_32) | ~ in(all_23_2_17, v2) | in(all_23_2_17, v1)) & ( ~ in(all_23_2_17, v1) | (in(all_118_0_132, all_38_1_32) & in(all_23_2_17, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_120_0_136, all_0_6_6, all_38_1_32, all_38_2_33, all_11_0_14 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_6_6, all_11_0_14) = all_120_0_136, relation(all_38_2_33), relation(all_0_6_6), function(all_38_2_33), function(all_0_6_6), yields:
% 17.75/4.84 | (626) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_120_0_136, all_38_1_32) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_120_0_136, all_38_1_32) & in(all_11_0_14, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_38_1_32, all_38_2_33, all_102_1_107 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_7_7, all_102_1_107) = all_30_0_19, relation(all_38_2_33), relation(all_0_7_7), function(all_38_2_33), function(all_0_7_7), yields:
% 17.75/4.84 | (627) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_102_1_107, v2) | ~ in(all_30_0_19, all_38_1_32) | in(all_102_1_107, v1)) & ( ~ in(all_102_1_107, v1) | (in(all_102_1_107, v2) & in(all_30_0_19, all_38_1_32))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_70_0_58, all_0_7_7, all_38_1_32, all_38_2_33, all_70_1_59 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_7_7, all_70_1_59) = all_70_0_58, relation(all_38_2_33), relation(all_0_7_7), function(all_38_2_33), function(all_0_7_7), yields:
% 17.75/4.84 | (628) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_58, all_38_1_32) | ~ in(all_70_1_59, v2) | in(all_70_1_59, v1)) & ( ~ in(all_70_1_59, v1) | (in(all_70_0_58, all_38_1_32) & in(all_70_1_59, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_38_1_32, all_38_2_33, all_64_1_50 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_7_7, all_64_1_50) = all_30_0_19, relation(all_38_2_33), relation(all_0_7_7), function(all_38_2_33), function(all_0_7_7), yields:
% 17.75/4.84 | (629) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_64_1_50, v2) | ~ in(all_30_0_19, all_38_1_32) | in(all_64_1_50, v1)) & ( ~ in(all_64_1_50, v1) | (in(all_64_1_50, v2) & in(all_30_0_19, all_38_1_32))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_112_0_122, all_0_7_7, all_38_1_32, all_38_2_33, all_11_0_14 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_7_7, all_11_0_14) = all_112_0_122, relation(all_38_2_33), relation(all_0_7_7), function(all_38_2_33), function(all_0_7_7), yields:
% 17.75/4.84 | (630) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_112_0_122, all_38_1_32) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_112_0_122, all_38_1_32) & in(all_11_0_14, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_80_0_73, all_0_7_7, all_38_1_32, all_38_2_33, all_7_0_12 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_7_7, all_7_0_12) = all_80_0_73, relation(all_38_2_33), relation(all_0_7_7), function(all_38_2_33), function(all_0_7_7), yields:
% 17.75/4.84 | (631) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_80_0_73, all_38_1_32) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_80_0_73, all_38_1_32) & in(all_7_0_12, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_110_1_119, all_0_7_7, all_38_1_32, all_38_2_33, all_5_0_11 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_7_7, all_5_0_11) = all_110_1_119, relation(all_38_2_33), relation(all_0_7_7), function(all_38_2_33), function(all_0_7_7), yields:
% 17.75/4.84 | (632) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_110_1_119, all_38_1_32) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_110_1_119, all_38_1_32) & in(all_5_0_11, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_102_1_107, all_0_8_8, all_38_1_32, all_38_2_33, all_30_1_20 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_8_8, all_30_1_20) = all_102_1_107, relation(all_38_2_33), relation(all_0_8_8), function(all_38_2_33), function(all_0_8_8), yields:
% 17.75/4.84 | (633) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_102_1_107, all_38_1_32) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_102_1_107, all_38_1_32) & in(all_30_1_20, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_64_1_50, all_0_8_8, all_38_1_32, all_38_2_33, all_30_2_21 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_8_8, all_30_2_21) = all_64_1_50, relation(all_38_2_33), relation(all_0_8_8), function(all_38_2_33), function(all_0_8_8), yields:
% 17.75/4.84 | (634) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_64_1_50, all_38_1_32) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_64_1_50, all_38_1_32) & in(all_30_2_21, v2))))
% 17.75/4.84 |
% 17.75/4.84 | Instantiating formula (2) with all_90_0_88, all_0_8_8, all_38_1_32, all_38_2_33, all_11_0_14 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_8_8, all_11_0_14) = all_90_0_88, relation(all_38_2_33), relation(all_0_8_8), function(all_38_2_33), function(all_0_8_8), yields:
% 17.75/4.84 | (635) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_90_0_88, all_38_1_32) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_90_0_88, all_38_1_32) & in(all_11_0_14, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_70_1_59, all_0_8_8, all_38_1_32, all_38_2_33, all_7_0_12 and discharging atoms relation_dom(all_38_2_33) = all_38_1_32, apply(all_0_8_8, all_7_0_12) = all_70_1_59, relation(all_38_2_33), relation(all_0_8_8), function(all_38_2_33), function(all_0_8_8), yields:
% 17.75/4.85 | (636) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_38_2_33) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_70_1_59, all_38_1_32) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_70_1_59, all_38_1_32) & in(all_7_0_12, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_34_1_26, all_34_2_27, all_30_1_20 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_6_6, all_30_1_20) = all_30_0_19, relation(all_34_2_27), relation(all_0_6_6), function(all_34_2_27), function(all_0_6_6), yields:
% 17.75/4.85 | (637) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_34_1_26) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_30_0_19, all_34_1_26) & in(all_30_1_20, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_34_1_26, all_34_2_27, all_30_2_21 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_6_6, all_30_2_21) = all_30_0_19, relation(all_34_2_27), relation(all_0_6_6), function(all_34_2_27), function(all_0_6_6), yields:
% 17.75/4.85 | (638) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_34_1_26) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_30_0_19, all_34_1_26) & in(all_30_2_21, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_34_0_25, all_0_6_6, all_34_1_26, all_34_2_27, all_7_0_12 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_6_6, all_7_0_12) = all_34_0_25, relation(all_34_2_27), relation(all_0_6_6), function(all_34_2_27), function(all_0_6_6), yields:
% 17.75/4.85 | (639) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_34_0_25, all_34_1_26) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_34_0_25, all_34_1_26) & in(all_7_0_12, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_23_2_17, all_0_6_6, all_34_1_26, all_34_2_27, all_5_0_11 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_6_6, all_5_0_11) = all_23_2_17, relation(all_34_2_27), relation(all_0_6_6), function(all_34_2_27), function(all_0_6_6), yields:
% 17.75/4.85 | (640) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_23_2_17, all_34_1_26) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_2_17, all_34_1_26) & in(all_5_0_11, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_23_0_15, all_0_7_7, all_34_1_26, all_34_2_27, all_23_1_16 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_7_7, all_23_1_16) = all_23_0_15, relation(all_34_2_27), relation(all_0_7_7), function(all_34_2_27), function(all_0_7_7), yields:
% 17.75/4.85 | (641) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_0_15, all_34_1_26) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_23_0_15, all_34_1_26) & in(all_23_1_16, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_23_1_16, all_0_8_8, all_34_1_26, all_34_2_27, all_5_0_11 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_8_8, all_5_0_11) = all_23_1_16, relation(all_34_2_27), relation(all_0_8_8), function(all_34_2_27), function(all_0_8_8), yields:
% 17.75/4.85 | (642) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_23_1_16, all_34_1_26) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_1_16, all_34_1_26) & in(all_5_0_11, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_110_0_118, all_0_6_6, all_34_1_26, all_34_2_27, all_110_1_119 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_6_6, all_110_1_119) = all_110_0_118, relation(all_34_2_27), relation(all_0_6_6), function(all_34_2_27), function(all_0_6_6), yields:
% 17.75/4.85 | (643) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_110_0_118, all_34_1_26) | ~ in(all_110_1_119, v2) | in(all_110_1_119, v1)) & ( ~ in(all_110_1_119, v1) | (in(all_110_0_118, all_34_1_26) & in(all_110_1_119, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_116_0_128, all_0_6_6, all_34_1_26, all_34_2_27, all_23_1_16 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_6_6, all_23_1_16) = all_116_0_128, relation(all_34_2_27), relation(all_0_6_6), function(all_34_2_27), function(all_0_6_6), yields:
% 17.75/4.85 | (644) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_116_0_128, all_34_1_26) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_116_0_128, all_34_1_26) & in(all_23_1_16, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_118_0_132, all_0_6_6, all_34_1_26, all_34_2_27, all_23_2_17 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_6_6, all_23_2_17) = all_118_0_132, relation(all_34_2_27), relation(all_0_6_6), function(all_34_2_27), function(all_0_6_6), yields:
% 17.75/4.85 | (645) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_118_0_132, all_34_1_26) | ~ in(all_23_2_17, v2) | in(all_23_2_17, v1)) & ( ~ in(all_23_2_17, v1) | (in(all_118_0_132, all_34_1_26) & in(all_23_2_17, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_120_0_136, all_0_6_6, all_34_1_26, all_34_2_27, all_11_0_14 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_6_6, all_11_0_14) = all_120_0_136, relation(all_34_2_27), relation(all_0_6_6), function(all_34_2_27), function(all_0_6_6), yields:
% 17.75/4.85 | (646) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_120_0_136, all_34_1_26) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_120_0_136, all_34_1_26) & in(all_11_0_14, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_34_1_26, all_34_2_27, all_102_1_107 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_7_7, all_102_1_107) = all_30_0_19, relation(all_34_2_27), relation(all_0_7_7), function(all_34_2_27), function(all_0_7_7), yields:
% 17.75/4.85 | (647) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_102_1_107, v2) | ~ in(all_30_0_19, all_34_1_26) | in(all_102_1_107, v1)) & ( ~ in(all_102_1_107, v1) | (in(all_102_1_107, v2) & in(all_30_0_19, all_34_1_26))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_70_0_58, all_0_7_7, all_34_1_26, all_34_2_27, all_70_1_59 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_7_7, all_70_1_59) = all_70_0_58, relation(all_34_2_27), relation(all_0_7_7), function(all_34_2_27), function(all_0_7_7), yields:
% 17.75/4.85 | (648) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_58, all_34_1_26) | ~ in(all_70_1_59, v2) | in(all_70_1_59, v1)) & ( ~ in(all_70_1_59, v1) | (in(all_70_0_58, all_34_1_26) & in(all_70_1_59, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_34_1_26, all_34_2_27, all_64_1_50 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_7_7, all_64_1_50) = all_30_0_19, relation(all_34_2_27), relation(all_0_7_7), function(all_34_2_27), function(all_0_7_7), yields:
% 17.75/4.85 | (649) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_64_1_50, v2) | ~ in(all_30_0_19, all_34_1_26) | in(all_64_1_50, v1)) & ( ~ in(all_64_1_50, v1) | (in(all_64_1_50, v2) & in(all_30_0_19, all_34_1_26))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_112_0_122, all_0_7_7, all_34_1_26, all_34_2_27, all_11_0_14 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_7_7, all_11_0_14) = all_112_0_122, relation(all_34_2_27), relation(all_0_7_7), function(all_34_2_27), function(all_0_7_7), yields:
% 17.75/4.85 | (650) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_112_0_122, all_34_1_26) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_112_0_122, all_34_1_26) & in(all_11_0_14, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_80_0_73, all_0_7_7, all_34_1_26, all_34_2_27, all_7_0_12 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_7_7, all_7_0_12) = all_80_0_73, relation(all_34_2_27), relation(all_0_7_7), function(all_34_2_27), function(all_0_7_7), yields:
% 17.75/4.85 | (651) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_80_0_73, all_34_1_26) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_80_0_73, all_34_1_26) & in(all_7_0_12, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_110_1_119, all_0_7_7, all_34_1_26, all_34_2_27, all_5_0_11 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_7_7, all_5_0_11) = all_110_1_119, relation(all_34_2_27), relation(all_0_7_7), function(all_34_2_27), function(all_0_7_7), yields:
% 17.75/4.85 | (652) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_110_1_119, all_34_1_26) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_110_1_119, all_34_1_26) & in(all_5_0_11, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_102_1_107, all_0_8_8, all_34_1_26, all_34_2_27, all_30_1_20 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_8_8, all_30_1_20) = all_102_1_107, relation(all_34_2_27), relation(all_0_8_8), function(all_34_2_27), function(all_0_8_8), yields:
% 17.75/4.85 | (653) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_102_1_107, all_34_1_26) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_102_1_107, all_34_1_26) & in(all_30_1_20, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_64_1_50, all_0_8_8, all_34_1_26, all_34_2_27, all_30_2_21 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_8_8, all_30_2_21) = all_64_1_50, relation(all_34_2_27), relation(all_0_8_8), function(all_34_2_27), function(all_0_8_8), yields:
% 17.75/4.85 | (654) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_64_1_50, all_34_1_26) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_64_1_50, all_34_1_26) & in(all_30_2_21, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_90_0_88, all_0_8_8, all_34_1_26, all_34_2_27, all_11_0_14 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_8_8, all_11_0_14) = all_90_0_88, relation(all_34_2_27), relation(all_0_8_8), function(all_34_2_27), function(all_0_8_8), yields:
% 17.75/4.85 | (655) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_90_0_88, all_34_1_26) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_90_0_88, all_34_1_26) & in(all_11_0_14, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_70_1_59, all_0_8_8, all_34_1_26, all_34_2_27, all_7_0_12 and discharging atoms relation_dom(all_34_2_27) = all_34_1_26, apply(all_0_8_8, all_7_0_12) = all_70_1_59, relation(all_34_2_27), relation(all_0_8_8), function(all_34_2_27), function(all_0_8_8), yields:
% 17.75/4.85 | (656) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_34_2_27) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_70_1_59, all_34_1_26) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_70_1_59, all_34_1_26) & in(all_7_0_12, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_32_1_23, all_32_2_24, all_30_1_20 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_6_6, all_30_1_20) = all_30_0_19, relation(all_32_2_24), relation(all_0_6_6), function(all_32_2_24), function(all_0_6_6), yields:
% 17.75/4.85 | (657) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_32_1_23) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_30_0_19, all_32_1_23) & in(all_30_1_20, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_30_0_19, all_0_6_6, all_32_1_23, all_32_2_24, all_30_2_21 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_6_6, all_30_2_21) = all_30_0_19, relation(all_32_2_24), relation(all_0_6_6), function(all_32_2_24), function(all_0_6_6), yields:
% 17.75/4.85 | (658) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_30_0_19, all_32_1_23) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_30_0_19, all_32_1_23) & in(all_30_2_21, v2))))
% 17.75/4.85 |
% 17.75/4.85 | Instantiating formula (2) with all_34_0_25, all_0_6_6, all_32_1_23, all_32_2_24, all_7_0_12 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_6_6, all_7_0_12) = all_34_0_25, relation(all_32_2_24), relation(all_0_6_6), function(all_32_2_24), function(all_0_6_6), yields:
% 17.75/4.86 | (659) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_34_0_25, all_32_1_23) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_34_0_25, all_32_1_23) & in(all_7_0_12, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_23_2_17, all_0_6_6, all_32_1_23, all_32_2_24, all_5_0_11 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_6_6, all_5_0_11) = all_23_2_17, relation(all_32_2_24), relation(all_0_6_6), function(all_32_2_24), function(all_0_6_6), yields:
% 17.75/4.86 | (660) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_23_2_17, all_32_1_23) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_2_17, all_32_1_23) & in(all_5_0_11, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_23_0_15, all_0_7_7, all_32_1_23, all_32_2_24, all_23_1_16 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_7_7, all_23_1_16) = all_23_0_15, relation(all_32_2_24), relation(all_0_7_7), function(all_32_2_24), function(all_0_7_7), yields:
% 17.75/4.86 | (661) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_23_0_15, all_32_1_23) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_23_0_15, all_32_1_23) & in(all_23_1_16, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_23_1_16, all_0_8_8, all_32_1_23, all_32_2_24, all_5_0_11 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_8_8, all_5_0_11) = all_23_1_16, relation(all_32_2_24), relation(all_0_8_8), function(all_32_2_24), function(all_0_8_8), yields:
% 17.75/4.86 | (662) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_23_1_16, all_32_1_23) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_23_1_16, all_32_1_23) & in(all_5_0_11, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_110_0_118, all_0_6_6, all_32_1_23, all_32_2_24, all_110_1_119 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_6_6, all_110_1_119) = all_110_0_118, relation(all_32_2_24), relation(all_0_6_6), function(all_32_2_24), function(all_0_6_6), yields:
% 17.75/4.86 | (663) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_110_0_118, all_32_1_23) | ~ in(all_110_1_119, v2) | in(all_110_1_119, v1)) & ( ~ in(all_110_1_119, v1) | (in(all_110_0_118, all_32_1_23) & in(all_110_1_119, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_116_0_128, all_0_6_6, all_32_1_23, all_32_2_24, all_23_1_16 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_6_6, all_23_1_16) = all_116_0_128, relation(all_32_2_24), relation(all_0_6_6), function(all_32_2_24), function(all_0_6_6), yields:
% 17.75/4.86 | (664) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_116_0_128, all_32_1_23) | ~ in(all_23_1_16, v2) | in(all_23_1_16, v1)) & ( ~ in(all_23_1_16, v1) | (in(all_116_0_128, all_32_1_23) & in(all_23_1_16, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_118_0_132, all_0_6_6, all_32_1_23, all_32_2_24, all_23_2_17 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_6_6, all_23_2_17) = all_118_0_132, relation(all_32_2_24), relation(all_0_6_6), function(all_32_2_24), function(all_0_6_6), yields:
% 17.75/4.86 | (665) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_118_0_132, all_32_1_23) | ~ in(all_23_2_17, v2) | in(all_23_2_17, v1)) & ( ~ in(all_23_2_17, v1) | (in(all_118_0_132, all_32_1_23) & in(all_23_2_17, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_120_0_136, all_0_6_6, all_32_1_23, all_32_2_24, all_11_0_14 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_6_6, all_11_0_14) = all_120_0_136, relation(all_32_2_24), relation(all_0_6_6), function(all_32_2_24), function(all_0_6_6), yields:
% 17.75/4.86 | (666) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_6_6, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_6_6) = v2 & ( ~ in(all_120_0_136, all_32_1_23) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_120_0_136, all_32_1_23) & in(all_11_0_14, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_32_1_23, all_32_2_24, all_102_1_107 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_7_7, all_102_1_107) = all_30_0_19, relation(all_32_2_24), relation(all_0_7_7), function(all_32_2_24), function(all_0_7_7), yields:
% 17.75/4.86 | (667) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_102_1_107, v2) | ~ in(all_30_0_19, all_32_1_23) | in(all_102_1_107, v1)) & ( ~ in(all_102_1_107, v1) | (in(all_102_1_107, v2) & in(all_30_0_19, all_32_1_23))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_70_0_58, all_0_7_7, all_32_1_23, all_32_2_24, all_70_1_59 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_7_7, all_70_1_59) = all_70_0_58, relation(all_32_2_24), relation(all_0_7_7), function(all_32_2_24), function(all_0_7_7), yields:
% 17.75/4.86 | (668) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_70_0_58, all_32_1_23) | ~ in(all_70_1_59, v2) | in(all_70_1_59, v1)) & ( ~ in(all_70_1_59, v1) | (in(all_70_0_58, all_32_1_23) & in(all_70_1_59, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_30_0_19, all_0_7_7, all_32_1_23, all_32_2_24, all_64_1_50 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_7_7, all_64_1_50) = all_30_0_19, relation(all_32_2_24), relation(all_0_7_7), function(all_32_2_24), function(all_0_7_7), yields:
% 17.75/4.86 | (669) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_64_1_50, v2) | ~ in(all_30_0_19, all_32_1_23) | in(all_64_1_50, v1)) & ( ~ in(all_64_1_50, v1) | (in(all_64_1_50, v2) & in(all_30_0_19, all_32_1_23))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_112_0_122, all_0_7_7, all_32_1_23, all_32_2_24, all_11_0_14 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_7_7, all_11_0_14) = all_112_0_122, relation(all_32_2_24), relation(all_0_7_7), function(all_32_2_24), function(all_0_7_7), yields:
% 17.75/4.86 | (670) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_112_0_122, all_32_1_23) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_112_0_122, all_32_1_23) & in(all_11_0_14, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_80_0_73, all_0_7_7, all_32_1_23, all_32_2_24, all_7_0_12 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_7_7, all_7_0_12) = all_80_0_73, relation(all_32_2_24), relation(all_0_7_7), function(all_32_2_24), function(all_0_7_7), yields:
% 17.75/4.86 | (671) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_80_0_73, all_32_1_23) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_80_0_73, all_32_1_23) & in(all_7_0_12, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_110_1_119, all_0_7_7, all_32_1_23, all_32_2_24, all_5_0_11 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_7_7, all_5_0_11) = all_110_1_119, relation(all_32_2_24), relation(all_0_7_7), function(all_32_2_24), function(all_0_7_7), yields:
% 17.75/4.86 | (672) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_7_7, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_7_7) = v2 & ( ~ in(all_110_1_119, all_32_1_23) | ~ in(all_5_0_11, v2) | in(all_5_0_11, v1)) & ( ~ in(all_5_0_11, v1) | (in(all_110_1_119, all_32_1_23) & in(all_5_0_11, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_102_1_107, all_0_8_8, all_32_1_23, all_32_2_24, all_30_1_20 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_8_8, all_30_1_20) = all_102_1_107, relation(all_32_2_24), relation(all_0_8_8), function(all_32_2_24), function(all_0_8_8), yields:
% 17.75/4.86 | (673) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_102_1_107, all_32_1_23) | ~ in(all_30_1_20, v2) | in(all_30_1_20, v1)) & ( ~ in(all_30_1_20, v1) | (in(all_102_1_107, all_32_1_23) & in(all_30_1_20, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_64_1_50, all_0_8_8, all_32_1_23, all_32_2_24, all_30_2_21 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_8_8, all_30_2_21) = all_64_1_50, relation(all_32_2_24), relation(all_0_8_8), function(all_32_2_24), function(all_0_8_8), yields:
% 17.75/4.86 | (674) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_64_1_50, all_32_1_23) | ~ in(all_30_2_21, v2) | in(all_30_2_21, v1)) & ( ~ in(all_30_2_21, v1) | (in(all_64_1_50, all_32_1_23) & in(all_30_2_21, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_90_0_88, all_0_8_8, all_32_1_23, all_32_2_24, all_11_0_14 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_8_8, all_11_0_14) = all_90_0_88, relation(all_32_2_24), relation(all_0_8_8), function(all_32_2_24), function(all_0_8_8), yields:
% 17.75/4.86 | (675) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_90_0_88, all_32_1_23) | ~ in(all_11_0_14, v2) | in(all_11_0_14, v1)) & ( ~ in(all_11_0_14, v1) | (in(all_90_0_88, all_32_1_23) & in(all_11_0_14, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating formula (2) with all_70_1_59, all_0_8_8, all_32_1_23, all_32_2_24, all_7_0_12 and discharging atoms relation_dom(all_32_2_24) = all_32_1_23, apply(all_0_8_8, all_7_0_12) = all_70_1_59, relation(all_32_2_24), relation(all_0_8_8), function(all_32_2_24), function(all_0_8_8), yields:
% 17.75/4.86 | (676) ? [v0] : ? [v1] : ? [v2] : (relation_composition(all_0_8_8, all_32_2_24) = v0 & relation_dom(v0) = v1 & relation_dom(all_0_8_8) = v2 & ( ~ in(all_70_1_59, all_32_1_23) | ~ in(all_7_0_12, v2) | in(all_7_0_12, v1)) & ( ~ in(all_7_0_12, v1) | (in(all_70_1_59, all_32_1_23) & in(all_7_0_12, v2))))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating (654) with all_146_0_142, all_146_1_143, all_146_2_144 yields:
% 17.75/4.86 | (677) relation_composition(all_0_8_8, all_34_2_27) = all_146_2_144 & relation_dom(all_146_2_144) = all_146_1_143 & relation_dom(all_0_8_8) = all_146_0_142 & ( ~ in(all_64_1_50, all_34_1_26) | ~ in(all_30_2_21, all_146_0_142) | in(all_30_2_21, all_146_1_143)) & ( ~ in(all_30_2_21, all_146_1_143) | (in(all_64_1_50, all_34_1_26) & in(all_30_2_21, all_146_0_142)))
% 17.75/4.86 |
% 17.75/4.86 | Applying alpha-rule on (677) yields:
% 17.75/4.86 | (678) relation_composition(all_0_8_8, all_34_2_27) = all_146_2_144
% 17.75/4.86 | (679) ~ in(all_64_1_50, all_34_1_26) | ~ in(all_30_2_21, all_146_0_142) | in(all_30_2_21, all_146_1_143)
% 17.75/4.86 | (680) ~ in(all_30_2_21, all_146_1_143) | (in(all_64_1_50, all_34_1_26) & in(all_30_2_21, all_146_0_142))
% 17.75/4.86 | (681) relation_dom(all_146_2_144) = all_146_1_143
% 17.75/4.86 | (682) relation_dom(all_0_8_8) = all_146_0_142
% 17.75/4.86 |
% 17.75/4.86 | Instantiating (652) with all_148_0_145, all_148_1_146, all_148_2_147 yields:
% 17.75/4.86 | (683) relation_composition(all_0_7_7, all_34_2_27) = all_148_2_147 & relation_dom(all_148_2_147) = all_148_1_146 & relation_dom(all_0_7_7) = all_148_0_145 & ( ~ in(all_110_1_119, all_34_1_26) | ~ in(all_5_0_11, all_148_0_145) | in(all_5_0_11, all_148_1_146)) & ( ~ in(all_5_0_11, all_148_1_146) | (in(all_110_1_119, all_34_1_26) & in(all_5_0_11, all_148_0_145)))
% 17.75/4.86 |
% 17.75/4.86 | Applying alpha-rule on (683) yields:
% 17.75/4.86 | (684) ~ in(all_110_1_119, all_34_1_26) | ~ in(all_5_0_11, all_148_0_145) | in(all_5_0_11, all_148_1_146)
% 17.75/4.86 | (685) relation_dom(all_148_2_147) = all_148_1_146
% 17.75/4.86 | (686) relation_dom(all_0_7_7) = all_148_0_145
% 17.75/4.86 | (687) relation_composition(all_0_7_7, all_34_2_27) = all_148_2_147
% 17.75/4.86 | (688) ~ in(all_5_0_11, all_148_1_146) | (in(all_110_1_119, all_34_1_26) & in(all_5_0_11, all_148_0_145))
% 17.75/4.86 |
% 17.75/4.86 | Instantiating (646) with all_150_0_148, all_150_1_149, all_150_2_150 yields:
% 17.75/4.86 | (689) relation_composition(all_0_6_6, all_34_2_27) = all_150_2_150 & relation_dom(all_150_2_150) = all_150_1_149 & relation_dom(all_0_6_6) = all_150_0_148 & ( ~ in(all_120_0_136, all_34_1_26) | ~ in(all_11_0_14, all_150_0_148) | in(all_11_0_14, all_150_1_149)) & ( ~ in(all_11_0_14, all_150_1_149) | (in(all_120_0_136, all_34_1_26) & in(all_11_0_14, all_150_0_148)))
% 17.75/4.86 |
% 17.75/4.86 | Applying alpha-rule on (689) yields:
% 17.75/4.86 | (690) relation_composition(all_0_6_6, all_34_2_27) = all_150_2_150
% 17.75/4.86 | (691) ~ in(all_11_0_14, all_150_1_149) | (in(all_120_0_136, all_34_1_26) & in(all_11_0_14, all_150_0_148))
% 17.75/4.86 | (692) relation_dom(all_150_2_150) = all_150_1_149
% 17.75/4.86 | (693) ~ in(all_120_0_136, all_34_1_26) | ~ in(all_11_0_14, all_150_0_148) | in(all_11_0_14, all_150_1_149)
% 17.75/4.86 | (694) relation_dom(all_0_6_6) = all_150_0_148
% 17.75/4.86 |
% 17.75/4.86 | Instantiating (645) with all_152_0_151, all_152_1_152, all_152_2_153 yields:
% 17.75/4.86 | (695) relation_composition(all_0_6_6, all_34_2_27) = all_152_2_153 & relation_dom(all_152_2_153) = all_152_1_152 & relation_dom(all_0_6_6) = all_152_0_151 & ( ~ in(all_118_0_132, all_34_1_26) | ~ in(all_23_2_17, all_152_0_151) | in(all_23_2_17, all_152_1_152)) & ( ~ in(all_23_2_17, all_152_1_152) | (in(all_118_0_132, all_34_1_26) & in(all_23_2_17, all_152_0_151)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (695) yields:
% 17.75/4.87 | (696) ~ in(all_23_2_17, all_152_1_152) | (in(all_118_0_132, all_34_1_26) & in(all_23_2_17, all_152_0_151))
% 17.75/4.87 | (697) relation_dom(all_0_6_6) = all_152_0_151
% 17.75/4.87 | (698) ~ in(all_118_0_132, all_34_1_26) | ~ in(all_23_2_17, all_152_0_151) | in(all_23_2_17, all_152_1_152)
% 17.75/4.87 | (699) relation_composition(all_0_6_6, all_34_2_27) = all_152_2_153
% 17.75/4.87 | (700) relation_dom(all_152_2_153) = all_152_1_152
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (642) with all_156_0_157, all_156_1_158, all_156_2_159 yields:
% 17.75/4.87 | (701) relation_composition(all_0_8_8, all_34_2_27) = all_156_2_159 & relation_dom(all_156_2_159) = all_156_1_158 & relation_dom(all_0_8_8) = all_156_0_157 & ( ~ in(all_23_1_16, all_34_1_26) | ~ in(all_5_0_11, all_156_0_157) | in(all_5_0_11, all_156_1_158)) & ( ~ in(all_5_0_11, all_156_1_158) | (in(all_23_1_16, all_34_1_26) & in(all_5_0_11, all_156_0_157)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (701) yields:
% 17.75/4.87 | (702) relation_dom(all_156_2_159) = all_156_1_158
% 17.75/4.87 | (703) ~ in(all_5_0_11, all_156_1_158) | (in(all_23_1_16, all_34_1_26) & in(all_5_0_11, all_156_0_157))
% 17.75/4.87 | (704) relation_composition(all_0_8_8, all_34_2_27) = all_156_2_159
% 17.75/4.87 | (705) relation_dom(all_0_8_8) = all_156_0_157
% 17.75/4.87 | (706) ~ in(all_23_1_16, all_34_1_26) | ~ in(all_5_0_11, all_156_0_157) | in(all_5_0_11, all_156_1_158)
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (644) with all_158_0_160, all_158_1_161, all_158_2_162 yields:
% 17.75/4.87 | (707) relation_composition(all_0_6_6, all_34_2_27) = all_158_2_162 & relation_dom(all_158_2_162) = all_158_1_161 & relation_dom(all_0_6_6) = all_158_0_160 & ( ~ in(all_116_0_128, all_34_1_26) | ~ in(all_23_1_16, all_158_0_160) | in(all_23_1_16, all_158_1_161)) & ( ~ in(all_23_1_16, all_158_1_161) | (in(all_116_0_128, all_34_1_26) & in(all_23_1_16, all_158_0_160)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (707) yields:
% 17.75/4.87 | (708) ~ in(all_23_1_16, all_158_1_161) | (in(all_116_0_128, all_34_1_26) & in(all_23_1_16, all_158_0_160))
% 17.75/4.87 | (709) relation_dom(all_158_2_162) = all_158_1_161
% 17.75/4.87 | (710) relation_composition(all_0_6_6, all_34_2_27) = all_158_2_162
% 17.75/4.87 | (711) relation_dom(all_0_6_6) = all_158_0_160
% 17.75/4.87 | (712) ~ in(all_116_0_128, all_34_1_26) | ~ in(all_23_1_16, all_158_0_160) | in(all_23_1_16, all_158_1_161)
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (643) with all_160_0_163, all_160_1_164, all_160_2_165 yields:
% 17.75/4.87 | (713) relation_composition(all_0_6_6, all_34_2_27) = all_160_2_165 & relation_dom(all_160_2_165) = all_160_1_164 & relation_dom(all_0_6_6) = all_160_0_163 & ( ~ in(all_110_0_118, all_34_1_26) | ~ in(all_110_1_119, all_160_0_163) | in(all_110_1_119, all_160_1_164)) & ( ~ in(all_110_1_119, all_160_1_164) | (in(all_110_0_118, all_34_1_26) & in(all_110_1_119, all_160_0_163)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (713) yields:
% 17.75/4.87 | (714) relation_composition(all_0_6_6, all_34_2_27) = all_160_2_165
% 17.75/4.87 | (715) ~ in(all_110_1_119, all_160_1_164) | (in(all_110_0_118, all_34_1_26) & in(all_110_1_119, all_160_0_163))
% 17.75/4.87 | (716) ~ in(all_110_0_118, all_34_1_26) | ~ in(all_110_1_119, all_160_0_163) | in(all_110_1_119, all_160_1_164)
% 17.75/4.87 | (717) relation_dom(all_160_2_165) = all_160_1_164
% 17.75/4.87 | (718) relation_dom(all_0_6_6) = all_160_0_163
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (651) with all_162_0_166, all_162_1_167, all_162_2_168 yields:
% 17.75/4.87 | (719) relation_composition(all_0_7_7, all_34_2_27) = all_162_2_168 & relation_dom(all_162_2_168) = all_162_1_167 & relation_dom(all_0_7_7) = all_162_0_166 & ( ~ in(all_80_0_73, all_34_1_26) | ~ in(all_7_0_12, all_162_0_166) | in(all_7_0_12, all_162_1_167)) & ( ~ in(all_7_0_12, all_162_1_167) | (in(all_80_0_73, all_34_1_26) & in(all_7_0_12, all_162_0_166)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (719) yields:
% 17.75/4.87 | (720) relation_dom(all_0_7_7) = all_162_0_166
% 17.75/4.87 | (721) ~ in(all_7_0_12, all_162_1_167) | (in(all_80_0_73, all_34_1_26) & in(all_7_0_12, all_162_0_166))
% 17.75/4.87 | (722) ~ in(all_80_0_73, all_34_1_26) | ~ in(all_7_0_12, all_162_0_166) | in(all_7_0_12, all_162_1_167)
% 17.75/4.87 | (723) relation_dom(all_162_2_168) = all_162_1_167
% 17.75/4.87 | (724) relation_composition(all_0_7_7, all_34_2_27) = all_162_2_168
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (636) with all_166_0_172, all_166_1_173, all_166_2_174 yields:
% 17.75/4.87 | (725) relation_composition(all_0_8_8, all_38_2_33) = all_166_2_174 & relation_dom(all_166_2_174) = all_166_1_173 & relation_dom(all_0_8_8) = all_166_0_172 & ( ~ in(all_70_1_59, all_38_1_32) | ~ in(all_7_0_12, all_166_0_172) | in(all_7_0_12, all_166_1_173)) & ( ~ in(all_7_0_12, all_166_1_173) | (in(all_70_1_59, all_38_1_32) & in(all_7_0_12, all_166_0_172)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (725) yields:
% 17.75/4.87 | (726) relation_composition(all_0_8_8, all_38_2_33) = all_166_2_174
% 17.75/4.87 | (727) ~ in(all_7_0_12, all_166_1_173) | (in(all_70_1_59, all_38_1_32) & in(all_7_0_12, all_166_0_172))
% 17.75/4.87 | (728) relation_dom(all_166_2_174) = all_166_1_173
% 17.75/4.87 | (729) relation_dom(all_0_8_8) = all_166_0_172
% 17.75/4.87 | (730) ~ in(all_70_1_59, all_38_1_32) | ~ in(all_7_0_12, all_166_0_172) | in(all_7_0_12, all_166_1_173)
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (621) with all_168_0_175, all_168_1_176, all_168_2_177 yields:
% 17.75/4.87 | (731) relation_composition(all_0_7_7, all_38_2_33) = all_168_2_177 & relation_dom(all_168_2_177) = all_168_1_176 & relation_dom(all_0_7_7) = all_168_0_175 & ( ~ in(all_23_0_15, all_38_1_32) | ~ in(all_23_1_16, all_168_0_175) | in(all_23_1_16, all_168_1_176)) & ( ~ in(all_23_1_16, all_168_1_176) | (in(all_23_0_15, all_38_1_32) & in(all_23_1_16, all_168_0_175)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (731) yields:
% 17.75/4.87 | (732) relation_composition(all_0_7_7, all_38_2_33) = all_168_2_177
% 17.75/4.87 | (733) relation_dom(all_168_2_177) = all_168_1_176
% 17.75/4.87 | (734) relation_dom(all_0_7_7) = all_168_0_175
% 17.75/4.87 | (735) ~ in(all_23_0_15, all_38_1_32) | ~ in(all_23_1_16, all_168_0_175) | in(all_23_1_16, all_168_1_176)
% 17.75/4.87 | (736) ~ in(all_23_1_16, all_168_1_176) | (in(all_23_0_15, all_38_1_32) & in(all_23_1_16, all_168_0_175))
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (619) with all_170_0_178, all_170_1_179, all_170_2_180 yields:
% 17.75/4.87 | (737) relation_composition(all_0_6_6, all_38_2_33) = all_170_2_180 & relation_dom(all_170_2_180) = all_170_1_179 & relation_dom(all_0_6_6) = all_170_0_178 & ( ~ in(all_34_0_25, all_38_1_32) | ~ in(all_7_0_12, all_170_0_178) | in(all_7_0_12, all_170_1_179)) & ( ~ in(all_7_0_12, all_170_1_179) | (in(all_34_0_25, all_38_1_32) & in(all_7_0_12, all_170_0_178)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (737) yields:
% 17.75/4.87 | (738) relation_dom(all_170_2_180) = all_170_1_179
% 17.75/4.87 | (739) relation_composition(all_0_6_6, all_38_2_33) = all_170_2_180
% 17.75/4.87 | (740) ~ in(all_34_0_25, all_38_1_32) | ~ in(all_7_0_12, all_170_0_178) | in(all_7_0_12, all_170_1_179)
% 17.75/4.87 | (741) relation_dom(all_0_6_6) = all_170_0_178
% 17.75/4.87 | (742) ~ in(all_7_0_12, all_170_1_179) | (in(all_34_0_25, all_38_1_32) & in(all_7_0_12, all_170_0_178))
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (618) with all_172_0_181, all_172_1_182, all_172_2_183 yields:
% 17.75/4.87 | (743) relation_composition(all_0_6_6, all_38_2_33) = all_172_2_183 & relation_dom(all_172_2_183) = all_172_1_182 & relation_dom(all_0_6_6) = all_172_0_181 & ( ~ in(all_30_0_19, all_38_1_32) | ~ in(all_30_2_21, all_172_0_181) | in(all_30_2_21, all_172_1_182)) & ( ~ in(all_30_2_21, all_172_1_182) | (in(all_30_0_19, all_38_1_32) & in(all_30_2_21, all_172_0_181)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (743) yields:
% 17.75/4.87 | (744) relation_dom(all_172_2_183) = all_172_1_182
% 17.75/4.87 | (745) ~ in(all_30_2_21, all_172_1_182) | (in(all_30_0_19, all_38_1_32) & in(all_30_2_21, all_172_0_181))
% 17.75/4.87 | (746) ~ in(all_30_0_19, all_38_1_32) | ~ in(all_30_2_21, all_172_0_181) | in(all_30_2_21, all_172_1_182)
% 17.75/4.87 | (747) relation_dom(all_0_6_6) = all_172_0_181
% 17.75/4.87 | (748) relation_composition(all_0_6_6, all_38_2_33) = all_172_2_183
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (633) with all_174_0_184, all_174_1_185, all_174_2_186 yields:
% 17.75/4.87 | (749) relation_composition(all_0_8_8, all_38_2_33) = all_174_2_186 & relation_dom(all_174_2_186) = all_174_1_185 & relation_dom(all_0_8_8) = all_174_0_184 & ( ~ in(all_102_1_107, all_38_1_32) | ~ in(all_30_1_20, all_174_0_184) | in(all_30_1_20, all_174_1_185)) & ( ~ in(all_30_1_20, all_174_1_185) | (in(all_102_1_107, all_38_1_32) & in(all_30_1_20, all_174_0_184)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (749) yields:
% 17.75/4.87 | (750) relation_dom(all_0_8_8) = all_174_0_184
% 17.75/4.87 | (751) ~ in(all_102_1_107, all_38_1_32) | ~ in(all_30_1_20, all_174_0_184) | in(all_30_1_20, all_174_1_185)
% 17.75/4.87 | (752) relation_composition(all_0_8_8, all_38_2_33) = all_174_2_186
% 17.75/4.87 | (753) ~ in(all_30_1_20, all_174_1_185) | (in(all_102_1_107, all_38_1_32) & in(all_30_1_20, all_174_0_184))
% 17.75/4.87 | (754) relation_dom(all_174_2_186) = all_174_1_185
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (632) with all_176_0_187, all_176_1_188, all_176_2_189 yields:
% 17.75/4.87 | (755) relation_composition(all_0_7_7, all_38_2_33) = all_176_2_189 & relation_dom(all_176_2_189) = all_176_1_188 & relation_dom(all_0_7_7) = all_176_0_187 & ( ~ in(all_110_1_119, all_38_1_32) | ~ in(all_5_0_11, all_176_0_187) | in(all_5_0_11, all_176_1_188)) & ( ~ in(all_5_0_11, all_176_1_188) | (in(all_110_1_119, all_38_1_32) & in(all_5_0_11, all_176_0_187)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (755) yields:
% 17.75/4.87 | (756) relation_dom(all_176_2_189) = all_176_1_188
% 17.75/4.87 | (757) ~ in(all_5_0_11, all_176_1_188) | (in(all_110_1_119, all_38_1_32) & in(all_5_0_11, all_176_0_187))
% 17.75/4.87 | (758) relation_composition(all_0_7_7, all_38_2_33) = all_176_2_189
% 17.75/4.87 | (759) ~ in(all_110_1_119, all_38_1_32) | ~ in(all_5_0_11, all_176_0_187) | in(all_5_0_11, all_176_1_188)
% 17.75/4.87 | (760) relation_dom(all_0_7_7) = all_176_0_187
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (616) with all_178_0_190, all_178_1_191, all_178_2_192 yields:
% 17.75/4.87 | (761) relation_composition(all_0_8_8, all_0_8_8) = all_178_2_192 & relation_dom(all_178_2_192) = all_178_1_191 & relation_dom(all_0_8_8) = all_178_0_190 & ( ~ in(all_70_1_59, all_32_0_22) | ~ in(all_7_0_12, all_178_0_190) | in(all_7_0_12, all_178_1_191)) & ( ~ in(all_7_0_12, all_178_1_191) | (in(all_70_1_59, all_32_0_22) & in(all_7_0_12, all_178_0_190)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (761) yields:
% 17.75/4.87 | (762) relation_dom(all_178_2_192) = all_178_1_191
% 17.75/4.87 | (763) relation_composition(all_0_8_8, all_0_8_8) = all_178_2_192
% 17.75/4.87 | (764) ~ in(all_70_1_59, all_32_0_22) | ~ in(all_7_0_12, all_178_0_190) | in(all_7_0_12, all_178_1_191)
% 17.75/4.87 | (765) relation_dom(all_0_8_8) = all_178_0_190
% 17.75/4.87 | (766) ~ in(all_7_0_12, all_178_1_191) | (in(all_70_1_59, all_32_0_22) & in(all_7_0_12, all_178_0_190))
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (614) with all_180_0_193, all_180_1_194, all_180_2_195 yields:
% 17.75/4.87 | (767) relation_composition(all_0_8_8, all_0_6_6) = all_180_2_195 & relation_dom(all_180_2_195) = all_180_1_194 & relation_dom(all_0_8_8) = all_180_0_193 & ( ~ in(all_70_1_59, all_23_3_18) | ~ in(all_7_0_12, all_180_0_193) | in(all_7_0_12, all_180_1_194)) & ( ~ in(all_7_0_12, all_180_1_194) | (in(all_70_1_59, all_23_3_18) & in(all_7_0_12, all_180_0_193)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (767) yields:
% 17.75/4.87 | (768) ~ in(all_7_0_12, all_180_1_194) | (in(all_70_1_59, all_23_3_18) & in(all_7_0_12, all_180_0_193))
% 17.75/4.87 | (769) relation_dom(all_180_2_195) = all_180_1_194
% 17.75/4.87 | (770) relation_composition(all_0_8_8, all_0_6_6) = all_180_2_195
% 17.75/4.87 | (771) ~ in(all_70_1_59, all_23_3_18) | ~ in(all_7_0_12, all_180_0_193) | in(all_7_0_12, all_180_1_194)
% 17.75/4.87 | (772) relation_dom(all_0_8_8) = all_180_0_193
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (620) with all_182_0_196, all_182_1_197, all_182_2_198 yields:
% 17.75/4.87 | (773) relation_composition(all_0_6_6, all_38_2_33) = all_182_2_198 & relation_dom(all_182_2_198) = all_182_1_197 & relation_dom(all_0_6_6) = all_182_0_196 & ( ~ in(all_23_2_17, all_38_1_32) | ~ in(all_5_0_11, all_182_0_196) | in(all_5_0_11, all_182_1_197)) & ( ~ in(all_5_0_11, all_182_1_197) | (in(all_23_2_17, all_38_1_32) & in(all_5_0_11, all_182_0_196)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (773) yields:
% 17.75/4.87 | (774) relation_dom(all_0_6_6) = all_182_0_196
% 17.75/4.87 | (775) ~ in(all_23_2_17, all_38_1_32) | ~ in(all_5_0_11, all_182_0_196) | in(all_5_0_11, all_182_1_197)
% 17.75/4.87 | (776) relation_dom(all_182_2_198) = all_182_1_197
% 17.75/4.87 | (777) relation_composition(all_0_6_6, all_38_2_33) = all_182_2_198
% 17.75/4.87 | (778) ~ in(all_5_0_11, all_182_1_197) | (in(all_23_2_17, all_38_1_32) & in(all_5_0_11, all_182_0_196))
% 17.75/4.87 |
% 17.75/4.87 | Instantiating (617) with all_184_0_199, all_184_1_200, all_184_2_201 yields:
% 17.75/4.87 | (779) relation_composition(all_0_6_6, all_38_2_33) = all_184_2_201 & relation_dom(all_184_2_201) = all_184_1_200 & relation_dom(all_0_6_6) = all_184_0_199 & ( ~ in(all_30_0_19, all_38_1_32) | ~ in(all_30_1_20, all_184_0_199) | in(all_30_1_20, all_184_1_200)) & ( ~ in(all_30_1_20, all_184_1_200) | (in(all_30_0_19, all_38_1_32) & in(all_30_1_20, all_184_0_199)))
% 17.75/4.87 |
% 17.75/4.87 | Applying alpha-rule on (779) yields:
% 17.75/4.87 | (780) relation_composition(all_0_6_6, all_38_2_33) = all_184_2_201
% 17.75/4.87 | (781) ~ in(all_30_0_19, all_38_1_32) | ~ in(all_30_1_20, all_184_0_199) | in(all_30_1_20, all_184_1_200)
% 17.75/4.87 | (782) relation_dom(all_184_2_201) = all_184_1_200
% 17.75/4.87 | (783) relation_dom(all_0_6_6) = all_184_0_199
% 17.75/4.87 | (784) ~ in(all_30_1_20, all_184_1_200) | (in(all_30_0_19, all_38_1_32) & in(all_30_1_20, all_184_0_199))
% 17.75/4.87 |
% 17.75/4.88 | Instantiating (613) with all_190_0_208, all_190_1_209, all_190_2_210 yields:
% 17.75/4.88 | (785) relation_composition(all_0_8_8, all_0_8_8) = all_190_2_210 & relation_dom(all_190_2_210) = all_190_1_209 & relation_dom(all_0_8_8) = all_190_0_208 & ( ~ in(all_90_0_88, all_32_0_22) | ~ in(all_11_0_14, all_190_0_208) | in(all_11_0_14, all_190_1_209)) & ( ~ in(all_11_0_14, all_190_1_209) | (in(all_90_0_88, all_32_0_22) & in(all_11_0_14, all_190_0_208)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (785) yields:
% 17.75/4.88 | (786) ~ in(all_90_0_88, all_32_0_22) | ~ in(all_11_0_14, all_190_0_208) | in(all_11_0_14, all_190_1_209)
% 17.75/4.88 | (787) relation_composition(all_0_8_8, all_0_8_8) = all_190_2_210
% 17.75/4.88 | (788) ~ in(all_11_0_14, all_190_1_209) | (in(all_90_0_88, all_32_0_22) & in(all_11_0_14, all_190_0_208))
% 17.75/4.88 | (789) relation_dom(all_0_8_8) = all_190_0_208
% 17.75/4.88 | (790) relation_dom(all_190_2_210) = all_190_1_209
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (635) with all_194_0_214, all_194_1_215, all_194_2_216 yields:
% 17.75/4.88 | (791) relation_composition(all_0_8_8, all_38_2_33) = all_194_2_216 & relation_dom(all_194_2_216) = all_194_1_215 & relation_dom(all_0_8_8) = all_194_0_214 & ( ~ in(all_90_0_88, all_38_1_32) | ~ in(all_11_0_14, all_194_0_214) | in(all_11_0_14, all_194_1_215)) & ( ~ in(all_11_0_14, all_194_1_215) | (in(all_90_0_88, all_38_1_32) & in(all_11_0_14, all_194_0_214)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (791) yields:
% 17.75/4.88 | (792) ~ in(all_90_0_88, all_38_1_32) | ~ in(all_11_0_14, all_194_0_214) | in(all_11_0_14, all_194_1_215)
% 17.75/4.88 | (793) relation_dom(all_0_8_8) = all_194_0_214
% 17.75/4.88 | (794) relation_dom(all_194_2_216) = all_194_1_215
% 17.75/4.88 | (795) ~ in(all_11_0_14, all_194_1_215) | (in(all_90_0_88, all_38_1_32) & in(all_11_0_14, all_194_0_214))
% 17.75/4.88 | (796) relation_composition(all_0_8_8, all_38_2_33) = all_194_2_216
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (629) with all_196_0_217, all_196_1_218, all_196_2_219 yields:
% 17.75/4.88 | (797) relation_composition(all_0_7_7, all_38_2_33) = all_196_2_219 & relation_dom(all_196_2_219) = all_196_1_218 & relation_dom(all_0_7_7) = all_196_0_217 & ( ~ in(all_64_1_50, all_196_0_217) | ~ in(all_30_0_19, all_38_1_32) | in(all_64_1_50, all_196_1_218)) & ( ~ in(all_64_1_50, all_196_1_218) | (in(all_64_1_50, all_196_0_217) & in(all_30_0_19, all_38_1_32)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (797) yields:
% 17.75/4.88 | (798) ~ in(all_64_1_50, all_196_0_217) | ~ in(all_30_0_19, all_38_1_32) | in(all_64_1_50, all_196_1_218)
% 17.75/4.88 | (799) relation_dom(all_0_7_7) = all_196_0_217
% 17.75/4.88 | (800) relation_dom(all_196_2_219) = all_196_1_218
% 17.75/4.88 | (801) ~ in(all_64_1_50, all_196_1_218) | (in(all_64_1_50, all_196_0_217) & in(all_30_0_19, all_38_1_32))
% 17.75/4.88 | (802) relation_composition(all_0_7_7, all_38_2_33) = all_196_2_219
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (628) with all_198_0_220, all_198_1_221, all_198_2_222 yields:
% 17.75/4.88 | (803) relation_composition(all_0_7_7, all_38_2_33) = all_198_2_222 & relation_dom(all_198_2_222) = all_198_1_221 & relation_dom(all_0_7_7) = all_198_0_220 & ( ~ in(all_70_0_58, all_38_1_32) | ~ in(all_70_1_59, all_198_0_220) | in(all_70_1_59, all_198_1_221)) & ( ~ in(all_70_1_59, all_198_1_221) | (in(all_70_0_58, all_38_1_32) & in(all_70_1_59, all_198_0_220)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (803) yields:
% 17.75/4.88 | (804) ~ in(all_70_1_59, all_198_1_221) | (in(all_70_0_58, all_38_1_32) & in(all_70_1_59, all_198_0_220))
% 17.75/4.88 | (805) relation_composition(all_0_7_7, all_38_2_33) = all_198_2_222
% 17.75/4.88 | (806) relation_dom(all_0_7_7) = all_198_0_220
% 17.75/4.88 | (807) relation_dom(all_198_2_222) = all_198_1_221
% 17.75/4.88 | (808) ~ in(all_70_0_58, all_38_1_32) | ~ in(all_70_1_59, all_198_0_220) | in(all_70_1_59, all_198_1_221)
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (625) with all_200_0_223, all_200_1_224, all_200_2_225 yields:
% 17.75/4.88 | (809) relation_composition(all_0_6_6, all_38_2_33) = all_200_2_225 & relation_dom(all_200_2_225) = all_200_1_224 & relation_dom(all_0_6_6) = all_200_0_223 & ( ~ in(all_118_0_132, all_38_1_32) | ~ in(all_23_2_17, all_200_0_223) | in(all_23_2_17, all_200_1_224)) & ( ~ in(all_23_2_17, all_200_1_224) | (in(all_118_0_132, all_38_1_32) & in(all_23_2_17, all_200_0_223)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (809) yields:
% 17.75/4.88 | (810) relation_dom(all_200_2_225) = all_200_1_224
% 17.75/4.88 | (811) relation_composition(all_0_6_6, all_38_2_33) = all_200_2_225
% 17.75/4.88 | (812) ~ in(all_118_0_132, all_38_1_32) | ~ in(all_23_2_17, all_200_0_223) | in(all_23_2_17, all_200_1_224)
% 17.75/4.88 | (813) ~ in(all_23_2_17, all_200_1_224) | (in(all_118_0_132, all_38_1_32) & in(all_23_2_17, all_200_0_223))
% 17.75/4.88 | (814) relation_dom(all_0_6_6) = all_200_0_223
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (624) with all_202_0_226, all_202_1_227, all_202_2_228 yields:
% 17.75/4.88 | (815) relation_composition(all_0_6_6, all_38_2_33) = all_202_2_228 & relation_dom(all_202_2_228) = all_202_1_227 & relation_dom(all_0_6_6) = all_202_0_226 & ( ~ in(all_116_0_128, all_38_1_32) | ~ in(all_23_1_16, all_202_0_226) | in(all_23_1_16, all_202_1_227)) & ( ~ in(all_23_1_16, all_202_1_227) | (in(all_116_0_128, all_38_1_32) & in(all_23_1_16, all_202_0_226)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (815) yields:
% 17.75/4.88 | (816) relation_composition(all_0_6_6, all_38_2_33) = all_202_2_228
% 17.75/4.88 | (817) relation_dom(all_0_6_6) = all_202_0_226
% 17.75/4.88 | (818) ~ in(all_116_0_128, all_38_1_32) | ~ in(all_23_1_16, all_202_0_226) | in(all_23_1_16, all_202_1_227)
% 17.75/4.88 | (819) ~ in(all_23_1_16, all_202_1_227) | (in(all_116_0_128, all_38_1_32) & in(all_23_1_16, all_202_0_226))
% 17.75/4.88 | (820) relation_dom(all_202_2_228) = all_202_1_227
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (627) with all_204_0_229, all_204_1_230, all_204_2_231 yields:
% 17.75/4.88 | (821) relation_composition(all_0_7_7, all_38_2_33) = all_204_2_231 & relation_dom(all_204_2_231) = all_204_1_230 & relation_dom(all_0_7_7) = all_204_0_229 & ( ~ in(all_102_1_107, all_204_0_229) | ~ in(all_30_0_19, all_38_1_32) | in(all_102_1_107, all_204_1_230)) & ( ~ in(all_102_1_107, all_204_1_230) | (in(all_102_1_107, all_204_0_229) & in(all_30_0_19, all_38_1_32)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (821) yields:
% 17.75/4.88 | (822) ~ in(all_102_1_107, all_204_0_229) | ~ in(all_30_0_19, all_38_1_32) | in(all_102_1_107, all_204_1_230)
% 17.75/4.88 | (823) relation_composition(all_0_7_7, all_38_2_33) = all_204_2_231
% 17.75/4.88 | (824) relation_dom(all_0_7_7) = all_204_0_229
% 17.75/4.88 | (825) ~ in(all_102_1_107, all_204_1_230) | (in(all_102_1_107, all_204_0_229) & in(all_30_0_19, all_38_1_32))
% 17.75/4.88 | (826) relation_dom(all_204_2_231) = all_204_1_230
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (626) with all_206_0_232, all_206_1_233, all_206_2_234 yields:
% 17.75/4.88 | (827) relation_composition(all_0_6_6, all_38_2_33) = all_206_2_234 & relation_dom(all_206_2_234) = all_206_1_233 & relation_dom(all_0_6_6) = all_206_0_232 & ( ~ in(all_120_0_136, all_38_1_32) | ~ in(all_11_0_14, all_206_0_232) | in(all_11_0_14, all_206_1_233)) & ( ~ in(all_11_0_14, all_206_1_233) | (in(all_120_0_136, all_38_1_32) & in(all_11_0_14, all_206_0_232)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (827) yields:
% 17.75/4.88 | (828) ~ in(all_11_0_14, all_206_1_233) | (in(all_120_0_136, all_38_1_32) & in(all_11_0_14, all_206_0_232))
% 17.75/4.88 | (829) relation_dom(all_0_6_6) = all_206_0_232
% 17.75/4.88 | (830) ~ in(all_120_0_136, all_38_1_32) | ~ in(all_11_0_14, all_206_0_232) | in(all_11_0_14, all_206_1_233)
% 17.75/4.88 | (831) relation_composition(all_0_6_6, all_38_2_33) = all_206_2_234
% 17.75/4.88 | (832) relation_dom(all_206_2_234) = all_206_1_233
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (634) with all_208_0_235, all_208_1_236, all_208_2_237 yields:
% 17.75/4.88 | (833) relation_composition(all_0_8_8, all_38_2_33) = all_208_2_237 & relation_dom(all_208_2_237) = all_208_1_236 & relation_dom(all_0_8_8) = all_208_0_235 & ( ~ in(all_64_1_50, all_38_1_32) | ~ in(all_30_2_21, all_208_0_235) | in(all_30_2_21, all_208_1_236)) & ( ~ in(all_30_2_21, all_208_1_236) | (in(all_64_1_50, all_38_1_32) & in(all_30_2_21, all_208_0_235)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (833) yields:
% 17.75/4.88 | (834) relation_dom(all_208_2_237) = all_208_1_236
% 17.75/4.88 | (835) relation_composition(all_0_8_8, all_38_2_33) = all_208_2_237
% 17.75/4.88 | (836) ~ in(all_30_2_21, all_208_1_236) | (in(all_64_1_50, all_38_1_32) & in(all_30_2_21, all_208_0_235))
% 17.75/4.88 | (837) ~ in(all_64_1_50, all_38_1_32) | ~ in(all_30_2_21, all_208_0_235) | in(all_30_2_21, all_208_1_236)
% 17.75/4.88 | (838) relation_dom(all_0_8_8) = all_208_0_235
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (615) with all_210_0_238, all_210_1_239, all_210_2_240 yields:
% 17.75/4.88 | (839) relation_composition(all_0_8_8, all_0_7_7) = all_210_2_240 & relation_dom(all_210_2_240) = all_210_1_239 & relation_dom(all_0_8_8) = all_210_0_238 & ( ~ in(all_70_1_59, all_38_0_31) | ~ in(all_7_0_12, all_210_0_238) | in(all_7_0_12, all_210_1_239)) & ( ~ in(all_7_0_12, all_210_1_239) | (in(all_70_1_59, all_38_0_31) & in(all_7_0_12, all_210_0_238)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (839) yields:
% 17.75/4.88 | (840) relation_dom(all_0_8_8) = all_210_0_238
% 17.75/4.88 | (841) relation_dom(all_210_2_240) = all_210_1_239
% 17.75/4.88 | (842) ~ in(all_7_0_12, all_210_1_239) | (in(all_70_1_59, all_38_0_31) & in(all_7_0_12, all_210_0_238))
% 17.75/4.88 | (843) relation_composition(all_0_8_8, all_0_7_7) = all_210_2_240
% 17.75/4.88 | (844) ~ in(all_70_1_59, all_38_0_31) | ~ in(all_7_0_12, all_210_0_238) | in(all_7_0_12, all_210_1_239)
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (631) with all_212_0_241, all_212_1_242, all_212_2_243 yields:
% 17.75/4.88 | (845) relation_composition(all_0_7_7, all_38_2_33) = all_212_2_243 & relation_dom(all_212_2_243) = all_212_1_242 & relation_dom(all_0_7_7) = all_212_0_241 & ( ~ in(all_80_0_73, all_38_1_32) | ~ in(all_7_0_12, all_212_0_241) | in(all_7_0_12, all_212_1_242)) & ( ~ in(all_7_0_12, all_212_1_242) | (in(all_80_0_73, all_38_1_32) & in(all_7_0_12, all_212_0_241)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (845) yields:
% 17.75/4.88 | (846) relation_dom(all_212_2_243) = all_212_1_242
% 17.75/4.88 | (847) ~ in(all_80_0_73, all_38_1_32) | ~ in(all_7_0_12, all_212_0_241) | in(all_7_0_12, all_212_1_242)
% 17.75/4.88 | (848) relation_composition(all_0_7_7, all_38_2_33) = all_212_2_243
% 17.75/4.88 | (849) ~ in(all_7_0_12, all_212_1_242) | (in(all_80_0_73, all_38_1_32) & in(all_7_0_12, all_212_0_241))
% 17.75/4.88 | (850) relation_dom(all_0_7_7) = all_212_0_241
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (653) with all_216_0_248, all_216_1_249, all_216_2_250 yields:
% 17.75/4.88 | (851) relation_composition(all_0_8_8, all_34_2_27) = all_216_2_250 & relation_dom(all_216_2_250) = all_216_1_249 & relation_dom(all_0_8_8) = all_216_0_248 & ( ~ in(all_102_1_107, all_34_1_26) | ~ in(all_30_1_20, all_216_0_248) | in(all_30_1_20, all_216_1_249)) & ( ~ in(all_30_1_20, all_216_1_249) | (in(all_102_1_107, all_34_1_26) & in(all_30_1_20, all_216_0_248)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (851) yields:
% 17.75/4.88 | (852) relation_dom(all_216_2_250) = all_216_1_249
% 17.75/4.88 | (853) ~ in(all_102_1_107, all_34_1_26) | ~ in(all_30_1_20, all_216_0_248) | in(all_30_1_20, all_216_1_249)
% 17.75/4.88 | (854) relation_composition(all_0_8_8, all_34_2_27) = all_216_2_250
% 17.75/4.88 | (855) relation_dom(all_0_8_8) = all_216_0_248
% 17.75/4.88 | (856) ~ in(all_30_1_20, all_216_1_249) | (in(all_102_1_107, all_34_1_26) & in(all_30_1_20, all_216_0_248))
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (650) with all_218_0_251, all_218_1_252, all_218_2_253 yields:
% 17.75/4.88 | (857) relation_composition(all_0_7_7, all_34_2_27) = all_218_2_253 & relation_dom(all_218_2_253) = all_218_1_252 & relation_dom(all_0_7_7) = all_218_0_251 & ( ~ in(all_112_0_122, all_34_1_26) | ~ in(all_11_0_14, all_218_0_251) | in(all_11_0_14, all_218_1_252)) & ( ~ in(all_11_0_14, all_218_1_252) | (in(all_112_0_122, all_34_1_26) & in(all_11_0_14, all_218_0_251)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (857) yields:
% 17.75/4.88 | (858) ~ in(all_112_0_122, all_34_1_26) | ~ in(all_11_0_14, all_218_0_251) | in(all_11_0_14, all_218_1_252)
% 17.75/4.88 | (859) relation_dom(all_0_7_7) = all_218_0_251
% 17.75/4.88 | (860) relation_dom(all_218_2_253) = all_218_1_252
% 17.75/4.88 | (861) ~ in(all_11_0_14, all_218_1_252) | (in(all_112_0_122, all_34_1_26) & in(all_11_0_14, all_218_0_251))
% 17.75/4.88 | (862) relation_composition(all_0_7_7, all_34_2_27) = all_218_2_253
% 17.75/4.88 |
% 17.75/4.88 | Instantiating (649) with all_220_0_254, all_220_1_255, all_220_2_256 yields:
% 17.75/4.88 | (863) relation_composition(all_0_7_7, all_34_2_27) = all_220_2_256 & relation_dom(all_220_2_256) = all_220_1_255 & relation_dom(all_0_7_7) = all_220_0_254 & ( ~ in(all_64_1_50, all_220_0_254) | ~ in(all_30_0_19, all_34_1_26) | in(all_64_1_50, all_220_1_255)) & ( ~ in(all_64_1_50, all_220_1_255) | (in(all_64_1_50, all_220_0_254) & in(all_30_0_19, all_34_1_26)))
% 17.75/4.88 |
% 17.75/4.88 | Applying alpha-rule on (863) yields:
% 17.75/4.88 | (864) ~ in(all_64_1_50, all_220_0_254) | ~ in(all_30_0_19, all_34_1_26) | in(all_64_1_50, all_220_1_255)
% 17.75/4.88 | (865) relation_dom(all_220_2_256) = all_220_1_255
% 17.75/4.88 | (866) relation_composition(all_0_7_7, all_34_2_27) = all_220_2_256
% 17.75/4.89 | (867) relation_dom(all_0_7_7) = all_220_0_254
% 17.75/4.89 | (868) ~ in(all_64_1_50, all_220_1_255) | (in(all_64_1_50, all_220_0_254) & in(all_30_0_19, all_34_1_26))
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (639) with all_222_0_257, all_222_1_258, all_222_2_259 yields:
% 17.75/4.89 | (869) relation_composition(all_0_6_6, all_34_2_27) = all_222_2_259 & relation_dom(all_222_2_259) = all_222_1_258 & relation_dom(all_0_6_6) = all_222_0_257 & ( ~ in(all_34_0_25, all_34_1_26) | ~ in(all_7_0_12, all_222_0_257) | in(all_7_0_12, all_222_1_258)) & ( ~ in(all_7_0_12, all_222_1_258) | (in(all_34_0_25, all_34_1_26) & in(all_7_0_12, all_222_0_257)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (869) yields:
% 17.75/4.89 | (870) ~ in(all_34_0_25, all_34_1_26) | ~ in(all_7_0_12, all_222_0_257) | in(all_7_0_12, all_222_1_258)
% 17.75/4.89 | (871) relation_dom(all_0_6_6) = all_222_0_257
% 17.75/4.89 | (872) relation_composition(all_0_6_6, all_34_2_27) = all_222_2_259
% 17.75/4.89 | (873) ~ in(all_7_0_12, all_222_1_258) | (in(all_34_0_25, all_34_1_26) & in(all_7_0_12, all_222_0_257))
% 17.75/4.89 | (874) relation_dom(all_222_2_259) = all_222_1_258
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (638) with all_224_0_260, all_224_1_261, all_224_2_262 yields:
% 17.75/4.89 | (875) relation_composition(all_0_6_6, all_34_2_27) = all_224_2_262 & relation_dom(all_224_2_262) = all_224_1_261 & relation_dom(all_0_6_6) = all_224_0_260 & ( ~ in(all_30_0_19, all_34_1_26) | ~ in(all_30_2_21, all_224_0_260) | in(all_30_2_21, all_224_1_261)) & ( ~ in(all_30_2_21, all_224_1_261) | (in(all_30_0_19, all_34_1_26) & in(all_30_2_21, all_224_0_260)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (875) yields:
% 17.75/4.89 | (876) relation_composition(all_0_6_6, all_34_2_27) = all_224_2_262
% 17.75/4.89 | (877) ~ in(all_30_0_19, all_34_1_26) | ~ in(all_30_2_21, all_224_0_260) | in(all_30_2_21, all_224_1_261)
% 17.75/4.89 | (878) relation_dom(all_224_2_262) = all_224_1_261
% 17.75/4.89 | (879) ~ in(all_30_2_21, all_224_1_261) | (in(all_30_0_19, all_34_1_26) & in(all_30_2_21, all_224_0_260))
% 17.75/4.89 | (880) relation_dom(all_0_6_6) = all_224_0_260
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (637) with all_234_0_275, all_234_1_276, all_234_2_277 yields:
% 17.75/4.89 | (881) relation_composition(all_0_6_6, all_34_2_27) = all_234_2_277 & relation_dom(all_234_2_277) = all_234_1_276 & relation_dom(all_0_6_6) = all_234_0_275 & ( ~ in(all_30_0_19, all_34_1_26) | ~ in(all_30_1_20, all_234_0_275) | in(all_30_1_20, all_234_1_276)) & ( ~ in(all_30_1_20, all_234_1_276) | (in(all_30_0_19, all_34_1_26) & in(all_30_1_20, all_234_0_275)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (881) yields:
% 17.75/4.89 | (882) relation_composition(all_0_6_6, all_34_2_27) = all_234_2_277
% 17.75/4.89 | (883) relation_dom(all_234_2_277) = all_234_1_276
% 17.75/4.89 | (884) ~ in(all_30_0_19, all_34_1_26) | ~ in(all_30_1_20, all_234_0_275) | in(all_30_1_20, all_234_1_276)
% 17.75/4.89 | (885) ~ in(all_30_1_20, all_234_1_276) | (in(all_30_0_19, all_34_1_26) & in(all_30_1_20, all_234_0_275))
% 17.75/4.89 | (886) relation_dom(all_0_6_6) = all_234_0_275
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (608) with all_242_0_287, all_242_1_288, all_242_2_289 yields:
% 17.75/4.89 | (887) relation_composition(all_0_8_8, all_0_6_6) = all_242_2_289 & relation_dom(all_242_2_289) = all_242_1_288 & relation_dom(all_0_8_8) = all_242_0_287 & ( ~ in(all_64_1_50, all_23_3_18) | ~ in(all_30_2_21, all_242_0_287) | in(all_30_2_21, all_242_1_288)) & ( ~ in(all_30_2_21, all_242_1_288) | (in(all_64_1_50, all_23_3_18) & in(all_30_2_21, all_242_0_287)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (887) yields:
% 17.75/4.89 | (888) relation_dom(all_0_8_8) = all_242_0_287
% 17.75/4.89 | (889) relation_dom(all_242_2_289) = all_242_1_288
% 17.75/4.89 | (890) relation_composition(all_0_8_8, all_0_6_6) = all_242_2_289
% 17.75/4.89 | (891) ~ in(all_64_1_50, all_23_3_18) | ~ in(all_30_2_21, all_242_0_287) | in(all_30_2_21, all_242_1_288)
% 17.75/4.89 | (892) ~ in(all_30_2_21, all_242_1_288) | (in(all_64_1_50, all_23_3_18) & in(all_30_2_21, all_242_0_287))
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (606) with all_244_0_290, all_244_1_291, all_244_2_292 yields:
% 17.75/4.89 | (893) relation_composition(all_0_8_8, all_0_7_7) = all_244_2_292 & relation_dom(all_244_2_292) = all_244_1_291 & relation_dom(all_0_8_8) = all_244_0_290 & ( ~ in(all_102_1_107, all_38_0_31) | ~ in(all_30_1_20, all_244_0_290) | in(all_30_1_20, all_244_1_291)) & ( ~ in(all_30_1_20, all_244_1_291) | (in(all_102_1_107, all_38_0_31) & in(all_30_1_20, all_244_0_290)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (893) yields:
% 17.75/4.89 | (894) relation_composition(all_0_8_8, all_0_7_7) = all_244_2_292
% 17.75/4.89 | (895) relation_dom(all_0_8_8) = all_244_0_290
% 17.75/4.89 | (896) ~ in(all_102_1_107, all_38_0_31) | ~ in(all_30_1_20, all_244_0_290) | in(all_30_1_20, all_244_1_291)
% 17.75/4.89 | (897) relation_dom(all_244_2_292) = all_244_1_291
% 17.75/4.89 | (898) ~ in(all_30_1_20, all_244_1_291) | (in(all_102_1_107, all_38_0_31) & in(all_30_1_20, all_244_0_290))
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (601) with all_246_0_293, all_246_1_294, all_246_2_295 yields:
% 17.75/4.89 | (899) relation_composition(all_0_7_7, all_0_8_8) = all_246_2_295 & relation_dom(all_246_2_295) = all_246_1_294 & relation_dom(all_0_7_7) = all_246_0_293 & ( ~ in(all_80_0_73, all_32_0_22) | ~ in(all_7_0_12, all_246_0_293) | in(all_7_0_12, all_246_1_294)) & ( ~ in(all_7_0_12, all_246_1_294) | (in(all_80_0_73, all_32_0_22) & in(all_7_0_12, all_246_0_293)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (899) yields:
% 17.75/4.89 | (900) relation_dom(all_246_2_295) = all_246_1_294
% 17.75/4.89 | (901) relation_composition(all_0_7_7, all_0_8_8) = all_246_2_295
% 17.75/4.89 | (902) ~ in(all_7_0_12, all_246_1_294) | (in(all_80_0_73, all_32_0_22) & in(all_7_0_12, all_246_0_293))
% 17.75/4.89 | (903) relation_dom(all_0_7_7) = all_246_0_293
% 17.75/4.89 | (904) ~ in(all_80_0_73, all_32_0_22) | ~ in(all_7_0_12, all_246_0_293) | in(all_7_0_12, all_246_1_294)
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (599) with all_248_0_296, all_248_1_297, all_248_2_298 yields:
% 17.75/4.89 | (905) relation_composition(all_0_7_7, all_0_6_6) = all_248_2_298 & relation_dom(all_248_2_298) = all_248_1_297 & relation_dom(all_0_7_7) = all_248_0_296 & ( ~ in(all_80_0_73, all_23_3_18) | ~ in(all_7_0_12, all_248_0_296) | in(all_7_0_12, all_248_1_297)) & ( ~ in(all_7_0_12, all_248_1_297) | (in(all_80_0_73, all_23_3_18) & in(all_7_0_12, all_248_0_296)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (905) yields:
% 17.75/4.89 | (906) relation_dom(all_248_2_298) = all_248_1_297
% 17.75/4.89 | (907) relation_dom(all_0_7_7) = all_248_0_296
% 17.75/4.89 | (908) ~ in(all_7_0_12, all_248_1_297) | (in(all_80_0_73, all_23_3_18) & in(all_7_0_12, all_248_0_296))
% 17.75/4.89 | (909) relation_composition(all_0_7_7, all_0_6_6) = all_248_2_298
% 17.75/4.89 | (910) ~ in(all_80_0_73, all_23_3_18) | ~ in(all_7_0_12, all_248_0_296) | in(all_7_0_12, all_248_1_297)
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (648) with all_250_0_299, all_250_1_300, all_250_2_301 yields:
% 17.75/4.89 | (911) relation_composition(all_0_7_7, all_34_2_27) = all_250_2_301 & relation_dom(all_250_2_301) = all_250_1_300 & relation_dom(all_0_7_7) = all_250_0_299 & ( ~ in(all_70_0_58, all_34_1_26) | ~ in(all_70_1_59, all_250_0_299) | in(all_70_1_59, all_250_1_300)) & ( ~ in(all_70_1_59, all_250_1_300) | (in(all_70_0_58, all_34_1_26) & in(all_70_1_59, all_250_0_299)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (911) yields:
% 17.75/4.89 | (912) ~ in(all_70_1_59, all_250_1_300) | (in(all_70_0_58, all_34_1_26) & in(all_70_1_59, all_250_0_299))
% 17.75/4.89 | (913) relation_composition(all_0_7_7, all_34_2_27) = all_250_2_301
% 17.75/4.89 | (914) relation_dom(all_250_2_301) = all_250_1_300
% 17.75/4.89 | (915) ~ in(all_70_0_58, all_34_1_26) | ~ in(all_70_1_59, all_250_0_299) | in(all_70_1_59, all_250_1_300)
% 17.75/4.89 | (916) relation_dom(all_0_7_7) = all_250_0_299
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (647) with all_252_0_302, all_252_1_303, all_252_2_304 yields:
% 17.75/4.89 | (917) relation_composition(all_0_7_7, all_34_2_27) = all_252_2_304 & relation_dom(all_252_2_304) = all_252_1_303 & relation_dom(all_0_7_7) = all_252_0_302 & ( ~ in(all_102_1_107, all_252_0_302) | ~ in(all_30_0_19, all_34_1_26) | in(all_102_1_107, all_252_1_303)) & ( ~ in(all_102_1_107, all_252_1_303) | (in(all_102_1_107, all_252_0_302) & in(all_30_0_19, all_34_1_26)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (917) yields:
% 17.75/4.89 | (918) relation_dom(all_0_7_7) = all_252_0_302
% 17.75/4.89 | (919) relation_composition(all_0_7_7, all_34_2_27) = all_252_2_304
% 17.75/4.89 | (920) ~ in(all_102_1_107, all_252_0_302) | ~ in(all_30_0_19, all_34_1_26) | in(all_102_1_107, all_252_1_303)
% 17.75/4.89 | (921) relation_dom(all_252_2_304) = all_252_1_303
% 17.75/4.89 | (922) ~ in(all_102_1_107, all_252_1_303) | (in(all_102_1_107, all_252_0_302) & in(all_30_0_19, all_34_1_26))
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (598) with all_254_0_305, all_254_1_306, all_254_2_307 yields:
% 17.75/4.89 | (923) relation_composition(all_0_7_7, all_0_8_8) = all_254_2_307 & relation_dom(all_254_2_307) = all_254_1_306 & relation_dom(all_0_7_7) = all_254_0_305 & ( ~ in(all_112_0_122, all_32_0_22) | ~ in(all_11_0_14, all_254_0_305) | in(all_11_0_14, all_254_1_306)) & ( ~ in(all_11_0_14, all_254_1_306) | (in(all_112_0_122, all_32_0_22) & in(all_11_0_14, all_254_0_305)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (923) yields:
% 17.75/4.89 | (924) relation_dom(all_0_7_7) = all_254_0_305
% 17.75/4.89 | (925) relation_dom(all_254_2_307) = all_254_1_306
% 17.75/4.89 | (926) relation_composition(all_0_7_7, all_0_8_8) = all_254_2_307
% 17.75/4.89 | (927) ~ in(all_112_0_122, all_32_0_22) | ~ in(all_11_0_14, all_254_0_305) | in(all_11_0_14, all_254_1_306)
% 17.75/4.89 | (928) ~ in(all_11_0_14, all_254_1_306) | (in(all_112_0_122, all_32_0_22) & in(all_11_0_14, all_254_0_305))
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (605) with all_256_0_308, all_256_1_309, all_256_2_310 yields:
% 17.75/4.89 | (929) relation_composition(all_0_8_8, all_0_6_6) = all_256_2_310 & relation_dom(all_256_2_310) = all_256_1_309 & relation_dom(all_0_8_8) = all_256_0_308 & ( ~ in(all_102_1_107, all_23_3_18) | ~ in(all_30_1_20, all_256_0_308) | in(all_30_1_20, all_256_1_309)) & ( ~ in(all_30_1_20, all_256_1_309) | (in(all_102_1_107, all_23_3_18) & in(all_30_1_20, all_256_0_308)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (929) yields:
% 17.75/4.89 | (930) ~ in(all_102_1_107, all_23_3_18) | ~ in(all_30_1_20, all_256_0_308) | in(all_30_1_20, all_256_1_309)
% 17.75/4.89 | (931) relation_dom(all_0_8_8) = all_256_0_308
% 17.75/4.89 | (932) ~ in(all_30_1_20, all_256_1_309) | (in(all_102_1_107, all_23_3_18) & in(all_30_1_20, all_256_0_308))
% 17.75/4.89 | (933) relation_dom(all_256_2_310) = all_256_1_309
% 17.75/4.89 | (934) relation_composition(all_0_8_8, all_0_6_6) = all_256_2_310
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (570) with all_258_0_311, all_258_1_312, all_258_2_313 yields:
% 17.75/4.89 | (935) relation_dom(all_82_2_78) = all_258_2_313 & relation_dom(all_0_8_8) = all_258_1_312 & apply(all_0_8_8, all_11_0_14) = all_258_0_311 & ( ~ in(all_258_0_311, all_32_0_22) | ~ in(all_11_0_14, all_258_1_312) | in(all_11_0_14, all_258_2_313)) & ( ~ in(all_11_0_14, all_258_2_313) | (in(all_258_0_311, all_32_0_22) & in(all_11_0_14, all_258_1_312)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (935) yields:
% 17.75/4.89 | (936) relation_dom(all_0_8_8) = all_258_1_312
% 17.75/4.89 | (937) ~ in(all_11_0_14, all_258_2_313) | (in(all_258_0_311, all_32_0_22) & in(all_11_0_14, all_258_1_312))
% 17.75/4.89 | (938) apply(all_0_8_8, all_11_0_14) = all_258_0_311
% 17.75/4.89 | (939) ~ in(all_258_0_311, all_32_0_22) | ~ in(all_11_0_14, all_258_1_312) | in(all_11_0_14, all_258_2_313)
% 17.75/4.89 | (940) relation_dom(all_82_2_78) = all_258_2_313
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (600) with all_262_0_318, all_262_1_319, all_262_2_320 yields:
% 17.75/4.89 | (941) relation_composition(all_0_7_7, all_0_7_7) = all_262_2_320 & relation_dom(all_262_2_320) = all_262_1_319 & relation_dom(all_0_7_7) = all_262_0_318 & ( ~ in(all_80_0_73, all_38_0_31) | ~ in(all_7_0_12, all_262_0_318) | in(all_7_0_12, all_262_1_319)) & ( ~ in(all_7_0_12, all_262_1_319) | (in(all_80_0_73, all_38_0_31) & in(all_7_0_12, all_262_0_318)))
% 17.75/4.89 |
% 17.75/4.89 | Applying alpha-rule on (941) yields:
% 17.75/4.89 | (942) ~ in(all_7_0_12, all_262_1_319) | (in(all_80_0_73, all_38_0_31) & in(all_7_0_12, all_262_0_318))
% 17.75/4.89 | (943) relation_dom(all_262_2_320) = all_262_1_319
% 17.75/4.89 | (944) ~ in(all_80_0_73, all_38_0_31) | ~ in(all_7_0_12, all_262_0_318) | in(all_7_0_12, all_262_1_319)
% 17.75/4.89 | (945) relation_composition(all_0_7_7, all_0_7_7) = all_262_2_320
% 17.75/4.89 | (946) relation_dom(all_0_7_7) = all_262_0_318
% 17.75/4.89 |
% 17.75/4.89 | Instantiating (597) with all_264_0_321, all_264_1_322, all_264_2_323 yields:
% 17.75/4.90 | (947) relation_composition(all_0_7_7, all_0_7_7) = all_264_2_323 & relation_dom(all_264_2_323) = all_264_1_322 & relation_dom(all_0_7_7) = all_264_0_321 & ( ~ in(all_112_0_122, all_38_0_31) | ~ in(all_11_0_14, all_264_0_321) | in(all_11_0_14, all_264_1_322)) & ( ~ in(all_11_0_14, all_264_1_322) | (in(all_112_0_122, all_38_0_31) & in(all_11_0_14, all_264_0_321)))
% 17.75/4.90 |
% 17.75/4.90 | Applying alpha-rule on (947) yields:
% 17.75/4.90 | (948) relation_composition(all_0_7_7, all_0_7_7) = all_264_2_323
% 17.75/4.90 | (949) ~ in(all_112_0_122, all_38_0_31) | ~ in(all_11_0_14, all_264_0_321) | in(all_11_0_14, all_264_1_322)
% 17.75/4.90 | (950) ~ in(all_11_0_14, all_264_1_322) | (in(all_112_0_122, all_38_0_31) & in(all_11_0_14, all_264_0_321))
% 17.75/4.90 | (951) relation_dom(all_0_7_7) = all_264_0_321
% 17.75/4.90 | (952) relation_dom(all_264_2_323) = all_264_1_322
% 17.75/4.90 |
% 17.75/4.90 | Instantiating (595) with all_266_0_324, all_266_1_325, all_266_2_326 yields:
% 17.75/4.90 | (953) relation_composition(all_0_7_7, all_0_8_8) = all_266_2_326 & relation_dom(all_266_2_326) = all_266_1_325 & relation_dom(all_0_7_7) = all_266_0_324 & ( ~ in(all_64_1_50, all_266_0_324) | ~ in(all_30_0_19, all_32_0_22) | in(all_64_1_50, all_266_1_325)) & ( ~ in(all_64_1_50, all_266_1_325) | (in(all_64_1_50, all_266_0_324) & in(all_30_0_19, all_32_0_22)))
% 17.75/4.90 |
% 17.75/4.90 | Applying alpha-rule on (953) yields:
% 17.75/4.90 | (954) ~ in(all_64_1_50, all_266_1_325) | (in(all_64_1_50, all_266_0_324) & in(all_30_0_19, all_32_0_22))
% 17.75/4.90 | (955) relation_dom(all_0_7_7) = all_266_0_324
% 17.75/4.90 | (956) ~ in(all_64_1_50, all_266_0_324) | ~ in(all_30_0_19, all_32_0_22) | in(all_64_1_50, all_266_1_325)
% 17.75/4.90 | (957) relation_composition(all_0_7_7, all_0_8_8) = all_266_2_326
% 17.75/4.90 | (958) relation_dom(all_266_2_326) = all_266_1_325
% 17.75/4.90 |
% 17.75/4.90 | Instantiating (630) with all_268_0_327, all_268_1_328, all_268_2_329 yields:
% 17.75/4.90 | (959) relation_composition(all_0_7_7, all_38_2_33) = all_268_2_329 & relation_dom(all_268_2_329) = all_268_1_328 & relation_dom(all_0_7_7) = all_268_0_327 & ( ~ in(all_112_0_122, all_38_1_32) | ~ in(all_11_0_14, all_268_0_327) | in(all_11_0_14, all_268_1_328)) & ( ~ in(all_11_0_14, all_268_1_328) | (in(all_112_0_122, all_38_1_32) & in(all_11_0_14, all_268_0_327)))
% 17.75/4.90 |
% 17.75/4.90 | Applying alpha-rule on (959) yields:
% 17.75/4.90 | (960) relation_dom(all_0_7_7) = all_268_0_327
% 17.75/4.90 | (961) relation_dom(all_268_2_329) = all_268_1_328
% 17.75/4.90 | (962) ~ in(all_112_0_122, all_38_1_32) | ~ in(all_11_0_14, all_268_0_327) | in(all_11_0_14, all_268_1_328)
% 17.75/4.90 | (963) relation_composition(all_0_7_7, all_38_2_33) = all_268_2_329
% 17.75/4.90 | (964) ~ in(all_11_0_14, all_268_1_328) | (in(all_112_0_122, all_38_1_32) & in(all_11_0_14, all_268_0_327))
% 17.75/4.90 |
% 17.75/4.90 | Instantiating (612) with all_270_0_330, all_270_1_331, all_270_2_332 yields:
% 17.75/4.90 | (965) relation_composition(all_0_8_8, all_0_7_7) = all_270_2_332 & relation_dom(all_270_2_332) = all_270_1_331 & relation_dom(all_0_8_8) = all_270_0_330 & ( ~ in(all_90_0_88, all_38_0_31) | ~ in(all_11_0_14, all_270_0_330) | in(all_11_0_14, all_270_1_331)) & ( ~ in(all_11_0_14, all_270_1_331) | (in(all_90_0_88, all_38_0_31) & in(all_11_0_14, all_270_0_330)))
% 17.75/4.90 |
% 17.75/4.90 | Applying alpha-rule on (965) yields:
% 17.75/4.90 | (966) relation_dom(all_0_8_8) = all_270_0_330
% 17.75/4.90 | (967) relation_composition(all_0_8_8, all_0_7_7) = all_270_2_332
% 17.75/4.90 | (968) ~ in(all_11_0_14, all_270_1_331) | (in(all_90_0_88, all_38_0_31) & in(all_11_0_14, all_270_0_330))
% 17.75/4.90 | (969) relation_dom(all_270_2_332) = all_270_1_331
% 17.75/4.90 | (970) ~ in(all_90_0_88, all_38_0_31) | ~ in(all_11_0_14, all_270_0_330) | in(all_11_0_14, all_270_1_331)
% 17.75/4.90 |
% 17.75/4.90 | Instantiating (610) with all_272_0_333, all_272_1_334, all_272_2_335 yields:
% 17.75/4.90 | (971) relation_composition(all_0_8_8, all_0_8_8) = all_272_2_335 & relation_dom(all_272_2_335) = all_272_1_334 & relation_dom(all_0_8_8) = all_272_0_333 & ( ~ in(all_64_1_50, all_32_0_22) | ~ in(all_30_2_21, all_272_0_333) | in(all_30_2_21, all_272_1_334)) & ( ~ in(all_30_2_21, all_272_1_334) | (in(all_64_1_50, all_32_0_22) & in(all_30_2_21, all_272_0_333)))
% 17.75/4.90 |
% 17.75/4.90 | Applying alpha-rule on (971) yields:
% 17.75/4.90 | (972) relation_composition(all_0_8_8, all_0_8_8) = all_272_2_335
% 17.75/4.90 | (973) relation_dom(all_0_8_8) = all_272_0_333
% 17.75/4.90 | (974) ~ in(all_30_2_21, all_272_1_334) | (in(all_64_1_50, all_32_0_22) & in(all_30_2_21, all_272_0_333))
% 17.75/4.90 | (975) ~ in(all_64_1_50, all_32_0_22) | ~ in(all_30_2_21, all_272_0_333) | in(all_30_2_21, all_272_1_334)
% 17.75/4.90 | (976) relation_dom(all_272_2_335) = all_272_1_334
% 17.75/4.90 |
% 17.75/4.90 | Instantiating (609) with all_274_0_336, all_274_1_337, all_274_2_338 yields:
% 17.75/4.90 | (977) relation_composition(all_0_8_8, all_0_7_7) = all_274_2_338 & relation_dom(all_274_2_338) = all_274_1_337 & relation_dom(all_0_8_8) = all_274_0_336 & ( ~ in(all_64_1_50, all_38_0_31) | ~ in(all_30_2_21, all_274_0_336) | in(all_30_2_21, all_274_1_337)) & ( ~ in(all_30_2_21, all_274_1_337) | (in(all_64_1_50, all_38_0_31) & in(all_30_2_21, all_274_0_336)))
% 17.75/4.90 |
% 17.75/4.90 | Applying alpha-rule on (977) yields:
% 17.75/4.90 | (978) ~ in(all_64_1_50, all_38_0_31) | ~ in(all_30_2_21, all_274_0_336) | in(all_30_2_21, all_274_1_337)
% 17.75/4.90 | (979) relation_composition(all_0_8_8, all_0_7_7) = all_274_2_338
% 17.75/4.90 | (980) relation_dom(all_0_8_8) = all_274_0_336
% 17.75/4.90 | (981) relation_dom(all_274_2_338) = all_274_1_337
% 17.75/4.90 | (982) ~ in(all_30_2_21, all_274_1_337) | (in(all_64_1_50, all_38_0_31) & in(all_30_2_21, all_274_0_336))
% 17.75/4.90 |
% 17.75/4.90 | Instantiating (594) with all_276_0_339, all_276_1_340, all_276_2_341 yields:
% 17.75/4.90 | (983) relation_composition(all_0_7_7, all_0_7_7) = all_276_2_341 & relation_dom(all_276_2_341) = all_276_1_340 & relation_dom(all_0_7_7) = all_276_0_339 & ( ~ in(all_64_1_50, all_276_0_339) | ~ in(all_30_0_19, all_38_0_31) | in(all_64_1_50, all_276_1_340)) & ( ~ in(all_64_1_50, all_276_1_340) | (in(all_64_1_50, all_276_0_339) & in(all_30_0_19, all_38_0_31)))
% 18.09/4.91 |
% 18.09/4.91 | Applying alpha-rule on (983) yields:
% 18.09/4.91 | (984) ~ in(all_64_1_50, all_276_1_340) | (in(all_64_1_50, all_276_0_339) & in(all_30_0_19, all_38_0_31))
% 18.09/4.91 | (985) relation_dom(all_276_2_341) = all_276_1_340
% 18.09/4.91 | (986) relation_composition(all_0_7_7, all_0_7_7) = all_276_2_341
% 18.09/4.91 | (987) ~ in(all_64_1_50, all_276_0_339) | ~ in(all_30_0_19, all_38_0_31) | in(all_64_1_50, all_276_1_340)
% 18.09/4.91 | (988) relation_dom(all_0_7_7) = all_276_0_339
% 18.09/4.91 |
% 18.09/4.91 | Instantiating (596) with all_278_0_342, all_278_1_343, all_278_2_344 yields:
% 18.09/4.91 | (989) relation_composition(all_0_7_7, all_0_6_6) = all_278_2_344 & relation_dom(all_278_2_344) = all_278_1_343 & relation_dom(all_0_7_7) = all_278_0_342 & ( ~ in(all_112_0_122, all_23_3_18) | ~ in(all_11_0_14, all_278_0_342) | in(all_11_0_14, all_278_1_343)) & ( ~ in(all_11_0_14, all_278_1_343) | (in(all_112_0_122, all_23_3_18) & in(all_11_0_14, all_278_0_342)))
% 18.09/4.91 |
% 18.09/4.91 | Applying alpha-rule on (989) yields:
% 18.09/4.91 | (990) ~ in(all_112_0_122, all_23_3_18) | ~ in(all_11_0_14, all_278_0_342) | in(all_11_0_14, all_278_1_343)
% 18.09/4.91 | (991) relation_dom(all_278_2_344) = all_278_1_343
% 18.09/4.91 | (992) relation_composition(all_0_7_7, all_0_6_6) = all_278_2_344
% 18.09/4.91 | (993) ~ in(all_11_0_14, all_278_1_343) | (in(all_112_0_122, all_23_3_18) & in(all_11_0_14, all_278_0_342))
% 18.09/4.91 | (994) relation_dom(all_0_7_7) = all_278_0_342
% 18.09/4.91 |
% 18.09/4.91 | Instantiating (611) with all_280_0_345, all_280_1_346, all_280_2_347 yields:
% 18.09/4.91 | (995) relation_composition(all_0_8_8, all_0_6_6) = all_280_2_347 & relation_dom(all_280_2_347) = all_280_1_346 & relation_dom(all_0_8_8) = all_280_0_345 & ( ~ in(all_90_0_88, all_23_3_18) | ~ in(all_11_0_14, all_280_0_345) | in(all_11_0_14, all_280_1_346)) & ( ~ in(all_11_0_14, all_280_1_346) | (in(all_90_0_88, all_23_3_18) & in(all_11_0_14, all_280_0_345)))
% 18.09/4.91 |
% 18.09/4.91 | Applying alpha-rule on (995) yields:
% 18.09/4.91 | (996) relation_dom(all_280_2_347) = all_280_1_346
% 18.09/4.91 | (997) relation_dom(all_0_8_8) = all_280_0_345
% 18.09/4.91 | (998) ~ in(all_90_0_88, all_23_3_18) | ~ in(all_11_0_14, all_280_0_345) | in(all_11_0_14, all_280_1_346)
% 18.09/4.91 | (999) relation_composition(all_0_8_8, all_0_6_6) = all_280_2_347
% 18.09/4.91 | (1000) ~ in(all_11_0_14, all_280_1_346) | (in(all_90_0_88, all_23_3_18) & in(all_11_0_14, all_280_0_345))
% 18.09/4.91 |
% 18.09/4.91 | Instantiating (607) with all_282_0_348, all_282_1_349, all_282_2_350 yields:
% 18.09/4.91 | (1001) relation_composition(all_0_8_8, all_0_8_8) = all_282_2_350 & relation_dom(all_282_2_350) = all_282_1_349 & relation_dom(all_0_8_8) = all_282_0_348 & ( ~ in(all_102_1_107, all_32_0_22) | ~ in(all_30_1_20, all_282_0_348) | in(all_30_1_20, all_282_1_349)) & ( ~ in(all_30_1_20, all_282_1_349) | (in(all_102_1_107, all_32_0_22) & in(all_30_1_20, all_282_0_348)))
% 18.09/4.91 |
% 18.09/4.91 | Applying alpha-rule on (1001) yields:
% 18.09/4.91 | (1002) relation_dom(all_0_8_8) = all_282_0_348
% 18.09/4.91 | (1003) relation_composition(all_0_8_8, all_0_8_8) = all_282_2_350
% 18.09/4.91 | (1004) ~ in(all_30_1_20, all_282_1_349) | (in(all_102_1_107, all_32_0_22) & in(all_30_1_20, all_282_0_348))
% 18.09/4.91 | (1005) relation_dom(all_282_2_350) = all_282_1_349
% 18.09/4.91 | (1006) ~ in(all_102_1_107, all_32_0_22) | ~ in(all_30_1_20, all_282_0_348) | in(all_30_1_20, all_282_1_349)
% 18.09/4.91 |
% 18.09/4.91 | Instantiating (593) with all_284_0_351, all_284_1_352, all_284_2_353 yields:
% 18.09/4.91 | (1007) relation_composition(all_0_7_7, all_0_6_6) = all_284_2_353 & relation_dom(all_284_2_353) = all_284_1_352 & relation_dom(all_0_7_7) = all_284_0_351 & ( ~ in(all_64_1_50, all_284_0_351) | ~ in(all_30_0_19, all_23_3_18) | in(all_64_1_50, all_284_1_352)) & ( ~ in(all_64_1_50, all_284_1_352) | (in(all_64_1_50, all_284_0_351) & in(all_30_0_19, all_23_3_18)))
% 18.09/4.91 |
% 18.09/4.91 | Applying alpha-rule on (1007) yields:
% 18.09/4.91 | (1008) relation_composition(all_0_7_7, all_0_6_6) = all_284_2_353
% 18.09/4.91 | (1009) relation_dom(all_0_7_7) = all_284_0_351
% 18.09/4.91 | (1010) ~ in(all_64_1_50, all_284_1_352) | (in(all_64_1_50, all_284_0_351) & in(all_30_0_19, all_23_3_18))
% 18.09/4.91 | (1011) ~ in(all_64_1_50, all_284_0_351) | ~ in(all_30_0_19, all_23_3_18) | in(all_64_1_50, all_284_1_352)
% 18.09/4.91 | (1012) relation_dom(all_284_2_353) = all_284_1_352
% 18.09/4.91 |
% 18.09/4.91 | Instantiating (591) with all_286_0_354, all_286_1_355, all_286_2_356 yields:
% 18.09/4.91 | (1013) relation_composition(all_0_7_7, all_0_7_7) = all_286_2_356 & relation_dom(all_286_2_356) = all_286_1_355 & relation_dom(all_0_7_7) = all_286_0_354 & ( ~ in(all_70_0_58, all_38_0_31) | ~ in(all_70_1_59, all_286_0_354) | in(all_70_1_59, all_286_1_355)) & ( ~ in(all_70_1_59, all_286_1_355) | (in(all_70_0_58, all_38_0_31) & in(all_70_1_59, all_286_0_354)))
% 18.09/4.91 |
% 18.09/4.91 | Applying alpha-rule on (1013) yields:
% 18.09/4.91 | (1014) relation_dom(all_286_2_356) = all_286_1_355
% 18.09/4.91 | (1015) ~ in(all_70_0_58, all_38_0_31) | ~ in(all_70_1_59, all_286_0_354) | in(all_70_1_59, all_286_1_355)
% 18.09/4.91 | (1016) relation_composition(all_0_7_7, all_0_7_7) = all_286_2_356
% 18.09/4.91 | (1017) relation_dom(all_0_7_7) = all_286_0_354
% 18.09/4.91 | (1018) ~ in(all_70_1_59, all_286_1_355) | (in(all_70_0_58, all_38_0_31) & in(all_70_1_59, all_286_0_354))
% 18.09/4.91 |
% 18.09/4.91 | Instantiating (590) with all_288_0_357, all_288_1_358, all_288_2_359 yields:
% 18.09/4.91 | (1019) relation_composition(all_0_7_7, all_0_6_6) = all_288_2_359 & relation_dom(all_288_2_359) = all_288_1_358 & relation_dom(all_0_7_7) = all_288_0_357 & ( ~ in(all_70_0_58, all_23_3_18) | ~ in(all_70_1_59, all_288_0_357) | in(all_70_1_59, all_288_1_358)) & ( ~ in(all_70_1_59, all_288_1_358) | (in(all_70_0_58, all_23_3_18) & in(all_70_1_59, all_288_0_357)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1019) yields:
% 18.09/4.92 | (1020) relation_composition(all_0_7_7, all_0_6_6) = all_288_2_359
% 18.09/4.92 | (1021) relation_dom(all_288_2_359) = all_288_1_358
% 18.09/4.92 | (1022) ~ in(all_70_1_59, all_288_1_358) | (in(all_70_0_58, all_23_3_18) & in(all_70_1_59, all_288_0_357))
% 18.09/4.92 | (1023) relation_dom(all_0_7_7) = all_288_0_357
% 18.09/4.92 | (1024) ~ in(all_70_0_58, all_23_3_18) | ~ in(all_70_1_59, all_288_0_357) | in(all_70_1_59, all_288_1_358)
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (585) with all_290_0_360, all_290_1_361, all_290_2_362 yields:
% 18.09/4.92 | (1025) relation_composition(all_0_6_6, all_0_7_7) = all_290_2_362 & relation_dom(all_290_2_362) = all_290_1_361 & relation_dom(all_0_6_6) = all_290_0_360 & ( ~ in(all_120_0_136, all_38_0_31) | ~ in(all_11_0_14, all_290_0_360) | in(all_11_0_14, all_290_1_361)) & ( ~ in(all_11_0_14, all_290_1_361) | (in(all_120_0_136, all_38_0_31) & in(all_11_0_14, all_290_0_360)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1025) yields:
% 18.09/4.92 | (1026) ~ in(all_11_0_14, all_290_1_361) | (in(all_120_0_136, all_38_0_31) & in(all_11_0_14, all_290_0_360))
% 18.09/4.92 | (1027) relation_dom(all_0_6_6) = all_290_0_360
% 18.09/4.92 | (1028) relation_dom(all_290_2_362) = all_290_1_361
% 18.09/4.92 | (1029) relation_composition(all_0_6_6, all_0_7_7) = all_290_2_362
% 18.09/4.92 | (1030) ~ in(all_120_0_136, all_38_0_31) | ~ in(all_11_0_14, all_290_0_360) | in(all_11_0_14, all_290_1_361)
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (583) with all_292_0_363, all_292_1_364, all_292_2_365 yields:
% 18.09/4.92 | (1031) relation_dom(all_0_6_6) = all_292_2_365 & apply(all_0_7_7, all_292_1_364) = all_292_0_363 & apply(all_0_8_8, all_11_0_14) = all_292_1_364 & (all_292_0_363 = all_120_0_136 | ~ in(all_11_0_14, all_292_2_365))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1031) yields:
% 18.09/4.92 | (1032) relation_dom(all_0_6_6) = all_292_2_365
% 18.09/4.92 | (1033) apply(all_0_7_7, all_292_1_364) = all_292_0_363
% 18.09/4.92 | (1034) apply(all_0_8_8, all_11_0_14) = all_292_1_364
% 18.09/4.92 | (1035) all_292_0_363 = all_120_0_136 | ~ in(all_11_0_14, all_292_2_365)
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (584) with all_296_0_369, all_296_1_370, all_296_2_371 yields:
% 18.09/4.92 | (1036) relation_composition(all_0_6_6, all_0_6_6) = all_296_2_371 & relation_dom(all_296_2_371) = all_296_1_370 & relation_dom(all_0_6_6) = all_296_0_369 & ( ~ in(all_120_0_136, all_23_3_18) | ~ in(all_11_0_14, all_296_0_369) | in(all_11_0_14, all_296_1_370)) & ( ~ in(all_11_0_14, all_296_1_370) | (in(all_120_0_136, all_23_3_18) & in(all_11_0_14, all_296_0_369)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1036) yields:
% 18.09/4.92 | (1037) relation_dom(all_0_6_6) = all_296_0_369
% 18.09/4.92 | (1038) relation_dom(all_296_2_371) = all_296_1_370
% 18.09/4.92 | (1039) ~ in(all_11_0_14, all_296_1_370) | (in(all_120_0_136, all_23_3_18) & in(all_11_0_14, all_296_0_369))
% 18.09/4.92 | (1040) relation_composition(all_0_6_6, all_0_6_6) = all_296_2_371
% 18.09/4.92 | (1041) ~ in(all_120_0_136, all_23_3_18) | ~ in(all_11_0_14, all_296_0_369) | in(all_11_0_14, all_296_1_370)
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (582) with all_298_0_372, all_298_1_373, all_298_2_374 yields:
% 18.09/4.92 | (1042) relation_composition(all_0_6_6, all_0_8_8) = all_298_2_374 & relation_dom(all_298_2_374) = all_298_1_373 & relation_dom(all_0_6_6) = all_298_0_372 & ( ~ in(all_118_0_132, all_32_0_22) | ~ in(all_23_2_17, all_298_0_372) | in(all_23_2_17, all_298_1_373)) & ( ~ in(all_23_2_17, all_298_1_373) | (in(all_118_0_132, all_32_0_22) & in(all_23_2_17, all_298_0_372)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1042) yields:
% 18.09/4.92 | (1043) relation_dom(all_298_2_374) = all_298_1_373
% 18.09/4.92 | (1044) ~ in(all_23_2_17, all_298_1_373) | (in(all_118_0_132, all_32_0_22) & in(all_23_2_17, all_298_0_372))
% 18.09/4.92 | (1045) relation_dom(all_0_6_6) = all_298_0_372
% 18.09/4.92 | (1046) ~ in(all_118_0_132, all_32_0_22) | ~ in(all_23_2_17, all_298_0_372) | in(all_23_2_17, all_298_1_373)
% 18.09/4.92 | (1047) relation_composition(all_0_6_6, all_0_8_8) = all_298_2_374
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (581) with all_300_0_375, all_300_1_376, all_300_2_377 yields:
% 18.09/4.92 | (1048) relation_composition(all_0_6_6, all_0_7_7) = all_300_2_377 & relation_dom(all_300_2_377) = all_300_1_376 & relation_dom(all_0_6_6) = all_300_0_375 & ( ~ in(all_118_0_132, all_38_0_31) | ~ in(all_23_2_17, all_300_0_375) | in(all_23_2_17, all_300_1_376)) & ( ~ in(all_23_2_17, all_300_1_376) | (in(all_118_0_132, all_38_0_31) & in(all_23_2_17, all_300_0_375)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1048) yields:
% 18.09/4.92 | (1049) relation_composition(all_0_6_6, all_0_7_7) = all_300_2_377
% 18.09/4.92 | (1050) relation_dom(all_300_2_377) = all_300_1_376
% 18.09/4.92 | (1051) ~ in(all_23_2_17, all_300_1_376) | (in(all_118_0_132, all_38_0_31) & in(all_23_2_17, all_300_0_375))
% 18.09/4.92 | (1052) relation_dom(all_0_6_6) = all_300_0_375
% 18.09/4.92 | (1053) ~ in(all_118_0_132, all_38_0_31) | ~ in(all_23_2_17, all_300_0_375) | in(all_23_2_17, all_300_1_376)
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (592) with all_302_0_378, all_302_1_379, all_302_2_380 yields:
% 18.09/4.92 | (1054) relation_composition(all_0_7_7, all_0_8_8) = all_302_2_380 & relation_dom(all_302_2_380) = all_302_1_379 & relation_dom(all_0_7_7) = all_302_0_378 & ( ~ in(all_70_0_58, all_32_0_22) | ~ in(all_70_1_59, all_302_0_378) | in(all_70_1_59, all_302_1_379)) & ( ~ in(all_70_1_59, all_302_1_379) | (in(all_70_0_58, all_32_0_22) & in(all_70_1_59, all_302_0_378)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1054) yields:
% 18.09/4.92 | (1055) ~ in(all_70_0_58, all_32_0_22) | ~ in(all_70_1_59, all_302_0_378) | in(all_70_1_59, all_302_1_379)
% 18.09/4.92 | (1056) ~ in(all_70_1_59, all_302_1_379) | (in(all_70_0_58, all_32_0_22) & in(all_70_1_59, all_302_0_378))
% 18.09/4.92 | (1057) relation_dom(all_302_2_380) = all_302_1_379
% 18.09/4.92 | (1058) relation_dom(all_0_7_7) = all_302_0_378
% 18.09/4.92 | (1059) relation_composition(all_0_7_7, all_0_8_8) = all_302_2_380
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (566) with all_310_0_390, all_310_1_391, all_310_2_392 yields:
% 18.09/4.92 | (1060) relation_dom(all_58_2_42) = all_310_2_392 & relation_dom(all_0_6_6) = all_310_1_391 & apply(all_0_6_6, all_11_0_14) = all_310_0_390 & ( ~ in(all_310_0_390, all_38_0_31) | ~ in(all_11_0_14, all_310_1_391) | in(all_11_0_14, all_310_2_392)) & ( ~ in(all_11_0_14, all_310_2_392) | (in(all_310_0_390, all_38_0_31) & in(all_11_0_14, all_310_1_391)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1060) yields:
% 18.09/4.92 | (1061) relation_dom(all_0_6_6) = all_310_1_391
% 18.09/4.92 | (1062) apply(all_0_6_6, all_11_0_14) = all_310_0_390
% 18.09/4.92 | (1063) relation_dom(all_58_2_42) = all_310_2_392
% 18.09/4.92 | (1064) ~ in(all_11_0_14, all_310_2_392) | (in(all_310_0_390, all_38_0_31) & in(all_11_0_14, all_310_1_391))
% 18.09/4.92 | (1065) ~ in(all_310_0_390, all_38_0_31) | ~ in(all_11_0_14, all_310_1_391) | in(all_11_0_14, all_310_2_392)
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (641) with all_312_0_393, all_312_1_394, all_312_2_395 yields:
% 18.09/4.92 | (1066) relation_composition(all_0_7_7, all_34_2_27) = all_312_2_395 & relation_dom(all_312_2_395) = all_312_1_394 & relation_dom(all_0_7_7) = all_312_0_393 & ( ~ in(all_23_0_15, all_34_1_26) | ~ in(all_23_1_16, all_312_0_393) | in(all_23_1_16, all_312_1_394)) & ( ~ in(all_23_1_16, all_312_1_394) | (in(all_23_0_15, all_34_1_26) & in(all_23_1_16, all_312_0_393)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1066) yields:
% 18.09/4.92 | (1067) ~ in(all_23_1_16, all_312_1_394) | (in(all_23_0_15, all_34_1_26) & in(all_23_1_16, all_312_0_393))
% 18.09/4.92 | (1068) relation_composition(all_0_7_7, all_34_2_27) = all_312_2_395
% 18.09/4.92 | (1069) ~ in(all_23_0_15, all_34_1_26) | ~ in(all_23_1_16, all_312_0_393) | in(all_23_1_16, all_312_1_394)
% 18.09/4.92 | (1070) relation_dom(all_312_2_395) = all_312_1_394
% 18.09/4.92 | (1071) relation_dom(all_0_7_7) = all_312_0_393
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (623) with all_314_0_396, all_314_1_397, all_314_2_398 yields:
% 18.09/4.92 | (1072) relation_composition(all_0_6_6, all_38_2_33) = all_314_2_398 & relation_dom(all_314_2_398) = all_314_1_397 & relation_dom(all_0_6_6) = all_314_0_396 & ( ~ in(all_110_0_118, all_38_1_32) | ~ in(all_110_1_119, all_314_0_396) | in(all_110_1_119, all_314_1_397)) & ( ~ in(all_110_1_119, all_314_1_397) | (in(all_110_0_118, all_38_1_32) & in(all_110_1_119, all_314_0_396)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1072) yields:
% 18.09/4.92 | (1073) relation_composition(all_0_6_6, all_38_2_33) = all_314_2_398
% 18.09/4.92 | (1074) ~ in(all_110_0_118, all_38_1_32) | ~ in(all_110_1_119, all_314_0_396) | in(all_110_1_119, all_314_1_397)
% 18.09/4.92 | (1075) ~ in(all_110_1_119, all_314_1_397) | (in(all_110_0_118, all_38_1_32) & in(all_110_1_119, all_314_0_396))
% 18.09/4.92 | (1076) relation_dom(all_314_2_398) = all_314_1_397
% 18.09/4.92 | (1077) relation_dom(all_0_6_6) = all_314_0_396
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (580) with all_320_0_405, all_320_1_406, all_320_2_407 yields:
% 18.09/4.92 | (1078) relation_composition(all_0_6_6, all_0_6_6) = all_320_2_407 & relation_dom(all_320_2_407) = all_320_1_406 & relation_dom(all_0_6_6) = all_320_0_405 & ( ~ in(all_118_0_132, all_23_3_18) | ~ in(all_23_2_17, all_320_0_405) | in(all_23_2_17, all_320_1_406)) & ( ~ in(all_23_2_17, all_320_1_406) | (in(all_118_0_132, all_23_3_18) & in(all_23_2_17, all_320_0_405)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1078) yields:
% 18.09/4.92 | (1079) relation_dom(all_320_2_407) = all_320_1_406
% 18.09/4.92 | (1080) ~ in(all_118_0_132, all_23_3_18) | ~ in(all_23_2_17, all_320_0_405) | in(all_23_2_17, all_320_1_406)
% 18.09/4.92 | (1081) relation_dom(all_0_6_6) = all_320_0_405
% 18.09/4.92 | (1082) ~ in(all_23_2_17, all_320_1_406) | (in(all_118_0_132, all_23_3_18) & in(all_23_2_17, all_320_0_405))
% 18.09/4.92 | (1083) relation_composition(all_0_6_6, all_0_6_6) = all_320_2_407
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (579) with all_322_0_408, all_322_1_409, all_322_2_410 yields:
% 18.09/4.92 | (1084) relation_dom(all_0_6_6) = all_322_2_410 & apply(all_0_7_7, all_322_1_409) = all_322_0_408 & apply(all_0_8_8, all_23_2_17) = all_322_1_409 & (all_322_0_408 = all_118_0_132 | ~ in(all_23_2_17, all_322_2_410))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1084) yields:
% 18.09/4.92 | (1085) relation_dom(all_0_6_6) = all_322_2_410
% 18.09/4.92 | (1086) apply(all_0_7_7, all_322_1_409) = all_322_0_408
% 18.09/4.92 | (1087) apply(all_0_8_8, all_23_2_17) = all_322_1_409
% 18.09/4.92 | (1088) all_322_0_408 = all_118_0_132 | ~ in(all_23_2_17, all_322_2_410)
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (589) with all_324_0_411, all_324_1_412, all_324_2_413 yields:
% 18.09/4.92 | (1089) relation_composition(all_0_7_7, all_0_8_8) = all_324_2_413 & relation_dom(all_324_2_413) = all_324_1_412 & relation_dom(all_0_7_7) = all_324_0_411 & ( ~ in(all_102_1_107, all_324_0_411) | ~ in(all_30_0_19, all_32_0_22) | in(all_102_1_107, all_324_1_412)) & ( ~ in(all_102_1_107, all_324_1_412) | (in(all_102_1_107, all_324_0_411) & in(all_30_0_19, all_32_0_22)))
% 18.09/4.92 |
% 18.09/4.92 | Applying alpha-rule on (1089) yields:
% 18.09/4.92 | (1090) relation_dom(all_0_7_7) = all_324_0_411
% 18.09/4.92 | (1091) ~ in(all_102_1_107, all_324_0_411) | ~ in(all_30_0_19, all_32_0_22) | in(all_102_1_107, all_324_1_412)
% 18.09/4.92 | (1092) relation_composition(all_0_7_7, all_0_8_8) = all_324_2_413
% 18.09/4.92 | (1093) ~ in(all_102_1_107, all_324_1_412) | (in(all_102_1_107, all_324_0_411) & in(all_30_0_19, all_32_0_22))
% 18.09/4.92 | (1094) relation_dom(all_324_2_413) = all_324_1_412
% 18.09/4.92 |
% 18.09/4.92 | Instantiating (587) with all_326_0_414, all_326_1_415, all_326_2_416 yields:
% 18.09/4.92 | (1095) relation_composition(all_0_7_7, all_0_6_6) = all_326_2_416 & relation_dom(all_326_2_416) = all_326_1_415 & relation_dom(all_0_7_7) = all_326_0_414 & ( ~ in(all_102_1_107, all_326_0_414) | ~ in(all_30_0_19, all_23_3_18) | in(all_102_1_107, all_326_1_415)) & ( ~ in(all_102_1_107, all_326_1_415) | (in(all_102_1_107, all_326_0_414) & in(all_30_0_19, all_23_3_18)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1095) yields:
% 18.09/4.93 | (1096) ~ in(all_102_1_107, all_326_1_415) | (in(all_102_1_107, all_326_0_414) & in(all_30_0_19, all_23_3_18))
% 18.09/4.93 | (1097) ~ in(all_102_1_107, all_326_0_414) | ~ in(all_30_0_19, all_23_3_18) | in(all_102_1_107, all_326_1_415)
% 18.09/4.93 | (1098) relation_dom(all_326_2_416) = all_326_1_415
% 18.09/4.93 | (1099) relation_composition(all_0_7_7, all_0_6_6) = all_326_2_416
% 18.09/4.93 | (1100) relation_dom(all_0_7_7) = all_326_0_414
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (588) with all_328_0_417, all_328_1_418, all_328_2_419 yields:
% 18.09/4.93 | (1101) relation_composition(all_0_7_7, all_0_7_7) = all_328_2_419 & relation_dom(all_328_2_419) = all_328_1_418 & relation_dom(all_0_7_7) = all_328_0_417 & ( ~ in(all_102_1_107, all_328_0_417) | ~ in(all_30_0_19, all_38_0_31) | in(all_102_1_107, all_328_1_418)) & ( ~ in(all_102_1_107, all_328_1_418) | (in(all_102_1_107, all_328_0_417) & in(all_30_0_19, all_38_0_31)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1101) yields:
% 18.09/4.93 | (1102) ~ in(all_102_1_107, all_328_1_418) | (in(all_102_1_107, all_328_0_417) & in(all_30_0_19, all_38_0_31))
% 18.09/4.93 | (1103) relation_dom(all_328_2_419) = all_328_1_418
% 18.09/4.93 | (1104) ~ in(all_102_1_107, all_328_0_417) | ~ in(all_30_0_19, all_38_0_31) | in(all_102_1_107, all_328_1_418)
% 18.09/4.93 | (1105) relation_dom(all_0_7_7) = all_328_0_417
% 18.09/4.93 | (1106) relation_composition(all_0_7_7, all_0_7_7) = all_328_2_419
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (586) with all_330_0_420, all_330_1_421, all_330_2_422 yields:
% 18.09/4.93 | (1107) relation_composition(all_0_6_6, all_0_8_8) = all_330_2_422 & relation_dom(all_330_2_422) = all_330_1_421 & relation_dom(all_0_6_6) = all_330_0_420 & ( ~ in(all_120_0_136, all_32_0_22) | ~ in(all_11_0_14, all_330_0_420) | in(all_11_0_14, all_330_1_421)) & ( ~ in(all_11_0_14, all_330_1_421) | (in(all_120_0_136, all_32_0_22) & in(all_11_0_14, all_330_0_420)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1107) yields:
% 18.09/4.93 | (1108) relation_dom(all_0_6_6) = all_330_0_420
% 18.09/4.93 | (1109) relation_dom(all_330_2_422) = all_330_1_421
% 18.09/4.93 | (1110) ~ in(all_11_0_14, all_330_1_421) | (in(all_120_0_136, all_32_0_22) & in(all_11_0_14, all_330_0_420))
% 18.09/4.93 | (1111) relation_composition(all_0_6_6, all_0_8_8) = all_330_2_422
% 18.09/4.93 | (1112) ~ in(all_120_0_136, all_32_0_22) | ~ in(all_11_0_14, all_330_0_420) | in(all_11_0_14, all_330_1_421)
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (622) with all_332_0_423, all_332_1_424, all_332_2_425 yields:
% 18.09/4.93 | (1113) relation_composition(all_0_8_8, all_38_2_33) = all_332_2_425 & relation_dom(all_332_2_425) = all_332_1_424 & relation_dom(all_0_8_8) = all_332_0_423 & ( ~ in(all_23_1_16, all_38_1_32) | ~ in(all_5_0_11, all_332_0_423) | in(all_5_0_11, all_332_1_424)) & ( ~ in(all_5_0_11, all_332_1_424) | (in(all_23_1_16, all_38_1_32) & in(all_5_0_11, all_332_0_423)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1113) yields:
% 18.09/4.93 | (1114) relation_dom(all_332_2_425) = all_332_1_424
% 18.09/4.93 | (1115) ~ in(all_5_0_11, all_332_1_424) | (in(all_23_1_16, all_38_1_32) & in(all_5_0_11, all_332_0_423))
% 18.09/4.93 | (1116) relation_dom(all_0_8_8) = all_332_0_423
% 18.09/4.93 | (1117) relation_composition(all_0_8_8, all_38_2_33) = all_332_2_425
% 18.09/4.93 | (1118) ~ in(all_23_1_16, all_38_1_32) | ~ in(all_5_0_11, all_332_0_423) | in(all_5_0_11, all_332_1_424)
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (640) with all_334_0_426, all_334_1_427, all_334_2_428 yields:
% 18.09/4.93 | (1119) relation_composition(all_0_6_6, all_34_2_27) = all_334_2_428 & relation_dom(all_334_2_428) = all_334_1_427 & relation_dom(all_0_6_6) = all_334_0_426 & ( ~ in(all_23_2_17, all_34_1_26) | ~ in(all_5_0_11, all_334_0_426) | in(all_5_0_11, all_334_1_427)) & ( ~ in(all_5_0_11, all_334_1_427) | (in(all_23_2_17, all_34_1_26) & in(all_5_0_11, all_334_0_426)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1119) yields:
% 18.09/4.93 | (1120) relation_composition(all_0_6_6, all_34_2_27) = all_334_2_428
% 18.09/4.93 | (1121) ~ in(all_23_2_17, all_34_1_26) | ~ in(all_5_0_11, all_334_0_426) | in(all_5_0_11, all_334_1_427)
% 18.09/4.93 | (1122) relation_dom(all_334_2_428) = all_334_1_427
% 18.09/4.93 | (1123) ~ in(all_5_0_11, all_334_1_427) | (in(all_23_2_17, all_34_1_26) & in(all_5_0_11, all_334_0_426))
% 18.09/4.93 | (1124) relation_dom(all_0_6_6) = all_334_0_426
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (603) with all_338_0_432, all_338_1_433, all_338_2_434 yields:
% 18.09/4.93 | (1125) relation_composition(all_0_7_7, all_0_7_7) = all_338_2_434 & relation_dom(all_338_2_434) = all_338_1_433 & relation_dom(all_0_7_7) = all_338_0_432 & ( ~ in(all_110_1_119, all_38_0_31) | ~ in(all_5_0_11, all_338_0_432) | in(all_5_0_11, all_338_1_433)) & ( ~ in(all_5_0_11, all_338_1_433) | (in(all_110_1_119, all_38_0_31) & in(all_5_0_11, all_338_0_432)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1125) yields:
% 18.09/4.93 | (1126) ~ in(all_110_1_119, all_38_0_31) | ~ in(all_5_0_11, all_338_0_432) | in(all_5_0_11, all_338_1_433)
% 18.09/4.93 | (1127) relation_dom(all_0_7_7) = all_338_0_432
% 18.09/4.93 | (1128) ~ in(all_5_0_11, all_338_1_433) | (in(all_110_1_119, all_38_0_31) & in(all_5_0_11, all_338_0_432))
% 18.09/4.93 | (1129) relation_dom(all_338_2_434) = all_338_1_433
% 18.09/4.93 | (1130) relation_composition(all_0_7_7, all_0_7_7) = all_338_2_434
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (604) with all_340_0_435, all_340_1_436, all_340_2_437 yields:
% 18.09/4.93 | (1131) relation_composition(all_0_7_7, all_0_8_8) = all_340_2_437 & relation_dom(all_340_2_437) = all_340_1_436 & relation_dom(all_0_7_7) = all_340_0_435 & ( ~ in(all_110_1_119, all_32_0_22) | ~ in(all_5_0_11, all_340_0_435) | in(all_5_0_11, all_340_1_436)) & ( ~ in(all_5_0_11, all_340_1_436) | (in(all_110_1_119, all_32_0_22) & in(all_5_0_11, all_340_0_435)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1131) yields:
% 18.09/4.93 | (1132) relation_dom(all_0_7_7) = all_340_0_435
% 18.09/4.93 | (1133) ~ in(all_110_1_119, all_32_0_22) | ~ in(all_5_0_11, all_340_0_435) | in(all_5_0_11, all_340_1_436)
% 18.09/4.93 | (1134) relation_dom(all_340_2_437) = all_340_1_436
% 18.09/4.93 | (1135) relation_composition(all_0_7_7, all_0_8_8) = all_340_2_437
% 18.09/4.93 | (1136) ~ in(all_5_0_11, all_340_1_436) | (in(all_110_1_119, all_32_0_22) & in(all_5_0_11, all_340_0_435))
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (568) with all_342_0_438, all_342_1_439, all_342_2_440 yields:
% 18.09/4.93 | (1137) relation_dom(all_80_2_75) = all_342_2_440 & relation_dom(all_0_7_7) = all_342_1_439 & apply(all_0_7_7, all_11_0_14) = all_342_0_438 & ( ~ in(all_342_0_438, all_38_0_31) | ~ in(all_11_0_14, all_342_1_439) | in(all_11_0_14, all_342_2_440)) & ( ~ in(all_11_0_14, all_342_2_440) | (in(all_342_0_438, all_38_0_31) & in(all_11_0_14, all_342_1_439)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1137) yields:
% 18.09/4.93 | (1138) relation_dom(all_80_2_75) = all_342_2_440
% 18.09/4.93 | (1139) relation_dom(all_0_7_7) = all_342_1_439
% 18.09/4.93 | (1140) ~ in(all_342_0_438, all_38_0_31) | ~ in(all_11_0_14, all_342_1_439) | in(all_11_0_14, all_342_2_440)
% 18.09/4.93 | (1141) apply(all_0_7_7, all_11_0_14) = all_342_0_438
% 18.09/4.93 | (1142) ~ in(all_11_0_14, all_342_2_440) | (in(all_342_0_438, all_38_0_31) & in(all_11_0_14, all_342_1_439))
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (569) with all_346_0_445, all_346_1_446, all_346_2_447 yields:
% 18.09/4.93 | (1143) relation_dom(all_84_2_81) = all_346_2_447 & relation_dom(all_0_7_7) = all_346_1_446 & apply(all_0_7_7, all_11_0_14) = all_346_0_445 & ( ~ in(all_346_0_445, all_32_0_22) | ~ in(all_11_0_14, all_346_1_446) | in(all_11_0_14, all_346_2_447)) & ( ~ in(all_11_0_14, all_346_2_447) | (in(all_346_0_445, all_32_0_22) & in(all_11_0_14, all_346_1_446)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1143) yields:
% 18.09/4.93 | (1144) apply(all_0_7_7, all_11_0_14) = all_346_0_445
% 18.09/4.93 | (1145) relation_dom(all_0_7_7) = all_346_1_446
% 18.09/4.93 | (1146) ~ in(all_11_0_14, all_346_2_447) | (in(all_346_0_445, all_32_0_22) & in(all_11_0_14, all_346_1_446))
% 18.09/4.93 | (1147) relation_dom(all_84_2_81) = all_346_2_447
% 18.09/4.93 | (1148) ~ in(all_346_0_445, all_32_0_22) | ~ in(all_11_0_14, all_346_1_446) | in(all_11_0_14, all_346_2_447)
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (567) with all_356_0_461, all_356_1_462, all_356_2_463 yields:
% 18.09/4.93 | (1149) relation_dom(all_62_2_48) = all_356_2_463 & relation_dom(all_0_6_6) = all_356_1_462 & apply(all_0_6_6, all_11_0_14) = all_356_0_461 & ( ~ in(all_356_0_461, all_32_0_22) | ~ in(all_11_0_14, all_356_1_462) | in(all_11_0_14, all_356_2_463)) & ( ~ in(all_11_0_14, all_356_2_463) | (in(all_356_0_461, all_32_0_22) & in(all_11_0_14, all_356_1_462)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1149) yields:
% 18.09/4.93 | (1150) ~ in(all_11_0_14, all_356_2_463) | (in(all_356_0_461, all_32_0_22) & in(all_11_0_14, all_356_1_462))
% 18.09/4.93 | (1151) ~ in(all_356_0_461, all_32_0_22) | ~ in(all_11_0_14, all_356_1_462) | in(all_11_0_14, all_356_2_463)
% 18.09/4.93 | (1152) relation_dom(all_62_2_48) = all_356_2_463
% 18.09/4.93 | (1153) relation_dom(all_0_6_6) = all_356_1_462
% 18.09/4.93 | (1154) apply(all_0_6_6, all_11_0_14) = all_356_0_461
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (667) with all_358_0_464, all_358_1_465, all_358_2_466 yields:
% 18.09/4.93 | (1155) relation_composition(all_0_7_7, all_32_2_24) = all_358_2_466 & relation_dom(all_358_2_466) = all_358_1_465 & relation_dom(all_0_7_7) = all_358_0_464 & ( ~ in(all_102_1_107, all_358_0_464) | ~ in(all_30_0_19, all_32_1_23) | in(all_102_1_107, all_358_1_465)) & ( ~ in(all_102_1_107, all_358_1_465) | (in(all_102_1_107, all_358_0_464) & in(all_30_0_19, all_32_1_23)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1155) yields:
% 18.09/4.93 | (1156) relation_dom(all_0_7_7) = all_358_0_464
% 18.09/4.93 | (1157) ~ in(all_102_1_107, all_358_1_465) | (in(all_102_1_107, all_358_0_464) & in(all_30_0_19, all_32_1_23))
% 18.09/4.93 | (1158) relation_composition(all_0_7_7, all_32_2_24) = all_358_2_466
% 18.09/4.93 | (1159) relation_dom(all_358_2_466) = all_358_1_465
% 18.09/4.93 | (1160) ~ in(all_102_1_107, all_358_0_464) | ~ in(all_30_0_19, all_32_1_23) | in(all_102_1_107, all_358_1_465)
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (666) with all_360_0_467, all_360_1_468, all_360_2_469 yields:
% 18.09/4.93 | (1161) relation_composition(all_0_6_6, all_32_2_24) = all_360_2_469 & relation_dom(all_360_2_469) = all_360_1_468 & relation_dom(all_0_6_6) = all_360_0_467 & ( ~ in(all_120_0_136, all_32_1_23) | ~ in(all_11_0_14, all_360_0_467) | in(all_11_0_14, all_360_1_468)) & ( ~ in(all_11_0_14, all_360_1_468) | (in(all_120_0_136, all_32_1_23) & in(all_11_0_14, all_360_0_467)))
% 18.09/4.93 |
% 18.09/4.93 | Applying alpha-rule on (1161) yields:
% 18.09/4.93 | (1162) relation_dom(all_0_6_6) = all_360_0_467
% 18.09/4.93 | (1163) relation_composition(all_0_6_6, all_32_2_24) = all_360_2_469
% 18.09/4.93 | (1164) relation_dom(all_360_2_469) = all_360_1_468
% 18.09/4.93 | (1165) ~ in(all_120_0_136, all_32_1_23) | ~ in(all_11_0_14, all_360_0_467) | in(all_11_0_14, all_360_1_468)
% 18.09/4.93 | (1166) ~ in(all_11_0_14, all_360_1_468) | (in(all_120_0_136, all_32_1_23) & in(all_11_0_14, all_360_0_467))
% 18.09/4.93 |
% 18.09/4.93 | Instantiating (663) with all_362_0_470, all_362_1_471, all_362_2_472 yields:
% 18.09/4.93 | (1167) relation_composition(all_0_6_6, all_32_2_24) = all_362_2_472 & relation_dom(all_362_2_472) = all_362_1_471 & relation_dom(all_0_6_6) = all_362_0_470 & ( ~ in(all_110_0_118, all_32_1_23) | ~ in(all_110_1_119, all_362_0_470) | in(all_110_1_119, all_362_1_471)) & ( ~ in(all_110_1_119, all_362_1_471) | (in(all_110_0_118, all_32_1_23) & in(all_110_1_119, all_362_0_470)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1167) yields:
% 18.09/4.94 | (1168) relation_dom(all_0_6_6) = all_362_0_470
% 18.09/4.94 | (1169) ~ in(all_110_1_119, all_362_1_471) | (in(all_110_0_118, all_32_1_23) & in(all_110_1_119, all_362_0_470))
% 18.09/4.94 | (1170) relation_dom(all_362_2_472) = all_362_1_471
% 18.09/4.94 | (1171) relation_composition(all_0_6_6, all_32_2_24) = all_362_2_472
% 18.09/4.94 | (1172) ~ in(all_110_0_118, all_32_1_23) | ~ in(all_110_1_119, all_362_0_470) | in(all_110_1_119, all_362_1_471)
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (665) with all_368_0_479, all_368_1_480, all_368_2_481 yields:
% 18.09/4.94 | (1173) relation_composition(all_0_6_6, all_32_2_24) = all_368_2_481 & relation_dom(all_368_2_481) = all_368_1_480 & relation_dom(all_0_6_6) = all_368_0_479 & ( ~ in(all_118_0_132, all_32_1_23) | ~ in(all_23_2_17, all_368_0_479) | in(all_23_2_17, all_368_1_480)) & ( ~ in(all_23_2_17, all_368_1_480) | (in(all_118_0_132, all_32_1_23) & in(all_23_2_17, all_368_0_479)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1173) yields:
% 18.09/4.94 | (1174) relation_composition(all_0_6_6, all_32_2_24) = all_368_2_481
% 18.09/4.94 | (1175) ~ in(all_118_0_132, all_32_1_23) | ~ in(all_23_2_17, all_368_0_479) | in(all_23_2_17, all_368_1_480)
% 18.09/4.94 | (1176) relation_dom(all_368_2_481) = all_368_1_480
% 18.09/4.94 | (1177) relation_dom(all_0_6_6) = all_368_0_479
% 18.09/4.94 | (1178) ~ in(all_23_2_17, all_368_1_480) | (in(all_118_0_132, all_32_1_23) & in(all_23_2_17, all_368_0_479))
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (664) with all_370_0_482, all_370_1_483, all_370_2_484 yields:
% 18.09/4.94 | (1179) relation_composition(all_0_6_6, all_32_2_24) = all_370_2_484 & relation_dom(all_370_2_484) = all_370_1_483 & relation_dom(all_0_6_6) = all_370_0_482 & ( ~ in(all_116_0_128, all_32_1_23) | ~ in(all_23_1_16, all_370_0_482) | in(all_23_1_16, all_370_1_483)) & ( ~ in(all_23_1_16, all_370_1_483) | (in(all_116_0_128, all_32_1_23) & in(all_23_1_16, all_370_0_482)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1179) yields:
% 18.09/4.94 | (1180) ~ in(all_23_1_16, all_370_1_483) | (in(all_116_0_128, all_32_1_23) & in(all_23_1_16, all_370_0_482))
% 18.09/4.94 | (1181) relation_dom(all_0_6_6) = all_370_0_482
% 18.09/4.94 | (1182) ~ in(all_116_0_128, all_32_1_23) | ~ in(all_23_1_16, all_370_0_482) | in(all_23_1_16, all_370_1_483)
% 18.09/4.94 | (1183) relation_composition(all_0_6_6, all_32_2_24) = all_370_2_484
% 18.09/4.94 | (1184) relation_dom(all_370_2_484) = all_370_1_483
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (661) with all_376_0_491, all_376_1_492, all_376_2_493 yields:
% 18.09/4.94 | (1185) relation_composition(all_0_7_7, all_32_2_24) = all_376_2_493 & relation_dom(all_376_2_493) = all_376_1_492 & relation_dom(all_0_7_7) = all_376_0_491 & ( ~ in(all_23_0_15, all_32_1_23) | ~ in(all_23_1_16, all_376_0_491) | in(all_23_1_16, all_376_1_492)) & ( ~ in(all_23_1_16, all_376_1_492) | (in(all_23_0_15, all_32_1_23) & in(all_23_1_16, all_376_0_491)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1185) yields:
% 18.09/4.94 | (1186) ~ in(all_23_1_16, all_376_1_492) | (in(all_23_0_15, all_32_1_23) & in(all_23_1_16, all_376_0_491))
% 18.09/4.94 | (1187) relation_dom(all_376_2_493) = all_376_1_492
% 18.09/4.94 | (1188) ~ in(all_23_0_15, all_32_1_23) | ~ in(all_23_1_16, all_376_0_491) | in(all_23_1_16, all_376_1_492)
% 18.09/4.94 | (1189) relation_dom(all_0_7_7) = all_376_0_491
% 18.09/4.94 | (1190) relation_composition(all_0_7_7, all_32_2_24) = all_376_2_493
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (659) with all_378_0_494, all_378_1_495, all_378_2_496 yields:
% 18.09/4.94 | (1191) relation_composition(all_0_6_6, all_32_2_24) = all_378_2_496 & relation_dom(all_378_2_496) = all_378_1_495 & relation_dom(all_0_6_6) = all_378_0_494 & ( ~ in(all_34_0_25, all_32_1_23) | ~ in(all_7_0_12, all_378_0_494) | in(all_7_0_12, all_378_1_495)) & ( ~ in(all_7_0_12, all_378_1_495) | (in(all_34_0_25, all_32_1_23) & in(all_7_0_12, all_378_0_494)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1191) yields:
% 18.09/4.94 | (1192) ~ in(all_34_0_25, all_32_1_23) | ~ in(all_7_0_12, all_378_0_494) | in(all_7_0_12, all_378_1_495)
% 18.09/4.94 | (1193) relation_composition(all_0_6_6, all_32_2_24) = all_378_2_496
% 18.09/4.94 | (1194) ~ in(all_7_0_12, all_378_1_495) | (in(all_34_0_25, all_32_1_23) & in(all_7_0_12, all_378_0_494))
% 18.09/4.94 | (1195) relation_dom(all_378_2_496) = all_378_1_495
% 18.09/4.94 | (1196) relation_dom(all_0_6_6) = all_378_0_494
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (602) with all_380_0_497, all_380_1_498, all_380_2_499 yields:
% 18.09/4.94 | (1197) relation_composition(all_0_7_7, all_0_6_6) = all_380_2_499 & relation_dom(all_380_2_499) = all_380_1_498 & relation_dom(all_0_7_7) = all_380_0_497 & ( ~ in(all_110_1_119, all_23_3_18) | ~ in(all_5_0_11, all_380_0_497) | in(all_5_0_11, all_380_1_498)) & ( ~ in(all_5_0_11, all_380_1_498) | (in(all_110_1_119, all_23_3_18) & in(all_5_0_11, all_380_0_497)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1197) yields:
% 18.09/4.94 | (1198) relation_dom(all_380_2_499) = all_380_1_498
% 18.09/4.94 | (1199) relation_dom(all_0_7_7) = all_380_0_497
% 18.09/4.94 | (1200) ~ in(all_5_0_11, all_380_1_498) | (in(all_110_1_119, all_23_3_18) & in(all_5_0_11, all_380_0_497))
% 18.09/4.94 | (1201) relation_composition(all_0_7_7, all_0_6_6) = all_380_2_499
% 18.09/4.94 | (1202) ~ in(all_110_1_119, all_23_3_18) | ~ in(all_5_0_11, all_380_0_497) | in(all_5_0_11, all_380_1_498)
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (571) with all_382_0_500, all_382_1_501, all_382_2_502 yields:
% 18.09/4.94 | (1203) relation_dom(all_0_6_6) = all_382_2_502 & apply(all_0_7_7, all_382_1_501) = all_382_0_500 & apply(all_0_8_8, all_110_1_119) = all_382_1_501 & (all_382_0_500 = all_110_0_118 | ~ in(all_110_1_119, all_382_2_502))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1203) yields:
% 18.09/4.94 | (1204) relation_dom(all_0_6_6) = all_382_2_502
% 18.09/4.94 | (1205) apply(all_0_7_7, all_382_1_501) = all_382_0_500
% 18.09/4.94 | (1206) apply(all_0_8_8, all_110_1_119) = all_382_1_501
% 18.09/4.94 | (1207) all_382_0_500 = all_110_0_118 | ~ in(all_110_1_119, all_382_2_502)
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (658) with all_392_0_516, all_392_1_517, all_392_2_518 yields:
% 18.09/4.94 | (1208) relation_composition(all_0_6_6, all_32_2_24) = all_392_2_518 & relation_dom(all_392_2_518) = all_392_1_517 & relation_dom(all_0_6_6) = all_392_0_516 & ( ~ in(all_30_0_19, all_32_1_23) | ~ in(all_30_2_21, all_392_0_516) | in(all_30_2_21, all_392_1_517)) & ( ~ in(all_30_2_21, all_392_1_517) | (in(all_30_0_19, all_32_1_23) & in(all_30_2_21, all_392_0_516)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1208) yields:
% 18.09/4.94 | (1209) relation_dom(all_392_2_518) = all_392_1_517
% 18.09/4.94 | (1210) relation_dom(all_0_6_6) = all_392_0_516
% 18.09/4.94 | (1211) ~ in(all_30_0_19, all_32_1_23) | ~ in(all_30_2_21, all_392_0_516) | in(all_30_2_21, all_392_1_517)
% 18.09/4.94 | (1212) relation_composition(all_0_6_6, all_32_2_24) = all_392_2_518
% 18.09/4.94 | (1213) ~ in(all_30_2_21, all_392_1_517) | (in(all_30_0_19, all_32_1_23) & in(all_30_2_21, all_392_0_516))
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (660) with all_394_0_519, all_394_1_520, all_394_2_521 yields:
% 18.09/4.94 | (1214) relation_composition(all_0_6_6, all_32_2_24) = all_394_2_521 & relation_dom(all_394_2_521) = all_394_1_520 & relation_dom(all_0_6_6) = all_394_0_519 & ( ~ in(all_23_2_17, all_32_1_23) | ~ in(all_5_0_11, all_394_0_519) | in(all_5_0_11, all_394_1_520)) & ( ~ in(all_5_0_11, all_394_1_520) | (in(all_23_2_17, all_32_1_23) & in(all_5_0_11, all_394_0_519)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1214) yields:
% 18.09/4.94 | (1215) ~ in(all_23_2_17, all_32_1_23) | ~ in(all_5_0_11, all_394_0_519) | in(all_5_0_11, all_394_1_520)
% 18.09/4.94 | (1216) relation_composition(all_0_6_6, all_32_2_24) = all_394_2_521
% 18.09/4.94 | (1217) relation_dom(all_394_2_521) = all_394_1_520
% 18.09/4.94 | (1218) ~ in(all_5_0_11, all_394_1_520) | (in(all_23_2_17, all_32_1_23) & in(all_5_0_11, all_394_0_519))
% 18.09/4.94 | (1219) relation_dom(all_0_6_6) = all_394_0_519
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (657) with all_396_0_522, all_396_1_523, all_396_2_524 yields:
% 18.09/4.94 | (1220) relation_composition(all_0_6_6, all_32_2_24) = all_396_2_524 & relation_dom(all_396_2_524) = all_396_1_523 & relation_dom(all_0_6_6) = all_396_0_522 & ( ~ in(all_30_0_19, all_32_1_23) | ~ in(all_30_1_20, all_396_0_522) | in(all_30_1_20, all_396_1_523)) & ( ~ in(all_30_1_20, all_396_1_523) | (in(all_30_0_19, all_32_1_23) & in(all_30_1_20, all_396_0_522)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1220) yields:
% 18.09/4.94 | (1221) ~ in(all_30_1_20, all_396_1_523) | (in(all_30_0_19, all_32_1_23) & in(all_30_1_20, all_396_0_522))
% 18.09/4.94 | (1222) relation_composition(all_0_6_6, all_32_2_24) = all_396_2_524
% 18.09/4.94 | (1223) relation_dom(all_0_6_6) = all_396_0_522
% 18.09/4.94 | (1224) ~ in(all_30_0_19, all_32_1_23) | ~ in(all_30_1_20, all_396_0_522) | in(all_30_1_20, all_396_1_523)
% 18.09/4.94 | (1225) relation_dom(all_396_2_524) = all_396_1_523
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (577) with all_412_0_546, all_412_1_547, all_412_2_548 yields:
% 18.09/4.94 | (1226) relation_composition(all_0_6_6, all_0_7_7) = all_412_2_548 & relation_dom(all_412_2_548) = all_412_1_547 & relation_dom(all_0_6_6) = all_412_0_546 & ( ~ in(all_116_0_128, all_38_0_31) | ~ in(all_23_1_16, all_412_0_546) | in(all_23_1_16, all_412_1_547)) & ( ~ in(all_23_1_16, all_412_1_547) | (in(all_116_0_128, all_38_0_31) & in(all_23_1_16, all_412_0_546)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1226) yields:
% 18.09/4.94 | (1227) relation_dom(all_412_2_548) = all_412_1_547
% 18.09/4.94 | (1228) ~ in(all_23_1_16, all_412_1_547) | (in(all_116_0_128, all_38_0_31) & in(all_23_1_16, all_412_0_546))
% 18.09/4.94 | (1229) relation_composition(all_0_6_6, all_0_7_7) = all_412_2_548
% 18.09/4.94 | (1230) relation_dom(all_0_6_6) = all_412_0_546
% 18.09/4.94 | (1231) ~ in(all_116_0_128, all_38_0_31) | ~ in(all_23_1_16, all_412_0_546) | in(all_23_1_16, all_412_1_547)
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (576) with all_414_0_549, all_414_1_550, all_414_2_551 yields:
% 18.09/4.94 | (1232) relation_composition(all_0_6_6, all_0_6_6) = all_414_2_551 & relation_dom(all_414_2_551) = all_414_1_550 & relation_dom(all_0_6_6) = all_414_0_549 & ( ~ in(all_116_0_128, all_23_3_18) | ~ in(all_23_1_16, all_414_0_549) | in(all_23_1_16, all_414_1_550)) & ( ~ in(all_23_1_16, all_414_1_550) | (in(all_116_0_128, all_23_3_18) & in(all_23_1_16, all_414_0_549)))
% 18.09/4.94 |
% 18.09/4.94 | Applying alpha-rule on (1232) yields:
% 18.09/4.94 | (1233) relation_dom(all_0_6_6) = all_414_0_549
% 18.09/4.94 | (1234) ~ in(all_116_0_128, all_23_3_18) | ~ in(all_23_1_16, all_414_0_549) | in(all_23_1_16, all_414_1_550)
% 18.09/4.94 | (1235) relation_dom(all_414_2_551) = all_414_1_550
% 18.09/4.94 | (1236) ~ in(all_23_1_16, all_414_1_550) | (in(all_116_0_128, all_23_3_18) & in(all_23_1_16, all_414_0_549))
% 18.09/4.94 | (1237) relation_composition(all_0_6_6, all_0_6_6) = all_414_2_551
% 18.09/4.94 |
% 18.09/4.94 | Instantiating (662) with all_416_0_552, all_416_1_553, all_416_2_554 yields:
% 18.09/4.94 | (1238) relation_composition(all_0_8_8, all_32_2_24) = all_416_2_554 & relation_dom(all_416_2_554) = all_416_1_553 & relation_dom(all_0_8_8) = all_416_0_552 & ( ~ in(all_23_1_16, all_32_1_23) | ~ in(all_5_0_11, all_416_0_552) | in(all_5_0_11, all_416_1_553)) & ( ~ in(all_5_0_11, all_416_1_553) | (in(all_23_1_16, all_32_1_23) & in(all_5_0_11, all_416_0_552)))
% 18.09/4.94 |
% 18.09/4.95 | Applying alpha-rule on (1238) yields:
% 18.09/4.95 | (1239) relation_composition(all_0_8_8, all_32_2_24) = all_416_2_554
% 18.09/4.95 | (1240) ~ in(all_23_1_16, all_32_1_23) | ~ in(all_5_0_11, all_416_0_552) | in(all_5_0_11, all_416_1_553)
% 18.09/4.95 | (1241) ~ in(all_5_0_11, all_416_1_553) | (in(all_23_1_16, all_32_1_23) & in(all_5_0_11, all_416_0_552))
% 18.09/4.95 | (1242) relation_dom(all_416_2_554) = all_416_1_553
% 18.09/4.95 | (1243) relation_dom(all_0_8_8) = all_416_0_552
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (578) with all_426_0_567, all_426_1_568, all_426_2_569 yields:
% 18.09/4.95 | (1244) relation_composition(all_0_6_6, all_0_8_8) = all_426_2_569 & relation_dom(all_426_2_569) = all_426_1_568 & relation_dom(all_0_6_6) = all_426_0_567 & ( ~ in(all_116_0_128, all_32_0_22) | ~ in(all_23_1_16, all_426_0_567) | in(all_23_1_16, all_426_1_568)) & ( ~ in(all_23_1_16, all_426_1_568) | (in(all_116_0_128, all_32_0_22) & in(all_23_1_16, all_426_0_567)))
% 18.09/4.95 |
% 18.09/4.95 | Applying alpha-rule on (1244) yields:
% 18.09/4.95 | (1245) ~ in(all_23_1_16, all_426_1_568) | (in(all_116_0_128, all_32_0_22) & in(all_23_1_16, all_426_0_567))
% 18.09/4.95 | (1246) ~ in(all_116_0_128, all_32_0_22) | ~ in(all_23_1_16, all_426_0_567) | in(all_23_1_16, all_426_1_568)
% 18.09/4.95 | (1247) relation_composition(all_0_6_6, all_0_8_8) = all_426_2_569
% 18.09/4.95 | (1248) relation_dom(all_426_2_569) = all_426_1_568
% 18.09/4.95 | (1249) relation_dom(all_0_6_6) = all_426_0_567
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (656) with all_436_0_582, all_436_1_583, all_436_2_584 yields:
% 18.09/4.95 | (1250) relation_composition(all_0_8_8, all_34_2_27) = all_436_2_584 & relation_dom(all_436_2_584) = all_436_1_583 & relation_dom(all_0_8_8) = all_436_0_582 & ( ~ in(all_70_1_59, all_34_1_26) | ~ in(all_7_0_12, all_436_0_582) | in(all_7_0_12, all_436_1_583)) & ( ~ in(all_7_0_12, all_436_1_583) | (in(all_70_1_59, all_34_1_26) & in(all_7_0_12, all_436_0_582)))
% 18.09/4.95 |
% 18.09/4.95 | Applying alpha-rule on (1250) yields:
% 18.09/4.95 | (1251) ~ in(all_7_0_12, all_436_1_583) | (in(all_70_1_59, all_34_1_26) & in(all_7_0_12, all_436_0_582))
% 18.09/4.95 | (1252) relation_dom(all_436_2_584) = all_436_1_583
% 18.09/4.95 | (1253) ~ in(all_70_1_59, all_34_1_26) | ~ in(all_7_0_12, all_436_0_582) | in(all_7_0_12, all_436_1_583)
% 18.09/4.95 | (1254) relation_dom(all_0_8_8) = all_436_0_582
% 18.09/4.95 | (1255) relation_composition(all_0_8_8, all_34_2_27) = all_436_2_584
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (655) with all_438_0_585, all_438_1_586, all_438_2_587 yields:
% 18.09/4.95 | (1256) relation_composition(all_0_8_8, all_34_2_27) = all_438_2_587 & relation_dom(all_438_2_587) = all_438_1_586 & relation_dom(all_0_8_8) = all_438_0_585 & ( ~ in(all_90_0_88, all_34_1_26) | ~ in(all_11_0_14, all_438_0_585) | in(all_11_0_14, all_438_1_586)) & ( ~ in(all_11_0_14, all_438_1_586) | (in(all_90_0_88, all_34_1_26) & in(all_11_0_14, all_438_0_585)))
% 18.09/4.95 |
% 18.09/4.95 | Applying alpha-rule on (1256) yields:
% 18.09/4.95 | (1257) relation_composition(all_0_8_8, all_34_2_27) = all_438_2_587
% 18.09/4.95 | (1258) ~ in(all_90_0_88, all_34_1_26) | ~ in(all_11_0_14, all_438_0_585) | in(all_11_0_14, all_438_1_586)
% 18.09/4.95 | (1259) ~ in(all_11_0_14, all_438_1_586) | (in(all_90_0_88, all_34_1_26) & in(all_11_0_14, all_438_0_585))
% 18.09/4.95 | (1260) relation_dom(all_438_2_587) = all_438_1_586
% 18.09/4.95 | (1261) relation_dom(all_0_8_8) = all_438_0_585
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (575) with all_442_0_591, all_442_1_592, all_442_2_593 yields:
% 18.09/4.95 | (1262) relation_dom(all_0_6_6) = all_442_2_593 & apply(all_0_7_7, all_442_1_592) = all_442_0_591 & apply(all_0_8_8, all_23_1_16) = all_442_1_592 & (all_442_0_591 = all_116_0_128 | ~ in(all_23_1_16, all_442_2_593))
% 18.09/4.95 |
% 18.09/4.95 | Applying alpha-rule on (1262) yields:
% 18.09/4.95 | (1263) relation_dom(all_0_6_6) = all_442_2_593
% 18.09/4.95 | (1264) apply(all_0_7_7, all_442_1_592) = all_442_0_591
% 18.09/4.95 | (1265) apply(all_0_8_8, all_23_1_16) = all_442_1_592
% 18.09/4.95 | (1266) all_442_0_591 = all_116_0_128 | ~ in(all_23_1_16, all_442_2_593)
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (573) with all_444_0_594, all_444_1_595, all_444_2_596 yields:
% 18.09/4.95 | (1267) relation_composition(all_0_6_6, all_0_7_7) = all_444_2_596 & relation_dom(all_444_2_596) = all_444_1_595 & relation_dom(all_0_6_6) = all_444_0_594 & ( ~ in(all_110_0_118, all_38_0_31) | ~ in(all_110_1_119, all_444_0_594) | in(all_110_1_119, all_444_1_595)) & ( ~ in(all_110_1_119, all_444_1_595) | (in(all_110_0_118, all_38_0_31) & in(all_110_1_119, all_444_0_594)))
% 18.09/4.95 |
% 18.09/4.95 | Applying alpha-rule on (1267) yields:
% 18.09/4.95 | (1268) relation_composition(all_0_6_6, all_0_7_7) = all_444_2_596
% 18.09/4.95 | (1269) relation_dom(all_444_2_596) = all_444_1_595
% 18.09/4.95 | (1270) relation_dom(all_0_6_6) = all_444_0_594
% 18.09/4.95 | (1271) ~ in(all_110_0_118, all_38_0_31) | ~ in(all_110_1_119, all_444_0_594) | in(all_110_1_119, all_444_1_595)
% 18.09/4.95 | (1272) ~ in(all_110_1_119, all_444_1_595) | (in(all_110_0_118, all_38_0_31) & in(all_110_1_119, all_444_0_594))
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (574) with all_446_0_597, all_446_1_598, all_446_2_599 yields:
% 18.09/4.95 | (1273) relation_composition(all_0_6_6, all_0_8_8) = all_446_2_599 & relation_dom(all_446_2_599) = all_446_1_598 & relation_dom(all_0_6_6) = all_446_0_597 & ( ~ in(all_110_0_118, all_32_0_22) | ~ in(all_110_1_119, all_446_0_597) | in(all_110_1_119, all_446_1_598)) & ( ~ in(all_110_1_119, all_446_1_598) | (in(all_110_0_118, all_32_0_22) & in(all_110_1_119, all_446_0_597)))
% 18.09/4.95 |
% 18.09/4.95 | Applying alpha-rule on (1273) yields:
% 18.09/4.95 | (1274) relation_dom(all_446_2_599) = all_446_1_598
% 18.09/4.95 | (1275) relation_dom(all_0_6_6) = all_446_0_597
% 18.09/4.95 | (1276) relation_composition(all_0_6_6, all_0_8_8) = all_446_2_599
% 18.09/4.95 | (1277) ~ in(all_110_1_119, all_446_1_598) | (in(all_110_0_118, all_32_0_22) & in(all_110_1_119, all_446_0_597))
% 18.09/4.95 | (1278) ~ in(all_110_0_118, all_32_0_22) | ~ in(all_110_1_119, all_446_0_597) | in(all_110_1_119, all_446_1_598)
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (675) with all_448_0_600, all_448_1_601, all_448_2_602 yields:
% 18.09/4.95 | (1279) relation_composition(all_0_8_8, all_32_2_24) = all_448_2_602 & relation_dom(all_448_2_602) = all_448_1_601 & relation_dom(all_0_8_8) = all_448_0_600 & ( ~ in(all_90_0_88, all_32_1_23) | ~ in(all_11_0_14, all_448_0_600) | in(all_11_0_14, all_448_1_601)) & ( ~ in(all_11_0_14, all_448_1_601) | (in(all_90_0_88, all_32_1_23) & in(all_11_0_14, all_448_0_600)))
% 18.09/4.95 |
% 18.09/4.95 | Applying alpha-rule on (1279) yields:
% 18.09/4.95 | (1280) relation_composition(all_0_8_8, all_32_2_24) = all_448_2_602
% 18.09/4.95 | (1281) ~ in(all_11_0_14, all_448_1_601) | (in(all_90_0_88, all_32_1_23) & in(all_11_0_14, all_448_0_600))
% 18.09/4.95 | (1282) relation_dom(all_0_8_8) = all_448_0_600
% 18.09/4.95 | (1283) relation_dom(all_448_2_602) = all_448_1_601
% 18.09/4.95 | (1284) ~ in(all_90_0_88, all_32_1_23) | ~ in(all_11_0_14, all_448_0_600) | in(all_11_0_14, all_448_1_601)
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (673) with all_450_0_603, all_450_1_604, all_450_2_605 yields:
% 18.09/4.95 | (1285) relation_composition(all_0_8_8, all_32_2_24) = all_450_2_605 & relation_dom(all_450_2_605) = all_450_1_604 & relation_dom(all_0_8_8) = all_450_0_603 & ( ~ in(all_102_1_107, all_32_1_23) | ~ in(all_30_1_20, all_450_0_603) | in(all_30_1_20, all_450_1_604)) & ( ~ in(all_30_1_20, all_450_1_604) | (in(all_102_1_107, all_32_1_23) & in(all_30_1_20, all_450_0_603)))
% 18.09/4.95 |
% 18.09/4.95 | Applying alpha-rule on (1285) yields:
% 18.09/4.95 | (1286) relation_dom(all_450_2_605) = all_450_1_604
% 18.09/4.95 | (1287) relation_dom(all_0_8_8) = all_450_0_603
% 18.09/4.95 | (1288) ~ in(all_30_1_20, all_450_1_604) | (in(all_102_1_107, all_32_1_23) & in(all_30_1_20, all_450_0_603))
% 18.09/4.95 | (1289) relation_composition(all_0_8_8, all_32_2_24) = all_450_2_605
% 18.09/4.95 | (1290) ~ in(all_102_1_107, all_32_1_23) | ~ in(all_30_1_20, all_450_0_603) | in(all_30_1_20, all_450_1_604)
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (672) with all_452_0_606, all_452_1_607, all_452_2_608 yields:
% 18.09/4.95 | (1291) relation_composition(all_0_7_7, all_32_2_24) = all_452_2_608 & relation_dom(all_452_2_608) = all_452_1_607 & relation_dom(all_0_7_7) = all_452_0_606 & ( ~ in(all_110_1_119, all_32_1_23) | ~ in(all_5_0_11, all_452_0_606) | in(all_5_0_11, all_452_1_607)) & ( ~ in(all_5_0_11, all_452_1_607) | (in(all_110_1_119, all_32_1_23) & in(all_5_0_11, all_452_0_606)))
% 18.09/4.95 |
% 18.09/4.95 | Applying alpha-rule on (1291) yields:
% 18.09/4.95 | (1292) relation_dom(all_0_7_7) = all_452_0_606
% 18.09/4.95 | (1293) relation_composition(all_0_7_7, all_32_2_24) = all_452_2_608
% 18.09/4.95 | (1294) ~ in(all_5_0_11, all_452_1_607) | (in(all_110_1_119, all_32_1_23) & in(all_5_0_11, all_452_0_606))
% 18.09/4.95 | (1295) relation_dom(all_452_2_608) = all_452_1_607
% 18.09/4.95 | (1296) ~ in(all_110_1_119, all_32_1_23) | ~ in(all_5_0_11, all_452_0_606) | in(all_5_0_11, all_452_1_607)
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (674) with all_454_0_609, all_454_1_610, all_454_2_611 yields:
% 18.09/4.95 | (1297) relation_composition(all_0_8_8, all_32_2_24) = all_454_2_611 & relation_dom(all_454_2_611) = all_454_1_610 & relation_dom(all_0_8_8) = all_454_0_609 & ( ~ in(all_64_1_50, all_32_1_23) | ~ in(all_30_2_21, all_454_0_609) | in(all_30_2_21, all_454_1_610)) & ( ~ in(all_30_2_21, all_454_1_610) | (in(all_64_1_50, all_32_1_23) & in(all_30_2_21, all_454_0_609)))
% 18.09/4.95 |
% 18.09/4.95 | Applying alpha-rule on (1297) yields:
% 18.09/4.95 | (1298) ~ in(all_64_1_50, all_32_1_23) | ~ in(all_30_2_21, all_454_0_609) | in(all_30_2_21, all_454_1_610)
% 18.09/4.95 | (1299) relation_dom(all_0_8_8) = all_454_0_609
% 18.09/4.95 | (1300) relation_dom(all_454_2_611) = all_454_1_610
% 18.09/4.95 | (1301) ~ in(all_30_2_21, all_454_1_610) | (in(all_64_1_50, all_32_1_23) & in(all_30_2_21, all_454_0_609))
% 18.09/4.95 | (1302) relation_composition(all_0_8_8, all_32_2_24) = all_454_2_611
% 18.09/4.95 |
% 18.09/4.95 | Instantiating (676) with all_460_0_618, all_460_1_619, all_460_2_620 yields:
% 18.09/4.95 | (1303) relation_composition(all_0_8_8, all_32_2_24) = all_460_2_620 & relation_dom(all_460_2_620) = all_460_1_619 & relation_dom(all_0_8_8) = all_460_0_618 & ( ~ in(all_70_1_59, all_32_1_23) | ~ in(all_7_0_12, all_460_0_618) | in(all_7_0_12, all_460_1_619)) & ( ~ in(all_7_0_12, all_460_1_619) | (in(all_70_1_59, all_32_1_23) & in(all_7_0_12, all_460_0_618)))
% 18.09/4.95 |
% 18.09/4.96 | Applying alpha-rule on (1303) yields:
% 18.09/4.96 | (1304) relation_dom(all_0_8_8) = all_460_0_618
% 18.09/4.96 | (1305) relation_dom(all_460_2_620) = all_460_1_619
% 18.09/4.96 | (1306) ~ in(all_70_1_59, all_32_1_23) | ~ in(all_7_0_12, all_460_0_618) | in(all_7_0_12, all_460_1_619)
% 18.09/4.96 | (1307) ~ in(all_7_0_12, all_460_1_619) | (in(all_70_1_59, all_32_1_23) & in(all_7_0_12, all_460_0_618))
% 18.09/4.96 | (1308) relation_composition(all_0_8_8, all_32_2_24) = all_460_2_620
% 18.09/4.96 |
% 18.09/4.96 | Instantiating (671) with all_464_0_624, all_464_1_625, all_464_2_626 yields:
% 18.09/4.96 | (1309) relation_composition(all_0_7_7, all_32_2_24) = all_464_2_626 & relation_dom(all_464_2_626) = all_464_1_625 & relation_dom(all_0_7_7) = all_464_0_624 & ( ~ in(all_80_0_73, all_32_1_23) | ~ in(all_7_0_12, all_464_0_624) | in(all_7_0_12, all_464_1_625)) & ( ~ in(all_7_0_12, all_464_1_625) | (in(all_80_0_73, all_32_1_23) & in(all_7_0_12, all_464_0_624)))
% 18.09/4.96 |
% 18.09/4.96 | Applying alpha-rule on (1309) yields:
% 18.09/4.96 | (1310) relation_composition(all_0_7_7, all_32_2_24) = all_464_2_626
% 18.09/4.96 | (1311) relation_dom(all_0_7_7) = all_464_0_624
% 18.09/4.96 | (1312) ~ in(all_7_0_12, all_464_1_625) | (in(all_80_0_73, all_32_1_23) & in(all_7_0_12, all_464_0_624))
% 18.09/4.96 | (1313) ~ in(all_80_0_73, all_32_1_23) | ~ in(all_7_0_12, all_464_0_624) | in(all_7_0_12, all_464_1_625)
% 18.09/4.96 | (1314) relation_dom(all_464_2_626) = all_464_1_625
% 18.09/4.96 |
% 18.09/4.96 | Instantiating (670) with all_466_0_627, all_466_1_628, all_466_2_629 yields:
% 18.09/4.96 | (1315) relation_composition(all_0_7_7, all_32_2_24) = all_466_2_629 & relation_dom(all_466_2_629) = all_466_1_628 & relation_dom(all_0_7_7) = all_466_0_627 & ( ~ in(all_112_0_122, all_32_1_23) | ~ in(all_11_0_14, all_466_0_627) | in(all_11_0_14, all_466_1_628)) & ( ~ in(all_11_0_14, all_466_1_628) | (in(all_112_0_122, all_32_1_23) & in(all_11_0_14, all_466_0_627)))
% 18.09/4.96 |
% 18.09/4.96 | Applying alpha-rule on (1315) yields:
% 18.09/4.96 | (1316) relation_dom(all_0_7_7) = all_466_0_627
% 18.09/4.96 | (1317) relation_dom(all_466_2_629) = all_466_1_628
% 18.09/4.96 | (1318) relation_composition(all_0_7_7, all_32_2_24) = all_466_2_629
% 18.09/4.96 | (1319) ~ in(all_112_0_122, all_32_1_23) | ~ in(all_11_0_14, all_466_0_627) | in(all_11_0_14, all_466_1_628)
% 18.09/4.96 | (1320) ~ in(all_11_0_14, all_466_1_628) | (in(all_112_0_122, all_32_1_23) & in(all_11_0_14, all_466_0_627))
% 18.09/4.96 |
% 18.09/4.96 | Instantiating (669) with all_472_0_636, all_472_1_637, all_472_2_638 yields:
% 18.09/4.96 | (1321) relation_composition(all_0_7_7, all_32_2_24) = all_472_2_638 & relation_dom(all_472_2_638) = all_472_1_637 & relation_dom(all_0_7_7) = all_472_0_636 & ( ~ in(all_64_1_50, all_472_0_636) | ~ in(all_30_0_19, all_32_1_23) | in(all_64_1_50, all_472_1_637)) & ( ~ in(all_64_1_50, all_472_1_637) | (in(all_64_1_50, all_472_0_636) & in(all_30_0_19, all_32_1_23)))
% 18.09/4.96 |
% 18.09/4.96 | Applying alpha-rule on (1321) yields:
% 18.09/4.96 | (1322) relation_dom(all_472_2_638) = all_472_1_637
% 18.09/4.96 | (1323) relation_dom(all_0_7_7) = all_472_0_636
% 18.09/4.96 | (1324) ~ in(all_64_1_50, all_472_1_637) | (in(all_64_1_50, all_472_0_636) & in(all_30_0_19, all_32_1_23))
% 18.09/4.96 | (1325) ~ in(all_64_1_50, all_472_0_636) | ~ in(all_30_0_19, all_32_1_23) | in(all_64_1_50, all_472_1_637)
% 18.09/4.96 | (1326) relation_composition(all_0_7_7, all_32_2_24) = all_472_2_638
% 18.09/4.96 |
% 18.09/4.96 | Instantiating (668) with all_474_0_639, all_474_1_640, all_474_2_641 yields:
% 18.09/4.96 | (1327) relation_composition(all_0_7_7, all_32_2_24) = all_474_2_641 & relation_dom(all_474_2_641) = all_474_1_640 & relation_dom(all_0_7_7) = all_474_0_639 & ( ~ in(all_70_0_58, all_32_1_23) | ~ in(all_70_1_59, all_474_0_639) | in(all_70_1_59, all_474_1_640)) & ( ~ in(all_70_1_59, all_474_1_640) | (in(all_70_0_58, all_32_1_23) & in(all_70_1_59, all_474_0_639)))
% 18.09/4.96 |
% 18.09/4.96 | Applying alpha-rule on (1327) yields:
% 18.09/4.96 | (1328) relation_dom(all_474_2_641) = all_474_1_640
% 18.09/4.96 | (1329) relation_composition(all_0_7_7, all_32_2_24) = all_474_2_641
% 18.09/4.96 | (1330) ~ in(all_70_0_58, all_32_1_23) | ~ in(all_70_1_59, all_474_0_639) | in(all_70_1_59, all_474_1_640)
% 18.09/4.96 | (1331) ~ in(all_70_1_59, all_474_1_640) | (in(all_70_0_58, all_32_1_23) & in(all_70_1_59, all_474_0_639))
% 18.09/4.96 | (1332) relation_dom(all_0_7_7) = all_474_0_639
% 18.09/4.96 |
% 18.09/4.96 | Instantiating (572) with all_480_0_648, all_480_1_649, all_480_2_650 yields:
% 18.09/4.96 | (1333) relation_composition(all_0_6_6, all_0_6_6) = all_480_2_650 & relation_dom(all_480_2_650) = all_480_1_649 & relation_dom(all_0_6_6) = all_480_0_648 & ( ~ in(all_110_0_118, all_23_3_18) | ~ in(all_110_1_119, all_480_0_648) | in(all_110_1_119, all_480_1_649)) & ( ~ in(all_110_1_119, all_480_1_649) | (in(all_110_0_118, all_23_3_18) & in(all_110_1_119, all_480_0_648)))
% 18.09/4.96 |
% 18.09/4.96 | Applying alpha-rule on (1333) yields:
% 18.09/4.96 | (1334) relation_composition(all_0_6_6, all_0_6_6) = all_480_2_650
% 18.09/4.96 | (1335) ~ in(all_110_1_119, all_480_1_649) | (in(all_110_0_118, all_23_3_18) & in(all_110_1_119, all_480_0_648))
% 18.09/4.96 | (1336) relation_dom(all_0_6_6) = all_480_0_648
% 18.09/4.96 | (1337) relation_dom(all_480_2_650) = all_480_1_649
% 18.09/4.96 | (1338) ~ in(all_110_0_118, all_23_3_18) | ~ in(all_110_1_119, all_480_0_648) | in(all_110_1_119, all_480_1_649)
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (6) with all_0_8_8, all_0_7_7, all_270_2_332, all_0_6_6 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_270_2_332, relation_composition(all_0_8_8, all_0_7_7) = all_0_6_6, yields:
% 18.09/4.96 | (1339) all_270_2_332 = all_0_6_6
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (6) with all_0_8_8, all_0_7_7, all_270_2_332, all_274_2_338 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_274_2_338, relation_composition(all_0_8_8, all_0_7_7) = all_270_2_332, yields:
% 18.09/4.96 | (1340) all_274_2_338 = all_270_2_332
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (6) with all_0_8_8, all_0_7_7, all_244_2_292, all_274_2_338 and discharging atoms relation_composition(all_0_8_8, all_0_7_7) = all_274_2_338, relation_composition(all_0_8_8, all_0_7_7) = all_244_2_292, yields:
% 18.09/4.96 | (1341) all_274_2_338 = all_244_2_292
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_442_2_593, all_444_0_594 and discharging atoms relation_dom(all_0_6_6) = all_444_0_594, relation_dom(all_0_6_6) = all_442_2_593, yields:
% 18.09/4.96 | (1342) all_444_0_594 = all_442_2_593
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_414_0_549, all_442_2_593 and discharging atoms relation_dom(all_0_6_6) = all_442_2_593, relation_dom(all_0_6_6) = all_414_0_549, yields:
% 18.09/4.96 | (1343) all_442_2_593 = all_414_0_549
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_412_0_546, all_480_0_648 and discharging atoms relation_dom(all_0_6_6) = all_480_0_648, relation_dom(all_0_6_6) = all_412_0_546, yields:
% 18.09/4.96 | (1344) all_480_0_648 = all_412_0_546
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_396_0_522, all_414_0_549 and discharging atoms relation_dom(all_0_6_6) = all_414_0_549, relation_dom(all_0_6_6) = all_396_0_522, yields:
% 18.09/4.96 | (1345) all_414_0_549 = all_396_0_522
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_394_0_519, all_396_0_522 and discharging atoms relation_dom(all_0_6_6) = all_396_0_522, relation_dom(all_0_6_6) = all_394_0_519, yields:
% 18.09/4.96 | (1346) all_396_0_522 = all_394_0_519
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_392_0_516, all_394_0_519 and discharging atoms relation_dom(all_0_6_6) = all_394_0_519, relation_dom(all_0_6_6) = all_392_0_516, yields:
% 18.09/4.96 | (1347) all_394_0_519 = all_392_0_516
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_382_2_502, all_392_0_516 and discharging atoms relation_dom(all_0_6_6) = all_392_0_516, relation_dom(all_0_6_6) = all_382_2_502, yields:
% 18.09/4.96 | (1348) all_392_0_516 = all_382_2_502
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_378_0_494, all_446_0_597 and discharging atoms relation_dom(all_0_6_6) = all_446_0_597, relation_dom(all_0_6_6) = all_378_0_494, yields:
% 18.09/4.96 | (1349) all_446_0_597 = all_378_0_494
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_370_0_482, all_446_0_597 and discharging atoms relation_dom(all_0_6_6) = all_446_0_597, relation_dom(all_0_6_6) = all_370_0_482, yields:
% 18.09/4.96 | (1350) all_446_0_597 = all_370_0_482
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_368_0_479, all_382_2_502 and discharging atoms relation_dom(all_0_6_6) = all_382_2_502, relation_dom(all_0_6_6) = all_368_0_479, yields:
% 18.09/4.96 | (1351) all_382_2_502 = all_368_0_479
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_362_0_470, all_426_0_567 and discharging atoms relation_dom(all_0_6_6) = all_426_0_567, relation_dom(all_0_6_6) = all_362_0_470, yields:
% 18.09/4.96 | (1352) all_426_0_567 = all_362_0_470
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_360_0_467, all_362_0_470 and discharging atoms relation_dom(all_0_6_6) = all_362_0_470, relation_dom(all_0_6_6) = all_360_0_467, yields:
% 18.09/4.96 | (1353) all_362_0_470 = all_360_0_467
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_356_1_462, all_360_0_467 and discharging atoms relation_dom(all_0_6_6) = all_360_0_467, relation_dom(all_0_6_6) = all_356_1_462, yields:
% 18.09/4.96 | (1354) all_360_0_467 = all_356_1_462
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_334_0_426, all_370_0_482 and discharging atoms relation_dom(all_0_6_6) = all_370_0_482, relation_dom(all_0_6_6) = all_334_0_426, yields:
% 18.09/4.96 | (1355) all_370_0_482 = all_334_0_426
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_334_0_426, all_356_1_462 and discharging atoms relation_dom(all_0_6_6) = all_356_1_462, relation_dom(all_0_6_6) = all_334_0_426, yields:
% 18.09/4.96 | (1356) all_356_1_462 = all_334_0_426
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_330_0_420, all_370_0_482 and discharging atoms relation_dom(all_0_6_6) = all_370_0_482, relation_dom(all_0_6_6) = all_330_0_420, yields:
% 18.09/4.96 | (1357) all_370_0_482 = all_330_0_420
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_322_2_410, all_446_0_597 and discharging atoms relation_dom(all_0_6_6) = all_446_0_597, relation_dom(all_0_6_6) = all_322_2_410, yields:
% 18.09/4.96 | (1358) all_446_0_597 = all_322_2_410
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_320_0_405, all_446_0_597 and discharging atoms relation_dom(all_0_6_6) = all_446_0_597, relation_dom(all_0_6_6) = all_320_0_405, yields:
% 18.09/4.96 | (1359) all_446_0_597 = all_320_0_405
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_314_0_396, all_368_0_479 and discharging atoms relation_dom(all_0_6_6) = all_368_0_479, relation_dom(all_0_6_6) = all_314_0_396, yields:
% 18.09/4.96 | (1360) all_368_0_479 = all_314_0_396
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_310_1_391, all_412_0_546 and discharging atoms relation_dom(all_0_6_6) = all_412_0_546, relation_dom(all_0_6_6) = all_310_1_391, yields:
% 18.09/4.96 | (1361) all_412_0_546 = all_310_1_391
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_310_1_391, all_314_0_396 and discharging atoms relation_dom(all_0_6_6) = all_314_0_396, relation_dom(all_0_6_6) = all_310_1_391, yields:
% 18.09/4.96 | (1362) all_314_0_396 = all_310_1_391
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_300_0_375, all_320_0_405 and discharging atoms relation_dom(all_0_6_6) = all_320_0_405, relation_dom(all_0_6_6) = all_300_0_375, yields:
% 18.09/4.96 | (1363) all_320_0_405 = all_300_0_375
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_298_0_372, all_444_0_594 and discharging atoms relation_dom(all_0_6_6) = all_444_0_594, relation_dom(all_0_6_6) = all_298_0_372, yields:
% 18.09/4.96 | (1364) all_444_0_594 = all_298_0_372
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_296_0_369, all_300_0_375 and discharging atoms relation_dom(all_0_6_6) = all_300_0_375, relation_dom(all_0_6_6) = all_296_0_369, yields:
% 18.09/4.96 | (1365) all_300_0_375 = all_296_0_369
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_292_2_365, all_426_0_567 and discharging atoms relation_dom(all_0_6_6) = all_426_0_567, relation_dom(all_0_6_6) = all_292_2_365, yields:
% 18.09/4.96 | (1366) all_426_0_567 = all_292_2_365
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_290_0_360, all_480_0_648 and discharging atoms relation_dom(all_0_6_6) = all_480_0_648, relation_dom(all_0_6_6) = all_290_0_360, yields:
% 18.09/4.96 | (1367) all_480_0_648 = all_290_0_360
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_234_0_275, all_310_1_391 and discharging atoms relation_dom(all_0_6_6) = all_310_1_391, relation_dom(all_0_6_6) = all_234_0_275, yields:
% 18.09/4.96 | (1368) all_310_1_391 = all_234_0_275
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_234_0_275, all_296_0_369 and discharging atoms relation_dom(all_0_6_6) = all_296_0_369, relation_dom(all_0_6_6) = all_234_0_275, yields:
% 18.09/4.96 | (1369) all_296_0_369 = all_234_0_275
% 18.09/4.96 |
% 18.09/4.96 | Instantiating formula (26) with all_0_6_6, all_224_0_260, all_310_1_391 and discharging atoms relation_dom(all_0_6_6) = all_310_1_391, relation_dom(all_0_6_6) = all_224_0_260, yields:
% 18.09/4.96 | (1370) all_310_1_391 = all_224_0_260
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_222_0_257, all_234_0_275 and discharging atoms relation_dom(all_0_6_6) = all_234_0_275, relation_dom(all_0_6_6) = all_222_0_257, yields:
% 18.09/4.97 | (1371) all_234_0_275 = all_222_0_257
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_206_0_232, all_222_0_257 and discharging atoms relation_dom(all_0_6_6) = all_222_0_257, relation_dom(all_0_6_6) = all_206_0_232, yields:
% 18.09/4.97 | (1372) all_222_0_257 = all_206_0_232
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_202_0_226, all_206_0_232 and discharging atoms relation_dom(all_0_6_6) = all_206_0_232, relation_dom(all_0_6_6) = all_202_0_226, yields:
% 18.09/4.97 | (1373) all_206_0_232 = all_202_0_226
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_200_0_223, all_202_0_226 and discharging atoms relation_dom(all_0_6_6) = all_202_0_226, relation_dom(all_0_6_6) = all_200_0_223, yields:
% 18.09/4.97 | (1374) all_202_0_226 = all_200_0_223
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_184_0_199, all_200_0_223 and discharging atoms relation_dom(all_0_6_6) = all_200_0_223, relation_dom(all_0_6_6) = all_184_0_199, yields:
% 18.09/4.97 | (1375) all_200_0_223 = all_184_0_199
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_182_0_196, all_184_0_199 and discharging atoms relation_dom(all_0_6_6) = all_184_0_199, relation_dom(all_0_6_6) = all_182_0_196, yields:
% 18.09/4.97 | (1376) all_184_0_199 = all_182_0_196
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_172_0_181, all_182_0_196 and discharging atoms relation_dom(all_0_6_6) = all_182_0_196, relation_dom(all_0_6_6) = all_172_0_181, yields:
% 18.09/4.97 | (1377) all_182_0_196 = all_172_0_181
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_170_0_178, all_23_3_18 and discharging atoms relation_dom(all_0_6_6) = all_170_0_178, relation_dom(all_0_6_6) = all_23_3_18, yields:
% 18.09/4.97 | (1378) all_170_0_178 = all_23_3_18
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_170_0_178, all_172_0_181 and discharging atoms relation_dom(all_0_6_6) = all_172_0_181, relation_dom(all_0_6_6) = all_170_0_178, yields:
% 18.09/4.97 | (1379) all_172_0_181 = all_170_0_178
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_160_0_163, all_296_0_369 and discharging atoms relation_dom(all_0_6_6) = all_296_0_369, relation_dom(all_0_6_6) = all_160_0_163, yields:
% 18.09/4.97 | (1380) all_296_0_369 = all_160_0_163
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_158_0_160, all_170_0_178 and discharging atoms relation_dom(all_0_6_6) = all_170_0_178, relation_dom(all_0_6_6) = all_158_0_160, yields:
% 18.09/4.97 | (1381) all_170_0_178 = all_158_0_160
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_152_0_151, all_158_0_160 and discharging atoms relation_dom(all_0_6_6) = all_158_0_160, relation_dom(all_0_6_6) = all_152_0_151, yields:
% 18.09/4.97 | (1382) all_158_0_160 = all_152_0_151
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_6_6, all_150_0_148, all_158_0_160 and discharging atoms relation_dom(all_0_6_6) = all_158_0_160, relation_dom(all_0_6_6) = all_150_0_148, yields:
% 18.09/4.97 | (1383) all_158_0_160 = all_150_0_148
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_472_0_636, all_474_0_639 and discharging atoms relation_dom(all_0_7_7) = all_474_0_639, relation_dom(all_0_7_7) = all_472_0_636, yields:
% 18.09/4.97 | (1384) all_474_0_639 = all_472_0_636
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_464_0_624, all_466_0_627 and discharging atoms relation_dom(all_0_7_7) = all_466_0_627, relation_dom(all_0_7_7) = all_464_0_624, yields:
% 18.09/4.97 | (1385) all_466_0_627 = all_464_0_624
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_452_0_606, all_472_0_636 and discharging atoms relation_dom(all_0_7_7) = all_472_0_636, relation_dom(all_0_7_7) = all_452_0_606, yields:
% 18.09/4.97 | (1386) all_472_0_636 = all_452_0_606
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_380_0_497, all_464_0_624 and discharging atoms relation_dom(all_0_7_7) = all_464_0_624, relation_dom(all_0_7_7) = all_380_0_497, yields:
% 18.09/4.97 | (1387) all_464_0_624 = all_380_0_497
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_376_0_491, all_452_0_606 and discharging atoms relation_dom(all_0_7_7) = all_452_0_606, relation_dom(all_0_7_7) = all_376_0_491, yields:
% 18.09/4.97 | (1388) all_452_0_606 = all_376_0_491
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_358_0_464, all_380_0_497 and discharging atoms relation_dom(all_0_7_7) = all_380_0_497, relation_dom(all_0_7_7) = all_358_0_464, yields:
% 18.09/4.97 | (1389) all_380_0_497 = all_358_0_464
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_342_1_439, all_358_0_464 and discharging atoms relation_dom(all_0_7_7) = all_358_0_464, relation_dom(all_0_7_7) = all_342_1_439, yields:
% 18.09/4.97 | (1390) all_358_0_464 = all_342_1_439
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_340_0_435, all_342_1_439 and discharging atoms relation_dom(all_0_7_7) = all_342_1_439, relation_dom(all_0_7_7) = all_340_0_435, yields:
% 18.09/4.97 | (1391) all_342_1_439 = all_340_0_435
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_328_0_417, all_340_0_435 and discharging atoms relation_dom(all_0_7_7) = all_340_0_435, relation_dom(all_0_7_7) = all_328_0_417, yields:
% 18.09/4.97 | (1392) all_340_0_435 = all_328_0_417
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_326_0_414, all_466_0_627 and discharging atoms relation_dom(all_0_7_7) = all_466_0_627, relation_dom(all_0_7_7) = all_326_0_414, yields:
% 18.09/4.97 | (1393) all_466_0_627 = all_326_0_414
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_324_0_411, all_338_0_432 and discharging atoms relation_dom(all_0_7_7) = all_338_0_432, relation_dom(all_0_7_7) = all_324_0_411, yields:
% 18.09/4.97 | (1394) all_338_0_432 = all_324_0_411
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_312_0_393, all_328_0_417 and discharging atoms relation_dom(all_0_7_7) = all_328_0_417, relation_dom(all_0_7_7) = all_312_0_393, yields:
% 18.09/4.97 | (1395) all_328_0_417 = all_312_0_393
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_286_0_354, all_376_0_491 and discharging atoms relation_dom(all_0_7_7) = all_376_0_491, relation_dom(all_0_7_7) = all_286_0_354, yields:
% 18.09/4.97 | (1396) all_376_0_491 = all_286_0_354
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_284_0_351, all_346_1_446 and discharging atoms relation_dom(all_0_7_7) = all_346_1_446, relation_dom(all_0_7_7) = all_284_0_351, yields:
% 18.09/4.97 | (1397) all_346_1_446 = all_284_0_351
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_278_0_342, all_302_0_378 and discharging atoms relation_dom(all_0_7_7) = all_302_0_378, relation_dom(all_0_7_7) = all_278_0_342, yields:
% 18.09/4.97 | (1398) all_302_0_378 = all_278_0_342
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_278_0_342, all_284_0_351 and discharging atoms relation_dom(all_0_7_7) = all_284_0_351, relation_dom(all_0_7_7) = all_278_0_342, yields:
% 18.09/4.97 | (1399) all_284_0_351 = all_278_0_342
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_276_0_339, all_312_0_393 and discharging atoms relation_dom(all_0_7_7) = all_312_0_393, relation_dom(all_0_7_7) = all_276_0_339, yields:
% 18.09/4.97 | (1400) all_312_0_393 = all_276_0_339
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_276_0_339, all_278_0_342 and discharging atoms relation_dom(all_0_7_7) = all_278_0_342, relation_dom(all_0_7_7) = all_276_0_339, yields:
% 18.09/4.97 | (1401) all_278_0_342 = all_276_0_339
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_268_0_327, all_288_0_357 and discharging atoms relation_dom(all_0_7_7) = all_288_0_357, relation_dom(all_0_7_7) = all_268_0_327, yields:
% 18.09/4.97 | (1402) all_288_0_357 = all_268_0_327
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_266_0_324, all_302_0_378 and discharging atoms relation_dom(all_0_7_7) = all_302_0_378, relation_dom(all_0_7_7) = all_266_0_324, yields:
% 18.09/4.97 | (1403) all_302_0_378 = all_266_0_324
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_264_0_321, all_268_0_327 and discharging atoms relation_dom(all_0_7_7) = all_268_0_327, relation_dom(all_0_7_7) = all_264_0_321, yields:
% 18.09/4.97 | (1404) all_268_0_327 = all_264_0_321
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_262_0_318, all_286_0_354 and discharging atoms relation_dom(all_0_7_7) = all_286_0_354, relation_dom(all_0_7_7) = all_262_0_318, yields:
% 18.09/4.97 | (1405) all_286_0_354 = all_262_0_318
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_262_0_318, all_264_0_321 and discharging atoms relation_dom(all_0_7_7) = all_264_0_321, relation_dom(all_0_7_7) = all_262_0_318, yields:
% 18.09/4.97 | (1406) all_264_0_321 = all_262_0_318
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_252_0_302, all_346_1_446 and discharging atoms relation_dom(all_0_7_7) = all_346_1_446, relation_dom(all_0_7_7) = all_252_0_302, yields:
% 18.09/4.97 | (1407) all_346_1_446 = all_252_0_302
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_250_0_299, all_338_0_432 and discharging atoms relation_dom(all_0_7_7) = all_338_0_432, relation_dom(all_0_7_7) = all_250_0_299, yields:
% 18.09/4.97 | (1408) all_338_0_432 = all_250_0_299
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_250_0_299, all_284_0_351 and discharging atoms relation_dom(all_0_7_7) = all_284_0_351, relation_dom(all_0_7_7) = all_250_0_299, yields:
% 18.09/4.97 | (1409) all_284_0_351 = all_250_0_299
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_248_0_296, all_288_0_357 and discharging atoms relation_dom(all_0_7_7) = all_288_0_357, relation_dom(all_0_7_7) = all_248_0_296, yields:
% 18.09/4.97 | (1410) all_288_0_357 = all_248_0_296
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_246_0_293, all_254_0_305 and discharging atoms relation_dom(all_0_7_7) = all_254_0_305, relation_dom(all_0_7_7) = all_246_0_293, yields:
% 18.09/4.97 | (1411) all_254_0_305 = all_246_0_293
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_220_0_254, all_324_0_411 and discharging atoms relation_dom(all_0_7_7) = all_324_0_411, relation_dom(all_0_7_7) = all_220_0_254, yields:
% 18.09/4.97 | (1412) all_324_0_411 = all_220_0_254
% 18.09/4.97 |
% 18.09/4.97 | Instantiating formula (26) with all_0_7_7, all_220_0_254, all_262_0_318 and discharging atoms relation_dom(all_0_7_7) = all_262_0_318, relation_dom(all_0_7_7) = all_220_0_254, yields:
% 18.40/4.97 | (1413) all_262_0_318 = all_220_0_254
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_218_0_251, all_324_0_411 and discharging atoms relation_dom(all_0_7_7) = all_324_0_411, relation_dom(all_0_7_7) = all_218_0_251, yields:
% 18.40/4.97 | (1414) all_324_0_411 = all_218_0_251
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_212_0_241, all_338_0_432 and discharging atoms relation_dom(all_0_7_7) = all_338_0_432, relation_dom(all_0_7_7) = all_212_0_241, yields:
% 18.40/4.97 | (1415) all_338_0_432 = all_212_0_241
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_204_0_229, all_328_0_417 and discharging atoms relation_dom(all_0_7_7) = all_328_0_417, relation_dom(all_0_7_7) = all_204_0_229, yields:
% 18.40/4.97 | (1416) all_328_0_417 = all_204_0_229
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_198_0_220, all_250_0_299 and discharging atoms relation_dom(all_0_7_7) = all_250_0_299, relation_dom(all_0_7_7) = all_198_0_220, yields:
% 18.40/4.97 | (1417) all_250_0_299 = all_198_0_220
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_198_0_220, all_246_0_293 and discharging atoms relation_dom(all_0_7_7) = all_246_0_293, relation_dom(all_0_7_7) = all_198_0_220, yields:
% 18.40/4.97 | (1418) all_246_0_293 = all_198_0_220
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_196_0_217, all_254_0_305 and discharging atoms relation_dom(all_0_7_7) = all_254_0_305, relation_dom(all_0_7_7) = all_196_0_217, yields:
% 18.40/4.97 | (1419) all_254_0_305 = all_196_0_217
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_176_0_187, all_474_0_639 and discharging atoms relation_dom(all_0_7_7) = all_474_0_639, relation_dom(all_0_7_7) = all_176_0_187, yields:
% 18.40/4.97 | (1420) all_474_0_639 = all_176_0_187
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_168_0_175, all_38_0_31 and discharging atoms relation_dom(all_0_7_7) = all_168_0_175, relation_dom(all_0_7_7) = all_38_0_31, yields:
% 18.40/4.97 | (1421) all_168_0_175 = all_38_0_31
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_168_0_175, all_246_0_293 and discharging atoms relation_dom(all_0_7_7) = all_246_0_293, relation_dom(all_0_7_7) = all_168_0_175, yields:
% 18.40/4.97 | (1422) all_246_0_293 = all_168_0_175
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_162_0_166, all_246_0_293 and discharging atoms relation_dom(all_0_7_7) = all_246_0_293, relation_dom(all_0_7_7) = all_162_0_166, yields:
% 18.40/4.97 | (1423) all_246_0_293 = all_162_0_166
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_7_7, all_148_0_145, all_168_0_175 and discharging atoms relation_dom(all_0_7_7) = all_168_0_175, relation_dom(all_0_7_7) = all_148_0_145, yields:
% 18.40/4.97 | (1424) all_168_0_175 = all_148_0_145
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_454_0_609, all_460_0_618 and discharging atoms relation_dom(all_0_8_8) = all_460_0_618, relation_dom(all_0_8_8) = all_454_0_609, yields:
% 18.40/4.97 | (1425) all_460_0_618 = all_454_0_609
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_436_0_582, all_438_0_585 and discharging atoms relation_dom(all_0_8_8) = all_438_0_585, relation_dom(all_0_8_8) = all_436_0_582, yields:
% 18.40/4.97 | (1426) all_438_0_585 = all_436_0_582
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_416_0_552, all_438_0_585 and discharging atoms relation_dom(all_0_8_8) = all_438_0_585, relation_dom(all_0_8_8) = all_416_0_552, yields:
% 18.40/4.97 | (1427) all_438_0_585 = all_416_0_552
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_332_0_423, all_32_0_22 and discharging atoms relation_dom(all_0_8_8) = all_332_0_423, relation_dom(all_0_8_8) = all_32_0_22, yields:
% 18.40/4.97 | (1428) all_332_0_423 = all_32_0_22
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_332_0_423, all_454_0_609 and discharging atoms relation_dom(all_0_8_8) = all_454_0_609, relation_dom(all_0_8_8) = all_332_0_423, yields:
% 18.40/4.97 | (1429) all_454_0_609 = all_332_0_423
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_282_0_348, all_460_0_618 and discharging atoms relation_dom(all_0_8_8) = all_460_0_618, relation_dom(all_0_8_8) = all_282_0_348, yields:
% 18.40/4.97 | (1430) all_460_0_618 = all_282_0_348
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_280_0_345, all_450_0_603 and discharging atoms relation_dom(all_0_8_8) = all_450_0_603, relation_dom(all_0_8_8) = all_280_0_345, yields:
% 18.40/4.97 | (1431) all_450_0_603 = all_280_0_345
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_280_0_345, all_438_0_585 and discharging atoms relation_dom(all_0_8_8) = all_438_0_585, relation_dom(all_0_8_8) = all_280_0_345, yields:
% 18.40/4.97 | (1432) all_438_0_585 = all_280_0_345
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_272_0_333, all_454_0_609 and discharging atoms relation_dom(all_0_8_8) = all_454_0_609, relation_dom(all_0_8_8) = all_272_0_333, yields:
% 18.40/4.97 | (1433) all_454_0_609 = all_272_0_333
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_258_1_312, all_450_0_603 and discharging atoms relation_dom(all_0_8_8) = all_450_0_603, relation_dom(all_0_8_8) = all_258_1_312, yields:
% 18.40/4.97 | (1434) all_450_0_603 = all_258_1_312
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_256_0_308, all_272_0_333 and discharging atoms relation_dom(all_0_8_8) = all_272_0_333, relation_dom(all_0_8_8) = all_256_0_308, yields:
% 18.40/4.97 | (1435) all_272_0_333 = all_256_0_308
% 18.40/4.97 |
% 18.40/4.97 | Instantiating formula (26) with all_0_8_8, all_244_0_290, all_274_0_336 and discharging atoms relation_dom(all_0_8_8) = all_274_0_336, relation_dom(all_0_8_8) = all_244_0_290, yields:
% 18.40/4.97 | (1436) all_274_0_336 = all_244_0_290
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_244_0_290, all_270_0_330 and discharging atoms relation_dom(all_0_8_8) = all_270_0_330, relation_dom(all_0_8_8) = all_244_0_290, yields:
% 18.40/4.98 | (1437) all_270_0_330 = all_244_0_290
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_242_0_287, all_450_0_603 and discharging atoms relation_dom(all_0_8_8) = all_450_0_603, relation_dom(all_0_8_8) = all_242_0_287, yields:
% 18.40/4.98 | (1438) all_450_0_603 = all_242_0_287
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_216_0_248, all_256_0_308 and discharging atoms relation_dom(all_0_8_8) = all_256_0_308, relation_dom(all_0_8_8) = all_216_0_248, yields:
% 18.40/4.98 | (1439) all_256_0_308 = all_216_0_248
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_210_0_238, all_216_0_248 and discharging atoms relation_dom(all_0_8_8) = all_216_0_248, relation_dom(all_0_8_8) = all_210_0_238, yields:
% 18.40/4.98 | (1440) all_216_0_248 = all_210_0_238
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_208_0_235, all_210_0_238 and discharging atoms relation_dom(all_0_8_8) = all_210_0_238, relation_dom(all_0_8_8) = all_208_0_235, yields:
% 18.40/4.98 | (1441) all_210_0_238 = all_208_0_235
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_194_0_214, all_448_0_600 and discharging atoms relation_dom(all_0_8_8) = all_448_0_600, relation_dom(all_0_8_8) = all_194_0_214, yields:
% 18.40/4.98 | (1442) all_448_0_600 = all_194_0_214
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_194_0_214, all_274_0_336 and discharging atoms relation_dom(all_0_8_8) = all_274_0_336, relation_dom(all_0_8_8) = all_194_0_214, yields:
% 18.40/4.98 | (1443) all_274_0_336 = all_194_0_214
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_194_0_214, all_242_0_287 and discharging atoms relation_dom(all_0_8_8) = all_242_0_287, relation_dom(all_0_8_8) = all_194_0_214, yields:
% 18.40/4.98 | (1444) all_242_0_287 = all_194_0_214
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_190_0_208, all_208_0_235 and discharging atoms relation_dom(all_0_8_8) = all_208_0_235, relation_dom(all_0_8_8) = all_190_0_208, yields:
% 18.40/4.98 | (1445) all_208_0_235 = all_190_0_208
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_180_0_193, all_190_0_208 and discharging atoms relation_dom(all_0_8_8) = all_190_0_208, relation_dom(all_0_8_8) = all_180_0_193, yields:
% 18.40/4.98 | (1446) all_190_0_208 = all_180_0_193
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_178_0_190, all_244_0_290 and discharging atoms relation_dom(all_0_8_8) = all_244_0_290, relation_dom(all_0_8_8) = all_178_0_190, yields:
% 18.40/4.98 | (1447) all_244_0_290 = all_178_0_190
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_178_0_190, all_180_0_193 and discharging atoms relation_dom(all_0_8_8) = all_180_0_193, relation_dom(all_0_8_8) = all_178_0_190, yields:
% 18.40/4.98 | (1448) all_180_0_193 = all_178_0_190
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_174_0_184, all_270_0_330 and discharging atoms relation_dom(all_0_8_8) = all_270_0_330, relation_dom(all_0_8_8) = all_174_0_184, yields:
% 18.40/4.98 | (1449) all_270_0_330 = all_174_0_184
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_166_0_172, all_274_0_336 and discharging atoms relation_dom(all_0_8_8) = all_274_0_336, relation_dom(all_0_8_8) = all_166_0_172, yields:
% 18.40/4.98 | (1450) all_274_0_336 = all_166_0_172
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_156_0_157, all_436_0_582 and discharging atoms relation_dom(all_0_8_8) = all_436_0_582, relation_dom(all_0_8_8) = all_156_0_157, yields:
% 18.40/4.98 | (1451) all_436_0_582 = all_156_0_157
% 18.40/4.98 |
% 18.40/4.98 | Instantiating formula (26) with all_0_8_8, all_146_0_142, all_448_0_600 and discharging atoms relation_dom(all_0_8_8) = all_448_0_600, relation_dom(all_0_8_8) = all_146_0_142, yields:
% 18.40/4.98 | (1452) all_448_0_600 = all_146_0_142
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1344,1367) yields a new equation:
% 18.40/4.98 | (1453) all_412_0_546 = all_290_0_360
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1453 yields:
% 18.40/4.98 | (1454) all_412_0_546 = all_290_0_360
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1384,1420) yields a new equation:
% 18.40/4.98 | (1455) all_472_0_636 = all_176_0_187
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1455 yields:
% 18.40/4.98 | (1456) all_472_0_636 = all_176_0_187
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1386,1456) yields a new equation:
% 18.40/4.98 | (1457) all_452_0_606 = all_176_0_187
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1457 yields:
% 18.40/4.98 | (1458) all_452_0_606 = all_176_0_187
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1385,1393) yields a new equation:
% 18.40/4.98 | (1459) all_464_0_624 = all_326_0_414
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1459 yields:
% 18.40/4.98 | (1460) all_464_0_624 = all_326_0_414
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1387,1460) yields a new equation:
% 18.40/4.98 | (1461) all_380_0_497 = all_326_0_414
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1461 yields:
% 18.40/4.98 | (1462) all_380_0_497 = all_326_0_414
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1425,1430) yields a new equation:
% 18.40/4.98 | (1463) all_454_0_609 = all_282_0_348
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1463 yields:
% 18.40/4.98 | (1464) all_454_0_609 = all_282_0_348
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1429,1464) yields a new equation:
% 18.40/4.98 | (1465) all_332_0_423 = all_282_0_348
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1465 yields:
% 18.40/4.98 | (1466) all_332_0_423 = all_282_0_348
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1433,1464) yields a new equation:
% 18.40/4.98 | (1467) all_282_0_348 = all_272_0_333
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1388,1458) yields a new equation:
% 18.40/4.98 | (1468) all_376_0_491 = all_176_0_187
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1468 yields:
% 18.40/4.98 | (1469) all_376_0_491 = all_176_0_187
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1438,1434) yields a new equation:
% 18.40/4.98 | (1470) all_258_1_312 = all_242_0_287
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1431,1434) yields a new equation:
% 18.40/4.98 | (1471) all_280_0_345 = all_258_1_312
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1471 yields:
% 18.40/4.98 | (1472) all_280_0_345 = all_258_1_312
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1442,1452) yields a new equation:
% 18.40/4.98 | (1473) all_194_0_214 = all_146_0_142
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1473 yields:
% 18.40/4.98 | (1474) all_194_0_214 = all_146_0_142
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1350,1349) yields a new equation:
% 18.40/4.98 | (1475) all_378_0_494 = all_370_0_482
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1359,1349) yields a new equation:
% 18.40/4.98 | (1476) all_378_0_494 = all_320_0_405
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1358,1349) yields a new equation:
% 18.40/4.98 | (1477) all_378_0_494 = all_322_2_410
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1342,1364) yields a new equation:
% 18.40/4.98 | (1478) all_442_2_593 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1478 yields:
% 18.40/4.98 | (1479) all_442_2_593 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1343,1479) yields a new equation:
% 18.40/4.98 | (1480) all_414_0_549 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1480 yields:
% 18.40/4.98 | (1481) all_414_0_549 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1432,1427) yields a new equation:
% 18.40/4.98 | (1482) all_416_0_552 = all_280_0_345
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1426,1427) yields a new equation:
% 18.40/4.98 | (1483) all_436_0_582 = all_416_0_552
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1483 yields:
% 18.40/4.98 | (1484) all_436_0_582 = all_416_0_552
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1484,1451) yields a new equation:
% 18.40/4.98 | (1485) all_416_0_552 = all_156_0_157
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1485 yields:
% 18.40/4.98 | (1486) all_416_0_552 = all_156_0_157
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1352,1366) yields a new equation:
% 18.40/4.98 | (1487) all_362_0_470 = all_292_2_365
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1487 yields:
% 18.40/4.98 | (1488) all_362_0_470 = all_292_2_365
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1482,1486) yields a new equation:
% 18.40/4.98 | (1489) all_280_0_345 = all_156_0_157
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1489 yields:
% 18.40/4.98 | (1490) all_280_0_345 = all_156_0_157
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1345,1481) yields a new equation:
% 18.40/4.98 | (1491) all_396_0_522 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1491 yields:
% 18.40/4.98 | (1492) all_396_0_522 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1361,1454) yields a new equation:
% 18.40/4.98 | (1493) all_310_1_391 = all_290_0_360
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1493 yields:
% 18.40/4.98 | (1494) all_310_1_391 = all_290_0_360
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1346,1492) yields a new equation:
% 18.40/4.98 | (1495) all_394_0_519 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1495 yields:
% 18.40/4.98 | (1496) all_394_0_519 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1347,1496) yields a new equation:
% 18.40/4.98 | (1497) all_392_0_516 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1497 yields:
% 18.40/4.98 | (1498) all_392_0_516 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1348,1498) yields a new equation:
% 18.40/4.98 | (1499) all_382_2_502 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1499 yields:
% 18.40/4.98 | (1500) all_382_2_502 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1351,1500) yields a new equation:
% 18.40/4.98 | (1501) all_368_0_479 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1501 yields:
% 18.40/4.98 | (1502) all_368_0_479 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1389,1462) yields a new equation:
% 18.40/4.98 | (1503) all_358_0_464 = all_326_0_414
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1503 yields:
% 18.40/4.98 | (1504) all_358_0_464 = all_326_0_414
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1476,1477) yields a new equation:
% 18.40/4.98 | (1505) all_322_2_410 = all_320_0_405
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1475,1477) yields a new equation:
% 18.40/4.98 | (1506) all_370_0_482 = all_322_2_410
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1506 yields:
% 18.40/4.98 | (1507) all_370_0_482 = all_322_2_410
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1396,1469) yields a new equation:
% 18.40/4.98 | (1508) all_286_0_354 = all_176_0_187
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1508 yields:
% 18.40/4.98 | (1509) all_286_0_354 = all_176_0_187
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1507,1357) yields a new equation:
% 18.40/4.98 | (1510) all_330_0_420 = all_322_2_410
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1355,1357) yields a new equation:
% 18.40/4.98 | (1511) all_334_0_426 = all_330_0_420
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1511 yields:
% 18.40/4.98 | (1512) all_334_0_426 = all_330_0_420
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1360,1502) yields a new equation:
% 18.40/4.98 | (1513) all_314_0_396 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1513 yields:
% 18.40/4.98 | (1514) all_314_0_396 = all_298_0_372
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1353,1488) yields a new equation:
% 18.40/4.98 | (1515) all_360_0_467 = all_292_2_365
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1515 yields:
% 18.40/4.98 | (1516) all_360_0_467 = all_292_2_365
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1354,1516) yields a new equation:
% 18.40/4.98 | (1517) all_356_1_462 = all_292_2_365
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1517 yields:
% 18.40/4.98 | (1518) all_356_1_462 = all_292_2_365
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1390,1504) yields a new equation:
% 18.40/4.98 | (1519) all_342_1_439 = all_326_0_414
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1519 yields:
% 18.40/4.98 | (1520) all_342_1_439 = all_326_0_414
% 18.40/4.98 |
% 18.40/4.98 | Combining equations (1356,1518) yields a new equation:
% 18.40/4.98 | (1521) all_334_0_426 = all_292_2_365
% 18.40/4.98 |
% 18.40/4.98 | Simplifying 1521 yields:
% 18.40/4.98 | (1522) all_334_0_426 = all_292_2_365
% 18.40/4.98 |
% 18.40/4.99 | Combining equations (1397,1407) yields a new equation:
% 18.40/4.99 | (1523) all_284_0_351 = all_252_0_302
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1523 yields:
% 18.40/4.99 | (1524) all_284_0_351 = all_252_0_302
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1391,1520) yields a new equation:
% 18.40/4.99 | (1525) all_340_0_435 = all_326_0_414
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1525 yields:
% 18.40/4.99 | (1526) all_340_0_435 = all_326_0_414
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1392,1526) yields a new equation:
% 18.40/4.99 | (1527) all_328_0_417 = all_326_0_414
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1527 yields:
% 18.40/4.99 | (1528) all_328_0_417 = all_326_0_414
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1408,1415) yields a new equation:
% 18.40/4.99 | (1529) all_250_0_299 = all_212_0_241
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1529 yields:
% 18.40/4.99 | (1530) all_250_0_299 = all_212_0_241
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1394,1415) yields a new equation:
% 18.40/4.99 | (1531) all_324_0_411 = all_212_0_241
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1531 yields:
% 18.40/4.99 | (1532) all_324_0_411 = all_212_0_241
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1512,1522) yields a new equation:
% 18.40/4.99 | (1533) all_330_0_420 = all_292_2_365
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1533 yields:
% 18.40/4.99 | (1534) all_330_0_420 = all_292_2_365
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1466,1428) yields a new equation:
% 18.40/4.99 | (1535) all_282_0_348 = all_32_0_22
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1535 yields:
% 18.40/4.99 | (1536) all_282_0_348 = all_32_0_22
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1510,1534) yields a new equation:
% 18.40/4.99 | (1537) all_322_2_410 = all_292_2_365
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1537 yields:
% 18.40/4.99 | (1538) all_322_2_410 = all_292_2_365
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1395,1528) yields a new equation:
% 18.40/4.99 | (1539) all_326_0_414 = all_312_0_393
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1416,1528) yields a new equation:
% 18.40/4.99 | (1540) all_326_0_414 = all_204_0_229
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1539,1540) yields a new equation:
% 18.40/4.99 | (1541) all_312_0_393 = all_204_0_229
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1541 yields:
% 18.40/4.99 | (1542) all_312_0_393 = all_204_0_229
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1412,1414) yields a new equation:
% 18.40/4.99 | (1543) all_220_0_254 = all_218_0_251
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1543 yields:
% 18.40/4.99 | (1544) all_220_0_254 = all_218_0_251
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1532,1414) yields a new equation:
% 18.40/4.99 | (1545) all_218_0_251 = all_212_0_241
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1505,1538) yields a new equation:
% 18.40/4.99 | (1546) all_320_0_405 = all_292_2_365
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1546 yields:
% 18.40/4.99 | (1547) all_320_0_405 = all_292_2_365
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1363,1547) yields a new equation:
% 18.40/4.99 | (1548) all_300_0_375 = all_292_2_365
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1548 yields:
% 18.40/4.99 | (1549) all_300_0_375 = all_292_2_365
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1362,1514) yields a new equation:
% 18.40/4.99 | (1550) all_310_1_391 = all_298_0_372
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1550 yields:
% 18.40/4.99 | (1551) all_310_1_391 = all_298_0_372
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1400,1542) yields a new equation:
% 18.40/4.99 | (1552) all_276_0_339 = all_204_0_229
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1552 yields:
% 18.40/4.99 | (1553) all_276_0_339 = all_204_0_229
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1368,1551) yields a new equation:
% 18.40/4.99 | (1554) all_298_0_372 = all_234_0_275
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1370,1551) yields a new equation:
% 18.40/4.99 | (1555) all_298_0_372 = all_224_0_260
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1494,1551) yields a new equation:
% 18.40/4.99 | (1556) all_298_0_372 = all_290_0_360
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1398,1403) yields a new equation:
% 18.40/4.99 | (1557) all_278_0_342 = all_266_0_324
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1557 yields:
% 18.40/4.99 | (1558) all_278_0_342 = all_266_0_324
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1365,1549) yields a new equation:
% 18.40/4.99 | (1559) all_296_0_369 = all_292_2_365
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1559 yields:
% 18.40/4.99 | (1560) all_296_0_369 = all_292_2_365
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1554,1556) yields a new equation:
% 18.40/4.99 | (1561) all_290_0_360 = all_234_0_275
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1555,1556) yields a new equation:
% 18.40/4.99 | (1562) all_290_0_360 = all_224_0_260
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1369,1560) yields a new equation:
% 18.40/4.99 | (1563) all_292_2_365 = all_234_0_275
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1380,1560) yields a new equation:
% 18.40/4.99 | (1564) all_292_2_365 = all_160_0_163
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1563,1564) yields a new equation:
% 18.40/4.99 | (1565) all_234_0_275 = all_160_0_163
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1565 yields:
% 18.40/4.99 | (1566) all_234_0_275 = all_160_0_163
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1561,1562) yields a new equation:
% 18.40/4.99 | (1567) all_234_0_275 = all_224_0_260
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1567 yields:
% 18.40/4.99 | (1568) all_234_0_275 = all_224_0_260
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1402,1410) yields a new equation:
% 18.40/4.99 | (1569) all_268_0_327 = all_248_0_296
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1569 yields:
% 18.40/4.99 | (1570) all_268_0_327 = all_248_0_296
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1405,1509) yields a new equation:
% 18.40/4.99 | (1571) all_262_0_318 = all_176_0_187
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1571 yields:
% 18.40/4.99 | (1572) all_262_0_318 = all_176_0_187
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1409,1524) yields a new equation:
% 18.40/4.99 | (1573) all_252_0_302 = all_250_0_299
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1399,1524) yields a new equation:
% 18.40/4.99 | (1574) all_278_0_342 = all_252_0_302
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1574 yields:
% 18.40/4.99 | (1575) all_278_0_342 = all_252_0_302
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1467,1536) yields a new equation:
% 18.40/4.99 | (1576) all_272_0_333 = all_32_0_22
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1576 yields:
% 18.40/4.99 | (1577) all_272_0_333 = all_32_0_22
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1472,1490) yields a new equation:
% 18.40/4.99 | (1578) all_258_1_312 = all_156_0_157
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1578 yields:
% 18.40/4.99 | (1579) all_258_1_312 = all_156_0_157
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1401,1558) yields a new equation:
% 18.40/4.99 | (1580) all_276_0_339 = all_266_0_324
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1580 yields:
% 18.40/4.99 | (1581) all_276_0_339 = all_266_0_324
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1575,1558) yields a new equation:
% 18.40/4.99 | (1582) all_266_0_324 = all_252_0_302
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1581,1553) yields a new equation:
% 18.40/4.99 | (1583) all_266_0_324 = all_204_0_229
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1583 yields:
% 18.40/4.99 | (1584) all_266_0_324 = all_204_0_229
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1436,1450) yields a new equation:
% 18.40/4.99 | (1585) all_244_0_290 = all_166_0_172
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1585 yields:
% 18.40/4.99 | (1586) all_244_0_290 = all_166_0_172
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1443,1450) yields a new equation:
% 18.40/4.99 | (1587) all_194_0_214 = all_166_0_172
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1587 yields:
% 18.40/4.99 | (1588) all_194_0_214 = all_166_0_172
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1340,1341) yields a new equation:
% 18.40/4.99 | (1589) all_270_2_332 = all_244_2_292
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1589 yields:
% 18.40/4.99 | (1590) all_270_2_332 = all_244_2_292
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1435,1577) yields a new equation:
% 18.40/4.99 | (1591) all_256_0_308 = all_32_0_22
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1591 yields:
% 18.40/4.99 | (1592) all_256_0_308 = all_32_0_22
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1437,1449) yields a new equation:
% 18.40/4.99 | (1593) all_244_0_290 = all_174_0_184
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1593 yields:
% 18.40/4.99 | (1594) all_244_0_290 = all_174_0_184
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1339,1590) yields a new equation:
% 18.40/4.99 | (1595) all_244_2_292 = all_0_6_6
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1404,1570) yields a new equation:
% 18.40/4.99 | (1596) all_264_0_321 = all_248_0_296
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1596 yields:
% 18.40/4.99 | (1597) all_264_0_321 = all_248_0_296
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1582,1584) yields a new equation:
% 18.40/4.99 | (1598) all_252_0_302 = all_204_0_229
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1598 yields:
% 18.40/4.99 | (1599) all_252_0_302 = all_204_0_229
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1406,1597) yields a new equation:
% 18.40/4.99 | (1600) all_262_0_318 = all_248_0_296
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1600 yields:
% 18.40/4.99 | (1601) all_262_0_318 = all_248_0_296
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1413,1601) yields a new equation:
% 18.40/4.99 | (1602) all_248_0_296 = all_220_0_254
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1572,1601) yields a new equation:
% 18.40/4.99 | (1603) all_248_0_296 = all_176_0_187
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1470,1579) yields a new equation:
% 18.40/4.99 | (1604) all_242_0_287 = all_156_0_157
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1604 yields:
% 18.40/4.99 | (1605) all_242_0_287 = all_156_0_157
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1439,1592) yields a new equation:
% 18.40/4.99 | (1606) all_216_0_248 = all_32_0_22
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1606 yields:
% 18.40/4.99 | (1607) all_216_0_248 = all_32_0_22
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1411,1419) yields a new equation:
% 18.40/4.99 | (1608) all_246_0_293 = all_196_0_217
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1608 yields:
% 18.40/4.99 | (1609) all_246_0_293 = all_196_0_217
% 18.40/4.99 |
% 18.40/4.99 | Combining equations (1573,1599) yields a new equation:
% 18.40/4.99 | (1610) all_250_0_299 = all_204_0_229
% 18.40/4.99 |
% 18.40/4.99 | Simplifying 1610 yields:
% 18.40/4.99 | (1611) all_250_0_299 = all_204_0_229
% 18.40/4.99 |
% 18.40/5.00 | Combining equations (1417,1611) yields a new equation:
% 18.40/5.00 | (1612) all_204_0_229 = all_198_0_220
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1530,1611) yields a new equation:
% 18.40/5.00 | (1613) all_212_0_241 = all_204_0_229
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1613 yields:
% 18.40/5.00 | (1614) all_212_0_241 = all_204_0_229
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1602,1603) yields a new equation:
% 18.40/5.00 | (1615) all_220_0_254 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1615 yields:
% 18.40/5.00 | (1616) all_220_0_254 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1418,1609) yields a new equation:
% 18.40/5.00 | (1617) all_198_0_220 = all_196_0_217
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1617 yields:
% 18.40/5.00 | (1618) all_198_0_220 = all_196_0_217
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1423,1609) yields a new equation:
% 18.40/5.00 | (1619) all_196_0_217 = all_162_0_166
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1422,1609) yields a new equation:
% 18.40/5.00 | (1620) all_196_0_217 = all_168_0_175
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1586,1594) yields a new equation:
% 18.40/5.00 | (1621) all_174_0_184 = all_166_0_172
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1447,1594) yields a new equation:
% 18.40/5.00 | (1622) all_178_0_190 = all_174_0_184
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1622 yields:
% 18.40/5.00 | (1623) all_178_0_190 = all_174_0_184
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1444,1605) yields a new equation:
% 18.40/5.00 | (1624) all_194_0_214 = all_156_0_157
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1624 yields:
% 18.40/5.00 | (1625) all_194_0_214 = all_156_0_157
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1371,1568) yields a new equation:
% 18.40/5.00 | (1626) all_224_0_260 = all_222_0_257
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1566,1568) yields a new equation:
% 18.40/5.00 | (1627) all_224_0_260 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1626,1627) yields a new equation:
% 18.40/5.00 | (1628) all_222_0_257 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1628 yields:
% 18.40/5.00 | (1629) all_222_0_257 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1372,1629) yields a new equation:
% 18.40/5.00 | (1630) all_206_0_232 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1630 yields:
% 18.40/5.00 | (1631) all_206_0_232 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1544,1616) yields a new equation:
% 18.40/5.00 | (1632) all_218_0_251 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1632 yields:
% 18.40/5.00 | (1633) all_218_0_251 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1545,1633) yields a new equation:
% 18.40/5.00 | (1634) all_212_0_241 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1634 yields:
% 18.40/5.00 | (1635) all_212_0_241 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1440,1607) yields a new equation:
% 18.40/5.00 | (1636) all_210_0_238 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1636 yields:
% 18.40/5.00 | (1637) all_210_0_238 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1614,1635) yields a new equation:
% 18.40/5.00 | (1638) all_204_0_229 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1638 yields:
% 18.40/5.00 | (1639) all_204_0_229 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1441,1637) yields a new equation:
% 18.40/5.00 | (1640) all_208_0_235 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1640 yields:
% 18.40/5.00 | (1641) all_208_0_235 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1445,1641) yields a new equation:
% 18.40/5.00 | (1642) all_190_0_208 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1642 yields:
% 18.40/5.00 | (1643) all_190_0_208 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1373,1631) yields a new equation:
% 18.40/5.00 | (1644) all_202_0_226 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1644 yields:
% 18.40/5.00 | (1645) all_202_0_226 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1612,1639) yields a new equation:
% 18.40/5.00 | (1646) all_198_0_220 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1646 yields:
% 18.40/5.00 | (1647) all_198_0_220 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1374,1645) yields a new equation:
% 18.40/5.00 | (1648) all_200_0_223 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1648 yields:
% 18.40/5.00 | (1649) all_200_0_223 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1375,1649) yields a new equation:
% 18.40/5.00 | (1650) all_184_0_199 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1650 yields:
% 18.40/5.00 | (1651) all_184_0_199 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1618,1647) yields a new equation:
% 18.40/5.00 | (1652) all_196_0_217 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1652 yields:
% 18.40/5.00 | (1653) all_196_0_217 = all_176_0_187
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1620,1653) yields a new equation:
% 18.40/5.00 | (1654) all_176_0_187 = all_168_0_175
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1619,1653) yields a new equation:
% 18.40/5.00 | (1655) all_176_0_187 = all_162_0_166
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1588,1625) yields a new equation:
% 18.40/5.00 | (1656) all_166_0_172 = all_156_0_157
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1656 yields:
% 18.40/5.00 | (1657) all_166_0_172 = all_156_0_157
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1474,1625) yields a new equation:
% 18.40/5.00 | (1658) all_156_0_157 = all_146_0_142
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1446,1643) yields a new equation:
% 18.40/5.00 | (1659) all_180_0_193 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1659 yields:
% 18.40/5.00 | (1660) all_180_0_193 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1376,1651) yields a new equation:
% 18.40/5.00 | (1661) all_182_0_196 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1661 yields:
% 18.40/5.00 | (1662) all_182_0_196 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1377,1662) yields a new equation:
% 18.40/5.00 | (1663) all_172_0_181 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1663 yields:
% 18.40/5.00 | (1664) all_172_0_181 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1448,1660) yields a new equation:
% 18.40/5.00 | (1665) all_178_0_190 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1665 yields:
% 18.40/5.00 | (1666) all_178_0_190 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1623,1666) yields a new equation:
% 18.40/5.00 | (1667) all_174_0_184 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1667 yields:
% 18.40/5.00 | (1668) all_174_0_184 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1654,1655) yields a new equation:
% 18.40/5.00 | (1669) all_168_0_175 = all_162_0_166
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1669 yields:
% 18.40/5.00 | (1670) all_168_0_175 = all_162_0_166
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1621,1668) yields a new equation:
% 18.40/5.00 | (1671) all_166_0_172 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1671 yields:
% 18.40/5.00 | (1672) all_166_0_172 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1379,1664) yields a new equation:
% 18.40/5.00 | (1673) all_170_0_178 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1673 yields:
% 18.40/5.00 | (1674) all_170_0_178 = all_160_0_163
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1381,1674) yields a new equation:
% 18.40/5.00 | (1675) all_160_0_163 = all_158_0_160
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1378,1674) yields a new equation:
% 18.40/5.00 | (1676) all_160_0_163 = all_23_3_18
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1424,1670) yields a new equation:
% 18.40/5.00 | (1677) all_162_0_166 = all_148_0_145
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1421,1670) yields a new equation:
% 18.40/5.00 | (1678) all_162_0_166 = all_38_0_31
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1657,1672) yields a new equation:
% 18.40/5.00 | (1679) all_156_0_157 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1679 yields:
% 18.40/5.00 | (1680) all_156_0_157 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1677,1678) yields a new equation:
% 18.40/5.00 | (1681) all_148_0_145 = all_38_0_31
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1681 yields:
% 18.40/5.00 | (1682) all_148_0_145 = all_38_0_31
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1675,1676) yields a new equation:
% 18.40/5.00 | (1683) all_158_0_160 = all_23_3_18
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1683 yields:
% 18.40/5.00 | (1684) all_158_0_160 = all_23_3_18
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1383,1382) yields a new equation:
% 18.40/5.00 | (1685) all_152_0_151 = all_150_0_148
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1684,1382) yields a new equation:
% 18.40/5.00 | (1686) all_152_0_151 = all_23_3_18
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1658,1680) yields a new equation:
% 18.40/5.00 | (1687) all_146_0_142 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1687 yields:
% 18.40/5.00 | (1688) all_146_0_142 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1685,1686) yields a new equation:
% 18.40/5.00 | (1689) all_150_0_148 = all_23_3_18
% 18.40/5.00 |
% 18.40/5.00 | Simplifying 1689 yields:
% 18.40/5.00 | (1690) all_150_0_148 = all_23_3_18
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1668,1594) yields a new equation:
% 18.40/5.00 | (1691) all_244_0_290 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1595,1590) yields a new equation:
% 18.40/5.00 | (1339) all_270_2_332 = all_0_6_6
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1595,1341) yields a new equation:
% 18.40/5.00 | (1693) all_274_2_338 = all_0_6_6
% 18.40/5.00 |
% 18.40/5.00 | Combining equations (1672,1450) yields a new equation:
% 18.40/5.00 | (1694) all_274_0_336 = all_32_0_22
% 18.40/5.00 |
% 18.40/5.01 | From (1693) and (981) follows:
% 18.40/5.01 | (1695) relation_dom(all_0_6_6) = all_274_1_337
% 18.40/5.01 |
% 18.40/5.01 | From (1339) and (969) follows:
% 18.40/5.01 | (1696) relation_dom(all_0_6_6) = all_270_1_331
% 18.40/5.01 |
% 18.40/5.01 | From (1595) and (897) follows:
% 18.40/5.01 | (1697) relation_dom(all_0_6_6) = all_244_1_291
% 18.40/5.01 |
% 18.40/5.01 | From (1690) and (694) follows:
% 18.40/5.01 | (71) relation_dom(all_0_6_6) = all_23_3_18
% 18.40/5.01 |
% 18.40/5.01 | From (1682) and (686) follows:
% 18.40/5.01 | (106) relation_dom(all_0_7_7) = all_38_0_31
% 18.40/5.01 |
% 18.40/5.01 | From (1688) and (682) follows:
% 18.40/5.01 | (90) relation_dom(all_0_8_8) = all_32_0_22
% 18.40/5.01 |
% 18.40/5.01 | Instantiating formula (26) with all_0_6_6, all_274_1_337, all_23_3_18 and discharging atoms relation_dom(all_0_6_6) = all_274_1_337, relation_dom(all_0_6_6) = all_23_3_18, yields:
% 18.40/5.01 | (1701) all_274_1_337 = all_23_3_18
% 18.40/5.01 |
% 18.40/5.01 | Instantiating formula (26) with all_0_6_6, all_270_1_331, all_274_1_337 and discharging atoms relation_dom(all_0_6_6) = all_274_1_337, relation_dom(all_0_6_6) = all_270_1_331, yields:
% 18.40/5.01 | (1702) all_274_1_337 = all_270_1_331
% 18.40/5.01 |
% 18.40/5.01 | Instantiating formula (26) with all_0_6_6, all_244_1_291, all_274_1_337 and discharging atoms relation_dom(all_0_6_6) = all_274_1_337, relation_dom(all_0_6_6) = all_244_1_291, yields:
% 18.40/5.01 | (1703) all_274_1_337 = all_244_1_291
% 18.40/5.01 |
% 18.40/5.01 | Combining equations (1701,1702) yields a new equation:
% 18.40/5.01 | (1704) all_270_1_331 = all_23_3_18
% 18.40/5.01 |
% 18.40/5.01 | Combining equations (1703,1702) yields a new equation:
% 18.40/5.01 | (1705) all_270_1_331 = all_244_1_291
% 18.40/5.01 |
% 18.40/5.01 | Combining equations (1705,1704) yields a new equation:
% 18.40/5.01 | (1706) all_244_1_291 = all_23_3_18
% 18.40/5.01 |
% 18.40/5.01 | Simplifying 1706 yields:
% 18.40/5.01 | (1707) all_244_1_291 = all_23_3_18
% 18.40/5.01 |
% 18.40/5.01 | Combining equations (1704,1702) yields a new equation:
% 18.40/5.01 | (1701) all_274_1_337 = all_23_3_18
% 18.40/5.01 |
% 18.40/5.01 +-Applying beta-rule and splitting (982), into two cases.
% 18.40/5.01 |-Branch one:
% 18.40/5.01 | (1709) ~ in(all_30_2_21, all_274_1_337)
% 18.40/5.01 |
% 18.40/5.01 | From (1701) and (1709) follows:
% 18.40/5.01 | (538) ~ in(all_30_2_21, all_23_3_18)
% 18.40/5.01 |
% 18.40/5.01 | Using (85) and (538) yields:
% 18.40/5.01 | (539) $false
% 18.40/5.01 |
% 18.40/5.01 |-The branch is then unsatisfiable
% 18.40/5.01 |-Branch two:
% 18.40/5.01 | (1712) in(all_30_2_21, all_274_1_337)
% 18.40/5.01 | (1713) in(all_64_1_50, all_38_0_31) & in(all_30_2_21, all_274_0_336)
% 18.40/5.01 |
% 18.40/5.01 | Applying alpha-rule on (1713) yields:
% 18.40/5.01 | (1714) in(all_64_1_50, all_38_0_31)
% 18.40/5.01 | (1715) in(all_30_2_21, all_274_0_336)
% 18.40/5.01 |
% 18.40/5.01 | From (1694) and (1715) follows:
% 18.40/5.01 | (1716) in(all_30_2_21, all_32_0_22)
% 18.40/5.01 |
% 18.40/5.01 +-Applying beta-rule and splitting (898), into two cases.
% 18.40/5.01 |-Branch one:
% 18.40/5.01 | (1717) ~ in(all_30_1_20, all_244_1_291)
% 18.40/5.01 |
% 18.40/5.01 | From (1707) and (1717) follows:
% 18.40/5.01 | (545) ~ in(all_30_1_20, all_23_3_18)
% 18.40/5.01 |
% 18.40/5.01 | Using (84) and (545) yields:
% 18.40/5.01 | (539) $false
% 18.40/5.01 |
% 18.40/5.01 |-The branch is then unsatisfiable
% 18.40/5.01 |-Branch two:
% 18.40/5.01 | (1720) in(all_30_1_20, all_244_1_291)
% 18.40/5.01 | (1721) in(all_102_1_107, all_38_0_31) & in(all_30_1_20, all_244_0_290)
% 18.40/5.01 |
% 18.40/5.01 | Applying alpha-rule on (1721) yields:
% 18.40/5.01 | (1722) in(all_102_1_107, all_38_0_31)
% 18.40/5.01 | (1723) in(all_30_1_20, all_244_0_290)
% 18.40/5.01 |
% 18.40/5.01 | From (1691) and (1723) follows:
% 18.40/5.01 | (1724) in(all_30_1_20, all_32_0_22)
% 18.40/5.01 |
% 18.40/5.01 | Instantiating formula (35) with all_30_0_19, all_102_1_107, all_64_1_50, all_38_0_31, all_0_7_7 and discharging atoms relation_dom(all_0_7_7) = all_38_0_31, apply(all_0_7_7, all_102_1_107) = all_30_0_19, apply(all_0_7_7, all_64_1_50) = all_30_0_19, one_to_one(all_0_7_7), relation(all_0_7_7), function(all_0_7_7), in(all_102_1_107, all_38_0_31), in(all_64_1_50, all_38_0_31), yields:
% 18.40/5.01 | (1725) all_102_1_107 = all_64_1_50
% 18.40/5.01 |
% 18.40/5.01 | From (1725) and (315) follows:
% 18.40/5.01 | (1726) apply(all_0_8_8, all_30_1_20) = all_64_1_50
% 18.40/5.01 |
% 18.40/5.01 | Instantiating formula (35) with all_64_1_50, all_30_1_20, all_30_2_21, all_32_0_22, all_0_8_8 and discharging atoms relation_dom(all_0_8_8) = all_32_0_22, apply(all_0_8_8, all_30_1_20) = all_64_1_50, apply(all_0_8_8, all_30_2_21) = all_64_1_50, one_to_one(all_0_8_8), relation(all_0_8_8), function(all_0_8_8), in(all_30_1_20, all_32_0_22), in(all_30_2_21, all_32_0_22), yields:
% 18.40/5.01 | (1727) all_30_1_20 = all_30_2_21
% 18.40/5.01 |
% 18.40/5.01 | Equations (1727) can reduce 82 to:
% 18.40/5.01 | (1728) $false
% 18.40/5.01 |
% 18.40/5.01 |-The branch is then unsatisfiable
% 18.40/5.01 % SZS output end Proof for theBenchmark
% 18.40/5.01
% 18.40/5.01 4428ms
%------------------------------------------------------------------------------